premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is curious or tall then paul is either patient or creative.
If alice is strong or not funny then john is both rich and not kind.
Everyone who is kind or not rich is both not tall and not quiet.
Everyone who is either not humble or strong is kind or brave and vice versa.
If someone is not kind or quiet then p... | Alice is not brave. | neutral | ((?[X]:((curious(X)|tall(X))))=>((patient(paul)<~>creative(paul))))&
(((strong(alice)|~funny(alice)))=>((rich(john)&~kind(john))))&
(![X]:((kind(X)|~rich(X))=>(~tall(X)&~quiet(X))))&
(![X]:((~humble(X)<~>strong(X))<=>(kind(X)|brave(X))))&
((?[X]:((~kind(X)|quiet(X))))<=>((tall(paul)&~tall(paul))))&
(((humble(paul)&~tal... | ~brave(alice) | [] | null | 0 |
If fred is either happy or wise then susan is either rich or happy and vice versa. If someone is both not old and happy then someone is both strong and not rich and vice versa. Everyone who is quiet or strong is either rich or not strong. If someone is quiet then john is either quiet or not humble and vice versa. If so... | Lucy is curious. | entailment | (((happy(fred)<~>wise(fred)))<=>((rich(susan)<~>happy(susan))))&
((?[X]:((~old(X)&happy(X))))<=>(?[X]:((strong(X)&~rich(X)))))&
(![X]:((quiet(X)|strong(X))=>(rich(X)<~>~strong(X))))&
((?[X]:(quiet(X)))<=>((quiet(john)<~>~humble(john))))&
((?[X]:((kind(X)&strong(X))))=>(?[X]:((~tall(X)<~>~wise(X)))))&
((?[X]:((patient(X... | curious(lucy) | [
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 745131152495611164421678
% SZS output start Proof for 745131152495611164421678
20. wise(lucy) | curious(lucy) [input p19]
21. ~wise(lucy) [input p20]
25. ~curious(lucy) [input hypothesis]
145. wise(lucy) | curious(lucy) [cnf transformation 20]
146. ~wise(lucy) [cnf transformation 21]
153.... | 0 |
Everyone who is both old and not curious is both not wise and not creative. If paul is either not creative or not patient then someone is either not wise or old and vice versa. If someone is either not generous or not happy then someone is both creative and humble and vice versa. If alice is not kind then susan is not ... | Paul is not patient. | entailment | (![X]:((old(X)&~curious(X))=>(~wise(X)&~creative(X))))&
(((~creative(paul)<~>~patient(paul)))<=>(?[X]:((~wise(X)<~>old(X)))))&
((?[X]:((~generous(X)<~>~happy(X))))<=>(?[X]:((creative(X)&humble(X)))))&
((~kind(alice))=>(~humble(susan)))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|q... | ~patient(paul) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3964670941589603681533288
% SZS output start Proof for 3964670941589603681533288
1. ! [X0] : ((~curious(X0) & old(X0)) => (~creative(X0) & ~wise(X0))) [input p0]
2. (~creative(paul) <~> ~patient(paul)) <=> ? [X0] : (~wise(X0) <~> old(X0)) [input p1]
6. ! [X0] : ((quiet(X0) | ~creative(X0)... | 0 |
If someone is both not brave and old then mary is both old and strong and vice versa. Everyone who is not wise or not old is curious and vice versa. Everyone who is either calm or humble is both not generous and kind and vice versa. If someone is either brave or patient then someone is both not curious and not tall and... | Mary is not strong. | neutral | ((?[X]:((~brave(X)&old(X))))<=>((old(mary)&strong(mary))))&
(![X]:((~wise(X)|~old(X))<=>curious(X)))&
(![X]:((calm(X)<~>humble(X))<=>(~generous(X)&kind(X))))&
((?[X]:((brave(X)<~>patient(X))))<=>(?[X]:((~curious(X)&~tall(X)))))&
(![X]:((~tall(X)<~>~generous(X))<=>humble(X)))&
((patient(paul))<=>(?[X]:((~tall(X)&~genero... | ~strong(mary) | [] | null | 0 |
If someone is either strong or not kind then mary is humble and vice versa. Everyone who is either brave or not curious is not brave and vice versa. If someone is either tall or not kind then someone is both rich and not patient. Everyone who is not kind is either not patient or not tall. If someone is either quiet or ... | Susan is humble. | contradiction | ((?[X]:((strong(X)<~>~kind(X))))<=>(humble(mary)))&
(![X]:((brave(X)<~>~curious(X))<=>~brave(X)))&
((?[X]:((tall(X)<~>~kind(X))))=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:(~kind(X)=>(~patient(X)<~>~tall(X))))&
((?[X]:((quiet(X)<~>~quiet(X))))<=>(?[X]:((tall(X)&strong(X)))))&
((?[X]:((creative(X)|~happy(X))))<=>(?[X]:((c... | humble(susan) | [
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9187527342754644984752564
% SZS output start Proof for 9187527342754644984752564
10. ! [X0] : (~humble(X0) <=> (~patient(X0) | generous(X0))) [input p9]
19. generous(susan) & happy(susan) [input p18]
24. humble(susan) [input hypothesis]
55. ! [X0] : ((~humble(X0) | (patient(X0) & ~generou... | 0 |
If susan is not curious then someone is both not rich and not quiet.
Everyone who is not generous or not funny is funny.
Everyone who is quiet or creative is not happy or not humble.
If susan is either not tall or creative then paul is both old and not wise.
Everyone who is not generous is either not strong or patient ... | Mary is kind. | entailment | ((~curious(susan))=>(?[X]:((~rich(X)&~quiet(X)))))&
(![X]:((~generous(X)|~funny(X))=>funny(X)))&
(![X]:((quiet(X)|creative(X))=>(~happy(X)|~humble(X))))&
(((~tall(susan)<~>creative(susan)))=>((old(paul)&~wise(paul))))&
(![X]:(~generous(X)<=>(~strong(X)<~>patient(X))))&
(![X]:((rich(X)&~old(X))=>(patient(X)|~generous(X)... | kind(mary) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3881486393238003333293462
% SZS output start Proof for 3881486393238003333293462
9. ! [X0] : ((tall(X0) & ~kind(X0)) <=> (~strong(X0) | ~rich(X0))) [input p8]
10. ! [X0] : (~kind(X0) => (strong(X0) & ~strong(X0))) [input p9]
21. ~kind(mary) [input hypothesis]
31. ! [X0] : ((strong(X0) & ~... | 0 |
If someone is not strong or not calm then someone is either quiet or not quiet and vice versa. Everyone who is both not creative and strong is either not strong or not happy. Everyone who is either not strong or not funny is not wise and vice versa. If alice is either not happy or not brave then alice is both kind and ... | John is wise. | neutral | ((?[X]:((~strong(X)|~calm(X))))<=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~creative(X)&strong(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>~wise(X)))&
(((~happy(alice)<~>~brave(alice)))<=>((kind(alice)&calm(alice))))&
(![X]:((~wise(X)<~>~funny(X))<=>(~funny(X)&wise(X))))&
(((strong(mary)|humble(... | wise(john) | [] | null | 0 |
Everyone who is both not quiet and generous is not happy or creative and vice versa.
Everyone who is calm is quiet and vice versa.
Everyone who is tall is either not happy or funny.
Everyone who is either brave or not patient is patient.
Everyone who is both quiet and humble is not creative or generous.
Everyone who is... | Mary is not happy. | entailment | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:((brave(X)<~>~patient(X))=>patient(X)))&
(![X]:((quiet(X)&humble(X))=>(~creative(X)|generous(X))))&
(![X]:(tall(X)<=>~humble(X)))&
(![X]:(generous(X)<=>(wise(X)<~>happy(X))))&
(![X]:(... | ~happy(mary) | [
"p0",
"p1",
"p2",
"p5",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2774545753700911195231384
% SZS output start Proof for 2774545753700911195231384
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~happy(X0))) [input p0]
2. ! [X0] : (calm(X0) <=> quiet(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~happy(X0) <~> funny(X0))) [input p2]
6. ! [X0] :... | 0 |
If paul is not wise or not quiet then someone is tall. If someone is not old then someone is not kind. If someone is curious then someone is not generous and vice versa. If lucy is not creative or not brave then someone is both not strong and not tall and vice versa. If someone is either not kind or not quiet then fred... | Lucy is not happy. | neutral | (((~wise(paul)|~quiet(paul)))=>(?[X]:(tall(X))))&
((?[X]:(~old(X)))=>(?[X]:(~kind(X))))&
((?[X]:(curious(X)))<=>(?[X]:(~generous(X))))&
(((~creative(lucy)|~brave(lucy)))<=>(?[X]:((~strong(X)&~tall(X)))))&
((?[X]:((~kind(X)<~>~quiet(X))))<=>((kind(fred)<~>~old(fred))))&
(![X]:((happy(X)&~happy(X))=>generous(X)))&
(![X]:... | ~happy(lucy) | [] | null | 0 |
Everyone who is either quiet or not calm is not creative.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Everyone who is patient or not wise is not curious.
If someone is either old or not wise then someone is both not calm and not strong and vice versa.
Everyone who is patient... | Lucy is not calm. | contradiction | (![X]:((quiet(X)<~>~calm(X))=>~creative(X)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((~calm(X)&~strong(X)))))&
(![X]:((patient(X)|strong(X))<=>(kind(X)&happy(X))))&
(![X]:((~calm(X)&rich(X))<=>(quiet(X)&hum... | ~calm(lucy) | [
"p2",
"p4",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2241919464701378929878971
% SZS output start Proof for 2241919464701378929878971
3. ! [X0] : ((~wise(X0) | patient(X0)) => ~curious(X0)) [input p2]
5. ! [X0] : ((strong(X0) | patient(X0)) <=> (happy(X0) & kind(X0))) [input p4]
10. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (brave(X0) | stro... | 0 |
If someone is both not strong and not wise then mary is not happy and vice versa.
If someone is happy then paul is either kind or wise.
If paul is either strong or creative then someone is not funny and vice versa.
If someone is not curious or happy then someone is not wise.
If alice is kind then someone is rich.
If so... | Alice is curious. | contradiction | ((?[X]:((~strong(X)&~wise(X))))<=>(~happy(mary)))&
((?[X]:(happy(X)))=>((kind(paul)<~>wise(paul))))&
(((strong(paul)<~>creative(paul)))<=>(?[X]:(~funny(X))))&
((?[X]:((~curious(X)|happy(X))))=>(?[X]:(~wise(X))))&
((kind(alice))=>(?[X]:(rich(X))))&
((?[X]:(~curious(X)))=>(?[X]:((patient(X)&~old(X)))))&
(![X]:(~curious(X... | curious(alice) | [
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8886414761436056190381970
% SZS output start Proof for 8886414761436056190381970
7. ! [X0] : (~curious(X0) <=> ~kind(X0)) [input p6]
23. ~kind(alice) & old(alice) [input p22]
25. curious(alice) [input hypothesis]
54. ! [X0] : ((~curious(X0) | kind(X0)) & (~kind(X0) | curious(X0))) [nnf tr... | 0 |
If mary is not creative or not strong then fred is not strong. Everyone who is not creative is happy or calm and vice versa. Everyone who is both strong and not curious is tall and vice versa. Everyone who is tall or strong is quiet and vice versa. Everyone who is both not calm and not happy is strong and vice versa. E... | Paul is not generous. | neutral | (((~creative(mary)|~strong(mary)))=>(~strong(fred)))&
(![X]:(~creative(X)<=>(happy(X)|calm(X))))&
(![X]:((strong(X)&~curious(X))<=>tall(X)))&
(![X]:((tall(X)|strong(X))<=>quiet(X)))&
(![X]:((~calm(X)&~happy(X))<=>strong(X)))&
(![X]:((old(X)|~generous(X))<=>(~quiet(X)&~calm(X))))&
(![X]:((~kind(X)|brave(X))<=>(~strong(X... | ~generous(paul) | [] | null | 0 |
Everyone who is either happy or not humble is both not quiet and brave and vice versa. If someone is both calm and humble then someone is creative and vice versa. If someone is quiet then fred is calm or not quiet. Everyone who is not creative is either creative or humble. If fred is funny or generous then someone is n... | Susan is not funny. | contradiction | (![X]:((happy(X)<~>~humble(X))<=>(~quiet(X)&brave(X))))&
((?[X]:((calm(X)&humble(X))))<=>(?[X]:(creative(X))))&
((?[X]:(quiet(X)))=>((calm(fred)|~quiet(fred))))&
(![X]:(~creative(X)=>(creative(X)<~>humble(X))))&
(((funny(fred)|generous(fred)))=>(?[X]:(~curious(X))))&
(((~calm(john)&~tall(john)))<=>((strong(susan)<~>hum... | ~funny(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 61387697782881390951273
% SZS output start Proof for 61387697782881390951273
14. ! [X0] : ((funny(X0) <~> ~brave(X0)) <=> brave(X0)) [input p13]
22. ~funny(susan) [input hypothesis]
68. ! [X0] : ((((brave(X0) | ~funny(X0)) & (~brave(X0) | funny(X0))) | ~brave(X0)) & (brave(X0) | ((funny(X... | 0 |
If someone is not old then lucy is not creative or not calm and vice versa.
If mary is not tall then someone is brave and vice versa.
Everyone who is either wise or not wise is either not tall or rich.
If lucy is not rich or not patient then john is both generous and not creative.
If john is not quiet or not curious th... | Mary is wise. | contradiction | ((?[X]:(~old(X)))<=>((~creative(lucy)|~calm(lucy))))&
((~tall(mary))<=>(?[X]:(brave(X))))&
(![X]:((wise(X)<~>~wise(X))=>(~tall(X)<~>rich(X))))&
(((~rich(lucy)|~patient(lucy)))=>((generous(john)&~creative(john))))&
(((~quiet(john)|~curious(john)))=>(~quiet(mary)))&
(((old(mary)&~wise(mary)))=>(?[X]:((~strong(X)<~>curiou... | wise(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7709204664927470860500513
% SZS output start Proof for 7709204664927470860500513
19. ~wise(mary) [input p18]
25. wise(mary) [input hypothesis]
136. ~wise(mary) [cnf transformation 19]
142. wise(mary) [cnf transformation 25]
221. 16 <=> wise(mary) [avatar definition]
326. ~16 [avatar split... | 0 |
Everyone who is not calm or not creative is either not rich or not generous and vice versa.
Everyone who is generous or not patient is not rich.
If lucy is creative or calm then someone is both happy and not calm.
Everyone who is not quiet or not humble is both not patient and brave.
If someone is either not quiet or n... | John is wise. | contradiction | (![X]:((~calm(X)|~creative(X))<=>(~rich(X)<~>~generous(X))))&
(![X]:((generous(X)|~patient(X))=>~rich(X)))&
(((creative(lucy)|calm(lucy)))=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:((~quiet(X)|~humble(X))=>(~patient(X)&brave(X))))&
((?[X]:((~quiet(X)<~>~creative(X))))<=>(?[X]:((old(X)&calm(X)))))&
(((~wise(alice)|generous(... | wise(john) | [
"p0",
"p1",
"p3",
"p6",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2385521627986613306842801
% SZS output start Proof for 2385521627986613306842801
1. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> (~rich(X0) <~> ~generous(X0))) [input p0]
2. ! [X0] : ((~patient(X0) | generous(X0)) => ~rich(X0)) [input p1]
4. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (brave(X0)... | 0 |
If someone is either tall or quiet then lucy is either not calm or calm.
Everyone who is both quiet and humble is brave or not humble and vice versa.
Everyone who is both happy and not curious is old or humble.
Everyone who is kind or not old is strong or not curious and vice versa.
If someone is not wise then someone ... | Lucy is creative. | entailment | ((?[X]:((tall(X)<~>quiet(X))))=>((~calm(lucy)<~>calm(lucy))))&
(![X]:((quiet(X)&humble(X))<=>(brave(X)|~humble(X))))&
(![X]:((happy(X)&~curious(X))=>(old(X)|humble(X))))&
(![X]:((kind(X)|~old(X))<=>(strong(X)|~curious(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((funny(X)<~>~creative(X)))))&
(![X]:((old(X)&~quiet(X))<=>(~wise(X)... | creative(lucy) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9097079242745299683205377
% SZS output start Proof for 9097079242745299683205377
14. ! [X0] : (quiet(X0) <=> (happy(X0) & old(X0))) [input p13]
15. ! [X0] : ((old(X0) | ~quiet(X0)) <=> (creative(X0) & ~brave(X0))) [input p14]
23. ~creative(lucy) [input hypothesis]
56. ! [X0] : ((quiet(X0)... | 0 |
Everyone who is both curious and strong is either not generous or humble and vice versa.
If susan is not creative then someone is both not old and not brave.
Everyone who is curious or strong is either not quiet or generous.
If someone is not old then someone is curious and vice versa.
If lucy is brave then alice is ei... | Fred is not happy. | entailment | (![X]:((curious(X)&strong(X))<=>(~generous(X)<~>humble(X))))&
((~creative(susan))=>(?[X]:((~old(X)&~brave(X)))))&
(![X]:((curious(X)|strong(X))=>(~quiet(X)<~>generous(X))))&
((?[X]:(~old(X)))<=>(?[X]:(curious(X))))&
((brave(lucy))<=>((brave(alice)<~>funny(alice))))&
(![X]:((~tall(X)|humble(X))<=>(~generous(X)<~>~patien... | ~happy(fred) | [
"p0",
"p2",
"p5",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3293908205975539135744937
% SZS output start Proof for 3293908205975539135744937
1. ! [X0] : ((strong(X0) & curious(X0)) <=> (~generous(X0) <~> humble(X0))) [input p0]
3. ! [X0] : ((strong(X0) | curious(X0)) => (~quiet(X0) <~> generous(X0))) [input p2]
6. ! [X0] : ((humble(X0) | ~tall(X0)... | 0 |
If someone is strong or calm then paul is not tall or tall and vice versa.
If someone is kind or happy then lucy is not rich or kind and vice versa.
If lucy is kind then someone is either rich or not humble and vice versa.
Everyone who is either old or not curious is both not strong and patient.
Everyone who is happy i... | Paul is humble. | contradiction | ((?[X]:((strong(X)|calm(X))))<=>((~tall(paul)|tall(paul))))&
((?[X]:((kind(X)|happy(X))))<=>((~rich(lucy)|kind(lucy))))&
((kind(lucy))<=>(?[X]:((rich(X)<~>~humble(X)))))&
(![X]:((old(X)<~>~curious(X))=>(~strong(X)&patient(X))))&
(![X]:(happy(X)<=>(kind(X)&~old(X))))&
(![X]:((~funny(X)<~>~tall(X))<=>(patient(X)&rich(X))... | humble(paul) | [
"p8",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 843302512555234788197926
% SZS output start Proof for 843302512555234788197926
9. ! [X0] : (creative(X0) <=> (~kind(X0) <~> kind(X0))) [input p8]
15. (~creative(john) | curious(john)) <=> ? [X0] : (curious(X0) | calm(X0)) [input p14]
16. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~curious(X... | 0 |
Everyone who is either old or not old is either humble or kind and vice versa.
Everyone who is not kind is both brave and creative and vice versa.
Everyone who is both strong and not strong is both not kind and not strong and vice versa.
Everyone who is either not funny or not curious is either strong or quiet and vice... | Susan is not calm. | contradiction | (![X]:((old(X)<~>~old(X))<=>(humble(X)<~>kind(X))))&
(![X]:(~kind(X)<=>(brave(X)&creative(X))))&
(![X]:((strong(X)&~strong(X))<=>(~kind(X)&~strong(X))))&
(![X]:((~funny(X)<~>~curious(X))<=>(strong(X)<~>quiet(X))))&
((?[X]:(~old(X)))=>(humble(lucy)))&
((?[X]:(funny(X)))<=>(?[X]:((patient(X)<~>kind(X)))))&
(![X]:((brave(... | ~calm(susan) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3092555933738909705730128
% SZS output start Proof for 3092555933738909705730128
1. ! [X0] : ((old(X0) <~> ~old(X0)) <=> (humble(X0) <~> kind(X0))) [input p0]
2. ! [X0] : (~kind(X0) <=> (creative(X0) & brave(X0))) [input p1]
3. ! [X0] : ((~strong(X0) & strong(X0)) <=> (~strong(X0) & ~kind... | 0 |
Everyone who is not generous or humble is either not brave or not generous. Everyone who is not old or not rich is either not funny or generous. If someone is generous or not funny then someone is not old or not tall and vice versa. If someone is either not humble or not strong then someone is either not happy or calm.... | Paul is brave. | entailment | (![X]:((~generous(X)|humble(X))=>(~brave(X)<~>~generous(X))))&
(![X]:((~old(X)|~rich(X))=>(~funny(X)<~>generous(X))))&
((?[X]:((generous(X)|~funny(X))))<=>(?[X]:((~old(X)|~tall(X)))))&
((?[X]:((~humble(X)<~>~strong(X))))=>(?[X]:((~happy(X)<~>calm(X)))))&
(((~rich(lucy)&rich(lucy)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]... | brave(paul) | [
"p0",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5319298510110372460414223
% SZS output start Proof for 5319298510110372460414223
1. ! [X0] : ((humble(X0) | ~generous(X0)) => (~brave(X0) <~> ~generous(X0))) [input p0]
3. ? [X0] : (~funny(X0) | generous(X0)) <=> ? [X0] : (~tall(X0) | ~old(X0)) [input p2]
5. (rich(lucy) & ~rich(lucy)) <=>... | 0 |
Everyone who is either not quiet or not wise is either calm or not wise.
If someone is not curious then alice is either not kind or generous and vice versa.
If someone is both not old and funny then someone is both not kind and calm.
Everyone who is not humble is both calm and not creative.
Everyone who is either brave... | Alice is not humble. | contradiction | (![X]:((~quiet(X)<~>~wise(X))=>(calm(X)<~>~wise(X))))&
((?[X]:(~curious(X)))<=>((~kind(alice)<~>generous(alice))))&
((?[X]:((~old(X)&funny(X))))=>(?[X]:((~kind(X)&calm(X)))))&
(![X]:(~humble(X)=>(calm(X)&~creative(X))))&
(![X]:((brave(X)<~>humble(X))<=>(~wise(X)|humble(X))))&
(![X]:((calm(X)<~>~creative(X))<=>(strong(X... | ~humble(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1728953925445463807487551
% SZS output start Proof for 1728953925445463807487551
20. humble(alice) & happy(alice) [input p19]
25. ~humble(alice) [input hypothesis]
136. humble(alice) [cnf transformation 20]
142. ~humble(alice) [cnf transformation 25]
218. $false [subsumption resolution 14... | 0 |
If mary is either strong or rich then john is humble.
Everyone who is old is both not wise and patient and vice versa.
Everyone who is not patient or not tall is calm and vice versa.
Everyone who is not quiet or not rich is both not quiet and strong and vice versa.
Everyone who is both not humble and quiet is not happy... | Susan is quiet. | entailment | (((strong(mary)<~>rich(mary)))=>(humble(john)))&
(![X]:(old(X)<=>(~wise(X)&patient(X))))&
(![X]:((~patient(X)|~tall(X))<=>calm(X)))&
(![X]:((~quiet(X)|~rich(X))<=>(~quiet(X)&strong(X))))&
(![X]:((~humble(X)&quiet(X))<=>(~happy(X)|kind(X))))&
(![X]:((~creative(X)|~calm(X))<=>(strong(X)|~brave(X))))&
(![X]:((curious(X)<~... | quiet(susan) | [
"p1",
"p2",
"p3",
"p4",
"p11",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2200176451666467543512661
% SZS output start Proof for 2200176451666467543512661
2. ! [X0] : (old(X0) <=> (patient(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> calm(X0)) [input p2]
4. ! [X0] : ((~rich(X0) | ~quiet(X0)) <=> (strong(X0) & ~quiet(X0))) [input p3]
... | 0 |
If someone is not strong then someone is not quiet.
If paul is not brave or not curious then someone is calm.
If someone is tall then fred is not humble or not happy.
If someone is curious or funny then susan is both not quiet and quiet.
Everyone who is not tall or rich is not happy.
If lucy is either kind or not creat... | Lucy is not quiet. | entailment | ((?[X]:(~strong(X)))=>(?[X]:(~quiet(X))))&
(((~brave(paul)|~curious(paul)))=>(?[X]:(calm(X))))&
((?[X]:(tall(X)))=>((~humble(fred)|~happy(fred))))&
((?[X]:((curious(X)|funny(X))))=>((~quiet(susan)&quiet(susan))))&
(![X]:((~tall(X)|rich(X))=>~happy(X)))&
(((kind(lucy)<~>~creative(lucy)))<=>((~generous(fred)<~>strong(fre... | ~quiet(lucy) | [
"p3",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8298995506270326470323132
% SZS output start Proof for 8298995506270326470323132
4. ? [X0] : (funny(X0) | curious(X0)) => (quiet(susan) & ~quiet(susan)) [input p3]
15. ! [X0] : ((~quiet(X0) <~> ~tall(X0)) <=> (quiet(X0) & curious(X0))) [input p14]
23. ~tall(lucy) <~> funny(lucy) [input p2... | 0 |
If susan is not rich then someone is both kind and patient and vice versa.
Everyone who is not happy or not rich is either not patient or patient.
Everyone who is both not calm and generous is not funny and vice versa.
Everyone who is either calm or not happy is calm and vice versa.
Everyone who is not calm is both not... | Lucy is not funny. | contradiction | ((~rich(susan))<=>(?[X]:((kind(X)&patient(X)))))&
(![X]:((~happy(X)|~rich(X))=>(~patient(X)<~>patient(X))))&
(![X]:((~calm(X)&generous(X))<=>~funny(X)))&
(![X]:((calm(X)<~>~happy(X))<=>calm(X)))&
(![X]:(~calm(X)=>(~calm(X)&~generous(X))))&
(((~humble(fred)&~kind(fred)))<=>(?[X]:((rich(X)&patient(X)))))&
(![X]:((~tall(X... | ~funny(lucy) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 153979694732504202422445
% SZS output start Proof for 153979694732504202422445
3. ! [X0] : ((generous(X0) & ~calm(X0)) <=> ~funny(X0)) [input p2]
5. ! [X0] : (~calm(X0) => (~generous(X0) & ~calm(X0))) [input p4]
25. ~funny(lucy) [input hypothesis]
28. ! [X0] : ((~generous(X0) & ~calm(X0))... | 0 |
Everyone who is both not rich and not funny is either old or rich and vice versa.
Everyone who is either happy or not old is either brave or not happy.
If lucy is both not funny and kind then someone is either patient or wise.
If john is either not tall or not quiet then someone is not funny or curious and vice versa.
... | Lucy is not patient. | entailment | (![X]:((~rich(X)&~funny(X))<=>(old(X)<~>rich(X))))&
(![X]:((happy(X)<~>~old(X))=>(brave(X)<~>~happy(X))))&
(((~funny(lucy)&kind(lucy)))=>(?[X]:((patient(X)<~>wise(X)))))&
(((~tall(john)<~>~quiet(john)))<=>(?[X]:((~funny(X)|curious(X)))))&
(![X]:(~brave(X)=>patient(X)))&
(![X]:((~kind(X)<~>generous(X))=>(~happy(X)<~>wis... | ~patient(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3297724433812979432908767
% SZS output start Proof for 3297724433812979432908767
7. ! [X0] : ((~patient(X0) & curious(X0)) <=> (patient(X0) | generous(X0))) [input p6]
23. patient(lucy) [input hypothesis]
51. ! [X0] : (((~patient(X0) & curious(X0)) | (~patient(X0) & ~generous(X0))) & ((pa... | 0 |
Everyone who is either creative or wise is not funny or tall and vice versa.
Everyone who is not calm or not kind is humble or not old and vice versa.
If someone is humble then alice is creative or not wise.
If someone is both funny and not calm then lucy is either wise or patient and vice versa.
Everyone who is either... | John is old. | contradiction | (![X]:((creative(X)<~>wise(X))<=>(~funny(X)|tall(X))))&
(![X]:((~calm(X)|~kind(X))<=>(humble(X)|~old(X))))&
((?[X]:(humble(X)))=>((creative(alice)|~wise(alice))))&
((?[X]:((funny(X)&~calm(X))))<=>((wise(lucy)<~>patient(lucy))))&
(![X]:((creative(X)<~>~calm(X))<=>(creative(X)<~>~funny(X))))&
((?[X]:((~tall(X)|~creative(... | old(john) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6379850981398954687944743
% SZS output start Proof for 6379850981398954687944743
1. ! [X0] : ((creative(X0) <~> wise(X0)) <=> (tall(X0) | ~funny(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | ~calm(X0)) <=> (~old(X0) | humble(X0))) [input p1]
5. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> (cre... | 0 |
Everyone who is either humble or strong is either not kind or old.
Everyone who is not happy is not old and vice versa.
Everyone who is rich is both old and patient and vice versa.
Everyone who is not patient or patient is not calm or not rich and vice versa.
If lucy is either not wise or quiet then someone is both gen... | John is wise. | entailment | (![X]:((humble(X)<~>strong(X))=>(~kind(X)<~>old(X))))&
(![X]:(~happy(X)<=>~old(X)))&
(![X]:(rich(X)<=>(old(X)&patient(X))))&
(![X]:((~patient(X)|patient(X))<=>(~calm(X)|~rich(X))))&
(((~wise(lucy)<~>quiet(lucy)))=>(?[X]:((generous(X)&curious(X)))))&
(((funny(mary)&~funny(mary)))<=>(funny(lucy)))&
(![X]:(funny(X)=>(~bra... | wise(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2163261846951619180343376
% SZS output start Proof for 2163261846951619180343376
12. ! [X0] : (calm(X0) <=> (wise(X0) | ~calm(X0))) [input p11]
24. ~wise(john) [input hypothesis]
57. ! [X0] : ((calm(X0) | (~wise(X0) & calm(X0))) & ((wise(X0) | ~calm(X0)) | ~calm(X0))) [nnf transformation ... | 0 |
Everyone who is either curious or happy is not old or wise.
If paul is tall then someone is either not generous or not curious.
Everyone who is curious is both not old and not curious.
If someone is both not funny and not happy then susan is not happy or kind and vice versa.
Everyone who is not brave is either not stro... | Susan is not humble. | entailment | (![X]:((curious(X)<~>happy(X))=>(~old(X)|wise(X))))&
((tall(paul))=>(?[X]:((~generous(X)<~>~curious(X)))))&
(![X]:(curious(X)=>(~old(X)&~curious(X))))&
((?[X]:((~funny(X)&~happy(X))))<=>((~happy(susan)|kind(susan))))&
(![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)... | ~humble(susan) | [
"p2",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5992399839866691201604030
% SZS output start Proof for 5992399839866691201604030
3. ! [X0] : (curious(X0) => (~curious(X0) & ~old(X0))) [input p2]
10. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p9]
12. ! [X0] : ((~kind(X0) & patient(X0)) <=> (~generous(X0) | kind(X0))... | 0 |
If someone is not strong then susan is not strong or happy.
Everyone who is both not humble and not kind is not curious or humble and vice versa.
Everyone who is both not rich and not strong is both humble and not rich.
If fred is both not strong and not brave then lucy is either not wise or happy and vice versa.
If so... | John is happy. | entailment | ((?[X]:(~strong(X)))=>((~strong(susan)|happy(susan))))&
(![X]:((~humble(X)&~kind(X))<=>(~curious(X)|humble(X))))&
(![X]:((~rich(X)&~strong(X))=>(humble(X)&~rich(X))))&
(((~strong(fred)&~brave(fred)))<=>((~wise(lucy)<~>happy(lucy))))&
((?[X]:(strong(X)))<=>(?[X]:(~tall(X))))&
(![X]:((humble(X)<~>wise(X))=>(patient(X)&ge... | happy(john) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6545671389213573691540872
% SZS output start Proof for 6545671389213573691540872
2. ! [X0] : ((~kind(X0) & ~humble(X0)) <=> (humble(X0) | ~curious(X0))) [input p1]
10. ! [X0] : ((~quiet(X0) | ~happy(X0)) <=> (~kind(X0) & curious(X0))) [input p9]
23. ~happy(john) [input hypothesis]
35. ! [... | 0 |
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 generous is either not happy or not funny and vice versa.... | Lucy is curious. | entailment | (![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(paul))))&
(![X]:((~rich(X)<~>generous(X))=>(happy(X)|~o... | curious(lucy) | [
"p1",
"p3",
"p6",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4457541952324563365616163
% SZS output start Proof for 4457541952324563365616163
2. ! [X0] : (~curious(X0) <=> (generous(X0) & ~happy(X0))) [input p1]
4. ! [X0] : ((happy(X0) <~> ~generous(X0)) <=> (~happy(X0) <~> ~funny(X0))) [input p3]
7. ! [X0] : ((~brave(X0) & tall(X0)) <=> generous(X... | 0 |
Everyone who is not curious is both not rich and happy. Everyone who is not curious is generous and vice versa. If someone is both not humble and not curious then alice is rich or not calm. Everyone who is both not generous and brave is both not rich and happy and vice versa. If someone is both not brave and wise then ... | Alice is curious. | entailment | (![X]:(~curious(X)=>(~rich(X)&happy(X))))&
(![X]:(~curious(X)<=>generous(X)))&
((?[X]:((~humble(X)&~curious(X))))=>((rich(alice)|~calm(alice))))&
(![X]:((~generous(X)&brave(X))<=>(~rich(X)&happy(X))))&
((?[X]:((~brave(X)&wise(X))))=>(?[X]:(humble(X))))&
(![X]:(~quiet(X)=>humble(X)))&
(![X]:((~curious(X)&~humble(X))=>(~... | curious(alice) | [
"p0",
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1555746498461787181477525
% SZS output start Proof for 1555746498461787181477525
1. ! [X0] : (~curious(X0) => (happy(X0) & ~rich(X0))) [input p0]
2. ! [X0] : (~curious(X0) <=> generous(X0)) [input p1]
4. ! [X0] : ((brave(X0) & ~generous(X0)) <=> (happy(X0) & ~rich(X0))) [input p3]
23. ~cu... | 0 |
If mary is both not happy and rich then someone is either not quiet or kind and vice versa.
Everyone who is calm or humble is not strong or patient.
Everyone who is either patient or not humble is not patient or not quiet.
Everyone who is either not curious or not brave is rich or not tall and vice versa.
If mary is bo... | Mary is kind. | entailment | (((~happy(mary)&rich(mary)))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(![X]:((calm(X)|humble(X))=>(~strong(X)|patient(X))))&
(![X]:((patient(X)<~>~humble(X))=>(~patient(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(rich(X)|~tall(X))))&
(((~creative(mary)&~humble(mary)))=>(?[X]:(rich(X))))&
(![X]:((kind(X)&quiet(X))<=>... | kind(mary) | [
"p0",
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4496915129681725457144187
% SZS output start Proof for 4496915129681725457144187
1. (rich(mary) & ~happy(mary)) <=> ? [X0] : (~quiet(X0) <~> kind(X0)) [input p0]
6. ! [X0] : ((quiet(X0) & kind(X0)) <=> (rich(X0) | tall(X0))) [input p5]
12. ! [X0] : ((generous(X0) & ~wise(X0)) <=> (quiet(X... | 0 |
If someone is both creative and strong then alice is not old or wise and vice versa.
If someone is both kind and calm then lucy is not rich or not wise and vice versa.
If someone is both rich and not curious then someone is not funny or not generous and vice versa.
If alice is both not creative and not kind then someon... | Paul is happy. | contradiction | ((?[X]:((creative(X)&strong(X))))<=>((~old(alice)|wise(alice))))&
((?[X]:((kind(X)&calm(X))))<=>((~rich(lucy)|~wise(lucy))))&
((?[X]:((rich(X)&~curious(X))))<=>(?[X]:((~funny(X)|~generous(X)))))&
(((~creative(alice)&~kind(alice)))<=>(?[X]:(happy(X))))&
((?[X]:((~wise(X)|~curious(X))))=>(?[X]:((~creative(X)&kind(X)))))&... | happy(paul) | [
"p2",
"p5",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6017610380066206941729199
% SZS output start Proof for 6017610380066206941729199
3. ? [X0] : (~curious(X0) & rich(X0)) <=> ? [X0] : (~generous(X0) | ~funny(X0)) [input p2]
6. ? [X0] : (rich(X0) | ~curious(X0)) <=> humble(paul) [input p5]
10. ! [X0] : (generous(X0) => ~happy(X0)) [input p9... | 0 |
Everyone who is not calm or patient is generous and vice versa.
Everyone who is wise or not old is both not happy and wise and vice versa.
If fred is not calm or not old then susan is either rich or quiet.
If susan is generous or not generous then someone is either strong or not creative.
Everyone who is not brave or b... | Susan is not wise. | neutral | (![X]:((~calm(X)|patient(X))<=>generous(X)))&
(![X]:((wise(X)|~old(X))<=>(~happy(X)&wise(X))))&
(((~calm(fred)|~old(fred)))=>((rich(susan)<~>quiet(susan))))&
(((generous(susan)|~generous(susan)))=>(?[X]:((strong(X)<~>~creative(X)))))&
(![X]:((~brave(X)|brave(X))=>(~strong(X)&~humble(X))))&
((?[X]:((~brave(X)<~>generous... | ~wise(susan) | [] | null | 0 |
Everyone who is not curious or kind is both not tall and not quiet and vice versa. If someone is curious then someone is both kind and curious. If paul is not funny or not creative then someone is either not strong or not calm and vice versa. If someone is both not strong and creative then someone is not brave or not c... | Susan is not quiet. | contradiction | (![X]:((~curious(X)|kind(X))<=>(~tall(X)&~quiet(X))))&
((?[X]:(curious(X)))=>(?[X]:((kind(X)&curious(X)))))&
(((~funny(paul)|~creative(paul)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
((?[X]:((~strong(X)&creative(X))))<=>(?[X]:((~brave(X)|~creative(X)))))&
(![X]:((kind(X)&~humble(X))<=>(~funny(X)<~>generous(X))))&
(((rich(... | ~quiet(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6428578291001150902213776
% SZS output start Proof for 6428578291001150902213776
16. quiet(susan) & ~tall(susan) [input p15]
21. ~quiet(susan) [input hypothesis]
133. quiet(susan) [cnf transformation 16]
140. ~quiet(susan) [cnf transformation 21]
237. 21 <=> quiet(susan) [avatar definitio... | 0 |
Everyone who is calm or curious is tall or not generous.
If someone is both old and not calm then fred is calm.
Everyone who is not quiet is patient and vice versa.
If john is kind then someone is brave or curious and vice versa.
Everyone who is not generous or creative is rich or funny and vice versa.
Everyone who is ... | Fred is not brave. | entailment | (![X]:((calm(X)|curious(X))=>(tall(X)|~generous(X))))&
((?[X]:((old(X)&~calm(X))))=>(calm(fred)))&
(![X]:(~quiet(X)<=>patient(X)))&
((kind(john))<=>(?[X]:((brave(X)|curious(X)))))&
(![X]:((~generous(X)|creative(X))<=>(rich(X)|funny(X))))&
(![X]:(rich(X)=>(calm(X)&~kind(X))))&
(![X]:(rich(X)<=>(~funny(X)|~creative(X))))... | ~brave(fred) | [
"p3",
"p5",
"p6",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7661575420776824272954410
% SZS output start Proof for 7661575420776824272954410
4. kind(john) <=> ? [X0] : (curious(X0) | brave(X0)) [input p3]
6. ! [X0] : (rich(X0) => (~kind(X0) & calm(X0))) [input p5]
7. ! [X0] : (rich(X0) <=> (~creative(X0) | ~funny(X0))) [input p6]
10. ! [X0] : (~ta... | 0 |
Everyone who is happy or not brave is strong or rich.
If someone is old or not humble then alice is both kind and not kind.
If alice is both calm and old then someone is both happy and old.
Everyone who is humble is not generous.
Everyone who is not strong or quiet is old.
If john is wise or curious then fred is not cr... | Mary is not creative. | entailment | (![X]:((happy(X)|~brave(X))=>(strong(X)|rich(X))))&
((?[X]:((old(X)|~humble(X))))=>((kind(alice)&~kind(alice))))&
(((calm(alice)&old(alice)))=>(?[X]:((happy(X)&old(X)))))&
(![X]:(humble(X)=>~generous(X)))&
(![X]:((~strong(X)|quiet(X))=>old(X)))&
(((wise(john)|curious(john)))=>((~creative(fred)|curious(fred))))&
(((calm... | ~creative(mary) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6046856107246957477583921
% SZS output start Proof for 6046856107246957477583921
2. ? [X0] : (~humble(X0) | old(X0)) => (~kind(alice) & kind(alice)) [input p1]
13. ? [X0] : (humble(X0) | brave(X0)) => ~creative(mary) [input p12]
23. creative(mary) [input hypothesis]
29. (~kind(alice) & ki... | 0 |
If paul is not humble or not rich then someone is not humble or not happy and vice versa.
If someone is not creative or not wise then lucy is brave and vice versa.
If someone is either not brave or rich then fred is humble.
If paul is both tall and not patient then someone is both rich and not patient.
If lucy is both ... | Fred is old. | neutral | (((~humble(paul)|~rich(paul)))<=>(?[X]:((~humble(X)|~happy(X)))))&
((?[X]:((~creative(X)|~wise(X))))<=>(brave(lucy)))&
((?[X]:((~brave(X)<~>rich(X))))=>(humble(fred)))&
(((tall(paul)&~patient(paul)))=>(?[X]:((rich(X)&~patient(X)))))&
(((~patient(lucy)&tall(lucy)))<=>((~strong(john)&~old(john))))&
(![X]:((happy(X)|quiet... | old(fred) | [] | null | 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 not kind. | 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))))&... | ~kind(john) | [] | null | 0 |
Everyone who is both not rich and funny is either old or patient and vice versa.
Everyone who is humble is both wise and kind and vice versa.
If fred is either not patient or not generous then someone is not happy or kind.
Everyone who is not quiet or funny is both strong and not funny and vice versa.
Everyone who is e... | Alice is happy. | neutral | (![X]:((~rich(X)&funny(X))<=>(old(X)<~>patient(X))))&
(![X]:(humble(X)<=>(wise(X)&kind(X))))&
(((~patient(fred)<~>~generous(fred)))=>(?[X]:((~happy(X)|kind(X)))))&
(![X]:((~quiet(X)|funny(X))<=>(strong(X)&~funny(X))))&
(![X]:((~quiet(X)<~>funny(X))=>(~wise(X)&~curious(X))))&
((?[X]:(~tall(X)))<=>(~tall(alice)))&
(![X]:... | happy(alice) | [] | null | 0 |
Everyone who is generous is not humble and vice versa. Everyone who is not brave is old. If fred is either creative or not wise then someone is not kind and vice versa. Everyone who is both brave and wise is both rich and tall. If someone is both not kind and tall then fred is old or curious. If lucy is not tall then s... | Alice is quiet. | entailment | (![X]:(generous(X)<=>~humble(X)))&
(![X]:(~brave(X)=>old(X)))&
(((creative(fred)<~>~wise(fred)))<=>(?[X]:(~kind(X))))&
(![X]:((brave(X)&wise(X))=>(rich(X)&tall(X))))&
((?[X]:((~kind(X)&tall(X))))=>((old(fred)|curious(fred))))&
((~tall(lucy))<=>(?[X]:((~humble(X)<~>kind(X)))))&
(![X]:((~strong(X)<~>~tall(X))<=>~quiet(X)... | quiet(alice) | [
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3827245268892515921251680
% SZS output start Proof for 3827245268892515921251680
7. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> ~quiet(X0)) [input p6]
9. ! [X0] : ((~old(X0) | ~tall(X0)) <=> (~brave(X0) | ~strong(X0))) [input p8]
13. ! [X0] : ((strong(X0) | ~old(X0)) => (old(X0) & quiet(X0)... | 0 |
If john is not patient or funny then someone is either not tall or not funny and vice versa.
If someone is tall then someone is quiet.
If lucy is either not creative or not wise then someone is either rich or not humble.
If lucy is humble then fred is curious.
If someone is either patient or strong then someone is both... | Mary is not happy. | entailment | (((~patient(john)|funny(john)))<=>(?[X]:((~tall(X)<~>~funny(X)))))&
((?[X]:(tall(X)))=>(?[X]:(quiet(X))))&
(((~creative(lucy)<~>~wise(lucy)))=>(?[X]:((rich(X)<~>~humble(X)))))&
((humble(lucy))=>(curious(fred)))&
((?[X]:((patient(X)<~>strong(X))))=>(?[X]:((~strong(X)&calm(X)))))&
((?[X]:((strong(X)<~>calm(X))))=>(?[X]:(... | ~happy(mary) | [
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8746306865115823362888842
% SZS output start Proof for 8746306865115823362888842
8. ! [X0] : (generous(X0) => (~generous(X0) | ~happy(X0))) [input p7]
23. generous(mary) & creative(mary) [input p22]
24. happy(mary) [input hypothesis]
37. ! [X0] : ((~generous(X0) | ~happy(X0)) | ~generous(... | 0 |
Everyone who is not patient is either curious or tall and vice versa.
Everyone who is either not rich or not creative is either patient or not generous.
If fred is either not creative or creative then paul is both happy and strong and vice versa.
If john is rich or quiet then someone is both not strong and brave.
Every... | Susan is not curious. | neutral | (![X]:(~patient(X)<=>(curious(X)<~>tall(X))))&
(![X]:((~rich(X)<~>~creative(X))=>(patient(X)<~>~generous(X))))&
(((~creative(fred)<~>creative(fred)))<=>((happy(paul)&strong(paul))))&
(((rich(john)|quiet(john)))=>(?[X]:((~strong(X)&brave(X)))))&
(![X]:(~creative(X)=>(~calm(X)|~generous(X))))&
(![X]:(~kind(X)=>(rich(X)<~... | ~curious(susan) | [] | null | 0 |
Everyone who is both not happy and not strong is kind or tall.
Everyone who is both not tall and kind is either not rich or happy and vice versa.
Everyone who is both tall and rich is both not rich and quiet and vice versa.
If paul is generous then someone is not strong or tall and vice versa.
Everyone who is not gener... | Lucy is not brave. | contradiction | (![X]:((~happy(X)&~strong(X))=>(kind(X)|tall(X))))&
(![X]:((~tall(X)&kind(X))<=>(~rich(X)<~>happy(X))))&
(![X]:((tall(X)&rich(X))<=>(~rich(X)&quiet(X))))&
((generous(paul))<=>(?[X]:((~strong(X)|tall(X)))))&
(![X]:(~generous(X)<=>~calm(X)))&
((strong(alice))=>((~happy(mary)|~tall(mary))))&
(![X]:((~funny(X)|calm(X))=>(~... | ~brave(lucy) | [
"p1",
"p2",
"p3",
"p7",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6772651774843263674150121
% SZS output start Proof for 6772651774843263674150121
2. ! [X0] : ((kind(X0) & ~tall(X0)) <=> (~rich(X0) <~> happy(X0))) [input p1]
3. ! [X0] : ((rich(X0) & tall(X0)) <=> (quiet(X0) & ~rich(X0))) [input p2]
4. generous(paul) <=> ? [X0] : (tall(X0) | ~strong(X0))... | 0 |
If paul is not strong or not generous then fred is not patient and vice versa.
Everyone who is both not curious and humble is old or not rich and vice versa.
Everyone who is happy is not humble and vice versa.
Everyone who is generous or not creative is either not rich or calm.
If someone is either tall or not calm the... | Alice is curious. | contradiction | (((~strong(paul)|~generous(paul)))<=>(~patient(fred)))&
(![X]:((~curious(X)&humble(X))<=>(old(X)|~rich(X))))&
(![X]:(happy(X)<=>~humble(X)))&
(![X]:((generous(X)|~creative(X))=>(~rich(X)<~>calm(X))))&
((?[X]:((tall(X)<~>~calm(X))))=>(?[X]:((~generous(X)|~tall(X)))))&
(![X]:((creative(X)|~humble(X))=>(~funny(X)<~>old(X)... | curious(alice) | [
"p1",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5796348255572510042341286
% SZS output start Proof for 5796348255572510042341286
2. ! [X0] : ((humble(X0) & ~curious(X0)) <=> (~rich(X0) | old(X0))) [input p1]
8. ! [X0] : (calm(X0) => ~curious(X0)) [input p7]
10. ? [X0] : (~calm(X0) | ~old(X0)) <=> (old(john) & ~creative(john)) [input p9... | 0 |
Everyone who is either not kind or not creative is kind or patient.
Everyone who is either not patient or not happy is not kind or not humble.
If alice is either not kind or not tall then paul is curious or not humble.
If lucy is not creative then someone is both old and not strong.
Everyone who is both strong and calm... | Lucy is quiet. | neutral | (![X]:((~kind(X)<~>~creative(X))=>(kind(X)|patient(X))))&
(![X]:((~patient(X)<~>~happy(X))=>(~kind(X)|~humble(X))))&
(((~kind(alice)<~>~tall(alice)))=>((curious(paul)|~humble(paul))))&
((~creative(lucy))=>(?[X]:((old(X)&~strong(X)))))&
(![X]:((strong(X)&calm(X))<=>(~tall(X)<~>~old(X))))&
((?[X]:(~creative(X)))<=>(?[X]:... | quiet(lucy) | [] | null | 0 |
If someone is funny then someone is not curious or wise. Everyone who is both kind and calm is brave or strong and vice versa. Everyone who is either curious or happy is both calm and brave and vice versa. Everyone who is both kind and generous is kind and vice versa. Everyone who is not strong or creative is happy and... | Alice is not humble. | contradiction | ((?[X]:(funny(X)))=>(?[X]:((~curious(X)|wise(X)))))&
(![X]:((kind(X)&calm(X))<=>(brave(X)|strong(X))))&
(![X]:((curious(X)<~>happy(X))<=>(calm(X)&brave(X))))&
(![X]:((kind(X)&generous(X))<=>kind(X)))&
(![X]:((~strong(X)|creative(X))<=>happy(X)))&
(((~curious(alice)&tall(alice)))=>((~brave(john)&~quiet(john))))&
((rich(... | ~humble(alice) | [
"p1",
"p7",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2281224704216430014171549
% SZS output start Proof for 2281224704216430014171549
2. ! [X0] : ((calm(X0) & kind(X0)) <=> (strong(X0) | brave(X0))) [input p1]
8. ? [X0] : (rich(X0) & kind(X0)) <=> (brave(susan) <~> ~curious(susan)) [input p7]
9. ! [X0] : ((calm(X0) | ~strong(X0)) => (~rich(... | 0 |
If someone is both not brave and funny then someone is brave and vice versa. Everyone who is not curious or tall is not quiet or not calm. Everyone who is not patient is not curious or not kind. Everyone who is not old or not brave is happy and vice versa. If fred is both not tall and not brave then mary is both happy ... | Lucy is happy. | entailment | ((?[X]:((~brave(X)&funny(X))))<=>(?[X]:(brave(X))))&
(![X]:((~curious(X)|tall(X))=>(~quiet(X)|~calm(X))))&
(![X]:(~patient(X)=>(~curious(X)|~kind(X))))&
(![X]:((~old(X)|~brave(X))<=>happy(X)))&
(((~tall(fred)&~brave(fred)))=>((happy(mary)&~funny(mary))))&
((?[X]:((happy(X)&kind(X))))=>(?[X]:((~wise(X)<~>rich(X)))))&
(!... | happy(lucy) | [
"p3",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2673771890235071156523363
% SZS output start Proof for 2673771890235071156523363
4. ! [X0] : ((~brave(X0) | ~old(X0)) <=> happy(X0)) [input p3]
12. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> brave(X0)) [input p11]
21. old(lucy) <~> ~tall(lucy) [input p20]
25. ~happy(lucy) [input hypothesis]... | 0 |
If susan is either humble or not quiet then someone is patient or wise.
Everyone who is either not humble or not tall is not funny.
Everyone who is both not rich and not old is either not kind or not patient and vice versa.
Everyone who is old or patient is not calm or not kind and vice versa.
Everyone who is funny is ... | Susan is not happy. | neutral | (((humble(susan)<~>~quiet(susan)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:((~humble(X)<~>~tall(X))=>~funny(X)))&
(![X]:((~rich(X)&~old(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((old(X)|patient(X))<=>(~calm(X)|~kind(X))))&
(![X]:(funny(X)<=>(~calm(X)|old(X))))&
(![X]:(calm(X)=>(~happy(X)&~quiet(X))))&
(((~calm(alice)<~>c... | ~happy(susan) | [] | null | 0 |
Everyone who is tall is not calm.
Everyone who is calm is either calm or humble and vice versa.
If someone is not quiet then fred is wise or not calm and vice versa.
If someone is both kind and not rich then someone is either not funny or not rich.
If fred is both calm and wise then someone is not creative or not quiet... | Alice is not curious. | neutral | (![X]:(tall(X)=>~calm(X)))&
(![X]:(calm(X)<=>(calm(X)<~>humble(X))))&
((?[X]:(~quiet(X)))<=>((wise(fred)|~calm(fred))))&
((?[X]:((kind(X)&~rich(X))))=>(?[X]:((~funny(X)<~>~rich(X)))))&
(((calm(fred)&wise(fred)))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:((brave(X)|~wise(X))<=>curious(X)))&
(![X]:((rich(X)<~>~kind(X))=... | ~curious(alice) | [] | null | 0 |
If someone is calm or not curious then mary is either wise or funny.
Everyone who is both not calm and calm is both not strong and quiet and vice versa.
If someone is not humble or happy then someone is either brave or wise and vice versa.
Everyone who is either funny or not happy is not kind.
Everyone who is not funny... | Fred is kind. | entailment | ((?[X]:((calm(X)|~curious(X))))=>((wise(mary)<~>funny(mary))))&
(![X]:((~calm(X)&calm(X))<=>(~strong(X)&quiet(X))))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((brave(X)<~>wise(X)))))&
(![X]:((funny(X)<~>~happy(X))=>~kind(X)))&
(![X]:((~funny(X)|brave(X))<=>(strong(X)<~>~brave(X))))&
(![X]:((~creative(X)|wise(X))<=>(funn... | kind(fred) | [
"p1",
"p4",
"p7",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6256644839006290019938390
% SZS output start Proof for 6256644839006290019938390
2. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (quiet(X0) & ~strong(X0))) [input p1]
5. ! [X0] : ((brave(X0) | ~funny(X0)) <=> (strong(X0) <~> ~brave(X0))) [input p4]
8. ! [X0] : ((funny(X0) | old(X0)) => (~brave(X0... | 0 |
If someone is not brave or curious then someone is either not funny or rich.
Everyone who is rich is not patient.
Everyone who is either tall or creative is both not curious and old and vice versa.
If mary is either not humble or tall then someone is wise or not kind.
Everyone who is either kind or rich is patient or n... | John is calm. | entailment | ((?[X]:((~brave(X)|curious(X))))=>(?[X]:((~funny(X)<~>rich(X)))))&
(![X]:(rich(X)=>~patient(X)))&
(![X]:((tall(X)<~>creative(X))<=>(~curious(X)&old(X))))&
(((~humble(mary)<~>tall(mary)))=>(?[X]:((wise(X)|~kind(X)))))&
(![X]:((kind(X)<~>rich(X))=>(patient(X)|~rich(X))))&
((?[X]:((~curious(X)|~patient(X))))<=>((tall(mary... | calm(john) | [
"p1",
"p4",
"p6",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5218772939783607493119382
% SZS output start Proof for 5218772939783607493119382
2. ! [X0] : (rich(X0) => ~patient(X0)) [input p1]
5. ! [X0] : ((kind(X0) <~> rich(X0)) => (~rich(X0) | patient(X0))) [input p4]
7. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> quiet(X0)) [input p6]
13. ? [X0] : (~ri... | 0 |
Everyone who is creative is both strong and tall.
If someone is tall then someone is either quiet or brave.
Everyone who is both calm and not curious is not funny or not happy and vice versa.
Everyone who is either not funny or wise is not quiet or wise and vice versa.
If mary is humble or not kind then susan is tall a... | Susan is not creative. | neutral | (![X]:(creative(X)=>(strong(X)&tall(X))))&
((?[X]:(tall(X)))=>(?[X]:((quiet(X)<~>brave(X)))))&
(![X]:((calm(X)&~curious(X))<=>(~funny(X)|~happy(X))))&
(![X]:((~funny(X)<~>wise(X))<=>(~quiet(X)|wise(X))))&
(((humble(mary)|~kind(mary)))<=>(tall(susan)))&
(![X]:((~curious(X)|calm(X))<=>(~rich(X)&brave(X))))&
(![X]:((funny... | ~creative(susan) | [] | null | 0 |
Everyone who is not brave is not wise or generous and vice versa. Everyone who is curious is either not patient or tall. Everyone who is not strong is either rich or not old and vice versa. If john is both not curious and not humble then someone is not humble and vice versa. Everyone who is not patient or not creative ... | Fred is patient. | neutral | (![X]:(~brave(X)<=>(~wise(X)|generous(X))))&
(![X]:(curious(X)=>(~patient(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>~old(X))))&
(((~curious(john)&~humble(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|~creative(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:(patient(X)))<=>(?[X]:((~happy(X)<~>~calm(X)))))&
(![X]:((~c... | patient(fred) | [] | null | 0 |
Everyone who is either not calm or quiet is either not tall or not kind.
Everyone who is both not humble and rich is both wise and not tall and vice versa.
If someone is tall or not curious then fred is both not wise and kind and vice versa.
Everyone who is kind is either quiet or humble and vice versa.
If john is eith... | John is not old. | neutral | (![X]:((~calm(X)<~>quiet(X))=>(~tall(X)<~>~kind(X))))&
(![X]:((~humble(X)&rich(X))<=>(wise(X)&~tall(X))))&
((?[X]:((tall(X)|~curious(X))))<=>((~wise(fred)&kind(fred))))&
(![X]:(kind(X)<=>(quiet(X)<~>humble(X))))&
(((humble(john)<~>quiet(john)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X... | ~old(john) | [] | null | 0 |
Everyone who is not humble is funny and vice versa.
If mary is brave or rich then someone is both old and curious.
Everyone who is both not kind and not rich is quiet or curious and vice versa.
Everyone who is brave is funny or not generous and vice versa.
Everyone who is either old or not creative is not rich and vice... | Fred is not calm. | contradiction | (![X]:(~humble(X)<=>funny(X)))&
(((brave(mary)|rich(mary)))=>(?[X]:((old(X)&curious(X)))))&
(![X]:((~kind(X)&~rich(X))<=>(quiet(X)|curious(X))))&
(![X]:(brave(X)<=>(funny(X)|~generous(X))))&
(![X]:((old(X)<~>~creative(X))<=>~rich(X)))&
(![X]:(~creative(X)<=>~brave(X)))&
(![X]:((~humble(X)&~quiet(X))=>(~brave(X)<~>creat... | ~calm(fred) | [
"p1",
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1375743112358653222103491
% SZS output start Proof for 1375743112358653222103491
2. (rich(mary) | brave(mary)) => ? [X0] : (curious(X0) & old(X0)) [input p1]
3. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> (curious(X0) | quiet(X0))) [input p2]
12. ? [X0] : (~wise(X0) | ~rich(X0)) <=> (curious(fr... | 0 |
Everyone who is both brave and not brave is both not kind and kind.
If someone is either calm or tall then someone is funny and vice versa.
Everyone who is not calm or quiet is both not wise and not generous.
If susan is not calm then someone is both not humble and not rich.
Everyone who is both not patient and not hum... | Susan is not generous. | entailment | (![X]:((brave(X)&~brave(X))=>(~kind(X)&kind(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|quiet(X))=>(~wise(X)&~generous(X))))&
((~calm(susan))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((~patient(X)&~humble(X))=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)))... | ~generous(susan) | [
"p2",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 881422894821036006638291
% SZS output start Proof for 881422894821036006638291
3. ! [X0] : ((quiet(X0) | ~calm(X0)) => (~generous(X0) & ~wise(X0))) [input p2]
11. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> (funny(X0) | curious(X0))) [input p10]
12. ! [X0] : ((~calm(X0) | ~curious(X0)) <=... | 0 |
Everyone who is happy or tall is both funny and not brave and vice versa.
If someone is both not curious and patient then someone is not rich and vice versa.
If alice is curious or not quiet then paul is both not wise and humble.
Everyone who is both creative and funny is both not creative and not curious.
If someone i... | Mary is wise. | contradiction | (![X]:((happy(X)|tall(X))<=>(funny(X)&~brave(X))))&
((?[X]:((~curious(X)&patient(X))))<=>(?[X]:(~rich(X))))&
(((curious(alice)|~quiet(alice)))=>((~wise(paul)&humble(paul))))&
(![X]:((creative(X)&funny(X))=>(~creative(X)&~curious(X))))&
((?[X]:((curious(X)|~wise(X))))<=>(?[X]:((~rich(X)|patient(X)))))&
(((wise(john)|~ge... | wise(mary) | [
"p3",
"p4",
"p6",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5488952745863162867546366
% SZS output start Proof for 5488952745863162867546366
4. ! [X0] : ((funny(X0) & creative(X0)) => (~curious(X0) & ~creative(X0))) [input p3]
5. ? [X0] : (~wise(X0) | curious(X0)) <=> ? [X0] : (patient(X0) | ~rich(X0)) [input p4]
7. ! [X0] : ((~rich(X0) & generous... | 0 |
Everyone who is both not creative and not old is not quiet or humble and vice versa.
Everyone who is not strong or wise is not brave.
If lucy is not humble or not old then mary is both brave and kind and vice versa.
Everyone who is either not calm or calm is both not creative and not old and vice versa.
If someone is b... | Mary is not calm. | contradiction | (![X]:((~creative(X)&~old(X))<=>(~quiet(X)|humble(X))))&
(![X]:((~strong(X)|wise(X))=>~brave(X)))&
(((~humble(lucy)|~old(lucy)))<=>((brave(mary)&kind(mary))))&
(![X]:((~calm(X)<~>calm(X))<=>(~creative(X)&~old(X))))&
((?[X]:((~quiet(X)&strong(X))))=>(?[X]:((~quiet(X)<~>~creative(X)))))&
(![X]:((~quiet(X)&~humble(X))=>(~... | ~calm(mary) | [
"p3",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6057368994689009358301
% SZS output start Proof for 6057368994689009358301
4. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (~old(X0) & ~creative(X0))) [input p3]
13. ! [X0] : ((curious(X0) | patient(X0)) <=> (~old(X0) & creative(X0))) [input p12]
14. ! [X0] : ((~quiet(X0) | ~calm(X0)) => (~pati... | 0 |
If someone is either not tall or quiet then fred is patient and vice versa.
If someone is not patient then lucy is funny or not kind.
If someone is not humble then paul is funny and vice versa.
Everyone who is both strong and quiet is both not tall and not rich.
If someone is happy then someone is both not happy and no... | Paul is not happy. | entailment | ((?[X]:((~tall(X)<~>quiet(X))))<=>(patient(fred)))&
((?[X]:(~patient(X)))=>((funny(lucy)|~kind(lucy))))&
((?[X]:(~humble(X)))<=>(funny(paul)))&
(![X]:((strong(X)&quiet(X))=>(~tall(X)&~rich(X))))&
((?[X]:(happy(X)))=>(?[X]:((~happy(X)&~humble(X)))))&
(![X]:(patient(X)<=>(~brave(X)|tall(X))))&
(![X]:((~strong(X)<~>~brave... | ~happy(paul) | [
"p2",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4308613083706565994580890
% SZS output start Proof for 4308613083706565994580890
3. ? [X0] : ~humble(X0) <=> funny(paul) [input p2]
5. ? [X0] : happy(X0) => ? [X0] : (~humble(X0) & ~happy(X0)) [input p4]
15. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (strong(X0) & ~funny(X0))) [input p14]
22... | 0 |
If paul is either not generous or not old then someone is not generous or humble.
Everyone who is both not tall and not quiet is not quiet and vice versa.
Everyone who is either creative or patient is either not tall or not happy.
Everyone who is curious is both not creative and funny.
If someone is not tall then alice... | Mary is not humble. | contradiction | (((~generous(paul)<~>~old(paul)))=>(?[X]:((~generous(X)|humble(X)))))&
(![X]:((~tall(X)&~quiet(X))<=>~quiet(X)))&
(![X]:((creative(X)<~>patient(X))=>(~tall(X)<~>~happy(X))))&
(![X]:(curious(X)=>(~creative(X)&funny(X))))&
((?[X]:(~tall(X)))<=>(~generous(alice)))&
(![X]:((~patient(X)|rich(X))=>wise(X)))&
(![X]:((~quiet(X... | ~humble(mary) | [
"p3",
"p7",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1879905730175462546496398
% SZS output start Proof for 1879905730175462546496398
4. ! [X0] : (curious(X0) => (funny(X0) & ~creative(X0))) [input p3]
8. ! [X0] : ((~creative(X0) <~> humble(X0)) => (~calm(X0) <~> ~strong(X0))) [input p7]
10. ! [X0] : (curious(X0) <=> (old(X0) | ~curious(X0)... | 0 |
If someone is either generous or calm then someone is humble.
If alice is humble then someone is both not generous and funny.
If fred is either generous or not quiet then someone is brave.
Everyone who is not kind is both not wise and not strong and vice versa.
If mary is not calm then someone is not funny and vice ver... | Mary is strong. | contradiction | ((?[X]:((generous(X)<~>calm(X))))=>(?[X]:(humble(X))))&
((humble(alice))=>(?[X]:((~generous(X)&funny(X)))))&
(((generous(fred)<~>~quiet(fred)))=>(?[X]:(brave(X))))&
(![X]:(~kind(X)<=>(~wise(X)&~strong(X))))&
((~calm(mary))<=>(?[X]:(~funny(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>(~kind(X)&happy(X))))&
(![X]:((happy(X)|st... | strong(mary) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 917631805456134757618846
% SZS output start Proof for 917631805456134757618846
7. ! [X0] : ((strong(X0) | happy(X0)) <=> happy(X0)) [input p6]
13. ! [X0] : ((~patient(X0) <~> ~happy(X0)) <=> patient(X0)) [input p12]
25. strong(mary) [input hypothesis]
52. ! [X0] : (((strong(X0) | happy(X0... | 0 |
Everyone who is creative is both brave and wise and vice versa. If someone is calm then someone is either not humble or creative. If paul is both patient and not funny then someone is old or not old and vice versa. If john is not creative or not brave then someone is not patient. Everyone who is both happy and not brav... | Fred is generous. | neutral | (![X]:(creative(X)<=>(brave(X)&wise(X))))&
((?[X]:(calm(X)))=>(?[X]:((~humble(X)<~>creative(X)))))&
(((patient(paul)&~funny(paul)))<=>(?[X]:((old(X)|~old(X)))))&
(((~creative(john)|~brave(john)))=>(?[X]:(~patient(X))))&
(![X]:((happy(X)&~brave(X))=>(~rich(X)<~>~quiet(X))))&
(![X]:((wise(X)|~funny(X))<=>(~kind(X)&curiou... | generous(fred) | [] | null | 0 |
Everyone who is not generous or not rich is either generous or brave and vice versa.
If someone is both humble and not patient then susan is funny or generous and vice versa.
If alice is quiet then mary is calm.
Everyone who is not happy or not funny is either old or not tall and vice versa.
If john is not curious then... | Fred is not creative. | entailment | (![X]:((~generous(X)|~rich(X))<=>(generous(X)<~>brave(X))))&
((?[X]:((humble(X)&~patient(X))))<=>((funny(susan)|generous(susan))))&
((quiet(alice))=>(calm(mary)))&
(![X]:((~happy(X)|~funny(X))<=>(old(X)<~>~tall(X))))&
((~curious(john))<=>((happy(john)&~curious(john))))&
(![X]:((~patient(X)|~creative(X))<=>(~happy(X)|st... | ~creative(fred) | [
"p3",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 478773404754583107237779
% SZS output start Proof for 478773404754583107237779
4. ! [X0] : ((~funny(X0) | ~happy(X0)) <=> (old(X0) <~> ~tall(X0))) [input p3]
9. ! [X0] : ((patient(X0) | generous(X0)) <=> ~generous(X0)) [input p8]
11. ! [X0] : (~generous(X0) => ~funny(X0)) [input p10]
15. ... | 0 |
Everyone who is either calm or tall is not quiet.
Everyone who is either patient or brave is both not happy and wise.
If mary is tall then lucy is both not humble and happy.
If paul is both not happy and generous then someone is both not kind and wise.
Everyone who is quiet or tall is either rich or not funny.
Everyone... | Mary is creative. | neutral | (![X]:((calm(X)<~>tall(X))=>~quiet(X)))&
(![X]:((patient(X)<~>brave(X))=>(~happy(X)&wise(X))))&
((tall(mary))=>((~humble(lucy)&happy(lucy))))&
(((~happy(paul)&generous(paul)))=>(?[X]:((~kind(X)&wise(X)))))&
(![X]:((quiet(X)|tall(X))=>(rich(X)<~>~funny(X))))&
(![X]:((wise(X)|~funny(X))=>(happy(X)&wise(X))))&
(((~kind(al... | creative(mary) | [] | null | 0 |
If someone is either not old or not strong then someone is both calm and old and vice versa.
Everyone who is both funny and not generous is not brave or curious and vice versa.
Everyone who is not quiet is both tall and calm.
Everyone who is both not wise and not kind is both calm and not kind and vice versa.
If someon... | Alice is not happy. | entailment | ((?[X]:((~old(X)<~>~strong(X))))<=>(?[X]:((calm(X)&old(X)))))&
(![X]:((funny(X)&~generous(X))<=>(~brave(X)|curious(X))))&
(![X]:(~quiet(X)=>(tall(X)&calm(X))))&
(![X]:((~wise(X)&~kind(X))<=>(calm(X)&~kind(X))))&
((?[X]:((rich(X)&tall(X))))=>(?[X]:((~creative(X)|strong(X)))))&
(((patient(lucy)&~old(lucy)))<=>(?[X]:(~ric... | ~happy(alice) | [
"p1",
"p12",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3646590572514993524388120
% SZS output start Proof for 3646590572514993524388120
2. ! [X0] : ((~generous(X0) & funny(X0)) <=> (curious(X0) | ~brave(X0))) [input p1]
13. ! [X0] : (~old(X0) => (~strong(X0) & ~calm(X0))) [input p12]
14. ! [X0] : ((~generous(X0) <~> brave(X0)) <=> (~rich(X0) ... | 0 |
If paul is wise then alice is either creative or not generous and vice versa.
Everyone who is either not old or not creative is either not calm or calm and vice versa.
Everyone who is rich is either not quiet or creative.
If someone is not curious or tall then fred is not old or not curious.
If lucy is not curious then... | Paul is not humble. | contradiction | ((wise(paul))<=>((creative(alice)<~>~generous(alice))))&
(![X]:((~old(X)<~>~creative(X))<=>(~calm(X)<~>calm(X))))&
(![X]:(rich(X)=>(~quiet(X)<~>creative(X))))&
((?[X]:((~curious(X)|tall(X))))=>((~old(fred)|~curious(fred))))&
((~curious(lucy))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X]:((creative(X)|~happy(X))))<=>((b... | ~humble(paul) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7915708833009368676371075
% SZS output start Proof for 7915708833009368676371075
2. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> (~calm(X0) <~> calm(X0))) [input p1]
4. ? [X0] : (tall(X0) | ~curious(X0)) => (~curious(fred) | ~old(fred)) [input p3]
5. ~curious(lucy) <=> ? [X0] : (~quiet(X0) ... | 0 |
Everyone who is old or not funny is strong or patient. If someone is either brave or not rich then mary is not humble or strong. If mary is not curious or calm then paul is not wise and vice versa. If someone is both creative and wise then mary is either wise or curious and vice versa. Everyone who is not happy or not ... | Susan is not tall. | neutral | (![X]:((old(X)|~funny(X))=>(strong(X)|patient(X))))&
((?[X]:((brave(X)<~>~rich(X))))=>((~humble(mary)|strong(mary))))&
(((~curious(mary)|calm(mary)))<=>(~wise(paul)))&
((?[X]:((creative(X)&wise(X))))<=>((wise(mary)<~>curious(mary))))&
(![X]:((~happy(X)|~rich(X))<=>kind(X)))&
(((happy(fred)&~patient(fred)))=>(?[X]:(wise... | ~tall(susan) | [] | null | 0 |
If someone is either not rich or calm then someone is tall and vice versa.
Everyone who is not funny is creative and vice versa.
Everyone who is either brave or kind is not tall.
If mary is not calm or patient then someone is both not brave and not strong.
Everyone who is not curious is not generous or not old and vice... | John is not curious. | contradiction | ((?[X]:((~rich(X)<~>calm(X))))<=>(?[X]:(tall(X))))&
(![X]:(~funny(X)<=>creative(X)))&
(![X]:((brave(X)<~>kind(X))=>~tall(X)))&
(((~calm(mary)|patient(mary)))=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:(~curious(X)<=>(~generous(X)|~old(X))))&
(((~happy(mary)&~brave(mary)))<=>(~patient(fred)))&
(![X]:((~curious(X)|~wise(X)... | ~curious(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4709836925417309766371743
% SZS output start Proof for 4709836925417309766371743
7. ! [X0] : ((~wise(X0) | ~curious(X0)) => (~patient(X0) & curious(X0))) [input p6]
19. ~curious(john) [input hypothesis]
23. ! [X0] : ((~patient(X0) & curious(X0)) | (wise(X0) & curious(X0))) [ennf transform... | 0 |
Everyone who is not rich is creative and vice versa.
Everyone who is either generous or calm is either rich or not calm.
If someone is either old or funny then someone is either old or not kind.
Everyone who is tall or not wise is both not humble and strong.
Everyone who is either curious or not brave is either not old... | Susan is not strong. | neutral | (![X]:(~rich(X)<=>creative(X)))&
(![X]:((generous(X)<~>calm(X))=>(rich(X)<~>~calm(X))))&
((?[X]:((old(X)<~>funny(X))))=>(?[X]:((old(X)<~>~kind(X)))))&
(![X]:((tall(X)|~wise(X))=>(~humble(X)&strong(X))))&
(![X]:((curious(X)<~>~brave(X))=>(~old(X)<~>~kind(X))))&
(![X]:((strong(X)<~>generous(X))=>(~tall(X)&~calm(X))))&
(!... | ~strong(susan) | [] | null | 0 |
Everyone who is either not happy or generous is not old or generous.
Everyone who is both not strong and not wise is not creative.
If someone is not tall then someone is not generous or not creative.
If someone is not patient or strong then someone is not tall or patient and vice versa.
If paul is curious then mary is ... | Susan is wise. | entailment | (![X]:((~happy(X)<~>generous(X))=>(~old(X)|generous(X))))&
(![X]:((~strong(X)&~wise(X))=>~creative(X)))&
((?[X]:(~tall(X)))=>(?[X]:((~generous(X)|~creative(X)))))&
((?[X]:((~patient(X)|strong(X))))<=>(?[X]:((~tall(X)|patient(X)))))&
((curious(paul))=>((~brave(mary)<~>curious(mary))))&
(![X]:((calm(X)&wise(X))<=>(rich(X... | wise(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3263080398212245150825225
% SZS output start Proof for 3263080398212245150825225
15. ! [X0] : ((~wise(X0) <~> wise(X0)) => wise(X0)) [input p14]
24. ~wise(susan) [input hypothesis]
36. ! [X0] : (wise(X0) | (~wise(X0) <=> wise(X0))) [ennf transformation 15]
69. ! [X0] : (wise(X0) | ((~wise... | 0 |
If someone is brave or happy then someone is not generous and vice versa. Everyone who is not tall or rich is either creative or not curious. If someone is either not brave or not kind then alice is generous or not brave and vice versa. If someone is either not curious or rich then someone is either not curious or kind... | Alice is tall. | entailment | ((?[X]:((brave(X)|happy(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~tall(X)|rich(X))=>(creative(X)<~>~curious(X))))&
((?[X]:((~brave(X)<~>~kind(X))))<=>((generous(alice)|~brave(alice))))&
((?[X]:((~curious(X)<~>rich(X))))<=>(?[X]:((~curious(X)<~>kind(X)))))&
((?[X]:((~calm(X)&~curious(X))))=>(~tall(lucy)))&
(![X]:((~stron... | tall(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6739266855752610316943367
% SZS output start Proof for 6739266855752610316943367
6. ! [X0] : ((strong(X0) | ~strong(X0)) <=> tall(X0)) [input p5]
25. ~tall(alice) [input hypothesis]
54. ! [X0] : (((strong(X0) | ~strong(X0)) | ~tall(X0)) & (tall(X0) | (~strong(X0) & strong(X0)))) [nnf tran... | 0 |
Everyone who is both humble and not strong is either not humble or not generous and vice versa.
Everyone who is funny is funny or not happy and vice versa.
Everyone who is not calm or brave is both not rich and not humble.
If mary is either not curious or tall then someone is both not patient and not old and vice versa... | Mary is not creative. | neutral | (![X]:((humble(X)&~strong(X))<=>(~humble(X)<~>~generous(X))))&
(![X]:(funny(X)<=>(funny(X)|~happy(X))))&
(![X]:((~calm(X)|brave(X))=>(~rich(X)&~humble(X))))&
(((~curious(mary)<~>tall(mary)))<=>(?[X]:((~patient(X)&~old(X)))))&
((?[X]:(~funny(X)))=>((happy(lucy)<~>funny(lucy))))&
(![X]:((wise(X)|~happy(X))=>(old(X)<~>bra... | ~creative(mary) | [] | null | 0 |
Everyone who is either kind or happy is not kind or calm and vice versa.
Everyone who is both patient and funny is either not creative or not generous.
If someone is both quiet and funny then someone is not strong.
If alice is both not calm and not curious then john is creative.
If someone is generous then someone is b... | Fred is quiet. | neutral | (![X]:((kind(X)<~>happy(X))<=>(~kind(X)|calm(X))))&
(![X]:((patient(X)&funny(X))=>(~creative(X)<~>~generous(X))))&
((?[X]:((quiet(X)&funny(X))))=>(?[X]:(~strong(X))))&
(((~calm(alice)&~curious(alice)))=>(creative(john)))&
((?[X]:(generous(X)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((tall(X)|~generous(X))=>(strong(X)&... | quiet(fred) | [] | null | 0 |
If john is both not wise and not humble then alice is patient. If someone is both funny and not creative then susan is both not calm and not strong. Everyone who is not brave is kind. Everyone who is not funny is funny or not strong and vice versa. Everyone who is both patient and creative is both not kind and funny an... | Alice is funny. | contradiction | (((~wise(john)&~humble(john)))=>(patient(alice)))&
((?[X]:((funny(X)&~creative(X))))=>((~calm(susan)&~strong(susan))))&
(![X]:(~brave(X)=>kind(X)))&
(![X]:(~funny(X)<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&creative(X))<=>(~kind(X)&funny(X))))&
(![X]:((rich(X)|tall(X))=>(generous(X)<~>brave(X))))&
(![X]:(~creative... | funny(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5832644035448757989209410
% SZS output start Proof for 5832644035448757989209410
4. ! [X0] : (~funny(X0) <=> (~strong(X0) | funny(X0))) [input p3]
25. funny(alice) [input hypothesis]
38. ! [X0] : ((~funny(X0) | (strong(X0) & ~funny(X0))) & ((~strong(X0) | funny(X0)) | funny(X0))) [nnf tra... | 0 |
If someone is not happy then fred is either creative or patient.
Everyone who is not quiet or creative is not curious or happy.
Everyone who is both not tall and not generous is brave and vice versa.
If someone is both tall and quiet then paul is not creative or curious and vice versa.
If john is both patient and rich ... | Mary is wise. | neutral | ((?[X]:(~happy(X)))=>((creative(fred)<~>patient(fred))))&
(![X]:((~quiet(X)|creative(X))=>(~curious(X)|happy(X))))&
(![X]:((~tall(X)&~generous(X))<=>brave(X)))&
((?[X]:((tall(X)&quiet(X))))<=>((~creative(paul)|curious(paul))))&
(((patient(john)&rich(john)))=>(?[X]:((funny(X)<~>creative(X)))))&
(![X]:((~happy(X)<~>happy... | wise(mary) | [] | null | 0 |
If someone is either old or not quiet then lucy is rich or not strong and vice versa.
If susan is both not strong and not patient then paul is both not curious and not humble and vice versa.
If lucy is both calm and not generous then someone is both strong and curious.
Everyone who is either creative or not tall is not... | Susan is not rich. | neutral | ((?[X]:((old(X)<~>~quiet(X))))<=>((rich(lucy)|~strong(lucy))))&
(((~strong(susan)&~patient(susan)))<=>((~curious(paul)&~humble(paul))))&
(((calm(lucy)&~generous(lucy)))=>(?[X]:((strong(X)&curious(X)))))&
(![X]:((creative(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((brave(X)&humble(X))=>(~calm(X)<~>quiet(X))))&
(((creative(... | ~rich(susan) | [] | null | 0 |
If someone is not wise then lucy is strong or not happy.
If someone is both not generous and creative then lucy is not wise and vice versa.
Everyone who is either curious or brave is either not calm or kind and vice versa.
Everyone who is either not humble or not strong is either not creative or tall.
Everyone who is e... | Lucy is not creative. | neutral | ((?[X]:(~wise(X)))=>((strong(lucy)|~happy(lucy))))&
((?[X]:((~generous(X)&creative(X))))<=>(~wise(lucy)))&
(![X]:((curious(X)<~>brave(X))<=>(~calm(X)<~>kind(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(~creative(X)<~>tall(X))))&
(![X]:((~old(X)<~>old(X))<=>(~creative(X)|~curious(X))))&
((?[X]:((calm(X)&~quiet(X))))<=>(cre... | ~creative(lucy) | [] | null | 0 |
Everyone who is either strong or not patient is strong and vice versa. If someone is either not funny or curious then someone is not wise or tall and vice versa. If someone is either strong or not quiet then someone is both wise and not patient. If alice is curious then someone is not funny. If john is not old then luc... | Paul is not generous. | contradiction | (![X]:((strong(X)<~>~patient(X))<=>strong(X)))&
((?[X]:((~funny(X)<~>curious(X))))<=>(?[X]:((~wise(X)|tall(X)))))&
((?[X]:((strong(X)<~>~quiet(X))))=>(?[X]:((wise(X)&~patient(X)))))&
((curious(alice))=>(?[X]:(~funny(X))))&
((~old(john))=>((~humble(lucy)|patient(lucy))))&
(((~kind(john)<~>~calm(john)))=>((~calm(lucy)&~g... | ~generous(paul) | [
"p0",
"p2",
"p6",
"p7",
"p10",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1458114120693819921484480
% SZS output start Proof for 1458114120693819921484480
1. ! [X0] : ((strong(X0) <~> ~patient(X0)) <=> strong(X0)) [input p0]
3. ? [X0] : (strong(X0) <~> ~quiet(X0)) => ? [X0] : (~patient(X0) & wise(X0)) [input p2]
7. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~kind(X0... | 0 |
Everyone who is brave is either not wise or not kind and vice versa. Everyone who is either not wise or wise is both not patient and old and vice versa. Everyone who is humble is rich or creative. Everyone who is both not humble and generous is both not humble and not kind and vice versa. Everyone who is either not hum... | Mary is not humble. | contradiction | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>wise(X))<=>(~patient(X)&old(X))))&
(![X]:(humble(X)=>(rich(X)|creative(X))))&
(![X]:((~humble(X)&generous(X))<=>(~humble(X)&~kind(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(happy(X)<~>~funny(X))))&
(((~strong(fred)<~>calm(fred)))=>((~calm(fred)|~rich(fred))))&
... | ~humble(mary) | [
"p1",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4332694478874739895932819
% SZS output start Proof for 4332694478874739895932819
2. ! [X0] : ((~wise(X0) <~> wise(X0)) <=> (old(X0) & ~patient(X0))) [input p1]
10. ! [X0] : ((generous(X0) | ~brave(X0)) => (patient(X0) <~> ~quiet(X0))) [input p9]
15. ! [X0] : ((brave(X0) | ~creative(X0)) =... | 0 |
If alice is either curious or not happy then someone is not kind or creative.
Everyone who is curious is either funny or calm and vice versa.
If mary is either kind or not old then mary is both not brave and not strong and vice versa.
If susan is either not brave or not rich then someone is calm.
Everyone who is either... | Mary is not brave. | contradiction | (((curious(alice)<~>~happy(alice)))=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:(curious(X)<=>(funny(X)<~>calm(X))))&
(((kind(mary)<~>~old(mary)))<=>((~brave(mary)&~strong(mary))))&
(((~brave(susan)<~>~rich(susan)))=>(?[X]:(calm(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(funny(X)|~creative(X))))&
(![X]:((strong(X)&~creat... | ~brave(mary) | [
"p4",
"p6",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2099070585648728491480631
% SZS output start Proof for 2099070585648728491480631
5. ! [X0] : ((~quiet(X0) <~> ~creative(X0)) <=> (~creative(X0) | funny(X0))) [input p4]
7. ! [X0] : ((~creative(X0) <~> quiet(X0)) <=> (calm(X0) <~> ~brave(X0))) [input p6]
9. ! [X0] : (~creative(X0) <=> (~qu... | 0 |
Everyone who is not happy is either not funny or not strong and vice versa. If someone is happy then alice is both quiet and calm. If mary is either not patient or not happy then fred is not wise or quiet and vice versa. If someone is either happy or not brave then someone is either patient or not brave. Everyone who i... | Alice is not patient. | entailment | (![X]:(~happy(X)<=>(~funny(X)<~>~strong(X))))&
((?[X]:(happy(X)))=>((quiet(alice)&calm(alice))))&
(((~patient(mary)<~>~happy(mary)))<=>((~wise(fred)|quiet(fred))))&
((?[X]:((happy(X)<~>~brave(X))))=>(?[X]:((patient(X)<~>~brave(X)))))&
(![X]:((generous(X)&strong(X))=>(curious(X)|~kind(X))))&
((?[X]:(~brave(X)))=>((humbl... | ~patient(alice) | [
"p1",
"p9",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3017474871510964018149491
% SZS output start Proof for 3017474871510964018149491
2. ? [X0] : happy(X0) => (calm(alice) & quiet(alice)) [input p1]
10. ! [X0] : ((calm(X0) & quiet(X0)) => ~patient(X0)) [input p9]
14. ! [X0] : ((curious(X0) | kind(X0)) <=> (~calm(X0) & happy(X0))) [input p13... | 0 |
If mary is both creative and not brave then someone is either not tall or humble. If lucy is either not patient or calm then someone is funny and vice versa. Everyone who is creative or quiet is either old or tall and vice versa. Everyone who is both not tall and not calm is generous and vice versa. Everyone who is not... | Lucy is not creative. | neutral | (((creative(mary)&~brave(mary)))=>(?[X]:((~tall(X)<~>humble(X)))))&
(((~patient(lucy)<~>calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((creative(X)|quiet(X))<=>(old(X)<~>tall(X))))&
(![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(![X]:(~calm(X)<=>(tall(X)|wise(X))))&
(![X]:((~kind(X)&quiet(X))<=>(~generous(X)|kind(X))))&
(![X]... | ~creative(lucy) | [] | null | 0 |
Everyone who is both not generous and strong is either old or not funny.
If susan is not kind then someone is both happy and not rich.
Everyone who is either funny or kind is creative or not strong and vice versa.
Everyone who is both tall and not kind is curious.
If john is either not brave or rich then someone is not... | Fred is not rich. | contradiction | (![X]:((~generous(X)&strong(X))=>(old(X)<~>~funny(X))))&
((~kind(susan))=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((funny(X)<~>kind(X))<=>(creative(X)|~strong(X))))&
(![X]:((tall(X)&~kind(X))=>curious(X)))&
(((~brave(john)<~>rich(john)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((wise(X)|~patient(X))=>(curious(X)&humble(X)... | ~rich(fred) | [
"p5",
"p6",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5109349415796892712225187
% SZS output start Proof for 5109349415796892712225187
6. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(X0) & curious(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input p6]
12. ! [X0] : ((~humble(X0) & generous(X0)) <=... | 0 |
If someone is patient then someone is both old and generous. If fred is both not curious and not rich then someone is quiet. Everyone who is both not humble and humble is either not funny or old and vice versa. Everyone who is happy or tall is either not curious or creative. Everyone who is both tall and creative is no... | Mary is generous. | neutral | ((?[X]:(patient(X)))=>(?[X]:((old(X)&generous(X)))))&
(((~curious(fred)&~rich(fred)))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)&humble(X))<=>(~funny(X)<~>old(X))))&
(![X]:((happy(X)|tall(X))=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X)&creative(X))=>~humble(X)))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>patient(X))))&
(... | generous(mary) | [] | null | 0 |
Everyone who is both funny and not tall is not tall.
Everyone who is strong or funny is either tall or strong.
Everyone who is both humble and not old is not rich.
Everyone who is not brave or rich is rich or happy and vice versa.
Everyone who is both not tall and not patient is generous and vice versa.
If fred is quie... | Susan is not calm. | neutral | (![X]:((funny(X)&~tall(X))=>~tall(X)))&
(![X]:((strong(X)|funny(X))=>(tall(X)<~>strong(X))))&
(![X]:((humble(X)&~old(X))=>~rich(X)))&
(![X]:((~brave(X)|rich(X))<=>(rich(X)|happy(X))))&
(![X]:((~tall(X)&~patient(X))<=>generous(X)))&
((quiet(fred))=>(?[X]:(tall(X))))&
((~calm(susan))=>(?[X]:((~creative(X)|curious(X)))))&... | ~calm(susan) | [] | null | 0 |
If lucy is either tall or not quiet then someone is not calm and vice versa.
Everyone who is both not old and creative is either not kind or strong and vice versa.
Everyone who is either not humble or not brave is both not curious and not kind.
If someone is both not curious and not brave then someone is not humble and... | Mary is not wise. | entailment | (((tall(lucy)<~>~quiet(lucy)))<=>(?[X]:(~calm(X))))&
(![X]:((~old(X)&creative(X))<=>(~kind(X)<~>strong(X))))&
(![X]:((~humble(X)<~>~brave(X))=>(~curious(X)&~kind(X))))&
((?[X]:((~curious(X)&~brave(X))))<=>(?[X]:(~humble(X))))&
((?[X]:(quiet(X)))<=>(?[X]:(calm(X))))&
((funny(susan))<=>(?[X]:((~wise(X)<~>~humble(X)))))&
... | ~wise(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 112447485649218575658097
% SZS output start Proof for 112447485649218575658097
14. ! [X0] : (wise(X0) => (~calm(X0) & ~wise(X0))) [input p13]
25. wise(mary) [input hypothesis]
36. ! [X0] : ((~calm(X0) & ~wise(X0)) | ~wise(X0)) [ennf transformation 14]
129. ~wise(X0) | ~wise(X0) [cnf trans... | 0 |
Everyone who is strong is not humble or not quiet and vice versa.
Everyone who is either brave or not brave is both creative and not patient and vice versa.
If lucy is curious then mary is old and vice versa.
Everyone who is both humble and tall is patient and vice versa.
Everyone who is not wise is not creative or not... | Lucy is not patient. | entailment | (![X]:(strong(X)<=>(~humble(X)|~quiet(X))))&
(![X]:((brave(X)<~>~brave(X))<=>(creative(X)&~patient(X))))&
((curious(lucy))<=>(old(mary)))&
(![X]:((humble(X)&tall(X))<=>patient(X)))&
(![X]:(~wise(X)=>(~creative(X)|~tall(X))))&
((?[X]:((rich(X)&wise(X))))=>(?[X]:(strong(X))))&
((~wise(lucy))=>(?[X]:(~happy(X))))&
((?[X]:... | ~patient(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4366171538367179879422884
% SZS output start Proof for 4366171538367179879422884
2. ! [X0] : ((brave(X0) <~> ~brave(X0)) <=> (~patient(X0) & creative(X0))) [input p1]
24. patient(lucy) [input hypothesis]
39. ! [X0] : ((((brave(X0) | ~brave(X0)) & (~brave(X0) | brave(X0))) | (patient(X0) |... | 0 |
Everyone who is not kind or not patient is either brave or calm and vice versa. If someone is patient or not kind then someone is both not funny and tall and vice versa. If someone is either calm or not curious then someone is both not tall and not brave. Everyone who is either curious or not tall is creative or not qu... | Lucy is generous. | neutral | (![X]:((~kind(X)|~patient(X))<=>(brave(X)<~>calm(X))))&
((?[X]:((patient(X)|~kind(X))))<=>(?[X]:((~funny(X)&tall(X)))))&
((?[X]:((calm(X)<~>~curious(X))))=>(?[X]:((~tall(X)&~brave(X)))))&
(![X]:((curious(X)<~>~tall(X))<=>(creative(X)|~quiet(X))))&
(![X]:((old(X)<~>~strong(X))<=>~strong(X)))&
((?[X]:((old(X)<~>wise(X)))... | generous(lucy) | [] | null | 0 |
Everyone who is not quiet is either old or not wise and vice versa. If someone is either rich or calm then mary is rich or strong. Everyone who is not calm is both not old and calm. If mary is not tall or not brave then someone is kind or strong. If someone is both not kind and not wise then someone is funny or wise. I... | Alice is happy. | contradiction | (![X]:(~quiet(X)<=>(old(X)<~>~wise(X))))&
((?[X]:((rich(X)<~>calm(X))))=>((rich(mary)|strong(mary))))&
(![X]:(~calm(X)=>(~old(X)&calm(X))))&
(((~tall(mary)|~brave(mary)))=>(?[X]:((kind(X)|strong(X)))))&
((?[X]:((~kind(X)&~wise(X))))=>(?[X]:((funny(X)|wise(X)))))&
((?[X]:(calm(X)))<=>(?[X]:(wise(X))))&
(![X]:((curious(X... | happy(alice) | [
"p2",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2799498477800097939734895
% SZS output start Proof for 2799498477800097939734895
3. ! [X0] : (~calm(X0) => (calm(X0) & ~old(X0))) [input p2]
11. ! [X0] : ((~calm(X0) <~> ~tall(X0)) <=> (~happy(X0) & ~funny(X0))) [input p10]
16. ! [X0] : ((calm(X0) | ~patient(X0)) <=> ~tall(X0)) [input p15... | 0 |
If susan is not patient then someone is tall and vice versa. Everyone who is generous is quiet or not happy. If someone is either not brave or wise then someone is both curious and not calm and vice versa. Everyone who is not creative is either not patient or brave and vice versa. Everyone who is either not old or not ... | Lucy is generous. | neutral | ((~patient(susan))<=>(?[X]:(tall(X))))&
(![X]:(generous(X)=>(quiet(X)|~happy(X))))&
((?[X]:((~brave(X)<~>wise(X))))<=>(?[X]:((curious(X)&~calm(X)))))&
(![X]:(~creative(X)<=>(~patient(X)<~>brave(X))))&
(![X]:((~old(X)<~>~creative(X))<=>(old(X)&wise(X))))&
(![X]:((brave(X)<~>~brave(X))<=>(generous(X)|~strong(X))))&
(((ge... | generous(lucy) | [] | null | 0 |
If someone is both not calm and funny then someone is either strong or tall. If alice is not funny or not quiet then mary is either tall or strong. If someone is brave then paul is either rich or strong and vice versa. If someone is either funny or not quiet then john is either not humble or not generous. Everyone who ... | John is not funny. | contradiction | ((?[X]:((~calm(X)&funny(X))))=>(?[X]:((strong(X)<~>tall(X)))))&
(((~funny(alice)|~quiet(alice)))=>((tall(mary)<~>strong(mary))))&
((?[X]:(brave(X)))<=>((rich(paul)<~>strong(paul))))&
((?[X]:((funny(X)<~>~quiet(X))))=>((~humble(john)<~>~generous(john))))&
(![X]:((~wise(X)|strong(X))=>(calm(X)&generous(X))))&
(![X]:((~ca... | ~funny(john) | [
"p4",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3963160672000743438507101
% SZS output start Proof for 3963160672000743438507101
5. ! [X0] : ((strong(X0) | ~wise(X0)) => (generous(X0) & calm(X0))) [input p4]
7. ! [X0] : ((~kind(X0) <~> tall(X0)) => (old(X0) <~> ~wise(X0))) [input p6]
8. ! [X0] : ((patient(X0) | ~strong(X0)) => (~old(X0... | 0 |
Everyone who is either rich or happy is rich or patient.
Everyone who is either not quiet or not strong is curious and vice versa.
If someone is both not kind and quiet then someone is generous or humble.
If alice is both humble and not funny then someone is rich and vice versa.
If someone is not humble then someone is... | Alice is calm. | neutral | (![X]:((rich(X)<~>happy(X))=>(rich(X)|patient(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>curious(X)))&
((?[X]:((~kind(X)&quiet(X))))=>(?[X]:((generous(X)|humble(X)))))&
(((humble(alice)&~funny(alice)))<=>(?[X]:(rich(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((brave(X)|~quiet(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:(~funny(X))))&
... | calm(alice) | [] | null | 0 |
Everyone who is brave or not creative is not old or quiet.
Everyone who is not calm or funny is both generous and not brave and vice versa.
Everyone who is either not curious or quiet is not brave or wise and vice versa.
If someone is not quiet or creative then someone is not calm or humble.
Everyone who is either wise... | Mary is calm. | entailment | (![X]:((brave(X)|~creative(X))=>(~old(X)|quiet(X))))&
(![X]:((~calm(X)|funny(X))<=>(generous(X)&~brave(X))))&
(![X]:((~curious(X)<~>quiet(X))<=>(~brave(X)|wise(X))))&
((?[X]:((~quiet(X)|creative(X))))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((wise(X)<~>funny(X))=>(brave(X)&~old(X))))&
(![X]:((~quiet(X)|curious(X))<=>fun... | calm(mary) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 141022170645165712386786
% SZS output start Proof for 141022170645165712386786
2. ! [X0] : ((funny(X0) | ~calm(X0)) <=> (~brave(X0) & generous(X0))) [input p1]
3. ! [X0] : ((~curious(X0) <~> quiet(X0)) <=> (wise(X0) | ~brave(X0))) [input p2]
5. ! [X0] : ((wise(X0) <~> funny(X0)) => (~old(... | 0 |
Everyone who is either generous or not calm is both funny and not patient and vice versa.
Everyone who is rich or not patient is both not patient and humble and vice versa.
If someone is either not wise or not happy then alice is both not calm and not kind.
Everyone who is either not happy or not patient is both rich a... | John is not kind. | neutral | (![X]:((generous(X)<~>~calm(X))<=>(funny(X)&~patient(X))))&
(![X]:((rich(X)|~patient(X))<=>(~patient(X)&humble(X))))&
((?[X]:((~wise(X)<~>~happy(X))))=>((~calm(alice)&~kind(alice))))&
(![X]:((~happy(X)<~>~patient(X))=>(rich(X)&~wise(X))))&
(![X]:((old(X)<~>~tall(X))=>(~generous(X)|rich(X))))&
((kind(fred))<=>((tall(sus... | ~kind(john) | [] | null | 0 |
If someone is not generous or not quiet then someone is either happy or not calm and vice versa.
Everyone who is both quiet and not old is not strong or not funny and vice versa.
If someone is either not rich or old then someone is either not wise or quiet and vice versa.
Everyone who is both not strong and patient is ... | John is not tall. | neutral | ((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((happy(X)<~>~calm(X)))))&
(![X]:((quiet(X)&~old(X))<=>(~strong(X)|~funny(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((~strong(X)&patient(X))<=>~quiet(X)))&
(((happy(john)<~>~old(john)))<=>(?[X]:((~curious(X)&~tall(X)))))&
((~strong(paul))<=>... | ~tall(john) | [] | null | 0 |
If john is both wise and rich then lucy is not happy. Everyone who is both not humble and kind is both rich and not kind and vice versa. If alice is tall then someone is not old. If someone is old or strong then fred is funny and vice versa. Everyone who is both curious and not patient is humble or not humble. Everyone... | Alice is patient. | contradiction | (((wise(john)&rich(john)))=>(~happy(lucy)))&
(![X]:((~humble(X)&kind(X))<=>(rich(X)&~kind(X))))&
((tall(alice))=>(?[X]:(~old(X))))&
((?[X]:((old(X)|strong(X))))<=>(funny(fred)))&
(![X]:((curious(X)&~patient(X))=>(humble(X)|~humble(X))))&
(![X]:((~rich(X)<~>~humble(X))=>(brave(X)|funny(X))))&
(((~happy(susan)<~>calm(sus... | patient(alice) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6654607580093871582434349
% SZS output start Proof for 6654607580093871582434349
11. ? [X0] : (patient(X0) <~> ~kind(X0)) => (~strong(lucy) & strong(lucy)) [input p10]
21. ~creative(alice) & kind(alice) [input p20]
24. patient(alice) [input hypothesis]
35. (~strong(lucy) & strong(lucy)) |... | 0 |
Everyone who is funny is quiet.
If lucy is not patient then someone is tall or happy and vice versa.
Everyone who is both not wise and wise is either kind or not calm.
Everyone who is either calm or not wise is both not patient and humble and vice versa.
If lucy is funny or not patient then someone is not funny or rich... | Lucy is not brave. | contradiction | (![X]:(funny(X)=>quiet(X)))&
((~patient(lucy))<=>(?[X]:((tall(X)|happy(X)))))&
(![X]:((~wise(X)&wise(X))=>(kind(X)<~>~calm(X))))&
(![X]:((calm(X)<~>~wise(X))<=>(~patient(X)&humble(X))))&
(((funny(lucy)|~patient(lucy)))<=>(?[X]:((~funny(X)|rich(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((funny(X)|old(X)))))&
(![X]:(~rich(X)<=>~... | ~brave(lucy) | [
"p6",
"p10",
"p11",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8825450789865742357644078
% SZS output start Proof for 8825450789865742357644078
7. ! [X0] : (~rich(X0) <=> ~humble(X0)) [input p6]
11. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (tall(X0) | ~curious(X0))) [input p10]
12. ! [X0] : ((humble(X0) <~> brave(X0)) => (curious(X0) & ~humble(X0)))... | 0 |
Everyone who is both curious and rich is either not creative or old and vice versa.
If fred is funny or strong then someone is either not wise or not tall and vice versa.
If lucy is both not patient and tall then mary is brave or generous and vice versa.
Everyone who is both not humble and not rich is both curious and ... | Lucy is not wise. | neutral | (![X]:((curious(X)&rich(X))<=>(~creative(X)<~>old(X))))&
(((funny(fred)|strong(fred)))<=>(?[X]:((~wise(X)<~>~tall(X)))))&
(((~patient(lucy)&tall(lucy)))<=>((brave(mary)|generous(mary))))&
(![X]:((~humble(X)&~rich(X))<=>(curious(X)&~happy(X))))&
(((old(john)<~>~strong(john)))=>((~wise(susan)&tall(susan))))&
((?[X]:((str... | ~wise(lucy) | [] | null | 0 |
Everyone who is both not calm and generous is both not old and not humble.
If john is both calm and not funny then alice is either calm or generous and vice versa.
If alice is both not strong and happy then someone is curious or not calm and vice versa.
Everyone who is not happy or not brave is creative or not quiet.
I... | Lucy is not funny. | neutral | (![X]:((~calm(X)&generous(X))=>(~old(X)&~humble(X))))&
(((calm(john)&~funny(john)))<=>((calm(alice)<~>generous(alice))))&
(((~strong(alice)&happy(alice)))<=>(?[X]:((curious(X)|~calm(X)))))&
(![X]:((~happy(X)|~brave(X))=>(creative(X)|~quiet(X))))&
((patient(susan))<=>((~patient(fred)<~>happy(fred))))&
(![X]:(kind(X)<=>(... | ~funny(lucy) | [] | null | 0 |
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