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 either not happy or not funny is both humble and strong and vice versa.
Everyone who is not old is either patient or not wise and vice versa.
Everyone who is humble or curious is both not old and not wise.
If someone is not rich or not strong then alice is both not curious and not calm.
If someone is fu... | Susan is curious. | contradiction | (![X]:((~happy(X)<~>~funny(X))<=>(humble(X)&strong(X))))&
(![X]:(~old(X)<=>(patient(X)<~>~wise(X))))&
(![X]:((humble(X)|curious(X))=>(~old(X)&~wise(X))))&
((?[X]:((~rich(X)|~strong(X))))=>((~curious(alice)&~calm(alice))))&
((?[X]:((funny(X)|~rich(X))))=>(?[X]:(~strong(X))))&
(![X]:(~rich(X)=>~kind(X)))&
((funny(paul))<... | curious(susan) | [
"p1",
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5672709570717484260516099
% SZS output start Proof for 5672709570717484260516099
2. ! [X0] : (~old(X0) <=> (patient(X0) <~> ~wise(X0))) [input p1]
3. ! [X0] : ((curious(X0) | humble(X0)) => (~wise(X0) & ~old(X0))) [input p2]
9. ? [X0] : (~wise(X0) & wise(X0)) <=> ? [X0] : ~patient(X0) [in... | 0 |
If alice is funny or humble then fred is both brave and not wise and vice versa.
Everyone who is both not quiet and rich is not creative.
If someone is either wise or calm then lucy is either not calm or generous.
If someone is old or not patient then someone is not creative.
If someone is not happy or not kind then su... | Alice is funny. | neutral | (((funny(alice)|humble(alice)))<=>((brave(fred)&~wise(fred))))&
(![X]:((~quiet(X)&rich(X))=>~creative(X)))&
((?[X]:((wise(X)<~>calm(X))))=>((~calm(lucy)<~>generous(lucy))))&
((?[X]:((old(X)|~patient(X))))=>(?[X]:(~creative(X))))&
((?[X]:((~happy(X)|~kind(X))))=>((tall(susan)|creative(susan))))&
(![X]:((funny(X)&curious... | funny(alice) | [] | null | 0 |
Everyone who is creative or not brave is happy. If lucy is not creative then someone is either rich or not wise. If someone is either not patient or not old then someone is both not happy and not humble. If alice is not patient or old then lucy is not curious. If mary is either not humble or creative then someone is ei... | Alice is not old. | contradiction | (![X]:((creative(X)|~brave(X))=>happy(X)))&
((~creative(lucy))=>(?[X]:((rich(X)<~>~wise(X)))))&
((?[X]:((~patient(X)<~>~old(X))))=>(?[X]:((~happy(X)&~humble(X)))))&
(((~patient(alice)|old(alice)))=>(~curious(lucy)))&
(((~humble(mary)<~>creative(mary)))=>(?[X]:((~strong(X)<~>quiet(X)))))&
((?[X]:((~curious(X)&~kind(X)))... | ~old(alice) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1038248470384367755899602
% SZS output start Proof for 1038248470384367755899602
10. ! [X0] : (old(X0) <=> ~calm(X0)) [input p9]
20. ~calm(alice) [input p19]
25. ~old(alice) [input hypothesis]
57. ! [X0] : ((old(X0) | calm(X0)) & (~calm(X0) | ~old(X0))) [nnf transformation 10]
111. calm(X... | 0 |
If susan is happy then someone is both not patient and patient.
Everyone who is not rich or not kind is not tall or tall and vice versa.
Everyone who is not humble or strong is both not happy and not curious and vice versa.
If paul is not old or funny then someone is not wise and vice versa.
Everyone who is not funny o... | Paul is calm. | neutral | ((happy(susan))=>(?[X]:((~patient(X)&patient(X)))))&
(![X]:((~rich(X)|~kind(X))<=>(~tall(X)|tall(X))))&
(![X]:((~humble(X)|strong(X))<=>(~happy(X)&~curious(X))))&
(((~old(paul)|funny(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|curious(X))<=>patient(X)))&
((?[X]:((humble(X)<~>~curious(X))))<=>(?[X]:(~kind(X))))&
((?... | calm(paul) | [] | null | 0 |
If someone is generous or not tall then someone is rich or funny and vice versa.
If lucy is not funny then someone is either strong or not creative and vice versa.
Everyone who is humble is either calm or patient and vice versa.
Everyone who is either not quiet or creative is tall.
If someone is strong or not happy the... | Alice is not brave. | neutral | ((?[X]:((generous(X)|~tall(X))))<=>(?[X]:((rich(X)|funny(X)))))&
((~funny(lucy))<=>(?[X]:((strong(X)<~>~creative(X)))))&
(![X]:(humble(X)<=>(calm(X)<~>patient(X))))&
(![X]:((~quiet(X)<~>creative(X))=>tall(X)))&
((?[X]:((strong(X)|~happy(X))))=>(?[X]:((curious(X)|~patient(X)))))&
((?[X]:((~strong(X)&~quiet(X))))<=>(?[X]... | ~brave(alice) | [] | null | 0 |
Everyone who is patient or not patient is both not patient and not generous.
If fred is either kind or calm then someone is not kind.
Everyone who is not tall or not patient is not strong.
Everyone who is brave is either not funny or not wise and vice versa.
If alice is not curious or tall then lucy is strong or not ge... | Lucy is not wise. | entailment | (![X]:((patient(X)|~patient(X))=>(~patient(X)&~generous(X))))&
(((kind(fred)<~>calm(fred)))=>(?[X]:(~kind(X))))&
(![X]:((~tall(X)|~patient(X))=>~strong(X)))&
(![X]:(brave(X)<=>(~funny(X)<~>~wise(X))))&
(((~curious(alice)|tall(alice)))<=>((strong(lucy)|~generous(lucy))))&
((?[X]:((~happy(X)<~>funny(X))))=>(~old(susan)))... | ~wise(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 9064581753881456543237419
% SZS output start Proof for 9064581753881456543237419
8. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> (funny(X0) & ~wise(X0))) [input p7]
25. wise(lucy) [input hypothesis]
45. ! [X0] : ((((~happy(X0) | happy(X0)) & (happy(X0) | ~happy(X0))) | (~funny(X0) | wise(X0))... | 0 |
Everyone who is either not happy or not rich is either not humble or generous and vice versa.
If john is either kind or creative then someone is either not wise or not brave and vice versa.
If someone is either wise or kind then someone is not patient.
Everyone who is not rich or not curious is both not quiet and not f... | Alice is calm. | entailment | (![X]:((~happy(X)<~>~rich(X))<=>(~humble(X)<~>generous(X))))&
(((kind(john)<~>creative(john)))<=>(?[X]:((~wise(X)<~>~brave(X)))))&
((?[X]:((wise(X)<~>kind(X))))=>(?[X]:(~patient(X))))&
(![X]:((~rich(X)|~curious(X))<=>(~quiet(X)&~funny(X))))&
((?[X]:((wise(X)|generous(X))))=>((~patient(susan)&quiet(susan))))&
((?[X]:(~c... | calm(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1007306047270462183763356
% SZS output start Proof for 1007306047270462183763356
20. calm(alice) & ~creative(alice) [input p19]
25. ~calm(alice) [input hypothesis]
139. calm(alice) [cnf transformation 20]
146. ~calm(alice) [cnf transformation 25]
288. 31 <=> calm(alice) [avatar definition... | 0 |
If someone is not strong then fred is strong or not kind.
If someone is either generous or not kind then alice is both not wise and tall and vice versa.
Everyone who is creative or patient is not strong or not generous and vice versa.
Everyone who is either not creative or not strong is both curious and not tall.
If so... | Mary is not creative. | contradiction | ((?[X]:(~strong(X)))=>((strong(fred)|~kind(fred))))&
((?[X]:((generous(X)<~>~kind(X))))<=>((~wise(alice)&tall(alice))))&
(![X]:((creative(X)|patient(X))<=>(~strong(X)|~generous(X))))&
(![X]:((~creative(X)<~>~strong(X))=>(curious(X)&~tall(X))))&
((?[X]:(generous(X)))=>((happy(john)&rich(john))))&
((rich(lucy))<=>(?[X]:(... | ~creative(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7138992348929622354903725
% SZS output start Proof for 7138992348929622354903725
20. creative(mary) [input p19]
25. ~creative(mary) [input hypothesis]
153. creative(mary) [cnf transformation 20]
160. ~creative(mary) [cnf transformation 25]
403. $false [subsumption resolution 160,153]
% SZ... | 0 |
If someone is not curious or happy then someone is calm or wise. Everyone who is curious or tall is funny and vice versa. If fred is not happy or kind then someone is both patient and not old and vice versa. Everyone who is both rich and not curious is either happy or kind and vice versa. Everyone who is both not patie... | Fred is not quiet. | neutral | ((?[X]:((~curious(X)|happy(X))))=>(?[X]:((calm(X)|wise(X)))))&
(![X]:((curious(X)|tall(X))<=>funny(X)))&
(((~happy(fred)|kind(fred)))<=>(?[X]:((patient(X)&~old(X)))))&
(![X]:((rich(X)&~curious(X))<=>(happy(X)<~>kind(X))))&
(![X]:((~patient(X)&strong(X))=>(~rich(X)&generous(X))))&
(![X]:((~brave(X)&funny(X))<=>(patient(... | ~quiet(fred) | [] | null | 0 |
Everyone who is funny is either not brave or rich. Everyone who is either not calm or generous is both patient and not curious and vice versa. Everyone who is both not rich and brave is not calm or generous. Everyone who is either not patient or wise is either happy or not creative. If fred is not curious then someone ... | Susan is happy. | neutral | (![X]:(funny(X)=>(~brave(X)<~>rich(X))))&
(![X]:((~calm(X)<~>generous(X))<=>(patient(X)&~curious(X))))&
(![X]:((~rich(X)&brave(X))=>(~calm(X)|generous(X))))&
(![X]:((~patient(X)<~>wise(X))=>(happy(X)<~>~creative(X))))&
((~curious(fred))<=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((strong(X)|~funny(X))<=>(~humble(X)&~quiet(X... | happy(susan) | [] | null | 0 |
Everyone who is not creative or strong is either kind or wise. Everyone who is either wise or funny is either not old or old. Everyone who is tall is creative. If someone is both old and not happy then john is not rich or not patient. Everyone who is creative is curious and vice versa. If someone is generous or not pat... | John is curious. | neutral | (![X]:((~creative(X)|strong(X))=>(kind(X)<~>wise(X))))&
(![X]:((wise(X)<~>funny(X))=>(~old(X)<~>old(X))))&
(![X]:(tall(X)=>creative(X)))&
((?[X]:((old(X)&~happy(X))))=>((~rich(john)|~patient(john))))&
(![X]:(creative(X)<=>curious(X)))&
((?[X]:((generous(X)|~patient(X))))=>((~curious(paul)<~>~creative(paul))))&
(![X]:((... | curious(john) | [] | null | 0 |
Everyone who is both not quiet and not brave is both calm and generous.
Everyone who is wise or patient is either not strong or happy and vice versa.
If someone is creative or not kind then alice is both not tall and not quiet.
Everyone who is humble is quiet or patient.
If susan is both humble and not brave then susan... | Fred is not tall. | entailment | (![X]:((~quiet(X)&~brave(X))=>(calm(X)&generous(X))))&
(![X]:((wise(X)|patient(X))<=>(~strong(X)<~>happy(X))))&
((?[X]:((creative(X)|~kind(X))))=>((~tall(alice)&~quiet(alice))))&
(![X]:(humble(X)=>(quiet(X)|patient(X))))&
(((humble(susan)&~brave(susan)))=>((wise(susan)|patient(susan))))&
((?[X]:((creative(X)<~>~brave(X... | ~tall(fred) | [
"p2",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 243379461002387110311323
% SZS output start Proof for 243379461002387110311323
3. ? [X0] : (~kind(X0) | creative(X0)) => (~quiet(alice) & ~tall(alice)) [input p2]
13. ! [X0] : ((kind(X0) | generous(X0)) => ~tall(X0)) [input p12]
14. ! [X0] : ((~quiet(X0) & patient(X0)) <=> ~patient(X0)) [... | 0 |
If someone is either kind or not creative then susan is both generous and not rich.
Everyone who is rich or strong is both not tall and funny.
Everyone who is not tall or happy is both not calm and curious and vice versa.
If someone is both not brave and old then john is both calm and rich.
Everyone who is curious is e... | Mary is rich. | entailment | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((rich(X)|strong(X))=>(~tall(X)&funny(X))))&
(![X]:((~tall(X)|happy(X))<=>(~calm(X)&curious(X))))&
((?[X]:((~brave(X)&old(X))))=>((calm(john)&rich(john))))&
(![X]:(curious(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|k... | rich(mary) | [
"p5",
"p7",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9007003900453016993138017
% SZS output start Proof for 9007003900453016993138017
6. ! [X0] : ((~tall(X0) & rich(X0)) <=> (kind(X0) | ~funny(X0))) [input p5]
8. (creative(mary) & ~calm(mary)) <=> (curious(susan) | brave(susan)) [input p7]
13. (~kind(mary) <~> ~creative(mary)) <=> (~generou... | 0 |
Everyone who is not old is quiet or not tall.
If fred is either not creative or not old then fred is both generous and tall.
If lucy is either humble or brave then john is either old or not old and vice versa.
Everyone who is either strong or not curious is either not patient or not curious.
Everyone who is both not ki... | Mary is quiet. | entailment | (![X]:(~old(X)=>(quiet(X)|~tall(X))))&
(((~creative(fred)<~>~old(fred)))=>((generous(fred)&tall(fred))))&
(((humble(lucy)<~>brave(lucy)))<=>((old(john)<~>~old(john))))&
(![X]:((strong(X)<~>~curious(X))=>(~patient(X)<~>~curious(X))))&
(![X]:((~kind(X)&humble(X))=>(old(X)<~>~happy(X))))&
((?[X]:((rich(X)<~>patient(X))))<... | quiet(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3841431852635044011310424
% SZS output start Proof for 3841431852635044011310424
22. quiet(mary) & ~wise(mary) [input p21]
25. ~quiet(mary) [input hypothesis]
146. quiet(mary) [cnf transformation 22]
151. ~quiet(mary) [cnf transformation 25]
343. $false [subsumption resolution 151,146]
% ... | 0 |
If paul is patient then mary is either not strong or old. Everyone who is funny is wise or rich and vice versa. If someone is not old then susan is either not strong or happy. Everyone who is either creative or not strong is not humble or patient and vice versa. Everyone who is both not funny and generous is wise or ta... | Susan is old. | contradiction | ((patient(paul))=>((~strong(mary)<~>old(mary))))&
(![X]:(funny(X)<=>(wise(X)|rich(X))))&
((?[X]:(~old(X)))=>((~strong(susan)<~>happy(susan))))&
(![X]:((creative(X)<~>~strong(X))<=>(~humble(X)|patient(X))))&
(![X]:((~funny(X)&generous(X))<=>(wise(X)|tall(X))))&
(((calm(john)|strong(john)))=>((~calm(susan)&~humble(susan)... | old(susan) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7718443056269103965866955
% SZS output start Proof for 7718443056269103965866955
2. ! [X0] : (funny(X0) <=> (rich(X0) | wise(X0))) [input p1]
4. ! [X0] : ((creative(X0) <~> ~strong(X0)) <=> (patient(X0) | ~humble(X0))) [input p3]
5. ! [X0] : ((generous(X0) & ~funny(X0)) <=> (tall(X0) | wi... | 0 |
If fred is either not strong or calm then someone is brave.
If mary is either not wise or not humble then someone is either not rich or not strong and vice versa.
Everyone who is old or not rich is curious.
If mary is both kind and not humble then someone is wise.
Everyone who is happy is either not generous or not cur... | John is calm. | neutral | (((~strong(fred)<~>calm(fred)))=>(?[X]:(brave(X))))&
(((~wise(mary)<~>~humble(mary)))<=>(?[X]:((~rich(X)<~>~strong(X)))))&
(![X]:((old(X)|~rich(X))=>curious(X)))&
(((kind(mary)&~humble(mary)))=>(?[X]:(wise(X))))&
(![X]:(happy(X)<=>(~generous(X)<~>~curious(X))))&
((~rich(paul))=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:((~... | calm(john) | [] | null | 0 |
Everyone who is calm or not funny is both rich and not tall. Everyone who is curious is both not funny and not happy. Everyone who is both quiet and not generous is either funny or wise. Everyone who is either brave or not funny is both kind and not happy and vice versa. If paul is both not calm and humble then paul is... | Paul is brave. | contradiction | (![X]:((calm(X)|~funny(X))=>(rich(X)&~tall(X))))&
(![X]:(curious(X)=>(~funny(X)&~happy(X))))&
(![X]:((quiet(X)&~generous(X))=>(funny(X)<~>wise(X))))&
(![X]:((brave(X)<~>~funny(X))<=>(kind(X)&~happy(X))))&
(((~calm(paul)&humble(paul)))=>((humble(paul)&~tall(paul))))&
(![X]:((funny(X)|~generous(X))<=>(~funny(X)<~>brave(X... | brave(paul) | [
"p0",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5482840102226865751800214
% SZS output start Proof for 5482840102226865751800214
1. ! [X0] : ((~funny(X0) | calm(X0)) => (~tall(X0) & rich(X0))) [input p0]
6. ! [X0] : ((~generous(X0) | funny(X0)) <=> (~funny(X0) <~> brave(X0))) [input p5]
14. (~tall(mary) | ~wise(mary)) <=> (~brave(paul)... | 0 |
If someone is either not humble or not kind then someone is curious or funny and vice versa.
Everyone who is either not quiet or not creative is both not strong and not kind and vice versa.
Everyone who is calm is not old or not calm and vice versa.
Everyone who is not generous is both not calm and curious and vice ver... | John is wise. | entailment | ((?[X]:((~humble(X)<~>~kind(X))))<=>(?[X]:((curious(X)|funny(X)))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(~strong(X)&~kind(X))))&
(![X]:(calm(X)<=>(~old(X)|~calm(X))))&
(![X]:(~generous(X)<=>(~calm(X)&curious(X))))&
((?[X]:(~humble(X)))<=>(old(alice)))&
(![X]:((~generous(X)<~>~strong(X))<=>(funny(X)|rich(X))))&
(![X]:(... | wise(john) | [
"p2",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9203311721130506198433150
% SZS output start Proof for 9203311721130506198433150
3. ! [X0] : (calm(X0) <=> (~calm(X0) | ~old(X0))) [input p2]
7. ! [X0] : (~wise(X0) <=> (old(X0) <~> ~strong(X0))) [input p6]
15. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> brave(X0)) [input p14]
19. ~wise(joh... | 0 |
If someone is both not brave and not patient then someone is either not happy or old and vice versa.
If fred is either not brave or not creative then mary is either curious or not creative and vice versa.
If paul is both tall and not generous then someone is either strong or not happy and vice versa.
Everyone who is st... | Lucy is not strong. | contradiction | ((?[X]:((~brave(X)&~patient(X))))<=>(?[X]:((~happy(X)<~>old(X)))))&
(((~brave(fred)<~>~creative(fred)))<=>((curious(mary)<~>~creative(mary))))&
(((tall(paul)&~generous(paul)))<=>(?[X]:((strong(X)<~>~happy(X)))))&
(![X]:(strong(X)<=>(old(X)&humble(X))))&
((?[X]:(patient(X)))<=>(?[X]:((happy(X)|~quiet(X)))))&
(![X]:((~qu... | ~strong(lucy) | [
"p2",
"p3",
"p5",
"p9",
"p10",
"p12",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 363027621286702007586798
% SZS output start Proof for 363027621286702007586798
3. (~generous(paul) & tall(paul)) <=> ? [X0] : (strong(X0) <~> ~happy(X0)) [input p2]
4. ! [X0] : (strong(X0) <=> (humble(X0) & old(X0))) [input p3]
6. ! [X0] : ((~humble(X0) & ~quiet(X0)) <=> (patient(X0) & ta... | 0 |
Everyone who is not brave is not wise.
Everyone who is both creative and not old is not tall and vice versa.
Everyone who is not rich or brave is not calm or old.
Everyone who is both not strong and curious is not rich or humble and vice versa.
Everyone who is either kind or not curious is either brave or curious.
If f... | Fred is brave. | neutral | (![X]:(~brave(X)=>~wise(X)))&
(![X]:((creative(X)&~old(X))<=>~tall(X)))&
(![X]:((~rich(X)|brave(X))=>(~calm(X)|old(X))))&
(![X]:((~strong(X)&curious(X))<=>(~rich(X)|humble(X))))&
(![X]:((kind(X)<~>~curious(X))=>(brave(X)<~>curious(X))))&
(((tall(fred)&old(fred)))<=>(?[X]:((quiet(X)<~>funny(X)))))&
(![X]:((~tall(X)<~>qu... | brave(fred) | [] | null | 0 |
Everyone who is both not generous and not kind is either kind or not tall and vice versa. If someone is either not kind or not curious then someone is either not old or not wise. Everyone who is funny is either not kind or not funny. Everyone who is both not strong and generous is not generous or not quiet. Everyone wh... | Lucy is not tall. | entailment | (![X]:((~generous(X)&~kind(X))<=>(kind(X)<~>~tall(X))))&
((?[X]:((~kind(X)<~>~curious(X))))=>(?[X]:((~old(X)<~>~wise(X)))))&
(![X]:(funny(X)=>(~kind(X)<~>~funny(X))))&
(![X]:((~strong(X)&generous(X))=>(~generous(X)|~quiet(X))))&
(![X]:((~kind(X)|happy(X))=>(~tall(X)|~rich(X))))&
(((~wise(susan)<~>creative(susan)))<=>(?... | ~tall(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5404627676018421777349060
% SZS output start Proof for 5404627676018421777349060
21. kind(lucy) & ~tall(lucy) [input p20]
25. tall(lucy) [input hypothesis]
127. ~tall(lucy) [cnf transformation 21]
134. tall(lucy) [cnf transformation 25]
254. $false [subsumption resolution 134,127]
% SZS o... | 0 |
Everyone who is either generous or not kind is not rich or not strong and vice versa. Everyone who is either brave or not tall is either patient or not generous and vice versa. If fred is either brave or not patient then susan is not calm and vice versa. Everyone who is quiet or not curious is both quiet and rich. If m... | Fred is generous. | entailment | (![X]:((generous(X)<~>~kind(X))<=>(~rich(X)|~strong(X))))&
(![X]:((brave(X)<~>~tall(X))<=>(patient(X)<~>~generous(X))))&
(((brave(fred)<~>~patient(fred)))<=>(~calm(susan)))&
(![X]:((quiet(X)|~curious(X))=>(quiet(X)&rich(X))))&
(((~old(mary)|~rich(mary)))=>(?[X]:(strong(X))))&
(((~rich(fred)&~funny(fred)))<=>((~funny(su... | generous(fred) | [
"p0",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 120879009327381932832840
% SZS output start Proof for 120879009327381932832840
1. ! [X0] : ((generous(X0) <~> ~kind(X0)) <=> (~strong(X0) | ~rich(X0))) [input p0]
22. kind(fred) & ~rich(fred) [input p21]
24. ~generous(fred) [input hypothesis]
37. ! [X0] : ((((kind(X0) | ~generous(X0)) & (... | 0 |
If alice is not generous then fred is both generous and not curious and vice versa.
If someone is generous or old then fred is strong or tall.
Everyone who is wise or not wise is both not brave and old.
Everyone who is either kind or not tall is either not curious or not strong.
Everyone who is either not wise or not g... | Lucy is not generous. | contradiction | ((~generous(alice))<=>((generous(fred)&~curious(fred))))&
((?[X]:((generous(X)|old(X))))=>((strong(fred)|tall(fred))))&
(![X]:((wise(X)|~wise(X))=>(~brave(X)&old(X))))&
(![X]:((kind(X)<~>~tall(X))=>(~curious(X)<~>~strong(X))))&
(![X]:((~wise(X)<~>~generous(X))<=>(creative(X)<~>~funny(X))))&
((?[X]:(tall(X)))<=>((~calm(... | ~generous(lucy) | [
"p8",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4500420664962786681212337
% SZS output start Proof for 4500420664962786681212337
9. ? [X0] : (~wise(X0) | ~generous(X0)) <=> (tall(fred) & rich(fred)) [input p8]
13. ! [X0] : (~curious(X0) <=> (~wise(X0) & curious(X0))) [input p12]
20. ~wise(fred) | ~tall(fred) [input p19]
23. ~generous(l... | 0 |
Everyone who is either not creative or patient is both humble and not funny and vice versa. Everyone who is either not wise or creative is both not creative and old. If alice is either not rich or kind then someone is either calm or funny and vice versa. If paul is both not tall and not quiet then john is both not brav... | Lucy is rich. | neutral | (![X]:((~creative(X)<~>patient(X))<=>(humble(X)&~funny(X))))&
(![X]:((~wise(X)<~>creative(X))=>(~creative(X)&old(X))))&
(((~rich(alice)<~>kind(alice)))<=>(?[X]:((calm(X)<~>funny(X)))))&
(((~tall(paul)&~quiet(paul)))<=>((~brave(john)&~patient(john))))&
(((brave(fred)|~wise(fred)))=>((~creative(fred)&kind(fred))))&
(![X]... | rich(lucy) | [] | null | 0 |
If someone is not patient or old then mary is not calm or wise. Everyone who is either not brave or happy is either not kind or generous. Everyone who is not funny is either calm or not kind. If someone is both not calm and rich then john is funny or calm and vice versa. Everyone who is not brave is both quiet and not ... | Alice is not old. | neutral | ((?[X]:((~patient(X)|old(X))))=>((~calm(mary)|wise(mary))))&
(![X]:((~brave(X)<~>happy(X))=>(~kind(X)<~>generous(X))))&
(![X]:(~funny(X)=>(calm(X)<~>~kind(X))))&
((?[X]:((~calm(X)&rich(X))))<=>((funny(john)|calm(john))))&
(![X]:(~brave(X)=>(quiet(X)&~funny(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>((creative(alice)|~ge... | ~old(alice) | [] | null | 0 |
Everyone who is not quiet or brave is both funny and not funny and vice versa.
If someone is both wise and old then john is both brave and patient.
If paul is happy then someone is either not kind or not patient and vice versa.
Everyone who is either not calm or not happy is either not brave or creative and vice versa.... | Mary is humble. | contradiction | (![X]:((~quiet(X)|brave(X))<=>(funny(X)&~funny(X))))&
((?[X]:((wise(X)&old(X))))=>((brave(john)&patient(john))))&
((happy(paul))<=>(?[X]:((~kind(X)<~>~patient(X)))))&
(![X]:((~calm(X)<~>~happy(X))<=>(~brave(X)<~>creative(X))))&
((?[X]:((generous(X)<~>kind(X))))<=>(?[X]:((funny(X)<~>tall(X)))))&
((?[X]:(humble(X)))=>(?[... | humble(mary) | [
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 305321426517986485592636
% SZS output start Proof for 305321426517986485592636
6. ? [X0] : humble(X0) => ? [X0] : (~creative(X0) <~> ~rich(X0)) [input p5]
9. ! [X0] : ((old(X0) | creative(X0)) => (~brave(X0) & ~creative(X0))) [input p8]
11. ! [X0] : (rich(X0) => (~brave(X0) & ~rich(X0))) ... | 0 |
Everyone who is wise or not rich is both generous and not generous.
Everyone who is kind or tall is not quiet and vice versa.
If someone is either not funny or not happy then someone is not patient or quiet and vice versa.
If susan is not curious then someone is either generous or brave and vice versa.
If someone is bo... | John is old. | entailment | (![X]:((wise(X)|~rich(X))=>(generous(X)&~generous(X))))&
(![X]:((kind(X)|tall(X))<=>~quiet(X)))&
((?[X]:((~funny(X)<~>~happy(X))))<=>(?[X]:((~patient(X)|quiet(X)))))&
((~curious(susan))<=>(?[X]:((generous(X)<~>brave(X)))))&
((?[X]:((generous(X)&creative(X))))<=>(?[X]:((~brave(X)|quiet(X)))))&
(![X]:((funny(X)&~strong(X... | old(john) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8527320628230171278867070
% SZS output start Proof for 8527320628230171278867070
1. ! [X0] : ((~rich(X0) | wise(X0)) => (~generous(X0) & generous(X0))) [input p0]
16. ! [X0] : (rich(X0) <=> (old(X0) & ~creative(X0))) [input p15]
23. ~old(john) [input hypothesis]
28. ! [X0] : ((~generous(X... | 0 |
Everyone who is brave is either not wise or not kind and vice versa.
Everyone who is either not wise or not curious is both wise and not curious and vice versa.
If fred is both not generous and calm then someone is not old.
If someone is creative then someone is generous.
Everyone who is both not happy and tall is eith... | Fred is creative. | contradiction | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(wise(X)&~curious(X))))&
(((~generous(fred)&calm(fred)))=>(?[X]:(~old(X))))&
((?[X]:(creative(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:(generous(X)=>... | creative(fred) | [
"p3",
"p6",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1067691621650879692976428
% SZS output start Proof for 1067691621650879692976428
4. ? [X0] : creative(X0) => ? [X0] : generous(X0) [input p3]
7. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p6]
8. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0) | happy(X0))) [input p7]
12... | 0 |
Everyone who is either not curious or old is either quiet or not old.
If paul is either tall or not calm then someone is humble or not quiet.
Everyone who is both generous and strong is both not humble and not happy.
Everyone who is not rich or strong is funny.
Everyone who is both not rich and brave is tall and vice v... | Alice is not funny. | contradiction | (![X]:((~curious(X)<~>old(X))=>(quiet(X)<~>~old(X))))&
(((tall(paul)<~>~calm(paul)))=>(?[X]:((humble(X)|~quiet(X)))))&
(![X]:((generous(X)&strong(X))=>(~humble(X)&~happy(X))))&
(![X]:((~rich(X)|strong(X))=>funny(X)))&
(![X]:((~rich(X)&brave(X))<=>tall(X)))&
(![X]:((~strong(X)|kind(X))=>(~old(X)<~>~generous(X))))&
(![X]... | ~funny(alice) | [
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7152549145082879775537970
% SZS output start Proof for 7152549145082879775537970
4. ! [X0] : ((strong(X0) | ~rich(X0)) => funny(X0)) [input p3]
5. ! [X0] : ((brave(X0) & ~rich(X0)) <=> tall(X0)) [input p4]
15. ? [X0] : ~strong(X0) => ? [X0] : (rich(X0) & tall(X0)) [input p14]
22. ~funny(a... | 0 |
If someone is strong or not rich then susan is not rich or curious and vice versa.
If someone is not calm then paul is curious or creative.
Everyone who is not wise or curious is both not generous and kind and vice versa.
If john is both not old and happy then john is not generous or wise and vice versa.
Everyone who i... | Mary is curious. | contradiction | ((?[X]:((strong(X)|~rich(X))))<=>((~rich(susan)|curious(susan))))&
((?[X]:(~calm(X)))=>((curious(paul)|creative(paul))))&
(![X]:((~wise(X)|curious(X))<=>(~generous(X)&kind(X))))&
(((~old(john)&happy(john)))<=>((~generous(john)|wise(john))))&
(![X]:((~kind(X)|~patient(X))<=>(~funny(X)&funny(X))))&
(![X]:((rich(X)<~>~tal... | curious(mary) | [
"p4",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 557310739651981207619976
% SZS output start Proof for 557310739651981207619976
5. ! [X0] : ((~patient(X0) | ~kind(X0)) <=> (funny(X0) & ~funny(X0))) [input p4]
14. ! [X0] : ((curious(X0) & brave(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p13]
21. ~quiet(mary) <~> ~patient(mary) [input p2... | 0 |
Everyone who is humble or not strong is either not curious or wise and vice versa. If someone is either happy or not kind then someone is patient or strong and vice versa. Everyone who is either humble or old is both not funny and humble and vice versa. Everyone who is not quiet is funny and vice versa. Everyone who is... | Mary is not creative. | entailment | (![X]:((humble(X)|~strong(X))<=>(~curious(X)<~>wise(X))))&
((?[X]:((happy(X)<~>~kind(X))))<=>(?[X]:((patient(X)|strong(X)))))&
(![X]:((humble(X)<~>old(X))<=>(~funny(X)&humble(X))))&
(![X]:(~quiet(X)<=>funny(X)))&
(![X]:(~kind(X)<=>brave(X)))&
(![X]:((~generous(X)<~>calm(X))=>(quiet(X)|rich(X))))&
(![X]:((~rich(X)|~kind... | ~creative(mary) | [
"p2",
"p7",
"p10",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2359456585885242904994883
% SZS output start Proof for 2359456585885242904994883
3. ! [X0] : ((humble(X0) <~> old(X0)) <=> (humble(X0) & ~funny(X0))) [input p2]
8. ? [X0] : (creative(X0) <~> calm(X0)) => (~funny(mary) <~> generous(mary)) [input p7]
11. ! [X0] : ((~strong(X0) & funny(X0)) ... | 0 |
If john is both calm and wise then someone is not strong and vice versa.
Everyone who is not brave or not happy is either humble or not generous and vice versa.
Everyone who is tall or rich is either brave or curious and vice versa.
If lucy is not happy or generous then someone is both brave and not rich.
If someone is... | Lucy is not generous. | entailment | (((calm(john)&wise(john)))<=>(?[X]:(~strong(X))))&
(![X]:((~brave(X)|~happy(X))<=>(humble(X)<~>~generous(X))))&
(![X]:((tall(X)|rich(X))<=>(brave(X)<~>curious(X))))&
(((~happy(lucy)|generous(lucy)))=>(?[X]:((brave(X)&~rich(X)))))&
((?[X]:((~wise(X)<~>strong(X))))=>(happy(fred)))&
(![X]:((~happy(X)<~>~wise(X))<=>humble(... | ~generous(lucy) | [
"p1",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7953815803616028770851572
% SZS output start Proof for 7953815803616028770851572
2. ! [X0] : ((~happy(X0) | ~brave(X0)) <=> (humble(X0) <~> ~generous(X0))) [input p1]
11. ! [X0] : ((humble(X0) | ~humble(X0)) => (~generous(X0) | ~humble(X0))) [input p10]
15. ! [X0] : (~rich(X0) <=> (rich(X... | 0 |
If mary is either kind or not calm then lucy is either not brave or not calm and vice versa.
If mary is not calm or wise then alice is strong or tall and vice versa.
Everyone who is quiet is not strong.
Everyone who is both not creative and curious is humble or curious and vice versa.
If john is not patient or not quie... | Fred is calm. | neutral | (((kind(mary)<~>~calm(mary)))<=>((~brave(lucy)<~>~calm(lucy))))&
(((~calm(mary)|wise(mary)))<=>((strong(alice)|tall(alice))))&
(![X]:(quiet(X)=>~strong(X)))&
(![X]:((~creative(X)&curious(X))<=>(humble(X)|curious(X))))&
(((~patient(john)|~quiet(john)))<=>(?[X]:((~patient(X)|funny(X)))))&
(((calm(susan)&kind(susan)))=>((... | calm(fred) | [] | null | 0 |
If fred is patient then fred is either not brave or quiet and vice versa.
If susan is not generous then someone is rich and vice versa.
Everyone who is either not tall or rich is both happy and tall.
Everyone who is either wise or tall is not brave.
If susan is either kind or not humble then someone is happy or patient... | Lucy is not quiet. | entailment | ((patient(fred))<=>((~brave(fred)<~>quiet(fred))))&
((~generous(susan))<=>(?[X]:(rich(X))))&
(![X]:((~tall(X)<~>rich(X))=>(happy(X)&tall(X))))&
(![X]:((wise(X)<~>tall(X))=>~brave(X)))&
(((kind(susan)<~>~humble(susan)))<=>(?[X]:((happy(X)|patient(X)))))&
(![X]:((~creative(X)|rich(X))<=>(quiet(X)<~>~curious(X))))&
(![X]:... | ~quiet(lucy) | [
"p2",
"p3",
"p6",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7508054031945427092359969
% SZS output start Proof for 7508054031945427092359969
3. ! [X0] : ((~tall(X0) <~> rich(X0)) => (tall(X0) & happy(X0))) [input p2]
4. ! [X0] : ((wise(X0) <~> tall(X0)) => ~brave(X0)) [input p3]
7. ! [X0] : ((old(X0) & brave(X0)) <=> tall(X0)) [input p6]
13. ! [X0... | 0 |
If lucy is either not calm or wise then mary is strong or wise.
Everyone who is both funny and not creative is not happy or wise and vice versa.
If mary is both tall and not quiet then someone is either curious or not happy.
If john is not tall or tall then someone is kind and vice versa.
If lucy is generous or quiet t... | Alice is not creative. | contradiction | (((~calm(lucy)<~>wise(lucy)))=>((strong(mary)|wise(mary))))&
(![X]:((funny(X)&~creative(X))<=>(~happy(X)|wise(X))))&
(((tall(mary)&~quiet(mary)))=>(?[X]:((curious(X)<~>~happy(X)))))&
(((~tall(john)|tall(john)))<=>(?[X]:(kind(X))))&
(((generous(lucy)|quiet(lucy)))<=>(?[X]:((humble(X)&~calm(X)))))&
(((calm(alice)&~quiet(... | ~creative(alice) | [
"p6",
"p8",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8991144187342335490962478
% SZS output start Proof for 8991144187342335490962478
7. ! [X0] : ((quiet(X0) | generous(X0)) <=> (humble(X0) & ~calm(X0))) [input p6]
9. ! [X0] : ((tall(X0) | ~rich(X0)) <=> (creative(X0) & humble(X0))) [input p8]
16. ! [X0] : (humble(X0) => (~patient(X0) & tal... | 0 |
Everyone who is not calm is both not curious and creative.
Everyone who is not calm is not tall or humble and vice versa.
Everyone who is not creative or funny is either wise or generous and vice versa.
If someone is both not rich and humble then someone is curious and vice versa.
If john is not curious or not funny th... | Lucy is kind. | neutral | (![X]:(~calm(X)=>(~curious(X)&creative(X))))&
(![X]:(~calm(X)<=>(~tall(X)|humble(X))))&
(![X]:((~creative(X)|funny(X))<=>(wise(X)<~>generous(X))))&
((?[X]:((~rich(X)&humble(X))))<=>(?[X]:(curious(X))))&
(((~curious(john)|~funny(john)))<=>((~patient(alice)&brave(alice))))&
(![X]:((~patient(X)<~>~generous(X))<=>(funny(X)... | kind(lucy) | [] | null | 0 |
Everyone who is both not wise and old is either brave or curious. Everyone who is both kind and not humble is not patient or patient. Everyone who is either not humble or humble is both curious and calm and vice versa. If fred is not happy or not curious then alice is generous or calm and vice versa. If someone is eith... | Alice is not calm. | contradiction | (![X]:((~wise(X)&old(X))=>(brave(X)<~>curious(X))))&
(![X]:((kind(X)&~humble(X))=>(~patient(X)|patient(X))))&
(![X]:((~humble(X)<~>humble(X))<=>(curious(X)&calm(X))))&
(((~happy(fred)|~curious(fred)))<=>((generous(alice)|calm(alice))))&
((?[X]:((generous(X)<~>rich(X))))<=>(?[X]:((~humble(X)|old(X)))))&
(![X]:(old(X)=>g... | ~calm(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 170676024781273823149793
% SZS output start Proof for 170676024781273823149793
3. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (calm(X0) & curious(X0))) [input p2]
24. ~calm(alice) [input hypothesis]
41. ! [X0] : ((((~humble(X0) | humble(X0)) & (humble(X0) | ~humble(X0))) | (~calm(X0) | ~cu... | 0 |
If someone is both old and not old then susan is either wise or funny. If someone is generous or not old then alice is not rich or funny. Everyone who is not brave is either not tall or strong and vice versa. If susan is not funny or not happy then paul is both not strong and humble and vice versa. If someone is either... | Paul is not calm. | contradiction | ((?[X]:((old(X)&~old(X))))=>((wise(susan)<~>funny(susan))))&
((?[X]:((generous(X)|~old(X))))=>((~rich(alice)|funny(alice))))&
(![X]:(~brave(X)<=>(~tall(X)<~>strong(X))))&
(((~funny(susan)|~happy(susan)))<=>((~strong(paul)&humble(paul))))&
((?[X]:((~patient(X)<~>strong(X))))<=>(~creative(john)))&
(![X]:(generous(X)=>(~t... | ~calm(paul) | [
"p2",
"p5",
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1917737725874468248722123
% SZS output start Proof for 1917737725874468248722123
3. ! [X0] : (~brave(X0) <=> (~tall(X0) <~> strong(X0))) [input p2]
6. ! [X0] : (generous(X0) => (~quiet(X0) & ~tall(X0))) [input p5]
7. ! [X0] : ((tall(X0) | strong(X0)) <=> (quiet(X0) & old(X0))) [input p6]
... | 0 |
If susan is funny or curious then someone is humble.
Everyone who is either kind or not tall is not calm and vice versa.
Everyone who is not curious is both not happy and generous and vice versa.
Everyone who is not wise or not strong is either old or not curious and vice versa.
Everyone who is either happy or not gene... | Paul is funny. | entailment | (((funny(susan)|curious(susan)))=>(?[X]:(humble(X))))&
(![X]:((kind(X)<~>~tall(X))<=>~calm(X)))&
(![X]:(~curious(X)<=>(~happy(X)&generous(X))))&
(![X]:((~wise(X)|~strong(X))<=>(old(X)<~>~curious(X))))&
(![X]:((happy(X)<~>~generous(X))<=>(~happy(X)<~>~funny(X))))&
(((creative(alice)|curious(alice)))=>((~old(paul)|funny(... | funny(paul) | [
"p4",
"p7",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3082507397963371923459228
% SZS output start Proof for 3082507397963371923459228
5. ! [X0] : ((happy(X0) <~> ~generous(X0)) <=> (~happy(X0) <~> ~funny(X0))) [input p4]
8. ! [X0] : ((~brave(X0) & tall(X0)) <=> generous(X0)) [input p7]
10. ? [X0] : ~calm(X0) <=> ? [X0] : creative(X0) [input... | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is either not tall or not wise is either patient or tall and vice versa.
Everyone who is rich or curious is happy.
Everyone who is patient is either happy or creative and vice versa... | Fred is not quiet. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((rich(X)|curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(happy(X)<~>creative(X))))&
(![X]:((~kind(X)&~generous(X))=>(~curious(X)<~>~wise(X))))&
(![X]:(wise(X)<=>(ha... | ~quiet(fred) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p8",
"p12",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1198080193644619550881611
% SZS output start Proof for 1198080193644619550881611
1. ! [X0] : ((~curious(X0) <~> generous(X0)) <=> humble(X0)) [input p0]
3. ! [X0] : ((~tall(X0) <~> ~wise(X0)) <=> (patient(X0) <~> tall(X0))) [input p2]
4. ! [X0] : ((curious(X0) | rich(X0)) => happy(X0)) [i... | 0 |
If someone is both not tall and strong then someone is curious.
Everyone who is not tall or not creative is both quiet and not brave and vice versa.
If someone is both old and happy then john is not wise or generous and vice versa.
If lucy is either old or not kind then paul is either not generous or creative.
If someo... | Lucy is not creative. | contradiction | ((?[X]:((~tall(X)&strong(X))))=>(?[X]:(curious(X))))&
(![X]:((~tall(X)|~creative(X))<=>(quiet(X)&~brave(X))))&
((?[X]:((old(X)&happy(X))))<=>((~wise(john)|generous(john))))&
(((old(lucy)<~>~kind(lucy)))=>((~generous(paul)<~>creative(paul))))&
((?[X]:((creative(X)|~tall(X))))=>(~generous(fred)))&
(![X]:((~curious(X)<~>k... | ~creative(lucy) | [
"p1",
"p3",
"p7",
"p12",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3914344970206190088740556
% SZS output start Proof for 3914344970206190088740556
2. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> (~brave(X0) & quiet(X0))) [input p1]
4. (old(lucy) <~> ~kind(lucy)) => (~generous(paul) <~> creative(paul)) [input p3]
8. ! [X0] : (kind(X0) <=> (creative(X0) & ~q... | 0 |
Everyone who is generous or kind is not old. If someone is happy then someone is both not strong and not brave. If someone is creative or not calm then lucy is rich or calm and vice versa. If someone is strong then alice is either generous or not calm. If someone is not tall then someone is either not brave or quiet. I... | Lucy is not strong. | neutral | (![X]:((generous(X)|kind(X))=>~old(X)))&
((?[X]:(happy(X)))=>(?[X]:((~strong(X)&~brave(X)))))&
((?[X]:((creative(X)|~calm(X))))<=>((rich(lucy)|calm(lucy))))&
((?[X]:(strong(X)))=>((generous(alice)<~>~calm(alice))))&
((?[X]:(~tall(X)))=>(?[X]:((~brave(X)<~>quiet(X)))))&
(((tall(fred)<~>humble(fred)))=>((~funny(lucy)<~>k... | ~strong(lucy) | [] | null | 0 |
Everyone who is not kind is not patient or not strong and vice versa.
Everyone who is not old is either not curious or old.
If someone is both not rich and not generous then alice is not strong.
Everyone who is happy or not curious is either brave or not humble and vice versa.
If lucy is quiet or not wise then someone ... | Mary is patient. | neutral | (![X]:(~kind(X)<=>(~patient(X)|~strong(X))))&
(![X]:(~old(X)=>(~curious(X)<~>old(X))))&
((?[X]:((~rich(X)&~generous(X))))=>(~strong(alice)))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))... | patient(mary) | [] | null | 0 |
If mary is both generous and calm then susan is both wise and not calm.
Everyone who is calm or not generous is wise or creative and vice versa.
Everyone who is rich is not brave and vice versa.
Everyone who is funny or brave is tall or not generous.
If lucy is either generous or rich then fred is either not wise or no... | Susan is not rich. | entailment | (((generous(mary)&calm(mary)))=>((wise(susan)&~calm(susan))))&
(![X]:((calm(X)|~generous(X))<=>(wise(X)|creative(X))))&
(![X]:(rich(X)<=>~brave(X)))&
(![X]:((funny(X)|brave(X))=>(tall(X)|~generous(X))))&
(((generous(lucy)<~>rich(lucy)))<=>((~wise(fred)<~>~rich(fred))))&
(![X]:(rich(X)=>~kind(X)))&
(![X]:(~funny(X)<=>(k... | ~rich(susan) | [
"p5",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2272689417154741715661162
% SZS output start Proof for 2272689417154741715661162
6. ! [X0] : (rich(X0) => ~kind(X0)) [input p5]
7. ! [X0] : (~funny(X0) <=> (calm(X0) & kind(X0))) [input p6]
16. ? [X0] : (~old(X0) & funny(X0)) <=> ? [X0] : (~rich(X0) & rich(X0)) [input p15]
20. ~creative(s... | 0 |
Everyone who is calm is either kind or happy. If someone is both wise and creative then someone is patient or not calm. Everyone who is either wise or not rich is old or not funny and vice versa. If someone is not strong or not kind then mary is not wise and vice versa. Everyone who is funny or not strong is both not g... | John is not brave. | contradiction | (![X]:(calm(X)=>(kind(X)<~>happy(X))))&
((?[X]:((wise(X)&creative(X))))=>(?[X]:((patient(X)|~calm(X)))))&
(![X]:((wise(X)<~>~rich(X))<=>(old(X)|~funny(X))))&
((?[X]:((~strong(X)|~kind(X))))<=>(~wise(mary)))&
(![X]:((funny(X)|~strong(X))<=>(~generous(X)&brave(X))))&
(![X]:((~kind(X)&~happy(X))<=>(~quiet(X)<~>patient(X))... | ~brave(john) | [
"p2",
"p4",
"p6",
"p8",
"p9",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8432146453577808048620472
% SZS output start Proof for 8432146453577808048620472
3. ! [X0] : ((wise(X0) <~> ~rich(X0)) <=> (~funny(X0) | old(X0))) [input p2]
5. ! [X0] : ((~strong(X0) | funny(X0)) <=> (brave(X0) & ~generous(X0))) [input p4]
7. ! [X0] : ((old(X0) <~> ~creative(X0)) <=> (ta... | 0 |
If someone is either patient or funny then lucy is both quiet and brave. Everyone who is either kind or calm is either wise or creative. Everyone who is either not strong or not patient is both not funny and strong. Everyone who is not brave or old is either kind or not old and vice versa. If mary is humble then someon... | Lucy is not kind. | contradiction | ((?[X]:((patient(X)<~>funny(X))))=>((quiet(lucy)&brave(lucy))))&
(![X]:((kind(X)<~>calm(X))=>(wise(X)<~>creative(X))))&
(![X]:((~strong(X)<~>~patient(X))=>(~funny(X)&strong(X))))&
(![X]:((~brave(X)|old(X))<=>(kind(X)<~>~old(X))))&
((humble(mary))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~funny(X)|kind(X))<=>~creative... | ~kind(lucy) | [
"p2",
"p3",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5086322976811202053581651
% SZS output start Proof for 5086322976811202053581651
3. ! [X0] : ((~strong(X0) <~> ~patient(X0)) => (strong(X0) & ~funny(X0))) [input p2]
4. ! [X0] : ((old(X0) | ~brave(X0)) <=> (kind(X0) <~> ~old(X0))) [input p3]
13. ! [X0] : (~old(X0) => (strong(X0) <~> ~old(... | 0 |
If someone is either not wise or patient then mary is either wise or happy and vice versa. If someone is quiet or not quiet then someone is not brave or not funny. Everyone who is old or not strong is both generous and not happy. Everyone who is either rich or quiet is quiet or not old. Everyone who is happy or not tal... | Paul is generous. | contradiction | ((?[X]:((~wise(X)<~>patient(X))))<=>((wise(mary)<~>happy(mary))))&
((?[X]:((quiet(X)|~quiet(X))))=>(?[X]:((~brave(X)|~funny(X)))))&
(![X]:((old(X)|~strong(X))=>(generous(X)&~happy(X))))&
(![X]:((rich(X)<~>quiet(X))=>(quiet(X)|~old(X))))&
(![X]:((happy(X)|~tall(X))<=>(~brave(X)<~>~kind(X))))&
(((~rich(paul)<~>generous(p... | generous(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6179772528246855750410989
% SZS output start Proof for 6179772528246855750410989
16. ! [X0] : ((~rich(X0) & generous(X0)) <=> rich(X0)) [input p15]
24. generous(paul) [input hypothesis]
65. ! [X0] : (((~rich(X0) & generous(X0)) | ~rich(X0)) & (rich(X0) | (rich(X0) | ~generous(X0)))) [nnf ... | 0 |
Everyone who is brave or not old is both not funny and wise.
If someone is brave then susan is quiet.
Everyone who is either curious or strong is not quiet and vice versa.
If someone is either old or not strong then alice is either humble or calm and vice versa.
If lucy is tall or not tall then someone is not strong or... | John is curious. | neutral | (![X]:((brave(X)|~old(X))=>(~funny(X)&wise(X))))&
((?[X]:(brave(X)))=>(quiet(susan)))&
(![X]:((curious(X)<~>strong(X))<=>~quiet(X)))&
((?[X]:((old(X)<~>~strong(X))))<=>((humble(alice)<~>calm(alice))))&
(((tall(lucy)|~tall(lucy)))=>(?[X]:((~strong(X)|happy(X)))))&
(![X]:((wise(X)<~>patient(X))<=>(humble(X)<~>calm(X))))&... | curious(john) | [] | null | 0 |
If alice is not quiet or not wise then someone is happy.
Everyone who is not strong is tall or not funny and vice versa.
Everyone who is wise or brave is either funny or not happy and vice versa.
If susan is both not kind and calm then someone is not curious and vice versa.
Everyone who is tall is quiet and vice versa.... | Alice is not strong. | neutral | (((~quiet(alice)|~wise(alice)))=>(?[X]:(happy(X))))&
(![X]:(~strong(X)<=>(tall(X)|~funny(X))))&
(![X]:((wise(X)|brave(X))<=>(funny(X)<~>~happy(X))))&
(((~kind(susan)&calm(susan)))<=>(?[X]:(~curious(X))))&
(![X]:(tall(X)<=>quiet(X)))&
((?[X]:((tall(X)<~>~wise(X))))<=>(?[X]:((~generous(X)&brave(X)))))&
((~strong(susan))=... | ~strong(alice) | [] | null | 0 |
Everyone who is quiet or funny is either kind or funny and vice versa.
Everyone who is either happy or not patient is calm.
Everyone who is either generous or old is not curious and vice versa.
If alice is either not kind or not brave then paul is not happy or rich and vice versa.
Everyone who is kind is either not qui... | Mary is not creative. | entailment | (![X]:((quiet(X)|funny(X))<=>(kind(X)<~>funny(X))))&
(![X]:((happy(X)<~>~patient(X))=>calm(X)))&
(![X]:((generous(X)<~>old(X))<=>~curious(X)))&
(((~kind(alice)<~>~brave(alice)))<=>((~happy(paul)|rich(paul))))&
(![X]:(kind(X)=>(~quiet(X)<~>~curious(X))))&
(![X]:((~wise(X)|~brave(X))<=>(calm(X)|~old(X))))&
(![X]:((strong... | ~creative(mary) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6854167946323415645972148
% SZS output start Proof for 6854167946323415645972148
1. ! [X0] : ((funny(X0) | quiet(X0)) <=> (kind(X0) <~> funny(X0))) [input p0]
2. ! [X0] : ((happy(X0) <~> ~patient(X0)) => calm(X0)) [input p1]
3. ! [X0] : ((generous(X0) <~> old(X0)) <=> ~curious(X0)) [input... | 0 |
If fred is both not generous and not strong then mary is not curious or rich.
Everyone who is not patient or kind is happy and vice versa.
Everyone who is both not strong and strong is both funny and not happy and vice versa.
If someone is both not brave and not rich then someone is both not kind and not happy and vice... | Mary is wise. | neutral | (((~generous(fred)&~strong(fred)))=>((~curious(mary)|rich(mary))))&
(![X]:((~patient(X)|kind(X))<=>happy(X)))&
(![X]:((~strong(X)&strong(X))<=>(funny(X)&~happy(X))))&
((?[X]:((~brave(X)&~rich(X))))<=>(?[X]:((~kind(X)&~happy(X)))))&
(![X]:((~calm(X)|~creative(X))=>(curious(X)|funny(X))))&
(![X]:(funny(X)=>(~strong(X)&qu... | wise(mary) | [] | null | 0 |
If someone is not humble or not happy then alice is both not generous and not rich. If fred is both happy and strong then susan is not curious. If paul is either tall or not old then mary is not tall. If someone is either not funny or funny then someone is either not kind or old. Everyone who is either happy or brave i... | Mary is not wise. | contradiction | ((?[X]:((~humble(X)|~happy(X))))=>((~generous(alice)&~rich(alice))))&
(((happy(fred)&strong(fred)))=>(~curious(susan)))&
(((tall(paul)<~>~old(paul)))=>(~tall(mary)))&
((?[X]:((~funny(X)<~>funny(X))))=>(?[X]:((~kind(X)<~>old(X)))))&
(![X]:((happy(X)<~>brave(X))<=>(~patient(X)<~>~kind(X))))&
((?[X]:((wise(X)<~>tall(X))))... | ~wise(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1333918516631467698882188
% SZS output start Proof for 1333918516631467698882188
7. ! [X0] : ((wise(X0) & ~rich(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p6]
22. ~wise(mary) [input hypothesis]
47. ! [X0] : (((wise(X0) & ~rich(X0)) | ((creative(X0) | creative(X0)) & (~creative(X0) ... | 0 |
Everyone who is not quiet is both not brave and creative.
Everyone who is not rich is old.
Everyone who is both quiet and not calm is either not rich or humble and vice versa.
If lucy is humble then lucy is either creative or quiet and vice versa.
If john is both not patient and tall then susan is not curious or not fu... | Fred is not generous. | neutral | (![X]:(~quiet(X)=>(~brave(X)&creative(X))))&
(![X]:(~rich(X)=>old(X)))&
(![X]:((quiet(X)&~calm(X))<=>(~rich(X)<~>humble(X))))&
((humble(lucy))<=>((creative(lucy)<~>quiet(lucy))))&
(((~patient(john)&tall(john)))=>((~curious(susan)|~funny(susan))))&
(((~kind(lucy)&~tall(lucy)))=>(?[X]:((generous(X)<~>~creative(X)))))&
((... | ~generous(fred) | [] | null | 0 |
Everyone who is not curious or not funny is not calm or happy.
Everyone who is not quiet or not humble is not brave or old and vice versa.
If someone is both humble and old then john is tall and vice versa.
Everyone who is not humble is not happy.
Everyone who is either not wise or not brave is both tall and not tall a... | John is humble. | neutral | (![X]:((~curious(X)|~funny(X))=>(~calm(X)|happy(X))))&
(![X]:((~quiet(X)|~humble(X))<=>(~brave(X)|old(X))))&
((?[X]:((humble(X)&old(X))))<=>(tall(john)))&
(![X]:(~humble(X)=>~happy(X)))&
(![X]:((~wise(X)<~>~brave(X))<=>(tall(X)&~tall(X))))&
(![X]:(funny(X)<=>(~humble(X)|~old(X))))&
((?[X]:((humble(X)|~old(X))))=>((brav... | humble(john) | [] | null | 0 |
If someone is either not humble or happy then fred is not wise or not tall and vice versa.
If fred is not brave or generous then fred is both not creative and not patient.
Everyone who is not funny or not humble is not calm.
If paul is creative or not funny then fred is creative and vice versa.
Everyone who is either n... | Susan is old. | neutral | ((?[X]:((~humble(X)<~>happy(X))))<=>((~wise(fred)|~tall(fred))))&
(((~brave(fred)|generous(fred)))=>((~creative(fred)&~patient(fred))))&
(![X]:((~funny(X)|~humble(X))=>~calm(X)))&
(((creative(paul)|~funny(paul)))<=>(creative(fred)))&
(![X]:((~wise(X)<~>rich(X))=>(humble(X)|tall(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>(k... | old(susan) | [] | null | 0 |
Everyone who is both not happy and strong is quiet. If someone is either not funny or not quiet then susan is both old and not strong and vice versa. If john is not patient or funny then someone is generous or patient. Everyone who is both brave and not curious is not patient or not brave and vice versa. If paul is eit... | Susan is rich. | contradiction | (![X]:((~happy(X)&strong(X))=>quiet(X)))&
((?[X]:((~funny(X)<~>~quiet(X))))<=>((old(susan)&~strong(susan))))&
(((~patient(john)|funny(john)))=>(?[X]:((generous(X)|patient(X)))))&
(![X]:((brave(X)&~curious(X))<=>(~patient(X)|~brave(X))))&
(((humble(paul)<~>~happy(paul)))=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((curious(X)... | rich(susan) | [
"p3",
"p5",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7576208261131399711854277
% SZS output start Proof for 7576208261131399711854277
4. ! [X0] : ((~curious(X0) & brave(X0)) <=> (~brave(X0) | ~patient(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | curious(X0)) <=> ~kind(X0)) [input p5]
10. ! [X0] : (kind(X0) <=> ~humble(X0)) [input p9]
12. ! [X... | 0 |
If someone is not quiet then someone is funny or not curious.
If alice is not wise then lucy is both not strong and patient.
If someone is either not calm or not humble then fred is either not strong or humble and vice versa.
Everyone who is not rich is not old.
Everyone who is either rich or wise is either creative or... | Lucy is not creative. | entailment | ((?[X]:(~quiet(X)))=>(?[X]:((funny(X)|~curious(X)))))&
((~wise(alice))=>((~strong(lucy)&patient(lucy))))&
((?[X]:((~calm(X)<~>~humble(X))))<=>((~strong(fred)<~>humble(fred))))&
(![X]:(~rich(X)=>~old(X)))&
(![X]:((rich(X)<~>wise(X))=>(creative(X)<~>curious(X))))&
(![X]:((~happy(X)|curious(X))=>~happy(X)))&
((?[X]:((~ric... | ~creative(lucy) | [
"p3",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6958384266288656209769099
% SZS output start Proof for 6958384266288656209769099
4. ! [X0] : (~rich(X0) => ~old(X0)) [input p3]
8. ! [X0] : ((~old(X0) | ~wise(X0)) <=> ~creative(X0)) [input p7]
17. ~rich(lucy) [input p16]
24. creative(lucy) [input hypothesis]
33. ! [X0] : (~old(X0) | rich... | 0 |
Everyone who is both curious and not curious is not calm and vice versa.
Everyone who is both not humble and not funny is both not calm and humble and vice versa.
If lucy is either funny or kind then mary is not kind or not tall and vice versa.
Everyone who is not strong or not tall is either patient or strong and vice... | John is wise. | contradiction | (![X]:((curious(X)&~curious(X))<=>~calm(X)))&
(![X]:((~humble(X)&~funny(X))<=>(~calm(X)&humble(X))))&
(((funny(lucy)<~>kind(lucy)))<=>((~kind(mary)|~tall(mary))))&
(![X]:((~strong(X)|~tall(X))<=>(patient(X)<~>strong(X))))&
(![X]:((generous(X)&~generous(X))<=>(~brave(X)&~patient(X))))&
(![X]:(~curious(X)=>(~old(X)|~humb... | wise(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3357028218640538104751339
% SZS output start Proof for 3357028218640538104751339
12. ! [X0] : (wise(X0) <=> (~wise(X0) & happy(X0))) [input p11]
22. wise(john) [input hypothesis]
55. ! [X0] : ((wise(X0) | (wise(X0) | ~happy(X0))) & ((~wise(X0) & happy(X0)) | ~wise(X0))) [nnf transformatio... | 0 |
Everyone who is brave is either curious or not humble and vice versa.
Everyone who is both not brave and creative is not kind.
If someone is patient then someone is not brave.
If someone is both strong and wise then fred is kind or not wise and vice versa.
If lucy is both not wise and tall then someone is both not tall... | John is brave. | contradiction | (![X]:(brave(X)<=>(curious(X)<~>~humble(X))))&
(![X]:((~brave(X)&creative(X))=>~kind(X)))&
((?[X]:(patient(X)))=>(?[X]:(~brave(X))))&
((?[X]:((strong(X)&wise(X))))<=>((kind(fred)|~wise(fred))))&
(((~wise(lucy)&tall(lucy)))=>(?[X]:((~tall(X)&~old(X)))))&
((?[X]:((humble(X)<~>~curious(X))))<=>(?[X]:((~rich(X)&happy(X))))... | brave(john) | [
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4599528695481381472619566
% SZS output start Proof for 4599528695481381472619566
12. ! [X0] : ((creative(X0) | brave(X0)) <=> calm(X0)) [input p11]
16. ! [X0] : (~tall(X0) => ~calm(X0)) [input p15]
17. ~brave(john) <~> ~tall(john) [input p16]
24. brave(john) [input hypothesis]
41. ! [X0] ... | 0 |
If mary is either calm or not generous then mary is both not old and not quiet. If someone is either kind or not creative then mary is either not kind or not humble. If someone is both not strong and not kind then someone is both not patient and not rich and vice versa. Everyone who is both old and creative is strong a... | Alice is old. | entailment | (((calm(mary)<~>~generous(mary)))=>((~old(mary)&~quiet(mary))))&
((?[X]:((kind(X)<~>~creative(X))))=>((~kind(mary)<~>~humble(mary))))&
((?[X]:((~strong(X)&~kind(X))))<=>(?[X]:((~patient(X)&~rich(X)))))&
(![X]:((old(X)&creative(X))<=>strong(X)))&
((?[X]:((~patient(X)<~>happy(X))))=>((happy(susan)<~>patient(susan))))&
(!... | old(alice) | [
"p3",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2840090491927467305435091
% SZS output start Proof for 2840090491927467305435091
4. ! [X0] : ((creative(X0) & old(X0)) <=> strong(X0)) [input p3]
9. ! [X0] : (patient(X0) => strong(X0)) [input p8]
19. ~rich(alice) & patient(alice) [input p18]
25. ~old(alice) [input hypothesis]
34. ! [X0] ... | 0 |
Everyone who is not funny is brave and vice versa.
If someone is not kind or old then someone is creative.
Everyone who is both not patient and happy is not patient.
Everyone who is not curious is not calm or not humble and vice versa.
Everyone who is either quiet or happy is creative and vice versa.
Everyone who is ei... | Fred is calm. | neutral | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)&happy(X))=>~patient(X)))&
(![X]:(~curious(X)<=>(~calm(X)|~humble(X))))&
(![X]:((quiet(X)<~>happy(X))<=>creative(X)))&
(![X]:((strong(X)<~>kind(X))=>(quiet(X)|~strong(X))))&
(![X]:((creative(X)<~>brave(X))=>(~quiet(X)<... | calm(fred) | [] | null | 0 |
Everyone who is funny is both not tall and not rich and vice versa. If someone is both tall and quiet then someone is both not old and not quiet. Everyone who is either curious or not curious is not old or kind and vice versa. Everyone who is not brave or curious is not curious and vice versa. If someone is curious or ... | Alice is not creative. | neutral | (![X]:(funny(X)<=>(~tall(X)&~rich(X))))&
((?[X]:((tall(X)&quiet(X))))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|kind(X))))&
(![X]:((~brave(X)|curious(X))<=>~curious(X)))&
((?[X]:((curious(X)|humble(X))))=>(creative(john)))&
((?[X]:((~kind(X)<~>~happy(X))))<=>((funny(alice)&~humble(ali... | ~creative(alice) | [] | null | 0 |
Everyone who is either patient or old is both not curious and not humble.
If susan is either strong or not happy then someone is either happy or generous and vice versa.
Everyone who is both not rich and generous is both not tall and patient.
Everyone who is not tall is both funny and not calm.
Everyone who is both not... | Lucy is funny. | contradiction | (![X]:((patient(X)<~>old(X))=>(~curious(X)&~humble(X))))&
(((strong(susan)<~>~happy(susan)))<=>(?[X]:((happy(X)<~>generous(X)))))&
(![X]:((~rich(X)&generous(X))=>(~tall(X)&patient(X))))&
(![X]:(~tall(X)=>(funny(X)&~calm(X))))&
(![X]:((~funny(X)&~humble(X))<=>(~brave(X)|creative(X))))&
(((~humble(susan)&~happy(susan)))=... | funny(lucy) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3394133861924848606907808
% SZS output start Proof for 3394133861924848606907808
5. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (creative(X0) | ~brave(X0))) [input p4]
12. ! [X0] : ((funny(X0) | happy(X0)) => (kind(X0) & creative(X0))) [input p11]
21. funny(lucy) [input hypothesis]
34. ! [X0... | 0 |
Everyone who is either not generous or creative is calm. Everyone who is either not patient or generous is both funny and not curious. Everyone who is both not old and old is not rich or old and vice versa. Everyone who is rich is kind. If fred is kind or not strong then someone is either calm or not strong. Everyone w... | Paul is funny. | entailment | (![X]:((~generous(X)<~>creative(X))=>calm(X)))&
(![X]:((~patient(X)<~>generous(X))=>(funny(X)&~curious(X))))&
(![X]:((~old(X)&old(X))<=>(~rich(X)|old(X))))&
(![X]:(rich(X)=>kind(X)))&
(((kind(fred)|~strong(fred)))=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((strong(X)|~calm(X))=>generous(X)))&
(![X]:((happy(X)<~>~rich(X)... | funny(paul) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8932415324520378113318046
% SZS output start Proof for 8932415324520378113318046
3. ! [X0] : ((old(X0) & ~old(X0)) <=> (old(X0) | ~rich(X0))) [input p2]
8. (creative(paul) & ~rich(paul)) <=> ? [X0] : (~funny(X0) | ~generous(X0)) [input p7]
23. ~funny(paul) [input hypothesis]
39. ! [X0] : ... | 0 |
Everyone who is rich or not strong is not kind. Everyone who is rich is curious and vice versa. Everyone who is not wise or not funny is both not curious and not tall and vice versa. Everyone who is both not strong and not brave is both patient and brave. If fred is humble then someone is either not old or not creative... | Lucy is not rich. | neutral | (![X]:((rich(X)|~strong(X))=>~kind(X)))&
(![X]:(rich(X)<=>curious(X)))&
(![X]:((~wise(X)|~funny(X))<=>(~curious(X)&~tall(X))))&
(![X]:((~strong(X)&~brave(X))=>(patient(X)&brave(X))))&
((humble(fred))<=>(?[X]:((~old(X)<~>~creative(X)))))&
(![X]:(calm(X)=>(wise(X)|strong(X))))&
(![X]:((quiet(X)<~>rich(X))=>(quiet(X)&brav... | ~rich(lucy) | [] | null | 0 |
Everyone who is either not curious or patient is humble or not generous and vice versa.
Everyone who is not kind or not funny is not wise and vice versa.
If someone is either not patient or quiet then someone is both brave and not wise and vice versa.
If someone is both not curious and not kind then fred is wise.
Every... | Mary is generous. | neutral | (![X]:((~curious(X)<~>patient(X))<=>(humble(X)|~generous(X))))&
(![X]:((~kind(X)|~funny(X))<=>~wise(X)))&
((?[X]:((~patient(X)<~>quiet(X))))<=>(?[X]:((brave(X)&~wise(X)))))&
((?[X]:((~curious(X)&~kind(X))))=>(wise(fred)))&
(![X]:((~happy(X)&calm(X))<=>(~happy(X)<~>quiet(X))))&
(![X]:((humble(X)&~patient(X))=>rich(X)))&... | generous(mary) | [] | null | 0 |
Everyone who is either not happy or tall is tall and vice versa.
Everyone who is either not quiet or not patient is both not tall and rich.
If someone is both not brave and kind then susan is brave.
If someone is either not calm or quiet then someone is wise or not tall and vice versa.
If mary is either tall or kind th... | Susan is not calm. | entailment | (![X]:((~happy(X)<~>tall(X))<=>tall(X)))&
(![X]:((~quiet(X)<~>~patient(X))=>(~tall(X)&rich(X))))&
((?[X]:((~brave(X)&kind(X))))=>(brave(susan)))&
((?[X]:((~calm(X)<~>quiet(X))))<=>(?[X]:((wise(X)|~tall(X)))))&
(((tall(mary)<~>kind(mary)))<=>(patient(mary)))&
(![X]:(~patient(X)=>(~kind(X)|~tall(X))))&
((?[X]:((quiet(X)&... | ~calm(susan) | [
"p0",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7203591709617194056518150
% SZS output start Proof for 7203591709617194056518150
1. ! [X0] : ((~happy(X0) <~> tall(X0)) <=> tall(X0)) [input p0]
8. ! [X0] : (~calm(X0) <=> (rich(X0) | ~funny(X0))) [input p7]
13. ! [X0] : ((tall(X0) | happy(X0)) <=> (~quiet(X0) & ~funny(X0))) [input p12]
2... | 0 |
Everyone who is either generous or not kind is either rich or not creative and vice versa.
Everyone who is not brave is happy or not rich and vice versa.
If susan is both humble and not strong then paul is both not rich and not curious and vice versa.
Everyone who is rich or quiet is not old or brave and vice versa.
Ev... | Lucy is quiet. | neutral | (![X]:((generous(X)<~>~kind(X))<=>(rich(X)<~>~creative(X))))&
(![X]:(~brave(X)<=>(happy(X)|~rich(X))))&
(((humble(susan)&~strong(susan)))<=>((~rich(paul)&~curious(paul))))&
(![X]:((rich(X)|quiet(X))<=>(~old(X)|brave(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(creative(X)<~>~calm(X))))&
(![X]:(tall(X)=>~quiet(X)))&
(((~quiet... | quiet(lucy) | [] | null | 0 |
If someone is both old and not generous then paul is both not creative and not wise. If someone is both strong and not calm then someone is rich and vice versa. If someone is either humble or not patient then alice is either wise or brave and vice versa. Everyone who is not funny is not funny or not tall. If fred is ei... | Alice is old. | entailment | ((?[X]:((old(X)&~generous(X))))=>((~creative(paul)&~wise(paul))))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:(rich(X))))&
((?[X]:((humble(X)<~>~patient(X))))<=>((wise(alice)<~>brave(alice))))&
(![X]:(~funny(X)=>(~funny(X)|~tall(X))))&
(((strong(fred)<~>funny(fred)))=>(?[X]:((creative(X)|~creative(X)))))&
(![X]:((creative(... | old(alice) | [
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2939675665322141206960178
% SZS output start Proof for 2939675665322141206960178
6. ! [X0] : ((quiet(X0) | creative(X0)) <=> (old(X0) <~> tall(X0))) [input p5]
7. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> generous(X0)) [input p6]
9. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(... | 0 |
Everyone who is not happy is both rich and humble and vice versa.
Everyone who is not tall is both generous and not old and vice versa.
Everyone who is not patient is not creative and vice versa.
Everyone who is curious is not kind and vice versa.
Everyone who is both not brave and brave is both not rich and creative a... | Paul is tall. | contradiction | (![X]:(~happy(X)<=>(rich(X)&humble(X))))&
(![X]:(~tall(X)<=>(generous(X)&~old(X))))&
(![X]:(~patient(X)<=>~creative(X)))&
(![X]:(curious(X)<=>~kind(X)))&
(![X]:((~brave(X)&brave(X))<=>(~rich(X)&creative(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)<~>~patient(X)))))&
(![X]:(kind(X)=>(~generous(X)<~>old(X))))&
(((~ri... | tall(paul) | [
"p0",
"p2",
"p4",
"p8",
"p10",
"p11",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7756024723665855971511101
% SZS output start Proof for 7756024723665855971511101
1. ! [X0] : (~happy(X0) <=> (humble(X0) & rich(X0))) [input p0]
3. ! [X0] : (~patient(X0) <=> ~creative(X0)) [input p2]
5. ! [X0] : ((brave(X0) & ~brave(X0)) <=> (creative(X0) & ~rich(X0))) [input p4]
9. ! [X... | 0 |
Everyone who is quiet or not strong is either not wise or not curious and vice versa.
Everyone who is both not strong and happy is funny or not strong and vice versa.
Everyone who is both not patient and happy is both tall and not wise.
Everyone who is strong or not rich is not funny or patient.
If someone is either ha... | Lucy is curious. | contradiction | (![X]:((quiet(X)|~strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~strong(X)&happy(X))<=>(funny(X)|~strong(X))))&
(![X]:((~patient(X)&happy(X))=>(tall(X)&~wise(X))))&
(![X]:((strong(X)|~rich(X))=>(~funny(X)|patient(X))))&
((?[X]:((happy(X)<~>~tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~brave(X)&fun... | curious(lucy) | [
"p1",
"p3",
"p5",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7669428075147848697811649
% SZS output start Proof for 7669428075147848697811649
2. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~strong(X0) | funny(X0))) [input p1]
4. ! [X0] : ((~rich(X0) | strong(X0)) => (patient(X0) | ~funny(X0))) [input p3]
6. ! [X0] : ((quiet(X0) | ~happy(X0)) => (funny... | 0 |
Everyone who is not old or not tall is either not quiet or not creative.
Everyone who is both not kind and not rich is both kind and creative.
If someone is both curious and not humble then someone is either kind or not funny and vice versa.
If lucy is rich or not creative then someone is not old and vice versa.
Everyo... | Lucy is patient. | entailment | (![X]:((~old(X)|~tall(X))=>(~quiet(X)<~>~creative(X))))&
(![X]:((~kind(X)&~rich(X))=>(kind(X)&creative(X))))&
((?[X]:((curious(X)&~humble(X))))<=>(?[X]:((kind(X)<~>~funny(X)))))&
(((rich(lucy)|~creative(lucy)))<=>(?[X]:(~old(X))))&
(![X]:(strong(X)<=>(~wise(X)|~rich(X))))&
((?[X]:((strong(X)|~curious(X))))=>((rich(lucy... | patient(lucy) | [
"p7",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6794640231431859374740665
% SZS output start Proof for 6794640231431859374740665
8. ! [X0] : (~strong(X0) <=> ~humble(X0)) [input p7]
10. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (humble(X0) <~> ~patient(X0))) [input p9]
19. ~strong(lucy) [input p18]
24. ~patient(lucy) [input hypothesis]
55... | 0 |
Everyone who is either quiet or creative is happy or not generous. Everyone who is rich or wise is not creative or happy and vice versa. Everyone who is either not patient or not brave is creative or not tall. Everyone who is funny is not quiet or rich and vice versa. If lucy is wise then someone is both wise and not p... | Alice is not funny. | contradiction | (![X]:((quiet(X)<~>creative(X))=>(happy(X)|~generous(X))))&
(![X]:((rich(X)|wise(X))<=>(~creative(X)|happy(X))))&
(![X]:((~patient(X)<~>~brave(X))=>(creative(X)|~tall(X))))&
(![X]:(funny(X)<=>(~quiet(X)|rich(X))))&
((wise(lucy))=>(?[X]:((wise(X)&~patient(X)))))&
(![X]:((happy(X)|~calm(X))<=>(~strong(X)&humble(X))))&
(!... | ~funny(alice) | [
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1242113503079972648966514
% SZS output start Proof for 1242113503079972648966514
4. ! [X0] : (funny(X0) <=> (rich(X0) | ~quiet(X0))) [input p3]
6. ! [X0] : ((~calm(X0) | happy(X0)) <=> (humble(X0) & ~strong(X0))) [input p5]
7. ! [X0] : ((~brave(X0) | tall(X0)) <=> (rich(X0) <~> ~curious(X... | 0 |
Everyone who is not generous is both not brave and not happy and vice versa. If john is either strong or humble then fred is both not calm and happy and vice versa. If someone is either not curious or rich then someone is not patient or wise and vice versa. Everyone who is either not strong or not creative is either ol... | Alice is not strong. | contradiction | (![X]:(~generous(X)<=>(~brave(X)&~happy(X))))&
(((strong(john)<~>humble(john)))<=>((~calm(fred)&happy(fred))))&
((?[X]:((~curious(X)<~>rich(X))))<=>(?[X]:((~patient(X)|wise(X)))))&
(![X]:((~strong(X)<~>~creative(X))=>(old(X)<~>~strong(X))))&
(![X]:((wise(X)&~old(X))<=>(~old(X)&happy(X))))&
(![X]:(creative(X)<=>(~tall(X... | ~strong(alice) | [
"p3",
"p5",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2040930219164765191887659
% SZS output start Proof for 2040930219164765191887659
4. ! [X0] : ((~strong(X0) <~> ~creative(X0)) => (old(X0) <~> ~strong(X0))) [input p3]
6. ! [X0] : (creative(X0) <=> (generous(X0) | ~tall(X0))) [input p5]
7. ! [X0] : (~old(X0) => (quiet(X0) & ~patient(X0))) ... | 0 |
Everyone who is both creative and quiet is not tall or rich and vice versa. If someone is both not kind and tall then susan is either not kind or not funny and vice versa. If someone is curious then lucy is not patient or not happy and vice versa. Everyone who is both not quiet and rich is both calm and wise and vice v... | John is not tall. | neutral | (![X]:((creative(X)&quiet(X))<=>(~tall(X)|rich(X))))&
((?[X]:((~kind(X)&tall(X))))<=>((~kind(susan)<~>~funny(susan))))&
((?[X]:(curious(X)))<=>((~patient(lucy)|~happy(lucy))))&
(![X]:((~quiet(X)&rich(X))<=>(calm(X)&wise(X))))&
(![X]:((~curious(X)|strong(X))<=>~quiet(X)))&
(![X]:(rich(X)<=>tall(X)))&
(![X]:((funny(X)|~c... | ~tall(john) | [] | null | 0 |
If someone is not rich then fred is both not patient and patient and vice versa. Everyone who is not calm or not happy is both strong and creative and vice versa. Everyone who is not strong is both kind and not wise. If fred is funny then someone is both tall and strong and vice versa. Everyone who is either humble or ... | Susan is not generous. | entailment | ((?[X]:(~rich(X)))<=>((~patient(fred)&patient(fred))))&
(![X]:((~calm(X)|~happy(X))<=>(strong(X)&creative(X))))&
(![X]:(~strong(X)=>(kind(X)&~wise(X))))&
((funny(fred))<=>(?[X]:((tall(X)&strong(X)))))&
(![X]:((humble(X)<~>rich(X))=>~old(X)))&
(![X]:(~curious(X)=>(~old(X)<~>~patient(X))))&
(![X]:(calm(X)=>(wise(X)&~gene... | ~generous(susan) | [
"p1",
"p6",
"p7",
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 233105327295078953935001
% SZS output start Proof for 233105327295078953935001
2. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> (creative(X0) & strong(X0))) [input p1]
7. ! [X0] : (calm(X0) => (~generous(X0) & wise(X0))) [input p6]
8. ? [X0] : (~tall(X0) | ~kind(X0)) <=> (curious(susan) & ~creat... | 0 |
If someone is both old and funny then alice is both strong and not curious.
If lucy is both not calm and not patient then someone is both creative and not old and vice versa.
Everyone who is kind or tall is both not tall and old and vice versa.
Everyone who is quiet is both calm and not funny.
If john is either calm or... | Lucy is not patient. | entailment | ((?[X]:((old(X)&funny(X))))=>((strong(alice)&~curious(alice))))&
(((~calm(lucy)&~patient(lucy)))<=>(?[X]:((creative(X)&~old(X)))))&
(![X]:((kind(X)|tall(X))<=>(~tall(X)&old(X))))&
(![X]:(quiet(X)=>(calm(X)&~funny(X))))&
(((calm(john)<~>~happy(john)))=>(?[X]:((humble(X)&creative(X)))))&
(![X]:(~happy(X)<=>(~old(X)<~>fun... | ~patient(lucy) | [
"p0",
"p1",
"p2",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 554881186700308426829086
% SZS output start Proof for 554881186700308426829086
1. ? [X0] : (funny(X0) & old(X0)) => (~curious(alice) & strong(alice)) [input p0]
2. (~patient(lucy) & ~calm(lucy)) <=> ? [X0] : (~old(X0) & creative(X0)) [input p1]
3. ! [X0] : ((tall(X0) | kind(X0)) <=> (old(... | 0 |
Everyone who is either kind or funny is both not quiet and quiet. Everyone who is both not humble and tall is quiet or wise. If mary is creative or not kind then someone is kind or not happy and vice versa. If someone is kind then mary is both not brave and not generous. Everyone who is generous or tall is either wise ... | John is not kind. | entailment | (![X]:((kind(X)<~>funny(X))=>(~quiet(X)&quiet(X))))&
(![X]:((~humble(X)&tall(X))=>(quiet(X)|wise(X))))&
(((creative(mary)|~kind(mary)))<=>(?[X]:((kind(X)|~happy(X)))))&
((?[X]:(kind(X)))=>((~brave(mary)&~generous(mary))))&
(![X]:((generous(X)|tall(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((quiet(X)&patient(X))=>(calm(X)<~>... | ~kind(john) | [
"p0",
"p3",
"p6",
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5134348389876536789576780
% SZS output start Proof for 5134348389876536789576780
1. ! [X0] : ((kind(X0) <~> funny(X0)) => (quiet(X0) & ~quiet(X0))) [input p0]
4. ? [X0] : kind(X0) => (~generous(mary) & ~brave(mary)) [input p3]
7. ? [X0] : (~rich(X0) | tall(X0)) => ? [X0] : (generous(X0) &... | 0 |
Everyone who is either patient or humble is funny and vice versa.
Everyone who is either not happy or rich is not calm.
If susan is either wise or humble then paul is either old or creative.
If susan is not happy then someone is both rich and kind.
Everyone who is generous or calm is both wise and not kind and vice ver... | Fred is humble. | contradiction | (![X]:((patient(X)<~>humble(X))<=>funny(X)))&
(![X]:((~happy(X)<~>rich(X))=>~calm(X)))&
(((wise(susan)<~>humble(susan)))=>((old(paul)<~>creative(paul))))&
((~happy(susan))=>(?[X]:((rich(X)&kind(X)))))&
(![X]:((generous(X)|calm(X))<=>(wise(X)&~kind(X))))&
(((~tall(alice)|~funny(alice)))=>((tall(lucy)<~>humble(lucy))))&
... | humble(fred) | [
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 119168489050416045340760
% SZS output start Proof for 119168489050416045340760
14. ? [X0] : (~strong(X0) | happy(X0)) => ~humble(fred) [input p13]
18. generous(alice) & happy(alice) [input p17]
25. humble(fred) [input hypothesis]
33. ~humble(fred) | ! [X0] : (strong(X0) & ~happy(X0)) [enn... | 0 |
Everyone who is both quiet and funny is both not rich and quiet and vice versa. Everyone who is both not generous and curious is humble. Everyone who is either quiet or old is either not creative or curious. Everyone who is rich is either kind or not creative. Everyone who is either calm or not calm is generous or tall... | Alice is tall. | entailment | (![X]:((quiet(X)&funny(X))<=>(~rich(X)&quiet(X))))&
(![X]:((~generous(X)&curious(X))=>humble(X)))&
(![X]:((quiet(X)<~>old(X))=>(~creative(X)<~>curious(X))))&
(![X]:(rich(X)=>(kind(X)<~>~creative(X))))&
(![X]:((calm(X)<~>~calm(X))<=>(generous(X)|tall(X))))&
(![X]:((~strong(X)&calm(X))=>funny(X)))&
(![X]:(~quiet(X)<=>(~c... | tall(alice) | [
"p0",
"p6",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6653913170803127323530572
% SZS output start Proof for 6653913170803127323530572
1. ! [X0] : ((funny(X0) & quiet(X0)) <=> (quiet(X0) & ~rich(X0))) [input p0]
7. ! [X0] : (~quiet(X0) <=> (~happy(X0) & ~calm(X0))) [input p6]
10. ! [X0] : ((~funny(X0) <~> ~calm(X0)) <=> (~rich(X0) <~> ~quiet... | 0 |
Everyone who is either not calm or creative is both not wise and not happy and vice versa.
Everyone who is kind or quiet is not funny or not calm and vice versa.
Everyone who is not strong or wise is tall.
Everyone who is not humble or strong is not kind or not generous.
Everyone who is not calm or rich is not quiet or... | Fred is not brave. | entailment | (![X]:((~calm(X)<~>creative(X))<=>(~wise(X)&~happy(X))))&
(![X]:((kind(X)|quiet(X))<=>(~funny(X)|~calm(X))))&
(![X]:((~strong(X)|wise(X))=>tall(X)))&
(![X]:((~humble(X)|strong(X))=>(~kind(X)|~generous(X))))&
(![X]:((~calm(X)|rich(X))<=>(~quiet(X)|generous(X))))&
(![X]:(brave(X)=>(~quiet(X)&generous(X))))&
(![X]:((~stro... | ~brave(fred) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5643600589002638651186779
% SZS output start Proof for 5643600589002638651186779
1. ! [X0] : ((~calm(X0) <~> creative(X0)) <=> (~happy(X0) & ~wise(X0))) [input p0]
3. ! [X0] : ((wise(X0) | ~strong(X0)) => tall(X0)) [input p2]
5. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (generous(X0) | ~quiet(... | 0 |
Everyone who is not quiet is both old and generous. Everyone who is not old or kind is either not rich or not strong. If someone is both brave and not generous then someone is brave. If fred is either wise or tall then someone is either not old or creative and vice versa. Everyone who is not generous is rich and vice v... | Lucy is humble. | neutral | (![X]:(~quiet(X)=>(old(X)&generous(X))))&
(![X]:((~old(X)|kind(X))=>(~rich(X)<~>~strong(X))))&
((?[X]:((brave(X)&~generous(X))))=>(?[X]:(brave(X))))&
(((wise(fred)<~>tall(fred)))<=>(?[X]:((~old(X)<~>creative(X)))))&
(![X]:(~generous(X)<=>rich(X)))&
(![X]:((~strong(X)<~>generous(X))=>(~old(X)&wise(X))))&
(![X]:((tall(X)... | humble(lucy) | [] | null | 0 |
If someone is either not curious or not quiet then someone is not generous or not patient.
If fred is either not tall or not kind then someone is both strong and brave.
Everyone who is wise is not happy and vice versa.
Everyone who is both not creative and old is not calm or old and vice versa.
If someone is both calm ... | Fred is not creative. | entailment | ((?[X]:((~curious(X)<~>~quiet(X))))=>(?[X]:((~generous(X)|~patient(X)))))&
(((~tall(fred)<~>~kind(fred)))=>(?[X]:((strong(X)&brave(X)))))&
(![X]:(wise(X)<=>~happy(X)))&
(![X]:((~creative(X)&old(X))<=>(~calm(X)|old(X))))&
((?[X]:((calm(X)&happy(X))))<=>((~happy(john)&~kind(john))))&
(((curious(mary)<~>~patient(mary)))<=... | ~creative(fred) | [
"p2",
"p3",
"p4",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 988769485285451963569269
% SZS output start Proof for 988769485285451963569269
3. ! [X0] : (wise(X0) <=> ~happy(X0)) [input p2]
4. ! [X0] : ((old(X0) & ~creative(X0)) <=> (old(X0) | ~calm(X0))) [input p3]
5. ? [X0] : (happy(X0) & calm(X0)) <=> (~kind(john) & ~happy(john)) [input p4]
7. ! ... | 0 |
If someone is strong then susan is not patient and vice versa. If someone is either happy or not kind then someone is both not happy and not brave and vice versa. Everyone who is not generous is not calm or not happy and vice versa. Everyone who is either quiet or not funny is both happy and quiet and vice versa. If so... | Paul is generous. | contradiction | ((?[X]:(strong(X)))<=>(~patient(susan)))&
((?[X]:((happy(X)<~>~kind(X))))<=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(~generous(X)<=>(~calm(X)|~happy(X))))&
(![X]:((quiet(X)<~>~funny(X))<=>(happy(X)&quiet(X))))&
((?[X]:((generous(X)<~>~creative(X))))<=>(humble(paul)))&
(![X]:((~rich(X)&~brave(X))=>(~brave(X)&~curious(X))... | generous(paul) | [
"p2",
"p3",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 290256744145483388824779
% SZS output start Proof for 290256744145483388824779
3. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~calm(X0))) [input p2]
4. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> (quiet(X0) & happy(X0))) [input p3]
11. ? [X0] : (~quiet(X0) & funny(X0)) <=> (~curious(paul) | ~c... | 0 |
Everyone who is kind or not humble is both old and not tall.
Everyone who is strong or old is both not wise and rich and vice versa.
Everyone who is calm or old is both not patient and old and vice versa.
If someone is either not creative or quiet then fred is kind or not happy and vice versa.
If lucy is either not tal... | Paul is curious. | entailment | (![X]:((kind(X)|~humble(X))=>(old(X)&~tall(X))))&
(![X]:((strong(X)|old(X))<=>(~wise(X)&rich(X))))&
(![X]:((calm(X)|old(X))<=>(~patient(X)&old(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>((kind(fred)|~happy(fred))))&
(((~tall(lucy)<~>generous(lucy)))=>((generous(john)<~>happy(john))))&
(![X]:(brave(X)=>~kind(X)))&
(![... | curious(paul) | [
"p0",
"p1",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 50537178342649873481261
% SZS output start Proof for 50537178342649873481261
1. ! [X0] : ((~humble(X0) | kind(X0)) => (~tall(X0) & old(X0))) [input p0]
2. ! [X0] : ((old(X0) | strong(X0)) <=> (rich(X0) & ~wise(X0))) [input p1]
11. ! [X0] : ((wise(X0) <~> ~funny(X0)) <=> (~patient(X0) & ~h... | 0 |
Everyone who is either wise or quiet is either not generous or generous and vice versa. If someone is not calm then someone is old or not funny and vice versa. Everyone who is not brave is kind and vice versa. Everyone who is either not happy or strong is both not rich and not calm. Everyone who is tall or strong is bo... | Mary is quiet. | entailment | (![X]:((wise(X)<~>quiet(X))<=>(~generous(X)<~>generous(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((old(X)|~funny(X)))))&
(![X]:(~brave(X)<=>kind(X)))&
(![X]:((~happy(X)<~>strong(X))=>(~rich(X)&~calm(X))))&
(![X]:((tall(X)|strong(X))<=>(~curious(X)&wise(X))))&
((?[X]:((old(X)&~kind(X))))=>(?[X]:(humble(X))))&
(((funny(susan)&pa... | quiet(mary) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7135698082849213325769871
% SZS output start Proof for 7135698082849213325769871
24. quiet(mary) & calm(mary) [input p23]
25. ~quiet(mary) [input hypothesis]
151. quiet(mary) [cnf transformation 24]
152. ~quiet(mary) [cnf transformation 25]
312. $false [subsumption resolution 152,151]
% S... | 0 |
If john is not happy or curious then susan is either generous or not wise.
If fred is either humble or tall then someone is generous.
Everyone who is humble or not tall is not rich or not brave and vice versa.
If someone is not tall then someone is both happy and curious and vice versa.
Everyone who is both not strong ... | Alice is not patient. | neutral | (((~happy(john)|curious(john)))=>((generous(susan)<~>~wise(susan))))&
(((humble(fred)<~>tall(fred)))=>(?[X]:(generous(X))))&
(![X]:((humble(X)|~tall(X))<=>(~rich(X)|~brave(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((happy(X)&curious(X)))))&
(![X]:((~strong(X)&patient(X))=>(wise(X)<~>calm(X))))&
(![X]:((quiet(X)|~creative(X))<=... | ~patient(alice) | [] | null | 0 |
If someone is calm or happy then someone is both strong and not curious and vice versa.
Everyone who is not funny is not generous or not old and vice versa.
Everyone who is not tall is both generous and not old and vice versa.
Everyone who is curious is both quiet and generous.
If fred is not kind then someone is eithe... | Fred is old. | contradiction | ((?[X]:((calm(X)|happy(X))))<=>(?[X]:((strong(X)&~curious(X)))))&
(![X]:(~funny(X)<=>(~generous(X)|~old(X))))&
(![X]:(~tall(X)<=>(generous(X)&~old(X))))&
(![X]:(curious(X)=>(quiet(X)&generous(X))))&
((~kind(fred))<=>(?[X]:((~patient(X)<~>~happy(X)))))&
(![X]:((~old(X)<~>strong(X))<=>~old(X)))&
(![X]:(~old(X)=>(wise(X)<... | old(fred) | [
"p0",
"p2",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1291991697120525029567796
% SZS output start Proof for 1291991697120525029567796
1. ? [X0] : (happy(X0) | calm(X0)) <=> ? [X0] : (~curious(X0) & strong(X0)) [input p0]
3. ! [X0] : (~tall(X0) <=> (~old(X0) & generous(X0))) [input p2]
6. ! [X0] : ((~old(X0) <~> strong(X0)) <=> ~old(X0)) [in... | 0 |
Everyone who is either curious or not curious is either not creative or strong and vice versa. Everyone who is both brave and not creative is either not kind or not happy and vice versa. Everyone who is not strong is both strong and calm and vice versa. If someone is strong then paul is happy and vice versa. If susan i... | Alice is not patient. | contradiction | (![X]:((curious(X)<~>~curious(X))<=>(~creative(X)<~>strong(X))))&
(![X]:((brave(X)&~creative(X))<=>(~kind(X)<~>~happy(X))))&
(![X]:(~strong(X)<=>(strong(X)&calm(X))))&
((?[X]:(strong(X)))<=>(happy(paul)))&
(((patient(susan)|~quiet(susan)))<=>(~strong(lucy)))&
((brave(mary))=>((~calm(john)&~patient(john))))&
((?[X]:(~pa... | ~patient(alice) | [
"p0",
"p2",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7287524003365966642437833
% SZS output start Proof for 7287524003365966642437833
1. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~creative(X0) <~> strong(X0))) [input p0]
3. ! [X0] : (~strong(X0) <=> (calm(X0) & strong(X0))) [input p2]
10. ! [X0] : (generous(X0) <=> ~wise(X0)) [input p9]... | 0 |
Everyone who is either not quiet or calm is both not creative and rich and vice versa.
If someone is not generous then paul is humble or patient and vice versa.
Everyone who is not happy is not strong and vice versa.
Everyone who is calm is both calm and not strong.
Everyone who is either kind or tall is not quiet or n... | John is calm. | contradiction | (![X]:((~quiet(X)<~>calm(X))<=>(~creative(X)&rich(X))))&
((?[X]:(~generous(X)))<=>((humble(paul)|patient(paul))))&
(![X]:(~happy(X)<=>~strong(X)))&
(![X]:(calm(X)=>(calm(X)&~strong(X))))&
(![X]:((kind(X)<~>tall(X))=>(~quiet(X)|~old(X))))&
(((curious(mary)|~kind(mary)))<=>((~quiet(john)|wise(john))))&
(![X]:((~kind(X)|~... | calm(john) | [
"p3",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4031633471797301747177122
% SZS output start Proof for 4031633471797301747177122
4. ! [X0] : (calm(X0) => (~strong(X0) & calm(X0))) [input p3]
7. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> (happy(X0) & ~generous(X0))) [input p6]
13. ! [X0] : ((~humble(X0) & ~happy(X0)) <=> ~tall(X0)) [input p1... | 0 |
Everyone who is strong is not generous and vice versa.
If john is not rich or not calm then someone is not strong or not wise.
Everyone who is not calm or not strong is both not wise and not happy and vice versa.
If lucy is both not creative and not generous then paul is not kind or not tall and vice versa.
If someone ... | Lucy is brave. | neutral | (![X]:(strong(X)<=>~generous(X)))&
(((~rich(john)|~calm(john)))=>(?[X]:((~strong(X)|~wise(X)))))&
(![X]:((~calm(X)|~strong(X))<=>(~wise(X)&~happy(X))))&
(((~creative(lucy)&~generous(lucy)))<=>((~kind(paul)|~tall(paul))))&
((?[X]:(generous(X)))<=>((~brave(mary)&brave(mary))))&
(![X]:((~kind(X)&~happy(X))=>(~kind(X)<~>pa... | brave(lucy) | [] | null | 0 |
If someone is generous then paul is both wise and quiet and vice versa.
If john is not wise then fred is either curious or wise and vice versa.
If someone is not brave or not patient then someone is both old and patient and vice versa.
If someone is both quiet and not old then john is either old or curious and vice ver... | Mary is not funny. | contradiction | ((?[X]:(generous(X)))<=>((wise(paul)&quiet(paul))))&
((~wise(john))<=>((curious(fred)<~>wise(fred))))&
((?[X]:((~brave(X)|~patient(X))))<=>(?[X]:((old(X)&patient(X)))))&
((?[X]:((quiet(X)&~old(X))))<=>((old(john)<~>curious(john))))&
((?[X]:((old(X)|kind(X))))=>((~humble(lucy)&~funny(lucy))))&
((?[X]:((wise(X)|~patient(... | ~funny(mary) | [
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7223785961058797968206746
% SZS output start Proof for 7223785961058797968206746
13. ! [X0] : ((patient(X0) | wise(X0)) <=> ~creative(X0)) [input p12]
15. ! [X0] : ((creative(X0) & ~funny(X0)) <=> ~funny(X0)) [input p14]
20. patient(mary) [input p19]
24. ~funny(mary) [input hypothesis]
67... | 0 |
If someone is either not creative or not happy then fred is both strong and wise. Everyone who is old or not tall is not brave or curious. If paul is not humble then paul is not quiet or strong and vice versa. Everyone who is not quiet is either strong or not brave and vice versa. If paul is not generous or not patient... | John is not creative. | neutral | ((?[X]:((~creative(X)<~>~happy(X))))=>((strong(fred)&wise(fred))))&
(![X]:((old(X)|~tall(X))=>(~brave(X)|curious(X))))&
((~humble(paul))<=>((~quiet(paul)|strong(paul))))&
(![X]:(~quiet(X)<=>(strong(X)<~>~brave(X))))&
(((~generous(paul)|~patient(paul)))<=>((~curious(alice)&~creative(alice))))&
((?[X]:(old(X)))=>((~funny... | ~creative(john) | [] | null | 0 |
If someone is both not rich and calm then paul is not humble or happy.
If john is both not curious and kind then mary is not brave and vice versa.
Everyone who is either not kind or generous is calm or kind.
If susan is both tall and quiet then someone is both not patient and wise.
If someone is not old then someone is... | Lucy is calm. | entailment | ((?[X]:((~rich(X)&calm(X))))=>((~humble(paul)|happy(paul))))&
(((~curious(john)&kind(john)))<=>(~brave(mary)))&
(![X]:((~kind(X)<~>generous(X))=>(calm(X)|kind(X))))&
(((tall(susan)&quiet(susan)))=>(?[X]:((~patient(X)&wise(X)))))&
((?[X]:(~old(X)))<=>(?[X]:((creative(X)&~quiet(X)))))&
(((~funny(lucy)&brave(lucy)))=>(?[X... | calm(lucy) | [
"p4",
"p6",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4193808099633541667826023
% SZS output start Proof for 4193808099633541667826023
5. ? [X0] : ~old(X0) <=> ? [X0] : (~quiet(X0) & creative(X0)) [input p4]
7. ! [X0] : (~rich(X0) <=> (~old(X0) & rich(X0))) [input p6]
13. ! [X0] : ((happy(X0) | ~creative(X0)) <=> (~curious(X0) & ~strong(X0))... | 0 |
Everyone who is happy is not creative or patient and vice versa. Everyone who is wise or kind is both old and not brave. Everyone who is not calm is either kind or happy and vice versa. Everyone who is both strong and not tall is strong or not strong and vice versa. Everyone who is not kind or not humble is not happy a... | Susan is not old. | contradiction | (![X]:(happy(X)<=>(~creative(X)|patient(X))))&
(![X]:((wise(X)|kind(X))=>(old(X)&~brave(X))))&
(![X]:(~calm(X)<=>(kind(X)<~>happy(X))))&
(![X]:((strong(X)&~tall(X))<=>(strong(X)|~strong(X))))&
(![X]:((~kind(X)|~humble(X))<=>~happy(X)))&
((?[X]:(rich(X)))<=>(old(paul)))&
(![X]:((creative(X)&wise(X))<=>(old(X)&~old(X))))... | ~old(susan) | [
"p1",
"p2",
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 777980506138975589124125
% SZS output start Proof for 777980506138975589124125
2. ! [X0] : ((kind(X0) | wise(X0)) => (~brave(X0) & old(X0))) [input p1]
3. ! [X0] : (~calm(X0) <=> (kind(X0) <~> happy(X0))) [input p2]
5. ! [X0] : ((~humble(X0) | ~kind(X0)) <=> ~happy(X0)) [input p4]
23. ~ge... | 0 |
If someone is kind then john is not kind or generous and vice versa. If someone is either quiet or creative then susan is patient and vice versa. If someone is either not strong or not calm then someone is humble or not patient and vice versa. Everyone who is both not funny and not wise is either funny or not patient. ... | Alice is not strong. | contradiction | ((?[X]:(kind(X)))<=>((~kind(john)|generous(john))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(patient(susan)))&
((?[X]:((~strong(X)<~>~calm(X))))<=>(?[X]:((humble(X)|~patient(X)))))&
(![X]:((~funny(X)&~wise(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((generous(X)<~>funny(X))))=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~brave(X... | ~strong(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8725753208611126248191850
% SZS output start Proof for 8725753208611126248191850
17. strong(alice) & ~creative(alice) [input p16]
24. ~strong(alice) [input hypothesis]
143. strong(alice) [cnf transformation 17]
152. ~strong(alice) [cnf transformation 24]
313. $false [subsumption resolutio... | 0 |
If someone is both not generous and not happy then susan is either not strong or generous and vice versa. If lucy is both not generous and generous then john is not patient and vice versa. If someone is either not quiet or not old then alice is not creative. Everyone who is either not kind or not rich is either creativ... | Susan is wise. | entailment | ((?[X]:((~generous(X)&~happy(X))))<=>((~strong(susan)<~>generous(susan))))&
(((~generous(lucy)&generous(lucy)))<=>(~patient(john)))&
((?[X]:((~quiet(X)<~>~old(X))))=>(~creative(alice)))&
(![X]:((~kind(X)<~>~rich(X))=>(creative(X)<~>~happy(X))))&
(![X]:((quiet(X)|~rich(X))<=>(funny(X)|~kind(X))))&
(((~kind(alice)<~>happ... | wise(susan) | [
"p2",
"p8",
"p9",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4656752560166750944422577
% SZS output start Proof for 4656752560166750944422577
3. ? [X0] : (~quiet(X0) <~> ~old(X0)) => ~creative(alice) [input p2]
9. ! [X0] : ((creative(X0) <~> ~rich(X0)) => tall(X0)) [input p8]
10. ! [X0] : ((rich(X0) & wise(X0)) <=> (quiet(X0) | ~curious(X0))) [inpu... | 0 |
Everyone who is wise is not funny and vice versa.
Everyone who is not wise is both not creative and not tall.
Everyone who is not tall is either patient or not humble.
Everyone who is not quiet is not strong or wise.
If someone is either kind or not creative then someone is both kind and tall and vice versa.
If someone... | Fred is kind. | neutral | (![X]:(wise(X)<=>~funny(X)))&
(![X]:(~wise(X)=>(~creative(X)&~tall(X))))&
(![X]:(~tall(X)=>(patient(X)<~>~humble(X))))&
(![X]:(~quiet(X)=>(~strong(X)|wise(X))))&
((?[X]:((kind(X)<~>~creative(X))))<=>(?[X]:((kind(X)&tall(X)))))&
((?[X]:((~strong(X)&~patient(X))))=>((~calm(john)&~humble(john))))&
(((brave(fred)|~strong(f... | kind(fred) | [] | null | 0 |
If someone is both not humble and not happy then paul is either humble or quiet and vice versa.
Everyone who is not rich is not happy or not generous.
Everyone who is either not strong or not calm is not patient.
If paul is not calm or curious then someone is either not quiet or humble and vice versa.
Everyone who is e... | John is not rich. | contradiction | ((?[X]:((~humble(X)&~happy(X))))<=>((humble(paul)<~>quiet(paul))))&
(![X]:(~rich(X)=>(~happy(X)|~generous(X))))&
(![X]:((~strong(X)<~>~calm(X))=>~patient(X)))&
(((~calm(paul)|curious(paul)))<=>(?[X]:((~quiet(X)<~>humble(X)))))&
(![X]:((~calm(X)<~>calm(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((~old(X)|~brave(X))<=>~strong... | ~rich(john) | [
"p4",
"p6",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 392502687314912833700756
% SZS output start Proof for 392502687314912833700756
5. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (~happy(X0) <~> brave(X0))) [input p4]
7. ! [X0] : ((~patient(X0) & brave(X0)) <=> (rich(X0) <~> old(X0))) [input p6]
10. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (~quiet(X... | 0 |
If mary is either not old or not humble then someone is calm.
Everyone who is not old is either funny or not old.
If someone is either not happy or not generous then john is both tall and not quiet.
If john is either patient or not wise then paul is curious.
If someone is not calm or not kind then someone is both not o... | Lucy is not strong. | contradiction | (((~old(mary)<~>~humble(mary)))=>(?[X]:(calm(X))))&
(![X]:(~old(X)=>(funny(X)<~>~old(X))))&
((?[X]:((~happy(X)<~>~generous(X))))=>((tall(john)&~quiet(john))))&
(((patient(john)<~>~wise(john)))=>(curious(paul)))&
((?[X]:((~calm(X)|~kind(X))))=>(?[X]:((~old(X)&generous(X)))))&
(![X]:((~old(X)|~creative(X))<=>(wise(X)&~fu... | ~strong(lucy) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 39132029914793055348411
% SZS output start Proof for 39132029914793055348411
12. ! [X0] : ((strong(X0) & happy(X0)) <=> (quiet(X0) | brave(X0))) [input p11]
13. ! [X0] : ((brave(X0) & old(X0)) <=> ~brave(X0)) [input p12]
23. ~strong(lucy) [input hypothesis]
54. ! [X0] : (((strong(X0) & ha... | 0 |
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