premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not wise and curious is kind.
If fred is either not curious or not creative then someone is both not quiet and not calm.
If paul is both quiet and wise then fred is either generous or humble and vice versa.
If alice is both not old and not humble then fred is either quiet or not creative.
If someon... | Alice is old. | neutral | (![X]:((~wise(X)&curious(X))=>kind(X)))&
(((~curious(fred)<~>~creative(fred)))=>(?[X]:((~quiet(X)&~calm(X)))))&
(((quiet(paul)&wise(paul)))<=>((generous(fred)<~>humble(fred))))&
(((~old(alice)&~humble(alice)))=>((quiet(fred)<~>~creative(fred))))&
((?[X]:((calm(X)|curious(X))))=>(?[X]:(kind(X))))&
((?[X]:(~rich(X)))<=>(... | old(alice) | [] | null | 0 |
Everyone who is not kind is not wise.
If lucy is not happy then someone is wise or not generous.
Everyone who is either funny or strong is not tall.
Everyone who is both brave and wise is either not humble or quiet.
Everyone who is not patient or strong is either rich or not calm.
If paul is either creative or not calm... | Susan is happy. | entailment | (![X]:(~kind(X)=>~wise(X)))&
((~happy(lucy))=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:((funny(X)<~>strong(X))=>~tall(X)))&
(![X]:((brave(X)&wise(X))=>(~humble(X)<~>quiet(X))))&
(![X]:((~patient(X)|strong(X))=>(rich(X)<~>~calm(X))))&
(((creative(paul)<~>~calm(paul)))=>(?[X]:((~calm(X)|rich(X)))))&
(![X]:((patient(X)&~ge... | happy(susan) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5595781395626616522496221
% SZS output start Proof for 5595781395626616522496221
7. ! [X0] : ((~generous(X0) & patient(X0)) <=> ~happy(X0)) [input p6]
17. humble(susan) & generous(susan) [input p16]
25. ~happy(susan) [input hypothesis]
50. ! [X0] : (((~generous(X0) & patient(X0)) | happy(... | 0 |
If someone is both quiet and not humble then susan is strong and vice versa. If someone is tall then lucy is not brave and vice versa. Everyone who is either not wise or not brave is patient or curious and vice versa. Everyone who is not wise or not humble is not tall or kind and vice versa. Everyone who is not old or ... | Mary is strong. | entailment | ((?[X]:((quiet(X)&~humble(X))))<=>(strong(susan)))&
((?[X]:(tall(X)))<=>(~brave(lucy)))&
(![X]:((~wise(X)<~>~brave(X))<=>(patient(X)|curious(X))))&
(![X]:((~wise(X)|~humble(X))<=>(~tall(X)|kind(X))))&
(![X]:((~old(X)|rich(X))=>patient(X)))&
(![X]:(~curious(X)<=>~quiet(X)))&
((?[X]:((~humble(X)<~>happy(X))))<=>(happy(ma... | strong(mary) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3493516716130010763188821
% SZS output start Proof for 3493516716130010763188821
8. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> creative(X0)) [input p7]
10. ! [X0] : ((curious(X0) & strong(X0)) <=> creative(X0)) [input p9]
21. ~strong(mary) [input hypothesis]
45. ! [X0] : ((((calm(X0) | ~calm(... | 0 |
Everyone who is both tall and creative is both brave and not rich and vice versa. Everyone who is either happy or not kind is rich and vice versa. Everyone who is not kind or not humble is funny. Everyone who is both old and not tall is not rich. Everyone who is both patient and not strong is both not patient and creat... | Paul is curious. | contradiction | (![X]:((tall(X)&creative(X))<=>(brave(X)&~rich(X))))&
(![X]:((happy(X)<~>~kind(X))<=>rich(X)))&
(![X]:((~kind(X)|~humble(X))=>funny(X)))&
(![X]:((old(X)&~tall(X))=>~rich(X)))&
(![X]:((patient(X)&~strong(X))<=>(~patient(X)&creative(X))))&
(![X]:((patient(X)&~kind(X))<=>(curious(X)&creative(X))))&
((?[X]:((rich(X)<~>humb... | curious(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7225357751162297877429844
% SZS output start Proof for 7225357751162297877429844
13. ! [X0] : ((creative(X0) & ~creative(X0)) <=> (~quiet(X0) | curious(X0))) [input p12]
25. curious(paul) [input hypothesis]
61. ! [X0] : (((creative(X0) & ~creative(X0)) | (quiet(X0) & ~curious(X0))) & ((~q... | 0 |
Everyone who is either happy or generous is both not kind and not rich.
If someone is wise then someone is both quiet and not kind and vice versa.
Everyone who is generous or not kind is either generous or not kind and vice versa.
If mary is both not brave and not rich then alice is calm or wise and vice versa.
Everyon... | Susan is not happy. | entailment | (![X]:((happy(X)<~>generous(X))=>(~kind(X)&~rich(X))))&
((?[X]:(wise(X)))<=>(?[X]:((quiet(X)&~kind(X)))))&
(![X]:((generous(X)|~kind(X))<=>(generous(X)<~>~kind(X))))&
(((~brave(mary)&~rich(mary)))<=>((calm(alice)|wise(alice))))&
(![X]:((happy(X)|humble(X))<=>(rich(X)|creative(X))))&
(![X]:((tall(X)|kind(X))<=>~generous... | ~happy(susan) | [
"p0",
"p2",
"p5",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7299836654102111827545287
% SZS output start Proof for 7299836654102111827545287
1. ! [X0] : ((happy(X0) <~> generous(X0)) => (~rich(X0) & ~kind(X0))) [input p0]
3. ! [X0] : ((~kind(X0) | generous(X0)) <=> (generous(X0) <~> ~kind(X0))) [input p2]
6. ! [X0] : ((kind(X0) | tall(X0)) <=> ~ge... | 0 |
If john is not tall then someone is both not kind and kind and vice versa.
Everyone who is not kind or creative is not creative or not calm and vice versa.
Everyone who is both wise and rich is either not tall or not calm and vice versa.
Everyone who is not calm or not brave is either curious or not curious and vice ve... | Paul is funny. | contradiction | ((~tall(john))<=>(?[X]:((~kind(X)&kind(X)))))&
(![X]:((~kind(X)|creative(X))<=>(~creative(X)|~calm(X))))&
(![X]:((wise(X)&rich(X))<=>(~tall(X)<~>~calm(X))))&
(![X]:((~calm(X)|~brave(X))<=>(curious(X)<~>~curious(X))))&
(![X]:((~patient(X)&brave(X))<=>(~creative(X)<~>old(X))))&
(((old(john)&~calm(john)))<=>((~funny(mary)... | funny(paul) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6326844502630720238880872
% SZS output start Proof for 6326844502630720238880872
2. ! [X0] : ((creative(X0) | ~kind(X0)) <=> (~calm(X0) | ~creative(X0))) [input p1]
14. ! [X0] : (~funny(X0) <=> (~kind(X0) | creative(X0))) [input p13]
25. funny(paul) [input hypothesis]
39. ! [X0] : (((crea... | 0 |
If someone is curious then someone is not calm or humble.
Everyone who is either not strong or not quiet is both tall and funny.
Everyone who is both humble and not curious is either not creative or not kind and vice versa.
If someone is either calm or kind then paul is either strong or rich and vice versa.
Everyone wh... | Mary is quiet. | contradiction | ((?[X]:(curious(X)))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((~strong(X)<~>~quiet(X))=>(tall(X)&funny(X))))&
(![X]:((humble(X)&~curious(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:((calm(X)<~>kind(X))))<=>((strong(paul)<~>rich(paul))))&
(![X]:((~quiet(X)|tall(X))=>(~tall(X)|generous(X))))&
((?[X]:(~rich(X)))=>(~old(susan... | quiet(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9138698193638487067256917
% SZS output start Proof for 9138698193638487067256917
17. brave(mary) & ~quiet(mary) [input p16]
25. quiet(mary) [input hypothesis]
28. ~quiet(mary) [pure predicate removal 17]
144. ~quiet(mary) [cnf transformation 28]
154. quiet(mary) [cnf transformation 25]
36... | 0 |
If mary is not patient then someone is not patient. If paul is not kind then lucy is humble and vice versa. Everyone who is either kind or wise is not curious and vice versa. Everyone who is either strong or brave is both not generous and rich. If lucy is not tall then lucy is humble and vice versa. Everyone who is eit... | Alice is not happy. | neutral | ((~patient(mary))=>(?[X]:(~patient(X))))&
((~kind(paul))<=>(humble(lucy)))&
(![X]:((kind(X)<~>wise(X))<=>~curious(X)))&
(![X]:((strong(X)<~>brave(X))=>(~generous(X)&rich(X))))&
((~tall(lucy))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X)))&
((~strong(paul))=>(?[X]:(quiet(X))))&
(![X]:(~curious(X)... | ~happy(alice) | [] | null | 0 |
If paul is not wise then someone is not calm or not humble.
If someone is either not creative or not happy then someone is either not tall or not calm and vice versa.
If someone is not strong or strong then someone is both happy and not tall and vice versa.
If someone is generous or not humble then john is both not cre... | Susan is tall. | neutral | ((~wise(paul))=>(?[X]:((~calm(X)|~humble(X)))))&
((?[X]:((~creative(X)<~>~happy(X))))<=>(?[X]:((~tall(X)<~>~calm(X)))))&
((?[X]:((~strong(X)|strong(X))))<=>(?[X]:((happy(X)&~tall(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~creative(john)&~quiet(john))))&
(((~old(alice)<~>~humble(alice)))<=>((funny(lucy)|~quiet(lucy... | tall(susan) | [] | null | 0 |
If lucy is both calm and not rich then lucy is not patient or wise and vice versa. Everyone who is both not funny and not patient is both not creative and quiet and vice versa. Everyone who is not tall or generous is happy. If someone is not kind or creative then susan is both not kind and kind and vice versa. If someo... | Lucy is happy. | contradiction | (((calm(lucy)&~rich(lucy)))<=>((~patient(lucy)|wise(lucy))))&
(![X]:((~funny(X)&~patient(X))<=>(~creative(X)&quiet(X))))&
(![X]:((~tall(X)|generous(X))=>happy(X)))&
((?[X]:((~kind(X)|creative(X))))<=>((~kind(susan)&kind(susan))))&
((?[X]:((~happy(X)<~>~curious(X))))=>(?[X]:((generous(X)|curious(X)))))&
(((~kind(alice)<... | happy(lucy) | [
"p0",
"p1",
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7964556150468402797730307
% SZS output start Proof for 7964556150468402797730307
1. (~rich(lucy) & calm(lucy)) <=> (wise(lucy) | ~patient(lucy)) [input p0]
2. ! [X0] : ((~patient(X0) & ~funny(X0)) <=> (quiet(X0) & ~creative(X0))) [input p1]
4. ? [X0] : (creative(X0) | ~kind(X0)) <=> (kind... | 0 |
Everyone who is calm or not humble is either strong or old.
If someone is either not happy or not humble then someone is either not funny or quiet and vice versa.
Everyone who is not old is not quiet or not calm.
Everyone who is either not quiet or not kind is calm or not kind and vice versa.
If alice is funny then ali... | Paul is strong. | entailment | (![X]:((calm(X)|~humble(X))=>(strong(X)<~>old(X))))&
((?[X]:((~happy(X)<~>~humble(X))))<=>(?[X]:((~funny(X)<~>quiet(X)))))&
(![X]:(~old(X)=>(~quiet(X)|~calm(X))))&
(![X]:((~quiet(X)<~>~kind(X))<=>(calm(X)|~kind(X))))&
((funny(alice))=>(wise(alice)))&
(![X]:((~tall(X)<~>~quiet(X))<=>(old(X)&~creative(X))))&
((patient(fr... | strong(paul) | [
"p0",
"p3",
"p5",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1547686226871586835118490
% SZS output start Proof for 1547686226871586835118490
1. ! [X0] : ((~humble(X0) | calm(X0)) => (strong(X0) <~> old(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) <~> ~kind(X0)) <=> (~kind(X0) | calm(X0))) [input p3]
6. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> (~creat... | 0 |
Everyone who is generous is either tall or happy. If john is either not tall or happy then alice is both not old and patient. If someone is either funny or old then paul is not strong or not creative. Everyone who is both old and not tall is wise. Everyone who is both brave and creative is either happy or not humble. E... | Paul is not humble. | contradiction | (![X]:(generous(X)=>(tall(X)<~>happy(X))))&
(((~tall(john)<~>happy(john)))=>((~old(alice)&patient(alice))))&
((?[X]:((funny(X)<~>old(X))))=>((~strong(paul)|~creative(paul))))&
(![X]:((old(X)&~tall(X))=>wise(X)))&
(![X]:((brave(X)&creative(X))=>(happy(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&... | ~humble(paul) | [
"p0",
"p4",
"p5",
"p10",
"p11",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5942217953673534098719037
% SZS output start Proof for 5942217953673534098719037
1. ! [X0] : (generous(X0) => (tall(X0) <~> happy(X0))) [input p0]
5. ! [X0] : ((creative(X0) & brave(X0)) => (happy(X0) <~> ~humble(X0))) [input p4]
6. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))... | 0 |
Everyone who is wise or not funny is both tall and not happy and vice versa. Everyone who is both generous and humble is not generous and vice versa. Everyone who is both funny and patient is not old or not happy and vice versa. Everyone who is not happy is both not funny and not creative and vice versa. If someone is ... | Alice is not creative. | neutral | (![X]:((wise(X)|~funny(X))<=>(tall(X)&~happy(X))))&
(![X]:((generous(X)&humble(X))<=>~generous(X)))&
(![X]:((funny(X)&patient(X))<=>(~old(X)|~happy(X))))&
(![X]:(~happy(X)<=>(~funny(X)&~creative(X))))&
((?[X]:((~creative(X)|patient(X))))=>(?[X]:((brave(X)<~>~patient(X)))))&
((creative(susan))<=>(?[X]:((~tall(X)|wise(X)... | ~creative(alice) | [] | null | 0 |
If john is not brave then susan is not kind or not wise.
Everyone who is happy or not humble is patient or humble.
Everyone who is not brave or tall is both not patient and not humble and vice versa.
Everyone who is both not old and tall is both not calm and not tall and vice versa.
If john is not kind or not strong th... | Fred is strong. | entailment | ((~brave(john))=>((~kind(susan)|~wise(susan))))&
(![X]:((happy(X)|~humble(X))=>(patient(X)|humble(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)&~humble(X))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)&~tall(X))))&
(((~kind(john)|~strong(john)))<=>((~kind(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~humble(X)... | strong(fred) | [
"p1",
"p2",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6131654306728455133105265
% SZS output start Proof for 6131654306728455133105265
2. ! [X0] : ((~humble(X0) | happy(X0)) => (humble(X0) | patient(X0))) [input p1]
3. ! [X0] : ((tall(X0) | ~brave(X0)) <=> (~humble(X0) & ~patient(X0))) [input p2]
4. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~tall... | 0 |
Everyone who is both not humble and not strong is humble or not tall and vice versa.
If someone is both wise and quiet then someone is both humble and quiet and vice versa.
Everyone who is either quiet or not generous is both not wise and not happy and vice versa.
Everyone who is either not humble or not strong is tall... | Alice is wise. | contradiction | (![X]:((~humble(X)&~strong(X))<=>(humble(X)|~tall(X))))&
((?[X]:((wise(X)&quiet(X))))<=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:((quiet(X)<~>~generous(X))<=>(~wise(X)&~happy(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(tall(X)|~old(X))))&
((?[X]:((funny(X)|~wise(X))))=>(?[X]:(calm(X))))&
((happy(paul))=>((kind(lucy)|calm(lu... | wise(alice) | [
"p0",
"p1",
"p6",
"p7",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6244592729458689460884912
% SZS output start Proof for 6244592729458689460884912
1. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (~tall(X0) | humble(X0))) [input p0]
2. ? [X0] : (quiet(X0) & wise(X0)) <=> ? [X0] : (quiet(X0) & humble(X0)) [input p1]
7. ! [X0] : (brave(X0) <=> (wise(X0) <~> c... | 0 |
Everyone who is both quiet and kind is both not creative and funny and vice versa. If someone is both not creative and curious then fred is happy or patient. Everyone who is strong is not tall or brave and vice versa. If someone is both not generous and not brave then someone is wise or not quiet. Everyone who is not p... | Mary is not calm. | contradiction | (![X]:((quiet(X)&kind(X))<=>(~creative(X)&funny(X))))&
((?[X]:((~creative(X)&curious(X))))=>((happy(fred)|patient(fred))))&
(![X]:(strong(X)<=>(~tall(X)|brave(X))))&
((?[X]:((~generous(X)&~brave(X))))=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:(~patient(X)=>wise(X)))&
(((old(fred)&kind(fred)))<=>(?[X]:((old(X)<~>~creative(X... | ~calm(mary) | [
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8535686890431366491975370
% SZS output start Proof for 8535686890431366491975370
14. ? [X0] : ~curious(X0) => (~funny(mary) & calm(mary)) [input p13]
19. ~curious(alice) [input p18]
25. ~calm(mary) [input hypothesis]
33. (~funny(mary) & calm(mary)) | ! [X0] : curious(X0) [ennf transformat... | 0 |
Everyone who is either wise or not creative is quiet.
If alice is both patient and brave then john is not generous or funny.
Everyone who is rich or humble is either strong or creative.
Everyone who is both not quiet and not tall is both generous and not humble and vice versa.
If someone is both not old and not funny t... | Paul is brave. | neutral | (![X]:((wise(X)<~>~creative(X))=>quiet(X)))&
(((patient(alice)&brave(alice)))=>((~generous(john)|funny(john))))&
(![X]:((rich(X)|humble(X))=>(strong(X)<~>creative(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(generous(X)&~humble(X))))&
((?[X]:((~old(X)&~funny(X))))<=>((~curious(paul)|quiet(paul))))&
(![X]:((calm(X)&brave(X))<=... | brave(paul) | [] | null | 0 |
If someone is both brave and generous then someone is not wise or not brave.
Everyone who is both not kind and not calm is kind or not strong.
If lucy is both not tall and not wise then someone is not strong or curious.
Everyone who is either not humble or not rich is either happy or quiet.
Everyone who is not quiet is... | Lucy is humble. | entailment | ((?[X]:((brave(X)&generous(X))))=>(?[X]:((~wise(X)|~brave(X)))))&
(![X]:((~kind(X)&~calm(X))=>(kind(X)|~strong(X))))&
(((~tall(lucy)&~wise(lucy)))=>(?[X]:((~strong(X)|curious(X)))))&
(![X]:((~humble(X)<~>~rich(X))=>(happy(X)<~>quiet(X))))&
(![X]:(~quiet(X)<=>(quiet(X)|humble(X))))&
(![X]:((~calm(X)&~strong(X))<=>~calm(... | humble(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 508428342676402215502808
% SZS output start Proof for 508428342676402215502808
5. ! [X0] : (~quiet(X0) <=> (humble(X0) | quiet(X0))) [input p4]
24. ~humble(lucy) [input hypothesis]
45. ! [X0] : ((~quiet(X0) | (~humble(X0) & ~quiet(X0))) & ((humble(X0) | quiet(X0)) | quiet(X0))) [nnf trans... | 0 |
Everyone who is funny or humble is humble and vice versa. Everyone who is not tall is not calm or not tall. Everyone who is both not funny and not curious is not generous or generous. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is bot... | Fred is quiet. | entailment | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:(~tall(X)=>(~calm(X)|~tall(X))))&
(![X]:((~funny(X)&~curious(X))=>(~generous(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(pa... | quiet(fred) | [
"p7",
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1843099826510175232875427
% SZS output start Proof for 1843099826510175232875427
8. ! [X0] : (~calm(X0) <=> rich(X0)) [input p7]
11. ! [X0] : (tall(X0) => (patient(X0) | ~kind(X0))) [input p10]
12. ! [X0] : ((calm(X0) | ~tall(X0)) => calm(X0)) [input p11]
13. ! [X0] : (~kind(X0) <=> (calm... | 0 |
If someone is humble or not happy then someone is not old.
Everyone who is both creative and not humble is both not brave and wise and vice versa.
Everyone who is both patient and not rich is both not old and old.
Everyone who is both not rich and not funny is both not calm and not wise and vice versa.
If mary is not c... | Susan is curious. | entailment | ((?[X]:((humble(X)|~happy(X))))=>(?[X]:(~old(X))))&
(![X]:((creative(X)&~humble(X))<=>(~brave(X)&wise(X))))&
(![X]:((patient(X)&~rich(X))=>(~old(X)&old(X))))&
(![X]:((~rich(X)&~funny(X))<=>(~calm(X)&~wise(X))))&
((~creative(mary))<=>(?[X]:((~kind(X)&~quiet(X)))))&
(![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<~>g... | curious(susan) | [
"p0",
"p5",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4827080663330087213512867
% SZS output start Proof for 4827080663330087213512867
1. ? [X0] : (~happy(X0) | humble(X0)) => ? [X0] : ~old(X0) [input p0]
6. ! [X0] : ((old(X0) & ~kind(X0)) <=> quiet(X0)) [input p5]
9. ! [X0] : ((humble(X0) <~> ~quiet(X0)) <=> (~curious(X0) | ~patient(X0))) [... | 0 |
Everyone who is not patient is either humble or not quiet. If fred is both generous and not wise then fred is wise or not old and vice versa. Everyone who is both not kind and quiet is not creative. If someone is not tall or calm then someone is not quiet and vice versa. Everyone who is both not happy and calm is eithe... | John is old. | contradiction | (![X]:(~patient(X)=>(humble(X)<~>~quiet(X))))&
(((generous(fred)&~wise(fred)))<=>((wise(fred)|~old(fred))))&
(![X]:((~kind(X)&quiet(X))=>~creative(X)))&
((?[X]:((~tall(X)|calm(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((~happy(X)&calm(X))<=>(patient(X)<~>generous(X))))&
(![X]:((curious(X)|~creative(X))<=>(~kind(X)|kind(X))))&... | old(john) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3110599257831178729682047
% SZS output start Proof for 3110599257831178729682047
7. ! [X0] : ((~funny(X0) <~> ~wise(X0)) => (funny(X0) <~> ~wise(X0))) [input p6]
14. ! [X0] : ((kind(X0) | old(X0)) <=> (wise(X0) <~> funny(X0))) [input p13]
24. old(john) [input hypothesis]
31. ! [X0] : ((fu... | 0 |
Everyone who is strong is not humble or funny.
Everyone who is both creative and strong is curious and vice versa.
Everyone who is either wise or not old is generous or not patient and vice versa.
If alice is not quiet then paul is either not rich or happy and vice versa.
Everyone who is not humble is either not genero... | Susan is funny. | neutral | (![X]:(strong(X)=>(~humble(X)|funny(X))))&
(![X]:((creative(X)&strong(X))<=>curious(X)))&
(![X]:((wise(X)<~>~old(X))<=>(generous(X)|~patient(X))))&
((~quiet(alice))<=>((~rich(paul)<~>happy(paul))))&
(![X]:(~humble(X)<=>(~generous(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>tall(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~t... | funny(susan) | [] | null | 0 |
Everyone who is both patient and not patient is not tall or not curious and vice versa.
Everyone who is not strong is not rich or old and vice versa.
If lucy is not old or not strong then fred is creative.
If mary is not creative or not rich then fred is both not tall and wise and vice versa.
If lucy is happy or not ge... | Alice is not rich. | neutral | (![X]:((patient(X)&~patient(X))<=>(~tall(X)|~curious(X))))&
(![X]:(~strong(X)<=>(~rich(X)|old(X))))&
(((~old(lucy)|~strong(lucy)))=>(creative(fred)))&
(((~creative(mary)|~rich(mary)))<=>((~tall(fred)&wise(fred))))&
(((happy(lucy)|~generous(lucy)))=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:((funny(X)<~>wise(X))<=>(calm(X... | ~rich(alice) | [] | null | 0 |
If paul is both not brave and old then paul is quiet.
Everyone who is both not wise and generous is not calm.
Everyone who is either not creative or funny is not creative.
If someone is quiet then someone is either tall or creative.
Everyone who is both calm and strong is tall.
Everyone who is not patient is either not... | Mary is creative. | contradiction | (((~brave(paul)&old(paul)))=>(quiet(paul)))&
(![X]:((~wise(X)&generous(X))=>~calm(X)))&
(![X]:((~creative(X)<~>funny(X))=>~creative(X)))&
((?[X]:(quiet(X)))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:((calm(X)&strong(X))=>tall(X)))&
(![X]:(~patient(X)<=>(~patient(X)<~>~wise(X))))&
(![X]:((calm(X)<~>generous(X))=>~calm(X... | creative(mary) | [
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4227724036677242696176641
% SZS output start Proof for 4227724036677242696176641
3. ! [X0] : ((~creative(X0) <~> funny(X0)) => ~creative(X0)) [input p2]
9. ! [X0] : ((kind(X0) | curious(X0)) => (creative(X0) <~> curious(X0))) [input p8]
13. ! [X0] : (~funny(X0) <=> (curious(X0) & humble(X... | 0 |
Everyone who is not creative is either strong or not quiet. Everyone who is not humble or patient is not patient. If lucy is both curious and rich then mary is not kind and vice versa. If fred is not happy or not rich then someone is both not old and not calm. If someone is both patient and happy then someone is either... | Mary is not wise. | entailment | (![X]:(~creative(X)=>(strong(X)<~>~quiet(X))))&
(![X]:((~humble(X)|patient(X))=>~patient(X)))&
(((curious(lucy)&rich(lucy)))<=>(~kind(mary)))&
(((~happy(fred)|~rich(fred)))=>(?[X]:((~old(X)&~calm(X)))))&
((?[X]:((patient(X)&happy(X))))<=>(?[X]:((funny(X)<~>rich(X)))))&
((?[X]:((~old(X)|tall(X))))=>(strong(fred)))&
((?[... | ~wise(mary) | [
"p1",
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 625578311339895063966735
% SZS output start Proof for 625578311339895063966735
2. ! [X0] : ((patient(X0) | ~humble(X0)) => ~patient(X0)) [input p1]
5. ? [X0] : (happy(X0) & patient(X0)) <=> ? [X0] : (funny(X0) <~> rich(X0)) [input p4]
11. ! [X0] : ((creative(X0) | ~generous(X0)) <=> (~ric... | 0 |
Everyone who is not humble or not tall is either not humble or tall.
If fred is not old then someone is either not patient or not old and vice versa.
Everyone who is not brave is funny or rich and vice versa.
If someone is both patient and not tall then fred is both not patient and brave and vice versa.
Everyone who is... | Fred is old. | neutral | (![X]:((~humble(X)|~tall(X))=>(~humble(X)<~>tall(X))))&
((~old(fred))<=>(?[X]:((~patient(X)<~>~old(X)))))&
(![X]:(~brave(X)<=>(funny(X)|rich(X))))&
((?[X]:((patient(X)&~tall(X))))<=>((~patient(fred)&brave(fred))))&
(![X]:((~calm(X)&~generous(X))<=>(happy(X)&tall(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(rich(X)|old(X))... | old(fred) | [] | null | 0 |
If fred is either old or calm then john is old or not creative and vice versa.
If someone is both not funny and funny then someone is both not rich and humble and vice versa.
Everyone who is both creative and quiet is rich and vice versa.
Everyone who is not creative is either not strong or not quiet.
Everyone who is b... | Mary is not patient. | neutral | (((old(fred)<~>calm(fred)))<=>((old(john)|~creative(john))))&
((?[X]:((~funny(X)&funny(X))))<=>(?[X]:((~rich(X)&humble(X)))))&
(![X]:((creative(X)&quiet(X))<=>rich(X)))&
(![X]:(~creative(X)=>(~strong(X)<~>~quiet(X))))&
(![X]:((~wise(X)&rich(X))<=>(creative(X)|old(X))))&
(![X]:(rich(X)=>(~patient(X)&wise(X))))&
((?[X]:(... | ~patient(mary) | [] | null | 0 |
If paul is not generous then lucy is either not quiet or not tall and vice versa. Everyone who is both creative and not wise is wise. If john is either not humble or tall then someone is both not strong and not calm and vice versa. If someone is both curious and old then someone is happy or not old. Everyone who is not... | Alice is not old. | entailment | ((~generous(paul))<=>((~quiet(lucy)<~>~tall(lucy))))&
(![X]:((creative(X)&~wise(X))=>wise(X)))&
(((~humble(john)<~>tall(john)))<=>(?[X]:((~strong(X)&~calm(X)))))&
((?[X]:((curious(X)&old(X))))=>(?[X]:((happy(X)|~old(X)))))&
(![X]:(~funny(X)=>(~creative(X)|~happy(X))))&
(![X]:((strong(X)|humble(X))=>~old(X)))&
((?[X]:((... | ~old(alice) | [
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6512029468984778789240663
% SZS output start Proof for 6512029468984778789240663
6. ! [X0] : ((humble(X0) | strong(X0)) => ~old(X0)) [input p5]
9. ! [X0] : (funny(X0) <=> (~strong(X0) | humble(X0))) [input p8]
15. ! [X0] : ((funny(X0) <~> humble(X0)) => (brave(X0) & ~funny(X0))) [input p1... | 0 |
Everyone who is either not humble or creative is old or not generous.
Everyone who is either patient or humble is not humble.
Everyone who is patient or curious is not brave.
Everyone who is not quiet or not happy is either not brave or not kind and vice versa.
If alice is brave then alice is not generous or not creati... | Paul is quiet. | neutral | (![X]:((~humble(X)<~>creative(X))=>(old(X)|~generous(X))))&
(![X]:((patient(X)<~>humble(X))=>~humble(X)))&
(![X]:((patient(X)|curious(X))=>~brave(X)))&
(![X]:((~quiet(X)|~happy(X))<=>(~brave(X)<~>~kind(X))))&
((brave(alice))<=>((~generous(alice)|~creative(alice))))&
((?[X]:((~calm(X)<~>~strong(X))))<=>(curious(paul)))&... | quiet(paul) | [] | null | 0 |
Everyone who is old or creative is not humble.
If someone is either funny or strong then paul is not strong or not funny and vice versa.
Everyone who is tall or not tall is brave.
Everyone who is not happy is not kind.
Everyone who is both not calm and curious is both wise and tall.
If someone is both generous and not ... | Alice is not kind. | entailment | (![X]:((old(X)|creative(X))=>~humble(X)))&
((?[X]:((funny(X)<~>strong(X))))<=>((~strong(paul)|~funny(paul))))&
(![X]:((tall(X)|~tall(X))=>brave(X)))&
(![X]:(~happy(X)=>~kind(X)))&
(![X]:((~calm(X)&curious(X))=>(wise(X)&tall(X))))&
((?[X]:((generous(X)&~happy(X))))=>(?[X]:(~strong(X))))&
(((~happy(john)&happy(john)))=>(... | ~kind(alice) | [
"p0",
"p3",
"p4",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 587677095690693045127665
% SZS output start Proof for 587677095690693045127665
1. ! [X0] : ((creative(X0) | old(X0)) => ~humble(X0)) [input p0]
4. ! [X0] : (~happy(X0) => ~kind(X0)) [input p3]
5. ! [X0] : ((curious(X0) & ~calm(X0)) => (tall(X0) & wise(X0))) [input p4]
13. ! [X0] : ((~pati... | 0 |
Everyone who is either not generous or not tall is not kind.
Everyone who is both wise and not wise is quiet or not rich.
Everyone who is not rich or not creative is not creative or tall.
If someone is both wise and strong then mary is not tall or patient.
Everyone who is wise or funny is both humble and not generous.
... | Paul is rich. | entailment | (![X]:((~generous(X)<~>~tall(X))=>~kind(X)))&
(![X]:((wise(X)&~wise(X))=>(quiet(X)|~rich(X))))&
(![X]:((~rich(X)|~creative(X))=>(~creative(X)|tall(X))))&
((?[X]:((wise(X)&strong(X))))=>((~tall(mary)|patient(mary))))&
(![X]:((wise(X)|funny(X))=>(humble(X)&~generous(X))))&
((?[X]:((~humble(X)|wise(X))))<=>((funny(alice)&... | rich(paul) | [
"p0",
"p2",
"p4",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 355222268042319395411167
% SZS output start Proof for 355222268042319395411167
1. ! [X0] : ((~generous(X0) <~> ~tall(X0)) => ~kind(X0)) [input p0]
3. ! [X0] : ((~creative(X0) | ~rich(X0)) => (tall(X0) | ~creative(X0))) [input p2]
5. ! [X0] : ((funny(X0) | wise(X0)) => (~generous(X0) & hum... | 0 |
Everyone who is both quiet and patient is wise.
If someone is both not calm and not brave then mary is both strong and generous.
If mary is both not calm and not wise then lucy is not brave or funny.
Everyone who is not quiet or not creative is both rich and not brave.
Everyone who is funny is either not kind or not br... | Alice is humble. | entailment | (![X]:((quiet(X)&patient(X))=>wise(X)))&
((?[X]:((~calm(X)&~brave(X))))=>((strong(mary)&generous(mary))))&
(((~calm(mary)&~wise(mary)))=>((~brave(lucy)|funny(lucy))))&
(![X]:((~quiet(X)|~creative(X))=>(rich(X)&~brave(X))))&
(![X]:(funny(X)=>(~kind(X)<~>~brave(X))))&
(![X]:((~curious(X)&kind(X))<=>(~wise(X)&old(X))))&
(... | humble(alice) | [
"p3",
"p6",
"p7",
"p8",
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7576184046034709006948457
% SZS output start Proof for 7576184046034709006948457
4. ! [X0] : ((~creative(X0) | ~quiet(X0)) => (~brave(X0) & rich(X0))) [input p3]
7. ! [X0] : ((~calm(X0) <~> ~strong(X0)) <=> ~funny(X0)) [input p6]
8. ! [X0] : (calm(X0) => ~funny(X0)) [input p7]
9. ! [X0] :... | 0 |
Everyone who is not kind or not calm is quiet and vice versa.
Everyone who is not humble or not funny is creative or kind and vice versa.
If john is tall then fred is not wise or not humble.
If someone is either not patient or not brave then someone is strong.
Everyone who is either wise or not wise is curious or stron... | Fred is wise. | entailment | (![X]:((~kind(X)|~calm(X))<=>quiet(X)))&
(![X]:((~humble(X)|~funny(X))<=>(creative(X)|kind(X))))&
((tall(john))=>((~wise(fred)|~humble(fred))))&
((?[X]:((~patient(X)<~>~brave(X))))=>(?[X]:(strong(X))))&
(![X]:((wise(X)<~>~wise(X))<=>(curious(X)|strong(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((~happy(... | wise(fred) | [
"p0",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 358643804645369589395359
% SZS output start Proof for 358643804645369589395359
1. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> quiet(X0)) [input p0]
8. ! [X0] : ((wise(X0) & brave(X0)) <=> (~humble(X0) & quiet(X0))) [input p7]
9. ! [X0] : ((calm(X0) | ~humble(X0)) <=> ~calm(X0)) [input p8]
21. ~... | 0 |
If fred is either creative or not rich then someone is not happy or wise and vice versa.
If someone is kind then alice is either not brave or not patient and vice versa.
Everyone who is wise or not wise is rich.
Everyone who is both rich and not kind is both funny and strong and vice versa.
If someone is either tall or... | Lucy is not quiet. | neutral | (((creative(fred)<~>~rich(fred)))<=>(?[X]:((~happy(X)|wise(X)))))&
((?[X]:(kind(X)))<=>((~brave(alice)<~>~patient(alice))))&
(![X]:((wise(X)|~wise(X))=>rich(X)))&
(![X]:((rich(X)&~kind(X))<=>(funny(X)&strong(X))))&
((?[X]:((tall(X)<~>generous(X))))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((~old(X)|~calm(X))=>(~tall(X)|cre... | ~quiet(lucy) | [] | null | 0 |
Everyone who is generous is either happy or tall. Everyone who is brave or old is either not curious or creative and vice versa. Everyone who is not funny or not wise is both not rich and not wise and vice versa. If someone is either not rich or not old then mary is both funny and not creative and vice versa. If john i... | Mary is not curious. | entailment | (![X]:(generous(X)=>(happy(X)<~>tall(X))))&
(![X]:((brave(X)|old(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~funny(X)|~wise(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~rich(X)<~>~old(X))))<=>((funny(mary)&~creative(mary))))&
(((~kind(john)&wise(john)))=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:(~generous(X)<=>(generous(X)... | ~curious(mary) | [
"p2",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1424982868637875288865383
% SZS output start Proof for 1424982868637875288865383
3. ! [X0] : ((~wise(X0) | ~funny(X0)) <=> (~wise(X0) & ~rich(X0))) [input p2]
6. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))) [input p5]
10. ! [X0] : (~curious(X0) <=> funny(X0)) [input p9]
11. !... | 0 |
Everyone who is kind or not old is either strong or not rich and vice versa. Everyone who is not quiet is not creative or not wise. Everyone who is either not old or not curious is both not kind and not humble and vice versa. If mary is not old then paul is either generous or not creative and vice versa. If alice is ei... | Lucy is creative. | contradiction | (![X]:((kind(X)|~old(X))<=>(strong(X)<~>~rich(X))))&
(![X]:(~quiet(X)=>(~creative(X)|~wise(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~kind(X)&~humble(X))))&
((~old(mary))<=>((generous(paul)<~>~creative(paul))))&
(((patient(alice)<~>old(alice)))<=>(~old(john)))&
(![X]:((generous(X)&strong(X))<=>(strong(X)|old(X))))&
(((h... | creative(lucy) | [
"p1",
"p3",
"p5",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5703163340308782080483435
% SZS output start Proof for 5703163340308782080483435
2. ! [X0] : (~quiet(X0) => (~wise(X0) | ~creative(X0))) [input p1]
4. ~old(mary) <=> (generous(paul) <~> ~creative(paul)) [input p3]
6. ! [X0] : ((strong(X0) & generous(X0)) <=> (old(X0) | strong(X0))) [input... | 0 |
If someone is both wise and not rich then alice is either rich or curious and vice versa. If someone is curious or happy then paul is tall and vice versa. If paul is not kind then someone is strong or kind and vice versa. Everyone who is creative or not kind is brave and vice versa. Everyone who is not happy is not bra... | Fred is generous. | neutral | ((?[X]:((wise(X)&~rich(X))))<=>((rich(alice)<~>curious(alice))))&
((?[X]:((curious(X)|happy(X))))<=>(tall(paul)))&
((~kind(paul))<=>(?[X]:((strong(X)|kind(X)))))&
(![X]:((creative(X)|~kind(X))<=>brave(X)))&
(![X]:(~happy(X)<=>(~brave(X)|~happy(X))))&
(![X]:((~brave(X)&~old(X))<=>creative(X)))&
(![X]:(curious(X)<=>(~gen... | generous(fred) | [] | null | 0 |
Everyone who is both not strong and not funny is either not quiet or not patient and vice versa.
Everyone who is both not brave and not creative is not wise and vice versa.
If someone is not tall or not humble then someone is not quiet.
If susan is both not brave and not kind then paul is either patient or curious.
If ... | Paul is not wise. | contradiction | (![X]:((~strong(X)&~funny(X))<=>(~quiet(X)<~>~patient(X))))&
(![X]:((~brave(X)&~creative(X))<=>~wise(X)))&
((?[X]:((~tall(X)|~humble(X))))=>(?[X]:(~quiet(X))))&
(((~brave(susan)&~kind(susan)))=>((patient(paul)<~>curious(paul))))&
((?[X]:((happy(X)<~>strong(X))))<=>(?[X]:((~brave(X)<~>~kind(X)))))&
(((~funny(john)&~happ... | ~wise(paul) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1778062689536869133396238
% SZS output start Proof for 1778062689536869133396238
2. ! [X0] : ((~creative(X0) & ~brave(X0)) <=> ~wise(X0)) [input p1]
15. ! [X0] : (~creative(X0) <=> (calm(X0) & brave(X0))) [input p14]
25. ~wise(paul) [input hypothesis]
29. ! [X0] : (~wise(X0) => (~creative... | 0 |
Everyone who is both curious and funny is strong or curious and vice versa. If mary is curious or not old then susan is patient or rich and vice versa. If mary is either wise or not curious then john is either generous or not curious and vice versa. If mary is kind then someone is calm or quiet. Everyone who is rich is... | Susan is generous. | contradiction | (![X]:((curious(X)&funny(X))<=>(strong(X)|curious(X))))&
(((curious(mary)|~old(mary)))<=>((patient(susan)|rich(susan))))&
(((wise(mary)<~>~curious(mary)))<=>((generous(john)<~>~curious(john))))&
((kind(mary))=>(?[X]:((calm(X)|quiet(X)))))&
(![X]:(rich(X)<=>(~old(X)&~generous(X))))&
(![X]:((generous(X)&patient(X))=>(kin... | generous(susan) | [
"p1",
"p4",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 699217061761434470801788
% SZS output start Proof for 699217061761434470801788
2. (~old(mary) | curious(mary)) <=> (rich(susan) | patient(susan)) [input p1]
5. ! [X0] : (rich(X0) <=> (~generous(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((patient(X0) | old(X0)) <=> (quiet(X0) & humble(X0))) ... | 0 |
Everyone who is strong or calm is both not tall and not rich and vice versa.
Everyone who is either not old or not rich is calm or funny and vice versa.
Everyone who is either brave or humble is either patient or old and vice versa.
Everyone who is both creative and not tall is both not old and patient.
If someone is n... | Mary is not kind. | neutral | (![X]:((strong(X)|calm(X))<=>(~tall(X)&~rich(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))<=>(patient(X)<~>old(X))))&
(![X]:((creative(X)&~tall(X))=>(~old(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&~rich(X)))))&
((?[X]:(humble(X)))<=>(curious(alice)))&
((~... | ~kind(mary) | [] | null | 0 |
Everyone who is quiet or curious is brave or strong and vice versa. Everyone who is strong is either not rich or rich and vice versa. Everyone who is not happy or rich is either old or rich and vice versa. Everyone who is rich is not generous. If susan is not strong then lucy is either not rich or not wise. If someone ... | Paul is not generous. | entailment | (![X]:((quiet(X)|curious(X))<=>(brave(X)|strong(X))))&
(![X]:(strong(X)<=>(~rich(X)<~>rich(X))))&
(![X]:((~happy(X)|rich(X))<=>(old(X)<~>rich(X))))&
(![X]:(rich(X)=>~generous(X)))&
((~strong(susan))=>((~rich(lucy)<~>~wise(lucy))))&
((?[X]:(wise(X)))<=>((~patient(john)&~calm(john))))&
((?[X]:((curious(X)&~curious(X))))<... | ~generous(paul) | [
"p3",
"p6",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5089091297303193074832322
% SZS output start Proof for 5089091297303193074832322
4. ! [X0] : (rich(X0) => ~generous(X0)) [input p3]
7. ? [X0] : (~curious(X0) & curious(X0)) <=> ~rich(lucy) [input p6]
11. ? [X0] : patient(X0) <=> (tall(paul) <~> generous(paul)) [input p10]
15. ! [X0] : ((p... | 0 |
If susan is not quiet then someone is not patient and vice versa.
If someone is both not brave and rich then someone is not old or not wise and vice versa.
Everyone who is either not old or generous is calm or old.
Everyone who is both not humble and funny is not kind or not strong and vice versa.
If someone is not hap... | Lucy is old. | entailment | ((~quiet(susan))<=>(?[X]:(~patient(X))))&
((?[X]:((~brave(X)&rich(X))))<=>(?[X]:((~old(X)|~wise(X)))))&
(![X]:((~old(X)<~>generous(X))=>(calm(X)|old(X))))&
(![X]:((~humble(X)&funny(X))<=>(~kind(X)|~strong(X))))&
((?[X]:(~happy(X)))=>(?[X]:((tall(X)&patient(X)))))&
(![X]:(old(X)<=>(brave(X)|~kind(X))))&
(![X]:((~generou... | old(lucy) | [
"p3",
"p5",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4813467707966532076809797
% SZS output start Proof for 4813467707966532076809797
4. ! [X0] : ((funny(X0) & ~humble(X0)) <=> (~strong(X0) | ~kind(X0))) [input p3]
6. ! [X0] : (old(X0) <=> (~kind(X0) | brave(X0))) [input p5]
15. ! [X0] : (~generous(X0) <=> ~strong(X0)) [input p14]
16. ! [X0... | 0 |
If fred is both not funny and not brave then susan is either generous or not tall.
Everyone who is patient or strong is both generous and not funny.
If someone is both not strong and funny then mary is not humble.
Everyone who is either strong or not kind is both not happy and not old and vice versa.
Everyone who is no... | Alice is old. | contradiction | (((~funny(fred)&~brave(fred)))=>((generous(susan)<~>~tall(susan))))&
(![X]:((patient(X)|strong(X))=>(generous(X)&~funny(X))))&
((?[X]:((~strong(X)&funny(X))))=>(~humble(mary)))&
(![X]:((strong(X)<~>~kind(X))<=>(~happy(X)&~old(X))))&
(![X]:((~rich(X)|~old(X))=>~patient(X)))&
(![X]:((~tall(X)<~>funny(X))<=>(~happy(X)<~>~... | old(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 927102043948141689430980
% SZS output start Proof for 927102043948141689430980
21. ~old(alice) [input p20]
25. old(alice) [input hypothesis]
117. ~old(alice) [cnf transformation 21]
121. old(alice) [cnf transformation 25]
246. $false [subsumption resolution 121,117]
% SZS output end Proof... | 0 |
Everyone who is either creative or not brave is not old and vice versa. Everyone who is not kind or wise is both happy and quiet and vice versa. Everyone who is either not funny or funny is both not patient and wise and vice versa. If someone is not patient then someone is both not old and not strong. Everyone who is c... | Alice is tall. | contradiction | (![X]:((creative(X)<~>~brave(X))<=>~old(X)))&
(![X]:((~kind(X)|wise(X))<=>(happy(X)&quiet(X))))&
(![X]:((~funny(X)<~>funny(X))<=>(~patient(X)&wise(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~old(X)&~strong(X)))))&
(![X]:(curious(X)=>(generous(X)&brave(X))))&
((?[X]:((~humble(X)&wise(X))))<=>((~humble(john)|wise(john))))&
(!... | tall(alice) | [
"p1",
"p2",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8714940755071582226460563
% SZS output start Proof for 8714940755071582226460563
2. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (quiet(X0) & happy(X0))) [input p1]
3. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (wise(X0) & ~patient(X0))) [input p2]
5. ! [X0] : (curious(X0) => (brave(X0) & generous(... | 0 |
Everyone who is both curious and generous is patient.
Everyone who is both not old and not funny is not creative or not funny and vice versa.
Everyone who is both not patient and not creative is not tall and vice versa.
Everyone who is funny is either not strong or not brave.
Everyone who is not creative is both creati... | Alice is wise. | neutral | (![X]:((curious(X)&generous(X))=>patient(X)))&
(![X]:((~old(X)&~funny(X))<=>(~creative(X)|~funny(X))))&
(![X]:((~patient(X)&~creative(X))<=>~tall(X)))&
(![X]:(funny(X)=>(~strong(X)<~>~brave(X))))&
(![X]:(~creative(X)=>(creative(X)&~kind(X))))&
(![X]:(~strong(X)=>(~old(X)|~humble(X))))&
(![X]:((strong(X)<~>~humble(X))<=... | wise(alice) | [] | null | 0 |
If someone is both not strong and not creative then someone is both not calm and not brave.
Everyone who is either not old or kind is funny or strong and vice versa.
Everyone who is either not quiet or patient is either curious or not generous.
If susan is both strong and not generous then someone is not wise.
Everyone... | Susan is strong. | neutral | ((?[X]:((~strong(X)&~creative(X))))=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((~old(X)<~>kind(X))<=>(funny(X)|strong(X))))&
(![X]:((~quiet(X)<~>patient(X))=>(curious(X)<~>~generous(X))))&
(((strong(susan)&~generous(susan)))=>(?[X]:(~wise(X))))&
(![X]:((generous(X)&~kind(X))=>(~calm(X)|~old(X))))&
((?[X]:((strong(X)&patie... | strong(susan) | [] | null | 0 |
Everyone who is not kind is both not kind and not curious.
Everyone who is either not old or not strong is happy.
Everyone who is either not happy or generous is either not brave or funny.
If susan is both not kind and happy then paul is either not funny or brave and vice versa.
Everyone who is both not happy and quiet... | John is not happy. | entailment | (![X]:(~kind(X)=>(~kind(X)&~curious(X))))&
(![X]:((~old(X)<~>~strong(X))=>happy(X)))&
(![X]:((~happy(X)<~>generous(X))=>(~brave(X)<~>funny(X))))&
(((~kind(susan)&happy(susan)))<=>((~funny(paul)<~>brave(paul))))&
(![X]:((~happy(X)&quiet(X))<=>(~curious(X)<~>curious(X))))&
(![X]:((funny(X)|~kind(X))=>(~rich(X)<~>~humble(... | ~happy(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3953731593568406966121021
% SZS output start Proof for 3953731593568406966121021
5. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (~curious(X0) <~> curious(X0))) [input p4]
24. happy(john) [input hypothesis]
39. ! [X0] : (((quiet(X0) & ~happy(X0)) | ((~curious(X0) | ~curious(X0)) & (curious(X0) ... | 0 |
Everyone who is old is both quiet and not kind. Everyone who is either not kind or not generous is quiet or not creative and vice versa. Everyone who is both not generous and brave is both curious and funny and vice versa. If someone is generous then someone is tall or creative. Everyone who is either generous or not s... | Fred is not strong. | neutral | (![X]:(old(X)=>(quiet(X)&~kind(X))))&
(![X]:((~kind(X)<~>~generous(X))<=>(quiet(X)|~creative(X))))&
(![X]:((~generous(X)&brave(X))<=>(curious(X)&funny(X))))&
((?[X]:(generous(X)))=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((generous(X)<~>~strong(X))=>(~brave(X)&~patient(X))))&
(((~happy(mary)<~>happy(mary)))<=>(?[X]:((~o... | ~strong(fred) | [] | null | 0 |
Everyone who is curious or strong is not happy or not calm and vice versa.
Everyone who is either not strong or not tall is not rich and vice versa.
Everyone who is rich is humble and vice versa.
Everyone who is quiet is not calm or patient.
Everyone who is both calm and generous is both not humble and brave.
Everyone ... | Fred is calm. | neutral | (![X]:((curious(X)|strong(X))<=>(~happy(X)|~calm(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>~rich(X)))&
(![X]:(rich(X)<=>humble(X)))&
(![X]:(quiet(X)=>(~calm(X)|patient(X))))&
(![X]:((calm(X)&generous(X))=>(~humble(X)&brave(X))))&
(![X]:((~wise(X)|curious(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(~rich... | calm(fred) | [] | null | 0 |
Everyone who is both kind and not creative is both funny and strong.
Everyone who is both tall and quiet is both not old and not funny and vice versa.
Everyone who is either not funny or not humble is both not rich and quiet.
If mary is funny then alice is either old or humble and vice versa.
If alice is either not hap... | Lucy is funny. | entailment | (![X]:((kind(X)&~creative(X))=>(funny(X)&strong(X))))&
(![X]:((tall(X)&quiet(X))<=>(~old(X)&~funny(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(~rich(X)&quiet(X))))&
((funny(mary))<=>((old(alice)<~>humble(alice))))&
(((~happy(alice)<~>~kind(alice)))=>(?[X]:(~quiet(X))))&
(((~patient(paul)<~>~creative(paul)))=>((~strong(luc... | funny(lucy) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6191216202721936361591862
% SZS output start Proof for 6191216202721936361591862
10. ! [X0] : ((strong(X0) & old(X0)) <=> (funny(X0) <~> ~strong(X0))) [input p9]
20. ~strong(lucy) [input p19]
25. ~funny(lucy) [input hypothesis]
49. ! [X0] : (((strong(X0) & old(X0)) | ((funny(X0) | strong(... | 0 |
If fred is not patient then fred is both generous and creative and vice versa.
Everyone who is curious or old is humble or not calm.
Everyone who is both not generous and not funny is brave and vice versa.
Everyone who is either generous or not old is either not humble or not strong.
Everyone who is strong is either pa... | Susan is generous. | entailment | ((~patient(fred))<=>((generous(fred)&creative(fred))))&
(![X]:((curious(X)|old(X))=>(humble(X)|~calm(X))))&
(![X]:((~generous(X)&~funny(X))<=>brave(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)<~>~strong(X))))&
(![X]:(strong(X)<=>(patient(X)<~>~happy(X))))&
((?[X]:((quiet(X)<~>wise(X))))=>((strong(fred)|quiet(fred)... | generous(susan) | [
"p2",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5156916685585212350890511
% SZS output start Proof for 5156916685585212350890511
3. ! [X0] : ((~funny(X0) & ~generous(X0)) <=> brave(X0)) [input p2]
9. ! [X0] : ((~patient(X0) | ~generous(X0)) => (wise(X0) & ~brave(X0))) [input p8]
20. ~funny(susan) [input p19]
24. ~generous(susan) [input... | 0 |
Everyone who is not humble or not kind is both brave and not creative. Everyone who is generous is either not kind or wise and vice versa. If someone is kind then someone is either not wise or not old and vice versa. Everyone who is quiet or strong is calm and vice versa. Everyone who is kind is rich. Everyone who is w... | Paul is creative. | contradiction | (![X]:((~humble(X)|~kind(X))=>(brave(X)&~creative(X))))&
(![X]:(generous(X)<=>(~kind(X)<~>wise(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((quiet(X)|strong(X))<=>calm(X)))&
(![X]:(kind(X)=>rich(X)))&
(![X]:(wise(X)=>(~calm(X)<~>generous(X))))&
((?[X]:((curious(X)|~brave(X))))<=>((~brave(alice)|bra... | creative(paul) | [
"p0",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5472390310575978621562903
% SZS output start Proof for 5472390310575978621562903
1. ! [X0] : ((~kind(X0) | ~humble(X0)) => (~creative(X0) & brave(X0))) [input p0]
10. ! [X0] : ((tall(X0) <~> happy(X0)) <=> (~kind(X0) & old(X0))) [input p9]
14. ? [X0] : (creative(X0) <~> ~kind(X0)) => ? [X... | 0 |
Everyone who is either not patient or patient is not generous or generous and vice versa.
If lucy is either funny or not brave then someone is quiet or funny and vice versa.
If someone is creative then mary is either not kind or strong and vice versa.
Everyone who is kind is either not tall or not generous and vice ver... | Fred is tall. | contradiction | (![X]:((~patient(X)<~>patient(X))<=>(~generous(X)|generous(X))))&
(((funny(lucy)<~>~brave(lucy)))<=>(?[X]:((quiet(X)|funny(X)))))&
((?[X]:(creative(X)))<=>((~kind(mary)<~>strong(mary))))&
(![X]:(kind(X)<=>(~tall(X)<~>~generous(X))))&
(((generous(paul)|~funny(paul)))=>(?[X]:((~strong(X)<~>happy(X)))))&
((?[X]:((creative... | tall(fred) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6402305995720928652865009
% SZS output start Proof for 6402305995720928652865009
4. ! [X0] : (kind(X0) <=> (~tall(X0) <~> ~generous(X0))) [input p3]
16. ! [X0] : ((kind(X0) | generous(X0)) => ~tall(X0)) [input p15]
25. tall(fred) [input hypothesis]
38. ! [X0] : (~tall(X0) | (~kind(X0) & ~... | 0 |
If fred is both strong and creative then someone is not quiet and vice versa. Everyone who is not tall is both not tall and not happy and vice versa. Everyone who is either not strong or not generous is old or not brave. If paul is either not wise or patient then someone is either old or not generous and vice versa. Ev... | Susan is not old. | neutral | (((strong(fred)&creative(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:(~tall(X)<=>(~tall(X)&~happy(X))))&
(![X]:((~strong(X)<~>~generous(X))=>(old(X)|~brave(X))))&
(((~wise(paul)<~>patient(paul)))<=>(?[X]:((old(X)<~>~generous(X)))))&
(![X]:((~humble(X)&kind(X))=>(calm(X)<~>~kind(X))))&
(((generous(alice)|calm(alice)))=>((~tall... | ~old(susan) | [] | null | 0 |
If paul is both not funny and not happy then someone is not generous and vice versa.
Everyone who is not happy is not strong and vice versa.
If mary is either humble or calm then susan is both calm and not patient and vice versa.
Everyone who is not curious or brave is kind.
If mary is both not kind and not humble then... | Mary is creative. | neutral | (((~funny(paul)&~happy(paul)))<=>(?[X]:(~generous(X))))&
(![X]:(~happy(X)<=>~strong(X)))&
(((humble(mary)<~>calm(mary)))<=>((calm(susan)&~patient(susan))))&
(![X]:((~curious(X)|brave(X))=>kind(X)))&
(((~kind(mary)&~humble(mary)))<=>((creative(susan)<~>rich(susan))))&
(![X]:((calm(X)&~old(X))=>(funny(X)&happy(X))))&
(((... | creative(mary) | [] | null | 0 |
Everyone who is not curious is either patient or rich and vice versa. If fred is humble then someone is either old or patient. If someone is wise or patient then someone is generous. Everyone who is both not happy and generous is both brave and not old and vice versa. If someone is both calm and not funny then someone ... | Fred is not calm. | neutral | (![X]:(~curious(X)<=>(patient(X)<~>rich(X))))&
((humble(fred))=>(?[X]:((old(X)<~>patient(X)))))&
((?[X]:((wise(X)|patient(X))))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)&generous(X))<=>(brave(X)&~old(X))))&
((?[X]:((calm(X)&~funny(X))))=>(?[X]:((~old(X)|~creative(X)))))&
(![X]:((~calm(X)<~>~quiet(X))=>(~calm(X)&old(X))... | ~calm(fred) | [] | null | 0 |
If someone is not strong then someone is quiet or old and vice versa.
Everyone who is both kind and not kind is both tall and generous and vice versa.
If susan is both not tall and humble then alice is brave or not tall.
Everyone who is both not brave and strong is old.
Everyone who is both humble and not generous is e... | Alice is tall. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:((quiet(X)|old(X)))))&
(![X]:((kind(X)&~kind(X))<=>(tall(X)&generous(X))))&
(((~tall(susan)&humble(susan)))=>((brave(alice)|~tall(alice))))&
(![X]:((~brave(X)&strong(X))=>old(X)))&
(![X]:((humble(X)&~generous(X))<=>(calm(X)<~>curious(X))))&
((?[X]:((~old(X)|generous(X))))=>(patient(mary)))&... | tall(alice) | [] | null | 0 |
If fred is both not creative and humble then someone is funny and vice versa. Everyone who is either not funny or patient is both not kind and not generous. Everyone who is both not funny and creative is humble. Everyone who is not kind is not strong or happy and vice versa. If someone is either not funny or not genero... | Paul is not humble. | entailment | (((~creative(fred)&humble(fred)))<=>(?[X]:(funny(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~kind(X)&~generous(X))))&
(![X]:((~funny(X)&creative(X))=>humble(X)))&
(![X]:(~kind(X)<=>(~strong(X)|happy(X))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:((rich(X)&patient(X)))))&
((happy(fred))=>(?[X]:((creative(X)&~rich(X))... | ~humble(paul) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7046320036645878809506948
% SZS output start Proof for 7046320036645878809506948
1. (humble(fred) & ~creative(fred)) <=> ? [X0] : funny(X0) [input p0]
4. ! [X0] : (~kind(X0) <=> (happy(X0) | ~strong(X0))) [input p3]
6. happy(fred) => ? [X0] : (~rich(X0) & creative(X0)) [input p5]
7. ! [X0... | 0 |
Everyone who is both curious and calm is not funny.
Everyone who is not generous is either not generous or kind and vice versa.
Everyone who is quiet or not old is not old and vice versa.
If alice is both humble and not calm then paul is either strong or not calm.
Everyone who is both humble and tall is kind and vice v... | John is happy. | neutral | (![X]:((curious(X)&calm(X))=>~funny(X)))&
(![X]:(~generous(X)<=>(~generous(X)<~>kind(X))))&
(![X]:((quiet(X)|~old(X))<=>~old(X)))&
(((humble(alice)&~calm(alice)))=>((strong(paul)<~>~calm(paul))))&
(![X]:((humble(X)&tall(X))<=>kind(X)))&
(![X]:((~creative(X)<~>brave(X))<=>~humble(X)))&
((~wise(alice))=>(rich(john)))&
((... | happy(john) | [] | null | 0 |
Everyone who is not generous is both not patient and not humble.
If someone is either old or quiet then someone is either brave or creative.
Everyone who is not happy or strong is both humble and kind and vice versa.
If someone is either creative or humble then mary is not curious.
Everyone who is happy or funny is pat... | Fred is not curious. | entailment | (![X]:(~generous(X)=>(~patient(X)&~humble(X))))&
((?[X]:((old(X)<~>quiet(X))))=>(?[X]:((brave(X)<~>creative(X)))))&
(![X]:((~happy(X)|strong(X))<=>(humble(X)&kind(X))))&
((?[X]:((creative(X)<~>humble(X))))=>(~curious(mary)))&
(![X]:((happy(X)|funny(X))=>patient(X)))&
(![X]:((~kind(X)|old(X))=>(quiet(X)|~rich(X))))&
((~... | ~curious(fred) | [
"p4",
"p9",
"p10",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1410813965142580830183500
% SZS output start Proof for 1410813965142580830183500
5. ! [X0] : ((funny(X0) | happy(X0)) => patient(X0)) [input p4]
10. ! [X0] : ((patient(X0) | ~wise(X0)) <=> (~quiet(X0) <~> ~curious(X0))) [input p9]
11. ! [X0] : ((tall(X0) | ~quiet(X0)) => (~brave(X0) & ~ha... | 0 |
If someone is humble or not calm then susan is either not wise or strong and vice versa.
Everyone who is generous is not curious or not strong and vice versa.
Everyone who is either kind or not strong is rich and vice versa.
If susan is not kind then alice is either creative or kind.
If someone is patient then someone ... | Lucy is not brave. | neutral | ((?[X]:((humble(X)|~calm(X))))<=>((~wise(susan)<~>strong(susan))))&
(![X]:(generous(X)<=>(~curious(X)|~strong(X))))&
(![X]:((kind(X)<~>~strong(X))<=>rich(X)))&
((~kind(susan))=>((creative(alice)<~>kind(alice))))&
((?[X]:(patient(X)))<=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((curious(X)&brave(X))=>(tall(X)<~>~humble(... | ~brave(lucy) | [] | null | 0 |
Everyone who is old is both curious and brave and vice versa. If alice is either wise or not tall then someone is both creative and not humble and vice versa. Everyone who is generous or not patient is not strong. Everyone who is generous is calm or patient and vice versa. Everyone who is not old or rich is both not br... | Mary is not kind. | contradiction | (![X]:(old(X)<=>(curious(X)&brave(X))))&
(((wise(alice)<~>~tall(alice)))<=>(?[X]:((creative(X)&~humble(X)))))&
(![X]:((generous(X)|~patient(X))=>~strong(X)))&
(![X]:(generous(X)<=>(calm(X)|patient(X))))&
(![X]:((~old(X)|rich(X))<=>(~brave(X)&~wise(X))))&
((?[X]:(~happy(X)))=>((brave(alice)<~>tall(alice))))&
((?[X]:((~q... | ~kind(mary) | [
"p2",
"p3",
"p6",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8033326636699802208297934
% SZS output start Proof for 8033326636699802208297934
3. ! [X0] : ((~patient(X0) | generous(X0)) => ~strong(X0)) [input p2]
4. ! [X0] : (generous(X0) <=> (patient(X0) | calm(X0))) [input p3]
7. ? [X0] : (~tall(X0) | ~quiet(X0)) => ? [X0] : (~tall(X0) & strong(X0... | 0 |
Everyone who is either not wise or not old is either quiet or not calm.
If lucy is not creative or kind then someone is either not rich or not old and vice versa.
If someone is kind then someone is not rich or tall and vice versa.
If someone is either not calm or not happy then john is not brave or not quiet and vice v... | John is not quiet. | entailment | (![X]:((~wise(X)<~>~old(X))=>(quiet(X)<~>~calm(X))))&
(((~creative(lucy)|kind(lucy)))<=>(?[X]:((~rich(X)<~>~old(X)))))&
((?[X]:(kind(X)))<=>(?[X]:((~rich(X)|tall(X)))))&
((?[X]:((~calm(X)<~>~happy(X))))<=>((~brave(john)|~quiet(john))))&
(((~funny(john)<~>kind(john)))<=>((happy(susan)&~humble(susan))))&
(![X]:((~wise(X)... | ~quiet(john) | [
"p2",
"p6",
"p9",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1641331533854767455817371
% SZS output start Proof for 1641331533854767455817371
3. ? [X0] : kind(X0) <=> ? [X0] : (tall(X0) | ~rich(X0)) [input p2]
7. ! [X0] : ((~happy(X0) & curious(X0)) <=> kind(X0)) [input p6]
10. ! [X0] : (quiet(X0) <=> (~old(X0) & ~curious(X0))) [input p9]
13. ! [X0... | 0 |
If alice is either generous or not generous then someone is either creative or not humble. If alice is patient or wise then fred is curious or not old and vice versa. Everyone who is either not old or happy is both curious and brave. If someone is not rich or quiet then john is both not funny and quiet. Everyone who is... | Susan is not creative. | entailment | (((generous(alice)<~>~generous(alice)))=>(?[X]:((creative(X)<~>~humble(X)))))&
(((patient(alice)|wise(alice)))<=>((curious(fred)|~old(fred))))&
(![X]:((~old(X)<~>happy(X))=>(curious(X)&brave(X))))&
((?[X]:((~rich(X)|quiet(X))))=>((~funny(john)&quiet(john))))&
(![X]:(~funny(X)=>(~brave(X)<~>brave(X))))&
(((~strong(john)... | ~creative(susan) | [
"p6",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3424180475498532061444168
% SZS output start Proof for 3424180475498532061444168
7. ! [X0] : ((brave(X0) | ~generous(X0)) <=> (creative(X0) | ~quiet(X0))) [input p6]
12. ! [X0] : ((old(X0) & ~creative(X0)) <=> brave(X0)) [input p11]
19. generous(susan) & strong(susan) [input p18]
25. crea... | 0 |
If alice is both not curious and not kind then someone is both not strong and not generous.
If someone is not kind or old then someone is generous.
Everyone who is not curious or tall is happy or not humble.
Everyone who is both not old and humble is both not humble and generous and vice versa.
Everyone who is strong i... | Fred is kind. | entailment | (((~curious(alice)&~kind(alice)))=>(?[X]:((~strong(X)&~generous(X)))))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|tall(X))=>(happy(X)|~humble(X))))&
(![X]:((~old(X)&humble(X))<=>(~humble(X)&generous(X))))&
(![X]:(strong(X)=>~old(X)))&
(![X]:(~generous(X)<=>(creative(X)|~quiet(X))))&
(![X]:... | kind(fred) | [
"p1",
"p5",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 892531507289266407809323
% SZS output start Proof for 892531507289266407809323
2. ? [X0] : (old(X0) | ~kind(X0)) => ? [X0] : generous(X0) [input p1]
6. ! [X0] : (~generous(X0) <=> (~quiet(X0) | creative(X0))) [input p5]
13. ! [X0] : ((~funny(X0) | generous(X0)) => (brave(X0) & kind(X0))) ... | 0 |
If someone is either not kind or not creative then paul is both not funny and not patient and vice versa.
Everyone who is calm is both rich and not old.
Everyone who is old or not curious is happy or not humble.
Everyone who is generous or rich is not funny.
If fred is not tall or not brave then alice is not generous o... | Mary is not patient. | neutral | ((?[X]:((~kind(X)<~>~creative(X))))<=>((~funny(paul)&~patient(paul))))&
(![X]:(calm(X)=>(rich(X)&~old(X))))&
(![X]:((old(X)|~curious(X))=>(happy(X)|~humble(X))))&
(![X]:((generous(X)|rich(X))=>~funny(X)))&
(((~tall(fred)|~brave(fred)))<=>((~generous(alice)|generous(alice))))&
(((~creative(alice)<~>happy(alice)))<=>((hu... | ~patient(mary) | [] | null | 0 |
Everyone who is both curious and wise is happy.
If john is either quiet or not rich then mary is old or happy and vice versa.
If susan is both not generous and not kind then paul is not wise and vice versa.
Everyone who is either not old or wise is both old and not funny and vice versa.
Everyone who is both not old and... | Lucy is not wise. | contradiction | (![X]:((curious(X)&wise(X))=>happy(X)))&
(((quiet(john)<~>~rich(john)))<=>((old(mary)|happy(mary))))&
(((~generous(susan)&~kind(susan)))<=>(~wise(paul)))&
(![X]:((~old(X)<~>wise(X))<=>(old(X)&~funny(X))))&
(![X]:((~old(X)&~wise(X))=>(generous(X)&brave(X))))&
(((~patient(alice)<~>kind(alice)))<=>(?[X]:((~brave(X)<~>~hap... | ~wise(lucy) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5208434871098210145974069
% SZS output start Proof for 5208434871098210145974069
4. ! [X0] : ((~old(X0) <~> wise(X0)) <=> (~funny(X0) & old(X0))) [input p3]
17. rich(lucy) & ~funny(lucy) [input p16]
23. ~wise(lucy) [input hypothesis]
39. ! [X0] : ((((~wise(X0) | old(X0)) & (wise(X0) | ~ol... | 0 |
If someone is funny or not quiet then mary is both not generous and not wise.
Everyone who is not calm or not happy is creative or not patient.
If someone is not quiet then paul is kind.
Everyone who is both strong and wise is both kind and not strong and vice versa.
If john is not generous or not quiet then someone is... | Paul is not kind. | entailment | ((?[X]:((funny(X)|~quiet(X))))=>((~generous(mary)&~wise(mary))))&
(![X]:((~calm(X)|~happy(X))=>(creative(X)|~patient(X))))&
((?[X]:(~quiet(X)))=>(kind(paul)))&
(![X]:((strong(X)&wise(X))<=>(kind(X)&~strong(X))))&
(((~generous(john)|~quiet(john)))<=>(?[X]:(~funny(X))))&
(![X]:((rich(X)<~>~wise(X))<=>(patient(X)|~creativ... | ~kind(paul) | [
"p3",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1735229024345240032203229
% SZS output start Proof for 1735229024345240032203229
4. ! [X0] : ((wise(X0) & strong(X0)) <=> (~strong(X0) & kind(X0))) [input p3]
6. ! [X0] : ((rich(X0) <~> ~wise(X0)) <=> (~creative(X0) | patient(X0))) [input p5]
9. ! [X0] : ((creative(X0) | funny(X0)) => (~c... | 0 |
If someone is both not happy and not quiet then someone is either not quiet or old.
Everyone who is both rich and not calm is not calm and vice versa.
If someone is either humble or not funny then someone is both rich and curious.
Everyone who is either not quiet or happy is either wise or not calm.
Everyone who is cur... | John is not calm. | entailment | ((?[X]:((~happy(X)&~quiet(X))))=>(?[X]:((~quiet(X)<~>old(X)))))&
(![X]:((rich(X)&~calm(X))<=>~calm(X)))&
((?[X]:((humble(X)<~>~funny(X))))=>(?[X]:((rich(X)&curious(X)))))&
(![X]:((~quiet(X)<~>happy(X))=>(wise(X)<~>~calm(X))))&
(![X]:(curious(X)<=>(~patient(X)|~curious(X))))&
((~generous(mary))=>(?[X]:((brave(X)|~brave(... | ~calm(john) | [
"p4",
"p7",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4032231977501979807525885
% SZS output start Proof for 4032231977501979807525885
5. ! [X0] : (curious(X0) <=> (~curious(X0) | ~patient(X0))) [input p4]
8. ! [X0] : ((funny(X0) <~> calm(X0)) <=> (~wise(X0) | calm(X0))) [input p7]
11. ! [X0] : ((rich(X0) <~> curious(X0)) => (kind(X0) <~> fu... | 0 |
Everyone who is wise is either not wise or not generous and vice versa.
If someone is both kind and old then paul is old or not curious and vice versa.
If susan is both creative and not generous then someone is not generous.
Everyone who is both not curious and not calm is both not patient and not quiet and vice versa.... | Susan is not generous. | entailment | (![X]:(wise(X)<=>(~wise(X)<~>~generous(X))))&
((?[X]:((kind(X)&old(X))))<=>((old(paul)|~curious(paul))))&
(((creative(susan)&~generous(susan)))=>(?[X]:(~generous(X))))&
(![X]:((~curious(X)&~calm(X))<=>(~patient(X)&~quiet(X))))&
(![X]:((rich(X)|~calm(X))<=>(brave(X)&patient(X))))&
(![X]:((tall(X)<~>brave(X))=>quiet(X)))... | ~generous(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8601776364204725490408363
% SZS output start Proof for 8601776364204725490408363
1. ! [X0] : (wise(X0) <=> (~wise(X0) <~> ~generous(X0))) [input p0]
23. generous(susan) [input hypothesis]
39. ! [X0] : ((wise(X0) | ((~wise(X0) | generous(X0)) & (~generous(X0) | wise(X0)))) & (((generous(X0... | 0 |
Everyone who is either creative or not kind is not quiet or not creative.
Everyone who is happy or not strong is either rich or strong.
If someone is rich then someone is both tall and wise and vice versa.
Everyone who is strong is both not kind and patient and vice versa.
Everyone who is both not quiet and tall is eit... | Fred is not old. | neutral | (![X]:((creative(X)<~>~kind(X))=>(~quiet(X)|~creative(X))))&
(![X]:((happy(X)|~strong(X))=>(rich(X)<~>strong(X))))&
((?[X]:(rich(X)))<=>(?[X]:((tall(X)&wise(X)))))&
(![X]:(strong(X)<=>(~kind(X)&patient(X))))&
(![X]:((~quiet(X)&tall(X))<=>(happy(X)<~>curious(X))))&
(((~funny(mary)&~patient(mary)))=>(?[X]:(~kind(X))))&
(... | ~old(fred) | [] | null | 0 |
Everyone who is either not tall or curious is either tall or not strong. Everyone who is not kind is quiet. If fred is not funny then john is not wise or rich and vice versa. Everyone who is either not tall or not generous is curious. Everyone who is not funny is rich or not patient and vice versa. If lucy is not curio... | Mary is not old. | neutral | (![X]:((~tall(X)<~>curious(X))=>(tall(X)<~>~strong(X))))&
(![X]:(~kind(X)=>quiet(X)))&
((~funny(fred))<=>((~wise(john)|rich(john))))&
(![X]:((~tall(X)<~>~generous(X))=>curious(X)))&
(![X]:(~funny(X)<=>(rich(X)|~patient(X))))&
((~curious(lucy))<=>(?[X]:((~rich(X)<~>curious(X)))))&
((?[X]:((creative(X)|~calm(X))))<=>((~k... | ~old(mary) | [] | null | 0 |
Everyone who is either patient or not calm is tall.
Everyone who is not tall is either not tall or not quiet and vice versa.
If fred is either not brave or not quiet then someone is both not old and not kind.
Everyone who is humble is not rich or wise and vice versa.
Everyone who is not rich or rich is happy or curious... | Alice is creative. | contradiction | (![X]:((patient(X)<~>~calm(X))=>tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)<~>~quiet(X))))&
(((~brave(fred)<~>~quiet(fred)))=>(?[X]:((~old(X)&~kind(X)))))&
(![X]:(humble(X)<=>(~rich(X)|wise(X))))&
(![X]:((~rich(X)|rich(X))=>(happy(X)|curious(X))))&
((?[X]:((curious(X)|~generous(X))))<=>(?[X]:(~brave(X))))&
(((~wise(alice)|w... | creative(alice) | [
"p1",
"p5",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3198632091981167867512
% SZS output start Proof for 3198632091981167867512
2. ! [X0] : (~tall(X0) <=> (~tall(X0) <~> ~quiet(X0))) [input p1]
6. ? [X0] : (~generous(X0) | curious(X0)) <=> ? [X0] : ~brave(X0) [input p5]
9. ! [X0] : ((humble(X0) <~> ~brave(X0)) <=> (humble(X0) <~> calm(X0)))... | 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... | Alice is not quiet. | neutral | (![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... | ~quiet(alice) | [] | null | 0 |
Everyone who is wise is either not kind or old. Everyone who is both curious and not strong is both not generous and not tall. If someone is both generous and patient then someone is not calm. Everyone who is both creative and humble is either wise or not creative. Everyone who is both happy and brave is not tall or qu... | Alice is kind. | entailment | (![X]:(wise(X)=>(~kind(X)<~>old(X))))&
(![X]:((curious(X)&~strong(X))=>(~generous(X)&~tall(X))))&
((?[X]:((generous(X)&patient(X))))=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&humble(X))=>(wise(X)<~>~creative(X))))&
(![X]:((happy(X)&brave(X))<=>(~tall(X)|quiet(X))))&
(![X]:(brave(X)=>(calm(X)|humble(X))))&
(![X]:((funny(... | kind(alice) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3508177988062210501111556
% SZS output start Proof for 3508177988062210501111556
9. ? [X0] : (happy(X0) | ~wise(X0)) <=> (wise(alice) & brave(alice)) [input p8]
12. ! [X0] : ((~rich(X0) & ~wise(X0)) <=> (~creative(X0) | ~kind(X0))) [input p11]
21. ~kind(alice) [input hypothesis]
50. (? [X... | 0 |
Everyone who is both tall and creative is old or quiet and vice versa. If alice is old then fred is not tall or not rich. If mary is calm then someone is not calm or rich and vice versa. Everyone who is not humble is not patient or not creative and vice versa. Everyone who is not patient is either creative or not calm.... | John is wise. | neutral | (![X]:((tall(X)&creative(X))<=>(old(X)|quiet(X))))&
((old(alice))=>((~tall(fred)|~rich(fred))))&
((calm(mary))<=>(?[X]:((~calm(X)|rich(X)))))&
(![X]:(~humble(X)<=>(~patient(X)|~creative(X))))&
(![X]:(~patient(X)=>(creative(X)<~>~calm(X))))&
((?[X]:((~funny(X)|rich(X))))=>((~calm(john)|creative(john))))&
(![X]:(strong(X... | wise(john) | [] | null | 0 |
If someone is creative or not rich then someone is both not tall and humble and vice versa. If mary is not quiet or kind then susan is not humble or humble and vice versa. Everyone who is either not wise or not old is both patient and rich and vice versa. Everyone who is generous or not creative is either not curious o... | Paul is not curious. | contradiction | ((?[X]:((creative(X)|~rich(X))))<=>(?[X]:((~tall(X)&humble(X)))))&
(((~quiet(mary)|kind(mary)))<=>((~humble(susan)|humble(susan))))&
(![X]:((~wise(X)<~>~old(X))<=>(patient(X)&rich(X))))&
(![X]:((generous(X)|~creative(X))<=>(~curious(X)<~>~brave(X))))&
(![X]:(wise(X)<=>(~calm(X)|funny(X))))&
((?[X]:((~strong(X)&brave(X)... | ~curious(paul) | [
"p3",
"p4",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4588918146583756434765602
% SZS output start Proof for 4588918146583756434765602
4. ! [X0] : ((~creative(X0) | generous(X0)) <=> (~curious(X0) <~> ~brave(X0))) [input p3]
5. ! [X0] : (wise(X0) <=> (funny(X0) | ~calm(X0))) [input p4]
10. ! [X0] : (~brave(X0) => (brave(X0) & ~funny(X0))) [i... | 0 |
Everyone who is either not calm or patient is not funny or quiet.
If fred is kind or creative then mary is rich or strong and vice versa.
Everyone who is not curious or not happy is not tall and vice versa.
Everyone who is both strong and funny is patient or quiet.
If someone is both tall and not wise then alice is not... | Susan is not kind. | contradiction | (![X]:((~calm(X)<~>patient(X))=>(~funny(X)|quiet(X))))&
(((kind(fred)|creative(fred)))<=>((rich(mary)|strong(mary))))&
(![X]:((~curious(X)|~happy(X))<=>~tall(X)))&
(![X]:((strong(X)&funny(X))=>(patient(X)|quiet(X))))&
((?[X]:((tall(X)&~wise(X))))<=>((~old(alice)|~calm(alice))))&
((quiet(mary))=>(~kind(lucy)))&
((?[X]:(... | ~kind(susan) | [
"p2",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 846986006248244839966990
% SZS output start Proof for 846986006248244839966990
3. ! [X0] : ((~happy(X0) | ~curious(X0)) <=> ~tall(X0)) [input p2]
10. ! [X0] : (~kind(X0) => ~curious(X0)) [input p9]
19. ~funny(susan) & tall(susan) [input p18]
24. ~kind(susan) [input hypothesis]
36. ! [X0] ... | 0 |
Everyone who is both not quiet and tall is not happy or funny.
Everyone who is tall is both not wise and patient and vice versa.
If john is either not quiet or old then someone is either not humble or not old and vice versa.
Everyone who is both quiet and happy is both not creative and not happy.
If someone is both old... | Lucy is not curious. | neutral | (![X]:((~quiet(X)&tall(X))=>(~happy(X)|funny(X))))&
(![X]:(tall(X)<=>(~wise(X)&patient(X))))&
(((~quiet(john)<~>old(john)))<=>(?[X]:((~humble(X)<~>~old(X)))))&
(![X]:((quiet(X)&happy(X))=>(~creative(X)&~happy(X))))&
((?[X]:((old(X)&happy(X))))=>(?[X]:(creative(X))))&
(![X]:(~old(X)=>rich(X)))&
((kind(susan))=>((rich(su... | ~curious(lucy) | [] | null | 0 |
If someone is quiet then alice is either funny or not wise.
If someone is either humble or generous then paul is tall or not strong and vice versa.
Everyone who is both not tall and not patient is both not generous and not brave.
If someone is curious then susan is either not strong or not old.
If someone is brave then... | Mary is tall. | contradiction | ((?[X]:(quiet(X)))=>((funny(alice)<~>~wise(alice))))&
((?[X]:((humble(X)<~>generous(X))))<=>((tall(paul)|~strong(paul))))&
(![X]:((~tall(X)&~patient(X))=>(~generous(X)&~brave(X))))&
((?[X]:(curious(X)))=>((~strong(susan)<~>~old(susan))))&
((?[X]:(brave(X)))<=>((creative(alice)<~>generous(alice))))&
(![X]:((~old(X)|~bra... | tall(mary) | [
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1297611378192254526190450
% SZS output start Proof for 1297611378192254526190450
11. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~curious(X0) <~> humble(X0))) [input p10]
12. ! [X0] : ((curious(X0) & old(X0)) <=> (patient(X0) | tall(X0))) [input p11]
13. ? [X0] : (happy(X0) | tall(X0)) => ?... | 0 |
If john is not creative or funny then lucy is wise and vice versa.
Everyone who is either not happy or generous is both calm and creative and vice versa.
Everyone who is either not brave or strong is both not kind and old.
Everyone who is funny or not kind is either creative or humble.
If someone is kind then someone i... | John is tall. | neutral | (((~creative(john)|funny(john)))<=>(wise(lucy)))&
(![X]:((~happy(X)<~>generous(X))<=>(calm(X)&creative(X))))&
(![X]:((~brave(X)<~>strong(X))=>(~kind(X)&old(X))))&
(![X]:((funny(X)|~kind(X))=>(creative(X)<~>humble(X))))&
((?[X]:(kind(X)))<=>(?[X]:(old(X))))&
(![X]:((~curious(X)&patient(X))=>~strong(X)))&
(![X]:(~old(X)=... | tall(john) | [] | null | 0 |
Everyone who is not wise or not creative is happy or not humble and vice versa. If someone is both not humble and happy then john is not curious or old. If someone is wise then someone is both not rich and strong and vice versa. If lucy is either calm or not calm then mary is brave and vice versa. Everyone who is kind ... | Lucy is not generous. | contradiction | (![X]:((~wise(X)|~creative(X))<=>(happy(X)|~humble(X))))&
((?[X]:((~humble(X)&happy(X))))=>((~curious(john)|old(john))))&
((?[X]:(wise(X)))<=>(?[X]:((~rich(X)&strong(X)))))&
(((calm(lucy)<~>~calm(lucy)))<=>(brave(mary)))&
(![X]:(kind(X)<=>~calm(X)))&
((?[X]:((humble(X)|funny(X))))=>(?[X]:((~rich(X)&~brave(X)))))&
((?[X... | ~generous(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5020720902502984533762371
% SZS output start Proof for 5020720902502984533762371
21. generous(lucy) [input p20]
25. ~generous(lucy) [input hypothesis]
150. generous(lucy) [cnf transformation 21]
155. ~generous(lucy) [cnf transformation 25]
355. $false [subsumption resolution 155,150]
% SZ... | 0 |
Everyone who is not quiet or quiet is creative.
Everyone who is not generous or not old is kind or humble.
If susan is either tall or happy then alice is either not patient or humble.
If alice is both not kind and not generous then paul is either humble or wise and vice versa.
Everyone who is tall or generous is not ha... | John is not happy. | neutral | (![X]:((~quiet(X)|quiet(X))=>creative(X)))&
(![X]:((~generous(X)|~old(X))=>(kind(X)|humble(X))))&
(((tall(susan)<~>happy(susan)))=>((~patient(alice)<~>humble(alice))))&
(((~kind(alice)&~generous(alice)))<=>((humble(paul)<~>wise(paul))))&
(![X]:((tall(X)|generous(X))=>~happy(X)))&
(![X]:((quiet(X)|~patient(X))<=>~humble... | ~happy(john) | [] | null | 0 |
Everyone who is brave is both not tall and quiet.
If john is either not patient or not quiet then lucy is either kind or not wise.
Everyone who is creative or not humble is either not kind or not rich and vice versa.
Everyone who is either funny or curious is calm or not humble and vice versa.
Everyone who is kind or n... | Paul is not creative. | neutral | (![X]:(brave(X)=>(~tall(X)&quiet(X))))&
(((~patient(john)<~>~quiet(john)))=>((kind(lucy)<~>~wise(lucy))))&
(![X]:((creative(X)|~humble(X))<=>(~kind(X)<~>~rich(X))))&
(![X]:((funny(X)<~>curious(X))<=>(calm(X)|~humble(X))))&
(![X]:((kind(X)|~happy(X))<=>(curious(X)<~>~humble(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(... | ~creative(paul) | [] | null | 0 |
Everyone who is rich or not wise is old or rich and vice versa.
Everyone who is either wise or generous is both humble and kind and vice versa.
If paul is not wise or curious then someone is either not patient or happy.
If susan is patient or not happy then someone is both old and not happy and vice versa.
If someone i... | Alice is wise. | entailment | (![X]:((rich(X)|~wise(X))<=>(old(X)|rich(X))))&
(![X]:((wise(X)<~>generous(X))<=>(humble(X)&kind(X))))&
(((~wise(paul)|curious(paul)))=>(?[X]:((~patient(X)<~>happy(X)))))&
(((patient(susan)|~happy(susan)))<=>(?[X]:((old(X)&~happy(X)))))&
((?[X]:(~old(X)))<=>(?[X]:((calm(X)|creative(X)))))&
(![X]:((strong(X)|~strong(X))... | wise(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2151260526629094911921620
% SZS output start Proof for 2151260526629094911921620
6. ! [X0] : ((~strong(X0) | strong(X0)) <=> (curious(X0) & wise(X0))) [input p5]
23. ~wise(alice) [input hypothesis]
47. ! [X0] : (((~strong(X0) | strong(X0)) | (~curious(X0) | ~wise(X0))) & ((curious(X0) & w... | 0 |
Everyone who is not generous is patient and vice versa.
Everyone who is both not happy and not humble is happy and vice versa.
If mary is not creative then lucy is strong and vice versa.
Everyone who is both strong and not funny is either patient or tall.
Everyone who is either wise or not kind is not generous and vice... | Fred is quiet. | neutral | (![X]:(~generous(X)<=>patient(X)))&
(![X]:((~happy(X)&~humble(X))<=>happy(X)))&
((~creative(mary))<=>(strong(lucy)))&
(![X]:((strong(X)&~funny(X))=>(patient(X)<~>tall(X))))&
(![X]:((wise(X)<~>~kind(X))<=>~generous(X)))&
((wise(mary))<=>(wise(john)))&
(![X]:(~wise(X)=>~quiet(X)))&
((~rich(fred))<=>(?[X]:((~humble(X)<~>h... | quiet(fred) | [] | null | 0 |
Everyone who is both not patient and not old is rich and vice versa.
Everyone who is either quiet or not quiet is either quiet or not humble and vice versa.
If mary is not humble then someone is not quiet and vice versa.
Everyone who is not tall or humble is not creative.
If alice is humble then fred is either not rich... | John is generous. | neutral | (![X]:((~patient(X)&~old(X))<=>rich(X)))&
(![X]:((quiet(X)<~>~quiet(X))<=>(quiet(X)<~>~humble(X))))&
((~humble(mary))<=>(?[X]:(~quiet(X))))&
(![X]:((~tall(X)|humble(X))=>~creative(X)))&
((humble(alice))<=>((~rich(fred)<~>~wise(fred))))&
(![X]:((generous(X)<~>brave(X))=>(~quiet(X)|~creative(X))))&
(![X]:(tall(X)=>calm(X... | generous(john) | [] | null | 0 |
Everyone who is either not calm or not generous is kind or not strong and vice versa.
Everyone who is both rich and not generous is either kind or curious and vice versa.
Everyone who is not calm is not creative or strong and vice versa.
Everyone who is both not old and not patient is not funny and vice versa.
Everyone... | Susan is strong. | neutral | (![X]:((~calm(X)<~>~generous(X))<=>(kind(X)|~strong(X))))&
(![X]:((rich(X)&~generous(X))<=>(kind(X)<~>curious(X))))&
(![X]:(~calm(X)<=>(~creative(X)|strong(X))))&
(![X]:((~old(X)&~patient(X))<=>~funny(X)))&
(![X]:((~brave(X)&~curious(X))<=>(curious(X)&funny(X))))&
(((~rich(john)|~generous(john)))<=>(?[X]:((~wise(X)<~>~... | strong(susan) | [] | null | 0 |
If someone is rich then susan is not patient. Everyone who is both humble and not creative is both humble and strong. If fred is brave then someone is either strong or not calm and vice versa. Everyone who is quiet is rich or not happy and vice versa. If lucy is not tall then someone is patient or not old and vice vers... | Lucy is not creative. | entailment | ((?[X]:(rich(X)))=>(~patient(susan)))&
(![X]:((humble(X)&~creative(X))=>(humble(X)&strong(X))))&
((brave(fred))<=>(?[X]:((strong(X)<~>~calm(X)))))&
(![X]:(quiet(X)<=>(rich(X)|~happy(X))))&
((~tall(lucy))<=>(?[X]:((patient(X)|~old(X)))))&
((?[X]:((old(X)&~brave(X))))=>(?[X]:(tall(X))))&
(![X]:(tall(X)<=>patient(X)))&
((... | ~creative(lucy) | [
"p4",
"p6",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2330921897490892836395097
% SZS output start Proof for 2330921897490892836395097
5. ~tall(lucy) <=> ? [X0] : (~old(X0) | patient(X0)) [input p4]
7. ! [X0] : (tall(X0) <=> patient(X0)) [input p6]
16. ! [X0] : ((~patient(X0) | ~generous(X0)) <=> (~patient(X0) <~> creative(X0))) [input p15]
... | 0 |
If someone is both humble and not rich then paul is both strong and patient and vice versa.
If alice is kind or generous then john is strong or not curious.
Everyone who is funny is both not happy and patient.
Everyone who is not humble or calm is both rich and not curious.
Everyone who is not old is both not tall and ... | John is patient. | contradiction | ((?[X]:((humble(X)&~rich(X))))<=>((strong(paul)&patient(paul))))&
(((kind(alice)|generous(alice)))=>((strong(john)|~curious(john))))&
(![X]:(funny(X)=>(~happy(X)&patient(X))))&
(![X]:((~humble(X)|calm(X))=>(rich(X)&~curious(X))))&
(![X]:(~old(X)=>(~tall(X)&~old(X))))&
(![X]:((creative(X)<~>patient(X))<=>(~funny(X)<~>fu... | patient(john) | [
"p0",
"p2",
"p3",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 86740518146254676752111
% SZS output start Proof for 86740518146254676752111
1. ? [X0] : (~rich(X0) & humble(X0)) <=> (patient(paul) & strong(paul)) [input p0]
3. ! [X0] : (funny(X0) => (patient(X0) & ~happy(X0))) [input p2]
4. ! [X0] : ((calm(X0) | ~humble(X0)) => (~curious(X0) & rich(X0... | 0 |
Everyone who is patient or not quiet is both kind and quiet.
Everyone who is not generous or calm is creative.
Everyone who is calm is not generous or not tall and vice versa.
Everyone who is rich is both not curious and not brave and vice versa.
Everyone who is curious or calm is both humble and generous and vice vers... | Paul is strong. | neutral | (![X]:((patient(X)|~quiet(X))=>(kind(X)&quiet(X))))&
(![X]:((~generous(X)|calm(X))=>creative(X)))&
(![X]:(calm(X)<=>(~generous(X)|~tall(X))))&
(![X]:(rich(X)<=>(~curious(X)&~brave(X))))&
(![X]:((curious(X)|calm(X))<=>(humble(X)&generous(X))))&
(![X]:((old(X)|~kind(X))=>(~strong(X)&~creative(X))))&
((?[X]:(~creative(X))... | strong(paul) | [] | null | 0 |
Everyone who is both creative and calm is not happy or not creative and vice versa.
Everyone who is strong or not generous is both calm and not calm.
Everyone who is either quiet or not generous is both wise and not happy.
If someone is not humble then john is both old and tall.
Everyone who is patient or not brave is ... | Fred is not rich. | neutral | (![X]:((creative(X)&calm(X))<=>(~happy(X)|~creative(X))))&
(![X]:((strong(X)|~generous(X))=>(calm(X)&~calm(X))))&
(![X]:((quiet(X)<~>~generous(X))=>(wise(X)&~happy(X))))&
((?[X]:(~humble(X)))=>((old(john)&tall(john))))&
(![X]:((patient(X)|~brave(X))=>~strong(X)))&
(((curious(paul)<~>wise(paul)))=>(?[X]:((humble(X)&calm... | ~rich(fred) | [] | null | 0 |
Everyone who is either not curious or not humble is both not strong and not funny and vice versa. If someone is both strong and not curious then alice is not curious and vice versa. Everyone who is both not calm and tall is not wise. If someone is not tall or curious then someone is both not humble and rich. Everyone w... | Mary is humble. | neutral | (![X]:((~curious(X)<~>~humble(X))<=>(~strong(X)&~funny(X))))&
((?[X]:((strong(X)&~curious(X))))<=>(~curious(alice)))&
(![X]:((~calm(X)&tall(X))=>~wise(X)))&
((?[X]:((~tall(X)|curious(X))))=>(?[X]:((~humble(X)&rich(X)))))&
(![X]:((~patient(X)|strong(X))<=>(~kind(X)&brave(X))))&
(![X]:((generous(X)&brave(X))<=>(~happy(X)... | humble(mary) | [] | null | 0 |
If lucy is either wise or not quiet then lucy is not funny and vice versa.
If someone is both patient and rich then someone is both not quiet and not funny.
If someone is not humble or happy then someone is either not generous or not creative.
Everyone who is either not brave or humble is both curious and not rich.
Eve... | Susan is not humble. | entailment | (((wise(lucy)<~>~quiet(lucy)))<=>(~funny(lucy)))&
((?[X]:((patient(X)&rich(X))))=>(?[X]:((~quiet(X)&~funny(X)))))&
((?[X]:((~humble(X)|happy(X))))=>(?[X]:((~generous(X)<~>~creative(X)))))&
(![X]:((~brave(X)<~>humble(X))=>(curious(X)&~rich(X))))&
(![X]:((curious(X)|~funny(X))=>(patient(X)|~quiet(X))))&
(![X]:((~humble(X... | ~humble(susan) | [
"p3",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2684318103620718910470107
% SZS output start Proof for 2684318103620718910470107
4. ! [X0] : ((~brave(X0) <~> humble(X0)) => (~rich(X0) & curious(X0))) [input p3]
8. ! [X0] : ((~funny(X0) | strong(X0)) <=> (~brave(X0) <~> funny(X0))) [input p7]
9. ! [X0] : (humble(X0) => (~happy(X0) & fun... | 0 |
If alice is both not strong and humble then john is not strong. Everyone who is not calm or patient is both not funny and funny and vice versa. If someone is humble then someone is creative or not strong and vice versa. Everyone who is funny or generous is not calm or not curious and vice versa. If someone is either cu... | John is rich. | entailment | (((~strong(alice)&humble(alice)))=>(~strong(john)))&
(![X]:((~calm(X)|patient(X))<=>(~funny(X)&funny(X))))&
((?[X]:(humble(X)))<=>(?[X]:((creative(X)|~strong(X)))))&
(![X]:((funny(X)|generous(X))<=>(~calm(X)|~curious(X))))&
((?[X]:((curious(X)<~>calm(X))))<=>((old(alice)|~quiet(alice))))&
(![X]:(humble(X)<=>(~generous(... | rich(john) | [
"p1",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 525108332221046861923099
% SZS output start Proof for 525108332221046861923099
2. ! [X0] : ((patient(X0) | ~calm(X0)) <=> (funny(X0) & ~funny(X0))) [input p1]
13. ! [X0] : ((rich(X0) <~> calm(X0)) => (~old(X0) | ~calm(X0))) [input p12]
16. ! [X0] : ((quiet(X0) <~> ~old(X0)) <=> (strong(X0... | 0 |
If paul is both not wise and old then paul is quiet or not patient.
Everyone who is not wise is not rich or humble.
If lucy is both creative and not kind then paul is both not tall and not humble.
Everyone who is not humble is both not creative and patient and vice versa.
Everyone who is both happy and curious is not c... | John is happy. | entailment | (((~wise(paul)&old(paul)))=>((quiet(paul)|~patient(paul))))&
(![X]:(~wise(X)=>(~rich(X)|humble(X))))&
(((creative(lucy)&~kind(lucy)))=>((~tall(paul)&~humble(paul))))&
(![X]:(~humble(X)<=>(~creative(X)&patient(X))))&
(![X]:((happy(X)&curious(X))<=>(~creative(X)|~patient(X))))&
((?[X]:((curious(X)&~humble(X))))<=>(?[X]:(... | happy(john) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2462388132484941163379167
% SZS output start Proof for 2462388132484941163379167
5. ! [X0] : ((curious(X0) & happy(X0)) <=> (~patient(X0) | ~creative(X0))) [input p4]
19. ~creative(john) & funny(john) [input p18]
24. ~happy(john) [input hypothesis]
46. ! [X0] : (((curious(X0) & happy(X0))... | 0 |
Everyone who is both not patient and not curious is rich.
If someone is both humble and not creative then someone is both humble and happy.
Everyone who is either rich or old is not humble and vice versa.
If someone is both calm and not wise then someone is either not wise or quiet.
Everyone who is generous or not funn... | Mary is old. | entailment | (![X]:((~patient(X)&~curious(X))=>rich(X)))&
((?[X]:((humble(X)&~creative(X))))=>(?[X]:((humble(X)&happy(X)))))&
(![X]:((rich(X)<~>old(X))<=>~humble(X)))&
((?[X]:((calm(X)&~wise(X))))=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((generous(X)|~funny(X))<=>(curious(X)|~curious(X))))&
((?[X]:((~curious(X)|~kind(X))))<=>(stron... | old(mary) | [
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7237558684885608582680705
% SZS output start Proof for 7237558684885608582680705
5. ! [X0] : ((~funny(X0) | generous(X0)) <=> (~curious(X0) | curious(X0))) [input p4]
7. ! [X0] : ((funny(X0) <~> generous(X0)) <=> (~old(X0) | ~strong(X0))) [input p6]
12. ! [X0] : (~old(X0) <=> (funny(X0) |... | 0 |
If someone is either humble or not strong then someone is both creative and not calm.
If alice is not generous or curious then lucy is not brave.
Everyone who is old or not quiet is either not patient or not tall and vice versa.
If alice is both not curious and creative then mary is either not kind or strong and vice v... | Mary is kind. | contradiction | ((?[X]:((humble(X)<~>~strong(X))))=>(?[X]:((creative(X)&~calm(X)))))&
(((~generous(alice)|curious(alice)))=>(~brave(lucy)))&
(![X]:((old(X)|~quiet(X))<=>(~patient(X)<~>~tall(X))))&
(((~curious(alice)&creative(alice)))<=>((~kind(mary)<~>strong(mary))))&
((?[X]:(curious(X)))=>((happy(mary)&strong(mary))))&
(![X]:(~happy(... | kind(mary) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 132339809712971167505409
% SZS output start Proof for 132339809712971167505409
6. ! [X0] : (~happy(X0) => (brave(X0) & ~brave(X0))) [input p5]
11. ! [X0] : ((tall(X0) & ~happy(X0)) <=> kind(X0)) [input p10]
23. kind(mary) [input hypothesis]
31. ! [X0] : ((brave(X0) & ~brave(X0)) | happy(X... | 0 |
If john is rich then lucy is either generous or not strong and vice versa.
Everyone who is not generous is curious.
Everyone who is not humble is strong or not patient and vice versa.
If mary is either not funny or not generous then someone is either generous or not old.
If someone is rich then susan is creative and vi... | Paul is not curious. | entailment | ((rich(john))<=>((generous(lucy)<~>~strong(lucy))))&
(![X]:(~generous(X)=>curious(X)))&
(![X]:(~humble(X)<=>(strong(X)|~patient(X))))&
(((~funny(mary)<~>~generous(mary)))=>(?[X]:((generous(X)<~>~old(X)))))&
((?[X]:(rich(X)))<=>(creative(susan)))&
((?[X]:((~funny(X)<~>~patient(X))))=>((~quiet(alice)&~patient(alice))))&
... | ~curious(paul) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 281806939119127450586608
% SZS output start Proof for 281806939119127450586608
8. ! [X0] : (curious(X0) => (wise(X0) & tall(X0))) [input p7]
16. ! [X0] : (~wise(X0) <=> (~calm(X0) | curious(X0))) [input p15]
24. curious(paul) [input hypothesis]
25. ! [X0] : (curious(X0) => wise(X0)) [pure... | 0 |
Everyone who is both humble and not happy is either not curious or not calm and vice versa. If fred is both old and not rich then someone is either generous or not humble. Everyone who is both not patient and old is strong or quiet and vice versa. Everyone who is both old and not rich is both creative and humble. If so... | Susan is happy. | contradiction | (![X]:((humble(X)&~happy(X))<=>(~curious(X)<~>~calm(X))))&
(((old(fred)&~rich(fred)))=>(?[X]:((generous(X)<~>~humble(X)))))&
(![X]:((~patient(X)&old(X))<=>(strong(X)|quiet(X))))&
(![X]:((old(X)&~rich(X))=>(creative(X)&humble(X))))&
((?[X]:((~old(X)<~>patient(X))))=>(?[X]:((kind(X)<~>~happy(X)))))&
(![X]:(~quiet(X)<=>cu... | happy(susan) | [
"p0",
"p5",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8415292859490866831536681
% SZS output start Proof for 8415292859490866831536681
1. ! [X0] : ((~happy(X0) & humble(X0)) <=> (~curious(X0) <~> ~calm(X0))) [input p0]
6. ! [X0] : (~quiet(X0) <=> curious(X0)) [input p5]
7. ! [X0] : (~quiet(X0) => (calm(X0) <~> ~generous(X0))) [input p6]
8. !... | 0 |
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