premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not rich is both rich and strong.
If someone is both creative and funny then john is not rich or strong.
Everyone who is both kind and not kind is either quiet or kind and vice versa.
Everyone who is both rich and not brave is either not brave or funny and vice versa.
Everyone who is either not old or n... | Fred is not strong. | entailment | (![X]:(~rich(X)=>(rich(X)&strong(X))))&
((?[X]:((creative(X)&funny(X))))=>((~rich(john)|strong(john))))&
(![X]:((kind(X)&~kind(X))<=>(quiet(X)<~>kind(X))))&
(![X]:((rich(X)&~brave(X))<=>(~brave(X)<~>funny(X))))&
(![X]:((~old(X)<~>~patient(X))=>tall(X)))&
(![X]:(strong(X)=>(~wise(X)&~rich(X))))&
((?[X]:(~rich(X)))=>((~f... | ~strong(fred) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1304386606624397051641045
% SZS output start Proof for 1304386606624397051641045
1. ! [X0] : (~rich(X0) => (strong(X0) & rich(X0))) [input p0]
6. ! [X0] : (strong(X0) => (~rich(X0) & ~wise(X0))) [input p5]
23. strong(fred) [input hypothesis]
24. ! [X0] : ((strong(X0) & rich(X0)) | rich(X0... | 0 |
If someone is both not creative and rich then someone is old and vice versa.
Everyone who is both not creative and tall is either generous or quiet and vice versa.
If someone is both quiet and brave then susan is not wise and vice versa.
Everyone who is not wise is either not strong or not happy and vice versa.
Everyon... | Alice is not kind. | entailment | ((?[X]:((~creative(X)&rich(X))))<=>(?[X]:(old(X))))&
(![X]:((~creative(X)&tall(X))<=>(generous(X)<~>quiet(X))))&
((?[X]:((quiet(X)&brave(X))))<=>(~wise(susan)))&
(![X]:(~wise(X)<=>(~strong(X)<~>~happy(X))))&
(![X]:((patient(X)<~>~rich(X))=>happy(X)))&
(![X]:((~humble(X)&kind(X))=>(quiet(X)|~patient(X))))&
(((~brave(ali... | ~kind(alice) | [
"p6",
"p7",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5879379335967111787113213
% SZS output start Proof for 5879379335967111787113213
7. (creative(alice) & ~brave(alice)) <=> ~calm(alice) [input p6]
8. ! [X0] : ((patient(X0) <~> ~kind(X0)) => (calm(X0) <~> ~wise(X0))) [input p7]
10. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> (patient(X0) | ~s... | 0 |
If fred is both creative and not creative then someone is not creative.
If john is both not curious and curious then someone is both not curious and not quiet and vice versa.
Everyone who is not strong or creative is either not brave or happy and vice versa.
Everyone who is not brave is either not brave or not generous... | Fred is not creative. | contradiction | (((creative(fred)&~creative(fred)))=>(?[X]:(~creative(X))))&
(((~curious(john)&curious(john)))<=>(?[X]:((~curious(X)&~quiet(X)))))&
(![X]:((~strong(X)|creative(X))<=>(~brave(X)<~>happy(X))))&
(![X]:(~brave(X)<=>(~brave(X)<~>~generous(X))))&
((?[X]:(wise(X)))<=>((kind(john)|~curious(john))))&
(![X]:(~wise(X)<=>~creative... | ~creative(fred) | [
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6948781968895866714983498
% SZS output start Proof for 6948781968895866714983498
6. ! [X0] : (~wise(X0) <=> ~creative(X0)) [input p5]
17. wise(fred) & ~calm(fred) [input p16]
25. ~creative(fred) [input hypothesis]
54. ! [X0] : ((~wise(X0) | creative(X0)) & (~creative(X0) | wise(X0))) [nnf... | 0 |
Everyone who is not happy is both not rich and generous.
Everyone who is not quiet is both wise and not calm and vice versa.
Everyone who is not rich is either not old or rich and vice versa.
If someone is old then someone is calm and vice versa.
If someone is both tall and curious then paul is both rich and not genero... | Paul is strong. | entailment | (![X]:(~happy(X)=>(~rich(X)&generous(X))))&
(![X]:(~quiet(X)<=>(wise(X)&~calm(X))))&
(![X]:(~rich(X)<=>(~old(X)<~>rich(X))))&
((?[X]:(old(X)))<=>(?[X]:(calm(X))))&
((?[X]:((tall(X)&curious(X))))=>((rich(paul)&~generous(paul))))&
(![X]:((generous(X)&patient(X))<=>(~tall(X)<~>old(X))))&
(![X]:((~rich(X)|curious(X))=>(str... | strong(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7301902557531772001931960
% SZS output start Proof for 7301902557531772001931960
9. ! [X0] : (strong(X0) <=> (brave(X0) | ~strong(X0))) [input p8]
24. ~strong(paul) [input hypothesis]
49. ! [X0] : ((strong(X0) | (~brave(X0) & strong(X0))) & ((brave(X0) | ~strong(X0)) | ~strong(X0))) [nnf ... | 0 |
If john is either humble or not old then someone is both not curious and not generous. Everyone who is rich is either strong or not strong. Everyone who is either not calm or quiet is either not calm or humble and vice versa. Everyone who is not tall or not generous is both not patient and tall. Everyone who is curious... | Fred is not brave. | neutral | (((humble(john)<~>~old(john)))=>(?[X]:((~curious(X)&~generous(X)))))&
(![X]:(rich(X)=>(strong(X)<~>~strong(X))))&
(![X]:((~calm(X)<~>quiet(X))<=>(~calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~generous(X))=>(~patient(X)&tall(X))))&
(![X]:((curious(X)|~tall(X))<=>(~tall(X)<~>kind(X))))&
(![X]:((~strong(X)&~calm(X))<=>(~funn... | ~brave(fred) | [] | null | 0 |
Everyone who is kind is happy or not tall. If john is both not quiet and humble then susan is funny. Everyone who is both kind and brave is both wise and funny. Everyone who is not happy or patient is patient and vice versa. Everyone who is both not humble and old is not kind. Everyone who is not humble is not creative... | Lucy is not strong. | neutral | (![X]:(kind(X)=>(happy(X)|~tall(X))))&
(((~quiet(john)&humble(john)))=>(funny(susan)))&
(![X]:((kind(X)&brave(X))=>(wise(X)&funny(X))))&
(![X]:((~happy(X)|patient(X))<=>patient(X)))&
(![X]:((~humble(X)&old(X))=>~kind(X)))&
(![X]:(~humble(X)=>~creative(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~humble(X)&patient(X)))))&
(![X]:... | ~strong(lucy) | [] | null | 0 |
If mary is either not curious or tall then lucy is either not rich or quiet and vice versa.
If john is not calm then alice is not calm and vice versa.
If mary is either brave or not rich then susan is wise and vice versa.
Everyone who is not kind is funny or not quiet and vice versa.
Everyone who is both not quiet and ... | John is not calm. | neutral | (((~curious(mary)<~>tall(mary)))<=>((~rich(lucy)<~>quiet(lucy))))&
((~calm(john))<=>(~calm(alice)))&
(((brave(mary)<~>~rich(mary)))<=>(wise(susan)))&
(![X]:(~kind(X)<=>(funny(X)|~quiet(X))))&
(![X]:((~quiet(X)&quiet(X))=>strong(X)))&
(![X]:((~strong(X)&wise(X))=>(patient(X)<~>~humble(X))))&
(![X]:(old(X)=>(~happy(X)|~c... | ~calm(john) | [] | null | 0 |
Everyone who is strong is both not wise and rich. If lucy is not creative or not strong then susan is either not tall or patient. If someone is not rich then someone is either not humble or kind. If someone is not quiet or not curious then fred is kind or humble and vice versa. Everyone who is either quiet or not rich ... | Fred is not tall. | contradiction | (![X]:(strong(X)=>(~wise(X)&rich(X))))&
(((~creative(lucy)|~strong(lucy)))=>((~tall(susan)<~>patient(susan))))&
((?[X]:(~rich(X)))=>(?[X]:((~humble(X)<~>kind(X)))))&
((?[X]:((~quiet(X)|~curious(X))))<=>((kind(fred)|humble(fred))))&
(![X]:((quiet(X)<~>~rich(X))<=>(~strong(X)|~quiet(X))))&
(((~funny(susan)&humble(susan))... | ~tall(fred) | [
"p0",
"p2",
"p4",
"p6",
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4274292208634502300383
% SZS output start Proof for 4274292208634502300383
1. ! [X0] : (strong(X0) => (rich(X0) & ~wise(X0))) [input p0]
3. ? [X0] : ~rich(X0) => ? [X0] : (~humble(X0) <~> kind(X0)) [input p2]
5. ! [X0] : ((quiet(X0) <~> ~rich(X0)) <=> (~quiet(X0) | ~strong(X0))) [input p4... | 0 |
If someone is not wise or not quiet then someone is both not humble and happy and vice versa.
If john is both creative and patient then someone is calm and vice versa.
Everyone who is not happy or not tall is patient and vice versa.
If someone is either kind or not patient then susan is generous or not patient.
Everyon... | Lucy is not creative. | entailment | ((?[X]:((~wise(X)|~quiet(X))))<=>(?[X]:((~humble(X)&happy(X)))))&
(((creative(john)&patient(john)))<=>(?[X]:(calm(X))))&
(![X]:((~happy(X)|~tall(X))<=>patient(X)))&
((?[X]:((kind(X)<~>~patient(X))))=>((generous(susan)|~patient(susan))))&
(![X]:((~curious(X)|~kind(X))<=>(~kind(X)<~>wise(X))))&
((?[X]:((~rich(X)&~tall(X)... | ~creative(lucy) | [
"p2",
"p5",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7143497755590407468506897
% SZS output start Proof for 7143497755590407468506897
3. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> patient(X0)) [input p2]
6. ? [X0] : (~tall(X0) & ~rich(X0)) <=> ? [X0] : ~calm(X0) [input p5]
16. ! [X0] : (~patient(X0) <=> (~tall(X0) | ~creative(X0))) [input p15]
... | 0 |
Everyone who is either old or creative is creative and vice versa. Everyone who is strong or curious is both brave and not patient. Everyone who is wise or patient is both patient and not brave and vice versa. If mary is either not creative or not generous then someone is both kind and patient. Everyone who is funny or... | Lucy is tall. | neutral | (![X]:((old(X)<~>creative(X))<=>creative(X)))&
(![X]:((strong(X)|curious(X))=>(brave(X)&~patient(X))))&
(![X]:((wise(X)|patient(X))<=>(patient(X)&~brave(X))))&
(((~creative(mary)<~>~generous(mary)))=>(?[X]:((kind(X)&patient(X)))))&
(![X]:((funny(X)|~old(X))=>(~rich(X)&patient(X))))&
(![X]:((funny(X)|~curious(X))<=>(pat... | tall(lucy) | [] | null | 0 |
Everyone who is both not happy and old is strong.
Everyone who is funny or not kind is either happy or humble and vice versa.
Everyone who is not quiet or not brave is happy and vice versa.
Everyone who is humble is either wise or rich and vice versa.
If someone is calm or creative then alice is not generous or strong ... | Lucy is old. | neutral | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((funny(X)|~kind(X))<=>(happy(X)<~>humble(X))))&
(![X]:((~quiet(X)|~brave(X))<=>happy(X)))&
(![X]:(humble(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>((~generous(alice)|strong(alice))))&
((funny(lucy))<=>((humble(alice)&happy(alice))))&
(![X]:(~tall(X)<=>c... | old(lucy) | [] | null | 0 |
If alice is not strong then someone is wise or not quiet.
Everyone who is not patient is wise.
If fred is both old and kind then someone is either old or not creative and vice versa.
Everyone who is not rich or tall is happy.
If someone is quiet or wise then paul is both wise and strong and vice versa.
If john is kind ... | Fred is patient. | entailment | ((~strong(alice))=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:(~patient(X)=>wise(X)))&
(((old(fred)&kind(fred)))<=>(?[X]:((old(X)<~>~creative(X)))))&
(![X]:((~rich(X)|tall(X))=>happy(X)))&
((?[X]:((quiet(X)|wise(X))))<=>((wise(paul)&strong(paul))))&
(((kind(john)|~old(john)))<=>((calm(susan)|creative(susan))))&
(![X]:((curio... | patient(fred) | [
"p1",
"p2",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5153259334324957699396485
% SZS output start Proof for 5153259334324957699396485
2. ! [X0] : (~patient(X0) => wise(X0)) [input p1]
3. (kind(fred) & old(fred)) <=> ? [X0] : (old(X0) <~> ~creative(X0)) [input p2]
5. ? [X0] : (wise(X0) | quiet(X0)) <=> (strong(paul) & wise(paul)) [input p4]
... | 0 |
If paul is not calm then mary is both happy and quiet. Everyone who is both strong and not patient is generous or not funny and vice versa. Everyone who is not wise or not rich is not kind or not curious. If someone is both not strong and creative then someone is not wise or wise. Everyone who is quiet is not kind and ... | Mary is not generous. | entailment | ((~calm(paul))=>((happy(mary)&quiet(mary))))&
(![X]:((strong(X)&~patient(X))<=>(generous(X)|~funny(X))))&
(![X]:((~wise(X)|~rich(X))=>(~kind(X)|~curious(X))))&
((?[X]:((~strong(X)&creative(X))))=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:(quiet(X)<=>~kind(X)))&
(((~funny(alice)|strong(alice)))=>((~funny(mary)<~>quiet(mary)))... | ~generous(mary) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8126989595894482744851558
% SZS output start Proof for 8126989595894482744851558
2. ! [X0] : ((~patient(X0) & strong(X0)) <=> (~funny(X0) | generous(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | ~wise(X0)) => (~curious(X0) | ~kind(X0))) [input p2]
5. ! [X0] : (quiet(X0) <=> ~kind(X0)) [input... | 0 |
Everyone who is not tall or not funny is both not quiet and patient and vice versa.
Everyone who is both not quiet and not patient is either not generous or patient and vice versa.
If paul is either calm or not brave then someone is both humble and not brave and vice versa.
If someone is not kind then susan is either n... | Lucy is rich. | neutral | (![X]:((~tall(X)|~funny(X))<=>(~quiet(X)&patient(X))))&
(![X]:((~quiet(X)&~patient(X))<=>(~generous(X)<~>patient(X))))&
(((calm(paul)<~>~brave(paul)))<=>(?[X]:((humble(X)&~brave(X)))))&
((?[X]:(~kind(X)))<=>((~brave(susan)<~>~old(susan))))&
(![X]:((rich(X)&~humble(X))=>(~calm(X)&tall(X))))&
((?[X]:((~funny(X)&strong(X)... | rich(lucy) | [] | null | 0 |
Everyone who is either generous or not old is not brave or tall and vice versa.
If someone is old or not happy then someone is not generous.
If paul is both quiet and funny then susan is not funny or not brave and vice versa.
If alice is not curious or not tall then fred is both rich and brave.
If someone is either tal... | Mary is not rich. | neutral | (![X]:((generous(X)<~>~old(X))<=>(~brave(X)|tall(X))))&
((?[X]:((old(X)|~happy(X))))=>(?[X]:(~generous(X))))&
(((quiet(paul)&funny(paul)))<=>((~funny(susan)|~brave(susan))))&
(((~curious(alice)|~tall(alice)))=>((rich(fred)&brave(fred))))&
((?[X]:((tall(X)<~>~creative(X))))<=>(?[X]:((~humble(X)<~>~brave(X)))))&
((?[X]:(... | ~rich(mary) | [] | null | 0 |
Everyone who is happy is both not humble and old and vice versa.
Everyone who is not rich or not quiet is both not happy and brave and vice versa.
Everyone who is either not rich or patient is happy or tall and vice versa.
If fred is either tall or not generous then someone is strong and vice versa.
Everyone who is not... | Alice is quiet. | neutral | (![X]:(happy(X)<=>(~humble(X)&old(X))))&
(![X]:((~rich(X)|~quiet(X))<=>(~happy(X)&brave(X))))&
(![X]:((~rich(X)<~>patient(X))<=>(happy(X)|tall(X))))&
(((tall(fred)<~>~generous(fred)))<=>(?[X]:(strong(X))))&
(![X]:((~patient(X)|calm(X))<=>(~creative(X)<~>~old(X))))&
(![X]:((humble(X)&patient(X))<=>(~patient(X)&kind(X)))... | quiet(alice) | [] | null | 0 |
If someone is both not calm and not creative then susan is tall and vice versa.
Everyone who is both curious and kind is patient or happy.
Everyone who is either quiet or humble is happy.
If someone is both quiet and not rich then mary is either patient or not quiet and vice versa.
If someone is either not strong or wi... | Mary is not humble. | entailment | ((?[X]:((~calm(X)&~creative(X))))<=>(tall(susan)))&
(![X]:((curious(X)&kind(X))=>(patient(X)|happy(X))))&
(![X]:((quiet(X)<~>humble(X))=>happy(X)))&
((?[X]:((quiet(X)&~rich(X))))<=>((patient(mary)<~>~quiet(mary))))&
((?[X]:((~strong(X)<~>wise(X))))=>((~happy(susan)&generous(susan))))&
(![X]:((~generous(X)|~wise(X))=>(~... | ~humble(mary) | [
"p1",
"p5",
"p6",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1702633079104900595622942
% SZS output start Proof for 1702633079104900595622942
2. ! [X0] : ((kind(X0) & curious(X0)) => (happy(X0) | patient(X0))) [input p1]
6. ! [X0] : ((~wise(X0) | ~generous(X0)) => (brave(X0) & ~happy(X0))) [input p5]
7. ! [X0] : ((generous(X0) <~> funny(X0)) <=> (~... | 0 |
Everyone who is both wise and kind is either not old or brave.
Everyone who is not generous is calm and vice versa.
Everyone who is either not generous or not rich is not kind and vice versa.
If paul is either generous or patient then someone is not tall or not generous and vice versa.
If someone is strong then mary is... | Fred is creative. | entailment | (![X]:((wise(X)&kind(X))=>(~old(X)<~>brave(X))))&
(![X]:(~generous(X)<=>calm(X)))&
(![X]:((~generous(X)<~>~rich(X))<=>~kind(X)))&
(((generous(paul)<~>patient(paul)))<=>(?[X]:((~tall(X)|~generous(X)))))&
((?[X]:(strong(X)))=>((curious(mary)<~>~calm(mary))))&
(![X]:(~brave(X)=>(~happy(X)|~funny(X))))&
(![X]:((~wise(X)|br... | creative(fred) | [
"p1",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5214200179215874735230460
% SZS output start Proof for 5214200179215874735230460
2. ! [X0] : (~generous(X0) <=> calm(X0)) [input p1]
9. ? [X0] : (generous(X0) | happy(X0)) => creative(fred) [input p8]
21. ~calm(fred) [input p20]
25. ~creative(fred) [input hypothesis]
32. creative(fred) | ... | 0 |
Everyone who is humble or not happy is either not happy or not generous and vice versa. If lucy is strong or quiet then someone is creative and vice versa. Everyone who is curious or not happy is either generous or not generous. Everyone who is both quiet and not strong is either not calm or funny and vice versa. Every... | Alice is not curious. | neutral | (![X]:((humble(X)|~happy(X))<=>(~happy(X)<~>~generous(X))))&
(((strong(lucy)|quiet(lucy)))<=>(?[X]:(creative(X))))&
(![X]:((curious(X)|~happy(X))=>(generous(X)<~>~generous(X))))&
(![X]:((quiet(X)&~strong(X))<=>(~calm(X)<~>funny(X))))&
(![X]:((~wise(X)<~>patient(X))<=>(patient(X)|~creative(X))))&
(![X]:(curious(X)<=>bra... | ~curious(alice) | [] | null | 0 |
If someone is both happy and strong then fred is both not curious and not tall and vice versa.
Everyone who is quiet or rich is not calm and vice versa.
If someone is not happy or not creative then paul is both curious and not calm.
Everyone who is kind is patient.
Everyone who is both rich and not curious is not tall ... | Lucy is generous. | neutral | ((?[X]:((happy(X)&strong(X))))<=>((~curious(fred)&~tall(fred))))&
(![X]:((quiet(X)|rich(X))<=>~calm(X)))&
((?[X]:((~happy(X)|~creative(X))))=>((curious(paul)&~calm(paul))))&
(![X]:(kind(X)=>patient(X)))&
(![X]:((rich(X)&~curious(X))<=>~tall(X)))&
((?[X]:((tall(X)&~tall(X))))<=>(~patient(paul)))&
(![X]:((patient(X)<~>ol... | generous(lucy) | [] | null | 0 |
Everyone who is not tall is happy. Everyone who is brave or not kind is not kind or rich and vice versa. Everyone who is either not old or wise is calm or brave and vice versa. Everyone who is not quiet or not strong is either funny or wise and vice versa. Everyone who is either curious or not strong is tall or not pat... | Lucy is happy. | contradiction | (![X]:(~tall(X)=>happy(X)))&
(![X]:((brave(X)|~kind(X))<=>(~kind(X)|rich(X))))&
(![X]:((~old(X)<~>wise(X))<=>(calm(X)|brave(X))))&
(![X]:((~quiet(X)|~strong(X))<=>(funny(X)<~>wise(X))))&
(![X]:((curious(X)<~>~strong(X))=>(tall(X)|~patient(X))))&
(![X]:((calm(X)|~old(X))<=>(~curious(X)|~brave(X))))&
(![X]:(~brave(X)=>(~... | happy(lucy) | [
"p2",
"p5",
"p6",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7920003182241995060207142
% SZS output start Proof for 7920003182241995060207142
3. ! [X0] : ((~old(X0) <~> wise(X0)) <=> (brave(X0) | calm(X0))) [input p2]
6. ! [X0] : ((~old(X0) | calm(X0)) <=> (~brave(X0) | ~curious(X0))) [input p5]
7. ! [X0] : (~brave(X0) => (~tall(X0) & ~brave(X0))) ... | 0 |
Everyone who is kind is either not quiet or kind and vice versa.
If someone is not calm then mary is not humble or rich.
Everyone who is humble or not funny is both funny and not strong.
If paul is either calm or rich then lucy is both wise and not tall and vice versa.
If someone is generous then someone is not humble ... | Susan is not curious. | entailment | (![X]:(kind(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:(~calm(X)))=>((~humble(mary)|rich(mary))))&
(![X]:((humble(X)|~funny(X))=>(funny(X)&~strong(X))))&
(((calm(paul)<~>rich(paul)))<=>((wise(lucy)&~tall(lucy))))&
((?[X]:(generous(X)))<=>(?[X]:(~humble(X))))&
(((~wise(mary)<~>humble(mary)))<=>((~old(susan)&~brave(susan))))&
... | ~curious(susan) | [
"p0",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5390119358786222875690580
% SZS output start Proof for 5390119358786222875690580
1. ! [X0] : (kind(X0) <=> (~quiet(X0) <~> kind(X0))) [input p0]
9. ! [X0] : (quiet(X0) => (~tall(X0) & ~strong(X0))) [input p8]
11. ! [X0] : (curious(X0) => (~patient(X0) & strong(X0))) [input p10]
23. curiou... | 0 |
Everyone who is both funny and not rich is both not wise and not kind.
If lucy is patient or not generous then john is both wise and not happy and vice versa.
If someone is either not quiet or not funny then someone is funny or not old.
If someone is not humble then someone is not creative.
Everyone who is either tall ... | Mary is kind. | entailment | (![X]:((funny(X)&~rich(X))=>(~wise(X)&~kind(X))))&
(((patient(lucy)|~generous(lucy)))<=>((wise(john)&~happy(john))))&
((?[X]:((~quiet(X)<~>~funny(X))))=>(?[X]:((funny(X)|~old(X)))))&
((?[X]:(~humble(X)))=>(?[X]:(~creative(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(old(X)<~>generous(X))))&
(![X]:((funny(X)&patient(X))=>g... | kind(mary) | [
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6792249066181925072627945
% SZS output start Proof for 6792249066181925072627945
8. ! [X0] : ((curious(X0) | ~calm(X0)) <=> (~curious(X0) | ~patient(X0))) [input p7]
11. ~kind(mary) => ? [X0] : (~calm(X0) & patient(X0)) [input p10]
12. ! [X0] : (~patient(X0) <=> (~curious(X0) | patient(X0... | 0 |
Everyone who is both happy and not curious is tall and vice versa.
If paul is brave or calm then fred is both calm and brave and vice versa.
If someone is funny or old then someone is either not rich or wise and vice versa.
Everyone who is both generous and not curious is curious or strong and vice versa.
Everyone who ... | Susan is generous. | contradiction | (![X]:((happy(X)&~curious(X))<=>tall(X)))&
(((brave(paul)|calm(paul)))<=>((calm(fred)&brave(fred))))&
((?[X]:((funny(X)|old(X))))<=>(?[X]:((~rich(X)<~>wise(X)))))&
(![X]:((generous(X)&~curious(X))<=>(curious(X)|strong(X))))&
(![X]:(patient(X)=>(wise(X)|~humble(X))))&
(![X]:((wise(X)|funny(X))=>(humble(X)|~happy(X))))&
... | generous(susan) | [
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7515503952745731679296052
% SZS output start Proof for 7515503952745731679296052
5. ! [X0] : (patient(X0) => (~humble(X0) | wise(X0))) [input p4]
6. ! [X0] : ((funny(X0) | wise(X0)) => (~happy(X0) | humble(X0))) [input p5]
9. ! [X0] : ((brave(X0) & ~calm(X0)) <=> ~humble(X0)) [input p8]
1... | 0 |
If lucy is both not quiet and not calm then someone is both not patient and rich and vice versa. Everyone who is either not quiet or not generous is either brave or humble and vice versa. Everyone who is either not quiet or wise is either curious or patient. Everyone who is not funny or not curious is both rich and bra... | Mary is happy. | neutral | (((~quiet(lucy)&~calm(lucy)))<=>(?[X]:((~patient(X)&rich(X)))))&
(![X]:((~quiet(X)<~>~generous(X))<=>(brave(X)<~>humble(X))))&
(![X]:((~quiet(X)<~>wise(X))=>(curious(X)<~>patient(X))))&
(![X]:((~funny(X)|~curious(X))=>(rich(X)&brave(X))))&
(![X]:((curious(X)<~>~brave(X))=>(~patient(X)|rich(X))))&
(![X]:((patient(X)&hap... | happy(mary) | [] | null | 0 |
If someone is not happy or not quiet then someone is either not wise or happy.
Everyone who is both rich and not old is not funny.
Everyone who is not curious or not strong is generous or old and vice versa.
Everyone who is not tall is tall or not generous.
Everyone who is not quiet or not kind is not quiet or not calm... | John is not patient. | contradiction | ((?[X]:((~happy(X)|~quiet(X))))=>(?[X]:((~wise(X)<~>happy(X)))))&
(![X]:((rich(X)&~old(X))=>~funny(X)))&
(![X]:((~curious(X)|~strong(X))<=>(generous(X)|old(X))))&
(![X]:(~tall(X)=>(tall(X)|~generous(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(~quiet(X)|~calm(X))))&
((?[X]:((~curious(X)&calm(X))))<=>((rich(paul)<~>quiet(paul)... | ~patient(john) | [
"p7",
"p11",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2355818829147661716239355
% SZS output start Proof for 2355818829147661716239355
8. ! [X0] : (happy(X0) <=> (~kind(X0) | wise(X0))) [input p7]
12. (~rich(john) & creative(john)) <=> ? [X0] : funny(X0) [input p11]
15. ! [X0] : ((~rich(X0) | quiet(X0)) <=> patient(X0)) [input p14]
16. ! [X0... | 0 |
If paul is either not wise or not happy then lucy is both not humble and brave.
If lucy is both kind and humble then fred is patient or quiet.
If someone is either curious or old then someone is either calm or not tall.
If someone is both brave and not curious then john is either curious or not curious.
Everyone who is... | Fred is generous. | neutral | (((~wise(paul)<~>~happy(paul)))=>((~humble(lucy)&brave(lucy))))&
(((kind(lucy)&humble(lucy)))=>((patient(fred)|quiet(fred))))&
((?[X]:((curious(X)<~>old(X))))=>(?[X]:((calm(X)<~>~tall(X)))))&
((?[X]:((brave(X)&~curious(X))))=>((curious(john)<~>~curious(john))))&
(![X]:(~tall(X)<=>(funny(X)<~>~rich(X))))&
((~brave(fred)... | generous(fred) | [] | null | 0 |
If mary is not strong or wise then susan is humble and vice versa.
If lucy is not creative then fred is not wise or not happy.
If someone is not old then fred is kind or strong.
If someone is both not strong and kind then susan is not generous and vice versa.
Everyone who is both not curious and not wise is either curi... | Fred is wise. | neutral | (((~strong(mary)|wise(mary)))<=>(humble(susan)))&
((~creative(lucy))=>((~wise(fred)|~happy(fred))))&
((?[X]:(~old(X)))=>((kind(fred)|strong(fred))))&
((?[X]:((~strong(X)&kind(X))))<=>(~generous(susan)))&
(![X]:((~curious(X)&~wise(X))=>(curious(X)<~>funny(X))))&
(![X]:((~quiet(X)|~happy(X))<=>(tall(X)|strong(X))))&
(((s... | wise(fred) | [] | null | 0 |
Everyone who is either curious or quiet is both wise and not brave. Everyone who is not happy or patient is not curious or not generous and vice versa. Everyone who is not patient or curious is not creative and vice versa. Everyone who is patient or not calm is tall. If susan is not kind or not patient then someone is ... | Susan is not patient. | contradiction | (![X]:((curious(X)<~>quiet(X))=>(wise(X)&~brave(X))))&
(![X]:((~happy(X)|patient(X))<=>(~curious(X)|~generous(X))))&
(![X]:((~patient(X)|curious(X))<=>~creative(X)))&
(![X]:((patient(X)|~calm(X))=>tall(X)))&
(((~kind(susan)|~patient(susan)))<=>(?[X]:((~quiet(X)<~>happy(X)))))&
((~quiet(paul))=>(?[X]:((~brave(X)|~genero... | ~patient(susan) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4436817237029676630176505
% SZS output start Proof for 4436817237029676630176505
3. ! [X0] : ((curious(X0) | ~patient(X0)) <=> ~creative(X0)) [input p2]
13. ! [X0] : (~patient(X0) <=> (creative(X0) & ~strong(X0))) [input p12]
22. ~patient(susan) [input hypothesis]
37. ! [X0] : (((curious(... | 0 |
If someone is funny or not calm then alice is not rich or strong and vice versa. Everyone who is both not creative and not funny is either wise or funny and vice versa. If paul is not old or brave then someone is not calm and vice versa. If lucy is brave or not rich then mary is either not quiet or generous and vice ve... | Paul is quiet. | contradiction | ((?[X]:((funny(X)|~calm(X))))<=>((~rich(alice)|strong(alice))))&
(![X]:((~creative(X)&~funny(X))<=>(wise(X)<~>funny(X))))&
(((~old(paul)|brave(paul)))<=>(?[X]:(~calm(X))))&
(((brave(lucy)|~rich(lucy)))<=>((~quiet(mary)<~>generous(mary))))&
(![X]:((~wise(X)|~funny(X))=>(generous(X)<~>rich(X))))&
(![X]:((~curious(X)<~>pa... | quiet(paul) | [
"p1",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 212341824239228024626826
% SZS output start Proof for 212341824239228024626826
2. ! [X0] : ((~funny(X0) & ~creative(X0)) <=> (wise(X0) <~> funny(X0))) [input p1]
9. ! [X0] : ((~funny(X0) | ~kind(X0)) => (~funny(X0) <~> quiet(X0))) [input p8]
11. ! [X0] : (humble(X0) <=> (~patient(X0) & ~w... | 0 |
If susan is both not rich and not kind then someone is not wise or quiet.
If someone is either not old or kind then alice is either brave or old and vice versa.
If fred is either old or patient then someone is wise or not kind and vice versa.
If susan is both not humble and not creative then someone is not brave.
If so... | Susan is patient. | entailment | (((~rich(susan)&~kind(susan)))=>(?[X]:((~wise(X)|quiet(X)))))&
((?[X]:((~old(X)<~>kind(X))))<=>((brave(alice)<~>old(alice))))&
(((old(fred)<~>patient(fred)))<=>(?[X]:((wise(X)|~kind(X)))))&
(((~humble(susan)&~creative(susan)))=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)&brave(X))))=>((~tall(alice)|wise(alice))))&
((?[X]:(... | patient(susan) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6446387206682691037530878
% SZS output start Proof for 6446387206682691037530878
20. patient(susan) & calm(susan) [input p19]
25. ~patient(susan) [input hypothesis]
123. patient(susan) [cnf transformation 20]
131. ~patient(susan) [cnf transformation 25]
319. $false [subsumption resolution... | 0 |
If fred is either old or not tall then paul is not patient or not strong and vice versa.
If lucy is either curious or generous then someone is both not curious and not funny.
Everyone who is both happy and wise is both not quiet and quiet.
Everyone who is not wise or wise is not strong.
Everyone who is not kind or not ... | Lucy is old. | neutral | (((old(fred)<~>~tall(fred)))<=>((~patient(paul)|~strong(paul))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:((~curious(X)&~funny(X)))))&
(![X]:((happy(X)&wise(X))=>(~quiet(X)&quiet(X))))&
(![X]:((~wise(X)|wise(X))=>~strong(X)))&
(![X]:((~kind(X)|~creative(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~curious(X)=>(~creative(X)... | old(lucy) | [] | null | 0 |
If john is not rich or not quiet then someone is curious or not quiet and vice versa.
Everyone who is either curious or not wise is either not kind or not old.
If paul is either not happy or not calm then john is both not curious and happy and vice versa.
If someone is generous then mary is both not quiet and kind.
If ... | John is generous. | neutral | (((~rich(john)|~quiet(john)))<=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:((curious(X)<~>~wise(X))=>(~kind(X)<~>~old(X))))&
(((~happy(paul)<~>~calm(paul)))<=>((~curious(john)&happy(john))))&
((?[X]:(generous(X)))=>((~quiet(mary)&kind(mary))))&
(((~rich(lucy)|~patient(lucy)))<=>(~humble(mary)))&
(![X]:((~curious(X)<~>old(... | generous(john) | [] | null | 0 |
Everyone who is patient is both creative and not patient and vice versa. Everyone who is both not brave and humble is brave and vice versa. If someone is either funny or not patient then someone is both not patient and old and vice versa. Everyone who is both funny and not kind is both humble and strong. If lucy is eit... | Alice is not tall. | neutral | (![X]:(patient(X)<=>(creative(X)&~patient(X))))&
(![X]:((~brave(X)&humble(X))<=>brave(X)))&
((?[X]:((funny(X)<~>~patient(X))))<=>(?[X]:((~patient(X)&old(X)))))&
(![X]:((funny(X)&~kind(X))=>(humble(X)&strong(X))))&
(((~brave(lucy)<~>brave(lucy)))<=>((curious(mary)&quiet(mary))))&
(![X]:(generous(X)=>(~old(X)<~>~tall(X))... | ~tall(alice) | [] | null | 0 |
Everyone who is either humble or not generous is both creative and not generous.
If someone is not funny then someone is both not generous and tall and vice versa.
Everyone who is not curious is brave or funny.
If alice is rich or not humble then someone is brave or not rich and vice versa.
If john is both wise and not... | Alice is rich. | contradiction | (![X]:((humble(X)<~>~generous(X))=>(creative(X)&~generous(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((~generous(X)&tall(X)))))&
(![X]:(~curious(X)=>(brave(X)|funny(X))))&
(((rich(alice)|~humble(alice)))<=>(?[X]:((brave(X)|~rich(X)))))&
(((wise(john)&~funny(john)))<=>((quiet(john)<~>~rich(john))))&
(![X]:(curious(X)<=>(~creati... | rich(alice) | [
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3685478068634743999277801
% SZS output start Proof for 3685478068634743999277801
6. ! [X0] : (curious(X0) <=> (~curious(X0) | ~creative(X0))) [input p5]
7. ! [X0] : ((kind(X0) & calm(X0)) <=> (~rich(X0) <~> ~calm(X0))) [input p6]
8. ! [X0] : ((old(X0) | ~old(X0)) => (~curious(X0) <~> kind... | 0 |
Everyone who is both not patient and happy is not tall and vice versa. If someone is tall or rich then susan is not old or not curious. Everyone who is not calm or not brave is both happy and not wise and vice versa. Everyone who is either happy or not creative is either not calm or not curious and vice versa. If fred ... | Susan is not funny. | neutral | (![X]:((~patient(X)&happy(X))<=>~tall(X)))&
((?[X]:((tall(X)|rich(X))))=>((~old(susan)|~curious(susan))))&
(![X]:((~calm(X)|~brave(X))<=>(happy(X)&~wise(X))))&
(![X]:((happy(X)<~>~creative(X))<=>(~calm(X)<~>~curious(X))))&
(((~funny(fred)|~kind(fred)))=>(?[X]:(funny(X))))&
(![X]:((~kind(X)|~quiet(X))<=>(~humble(X)&happ... | ~funny(susan) | [] | null | 0 |
Everyone who is tall or funny is funny.
If susan is not tall or strong then someone is not strong or not humble and vice versa.
If someone is either not kind or generous then john is not humble.
Everyone who is both quiet and not rich is not curious.
If john is humble then lucy is either rich or patient.
If fred is eit... | Mary is humble. | contradiction | (![X]:((tall(X)|funny(X))=>funny(X)))&
(((~tall(susan)|strong(susan)))<=>(?[X]:((~strong(X)|~humble(X)))))&
((?[X]:((~kind(X)<~>generous(X))))=>(~humble(john)))&
(![X]:((quiet(X)&~rich(X))=>~curious(X)))&
((humble(john))=>((rich(lucy)<~>patient(lucy))))&
(((~humble(fred)<~>~quiet(fred)))=>((happy(mary)&~strong(mary))))... | humble(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8541227494936683919171675
% SZS output start Proof for 8541227494936683919171675
9. ! [X0] : ((~happy(X0) | happy(X0)) => ~humble(X0)) [input p8]
24. humble(mary) [input hypothesis]
35. ! [X0] : (~humble(X0) | (happy(X0) & ~happy(X0))) [ennf transformation 9]
90. ~humble(X0) | ~happy(X0) ... | 0 |
Everyone who is funny is either strong or not patient.
If fred is not funny then someone is either not old or tall.
If someone is strong then susan is not curious and vice versa.
If susan is both wise and not brave then someone is wise and vice versa.
If someone is not old or wise then paul is tall.
If someone is not c... | John is funny. | contradiction | (![X]:(funny(X)=>(strong(X)<~>~patient(X))))&
((~funny(fred))=>(?[X]:((~old(X)<~>tall(X)))))&
((?[X]:(strong(X)))<=>(~curious(susan)))&
(((wise(susan)&~brave(susan)))<=>(?[X]:(wise(X))))&
((?[X]:((~old(X)|wise(X))))=>(tall(paul)))&
((?[X]:(~creative(X)))=>((~rich(john)|~funny(john))))&
(((kind(john)<~>~creative(john)))... | funny(john) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5442280842512264372594039
% SZS output start Proof for 5442280842512264372594039
1. ! [X0] : (funny(X0) => (strong(X0) <~> ~patient(X0))) [input p0]
12. ! [X0] : (~patient(X0) <=> (patient(X0) & strong(X0))) [input p11]
23. funny(john) [input hypothesis]
28. ! [X0] : ((strong(X0) <~> ~pat... | 0 |
Everyone who is old is either kind or brave.
Everyone who is either not wise or not patient is not patient and vice versa.
Everyone who is either not quiet or curious is either humble or not old.
If paul is brave or not generous then susan is generous.
Everyone who is quiet is not tall.
If someone is not strong or kind... | John is creative. | entailment | (![X]:(old(X)=>(kind(X)<~>brave(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>~patient(X)))&
(![X]:((~quiet(X)<~>curious(X))=>(humble(X)<~>~old(X))))&
(((brave(paul)|~generous(paul)))=>(generous(susan)))&
(![X]:(quiet(X)=>~tall(X)))&
((?[X]:((~strong(X)|kind(X))))<=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((humble(X)&~calm(X))... | creative(john) | [
"p1",
"p8",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 891908572025292795837147
% SZS output start Proof for 891908572025292795837147
2. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> ~patient(X0)) [input p1]
9. ! [X0] : ((generous(X0) <~> humble(X0)) => (~funny(X0) & generous(X0))) [input p8]
13. ! [X0] : ((~tall(X0) & creative(X0)) <=> calm(X0)... | 0 |
If someone is both not creative and not calm then someone is quiet or not curious and vice versa.
Everyone who is not calm is rich or strong.
Everyone who is quiet or not wise is not wise or not funny.
If john is not creative or not generous then someone is not rich or not quiet and vice versa.
If someone is strong the... | Alice is curious. | neutral | ((?[X]:((~creative(X)&~calm(X))))<=>(?[X]:((quiet(X)|~curious(X)))))&
(![X]:(~calm(X)=>(rich(X)|strong(X))))&
(![X]:((quiet(X)|~wise(X))=>(~wise(X)|~funny(X))))&
(((~creative(john)|~generous(john)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
((?[X]:(strong(X)))<=>((~quiet(paul)|~curious(paul))))&
((?[X]:((old(X)|kind(X))))=>(?[... | curious(alice) | [] | null | 0 |
If someone is not old or not calm then someone is rich or not brave.
Everyone who is curious or patient is both humble and not humble.
Everyone who is both funny and not wise is creative or patient and vice versa.
Everyone who is not tall is funny or humble and vice versa.
Everyone who is happy or generous is both stro... | John is patient. | contradiction | ((?[X]:((~old(X)|~calm(X))))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:((curious(X)|patient(X))=>(humble(X)&~humble(X))))&
(![X]:((funny(X)&~wise(X))<=>(creative(X)|patient(X))))&
(![X]:(~tall(X)<=>(funny(X)|humble(X))))&
(![X]:((happy(X)|generous(X))=>(strong(X)&generous(X))))&
(((creative(lucy)|strong(lucy)))<=>((~funny(... | patient(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6470275720187258928378807
% SZS output start Proof for 6470275720187258928378807
2. ! [X0] : ((patient(X0) | curious(X0)) => (~humble(X0) & humble(X0))) [input p1]
23. patient(john) [input hypothesis]
28. ! [X0] : ((~humble(X0) & humble(X0)) | (~patient(X0) & ~curious(X0))) [ennf transfor... | 0 |
If john is either funny or tall then mary is both generous and tall and vice versa. Everyone who is both not kind and rich is either not calm or tall. If someone is humble then john is both brave and not strong. If someone is humble or not quiet then fred is tall. If someone is happy or not calm then lucy is both rich ... | Alice is wise. | entailment | (((funny(john)<~>tall(john)))<=>((generous(mary)&tall(mary))))&
(![X]:((~kind(X)&rich(X))=>(~calm(X)<~>tall(X))))&
((?[X]:(humble(X)))=>((brave(john)&~strong(john))))&
((?[X]:((humble(X)|~quiet(X))))=>(tall(fred)))&
((?[X]:((happy(X)|~calm(X))))=>((rich(lucy)&~kind(lucy))))&
((quiet(lucy))<=>((patient(alice)|~calm(alic... | wise(alice) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3252567482518473778123013
% SZS output start Proof for 3252567482518473778123013
8. ! [X0] : (~wise(X0) => (~strong(X0) & ~calm(X0))) [input p7]
12. ! [X0] : ((~creative(X0) <~> creative(X0)) => (calm(X0) <~> wise(X0))) [input p11]
24. ~wise(alice) [input hypothesis]
37. ! [X0] : ((~stron... | 0 |
If paul is not tall then susan is quiet or creative.
Everyone who is both generous and not brave is either calm or not old.
If someone is not old or not generous then someone is happy.
If alice is both not kind and curious then someone is both patient and not quiet.
If lucy is creative or not strong then susan is both ... | John is not funny. | contradiction | ((~tall(paul))=>((quiet(susan)|creative(susan))))&
(![X]:((generous(X)&~brave(X))=>(calm(X)<~>~old(X))))&
((?[X]:((~old(X)|~generous(X))))=>(?[X]:(happy(X))))&
(((~kind(alice)&curious(alice)))=>(?[X]:((patient(X)&~quiet(X)))))&
(((creative(lucy)|~strong(lucy)))=>((happy(susan)&brave(susan))))&
(![X]:((generous(X)|curio... | ~funny(john) | [
"p5",
"p7",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 83502609403329278851134
% SZS output start Proof for 83502609403329278851134
6. ! [X0] : ((curious(X0) | generous(X0)) <=> (~patient(X0) | ~humble(X0))) [input p5]
8. ! [X0] : ((creative(X0) & ~funny(X0)) <=> generous(X0)) [input p7]
10. ? [X0] : (brave(X0) & ~brave(X0)) <=> ? [X0] : (pat... | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa. Everyone who is rich or strong is both not curious and not humble and vice versa. If susan is both humble and quiet then mary is creative or kind and vice versa. Everyone who is either brave or not brave is both not strong and gen... | Mary is not humble. | neutral | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~curious(X)&~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>(~happy(X)|curious(X))))&
(![X]:((happy(X)<~>gene... | ~humble(mary) | [] | null | 0 |
Everyone who is brave or not generous is not patient.
If someone is either not creative or not strong then alice is both creative and not rich and vice versa.
If susan is both not kind and not happy then someone is both strong and curious and vice versa.
If john is both old and not generous then someone is either tall ... | Paul is humble. | contradiction | (![X]:((brave(X)|~generous(X))=>~patient(X)))&
((?[X]:((~creative(X)<~>~strong(X))))<=>((creative(alice)&~rich(alice))))&
(((~kind(susan)&~happy(susan)))<=>(?[X]:((strong(X)&curious(X)))))&
(((old(john)&~generous(john)))=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:(patient(X)<=>(calm(X)<~>curious(X))))&
((?[X]:(~strong(X)))=... | humble(paul) | [
"p6",
"p8",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4607696010194509858466308
% SZS output start Proof for 4607696010194509858466308
7. ? [X0] : ~calm(X0) <=> ~patient(john) [input p6]
9. ! [X0] : ((creative(X0) | ~humble(X0)) <=> (~generous(X0) | generous(X0))) [input p8]
11. ! [X0] : ((~creative(X0) <~> humble(X0)) => ~calm(X0)) [input p... | 0 |
Everyone who is either not quiet or not creative is wise or generous.
Everyone who is both rich and happy is either happy or not happy.
Everyone who is not old is both not curious and old and vice versa.
Everyone who is patient is either kind or curious.
If someone is both strong and not kind then lucy is either not cr... | Paul is quiet. | entailment | (![X]:((~quiet(X)<~>~creative(X))=>(wise(X)|generous(X))))&
(![X]:((rich(X)&happy(X))=>(happy(X)<~>~happy(X))))&
(![X]:(~old(X)<=>(~curious(X)&old(X))))&
(![X]:(patient(X)=>(kind(X)<~>curious(X))))&
((?[X]:((strong(X)&~kind(X))))<=>((~creative(lucy)<~>quiet(lucy))))&
(![X]:((generous(X)&strong(X))<=>(creative(X)|wise(X... | quiet(paul) | [
"p2",
"p4",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 687511447392156939844032
% SZS output start Proof for 687511447392156939844032
3. ! [X0] : (~old(X0) <=> (old(X0) & ~curious(X0))) [input p2]
5. ? [X0] : (~kind(X0) & strong(X0)) <=> (~creative(lucy) <~> quiet(lucy)) [input p4]
6. ! [X0] : ((strong(X0) & generous(X0)) <=> (wise(X0) | crea... | 0 |
Everyone who is not curious is not funny and vice versa.
Everyone who is both funny and quiet is rich or happy and vice versa.
Everyone who is both not kind and not humble is either quiet or not strong.
Everyone who is both not curious and not strong is not humble and vice versa.
Everyone who is happy or old is both ge... | Mary is not happy. | entailment | (![X]:(~curious(X)<=>~funny(X)))&
(![X]:((funny(X)&quiet(X))<=>(rich(X)|happy(X))))&
(![X]:((~kind(X)&~humble(X))=>(quiet(X)<~>~strong(X))))&
(![X]:((~curious(X)&~strong(X))<=>~humble(X)))&
(![X]:((happy(X)|old(X))=>(generous(X)&strong(X))))&
((?[X]:((wise(X)<~>~calm(X))))<=>(?[X]:((kind(X)&~brave(X)))))&
(((~curious(s... | ~happy(mary) | [
"p0",
"p1",
"p3",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1089108457735478477432741
% SZS output start Proof for 1089108457735478477432741
1. ! [X0] : (~curious(X0) <=> ~funny(X0)) [input p0]
2. ! [X0] : ((quiet(X0) & funny(X0)) <=> (happy(X0) | rich(X0))) [input p1]
4. ! [X0] : ((~strong(X0) & ~curious(X0)) <=> ~humble(X0)) [input p3]
9. (~tall... | 0 |
If someone is both not wise and patient then lucy is either creative or not tall and vice versa.
Everyone who is both not happy and not tall is wise and vice versa.
Everyone who is not old is quiet.
Everyone who is either not tall or old is funny or rich and vice versa.
Everyone who is creative or calm is strong.
Every... | Paul is not quiet. | neutral | ((?[X]:((~wise(X)&patient(X))))<=>((creative(lucy)<~>~tall(lucy))))&
(![X]:((~happy(X)&~tall(X))<=>wise(X)))&
(![X]:(~old(X)=>quiet(X)))&
(![X]:((~tall(X)<~>old(X))<=>(funny(X)|rich(X))))&
(![X]:((creative(X)|calm(X))=>strong(X)))&
(![X]:((~quiet(X)|patient(X))<=>(~rich(X)|~creative(X))))&
(((~creative(mary)|~strong(ma... | ~quiet(paul) | [] | null | 0 |
If someone is happy then fred is both old and not wise.
If someone is not curious then john is not strong or not tall.
If someone is not generous or kind then someone is both not quiet and humble.
Everyone who is either not brave or generous is not generous and vice versa.
If susan is both not rich and not creative the... | John is calm. | contradiction | ((?[X]:(happy(X)))=>((old(fred)&~wise(fred))))&
((?[X]:(~curious(X)))=>((~strong(john)|~tall(john))))&
((?[X]:((~generous(X)|kind(X))))=>(?[X]:((~quiet(X)&humble(X)))))&
(![X]:((~brave(X)<~>generous(X))<=>~generous(X)))&
(((~rich(susan)&~creative(susan)))=>(?[X]:((curious(X)<~>kind(X)))))&
(((curious(alice)<~>kind(alic... | calm(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 122661713620286935591203
% SZS output start Proof for 122661713620286935591203
7. ! [X0] : (~old(X0) <=> (old(X0) & calm(X0))) [input p6]
25. calm(john) [input hypothesis]
55. ! [X0] : ((~old(X0) | (~old(X0) | ~calm(X0))) & ((old(X0) & calm(X0)) | old(X0))) [nnf transformation 7]
56. ! [X... | 0 |
Everyone who is not rich or not happy is both brave and patient and vice versa.
If fred is creative then mary is either tall or kind and vice versa.
If someone is quiet or kind then someone is both not tall and not funny and vice versa.
If lucy is either not patient or not brave then someone is not humble and vice vers... | Alice is not generous. | entailment | (![X]:((~rich(X)|~happy(X))<=>(brave(X)&patient(X))))&
((creative(fred))<=>((tall(mary)<~>kind(mary))))&
((?[X]:((quiet(X)|kind(X))))<=>(?[X]:((~tall(X)&~funny(X)))))&
(((~patient(lucy)<~>~brave(lucy)))<=>(?[X]:(~humble(X))))&
(![X]:(~old(X)<=>(~wise(X)|rich(X))))&
(((~humble(fred)&~patient(fred)))=>(~rich(alice)))&
((... | ~generous(alice) | [
"p0",
"p4",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3231402884911100496440194
% SZS output start Proof for 3231402884911100496440194
1. ! [X0] : ((~happy(X0) | ~rich(X0)) <=> (patient(X0) & brave(X0))) [input p0]
5. ! [X0] : (~old(X0) <=> (rich(X0) | ~wise(X0))) [input p4]
12. ! [X0] : ((~generous(X0) <~> happy(X0)) => (old(X0) & ~patient(... | 0 |
Everyone who is patient or not creative is not patient or not funny. If paul is both not humble and not creative then someone is both patient and not wise and vice versa. If someone is not humble or not strong then fred is not wise or not kind and vice versa. If someone is either not kind or generous then lucy is eithe... | Alice is curious. | entailment | (![X]:((patient(X)|~creative(X))=>(~patient(X)|~funny(X))))&
(((~humble(paul)&~creative(paul)))<=>(?[X]:((patient(X)&~wise(X)))))&
((?[X]:((~humble(X)|~strong(X))))<=>((~wise(fred)|~kind(fred))))&
((?[X]:((~kind(X)<~>generous(X))))<=>((~patient(lucy)<~>quiet(lucy))))&
(![X]:((~generous(X)|~kind(X))=>(~brave(X)<~>old(X)... | curious(alice) | [
"p0",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 583694847546328692883720
% SZS output start Proof for 583694847546328692883720
1. ! [X0] : ((~creative(X0) | patient(X0)) => (~funny(X0) | ~patient(X0))) [input p0]
7. ? [X0] : (strong(X0) | ~curious(X0)) => ? [X0] : (patient(X0) & ~happy(X0)) [input p6]
16. ! [X0] : (strong(X0) <=> (~str... | 0 |
If someone is either funny or not calm then someone is both not rich and not funny. Everyone who is both kind and not patient is curious or not creative. Everyone who is tall is either tall or funny and vice versa. If someone is either not tall or not calm then john is not old or not generous. Everyone who is both crea... | Mary is calm. | contradiction | ((?[X]:((funny(X)<~>~calm(X))))=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((kind(X)&~patient(X))=>(curious(X)|~creative(X))))&
(![X]:(tall(X)<=>(tall(X)<~>funny(X))))&
((?[X]:((~tall(X)<~>~calm(X))))=>((~old(john)|~generous(john))))&
(![X]:((creative(X)&~generous(X))=>(strong(X)|kind(X))))&
((calm(fred))=>((~generous(alic... | calm(mary) | [
"p2",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4808969170671568505353753
% SZS output start Proof for 4808969170671568505353753
3. ! [X0] : (tall(X0) <=> (tall(X0) <~> funny(X0))) [input p2]
7. ! [X0] : (calm(X0) <=> (quiet(X0) & ~old(X0))) [input p6]
16. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> ~old(X0)) [input p15]
21. calm(mary) [in... | 0 |
If fred is both curious and not patient then john is not old or tall and vice versa.
If fred is strong or not tall then someone is wise or not generous.
Everyone who is either kind or funny is old.
Everyone who is both not wise and not calm is both not calm and not patient and vice versa.
If someone is quiet then john ... | Fred is curious. | entailment | (((curious(fred)&~patient(fred)))<=>((~old(john)|tall(john))))&
(((strong(fred)|~tall(fred)))=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:((kind(X)<~>funny(X))=>old(X)))&
(![X]:((~wise(X)&~calm(X))<=>(~calm(X)&~patient(X))))&
((?[X]:(quiet(X)))=>((kind(john)<~>~brave(john))))&
((?[X]:((wise(X)|patient(X))))<=>((wise(susan... | curious(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4771638293358909082718518
% SZS output start Proof for 4771638293358909082718518
23. curious(fred) & ~happy(fred) [input p22]
25. ~curious(fred) [input hypothesis]
133. curious(fred) [cnf transformation 23]
136. ~curious(fred) [cnf transformation 25]
152. 4 <=> curious(fred) [avatar defin... | 0 |
Everyone who is not wise or old is tall or creative and vice versa.
Everyone who is not patient or not generous is not old.
If susan is not brave or not generous then alice is both not tall and calm.
Everyone who is both patient and brave is patient or not humble and vice versa.
If someone is either happy or quiet then... | Fred is rich. | neutral | (![X]:((~wise(X)|old(X))<=>(tall(X)|creative(X))))&
(![X]:((~patient(X)|~generous(X))=>~old(X)))&
(((~brave(susan)|~generous(susan)))=>((~tall(alice)&calm(alice))))&
(![X]:((patient(X)&brave(X))<=>(patient(X)|~humble(X))))&
((?[X]:((happy(X)<~>quiet(X))))<=>((~curious(lucy)&~humble(lucy))))&
(![X]:((kind(X)&~wise(X))<=... | rich(fred) | [] | null | 0 |
If susan is not curious then someone is both not quiet and tall and vice versa.
Everyone who is either curious or calm is either calm or not curious.
Everyone who is both kind and patient is either not calm or strong and vice versa.
Everyone who is both not brave and calm is brave and vice versa.
If john is both not cu... | Mary is old. | neutral | ((~curious(susan))<=>(?[X]:((~quiet(X)&tall(X)))))&
(![X]:((curious(X)<~>calm(X))=>(calm(X)<~>~curious(X))))&
(![X]:((kind(X)&patient(X))<=>(~calm(X)<~>strong(X))))&
(![X]:((~brave(X)&calm(X))<=>brave(X)))&
(((~curious(john)&~happy(john)))=>((~rich(lucy)&generous(lucy))))&
((?[X]:(~funny(X)))=>(strong(susan)))&
((?[X]:... | old(mary) | [] | null | 0 |
Everyone who is humble or quiet is both not calm and funny and vice versa.
Everyone who is strong is either not creative or happy.
If fred is both patient and funny then someone is either tall or strong and vice versa.
If someone is both calm and happy then mary is both wise and generous and vice versa.
If paul is not ... | Fred is not strong. | entailment | (![X]:((humble(X)|quiet(X))<=>(~calm(X)&funny(X))))&
(![X]:(strong(X)=>(~creative(X)<~>happy(X))))&
(((patient(fred)&funny(fred)))<=>(?[X]:((tall(X)<~>strong(X)))))&
((?[X]:((calm(X)&happy(X))))<=>((wise(mary)&generous(mary))))&
(((~calm(paul)|~brave(paul)))<=>(?[X]:((quiet(X)&~wise(X)))))&
(![X]:(~rich(X)<=>tall(X)))&... | ~strong(fred) | [
"p5",
"p6",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 665147984322878445696912
% SZS output start Proof for 665147984322878445696912
6. ! [X0] : (~rich(X0) <=> tall(X0)) [input p5]
7. ! [X0] : (~tall(X0) <=> (patient(X0) | creative(X0))) [input p6]
13. ! [X0] : (tall(X0) => (~funny(X0) & ~wise(X0))) [input p12]
15. ! [X0] : ((patient(X0) | w... | 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... | Alice is not old. | 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)... | ~old(alice) | [
"p1",
"p2",
"p5",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8030537003953634707720105
% SZS output start Proof for 8030537003953634707720105
2. ! [X0] : ((old(X0) | brave(X0)) <=> (~curious(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((~wise(X0) | ~funny(X0)) <=> (~wise(X0) & ~rich(X0))) [input p2]
6. ! [X0] : (~generous(X0) <=> (patient(X0) & g... | 0 |
If fred is either not old or strong then fred is either not funny or not humble and vice versa.
Everyone who is either not patient or not wise is kind or not strong.
If someone is not happy then john is both not happy and funny.
Everyone who is not quiet or not calm is both not creative and not wise.
Everyone who is no... | Alice is not strong. | entailment | (((~old(fred)<~>strong(fred)))<=>((~funny(fred)<~>~humble(fred))))&
(![X]:((~patient(X)<~>~wise(X))=>(kind(X)|~strong(X))))&
((?[X]:(~happy(X)))=>((~happy(john)&funny(john))))&
(![X]:((~quiet(X)|~calm(X))=>(~creative(X)&~wise(X))))&
(![X]:((~brave(X)|old(X))<=>(~humble(X)<~>tall(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(~... | ~strong(alice) | [
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 87161744749582737413092
% SZS output start Proof for 87161744749582737413092
13. ! [X0] : (calm(X0) => ~strong(X0)) [input p12]
16. (calm(alice) & ~rich(alice)) <=> ? [X0] : (quiet(X0) | ~brave(X0)) [input p15]
20. quiet(mary) [input p19]
25. strong(alice) [input hypothesis]
36. ! [X0] : ... | 0 |
If someone is either not wise or funny then fred is not humble.
If alice is both quiet and humble then alice is both not curious and funny.
If fred is not funny or happy then susan is not calm.
Everyone who is either happy or not happy is not creative.
Everyone who is either not funny or not rich is either curious or n... | Mary is strong. | entailment | ((?[X]:((~wise(X)<~>funny(X))))=>(~humble(fred)))&
(((quiet(alice)&humble(alice)))=>((~curious(alice)&funny(alice))))&
(((~funny(fred)|happy(fred)))=>(~calm(susan)))&
(![X]:((happy(X)<~>~happy(X))=>~creative(X)))&
(![X]:((~funny(X)<~>~rich(X))=>(curious(X)<~>~wise(X))))&
((?[X]:(kind(X)))=>(?[X]:(funny(X))))&
(![X]:(pa... | strong(mary) | [
"p3",
"p4",
"p8",
"p10",
"p11",
"p14",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 729605951326335557164434
% SZS output start Proof for 729605951326335557164434
4. ! [X0] : ((happy(X0) <~> ~happy(X0)) => ~creative(X0)) [input p3]
5. ! [X0] : ((~funny(X0) <~> ~rich(X0)) => (curious(X0) <~> ~wise(X0))) [input p4]
9. ! [X0] : ((funny(X0) & ~creative(X0)) <=> ~strong(X0)) ... | 0 |
Everyone who is either generous or not curious is not funny and vice versa.
Everyone who is both not quiet and funny is both happy and funny.
If someone is both not rich and not strong then fred is not tall and vice versa.
If mary is wise then lucy is not brave and vice versa.
Everyone who is both not kind and strong i... | Lucy is strong. | contradiction | (![X]:((generous(X)<~>~curious(X))<=>~funny(X)))&
(![X]:((~quiet(X)&funny(X))=>(happy(X)&funny(X))))&
((?[X]:((~rich(X)&~strong(X))))<=>(~tall(fred)))&
((wise(mary))<=>(~brave(lucy)))&
(![X]:((~kind(X)&strong(X))<=>kind(X)))&
(![X]:((~tall(X)&~kind(X))=>(calm(X)&~brave(X))))&
(![X]:((~funny(X)<~>~generous(X))<=>(~brave... | strong(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5368458574081202731219247
% SZS output start Proof for 5368458574081202731219247
5. ! [X0] : ((strong(X0) & ~kind(X0)) <=> kind(X0)) [input p4]
25. strong(lucy) [input hypothesis]
44. ! [X0] : (((strong(X0) & ~kind(X0)) | ~kind(X0)) & (kind(X0) | (~strong(X0) | kind(X0)))) [nnf transforma... | 0 |
Everyone who is either not generous or wise is not tall or quiet. If susan is either quiet or not strong then paul is both not old and not patient. Everyone who is either not strong or not tall is either not calm or not strong. Everyone who is strong is either not old or humble. Everyone who is not creative or not humb... | Paul is brave. | entailment | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|quiet(X))))&
(((quiet(susan)<~>~strong(susan)))=>((~old(paul)&~patient(paul))))&
(![X]:((~strong(X)<~>~tall(X))=>(~calm(X)<~>~strong(X))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((pa... | brave(paul) | [
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 895453878217992577426511
% SZS output start Proof for 895453878217992577426511
5. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~creative(X0))) [input p7]
11. ! [X0] : (~brave(X0) <=> (tall(X0) | ... | 0 |
Everyone who is both humble and not strong is either not humble or not generous and vice versa.
Everyone who is funny is funny or not happy and vice versa.
Everyone who is not calm or brave is both not rich and not humble.
If mary is either not curious or tall then someone is both not patient and not old and vice versa... | Paul is not funny. | contradiction | (![X]:((humble(X)&~strong(X))<=>(~humble(X)<~>~generous(X))))&
(![X]:(funny(X)<=>(funny(X)|~happy(X))))&
(![X]:((~calm(X)|brave(X))=>(~rich(X)&~humble(X))))&
(((~curious(mary)<~>tall(mary)))<=>(?[X]:((~patient(X)&~old(X)))))&
((?[X]:(~funny(X)))=>((happy(lucy)<~>funny(lucy))))&
(![X]:((wise(X)|~happy(X))=>(old(X)<~>bra... | ~funny(paul) | [
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5608837965725359039776170
% SZS output start Proof for 5608837965725359039776170
5. ? [X0] : ~funny(X0) => (happy(lucy) <~> funny(lucy)) [input p4]
9. (funny(lucy) | ~wise(lucy)) <=> ? [X0] : (happy(X0) | ~strong(X0)) [input p8]
15. ! [X0] : ((happy(X0) | ~wise(X0)) <=> wise(X0)) [input p... | 0 |
Everyone who is not calm or curious is either humble or rich.
Everyone who is not tall is not generous and vice versa.
If john is not wise or not generous then someone is both not rich and not humble.
Everyone who is not old is both strong and funny and vice versa.
Everyone who is not calm or kind is not happy or not w... | Mary is brave. | neutral | (![X]:((~calm(X)|curious(X))=>(humble(X)<~>rich(X))))&
(![X]:(~tall(X)<=>~generous(X)))&
(((~wise(john)|~generous(john)))=>(?[X]:((~rich(X)&~humble(X)))))&
(![X]:(~old(X)<=>(strong(X)&funny(X))))&
(![X]:((~calm(X)|kind(X))=>(~happy(X)|~wise(X))))&
((?[X]:(~strong(X)))=>(?[X]:((humble(X)<~>~strong(X)))))&
(![X]:((wise(X... | brave(mary) | [] | null | 0 |
If alice is not kind then someone is both not humble and quiet and vice versa.
Everyone who is not rich or patient is both not generous and not happy.
If someone is either not patient or not happy then paul is either old or not generous.
Everyone who is both not wise and strong is rich or curious and vice versa.
Everyo... | Mary is funny. | contradiction | ((~kind(alice))<=>(?[X]:((~humble(X)&quiet(X)))))&
(![X]:((~rich(X)|patient(X))=>(~generous(X)&~happy(X))))&
((?[X]:((~patient(X)<~>~happy(X))))=>((old(paul)<~>~generous(paul))))&
(![X]:((~wise(X)&strong(X))<=>(rich(X)|curious(X))))&
(![X]:(~funny(X)<=>~kind(X)))&
(((~patient(john)<~>~curious(john)))<=>(?[X]:(brave(X))... | funny(mary) | [
"p1",
"p3",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 429896036792920181811813
% SZS output start Proof for 429896036792920181811813
2. ! [X0] : ((patient(X0) | ~rich(X0)) => (~happy(X0) & ~generous(X0))) [input p1]
4. ! [X0] : ((strong(X0) & ~wise(X0)) <=> (curious(X0) | rich(X0))) [input p3]
8. ? [X0] : (rich(X0) & funny(X0)) <=> ? [X0] : ... | 0 |
Everyone who is either not kind or not old is both rich and not wise and vice versa.
Everyone who is both not funny and kind is humble.
Everyone who is not strong is not tall and vice versa.
If someone is either not generous or humble then someone is both humble and not tall.
Everyone who is either patient or not tall ... | Mary is not curious. | contradiction | (![X]:((~kind(X)<~>~old(X))<=>(rich(X)&~wise(X))))&
(![X]:((~funny(X)&kind(X))=>humble(X)))&
(![X]:(~strong(X)<=>~tall(X)))&
((?[X]:((~generous(X)<~>humble(X))))=>(?[X]:((humble(X)&~tall(X)))))&
(![X]:((patient(X)<~>~tall(X))<=>(kind(X)<~>patient(X))))&
(((quiet(alice)<~>curious(alice)))<=>(?[X]:((~old(X)&~strong(X))))... | ~curious(mary) | [
"p2",
"p7",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9104715602707871702131457
% SZS output start Proof for 9104715602707871702131457
3. ! [X0] : (~strong(X0) <=> ~tall(X0)) [input p2]
8. ! [X0] : (~patient(X0) => (~creative(X0) & ~calm(X0))) [input p7]
11. ! [X0] : (~tall(X0) <=> (old(X0) & curious(X0))) [input p10]
14. ! [X0] : ((~patient... | 0 |
If someone is rich then lucy is both strong and not brave and vice versa.
If someone is both not rich and happy then mary is not quiet or humble.
If john is either happy or not calm then lucy is either wise or not curious and vice versa.
Everyone who is either not wise or wise is either not wise or not calm and vice ve... | Lucy is happy. | neutral | ((?[X]:(rich(X)))<=>((strong(lucy)&~brave(lucy))))&
((?[X]:((~rich(X)&happy(X))))=>((~quiet(mary)|humble(mary))))&
(((happy(john)<~>~calm(john)))<=>((wise(lucy)<~>~curious(lucy))))&
(![X]:((~wise(X)<~>wise(X))<=>(~wise(X)<~>~calm(X))))&
(((strong(lucy)|~patient(lucy)))<=>(?[X]:((calm(X)<~>~quiet(X)))))&
(![X]:((tall(X)... | happy(lucy) | [] | null | 0 |
If someone is both not generous and funny then someone is not calm.
Everyone who is not brave or strong is either strong or generous and vice versa.
Everyone who is strong or quiet is not wise or not kind.
Everyone who is both not funny and curious is patient.
Everyone who is both rich and not rich is not wise or not p... | Alice is happy. | contradiction | ((?[X]:((~generous(X)&funny(X))))=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)|strong(X))<=>(strong(X)<~>generous(X))))&
(![X]:((strong(X)|quiet(X))=>(~wise(X)|~kind(X))))&
(![X]:((~funny(X)&curious(X))=>patient(X)))&
(![X]:((rich(X)&~rich(X))<=>(~wise(X)|~patient(X))))&
(![X]:((~patient(X)&~calm(X))<=>~kind(X)))&
(((brave(f... | happy(alice) | [
"p2",
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7377887418639688344304275
% SZS output start Proof for 7377887418639688344304275
3. ! [X0] : ((quiet(X0) | strong(X0)) => (~kind(X0) | ~wise(X0))) [input p2]
5. ! [X0] : ((~rich(X0) & rich(X0)) <=> (~patient(X0) | ~wise(X0))) [input p4]
6. ! [X0] : ((~calm(X0) & ~patient(X0)) <=> ~kind(X0... | 0 |
Everyone who is either not curious or not kind is brave or not quiet and vice versa.
If someone is patient then john is wise or not kind and vice versa.
If paul is rich then paul is patient and vice versa.
If someone is either not old or not rich then susan is creative and vice versa.
Everyone who is quiet is rich or n... | Paul is patient. | entailment | (![X]:((~curious(X)<~>~kind(X))<=>(brave(X)|~quiet(X))))&
((?[X]:(patient(X)))<=>((wise(john)|~kind(john))))&
((rich(paul))<=>(patient(paul)))&
((?[X]:((~old(X)<~>~rich(X))))<=>(creative(susan)))&
(![X]:(quiet(X)=>(rich(X)|~wise(X))))&
(![X]:((patient(X)<~>~brave(X))=>(~wise(X)&~tall(X))))&
((?[X]:(~tall(X)))=>((~rich(... | patient(paul) | [
"p2",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 13291424395515736035331
% SZS output start Proof for 13291424395515736035331
3. rich(paul) <=> patient(paul) [input p2]
22. rich(paul) [input p21]
25. ~patient(paul) [input hypothesis]
45. (rich(paul) | ~patient(paul)) & (patient(paul) | ~rich(paul)) [nnf transformation 3]
87. patient(pau... | 0 |
Everyone who is either not happy or humble is not happy and vice versa.
If someone is either kind or not happy then lucy is either not strong or creative.
Everyone who is quiet is rich or not humble and vice versa.
Everyone who is wise is either creative or not brave.
Everyone who is either not curious or kind is not f... | Mary is not quiet. | contradiction | (![X]:((~happy(X)<~>humble(X))<=>~happy(X)))&
((?[X]:((kind(X)<~>~happy(X))))=>((~strong(lucy)<~>creative(lucy))))&
(![X]:(quiet(X)<=>(rich(X)|~humble(X))))&
(![X]:(wise(X)=>(creative(X)<~>~brave(X))))&
(![X]:((~curious(X)<~>kind(X))<=>(~funny(X)|~quiet(X))))&
(![X]:((kind(X)&quiet(X))<=>(generous(X)&quiet(X))))&
(![X]... | ~quiet(mary) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 63458970506044267037283
% SZS output start Proof for 63458970506044267037283
1. ! [X0] : ((~happy(X0) <~> humble(X0)) <=> ~happy(X0)) [input p0]
3. ! [X0] : (quiet(X0) <=> (~humble(X0) | rich(X0))) [input p2]
23. ~quiet(mary) [input hypothesis]
36. ! [X0] : ((((~humble(X0) | happy(X0)) & ... | 0 |
If susan is both old and calm then someone is not calm.
If fred is both patient and funny then someone is not brave.
Everyone who is either not tall or not generous is either patient or not quiet and vice versa.
If john is curious then john is not strong or not generous and vice versa.
If someone is not generous or not... | Fred is old. | contradiction | (((old(susan)&calm(susan)))=>(?[X]:(~calm(X))))&
(((patient(fred)&funny(fred)))=>(?[X]:(~brave(X))))&
(![X]:((~tall(X)<~>~generous(X))<=>(patient(X)<~>~quiet(X))))&
((curious(john))<=>((~strong(john)|~generous(john))))&
((?[X]:((~generous(X)|~strong(X))))<=>(?[X]:((~creative(X)<~>happy(X)))))&
(![X]:((~humble(X)|~calm(... | old(fred) | [
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6932930247511629508166494
% SZS output start Proof for 6932930247511629508166494
15. ? [X0] : (curious(X0) <~> ~old(X0)) <=> (~old(fred) & ~generous(fred)) [input p14]
18. ~curious(lucy) [input p17]
19. ~old(lucy) [input p18]
25. old(fred) [input hypothesis]
64. (? [X0] : ((old(X0) | ~cur... | 0 |
Everyone who is tall is either calm or not kind. If someone is either strong or creative then someone is not creative. If mary is not tall then someone is both not tall and not curious. Everyone who is not patient is either not calm or not tall. If fred is either strong or not patient then someone is both calm and not ... | John is funny. | entailment | (![X]:(tall(X)=>(calm(X)<~>~kind(X))))&
((?[X]:((strong(X)<~>creative(X))))=>(?[X]:(~creative(X))))&
((~tall(mary))=>(?[X]:((~tall(X)&~curious(X)))))&
(![X]:(~patient(X)=>(~calm(X)<~>~tall(X))))&
(((strong(fred)<~>~patient(fred)))<=>(?[X]:((calm(X)&~rich(X)))))&
(![X]:((kind(X)<~>quiet(X))=>(brave(X)<~>~kind(X))))&
(![... | funny(john) | [
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5248433032777305728258105
% SZS output start Proof for 5248433032777305728258105
15. ? [X0] : (~humble(X0) | ~happy(X0)) => (old(john) & funny(john)) [input p14]
21. ? [X0] : ~happy(X0) [input p20]
25. ~funny(john) [input hypothesis]
41. (old(john) & funny(john)) | ! [X0] : (humble(X0) & ... | 0 |
If someone is humble then someone is either strong or not brave. Everyone who is both not humble and creative is either not tall or calm. If someone is funny then john is not patient and vice versa. Everyone who is old or not humble is both curious and generous and vice versa. Everyone who is patient is either not crea... | Paul is tall. | contradiction | ((?[X]:(humble(X)))=>(?[X]:((strong(X)<~>~brave(X)))))&
(![X]:((~humble(X)&creative(X))=>(~tall(X)<~>calm(X))))&
((?[X]:(funny(X)))<=>(~patient(john)))&
(![X]:((old(X)|~humble(X))<=>(curious(X)&generous(X))))&
(![X]:(patient(X)<=>(~creative(X)<~>creative(X))))&
((?[X]:(funny(X)))<=>((wise(paul)&humble(paul))))&
(![X]:(... | tall(paul) | [
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7539661214597212612535445
% SZS output start Proof for 7539661214597212612535445
11. ~calm(paul) <=> ? [X0] : ~strong(X0) [input p10]
14. ! [X0] : ((~creative(X0) & rich(X0)) <=> tall(X0)) [input p13]
16. ! [X0] : ((calm(X0) & ~strong(X0)) <=> (~strong(X0) | rich(X0))) [input p15]
25. tal... | 0 |
If someone is tall then susan is both humble and not generous and vice versa.
Everyone who is not rich or not strong is either calm or not strong.
Everyone who is quiet is calm or strong.
If john is either not wise or not quiet then fred is either not happy or generous and vice versa.
Everyone who is old is both funny ... | Paul is not brave. | contradiction | ((?[X]:(tall(X)))<=>((humble(susan)&~generous(susan))))&
(![X]:((~rich(X)|~strong(X))=>(calm(X)<~>~strong(X))))&
(![X]:(quiet(X)=>(calm(X)|strong(X))))&
(((~wise(john)<~>~quiet(john)))<=>((~happy(fred)<~>generous(fred))))&
(![X]:(old(X)<=>(funny(X)&kind(X))))&
((?[X]:(creative(X)))=>((creative(paul)<~>kind(paul))))&
(!... | ~brave(paul) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 43884669309100589624061
% SZS output start Proof for 43884669309100589624061
2. ! [X0] : ((~strong(X0) | ~rich(X0)) => (calm(X0) <~> ~strong(X0))) [input p1]
3. ! [X0] : (quiet(X0) => (strong(X0) | calm(X0))) [input p2]
5. ! [X0] : (old(X0) <=> (kind(X0) & funny(X0))) [input p4]
6. ? [X0]... | 0 |
Everyone who is both curious and happy is strong or brave and vice versa.
Everyone who is both not strong and rich is calm or old and vice versa.
If someone is either not kind or rich then fred is wise and vice versa.
Everyone who is either generous or not calm is both patient and funny.
Everyone who is not brave is no... | John is not old. | entailment | (![X]:((curious(X)&happy(X))<=>(strong(X)|brave(X))))&
(![X]:((~strong(X)&rich(X))<=>(calm(X)|old(X))))&
((?[X]:((~kind(X)<~>rich(X))))<=>(wise(fred)))&
(![X]:((generous(X)<~>~calm(X))=>(patient(X)&funny(X))))&
(![X]:(~brave(X)<=>(~wise(X)|rich(X))))&
(((funny(susan)|humble(susan)))=>((curious(paul)<~>strong(paul))))&
... | ~old(john) | [
"p1",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 752775080396675660694925
% SZS output start Proof for 752775080396675660694925
2. ! [X0] : ((rich(X0) & ~strong(X0)) <=> (old(X0) | calm(X0))) [input p1]
5. ! [X0] : (~brave(X0) <=> (rich(X0) | ~wise(X0))) [input p4]
8. ! [X0] : (rich(X0) => (brave(X0) & humble(X0))) [input p7]
25. old(jo... | 0 |
Everyone who is either not old or not curious is kind or humble.
If susan is curious or kind then someone is brave and vice versa.
Everyone who is either generous or creative is both old and kind and vice versa.
If john is not happy then lucy is both not generous and not curious and vice versa.
Everyone who is both gen... | Alice is generous. | contradiction | (![X]:((~old(X)<~>~curious(X))=>(kind(X)|humble(X))))&
(((curious(susan)|kind(susan)))<=>(?[X]:(brave(X))))&
(![X]:((generous(X)<~>creative(X))<=>(old(X)&kind(X))))&
((~happy(john))<=>((~generous(lucy)&~curious(lucy))))&
(![X]:((generous(X)&~generous(X))=>(happy(X)<~>~patient(X))))&
(![X]:(~generous(X)<=>(generous(X)|c... | generous(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7108943129820209079811279
% SZS output start Proof for 7108943129820209079811279
6. ! [X0] : (~generous(X0) <=> (curious(X0) | generous(X0))) [input p5]
25. generous(alice) [input hypothesis]
49. ! [X0] : ((~generous(X0) | (~curious(X0) & ~generous(X0))) & ((curious(X0) | generous(X0)) | ... | 0 |
Everyone who is both not brave and not funny is either patient or humble.
If someone is old then someone is not calm or not curious.
If fred is both not generous and humble then someone is quiet or not humble.
If someone is either curious or not kind then fred is either not old or tall and vice versa.
Everyone who is e... | Paul is not funny. | entailment | (![X]:((~brave(X)&~funny(X))=>(patient(X)<~>humble(X))))&
((?[X]:(old(X)))=>(?[X]:((~calm(X)|~curious(X)))))&
(((~generous(fred)&humble(fred)))=>(?[X]:((quiet(X)|~humble(X)))))&
((?[X]:((curious(X)<~>~kind(X))))<=>((~old(fred)<~>tall(fred))))&
(![X]:((~tall(X)<~>~strong(X))<=>(~generous(X)&kind(X))))&
(![X]:(happy(X)=>... | ~funny(paul) | [
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2283797392728517942828158
% SZS output start Proof for 2283797392728517942828158
5. ! [X0] : ((~tall(X0) <~> ~strong(X0)) <=> (kind(X0) & ~generous(X0))) [input p4]
7. (generous(fred) & ~tall(fred)) <=> ? [X0] : (~creative(X0) & funny(X0)) [input p6]
15. ? [X0] : (~wise(X0) & wise(X0)) <=... | 0 |
Everyone who is quiet or wise is both calm and quiet.
Everyone who is not happy or not generous is not kind and vice versa.
If fred is patient then someone is not wise or creative and vice versa.
If someone is not brave then mary is both kind and not rich and vice versa.
Everyone who is not quiet is both humble and old... | Susan is not happy. | contradiction | (![X]:((quiet(X)|wise(X))=>(calm(X)&quiet(X))))&
(![X]:((~happy(X)|~generous(X))<=>~kind(X)))&
((patient(fred))<=>(?[X]:((~wise(X)|creative(X)))))&
((?[X]:(~brave(X)))<=>((kind(mary)&~rich(mary))))&
(![X]:(~quiet(X)<=>(humble(X)&old(X))))&
(![X]:((~humble(X)|~creative(X))=>~creative(X)))&
(![X]:((generous(X)|~calm(X))=... | ~happy(susan) | [
"p1",
"p3",
"p7",
"p10",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1501699513015256389610285
% SZS output start Proof for 1501699513015256389610285
2. ! [X0] : ((~generous(X0) | ~happy(X0)) <=> ~kind(X0)) [input p1]
4. ? [X0] : ~brave(X0) <=> (~rich(mary) & kind(mary)) [input p3]
8. ! [X0] : ((~brave(X0) & ~strong(X0)) <=> ~old(X0)) [input p7]
11. ! [X0]... | 0 |
Everyone who is either not curious or creative is both curious and humble and vice versa.
Everyone who is calm is calm or not kind.
If paul is kind or not happy then someone is not creative or funny.
Everyone who is either not kind or not happy is either not tall or not creative.
If someone is either not creative or no... | Alice is not tall. | entailment | (![X]:((~curious(X)<~>creative(X))<=>(curious(X)&humble(X))))&
(![X]:(calm(X)=>(calm(X)|~kind(X))))&
(((kind(paul)|~happy(paul)))=>(?[X]:((~creative(X)|funny(X)))))&
(![X]:((~kind(X)<~>~happy(X))=>(~tall(X)<~>~creative(X))))&
((?[X]:((~creative(X)<~>~brave(X))))=>(?[X]:(creative(X))))&
(![X]:(~quiet(X)=>(calm(X)&~humbl... | ~tall(alice) | [
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6557855142842534630416543
% SZS output start Proof for 6557855142842534630416543
8. ? [X0] : ~generous(X0) => ~tall(alice) [input p7]
24. ~generous(mary) & kind(mary) [input p23]
25. tall(alice) [input hypothesis]
36. ~tall(alice) | ! [X0] : generous(X0) [ennf transformation 8]
96. ~tall(... | 0 |
If fred is kind or not happy then alice is brave and vice versa.
Everyone who is not generous or happy is brave.
If mary is generous then someone is wise or not calm.
Everyone who is not curious or quiet is both generous and not humble and vice versa.
Everyone who is both generous and not old is tall and vice versa.
Ev... | Susan is tall. | contradiction | (((kind(fred)|~happy(fred)))<=>(brave(alice)))&
(![X]:((~generous(X)|happy(X))=>brave(X)))&
((generous(mary))=>(?[X]:((wise(X)|~calm(X)))))&
(![X]:((~curious(X)|quiet(X))<=>(generous(X)&~humble(X))))&
(![X]:((generous(X)&~old(X))<=>tall(X)))&
(![X]:(happy(X)<=>(creative(X)|old(X))))&
(![X]:((quiet(X)|~tall(X))=>(~creat... | tall(susan) | [
"p1",
"p4",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 304399879377206887919057
% SZS output start Proof for 304399879377206887919057
2. ! [X0] : ((happy(X0) | ~generous(X0)) => brave(X0)) [input p1]
5. ! [X0] : ((~old(X0) & generous(X0)) <=> tall(X0)) [input p4]
10. ! [X0] : (~brave(X0) <=> (~wise(X0) | ~old(X0))) [input p9]
20. happy(susan)... | 0 |
Everyone who is happy is tall or rich. If mary is either funny or not happy then fred is rich or creative and vice versa. Everyone who is not happy is brave. Everyone who is either not calm or not funny is either not rich or not wise and vice versa. Everyone who is not kind or not quiet is both not generous and not cur... | Lucy is not creative. | neutral | (![X]:(happy(X)=>(tall(X)|rich(X))))&
(((funny(mary)<~>~happy(mary)))<=>((rich(fred)|creative(fred))))&
(![X]:(~happy(X)=>brave(X)))&
(![X]:((~calm(X)<~>~funny(X))<=>(~rich(X)<~>~wise(X))))&
(![X]:((~kind(X)|~quiet(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~old(X)|patient(X))<=>(~tall(X)|~generous(X))))&
(((~patient(... | ~creative(lucy) | [] | null | 0 |
Everyone who is patient or not patient is calm or not quiet.
If paul is tall then fred is both kind and not happy and vice versa.
Everyone who is both brave and old is not tall and vice versa.
If john is not rich or not tall then paul is both wise and generous.
Everyone who is funny or calm is both not tall and wise an... | Paul is old. | entailment | (![X]:((patient(X)|~patient(X))=>(calm(X)|~quiet(X))))&
((tall(paul))<=>((kind(fred)&~happy(fred))))&
(![X]:((brave(X)&old(X))<=>~tall(X)))&
(((~rich(john)|~tall(john)))=>((wise(paul)&generous(paul))))&
(![X]:((funny(X)|calm(X))<=>(~tall(X)&wise(X))))&
(![X]:(tall(X)=>(funny(X)&~happy(X))))&
(((~humble(lucy)|~calm(lucy... | old(paul) | [
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 9045337839327764319180092
% SZS output start Proof for 9045337839327764319180092
3. ! [X0] : ((old(X0) & brave(X0)) <=> ~tall(X0)) [input p2]
5. ! [X0] : ((calm(X0) | funny(X0)) <=> (wise(X0) & ~tall(X0))) [input p4]
6. ! [X0] : (tall(X0) => (~happy(X0) & funny(X0))) [input p5]
24. ~old(p... | 0 |
Everyone who is both patient and humble is either not curious or brave and vice versa.
Everyone who is funny is either funny or not tall and vice versa.
Everyone who is not patient is both quiet and calm and vice versa.
If someone is either not patient or rich then someone is both not patient and calm.
Everyone who is ... | Alice is tall. | entailment | (![X]:((patient(X)&humble(X))<=>(~curious(X)<~>brave(X))))&
(![X]:(funny(X)<=>(funny(X)<~>~tall(X))))&
(![X]:(~patient(X)<=>(quiet(X)&calm(X))))&
((?[X]:((~patient(X)<~>rich(X))))=>(?[X]:((~patient(X)&calm(X)))))&
(![X]:(~curious(X)<=>(~rich(X)|~strong(X))))&
(((~brave(lucy)<~>humble(lucy)))<=>(strong(john)))&
((?[X]:(... | tall(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2607187111344667003830105
% SZS output start Proof for 2607187111344667003830105
2. ! [X0] : (funny(X0) <=> (funny(X0) <~> ~tall(X0))) [input p1]
25. ~tall(alice) [input hypothesis]
41. ! [X0] : ((funny(X0) | ((funny(X0) | tall(X0)) & (~tall(X0) | ~funny(X0)))) & (((tall(X0) | ~funny(X0))... | 0 |
Everyone who is not calm is strong or not humble. Everyone who is not quiet or not happy is either not brave or not curious. Everyone who is not humble or kind is both tall and brave and vice versa. Everyone who is not old or not generous is either strong or brave. Everyone who is brave or not curious is both wise and ... | Lucy is not creative. | entailment | (![X]:(~calm(X)=>(strong(X)|~humble(X))))&
(![X]:((~quiet(X)|~happy(X))=>(~brave(X)<~>~curious(X))))&
(![X]:((~humble(X)|kind(X))<=>(tall(X)&brave(X))))&
(![X]:((~old(X)|~generous(X))=>(strong(X)<~>brave(X))))&
(![X]:((brave(X)|~curious(X))=>(wise(X)&~humble(X))))&
(![X]:((~humble(X)&~quiet(X))=>(generous(X)|~wise(X)))... | ~creative(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 9022920999112421284817341
% SZS output start Proof for 9022920999112421284817341
2. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~brave(X0) <~> ~curious(X0))) [input p1]
3. ! [X0] : ((kind(X0) | ~humble(X0)) <=> (brave(X0) & tall(X0))) [input p2]
5. ! [X0] : ((~curious(X0) | brave(X0)) => (~hu... | 0 |
If someone is not kind or not funny then paul is both not strong and not wise.
Everyone who is either not happy or kind is both creative and strong.
Everyone who is generous is wise.
Everyone who is both not wise and not calm is not funny or calm.
Everyone who is not funny is not curious or old and vice versa.
Everyone... | Alice is calm. | neutral | ((?[X]:((~kind(X)|~funny(X))))=>((~strong(paul)&~wise(paul))))&
(![X]:((~happy(X)<~>kind(X))=>(creative(X)&strong(X))))&
(![X]:(generous(X)=>wise(X)))&
(![X]:((~wise(X)&~calm(X))=>(~funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(~curious(X)|old(X))))&
(![X]:((~brave(X)&~happy(X))=>(happy(X)|~happy(X))))&
(((~wise(alice)&~fun... | calm(alice) | [] | null | 0 |
Everyone who is patient is not patient.
Everyone who is either not old or wise is not generous or strong.
Everyone who is not quiet or humble is either not curious or not calm and vice versa.
Everyone who is not funny or not wise is both funny and rich.
If fred is brave then susan is both patient and not funny and vice... | Lucy is not patient. | entailment | (![X]:(patient(X)=>~patient(X)))&
(![X]:((~old(X)<~>wise(X))=>(~generous(X)|strong(X))))&
(![X]:((~quiet(X)|humble(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:((~funny(X)|~wise(X))=>(funny(X)&rich(X))))&
((brave(fred))<=>((patient(susan)&~funny(susan))))&
(![X]:(~old(X)<=>(~humble(X)<~>curious(X))))&
((?[X]:((~patient(X)|~... | ~patient(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8343430466197059610527507
% SZS output start Proof for 8343430466197059610527507
1. ! [X0] : (patient(X0) => ~patient(X0)) [input p0]
25. patient(lucy) [input hypothesis]
27. ! [X0] : (~patient(X0) | ~patient(X0)) [ennf transformation 1]
70. ~patient(X0) | ~patient(X0) [cnf transformation... | 0 |
If lucy is both brave and not old then someone is not kind.
Everyone who is generous or not kind is both kind and not patient.
If susan is either creative or quiet then john is both not old and generous.
Everyone who is quiet is either not tall or not rich and vice versa.
Everyone who is not quiet is generous and vice ... | Paul is not curious. | neutral | (((brave(lucy)&~old(lucy)))=>(?[X]:(~kind(X))))&
(![X]:((generous(X)|~kind(X))=>(kind(X)&~patient(X))))&
(((creative(susan)<~>quiet(susan)))=>((~old(john)&generous(john))))&
(![X]:(quiet(X)<=>(~tall(X)<~>~rich(X))))&
(![X]:(~quiet(X)<=>generous(X)))&
(![X]:(creative(X)=>patient(X)))&
(![X]:((~funny(X)|funny(X))<=>(~bra... | ~curious(paul) | [] | null | 0 |
Everyone who is either quiet or not calm is not creative.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Everyone who is patient or not wise is not curious.
If someone is either old or not wise then someone is both not calm and not strong and vice versa.
Everyone who is patient... | Lucy is creative. | contradiction | (![X]:((quiet(X)<~>~calm(X))=>~creative(X)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((~calm(X)&~strong(X)))))&
(![X]:((patient(X)|strong(X))<=>(kind(X)&happy(X))))&
(![X]:((~calm(X)&rich(X))<=>(quiet(X)&hum... | creative(lucy) | [
"p2",
"p4",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4438816047913377529808644
% SZS output start Proof for 4438816047913377529808644
3. ! [X0] : ((~wise(X0) | patient(X0)) => ~curious(X0)) [input p2]
5. ! [X0] : ((strong(X0) | patient(X0)) <=> (happy(X0) & kind(X0))) [input p4]
10. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (brave(X0) | stro... | 0 |
Everyone who is not brave or not funny is not old or calm.
Everyone who is not funny is either tall or wise.
Everyone who is not strong is not curious or quiet and vice versa.
If alice is both happy and not wise then someone is not humble and vice versa.
Everyone who is either happy or not rich is creative or not tall.... | Lucy is patient. | neutral | (![X]:((~brave(X)|~funny(X))=>(~old(X)|calm(X))))&
(![X]:(~funny(X)=>(tall(X)<~>wise(X))))&
(![X]:(~strong(X)<=>(~curious(X)|quiet(X))))&
(((happy(alice)&~wise(alice)))<=>(?[X]:(~humble(X))))&
(![X]:((happy(X)<~>~rich(X))=>(creative(X)|~tall(X))))&
((happy(alice))=>(~wise(mary)))&
(![X]:((rich(X)|kind(X))=>(generous(X)... | patient(lucy) | [] | null | 0 |
Everyone who is either not rich or rich is humble.
Everyone who is not rich or humble is both not curious and rich and vice versa.
If alice is both not curious and creative then someone is both not curious and rich.
Everyone who is both not old and not kind is either not happy or not kind and vice versa.
Everyone who i... | Paul is not patient. | contradiction | (![X]:((~rich(X)<~>rich(X))=>humble(X)))&
(![X]:((~rich(X)|humble(X))<=>(~curious(X)&rich(X))))&
(((~curious(alice)&creative(alice)))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((~old(X)&~kind(X))<=>(~happy(X)<~>~kind(X))))&
(![X]:((creative(X)&~calm(X))<=>(~strong(X)<~>quiet(X))))&
(![X]:((generous(X)&kind(X))<=>~curious... | ~patient(paul) | [
"p0",
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6027827634714802573896607
% SZS output start Proof for 6027827634714802573896607
1. ! [X0] : ((~rich(X0) <~> rich(X0)) => humble(X0)) [input p0]
2. ! [X0] : ((humble(X0) | ~rich(X0)) <=> (rich(X0) & ~curious(X0))) [input p1]
10. ! [X0] : ((~creative(X0) & patient(X0)) <=> (rich(X0) | ~pat... | 0 |
If lucy is both tall and not humble then someone is curious and vice versa.
Everyone who is both not brave and old is quiet.
If someone is rich then fred is both curious and not kind and vice versa.
If someone is either generous or curious then someone is both generous and not curious.
Everyone who is either calm or no... | Lucy is curious. | entailment | (((tall(lucy)&~humble(lucy)))<=>(?[X]:(curious(X))))&
(![X]:((~brave(X)&old(X))=>quiet(X)))&
((?[X]:(rich(X)))<=>((curious(fred)&~kind(fred))))&
((?[X]:((generous(X)<~>curious(X))))=>(?[X]:((generous(X)&~curious(X)))))&
(![X]:((calm(X)<~>~creative(X))<=>funny(X)))&
((~kind(mary))=>(?[X]:((brave(X)|~generous(X)))))&
(![... | curious(lucy) | [
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6484890904697279161352373
% SZS output start Proof for 6484890904697279161352373
7. ! [X0] : ((funny(X0) | strong(X0)) => (~tall(X0) & quiet(X0))) [input p6]
11. ! [X0] : ((funny(X0) | ~strong(X0)) <=> (curious(X0) & brave(X0))) [input p10]
13. ! [X0] : ((wise(X0) & curious(X0)) <=> (~cal... | 0 |
Everyone who is either not patient or not calm is both creative and generous and vice versa.
Everyone who is either funny or tall is both creative and not brave and vice versa.
If someone is not kind then someone is both not wise and not tall.
Everyone who is either generous or rich is either not tall or tall and vice ... | John is not generous. | entailment | (![X]:((~patient(X)<~>~calm(X))<=>(creative(X)&generous(X))))&
(![X]:((funny(X)<~>tall(X))<=>(creative(X)&~brave(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~wise(X)&~tall(X)))))&
(![X]:((generous(X)<~>rich(X))<=>(~tall(X)<~>tall(X))))&
(((~curious(lucy)&strong(lucy)))<=>(quiet(fred)))&
(![X]:(tall(X)=>(~patient(X)&~humble(X)))... | ~generous(john) | [
"p5",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3681437123282682253852616
% SZS output start Proof for 3681437123282682253852616
6. ! [X0] : (tall(X0) => (~humble(X0) & ~patient(X0))) [input p5]
13. ! [X0] : ((tall(X0) & ~rich(X0)) <=> quiet(X0)) [input p12]
14. (~brave(fred) & brave(fred)) <=> ? [X0] : (generous(X0) & ~quiet(X0)) [inp... | 0 |
If someone is both not quiet and not strong then lucy is both quiet and not wise. Everyone who is either not happy or not humble is both quiet and humble. If someone is both not tall and not brave then someone is not calm or quiet. Everyone who is both tall and curious is not calm or not humble and vice versa. Everyone... | Lucy is not funny. | entailment | ((?[X]:((~quiet(X)&~strong(X))))=>((quiet(lucy)&~wise(lucy))))&
(![X]:((~happy(X)<~>~humble(X))=>(quiet(X)&humble(X))))&
((?[X]:((~tall(X)&~brave(X))))=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((tall(X)&curious(X))<=>(~calm(X)|~humble(X))))&
(![X]:((wise(X)<~>~quiet(X))<=>(~creative(X)|~brave(X))))&
(![X]:((strong(X)|~hum... | ~funny(lucy) | [
"p3",
"p5",
"p6",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4731094671051336843742564
% SZS output start Proof for 4731094671051336843742564
4. ! [X0] : ((curious(X0) & tall(X0)) <=> (~humble(X0) | ~calm(X0))) [input p3]
6. ! [X0] : ((~humble(X0) | strong(X0)) => humble(X0)) [input p5]
7. ! [X0] : (calm(X0) <=> (~funny(X0) | curious(X0))) [input p... | 0 |
Everyone who is both quiet and not creative is strong.
If someone is old then someone is not generous or calm.
Everyone who is not humble or old is old and vice versa.
Everyone who is either not tall or not brave is either wise or not old.
If someone is both not happy and not old then someone is not generous or patient... | Susan is not quiet. | entailment | (![X]:((quiet(X)&~creative(X))=>strong(X)))&
((?[X]:(old(X)))=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:((~humble(X)|old(X))<=>old(X)))&
(![X]:((~tall(X)<~>~brave(X))=>(wise(X)<~>~old(X))))&
((?[X]:((~happy(X)&~old(X))))<=>(?[X]:((~generous(X)|patient(X)))))&
(((strong(alice)&~funny(alice)))=>(rich(susan)))&
(![X]:((~fu... | ~quiet(susan) | [
"p2",
"p4",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1525149687648605377907293
% SZS output start Proof for 1525149687648605377907293
3. ! [X0] : ((old(X0) | ~humble(X0)) <=> old(X0)) [input p2]
5. ? [X0] : (~old(X0) & ~happy(X0)) <=> ? [X0] : (patient(X0) | ~generous(X0)) [input p4]
7. ! [X0] : ((~happy(X0) & ~funny(X0)) => (funny(X0) & ta... | 0 |
Everyone who is both not quiet and old is both not humble and kind.
Everyone who is both not old and not curious is not old or generous and vice versa.
Everyone who is not strong or not patient is both not brave and not strong.
Everyone who is tall or not kind is not quiet or not brave and vice versa.
If lucy is both s... | Susan is not quiet. | neutral | (![X]:((~quiet(X)&old(X))=>(~humble(X)&kind(X))))&
(![X]:((~old(X)&~curious(X))<=>(~old(X)|generous(X))))&
(![X]:((~strong(X)|~patient(X))=>(~brave(X)&~strong(X))))&
(![X]:((tall(X)|~kind(X))<=>(~quiet(X)|~brave(X))))&
(((strong(lucy)&~kind(lucy)))<=>((kind(john)&~tall(john))))&
(((curious(fred)&creative(fred)))=>((wis... | ~quiet(susan) | [] | null | 0 |
If someone is humble or brave then someone is creative and vice versa.
If lucy is both not patient and not creative then susan is not calm or not funny and vice versa.
Everyone who is not brave or not wise is not strong or wise.
Everyone who is both not calm and calm is funny or patient and vice versa.
Everyone who is ... | Lucy is brave. | contradiction | ((?[X]:((humble(X)|brave(X))))<=>(?[X]:(creative(X))))&
(((~patient(lucy)&~creative(lucy)))<=>((~calm(susan)|~funny(susan))))&
(![X]:((~brave(X)|~wise(X))=>(~strong(X)|wise(X))))&
(![X]:((~calm(X)&calm(X))<=>(funny(X)|patient(X))))&
(![X]:((~curious(X)|generous(X))=>(funny(X)|quiet(X))))&
((?[X]:((wise(X)|~rich(X))))<=... | brave(lucy) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 58559661344642043951569
% SZS output start Proof for 58559661344642043951569
4. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (patient(X0) | funny(X0))) [input p3]
11. ? [X0] : patient(X0) <=> ? [X0] : (brave(X0) | humble(X0)) [input p10]
18. brave(lucy) [input hypothesis]
22. ? [X0] : patient(X0)... | 0 |
If someone is kind then lucy is either generous or tall and vice versa. If someone is not tall then someone is old or generous and vice versa. If alice is either old or not kind then lucy is both brave and humble and vice versa. If someone is either kind or not strong then paul is either not humble or tall and vice ver... | Paul is not strong. | neutral | ((?[X]:(kind(X)))<=>((generous(lucy)<~>tall(lucy))))&
((?[X]:(~tall(X)))<=>(?[X]:((old(X)|generous(X)))))&
(((old(alice)<~>~kind(alice)))<=>((brave(lucy)&humble(lucy))))&
((?[X]:((kind(X)<~>~strong(X))))<=>((~humble(paul)<~>tall(paul))))&
(![X]:((~curious(X)<~>wise(X))<=>old(X)))&
(![X]:(funny(X)=>(~happy(X)<~>quiet(X)... | ~strong(paul) | [] | null | 0 |
Everyone who is creative or brave is both not tall and not creative and vice versa.
Everyone who is both not kind and humble is either strong or not patient.
Everyone who is either strong or not calm is strong.
Everyone who is either not humble or calm is not curious or calm.
If susan is either not quiet or not humble ... | Fred is not curious. | neutral | (![X]:((creative(X)|brave(X))<=>(~tall(X)&~creative(X))))&
(![X]:((~kind(X)&humble(X))=>(strong(X)<~>~patient(X))))&
(![X]:((strong(X)<~>~calm(X))=>strong(X)))&
(![X]:((~humble(X)<~>calm(X))=>(~curious(X)|calm(X))))&
(((~quiet(susan)<~>~humble(susan)))<=>((~strong(susan)<~>~generous(susan))))&
(![X]:((~kind(X)|~old(X))... | ~curious(fred) | [] | null | 0 |
If fred is either brave or not patient then someone is both not generous and creative and vice versa.
If paul is either kind or not wise then mary is not patient and vice versa.
If paul is calm or not kind then john is both not generous and tall.
Everyone who is both kind and not quiet is not creative or generous and v... | John is tall. | neutral | (((brave(fred)<~>~patient(fred)))<=>(?[X]:((~generous(X)&creative(X)))))&
(((kind(paul)<~>~wise(paul)))<=>(~patient(mary)))&
(((calm(paul)|~kind(paul)))=>((~generous(john)&tall(john))))&
(![X]:((kind(X)&~quiet(X))<=>(~creative(X)|generous(X))))&
((?[X]:(~humble(X)))=>(?[X]:((~happy(X)<~>generous(X)))))&
(((humble(fred)... | tall(john) | [] | null | 0 |
If susan is not patient or humble then susan is both creative and tall and vice versa. Everyone who is either not funny or calm is not funny. Everyone who is both curious and not brave is either not funny or not strong and vice versa. Everyone who is not calm or not generous is either not strong or not patient. If some... | Fred is not calm. | entailment | (((~patient(susan)|humble(susan)))<=>((creative(susan)&tall(susan))))&
(![X]:((~funny(X)<~>calm(X))=>~funny(X)))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(... | ~calm(fred) | [
"p1",
"p2",
"p7",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3730045186532898083327089
% SZS output start Proof for 3730045186532898083327089
2. ! [X0] : ((~funny(X0) <~> calm(X0)) => ~funny(X0)) [input p1]
3. ! [X0] : ((~brave(X0) & curious(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input p2]
8. ! [X0] : ((wise(X0) <~> creative(X0)) <=> (~kind(X0) <~... | 0 |
If lucy is generous or old then paul is wise. Everyone who is either not old or strong is either strong or not brave and vice versa. Everyone who is not funny is both generous and not tall and vice versa. If someone is either rich or not kind then susan is kind or quiet and vice versa. If someone is both not rich and o... | Susan is funny. | entailment | (((generous(lucy)|old(lucy)))=>(wise(paul)))&
(![X]:((~old(X)<~>strong(X))<=>(strong(X)<~>~brave(X))))&
(![X]:(~funny(X)<=>(generous(X)&~tall(X))))&
((?[X]:((rich(X)<~>~kind(X))))<=>((kind(susan)|quiet(susan))))&
((?[X]:((~rich(X)&old(X))))<=>((~curious(mary)|~creative(mary))))&
(![X]:((~rich(X)<~>happy(X))<=>(brave(X)... | funny(susan) | [
"p2",
"p5",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 876470724509265454139500
% SZS output start Proof for 876470724509265454139500
3. ! [X0] : (~funny(X0) <=> (~tall(X0) & generous(X0))) [input p2]
6. ! [X0] : ((~rich(X0) <~> happy(X0)) <=> (humble(X0) & brave(X0))) [input p5]
8. ! [X0] : ((~strong(X0) | strong(X0)) <=> (~curious(X0) & ~ha... | 0 |
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