premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not strong or not funny is curious or not creative.
If someone is wise then someone is quiet or not calm.
Everyone who is generous is not old or funny and vice versa.
If john is either kind or quiet then susan is either not wise or humble.
If someone is not brave then someone is not calm.
If someone is ... | Paul is happy. | entailment | (![X]:((~strong(X)|~funny(X))=>(curious(X)|~creative(X))))&
((?[X]:(wise(X)))=>(?[X]:((quiet(X)|~calm(X)))))&
(![X]:(generous(X)<=>(~old(X)|funny(X))))&
(((kind(john)<~>quiet(john)))=>((~wise(susan)<~>humble(susan))))&
((?[X]:(~brave(X)))=>(?[X]:(~calm(X))))&
((?[X]:((~calm(X)|~wise(X))))=>(?[X]:((~funny(X)|~patient(X)... | happy(paul) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1628561464469330627795438
% SZS output start Proof for 1628561464469330627795438
12. ! [X0] : ((calm(X0) | ~happy(X0)) <=> (~curious(X0) & ~funny(X0))) [input p11]
14. ! [X0] : ((curious(X0) <~> ~funny(X0)) => (happy(X0) & ~funny(X0))) [input p13]
23. ~happy(paul) [input hypothesis]
37. !... | 0 |
If mary is either patient or strong then someone is old or not wise and vice versa.
Everyone who is kind or not generous is humble or kind and vice versa.
If mary is not creative or not funny then paul is either not curious or not patient.
Everyone who is not humble is either patient or wise.
Everyone who is either hum... | Mary is not curious. | neutral | (((patient(mary)<~>strong(mary)))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:((kind(X)|~generous(X))<=>(humble(X)|kind(X))))&
(((~creative(mary)|~funny(mary)))=>((~curious(paul)<~>~patient(paul))))&
(![X]:(~humble(X)=>(patient(X)<~>wise(X))))&
(![X]:((humble(X)<~>generous(X))<=>(rich(X)&~rich(X))))&
((?[X]:((~quiet(X)&~creat... | ~curious(mary) | [] | null | 0 |
If mary is creative or kind then paul is rich.
Everyone who is both happy and old is either old or quiet and vice versa.
If fred is both strong and not rich then lucy is both not humble and tall and vice versa.
Everyone who is not humble or strong is both not happy and not curious and vice versa.
If paul is not old or ... | Susan is wise. | neutral | (((creative(mary)|kind(mary)))=>(rich(paul)))&
(![X]:((happy(X)&old(X))<=>(old(X)<~>quiet(X))))&
(((strong(fred)&~rich(fred)))<=>((~humble(lucy)&tall(lucy))))&
(![X]:((~humble(X)|strong(X))<=>(~happy(X)&~curious(X))))&
(((~old(paul)|funny(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|curious(X))<=>patient(X)))&
((?[X... | wise(susan) | [] | null | 0 |
If someone is either brave or happy then mary is not strong.
Everyone who is creative or not old is brave or patient and vice versa.
If someone is both not funny and happy then someone is both not creative and not humble.
If someone is either not old or not funny then alice is either not rich or not wise and vice versa... | Alice is rich. | entailment | ((?[X]:((brave(X)<~>happy(X))))=>(~strong(mary)))&
(![X]:((creative(X)|~old(X))<=>(brave(X)|patient(X))))&
((?[X]:((~funny(X)&happy(X))))=>(?[X]:((~creative(X)&~humble(X)))))&
((?[X]:((~old(X)<~>~funny(X))))<=>((~rich(alice)<~>~wise(alice))))&
(![X]:((creative(X)|calm(X))<=>brave(X)))&
((rich(susan))<=>(~funny(mary)))&... | rich(alice) | [
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7291126957604781798717835
% SZS output start Proof for 7291126957604781798717835
4. ? [X0] : (~old(X0) <~> ~funny(X0)) <=> (~rich(alice) <~> ~wise(alice)) [input p3]
5. ! [X0] : ((calm(X0) | creative(X0)) <=> brave(X0)) [input p4]
7. (~funny(paul) | ~kind(paul)) <=> ? [X0] : (~generous(X0... | 0 |
If alice is not old then john is not tall or old and vice versa.
If susan is tall then susan is either happy or not old and vice versa.
Everyone who is either happy or not humble is not happy or quiet and vice versa.
If someone is both not rich and not humble then lucy is curious.
If john is not rich or calm then someo... | Fred is strong. | neutral | ((~old(alice))<=>((~tall(john)|old(john))))&
((tall(susan))<=>((happy(susan)<~>~old(susan))))&
(![X]:((happy(X)<~>~humble(X))<=>(~happy(X)|quiet(X))))&
((?[X]:((~rich(X)&~humble(X))))=>(curious(lucy)))&
(((~rich(john)|calm(john)))=>(?[X]:(~quiet(X))))&
(![X]:((~happy(X)&~humble(X))=>(curious(X)|~generous(X))))&
(![X]:(... | strong(fred) | [] | null | 0 |
If mary is not strong then someone is wise or quiet.
Everyone who is both not happy and not tall is either tall or happy.
If someone is not patient then fred is either not creative or generous.
Everyone who is either not strong or quiet is both not humble and not happy and vice versa.
If mary is either humble or wise t... | Paul is not creative. | entailment | ((~strong(mary))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~happy(X)&~tall(X))=>(tall(X)<~>happy(X))))&
((?[X]:(~patient(X)))=>((~creative(fred)<~>generous(fred))))&
(![X]:((~strong(X)<~>quiet(X))<=>(~humble(X)&~happy(X))))&
(((humble(mary)<~>wise(mary)))<=>(?[X]:((rich(X)<~>happy(X)))))&
(((~quiet(paul)<~>strong(paul)))<... | ~creative(paul) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1809324495436794675941658
% SZS output start Proof for 1809324495436794675941658
4. ! [X0] : ((~strong(X0) <~> quiet(X0)) <=> (~happy(X0) & ~humble(X0))) [input p3]
5. (humble(mary) <~> wise(mary)) <=> ? [X0] : (rich(X0) <~> happy(X0)) [input p4]
6. (~quiet(paul) <~> strong(paul)) <=> ? [... | 0 |
Everyone who is not funny or not strong is both not wise and not happy.
If someone is either funny or strong then alice is not generous or calm.
If paul is either patient or not brave then someone is not strong.
Everyone who is calm or old is either strong or quiet and vice versa.
Everyone who is creative is both brave... | Paul is not wise. | entailment | (![X]:((~funny(X)|~strong(X))=>(~wise(X)&~happy(X))))&
((?[X]:((funny(X)<~>strong(X))))=>((~generous(alice)|calm(alice))))&
(((patient(paul)<~>~brave(paul)))=>(?[X]:(~strong(X))))&
(![X]:((calm(X)|old(X))<=>(strong(X)<~>quiet(X))))&
(![X]:(creative(X)<=>(brave(X)&~quiet(X))))&
(![X]:(~wise(X)<=>(~creative(X)<~>~tall(X)... | ~wise(paul) | [
"p0",
"p4",
"p8",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7399155150448192440835091
% SZS output start Proof for 7399155150448192440835091
1. ! [X0] : ((~strong(X0) | ~funny(X0)) => (~happy(X0) & ~wise(X0))) [input p0]
5. ! [X0] : (creative(X0) <=> (~quiet(X0) & brave(X0))) [input p4]
9. ! [X0] : ((curious(X0) & ~creative(X0)) <=> (brave(X0) <~>... | 0 |
Everyone who is both creative and not creative is either creative or humble.
If someone is either quiet or calm then mary is humble or funny and vice versa.
Everyone who is both humble and strong is generous or funny and vice versa.
Everyone who is not tall or kind is either funny or kind.
If someone is not curious the... | Susan is patient. | entailment | (![X]:((creative(X)&~creative(X))=>(creative(X)<~>humble(X))))&
((?[X]:((quiet(X)<~>calm(X))))<=>((humble(mary)|funny(mary))))&
(![X]:((humble(X)&strong(X))<=>(generous(X)|funny(X))))&
(![X]:((~tall(X)|kind(X))=>(funny(X)<~>kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
((?[X]:((kind(X)&funny(X))))... | patient(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5327643108930577181317760
% SZS output start Proof for 5327643108930577181317760
19. patient(susan) & ~tall(susan) [input p18]
25. ~patient(susan) [input hypothesis]
153. patient(susan) [cnf transformation 19]
160. ~patient(susan) [cnf transformation 25]
353. $false [subsumption resolutio... | 0 |
Everyone who is either not calm or quiet is both old and not brave.
If someone is both strong and not humble then paul is both not creative and not old and vice versa.
Everyone who is not creative or strong is either kind or not humble.
Everyone who is both humble and brave is not creative and vice versa.
Everyone who ... | Paul is not calm. | neutral | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((strong(X)&~humble(X))))<=>((~creative(paul)&~old(paul))))&
(![X]:((~creative(X)|strong(X))=>(kind(X)<~>~humble(X))))&
(![X]:((humble(X)&brave(X))<=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X)))... | ~calm(paul) | [] | null | 0 |
Everyone who is not quiet is either brave or not creative.
If alice is not patient then someone is either not rich or rich and vice versa.
If john is both funny and not wise then someone is quiet or not creative and vice versa.
If someone is either not funny or curious then paul is both strong and not curious and vice ... | John is not brave. | entailment | (![X]:(~quiet(X)=>(brave(X)<~>~creative(X))))&
((~patient(alice))<=>(?[X]:((~rich(X)<~>rich(X)))))&
(((funny(john)&~wise(john)))<=>(?[X]:((quiet(X)|~creative(X)))))&
((?[X]:((~funny(X)<~>curious(X))))<=>((strong(paul)&~curious(paul))))&
(![X]:((quiet(X)<~>humble(X))=>happy(X)))&
(![X]:((~funny(X)&curious(X))=>(~old(X)|... | ~brave(john) | [
"p3",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2518367919786185226576979
% SZS output start Proof for 2518367919786185226576979
4. ? [X0] : (~funny(X0) <~> curious(X0)) <=> (~curious(paul) & strong(paul)) [input p3]
8. ? [X0] : brave(X0) <=> (funny(susan) & curious(susan)) [input p7]
18. ~strong(paul) [input p17]
24. brave(john) [inpu... | 0 |
Everyone who is both brave and not curious is either rich or not happy.
Everyone who is wise or not generous is either not brave or not tall.
If someone is either curious or not strong then someone is either rich or not funny.
If alice is either strong or not rich then paul is not wise and vice versa.
If fred is not ri... | John is not creative. | entailment | (![X]:((brave(X)&~curious(X))=>(rich(X)<~>~happy(X))))&
(![X]:((wise(X)|~generous(X))=>(~brave(X)<~>~tall(X))))&
((?[X]:((curious(X)<~>~strong(X))))=>(?[X]:((rich(X)<~>~funny(X)))))&
(((strong(alice)<~>~rich(alice)))<=>(~wise(paul)))&
(((~rich(fred)|~strong(fred)))=>(~patient(mary)))&
(![X]:((generous(X)&strong(X))<=>(... | ~creative(john) | [
"p5",
"p8",
"p10",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4108755348954190282279435
% SZS output start Proof for 4108755348954190282279435
6. ! [X0] : ((strong(X0) & generous(X0)) <=> (rich(X0) & humble(X0))) [input p5]
9. (creative(john) | calm(john)) => (~generous(paul) & kind(paul)) [input p8]
11. ! [X0] : ((humble(X0) <~> kind(X0)) <=> (wise... | 0 |
Everyone who is either not brave or not rich is not brave and vice versa.
If someone is either not patient or not funny then lucy is either not wise or strong.
Everyone who is both not curious and not calm is either not rich or not old.
If susan is rich or patient then alice is not old or not creative and vice versa.
E... | Fred is rich. | entailment | (![X]:((~brave(X)<~>~rich(X))<=>~brave(X)))&
((?[X]:((~patient(X)<~>~funny(X))))=>((~wise(lucy)<~>strong(lucy))))&
(![X]:((~curious(X)&~calm(X))=>(~rich(X)<~>~old(X))))&
(((rich(susan)|patient(susan)))<=>((~old(alice)|~creative(alice))))&
(![X]:((~patient(X)&~strong(X))<=>(curious(X)<~>~rich(X))))&
(![X]:((kind(X)|tall... | rich(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1943871143022704582837790
% SZS output start Proof for 1943871143022704582837790
1. ! [X0] : ((~brave(X0) <~> ~rich(X0)) <=> ~brave(X0)) [input p0]
25. ~rich(fred) [input hypothesis]
39. ! [X0] : ((((rich(X0) | brave(X0)) & (~rich(X0) | ~brave(X0))) | brave(X0)) & (~brave(X0) | ((~brave(X... | 0 |
Everyone who is not humble is kind or calm and vice versa.
Everyone who is kind or not calm is both wise and funny.
Everyone who is not kind is generous.
Everyone who is either brave or happy is not old or funny and vice versa.
If lucy is either not creative or calm then susan is not creative or not generous.
Everyone ... | Mary is not tall. | entailment | (![X]:(~humble(X)<=>(kind(X)|calm(X))))&
(![X]:((kind(X)|~calm(X))=>(wise(X)&funny(X))))&
(![X]:(~kind(X)=>generous(X)))&
(![X]:((brave(X)<~>happy(X))<=>(~old(X)|funny(X))))&
(((~creative(lucy)<~>calm(lucy)))=>((~creative(susan)|~generous(susan))))&
(![X]:(wise(X)<=>~funny(X)))&
(((generous(john)|~happy(john)))<=>(~qui... | ~tall(mary) | [
"p0",
"p1",
"p2",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1547147243366329547302138
% SZS output start Proof for 1547147243366329547302138
1. ! [X0] : (~humble(X0) <=> (calm(X0) | kind(X0))) [input p0]
2. ! [X0] : ((~calm(X0) | kind(X0)) => (funny(X0) & wise(X0))) [input p1]
3. ! [X0] : (~kind(X0) => generous(X0)) [input p2]
6. ! [X0] : (wise(X0... | 0 |
Everyone who is not patient is either patient or tall. Everyone who is either creative or not funny is not old or not humble and vice versa. If fred is either old or not quiet then someone is either not strong or generous and vice versa. If someone is either not humble or funny then mary is not strong or tall and vice ... | Alice is not happy. | entailment | (![X]:(~patient(X)=>(patient(X)<~>tall(X))))&
(![X]:((creative(X)<~>~funny(X))<=>(~old(X)|~humble(X))))&
(((old(fred)<~>~quiet(fred)))<=>(?[X]:((~strong(X)<~>generous(X)))))&
((?[X]:((~humble(X)<~>funny(X))))<=>((~strong(mary)|tall(mary))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~pati... | ~happy(alice) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7380164660988008516625714
% SZS output start Proof for 7380164660988008516625714
9. ! [X0] : ((kind(X0) | curious(X0)) => (~curious(X0) & ~old(X0))) [input p8]
14. (~old(alice) & curious(alice)) <=> ? [X0] : (happy(X0) | ~strong(X0)) [input p13]
25. happy(alice) [input hypothesis]
31. ! [... | 0 |
Everyone who is both not funny and not quiet is both not patient and not tall.
If lucy is curious then someone is not old and vice versa.
Everyone who is both patient and old is either not wise or not old and vice versa.
If lucy is either not calm or funny then john is not curious or not patient.
Everyone who is both n... | Paul is not happy. | neutral | (![X]:((~funny(X)&~quiet(X))=>(~patient(X)&~tall(X))))&
((curious(lucy))<=>(?[X]:(~old(X))))&
(![X]:((patient(X)&old(X))<=>(~wise(X)<~>~old(X))))&
(((~calm(lucy)<~>funny(lucy)))=>((~curious(john)|~patient(john))))&
(![X]:((~generous(X)&quiet(X))=>(~calm(X)<~>~creative(X))))&
((?[X]:((old(X)<~>patient(X))))<=>(?[X]:((~c... | ~happy(paul) | [] | null | 0 |
Everyone who is wise or not old is not strong or generous and vice versa.
If fred is both kind and not wise then fred is either not brave or generous.
Everyone who is both not strong and tall is either brave or not quiet.
Everyone who is both creative and not wise is quiet.
Everyone who is both not quiet and calm is ei... | Susan is not humble. | contradiction | (![X]:((wise(X)|~old(X))<=>(~strong(X)|generous(X))))&
(((kind(fred)&~wise(fred)))=>((~brave(fred)<~>generous(fred))))&
(![X]:((~strong(X)&tall(X))=>(brave(X)<~>~quiet(X))))&
(![X]:((creative(X)&~wise(X))=>quiet(X)))&
(![X]:((~quiet(X)&calm(X))<=>(~humble(X)<~>generous(X))))&
((?[X]:((wise(X)<~>~wise(X))))<=>(?[X]:((ha... | ~humble(susan) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 584488916362030255539954
% SZS output start Proof for 584488916362030255539954
20. humble(susan) & funny(susan) [input p19]
25. ~humble(susan) [input hypothesis]
139. humble(susan) [cnf transformation 20]
146. ~humble(susan) [cnf transformation 25]
299. $false [subsumption resolution 146,... | 0 |
Everyone who is both creative and brave is both humble and wise and vice versa. Everyone who is strong is humble or quiet. If fred is either not generous or not humble then paul is either rich or not tall. Everyone who is both creative and not brave is not generous. If susan is not old then someone is not old and vice ... | Susan is not curious. | neutral | (![X]:((creative(X)&brave(X))<=>(humble(X)&wise(X))))&
(![X]:(strong(X)=>(humble(X)|quiet(X))))&
(((~generous(fred)<~>~humble(fred)))=>((rich(paul)<~>~tall(paul))))&
(![X]:((creative(X)&~brave(X))=>~generous(X)))&
((~old(susan))<=>(?[X]:(~old(X))))&
(![X]:((~funny(X)<~>~creative(X))<=>~humble(X)))&
((?[X]:((~strong(X)<... | ~curious(susan) | [] | null | 0 |
If mary is either not old or not kind then someone is either old or quiet and vice versa. Everyone who is both not humble and not patient is both not happy and old. Everyone who is not humble or old is strong or generous and vice versa. If susan is both not strong and not kind then someone is happy and vice versa. Ever... | John is not humble. | entailment | (((~old(mary)<~>~kind(mary)))<=>(?[X]:((old(X)<~>quiet(X)))))&
(![X]:((~humble(X)&~patient(X))=>(~happy(X)&old(X))))&
(![X]:((~humble(X)|old(X))<=>(strong(X)|generous(X))))&
(((~strong(susan)&~kind(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~humble(X)<~>wise(X))=>(kind(X)<~>patient(X))))&
(![X]:((~creative(X)|curious(X))=>... | ~humble(john) | [
"p2",
"p6",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7602369314424434031154136
% SZS output start Proof for 7602369314424434031154136
3. ! [X0] : ((old(X0) | ~humble(X0)) <=> (generous(X0) | strong(X0))) [input p2]
7. ? [X0] : ~strong(X0) <=> (~creative(mary) & calm(mary)) [input p6]
16. ! [X0] : ((~calm(X0) & curious(X0)) <=> calm(X0)) [in... | 0 |
Everyone who is not happy is either rich or not curious and vice versa.
Everyone who is either brave or funny is not kind.
Everyone who is not funny or generous is both not happy and happy and vice versa.
Everyone who is quiet or wise is rich or not curious and vice versa.
Everyone who is quiet is either quiet or happy... | Fred is not wise. | neutral | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>funny(X))=>~kind(X)))&
(![X]:((~funny(X)|generous(X))<=>(~happy(X)&happy(X))))&
(![X]:((quiet(X)|wise(X))<=>(rich(X)|~curious(X))))&
(![X]:(quiet(X)<=>(quiet(X)<~>happy(X))))&
(![X]:((~wise(X)<~>~strong(X))=>(rich(X)<~>~patient(X))))&
(![X]:(generous(X)<=... | ~wise(fred) | [] | null | 0 |
If mary is either strong or not old then someone is both not old and brave and vice versa.
Everyone who is both not wise and happy is both not funny and not generous.
If someone is either humble or brave then someone is either not kind or quiet.
If someone is not kind then fred is both not brave and funny and vice vers... | John is brave. | entailment | (((strong(mary)<~>~old(mary)))<=>(?[X]:((~old(X)&brave(X)))))&
(![X]:((~wise(X)&happy(X))=>(~funny(X)&~generous(X))))&
((?[X]:((humble(X)<~>brave(X))))=>(?[X]:((~kind(X)<~>quiet(X)))))&
((?[X]:(~kind(X)))<=>((~brave(fred)&funny(fred))))&
(![X]:((~creative(X)&funny(X))<=>(wise(X)|~old(X))))&
((?[X]:((quiet(X)|~humble(X)... | brave(john) | [
"p3",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7753358091153598428840215
% SZS output start Proof for 7753358091153598428840215
4. ? [X0] : ~kind(X0) <=> (funny(fred) & ~brave(fred)) [input p3]
11. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (~rich(X0) & ~funny(X0))) [input p10]
12. ! [X0] : ((funny(X0) | ~generous(X0)) <=> (~wise(X0) & ~fu... | 0 |
Everyone who is both creative and curious is not funny or not tall and vice versa. If john is either not quiet or calm then someone is creative and vice versa. Everyone who is both not calm and not kind is not wise or generous and vice versa. If someone is not kind or not strong then paul is generous. Everyone who is e... | John is quiet. | contradiction | (![X]:((creative(X)&curious(X))<=>(~funny(X)|~tall(X))))&
(((~quiet(john)<~>calm(john)))<=>(?[X]:(creative(X))))&
(![X]:((~calm(X)&~kind(X))<=>(~wise(X)|generous(X))))&
((?[X]:((~kind(X)|~strong(X))))=>(generous(paul)))&
(![X]:((~old(X)<~>old(X))<=>generous(X)))&
(![X]:((calm(X)|~strong(X))<=>creative(X)))&
(((~kind(al... | quiet(john) | [
"p0",
"p1",
"p2",
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3297812662956241979445878
% SZS output start Proof for 3297812662956241979445878
1. ! [X0] : ((curious(X0) & creative(X0)) <=> (~tall(X0) | ~funny(X0))) [input p0]
2. (~quiet(john) <~> calm(john)) <=> ? [X0] : creative(X0) [input p1]
3. ! [X0] : ((~kind(X0) & ~calm(X0)) <=> (generous(X0) ... | 0 |
If john is either not strong or funny then someone is not humble.
Everyone who is both old and tall is both old and not curious.
If fred is creative or generous then alice is not happy.
If someone is either humble or not brave then mary is both brave and patient.
Everyone who is quiet is not happy.
If paul is old then ... | John is not quiet. | entailment | (((~strong(john)<~>funny(john)))=>(?[X]:(~humble(X))))&
(![X]:((old(X)&tall(X))=>(old(X)&~curious(X))))&
(((creative(fred)|generous(fred)))=>(~happy(alice)))&
((?[X]:((humble(X)<~>~brave(X))))=>((brave(mary)&patient(mary))))&
(![X]:(quiet(X)=>~happy(X)))&
((old(paul))<=>((rich(susan)|kind(susan))))&
(![X]:((~brave(X)&~... | ~quiet(john) | [
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6857626450531476566892894
% SZS output start Proof for 6857626450531476566892894
5. ! [X0] : (quiet(X0) => ~happy(X0)) [input p4]
20. happy(john) [input p19]
25. quiet(john) [input hypothesis]
33. ! [X0] : (~happy(X0) | ~quiet(X0)) [ennf transformation 5]
82. ~quiet(X0) | ~happy(X0) [cnf ... | 0 |
If someone is either not patient or not generous then fred is happy and vice versa.
Everyone who is not patient is either not strong or funny.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or not tall.
Everyone who is brave is either not generous or humble and... | Lucy is not patient. | neutral | ((?[X]:((~patient(X)<~>~generous(X))))<=>(happy(fred)))&
(![X]:(~patient(X)=>(~strong(X)<~>funny(X))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generous(X)|~strong(X))))&
(![X]... | ~patient(lucy) | [] | null | 0 |
Everyone who is both not patient and not brave is either not humble or calm and vice versa.
Everyone who is rich or creative is humble and vice versa.
If susan is both not brave and patient then mary is not humble or not calm.
If someone is both not quiet and old then someone is not quiet and vice versa.
Everyone who i... | Mary is creative. | neutral | (![X]:((~patient(X)&~brave(X))<=>(~humble(X)<~>calm(X))))&
(![X]:((rich(X)|creative(X))<=>humble(X)))&
(((~brave(susan)&patient(susan)))=>((~humble(mary)|~calm(mary))))&
((?[X]:((~quiet(X)&old(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(brave(X)=>~funny(X)))&
(((happy(lucy)&~tall(lucy)))=>(?[X]:((~humble(X)&~patient(X)))))&
(!... | creative(mary) | [] | null | 0 |
If someone is both quiet and not old then someone is not strong.
If alice is not generous or humble then someone is both tall and not quiet and vice versa.
Everyone who is both not funny and not quiet is not kind or not tall.
Everyone who is both not funny and strong is either old or funny.
If someone is both not gener... | Alice is not generous. | neutral | ((?[X]:((quiet(X)&~old(X))))=>(?[X]:(~strong(X))))&
(((~generous(alice)|humble(alice)))<=>(?[X]:((tall(X)&~quiet(X)))))&
(![X]:((~funny(X)&~quiet(X))=>(~kind(X)|~tall(X))))&
(![X]:((~funny(X)&strong(X))=>(old(X)<~>funny(X))))&
((?[X]:((~generous(X)&happy(X))))<=>((~humble(fred)<~>~happy(fred))))&
(![X]:((~strong(X)&pat... | ~generous(alice) | [] | null | 0 |
If lucy is not tall or curious then fred is both wise and patient and vice versa.
If alice is not funny then someone is both not happy and funny.
Everyone who is not funny is not tall.
If susan is not funny or tall then paul is not humble or strong and vice versa.
Everyone who is either not humble or not funny is not t... | Alice is not wise. | contradiction | (((~tall(lucy)|curious(lucy)))<=>((wise(fred)&patient(fred))))&
((~funny(alice))=>(?[X]:((~happy(X)&funny(X)))))&
(![X]:(~funny(X)=>~tall(X)))&
(((~funny(susan)|tall(susan)))<=>((~humble(paul)|strong(paul))))&
(![X]:((~humble(X)<~>~funny(X))<=>~tall(X)))&
(![X]:(~kind(X)=>(~strong(X)<~>wise(X))))&
((?[X]:((wise(X)|funn... | ~wise(alice) | [
"p2",
"p4",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7351680226842150820663327
% SZS output start Proof for 7351680226842150820663327
3. ! [X0] : (~funny(X0) => ~tall(X0)) [input p2]
5. ! [X0] : ((~humble(X0) <~> ~funny(X0)) <=> ~tall(X0)) [input p4]
13. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => (tall(X0) & ~calm(X0))) [input p12]
15. ! [X0] ... | 0 |
Everyone who is either wise or quiet is either not curious or not kind and vice versa.
Everyone who is either curious or old is rich and vice versa.
If susan is either not funny or not patient then someone is not generous.
If paul is both not creative and wise then fred is not calm.
If someone is creative then fred is ... | Fred is not creative. | neutral | (![X]:((wise(X)<~>quiet(X))<=>(~curious(X)<~>~kind(X))))&
(![X]:((curious(X)<~>old(X))<=>rich(X)))&
(((~funny(susan)<~>~patient(susan)))=>(?[X]:(~generous(X))))&
(((~creative(paul)&wise(paul)))=>(~calm(fred)))&
((?[X]:(creative(X)))<=>((generous(fred)<~>~creative(fred))))&
(![X]:(~old(X)=>(kind(X)&patient(X))))&
(![X]:... | ~creative(fred) | [] | null | 0 |
Everyone who is humble is strong or quiet and vice versa. Everyone who is not funny or calm is brave or patient. If paul is both quiet and tall then fred is either not kind or not curious. Everyone who is not calm or not quiet is both not kind and not generous. If someone is both not funny and curious then someone is c... | Susan is curious. | contradiction | (![X]:(humble(X)<=>(strong(X)|quiet(X))))&
(![X]:((~funny(X)|calm(X))=>(brave(X)|patient(X))))&
(((quiet(paul)&tall(paul)))=>((~kind(fred)<~>~curious(fred))))&
(![X]:((~calm(X)|~quiet(X))=>(~kind(X)&~generous(X))))&
((?[X]:((~funny(X)&curious(X))))<=>(?[X]:(creative(X))))&
(((humble(lucy)<~>strong(lucy)))<=>((~curious(... | curious(susan) | [
"p0",
"p3",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8582459689823121216663172
% SZS output start Proof for 8582459689823121216663172
1. ! [X0] : (humble(X0) <=> (quiet(X0) | strong(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | ~calm(X0)) => (~generous(X0) & ~kind(X0))) [input p3]
11. ! [X0] : ((~humble(X0) | ~kind(X0)) => (patient(X0) <~> br... | 0 |
If john is not happy then paul is not generous or kind.
If someone is quiet then john is not humble or not tall.
Everyone who is not rich or rich is either not old or not happy.
If lucy is brave or quiet then lucy is either not kind or not old and vice versa.
Everyone who is not patient is curious or not wise and vice ... | Fred is generous. | neutral | ((~happy(john))=>((~generous(paul)|kind(paul))))&
((?[X]:(quiet(X)))=>((~humble(john)|~tall(john))))&
(![X]:((~rich(X)|rich(X))=>(~old(X)<~>~happy(X))))&
(((brave(lucy)|quiet(lucy)))<=>((~kind(lucy)<~>~old(lucy))))&
(![X]:(~patient(X)<=>(curious(X)|~wise(X))))&
(![X]:((curious(X)<~>generous(X))<=>generous(X)))&
((?[X]:... | generous(fred) | [] | null | 0 |
Everyone who is both not funny and calm is both humble and not humble and vice versa. Everyone who is either not brave or kind is both not wise and not strong and vice versa. If john is not wise or not quiet then someone is wise and vice versa. If someone is both not wise and generous then lucy is old. If john is eithe... | John is funny. | contradiction | (![X]:((~funny(X)&calm(X))<=>(humble(X)&~humble(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(~wise(X)&~strong(X))))&
(((~wise(john)|~quiet(john)))<=>(?[X]:(wise(X))))&
((?[X]:((~wise(X)&generous(X))))=>(old(lucy)))&
(((~old(john)<~>strong(john)))=>((wise(lucy)&calm(lucy))))&
((?[X]:((~tall(X)|tall(X))))<=>(?[X]:((happy(X)|hu... | funny(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6716244545220802856828710
% SZS output start Proof for 6716244545220802856828710
9. ! [X0] : ((~rich(X0) & funny(X0)) <=> (~funny(X0) <~> rich(X0))) [input p8]
24. funny(john) [input hypothesis]
55. ! [X0] : (((~rich(X0) & funny(X0)) | ((~funny(X0) | ~rich(X0)) & (rich(X0) | funny(X0)))) ... | 0 |
If someone is both not old and calm then someone is generous. If susan is not brave then lucy is both not wise and not kind and vice versa. If susan is both not rich and not calm then someone is both not calm and quiet. If someone is kind or not patient then john is not curious or not tall and vice versa. Everyone who ... | Fred is old. | entailment | ((?[X]:((~old(X)&calm(X))))=>(?[X]:(generous(X))))&
((~brave(susan))<=>((~wise(lucy)&~kind(lucy))))&
(((~rich(susan)&~calm(susan)))=>(?[X]:((~calm(X)&quiet(X)))))&
((?[X]:((kind(X)|~patient(X))))<=>((~curious(john)|~tall(john))))&
(![X]:((quiet(X)&~creative(X))<=>(~rich(X)&~wise(X))))&
(![X]:(~generous(X)<=>(~generous(... | old(fred) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 864618019120292801286580
% SZS output start Proof for 864618019120292801286580
10. ! [X0] : ((~old(X0) | ~humble(X0)) => (~tall(X0) & generous(X0))) [input p9]
16. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> ~generous(X0)) [input p15]
23. ~old(fred) [input hypothesis]
33. ! [X0] : ((~tall(... | 0 |
If someone is not brave then someone is not creative or not strong and vice versa.
Everyone who is rich or not calm is both not humble and not curious.
If susan is wise then someone is not tall.
If john is either not quiet or creative then someone is strong and vice versa.
Everyone who is either not generous or not wis... | Mary is brave. | neutral | ((?[X]:(~brave(X)))<=>(?[X]:((~creative(X)|~strong(X)))))&
(![X]:((rich(X)|~calm(X))=>(~humble(X)&~curious(X))))&
((wise(susan))=>(?[X]:(~tall(X))))&
(((~quiet(john)<~>creative(john)))<=>(?[X]:(strong(X))))&
(![X]:((~generous(X)<~>~wise(X))<=>patient(X)))&
(![X]:(~happy(X)<=>(patient(X)<~>~strong(X))))&
((?[X]:((~old(X... | brave(mary) | [] | null | 0 |
If someone is not happy or not quiet then someone is calm or not calm.
Everyone who is not humble is not wise and vice versa.
Everyone who is either creative or not kind is either curious or wise.
If someone is either not rich or not wise then lucy is patient or not humble and vice versa.
If mary is brave then john is ... | Fred is not old. | contradiction | ((?[X]:((~happy(X)|~quiet(X))))=>(?[X]:((calm(X)|~calm(X)))))&
(![X]:(~humble(X)<=>~wise(X)))&
(![X]:((creative(X)<~>~kind(X))=>(curious(X)<~>wise(X))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>((patient(lucy)|~humble(lucy))))&
((brave(mary))=>((~kind(john)&~brave(john))))&
(![X]:((~tall(X)&~brave(X))<=>(~creative(X)|rich(X)... | ~old(fred) | [
"p6",
"p7",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1157327748981693196576152
% SZS output start Proof for 1157327748981693196576152
7. ! [X0] : (~wise(X0) <=> ~patient(X0)) [input p6]
8. ! [X0] : (~old(X0) => (patient(X0) & ~funny(X0))) [input p7]
11. ! [X0] : ((~wise(X0) & funny(X0)) <=> (brave(X0) | tall(X0))) [input p10]
22. ~wise(fred... | 0 |
If someone is not kind then someone is not old or not rich and vice versa. If someone is not quiet then someone is either not quiet or rich. If someone is not kind or tall then someone is not calm or patient. Everyone who is not funny or calm is either happy or strong and vice versa. Everyone who is creative or not old... | Fred is not rich. | entailment | ((?[X]:(~kind(X)))<=>(?[X]:((~old(X)|~rich(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((~quiet(X)<~>rich(X)))))&
((?[X]:((~kind(X)|tall(X))))=>(?[X]:((~calm(X)|patient(X)))))&
(![X]:((~funny(X)|calm(X))<=>(happy(X)<~>strong(X))))&
(![X]:((creative(X)|~old(X))<=>(~brave(X)<~>~calm(X))))&
(![X]:(~tall(X)<=>(~funny(X)|~curious(X)... | ~rich(fred) | [
"p3",
"p6",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 234161443387594349386129
% SZS output start Proof for 234161443387594349386129
4. ! [X0] : ((calm(X0) | ~funny(X0)) <=> (happy(X0) <~> strong(X0))) [input p3]
7. ! [X0] : ((humble(X0) | happy(X0)) => (calm(X0) & ~calm(X0))) [input p6]
16. ! [X0] : ((happy(X0) | ~rich(X0)) <=> (~funny(X0) ... | 0 |
Everyone who is either not strong or not patient is either not old or happy and vice versa.
If someone is both not happy and generous then john is either not kind or not quiet.
If someone is both not kind and curious then someone is creative or not quiet and vice versa.
Everyone who is both calm and funny is generous o... | Susan is calm. | entailment | (![X]:((~strong(X)<~>~patient(X))<=>(~old(X)<~>happy(X))))&
((?[X]:((~happy(X)&generous(X))))=>((~kind(john)<~>~quiet(john))))&
((?[X]:((~kind(X)&curious(X))))<=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:((calm(X)&funny(X))<=>(generous(X)|~brave(X))))&
(((~wise(alice)|kind(alice)))=>((~rich(lucy)&kind(lucy))))&
((?[X]:(... | calm(susan) | [
"p3",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2636727787783608770934797
% SZS output start Proof for 2636727787783608770934797
4. ! [X0] : ((funny(X0) & calm(X0)) <=> (~brave(X0) | generous(X0))) [input p3]
9. ? [X0] : (quiet(X0) | funny(X0)) => ~brave(susan) [input p8]
20. ? [X0] : (quiet(X0) & kind(X0)) [input p19]
25. ~calm(susan)... | 0 |
If someone is both curious and kind then someone is tall or calm. Everyone who is old or tall is humble. Everyone who is either generous or not happy is curious or rich. Everyone who is both patient and not generous is not quiet and vice versa. Everyone who is not strong is not generous and vice versa. Everyone who is ... | Fred is not strong. | entailment | ((?[X]:((curious(X)&kind(X))))=>(?[X]:((tall(X)|calm(X)))))&
(![X]:((old(X)|tall(X))=>humble(X)))&
(![X]:((generous(X)<~>~happy(X))=>(curious(X)|rich(X))))&
(![X]:((patient(X)&~generous(X))<=>~quiet(X)))&
(![X]:(~strong(X)<=>~generous(X)))&
(![X]:(~humble(X)<=>(happy(X)<~>creative(X))))&
(((~kind(susan)|~rich(susan)))<... | ~strong(fred) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6172890326787383723669498
% SZS output start Proof for 6172890326787383723669498
4. ! [X0] : ((~generous(X0) & patient(X0)) <=> ~quiet(X0)) [input p3]
5. ! [X0] : (~strong(X0) <=> ~generous(X0)) [input p4]
10. ! [X0] : ((~creative(X0) <~> ~quiet(X0)) <=> (strong(X0) & creative(X0))) [inpu... | 0 |
If alice is either not rich or tall then someone is both funny and creative and vice versa. Everyone who is both not funny and not wise is either not funny or creative and vice versa. If paul is either not calm or tall then fred is both creative and quiet. If lucy is either humble or not curious then susan is either no... | Lucy is funny. | neutral | (((~rich(alice)<~>tall(alice)))<=>(?[X]:((funny(X)&creative(X)))))&
(![X]:((~funny(X)&~wise(X))<=>(~funny(X)<~>creative(X))))&
(((~calm(paul)<~>tall(paul)))=>((creative(fred)&quiet(fred))))&
(((humble(lucy)<~>~curious(lucy)))<=>((~brave(susan)<~>rich(susan))))&
(![X]:((~patient(X)&old(X))=>(tall(X)&humble(X))))&
(![X]:... | funny(lucy) | [] | null | 0 |
Everyone who is both patient and not happy is either not generous or brave. If someone is curious then someone is both brave and generous and vice versa. If paul is funny then someone is either not humble or calm. If someone is both rich and wise then john is old and vice versa. Everyone who is not old is not wise or n... | Susan is wise. | entailment | (![X]:((patient(X)&~happy(X))=>(~generous(X)<~>brave(X))))&
((?[X]:(curious(X)))<=>(?[X]:((brave(X)&generous(X)))))&
((funny(paul))=>(?[X]:((~humble(X)<~>calm(X)))))&
((?[X]:((rich(X)&wise(X))))<=>(old(john)))&
(![X]:(~old(X)<=>(~wise(X)|~funny(X))))&
(![X]:((~wise(X)|strong(X))=>brave(X)))&
((?[X]:((~wise(X)&rich(X)))... | wise(susan) | [
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1759518463409780290610337
% SZS output start Proof for 1759518463409780290610337
6. ! [X0] : ((strong(X0) | ~wise(X0)) => brave(X0)) [input p5]
18. ~brave(susan) & funny(susan) [input p17]
24. ~wise(susan) [input hypothesis]
30. ! [X0] : (brave(X0) | (~strong(X0) & wise(X0))) [ennf transf... | 0 |
Everyone who is both quiet and tall is not curious.
If someone is creative then someone is wise.
Everyone who is either funny or not patient is quiet or creative.
Everyone who is not quiet is not tall and vice versa.
If someone is both quiet and not curious then someone is both creative and curious.
Everyone who is bot... | Paul is not happy. | entailment | (![X]:((quiet(X)&tall(X))=>~curious(X)))&
((?[X]:(creative(X)))=>(?[X]:(wise(X))))&
(![X]:((funny(X)<~>~patient(X))=>(quiet(X)|creative(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((quiet(X)&~curious(X))))=>(?[X]:((creative(X)&curious(X)))))&
(![X]:((~funny(X)&creative(X))<=>~curious(X)))&
((?[X]:((~strong(X)&~old(X))... | ~happy(paul) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6879673074095628893208879
% SZS output start Proof for 6879673074095628893208879
1. ! [X0] : ((tall(X0) & quiet(X0)) => ~curious(X0)) [input p0]
3. ! [X0] : ((funny(X0) <~> ~patient(X0)) => (creative(X0) | quiet(X0))) [input p2]
4. ! [X0] : (~quiet(X0) <=> ~tall(X0)) [input p3]
6. ! [X0] ... | 0 |
If alice is not funny or not curious then someone is both generous and not kind.
Everyone who is kind or rich is not strong or not rich and vice versa.
If someone is not kind then someone is both rich and funny.
Everyone who is either not kind or not wise is not tall.
Everyone who is both creative and rich is not humbl... | Fred is humble. | entailment | (((~funny(alice)|~curious(alice)))=>(?[X]:((generous(X)&~kind(X)))))&
(![X]:((kind(X)|rich(X))<=>(~strong(X)|~rich(X))))&
((?[X]:(~kind(X)))=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((~kind(X)<~>~wise(X))=>~tall(X)))&
(![X]:((creative(X)&rich(X))<=>~humble(X)))&
(![X]:((quiet(X)|~kind(X))<=>(~patient(X)|happy(X))))&
((calm... | humble(fred) | [
"p1",
"p4",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 955116495816845934181547
% SZS output start Proof for 955116495816845934181547
2. ! [X0] : ((rich(X0) | kind(X0)) <=> (~rich(X0) | ~strong(X0))) [input p1]
5. ! [X0] : ((rich(X0) & creative(X0)) <=> ~humble(X0)) [input p4]
8. ! [X0] : ((old(X0) <~> ~humble(X0)) <=> (~happy(X0) | rich(X0))... | 0 |
Everyone who is both old and tall is both creative and not strong and vice versa. Everyone who is not creative is funny. Everyone who is kind is not curious. If susan is old then someone is both brave and old. Everyone who is brave or kind is either not kind or quiet. Everyone who is both not quiet and not happy is cre... | Paul is not tall. | entailment | (![X]:((old(X)&tall(X))<=>(creative(X)&~strong(X))))&
(![X]:(~creative(X)=>funny(X)))&
(![X]:(kind(X)=>~curious(X)))&
((old(susan))=>(?[X]:((brave(X)&old(X)))))&
(![X]:((brave(X)|kind(X))=>(~kind(X)<~>quiet(X))))&
(![X]:((~quiet(X)&~happy(X))=>(creative(X)|~brave(X))))&
(![X]:((~tall(X)<~>calm(X))<=>(~happy(X)&~rich(X)... | ~tall(paul) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 911330109886277952179222
% SZS output start Proof for 911330109886277952179222
7. ! [X0] : ((~tall(X0) <~> calm(X0)) <=> (~rich(X0) & ~happy(X0))) [input p6]
24. rich(paul) & calm(paul) [input p23]
25. tall(paul) [input hypothesis]
45. ! [X0] : ((((~calm(X0) | tall(X0)) & (calm(X0) | ~tal... | 0 |
If paul is quiet then susan is either old or wise and vice versa.
Everyone who is both not old and not strong is both patient and not quiet and vice versa.
If someone is either not calm or brave then someone is curious.
Everyone who is both calm and patient is both not generous and old.
Everyone who is either creative ... | Paul is not kind. | contradiction | ((quiet(paul))<=>((old(susan)<~>wise(susan))))&
(![X]:((~old(X)&~strong(X))<=>(patient(X)&~quiet(X))))&
((?[X]:((~calm(X)<~>brave(X))))=>(?[X]:(curious(X))))&
(![X]:((calm(X)&patient(X))=>(~generous(X)&old(X))))&
(![X]:((creative(X)<~>humble(X))<=>(~kind(X)|~tall(X))))&
(((~strong(lucy)&~kind(lucy)))<=>((~patient(fred)... | ~kind(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6615323144111807587244494
% SZS output start Proof for 6615323144111807587244494
13. ! [X0] : ((kind(X0) & ~creative(X0)) <=> ~kind(X0)) [input p12]
25. ~kind(paul) [input hypothesis]
60. ! [X0] : (((kind(X0) & ~creative(X0)) | kind(X0)) & (~kind(X0) | (~kind(X0) | creative(X0)))) [nnf tr... | 0 |
Everyone who is both funny and patient is not patient or calm and vice versa. If alice is not quiet or curious then someone is both patient and humble and vice versa. Everyone who is wise or not strong is not kind or not old and vice versa. Everyone who is either not creative or not calm is not calm. Everyone who is ri... | Paul is quiet. | neutral | (![X]:((funny(X)&patient(X))<=>(~patient(X)|calm(X))))&
(((~quiet(alice)|curious(alice)))<=>(?[X]:((patient(X)&humble(X)))))&
(![X]:((wise(X)|~strong(X))<=>(~kind(X)|~old(X))))&
(![X]:((~creative(X)<~>~calm(X))=>~calm(X)))&
(![X]:(rich(X)<=>(~wise(X)|happy(X))))&
(![X]:((~strong(X)<~>~wise(X))<=>(~tall(X)&~curious(X)))... | quiet(paul) | [] | null | 0 |
Everyone who is either not patient or humble is generous.
Everyone who is not quiet or strong is either wise or not rich.
Everyone who is happy or old is strong and vice versa.
If someone is not rich or not creative then alice is quiet or not strong.
Everyone who is both not strong and not wise is both not tall and pat... | Alice is not wise. | contradiction | (![X]:((~patient(X)<~>humble(X))=>generous(X)))&
(![X]:((~quiet(X)|strong(X))=>(wise(X)<~>~rich(X))))&
(![X]:((happy(X)|old(X))<=>strong(X)))&
((?[X]:((~rich(X)|~creative(X))))=>((quiet(alice)|~strong(alice))))&
(![X]:((~strong(X)&~wise(X))<=>(~tall(X)&patient(X))))&
(((rich(mary)|~humble(mary)))=>((calm(mary)<~>wise(m... | ~wise(alice) | [
"p1",
"p2",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3400050558238494904362877
% SZS output start Proof for 3400050558238494904362877
2. ! [X0] : ((strong(X0) | ~quiet(X0)) => (wise(X0) <~> ~rich(X0))) [input p1]
3. ! [X0] : ((old(X0) | happy(X0)) <=> strong(X0)) [input p2]
10. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> ~creative(X0)) [inpu... | 0 |
If someone is patient or not quiet then someone is wise and vice versa. Everyone who is kind or not strong is either generous or not kind. Everyone who is not quiet or not rich is both not happy and not patient. Everyone who is not old or not wise is either rich or not tall and vice versa. If someone is both brave and ... | John is brave. | contradiction | ((?[X]:((patient(X)|~quiet(X))))<=>(?[X]:(wise(X))))&
(![X]:((kind(X)|~strong(X))=>(generous(X)<~>~kind(X))))&
(![X]:((~quiet(X)|~rich(X))=>(~happy(X)&~patient(X))))&
(![X]:((~old(X)|~wise(X))<=>(rich(X)<~>~tall(X))))&
((?[X]:((brave(X)&tall(X))))<=>(?[X]:((~wise(X)&~creative(X)))))&
(![X]:(curious(X)<=>~happy(X)))&
(!... | brave(john) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 434280802924458274340775
% SZS output start Proof for 434280802924458274340775
2. ! [X0] : ((~strong(X0) | kind(X0)) => (generous(X0) <~> ~kind(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | ~quiet(X0)) => (~patient(X0) & ~happy(X0))) [input p2]
4. ! [X0] : ((~wise(X0) | ~old(X0)) <=> (rich(X... | 0 |
If someone is either patient or not brave then alice is not patient. If someone is both not generous and not kind then someone is old or happy and vice versa. If someone is either not happy or calm then fred is both rich and not brave. Everyone who is generous is not tall or humble and vice versa. If mary is happy then... | Mary is not curious. | entailment | ((?[X]:((patient(X)<~>~brave(X))))=>(~patient(alice)))&
((?[X]:((~generous(X)&~kind(X))))<=>(?[X]:((old(X)|happy(X)))))&
((?[X]:((~happy(X)<~>calm(X))))=>((rich(fred)&~brave(fred))))&
(![X]:(generous(X)<=>(~tall(X)|humble(X))))&
((happy(mary))<=>(?[X]:((~rich(X)&brave(X)))))&
(![X]:((~humble(X)&wise(X))<=>(creative(X)&... | ~curious(mary) | [
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 618754280561822776386290
% SZS output start Proof for 618754280561822776386290
10. ! [X0] : ((old(X0) | ~tall(X0)) <=> ~curious(X0)) [input p9]
24. calm(mary) & ~tall(mary) [input p23]
25. curious(mary) [input hypothesis]
60. ! [X0] : (((old(X0) | ~tall(X0)) | curious(X0)) & (~curious(X0)... | 0 |
Everyone who is brave is either not wise or not kind and vice versa.
Everyone who is either not wise or not curious is both kind and strong and vice versa.
Everyone who is calm is both wise and brave.
If someone is not wise or not funny then john is either not brave or funny and vice versa.
If susan is either not gener... | Alice is not quiet. | contradiction | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(kind(X)&strong(X))))&
(![X]:(calm(X)=>(wise(X)&brave(X))))&
((?[X]:((~wise(X)|~funny(X))))<=>((~brave(john)<~>funny(john))))&
(((~generous(susan)<~>strong(susan)))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((~curious(X)|brave(X))))=>((~hap... | ~quiet(alice) | [
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8110791923236447625393639
% SZS output start Proof for 8110791923236447625393639
13. ! [X0] : (~quiet(X0) <=> (funny(X0) & creative(X0))) [input p12]
22. ~creative(alice) [input p21]
23. ~quiet(alice) [input hypothesis]
61. ! [X0] : ((~quiet(X0) | (~funny(X0) | ~creative(X0))) & ((funny(X... | 0 |
Everyone who is either not curious or not calm is either not funny or tall and vice versa.
Everyone who is happy is either not creative or generous and vice versa.
Everyone who is both not creative and not generous is curious.
If someone is both not funny and quiet then someone is both funny and creative and vice versa... | Alice is strong. | neutral | (![X]:((~curious(X)<~>~calm(X))<=>(~funny(X)<~>tall(X))))&
(![X]:(happy(X)<=>(~creative(X)<~>generous(X))))&
(![X]:((~creative(X)&~generous(X))=>curious(X)))&
((?[X]:((~funny(X)&quiet(X))))<=>(?[X]:((funny(X)&creative(X)))))&
(![X]:(generous(X)=>(~tall(X)<~>quiet(X))))&
(![X]:((kind(X)&~funny(X))<=>(~humble(X)|rich(X))... | strong(alice) | [] | null | 0 |
If someone is either not kind or not generous then alice is either wise or not patient. If someone is funny then someone is not quiet or quiet. Everyone who is either not kind or rich is not happy and vice versa. Everyone who is not patient is not happy and vice versa. Everyone who is either wise or not tall is not gen... | John is not rich. | entailment | ((?[X]:((~kind(X)<~>~generous(X))))=>((wise(alice)<~>~patient(alice))))&
((?[X]:(funny(X)))=>(?[X]:((~quiet(X)|quiet(X)))))&
(![X]:((~kind(X)<~>rich(X))<=>~happy(X)))&
(![X]:(~patient(X)<=>~happy(X)))&
(![X]:((wise(X)<~>~tall(X))<=>~generous(X)))&
((?[X]:(~generous(X)))<=>((~curious(susan)&~strong(susan))))&
(![X]:((ta... | ~rich(john) | [
"p2",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7612876386505519304913137
% SZS output start Proof for 7612876386505519304913137
3. ! [X0] : ((~kind(X0) <~> rich(X0)) <=> ~happy(X0)) [input p2]
9. ! [X0] : ((kind(X0) | ~calm(X0)) => (happy(X0) & ~old(X0))) [input p8]
22. kind(john) [input p21]
25. rich(john) [input hypothesis]
31. ! [X... | 0 |
Everyone who is either not calm or not creative is both rich and kind and vice versa.
Everyone who is both generous and not brave is not wise and vice versa.
If lucy is both rich and brave then someone is either calm or not brave and vice versa.
Everyone who is funny is both old and not creative.
Everyone who is both n... | Alice is humble. | contradiction | (![X]:((~calm(X)<~>~creative(X))<=>(rich(X)&kind(X))))&
(![X]:((generous(X)&~brave(X))<=>~wise(X)))&
(((rich(lucy)&brave(lucy)))<=>(?[X]:((calm(X)<~>~brave(X)))))&
(![X]:(funny(X)=>(old(X)&~creative(X))))&
(![X]:((~old(X)&wise(X))<=>(humble(X)|wise(X))))&
(((old(john)&wise(john)))=>((rich(fred)&~tall(fred))))&
(![X]:((... | humble(alice) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p10",
"p12",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4998600650089033236678975
% SZS output start Proof for 4998600650089033236678975
1. ! [X0] : ((~calm(X0) <~> ~creative(X0)) <=> (kind(X0) & rich(X0))) [input p0]
2. ! [X0] : ((~brave(X0) & generous(X0)) <=> ~wise(X0)) [input p1]
5. ! [X0] : ((wise(X0) & ~old(X0)) <=> (wise(X0) | humble(X0... | 0 |
Everyone who is not patient is not quiet or old and vice versa.
Everyone who is both patient and kind is not rich and vice versa.
Everyone who is patient is both not happy and not old.
If john is wise or old then someone is either not brave or old and vice versa.
Everyone who is not creative or funny is both generous a... | Susan is curious. | contradiction | (![X]:(~patient(X)<=>(~quiet(X)|old(X))))&
(![X]:((patient(X)&kind(X))<=>~rich(X)))&
(![X]:(patient(X)=>(~happy(X)&~old(X))))&
(((wise(john)|old(john)))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:((~creative(X)|funny(X))<=>(generous(X)&~happy(X))))&
((?[X]:((quiet(X)<~>curious(X))))=>((kind(susan)<~>~rich(susan))))&
((?[X... | curious(susan) | [
"p1",
"p2",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 43225379368591825878327
% SZS output start Proof for 43225379368591825878327
2. ! [X0] : ((kind(X0) & patient(X0)) <=> ~rich(X0)) [input p1]
3. ! [X0] : (patient(X0) => (~old(X0) & ~happy(X0))) [input p2]
8. ! [X0] : ((~curious(X0) & rich(X0)) <=> ~happy(X0)) [input p7]
10. ! [X0] : ((~wi... | 0 |
Everyone who is not quiet or not brave is both brave and not strong and vice versa.
If mary is either rich or curious then someone is both generous and rich.
Everyone who is wise or not kind is not rich or creative and vice versa.
If someone is both not happy and calm then someone is both not old and humble and vice ve... | Fred is not generous. | neutral | (![X]:((~quiet(X)|~brave(X))<=>(brave(X)&~strong(X))))&
(((rich(mary)<~>curious(mary)))=>(?[X]:((generous(X)&rich(X)))))&
(![X]:((wise(X)|~kind(X))<=>(~rich(X)|creative(X))))&
((?[X]:((~happy(X)&calm(X))))<=>(?[X]:((~old(X)&humble(X)))))&
(![X]:(brave(X)=>(~patient(X)|~funny(X))))&
(((~tall(fred)&quiet(fred)))<=>((~old... | ~generous(fred) | [] | null | 0 |
If someone is either generous or patient then someone is either not tall or tall.
If mary is not quiet then john is both curious and not funny and vice versa.
If someone is not tall then someone is both not kind and rich.
Everyone who is not funny is either generous or tall and vice versa.
Everyone who is either old or... | John is generous. | neutral | ((?[X]:((generous(X)<~>patient(X))))=>(?[X]:((~tall(X)<~>tall(X)))))&
((~quiet(mary))<=>((curious(john)&~funny(john))))&
((?[X]:(~tall(X)))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:(~funny(X)<=>(generous(X)<~>tall(X))))&
(![X]:((old(X)<~>~kind(X))=>(~patient(X)<~>funny(X))))&
((strong(susan))<=>((funny(john)<~>~brave(john)... | generous(john) | [] | null | 0 |
Everyone who is humble or calm is both tall and not funny. If someone is either wise or quiet then someone is generous and vice versa. Everyone who is not calm is funny or not curious and vice versa. If mary is strong or not calm then someone is either strong or not quiet. Everyone who is not patient or creative is not... | Mary is not calm. | neutral | (![X]:((humble(X)|calm(X))=>(tall(X)&~funny(X))))&
((?[X]:((wise(X)<~>quiet(X))))<=>(?[X]:(generous(X))))&
(![X]:(~calm(X)<=>(funny(X)|~curious(X))))&
(((strong(mary)|~calm(mary)))=>(?[X]:((strong(X)<~>~quiet(X)))))&
(![X]:((~patient(X)|creative(X))<=>~humble(X)))&
(![X]:((strong(X)<~>~generous(X))=>funny(X)))&
(![X]:(... | ~calm(mary) | [] | null | 0 |
Everyone who is strong or kind is quiet and vice versa.
Everyone who is strong is not generous or funny and vice versa.
If mary is not generous then someone is not creative.
If someone is rich then someone is both not patient and wise.
Everyone who is both creative and generous is either not happy or not brave.
Everyon... | Alice is patient. | contradiction | (![X]:((strong(X)|kind(X))<=>quiet(X)))&
(![X]:(strong(X)<=>(~generous(X)|funny(X))))&
((~generous(mary))=>(?[X]:(~creative(X))))&
((?[X]:(rich(X)))=>(?[X]:((~patient(X)&wise(X)))))&
(![X]:((creative(X)&generous(X))=>(~happy(X)<~>~brave(X))))&
(![X]:((~patient(X)|wise(X))<=>~humble(X)))&
(((patient(alice)&~kind(alice))... | patient(alice) | [
"p0",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5604635019826568755474608
% SZS output start Proof for 5604635019826568755474608
1. ! [X0] : ((kind(X0) | strong(X0)) <=> quiet(X0)) [input p0]
7. (~kind(alice) & patient(alice)) <=> humble(mary) [input p6]
8. ! [X0] : ((quiet(X0) | ~generous(X0)) => (humble(X0) & ~humble(X0))) [input p7]... | 0 |
Everyone who is both wise and not patient is either not funny or not strong.
If paul is patient then someone is kind or tall.
If john is curious then paul is both humble and quiet.
Everyone who is either not tall or not happy is either kind or generous and vice versa.
If someone is brave or not kind then someone is eit... | John is old. | entailment | (![X]:((wise(X)&~patient(X))=>(~funny(X)<~>~strong(X))))&
((patient(paul))=>(?[X]:((kind(X)|tall(X)))))&
((curious(john))=>((humble(paul)&quiet(paul))))&
(![X]:((~tall(X)<~>~happy(X))<=>(kind(X)<~>generous(X))))&
((?[X]:((brave(X)|~kind(X))))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(![X]:((old(X)&~patient(X))<=>(~old(X)|~c... | old(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 9026165388309913054350680
% SZS output start Proof for 9026165388309913054350680
6. ! [X0] : ((~patient(X0) & old(X0)) <=> (~creative(X0) | ~old(X0))) [input p5]
24. ~old(john) [input hypothesis]
46. ! [X0] : (((~patient(X0) & old(X0)) | (creative(X0) & old(X0))) & ((~creative(X0) | ~old(... | 0 |
Everyone who is not strong is not wise. Everyone who is both strong and not creative is not humble. Everyone who is both curious and not funny is curious. Everyone who is either not patient or wise is both not rich and humble. If someone is not rich then someone is both curious and old. Everyone who is both not old and... | Fred is strong. | entailment | (![X]:(~strong(X)=>~wise(X)))&
(![X]:((strong(X)&~creative(X))=>~humble(X)))&
(![X]:((curious(X)&~funny(X))=>curious(X)))&
(![X]:((~patient(X)<~>wise(X))=>(~rich(X)&humble(X))))&
((?[X]:(~rich(X)))=>(?[X]:((curious(X)&old(X)))))&
(![X]:((~old(X)&funny(X))=>(~strong(X)|patient(X))))&
(((curious(lucy)|~creative(lucy)))<=... | strong(fred) | [
"p0",
"p3",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 52405663277170663824045
% SZS output start Proof for 52405663277170663824045
1. ! [X0] : (~strong(X0) => ~wise(X0)) [input p0]
4. ! [X0] : ((~patient(X0) <~> wise(X0)) => (humble(X0) & ~rich(X0))) [input p3]
11. ! [X0] : ((~calm(X0) | humble(X0)) => (~curious(X0) <~> ~strong(X0))) [input ... | 0 |
If someone is kind then someone is rich and vice versa. Everyone who is either not wise or not calm is wise or funny and vice versa. Everyone who is not creative or wise is not quiet or not happy. Everyone who is both happy and not calm is both not kind and generous and vice versa. Everyone who is humble or funny is bo... | Susan is not curious. | neutral | ((?[X]:(kind(X)))<=>(?[X]:(rich(X))))&
(![X]:((~wise(X)<~>~calm(X))<=>(wise(X)|funny(X))))&
(![X]:((~creative(X)|wise(X))=>(~quiet(X)|~happy(X))))&
(![X]:((happy(X)&~calm(X))<=>(~kind(X)&generous(X))))&
(![X]:((humble(X)|funny(X))=>(~wise(X)&creative(X))))&
((?[X]:((rich(X)&~patient(X))))=>((rich(susan)|~old(susan))))&... | ~curious(susan) | [] | null | 0 |
Everyone who is creative or not creative is both not happy and not patient.
If someone is either not wise or curious then alice is either not generous or old and vice versa.
If alice is not strong or not generous then someone is kind or not tall.
If mary is not wise then someone is both not tall and not wise.
Everyone ... | Alice is not generous. | contradiction | (![X]:((creative(X)|~creative(X))=>(~happy(X)&~patient(X))))&
((?[X]:((~wise(X)<~>curious(X))))<=>((~generous(alice)<~>old(alice))))&
(((~strong(alice)|~generous(alice)))=>(?[X]:((kind(X)|~tall(X)))))&
((~wise(mary))=>(?[X]:((~tall(X)&~wise(X)))))&
(![X]:(old(X)<=>(~strong(X)&curious(X))))&
(![X]:(brave(X)=>(quiet(X)|~... | ~generous(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8000034899989898356605078
% SZS output start Proof for 8000034899989898356605078
11. ! [X0] : ((funny(X0) | ~funny(X0)) => (generous(X0) & quiet(X0))) [input p10]
24. ~generous(alice) [input hypothesis]
33. ! [X0] : ((generous(X0) & quiet(X0)) | (~funny(X0) & funny(X0))) [ennf transformat... | 0 |
If someone is both not creative and patient then someone is either humble or not kind and vice versa.
Everyone who is both wise and not quiet is both not strong and not kind.
Everyone who is strong is not brave.
Everyone who is either strong or quiet is not old or not tall and vice versa.
Everyone who is not patient is... | Lucy is calm. | contradiction | ((?[X]:((~creative(X)&patient(X))))<=>(?[X]:((humble(X)<~>~kind(X)))))&
(![X]:((wise(X)&~quiet(X))=>(~strong(X)&~kind(X))))&
(![X]:(strong(X)=>~brave(X)))&
(![X]:((strong(X)<~>quiet(X))<=>(~old(X)|~tall(X))))&
(![X]:(~patient(X)=>(happy(X)<~>patient(X))))&
(((humble(mary)&~patient(mary)))=>(~creative(lucy)))&
(![X]:((~... | calm(lucy) | [
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1483659507940624564135187
% SZS output start Proof for 1483659507940624564135187
7. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> (~calm(X0) <~> generous(X0))) [input p6]
16. ! [X0] : (wise(X0) <=> rich(X0)) [input p15]
20. ~rich(lucy) [input p19]
24. calm(lucy) [input hypothesis]
47. ! [X0] ... | 0 |
Everyone who is both wise and not humble is not old or brave and vice versa.
If someone is not creative then someone is either not patient or humble and vice versa.
If paul is not humble then someone is not funny or rich and vice versa.
Everyone who is curious or not happy is not kind or not brave.
If someone is both o... | Paul is curious. | contradiction | (![X]:((wise(X)&~humble(X))<=>(~old(X)|brave(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~patient(X)<~>humble(X)))))&
((~humble(paul))<=>(?[X]:((~funny(X)|rich(X)))))&
(![X]:((curious(X)|~happy(X))=>(~kind(X)|~brave(X))))&
((?[X]:((old(X)&~generous(X))))=>((~old(susan)&funny(susan))))&
(((~rich(fred)<~>~old(fred)))<=>(?[X]... | curious(paul) | [
"p2",
"p6",
"p11",
"p12",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 685185661454061394096902
% SZS output start Proof for 685185661454061394096902
3. ~humble(paul) <=> ? [X0] : (rich(X0) | ~funny(X0)) [input p2]
7. ! [X0] : ((creative(X0) | strong(X0)) <=> wise(X0)) [input p6]
12. ! [X0] : ((humble(X0) & calm(X0)) <=> (wise(X0) | ~funny(X0))) [input p11]
... | 0 |
Everyone who is both old and not kind is creative and vice versa.
Everyone who is both kind and not brave is not creative or brave and vice versa.
If fred is either generous or not calm then john is both kind and generous.
Everyone who is both happy and not generous is not rich.
Everyone who is humble is not wise or pa... | Susan is not strong. | neutral | (![X]:((old(X)&~kind(X))<=>creative(X)))&
(![X]:((kind(X)&~brave(X))<=>(~creative(X)|brave(X))))&
(((generous(fred)<~>~calm(fred)))=>((kind(john)&generous(john))))&
(![X]:((happy(X)&~generous(X))=>~rich(X)))&
(![X]:(humble(X)=>(~wise(X)|patient(X))))&
(![X]:(~calm(X)<=>(quiet(X)&~old(X))))&
((~calm(alice))=>(?[X]:((gen... | ~strong(susan) | [] | null | 0 |
If susan is either not quiet or humble then fred is wise. Everyone who is both kind and not funny is old or brave and vice versa. If someone is not patient then someone is both not kind and curious and vice versa. Everyone who is both not curious and not quiet is both not happy and not calm. Everyone who is not patient... | Fred is not generous. | contradiction | (((~quiet(susan)<~>humble(susan)))=>(wise(fred)))&
(![X]:((kind(X)&~funny(X))<=>(old(X)|brave(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((~curious(X)&~quiet(X))=>(~happy(X)&~calm(X))))&
(![X]:(~patient(X)<=>(~brave(X)|patient(X))))&
(((tall(fred)<~>~generous(fred)))<=>(?[X]:(patient(X))))&
(... | ~generous(fred) | [
"p1",
"p4",
"p5",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3068282245911810459385060
% SZS output start Proof for 3068282245911810459385060
2. ! [X0] : ((~funny(X0) & kind(X0)) <=> (brave(X0) | old(X0))) [input p1]
5. ! [X0] : (~patient(X0) <=> (patient(X0) | ~brave(X0))) [input p4]
6. (tall(fred) <~> ~generous(fred)) <=> ? [X0] : patient(X0) [in... | 0 |
Everyone who is not kind is not creative or not generous and vice versa.
If someone is both creative and brave then someone is both not quiet and rich and vice versa.
Everyone who is both generous and not old is not wise or strong.
Everyone who is not humble or curious is either not calm or not old.
If someone is not b... | John is brave. | contradiction | (![X]:(~kind(X)<=>(~creative(X)|~generous(X))))&
((?[X]:((creative(X)&brave(X))))<=>(?[X]:((~quiet(X)&rich(X)))))&
(![X]:((generous(X)&~old(X))=>(~wise(X)|strong(X))))&
(![X]:((~humble(X)|curious(X))=>(~calm(X)<~>~old(X))))&
((?[X]:((~brave(X)|rich(X))))<=>(patient(lucy)))&
(![X]:(~quiet(X)<=>(kind(X)<~>~old(X))))&
((?... | brave(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6144548446064725724329268
% SZS output start Proof for 6144548446064725724329268
11. ! [X0] : ((~tall(X0) | brave(X0)) <=> (~quiet(X0) & ~brave(X0))) [input p10]
23. brave(john) [input hypothesis]
59. ! [X0] : (((~tall(X0) | brave(X0)) | (quiet(X0) | brave(X0))) & ((~quiet(X0) & ~brave(X0... | 0 |
Everyone who is both calm and strong is funny or not quiet. Everyone who is not strong is not quiet or not generous and vice versa. If someone is both not calm and quiet then someone is either happy or tall and vice versa. If someone is strong then lucy is not kind and vice versa. Everyone who is not creative or not fu... | Paul is tall. | contradiction | (![X]:((calm(X)&strong(X))=>(funny(X)|~quiet(X))))&
(![X]:(~strong(X)<=>(~quiet(X)|~generous(X))))&
((?[X]:((~calm(X)&quiet(X))))<=>(?[X]:((happy(X)<~>tall(X)))))&
((?[X]:(strong(X)))<=>(~kind(lucy)))&
(![X]:((~creative(X)|~funny(X))<=>(~creative(X)&~happy(X))))&
(((~old(paul)|happy(paul)))<=>((~rich(john)<~>strong(joh... | tall(paul) | [
"p4",
"p8",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6251529213033184637511011
% SZS output start Proof for 6251529213033184637511011
5. ! [X0] : ((~funny(X0) | ~creative(X0)) <=> (~happy(X0) & ~creative(X0))) [input p4]
9. ! [X0] : (old(X0) => (~creative(X0) <~> ~calm(X0))) [input p8]
10. ! [X0] : ((~wise(X0) & ~creative(X0)) <=> (~tall(X0... | 0 |
Everyone who is brave or creative is not kind and vice versa.
Everyone who is both not brave and funny is either quiet or patient and vice versa.
Everyone who is either not wise or not quiet is not generous or not curious.
Everyone who is not tall is curious and vice versa.
If fred is either tall or kind then someone i... | Fred is not wise. | entailment | (![X]:((brave(X)|creative(X))<=>~kind(X)))&
(![X]:((~brave(X)&funny(X))<=>(quiet(X)<~>patient(X))))&
(![X]:((~wise(X)<~>~quiet(X))=>(~generous(X)|~curious(X))))&
(![X]:(~tall(X)<=>curious(X)))&
(((tall(fred)<~>kind(fred)))=>(?[X]:((~calm(X)<~>kind(X)))))&
(![X]:((~creative(X)<~>creative(X))<=>(brave(X)|funny(X))))&
(![... | ~wise(fred) | [
"p0",
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3001425604327483981553061
% SZS output start Proof for 3001425604327483981553061
1. ! [X0] : ((creative(X0) | brave(X0)) <=> ~kind(X0)) [input p0]
6. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (funny(X0) | brave(X0))) [input p5]
8. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~creative(X... | 0 |
Everyone who is both not humble and not creative is both not patient and not kind and vice versa.
Everyone who is brave is not quiet or not rich.
Everyone who is either quiet or rich is not creative.
Everyone who is both not humble and creative is curious or humble and vice versa.
Everyone who is wise is old or not hum... | Paul is not quiet. | entailment | (![X]:((~humble(X)&~creative(X))<=>(~patient(X)&~kind(X))))&
(![X]:(brave(X)=>(~quiet(X)|~rich(X))))&
(![X]:((quiet(X)<~>rich(X))=>~creative(X)))&
(![X]:((~humble(X)&creative(X))<=>(curious(X)|humble(X))))&
(![X]:(wise(X)=>(old(X)|~humble(X))))&
(![X]:(happy(X)=>strong(X)))&
(![X]:((tall(X)<~>~kind(X))=>~funny(X)))&
((... | ~quiet(paul) | [
"p0",
"p2",
"p3",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8859350079109607780168901
% SZS output start Proof for 8859350079109607780168901
1. ! [X0] : ((~creative(X0) & ~humble(X0)) <=> (~kind(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((quiet(X0) <~> rich(X0)) => ~creative(X0)) [input p2]
4. ! [X0] : ((creative(X0) & ~humble(X0)) <=> (humble(X... | 0 |
Everyone who is either strong or wise is either funny or old.
If john is both generous and funny then someone is not brave or not tall and vice versa.
If someone is both funny and patient then alice is not calm or not strong and vice versa.
Everyone who is curious is both kind and curious.
If someone is wise then someo... | Paul is not brave. | contradiction | (![X]:((strong(X)<~>wise(X))=>(funny(X)<~>old(X))))&
(((generous(john)&funny(john)))<=>(?[X]:((~brave(X)|~tall(X)))))&
((?[X]:((funny(X)&patient(X))))<=>((~calm(alice)|~strong(alice))))&
(![X]:(curious(X)=>(kind(X)&curious(X))))&
((?[X]:(wise(X)))=>(?[X]:((~wise(X)|old(X)))))&
((?[X]:(~brave(X)))=>((~kind(paul)|~curiou... | ~brave(paul) | [
"p3",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3579424308114200419807291
% SZS output start Proof for 3579424308114200419807291
4. ! [X0] : (curious(X0) => (curious(X0) & kind(X0))) [input p3]
6. ? [X0] : ~brave(X0) => (~curious(paul) | ~kind(paul)) [input p5]
9. ! [X0] : ((brave(X0) | ~curious(X0)) <=> (creative(X0) & curious(X0))) [... | 0 |
Everyone who is not patient or quiet is tall or not old.
If alice is both quiet and not generous then fred is not funny or not quiet and vice versa.
If susan is either generous or not brave then someone is both not creative and happy and vice versa.
Everyone who is either old or not quiet is not strong.
Everyone who is... | Mary is funny. | neutral | (![X]:((~patient(X)|quiet(X))=>(tall(X)|~old(X))))&
(((quiet(alice)&~generous(alice)))<=>((~funny(fred)|~quiet(fred))))&
(((generous(susan)<~>~brave(susan)))<=>(?[X]:((~creative(X)&happy(X)))))&
(![X]:((old(X)<~>~quiet(X))=>~strong(X)))&
(![X]:((~tall(X)&patient(X))<=>(creative(X)|strong(X))))&
((?[X]:((creative(X)<~>~... | funny(mary) | [] | null | 0 |
If someone is not calm or not strong then someone is not curious.
If alice is both creative and not old then someone is not brave or funny.
Everyone who is not rich is both not happy and brave.
Everyone who is not humble is either not happy or brave and vice versa.
If someone is patient or rich then someone is either n... | John is wise. | entailment | ((?[X]:((~calm(X)|~strong(X))))=>(?[X]:(~curious(X))))&
(((creative(alice)&~old(alice)))=>(?[X]:((~brave(X)|funny(X)))))&
(![X]:(~rich(X)=>(~happy(X)&brave(X))))&
(![X]:(~humble(X)<=>(~happy(X)<~>brave(X))))&
((?[X]:((patient(X)|rich(X))))=>(?[X]:((~patient(X)<~>~quiet(X)))))&
(![X]:((brave(X)|~strong(X))<=>(~rich(X)<~... | wise(john) | [
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 9117736184847037592712757
% SZS output start Proof for 9117736184847037592712757
14. ! [X0] : ((~humble(X0) <~> wise(X0)) => (humble(X0) & ~happy(X0))) [input p13]
15. ! [X0] : ((patient(X0) | quiet(X0)) <=> ~quiet(X0)) [input p14]
24. ~humble(john) | ~patient(john) [input p23]
25. ~wise(... | 0 |
If someone is not calm or humble then someone is either not strong or strong.
If susan is either not patient or funny then alice is not old and vice versa.
If fred is either not kind or happy then john is both calm and not kind and vice versa.
Everyone who is both not wise and not humble is both not strong and strong.
... | Paul is humble. | entailment | ((?[X]:((~calm(X)|humble(X))))=>(?[X]:((~strong(X)<~>strong(X)))))&
(((~patient(susan)<~>funny(susan)))<=>(~old(alice)))&
(((~kind(fred)<~>happy(fred)))<=>((calm(john)&~kind(john))))&
(![X]:((~wise(X)&~humble(X))=>(~strong(X)&strong(X))))&
(![X]:(curious(X)=>(~happy(X)&funny(X))))&
(![X]:((~funny(X)&tall(X))=>kind(X)))... | humble(paul) | [
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3674752574665809145536511
% SZS output start Proof for 3674752574665809145536511
4. ! [X0] : ((~humble(X0) & ~wise(X0)) => (strong(X0) & ~strong(X0))) [input p3]
18. ~wise(paul) & brave(paul) [input p17]
25. ~humble(paul) [input hypothesis]
29. ! [X0] : ((strong(X0) & ~strong(X0)) | (humb... | 0 |
Everyone who is both old and quiet is wise or not old and vice versa.
Everyone who is kind or not old is not happy and vice versa.
If someone is kind then someone is both not humble and not old.
Everyone who is either not strong or rich is not curious or not calm and vice versa.
Everyone who is both kind and wise is wi... | John is not kind. | entailment | (![X]:((old(X)&quiet(X))<=>(wise(X)|~old(X))))&
(![X]:((kind(X)|~old(X))<=>~happy(X)))&
((?[X]:(kind(X)))=>(?[X]:((~humble(X)&~old(X)))))&
(![X]:((~strong(X)<~>rich(X))<=>(~curious(X)|~calm(X))))&
(![X]:((kind(X)&wise(X))=>wise(X)))&
(![X]:((funny(X)<~>~happy(X))<=>~happy(X)))&
(((creative(john)<~>~humble(john)))=>(?[X... | ~kind(john) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7218855227064864145810739
% SZS output start Proof for 7218855227064864145810739
1. ! [X0] : ((quiet(X0) & old(X0)) <=> (~old(X0) | wise(X0))) [input p0]
3. ? [X0] : kind(X0) => ? [X0] : (~old(X0) & ~humble(X0)) [input p2]
23. kind(john) [input hypothesis]
24. ? [X0] : kind(X0) => ? [X1] ... | 0 |
Everyone who is creative or strong is not brave.
If someone is both not quiet and generous then someone is tall or not wise and vice versa.
If someone is either tall or not generous then someone is both calm and not tall and vice versa.
If someone is either not old or creative then someone is either calm or not curious... | Mary is not strong. | contradiction | (![X]:((creative(X)|strong(X))=>~brave(X)))&
((?[X]:((~quiet(X)&generous(X))))<=>(?[X]:((tall(X)|~wise(X)))))&
((?[X]:((tall(X)<~>~generous(X))))<=>(?[X]:((calm(X)&~tall(X)))))&
((?[X]:((~old(X)<~>creative(X))))<=>(?[X]:((calm(X)<~>~curious(X)))))&
(![X]:((curious(X)|~curious(X))=>(~calm(X)|kind(X))))&
(((~patient(mary... | ~strong(mary) | [
"p0",
"p5",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 951560537190443202422692
% SZS output start Proof for 951560537190443202422692
1. ! [X0] : ((strong(X0) | creative(X0)) => ~brave(X0)) [input p0]
6. (~quiet(mary) | ~patient(mary)) => (brave(john) & humble(john)) [input p5]
10. ! [X0] : (creative(X0) <=> ~strong(X0)) [input p9]
11. ! [X0]... | 0 |
Everyone who is wise is either creative or not funny.
Everyone who is wise is either not calm or not strong and vice versa.
If someone is both funny and not rich then someone is not wise.
Everyone who is not quiet is either calm or funny and vice versa.
If mary is either happy or quiet then someone is not quiet or calm... | Fred is not patient. | neutral | (![X]:(wise(X)=>(creative(X)<~>~funny(X))))&
(![X]:(wise(X)<=>(~calm(X)<~>~strong(X))))&
((?[X]:((funny(X)&~rich(X))))=>(?[X]:(~wise(X))))&
(![X]:(~quiet(X)<=>(calm(X)<~>funny(X))))&
(((happy(mary)<~>quiet(mary)))<=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((happy(X)&~old(X))=>(~funny(X)&humble(X))))&
(![X]:(~calm(X)<=>(cu... | ~patient(fred) | [] | null | 0 |
If someone is kind then john is not quiet or humble and vice versa.
Everyone who is not generous is not generous or old and vice versa.
If susan is generous then alice is both not kind and not wise and vice versa.
Everyone who is either not quiet or funny is rich.
If someone is either old or curious then lucy is either... | Lucy is not curious. | entailment | ((?[X]:(kind(X)))<=>((~quiet(john)|humble(john))))&
(![X]:(~generous(X)<=>(~generous(X)|old(X))))&
((generous(susan))<=>((~kind(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>funny(X))=>rich(X)))&
((?[X]:((old(X)<~>curious(X))))<=>((~brave(lucy)<~>strong(lucy))))&
((?[X]:((strong(X)&brave(X))))<=>(?[X]:(curious(X))))&
(![... | ~curious(lucy) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7390623711888793540612009
% SZS output start Proof for 7390623711888793540612009
6. ? [X0] : (brave(X0) & strong(X0)) <=> ? [X0] : curious(X0) [input p5]
16. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p15]
23. curious(lucy) [input hypothesis]
24. ? [X0] : (... | 0 |
Everyone who is funny or rich is not kind and vice versa.
Everyone who is either old or strong is both not strong and curious.
If someone is either creative or humble then someone is not patient and vice versa.
If someone is not brave then someone is either not calm or generous and vice versa.
Everyone who is not rich ... | Alice is old. | neutral | (![X]:((funny(X)|rich(X))<=>~kind(X)))&
(![X]:((old(X)<~>strong(X))=>(~strong(X)&curious(X))))&
((?[X]:((creative(X)<~>humble(X))))<=>(?[X]:(~patient(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((~calm(X)<~>generous(X)))))&
(![X]:(~rich(X)<=>~happy(X)))&
((?[X]:((~generous(X)&kind(X))))=>(~calm(alice)))&
(![X]:(~generous(X)<=>(... | old(alice) | [] | null | 0 |
Everyone who is wise is not patient and vice versa. If someone is quiet or not patient then john is curious. Everyone who is both strong and not rich is both not strong and not curious. Everyone who is kind or creative is either not happy or not wise. Everyone who is either not quiet or tall is either not creative or c... | Fred is not creative. | contradiction | (![X]:(wise(X)<=>~patient(X)))&
((?[X]:((quiet(X)|~patient(X))))=>(curious(john)))&
(![X]:((strong(X)&~rich(X))=>(~strong(X)&~curious(X))))&
(![X]:((kind(X)|creative(X))=>(~happy(X)<~>~wise(X))))&
(![X]:((~quiet(X)<~>tall(X))<=>(~creative(X)<~>creative(X))))&
(![X]:((~patient(X)&~tall(X))<=>(~happy(X)|patient(X))))&
((... | ~creative(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8978398190482767965103947
% SZS output start Proof for 8978398190482767965103947
16. ! [X0] : (~happy(X0) <=> (~creative(X0) <~> ~happy(X0))) [input p15]
23. ~creative(fred) [input hypothesis]
58. ! [X0] : ((~happy(X0) | ((~creative(X0) | happy(X0)) & (~happy(X0) | creative(X0)))) & (((ha... | 0 |
Everyone who is either not creative or humble is not funny and vice versa.
Everyone who is not funny is strong.
If fred is either not old or strong then someone is both not calm and calm.
Everyone who is either not brave or not kind is both not old and not rich and vice versa.
Everyone who is both not quiet and not kin... | Fred is happy. | entailment | (![X]:((~creative(X)<~>humble(X))<=>~funny(X)))&
(![X]:(~funny(X)=>strong(X)))&
(((~old(fred)<~>strong(fred)))=>(?[X]:((~calm(X)&calm(X)))))&
(![X]:((~brave(X)<~>~kind(X))<=>(~old(X)&~rich(X))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&curious(X))))&
((?[X]:((happy(X)<~>~ca... | happy(fred) | [
"p4",
"p5",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2560837339900187172117414
% SZS output start Proof for 2560837339900187172117414
5. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (curious(X0) & ~quiet(X0))) [input p5]
7. ? [X0] : (happy(X0) <~> ~calm(X0)) <=> ? [X0] : (tall(X0)... | 0 |
If lucy is both not patient and not tall then someone is wise and vice versa.
Everyone who is either not calm or not creative is both not strong and not creative.
If someone is both calm and old then alice is either not patient or not creative.
Everyone who is both funny and patient is not strong.
If paul is not strong... | John is not old. | neutral | (((~patient(lucy)&~tall(lucy)))<=>(?[X]:(wise(X))))&
(![X]:((~calm(X)<~>~creative(X))=>(~strong(X)&~creative(X))))&
((?[X]:((calm(X)&old(X))))=>((~patient(alice)<~>~creative(alice))))&
(![X]:((funny(X)&patient(X))=>~strong(X)))&
((~strong(paul))<=>(?[X]:((~tall(X)&rich(X)))))&
(((calm(john)|~patient(john)))=>((~kind(fr... | ~old(john) | [] | null | 0 |
If someone is both calm and not curious then someone is either not tall or brave and vice versa.
If paul is brave then john is patient or not strong.
If paul is generous or tall then john is both not creative and not humble.
Everyone who is either not kind or not patient is not humble.
If someone is not patient or kind... | Paul is not brave. | neutral | ((?[X]:((calm(X)&~curious(X))))<=>(?[X]:((~tall(X)<~>brave(X)))))&
((brave(paul))=>((patient(john)|~strong(john))))&
(((generous(paul)|tall(paul)))=>((~creative(john)&~humble(john))))&
(![X]:((~kind(X)<~>~patient(X))=>~humble(X)))&
((?[X]:((~patient(X)|kind(X))))<=>((~calm(susan)<~>~wise(susan))))&
(![X]:((creative(X)<... | ~brave(paul) | [] | null | 0 |
Everyone who is either not patient or not curious is not funny.
Everyone who is curious is both brave and not quiet and vice versa.
If someone is wise then someone is humble or calm.
Everyone who is both quiet and generous is not old or strong.
If lucy is both not quiet and calm then someone is both not curious and bra... | Susan is tall. | entailment | (![X]:((~patient(X)<~>~curious(X))=>~funny(X)))&
(![X]:(curious(X)<=>(brave(X)&~quiet(X))))&
((?[X]:(wise(X)))=>(?[X]:((humble(X)|calm(X)))))&
(![X]:((quiet(X)&generous(X))=>(~old(X)|strong(X))))&
(((~quiet(lucy)&calm(lucy)))=>(?[X]:((~curious(X)&brave(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((creative(X)<~>~quiet(X)))))&
(... | tall(susan) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1074488888982173549414050
% SZS output start Proof for 1074488888982173549414050
10. ? [X0] : (tall(X0) <~> humble(X0)) <=> (tall(susan) & patient(susan)) [input p9]
20. ? [X0] : (humble(X0) & ~tall(X0)) [input p19]
24. ~tall(susan) [input hypothesis]
51. (? [X0] : ((~humble(X0) | ~tall(X... | 0 |
If paul is either not creative or not wise then mary is not happy or not tall. Everyone who is patient or happy is either brave or not calm. Everyone who is old is either not quiet or calm and vice versa. Everyone who is either not creative or generous is funny or generous and vice versa. Everyone who is either not hum... | Alice is not brave. | neutral | (((~creative(paul)<~>~wise(paul)))=>((~happy(mary)|~tall(mary))))&
(![X]:((patient(X)|happy(X))=>(brave(X)<~>~calm(X))))&
(![X]:(old(X)<=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(funny(X)|generous(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(humble(X)&~humble(X))))&
(![X]:((generous(X)&~generous(X))<=... | ~brave(alice) | [] | null | 0 |
If fred is not happy then susan is creative.
If someone is strong or quiet then someone is tall or not strong and vice versa.
If alice is strong or funny then someone is either not funny or generous and vice versa.
Everyone who is both funny and calm is not patient or creative and vice versa.
If someone is either not h... | Paul is kind. | contradiction | ((~happy(fred))=>(creative(susan)))&
((?[X]:((strong(X)|quiet(X))))<=>(?[X]:((tall(X)|~strong(X)))))&
(((strong(alice)|funny(alice)))<=>(?[X]:((~funny(X)<~>generous(X)))))&
(![X]:((funny(X)&calm(X))<=>(~patient(X)|creative(X))))&
((?[X]:((~humble(X)<~>~curious(X))))<=>(?[X]:((~calm(X)&humble(X)))))&
(![X]:((funny(X)|~r... | kind(paul) | [
"p3",
"p7",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 697245270048291122685583
% SZS output start Proof for 697245270048291122685583
4. ! [X0] : ((calm(X0) & funny(X0)) <=> (creative(X0) | ~patient(X0))) [input p3]
8. (generous(alice) & funny(alice)) <=> ? [X0] : (happy(X0) <~> ~generous(X0)) [input p7]
12. ! [X0] : ((~calm(X0) | funny(X0)) ... | 0 |
If fred is creative then paul is not calm or old and vice versa.
Everyone who is strong is old or kind and vice versa.
If someone is not strong then fred is both rich and quiet.
Everyone who is wise or calm is both happy and brave.
Everyone who is either quiet or brave is both not quiet and not funny and vice versa.
Ev... | Fred is rich. | entailment | ((creative(fred))<=>((~calm(paul)|old(paul))))&
(![X]:(strong(X)<=>(old(X)|kind(X))))&
((?[X]:(~strong(X)))=>((rich(fred)&quiet(fred))))&
(![X]:((wise(X)|calm(X))=>(happy(X)&brave(X))))&
(![X]:((quiet(X)<~>brave(X))<=>(~quiet(X)&~funny(X))))&
(![X]:((rich(X)<~>generous(X))=>(happy(X)<~>~strong(X))))&
(![X]:((~funny(X)|... | rich(fred) | [
"p2",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6744669284431251461766542
% SZS output start Proof for 6744669284431251461766542
3. ? [X0] : ~strong(X0) => (quiet(fred) & rich(fred)) [input p2]
8. ! [X0] : ((strong(X0) | ~creative(X0)) <=> (tall(X0) <~> rich(X0))) [input p7]
21. ? [X0] : (rich(X0) <~> ~tall(X0)) [input p20]
25. ~rich(f... | 0 |
Everyone who is either strong or not humble is not generous and vice versa.
Everyone who is not quiet is kind or tall and vice versa.
Everyone who is either not generous or not creative is either patient or strong and vice versa.
If someone is either not humble or humble then susan is both wise and not old and vice ver... | Susan is not wise. | contradiction | (![X]:((strong(X)<~>~humble(X))<=>~generous(X)))&
(![X]:(~quiet(X)<=>(kind(X)|tall(X))))&
(![X]:((~generous(X)<~>~creative(X))<=>(patient(X)<~>strong(X))))&
((?[X]:((~humble(X)<~>humble(X))))<=>((wise(susan)&~old(susan))))&
((?[X]:((~generous(X)<~>~happy(X))))=>((~strong(lucy)<~>~creative(lucy))))&
(((strong(john)&~pat... | ~wise(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6609750437728297560652027
% SZS output start Proof for 6609750437728297560652027
4. ? [X0] : (~humble(X0) <~> humble(X0)) <=> (~old(susan) & wise(susan)) [input p3]
25. ~wise(susan) [input hypothesis]
42. (? [X0] : ((~humble(X0) | humble(X0)) & (humble(X0) | ~humble(X0))) | (old(susan) | ... | 0 |
If lucy is both not funny and wise then mary is not curious or funny and vice versa.
If someone is not wise or not curious then someone is either old or calm.
If someone is old or generous then paul is either strong or patient and vice versa.
If susan is both not wise and not brave then alice is quiet or funny.
Everyon... | Alice is not humble. | neutral | (((~funny(lucy)&wise(lucy)))<=>((~curious(mary)|funny(mary))))&
((?[X]:((~wise(X)|~curious(X))))=>(?[X]:((old(X)<~>calm(X)))))&
((?[X]:((old(X)|generous(X))))<=>((strong(paul)<~>patient(paul))))&
(((~wise(susan)&~brave(susan)))=>((quiet(alice)|funny(alice))))&
(![X]:((~creative(X)<~>~wise(X))=>(strong(X)<~>rich(X))))&
... | ~humble(alice) | [] | null | 0 |
Everyone who is both not quiet and generous is not calm. Everyone who is not strong is kind or old and vice versa. Everyone who is kind or old is quiet and vice versa. Everyone who is both not humble and funny is either not generous or creative and vice versa. Everyone who is funny or generous is not quiet. If someone ... | Alice is humble. | neutral | (![X]:((~quiet(X)&generous(X))=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&funny(X))<=>(~generous(X)<~>creative(X))))&
(![X]:((funny(X)|generous(X))=>~quiet(X)))&
((?[X]:((tall(X)<~>kind(X))))=>(calm(fred)))&
(![X]:((wise(X)|~patient(X))=>~generous(X)))&... | humble(alice) | [] | null | 0 |
If paul is both generous and not funny then someone is not funny or humble and vice versa.
Everyone who is either funny or brave is both old and humble and vice versa.
Everyone who is either not happy or not funny is both rich and wise and vice versa.
Everyone who is both creative and not creative is both not kind and ... | Paul is funny. | contradiction | (((generous(paul)&~funny(paul)))<=>(?[X]:((~funny(X)|humble(X)))))&
(![X]:((funny(X)<~>brave(X))<=>(old(X)&humble(X))))&
(![X]:((~happy(X)<~>~funny(X))<=>(rich(X)&wise(X))))&
(![X]:((creative(X)&~creative(X))<=>(~kind(X)&~quiet(X))))&
((?[X]:(curious(X)))=>((~quiet(alice)<~>curious(alice))))&
((old(susan))<=>(?[X]:(~ri... | funny(paul) | [
"p0",
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7092441713985443888381150
% SZS output start Proof for 7092441713985443888381150
1. (~funny(paul) & generous(paul)) <=> ? [X0] : (humble(X0) | ~funny(X0)) [input p0]
2. ! [X0] : ((funny(X0) <~> brave(X0)) <=> (humble(X0) & old(X0))) [input p1]
13. (brave(fred) <~> ~brave(fred)) => (~brave... | 0 |
Everyone who is either wise or happy is both curious and not kind and vice versa.
If john is not brave or not rich then susan is either calm or kind and vice versa.
Everyone who is either brave or quiet is wise or calm and vice versa.
Everyone who is both not happy and not kind is creative or not brave and vice versa.
... | John is not creative. | neutral | (![X]:((wise(X)<~>happy(X))<=>(curious(X)&~kind(X))))&
(((~brave(john)|~rich(john)))<=>((calm(susan)<~>kind(susan))))&
(![X]:((brave(X)<~>quiet(X))<=>(wise(X)|calm(X))))&
(![X]:((~happy(X)&~kind(X))<=>(creative(X)|~brave(X))))&
(![X]:((~curious(X)|creative(X))<=>calm(X)))&
(![X]:((calm(X)&creative(X))=>(~creative(X)|~o... | ~creative(john) | [] | null | 0 |
If paul is generous or not humble then someone is not rich.
Everyone who is not wise or not calm is either not happy or calm and vice versa.
Everyone who is not happy is quiet.
If someone is either tall or not calm then alice is both creative and not brave.
If paul is either not old or wise then someone is not strong o... | Paul is old. | contradiction | (((generous(paul)|~humble(paul)))=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)|~calm(X))<=>(~happy(X)<~>calm(X))))&
(![X]:(~happy(X)=>quiet(X)))&
((?[X]:((tall(X)<~>~calm(X))))=>((creative(alice)&~brave(alice))))&
(((~old(paul)<~>wise(paul)))<=>(?[X]:((~strong(X)|kind(X)))))&
((?[X]:(rich(X)))=>((~patient(john)<~>~calm(john))... | old(paul) | [
"p4",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 988060432465052159551622
% SZS output start Proof for 988060432465052159551622
5. (~old(paul) <~> wise(paul)) <=> ? [X0] : (kind(X0) | ~strong(X0)) [input p4]
7. ! [X0] : ((quiet(X0) | creative(X0)) => (calm(X0) & ~wise(X0))) [input p6]
15. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> (old(X0) <... | 0 |
If someone is rich then someone is either strong or not strong. If alice is either not quiet or old then someone is both wise and not calm and vice versa. Everyone who is generous or not tall is either not calm or not humble and vice versa. Everyone who is either not rich or creative is both brave and creative. If alic... | Fred is creative. | entailment | ((?[X]:(rich(X)))=>(?[X]:((strong(X)<~>~strong(X)))))&
(((~quiet(alice)<~>old(alice)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((generous(X)|~tall(X))<=>(~calm(X)<~>~humble(X))))&
(![X]:((~rich(X)<~>creative(X))=>(brave(X)&creative(X))))&
(((~humble(alice)&curious(alice)))<=>(?[X]:((old(X)&strong(X)))))&
((?[X]:((quiet(X... | creative(fred) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4529446175683025484780703
% SZS output start Proof for 4529446175683025484780703
3. ! [X0] : ((~tall(X0) | generous(X0)) <=> (~calm(X0) <~> ~humble(X0))) [input p2]
6. ? [X0] : (~funny(X0) & quiet(X0)) <=> ? [X0] : (wise(X0) | calm(X0)) [input p5]
7. ! [X0] : ((happy(X0) & ~strong(X0)) =>... | 0 |
Everyone who is not rich or not humble is both kind and not tall and vice versa.
If fred is not old or not tall then someone is either tall or not rich.
Everyone who is either rich or quiet is both kind and quiet.
If someone is both not curious and calm then someone is curious or not generous.
Everyone who is both kind... | Alice is rich. | entailment | (![X]:((~rich(X)|~humble(X))<=>(kind(X)&~tall(X))))&
(((~old(fred)|~tall(fred)))=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((rich(X)<~>quiet(X))=>(kind(X)&quiet(X))))&
((?[X]:((~curious(X)&calm(X))))=>(?[X]:((curious(X)|~generous(X)))))&
(![X]:((kind(X)&~rich(X))=>(rich(X)&calm(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(brave... | rich(alice) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4236677586484320560819267
% SZS output start Proof for 4236677586484320560819267
1. ! [X0] : ((~humble(X0) | ~rich(X0)) <=> (~tall(X0) & kind(X0))) [input p0]
5. ! [X0] : ((~rich(X0) & kind(X0)) => (calm(X0) & rich(X0))) [input p4]
22. ~rich(alice) [input hypothesis]
28. ! [X0] : ((calm(X... | 0 |
Everyone who is either old or not tall is not tall or not humble and vice versa.
Everyone who is either not patient or curious is not old or creative and vice versa.
Everyone who is either not generous or not strong is old and vice versa.
If susan is both not funny and strong then someone is either quiet or not old and... | Susan is old. | neutral | (![X]:((old(X)<~>~tall(X))<=>(~tall(X)|~humble(X))))&
(![X]:((~patient(X)<~>curious(X))<=>(~old(X)|creative(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>old(X)))&
(((~funny(susan)&strong(susan)))<=>(?[X]:((quiet(X)<~>~old(X)))))&
(![X]:((~patient(X)|~old(X))=>(~old(X)|~tall(X))))&
((?[X]:((~generous(X)|generous(X))))<=>... | old(susan) | [] | null | 0 |
Everyone who is either not funny or strong is not old.
Everyone who is either rich or not calm is not funny or not generous.
If someone is both funny and generous then someone is both not kind and quiet.
If fred is both funny and not strong then someone is either brave or not generous and vice versa.
Everyone who is no... | John is not humble. | entailment | (![X]:((~funny(X)<~>strong(X))=>~old(X)))&
(![X]:((rich(X)<~>~calm(X))=>(~funny(X)|~generous(X))))&
((?[X]:((funny(X)&generous(X))))=>(?[X]:((~kind(X)&quiet(X)))))&
(((funny(fred)&~strong(fred)))<=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((~tall(X)|~calm(X))=>(~happy(X)<~>happy(X))))&
(![X]:(tall(X)<=>(~rich(X)<~>~f... | ~humble(john) | [
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 508983714233376966678421
% SZS output start Proof for 508983714233376966678421
7. ! [X0] : ((~generous(X0) & brave(X0)) <=> humble(X0)) [input p6]
9. ! [X0] : (strong(X0) <=> (~brave(X0) & humble(X0))) [input p8]
10. ! [X0] : (~generous(X0) <=> (strong(X0) | ~wise(X0))) [input p9]
12. ! [... | 0 |
Everyone who is not calm is both not old and brave. Everyone who is not calm is patient or curious and vice versa. Everyone who is not quiet is kind. Everyone who is funny is either generous or kind and vice versa. Everyone who is not generous or not brave is not funny or not wise and vice versa. If someone is either c... | Mary is kind. | contradiction | (![X]:(~calm(X)=>(~old(X)&brave(X))))&
(![X]:(~calm(X)<=>(patient(X)|curious(X))))&
(![X]:(~quiet(X)=>kind(X)))&
(![X]:(funny(X)<=>(generous(X)<~>kind(X))))&
(![X]:((~generous(X)|~brave(X))<=>(~funny(X)|~wise(X))))&
((?[X]:((creative(X)<~>~brave(X))))=>((tall(susan)|~humble(susan))))&
((?[X]:((wise(X)&humble(X))))=>(?[... | kind(mary) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 37361061002871754594437
% SZS output start Proof for 37361061002871754594437
9. ! [X0] : ((rich(X0) | ~strong(X0)) <=> ~kind(X0)) [input p8]
13. ! [X0] : ((strong(X0) | ~funny(X0)) => (~brave(X0) & rich(X0))) [input p12]
24. kind(mary) [input hypothesis]
35. ! [X0] : ((~brave(X0) & rich(X... | 0 |
If someone is tall then fred is patient and vice versa.
If someone is both humble and not patient then someone is both not brave and kind.
If someone is either brave or creative then mary is not brave or not patient and vice versa.
If someone is both not curious and not quiet then someone is calm or not brave and vice ... | Mary is calm. | neutral | ((?[X]:(tall(X)))<=>(patient(fred)))&
((?[X]:((humble(X)&~patient(X))))=>(?[X]:((~brave(X)&kind(X)))))&
((?[X]:((brave(X)<~>creative(X))))<=>((~brave(mary)|~patient(mary))))&
((?[X]:((~curious(X)&~quiet(X))))<=>(?[X]:((calm(X)|~brave(X)))))&
(![X]:((~patient(X)<~>~generous(X))<=>~wise(X)))&
(![X]:((creative(X)|funny(X)... | calm(mary) | [] | null | 0 |
Everyone who is either wise or happy is either quiet or creative and vice versa.
If susan is not creative then someone is tall.
Everyone who is not kind is wise or not kind.
Everyone who is either humble or not creative is not brave or not rich.
If paul is either not creative or brave then susan is not curious.
Everyon... | Susan is tall. | neutral | (![X]:((wise(X)<~>happy(X))<=>(quiet(X)<~>creative(X))))&
((~creative(susan))=>(?[X]:(tall(X))))&
(![X]:(~kind(X)=>(wise(X)|~kind(X))))&
(![X]:((humble(X)<~>~creative(X))=>(~brave(X)|~rich(X))))&
(((~creative(paul)<~>brave(paul)))=>(~curious(susan)))&
(![X]:((~generous(X)<~>calm(X))=>(~kind(X)&calm(X))))&
(![X]:((quiet... | tall(susan) | [] | null | 0 |
Everyone who is either not quiet or funny is quiet and vice versa. Everyone who is strong is either wise or quiet and vice versa. Everyone who is either rich or not humble is both not old and generous and vice versa. Everyone who is curious or creative is either not generous or funny. If mary is not generous or funny t... | John is not curious. | entailment | (![X]:((~quiet(X)<~>funny(X))<=>quiet(X)))&
(![X]:(strong(X)<=>(wise(X)<~>quiet(X))))&
(![X]:((rich(X)<~>~humble(X))<=>(~old(X)&generous(X))))&
(![X]:((curious(X)|creative(X))=>(~generous(X)<~>funny(X))))&
(((~generous(mary)|funny(mary)))=>(?[X]:((rich(X)<~>old(X)))))&
(((curious(paul)|~brave(paul)))=>(?[X]:((strong(X)... | ~curious(john) | [
"p0",
"p3",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3329889129405820710283845
% SZS output start Proof for 3329889129405820710283845
1. ! [X0] : ((~quiet(X0) <~> funny(X0)) <=> quiet(X0)) [input p0]
4. ! [X0] : ((creative(X0) | curious(X0)) => (~generous(X0) <~> funny(X0))) [input p3]
10. ! [X0] : ((brave(X0) | ~calm(X0)) => (curious(X0) <... | 0 |
Everyone who is either generous or not old is either tall or patient. Everyone who is both kind and not humble is kind. If alice is curious or not quiet then mary is either not calm or creative. If lucy is both not curious and not tall then someone is both tall and kind. If someone is kind or not calm then someone is s... | Lucy is not brave. | contradiction | (![X]:((generous(X)<~>~old(X))=>(tall(X)<~>patient(X))))&
(![X]:((kind(X)&~humble(X))=>kind(X)))&
(((curious(alice)|~quiet(alice)))=>((~calm(mary)<~>creative(mary))))&
(((~curious(lucy)&~tall(lucy)))=>(?[X]:((tall(X)&kind(X)))))&
((?[X]:((kind(X)|~calm(X))))<=>(?[X]:((strong(X)|humble(X)))))&
(![X]:(generous(X)=>(~brav... | ~brave(lucy) | [
"p6",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8862139524442216615580418
% SZS output start Proof for 8862139524442216615580418
7. ! [X0] : ((~calm(X0) & ~wise(X0)) => (calm(X0) & ~rich(X0))) [input p6]
12. ! [X0] : ((kind(X0) | calm(X0)) => (humble(X0) & ~wise(X0))) [input p11]
13. ! [X0] : ((calm(X0) & ~kind(X0)) <=> (patient(X0) | ... | 0 |
If someone is both not old and not funny then someone is both brave and not generous.
If someone is either not patient or not funny then someone is both not strong and not happy and vice versa.
If someone is either brave or not tall then someone is not rich.
Everyone who is both patient and funny is generous and vice v... | Paul is not quiet. | entailment | ((?[X]:((~old(X)&~funny(X))))=>(?[X]:((brave(X)&~generous(X)))))&
((?[X]:((~patient(X)<~>~funny(X))))<=>(?[X]:((~strong(X)&~happy(X)))))&
((?[X]:((brave(X)<~>~tall(X))))=>(?[X]:(~rich(X))))&
(![X]:((patient(X)&funny(X))<=>generous(X)))&
(![X]:(~brave(X)=>(~creative(X)|~brave(X))))&
(((~tall(mary)<~>happy(mary)))=>(?[X]... | ~quiet(paul) | [
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2702606028376484511834563
% SZS output start Proof for 2702606028376484511834563
10. (calm(paul) & ~generous(paul)) <=> ? [X0] : (~quiet(X0) <~> old(X0)) [input p9]
13. ! [X0] : ((old(X0) & ~curious(X0)) <=> ~calm(X0)) [input p12]
15. ! [X0] : (calm(X0) <=> (~rich(X0) & rich(X0))) [input ... | 0 |
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