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 old is not creative or humble. If someone is not kind or not humble then someone is either quiet or not happy and vice versa. Everyone who is either not old or not quiet is not quiet or strong and vice versa. Everyone who is both not patient and not generous is not creative or not patient. Everyone ... | Lucy is rich. | contradiction | (![X]:(~old(X)=>(~creative(X)|humble(X))))&
((?[X]:((~kind(X)|~humble(X))))<=>(?[X]:((quiet(X)<~>~happy(X)))))&
(![X]:((~old(X)<~>~quiet(X))<=>(~quiet(X)|strong(X))))&
(![X]:((~patient(X)&~generous(X))=>(~creative(X)|~patient(X))))&
(![X]:((~happy(X)|~quiet(X))<=>(quiet(X)&tall(X))))&
(((kind(john)<~>humble(john)))<=>(... | rich(lucy) | [
"p4",
"p6",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 143583863226064964944824
% SZS output start Proof for 143583863226064964944824
5. ! [X0] : ((~quiet(X0) | ~happy(X0)) <=> (tall(X0) & quiet(X0))) [input p4]
7. ? [X0] : (~quiet(X0) & ~calm(X0)) <=> (funny(lucy) <~> wise(lucy)) [input p6]
10. ! [X0] : (rich(X0) => (strong(X0) & ~wise(X0)))... | 0 |
If someone is happy then someone is tall or humble.
Everyone who is quiet is either not rich or creative.
Everyone who is either funny or wise is either tall or not rich.
If mary is not strong then someone is not old or not funny and vice versa.
Everyone who is old or not humble is both patient and curious and vice ver... | Fred is not strong. | contradiction | ((?[X]:(happy(X)))=>(?[X]:((tall(X)|humble(X)))))&
(![X]:(quiet(X)=>(~rich(X)<~>creative(X))))&
(![X]:((funny(X)<~>wise(X))=>(tall(X)<~>~rich(X))))&
((~strong(mary))<=>(?[X]:((~old(X)|~funny(X)))))&
(![X]:((old(X)|~humble(X))<=>(patient(X)&curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((strong(X)&~generous(X)))))&
(![X]:(cu... | ~strong(fred) | [
"p4",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7782867202737070373554910
% SZS output start Proof for 7782867202737070373554910
5. ! [X0] : ((~humble(X0) | old(X0)) <=> (curious(X0) & patient(X0))) [input p4]
10. ! [X0] : (funny(X0) => old(X0)) [input p9]
12. ! [X0] : ((funny(X0) | strong(X0)) <=> (patient(X0) | ~patient(X0))) [input ... | 0 |
Everyone who is either patient or not quiet is either old or quiet.
Everyone who is quiet is not wise.
Everyone who is both not humble and kind is both not wise and strong and vice versa.
Everyone who is both not tall and calm is not happy or patient and vice versa.
If someone is not strong or humble then someone is ei... | Lucy is not generous. | neutral | (![X]:((patient(X)<~>~quiet(X))=>(old(X)<~>quiet(X))))&
(![X]:(quiet(X)=>~wise(X)))&
(![X]:((~humble(X)&kind(X))<=>(~wise(X)&strong(X))))&
(![X]:((~tall(X)&calm(X))<=>(~happy(X)|patient(X))))&
((?[X]:((~strong(X)|humble(X))))=>(?[X]:((~happy(X)<~>~humble(X)))))&
(![X]:(~humble(X)=>(happy(X)|~generous(X))))&
(((strong(j... | ~generous(lucy) | [] | null | 0 |
If someone is curious then alice is either rich or not happy.
If someone is not happy then mary is either brave or funny and vice versa.
If someone is both old and rich then someone is not wise or not humble and vice versa.
If paul is humble or kind then lucy is not happy.
Everyone who is calm or brave is either not ol... | Paul is humble. | contradiction | ((?[X]:(curious(X)))=>((rich(alice)<~>~happy(alice))))&
((?[X]:(~happy(X)))<=>((brave(mary)<~>funny(mary))))&
((?[X]:((old(X)&rich(X))))<=>(?[X]:((~wise(X)|~humble(X)))))&
(((humble(paul)|kind(paul)))=>(~happy(lucy)))&
(![X]:((calm(X)|brave(X))<=>(~old(X)<~>humble(X))))&
((?[X]:((~strong(X)<~>creative(X))))=>((brave(jo... | humble(paul) | [
"p1",
"p3",
"p8",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8433538676773741480450165
% SZS output start Proof for 8433538676773741480450165
2. ? [X0] : ~happy(X0) <=> (brave(mary) <~> funny(mary)) [input p1]
4. (kind(paul) | humble(paul)) => ~happy(lucy) [input p3]
9. ! [X0] : (wise(X0) <=> (~old(X0) | rich(X0))) [input p8]
10. ! [X0] : (wise(X0)... | 0 |
If someone is funny then someone is not happy. Everyone who is not creative is generous and vice versa. Everyone who is wise or old is both not kind and not wise and vice versa. If lucy is both not brave and not tall then someone is both not funny and not quiet and vice versa. Everyone who is humble is both not calm an... | Alice is humble. | entailment | ((?[X]:(funny(X)))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)<=>generous(X)))&
(![X]:((wise(X)|old(X))<=>(~kind(X)&~wise(X))))&
(((~brave(lucy)&~tall(lucy)))<=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(humble(X)=>(~calm(X)&~quiet(X))))&
((?[X]:((~rich(X)|happy(X))))<=>(quiet(susan)))&
(((~old(john)|strong(john)))=>(?[X]:(... | humble(alice) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5317432141870076081586624
% SZS output start Proof for 5317432141870076081586624
3. ! [X0] : ((old(X0) | wise(X0)) <=> (~wise(X0) & ~kind(X0))) [input p2]
9. ! [X0] : (~wise(X0) => humble(X0)) [input p8]
21. ~humble(alice) [input hypothesis]
31. ! [X0] : (humble(X0) | wise(X0)) [ennf tran... | 0 |
If someone is either not calm or rich then lucy is not quiet or not creative.
If someone is humble then someone is not quiet or not calm.
Everyone who is either not rich or quiet is not generous.
Everyone who is funny is not humble or wise and vice versa.
If john is happy or calm then someone is either not tall or funn... | Paul is not tall. | neutral | ((?[X]:((~calm(X)<~>rich(X))))=>((~quiet(lucy)|~creative(lucy))))&
((?[X]:(humble(X)))=>(?[X]:((~quiet(X)|~calm(X)))))&
(![X]:((~rich(X)<~>quiet(X))=>~generous(X)))&
(![X]:(funny(X)<=>(~humble(X)|wise(X))))&
(((happy(john)|calm(john)))=>(?[X]:((~tall(X)<~>funny(X)))))&
(((generous(john)<~>~kind(john)))<=>((rich(mary)|g... | ~tall(paul) | [] | null | 0 |
Everyone who is either tall or not rich is either patient or rich and vice versa.
Everyone who is rich is brave.
If someone is either tall or not generous then susan is both not rich and not funny and vice versa.
Everyone who is tall or kind is both rich and not calm and vice versa.
Everyone who is humble or patient is... | Susan is not calm. | entailment | (![X]:((tall(X)<~>~rich(X))<=>(patient(X)<~>rich(X))))&
(![X]:(rich(X)=>brave(X)))&
((?[X]:((tall(X)<~>~generous(X))))<=>((~rich(susan)&~funny(susan))))&
(![X]:((tall(X)|kind(X))<=>(rich(X)&~calm(X))))&
(![X]:((humble(X)|patient(X))<=>funny(X)))&
(![X]:((~generous(X)|~happy(X))=>(~rich(X)|~funny(X))))&
(((quiet(alice)|... | ~calm(susan) | [
"p1",
"p3",
"p7",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8964013209784487894484321
% SZS output start Proof for 8964013209784487894484321
2. ! [X0] : (rich(X0) => brave(X0)) [input p1]
4. ! [X0] : ((kind(X0) | tall(X0)) <=> (~calm(X0) & rich(X0))) [input p3]
8. ? [X0] : (~old(X0) <~> happy(X0)) <=> ? [X0] : (~kind(X0) <~> ~brave(X0)) [input p7]... | 0 |
Everyone who is either not rich or not curious is either not funny or wise. If susan is either strong or not wise then someone is either happy or not quiet and vice versa. If mary is not brave then someone is both strong and humble. Everyone who is not tall is both tall and not rich and vice versa. If mary is brave or ... | Susan is funny. | contradiction | (![X]:((~rich(X)<~>~curious(X))=>(~funny(X)<~>wise(X))))&
(((strong(susan)<~>~wise(susan)))<=>(?[X]:((happy(X)<~>~quiet(X)))))&
((~brave(mary))=>(?[X]:((strong(X)&humble(X)))))&
(![X]:(~tall(X)<=>(tall(X)&~rich(X))))&
(((brave(mary)|kind(mary)))<=>((~rich(fred)|generous(fred))))&
(![X]:((~tall(X)|wise(X))<=>~patient(X)... | funny(susan) | [
"p0",
"p3",
"p6",
"p10",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6808904093978937138632070
% SZS output start Proof for 6808904093978937138632070
1. ! [X0] : ((~rich(X0) <~> ~curious(X0)) => (~funny(X0) <~> wise(X0))) [input p0]
4. ! [X0] : (~tall(X0) <=> (~rich(X0) & tall(X0))) [input p3]
7. ! [X0] : ((~brave(X0) & funny(X0)) <=> (~kind(X0) <~> curiou... | 0 |
Everyone who is not wise or not old is both rich and not wise and vice versa.
If john is not brave or not kind then alice is either not humble or not kind.
Everyone who is humble or creative is either not humble or brave.
Everyone who is not creative or creative is funny.
If someone is patient then someone is both not ... | Lucy is not creative. | neutral | (![X]:((~wise(X)|~old(X))<=>(rich(X)&~wise(X))))&
(((~brave(john)|~kind(john)))=>((~humble(alice)<~>~kind(alice))))&
(![X]:((humble(X)|creative(X))=>(~humble(X)<~>brave(X))))&
(![X]:((~creative(X)|creative(X))=>funny(X)))&
((?[X]:(patient(X)))<=>(?[X]:((~curious(X)&~generous(X)))))&
((?[X]:((brave(X)&~old(X))))=>(?[X]:... | ~creative(lucy) | [] | null | 0 |
If someone is creative or not rich then someone is both not tall and humble and vice versa. If mary is not quiet or kind then susan is not humble or humble and vice versa. Everyone who is either not wise or not old is both patient and rich and vice versa. Everyone who is generous or not creative is either not curious o... | Alice is not generous. | entailment | ((?[X]:((creative(X)|~rich(X))))<=>(?[X]:((~tall(X)&humble(X)))))&
(((~quiet(mary)|kind(mary)))<=>((~humble(susan)|humble(susan))))&
(![X]:((~wise(X)<~>~old(X))<=>(patient(X)&rich(X))))&
(![X]:((generous(X)|~creative(X))<=>(~curious(X)<~>~brave(X))))&
(![X]:(wise(X)<=>(~calm(X)|funny(X))))&
((?[X]:((~strong(X)&brave(X)... | ~generous(alice) | [
"p4",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4823253732318967409605799
% SZS output start Proof for 4823253732318967409605799
5. ! [X0] : (wise(X0) <=> (funny(X0) | ~calm(X0))) [input p4]
16. ! [X0] : ((~wise(X0) & funny(X0)) <=> (generous(X0) | ~creative(X0))) [input p15]
19. funny(alice) [input p18]
23. generous(alice) [input hypo... | 0 |
If someone is generous or not wise then someone is either quiet or not strong and vice versa.
Everyone who is not humble is either not patient or not generous.
If lucy is both not rich and strong then lucy is either not strong or not generous.
Everyone who is not wise or not tall is not rich or patient.
If someone is h... | Alice is rich. | contradiction | ((?[X]:((generous(X)|~wise(X))))<=>(?[X]:((quiet(X)<~>~strong(X)))))&
(![X]:(~humble(X)=>(~patient(X)<~>~generous(X))))&
(((~rich(lucy)&strong(lucy)))=>((~strong(lucy)<~>~generous(lucy))))&
(![X]:((~wise(X)|~tall(X))=>(~rich(X)|patient(X))))&
((?[X]:((humble(X)|~tall(X))))<=>(?[X]:((~wise(X)&old(X)))))&
(((wise(mary)<~... | rich(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8124838546951579192334265
% SZS output start Proof for 8124838546951579192334265
17. funny(alice) & ~rich(alice) [input p16]
25. rich(alice) [input hypothesis]
137. ~rich(alice) [cnf transformation 17]
148. rich(alice) [cnf transformation 25]
402. $false [subsumption resolution 148,137]
%... | 0 |
Everyone who is not brave or wise is both not strong and not funny and vice versa. Everyone who is not tall is both tall and not old. If someone is either not old or not curious then mary is not quiet or not strong. If john is both humble and not wise then paul is either kind or curious. Everyone who is not funny is ei... | Alice is creative. | neutral | (![X]:((~brave(X)|wise(X))<=>(~strong(X)&~funny(X))))&
(![X]:(~tall(X)=>(tall(X)&~old(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>((~quiet(mary)|~strong(mary))))&
(((humble(john)&~wise(john)))=>((kind(paul)<~>curious(paul))))&
(![X]:(~funny(X)=>(happy(X)<~>~old(X))))&
(![X]:((~patient(X)<~>calm(X))=>(~creative(X)<~>~wise... | creative(alice) | [] | null | 0 |
If someone is not strong then paul is not wise and vice versa.
Everyone who is not wise is either not calm or not rich and vice versa.
Everyone who is not strong or curious is not funny or funny.
If someone is either tall or quiet then someone is not curious or kind and vice versa.
Everyone who is tall is creative or g... | Susan is not curious. | entailment | ((?[X]:(~strong(X)))<=>(~wise(paul)))&
(![X]:(~wise(X)<=>(~calm(X)<~>~rich(X))))&
(![X]:((~strong(X)|curious(X))=>(~funny(X)|funny(X))))&
((?[X]:((tall(X)<~>quiet(X))))<=>(?[X]:((~curious(X)|kind(X)))))&
(![X]:(tall(X)=>(creative(X)|generous(X))))&
((?[X]:((patient(X)&tall(X))))=>((~old(paul)<~>~strong(paul))))&
(((~wi... | ~curious(susan) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8660756099026035794299290
% SZS output start Proof for 8660756099026035794299290
14. ! [X0] : ((funny(X0) | ~kind(X0)) <=> (funny(X0) & ~curious(X0))) [input p13]
16. ! [X0] : (funny(X0) <=> kind(X0)) [input p15]
24. curious(susan) [input hypothesis]
63. ! [X0] : (((funny(X0) | ~kind(X0))... | 0 |
If paul is both quiet and curious then someone is not old or patient and vice versa.
If someone is not curious then paul is both creative and old and vice versa.
If susan is either not humble or not generous then fred is not wise or wise.
If someone is not brave then alice is not happy and vice versa.
Everyone who is n... | Mary is humble. | entailment | (((quiet(paul)&curious(paul)))<=>(?[X]:((~old(X)|patient(X)))))&
((?[X]:(~curious(X)))<=>((creative(paul)&old(paul))))&
(((~humble(susan)<~>~generous(susan)))=>((~wise(fred)|wise(fred))))&
((?[X]:(~brave(X)))<=>(~happy(alice)))&
(![X]:((~strong(X)|~old(X))=>~creative(X)))&
(![X]:((curious(X)<~>creative(X))<=>(~old(X)<~... | humble(mary) | [
"p3",
"p4",
"p12",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6672525206232517425622689
% SZS output start Proof for 6672525206232517425622689
4. ? [X0] : ~brave(X0) <=> ~happy(alice) [input p3]
5. ! [X0] : ((~old(X0) | ~strong(X0)) => ~creative(X0)) [input p4]
13. ! [X0] : (~humble(X0) <=> (~brave(X0) & happy(X0))) [input p12]
15. ! [X0] : ((~quiet... | 0 |
Everyone who is creative or not curious is both not old and not generous and vice versa. Everyone who is both calm and not patient is both not patient and not wise. Everyone who is either old or humble is either not creative or happy. If someone is generous or not calm then paul is calm. Everyone who is either not brav... | Paul is kind. | neutral | (![X]:((creative(X)|~curious(X))<=>(~old(X)&~generous(X))))&
(![X]:((calm(X)&~patient(X))=>(~patient(X)&~wise(X))))&
(![X]:((old(X)<~>humble(X))=>(~creative(X)<~>happy(X))))&
((?[X]:((generous(X)|~calm(X))))=>(calm(paul)))&
(![X]:((~brave(X)<~>~rich(X))<=>~funny(X)))&
(![X]:(funny(X)<=>tall(X)))&
(((~wise(alice)|strong... | kind(paul) | [] | null | 0 |
Everyone who is either calm or not tall is curious or kind.
Everyone who is both not wise and patient is either not wise or not quiet and vice versa.
If someone is not humble or happy then lucy is not happy or curious and vice versa.
If someone is either not kind or not creative then someone is not humble or old.
Every... | Alice is not rich. | contradiction | (![X]:((calm(X)<~>~tall(X))=>(curious(X)|kind(X))))&
(![X]:((~wise(X)&patient(X))<=>(~wise(X)<~>~quiet(X))))&
((?[X]:((~humble(X)|happy(X))))<=>((~happy(lucy)|curious(lucy))))&
((?[X]:((~kind(X)<~>~creative(X))))=>(?[X]:((~humble(X)|old(X)))))&
(![X]:(~curious(X)<=>(quiet(X)<~>kind(X))))&
(![X]:(kind(X)=>(~calm(X)|~ric... | ~rich(alice) | [
"p1",
"p6",
"p10",
"p11",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6989324802901887859203140
% SZS output start Proof for 6989324802901887859203140
2. ! [X0] : ((patient(X0) & ~wise(X0)) <=> (~wise(X0) <~> ~quiet(X0))) [input p1]
7. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (curious(X0) | kind(X0))) [input p6]
11. ! [X0] : ((tall(X0) <~> patient(X0)) =>... | 0 |
Everyone who is not strong is either not tall or strong and vice versa. Everyone who is either generous or humble is both not old and not patient and vice versa. If someone is not happy then someone is either not calm or not strong. Everyone who is not wise or happy is both not strong and not humble and vice versa. If ... | Alice is not humble. | neutral | (![X]:(~strong(X)<=>(~tall(X)<~>strong(X))))&
(![X]:((generous(X)<~>humble(X))<=>(~old(X)&~patient(X))))&
((?[X]:(~happy(X)))=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:((~wise(X)|happy(X))<=>(~strong(X)&~humble(X))))&
(((~creative(john)<~>humble(john)))=>((~kind(paul)|tall(paul))))&
((?[X]:((~funny(X)<~>~happy(X))))=>(... | ~humble(alice) | [] | null | 0 |
If someone is not calm or rich then someone is both not rich and not old and vice versa. If someone is not brave then fred is not tall. Everyone who is either rich or not generous is not humble or not calm. If fred is either not creative or not happy then someone is not creative and vice versa. Everyone who is not stro... | Mary is strong. | entailment | ((?[X]:((~calm(X)|rich(X))))<=>(?[X]:((~rich(X)&~old(X)))))&
((?[X]:(~brave(X)))=>(~tall(fred)))&
(![X]:((rich(X)<~>~generous(X))=>(~humble(X)|~calm(X))))&
(((~creative(fred)<~>~happy(fred)))<=>(?[X]:(~creative(X))))&
(![X]:(~strong(X)=>strong(X)))&
(![X]:((~kind(X)|humble(X))=>(~tall(X)<~>funny(X))))&
(((~happy(fred)<... | strong(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 152004530337344127273886
% SZS output start Proof for 152004530337344127273886
5. ! [X0] : (~strong(X0) => strong(X0)) [input p4]
25. ~strong(mary) [input hypothesis]
36. ! [X0] : (strong(X0) | strong(X0)) [ennf transformation 5]
96. strong(X0) | strong(X0) [cnf transformation 36]
132. ~s... | 0 |
Everyone who is not happy or quiet is both not old and quiet and vice versa.
Everyone who is creative is not humble.
If mary is either not brave or strong then someone is quiet.
Everyone who is either not brave or strong is either not generous or funny.
Everyone who is both humble and not strong is either humble or bra... | Lucy is not generous. | contradiction | (![X]:((~happy(X)|quiet(X))<=>(~old(X)&quiet(X))))&
(![X]:(creative(X)=>~humble(X)))&
(((~brave(mary)<~>strong(mary)))=>(?[X]:(quiet(X))))&
(![X]:((~brave(X)<~>strong(X))=>(~generous(X)<~>funny(X))))&
(![X]:((humble(X)&~strong(X))=>(humble(X)<~>brave(X))))&
(((~happy(paul)<~>~rich(paul)))<=>((generous(lucy)&humble(lucy... | ~generous(lucy) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6404932369750028368981280
% SZS output start Proof for 6404932369750028368981280
10. ! [X0] : (patient(X0) <=> (generous(X0) & ~tall(X0))) [input p9]
13. ! [X0] : ((wise(X0) | ~generous(X0)) <=> (patient(X0) & ~quiet(X0))) [input p12]
24. ~generous(lucy) [input hypothesis]
52. ! [X0] : ((... | 0 |
If someone is not funny or happy then mary is either not brave or old. If someone is not rich or not tall then mary is not old. If someone is both generous and not old then lucy is either not curious or not generous. Everyone who is either tall or kind is either kind or not kind and vice versa. Everyone who is either p... | Mary is kind. | entailment | ((?[X]:((~funny(X)|happy(X))))=>((~brave(mary)<~>old(mary))))&
((?[X]:((~rich(X)|~tall(X))))=>(~old(mary)))&
((?[X]:((generous(X)&~old(X))))=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)<~>kind(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~patient(X)|old(X))))&
(![X]:((calm(X)<~>~strong(X... | kind(mary) | [
"p1",
"p3",
"p4",
"p5",
"p8",
"p12",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8812352698320068604556018
% SZS output start Proof for 8812352698320068604556018
2. ? [X0] : (~tall(X0) | ~rich(X0)) => ~old(mary) [input p1]
4. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p3]
5. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (old(X0) | ~patient(X0... | 0 |
Everyone who is happy or wise is not rich or humble.
Everyone who is not calm is not old and vice versa.
Everyone who is either not brave or kind is both kind and strong.
If someone is either generous or not humble then alice is both not wise and not tall.
Everyone who is either generous or kind is either not quiet or ... | Paul is old. | entailment | (![X]:((happy(X)|wise(X))=>(~rich(X)|humble(X))))&
(![X]:(~calm(X)<=>~old(X)))&
(![X]:((~brave(X)<~>kind(X))=>(kind(X)&strong(X))))&
((?[X]:((generous(X)<~>~humble(X))))=>((~wise(alice)&~tall(alice))))&
(![X]:((generous(X)<~>kind(X))=>(~quiet(X)<~>~funny(X))))&
((?[X]:((~wise(X)|patient(X))))=>(?[X]:((brave(X)<~>~tall(... | old(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4180164403629372184856032
% SZS output start Proof for 4180164403629372184856032
15. ! [X0] : (old(X0) <=> (humble(X0) <~> ~humble(X0))) [input p14]
24. ~old(paul) [input hypothesis]
61. ! [X0] : ((old(X0) | ((humble(X0) | humble(X0)) & (~humble(X0) | ~humble(X0)))) & (((humble(X0) | ~hum... | 0 |
If someone is not tall then paul is not old or not strong and vice versa.
Everyone who is both funny and not funny is both not kind and happy and vice versa.
If alice is not quiet then someone is either not funny or curious and vice versa.
Everyone who is either happy or not funny is happy or not creative and vice vers... | Paul is not quiet. | neutral | ((?[X]:(~tall(X)))<=>((~old(paul)|~strong(paul))))&
(![X]:((funny(X)&~funny(X))<=>(~kind(X)&happy(X))))&
((~quiet(alice))<=>(?[X]:((~funny(X)<~>curious(X)))))&
(![X]:((happy(X)<~>~funny(X))<=>(happy(X)|~creative(X))))&
(![X]:((~creative(X)&~patient(X))=>~old(X)))&
((happy(alice))=>(?[X]:((~funny(X)&~old(X)))))&
((?[X]:... | ~quiet(paul) | [] | null | 0 |
If alice is funny then someone is not kind and vice versa. Everyone who is not kind is both old and not calm and vice versa. Everyone who is not strong is either not funny or happy. Everyone who is both creative and happy is both kind and brave and vice versa. If someone is either not quiet or old then someone is both ... | Susan is not rich. | neutral | ((funny(alice))<=>(?[X]:(~kind(X))))&
(![X]:(~kind(X)<=>(old(X)&~calm(X))))&
(![X]:(~strong(X)=>(~funny(X)<~>happy(X))))&
(![X]:((creative(X)&happy(X))<=>(kind(X)&brave(X))))&
((?[X]:((~quiet(X)<~>old(X))))=>(?[X]:((~old(X)&curious(X)))))&
(((tall(lucy)&~calm(lucy)))=>(?[X]:(~brave(X))))&
(((~old(susan)&patient(susan))... | ~rich(susan) | [] | null | 0 |
Everyone who is not strong or not calm is both calm and quiet. If fred is both not curious and patient then lucy is either not brave or generous. Everyone who is either rich or wise is curious. If fred is patient or not humble then susan is both not curious and not funny and vice versa. Everyone who is both generous an... | Mary is wise. | contradiction | (![X]:((~strong(X)|~calm(X))=>(calm(X)&quiet(X))))&
(((~curious(fred)&patient(fred)))=>((~brave(lucy)<~>generous(lucy))))&
(![X]:((rich(X)<~>wise(X))=>curious(X)))&
(((patient(fred)|~humble(fred)))<=>((~curious(susan)&~funny(susan))))&
(![X]:((generous(X)&wise(X))<=>(~quiet(X)|~generous(X))))&
((?[X]:((~calm(X)|calm(X)... | wise(mary) | [
"p0",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4578150876974158713102241
% SZS output start Proof for 4578150876974158713102241
1. ! [X0] : ((~calm(X0) | ~strong(X0)) => (quiet(X0) & calm(X0))) [input p0]
5. ! [X0] : ((wise(X0) & generous(X0)) <=> (~generous(X0) | ~quiet(X0))) [input p4]
6. ? [X0] : (calm(X0) | ~calm(X0)) <=> ~strong(... | 0 |
Everyone who is happy is not strong or not wise.
Everyone who is not tall or not old is kind and vice versa.
If someone is happy then alice is both not tall and not calm.
Everyone who is happy is both not generous and not patient.
Everyone who is not kind or not strong is either calm or rich.
Everyone who is not happy ... | Fred is not curious. | neutral | (![X]:(happy(X)=>(~strong(X)|~wise(X))))&
(![X]:((~tall(X)|~old(X))<=>kind(X)))&
((?[X]:(happy(X)))=>((~tall(alice)&~calm(alice))))&
(![X]:(happy(X)=>(~generous(X)&~patient(X))))&
(![X]:((~kind(X)|~strong(X))=>(calm(X)<~>rich(X))))&
(![X]:((~happy(X)|~tall(X))<=>(rich(X)&creative(X))))&
(![X]:((tall(X)<~>generous(X))=>... | ~curious(fred) | [] | null | 0 |
If someone is either not rich or patient then alice is curious.
Everyone who is not rich is tall or not calm and vice versa.
Everyone who is not happy or not strong is both not funny and strong.
Everyone who is not curious is strong or quiet and vice versa.
Everyone who is not patient is either kind or creative and vic... | Paul is not kind. | neutral | ((?[X]:((~rich(X)<~>patient(X))))=>(curious(alice)))&
(![X]:(~rich(X)<=>(tall(X)|~calm(X))))&
(![X]:((~happy(X)|~strong(X))=>(~funny(X)&strong(X))))&
(![X]:(~curious(X)<=>(strong(X)|quiet(X))))&
(![X]:(~patient(X)<=>(kind(X)<~>creative(X))))&
(((~generous(paul)|~tall(paul)))<=>((~wise(paul)|humble(paul))))&
(![X]:((kin... | ~kind(paul) | [] | null | 0 |
If mary is either not humble or not rich then lucy is both not kind and wise. Everyone who is calm is creative or not generous. Everyone who is both not funny and old is either wise or not humble and vice versa. If mary is funny then someone is not happy and vice versa. Everyone who is not calm is either not wise or no... | John is not tall. | entailment | (((~humble(mary)<~>~rich(mary)))=>((~kind(lucy)&wise(lucy))))&
(![X]:(calm(X)=>(creative(X)|~generous(X))))&
(![X]:((~funny(X)&old(X))<=>(wise(X)<~>~humble(X))))&
((funny(mary))<=>(?[X]:(~happy(X))))&
(![X]:(~calm(X)=>(~wise(X)<~>~brave(X))))&
(((~wise(john)|generous(john)))=>(~strong(fred)))&
((~rich(fred))<=>((calm(f... | ~tall(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3199821761629632985148589
% SZS output start Proof for 3199821761629632985148589
13. ? [X0] : (strong(X0) <~> ~strong(X0)) => (~tall(john) & ~kind(john)) [input p12]
24. tall(john) [input hypothesis]
33. (~tall(john) & ~kind(john)) | ! [X0] : (strong(X0) <=> ~strong(X0)) [ennf transformat... | 0 |
Everyone who is both rich and happy is either generous or quiet and vice versa. Everyone who is both funny and not generous is both tall and humble and vice versa. If paul is not humble or wise then alice is not patient and vice versa. If mary is either humble or patient then someone is either creative or generous and ... | Mary is not old. | neutral | (![X]:((rich(X)&happy(X))<=>(generous(X)<~>quiet(X))))&
(![X]:((funny(X)&~generous(X))<=>(tall(X)&humble(X))))&
(((~humble(paul)|wise(paul)))<=>(~patient(alice)))&
(((humble(mary)<~>patient(mary)))<=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:((~tall(X)<~>tall(X))=>(humble(X)&creative(X))))&
(![X]:(~kind(X)=>(brave(X... | ~old(mary) | [] | null | 0 |
If someone is both curious and not old then someone is wise and vice versa.
Everyone who is either not wise or not rich is not tall and vice versa.
If someone is either not creative or humble then someone is both not funny and patient and vice versa.
Everyone who is either not generous or not brave is not generous or h... | John is not tall. | entailment | ((?[X]:((curious(X)&~old(X))))<=>(?[X]:(wise(X))))&
(![X]:((~wise(X)<~>~rich(X))<=>~tall(X)))&
((?[X]:((~creative(X)<~>humble(X))))<=>(?[X]:((~funny(X)&patient(X)))))&
(![X]:((~generous(X)<~>~brave(X))<=>(~generous(X)|happy(X))))&
((?[X]:((old(X)&generous(X))))<=>(wise(susan)))&
(![X]:((curious(X)|~curious(X))=>(~happy... | ~tall(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 690911352192249500354742
% SZS output start Proof for 690911352192249500354742
23. happy(john) & ~tall(john) [input p22]
25. tall(john) [input hypothesis]
150. ~tall(john) [cnf transformation 23]
153. tall(john) [cnf transformation 25]
328. $false [subsumption resolution 153,150]
% SZS ou... | 0 |
If someone is funny then paul is creative or not humble.
Everyone who is either kind or not patient is either creative or not rich and vice versa.
Everyone who is quiet is not curious or not happy and vice versa.
Everyone who is either tall or not tall is both patient and not generous and vice versa.
Everyone who is ei... | Paul is humble. | entailment | ((?[X]:(funny(X)))=>((creative(paul)|~humble(paul))))&
(![X]:((kind(X)<~>~patient(X))<=>(creative(X)<~>~rich(X))))&
(![X]:(quiet(X)<=>(~curious(X)|~happy(X))))&
(![X]:((tall(X)<~>~tall(X))<=>(patient(X)&~generous(X))))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~humble(X)&~generous(X))))&
(![X]:(~humble(X)<=>(~patient(X)&~wise(... | humble(paul) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1311292781680901556734813
% SZS output start Proof for 1311292781680901556734813
4. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (~generous(X0) & patient(X0))) [input p3]
6. ! [X0] : (~humble(X0) <=> (~wise(X0) & ~patient(X0))) [input p5]
23. ~humble(paul) [input hypothesis]
37. ! [X0] : ((((ta... | 0 |
Everyone who is not humble is both not quiet and kind.
If fred is both not wise and funny then someone is wise and vice versa.
If someone is tall or not happy then someone is quiet or rich.
Everyone who is both not rich and not happy is rich or not wise and vice versa.
Everyone who is either creative or not rich is qui... | Lucy is not rich. | entailment | (![X]:(~humble(X)=>(~quiet(X)&kind(X))))&
(((~wise(fred)&funny(fred)))<=>(?[X]:(wise(X))))&
((?[X]:((tall(X)|~happy(X))))=>(?[X]:((quiet(X)|rich(X)))))&
(![X]:((~rich(X)&~happy(X))<=>(rich(X)|~wise(X))))&
(![X]:((creative(X)<~>~rich(X))<=>(quiet(X)|~humble(X))))&
(((kind(mary)&old(mary)))=>((curious(susan)|~quiet(susan... | ~rich(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 831379524916349851266814
% SZS output start Proof for 831379524916349851266814
4. ! [X0] : ((~happy(X0) & ~rich(X0)) <=> (~wise(X0) | rich(X0))) [input p3]
25. rich(lucy) [input hypothesis]
46. ! [X0] : (((~happy(X0) & ~rich(X0)) | (wise(X0) & ~rich(X0))) & ((~wise(X0) | rich(X0)) | (happ... | 0 |
Everyone who is either not quiet or brave is strong or humble and vice versa. Everyone who is both not happy and curious is both curious and happy and vice versa. Everyone who is not humble or creative is generous. If someone is either not curious or calm then someone is tall or not wise and vice versa. If someone is c... | Alice is not kind. | neutral | (![X]:((~quiet(X)<~>brave(X))<=>(strong(X)|humble(X))))&
(![X]:((~happy(X)&curious(X))<=>(curious(X)&happy(X))))&
(![X]:((~humble(X)|creative(X))=>generous(X)))&
((?[X]:((~curious(X)<~>calm(X))))<=>(?[X]:((tall(X)|~wise(X)))))&
((?[X]:(curious(X)))=>(?[X]:((~strong(X)&kind(X)))))&
(((~rich(lucy)<~>creative(lucy)))=>((r... | ~kind(alice) | [] | null | 0 |
Everyone who is not humble or brave is not quiet or not humble.
If paul is both not generous and rich then john is either not kind or calm.
Everyone who is not calm is wise or creative and vice versa.
If someone is either not patient or not kind then fred is tall.
Everyone who is both humble and kind is both not funny ... | Fred is not quiet. | neutral | (![X]:((~humble(X)|brave(X))=>(~quiet(X)|~humble(X))))&
(((~generous(paul)&rich(paul)))=>((~kind(john)<~>calm(john))))&
(![X]:(~calm(X)<=>(wise(X)|creative(X))))&
((?[X]:((~patient(X)<~>~kind(X))))=>(tall(fred)))&
(![X]:((humble(X)&kind(X))<=>(~funny(X)&tall(X))))&
(![X]:((old(X)&~old(X))<=>(rich(X)&funny(X))))&
((?[X]... | ~quiet(fred) | [] | null | 0 |
If fred is not patient then someone is creative and vice versa.
If fred is either kind or quiet then someone is not happy and vice versa.
Everyone who is not kind or not brave is brave and vice versa.
Everyone who is funny is humble and vice versa.
If lucy is both humble and not generous then paul is not old.
Everyone ... | Lucy is not tall. | neutral | ((~patient(fred))<=>(?[X]:(creative(X))))&
(((kind(fred)<~>quiet(fred)))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)|~brave(X))<=>brave(X)))&
(![X]:(funny(X)<=>humble(X)))&
(((humble(lucy)&~generous(lucy)))=>(~old(paul)))&
(![X]:((~rich(X)|calm(X))=>(old(X)<~>tall(X))))&
(![X]:(~calm(X)=>(~tall(X)<~>quiet(X))))&
((?[X]:((~... | ~tall(lucy) | [] | null | 0 |
If someone is happy then someone is tall or humble.
Everyone who is quiet is either not rich or creative.
Everyone who is either funny or wise is either tall or not rich.
If mary is not strong then someone is not old or not funny and vice versa.
Everyone who is old or not humble is both patient and curious and vice ver... | Mary is not curious. | contradiction | ((?[X]:(happy(X)))=>(?[X]:((tall(X)|humble(X)))))&
(![X]:(quiet(X)=>(~rich(X)<~>creative(X))))&
(![X]:((funny(X)<~>wise(X))=>(tall(X)<~>~rich(X))))&
((~strong(mary))<=>(?[X]:((~old(X)|~funny(X)))))&
(![X]:((old(X)|~humble(X))<=>(patient(X)&curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((strong(X)&~generous(X)))))&
(![X]:(cu... | ~curious(mary) | [
"p3",
"p4",
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 67387796287827732630626
% SZS output start Proof for 67387796287827732630626
4. ~strong(mary) <=> ? [X0] : (~funny(X0) | ~old(X0)) [input p3]
5. ! [X0] : ((~humble(X0) | old(X0)) <=> (curious(X0) & patient(X0))) [input p4]
7. ! [X0] : (curious(X0) <=> (~strong(X0) | wise(X0))) [input p6]
... | 0 |
Everyone who is not happy is patient and vice versa. Everyone who is quiet or patient is both creative and not funny. Everyone who is both calm and not curious is either wise or not kind and vice versa. Everyone who is generous is both quiet and funny. Everyone who is not old or not funny is not creative or happy. Ever... | Alice is wise. | contradiction | (![X]:(~happy(X)<=>patient(X)))&
(![X]:((quiet(X)|patient(X))=>(creative(X)&~funny(X))))&
(![X]:((calm(X)&~curious(X))<=>(wise(X)<~>~kind(X))))&
(![X]:(generous(X)=>(quiet(X)&funny(X))))&
(![X]:((~old(X)|~funny(X))=>(~creative(X)|happy(X))))&
(![X]:((~patient(X)&~wise(X))<=>(creative(X)&brave(X))))&
((?[X]:((~strong(X)... | wise(alice) | [
"p0",
"p1",
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4869624452311691913819848
% SZS output start Proof for 4869624452311691913819848
1. ! [X0] : (~happy(X0) <=> patient(X0)) [input p0]
2. ! [X0] : ((patient(X0) | quiet(X0)) => (~funny(X0) & creative(X0))) [input p1]
5. ! [X0] : ((~funny(X0) | ~old(X0)) => (happy(X0) | ~creative(X0))) [inpu... | 0 |
Everyone who is tall or not old is both calm and brave.
Everyone who is happy or not kind is not rich and vice versa.
Everyone who is both happy and not old is not calm and vice versa.
Everyone who is happy is both not creative and brave and vice versa.
If john is either not kind or calm then someone is rich and vice v... | John is not kind. | entailment | (![X]:((tall(X)|~old(X))=>(calm(X)&brave(X))))&
(![X]:((happy(X)|~kind(X))<=>~rich(X)))&
(![X]:((happy(X)&~old(X))<=>~calm(X)))&
(![X]:(happy(X)<=>(~creative(X)&brave(X))))&
(((~kind(john)<~>calm(john)))<=>(?[X]:(rich(X))))&
(![X]:((creative(X)|~calm(X))<=>(funny(X)|brave(X))))&
(![X]:(~happy(X)=>(~calm(X)<~>~humble(X)... | ~kind(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3891102143708434278169477
% SZS output start Proof for 3891102143708434278169477
1. ! [X0] : ((~old(X0) | tall(X0)) => (brave(X0) & calm(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | happy(X0)) <=> ~rich(X0)) [input p1]
3. ! [X0] : ((~old(X0) & happy(X0)) <=> ~calm(X0)) [input p2]
4. ! [X0] ... | 0 |
If someone is both not calm and not wise then lucy is not quiet. Everyone who is both quiet and not happy is not calm and vice versa. Everyone who is not humble is not curious or calm and vice versa. Everyone who is not funny is both funny and not old. Everyone who is both not curious and not generous is either old or ... | Lucy is not calm. | contradiction | ((?[X]:((~calm(X)&~wise(X))))=>(~quiet(lucy)))&
(![X]:((quiet(X)&~happy(X))<=>~calm(X)))&
(![X]:(~humble(X)<=>(~curious(X)|calm(X))))&
(![X]:(~funny(X)=>(funny(X)&~old(X))))&
(![X]:((~curious(X)&~generous(X))<=>(old(X)<~>~rich(X))))&
((?[X]:((~humble(X)<~>brave(X))))<=>(?[X]:((curious(X)&~creative(X)))))&
(![X]:(~brave... | ~calm(lucy) | [
"p0",
"p1",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 68318822148384023383693
% SZS output start Proof for 68318822148384023383693
1. ? [X0] : (~wise(X0) & ~calm(X0)) => ~quiet(lucy) [input p0]
2. ! [X0] : ((~happy(X0) & quiet(X0)) <=> ~calm(X0)) [input p1]
10. ! [X0] : ((humble(X0) <~> ~wise(X0)) <=> (~humble(X0) | ~rich(X0))) [input p9]
21... | 0 |
If someone is both brave and not brave then susan is not tall.
Everyone who is either humble or calm is not creative or generous and vice versa.
Everyone who is either not happy or calm is brave and vice versa.
Everyone who is curious or not rich is both not wise and not old.
Everyone who is not generous or generous is... | Mary is not happy. | neutral | ((?[X]:((brave(X)&~brave(X))))=>(~tall(susan)))&
(![X]:((humble(X)<~>calm(X))<=>(~creative(X)|generous(X))))&
(![X]:((~happy(X)<~>calm(X))<=>brave(X)))&
(![X]:((curious(X)|~rich(X))=>(~wise(X)&~old(X))))&
(![X]:((~generous(X)|generous(X))<=>(~calm(X)&~creative(X))))&
(![X]:((~patient(X)<~>funny(X))<=>(~curious(X)&~kind... | ~happy(mary) | [] | null | 0 |
If susan is either humble or not quiet then someone is patient or wise.
Everyone who is either not humble or not tall is not funny.
Everyone who is both not rich and not old is either not kind or not patient and vice versa.
Everyone who is old or patient is not calm or not kind and vice versa.
Everyone who is funny is ... | Susan is not strong. | contradiction | (((humble(susan)<~>~quiet(susan)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:((~humble(X)<~>~tall(X))=>~funny(X)))&
(![X]:((~rich(X)&~old(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((old(X)|patient(X))<=>(~calm(X)|~kind(X))))&
(![X]:(funny(X)<=>(~calm(X)|old(X))))&
(![X]:(calm(X)=>(~happy(X)&~quiet(X))))&
(((~calm(alice)<~>c... | ~strong(susan) | [
"p3",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6616021594991256944877781
% SZS output start Proof for 6616021594991256944877781
4. ! [X0] : ((patient(X0) | old(X0)) <=> (~kind(X0) | ~calm(X0))) [input p3]
6. ! [X0] : (calm(X0) => (~quiet(X0) & ~happy(X0))) [input p5]
8. ! [X0] : (~strong(X0) => (happy(X0) & ~patient(X0))) [input p7]
1... | 0 |
Everyone who is not creative is not funny and vice versa. Everyone who is not happy is either not funny or not creative. Everyone who is funny or not humble is either not creative or quiet. If someone is not rich or not humble then john is curious or kind. If someone is not old or kind then alice is humble. If lucy is ... | John is not humble. | neutral | (![X]:(~creative(X)<=>~funny(X)))&
(![X]:(~happy(X)=>(~funny(X)<~>~creative(X))))&
(![X]:((funny(X)|~humble(X))=>(~creative(X)<~>quiet(X))))&
((?[X]:((~rich(X)|~humble(X))))=>((curious(john)|kind(john))))&
((?[X]:((~old(X)|kind(X))))=>(humble(alice)))&
(((~patient(lucy)<~>~generous(lucy)))=>(?[X]:((humble(X)&tall(X))))... | ~humble(john) | [] | null | 0 |
Everyone who is not wise is rich or not happy and vice versa.
Everyone who is either not patient or wise is brave or rich.
Everyone who is humble is not wise or old and vice versa.
If someone is either creative or not happy then susan is either not rich or not patient and vice versa.
If someone is both not tall and not... | Lucy is not old. | entailment | (![X]:(~wise(X)<=>(rich(X)|~happy(X))))&
(![X]:((~patient(X)<~>wise(X))=>(brave(X)|rich(X))))&
(![X]:(humble(X)<=>(~wise(X)|old(X))))&
((?[X]:((creative(X)<~>~happy(X))))<=>((~rich(susan)<~>~patient(susan))))&
((?[X]:((~tall(X)&~humble(X))))<=>(?[X]:((~tall(X)|~strong(X)))))&
(![X]:((kind(X)&~funny(X))<=>rich(X)))&
((?... | ~old(lucy) | [
"p0",
"p2",
"p5",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5525955567237630277112448
% SZS output start Proof for 5525955567237630277112448
1. ! [X0] : (~wise(X0) <=> (~happy(X0) | rich(X0))) [input p0]
3. ! [X0] : (humble(X0) <=> (old(X0) | ~wise(X0))) [input p2]
6. ! [X0] : ((~funny(X0) & kind(X0)) <=> rich(X0)) [input p5]
9. ! [X0] : ((~happy(... | 0 |
If mary is both not brave and not happy then mary is generous or not patient and vice versa. If someone is both quiet and rich then lucy is not curious and vice versa. Everyone who is both not humble and happy is not brave and vice versa. If john is tall or strong then fred is either curious or not kind. Everyone who i... | Mary is not tall. | neutral | (((~brave(mary)&~happy(mary)))<=>((generous(mary)|~patient(mary))))&
((?[X]:((quiet(X)&rich(X))))<=>(~curious(lucy)))&
(![X]:((~humble(X)&happy(X))<=>~brave(X)))&
(((tall(john)|strong(john)))=>((curious(fred)<~>~kind(fred))))&
(![X]:(tall(X)<=>(old(X)<~>~curious(X))))&
(![X]:(patient(X)<=>(~funny(X)&brave(X))))&
(![X]:... | ~tall(mary) | [] | null | 0 |
Everyone who is not tall or not brave is either not quiet or old. Everyone who is either creative or not strong is either patient or not creative. Everyone who is not generous is both humble and not quiet. Everyone who is kind is curious or not rich. If someone is curious or funny then someone is both not generous and ... | Mary is rich. | neutral | (![X]:((~tall(X)|~brave(X))=>(~quiet(X)<~>old(X))))&
(![X]:((creative(X)<~>~strong(X))=>(patient(X)<~>~creative(X))))&
(![X]:(~generous(X)=>(humble(X)&~quiet(X))))&
(![X]:(kind(X)=>(curious(X)|~rich(X))))&
((?[X]:((curious(X)|funny(X))))=>(?[X]:((~generous(X)&~wise(X)))))&
((?[X]:((humble(X)|strong(X))))=>((~wise(susan... | rich(mary) | [] | null | 0 |
Everyone who is not patient or tall is not generous and vice versa. Everyone who is not quiet or not happy is either not happy or tall. If someone is creative then susan is old and vice versa. If paul is generous then mary is tall and vice versa. Everyone who is quiet or not tall is kind. Everyone who is both rich and ... | Fred is calm. | neutral | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~quiet(X)|~happy(X))=>(~happy(X)<~>tall(X))))&
((?[X]:(creative(X)))<=>(old(susan)))&
((generous(paul))<=>(tall(mary)))&
(![X]:((quiet(X)|~tall(X))=>kind(X)))&
(![X]:((rich(X)&~curious(X))<=>(old(X)&~old(X))))&
(![X]:((kind(X)|old(X))=>happy(X)))&
(![X]:((~curious(... | calm(fred) | [] | null | 0 |
If mary is not happy or not old then someone is both not curious and not old.
Everyone who is not old is both brave and kind.
Everyone who is either not generous or old is either not humble or quiet.
Everyone who is not tall or calm is wise.
Everyone who is rich or not tall is both not rich and not happy and vice versa... | Paul is tall. | entailment | (((~happy(mary)|~old(mary)))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:(~old(X)=>(brave(X)&kind(X))))&
(![X]:((~generous(X)<~>old(X))=>(~humble(X)<~>quiet(X))))&
(![X]:((~tall(X)|calm(X))=>wise(X)))&
(![X]:((rich(X)|~tall(X))<=>(~rich(X)&~happy(X))))&
(![X]:((creative(X)&kind(X))<=>(~tall(X)|old(X))))&
(![X]:((tall(X)&~b... | tall(paul) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7524261107388627395483511
% SZS output start Proof for 7524261107388627395483511
5. ! [X0] : ((~tall(X0) | rich(X0)) <=> (~happy(X0) & ~rich(X0))) [input p4]
7. ! [X0] : ((~brave(X0) & tall(X0)) <=> ~happy(X0)) [input p6]
24. ~tall(paul) [input hypothesis]
38. ! [X0] : (((~tall(X0) | rich... | 0 |
If paul is not rich then someone is not brave or not calm.
Everyone who is either not kind or not quiet is not old or wise.
Everyone who is either not happy or rich is either not old or not generous and vice versa.
If alice is either tall or not funny then someone is humble.
Everyone who is either not patient or brave ... | Fred is old. | neutral | ((~rich(paul))=>(?[X]:((~brave(X)|~calm(X)))))&
(![X]:((~kind(X)<~>~quiet(X))=>(~old(X)|wise(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(~old(X)<~>~generous(X))))&
(((tall(alice)<~>~funny(alice)))=>(?[X]:(humble(X))))&
(![X]:((~patient(X)<~>brave(X))=>(~brave(X)&quiet(X))))&
((?[X]:((~tall(X)<~>funny(X))))<=>(?[X]:((~old(X)... | old(fred) | [] | null | 0 |
Everyone who is either curious or old is both rich and brave and vice versa.
If mary is either calm or not quiet then someone is brave or not creative and vice versa.
Everyone who is both not creative and not tall is humble and vice versa.
If lucy is either kind or calm then paul is not quiet.
Everyone who is generous ... | Fred is not old. | contradiction | (![X]:((curious(X)<~>old(X))<=>(rich(X)&brave(X))))&
(((calm(mary)<~>~quiet(mary)))<=>(?[X]:((brave(X)|~creative(X)))))&
(![X]:((~creative(X)&~tall(X))<=>humble(X)))&
(((kind(lucy)<~>calm(lucy)))=>(~quiet(paul)))&
(![X]:((generous(X)|funny(X))<=>(strong(X)&patient(X))))&
(((curious(lucy)&patient(lucy)))=>(~tall(lucy)))... | ~old(fred) | [
"p0",
"p2",
"p4",
"p7",
"p9",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 751412257621187585858586
% SZS output start Proof for 751412257621187585858586
1. ! [X0] : ((curious(X0) <~> old(X0)) <=> (brave(X0) & rich(X0))) [input p0]
3. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> humble(X0)) [input p2]
5. ! [X0] : ((funny(X0) | generous(X0)) <=> (patient(X0) & stron... | 0 |
Everyone who is either not creative or not old is not generous.
If someone is old then someone is both not kind and not creative and vice versa.
Everyone who is either old or generous is generous.
Everyone who is not calm or not funny is either creative or generous.
Everyone who is both not creative and old is either p... | Paul is wise. | entailment | (![X]:((~creative(X)<~>~old(X))=>~generous(X)))&
((?[X]:(old(X)))<=>(?[X]:((~kind(X)&~creative(X)))))&
(![X]:((old(X)<~>generous(X))=>generous(X)))&
(![X]:((~calm(X)|~funny(X))=>(creative(X)<~>generous(X))))&
(![X]:((~creative(X)&old(X))<=>(patient(X)<~>brave(X))))&
(![X]:(quiet(X)=>rich(X)))&
(![X]:((creative(X)|patie... | wise(paul) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p11",
"p13",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2431278329030691659438387
% SZS output start Proof for 2431278329030691659438387
4. ! [X0] : ((~funny(X0) | ~calm(X0)) => (creative(X0) <~> generous(X0))) [input p3]
5. ! [X0] : ((old(X0) & ~creative(X0)) <=> (patient(X0) <~> brave(X0))) [input p4]
6. ! [X0] : (quiet(X0) => rich(X0)) [inp... | 0 |
Everyone who is both not creative and funny is either kind or not quiet and vice versa. Everyone who is both not patient and patient is creative or funny and vice versa. Everyone who is wise or patient is both humble and not strong. If paul is not rich then someone is both not rich and kind. If someone is both not quie... | Lucy is patient. | contradiction | (![X]:((~creative(X)&funny(X))<=>(kind(X)<~>~quiet(X))))&
(![X]:((~patient(X)&patient(X))<=>(creative(X)|funny(X))))&
(![X]:((wise(X)|patient(X))=>(humble(X)&~strong(X))))&
((~rich(paul))=>(?[X]:((~rich(X)&kind(X)))))&
((?[X]:((~quiet(X)&strong(X))))=>((tall(lucy)|kind(lucy))))&
(![X]:(kind(X)=>(~strong(X)<~>~rich(X)))... | patient(lucy) | [
"p0",
"p1",
"p2",
"p5",
"p7",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4152228768194313588687465
% SZS output start Proof for 4152228768194313588687465
1. ! [X0] : ((funny(X0) & ~creative(X0)) <=> (kind(X0) <~> ~quiet(X0))) [input p0]
2. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (funny(X0) | creative(X0))) [input p1]
3. ! [X0] : ((patient(X0) | wise(X0)) =>... | 0 |
Everyone who is either humble or quiet is rich.
If alice is curious then someone is either not happy or not quiet and vice versa.
Everyone who is kind or not brave is old or not tall and vice versa.
Everyone who is not tall or not funny is both generous and not brave.
Everyone who is either not brave or old is rich or ... | Mary is old. | contradiction | (![X]:((humble(X)<~>quiet(X))=>rich(X)))&
((curious(alice))<=>(?[X]:((~happy(X)<~>~quiet(X)))))&
(![X]:((kind(X)|~brave(X))<=>(old(X)|~tall(X))))&
(![X]:((~tall(X)|~funny(X))=>(generous(X)&~brave(X))))&
(![X]:((~brave(X)<~>old(X))=>(rich(X)|curious(X))))&
(((~patient(alice)|~rich(alice)))=>((old(john)|~quiet(john))))&
... | old(mary) | [
"p3",
"p9",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3266118265564706965822584
% SZS output start Proof for 3266118265564706965822584
4. ! [X0] : ((~funny(X0) | ~tall(X0)) => (~brave(X0) & generous(X0))) [input p3]
10. (rich(mary) & ~curious(mary)) <=> ? [X0] : (~calm(X0) & ~happy(X0)) [input p9]
15. ! [X0] : ((~brave(X0) | ~curious(X0)) <=... | 0 |
If mary is brave then someone is both not generous and quiet.
Everyone who is both not creative and old is both generous and not creative and vice versa.
Everyone who is patient is old or not kind and vice versa.
If paul is either not quiet or not wise then someone is quiet or not old and vice versa.
Everyone who is ca... | Paul is not wise. | entailment | ((brave(mary))=>(?[X]:((~generous(X)&quiet(X)))))&
(![X]:((~creative(X)&old(X))<=>(generous(X)&~creative(X))))&
(![X]:(patient(X)<=>(old(X)|~kind(X))))&
(((~quiet(paul)<~>~wise(paul)))<=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:(calm(X)<=>(~old(X)&wise(X))))&
((~wise(paul))=>(?[X]:((~strong(X)|patient(X)))))&
(((calm(john)&... | ~wise(paul) | [
"p2",
"p3",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 868371168059272237530582
% SZS output start Proof for 868371168059272237530582
3. ! [X0] : (patient(X0) <=> (~kind(X0) | old(X0))) [input p2]
4. (~quiet(paul) <~> ~wise(paul)) <=> ? [X0] : (~old(X0) | quiet(X0)) [input p3]
7. (rich(john) & calm(john)) <=> ? [X0] : (~quiet(X0) <~> happy(X0... | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa.
Everyone who is generous or not funny is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who is ... | Paul is not kind. | contradiction | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((generous(X)|~funny(X))=>(creative(X)<~>~rich(X))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|humb... | ~kind(paul) | [
"p4",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7240754149951876388700967
% SZS output start Proof for 7240754149951876388700967
5. ! [X0] : ((kind(X0) | ~rich(X0)) => strong(X0)) [input p4]
12. ~happy(lucy) <=> (~creative(fred) <~> rich(fred)) [input p11]
15. ? [X0] : rich(X0) => kind(paul) [input p14]
16. ! [X0] : (~happy(X0) <=> ric... | 0 |
Everyone who is not calm or kind is either tall or not humble. Everyone who is not quiet or tall is both happy and not kind. Everyone who is either tall or rich is generous and vice versa. Everyone who is both not happy and quiet is both not old and not brave and vice versa. Everyone who is not strong is not old and vi... | Fred is not strong. | entailment | (![X]:((~calm(X)|kind(X))=>(tall(X)<~>~humble(X))))&
(![X]:((~quiet(X)|tall(X))=>(happy(X)&~kind(X))))&
(![X]:((tall(X)<~>rich(X))<=>generous(X)))&
(![X]:((~happy(X)&quiet(X))<=>(~old(X)&~brave(X))))&
(![X]:(~strong(X)<=>~old(X)))&
(![X]:(patient(X)<=>(curious(X)&~patient(X))))&
(![X]:((old(X)&calm(X))=>(brave(X)<~>~qu... | ~strong(fred) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4884475994442053530136279
% SZS output start Proof for 4884475994442053530136279
6. ! [X0] : (patient(X0) <=> (~patient(X0) & curious(X0))) [input p5]
8. ! [X0] : ((patient(X0) & funny(X0)) <=> strong(X0)) [input p7]
25. strong(fred) [input hypothesis]
44. ! [X0] : ((patient(X0) | (patien... | 0 |
Everyone who is not curious or not happy is not funny and vice versa.
If someone is not creative or not tall then someone is humble and vice versa.
Everyone who is either rich or not generous is funny or not curious and vice versa.
Everyone who is both not quiet and not humble is either funny or creative.
If paul is bo... | John is not old. | entailment | (![X]:((~curious(X)|~happy(X))<=>~funny(X)))&
((?[X]:((~creative(X)|~tall(X))))<=>(?[X]:(humble(X))))&
(![X]:((rich(X)<~>~generous(X))<=>(funny(X)|~curious(X))))&
(![X]:((~quiet(X)&~humble(X))=>(funny(X)<~>creative(X))))&
(((brave(paul)&~old(paul)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)|~brave(X))=>curious(X)))&
(((ta... | ~old(john) | [
"p0",
"p2",
"p5",
"p10",
"p14",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6913558220639671670973679
% SZS output start Proof for 6913558220639671670973679
1. ! [X0] : ((~happy(X0) | ~curious(X0)) <=> ~funny(X0)) [input p0]
3. ! [X0] : ((rich(X0) <~> ~generous(X0)) <=> (~curious(X0) | funny(X0))) [input p2]
6. ! [X0] : ((~brave(X0) | ~calm(X0)) => curious(X0)) [... | 0 |
If paul is not happy or not rich then someone is not wise.
Everyone who is not generous or strong is both strong and not tall and vice versa.
Everyone who is brave is happy or not happy and vice versa.
If fred is happy then someone is both not quiet and not funny.
If john is either quiet or brave then someone is either... | Susan is not brave. | contradiction | (((~happy(paul)|~rich(paul)))=>(?[X]:(~wise(X))))&
(![X]:((~generous(X)|strong(X))<=>(strong(X)&~tall(X))))&
(![X]:(brave(X)<=>(happy(X)|~happy(X))))&
((happy(fred))=>(?[X]:((~quiet(X)&~funny(X)))))&
(((quiet(john)<~>brave(john)))=>(?[X]:((~creative(X)<~>humble(X)))))&
((?[X]:((~happy(X)&~tall(X))))<=>((~humble(john)<~... | ~brave(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5844478593608588529307168
% SZS output start Proof for 5844478593608588529307168
3. ! [X0] : (brave(X0) <=> (~happy(X0) | happy(X0))) [input p2]
25. ~brave(susan) [input hypothesis]
38. ! [X0] : ((brave(X0) | (happy(X0) & ~happy(X0))) & ((~happy(X0) | happy(X0)) | ~brave(X0))) [nnf transf... | 0 |
Everyone who is both not happy and not curious is not strong and vice versa.
If someone is not curious or funny then paul is not rich and vice versa.
Everyone who is both not quiet and not strong is both not generous and old and vice versa.
If someone is happy then alice is both patient and brave.
If lucy is happy then... | Alice is not funny. | entailment | (![X]:((~happy(X)&~curious(X))<=>~strong(X)))&
((?[X]:((~curious(X)|funny(X))))<=>(~rich(paul)))&
(![X]:((~quiet(X)&~strong(X))<=>(~generous(X)&old(X))))&
((?[X]:(happy(X)))=>((patient(alice)&brave(alice))))&
((happy(lucy))<=>((~rich(paul)|~curious(paul))))&
(![X]:((~kind(X)<~>~wise(X))<=>(~humble(X)|calm(X))))&
((pati... | ~funny(alice) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2127117914665427109903493
% SZS output start Proof for 2127117914665427109903493
1. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> ~strong(X0)) [input p0]
2. ? [X0] : (funny(X0) | ~curious(X0)) <=> ~rich(paul) [input p1]
3. ! [X0] : ((~strong(X0) & ~quiet(X0)) <=> (old(X0) & ~generous(X0))) [i... | 0 |
If someone is not happy then someone is humble. If someone is either tall or brave then someone is both not humble and not tall. If john is not rich then lucy is both not brave and creative and vice versa. Everyone who is not creative or funny is old or not funny and vice versa. If someone is not wise or not rich then ... | Lucy is rich. | entailment | ((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((tall(X)<~>brave(X))))=>(?[X]:((~humble(X)&~tall(X)))))&
((~rich(john))<=>((~brave(lucy)&creative(lucy))))&
(![X]:((~creative(X)|funny(X))<=>(old(X)|~funny(X))))&
((?[X]:((~wise(X)|~rich(X))))<=>((~brave(susan)&~humble(susan))))&
(![X]:(~old(X)<=>patient(X)))&
(![X]:((~... | rich(lucy) | [
"p4",
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1224615891168300401652443
% SZS output start Proof for 1224615891168300401652443
5. ? [X0] : (~rich(X0) | ~wise(X0)) <=> (~humble(susan) & ~brave(susan)) [input p4]
7. ! [X0] : ((~humble(X0) <~> humble(X0)) => (funny(X0) <~> kind(X0))) [input p6]
9. ! [X0] : ((kind(X0) | happy(X0)) <=> br... | 0 |
If someone is both strong and patient then someone is both happy and kind and vice versa.
If someone is either not calm or strong then lucy is generous or tall.
If someone is either not creative or creative then someone is both not kind and not creative.
Everyone who is both not quiet and not funny is not humble and vi... | Susan is wise. | neutral | ((?[X]:((strong(X)&patient(X))))<=>(?[X]:((happy(X)&kind(X)))))&
((?[X]:((~calm(X)<~>strong(X))))=>((generous(lucy)|tall(lucy))))&
((?[X]:((~creative(X)<~>creative(X))))=>(?[X]:((~kind(X)&~creative(X)))))&
(![X]:((~quiet(X)&~funny(X))<=>~humble(X)))&
(![X]:(patient(X)=>(brave(X)|~patient(X))))&
(![X]:((calm(X)&happy(X)... | wise(susan) | [] | null | 0 |
If someone is not wise or not tall then someone is not calm and vice versa. If someone is generous or not patient then alice is either not happy or humble and vice versa. If fred is either not old or not tall then fred is not creative and vice versa. Everyone who is funny is both not generous and not happy. Everyone wh... | Susan is not creative. | contradiction | ((?[X]:((~wise(X)|~tall(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((generous(X)|~patient(X))))<=>((~happy(alice)<~>humble(alice))))&
(((~old(fred)<~>~tall(fred)))<=>(~creative(fred)))&
(![X]:(funny(X)=>(~generous(X)&~happy(X))))&
(![X]:((~quiet(X)|~rich(X))<=>~old(X)))&
(![X]:(~quiet(X)=>strong(X)))&
(![X]:((generous(X)<~>~wi... | ~creative(susan) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4573399165700492122430782
% SZS output start Proof for 4573399165700492122430782
8. ! [X0] : ((quiet(X0) | curious(X0)) => (creative(X0) & old(X0))) [input p7]
13. ! [X0] : ((~wise(X0) & ~quiet(X0)) <=> wise(X0)) [input p12]
18. ~creative(susan) [input hypothesis]
23. ! [X0] : (quiet(X0) ... | 0 |
If someone is both calm and funny then someone is both not kind and not rich. Everyone who is strong or not funny is both strong and not kind. Everyone who is either calm or not tall is creative or not quiet. Everyone who is not kind is either brave or kind. Everyone who is either not tall or wise is either humble or n... | Fred is wise. | neutral | ((?[X]:((calm(X)&funny(X))))=>(?[X]:((~kind(X)&~rich(X)))))&
(![X]:((strong(X)|~funny(X))=>(strong(X)&~kind(X))))&
(![X]:((calm(X)<~>~tall(X))=>(creative(X)|~quiet(X))))&
(![X]:(~kind(X)=>(brave(X)<~>kind(X))))&
(![X]:((~tall(X)<~>wise(X))=>(humble(X)<~>~wise(X))))&
(![X]:((~happy(X)|kind(X))=>(~calm(X)|humble(X))))&
(... | wise(fred) | [] | null | 0 |
If someone is kind or not happy then paul is either not old or not creative and vice versa. If alice is either not happy or not calm then fred is not quiet. Everyone who is both old and humble is either generous or not funny. Everyone who is not brave or wise is not rich or not quiet. Everyone who is not old or generou... | Fred is funny. | contradiction | ((?[X]:((kind(X)|~happy(X))))<=>((~old(paul)<~>~creative(paul))))&
(((~happy(alice)<~>~calm(alice)))=>(~quiet(fred)))&
(![X]:((old(X)&humble(X))=>(generous(X)<~>~funny(X))))&
(![X]:((~brave(X)|wise(X))=>(~rich(X)|~quiet(X))))&
(![X]:((~old(X)|generous(X))=>(~happy(X)|tall(X))))&
(((~strong(fred)|curious(fred)))=>(?[X]:... | funny(fred) | [
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 953786142009655392248299
% SZS output start Proof for 953786142009655392248299
17. happy(fred) & ~humble(fred) [input p16]
20. humble(fred) | ~funny(fred) [input p19]
25. funny(fred) [input hypothesis]
115. ~humble(fred) [cnf transformation 17]
120. humble(fred) | ~funny(fred) [cnf transf... | 0 |
If alice is both happy and not funny then lucy is either humble or not creative.
If someone is both tall and not kind then someone is not old and vice versa.
If fred is either not rich or not humble then mary is both calm and not kind and vice versa.
Everyone who is both brave and calm is both not rich and not brave an... | Mary is rich. | entailment | (((happy(alice)&~funny(alice)))=>((humble(lucy)<~>~creative(lucy))))&
((?[X]:((tall(X)&~kind(X))))<=>(?[X]:(~old(X))))&
(((~rich(fred)<~>~humble(fred)))<=>((calm(mary)&~kind(mary))))&
(![X]:((brave(X)&calm(X))<=>(~rich(X)&~brave(X))))&
(![X]:((~happy(X)&~generous(X))=>(~wise(X)<~>humble(X))))&
(![X]:(~calm(X)=>brave(X)... | rich(mary) | [
"p3",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4695855453288239140773553
% SZS output start Proof for 4695855453288239140773553
4. ! [X0] : ((calm(X0) & brave(X0)) <=> (~brave(X0) & ~rich(X0))) [input p3]
12. ! [X0] : ((patient(X0) | ~wise(X0)) => ~tall(X0)) [input p11]
13. ! [X0] : ((funny(X0) | ~tall(X0)) <=> calm(X0)) [input p12]
1... | 0 |
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is either not quiet or rich.
Everyone who is not happy or not quiet is both wise and not curious.
Everyone who is both not patient and not funny is both not curious and gen... | Lucy is not humble. | entailment | (![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patient(X)&~funny(X))<=>(~curious(X)&generous(X))))&
((~humble(paul))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((happy(X... | ~humble(lucy) | [
"p0",
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7282544432571824859561000
% SZS output start Proof for 7282544432571824859561000
1. ! [X0] : (~kind(X0) => (wise(X0) & creative(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & wise(X0))) [input p3]
12. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (wise(X0) | ~cre... | 0 |
If someone is not generous or not funny then someone is quiet or happy and vice versa.
Everyone who is not happy or funny is calm or old.
Everyone who is not humble is old or not strong and vice versa.
If john is creative then someone is both not funny and calm and vice versa.
If someone is funny then someone is both c... | Susan is not old. | entailment | ((?[X]:((~generous(X)|~funny(X))))<=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:((~happy(X)|funny(X))=>(calm(X)|old(X))))&
(![X]:(~humble(X)<=>(old(X)|~strong(X))))&
((creative(john))<=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((creative(X)&~quiet(X)))))&
(![X]:(~rich(X)=>(rich(X)|~rich(X))))&
(![X]:((~brave... | ~old(susan) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3373950473791437166997129
% SZS output start Proof for 3373950473791437166997129
3. ! [X0] : (~humble(X0) <=> (~strong(X0) | old(X0))) [input p2]
8. ! [X0] : ((old(X0) | tall(X0)) <=> (quiet(X0) & humble(X0))) [input p7]
23. old(susan) [input hypothesis]
43. ! [X0] : ((~humble(X0) | (stro... | 0 |
Everyone who is creative or strong is strong or patient and vice versa.
Everyone who is both not kind and kind is either patient or creative.
Everyone who is not kind is not rich.
Everyone who is both happy and not old is not calm and vice versa.
Everyone who is happy is both not creative and brave and vice versa.
If j... | Paul is not brave. | contradiction | (![X]:((creative(X)|strong(X))<=>(strong(X)|patient(X))))&
(![X]:((~kind(X)&kind(X))=>(patient(X)<~>creative(X))))&
(![X]:(~kind(X)=>~rich(X)))&
(![X]:((happy(X)&~old(X))<=>~calm(X)))&
(![X]:(happy(X)<=>(~creative(X)&brave(X))))&
(((~kind(john)<~>calm(john)))<=>(?[X]:(rich(X))))&
(![X]:((creative(X)|~calm(X))<=>(funny(... | ~brave(paul) | [
"p3",
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6060078848411174377556537
% SZS output start Proof for 6060078848411174377556537
4. ! [X0] : ((~old(X0) & happy(X0)) <=> ~calm(X0)) [input p3]
5. ! [X0] : (happy(X0) <=> (brave(X0) & ~creative(X0))) [input p4]
21. tall(paul) & ~calm(paul) [input p20]
25. ~brave(paul) [input hypothesis]
39... | 0 |
If fred is curious or not strong then susan is patient or happy.
Everyone who is both not strong and old is both quiet and not wise.
Everyone who is both creative and not generous is both quiet and creative.
Everyone who is both not calm and not tall is not wise or quiet.
If someone is both not calm and generous then s... | Susan is patient. | neutral | (((curious(fred)|~strong(fred)))=>((patient(susan)|happy(susan))))&
(![X]:((~strong(X)&old(X))=>(quiet(X)&~wise(X))))&
(![X]:((creative(X)&~generous(X))=>(quiet(X)&creative(X))))&
(![X]:((~calm(X)&~tall(X))=>(~wise(X)|quiet(X))))&
((?[X]:((~calm(X)&generous(X))))=>(?[X]:((funny(X)|curious(X)))))&
(![X]:((kind(X)<~>tall... | patient(susan) | [] | null | 0 |
Everyone who is curious is either not wise or generous and vice versa.
Everyone who is not tall is kind or not happy.
If someone is both generous and not patient then mary is both patient and not patient and vice versa.
Everyone who is kind or calm is both not calm and not strong.
If fred is both curious and kind then ... | John is not patient. | contradiction | (![X]:(curious(X)<=>(~wise(X)<~>generous(X))))&
(![X]:(~tall(X)=>(kind(X)|~happy(X))))&
((?[X]:((generous(X)&~patient(X))))<=>((patient(mary)&~patient(mary))))&
(![X]:((kind(X)|calm(X))=>(~calm(X)&~strong(X))))&
(((curious(fred)&kind(fred)))<=>((patient(susan)|~kind(susan))))&
((?[X]:(tall(X)))<=>(?[X]:((kind(X)<~>~kin... | ~patient(john) | [
"p2",
"p3",
"p10",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7895424768499151278590296
% SZS output start Proof for 7895424768499151278590296
3. ? [X0] : (~patient(X0) & generous(X0)) <=> (~patient(mary) & patient(mary)) [input p2]
4. ! [X0] : ((calm(X0) | kind(X0)) => (~strong(X0) & ~calm(X0))) [input p3]
11. ! [X0] : (~happy(X0) => kind(X0)) [inp... | 0 |
Everyone who is quiet or not brave is both rich and not brave and vice versa.
If someone is not tall or curious then someone is not funny.
Everyone who is not funny is either not tall or generous and vice versa.
If john is either old or generous then someone is both brave and humble and vice versa.
Everyone who is both... | Paul is generous. | contradiction | (![X]:((quiet(X)|~brave(X))<=>(rich(X)&~brave(X))))&
((?[X]:((~tall(X)|curious(X))))=>(?[X]:(~funny(X))))&
(![X]:(~funny(X)<=>(~tall(X)<~>generous(X))))&
(((old(john)<~>generous(john)))<=>(?[X]:((brave(X)&humble(X)))))&
(![X]:((strong(X)&~strong(X))=>(~old(X)<~>happy(X))))&
(![X]:((generous(X)<~>patient(X))<=>(quiet(X)... | generous(paul) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 26433150637073334106297
% SZS output start Proof for 26433150637073334106297
10. ! [X0] : ((quiet(X0) & ~strong(X0)) <=> strong(X0)) [input p9]
12. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (~wise(X0) | generous(X0))) [input p11]
23. generous(paul) [input hypothesis]
51. ! [X0] : (((quiet(X0... | 0 |
Everyone who is either rich or not kind is not creative.
Everyone who is either humble or not curious is either creative or not creative.
If mary is either wise or not quiet then alice is either calm or not funny.
If paul is both generous and quiet then lucy is brave or not calm and vice versa.
If someone is both not o... | Lucy is not calm. | contradiction | (![X]:((rich(X)<~>~kind(X))=>~creative(X)))&
(![X]:((humble(X)<~>~curious(X))=>(creative(X)<~>~creative(X))))&
(((wise(mary)<~>~quiet(mary)))=>((calm(alice)<~>~funny(alice))))&
(((generous(paul)&quiet(paul)))<=>((brave(lucy)|~calm(lucy))))&
((?[X]:((~old(X)&humble(X))))<=>((wise(lucy)|~humble(lucy))))&
(((~humble(susan... | ~calm(lucy) | [
"p3",
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8708126775947328132977791
% SZS output start Proof for 8708126775947328132977791
4. (quiet(paul) & generous(paul)) <=> (~calm(lucy) | brave(lucy)) [input p3]
6. (tall(susan) | ~humble(susan)) <=> ~happy(paul) [input p5]
12. ! [X0] : (~tall(X0) <=> (~humble(X0) | strong(X0))) [input p11]
1... | 0 |
If someone is kind or not rich then someone is both quiet and not kind. Everyone who is both old and not tall is not quiet or patient and vice versa. Everyone who is not wise is not calm. Everyone who is either brave or not rich is both wise and rich. Everyone who is wise or not funny is humble. Everyone who is wise is... | Fred is wise. | entailment | ((?[X]:((kind(X)|~rich(X))))=>(?[X]:((quiet(X)&~kind(X)))))&
(![X]:((old(X)&~tall(X))<=>(~quiet(X)|patient(X))))&
(![X]:(~wise(X)=>~calm(X)))&
(![X]:((brave(X)<~>~rich(X))=>(wise(X)&rich(X))))&
(![X]:((wise(X)|~funny(X))=>humble(X)))&
(![X]:(wise(X)<=>~curious(X)))&
((?[X]:((curious(X)<~>~brave(X))))=>(?[X]:((creative(... | wise(fred) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1373163634247502736348795
% SZS output start Proof for 1373163634247502736348795
1. ? [X0] : (~rich(X0) | kind(X0)) => ? [X0] : (~kind(X0) & quiet(X0)) [input p0]
3. ! [X0] : (~wise(X0) => ~calm(X0)) [input p2]
4. ! [X0] : ((brave(X0) <~> ~rich(X0)) => (rich(X0) & wise(X0))) [input p3]
6.... | 0 |
If someone is either kind or not strong then someone is not funny or not kind.
If susan is either kind or creative then fred is either brave or not creative.
Everyone who is old or not wise is both not strong and not tall.
Everyone who is both not humble and creative is funny or curious.
If john is either not strong or... | Fred is not kind. | entailment | ((?[X]:((kind(X)<~>~strong(X))))=>(?[X]:((~funny(X)|~kind(X)))))&
(((kind(susan)<~>creative(susan)))=>((brave(fred)<~>~creative(fred))))&
(![X]:((old(X)|~wise(X))=>(~strong(X)&~tall(X))))&
(![X]:((~humble(X)&creative(X))=>(funny(X)|curious(X))))&
(((~strong(john)<~>~old(john)))=>(?[X]:(wise(X))))&
(![X]:(happy(X)<=>(~s... | ~kind(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1496636071547049678242565
% SZS output start Proof for 1496636071547049678242565
12. ! [X0] : (happy(X0) <=> (~kind(X0) | ~happy(X0))) [input p11]
22. kind(fred) [input hypothesis]
54. ! [X0] : ((happy(X0) | (kind(X0) & happy(X0))) & ((~kind(X0) | ~happy(X0)) | ~happy(X0))) [nnf transform... | 0 |
If someone is both humble and old then lucy is not patient and vice versa.
Everyone who is not calm or not quiet is both not patient and patient.
Everyone who is either humble or not kind is not brave or not funny and vice versa.
Everyone who is both not calm and not happy is not generous or not rich.
Everyone who is e... | Susan is quiet. | entailment | ((?[X]:((humble(X)&old(X))))<=>(~patient(lucy)))&
(![X]:((~calm(X)|~quiet(X))=>(~patient(X)&patient(X))))&
(![X]:((humble(X)<~>~kind(X))<=>(~brave(X)|~funny(X))))&
(![X]:((~calm(X)&~happy(X))=>(~generous(X)|~rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>(kind(X)|funny(X))))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]... | quiet(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8215032186943654940554072
% SZS output start Proof for 8215032186943654940554072
2. ! [X0] : ((~quiet(X0) | ~calm(X0)) => (patient(X0) & ~patient(X0))) [input p1]
23. ~quiet(susan) [input hypothesis]
25. ! [X0] : ((patient(X0) & ~patient(X0)) | (quiet(X0) & calm(X0))) [ennf transformation... | 0 |
Everyone who is both kind and rich is not generous. Everyone who is kind or happy is not quiet or wise. Everyone who is happy or not old is not tall or not calm and vice versa. Everyone who is tall or not strong is either not generous or not humble and vice versa. Everyone who is generous is not calm or quiet. If someo... | Mary is patient. | contradiction | (![X]:((kind(X)&rich(X))=>~generous(X)))&
(![X]:((kind(X)|happy(X))=>(~quiet(X)|wise(X))))&
(![X]:((happy(X)|~old(X))<=>(~tall(X)|~calm(X))))&
(![X]:((tall(X)|~strong(X))<=>(~generous(X)<~>~humble(X))))&
(![X]:(generous(X)=>(~calm(X)|quiet(X))))&
((?[X]:((~patient(X)<~>rich(X))))<=>((funny(mary)&generous(mary))))&
((?[... | patient(mary) | [
"p3",
"p5",
"p7",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7638269053944074384962024
% SZS output start Proof for 7638269053944074384962024
4. ! [X0] : ((~strong(X0) | tall(X0)) <=> (~generous(X0) <~> ~humble(X0))) [input p3]
6. ? [X0] : (~patient(X0) <~> rich(X0)) <=> (generous(mary) & funny(mary)) [input p5]
8. ! [X0] : ((~rich(X0) & tall(X0)) ... | 0 |
Everyone who is generous or rich is both not wise and happy. If mary is both not strong and not curious then someone is both kind and not old. If someone is either creative or not wise then someone is rich or old and vice versa. Everyone who is either funny or not generous is either quiet or not creative and vice versa... | Fred is strong. | contradiction | (![X]:((generous(X)|rich(X))=>(~wise(X)&happy(X))))&
(((~strong(mary)&~curious(mary)))=>(?[X]:((kind(X)&~old(X)))))&
((?[X]:((creative(X)<~>~wise(X))))<=>(?[X]:((rich(X)|old(X)))))&
(![X]:((funny(X)<~>~generous(X))<=>(quiet(X)<~>~creative(X))))&
(((~happy(lucy)|humble(lucy)))=>(?[X]:((generous(X)|~strong(X)))))&
((?[X]... | strong(fred) | [
"p0",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1821325085999908750166818
% SZS output start Proof for 1821325085999908750166818
1. ! [X0] : ((rich(X0) | generous(X0)) => (happy(X0) & ~wise(X0))) [input p0]
9. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (~strong(X0) | rich(X0))) [input p8]
14. ! [X0] : ((~tall(X0) | ~quiet(X0)) <=> ... | 0 |
If fred is either creative or not calm then lucy is strong.
If someone is either calm or not rich then someone is not calm and vice versa.
Everyone who is either brave or not calm is both calm and not kind.
Everyone who is either not wise or strong is either brave or not wise and vice versa.
Everyone who is either not ... | Fred is tall. | neutral | (((creative(fred)<~>~calm(fred)))=>(strong(lucy)))&
((?[X]:((calm(X)<~>~rich(X))))<=>(?[X]:(~calm(X))))&
(![X]:((brave(X)<~>~calm(X))=>(calm(X)&~kind(X))))&
(![X]:((~wise(X)<~>strong(X))<=>(brave(X)<~>~wise(X))))&
(![X]:((~generous(X)<~>rich(X))<=>(kind(X)|~happy(X))))&
((?[X]:((~curious(X)|wise(X))))<=>(~curious(paul)... | tall(fred) | [] | null | 0 |
Everyone who is not generous or not humble is not strong and vice versa.
If mary is both humble and not rich then someone is both creative and kind and vice versa.
Everyone who is either not old or not rich is either old or quiet.
Everyone who is humble or not strong is creative and vice versa.
Everyone who is not wise... | Alice is not creative. | contradiction | (![X]:((~generous(X)|~humble(X))<=>~strong(X)))&
(((humble(mary)&~rich(mary)))<=>(?[X]:((creative(X)&kind(X)))))&
(![X]:((~old(X)<~>~rich(X))=>(old(X)<~>quiet(X))))&
(![X]:((humble(X)|~strong(X))<=>creative(X)))&
(![X]:(~wise(X)=>~happy(X)))&
(![X]:((calm(X)<~>~funny(X))=>(~calm(X)<~>wise(X))))&
((?[X]:((~curious(X)<~>... | ~creative(alice) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6232875918852029567695000
% SZS output start Proof for 6232875918852029567695000
1. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> ~strong(X0)) [input p0]
4. ! [X0] : ((~strong(X0) | humble(X0)) <=> creative(X0)) [input p3]
24. ~creative(alice) [input hypothesis]
38. ! [X0] : (((~humble(X0) ... | 0 |
If someone is not old or old then someone is either not funny or brave and vice versa.
Everyone who is not curious is both quiet and curious and vice versa.
Everyone who is either not happy or funny is both not tall and old.
If paul is both not happy and happy then someone is brave and vice versa.
Everyone who is eithe... | Susan is tall. | contradiction | ((?[X]:((~old(X)|old(X))))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(![X]:(~curious(X)<=>(quiet(X)&curious(X))))&
(![X]:((~happy(X)<~>funny(X))=>(~tall(X)&old(X))))&
(((~happy(paul)&happy(paul)))<=>(?[X]:(brave(X))))&
(![X]:((kind(X)<~>funny(X))<=>calm(X)))&
((?[X]:((strong(X)<~>~generous(X))))=>(?[X]:((quiet(X)&~tall(X))))... | tall(susan) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8512024520872188160143673
% SZS output start Proof for 8512024520872188160143673
2. ! [X0] : (~curious(X0) <=> (curious(X0) & quiet(X0))) [input p1]
22. ~tall(susan) <~> ~curious(susan) [input p21]
23. tall(susan) [input hypothesis]
42. ! [X0] : ((~curious(X0) | (~curious(X0) | ~quiet(X0)... | 0 |
Everyone who is both not generous and not funny is not patient. Everyone who is either old or not strong is not strong or happy. If someone is creative then susan is not calm and vice versa. Everyone who is both quiet and not creative is quiet and vice versa. Everyone who is either strong or tall is old and vice versa.... | Lucy is calm. | neutral | (![X]:((~generous(X)&~funny(X))=>~patient(X)))&
(![X]:((old(X)<~>~strong(X))=>(~strong(X)|happy(X))))&
((?[X]:(creative(X)))<=>(~calm(susan)))&
(![X]:((quiet(X)&~creative(X))<=>quiet(X)))&
(![X]:((strong(X)<~>tall(X))<=>old(X)))&
((?[X]:((~funny(X)<~>~wise(X))))<=>((generous(fred)&~happy(fred))))&
(((rich(mary)<~>~stro... | calm(lucy) | [] | null | 0 |
If lucy is both creative and generous then someone is either tall or humble and vice versa. If lucy is both not humble and tall then someone is not happy or old and vice versa. If paul is not tall or not funny then someone is not happy and vice versa. Everyone who is not kind is creative or not generous. If susan is ei... | John is not tall. | neutral | (((creative(lucy)&generous(lucy)))<=>(?[X]:((tall(X)<~>humble(X)))))&
(((~humble(lucy)&tall(lucy)))<=>(?[X]:((~happy(X)|old(X)))))&
(((~tall(paul)|~funny(paul)))<=>(?[X]:(~happy(X))))&
(![X]:(~kind(X)=>(creative(X)|~generous(X))))&
(((~kind(susan)<~>curious(susan)))<=>(?[X]:(calm(X))))&
((?[X]:((wise(X)<~>creative(X)))... | ~tall(john) | [] | null | 0 |
Everyone who is either not creative or patient is kind or quiet.
Everyone who is quiet or not patient is wise.
If alice is either quiet or not generous then fred is either not tall or not happy.
If someone is both creative and not tall then someone is patient or not wise and vice versa.
If mary is rich then someone is ... | John is not strong. | contradiction | (![X]:((~creative(X)<~>patient(X))=>(kind(X)|quiet(X))))&
(![X]:((quiet(X)|~patient(X))=>wise(X)))&
(((quiet(alice)<~>~generous(alice)))=>((~tall(fred)<~>~happy(fred))))&
((?[X]:((creative(X)&~tall(X))))<=>(?[X]:((patient(X)|~wise(X)))))&
((rich(mary))<=>(?[X]:((happy(X)|~old(X)))))&
((?[X]:((~happy(X)&wise(X))))=>((~g... | ~strong(john) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 867658086622164002241612
% SZS output start Proof for 867658086622164002241612
8. ! [X0] : ((~wise(X0) | ~strong(X0)) <=> (~wise(X0) & patient(X0))) [input p7]
18. wise(john) & ~old(john) [input p17]
25. ~strong(john) [input hypothesis]
50. ! [X0] : (((~wise(X0) | ~strong(X0)) | (wise(X0)... | 0 |
Everyone who is both humble and strong is old and vice versa. Everyone who is both patient and not kind is not kind. Everyone who is either not happy or strong is happy or humble and vice versa. If someone is humble or not wise then someone is rich. Everyone who is not patient is either not quiet or kind and vice versa... | Susan is not strong. | contradiction | (![X]:((humble(X)&strong(X))<=>old(X)))&
(![X]:((patient(X)&~kind(X))=>~kind(X)))&
(![X]:((~happy(X)<~>strong(X))<=>(happy(X)|humble(X))))&
((?[X]:((humble(X)|~wise(X))))=>(?[X]:(rich(X))))&
(![X]:(~patient(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:((strong(X)<~>calm(X))))<=>((curious(susan)|~generous(susan))))&
((?[X]:(qui... | ~strong(susan) | [
"p0",
"p2",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3119676617743465014509441
% SZS output start Proof for 3119676617743465014509441
1. ! [X0] : ((strong(X0) & humble(X0)) <=> old(X0)) [input p0]
3. ! [X0] : ((~happy(X0) <~> strong(X0)) <=> (humble(X0) | happy(X0))) [input p2]
13. ! [X0] : ((humble(X0) | old(X0)) => (brave(X0) & curious(X0... | 0 |
If someone is quiet then someone is not calm and vice versa. If someone is not generous or not rich then fred is both not rich and not happy. If mary is not creative then someone is not brave or not kind. Everyone who is creative or not patient is either happy or humble. Everyone who is both funny and not happy is happ... | John is not creative. | entailment | ((?[X]:(quiet(X)))<=>(?[X]:(~calm(X))))&
((?[X]:((~generous(X)|~rich(X))))=>((~rich(fred)&~happy(fred))))&
((~creative(mary))=>(?[X]:((~brave(X)|~kind(X)))))&
(![X]:((creative(X)|~patient(X))=>(happy(X)<~>humble(X))))&
(![X]:((funny(X)&~happy(X))=>happy(X)))&
(![X]:((~wise(X)<~>rich(X))<=>(kind(X)<~>curious(X))))&
(![X... | ~creative(john) | [
"p6",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3800461826299388943329057
% SZS output start Proof for 3800461826299388943329057
7. ! [X0] : ((kind(X0) & wise(X0)) <=> (calm(X0) | ~funny(X0))) [input p6]
8. ! [X0] : ((creative(X0) <~> ~kind(X0)) => (brave(X0) & ~generous(X0))) [input p7]
14. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> br... | 0 |
If someone is both not kind and wise then john is old.
If fred is wise or not strong then someone is both not creative and wise and vice versa.
Everyone who is either rich or creative is both not calm and tall and vice versa.
Everyone who is both curious and quiet is not brave and vice versa.
If someone is happy or not... | Fred is not quiet. | contradiction | ((?[X]:((~kind(X)&wise(X))))=>(old(john)))&
(((wise(fred)|~strong(fred)))<=>(?[X]:((~creative(X)&wise(X)))))&
(![X]:((rich(X)<~>creative(X))<=>(~calm(X)&tall(X))))&
(![X]:((curious(X)&quiet(X))<=>~brave(X)))&
((?[X]:((happy(X)|~kind(X))))=>(~old(john)))&
(![X]:(wise(X)=>(~happy(X)&~wise(X))))&
((?[X]:(~curious(X)))<=>(... | ~quiet(fred) | [
"p5",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 457560699485349239672502
% SZS output start Proof for 457560699485349239672502
6. ! [X0] : (wise(X0) => (~wise(X0) & ~happy(X0))) [input p5]
10. ! [X0] : ((~quiet(X0) | generous(X0)) => (tall(X0) & creative(X0))) [input p9]
11. (kind(fred) | ~calm(fred)) => ? [X0] : (~tall(X0) & wise(X0))... | 0 |
If someone is rich then someone is either patient or creative and vice versa.
Everyone who is brave is either not curious or not quiet and vice versa.
If paul is both not strong and not wise then someone is brave.
If mary is kind or not tall then susan is generous or not humble.
If someone is generous then john is eith... | Susan is not happy. | neutral | ((?[X]:(rich(X)))<=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:(brave(X)<=>(~curious(X)<~>~quiet(X))))&
(((~strong(paul)&~wise(paul)))=>(?[X]:(brave(X))))&
(((kind(mary)|~tall(mary)))=>((generous(susan)|~humble(susan))))&
((?[X]:(generous(X)))<=>((quiet(john)<~>strong(john))))&
(![X]:((~rich(X)<~>patient(X))=>rich(X))... | ~happy(susan) | [] | null | 0 |
Everyone who is not brave or calm is brave or not funny and vice versa. Everyone who is not creative is rich or patient. If someone is both generous and not brave then someone is both creative and quiet. If fred is not strong or not funny then paul is old and vice versa. Everyone who is not happy is both wise and not o... | Fred is not creative. | contradiction | (![X]:((~brave(X)|calm(X))<=>(brave(X)|~funny(X))))&
(![X]:(~creative(X)=>(rich(X)|patient(X))))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((creative(X)&quiet(X)))))&
(((~strong(fred)|~funny(fred)))<=>(old(paul)))&
(![X]:(~happy(X)<=>(wise(X)&~old(X))))&
(![X]:(rich(X)<=>strong(X)))&
(![X]:((~brave(X)<~>wise(X))<=>(~cr... | ~creative(fred) | [
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 526119647138445486609052
% SZS output start Proof for 526119647138445486609052
5. ! [X0] : (~happy(X0) <=> (~old(X0) & wise(X0))) [input p4]
7. ! [X0] : ((~brave(X0) <~> wise(X0)) <=> (~creative(X0) <~> brave(X0))) [input p6]
16. ! [X0] : ((~creative(X0) | ~kind(X0)) => (creative(X0) | ~h... | 0 |
If someone is either old or not humble then someone is curious.
If someone is both happy and curious then paul is either not old or quiet and vice versa.
Everyone who is strong or not generous is not kind or not old and vice versa.
If someone is either not wise or not tall then someone is both patient and wise.
Everyon... | Alice is not calm. | contradiction | ((?[X]:((old(X)<~>~humble(X))))=>(?[X]:(curious(X))))&
((?[X]:((happy(X)&curious(X))))<=>((~old(paul)<~>quiet(paul))))&
(![X]:((strong(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:((~wise(X)<~>~tall(X))))=>(?[X]:((patient(X)&wise(X)))))&
(![X]:(~happy(X)=>(old(X)|quiet(X))))&
((~wise(alice))<=>(?[X]:(creative(X))))&... | ~calm(alice) | [
"p1",
"p3",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8696180885029110737165278
% SZS output start Proof for 8696180885029110737165278
2. ? [X0] : (curious(X0) & happy(X0)) <=> (~old(paul) <~> quiet(paul)) [input p1]
4. ? [X0] : (~wise(X0) <~> ~tall(X0)) => ? [X0] : (wise(X0) & patient(X0)) [input p3]
7. ? [X0] : ~strong(X0) <=> ? [X0] : tal... | 0 |
Everyone who is either not happy or happy is tall and vice versa.
Everyone who is either not patient or not tall is both wise and tall.
Everyone who is both not kind and old is not creative.
Everyone who is creative or not strong is both strong and curious.
If lucy is either not strong or not creative then someone is b... | Susan is brave. | entailment | (![X]:((~happy(X)<~>happy(X))<=>tall(X)))&
(![X]:((~patient(X)<~>~tall(X))=>(wise(X)&tall(X))))&
(![X]:((~kind(X)&old(X))=>~creative(X)))&
(![X]:((creative(X)|~strong(X))=>(strong(X)&curious(X))))&
(((~strong(lucy)<~>~creative(lucy)))<=>(?[X]:((~happy(X)&~patient(X)))))&
((?[X]:((quiet(X)<~>~wise(X))))<=>(?[X]:(kind(X)... | brave(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 701315862907358435667318
% SZS output start Proof for 701315862907358435667318
18. brave(susan) [input p17]
22. ~brave(susan) [input hypothesis]
132. brave(susan) [cnf transformation 18]
139. ~brave(susan) [cnf transformation 22]
262. $false [subsumption resolution 139,132]
% SZS output e... | 0 |
Everyone who is happy or not curious is both not brave and wise and vice versa.
If paul is not strong or curious then someone is not happy or not old and vice versa.
Everyone who is either wise or not happy is either kind or not rich and vice versa.
If someone is not generous then someone is not old and vice versa.
If ... | Paul is funny. | contradiction | (![X]:((happy(X)|~curious(X))<=>(~brave(X)&wise(X))))&
(((~strong(paul)|curious(paul)))<=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:((wise(X)<~>~happy(X))<=>(kind(X)<~>~rich(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~old(X))))&
((?[X]:((creative(X)|calm(X))))=>((~strong(alice)<~>calm(alice))))&
((?[X]:(creative(X)))=>(~wise(ma... | funny(paul) | [
"p0",
"p1",
"p7",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2035873000115970397986198
% SZS output start Proof for 2035873000115970397986198
1. ! [X0] : ((~curious(X0) | happy(X0)) <=> (wise(X0) & ~brave(X0))) [input p0]
2. (curious(paul) | ~strong(paul)) <=> ? [X0] : (~old(X0) | ~happy(X0)) [input p1]
8. ! [X0] : (~brave(X0) => strong(X0)) [input... | 0 |
Everyone who is strong is both not wise and rich. If lucy is not creative or not strong then susan is either not tall or patient. If someone is not rich then someone is either not humble or kind. If someone is not quiet or not curious then fred is kind or humble and vice versa. Everyone who is either quiet or not rich ... | Mary is not happy. | entailment | (![X]:(strong(X)=>(~wise(X)&rich(X))))&
(((~creative(lucy)|~strong(lucy)))=>((~tall(susan)<~>patient(susan))))&
((?[X]:(~rich(X)))=>(?[X]:((~humble(X)<~>kind(X)))))&
((?[X]:((~quiet(X)|~curious(X))))<=>((kind(fred)|humble(fred))))&
(![X]:((quiet(X)<~>~rich(X))<=>(~strong(X)|~quiet(X))))&
(((~funny(susan)&humble(susan))... | ~happy(mary) | [
"p0",
"p2",
"p4",
"p6",
"p7",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3146422080633304218127954
% SZS output start Proof for 3146422080633304218127954
1. ! [X0] : (strong(X0) => (rich(X0) & ~wise(X0))) [input p0]
3. ? [X0] : ~rich(X0) => ? [X0] : (~humble(X0) <~> kind(X0)) [input p2]
5. ! [X0] : ((quiet(X0) <~> ~rich(X0)) <=> (~quiet(X0) | ~strong(X0))) [in... | 0 |
If susan is not generous or wise then someone is generous and vice versa.
Everyone who is both kind and funny is both funny and not happy.
Everyone who is either not quiet or strong is either creative or curious.
If paul is either not funny or old then john is both happy and funny and vice versa.
Everyone who is not ri... | Fred is happy. | contradiction | (((~generous(susan)|wise(susan)))<=>(?[X]:(generous(X))))&
(![X]:((kind(X)&funny(X))=>(funny(X)&~happy(X))))&
(![X]:((~quiet(X)<~>strong(X))=>(creative(X)<~>curious(X))))&
(((~funny(paul)<~>old(paul)))<=>((happy(john)&funny(john))))&
(![X]:((~rich(X)|~funny(X))<=>(kind(X)&wise(X))))&
(((~funny(lucy)&~strong(lucy)))<=>(... | happy(fred) | [
"p1",
"p4",
"p5",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8310105453183597162358990
% SZS output start Proof for 8310105453183597162358990
2. ! [X0] : ((funny(X0) & kind(X0)) => (~happy(X0) & funny(X0))) [input p1]
5. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (wise(X0) & kind(X0))) [input p4]
6. (~strong(lucy) & ~funny(lucy)) <=> ? [X0] : rich(X0) ... | 0 |
If susan is tall then john is either not humble or not wise.
Everyone who is either not creative or quiet is not rich or not generous.
If someone is happy then alice is happy or not curious.
Everyone who is not tall or happy is creative and vice versa.
Everyone who is funny is not curious.
If someone is either happy or... | Susan is not brave. | entailment | ((tall(susan))=>((~humble(john)<~>~wise(john))))&
(![X]:((~creative(X)<~>quiet(X))=>(~rich(X)|~generous(X))))&
((?[X]:(happy(X)))=>((happy(alice)|~curious(alice))))&
(![X]:((~tall(X)|happy(X))<=>creative(X)))&
(![X]:(funny(X)=>~curious(X)))&
((?[X]:((happy(X)<~>~generous(X))))<=>(?[X]:((brave(X)|calm(X)))))&
(![X]:((~c... | ~brave(susan) | [
"p3",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 87076362233119553492819
% SZS output start Proof for 87076362233119553492819
4. ! [X0] : ((happy(X0) | ~tall(X0)) <=> creative(X0)) [input p3]
6. ? [X0] : (happy(X0) <~> ~generous(X0)) <=> ? [X0] : (calm(X0) | brave(X0)) [input p5]
8. ? [X0] : (~tall(X0) | generous(X0)) => ~creative(alice... | 0 |
If alice is either curious or not brave then mary is brave and vice versa. Everyone who is happy or not calm is patient and vice versa. Everyone who is not old is both strong and not tall. Everyone who is either not creative or brave is happy or not tall. If alice is rich or wise then john is funny. Everyone who is eit... | Susan is not funny. | contradiction | (((curious(alice)<~>~brave(alice)))<=>(brave(mary)))&
(![X]:((happy(X)|~calm(X))<=>patient(X)))&
(![X]:(~old(X)=>(strong(X)&~tall(X))))&
(![X]:((~creative(X)<~>brave(X))=>(happy(X)|~tall(X))))&
(((rich(alice)|wise(alice)))=>(funny(john)))&
(![X]:((~tall(X)<~>quiet(X))<=>creative(X)))&
((?[X]:(~creative(X)))=>(~tall(pau... | ~funny(susan) | [
"p1",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3980701040096472591552506
% SZS output start Proof for 3980701040096472591552506
2. ! [X0] : ((~calm(X0) | happy(X0)) <=> patient(X0)) [input p1]
14. ! [X0] : ((patient(X0) <~> kind(X0)) <=> calm(X0)) [input p13]
16. ! [X0] : ((wise(X0) | ~funny(X0)) <=> (~kind(X0) & quiet(X0))) [input p1... | 0 |
If lucy is both tall and patient then alice is either kind or calm. If susan is either not wise or not strong then someone is both curious and calm and vice versa. Everyone who is not strong is both old and calm and vice versa. Everyone who is both not strong and humble is funny and vice versa. If someone is old or not... | Fred is not calm. | contradiction | (((tall(lucy)&patient(lucy)))=>((kind(alice)<~>calm(alice))))&
(((~wise(susan)<~>~strong(susan)))<=>(?[X]:((curious(X)&calm(X)))))&
(![X]:(~strong(X)<=>(old(X)&calm(X))))&
(![X]:((~strong(X)&humble(X))<=>funny(X)))&
((?[X]:((old(X)|~calm(X))))=>((~strong(mary)&patient(mary))))&
(![X]:((creative(X)|~old(X))<=>(kind(X)<~... | ~calm(fred) | [
"p2",
"p4",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6647572231713365091434097
% SZS output start Proof for 6647572231713365091434097
3. ! [X0] : (~strong(X0) <=> (calm(X0) & old(X0))) [input p2]
5. ? [X0] : (~calm(X0) | old(X0)) => (patient(mary) & ~strong(mary)) [input p4]
6. ! [X0] : ((~old(X0) | creative(X0)) <=> (kind(X0) <~> ~creative... | 0 |
Everyone who is quiet or tall is both funny and not old and vice versa. Everyone who is both not kind and not rich is strong. Everyone who is old is both not generous and not kind. Everyone who is not quiet is not wise. If someone is both calm and not curious then someone is quiet or wise. If someone is not calm or not... | Paul is not tall. | neutral | (![X]:((quiet(X)|tall(X))<=>(funny(X)&~old(X))))&
(![X]:((~kind(X)&~rich(X))=>strong(X)))&
(![X]:(old(X)=>(~generous(X)&~kind(X))))&
(![X]:(~quiet(X)=>~wise(X)))&
((?[X]:((calm(X)&~curious(X))))=>(?[X]:((quiet(X)|wise(X)))))&
((?[X]:((~calm(X)|~wise(X))))=>(?[X]:((~kind(X)&~old(X)))))&
(![X]:((~brave(X)&~tall(X))=>~gen... | ~tall(paul) | [] | null | 0 |
Everyone who is either not happy or kind is both curious and funny and vice versa.
If lucy is not happy or funny then someone is either wise or rich.
If fred is not creative or not tall then someone is either generous or not creative.
Everyone who is old is either not patient or old.
If susan is either curious or not c... | Fred is old. | contradiction | (![X]:((~happy(X)<~>kind(X))<=>(curious(X)&funny(X))))&
(((~happy(lucy)|funny(lucy)))=>(?[X]:((wise(X)<~>rich(X)))))&
(((~creative(fred)|~tall(fred)))=>(?[X]:((generous(X)<~>~creative(X)))))&
(![X]:(old(X)=>(~patient(X)<~>old(X))))&
(((curious(susan)<~>~curious(susan)))<=>((quiet(lucy)|~brave(lucy))))&
(![X]:(tall(X)=>... | old(fred) | [
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5666314216032389057908168
% SZS output start Proof for 5666314216032389057908168
4. ! [X0] : (old(X0) => (~patient(X0) <~> old(X0))) [input p3]
10. ! [X0] : ((old(X0) <~> wise(X0)) => ~patient(X0)) [input p9]
15. ! [X0] : ((humble(X0) | old(X0)) => (~wise(X0) & brave(X0))) [input p14]
25.... | 0 |
Everyone who is both patient and not kind is not happy or not patient. Everyone who is generous is old or calm and vice versa. If someone is not wise or not creative then someone is both happy and not old. If someone is not strong or not funny then fred is brave or not rich. Everyone who is both calm and not tall is fu... | Fred is not patient. | neutral | (![X]:((patient(X)&~kind(X))=>(~happy(X)|~patient(X))))&
(![X]:(generous(X)<=>(old(X)|calm(X))))&
((?[X]:((~wise(X)|~creative(X))))=>(?[X]:((happy(X)&~old(X)))))&
((?[X]:((~strong(X)|~funny(X))))=>((brave(fred)|~rich(fred))))&
(![X]:((calm(X)&~tall(X))<=>funny(X)))&
((?[X]:((happy(X)<~>tall(X))))=>(?[X]:((curious(X)&~c... | ~patient(fred) | [] | null | 0 |
If someone is either not humble or not old then alice is both not tall and happy.
If someone is either happy or not old then susan is either not strong or patient and vice versa.
Everyone who is not patient or not happy is either rich or old and vice versa.
Everyone who is quiet or kind is calm and vice versa.
Everyone... | Alice is brave. | entailment | ((?[X]:((~humble(X)<~>~old(X))))=>((~tall(alice)&happy(alice))))&
((?[X]:((happy(X)<~>~old(X))))<=>((~strong(susan)<~>patient(susan))))&
(![X]:((~patient(X)|~happy(X))<=>(rich(X)<~>old(X))))&
(![X]:((quiet(X)|kind(X))<=>calm(X)))&
(![X]:((wise(X)|humble(X))<=>(humble(X)|~curious(X))))&
(![X]:((curious(X)|~strong(X))<=>... | brave(alice) | [
"p3",
"p5",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4930774186201473665182984
% SZS output start Proof for 4930774186201473665182984
4. ! [X0] : ((kind(X0) | quiet(X0)) <=> calm(X0)) [input p3]
6. ! [X0] : ((~strong(X0) | curious(X0)) <=> (~old(X0) & creative(X0))) [input p5]
11. ? [X0] : (~old(X0) | ~happy(X0)) => (tall(alice) & brave(ali... | 0 |
Everyone who is tall is not tall.
Everyone who is both not humble and happy is not funny and vice versa.
If someone is either happy or generous then alice is either brave or rich and vice versa.
If susan is either not tall or strong then someone is both not creative and humble and vice versa.
Everyone who is either tal... | Alice is calm. | entailment | (![X]:(tall(X)=>~tall(X)))&
(![X]:((~humble(X)&happy(X))<=>~funny(X)))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(alice)<~>rich(alice))))&
(((~tall(susan)<~>strong(susan)))<=>(?[X]:((~creative(X)&humble(X)))))&
(![X]:((tall(X)<~>funny(X))<=>(funny(X)<~>~humble(X))))&
(((~calm(mary)<~>~generous(mary)))=>(?[X]:(kind(X... | calm(alice) | [
"p0",
"p1",
"p4",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4616801461837543490956403
% SZS output start Proof for 4616801461837543490956403
1. ! [X0] : (tall(X0) => ~tall(X0)) [input p0]
2. ! [X0] : ((happy(X0) & ~humble(X0)) <=> ~funny(X0)) [input p1]
5. ! [X0] : ((tall(X0) <~> funny(X0)) <=> (funny(X0) <~> ~humble(X0))) [input p4]
11. ! [X0] : ... | 0 |
If susan is either funny or not wise then someone is both funny and tall and vice versa.
If lucy is quiet then someone is both kind and not tall.
If john is either generous or patient then john is both calm and not quiet.
Everyone who is wise is not calm and vice versa.
Everyone who is both not generous and not tall is... | Fred is happy. | contradiction | (((funny(susan)<~>~wise(susan)))<=>(?[X]:((funny(X)&tall(X)))))&
((quiet(lucy))=>(?[X]:((kind(X)&~tall(X)))))&
(((generous(john)<~>patient(john)))=>((calm(john)&~quiet(john))))&
(![X]:(wise(X)<=>~calm(X)))&
(![X]:((~generous(X)&~tall(X))=>(~tall(X)&~brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((generous(fred)&happy(f... | happy(fred) | [
"p4",
"p7",
"p8",
"p11",
"p12",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2637613960555970567633357
% SZS output start Proof for 2637613960555970567633357
5. ! [X0] : ((~tall(X0) & ~generous(X0)) => (~brave(X0) & ~tall(X0))) [input p4]
8. brave(fred) <=> ? [X0] : (~calm(X0) | creative(X0)) [input p7]
9. ! [X0] : ((patient(X0) & ~strong(X0)) <=> ~patient(X0)) [i... | 0 |
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