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 not kind then lucy is either not humble or wise and vice versa.
If someone is funny then mary is both not tall and brave and vice versa.
If someone is both not creative and happy then lucy is either strong or not creative and vice versa.
Everyone who is either wise or not funny is happy.
If someone is eit... | Mary is funny. | contradiction | ((?[X]:(~kind(X)))<=>((~humble(lucy)<~>wise(lucy))))&
((?[X]:(funny(X)))<=>((~tall(mary)&brave(mary))))&
((?[X]:((~creative(X)&happy(X))))<=>((strong(lucy)<~>~creative(lucy))))&
(![X]:((wise(X)<~>~funny(X))=>happy(X)))&
((?[X]:((calm(X)<~>patient(X))))=>((~kind(paul)|humble(paul))))&
(![X]:(~quiet(X)<=>(~generous(X)<~>... | funny(mary) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2807591803939018456529433
% SZS output start Proof for 2807591803939018456529433
2. ? [X0] : funny(X0) <=> (brave(mary) & ~tall(mary)) [input p1]
11. ! [X0] : ((calm(X0) | ~calm(X0)) => (~calm(X0) & tall(X0))) [input p10]
19. funny(mary) [input hypothesis]
29. ! [X0] : ((~calm(X0) & tall(... | 0 |
If fred is not humble then mary is both humble and not funny.
Everyone who is not calm or not generous is both not humble and not patient.
If susan is not tall then someone is tall or not old and vice versa.
If john is not curious or not creative then someone is either generous or tall and vice versa.
Everyone who is p... | Paul is kind. | neutral | ((~humble(fred))=>((humble(mary)&~funny(mary))))&
(![X]:((~calm(X)|~generous(X))=>(~humble(X)&~patient(X))))&
((~tall(susan))<=>(?[X]:((tall(X)|~old(X)))))&
(((~curious(john)|~creative(john)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((patient(X)|~rich(X))<=>(~brave(X)|~curious(X))))&
((?[X]:((calm(X)|wise(X))))=>(?[... | kind(paul) | [] | null | 0 |
Everyone who is not tall or kind is rich or curious and vice versa.
If susan is both not patient and not rich then fred is kind and vice versa.
If paul is not rich then someone is either not quiet or not wise and vice versa.
Everyone who is both calm and rich is either not old or not patient and vice versa.
Everyone wh... | John is not wise. | contradiction | (![X]:((~tall(X)|kind(X))<=>(rich(X)|curious(X))))&
(((~patient(susan)&~rich(susan)))<=>(kind(fred)))&
((~rich(paul))<=>(?[X]:((~quiet(X)<~>~wise(X)))))&
(![X]:((calm(X)&rich(X))<=>(~old(X)<~>~patient(X))))&
(![X]:(happy(X)=>(~quiet(X)<~>~tall(X))))&
((?[X]:((~rich(X)<~>creative(X))))<=>((brave(lucy)&~humble(lucy))))&
... | ~wise(john) | [
"p0",
"p2",
"p4",
"p5",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 471082214229604509232588
% SZS output start Proof for 471082214229604509232588
1. ! [X0] : ((kind(X0) | ~tall(X0)) <=> (curious(X0) | rich(X0))) [input p0]
3. ~rich(paul) <=> ? [X0] : (~quiet(X0) <~> ~wise(X0)) [input p2]
5. ! [X0] : (happy(X0) => (~quiet(X0) <~> ~tall(X0))) [input p4]
6.... | 0 |
If susan is calm or not humble then lucy is both rich and calm.
If mary is either not tall or calm then someone is both not creative and wise.
Everyone who is generous or quiet is both humble and not patient and vice versa.
Everyone who is strong or not creative is funny or not humble and vice versa.
Everyone who is no... | Alice is not kind. | neutral | (((calm(susan)|~humble(susan)))=>((rich(lucy)&calm(lucy))))&
(((~tall(mary)<~>calm(mary)))=>(?[X]:((~creative(X)&wise(X)))))&
(![X]:((generous(X)|quiet(X))<=>(humble(X)&~patient(X))))&
(![X]:((strong(X)|~creative(X))<=>(funny(X)|~humble(X))))&
(![X]:((~rich(X)|~curious(X))<=>happy(X)))&
(((~generous(fred)&wise(fred)))<... | ~kind(alice) | [] | null | 0 |
If someone is not old then someone is not patient or not funny.
If someone is both creative and not curious then paul is not generous or curious.
Everyone who is both wise and not funny is either humble or not patient.
Everyone who is both not wise and not curious is curious or not humble and vice versa.
If someone is ... | Alice is not kind. | contradiction | ((?[X]:(~old(X)))=>(?[X]:((~patient(X)|~funny(X)))))&
((?[X]:((creative(X)&~curious(X))))=>((~generous(paul)|curious(paul))))&
(![X]:((wise(X)&~funny(X))=>(humble(X)<~>~patient(X))))&
(![X]:((~wise(X)&~curious(X))<=>(curious(X)|~humble(X))))&
((?[X]:((old(X)|tall(X))))=>((rich(fred)|~funny(fred))))&
(((kind(alice)&~tal... | ~kind(alice) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1029374925154949240655965
% SZS output start Proof for 1029374925154949240655965
4. ! [X0] : ((~curious(X0) & ~wise(X0)) <=> (~humble(X0) | curious(X0))) [input p3]
12. ! [X0] : (quiet(X0) <=> (tall(X0) <~> kind(X0))) [input p11]
16. ! [X0] : (~tall(X0) <=> (curious(X0) | quiet(X0))) [inp... | 0 |
If lucy is not old then someone is quiet or wise and vice versa.
If someone is quiet then paul is both humble and patient.
If someone is tall or brave then lucy is not patient and vice versa.
If someone is not humble or not curious then someone is calm and vice versa.
If someone is not strong then someone is either cre... | Lucy is not kind. | contradiction | ((~old(lucy))<=>(?[X]:((quiet(X)|wise(X)))))&
((?[X]:(quiet(X)))=>((humble(paul)&patient(paul))))&
((?[X]:((tall(X)|brave(X))))<=>(~patient(lucy)))&
((?[X]:((~humble(X)|~curious(X))))<=>(?[X]:(calm(X))))&
((?[X]:(~strong(X)))=>(?[X]:((creative(X)<~>happy(X)))))&
(![X]:((curious(X)|tall(X))<=>~brave(X)))&
(![X]:((~stron... | ~kind(lucy) | [
"p2",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8176379455192276582855285
% SZS output start Proof for 8176379455192276582855285
3. ? [X0] : (brave(X0) | tall(X0)) <=> ~patient(lucy) [input p2]
6. ! [X0] : ((tall(X0) | curious(X0)) <=> ~brave(X0)) [input p5]
13. ! [X0] : ((curious(X0) & ~brave(X0)) <=> kind(X0)) [input p12]
16. ! [X0] ... | 0 |
If john is not brave or rich then someone is not curious or not old and vice versa. Everyone who is not creative is both not brave and tall. If someone is both not curious and strong then someone is calm or not rich and vice versa. Everyone who is wise is either not quiet or brave and vice versa. Everyone who is both q... | Alice is not curious. | neutral | (((~brave(john)|rich(john)))<=>(?[X]:((~curious(X)|~old(X)))))&
(![X]:(~creative(X)=>(~brave(X)&tall(X))))&
((?[X]:((~curious(X)&strong(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:(wise(X)<=>(~quiet(X)<~>brave(X))))&
(![X]:((quiet(X)&generous(X))=>(~brave(X)&~humble(X))))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:((curious(X... | ~curious(alice) | [] | null | 0 |
Everyone who is calm is both patient and not funny and vice versa. Everyone who is not patient is not humble or not rich and vice versa. Everyone who is not funny or creative is either not happy or not calm. If susan is not wise then someone is old and vice versa. If mary is both old and not patient then someone is eit... | Mary is not kind. | entailment | (![X]:(calm(X)<=>(patient(X)&~funny(X))))&
(![X]:(~patient(X)<=>(~humble(X)|~rich(X))))&
(![X]:((~funny(X)|creative(X))=>(~happy(X)<~>~calm(X))))&
((~wise(susan))<=>(?[X]:(old(X))))&
(((old(mary)&~patient(mary)))<=>(?[X]:((~funny(X)<~>humble(X)))))&
((~old(mary))<=>((~funny(mary)<~>~brave(mary))))&
((?[X]:((~strong(X)<... | ~kind(mary) | [
"p0",
"p2",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 687043763644132963491096
% SZS output start Proof for 687043763644132963491096
1. ! [X0] : (calm(X0) <=> (~funny(X0) & patient(X0))) [input p0]
3. ! [X0] : ((creative(X0) | ~funny(X0)) => (~happy(X0) <~> ~calm(X0))) [input p2]
8. ! [X0] : (curious(X0) => (~calm(X0) <~> funny(X0))) [input ... | 0 |
Everyone who is either brave or quiet is both strong and brave. Everyone who is both not funny and curious is both not happy and not rich and vice versa. Everyone who is either not strong or kind is either not creative or brave and vice versa. Everyone who is not rich or not old is not creative. If someone is not rich ... | Alice is funny. | contradiction | (![X]:((brave(X)<~>quiet(X))=>(strong(X)&brave(X))))&
(![X]:((~funny(X)&curious(X))<=>(~happy(X)&~rich(X))))&
(![X]:((~strong(X)<~>kind(X))<=>(~creative(X)<~>brave(X))))&
(![X]:((~rich(X)|~old(X))=>~creative(X)))&
((?[X]:(~rich(X)))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)<~>curious(X))=>(curious(X)<~>~rich(X))))&
((s... | funny(alice) | [
"p0",
"p2",
"p3",
"p5",
"p11",
"p13",
"p14",
"p15",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1844181983894682041428768
% SZS output start Proof for 1844181983894682041428768
1. ! [X0] : ((brave(X0) <~> quiet(X0)) => (brave(X0) & strong(X0))) [input p0]
3. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (~creative(X0) <~> brave(X0))) [input p2]
4. ! [X0] : ((~old(X0) | ~rich(X0)) => ~cre... | 0 |
If mary is either curious or not happy then someone is not curious or not wise. If alice is kind or not brave then someone is quiet and vice versa. If someone is not wise then alice is kind and vice versa. Everyone who is rich is either not curious or curious. Everyone who is tall or brave is both calm and not generous... | Lucy is patient. | contradiction | (((curious(mary)<~>~happy(mary)))=>(?[X]:((~curious(X)|~wise(X)))))&
(((kind(alice)|~brave(alice)))<=>(?[X]:(quiet(X))))&
((?[X]:(~wise(X)))<=>(kind(alice)))&
(![X]:(rich(X)=>(~curious(X)<~>curious(X))))&
(![X]:((tall(X)|brave(X))=>(calm(X)&~generous(X))))&
(((~tall(alice)&old(alice)))=>((~creative(mary)|kind(mary))))&... | patient(lucy) | [
"p4",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 786943634550517726340468
% SZS output start Proof for 786943634550517726340468
5. ! [X0] : ((brave(X0) | tall(X0)) => (~generous(X0) & calm(X0))) [input p4]
12. ! [X0] : ((creative(X0) | ~generous(X0)) <=> (~tall(X0) <~> ~humble(X0))) [input p11]
16. ! [X0] : ((wise(X0) & patient(X0)) <=>... | 0 |
If someone is rich then mary is not patient and vice versa.
If someone is calm then someone is both not tall and not humble and vice versa.
If paul is both quiet and not rich then mary is kind or generous and vice versa.
Everyone who is calm or happy is not funny.
Everyone who is old is both wise and generous.
Everyone... | Fred is generous. | entailment | ((?[X]:(rich(X)))<=>(~patient(mary)))&
((?[X]:(calm(X)))<=>(?[X]:((~tall(X)&~humble(X)))))&
(((quiet(paul)&~rich(paul)))<=>((kind(mary)|generous(mary))))&
(![X]:((calm(X)|happy(X))=>~funny(X)))&
(![X]:(old(X)=>(wise(X)&generous(X))))&
(![X]:((creative(X)&~creative(X))=>(happy(X)|~happy(X))))&
((?[X]:((~old(X)<~>~quiet(... | generous(fred) | [
"p7",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7700586336403879431850407
% SZS output start Proof for 7700586336403879431850407
8. ! [X0] : ((~kind(X0) | happy(X0)) <=> ~wise(X0)) [input p7]
11. ! [X0] : (~wise(X0) <=> (wise(X0) & ~strong(X0))) [input p10]
12. ! [X0] : ((~generous(X0) <~> ~calm(X0)) => (~tall(X0) & ~kind(X0))) [input ... | 0 |
Everyone who is both not old and quiet is rich or generous and vice versa. If fred is both not creative and not happy then mary is not wise and vice versa. Everyone who is either brave or old is brave or generous. Everyone who is brave is wise or quiet. If someone is either not rich or patient then paul is not old. Eve... | Lucy is not curious. | entailment | (![X]:((~old(X)&quiet(X))<=>(rich(X)|generous(X))))&
(((~creative(fred)&~happy(fred)))<=>(~wise(mary)))&
(![X]:((brave(X)<~>old(X))=>(brave(X)|generous(X))))&
(![X]:(brave(X)=>(wise(X)|quiet(X))))&
((?[X]:((~rich(X)<~>patient(X))))=>(~old(paul)))&
(![X]:((~wise(X)|quiet(X))<=>brave(X)))&
(![X]:((~strong(X)&~calm(X))=>(... | ~curious(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9213237638096938691919633
% SZS output start Proof for 9213237638096938691919633
14. ! [X0] : ((quiet(X0) | ~quiet(X0)) => ~curious(X0)) [input p13]
24. curious(lucy) [input hypothesis]
39. ! [X0] : (~curious(X0) | (~quiet(X0) & quiet(X0))) [ennf transformation 14]
111. ~curious(X0) | qui... | 0 |
Everyone who is either humble or brave is both strong and not quiet and vice versa. If paul is not wise then lucy is strong or creative. Everyone who is both not happy and strong is not funny or not curious and vice versa. Everyone who is both not funny and not happy is not strong or not funny and vice versa. Everyone ... | John is quiet. | contradiction | (![X]:((humble(X)<~>brave(X))<=>(strong(X)&~quiet(X))))&
((~wise(paul))=>((strong(lucy)|creative(lucy))))&
(![X]:((~happy(X)&strong(X))<=>(~funny(X)|~curious(X))))&
(![X]:((~funny(X)&~happy(X))<=>(~strong(X)|~funny(X))))&
(![X]:((quiet(X)|wise(X))=>(~curious(X)&~funny(X))))&
(((rich(mary)<~>~tall(mary)))<=>(~quiet(susa... | quiet(john) | [
"p2",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2404452586405804701702017
% SZS output start Proof for 2404452586405804701702017
3. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (~curious(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (~funny(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((wise(X0) | quiet(X0)) => (~fu... | 0 |
If someone is curious then someone is humble or kind.
If alice is quiet then lucy is either humble or rich.
Everyone who is either not old or curious is old or not calm and vice versa.
If john is both calm and kind then someone is either old or generous.
If mary is either generous or not creative then susan is both not... | Paul is tall. | contradiction | ((?[X]:(curious(X)))=>(?[X]:((humble(X)|kind(X)))))&
((quiet(alice))=>((humble(lucy)<~>rich(lucy))))&
(![X]:((~old(X)<~>curious(X))<=>(old(X)|~calm(X))))&
(((calm(john)&kind(john)))=>(?[X]:((old(X)<~>generous(X)))))&
(((generous(mary)<~>~creative(mary)))<=>((~kind(susan)&~happy(susan))))&
((?[X]:(~rich(X)))<=>((~brave(... | tall(paul) | [
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6640447537812275544159093
% SZS output start Proof for 6640447537812275544159093
9. ! [X0] : ((~creative(X0) <~> kind(X0)) => (quiet(X0) & ~quiet(X0))) [input p8]
10. ! [X0] : ((kind(X0) <~> rich(X0)) <=> ~tall(X0)) [input p9]
11. ! [X0] : (~creative(X0) <=> (~tall(X0) | ~rich(X0))) [inpu... | 0 |
Everyone who is not rich or not strong is either not happy or calm and vice versa.
Everyone who is not funny is strong.
Everyone who is both calm and not old is not curious.
If someone is wise then someone is both not calm and not brave and vice versa.
Everyone who is generous or rich is calm and vice versa.
Everyone w... | Alice is not patient. | neutral | (![X]:((~rich(X)|~strong(X))<=>(~happy(X)<~>calm(X))))&
(![X]:(~funny(X)=>strong(X)))&
(![X]:((calm(X)&~old(X))=>~curious(X)))&
((?[X]:(wise(X)))<=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((generous(X)|rich(X))<=>calm(X)))&
(![X]:((~calm(X)&happy(X))<=>(~quiet(X)|happy(X))))&
(((~quiet(lucy)<~>old(lucy)))<=>((~creative(j... | ~patient(alice) | [] | null | 0 |
Everyone who is not tall is both happy and not happy.
Everyone who is both generous and not creative is rich.
Everyone who is either creative or humble is not calm or not old.
Everyone who is curious is either funny or quiet.
Everyone who is patient is humble or happy and vice versa.
If someone is either brave or funny... | Paul is brave. | contradiction | (![X]:(~tall(X)=>(happy(X)&~happy(X))))&
(![X]:((generous(X)&~creative(X))=>rich(X)))&
(![X]:((creative(X)<~>humble(X))=>(~calm(X)|~old(X))))&
(![X]:(curious(X)=>(funny(X)<~>quiet(X))))&
(![X]:(patient(X)<=>(humble(X)|happy(X))))&
((?[X]:((brave(X)<~>funny(X))))=>(?[X]:((~strong(X)|~patient(X)))))&
(![X]:((~brave(X)<~>... | brave(paul) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5023467207892379320104115
% SZS output start Proof for 5023467207892379320104115
9. ! [X0] : ((~wise(X0) | ~creative(X0)) => (~quiet(X0) & brave(X0))) [input p8]
11. ? [X0] : (brave(X0) | ~strong(X0)) <=> ? [X0] : (~wise(X0) & ~brave(X0)) [input p10]
21. brave(paul) [input hypothesis]
23.... | 0 |
Everyone who is both not brave and not old is both not quiet and kind and vice versa.
Everyone who is both not strong and not patient is both not creative and not kind.
If someone is either tall or not quiet then someone is either rich or not generous and vice versa.
Everyone who is either not wise or not kind is both ... | Fred is not quiet. | contradiction | (![X]:((~brave(X)&~old(X))<=>(~quiet(X)&kind(X))))&
(![X]:((~strong(X)&~patient(X))=>(~creative(X)&~kind(X))))&
((?[X]:((tall(X)<~>~quiet(X))))<=>(?[X]:((rich(X)<~>~generous(X)))))&
(![X]:((~wise(X)<~>~kind(X))<=>(wise(X)&~humble(X))))&
(![X]:((~brave(X)|rich(X))<=>(~kind(X)&happy(X))))&
((?[X]:((rich(X)|~brave(X))))=>... | ~quiet(fred) | [
"p0",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 75059871928714483151111
% SZS output start Proof for 75059871928714483151111
1. ! [X0] : ((~old(X0) & ~brave(X0)) <=> (kind(X0) & ~quiet(X0))) [input p0]
5. ! [X0] : ((rich(X0) | ~brave(X0)) <=> (happy(X0) & ~kind(X0))) [input p4]
10. ! [X0] : ((~patient(X0) & quiet(X0)) <=> (~kind(X0) | ... | 0 |
Everyone who is either wise or humble is not funny.
If someone is either not old or not generous then lucy is not wise or not creative and vice versa.
Everyone who is either not quiet or not strong is curious and vice versa.
Everyone who is either brave or rich is strong.
Everyone who is not patient is not calm or not ... | Lucy is calm. | neutral | (![X]:((wise(X)<~>humble(X))=>~funny(X)))&
((?[X]:((~old(X)<~>~generous(X))))<=>((~wise(lucy)|~creative(lucy))))&
(![X]:((~quiet(X)<~>~strong(X))<=>curious(X)))&
(![X]:((brave(X)<~>rich(X))=>strong(X)))&
(![X]:(~patient(X)<=>(~calm(X)|~kind(X))))&
(![X]:(~quiet(X)=>(~quiet(X)<~>~brave(X))))&
((~kind(paul))<=>(?[X]:(~ca... | calm(lucy) | [] | null | 0 |
If someone is old then mary is either not kind or not curious. Everyone who is tall is calm and vice versa. Everyone who is funny is either kind or humble and vice versa. Everyone who is wise is both happy and old. If someone is both not creative and not generous then someone is both not tall and strong. Everyone who i... | Lucy is not brave. | neutral | ((?[X]:(old(X)))=>((~kind(mary)<~>~curious(mary))))&
(![X]:(tall(X)<=>calm(X)))&
(![X]:(funny(X)<=>(kind(X)<~>humble(X))))&
(![X]:(wise(X)=>(happy(X)&old(X))))&
((?[X]:((~creative(X)&~generous(X))))=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((wise(X)<~>humble(X))<=>(patient(X)&creative(X))))&
((?[X]:((humble(X)<~>brave(X)... | ~brave(lucy) | [] | null | 0 |
Everyone who is either creative or happy is both patient and not happy and vice versa.
If fred is not patient or generous then susan is either not funny or curious and vice versa.
Everyone who is not generous or funny is not strong.
If fred is either wise or not creative then susan is either not rich or humble and vice... | Alice is not old. | neutral | (![X]:((creative(X)<~>happy(X))<=>(patient(X)&~happy(X))))&
(((~patient(fred)|generous(fred)))<=>((~funny(susan)<~>curious(susan))))&
(![X]:((~generous(X)|funny(X))=>~strong(X)))&
(((wise(fred)<~>~creative(fred)))<=>((~rich(susan)<~>humble(susan))))&
(((~calm(mary)|rich(mary)))<=>(?[X]:((~humble(X)|brave(X)))))&
(![X]:... | ~old(alice) | [] | null | 0 |
Everyone who is either curious or not funny is kind or not curious.
If paul is not strong or not patient then lucy is either generous or happy and vice versa.
Everyone who is quiet or funny is creative or generous.
If someone is not patient or not strong then someone is either wise or not happy and vice versa.
Everyone... | Mary is not curious. | entailment | (![X]:((curious(X)<~>~funny(X))=>(kind(X)|~curious(X))))&
(((~strong(paul)|~patient(paul)))<=>((generous(lucy)<~>happy(lucy))))&
(![X]:((quiet(X)|funny(X))=>(creative(X)|generous(X))))&
((?[X]:((~patient(X)|~strong(X))))<=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:((calm(X)|quiet(X))=>~humble(X)))&
(((~kind(fred)|~old(fre... | ~curious(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 215369649391489131949540
% SZS output start Proof for 215369649391489131949540
13. ! [X0] : ((curious(X0) | ~funny(X0)) <=> ~curious(X0)) [input p12]
23. curious(mary) [input hypothesis]
66. ! [X0] : (((curious(X0) | ~funny(X0)) | curious(X0)) & (~curious(X0) | (~curious(X0) & funny(X0)))... | 0 |
If someone is both not calm and not creative then fred is both humble and rich.
Everyone who is both not rich and not funny is both not kind and humble and vice versa.
If someone is tall then susan is both not rich and brave.
Everyone who is both not wise and not happy is both patient and not tall and vice versa.
Every... | Susan is humble. | entailment | ((?[X]:((~calm(X)&~creative(X))))=>((humble(fred)&rich(fred))))&
(![X]:((~rich(X)&~funny(X))<=>(~kind(X)&humble(X))))&
((?[X]:(tall(X)))=>((~rich(susan)&brave(susan))))&
(![X]:((~wise(X)&~happy(X))<=>(patient(X)&~tall(X))))&
(![X]:((~patient(X)&patient(X))<=>(~creative(X)&funny(X))))&
(![X]:(strong(X)<=>(~curious(X)|cu... | humble(susan) | [
"p10",
"p11",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3998853303443185259242844
% SZS output start Proof for 3998853303443185259242844
11. ~wise(susan) <=> ? [X0] : ~calm(X0) [input p10]
12. ! [X0] : ((~curious(X0) | tall(X0)) => ~calm(X0)) [input p11]
18. wise(susan) | humble(susan) [input p17]
22. ? [X0] : tall(X0) [input p21]
25. ~humble(... | 0 |
If john is brave then fred is both calm and curious. Everyone who is not rich is calm and vice versa. Everyone who is both not tall and creative is not curious. If fred is not wise or tall then mary is both not funny and happy and vice versa. Everyone who is both curious and rich is either not curious or not generous. ... | Lucy is strong. | entailment | ((brave(john))=>((calm(fred)&curious(fred))))&
(![X]:(~rich(X)<=>calm(X)))&
(![X]:((~tall(X)&creative(X))=>~curious(X)))&
(((~wise(fred)|tall(fred)))<=>((~funny(mary)&happy(mary))))&
(![X]:((curious(X)&rich(X))=>(~curious(X)<~>~generous(X))))&
((?[X]:((strong(X)<~>~happy(X))))<=>(generous(lucy)))&
((old(susan))<=>(?[X]... | strong(lucy) | [
"p5",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4022119636013033517482474
% SZS output start Proof for 4022119636013033517482474
6. ? [X0] : (strong(X0) <~> ~happy(X0)) <=> generous(lucy) [input p5]
10. ! [X0] : ((~happy(X0) & happy(X0)) <=> (~happy(X0) <~> ~quiet(X0))) [input p9]
11. ! [X0] : ((quiet(X0) | strong(X0)) => ~quiet(X0)) [... | 0 |
Everyone who is either not creative or kind is both kind and creative and vice versa.
If someone is both brave and patient then someone is either not curious or not rich and vice versa.
If someone is tall then fred is not curious and vice versa.
Everyone who is both quiet and not patient is funny.
Everyone who is eithe... | Fred is not humble. | entailment | (![X]:((~creative(X)<~>kind(X))<=>(kind(X)&creative(X))))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((~curious(X)<~>~rich(X)))))&
((?[X]:(tall(X)))<=>(~curious(fred)))&
(![X]:((quiet(X)&~patient(X))=>funny(X)))&
(![X]:((~kind(X)<~>~creative(X))<=>(kind(X)<~>generous(X))))&
((?[X]:((kind(X)&~humble(X))))<=>(tall(alice)))... | ~humble(fred) | [
"p0",
"p4",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2655776693471559223774137
% SZS output start Proof for 2655776693471559223774137
1. ! [X0] : ((~creative(X0) <~> kind(X0)) <=> (creative(X0) & kind(X0))) [input p0]
5. ! [X0] : ((~kind(X0) <~> ~creative(X0)) <=> (kind(X0) <~> generous(X0))) [input p4]
11. ? [X0] : ~rich(X0) <=> ? [X0] : (... | 0 |
If someone is both not patient and happy then john is either not quiet or brave. If mary is not kind or calm then someone is both brave and not strong and vice versa. If alice is generous then someone is both not humble and not creative and vice versa. If someone is not funny then lucy is not wise or quiet. Everyone wh... | Mary is old. | entailment | ((?[X]:((~patient(X)&happy(X))))=>((~quiet(john)<~>brave(john))))&
(((~kind(mary)|calm(mary)))<=>(?[X]:((brave(X)&~strong(X)))))&
((generous(alice))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:(~funny(X)))=>((~wise(lucy)|quiet(lucy))))&
(![X]:((humble(X)|~calm(X))<=>(tall(X)&brave(X))))&
(![X]:((creative(X)|old(X))<=... | old(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7787250258894972055549250
% SZS output start Proof for 7787250258894972055549250
6. ! [X0] : ((old(X0) | creative(X0)) <=> ~creative(X0)) [input p5]
23. ~old(mary) [input hypothesis]
47. ! [X0] : (((old(X0) | creative(X0)) | creative(X0)) & (~creative(X0) | (~old(X0) & ~creative(X0)))) [n... | 0 |
Everyone who is both strong and calm is not funny or not tall and vice versa.
If someone is either patient or not tall then alice is either brave or not kind.
Everyone who is either not curious or not wise is happy or not brave and vice versa.
Everyone who is either not wise or rich is not tall.
If someone is strong th... | Alice is not strong. | contradiction | (![X]:((strong(X)&calm(X))<=>(~funny(X)|~tall(X))))&
((?[X]:((patient(X)<~>~tall(X))))=>((brave(alice)<~>~kind(alice))))&
(![X]:((~curious(X)<~>~wise(X))<=>(happy(X)|~brave(X))))&
(![X]:((~wise(X)<~>rich(X))=>~tall(X)))&
((?[X]:(strong(X)))<=>(?[X]:((quiet(X)&wise(X)))))&
((generous(alice))<=>(?[X]:((~strong(X)&curious... | ~strong(alice) | [
"p0",
"p2",
"p3",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8787665713930267371940656
% SZS output start Proof for 8787665713930267371940656
1. ! [X0] : ((calm(X0) & strong(X0)) <=> (~tall(X0) | ~funny(X0))) [input p0]
3. ! [X0] : ((~curious(X0) <~> ~wise(X0)) <=> (~brave(X0) | happy(X0))) [input p2]
4. ! [X0] : ((~wise(X0) <~> rich(X0)) => ~tall(... | 0 |
If someone is both brave and generous then someone is either wise or brave.
Everyone who is not funny or not calm is humble or not funny and vice versa.
If someone is both tall and not rich then alice is not creative and vice versa.
If someone is both rich and creative then someone is either generous or not creative.
E... | Alice is not rich. | contradiction | ((?[X]:((brave(X)&generous(X))))=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((~funny(X)|~calm(X))<=>(humble(X)|~funny(X))))&
((?[X]:((tall(X)&~rich(X))))<=>(~creative(alice)))&
((?[X]:((rich(X)&creative(X))))=>(?[X]:((generous(X)<~>~creative(X)))))&
(![X]:(~old(X)<=>(wise(X)<~>~quiet(X))))&
(![X]:((~old(X)|~happy(X))=>~ric... | ~rich(alice) | [
"p5",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3581681865984110958150853
% SZS output start Proof for 3581681865984110958150853
6. ! [X0] : ((~happy(X0) | ~old(X0)) => ~rich(X0)) [input p5]
7. ! [X0] : (kind(X0) <=> old(X0)) [input p6]
8. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> (~quiet(X0) & ~old(X0))) [input p7]
11. ! [X0] : ((~crea... | 0 |
Everyone who is brave is not calm and vice versa.
Everyone who is kind is not tall or curious.
Everyone who is either kind or not patient is strong.
If someone is either humble or not humble then alice is both happy and old and vice versa.
Everyone who is not generous or not kind is both not quiet and calm and vice ver... | Alice is not strong. | entailment | (![X]:(brave(X)<=>~calm(X)))&
(![X]:(kind(X)=>(~tall(X)|curious(X))))&
(![X]:((kind(X)<~>~patient(X))=>strong(X)))&
((?[X]:((humble(X)<~>~humble(X))))<=>((happy(alice)&old(alice))))&
(![X]:((~generous(X)|~kind(X))<=>(~quiet(X)&calm(X))))&
(![X]:((~calm(X)|patient(X))<=>(~strong(X)|calm(X))))&
(![X]:((~patient(X)<~>calm... | ~strong(alice) | [
"p0",
"p4",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5143428864722018102810281
% SZS output start Proof for 5143428864722018102810281
1. ! [X0] : (brave(X0) <=> ~calm(X0)) [input p0]
5. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> (calm(X0) & ~quiet(X0))) [input p4]
6. ! [X0] : ((patient(X0) | ~calm(X0)) <=> (calm(X0) | ~strong(X0))) [input p5... | 0 |
If lucy is kind or not wise then alice is not curious and vice versa.
If someone is both not kind and creative then someone is either not wise or not creative.
Everyone who is generous is either wise or not old.
Everyone who is funny is both not tall and patient.
If someone is brave then someone is both creative and no... | Paul is not calm. | entailment | (((kind(lucy)|~wise(lucy)))<=>(~curious(alice)))&
((?[X]:((~kind(X)&creative(X))))=>(?[X]:((~wise(X)<~>~creative(X)))))&
(![X]:(generous(X)=>(wise(X)<~>~old(X))))&
(![X]:(funny(X)=>(~tall(X)&patient(X))))&
((?[X]:(brave(X)))<=>(?[X]:((creative(X)&~brave(X)))))&
(((~strong(lucy)|patient(lucy)))<=>(~humble(mary)))&
(![X]... | ~calm(paul) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3136620228665073347139937
% SZS output start Proof for 3136620228665073347139937
14. ! [X0] : (generous(X0) <=> (~happy(X0) | ~generous(X0))) [input p13]
16. ! [X0] : ((~curious(X0) | generous(X0)) <=> (~calm(X0) & ~curious(X0))) [input p15]
24. calm(paul) [input hypothesis]
63. ! [X0] : ... | 0 |
Everyone who is either not old or old is not kind and vice versa. If someone is either not generous or not brave then someone is either not generous or strong and vice versa. Everyone who is creative is either patient or wise. If someone is either strong or not calm then lucy is either not old or not quiet. If someone ... | Lucy is not kind. | entailment | (![X]:((~old(X)<~>old(X))<=>~kind(X)))&
((?[X]:((~generous(X)<~>~brave(X))))<=>(?[X]:((~generous(X)<~>strong(X)))))&
(![X]:(creative(X)=>(patient(X)<~>wise(X))))&
((?[X]:((strong(X)<~>~calm(X))))=>((~old(lucy)<~>~quiet(lucy))))&
((?[X]:(~curious(X)))=>(strong(alice)))&
(![X]:((~rich(X)|brave(X))=>~quiet(X)))&
(![X]:((~... | ~kind(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4147770405957036336351234
% SZS output start Proof for 4147770405957036336351234
1. ! [X0] : ((~old(X0) <~> old(X0)) <=> ~kind(X0)) [input p0]
23. kind(lucy) [input hypothesis]
27. ! [X0] : ((~old(X0) <~> old(X0)) => ~kind(X0)) [unused predicate definition removal 1]
31. ! [X0] : (~kind(X... | 0 |
Everyone who is either strong or wise is either not generous or not creative and vice versa.
If alice is both kind and old then someone is not calm.
Everyone who is patient or not happy is not brave and vice versa.
Everyone who is both humble and not wise is both wise and humble and vice versa.
Everyone who is quiet or... | John is not calm. | entailment | (![X]:((strong(X)<~>wise(X))<=>(~generous(X)<~>~creative(X))))&
(((kind(alice)&old(alice)))=>(?[X]:(~calm(X))))&
(![X]:((patient(X)|~happy(X))<=>~brave(X)))&
(![X]:((humble(X)&~wise(X))<=>(wise(X)&humble(X))))&
(![X]:((quiet(X)|creative(X))=>(funny(X)&humble(X))))&
(((~humble(susan)|old(susan)))<=>(?[X]:(~quiet(X))))&
... | ~calm(john) | [
"p3",
"p4",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2362720307333942582687670
% SZS output start Proof for 2362720307333942582687670
4. ! [X0] : ((~wise(X0) & humble(X0)) <=> (humble(X0) & wise(X0))) [input p3]
5. ! [X0] : ((creative(X0) | quiet(X0)) => (humble(X0) & funny(X0))) [input p4]
14. ? [X0] : (~funny(X0) | ~tall(X0)) => ? [X0] : ... | 0 |
Everyone who is funny is brave or not kind and vice versa. Everyone who is either not strong or rich is not humble or creative and vice versa. Everyone who is tall or creative is either not old or calm. If someone is either not wise or curious then someone is not rich or creative and vice versa. Everyone who is not fun... | Susan is kind. | entailment | (![X]:(funny(X)<=>(brave(X)|~kind(X))))&
(![X]:((~strong(X)<~>rich(X))<=>(~humble(X)|creative(X))))&
(![X]:((tall(X)|creative(X))=>(~old(X)<~>calm(X))))&
((?[X]:((~wise(X)<~>curious(X))))<=>(?[X]:((~rich(X)|creative(X)))))&
(![X]:(~funny(X)=>(~humble(X)<~>~kind(X))))&
((?[X]:((patient(X)<~>humble(X))))<=>(?[X]:(old(X))... | kind(susan) | [
"p0",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5007147454080230363202787
% SZS output start Proof for 5007147454080230363202787
1. ! [X0] : (funny(X0) <=> (~kind(X0) | brave(X0))) [input p0]
18. ~strong(susan) & ~funny(susan) [input p17]
25. ~kind(susan) [input hypothesis]
38. ! [X0] : ((funny(X0) | (kind(X0) & ~brave(X0))) & ((~kind(... | 0 |
Everyone who is not quiet is both wise and happy and vice versa.
Everyone who is not quiet is not strong or creative.
Everyone who is either patient or funny is both brave and not wise.
Everyone who is not kind is not patient or not happy.
If mary is not rich or not calm then mary is either tall or not kind.
Everyone w... | Mary is not quiet. | contradiction | (![X]:(~quiet(X)<=>(wise(X)&happy(X))))&
(![X]:(~quiet(X)=>(~strong(X)|creative(X))))&
(![X]:((patient(X)<~>funny(X))=>(brave(X)&~wise(X))))&
(![X]:(~kind(X)=>(~patient(X)|~happy(X))))&
(((~rich(mary)|~calm(mary)))=>((tall(mary)<~>~kind(mary))))&
(![X]:(~curious(X)=>(brave(X)|rich(X))))&
((~patient(john))=>(?[X]:((curi... | ~quiet(mary) | [
"p0",
"p3",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2609620411656510837492371
% SZS output start Proof for 2609620411656510837492371
1. ! [X0] : (~quiet(X0) <=> (happy(X0) & wise(X0))) [input p0]
4. ! [X0] : (~kind(X0) => (~happy(X0) | ~patient(X0))) [input p3]
9. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (funny(X0) & ~funny(X0))) [input p8]
... | 0 |
If someone is not creative then paul is either curious or patient and vice versa.
If someone is humble or not funny then susan is not kind or not generous and vice versa.
Everyone who is either not rich or rich is not quiet or not generous and vice versa.
If someone is either not generous or calm then susan is either g... | Susan is patient. | entailment | ((?[X]:(~creative(X)))<=>((curious(paul)<~>patient(paul))))&
((?[X]:((humble(X)|~funny(X))))<=>((~kind(susan)|~generous(susan))))&
(![X]:((~rich(X)<~>rich(X))<=>(~quiet(X)|~generous(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>((generous(susan)<~>~tall(susan))))&
((?[X]:(~creative(X)))<=>((curious(paul)&humble(paul))))&... | patient(susan) | [
"p3",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3193520537990179451668568
% SZS output start Proof for 3193520537990179451668568
4. ? [X0] : (~generous(X0) <~> calm(X0)) <=> (generous(susan) <~> ~tall(susan)) [input p3]
8. ! [X0] : (old(X0) => (happy(X0) & ~generous(X0))) [input p7]
9. ! [X0] : ((~kind(X0) & tall(X0)) <=> (~tall(X0) & ... | 0 |
If fred is funny then alice is either brave or not wise and vice versa.
Everyone who is both not creative and not quiet is either not rich or rich and vice versa.
Everyone who is either humble or not strong is not calm or tall and vice versa.
If someone is not quiet then someone is not wise and vice versa.
If someone i... | Susan is curious. | entailment | ((funny(fred))<=>((brave(alice)<~>~wise(alice))))&
(![X]:((~creative(X)&~quiet(X))<=>(~rich(X)<~>rich(X))))&
(![X]:((humble(X)<~>~strong(X))<=>(~calm(X)|tall(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:(~wise(X))))&
((?[X]:(patient(X)))=>((~patient(lucy)|humble(lucy))))&
(![X]:(~curious(X)=>(old(X)<~>calm(X))))&
(![X]:((rich(X)... | curious(susan) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1398698284137267665768030
% SZS output start Proof for 1398698284137267665768030
12. ! [X0] : (humble(X0) <=> calm(X0)) [input p11]
14. ? [X0] : (~strong(X0) | ~curious(X0)) <=> ? [X0] : (~calm(X0) <~> ~humble(X0)) [input p13]
24. ~curious(susan) [input hypothesis]
27. ? [X0] : (~strong(X... | 0 |
Everyone who is either not tall or humble is both not calm and creative. Everyone who is not rich or kind is wise and vice versa. If someone is humble or not creative then fred is not wise and vice versa. If paul is either creative or not humble then someone is not tall and vice versa. If someone is either not curious ... | Fred is not generous. | entailment | (![X]:((~tall(X)<~>humble(X))=>(~calm(X)&creative(X))))&
(![X]:((~rich(X)|kind(X))<=>wise(X)))&
((?[X]:((humble(X)|~creative(X))))<=>(~wise(fred)))&
(((creative(paul)<~>~humble(paul)))<=>(?[X]:(~tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>((quiet(susan)|~quiet(susan))))&
(![X]:((funny(X)|generous(X))=>kind(X)))&
((?... | ~generous(fred) | [
"p1",
"p2",
"p5",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2226894108012493512537671
% SZS output start Proof for 2226894108012493512537671
2. ! [X0] : ((kind(X0) | ~rich(X0)) <=> wise(X0)) [input p1]
3. ? [X0] : (~creative(X0) | humble(X0)) <=> ~wise(fred) [input p2]
6. ! [X0] : ((generous(X0) | funny(X0)) => kind(X0)) [input p5]
12. (rich(john)... | 0 |
If someone is either not happy or not creative then someone is not humble.
If someone is funny then someone is not old and vice versa.
Everyone who is both not funny and patient is not creative.
If someone is not curious then lucy is not curious or patient and vice versa.
If mary is both creative and not patient then s... | Susan is calm. | neutral | ((?[X]:((~happy(X)<~>~creative(X))))=>(?[X]:(~humble(X))))&
((?[X]:(funny(X)))<=>(?[X]:(~old(X))))&
(![X]:((~funny(X)&patient(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>((~curious(lucy)|patient(lucy))))&
(((creative(mary)&~patient(mary)))=>(?[X]:((strong(X)|~funny(X)))))&
((~calm(susan))=>(?[X]:((quiet(X)|humble(X)))... | calm(susan) | [] | null | 0 |
If someone is either not funny or rich then lucy is not brave or not kind.
Everyone who is old is strong or not old and vice versa.
Everyone who is either kind or not happy is not strong or patient and vice versa.
If fred is either happy or not kind then someone is both not quiet and not creative and vice versa.
If som... | Lucy is not happy. | entailment | ((?[X]:((~funny(X)<~>rich(X))))=>((~brave(lucy)|~kind(lucy))))&
(![X]:(old(X)<=>(strong(X)|~old(X))))&
(![X]:((kind(X)<~>~happy(X))<=>(~strong(X)|patient(X))))&
(((happy(fred)<~>~kind(fred)))<=>(?[X]:((~quiet(X)&~creative(X)))))&
((?[X]:((humble(X)&funny(X))))=>((~kind(fred)|~rich(fred))))&
(![X]:((~calm(X)|happy(X))<=... | ~happy(lucy) | [
"p1",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2894916677967755189914283
% SZS output start Proof for 2894916677967755189914283
2. ! [X0] : (old(X0) <=> (~old(X0) | strong(X0))) [input p1]
6. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~curious(X0)) [input p5]
11. ! [X0] : ((~generous(X0) | tall(X0)) <=> generous(X0)) [input p10]
13. ! [X0]... | 0 |
Everyone who is both tall and not wise is both not old and not kind.
Everyone who is not happy or rich is both humble and creative.
Everyone who is both not strong and wise is humble or patient.
If someone is not happy or old then susan is both curious and kind and vice versa.
Everyone who is not generous is not humble... | Paul is not creative. | neutral | (![X]:((tall(X)&~wise(X))=>(~old(X)&~kind(X))))&
(![X]:((~happy(X)|rich(X))=>(humble(X)&creative(X))))&
(![X]:((~strong(X)&wise(X))=>(humble(X)|patient(X))))&
((?[X]:((~happy(X)|old(X))))<=>((curious(susan)&kind(susan))))&
(![X]:(~generous(X)<=>~humble(X)))&
((?[X]:((~wise(X)|curious(X))))<=>(?[X]:(~humble(X))))&
((?[X... | ~creative(paul) | [] | null | 0 |
If paul is either tall or not rich then someone is either humble or quiet.
If someone is not strong then someone is either old or not quiet and vice versa.
If someone is both not kind and generous then lucy is either not wise or not creative and vice versa.
Everyone who is either brave or not patient is either old or n... | Mary is not kind. | contradiction | (((tall(paul)<~>~rich(paul)))=>(?[X]:((humble(X)<~>quiet(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:((old(X)<~>~quiet(X)))))&
((?[X]:((~kind(X)&generous(X))))<=>((~wise(lucy)<~>~creative(lucy))))&
(![X]:((brave(X)<~>~patient(X))<=>(old(X)<~>~curious(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~strong(X)&~funny(X)))))&
(((~tall(paul)|... | ~kind(mary) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1521181852027286992124395
% SZS output start Proof for 1521181852027286992124395
5. ? [X0] : ~kind(X0) => ? [X0] : (~funny(X0) & ~strong(X0)) [input p4]
10. ! [X0] : ((humble(X0) | ~strong(X0)) <=> funny(X0)) [input p9]
25. ~kind(mary) [input hypothesis]
27. ? [X0] : ~kind(X0) => ? [X1] :... | 0 |
If john is either humble or not old then someone is both not curious and not generous. Everyone who is rich is either strong or not strong. Everyone who is either not calm or quiet is either not calm or humble and vice versa. Everyone who is not tall or not generous is both not patient and tall. Everyone who is curious... | Alice is curious. | contradiction | (((humble(john)<~>~old(john)))=>(?[X]:((~curious(X)&~generous(X)))))&
(![X]:(rich(X)=>(strong(X)<~>~strong(X))))&
(![X]:((~calm(X)<~>quiet(X))<=>(~calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~generous(X))=>(~patient(X)&tall(X))))&
(![X]:((curious(X)|~tall(X))<=>(~tall(X)<~>kind(X))))&
(![X]:((~strong(X)&~calm(X))<=>(~funn... | curious(alice) | [
"p5",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5383617002805875469474229
% SZS output start Proof for 5383617002805875469474229
6. ! [X0] : ((~calm(X0) & ~strong(X0)) <=> (funny(X0) | ~funny(X0))) [input p5]
12. ! [X0] : (curious(X0) => ~old(X0)) [input p11]
14. ! [X0] : ((calm(X0) | ~old(X0)) => (~funny(X0) & strong(X0))) [input p13]... | 0 |
Everyone who is strong is creative or not brave.
Everyone who is both rich and not curious is strong.
Everyone who is either quiet or patient is both not generous and not curious and vice versa.
Everyone who is not curious or not strong is funny.
Everyone who is wise or brave is both not wise and not humble and vice ve... | Susan is brave. | entailment | (![X]:(strong(X)=>(creative(X)|~brave(X))))&
(![X]:((rich(X)&~curious(X))=>strong(X)))&
(![X]:((quiet(X)<~>patient(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~curious(X)|~strong(X))=>funny(X)))&
(![X]:((wise(X)|brave(X))<=>(~wise(X)&~humble(X))))&
(![X]:(~generous(X)<=>(~strong(X)|quiet(X))))&
(![X]:((~tall(X)|humble(... | brave(susan) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 45611097633163361510767
% SZS output start Proof for 45611097633163361510767
3. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (~curious(X0) & ~generous(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | ~curious(X0)) => funny(X0)) [input p3]
5. ! [X0] : ((brave(X0) | wise(X0)) <=> (~humble(X0) & ~w... | 0 |
If fred is kind or tall then john is quiet.
Everyone who is kind is not happy and vice versa.
Everyone who is quiet is both old and not tall.
If someone is not humble then fred is not wise.
Everyone who is either brave or not old is either patient or not creative and vice versa.
If susan is not creative or not wise the... | Lucy is not strong. | neutral | (((kind(fred)|tall(fred)))=>(quiet(john)))&
(![X]:(kind(X)<=>~happy(X)))&
(![X]:(quiet(X)=>(old(X)&~tall(X))))&
((?[X]:(~humble(X)))=>(~wise(fred)))&
(![X]:((brave(X)<~>~old(X))<=>(patient(X)<~>~creative(X))))&
(((~creative(susan)|~wise(susan)))<=>(?[X]:((~old(X)&strong(X)))))&
((?[X]:((~generous(X)|~brave(X))))<=>(~qu... | ~strong(lucy) | [] | null | 0 |
Everyone who is old is either funny or brave and vice versa. If susan is rich or funny then someone is not funny and vice versa. Everyone who is generous or not curious is both not quiet and old and vice versa. Everyone who is either patient or not creative is patient. If someone is not generous or not funny then paul ... | Lucy is not patient. | entailment | (![X]:(old(X)<=>(funny(X)<~>brave(X))))&
(((rich(susan)|funny(susan)))<=>(?[X]:(~funny(X))))&
(![X]:((generous(X)|~curious(X))<=>(~quiet(X)&old(X))))&
(![X]:((patient(X)<~>~creative(X))=>patient(X)))&
((?[X]:((~generous(X)|~funny(X))))=>(calm(paul)))&
((~old(alice))<=>(?[X]:((happy(X)<~>calm(X)))))&
((rich(susan))=>(cr... | ~patient(lucy) | [
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4194187240210852998842002
% SZS output start Proof for 4194187240210852998842002
11. (~quiet(lucy) & ~patient(lucy)) <=> ? [X0] : (funny(X0) | ~strong(X0)) [input p10]
24. ~strong(mary) & ~quiet(mary) [input p23]
25. patient(lucy) [input hypothesis]
54. ((~quiet(lucy) & ~patient(lucy)) | ... | 0 |
If someone is quiet then lucy is generous or not patient and vice versa.
If someone is calm or not tall then someone is either strong or patient.
Everyone who is either not patient or rich is not humble and vice versa.
Everyone who is not tall or funny is not funny.
Everyone who is strong is not funny or not brave.
Eve... | Mary is not old. | contradiction | ((?[X]:(quiet(X)))<=>((generous(lucy)|~patient(lucy))))&
((?[X]:((calm(X)|~tall(X))))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((~patient(X)<~>rich(X))<=>~humble(X)))&
(![X]:((~tall(X)|funny(X))=>~funny(X)))&
(![X]:(strong(X)=>(~funny(X)|~brave(X))))&
(![X]:(~old(X)=>(happy(X)|kind(X))))&
(![X]:((humble(X)&~strong(X)... | ~old(mary) | [
"p3",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1044575383162937117889839
% SZS output start Proof for 1044575383162937117889839
4. ! [X0] : ((funny(X0) | ~tall(X0)) => ~funny(X0)) [input p3]
11. ? [X0] : (~old(X0) | happy(X0)) => ? [X0] : (patient(X0) & ~strong(X0)) [input p10]
16. ! [X0] : ((calm(X0) | ~strong(X0)) <=> (funny(X0) & o... | 0 |
If fred is either old or not tall then paul is not patient or not strong and vice versa.
If lucy is either curious or generous then someone is both not curious and not funny.
Everyone who is both happy and wise is both not quiet and quiet.
Everyone who is not wise or wise is not strong.
Everyone who is not kind or not ... | Fred is old. | contradiction | (((old(fred)<~>~tall(fred)))<=>((~patient(paul)|~strong(paul))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:((~curious(X)&~funny(X)))))&
(![X]:((happy(X)&wise(X))=>(~quiet(X)&quiet(X))))&
(![X]:((~wise(X)|wise(X))=>~strong(X)))&
(![X]:((~kind(X)|~creative(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~curious(X)=>(~creative(X)... | old(fred) | [
"p0",
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6943866503884440476601493
% SZS output start Proof for 6943866503884440476601493
1. (old(fred) <~> ~tall(fred)) <=> (~strong(paul) | ~patient(paul)) [input p0]
4. ! [X0] : ((wise(X0) | ~wise(X0)) => ~strong(X0)) [input p3]
10. ! [X0] : ((tall(X0) & old(X0)) <=> (kind(X0) & curious(X0))) [... | 0 |
If paul is both not strong and not wise then susan is not wise. If paul is funny then someone is either not rich or not patient and vice versa. If someone is not wise then mary is both kind and not calm. If mary is both patient and not wise then someone is either strong or not funny and vice versa. Everyone who is not ... | John is not curious. | entailment | (((~strong(paul)&~wise(paul)))=>(~wise(susan)))&
((funny(paul))<=>(?[X]:((~rich(X)<~>~patient(X)))))&
((?[X]:(~wise(X)))=>((kind(mary)&~calm(mary))))&
(((patient(mary)&~wise(mary)))<=>(?[X]:((strong(X)<~>~funny(X)))))&
(![X]:((~curious(X)|calm(X))=>(~old(X)<~>brave(X))))&
(![X]:((kind(X)|~patient(X))<=>brave(X)))&
((?[... | ~curious(john) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2435752126355127282946573
% SZS output start Proof for 2435752126355127282946573
16. ! [X0] : (curious(X0) <=> ~kind(X0)) [input p15]
21. kind(john) [input p20]
25. curious(john) [input hypothesis]
71. ! [X0] : ((curious(X0) | kind(X0)) & (~kind(X0) | ~curious(X0))) [nnf transformation 16... | 0 |
Everyone who is not happy or patient is either not wise or quiet and vice versa. Everyone who is either not funny or creative is rich. If susan is strong then fred is strong or not calm. If alice is either not patient or funny then someone is wise or tall. Everyone who is not humble or not patient is either wise or not... | Paul is curious. | neutral | (![X]:((~happy(X)|patient(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((~funny(X)<~>creative(X))=>rich(X)))&
((strong(susan))=>((strong(fred)|~calm(fred))))&
(((~patient(alice)<~>funny(alice)))=>(?[X]:((wise(X)|tall(X)))))&
(![X]:((~humble(X)|~patient(X))=>(wise(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>rich(X))))<=>((~rich(... | curious(paul) | [] | null | 0 |
If fred is not kind then fred is not strong and vice versa.
Everyone who is either not humble or not rich is both quiet and not generous.
If fred is not curious then alice is wise or not rich and vice versa.
Everyone who is both not humble and not rich is not strong and vice versa.
If lucy is either quiet or not humble... | John is rich. | contradiction | ((~kind(fred))<=>(~strong(fred)))&
(![X]:((~humble(X)<~>~rich(X))=>(quiet(X)&~generous(X))))&
((~curious(fred))<=>((wise(alice)|~rich(alice))))&
(![X]:((~humble(X)&~rich(X))<=>~strong(X)))&
(((quiet(lucy)<~>~humble(lucy)))<=>((old(mary)<~>generous(mary))))&
((?[X]:((~calm(X)<~>kind(X))))=>((tall(john)|~rich(john))))&
(... | rich(john) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8106496260431359933312954
% SZS output start Proof for 8106496260431359933312954
4. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> ~strong(X0)) [input p3]
10. ! [X0] : (rich(X0) <=> ~strong(X0)) [input p9]
21. rich(john) [input hypothesis]
37. ! [X0] : (((~rich(X0) & ~humble(X0)) | strong(X0)) &... | 0 |
Everyone who is funny is wise.
If someone is either quiet or not strong then lucy is either not old or creative and vice versa.
If paul is either not happy or not curious then lucy is either curious or not brave and vice versa.
If fred is tall or not curious then fred is funny.
If someone is either not old or not calm ... | Paul is not tall. | contradiction | (![X]:(funny(X)=>wise(X)))&
((?[X]:((quiet(X)<~>~strong(X))))<=>((~old(lucy)<~>creative(lucy))))&
(((~happy(paul)<~>~curious(paul)))<=>((curious(lucy)<~>~brave(lucy))))&
(((tall(fred)|~curious(fred)))=>(funny(fred)))&
((?[X]:((~old(X)<~>~calm(X))))=>(?[X]:((kind(X)<~>~patient(X)))))&
(((quiet(paul)&strong(paul)))<=>((r... | ~tall(paul) | [
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7024345381092637940954329
% SZS output start Proof for 7024345381092637940954329
15. ! [X0] : (~rich(X0) <=> tall(X0)) [input p14]
22. ~rich(paul) [input p21]
25. ~tall(paul) [input hypothesis]
66. ! [X0] : ((~rich(X0) | ~tall(X0)) & (tall(X0) | rich(X0))) [nnf transformation 15]
128. ric... | 0 |
Everyone who is not patient is either creative or not curious.
Everyone who is both not happy and not patient is either quiet or happy.
Everyone who is not creative is both not generous and not wise and vice versa.
If someone is both not curious and funny then lucy is not quiet and vice versa.
Everyone who is curious i... | Lucy is rich. | neutral | (![X]:(~patient(X)=>(creative(X)<~>~curious(X))))&
(![X]:((~happy(X)&~patient(X))=>(quiet(X)<~>happy(X))))&
(![X]:(~creative(X)<=>(~generous(X)&~wise(X))))&
((?[X]:((~curious(X)&funny(X))))<=>(~quiet(lucy)))&
(![X]:(curious(X)<=>(generous(X)|~quiet(X))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&... | rich(lucy) | [] | null | 0 |
If someone is not old or creative then someone is not curious or rich. Everyone who is happy is not strong or not rich and vice versa. Everyone who is wise or not rich is both not old and not rich and vice versa. If someone is not old then paul is calm or tall. Everyone who is patient or funny is not strong. Everyone w... | Fred is wise. | contradiction | ((?[X]:((~old(X)|creative(X))))=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:(happy(X)<=>(~strong(X)|~rich(X))))&
(![X]:((wise(X)|~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:(~old(X)))=>((calm(paul)|tall(paul))))&
(![X]:((patient(X)|funny(X))=>~strong(X)))&
(![X]:((old(X)<~>patient(X))=>(~rich(X)&~happy(X))))&
((~old(lucy))<=>... | wise(fred) | [
"p2",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2783330151653851863233463
% SZS output start Proof for 2783330151653851863233463
3. ! [X0] : ((~rich(X0) | wise(X0)) <=> (~rich(X0) & ~old(X0))) [input p2]
11. ! [X0] : ((~rich(X0) | patient(X0)) <=> ~humble(X0)) [input p10]
23. quiet(fred) & humble(fred) [input p22]
25. wise(fred) [input... | 0 |
If fred is kind or not happy then alice is brave and vice versa.
Everyone who is not generous or happy is brave.
If mary is generous then someone is wise or not calm.
Everyone who is not curious or quiet is both generous and not humble and vice versa.
Everyone who is both generous and not old is tall and vice versa.
Ev... | Mary is not humble. | neutral | (((kind(fred)|~happy(fred)))<=>(brave(alice)))&
(![X]:((~generous(X)|happy(X))=>brave(X)))&
((generous(mary))=>(?[X]:((wise(X)|~calm(X)))))&
(![X]:((~curious(X)|quiet(X))<=>(generous(X)&~humble(X))))&
(![X]:((generous(X)&~old(X))<=>tall(X)))&
(![X]:(happy(X)<=>(creative(X)|old(X))))&
(![X]:((quiet(X)|~tall(X))=>(~creat... | ~humble(mary) | [] | null | 0 |
Everyone who is both not old and not brave is creative.
If someone is either rich or not old then alice is not wise.
If someone is both not generous and not strong then mary is both funny and patient.
Everyone who is curious or not old is both creative and not patient.
Everyone who is not happy is both not strong and b... | Alice is not generous. | entailment | (![X]:((~old(X)&~brave(X))=>creative(X)))&
((?[X]:((rich(X)<~>~old(X))))=>(~wise(alice)))&
((?[X]:((~generous(X)&~strong(X))))=>((funny(mary)&patient(mary))))&
(![X]:((curious(X)|~old(X))=>(creative(X)&~patient(X))))&
(![X]:(~happy(X)=>(~strong(X)&brave(X))))&
(![X]:(~tall(X)=>(~kind(X)|~old(X))))&
(((rich(fred)&humble... | ~generous(alice) | [
"p1",
"p3",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 60956053821880290476974
% SZS output start Proof for 60956053821880290476974
2. ? [X0] : (rich(X0) <~> ~old(X0)) => ~wise(alice) [input p1]
4. ! [X0] : ((~old(X0) | curious(X0)) => (~patient(X0) & creative(X0))) [input p3]
11. ! [X0] : ((humble(X0) & brave(X0)) <=> creative(X0)) [input p1... | 0 |
Everyone who is not kind or quiet is not strong or rich and vice versa.
If alice is either not humble or rich then someone is both wise and not tall and vice versa.
Everyone who is both curious and creative is either calm or not rich and vice versa.
If someone is not generous then someone is either tall or wise and vic... | Alice is not creative. | contradiction | (![X]:((~kind(X)|quiet(X))<=>(~strong(X)|rich(X))))&
(((~humble(alice)<~>rich(alice)))<=>(?[X]:((wise(X)&~tall(X)))))&
(![X]:((curious(X)&creative(X))<=>(calm(X)<~>~rich(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((tall(X)<~>wise(X)))))&
(![X]:((~rich(X)|~wise(X))=>(~humble(X)<~>quiet(X))))&
(![X]:((generous(X)&rich(X))=>(k... | ~creative(alice) | [
"p10",
"p12",
"p13",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4255321977275280923224434
% SZS output start Proof for 4255321977275280923224434
11. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> ~creative(X0)) [input p10]
13. ! [X0] : ((calm(X0) | happy(X0)) <=> (~funny(X0) & curious(X0))) [input p12]
14. ! [X0] : ((~curious(X0) | wise(X0)) <=> (~tall(X0) <~>... | 0 |
If mary is not wise then paul is both not calm and not creative and vice versa. Everyone who is not creative or happy is both humble and not humble. Everyone who is not kind or quiet is not strong or rich and vice versa. If alice is either not humble or rich then someone is both wise and not tall and vice versa. Everyo... | Mary is not curious. | contradiction | ((~wise(mary))<=>((~calm(paul)&~creative(paul))))&
(![X]:((~creative(X)|happy(X))=>(humble(X)&~humble(X))))&
(![X]:((~kind(X)|quiet(X))<=>(~strong(X)|rich(X))))&
(((~humble(alice)<~>rich(alice)))<=>(?[X]:((wise(X)&~tall(X)))))&
(![X]:((curious(X)&creative(X))<=>(calm(X)<~>~rich(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((t... | ~curious(mary) | [
"p1",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4895364730253372377374696
% SZS output start Proof for 4895364730253372377374696
2. ! [X0] : ((happy(X0) | ~creative(X0)) => (~humble(X0) & humble(X0))) [input p1]
13. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> ~creative(X0)) [input p12]
14. ! [X0] : ((wise(X0) & ~curious(X0)) => (happy(X0) | ... | 0 |
Everyone who is not funny is curious or rich and vice versa. If fred is rich then alice is not calm or quiet and vice versa. Everyone who is both not wise and quiet is old. If susan is funny or not humble then someone is either generous or tall and vice versa. If susan is not calm or generous then john is both not old ... | Alice is not humble. | entailment | (![X]:(~funny(X)<=>(curious(X)|rich(X))))&
((rich(fred))<=>((~calm(alice)|quiet(alice))))&
(![X]:((~wise(X)&quiet(X))=>old(X)))&
(((funny(susan)|~humble(susan)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(((~calm(susan)|generous(susan)))=>((~old(john)&tall(john))))&
(![X]:((happy(X)&kind(X))<=>~funny(X)))&
(![X]:((~funny(X)... | ~humble(alice) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6257369755232281823683735
% SZS output start Proof for 6257369755232281823683735
1. ! [X0] : (~funny(X0) <=> (rich(X0) | curious(X0))) [input p0]
2. rich(fred) <=> (quiet(alice) | ~calm(alice)) [input p1]
6. ! [X0] : ((kind(X0) & happy(X0)) <=> ~funny(X0)) [input p5]
8. ! [X0] : ((happy(X... | 0 |
If paul is either not calm or not creative then someone is patient and vice versa.
Everyone who is both strong and happy is not creative or funny and vice versa.
Everyone who is both generous and humble is both not happy and not kind.
If mary is both kind and not brave then lucy is both kind and not calm and vice versa... | Fred is strong. | contradiction | (((~calm(paul)<~>~creative(paul)))<=>(?[X]:(patient(X))))&
(![X]:((strong(X)&happy(X))<=>(~creative(X)|funny(X))))&
(![X]:((generous(X)&humble(X))=>(~happy(X)&~kind(X))))&
(((kind(mary)&~brave(mary)))<=>((kind(lucy)&~calm(lucy))))&
(((happy(john)<~>quiet(john)))<=>(?[X]:((~strong(X)<~>~happy(X)))))&
(![X]:(kind(X)<=>(~... | strong(fred) | [
"p1",
"p2",
"p5",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6880729215935053526770837
% SZS output start Proof for 6880729215935053526770837
2. ! [X0] : ((happy(X0) & strong(X0)) <=> (funny(X0) | ~creative(X0))) [input p1]
3. ! [X0] : ((humble(X0) & generous(X0)) => (~kind(X0) & ~happy(X0))) [input p2]
6. ! [X0] : (kind(X0) <=> (~generous(X0) | ~b... | 0 |
Everyone who is not patient is old or not rich and vice versa.
Everyone who is both not tall and not brave is quiet or not rich and vice versa.
Everyone who is both old and happy is either not quiet or not old.
Everyone who is either kind or patient is both not rich and not quiet.
If susan is funny or brave then someon... | Susan is funny. | contradiction | (![X]:(~patient(X)<=>(old(X)|~rich(X))))&
(![X]:((~tall(X)&~brave(X))<=>(quiet(X)|~rich(X))))&
(![X]:((old(X)&happy(X))=>(~quiet(X)<~>~old(X))))&
(![X]:((kind(X)<~>patient(X))=>(~rich(X)&~quiet(X))))&
(((funny(susan)|brave(susan)))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:(strong(X)<=>(~brave(X)&~patient(X))))&
(![X]:((~h... | funny(susan) | [
"p1",
"p5",
"p9",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 861226301027551741118482
% SZS output start Proof for 861226301027551741118482
2. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> (~rich(X0) | quiet(X0))) [input p1]
6. ! [X0] : (strong(X0) <=> (~patient(X0) & ~brave(X0))) [input p5]
10. ! [X0] : ((~tall(X0) & strong(X0)) <=> (~funny(X0) & generou... | 0 |
Everyone who is not humble or funny is curious.
Everyone who is not calm or not rich is generous or rich and vice versa.
If someone is either creative or rich then lucy is patient and vice versa.
Everyone who is both tall and generous is both not wise and creative.
If someone is either not calm or not generous then sus... | Alice is brave. | neutral | (![X]:((~humble(X)|funny(X))=>curious(X)))&
(![X]:((~calm(X)|~rich(X))<=>(generous(X)|rich(X))))&
((?[X]:((creative(X)<~>rich(X))))<=>(patient(lucy)))&
(![X]:((tall(X)&generous(X))=>(~wise(X)&creative(X))))&
((?[X]:((~calm(X)<~>~generous(X))))=>((creative(susan)|generous(susan))))&
(![X]:((~humble(X)|~brave(X))<=>(funn... | brave(alice) | [] | null | 0 |
If someone is both strong and happy then paul is not tall and vice versa.
If someone is either not funny or kind then someone is patient and vice versa.
Everyone who is not generous is not rich or creative and vice versa.
Everyone who is either not calm or funny is not funny and vice versa.
Everyone who is not wise or ... | Paul is kind. | entailment | ((?[X]:((strong(X)&happy(X))))<=>(~tall(paul)))&
((?[X]:((~funny(X)<~>kind(X))))<=>(?[X]:(patient(X))))&
(![X]:(~generous(X)<=>(~rich(X)|creative(X))))&
(![X]:((~calm(X)<~>funny(X))<=>~funny(X)))&
(![X]:((~wise(X)|strong(X))<=>(happy(X)|humble(X))))&
(![X]:((~kind(X)&~humble(X))=>(~tall(X)|~humble(X))))&
(![X]:((~brave... | kind(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1658360773514210046152683
% SZS output start Proof for 1658360773514210046152683
11. ! [X0] : ((~kind(X0) | brave(X0)) <=> (kind(X0) & happy(X0))) [input p10]
20. ~kind(paul) [input hypothesis]
63. ! [X0] : (((~kind(X0) | brave(X0)) | (~kind(X0) | ~happy(X0))) & ((kind(X0) & happy(X0)) | ... | 0 |
Everyone who is either curious or not happy is either rich or wise and vice versa.
Everyone who is both tall and not wise is both patient and quiet.
If someone is both not happy and kind then alice is both brave and not humble.
Everyone who is not strong is kind.
Everyone who is funny or generous is both brave and gene... | Alice is not tall. | neutral | (![X]:((curious(X)<~>~happy(X))<=>(rich(X)<~>wise(X))))&
(![X]:((tall(X)&~wise(X))=>(patient(X)&quiet(X))))&
((?[X]:((~happy(X)&kind(X))))=>((brave(alice)&~humble(alice))))&
(![X]:(~strong(X)=>kind(X)))&
(![X]:((funny(X)|generous(X))<=>(brave(X)&generous(X))))&
(![X]:(brave(X)=>~happy(X)))&
(![X]:(tall(X)=>brave(X)))&
... | ~tall(alice) | [] | null | 0 |
Everyone who is both not wise and brave is wise or not old and vice versa. Everyone who is humble is either not happy or rich. If paul is both not happy and happy then paul is not brave and vice versa. Everyone who is curious is both not strong and funny and vice versa. If someone is either not quiet or creative then s... | Alice is not humble. | contradiction | (![X]:((~wise(X)&brave(X))<=>(wise(X)|~old(X))))&
(![X]:(humble(X)=>(~happy(X)<~>rich(X))))&
(((~happy(paul)&happy(paul)))<=>(~brave(paul)))&
(![X]:(curious(X)<=>(~strong(X)&funny(X))))&
((?[X]:((~quiet(X)<~>creative(X))))<=>(?[X]:((~quiet(X)|~creative(X)))))&
((?[X]:(~tall(X)))<=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((h... | ~humble(alice) | [
"p0",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7389798925024871350521954
% SZS output start Proof for 7389798925024871350521954
1. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (~old(X0) | wise(X0))) [input p0]
8. ? [X0] : ~humble(X0) <=> (wise(fred) & ~rich(fred)) [input p7]
24. ~humble(alice) [input hypothesis]
39. ! [X0] : (((brave(X0) & ~... | 0 |
Everyone who is not wise or not quiet is wise.
If lucy is happy then someone is both not calm and not quiet and vice versa.
Everyone who is not kind is either quiet or not brave.
Everyone who is not kind is not old and vice versa.
If paul is either wise or not patient then someone is either not wise or funny.
If paul i... | Mary is wise. | entailment | (![X]:((~wise(X)|~quiet(X))=>wise(X)))&
((happy(lucy))<=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:(~kind(X)=>(quiet(X)<~>~brave(X))))&
(![X]:(~kind(X)<=>~old(X)))&
(((wise(paul)<~>~patient(paul)))=>(?[X]:((~wise(X)<~>funny(X)))))&
((~wise(paul))=>(?[X]:((~old(X)|~tall(X)))))&
(((rich(fred)|creative(fred)))=>(?[X]:((~old(X... | wise(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 566630592705792247743540
% SZS output start Proof for 566630592705792247743540
1. ! [X0] : ((~quiet(X0) | ~wise(X0)) => wise(X0)) [input p0]
25. ~wise(mary) [input hypothesis]
27. ! [X0] : (wise(X0) | (quiet(X0) & wise(X0))) [ennf transformation 1]
81. wise(X0) | wise(X0) [cnf transformat... | 0 |
Everyone who is either old or not funny is strong or old and vice versa. Everyone who is either not funny or not curious is both not curious and not brave and vice versa. Everyone who is both brave and not creative is both not creative and creative and vice versa. If someone is either not old or rich then someone is ei... | Paul is old. | entailment | (![X]:((old(X)<~>~funny(X))<=>(strong(X)|old(X))))&
(![X]:((~funny(X)<~>~curious(X))<=>(~curious(X)&~brave(X))))&
(![X]:((brave(X)&~creative(X))<=>(~creative(X)&creative(X))))&
((?[X]:((~old(X)<~>rich(X))))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((wise(alice)|~generous(alice)))=>((kind(john)<~>quiet(john))))&
(![X]:(pa... | old(paul) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2053634736348411182310161
% SZS output start Proof for 2053634736348411182310161
10. ! [X0] : ((~kind(X0) | strong(X0)) => (calm(X0) & old(X0))) [input p9]
12. ! [X0] : (old(X0) <=> (happy(X0) | ~strong(X0))) [input p11]
25. ~old(paul) [input hypothesis]
29. ! [X0] : ((~kind(X0) | strong(... | 0 |
If someone is either not kind or not humble then fred is both humble and not curious and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creat... | Lucy is generous. | contradiction | ((?[X]:((~kind(X)<~>~humble(X))))<=>((humble(fred)&~curious(fred))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~c... | generous(lucy) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5447626669723788220583477
% SZS output start Proof for 5447626669723788220583477
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
12. ! [X0] : ((generous(X0) | quiet(X0)) <=> (generous(X0) <~> calm(X0))) [input p11]
23. generous(lucy) [input hypothesis]
... | 0 |
If someone is not strong then someone is old or not old and vice versa.
If someone is either not generous or not brave then someone is both not old and not funny.
Everyone who is both not quiet and not funny is either creative or not generous and vice versa.
Everyone who is either generous or not quiet is not strong or... | Susan is calm. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:((old(X)|~old(X)))))&
((?[X]:((~generous(X)<~>~brave(X))))=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((~quiet(X)&~funny(X))<=>(creative(X)<~>~generous(X))))&
(![X]:((generous(X)<~>~quiet(X))<=>(~strong(X)|calm(X))))&
(![X]:((funny(X)|~quiet(X))<=>~calm(X)))&
((?[X]:((~calm(X)&old(X))))=>(?[X]:(... | calm(susan) | [
"p4",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6111978374504732457762686
% SZS output start Proof for 6111978374504732457762686
5. ! [X0] : ((~quiet(X0) | funny(X0)) <=> ~calm(X0)) [input p4]
14. ! [X0] : (brave(X0) => (quiet(X0) & funny(X0))) [input p13]
20. brave(susan) & rich(susan) [input p19]
25. calm(susan) [input hypothesis]
37... | 0 |
Everyone who is not humble is generous or humble and vice versa.
Everyone who is tall is both generous and strong and vice versa.
Everyone who is either not humble or not happy is both not patient and not happy and vice versa.
If someone is both calm and patient then someone is not calm and vice versa.
Everyone who is ... | John is not patient. | contradiction | (![X]:(~humble(X)<=>(generous(X)|humble(X))))&
(![X]:(tall(X)<=>(generous(X)&strong(X))))&
(![X]:((~humble(X)<~>~happy(X))<=>(~patient(X)&~happy(X))))&
((?[X]:((calm(X)&patient(X))))<=>(?[X]:(~calm(X))))&
(![X]:((calm(X)<~>funny(X))=>(~creative(X)&~humble(X))))&
(![X]:((old(X)<~>brave(X))=>(~generous(X)<~>rich(X))))&
(... | ~patient(john) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 9014131736388492254133666
% SZS output start Proof for 9014131736388492254133666
1. ! [X0] : (~humble(X0) <=> (humble(X0) | generous(X0))) [input p0]
3. ! [X0] : ((~humble(X0) <~> ~happy(X0)) <=> (~happy(X0) & ~patient(X0))) [input p2]
24. ~patient(john) [input hypothesis]
35. ! [X0] : ((... | 0 |
Everyone who is either not rich or brave is either humble or not patient and vice versa.
Everyone who is either not funny or calm is tall and vice versa.
If mary is either kind or happy then someone is kind or not patient and vice versa.
If someone is both tall and funny then john is not rich or not brave.
Everyone who... | Susan is not brave. | entailment | (![X]:((~rich(X)<~>brave(X))<=>(humble(X)<~>~patient(X))))&
(![X]:((~funny(X)<~>calm(X))<=>tall(X)))&
(((kind(mary)<~>happy(mary)))<=>(?[X]:((kind(X)|~patient(X)))))&
((?[X]:((tall(X)&funny(X))))=>((~rich(john)|~brave(john))))&
(![X]:((happy(X)<~>patient(X))<=>(happy(X)&~tall(X))))&
(![X]:(patient(X)<=>wise(X)))&
(((~s... | ~brave(susan) | [
"p10",
"p11",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 453203036806442989234427
% SZS output start Proof for 453203036806442989234427
11. ? [X0] : (~patient(X0) | ~old(X0)) <=> (~brave(susan) | strong(susan)) [input p10]
12. ! [X0] : ((creative(X0) | old(X0)) <=> (~tall(X0) & ~rich(X0))) [input p11]
21. ~strong(susan) [input p20]
22. ? [X0] :... | 0 |
Everyone who is both not curious and not strong is either not strong or rich and vice versa.
Everyone who is curious or strong is not quiet and vice versa.
Everyone who is calm is both kind and strong and vice versa.
If paul is humble or creative then someone is not rich or patient.
If someone is both not wise and not ... | Susan is wise. | neutral | (![X]:((~curious(X)&~strong(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((curious(X)|strong(X))<=>~quiet(X)))&
(![X]:(calm(X)<=>(kind(X)&strong(X))))&
(((humble(paul)|creative(paul)))=>(?[X]:((~rich(X)|patient(X)))))&
((?[X]:((~wise(X)&~creative(X))))<=>((~humble(susan)&~rich(susan))))&
((?[X]:((~wise(X)|strong(X))))=>(?[X]:... | wise(susan) | [] | null | 0 |
Everyone who is wise is either not brave or not happy.
Everyone who is not patient or humble is not humble.
If susan is both creative and not calm then someone is funny and vice versa.
Everyone who is rich is brave or not patient.
Everyone who is not humble or wise is both not curious and patient.
Everyone who is calm ... | Susan is not creative. | entailment | (![X]:(wise(X)=>(~brave(X)<~>~happy(X))))&
(![X]:((~patient(X)|humble(X))=>~humble(X)))&
(((creative(susan)&~calm(susan)))<=>(?[X]:(funny(X))))&
(![X]:(rich(X)=>(brave(X)|~patient(X))))&
(![X]:((~humble(X)|wise(X))=>(~curious(X)&patient(X))))&
(![X]:(calm(X)<=>(patient(X)<~>wise(X))))&
(![X]:((humble(X)<~>brave(X))=>(~... | ~creative(susan) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7667234870051514116897222
% SZS output start Proof for 7667234870051514116897222
2. ! [X0] : ((humble(X0) | ~patient(X0)) => ~humble(X0)) [input p1]
3. (~calm(susan) & creative(susan)) <=> ? [X0] : funny(X0) [input p2]
5. ! [X0] : ((wise(X0) | ~humble(X0)) => (patient(X0) & ~curious(X0)))... | 0 |
If someone is either funny or not calm then someone is both not rich and not funny. Everyone who is both kind and not patient is curious or not creative. Everyone who is tall is either tall or funny and vice versa. If someone is either not tall or not calm then john is not old or not generous. Everyone who is both crea... | Paul is not happy. | contradiction | ((?[X]:((funny(X)<~>~calm(X))))=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((kind(X)&~patient(X))=>(curious(X)|~creative(X))))&
(![X]:(tall(X)<=>(tall(X)<~>funny(X))))&
((?[X]:((~tall(X)<~>~calm(X))))=>((~old(john)|~generous(john))))&
(![X]:((creative(X)&~generous(X))=>(strong(X)|kind(X))))&
((calm(fred))=>((~generous(alic... | ~happy(paul) | [
"p2",
"p6",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3624991273404974083752556
% SZS output start Proof for 3624991273404974083752556
3. ! [X0] : (tall(X0) <=> (tall(X0) <~> funny(X0))) [input p2]
7. ! [X0] : (calm(X0) <=> (quiet(X0) & ~old(X0))) [input p6]
10. ! [X0] : ((~quiet(X0) & ~patient(X0)) => (~funny(X0) <~> ~patient(X0))) [input p... | 0 |
If john is either curious or not patient then susan is happy and vice versa.
If someone is strong then someone is humble or not rich and vice versa.
If someone is either strong or not curious then someone is both not kind and not funny and vice versa.
If someone is either generous or brave then susan is both not happy ... | Lucy is not calm. | entailment | (((curious(john)<~>~patient(john)))<=>(happy(susan)))&
((?[X]:(strong(X)))<=>(?[X]:((humble(X)|~rich(X)))))&
((?[X]:((strong(X)<~>~curious(X))))<=>(?[X]:((~kind(X)&~funny(X)))))&
((?[X]:((generous(X)<~>brave(X))))<=>((~happy(susan)&~strong(susan))))&
(((~rich(john)|~strong(john)))=>((brave(susan)<~>~generous(susan))))&... | ~calm(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 833995286046509788124156
% SZS output start Proof for 833995286046509788124156
15. ! [X0] : ((~calm(X0) & ~patient(X0)) <=> (~creative(X0) | calm(X0))) [input p14]
24. calm(lucy) [input hypothesis]
73. ! [X0] : (((~calm(X0) & ~patient(X0)) | (creative(X0) & ~calm(X0))) & ((~creative(X0) |... | 0 |
If lucy is either old or not happy then mary is tall.
Everyone who is quiet is either not patient or not strong and vice versa.
If someone is not wise or not humble then someone is both not kind and not quiet and vice versa.
If susan is either patient or not funny then someone is not brave and vice versa.
If someone is... | John is not wise. | contradiction | (((old(lucy)<~>~happy(lucy)))=>(tall(mary)))&
(![X]:(quiet(X)<=>(~patient(X)<~>~strong(X))))&
((?[X]:((~wise(X)|~humble(X))))<=>(?[X]:((~kind(X)&~quiet(X)))))&
(((patient(susan)<~>~funny(susan)))<=>(?[X]:(~brave(X))))&
((?[X]:((~quiet(X)|calm(X))))=>((tall(lucy)<~>~brave(lucy))))&
((?[X]:((wise(X)|~tall(X))))<=>(happy(... | ~wise(john) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8564859774170581564933391
% SZS output start Proof for 8564859774170581564933391
3. ? [X0] : (~humble(X0) | ~wise(X0)) <=> ? [X0] : (~quiet(X0) & ~kind(X0)) [input p2]
13. ! [X0] : ((old(X0) & ~old(X0)) <=> ~quiet(X0)) [input p12]
25. ~wise(john) [input hypothesis]
26. ? [X0] : (~humble(X... | 0 |
Everyone who is happy or not curious is either not generous or not kind. Everyone who is either not humble or calm is not tall or not patient. If fred is creative or patient then someone is not funny or generous. If alice is strong then someone is not calm. If someone is not happy then paul is either wise or kind. If f... | Fred is humble. | entailment | (![X]:((happy(X)|~curious(X))=>(~generous(X)<~>~kind(X))))&
(![X]:((~humble(X)<~>calm(X))=>(~tall(X)|~patient(X))))&
(((creative(fred)|patient(fred)))=>(?[X]:((~funny(X)|generous(X)))))&
((strong(alice))=>(?[X]:(~calm(X))))&
((?[X]:(~happy(X)))=>((wise(paul)<~>kind(paul))))&
(((curious(fred)&happy(fred)))<=>(funny(susa... | humble(fred) | [
"p0",
"p6",
"p7",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7744638998507505968877569
% SZS output start Proof for 7744638998507505968877569
1. ! [X0] : ((~curious(X0) | happy(X0)) => (~generous(X0) <~> ~kind(X0))) [input p0]
7. ! [X0] : ((creative(X0) | curious(X0)) => (generous(X0) & ~kind(X0))) [input p6]
8. ! [X0] : ((~kind(X0) | happy(X0)) =>... | 0 |
If someone is creative or not generous then someone is not happy or not wise and vice versa. Everyone who is generous is either funny or not happy. If someone is not patient or patient then paul is either not calm or strong. Everyone who is both not wise and humble is either humble or not creative and vice versa. Every... | John is wise. | contradiction | ((?[X]:((creative(X)|~generous(X))))<=>(?[X]:((~happy(X)|~wise(X)))))&
(![X]:(generous(X)=>(funny(X)<~>~happy(X))))&
((?[X]:((~patient(X)|patient(X))))=>((~calm(paul)<~>strong(paul))))&
(![X]:((~wise(X)&humble(X))<=>(humble(X)<~>~creative(X))))&
(![X]:(rich(X)<=>(brave(X)<~>~happy(X))))&
(![X]:(~happy(X)=>(strong(X)&qu... | wise(john) | [
"p3",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4462742946293398076752200
% SZS output start Proof for 4462742946293398076752200
4. ! [X0] : ((humble(X0) & ~wise(X0)) <=> (humble(X0) <~> ~creative(X0))) [input p3]
7. ! [X0] : ((strong(X0) & rich(X0)) <=> (strong(X0) <~> ~humble(X0))) [input p6]
16. ! [X0] : ((~creative(X0) | strong(X0)... | 0 |
Everyone who is both not old and not tall is either old or patient.
Everyone who is either happy or not rich is quiet.
If someone is both tall and curious then someone is funny and vice versa.
Everyone who is either not happy or not strong is both not brave and patient and vice versa.
If someone is not strong or not fu... | Lucy is patient. | neutral | (![X]:((~old(X)&~tall(X))=>(old(X)<~>patient(X))))&
(![X]:((happy(X)<~>~rich(X))=>quiet(X)))&
((?[X]:((tall(X)&curious(X))))<=>(?[X]:(funny(X))))&
(![X]:((~happy(X)<~>~strong(X))<=>(~brave(X)&patient(X))))&
((?[X]:((~strong(X)|~funny(X))))=>((funny(fred)<~>happy(fred))))&
(![X]:((~brave(X)&~funny(X))=>(calm(X)<~>funny(... | patient(lucy) | [] | null | 0 |
If fred is happy or not old then someone is not happy or rich. Everyone who is either not old or wise is generous or strong. If susan is rich or happy then paul is creative. Everyone who is happy is rich. If someone is not rich or happy then lucy is both not funny and not wise and vice versa. Everyone who is happy is e... | Paul is not curious. | neutral | (((happy(fred)|~old(fred)))=>(?[X]:((~happy(X)|rich(X)))))&
(![X]:((~old(X)<~>wise(X))=>(generous(X)|strong(X))))&
(((rich(susan)|happy(susan)))=>(creative(paul)))&
(![X]:(happy(X)=>rich(X)))&
((?[X]:((~rich(X)|happy(X))))<=>((~funny(lucy)&~wise(lucy))))&
(![X]:(happy(X)<=>(strong(X)<~>~old(X))))&
(((brave(paul)|creati... | ~curious(paul) | [] | null | 0 |
Everyone who is tall or old is either not wise or not creative.
Everyone who is either not brave or strong is both calm and not creative and vice versa.
Everyone who is funny is not kind and vice versa.
Everyone who is not rich or not strong is both not funny and not generous and vice versa.
If paul is calm or brave th... | John is not rich. | neutral | (![X]:((tall(X)|old(X))=>(~wise(X)<~>~creative(X))))&
(![X]:((~brave(X)<~>strong(X))<=>(calm(X)&~creative(X))))&
(![X]:(funny(X)<=>~kind(X)))&
(![X]:((~rich(X)|~strong(X))<=>(~funny(X)&~generous(X))))&
(((calm(paul)|brave(paul)))<=>((humble(john)&~happy(john))))&
(![X]:((patient(X)<~>~brave(X))=>(curious(X)<~>~kind(X))... | ~rich(john) | [] | null | 0 |
Everyone who is kind or calm is happy and vice versa. Everyone who is either not patient or brave is creative and vice versa. If someone is not generous or not wise then lucy is both quiet and not quiet and vice versa. Everyone who is either not strong or creative is either not humble or not creative and vice versa. If... | Lucy is not funny. | neutral | (![X]:((kind(X)|calm(X))<=>happy(X)))&
(![X]:((~patient(X)<~>brave(X))<=>creative(X)))&
((?[X]:((~generous(X)|~wise(X))))<=>((quiet(lucy)&~quiet(lucy))))&
(![X]:((~strong(X)<~>creative(X))<=>(~humble(X)<~>~creative(X))))&
(((funny(john)&kind(john)))<=>(?[X]:(brave(X))))&
(((~strong(lucy)|patient(lucy)))<=>((humble(paul... | ~funny(lucy) | [] | null | 0 |
If someone is not wise or curious then lucy is rich.
If someone is strong or not calm then alice is rich or generous and vice versa.
Everyone who is either not rich or happy is not tall or not kind and vice versa.
Everyone who is old or not old is both not kind and not happy.
If paul is both happy and not quiet then ma... | Susan is creative. | entailment | ((?[X]:((~wise(X)|curious(X))))=>(rich(lucy)))&
((?[X]:((strong(X)|~calm(X))))<=>((rich(alice)|generous(alice))))&
(![X]:((~rich(X)<~>happy(X))<=>(~tall(X)|~kind(X))))&
(![X]:((old(X)|~old(X))=>(~kind(X)&~happy(X))))&
(((happy(paul)&~quiet(paul)))=>((brave(mary)|wise(mary))))&
(![X]:((creative(X)&generous(X))=>curious(... | creative(susan) | [
"p0",
"p2",
"p3",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7994117264647590266552238
% SZS output start Proof for 7994117264647590266552238
1. ? [X0] : (curious(X0) | ~wise(X0)) => rich(lucy) [input p0]
3. ! [X0] : ((~rich(X0) <~> happy(X0)) <=> (~kind(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((~old(X0) | old(X0)) => (~happy(X0) & ~kind(X0))) [in... | 0 |
If someone is both patient and not brave then someone is not curious or not patient.
If someone is either not calm or happy then someone is not wise.
Everyone who is either not calm or not generous is tall.
Everyone who is either patient or not funny is both strong and tall and vice versa.
Everyone who is not quiet is ... | Paul is creative. | contradiction | ((?[X]:((patient(X)&~brave(X))))=>(?[X]:((~curious(X)|~patient(X)))))&
((?[X]:((~calm(X)<~>happy(X))))=>(?[X]:(~wise(X))))&
(![X]:((~calm(X)<~>~generous(X))=>tall(X)))&
(![X]:((patient(X)<~>~funny(X))<=>(strong(X)&tall(X))))&
(![X]:(~quiet(X)<=>(~humble(X)&~happy(X))))&
(![X]:((funny(X)|rich(X))<=>(tall(X)&funny(X))))&... | creative(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2913213427043817006663047
% SZS output start Proof for 2913213427043817006663047
11. ! [X0] : (creative(X0) <=> (humble(X0) & ~creative(X0))) [input p10]
25. creative(paul) [input hypothesis]
64. ! [X0] : ((creative(X0) | (~humble(X0) | creative(X0))) & ((humble(X0) & ~creative(X0)) | ~cr... | 0 |
If someone is both not quiet and not kind then someone is either not curious or kind. Everyone who is old is either not humble or not brave and vice versa. Everyone who is creative or not kind is either not humble or creative and vice versa. Everyone who is calm is either not tall or happy and vice versa. If someone is... | Lucy is not old. | neutral | ((?[X]:((~quiet(X)&~kind(X))))=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:(old(X)<=>(~humble(X)<~>~brave(X))))&
(![X]:((creative(X)|~kind(X))<=>(~humble(X)<~>creative(X))))&
(![X]:(calm(X)<=>(~tall(X)<~>happy(X))))&
((?[X]:((kind(X)<~>happy(X))))=>(?[X]:(funny(X))))&
(((~tall(mary)<~>~kind(mary)))=>((~strong(alice)|wise... | ~old(lucy) | [] | null | 0 |
Everyone who is creative is not tall and vice versa. Everyone who is not wise or humble is not kind. If alice is both wise and not patient then someone is not rich and vice versa. If alice is either wise or calm then lucy is both not calm and patient. Everyone who is both rich and calm is not tall and vice versa. Every... | Fred is not rich. | contradiction | (![X]:(creative(X)<=>~tall(X)))&
(![X]:((~wise(X)|humble(X))=>~kind(X)))&
(((wise(alice)&~patient(alice)))<=>(?[X]:(~rich(X))))&
(((wise(alice)<~>calm(alice)))=>((~calm(lucy)&patient(lucy))))&
(![X]:((rich(X)&calm(X))<=>~tall(X)))&
(![X]:((creative(X)<~>curious(X))=>(generous(X)<~>wise(X))))&
(![X]:((generous(X)<~>~pat... | ~rich(fred) | [
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 164785515185296776413769
% SZS output start Proof for 164785515185296776413769
9. ! [X0] : ((humble(X0) <~> rich(X0)) <=> (~quiet(X0) & quiet(X0))) [input p8]
21. humble(fred) [input p20]
24. ~rich(fred) [input hypothesis]
42. ! [X0] : ((((~rich(X0) | ~humble(X0)) & (rich(X0) | humble(X0)... | 0 |
If alice is not strong then john is calm or happy. If someone is both curious and not calm then fred is tall or funny and vice versa. Everyone who is not brave or humble is both not curious and generous and vice versa. Everyone who is kind is either not old or not funny. Everyone who is not brave or not creative is bot... | Lucy is not wise. | entailment | ((~strong(alice))=>((calm(john)|happy(john))))&
((?[X]:((curious(X)&~calm(X))))<=>((tall(fred)|funny(fred))))&
(![X]:((~brave(X)|humble(X))<=>(~curious(X)&generous(X))))&
(![X]:(kind(X)=>(~old(X)<~>~funny(X))))&
(![X]:((~brave(X)|~creative(X))=>(~quiet(X)&~funny(X))))&
(((tall(fred)|~creative(fred)))=>((~kind(lucy)&hap... | ~wise(lucy) | [
"p2",
"p4",
"p6",
"p8",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8957223788133526431776245
% SZS output start Proof for 8957223788133526431776245
3. ! [X0] : ((humble(X0) | ~brave(X0)) <=> (generous(X0) & ~curious(X0))) [input p2]
5. ! [X0] : ((~creative(X0) | ~brave(X0)) => (~funny(X0) & ~quiet(X0))) [input p4]
7. ? [X0] : (~happy(X0) <~> funny(X0)) =... | 0 |
Everyone who is not tall is either not rich or wise and vice versa.
Everyone who is generous is both strong and not old and vice versa.
If someone is either strong or happy then paul is both wise and not humble.
If mary is either rich or curious then someone is both not strong and humble.
If someone is patient or wise ... | Fred is creative. | entailment | (![X]:(~tall(X)<=>(~rich(X)<~>wise(X))))&
(![X]:(generous(X)<=>(strong(X)&~old(X))))&
((?[X]:((strong(X)<~>happy(X))))=>((wise(paul)&~humble(paul))))&
(((rich(mary)<~>curious(mary)))=>(?[X]:((~strong(X)&humble(X)))))&
((?[X]:((patient(X)|wise(X))))=>((~funny(susan)|~strong(susan))))&
((?[X]:((~happy(X)<~>~quiet(X))))<=... | creative(fred) | [
"p2",
"p6",
"p7",
"p8",
"p11",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6029541291814930907490536
% SZS output start Proof for 6029541291814930907490536
3. ? [X0] : (strong(X0) <~> happy(X0)) => (~humble(paul) & wise(paul)) [input p2]
7. ! [X0] : ((~patient(X0) | curious(X0)) <=> (kind(X0) & ~generous(X0))) [input p6]
8. ! [X0] : ((~strong(X0) & funny(X0)) <=... | 0 |
Everyone who is not humble or not funny is not strong and vice versa. Everyone who is not rich or not creative is both generous and patient and vice versa. Everyone who is either not happy or not brave is both not curious and old. Everyone who is funny is rich and vice versa. Everyone who is not happy is not wise. Ever... | Paul is not patient. | entailment | (![X]:((~humble(X)|~funny(X))<=>~strong(X)))&
(![X]:((~rich(X)|~creative(X))<=>(generous(X)&patient(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~curious(X)&old(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:(~happy(X)=>~wise(X)))&
(![X]:((~happy(X)|~quiet(X))<=>(brave(X)&~old(X))))&
((?[X]:(~tall(X)))<=>((~generous(lucy)<~>~ric... | ~patient(paul) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5111305838169937934613812
% SZS output start Proof for 5111305838169937934613812
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> ~strong(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~rich(X0)) <=> (patient(X0) & generous(X0))) [input p1]
4. ! [X0] : (funny(X0) <=> rich(X0)) [input p3]
6. ! [... | 0 |
If paul is either not happy or humble then lucy is kind and vice versa.
Everyone who is quiet or generous is humble or quiet and vice versa.
Everyone who is either rich or happy is not tall.
If john is patient then john is not old and vice versa.
Everyone who is not brave or not tall is either funny or patient and vice... | Mary is not old. | neutral | (((~happy(paul)<~>humble(paul)))<=>(kind(lucy)))&
(![X]:((quiet(X)|generous(X))<=>(humble(X)|quiet(X))))&
(![X]:((rich(X)<~>happy(X))=>~tall(X)))&
((patient(john))<=>(~old(john)))&
(![X]:((~brave(X)|~tall(X))<=>(funny(X)<~>patient(X))))&
(![X]:((calm(X)&curious(X))<=>(~wise(X)<~>~quiet(X))))&
(((~patient(fred)<~>kind(f... | ~old(mary) | [] | null | 0 |
If susan is not generous or not strong then alice is either curious or not rich and vice versa. Everyone who is either rich or patient is not calm or old. Everyone who is not old is both patient and not rich and vice versa. If alice is not quiet then susan is not creative. If someone is old or not quiet then fred is br... | Lucy is quiet. | contradiction | (((~generous(susan)|~strong(susan)))<=>((curious(alice)<~>~rich(alice))))&
(![X]:((rich(X)<~>patient(X))=>(~calm(X)|old(X))))&
(![X]:(~old(X)<=>(patient(X)&~rich(X))))&
((~quiet(alice))=>(~creative(susan)))&
((?[X]:((old(X)|~quiet(X))))<=>(brave(fred)))&
(![X]:((~old(X)&brave(X))<=>tall(X)))&
(![X]:((~rich(X)&happy(X))... | quiet(lucy) | [
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 134233404278826151848944
% SZS output start Proof for 134233404278826151848944
9. ! [X0] : ((tall(X0) <~> wise(X0)) <=> (quiet(X0) | ~tall(X0))) [input p8]
12. ! [X0] : ((strong(X0) | happy(X0)) <=> (tall(X0) <~> ~wise(X0))) [input p11]
17. happy(lucy) & ~old(lucy) [input p16]
25. quiet(l... | 0 |
If john is either happy or old then someone is both not curious and not humble and vice versa.
If susan is not humble then someone is both not tall and not brave and vice versa.
Everyone who is both not calm and not humble is happy and vice versa.
If someone is funny then paul is both not happy and not humble and vice ... | Fred is quiet. | neutral | (((happy(john)<~>old(john)))<=>(?[X]:((~curious(X)&~humble(X)))))&
((~humble(susan))<=>(?[X]:((~tall(X)&~brave(X)))))&
(![X]:((~calm(X)&~humble(X))<=>happy(X)))&
((?[X]:(funny(X)))<=>((~happy(paul)&~humble(paul))))&
((?[X]:(generous(X)))=>(?[X]:((~strong(X)<~>~calm(X)))))&
(((~kind(john)<~>tall(john)))=>(?[X]:(~curious... | quiet(fred) | [] | null | 0 |
Everyone who is both not quiet and not brave is either not tall or brave.
Everyone who is either brave or calm is both not happy and generous and vice versa.
If someone is either not calm or not patient then john is not brave or kind.
If someone is both creative and calm then someone is either wise or curious and vice ... | Mary is patient. | neutral | (![X]:((~quiet(X)&~brave(X))=>(~tall(X)<~>brave(X))))&
(![X]:((brave(X)<~>calm(X))<=>(~happy(X)&generous(X))))&
((?[X]:((~calm(X)<~>~patient(X))))=>((~brave(john)|kind(john))))&
((?[X]:((creative(X)&calm(X))))<=>(?[X]:((wise(X)<~>curious(X)))))&
(((strong(mary)|creative(mary)))<=>((happy(fred)<~>creative(fred))))&
(((f... | patient(mary) | [] | null | 0 |
Everyone who is either curious or not humble is either curious or not patient and vice versa.
Everyone who is happy or not funny is both not happy and calm.
Everyone who is both calm and not brave is quiet or not humble.
If someone is not generous or not quiet then fred is humble.
If someone is patient then mary is eit... | Fred is not generous. | contradiction | (![X]:((curious(X)<~>~humble(X))<=>(curious(X)<~>~patient(X))))&
(![X]:((happy(X)|~funny(X))=>(~happy(X)&calm(X))))&
(![X]:((calm(X)&~brave(X))=>(quiet(X)|~humble(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>(humble(fred)))&
((?[X]:(patient(X)))<=>((~quiet(mary)<~>humble(mary))))&
(![X]:((~rich(X)&~creative(X))=>curious(... | ~generous(fred) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5931393069595180144660232
% SZS output start Proof for 5931393069595180144660232
7. ! [X0] : ((~funny(X0) <~> funny(X0)) => ~curious(X0)) [input p6]
12. ! [X0] : ((~curious(X0) | quiet(X0)) <=> generous(X0)) [input p11]
23. ~generous(fred) [input hypothesis]
37. ! [X0] : (~curious(X0) | (... | 0 |
Everyone who is kind or humble is not quiet.
Everyone who is not happy or not old is both not humble and generous and vice versa.
Everyone who is either not wise or wise is both funny and not creative.
If someone is kind or not funny then someone is calm and vice versa.
If someone is not curious then susan is either cu... | Susan is old. | entailment | (![X]:((kind(X)|humble(X))=>~quiet(X)))&
(![X]:((~happy(X)|~old(X))<=>(~humble(X)&generous(X))))&
(![X]:((~wise(X)<~>wise(X))=>(funny(X)&~creative(X))))&
((?[X]:((kind(X)|~funny(X))))<=>(?[X]:(calm(X))))&
((?[X]:(~curious(X)))=>((curious(susan)<~>old(susan))))&
(![X]:(strong(X)<=>(~funny(X)&~curious(X))))&
(((~happy(ma... | old(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8780410575273072271212102
% SZS output start Proof for 8780410575273072271212102
13. ! [X0] : ((~wise(X0) <~> wise(X0)) => old(X0)) [input p12]
24. ~old(susan) [input hypothesis]
38. ! [X0] : (old(X0) | (~wise(X0) <=> wise(X0))) [ennf transformation 13]
58. ! [X0] : (old(X0) | ((~wise(X0)... | 0 |
If alice is either brave or humble then lucy is either funny or not calm and vice versa.
If someone is either old or calm then someone is either patient or not curious.
Everyone who is both not calm and not brave is happy or not brave.
Everyone who is either not funny or brave is both happy and creative.
Everyone who i... | Paul is not funny. | neutral | (((brave(alice)<~>humble(alice)))<=>((funny(lucy)<~>~calm(lucy))))&
((?[X]:((old(X)<~>calm(X))))=>(?[X]:((patient(X)<~>~curious(X)))))&
(![X]:((~calm(X)&~brave(X))=>(happy(X)|~brave(X))))&
(![X]:((~funny(X)<~>brave(X))=>(happy(X)&creative(X))))&
(![X]:(~happy(X)=>(~tall(X)&funny(X))))&
((?[X]:(~tall(X)))=>((~generous(j... | ~funny(paul) | [] | null | 0 |
Everyone who is not wise is happy or quiet and vice versa.
Everyone who is either curious or patient is both patient and not patient and vice versa.
If alice is not calm or not quiet then someone is not wise or not patient and vice versa.
Everyone who is either not old or not quiet is either not rich or not generous an... | Lucy is patient. | contradiction | (![X]:(~wise(X)<=>(happy(X)|quiet(X))))&
(![X]:((curious(X)<~>patient(X))<=>(patient(X)&~patient(X))))&
(((~calm(alice)|~quiet(alice)))<=>(?[X]:((~wise(X)|~patient(X)))))&
(![X]:((~old(X)<~>~quiet(X))<=>(~rich(X)<~>~generous(X))))&
((?[X]:((calm(X)&kind(X))))<=>((kind(paul)|~happy(paul))))&
(![X]:((funny(X)&~calm(X))=>... | patient(lucy) | [
"p0",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8758342296801461231838062
% SZS output start Proof for 8758342296801461231838062
1. ! [X0] : (~wise(X0) <=> (quiet(X0) | happy(X0))) [input p0]
11. ! [X0] : ((brave(X0) & ~humble(X0)) <=> ~wise(X0)) [input p10]
12. ! [X0] : ((quiet(X0) <~> tall(X0)) <=> (happy(X0) | ~tall(X0))) [input p11... | 0 |
Everyone who is old is strong and vice versa. Everyone who is either happy or not funny is tall or not quiet. If john is either kind or rich then someone is either not rich or kind. Everyone who is either not old or not strong is not happy or not brave and vice versa. Everyone who is either not creative or not kind is ... | Alice is calm. | entailment | (![X]:(old(X)<=>strong(X)))&
(![X]:((happy(X)<~>~funny(X))=>(tall(X)|~quiet(X))))&
(((kind(john)<~>rich(john)))=>(?[X]:((~rich(X)<~>kind(X)))))&
(![X]:((~old(X)<~>~strong(X))<=>(~happy(X)|~brave(X))))&
(![X]:((~creative(X)<~>~kind(X))<=>(generous(X)|calm(X))))&
(((rich(alice)<~>happy(alice)))<=>((happy(mary)&~wise(mary... | calm(alice) | [
"p0",
"p3",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8848809593155640071453327
% SZS output start Proof for 8848809593155640071453327
1. ! [X0] : (old(X0) <=> strong(X0)) [input p0]
4. ! [X0] : ((~old(X0) <~> ~strong(X0)) <=> (~brave(X0) | ~happy(X0))) [input p3]
7. ! [X0] : ((calm(X0) <~> strong(X0)) <=> (~old(X0) | humble(X0))) [input p6]... | 0 |
Everyone who is either not curious or kind is either not patient or creative. If someone is not rich or humble then alice is funny or brave and vice versa. If fred is either not calm or happy then someone is both not tall and funny and vice versa. If fred is either tall or not strong then someone is not funny or not br... | Fred is not happy. | entailment | (![X]:((~curious(X)<~>kind(X))=>(~patient(X)<~>creative(X))))&
((?[X]:((~rich(X)|humble(X))))<=>((funny(alice)|brave(alice))))&
(((~calm(fred)<~>happy(fred)))<=>(?[X]:((~tall(X)&funny(X)))))&
(((tall(fred)<~>~strong(fred)))<=>(?[X]:((~funny(X)|~brave(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X... | ~happy(fred) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8882396584054686587741184
% SZS output start Proof for 8882396584054686587741184
3. (~calm(fred) <~> happy(fred)) <=> ? [X0] : (funny(X0) & ~tall(X0)) [input p2]
6. ! [X0] : ((patient(X0) <~> ~calm(X0)) => (~happy(X0) & ~quiet(X0))) [input p5]
7. ! [X0] : (~old(X0) <=> generous(X0)) [inpu... | 0 |
Everyone who is both not funny and patient is not wise and vice versa. Everyone who is calm is not kind or calm. If john is not humble or wise then someone is not old. Everyone who is either not old or not brave is both not strong and wise. If someone is calm or brave then fred is both generous and quiet. If someone is... | Alice is not curious. | entailment | (![X]:((~funny(X)&patient(X))<=>~wise(X)))&
(![X]:(calm(X)=>(~kind(X)|calm(X))))&
(((~humble(john)|wise(john)))=>(?[X]:(~old(X))))&
(![X]:((~old(X)<~>~brave(X))=>(~strong(X)&wise(X))))&
((?[X]:((calm(X)|brave(X))))=>((generous(fred)&quiet(fred))))&
((?[X]:((calm(X)|~humble(X))))=>(?[X]:((~curious(X)&patient(X)))))&
(((... | ~curious(alice) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 862235924554901339241405
% SZS output start Proof for 862235924554901339241405
10. ! [X0] : ((strong(X0) & old(X0)) <=> curious(X0)) [input p9]
13. ! [X0] : ((rich(X0) | strong(X0)) <=> (~happy(X0) & ~strong(X0))) [input p12]
24. curious(alice) [input hypothesis]
53. ! [X0] : (((strong(X0... | 0 |
Everyone who is both kind and not kind is creative and vice versa.
Everyone who is either kind or not creative is creative or not creative and vice versa.
If mary is brave then mary is not calm or curious and vice versa.
Everyone who is not happy is not patient or not creative and vice versa.
Everyone who is not old or... | Paul is not kind. | entailment | (![X]:((kind(X)&~kind(X))<=>creative(X)))&
(![X]:((kind(X)<~>~creative(X))<=>(creative(X)|~creative(X))))&
((brave(mary))<=>((~calm(mary)|curious(mary))))&
(![X]:(~happy(X)<=>(~patient(X)|~creative(X))))&
(![X]:((~old(X)|funny(X))<=>(~humble(X)<~>strong(X))))&
((?[X]:(~wise(X)))=>((~funny(john)<~>~wise(john))))&
(![X]:... | ~kind(paul) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 680858522233453795752567
% SZS output start Proof for 680858522233453795752567
1. ! [X0] : ((~kind(X0) & kind(X0)) <=> creative(X0)) [input p0]
2. ! [X0] : ((kind(X0) <~> ~creative(X0)) <=> (~creative(X0) | creative(X0))) [input p1]
24. kind(paul) [input hypothesis]
36. ! [X0] : (((~kind(... | 0 |
Everyone who is either funny or not curious is either old or tall. Everyone who is not patient is happy and vice versa. If lucy is both wise and not wise then someone is not curious or rich. If someone is either not old or not curious then paul is either not happy or kind and vice versa. Everyone who is patient or stro... | Lucy is quiet. | entailment | (![X]:((funny(X)<~>~curious(X))=>(old(X)<~>tall(X))))&
(![X]:(~patient(X)<=>happy(X)))&
(((wise(lucy)&~wise(lucy)))=>(?[X]:((~curious(X)|rich(X)))))&
((?[X]:((~old(X)<~>~curious(X))))<=>((~happy(paul)<~>kind(paul))))&
(![X]:((patient(X)|strong(X))=>(~curious(X)|~humble(X))))&
(![X]:((calm(X)|~old(X))<=>~creative(X)))&
... | quiet(lucy) | [
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1094481964763162831190971
% SZS output start Proof for 1094481964763162831190971
8. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> brave(X0)) [input p7]
9. ! [X0] : (~rich(X0) => (quiet(X0) & ~funny(X0))) [input p8]
16. ! [X0] : (~rich(X0) <=> (~humble(X0) | generous(X0))) [input p15]
24. ~quie... | 0 |
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