premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either not curious or quiet then susan is either calm or not humble. Everyone who is not calm is either not creative or not rich and vice versa. If someone is not humble or not patient then someone is not rich and vice versa. Everyone who is generous is not humble and vice versa. Everyone who is strong is... | John is not wise. | entailment | ((?[X]:((~curious(X)<~>quiet(X))))=>((calm(susan)<~>~humble(susan))))&
(![X]:(~calm(X)<=>(~creative(X)<~>~rich(X))))&
((?[X]:((~humble(X)|~patient(X))))<=>(?[X]:(~rich(X))))&
(![X]:(generous(X)<=>~humble(X)))&
(![X]:(strong(X)<=>(~strong(X)|~wise(X))))&
(((~strong(mary)<~>quiet(mary)))=>(?[X]:((strong(X)|~wise(X)))))&
... | ~wise(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 254423838055565563646809
% SZS output start Proof for 254423838055565563646809
5. ! [X0] : (strong(X0) <=> (~wise(X0) | ~strong(X0))) [input p4]
24. wise(john) [input hypothesis]
40. ! [X0] : ((strong(X0) | (wise(X0) & strong(X0))) & ((~wise(X0) | ~strong(X0)) | ~strong(X0))) [nnf transfo... | 0 |
If someone is not generous then someone is either not old or brave and vice versa.
Everyone who is creative is both not curious and not rich and vice versa.
If fred is both patient and not rich then someone is kind or not curious and vice versa.
Everyone who is both funny and not old is not patient and vice versa.
If f... | Lucy is patient. | entailment | ((?[X]:(~generous(X)))<=>(?[X]:((~old(X)<~>brave(X)))))&
(![X]:(creative(X)<=>(~curious(X)&~rich(X))))&
(((patient(fred)&~rich(fred)))<=>(?[X]:((kind(X)|~curious(X)))))&
(![X]:((funny(X)&~old(X))<=>~patient(X)))&
((~humble(fred))=>(?[X]:((generous(X)&strong(X)))))&
(![X]:((~patient(X)&strong(X))=>(patient(X)|~patient(X... | patient(lucy) | [
"p1",
"p3",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 26615012219133542469902
% SZS output start Proof for 26615012219133542469902
2. ! [X0] : (creative(X0) <=> (~rich(X0) & ~curious(X0))) [input p1]
4. ! [X0] : ((~old(X0) & funny(X0)) <=> ~patient(X0)) [input p3]
14. ! [X0] : ((~creative(X0) | wise(X0)) <=> (funny(X0) <~> wise(X0))) [input ... | 0 |
If someone is both creative and not rich then john is either not rich or curious. If someone is not rich or not generous then someone is wise and vice versa. Everyone who is either not old or humble is both patient and not old and vice versa. Everyone who is either patient or not generous is strong. If fred is not gene... | Paul is calm. | neutral | ((?[X]:((creative(X)&~rich(X))))=>((~rich(john)<~>curious(john))))&
((?[X]:((~rich(X)|~generous(X))))<=>(?[X]:(wise(X))))&
(![X]:((~old(X)<~>humble(X))<=>(patient(X)&~old(X))))&
(![X]:((patient(X)<~>~generous(X))=>strong(X)))&
(((~generous(fred)|curious(fred)))<=>(?[X]:((~old(X)<~>generous(X)))))&
((?[X]:((rich(X)|happ... | calm(paul) | [] | null | 0 |
Everyone who is humble is patient and vice versa.
If someone is not rich or quiet then susan is not rich and vice versa.
If alice is both calm and not wise then mary is both not patient and funny.
If someone is both not happy and strong then fred is tall or wise and vice versa.
Everyone who is either not humble or gene... | Paul is creative. | neutral | (![X]:(humble(X)<=>patient(X)))&
((?[X]:((~rich(X)|quiet(X))))<=>(~rich(susan)))&
(((calm(alice)&~wise(alice)))=>((~patient(mary)&funny(mary))))&
((?[X]:((~happy(X)&strong(X))))<=>((tall(fred)|wise(fred))))&
(![X]:((~humble(X)<~>generous(X))=>(funny(X)<~>generous(X))))&
((?[X]:((~quiet(X)<~>~patient(X))))<=>(brave(paul... | creative(paul) | [] | null | 0 |
If someone is both not brave and not creative then someone is wise and vice versa.
Everyone who is humble is both tall and humble.
Everyone who is both calm and not humble is patient and vice versa.
Everyone who is both happy and not rich is not brave.
If someone is not old or kind then john is either not brave or not ... | Fred is tall. | neutral | ((?[X]:((~brave(X)&~creative(X))))<=>(?[X]:(wise(X))))&
(![X]:(humble(X)=>(tall(X)&humble(X))))&
(![X]:((calm(X)&~humble(X))<=>patient(X)))&
(![X]:((happy(X)&~rich(X))=>~brave(X)))&
((?[X]:((~old(X)|kind(X))))=>((~brave(john)<~>~creative(john))))&
((~wise(paul))=>(~calm(fred)))&
(((funny(mary)&~tall(mary)))<=>(?[X]:((~... | tall(fred) | [] | null | 0 |
Everyone who is either generous or curious is generous or not creative and vice versa.
Everyone who is both not creative and not brave is not creative or curious and vice versa.
Everyone who is curious is not old and vice versa.
If alice is either not tall or kind then someone is not kind and vice versa.
Everyone who i... | Mary is not old. | entailment | (![X]:((generous(X)<~>curious(X))<=>(generous(X)|~creative(X))))&
(![X]:((~creative(X)&~brave(X))<=>(~creative(X)|curious(X))))&
(![X]:(curious(X)<=>~old(X)))&
(((~tall(alice)<~>kind(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((generous(X)&quiet(X))<=>(curious(X)<~>~quiet(X))))&
(![X]:((~kind(X)<~>tall(X))=>(~funny(X)|~curio... | ~old(mary) | [
"p0",
"p2",
"p4",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1246104556357631664429271
% SZS output start Proof for 1246104556357631664429271
1. ! [X0] : ((generous(X0) <~> curious(X0)) <=> (~creative(X0) | generous(X0))) [input p0]
3. ! [X0] : (curious(X0) <=> ~old(X0)) [input p2]
5. ! [X0] : ((quiet(X0) & generous(X0)) <=> (curious(X0) <~> ~quiet... | 0 |
Everyone who is either rich or brave is either not creative or old and vice versa. Everyone who is either not kind or curious is not rich or not old. Everyone who is either humble or not curious is either not quiet or not humble and vice versa. Everyone who is tall is either quiet or not strong and vice versa. If someo... | Fred is old. | neutral | (![X]:((rich(X)<~>brave(X))<=>(~creative(X)<~>old(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~rich(X)|~old(X))))&
(![X]:((humble(X)<~>~curious(X))<=>(~quiet(X)<~>~humble(X))))&
(![X]:(tall(X)<=>(quiet(X)<~>~strong(X))))&
((?[X]:((~tall(X)<~>~humble(X))))=>(?[X]:(funny(X))))&
(![X]:(~creative(X)=>(~kind(X)|tall(X))))&
((?[... | old(fred) | [] | null | 0 |
Everyone who is either quiet or not old is tall and vice versa. If john is not calm then someone is creative and vice versa. Everyone who is kind or curious is either not old or funny and vice versa. Everyone who is either funny or not wise is both strong and not patient and vice versa. Everyone who is either curious o... | John is not tall. | neutral | (![X]:((quiet(X)<~>~old(X))<=>tall(X)))&
((~calm(john))<=>(?[X]:(creative(X))))&
(![X]:((kind(X)|curious(X))<=>(~old(X)<~>funny(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(strong(X)&~patient(X))))&
(![X]:((curious(X)<~>~strong(X))<=>(funny(X)<~>~creative(X))))&
(![X]:(curious(X)<=>(funny(X)|strong(X))))&
(![X]:(~wise(X)<=>(... | ~tall(john) | [] | null | 0 |
Everyone who is both not brave and happy is wise or not creative. Everyone who is not wise is either not funny or quiet and vice versa. Everyone who is calm or wise is not tall and vice versa. Everyone who is both tall and not funny is not tall and vice versa. Everyone who is not patient or not brave is either funny or... | Susan is tall. | entailment | (![X]:((~brave(X)&happy(X))=>(wise(X)|~creative(X))))&
(![X]:(~wise(X)<=>(~funny(X)<~>quiet(X))))&
(![X]:((calm(X)|wise(X))<=>~tall(X)))&
(![X]:((tall(X)&~funny(X))<=>~tall(X)))&
(![X]:((~patient(X)|~brave(X))<=>(funny(X)<~>~funny(X))))&
(((~brave(alice)<~>~funny(alice)))=>(?[X]:((old(X)&strong(X)))))&
(![X]:((humble(X... | tall(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7187169024755659120132004
% SZS output start Proof for 7187169024755659120132004
4. ! [X0] : ((~funny(X0) & tall(X0)) <=> ~tall(X0)) [input p3]
23. ~tall(susan) [input hypothesis]
42. ! [X0] : (((~funny(X0) & tall(X0)) | tall(X0)) & (~tall(X0) | (funny(X0) | ~tall(X0)))) [nnf transformati... | 0 |
Everyone who is creative or kind is curious or rich and vice versa.
Everyone who is wise is either not brave or kind.
If susan is patient then someone is either not brave or not quiet.
Everyone who is rich or curious is not wise.
Everyone who is not tall or not funny is either happy or not humble and vice versa.
Everyo... | John is not quiet. | contradiction | (![X]:((creative(X)|kind(X))<=>(curious(X)|rich(X))))&
(![X]:(wise(X)=>(~brave(X)<~>kind(X))))&
((patient(susan))=>(?[X]:((~brave(X)<~>~quiet(X)))))&
(![X]:((rich(X)|curious(X))=>~wise(X)))&
(![X]:((~tall(X)|~funny(X))<=>(happy(X)<~>~humble(X))))&
(![X]:((kind(X)&strong(X))=>rich(X)))&
(((~rich(john)|quiet(john)))<=>(?... | ~quiet(john) | [
"p0",
"p3",
"p5",
"p6",
"p7",
"p11",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 775126238333241206818620
% SZS output start Proof for 775126238333241206818620
1. ! [X0] : ((kind(X0) | creative(X0)) <=> (rich(X0) | curious(X0))) [input p0]
4. ! [X0] : ((curious(X0) | rich(X0)) => ~wise(X0)) [input p3]
6. ! [X0] : ((strong(X0) & kind(X0)) => rich(X0)) [input p5]
7. (qu... | 0 |
If mary is either not happy or curious then mary is brave and vice versa. If mary is both happy and not tall then someone is not funny. If lucy is creative or humble then alice is not calm or not creative and vice versa. Everyone who is not creative or funny is not rich or not generous and vice versa. Everyone who is b... | Fred is creative. | neutral | (((~happy(mary)<~>curious(mary)))<=>(brave(mary)))&
(((happy(mary)&~tall(mary)))=>(?[X]:(~funny(X))))&
(((creative(lucy)|humble(lucy)))<=>((~calm(alice)|~creative(alice))))&
(![X]:((~creative(X)|funny(X))<=>(~rich(X)|~generous(X))))&
(![X]:((~curious(X)&~funny(X))<=>(curious(X)&kind(X))))&
(![X]:((wise(X)&~funny(X))<=>... | creative(fred) | [] | null | 0 |
Everyone who is not quiet or rich is not brave or not calm. Everyone who is not kind or calm is wise. If fred is not patient then someone is strong and vice versa. If someone is not happy or rich then paul is not creative and vice versa. Everyone who is not calm is either not calm or kind. Everyone who is not creative ... | Fred is happy. | entailment | (![X]:((~quiet(X)|rich(X))=>(~brave(X)|~calm(X))))&
(![X]:((~kind(X)|calm(X))=>wise(X)))&
((~patient(fred))<=>(?[X]:(strong(X))))&
((?[X]:((~happy(X)|rich(X))))<=>(~creative(paul)))&
(![X]:(~calm(X)=>(~calm(X)<~>kind(X))))&
(![X]:(~creative(X)<=>(calm(X)|curious(X))))&
(![X]:((~wise(X)<~>creative(X))=>old(X)))&
(((~pat... | happy(fred) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6181718042393290713821400
% SZS output start Proof for 6181718042393290713821400
4. ? [X0] : (rich(X0) | ~happy(X0)) <=> ~creative(paul) [input p3]
9. ! [X0] : (~creative(X0) => (rich(X0) & ~rich(X0))) [input p8]
24. ~happy(fred) [input hypothesis]
33. ! [X0] : ((rich(X0) & ~rich(X0)) | c... | 0 |
Everyone who is not quiet or not strong is not rich or not tall and vice versa.
If paul is not creative then someone is not old or tall.
If paul is both calm and wise then someone is funny or happy and vice versa.
If someone is both brave and not quiet then susan is both not kind and not wise.
Everyone who is either no... | Susan is happy. | contradiction | (![X]:((~quiet(X)|~strong(X))<=>(~rich(X)|~tall(X))))&
((~creative(paul))=>(?[X]:((~old(X)|tall(X)))))&
(((calm(paul)&wise(paul)))<=>(?[X]:((funny(X)|happy(X)))))&
((?[X]:((brave(X)&~quiet(X))))=>((~kind(susan)&~wise(susan))))&
(![X]:((~strong(X)<~>happy(X))=>(happy(X)|quiet(X))))&
(![X]:((~creative(X)<~>~generous(X))<... | happy(susan) | [
"p6",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3181507804787692193751509
% SZS output start Proof for 3181507804787692193751509
7. ! [X0] : ((~happy(X0) & quiet(X0)) <=> (tall(X0) | ~generous(X0))) [input p6]
9. ? [X0] : (~tall(X0) | funny(X0)) <=> funny(john) [input p8]
15. ! [X0] : (funny(X0) => (~wise(X0) & wise(X0))) [input p14]
2... | 0 |
Everyone who is not rich is both calm and kind and vice versa. If someone is strong or not wise then someone is rich or creative and vice versa. Everyone who is both not brave and not curious is either creative or not happy and vice versa. If someone is either generous or not tall then someone is not curious or curious... | Susan is kind. | neutral | (![X]:(~rich(X)<=>(calm(X)&kind(X))))&
((?[X]:((strong(X)|~wise(X))))<=>(?[X]:((rich(X)|creative(X)))))&
(![X]:((~brave(X)&~curious(X))<=>(creative(X)<~>~happy(X))))&
((?[X]:((generous(X)<~>~tall(X))))<=>(?[X]:((~curious(X)|curious(X)))))&
(((humble(lucy)|funny(lucy)))=>(?[X]:((quiet(X)&wise(X)))))&
((~old(john))<=>(?[... | kind(susan) | [] | null | 0 |
If someone is either not creative or not strong then susan is not quiet.
Everyone who is either not old or funny is not funny or not wise.
Everyone who is either not curious or not quiet is calm.
If lucy is both funny and not rich then mary is patient.
Everyone who is not wise is rich or brave.
Everyone who is brave is... | Paul is humble. | neutral | ((?[X]:((~creative(X)<~>~strong(X))))=>(~quiet(susan)))&
(![X]:((~old(X)<~>funny(X))=>(~funny(X)|~wise(X))))&
(![X]:((~curious(X)<~>~quiet(X))=>calm(X)))&
(((funny(lucy)&~rich(lucy)))=>(patient(mary)))&
(![X]:(~wise(X)=>(rich(X)|brave(X))))&
(![X]:(brave(X)=>(~quiet(X)&~generous(X))))&
((?[X]:(kind(X)))=>((~wise(lucy)|... | humble(paul) | [] | null | 0 |
If someone is not funny then someone is creative or not kind and vice versa.
If john is not brave then lucy is either tall or not tall and vice versa.
Everyone who is either humble or not creative is either patient or not happy and vice versa.
If alice is either humble or not quiet then someone is rich and vice versa.
... | Paul is not generous. | neutral | ((?[X]:(~funny(X)))<=>(?[X]:((creative(X)|~kind(X)))))&
((~brave(john))<=>((tall(lucy)<~>~tall(lucy))))&
(![X]:((humble(X)<~>~creative(X))<=>(patient(X)<~>~happy(X))))&
(((humble(alice)<~>~quiet(alice)))<=>(?[X]:(rich(X))))&
((?[X]:((~humble(X)|humble(X))))=>(?[X]:(~kind(X))))&
(![X]:(~old(X)<=>(humble(X)|~wise(X))))&
... | ~generous(paul) | [] | null | 0 |
Everyone who is both curious and not curious is both brave and not humble and vice versa.
If someone is creative or not patient then someone is not humble or patient.
Everyone who is either funny or not happy is rich or old and vice versa.
If paul is either not strong or not old then lucy is either not rich or not old.... | Alice is brave. | entailment | (![X]:((curious(X)&~curious(X))<=>(brave(X)&~humble(X))))&
((?[X]:((creative(X)|~patient(X))))=>(?[X]:((~humble(X)|patient(X)))))&
(![X]:((funny(X)<~>~happy(X))<=>(rich(X)|old(X))))&
(((~strong(paul)<~>~old(paul)))=>((~rich(lucy)<~>~old(lucy))))&
((?[X]:((calm(X)&creative(X))))<=>((calm(paul)<~>humble(paul))))&
(![X]:(... | brave(alice) | [
"p2",
"p7",
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5544679560098400318925385
% SZS output start Proof for 5544679560098400318925385
3. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (old(X0) | rich(X0))) [input p2]
8. ! [X0] : ((old(X0) | ~creative(X0)) <=> (~happy(X0) & old(X0))) [input p7]
9. ! [X0] : ((~brave(X0) <~> kind(X0)) <=> (kind(X0) ... | 0 |
Everyone who is generous is not curious.
If mary is wise or quiet then someone is both not generous and not patient and vice versa.
If lucy is either wise or not old then someone is not funny and vice versa.
Everyone who is either quiet or calm is patient or not happy and vice versa.
If someone is either curious or not... | Fred is happy. | contradiction | (![X]:(generous(X)=>~curious(X)))&
(((wise(mary)|quiet(mary)))<=>(?[X]:((~generous(X)&~patient(X)))))&
(((wise(lucy)<~>~old(lucy)))<=>(?[X]:(~funny(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(patient(X)|~happy(X))))&
((?[X]:((curious(X)<~>~strong(X))))<=>(?[X]:((~funny(X)|~curious(X)))))&
(![X]:((~strong(X)|~tall(X))<=>(~pat... | happy(fred) | [
"p3",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 914605980128413706896388
% SZS output start Proof for 914605980128413706896388
4. ! [X0] : ((quiet(X0) <~> calm(X0)) <=> (~happy(X0) | patient(X0))) [input p3]
10. ! [X0] : ((~happy(X0) & ~old(X0)) <=> (tall(X0) | ~humble(X0))) [input p9]
13. ? [X0] : (~tall(X0) | kind(X0)) => (quiet(fred... | 0 |
If someone is both not rich and creative then paul is both quiet and patient and vice versa.
Everyone who is humble is both not rich and not happy.
Everyone who is either not generous or old is both not brave and not strong.
If susan is not old or not happy then someone is either old or not old.
Everyone who is both no... | Alice is brave. | neutral | ((?[X]:((~rich(X)&creative(X))))<=>((quiet(paul)&patient(paul))))&
(![X]:(humble(X)=>(~rich(X)&~happy(X))))&
(![X]:((~generous(X)<~>old(X))=>(~brave(X)&~strong(X))))&
(((~old(susan)|~happy(susan)))=>(?[X]:((old(X)<~>~old(X)))))&
(![X]:((~old(X)&~generous(X))<=>~curious(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:((~qu... | brave(alice) | [] | null | 0 |
If someone is both generous and not rich then someone is creative and vice versa.
Everyone who is either quiet or not patient is either not strong or funny and vice versa.
Everyone who is both not curious and tall is both not tall and not generous and vice versa.
Everyone who is not funny or brave is funny or not curio... | Paul is quiet. | entailment | ((?[X]:((generous(X)&~rich(X))))<=>(?[X]:(creative(X))))&
(![X]:((quiet(X)<~>~patient(X))<=>(~strong(X)<~>funny(X))))&
(![X]:((~curious(X)&tall(X))<=>(~tall(X)&~generous(X))))&
(![X]:((~funny(X)|brave(X))<=>(funny(X)|~curious(X))))&
(![X]:((humble(X)&generous(X))<=>(generous(X)&kind(X))))&
(![X]:((~curious(X)&old(X))=>... | quiet(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3425287192645157872526814
% SZS output start Proof for 3425287192645157872526814
20. quiet(paul) [input p19]
25. ~quiet(paul) [input hypothesis]
138. quiet(paul) [cnf transformation 20]
145. ~quiet(paul) [cnf transformation 25]
273. 29 <=> quiet(paul) [avatar definition]
290. 29 [avatar s... | 0 |
Everyone who is both funny and not funny is not humble or not calm and vice versa. If someone is not strong then fred is either not tall or not happy and vice versa. Everyone who is either not funny or old is both not calm and not strong and vice versa. If paul is either not quiet or not calm then john is curious or ge... | Paul is not strong. | contradiction | (![X]:((funny(X)&~funny(X))<=>(~humble(X)|~calm(X))))&
((?[X]:(~strong(X)))<=>((~tall(fred)<~>~happy(fred))))&
(![X]:((~funny(X)<~>old(X))<=>(~calm(X)&~strong(X))))&
(((~quiet(paul)<~>~calm(paul)))<=>((curious(john)|generous(john))))&
(![X]:(~old(X)=>(wise(X)&humble(X))))&
(![X]:(~strong(X)<=>(~old(X)<~>~humble(X))))&
... | ~strong(paul) | [
"p0",
"p4",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7249549583344659519945046
% SZS output start Proof for 7249549583344659519945046
1. ! [X0] : ((~funny(X0) & funny(X0)) <=> (~calm(X0) | ~humble(X0))) [input p0]
5. ! [X0] : (~old(X0) => (humble(X0) & wise(X0))) [input p4]
6. ! [X0] : (~strong(X0) <=> (~old(X0) <~> ~humble(X0))) [input p5]... | 0 |
Everyone who is patient or not humble is either generous or not calm.
If someone is either not creative or quiet then alice is either quiet or not kind and vice versa.
Everyone who is kind or not kind is both calm and not patient and vice versa.
If john is both not patient and not creative then fred is wise.
Everyone w... | John is old. | entailment | (![X]:((patient(X)|~humble(X))=>(generous(X)<~>~calm(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>((quiet(alice)<~>~kind(alice))))&
(![X]:((kind(X)|~kind(X))<=>(calm(X)&~patient(X))))&
(((~patient(john)&~creative(john)))=>(wise(fred)))&
(![X]:(~humble(X)=>(~creative(X)|curious(X))))&
((~happy(john))<=>(?[X]:((~wise(X)<... | old(john) | [
"p0",
"p2",
"p5",
"p7",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7759233510876734025895214
% SZS output start Proof for 7759233510876734025895214
1. ! [X0] : ((~humble(X0) | patient(X0)) => (generous(X0) <~> ~calm(X0))) [input p0]
3. ! [X0] : ((~kind(X0) | kind(X0)) <=> (~patient(X0) & calm(X0))) [input p2]
6. ~happy(john) <=> ? [X0] : (~wise(X0) <~> ~... | 0 |
Everyone who is either not kind or curious is both kind and not patient.
If someone is not rich or not strong then john is not creative.
Everyone who is both not old and not funny is not old or rich and vice versa.
If paul is both strong and not tall then someone is generous or calm and vice versa.
If someone is not ge... | Lucy is kind. | entailment | (![X]:((~kind(X)<~>curious(X))=>(kind(X)&~patient(X))))&
((?[X]:((~rich(X)|~strong(X))))=>(~creative(john)))&
(![X]:((~old(X)&~funny(X))<=>(~old(X)|rich(X))))&
(((strong(paul)&~tall(paul)))<=>(?[X]:((generous(X)|calm(X)))))&
((?[X]:((~generous(X)|rich(X))))<=>(?[X]:((~brave(X)|~calm(X)))))&
(((~old(susan)&~calm(susan))... | kind(lucy) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1919898841483820362455728
% SZS output start Proof for 1919898841483820362455728
1. ! [X0] : ((~kind(X0) <~> curious(X0)) => (~patient(X0) & kind(X0))) [input p0]
19. ~curious(lucy) [input p18]
25. ~kind(lucy) [input hypothesis]
32. ! [X0] : ((~patient(X0) & kind(X0)) | (~kind(X0) <=> cur... | 0 |
If mary is either generous or not creative then someone is both not creative and funny and vice versa. Everyone who is not wise is both humble and kind and vice versa. Everyone who is both not kind and rich is either happy or quiet and vice versa. If someone is creative or not creative then someone is both not patient ... | John is kind. | contradiction | (((generous(mary)<~>~creative(mary)))<=>(?[X]:((~creative(X)&funny(X)))))&
(![X]:(~wise(X)<=>(humble(X)&kind(X))))&
(![X]:((~kind(X)&rich(X))<=>(happy(X)<~>quiet(X))))&
((?[X]:((creative(X)|~creative(X))))=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:((~curious(X)<~>curious(X))))<=>((strong(john)<~>patient(john))))&
(![X]:... | kind(john) | [
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3977137017624289041490482
% SZS output start Proof for 3977137017624289041490482
6. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> ~old(X0)) [input p5]
7. ! [X0] : ((happy(X0) <~> ~curious(X0)) <=> old(X0)) [input p6]
14. ! [X0] : ((calm(X0) | curious(X0)) <=> ~kind(X0)) [input p13]
24. kind(john... | 0 |
If paul is not wise or not rich then susan is not tall or funny and vice versa.
Everyone who is either rich or not creative is both not tall and kind and vice versa.
Everyone who is both tall and generous is curious.
If someone is either not calm or strong then someone is not patient and vice versa.
If someone is not p... | Mary is not kind. | contradiction | (((~wise(paul)|~rich(paul)))<=>((~tall(susan)|funny(susan))))&
(![X]:((rich(X)<~>~creative(X))<=>(~tall(X)&kind(X))))&
(![X]:((tall(X)&generous(X))=>curious(X)))&
((?[X]:((~calm(X)<~>strong(X))))<=>(?[X]:(~patient(X))))&
((?[X]:((~patient(X)|~happy(X))))<=>((~humble(susan)|funny(susan))))&
(![X]:((~strong(X)&~old(X))=>... | ~kind(mary) | [
"p1",
"p5",
"p6",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5748124830892794667850411
% SZS output start Proof for 5748124830892794667850411
2. ! [X0] : ((rich(X0) <~> ~creative(X0)) <=> (kind(X0) & ~tall(X0))) [input p1]
6. ! [X0] : ((~old(X0) & ~strong(X0)) => rich(X0)) [input p5]
7. ! [X0] : ((creative(X0) & strong(X0)) <=> (~tall(X0) & brave(X... | 0 |
Everyone who is not creative is not kind or not funny and vice versa.
If lucy is kind then fred is either not old or not rich and vice versa.
If someone is strong then fred is both not patient and quiet and vice versa.
Everyone who is either calm or not patient is not rich or happy and vice versa.
Everyone who is both ... | John is not kind. | contradiction | (![X]:(~creative(X)<=>(~kind(X)|~funny(X))))&
((kind(lucy))<=>((~old(fred)<~>~rich(fred))))&
((?[X]:(strong(X)))<=>((~patient(fred)&quiet(fred))))&
(![X]:((calm(X)<~>~patient(X))<=>(~rich(X)|happy(X))))&
(![X]:((tall(X)&generous(X))=>(kind(X)&wise(X))))&
((?[X]:((~funny(X)<~>~tall(X))))=>(?[X]:((creative(X)<~>~calm(X))... | ~kind(john) | [
"p0",
"p6",
"p9",
"p10",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2540484642362913428894620
% SZS output start Proof for 2540484642362913428894620
1. ! [X0] : (~creative(X0) <=> (~funny(X0) | ~kind(X0))) [input p0]
7. ! [X0] : ((brave(X0) | tall(X0)) => ~funny(X0)) [input p6]
10. ! [X0] : (humble(X0) => (~generous(X0) & generous(X0))) [input p9]
11. ! [... | 0 |
Everyone who is humble is either not curious or not creative.
If alice is not funny or quiet then someone is not happy and vice versa.
Everyone who is calm or wise is not rich and vice versa.
If someone is quiet then john is not strong and vice versa.
If someone is both brave and humble then susan is not wise or rich a... | Paul is not funny. | neutral | (![X]:(humble(X)=>(~curious(X)<~>~creative(X))))&
(((~funny(alice)|quiet(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((calm(X)|wise(X))<=>~rich(X)))&
((?[X]:(quiet(X)))<=>(~strong(john)))&
((?[X]:((brave(X)&humble(X))))<=>((~wise(susan)|rich(susan))))&
(![X]:((quiet(X)&~tall(X))<=>(~tall(X)<~>quiet(X))))&
(((~brave(paul)<~>~... | ~funny(paul) | [] | null | 0 |
Everyone who is either old or curious is old or rich and vice versa.
Everyone who is not creative or not curious is either not tall or tall.
If someone is patient then mary is happy or rich.
If someone is not wise then fred is both funny and not tall and vice versa.
If someone is not patient then susan is quiet or not ... | Mary is not humble. | neutral | (![X]:((old(X)<~>curious(X))<=>(old(X)|rich(X))))&
(![X]:((~creative(X)|~curious(X))=>(~tall(X)<~>tall(X))))&
((?[X]:(patient(X)))=>((happy(mary)|rich(mary))))&
((?[X]:(~wise(X)))<=>((funny(fred)&~tall(fred))))&
((?[X]:(~patient(X)))<=>((quiet(susan)|~funny(susan))))&
(![X]:(curious(X)<=>(~tall(X)|~happy(X))))&
(((~qui... | ~humble(mary) | [] | null | 0 |
Everyone who is rich or patient is both old and not brave and vice versa.
Everyone who is happy is not kind or tall.
Everyone who is not patient or not curious is not creative or not curious and vice versa.
If someone is rich then alice is both generous and funny and vice versa.
Everyone who is old is both not wise and... | John is not calm. | entailment | (![X]:((rich(X)|patient(X))<=>(old(X)&~brave(X))))&
(![X]:(happy(X)=>(~kind(X)|tall(X))))&
(![X]:((~patient(X)|~curious(X))<=>(~creative(X)|~curious(X))))&
((?[X]:(rich(X)))<=>((generous(alice)&funny(alice))))&
(![X]:(old(X)=>(~wise(X)&~calm(X))))&
(((creative(susan)<~>quiet(susan)))=>(?[X]:((quiet(X)<~>wise(X)))))&
(!... | ~calm(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5159894584031672068970298
% SZS output start Proof for 5159894584031672068970298
16. ? [X0] : (calm(X0) | ~funny(X0)) <=> (quiet(susan) & ~quiet(susan)) [input p15]
25. calm(john) [input hypothesis]
68. (? [X0] : (calm(X0) | ~funny(X0)) | (~quiet(susan) | quiet(susan))) & ((quiet(susan) &... | 0 |
If alice is brave then lucy is either humble or not calm and vice versa.
Everyone who is not brave or brave is either kind or patient.
If someone is not strong then lucy is either not kind or brave and vice versa.
Everyone who is either not humble or funny is either funny or not quiet.
If someone is not funny then susa... | Paul is not patient. | entailment | ((brave(alice))<=>((humble(lucy)<~>~calm(lucy))))&
(![X]:((~brave(X)|brave(X))=>(kind(X)<~>patient(X))))&
((?[X]:(~strong(X)))<=>((~kind(lucy)<~>brave(lucy))))&
(![X]:((~humble(X)<~>funny(X))=>(funny(X)<~>~quiet(X))))&
((?[X]:(~funny(X)))=>((~funny(susan)|~quiet(susan))))&
((?[X]:(~rich(X)))=>((brave(susan)|calm(susan)... | ~patient(paul) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4355505055544757531264563
% SZS output start Proof for 4355505055544757531264563
2. ! [X0] : ((brave(X0) | ~brave(X0)) => (kind(X0) <~> patient(X0))) [input p1]
16. ? [X0] : (~patient(X0) | patient(X0)) <=> (kind(paul) & ~strong(paul)) [input p15]
25. patient(paul) [input hypothesis]
29. ... | 0 |
If susan is either not strong or not happy then mary is not brave and vice versa.
Everyone who is both not humble and not old is both not wise and tall and vice versa.
If someone is both kind and brave then lucy is both patient and not humble.
Everyone who is not strong is not patient or not happy and vice versa.
Every... | Lucy is strong. | entailment | (((~strong(susan)<~>~happy(susan)))<=>(~brave(mary)))&
(![X]:((~humble(X)&~old(X))<=>(~wise(X)&tall(X))))&
((?[X]:((kind(X)&brave(X))))=>((patient(lucy)&~humble(lucy))))&
(![X]:(~strong(X)<=>(~patient(X)|~happy(X))))&
(![X]:((old(X)&~happy(X))<=>(brave(X)<~>kind(X))))&
(![X]:(rich(X)<=>kind(X)))&
((?[X]:(~wise(X)))<=>(... | strong(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7661135608008422719940431
% SZS output start Proof for 7661135608008422719940431
1. (~strong(susan) <~> ~happy(susan)) <=> ~brave(mary) [input p0]
3. ? [X0] : (brave(X0) & kind(X0)) => (~humble(lucy) & patient(lucy)) [input p2]
4. ! [X0] : (~strong(X0) <=> (~happy(X0) | ~patient(X0))) [in... | 0 |
Everyone who is not strong is brave or wise. Everyone who is both not old and not quiet is either not funny or old and vice versa. If someone is not strong then lucy is not calm or rich and vice versa. Everyone who is both not old and wise is either not tall or not rich. Everyone who is either not old or not happy is n... | Fred is not creative. | neutral | (![X]:(~strong(X)=>(brave(X)|wise(X))))&
(![X]:((~old(X)&~quiet(X))<=>(~funny(X)<~>old(X))))&
((?[X]:(~strong(X)))<=>((~calm(lucy)|rich(lucy))))&
(![X]:((~old(X)&wise(X))=>(~tall(X)<~>~rich(X))))&
(![X]:((~old(X)<~>~happy(X))<=>(~brave(X)|~funny(X))))&
((?[X]:((~strong(X)<~>~quiet(X))))<=>((~humble(mary)&~strong(mary))... | ~creative(fred) | [] | null | 0 |
If someone is both not brave and not generous then alice is funny. Everyone who is not quiet is strong or old and vice versa. Everyone who is not funny or quiet is either not happy or not generous. If mary is not patient then paul is brave and vice versa. If lucy is rich or not happy then alice is not old. Everyone who... | Alice is brave. | neutral | ((?[X]:((~brave(X)&~generous(X))))=>(funny(alice)))&
(![X]:(~quiet(X)<=>(strong(X)|old(X))))&
(![X]:((~funny(X)|quiet(X))=>(~happy(X)<~>~generous(X))))&
((~patient(mary))<=>(brave(paul)))&
(((rich(lucy)|~happy(lucy)))=>(~old(alice)))&
(![X]:(funny(X)=>(~quiet(X)<~>tall(X))))&
(![X]:((curious(X)<~>~humble(X))=>~funny(X)... | brave(alice) | [] | null | 0 |
Everyone who is generous or old is both brave and funny.
If alice is not old or tall then john is either wise or not brave.
Everyone who is either creative or not humble is both not humble and not wise.
Everyone who is both calm and not tall is patient and vice versa.
If someone is not happy or rich then someone is bra... | John is not creative. | neutral | (![X]:((generous(X)|old(X))=>(brave(X)&funny(X))))&
(((~old(alice)|tall(alice)))=>((wise(john)<~>~brave(john))))&
(![X]:((creative(X)<~>~humble(X))=>(~humble(X)&~wise(X))))&
(![X]:((calm(X)&~tall(X))<=>patient(X)))&
((?[X]:((~happy(X)|rich(X))))<=>(?[X]:(brave(X))))&
(((~wise(alice)|rich(alice)))=>(?[X]:((funny(X)<~>~h... | ~creative(john) | [] | null | 0 |
Everyone who is either quiet or not creative is creative and vice versa.
Everyone who is either patient or humble is happy and vice versa.
If alice is wise or not strong then mary is both rich and funny and vice versa.
If someone is either not funny or curious then someone is creative.
Everyone who is patient is humble... | John is not quiet. | contradiction | (![X]:((quiet(X)<~>~creative(X))<=>creative(X)))&
(![X]:((patient(X)<~>humble(X))<=>happy(X)))&
(((wise(alice)|~strong(alice)))<=>((rich(mary)&funny(mary))))&
((?[X]:((~funny(X)<~>curious(X))))=>(?[X]:(creative(X))))&
(![X]:(patient(X)=>(humble(X)|happy(X))))&
((?[X]:((~old(X)&~happy(X))))=>((kind(alice)&happy(alice)))... | ~quiet(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1469304001457249380575035
% SZS output start Proof for 1469304001457249380575035
1. ! [X0] : ((quiet(X0) <~> ~creative(X0)) <=> creative(X0)) [input p0]
25. ~quiet(john) [input hypothesis]
46. ! [X0] : ((((creative(X0) | ~quiet(X0)) & (~creative(X0) | quiet(X0))) | ~creative(X0)) & (creat... | 0 |
If someone is both funny and not curious then someone is either not wise or rich. Everyone who is both not rich and not generous is not quiet. If lucy is either not strong or not generous then someone is not calm and vice versa. Everyone who is not calm is not creative and vice versa. If lucy is tall or generous then s... | Susan is not generous. | neutral | ((?[X]:((funny(X)&~curious(X))))=>(?[X]:((~wise(X)<~>rich(X)))))&
(![X]:((~rich(X)&~generous(X))=>~quiet(X)))&
(((~strong(lucy)<~>~generous(lucy)))<=>(?[X]:(~calm(X))))&
(![X]:(~calm(X)<=>~creative(X)))&
(((tall(lucy)|generous(lucy)))=>(~creative(susan)))&
(((generous(lucy)<~>tall(lucy)))=>(?[X]:((~humble(X)|old(X)))))... | ~generous(susan) | [] | null | 0 |
If fred is either humble or patient then mary is both not rich and not tall.
If susan is generous or old then someone is both not brave and rich and vice versa.
If john is patient or not generous then fred is not patient.
Everyone who is strong is both humble and strong and vice versa.
Everyone who is not patient or no... | Fred is generous. | entailment | (((humble(fred)<~>patient(fred)))=>((~rich(mary)&~tall(mary))))&
(((generous(susan)|old(susan)))<=>(?[X]:((~brave(X)&rich(X)))))&
(((patient(john)|~generous(john)))=>(~patient(fred)))&
(![X]:(strong(X)<=>(humble(X)&strong(X))))&
(![X]:((~patient(X)|~generous(X))<=>(~happy(X)<~>~rich(X))))&
(((~kind(susan)<~>patient(sus... | generous(fred) | [
"p3",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3404665921653091919188980
% SZS output start Proof for 3404665921653091919188980
4. ! [X0] : (strong(X0) <=> (strong(X0) & humble(X0))) [input p3]
7. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> tall(X0)) [input p6]
12. (~humble(john) <~> tall(john)) <=> ? [X0] : (~generous(X0) | ~strong(X0)... | 0 |
If someone is humble or wise then someone is not strong or funny.
If alice is either not wise or not patient then paul is happy or not old.
If alice is not strong or not wise then susan is either not creative or not tall.
Everyone who is humble is not rich or not patient and vice versa.
If paul is both not humble and q... | Susan is rich. | neutral | ((?[X]:((humble(X)|wise(X))))=>(?[X]:((~strong(X)|funny(X)))))&
(((~wise(alice)<~>~patient(alice)))=>((happy(paul)|~old(paul))))&
(((~strong(alice)|~wise(alice)))=>((~creative(susan)<~>~tall(susan))))&
(![X]:(humble(X)<=>(~rich(X)|~patient(X))))&
(((~humble(paul)&quiet(paul)))=>((~happy(john)&~rich(john))))&
(((~kind(j... | rich(susan) | [] | null | 0 |
If john is both not generous and curious then john is not tall and vice versa. Everyone who is rich is either not funny or not calm. If paul is both calm and kind then someone is not strong. If someone is either not wise or not humble then someone is either tall or brave. Everyone who is both not curious and not funny ... | John is wise. | neutral | (((~generous(john)&curious(john)))<=>(~tall(john)))&
(![X]:(rich(X)=>(~funny(X)<~>~calm(X))))&
(((calm(paul)&kind(paul)))=>(?[X]:(~strong(X))))&
((?[X]:((~wise(X)<~>~humble(X))))=>(?[X]:((tall(X)<~>brave(X)))))&
(![X]:((~curious(X)&~funny(X))=>(curious(X)|~curious(X))))&
(![X]:((~kind(X)<~>strong(X))=>(generous(X)<~>~w... | wise(john) | [] | null | 0 |
If someone is rich or strong then susan is both not quiet and humble and vice versa.
Everyone who is both not patient and old is creative or not generous and vice versa.
If susan is curious then someone is both not patient and rich and vice versa.
If someone is humble then someone is not funny or not humble and vice ve... | John is not creative. | neutral | ((?[X]:((rich(X)|strong(X))))<=>((~quiet(susan)&humble(susan))))&
(![X]:((~patient(X)&old(X))<=>(creative(X)|~generous(X))))&
((curious(susan))<=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((~funny(X)|~humble(X)))))&
(![X]:((~wise(X)<~>~calm(X))=>(kind(X)<~>~strong(X))))&
(![X]:((~quiet(X)<~>creative(... | ~creative(john) | [] | null | 0 |
If susan is either not rich or old then lucy is both not curious and not kind. If someone is old or brave then fred is not patient and vice versa. Everyone who is either brave or not generous is quiet or old. Everyone who is not patient or humble is not tall and vice versa. If someone is not happy then mary is not happ... | John is not old. | entailment | (((~rich(susan)<~>old(susan)))=>((~curious(lucy)&~kind(lucy))))&
((?[X]:((old(X)|brave(X))))<=>(~patient(fred)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall(X)))&
((?[X]:(~happy(X)))=>(~happy(mary)))&
(![X]:((generous(X)|rich(X))=>(curious(X)<~>~funny(X))))&
(![X]:((~h... | ~old(john) | [
"p1",
"p3",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6262235226975321510334878
% SZS output start Proof for 6262235226975321510334878
2. ? [X0] : (brave(X0) | old(X0)) <=> ~patient(fred) [input p1]
4. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~tall(X0)) [input p3]
7. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (~curious(X0) | quiet(X0))) [input ... | 0 |
If john is not calm or not creative then someone is curious and vice versa.
Everyone who is both not generous and kind is both not quiet and not creative.
Everyone who is tall is not strong or not tall and vice versa.
If someone is humble then someone is both not creative and not humble and vice versa.
If lucy is both ... | Mary is not creative. | contradiction | (((~calm(john)|~creative(john)))<=>(?[X]:(curious(X))))&
(![X]:((~generous(X)&kind(X))=>(~quiet(X)&~creative(X))))&
(![X]:(tall(X)<=>(~strong(X)|~tall(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~creative(X)&~humble(X)))))&
(((calm(lucy)&~funny(lucy)))=>(?[X]:((~kind(X)&~happy(X)))))&
(![X]:((curious(X)|old(X))<=>patient(X)))... | ~creative(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3942673321847088492588457
% SZS output start Proof for 3942673321847088492588457
16. ! [X0] : (~creative(X0) => (quiet(X0) & creative(X0))) [input p15]
24. ~creative(mary) [input hypothesis]
38. ! [X0] : ((quiet(X0) & creative(X0)) | creative(X0)) [ennf transformation 16]
120. creative(X0... | 0 |
If someone is either not creative or not generous then mary is old.
Everyone who is rich or not brave is both not strong and rich.
Everyone who is not strong or old is both strong and not patient and vice versa.
Everyone who is either not wise or not humble is either not quiet or old and vice versa.
Everyone who is bot... | Lucy is not funny. | entailment | ((?[X]:((~creative(X)<~>~generous(X))))=>(old(mary)))&
(![X]:((rich(X)|~brave(X))=>(~strong(X)&rich(X))))&
(![X]:((~strong(X)|old(X))<=>(strong(X)&~patient(X))))&
(![X]:((~wise(X)<~>~humble(X))<=>(~quiet(X)<~>old(X))))&
(![X]:((curious(X)&humble(X))<=>(~calm(X)<~>~happy(X))))&
((?[X]:((~patient(X)&humble(X))))<=>(?[X]:... | ~funny(lucy) | [
"p1",
"p2",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3262750072593246426541465
% SZS output start Proof for 3262750072593246426541465
2. ! [X0] : ((~brave(X0) | rich(X0)) => (rich(X0) & ~strong(X0))) [input p1]
3. ! [X0] : ((old(X0) | ~strong(X0)) <=> (~patient(X0) & strong(X0))) [input p2]
7. ! [X0] : ((rich(X0) <~> humble(X0)) => (~humble... | 0 |
Everyone who is not funny or rich is either rich or brave.
Everyone who is both not generous and wise is both tall and not curious.
Everyone who is not brave or patient is humble.
Everyone who is happy or rich is either calm or creative.
If someone is humble or not funny then someone is not tall or wise and vice versa.... | Lucy is not kind. | neutral | (![X]:((~funny(X)|rich(X))=>(rich(X)<~>brave(X))))&
(![X]:((~generous(X)&wise(X))=>(tall(X)&~curious(X))))&
(![X]:((~brave(X)|patient(X))=>humble(X)))&
(![X]:((happy(X)|rich(X))=>(calm(X)<~>creative(X))))&
((?[X]:((humble(X)|~funny(X))))<=>(?[X]:((~tall(X)|wise(X)))))&
(((~kind(john)&~tall(john)))=>(?[X]:(~patient(X)))... | ~kind(lucy) | [] | null | 0 |
If alice is both not funny and not curious then someone is either not curious or wise and vice versa. Everyone who is not funny or patient is both not humble and not calm. If someone is either not humble or creative then someone is either not calm or not rich and vice versa. If someone is not kind then lucy is either n... | Lucy is not old. | entailment | (((~funny(alice)&~curious(alice)))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:((~funny(X)|patient(X))=>(~humble(X)&~calm(X))))&
((?[X]:((~humble(X)<~>creative(X))))<=>(?[X]:((~calm(X)<~>~rich(X)))))&
((?[X]:(~kind(X)))=>((~generous(lucy)<~>happy(lucy))))&
(((~generous(john)|brave(john)))=>((~patient(john)<~>~wise(john)... | ~old(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4042977665780193100677871
% SZS output start Proof for 4042977665780193100677871
8. ! [X0] : ((old(X0) | ~kind(X0)) => (kind(X0) & ~old(X0))) [input p7]
21. old(lucy) [input hypothesis]
30. ! [X0] : ((kind(X0) & ~old(X0)) | (~old(X0) & kind(X0))) [ennf transformation 8]
107. ~old(X0) | ~o... | 0 |
Everyone who is both not old and quiet is rich or generous and vice versa.
If fred is both not creative and not happy then mary is brave and vice versa.
Everyone who is not kind or not creative is both happy and old and vice versa.
If someone is not strong or quiet then alice is both happy and wise.
Everyone who is not... | Susan is generous. | contradiction | (![X]:((~old(X)&quiet(X))<=>(rich(X)|generous(X))))&
(((~creative(fred)&~happy(fred)))<=>(brave(mary)))&
(![X]:((~kind(X)|~creative(X))<=>(happy(X)&old(X))))&
((?[X]:((~strong(X)|quiet(X))))=>((happy(alice)&wise(alice))))&
(![X]:(~old(X)<=>(~old(X)|quiet(X))))&
(((rich(fred)&~strong(fred)))<=>(?[X]:(~patient(X))))&
(![... | generous(susan) | [
"p0",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 119577993803008993067694
% SZS output start Proof for 119577993803008993067694
1. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (generous(X0) | rich(X0))) [input p0]
13. ! [X0] : ((~generous(X0) & ~rich(X0)) <=> humble(X0)) [input p12]
16. ! [X0] : ((~humble(X0) | curious(X0)) => (humble(X0) | ~qu... | 0 |
If someone is either kind or brave then lucy is patient and vice versa. Everyone who is strong is both kind and humble. If someone is not quiet or funny then someone is not strong or not generous and vice versa. If someone is either brave or quiet then susan is either humble or calm. If lucy is either not wise or curio... | Lucy is strong. | entailment | ((?[X]:((kind(X)<~>brave(X))))<=>(patient(lucy)))&
(![X]:(strong(X)=>(kind(X)&humble(X))))&
((?[X]:((~quiet(X)|funny(X))))<=>(?[X]:((~strong(X)|~generous(X)))))&
((?[X]:((brave(X)<~>quiet(X))))=>((humble(susan)<~>calm(susan))))&
(((~wise(lucy)<~>curious(lucy)))=>((old(fred)&~strong(fred))))&
(![X]:((~funny(X)<~>funny(X... | strong(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4175228607574230472102264
% SZS output start Proof for 4175228607574230472102264
6. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> strong(X0)) [input p5]
24. ~strong(lucy) [input hypothesis]
49. ! [X0] : ((((~funny(X0) | funny(X0)) & (funny(X0) | ~funny(X0))) | ~strong(X0)) & (strong(X0) | ((~f... | 0 |
If susan is brave then someone is not brave and vice versa.
If fred is both not calm and patient then lucy is tall or not calm.
Everyone who is not brave is not funny or not brave and vice versa.
Everyone who is either not humble or not tall is both creative and not brave and vice versa.
If paul is both quiet and not c... | Mary is patient. | neutral | ((brave(susan))<=>(?[X]:(~brave(X))))&
(((~calm(fred)&patient(fred)))=>((tall(lucy)|~calm(lucy))))&
(![X]:(~brave(X)<=>(~funny(X)|~brave(X))))&
(![X]:((~humble(X)<~>~tall(X))<=>(creative(X)&~brave(X))))&
(((quiet(paul)&~calm(paul)))<=>(?[X]:(happy(X))))&
(![X]:((~wise(X)&humble(X))=>(tall(X)&~wise(X))))&
((?[X]:((~stro... | patient(mary) | [] | null | 0 |
If someone is not generous then lucy is humble and vice versa. Everyone who is not humble or creative is creative or wise and vice versa. Everyone who is either old or strong is both not quiet and not curious and vice versa. If alice is creative or tall then fred is both not creative and happy and vice versa. If mary i... | Mary is not calm. | neutral | ((?[X]:(~generous(X)))<=>(humble(lucy)))&
(![X]:((~humble(X)|creative(X))<=>(creative(X)|wise(X))))&
(![X]:((old(X)<~>strong(X))<=>(~quiet(X)&~curious(X))))&
(((creative(alice)|tall(alice)))<=>((~creative(fred)&happy(fred))))&
(((creative(mary)<~>old(mary)))=>(?[X]:(patient(X))))&
(![X]:((~patient(X)|~funny(X))=>(gener... | ~calm(mary) | [] | null | 0 |
If fred is patient or calm then alice is either humble or not wise and vice versa.
Everyone who is not humble is not rich and vice versa.
If alice is either not wise or not creative then someone is not creative or not funny.
If alice is either patient or not strong then paul is not quiet and vice versa.
Everyone who is... | Lucy is happy. | entailment | (((patient(fred)|calm(fred)))<=>((humble(alice)<~>~wise(alice))))&
(![X]:(~humble(X)<=>~rich(X)))&
(((~wise(alice)<~>~creative(alice)))=>(?[X]:((~creative(X)|~funny(X)))))&
(((patient(alice)<~>~strong(alice)))<=>(~quiet(paul)))&
(![X]:((~brave(X)<~>~funny(X))<=>(~funny(X)|tall(X))))&
(![X]:((humble(X)<~>calm(X))<=>(hap... | happy(lucy) | [
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 856135491096017470463705
% SZS output start Proof for 856135491096017470463705
6. ! [X0] : ((humble(X0) <~> calm(X0)) <=> (humble(X0) | happy(X0))) [input p5]
9. ! [X0] : ((~kind(X0) <~> kind(X0)) => (tall(X0) & ~wise(X0))) [input p8]
10. ? [X0] : (~calm(X0) | funny(X0)) <=> wise(alice) [... | 0 |
If paul is calm or rich then john is either kind or not patient and vice versa. Everyone who is not creative or not quiet is not brave. If someone is not tall or not kind then someone is not kind or creative. If someone is not funny then fred is not kind or strong. If someone is both not patient and patient then someon... | John is old. | entailment | (((calm(paul)|rich(paul)))<=>((kind(john)<~>~patient(john))))&
(![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(... | old(john) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8781445153472227109308783
% SZS output start Proof for 8781445153472227109308783
13. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~brave(X0) & happy(X0))) [input p12]
15. ! [X0] : ((strong(X0) | happy(X0)) => (old(X0) & ~patient(X0))) [input p14]
20. ~old(john) [input hypothesis]
35. ! [X0... | 0 |
If someone is either quiet or generous then someone is rich and vice versa.
Everyone who is calm or not happy is old and vice versa.
If mary is both not old and calm then someone is brave and vice versa.
Everyone who is either generous or not humble is not rich or not patient and vice versa.
If someone is both calm and... | Mary is generous. | entailment | ((?[X]:((quiet(X)<~>generous(X))))<=>(?[X]:(rich(X))))&
(![X]:((calm(X)|~happy(X))<=>old(X)))&
(((~old(mary)&calm(mary)))<=>(?[X]:(brave(X))))&
(![X]:((generous(X)<~>~humble(X))<=>(~rich(X)|~patient(X))))&
((?[X]:((calm(X)&old(X))))<=>((~kind(paul)<~>generous(paul))))&
(![X]:(happy(X)=>(generous(X)|brave(X))))&
((?[X]:... | generous(mary) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1641777588699975086229604
% SZS output start Proof for 1641777588699975086229604
16. ! [X0] : (~generous(X0) <=> (~old(X0) & ~wise(X0))) [input p15]
21. wise(mary) & old(mary) [input p20]
25. ~generous(mary) [input hypothesis]
70. ! [X0] : ((~generous(X0) | (old(X0) | wise(X0))) & ((~old(... | 0 |
If someone is curious or tall then lucy is not funny or not kind. If someone is rich or not calm then john is both not wise and not rich and vice versa. Everyone who is both generous and strong is either patient or creative. If mary is both quiet and tall then fred is both not generous and rich. If someone is both brav... | John is rich. | contradiction | ((?[X]:((curious(X)|tall(X))))=>((~funny(lucy)|~kind(lucy))))&
((?[X]:((rich(X)|~calm(X))))<=>((~wise(john)&~rich(john))))&
(![X]:((generous(X)&strong(X))=>(patient(X)<~>creative(X))))&
(((quiet(mary)&tall(mary)))=>((~generous(fred)&rich(fred))))&
((?[X]:((brave(X)&humble(X))))<=>(?[X]:((~kind(X)|~creative(X)))))&
((?[... | rich(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4568275034798506110644341
% SZS output start Proof for 4568275034798506110644341
2. ? [X0] : (~calm(X0) | rich(X0)) <=> (~rich(john) & ~wise(john)) [input p1]
25. rich(john) [input hypothesis]
45. (? [X0] : (~calm(X0) | rich(X0)) | (rich(john) | wise(john))) & ((~rich(john) & ~wise(john))... | 0 |
Everyone who is both not generous and strong is wise.
If john is either humble or quiet then alice is both creative and not old and vice versa.
Everyone who is either brave or not patient is old or wise.
Everyone who is patient is not strong or not brave and vice versa.
Everyone who is both wise and happy is not old or... | Lucy is old. | entailment | (![X]:((~generous(X)&strong(X))=>wise(X)))&
(((humble(john)<~>quiet(john)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~wise(X)|~funny(X))))&
((?... | old(lucy) | [
"p5",
"p7",
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1301933452582414641768674
% SZS output start Proof for 1301933452582414641768674
6. ! [X0] : ((~old(X0) <~> ~curious(X0)) <=> (~funny(X0) | ~wise(X0))) [input p5]
8. ! [X0] : ((~funny(X0) <~> ~generous(X0)) => (brave(X0) & funny(X0))) [input p7]
9. (old(lucy) | ~curious(lucy)) <=> ? [X0] ... | 0 |
If someone is either not calm or rich then lucy is not quiet or not creative.
If someone is humble then someone is not quiet or not calm.
Everyone who is either not rich or quiet is not generous.
Everyone who is funny is not humble or wise and vice versa.
If john is happy or calm then someone is either not tall or funn... | John is not rich. | neutral | ((?[X]:((~calm(X)<~>rich(X))))=>((~quiet(lucy)|~creative(lucy))))&
((?[X]:(humble(X)))=>(?[X]:((~quiet(X)|~calm(X)))))&
(![X]:((~rich(X)<~>quiet(X))=>~generous(X)))&
(![X]:(funny(X)<=>(~humble(X)|wise(X))))&
(((happy(john)|calm(john)))=>(?[X]:((~tall(X)<~>funny(X)))))&
(((generous(john)<~>~kind(john)))<=>((rich(mary)|g... | ~rich(john) | [] | null | 0 |
If someone is strong or kind then alice is funny and vice versa. Everyone who is either wise or calm is funny. If paul is not brave then someone is not curious and vice versa. Everyone who is patient or quiet is both old and not humble. Everyone who is happy or creative is either curious or not old and vice versa. Ever... | Paul is curious. | neutral | ((?[X]:((strong(X)|kind(X))))<=>(funny(alice)))&
(![X]:((wise(X)<~>calm(X))=>funny(X)))&
((~brave(paul))<=>(?[X]:(~curious(X))))&
(![X]:((patient(X)|quiet(X))=>(old(X)&~humble(X))))&
(![X]:((happy(X)|creative(X))<=>(curious(X)<~>~old(X))))&
(![X]:((quiet(X)&~funny(X))=>(~kind(X)|rich(X))))&
(![X]:((~calm(X)&~humble(X))... | curious(paul) | [] | null | 0 |
Everyone who is either not kind or quiet is happy and vice versa.
If someone is either patient or curious then someone is either not happy or tall and vice versa.
Everyone who is both wise and patient is either not kind or calm and vice versa.
Everyone who is either wise or not quiet is both not tall and not brave.
Eve... | Paul is not old. | contradiction | (![X]:((~kind(X)<~>quiet(X))<=>happy(X)))&
((?[X]:((patient(X)<~>curious(X))))<=>(?[X]:((~happy(X)<~>tall(X)))))&
(![X]:((wise(X)&patient(X))<=>(~kind(X)<~>calm(X))))&
(![X]:((wise(X)<~>~quiet(X))=>(~tall(X)&~brave(X))))&
(![X]:((~old(X)&patient(X))<=>(brave(X)<~>old(X))))&
(![X]:((tall(X)&rich(X))<=>(~humble(X)|genero... | ~old(paul) | [
"p3",
"p5",
"p7",
"p8",
"p10",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1890578745791099061567375
% SZS output start Proof for 1890578745791099061567375
4. ! [X0] : ((wise(X0) <~> ~quiet(X0)) => (~brave(X0) & ~tall(X0))) [input p3]
6. ! [X0] : ((rich(X0) & tall(X0)) <=> (generous(X0) | ~humble(X0))) [input p5]
8. ! [X0] : ((tall(X0) & ~wise(X0)) => (happy(X0)... | 0 |
If john is not patient then someone is not brave or not humble and vice versa.
If someone is either not calm or rich then someone is not kind.
Everyone who is not generous is not funny or not creative.
Everyone who is either not creative or not patient is either curious or not calm and vice versa.
Everyone who is eithe... | Lucy is not strong. | neutral | ((~patient(john))<=>(?[X]:((~brave(X)|~humble(X)))))&
((?[X]:((~calm(X)<~>rich(X))))=>(?[X]:(~kind(X))))&
(![X]:(~generous(X)=>(~funny(X)|~creative(X))))&
(![X]:((~creative(X)<~>~patient(X))<=>(curious(X)<~>~calm(X))))&
(![X]:((~strong(X)<~>humble(X))=>patient(X)))&
((?[X]:((kind(X)|happy(X))))=>((funny(lucy)&~humble(l... | ~strong(lucy) | [] | null | 0 |
If lucy is not patient then someone is rich and vice versa.
Everyone who is not brave is both not kind and strong.
If fred is not creative then lucy is both old and not generous.
Everyone who is quiet is tall.
Everyone who is brave is both happy and rich.
Everyone who is not patient is both not humble and patient and v... | Lucy is not strong. | contradiction | ((~patient(lucy))<=>(?[X]:(rich(X))))&
(![X]:(~brave(X)=>(~kind(X)&strong(X))))&
((~creative(fred))=>((old(lucy)&~generous(lucy))))&
(![X]:(quiet(X)=>tall(X)))&
(![X]:(brave(X)=>(happy(X)&rich(X))))&
(![X]:(~patient(X)<=>(~humble(X)&patient(X))))&
((?[X]:((quiet(X)&~kind(X))))=>((tall(john)&~rich(john))))&
(![X]:((stro... | ~strong(lucy) | [
"p0",
"p1",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7330408705015612110169513
% SZS output start Proof for 7330408705015612110169513
1. ~patient(lucy) <=> ? [X0] : rich(X0) [input p0]
2. ! [X0] : (~brave(X0) => (strong(X0) & ~kind(X0))) [input p1]
5. ! [X0] : (brave(X0) => (rich(X0) & happy(X0))) [input p4]
6. ! [X0] : (~patient(X0) <=> (p... | 0 |
Everyone who is either not curious or wise is not rich and vice versa. Everyone who is both old and not old is either funny or wise. If someone is not funny or happy then fred is funny and vice versa. If susan is kind or humble then someone is strong or not calm and vice versa. Everyone who is both wise and not curious... | John is not wise. | entailment | (![X]:((~curious(X)<~>wise(X))<=>~rich(X)))&
(![X]:((old(X)&~old(X))=>(funny(X)<~>wise(X))))&
((?[X]:((~funny(X)|happy(X))))<=>(funny(fred)))&
(((kind(susan)|humble(susan)))<=>(?[X]:((strong(X)|~calm(X)))))&
(![X]:((wise(X)&~curious(X))=>~kind(X)))&
((?[X]:((~quiet(X)<~>old(X))))=>((~creative(paul)|~calm(paul))))&
(![X... | ~wise(john) | [
"p0",
"p6",
"p8",
"p10",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4566673447603090487413470
% SZS output start Proof for 4566673447603090487413470
1. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> ~rich(X0)) [input p0]
7. ! [X0] : ((~curious(X0) & ~patient(X0)) <=> (~wise(X0) & ~tall(X0))) [input p6]
9. ! [X0] : (~humble(X0) => (~wise(X0) <~> tall(X0))) [inp... | 0 |
Everyone who is kind is not creative or not curious. If someone is kind then someone is either wise or not quiet and vice versa. If someone is both not calm and old then someone is not creative or not old. Everyone who is both quiet and not calm is either calm or not strong. If lucy is not happy then susan is not wise ... | John is calm. | entailment | (![X]:(kind(X)=>(~creative(X)|~curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
((?[X]:((~calm(X)&old(X))))=>(?[X]:((~creative(X)|~old(X)))))&
(![X]:((quiet(X)&~calm(X))=>(calm(X)<~>~strong(X))))&
((~happy(lucy))=>((~wise(susan)|strong(susan))))&
(![X]:((~funny(X)|creative(X))<=>kind(X)))&
(![X]:((ta... | calm(john) | [
"p3",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5073791698609628874381171
% SZS output start Proof for 5073791698609628874381171
4. ! [X0] : ((~calm(X0) & quiet(X0)) => (calm(X0) <~> ~strong(X0))) [input p3]
14. ! [X0] : ((~calm(X0) | ~happy(X0)) => strong(X0)) [input p13]
18. quiet(john) [input p17]
25. ~calm(john) [input hypothesis]
... | 0 |
Everyone who is either not rich or not brave is rich or not rich. Everyone who is patient is both not calm and not old. If alice is both humble and not kind then someone is generous. Everyone who is both not happy and curious is humble or quiet. If someone is both not old and not happy then susan is not calm and vice v... | Lucy is not calm. | contradiction | (![X]:((~rich(X)<~>~brave(X))=>(rich(X)|~rich(X))))&
(![X]:(patient(X)=>(~calm(X)&~old(X))))&
(((humble(alice)&~kind(alice)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)&curious(X))=>(humble(X)|quiet(X))))&
((?[X]:((~old(X)&~happy(X))))<=>(~calm(susan)))&
((?[X]:((~happy(X)|strong(X))))<=>(?[X]:(wise(X))))&
(![X]:((~rich... | ~calm(lucy) | [
"p1",
"p4",
"p6",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5825218503348099898118606
% SZS output start Proof for 5825218503348099898118606
2. ! [X0] : (patient(X0) => (~old(X0) & ~calm(X0))) [input p1]
5. ? [X0] : (~happy(X0) & ~old(X0)) <=> ~calm(susan) [input p4]
7. ! [X0] : ((~old(X0) | ~rich(X0)) <=> (old(X0) & wise(X0))) [input p6]
13. ! [X... | 0 |
Everyone who is not humble is both not creative and patient and vice versa.
Everyone who is not brave or not old is patient and vice versa.
Everyone who is either curious or not wise is old and vice versa.
Everyone who is brave is both not tall and not old and vice versa.
If paul is either generous or not humble then l... | Lucy is not funny. | neutral | (![X]:(~humble(X)<=>(~creative(X)&patient(X))))&
(![X]:((~brave(X)|~old(X))<=>patient(X)))&
(![X]:((curious(X)<~>~wise(X))<=>old(X)))&
(![X]:(brave(X)<=>(~tall(X)&~old(X))))&
(((generous(paul)<~>~humble(paul)))<=>((~patient(lucy)|wise(lucy))))&
((?[X]:(~rich(X)))<=>((~calm(paul)<~>~strong(paul))))&
(![X]:(happy(X)<=>~o... | ~funny(lucy) | [] | null | 0 |
Everyone who is either kind or not calm is not brave and vice versa.
If someone is tall then someone is wise and vice versa.
Everyone who is not curious or curious is either not funny or brave.
Everyone who is both brave and kind is not strong or happy and vice versa.
If john is not happy or patient then someone is kin... | Lucy is not funny. | contradiction | (![X]:((kind(X)<~>~calm(X))<=>~brave(X)))&
((?[X]:(tall(X)))<=>(?[X]:(wise(X))))&
(![X]:((~curious(X)|curious(X))=>(~funny(X)<~>brave(X))))&
(![X]:((brave(X)&kind(X))<=>(~strong(X)|happy(X))))&
(((~happy(john)|patient(john)))=>(?[X]:(kind(X))))&
(![X]:(strong(X)<=>(~tall(X)&funny(X))))&
(((~wise(paul)<~>old(paul)))=>(?... | ~funny(lucy) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3042076466312327346645252
% SZS output start Proof for 3042076466312327346645252
3. ! [X0] : ((curious(X0) | ~curious(X0)) => (~funny(X0) <~> brave(X0))) [input p2]
4. ! [X0] : ((kind(X0) & brave(X0)) <=> (happy(X0) | ~strong(X0))) [input p3]
6. ! [X0] : (strong(X0) <=> (funny(X0) & ~tall... | 0 |
If alice is not happy or funny then mary is not brave.
Everyone who is not strong or not rich is both wise and not funny and vice versa.
If someone is old or not patient then paul is kind.
Everyone who is both brave and quiet is not funny and vice versa.
If someone is either not creative or humble then alice is both no... | Alice is humble. | contradiction | (((~happy(alice)|funny(alice)))=>(~brave(mary)))&
(![X]:((~strong(X)|~rich(X))<=>(wise(X)&~funny(X))))&
((?[X]:((old(X)|~patient(X))))=>(kind(paul)))&
(![X]:((brave(X)&quiet(X))<=>~funny(X)))&
((?[X]:((~creative(X)<~>humble(X))))<=>((~kind(alice)&~strong(alice))))&
(((generous(susan)|~humble(susan)))=>((curious(fred)<~... | humble(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 890332612329800330719437
% SZS output start Proof for 890332612329800330719437
12. ! [X0] : ((~humble(X0) | humble(X0)) => (~humble(X0) & generous(X0))) [input p11]
23. humble(alice) [input hypothesis]
30. ! [X0] : ((~humble(X0) & generous(X0)) | (humble(X0) & ~humble(X0))) [ennf transfor... | 0 |
If someone is either tall or brave then someone is wise or generous and vice versa. If someone is both curious and not old then someone is both not quiet and humble and vice versa. If mary is strong or generous then susan is not calm. Everyone who is both not calm and creative is both tall and old. If someone is both n... | Alice is not old. | contradiction | ((?[X]:((tall(X)<~>brave(X))))<=>(?[X]:((wise(X)|generous(X)))))&
((?[X]:((curious(X)&~old(X))))<=>(?[X]:((~quiet(X)&humble(X)))))&
(((strong(mary)|generous(mary)))=>(~calm(susan)))&
(![X]:((~calm(X)&creative(X))=>(tall(X)&old(X))))&
((?[X]:((~calm(X)&~creative(X))))=>(~patient(mary)))&
(![X]:((patient(X)<~>~patient(X)... | ~old(alice) | [
"p5",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6528366929326255124449286
% SZS output start Proof for 6528366929326255124449286
6. ! [X0] : ((patient(X0) <~> ~patient(X0)) => (~rich(X0) & wise(X0))) [input p5]
11. ? [X0] : (creative(X0) & ~happy(X0)) <=> ? [X0] : (~calm(X0) <~> ~old(X0)) [input p10]
13. ! [X0] : (calm(X0) => (~generou... | 0 |
If someone is both not creative and not strong then lucy is either quiet or not quiet.
Everyone who is both not curious and not wise is not tall and vice versa.
If someone is either humble or kind then someone is both funny and not curious and vice versa.
Everyone who is either funny or rich is curious or not happy.
Ev... | Mary is wise. | contradiction | ((?[X]:((~creative(X)&~strong(X))))=>((quiet(lucy)<~>~quiet(lucy))))&
(![X]:((~curious(X)&~wise(X))<=>~tall(X)))&
((?[X]:((humble(X)<~>kind(X))))<=>(?[X]:((funny(X)&~curious(X)))))&
(![X]:((funny(X)<~>rich(X))=>(curious(X)|~happy(X))))&
(![X]:((strong(X)&~tall(X))<=>(~happy(X)|quiet(X))))&
(![X]:(~brave(X)<=>(funny(X)&... | wise(mary) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2758740968302439775168816
% SZS output start Proof for 2758740968302439775168816
2. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> ~tall(X0)) [input p1]
5. ! [X0] : ((~tall(X0) & strong(X0)) <=> (quiet(X0) | ~happy(X0))) [input p4]
6. ! [X0] : (~brave(X0) <=> (strong(X0) & funny(X0))) [input p5... | 0 |
Everyone who is not old or not patient is not happy or brave and vice versa.
Everyone who is not creative or strong is humble or happy.
Everyone who is both calm and wise is not generous.
Everyone who is not wise is not patient and vice versa.
Everyone who is rich is wise or not tall.
Everyone who is either not curious... | Paul is not curious. | contradiction | (![X]:((~old(X)|~patient(X))<=>(~happy(X)|brave(X))))&
(![X]:((~creative(X)|strong(X))=>(humble(X)|happy(X))))&
(![X]:((calm(X)&wise(X))=>~generous(X)))&
(![X]:(~wise(X)<=>~patient(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happ... | ~curious(paul) | [
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4159319259629168637762785
% SZS output start Proof for 4159319259629168637762785
4. ! [X0] : (~wise(X0) <=> ~patient(X0)) [input p3]
5. ! [X0] : (rich(X0) => (~tall(X0) | wise(X0))) [input p4]
6. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p5]
8. ! [X0] : (~rich(X0) <=>... | 0 |
Everyone who is not calm is both patient and creative and vice versa.
Everyone who is both not tall and not kind is not happy or not quiet and vice versa.
Everyone who is not brave is either tall or creative.
Everyone who is not generous is either not old or funny and vice versa.
Everyone who is both old and not tall i... | John is not quiet. | contradiction | (![X]:(~calm(X)<=>(patient(X)&creative(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~happy(X)|~quiet(X))))&
(![X]:(~brave(X)=>(tall(X)<~>creative(X))))&
(![X]:(~generous(X)<=>(~old(X)<~>funny(X))))&
(![X]:((old(X)&~tall(X))=>(creative(X)&patient(X))))&
((?[X]:(humble(X)))=>((~creative(susan)<~>~happy(susan))))&
(((~patient(joh... | ~quiet(john) | [
"p0",
"p1",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 498024645647996297860136
% SZS output start Proof for 498024645647996297860136
1. ! [X0] : (~calm(X0) <=> (creative(X0) & patient(X0))) [input p0]
2. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> (~quiet(X0) | ~happy(X0))) [input p1]
5. ! [X0] : ((~tall(X0) & old(X0)) => (patient(X0) & creative(X... | 0 |
If someone is not kind then alice is creative.
Everyone who is not generous or not funny is either not rich or creative.
Everyone who is not quiet or rich is either not strong or not quiet and vice versa.
If alice is not happy or wise then alice is both not brave and humble and vice versa.
If someone is not kind then s... | John is not calm. | contradiction | ((?[X]:(~kind(X)))=>(creative(alice)))&
(![X]:((~generous(X)|~funny(X))=>(~rich(X)<~>creative(X))))&
(![X]:((~quiet(X)|rich(X))<=>(~strong(X)<~>~quiet(X))))&
(((~happy(alice)|wise(alice)))<=>((~brave(alice)&humble(alice))))&
((?[X]:(~kind(X)))=>(?[X]:(quiet(X))))&
((?[X]:((tall(X)|strong(X))))=>(~rich(john)))&
(![X]:((... | ~calm(john) | [
"p5",
"p10",
"p11",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 535001711982250025427244
% SZS output start Proof for 535001711982250025427244
6. ? [X0] : (strong(X0) | tall(X0)) => ~rich(john) [input p5]
11. ? [X0] : (happy(X0) | funny(X0)) => (~rich(john) <~> ~calm(john)) [input p10]
12. ! [X0] : ((quiet(X0) | ~rich(X0)) <=> happy(X0)) [input p11]
1... | 0 |
If someone is both not creative and not happy then john is not generous.
If john is patient then mary is not generous or happy.
Everyone who is both old and not strong is not quiet and vice versa.
If john is old then susan is both not funny and generous.
Everyone who is humble or not generous is both not happy and not ... | Paul is creative. | entailment | ((?[X]:((~creative(X)&~happy(X))))=>(~generous(john)))&
((patient(john))=>((~generous(mary)|happy(mary))))&
(![X]:((old(X)&~strong(X))<=>~quiet(X)))&
((old(john))=>((~funny(susan)&generous(susan))))&
(![X]:((humble(X)|~generous(X))<=>(~happy(X)&~funny(X))))&
(![X]:((~wise(X)|strong(X))=>(calm(X)<~>~brave(X))))&
(((kind... | creative(paul) | [
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5712434430043634831404507
% SZS output start Proof for 5712434430043634831404507
5. ! [X0] : ((~generous(X0) | humble(X0)) <=> (~funny(X0) & ~happy(X0))) [input p4]
13. ! [X0] : ((~creative(X0) & ~humble(X0)) => (funny(X0) & ~generous(X0))) [input p12]
14. ! [X0] : (~brave(X0) <=> (humble... | 0 |
Everyone who is not brave or happy is both quiet and not brave.
Everyone who is either not curious or strong is either not patient or happy.
If someone is both generous and not tall then alice is patient or not humble.
Everyone who is either happy or not old is both generous and creative and vice versa.
If john is both... | Paul is rich. | neutral | (![X]:((~brave(X)|happy(X))=>(quiet(X)&~brave(X))))&
(![X]:((~curious(X)<~>strong(X))=>(~patient(X)<~>happy(X))))&
((?[X]:((generous(X)&~tall(X))))=>((patient(alice)|~humble(alice))))&
(![X]:((happy(X)<~>~old(X))<=>(generous(X)&creative(X))))&
(((old(john)&tall(john)))<=>(?[X]:((~calm(X)|~quiet(X)))))&
((~humble(alice)... | rich(paul) | [] | null | 0 |
Everyone who is either funny or old is not strong.
Everyone who is patient is not funny or not old.
Everyone who is not happy or not curious is both curious and not quiet.
Everyone who is not happy is both not strong and happy and vice versa.
If mary is either not generous or curious then susan is both wise and not bra... | Lucy is not tall. | neutral | (![X]:((funny(X)<~>old(X))=>~strong(X)))&
(![X]:(patient(X)=>(~funny(X)|~old(X))))&
(![X]:((~happy(X)|~curious(X))=>(curious(X)&~quiet(X))))&
(![X]:(~happy(X)<=>(~strong(X)&happy(X))))&
(((~generous(mary)<~>curious(mary)))<=>((wise(susan)&~brave(susan))))&
((?[X]:((quiet(X)<~>~wise(X))))<=>(~tall(paul)))&
(![X]:((~crea... | ~tall(lucy) | [] | null | 0 |
If john is wise then someone is not wise. If someone is either quiet or not brave then someone is not curious or patient and vice versa. Everyone who is either quiet or humble is curious or happy and vice versa. Everyone who is both brave and not strong is both calm and patient and vice versa. If lucy is either not hap... | John is not curious. | neutral | ((wise(john))=>(?[X]:(~wise(X))))&
((?[X]:((quiet(X)<~>~brave(X))))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((quiet(X)<~>humble(X))<=>(curious(X)|happy(X))))&
(![X]:((brave(X)&~strong(X))<=>(calm(X)&patient(X))))&
(((~happy(lucy)<~>rich(lucy)))<=>((~wise(john)<~>~patient(john))))&
(![X]:(~old(X)=>old(X)))&
(![X]:((... | ~curious(john) | [] | null | 0 |
Everyone who is both not tall and not kind is not creative or not curious and vice versa.
Everyone who is both strong and old is not happy.
If someone is happy then mary is funny or not humble and vice versa.
If susan is either not calm or creative then someone is both not rich and rich and vice versa.
Everyone who is ... | Susan is not calm. | entailment | (![X]:((~tall(X)&~kind(X))<=>(~creative(X)|~curious(X))))&
(![X]:((strong(X)&old(X))=>~happy(X)))&
((?[X]:(happy(X)))<=>((funny(mary)|~humble(mary))))&
(((~calm(susan)<~>creative(susan)))<=>(?[X]:((~rich(X)&rich(X)))))&
(![X]:((~creative(X)<~>~brave(X))=>~quiet(X)))&
((?[X]:(~generous(X)))<=>((~brave(fred)<~>~humble(fr... | ~calm(susan) | [
"p0",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 774329818319678930657177
% SZS output start Proof for 774329818319678930657177
1. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> (~curious(X0) | ~creative(X0))) [input p0]
8. ! [X0] : ((tall(X0) & ~humble(X0)) <=> (quiet(X0) | curious(X0))) [input p7]
15. ? [X0] : (calm(X0) | quiet(X0)) <=> (quiet... | 0 |
If alice is rich or not creative then someone is not kind and vice versa. If paul is not kind then fred is both tall and not calm. If susan is not kind or not quiet then lucy is old. If someone is both not patient and funny then lucy is not rich or not brave. Everyone who is calm or not brave is not kind or not rich an... | Alice is not kind. | contradiction | (((rich(alice)|~creative(alice)))<=>(?[X]:(~kind(X))))&
((~kind(paul))=>((tall(fred)&~calm(fred))))&
(((~kind(susan)|~quiet(susan)))=>(old(lucy)))&
((?[X]:((~patient(X)&funny(X))))=>((~rich(lucy)|~brave(lucy))))&
(![X]:((calm(X)|~brave(X))<=>(~kind(X)|~rich(X))))&
(![X]:(old(X)=>(~creative(X)<~>kind(X))))&
(![X]:((~pat... | ~kind(alice) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6399487384160123823764061
% SZS output start Proof for 6399487384160123823764061
11. ! [X0] : ((~tall(X0) | ~quiet(X0)) => (~funny(X0) & kind(X0))) [input p10]
12. ? [X0] : (tall(X0) | curious(X0)) <=> ? [X0] : (~kind(X0) & kind(X0)) [input p11]
23. ~kind(alice) [input hypothesis]
25. ? [... | 0 |
If someone is not funny then fred is kind and vice versa.
If someone is not patient then someone is not quiet or not rich.
Everyone who is both kind and tall is either not creative or patient.
If paul is not strong or tall then lucy is old or not quiet.
If someone is both wise and kind then lucy is both wise and genero... | Mary is not strong. | neutral | ((?[X]:(~funny(X)))<=>(kind(fred)))&
((?[X]:(~patient(X)))=>(?[X]:((~quiet(X)|~rich(X)))))&
(![X]:((kind(X)&tall(X))=>(~creative(X)<~>patient(X))))&
(((~strong(paul)|tall(paul)))=>((old(lucy)|~quiet(lucy))))&
((?[X]:((wise(X)&kind(X))))=>((wise(lucy)&generous(lucy))))&
(![X]:((brave(X)|quiet(X))=>(calm(X)&~old(X))))&
(... | ~strong(mary) | [] | null | 0 |
If someone is both not generous and curious then someone is not creative or not curious.
Everyone who is either funny or not old is not kind or kind and vice versa.
If mary is either creative or not wise then alice is not wise and vice versa.
Everyone who is patient is either not funny or old.
Everyone who is humble is... | Susan is not tall. | neutral | ((?[X]:((~generous(X)&curious(X))))=>(?[X]:((~creative(X)|~curious(X)))))&
(![X]:((funny(X)<~>~old(X))<=>(~kind(X)|kind(X))))&
(((creative(mary)<~>~wise(mary)))<=>(~wise(alice)))&
(![X]:(patient(X)=>(~funny(X)<~>old(X))))&
(![X]:(humble(X)=>(~humble(X)|creative(X))))&
(((~humble(susan)|patient(susan)))=>((~wise(susan)|... | ~tall(susan) | [] | null | 0 |
Everyone who is both old and happy is both not happy and humble and vice versa.
If john is not wise or patient then john is not brave.
If alice is not wise then someone is patient or not generous.
If mary is both not funny and not brave then someone is not strong or not patient and vice versa.
Everyone who is rich is n... | Mary is calm. | neutral | (![X]:((old(X)&happy(X))<=>(~happy(X)&humble(X))))&
(((~wise(john)|patient(john)))=>(~brave(john)))&
((~wise(alice))=>(?[X]:((patient(X)|~generous(X)))))&
(((~funny(mary)&~brave(mary)))<=>(?[X]:((~strong(X)|~patient(X)))))&
(![X]:(rich(X)=>(~old(X)|~wise(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~calm(X)&old(X))))&
(![X]:(~... | calm(mary) | [] | null | 0 |
If paul is both not patient and happy then john is either brave or humble and vice versa. If someone is either not tall or not strong then someone is either happy or patient. Everyone who is both happy and not tall is not humble. If someone is happy then someone is both not patient and not wise and vice versa. Everyone... | Alice is strong. | neutral | (((~patient(paul)&happy(paul)))<=>((brave(john)<~>humble(john))))&
((?[X]:((~tall(X)<~>~strong(X))))=>(?[X]:((happy(X)<~>patient(X)))))&
(![X]:((happy(X)&~tall(X))=>~humble(X)))&
((?[X]:(happy(X)))<=>(?[X]:((~patient(X)&~wise(X)))))&
(![X]:(~generous(X)=>(~tall(X)&strong(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>~tall(X))... | strong(alice) | [] | null | 0 |
Everyone who is both happy and kind is either not calm or funny and vice versa.
Everyone who is not old is not generous or quiet and vice versa.
If someone is happy or creative then john is both rich and creative and vice versa.
Everyone who is both not patient and not strong is both not creative and strong.
If paul is... | Mary is tall. | entailment | (![X]:((happy(X)&kind(X))<=>(~calm(X)<~>funny(X))))&
(![X]:(~old(X)<=>(~generous(X)|quiet(X))))&
((?[X]:((happy(X)|creative(X))))<=>((rich(john)&creative(john))))&
(![X]:((~patient(X)&~strong(X))=>(~creative(X)&strong(X))))&
(((~funny(paul)<~>~creative(paul)))=>((humble(lucy)<~>kind(lucy))))&
(((wise(alice)<~>~funny(al... | tall(mary) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 626919687538729484840453
% SZS output start Proof for 626919687538729484840453
12. ! [X0] : ((~old(X0) <~> wise(X0)) => (tall(X0) & humble(X0))) [input p11]
13. ! [X0] : ((brave(X0) | ~brave(X0)) => (wise(X0) & old(X0))) [input p12]
23. ~tall(mary) [input hypothesis]
31. ! [X0] : ((tall(X... | 0 |
If fred is creative or not funny then lucy is patient and vice versa.
Everyone who is not strong or old is both tall and patient and vice versa.
Everyone who is funny or curious is not rich.
Everyone who is not happy or not patient is either rich or funny and vice versa.
If someone is kind then someone is wise or rich ... | Paul is not wise. | contradiction | (((creative(fred)|~funny(fred)))<=>(patient(lucy)))&
(![X]:((~strong(X)|old(X))<=>(tall(X)&patient(X))))&
(![X]:((funny(X)|curious(X))=>~rich(X)))&
(![X]:((~happy(X)|~patient(X))<=>(rich(X)<~>funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)|rich(X)))))&
((?[X]:((~curious(X)<~>rich(X))))=>(?[X]:((kind(X)&creative(X)))))... | ~wise(paul) | [
"p6",
"p7",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5573438623580643727336251
% SZS output start Proof for 5573438623580643727336251
7. ! [X0] : (~wise(X0) => (patient(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((brave(X0) <~> ~humble(X0)) <=> (strong(X0) & ~humble(X0))) [input p7]
15. ! [X0] : (quiet(X0) => (brave(X0) & calm(X0))) [input p1... | 0 |
Everyone who is not generous or kind is wise or not patient.
If susan is not strong then john is either humble or not patient and vice versa.
Everyone who is both not creative and calm is patient or curious and vice versa.
If alice is rich or not creative then someone is not patient and vice versa.
If someone is not pa... | John is quiet. | entailment | (![X]:((~generous(X)|kind(X))=>(wise(X)|~patient(X))))&
((~strong(susan))<=>((humble(john)<~>~patient(john))))&
(![X]:((~creative(X)&calm(X))<=>(patient(X)|curious(X))))&
(((rich(alice)|~creative(alice)))<=>(?[X]:(~patient(X))))&
((?[X]:((~patient(X)|brave(X))))<=>((happy(john)&~patient(john))))&
((?[X]:((~calm(X)&~cre... | quiet(john) | [
"p2",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8610081523828057626942088
% SZS output start Proof for 8610081523828057626942088
3. ! [X0] : ((calm(X0) & ~creative(X0)) <=> (curious(X0) | patient(X0))) [input p2]
9. ! [X0] : ((patient(X0) & ~strong(X0)) <=> (creative(X0) | ~curious(X0))) [input p8]
11. ! [X0] : ((quiet(X0) & tall(X0)) ... | 0 |
Everyone who is either happy or not patient is both calm and generous and vice versa. Everyone who is both not curious and not brave is both not patient and strong. Everyone who is both not kind and not happy is both not strong and not patient and vice versa. Everyone who is both brave and happy is not creative and vic... | Alice is happy. | entailment | (![X]:((happy(X)<~>~patient(X))<=>(calm(X)&generous(X))))&
(![X]:((~curious(X)&~brave(X))=>(~patient(X)&strong(X))))&
(![X]:((~kind(X)&~happy(X))<=>(~strong(X)&~patient(X))))&
(![X]:((brave(X)&happy(X))<=>~creative(X)))&
(((~strong(john)&kind(john)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~happy(X)&creative(X))<=>(~c... | happy(alice) | [
"p3",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 540373258233641429691790
% SZS output start Proof for 540373258233641429691790
4. ! [X0] : ((happy(X0) & brave(X0)) <=> ~creative(X0)) [input p3]
6. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (~generous(X0) & ~calm(X0))) [input p5]
8. ! [X0] : ((wise(X0) & funny(X0)) <=> ~calm(X0)) [input ... | 0 |
Everyone who is both old and happy is both not happy and humble and vice versa.
If john is not wise or patient then john is not brave.
If alice is not wise then someone is patient or not generous.
If mary is both not funny and not brave then someone is not strong or not patient and vice versa.
Everyone who is rich is n... | Fred is wise. | neutral | (![X]:((old(X)&happy(X))<=>(~happy(X)&humble(X))))&
(((~wise(john)|patient(john)))=>(~brave(john)))&
((~wise(alice))=>(?[X]:((patient(X)|~generous(X)))))&
(((~funny(mary)&~brave(mary)))<=>(?[X]:((~strong(X)|~patient(X)))))&
(![X]:(rich(X)=>(~old(X)|~wise(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~calm(X)&old(X))))&
(![X]:(~... | wise(fred) | [] | null | 0 |
Everyone who is either brave or not humble is not calm or humble and vice versa.
If alice is either old or curious then lucy is both not creative and rich and vice versa.
Everyone who is wise or not funny is both not tall and not quiet.
Everyone who is funny or tall is both brave and not funny and vice versa.
Everyone ... | Alice is tall. | contradiction | (![X]:((brave(X)<~>~humble(X))<=>(~calm(X)|humble(X))))&
(((old(alice)<~>curious(alice)))<=>((~creative(lucy)&rich(lucy))))&
(![X]:((wise(X)|~funny(X))=>(~tall(X)&~quiet(X))))&
(![X]:((funny(X)|tall(X))<=>(brave(X)&~funny(X))))&
(![X]:((strong(X)&~wise(X))<=>(~patient(X)&~tall(X))))&
(![X]:((creative(X)&brave(X))=>~hum... | tall(alice) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3102701806927963132820554
% SZS output start Proof for 3102701806927963132820554
3. ! [X0] : ((~funny(X0) | wise(X0)) => (~quiet(X0) & ~tall(X0))) [input p2]
4. ! [X0] : ((tall(X0) | funny(X0)) <=> (~funny(X0) & brave(X0))) [input p3]
24. tall(alice) [input hypothesis]
27. ! [X0] : ((~qui... | 0 |
If alice is both tall and not quiet then someone is tall.
Everyone who is both not patient and not quiet is not calm or not funny and vice versa.
Everyone who is either not wise or patient is both tall and brave.
If someone is quiet or not patient then alice is either not kind or creative and vice versa.
If someone is ... | Lucy is not old. | contradiction | (((tall(alice)&~quiet(alice)))=>(?[X]:(tall(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(~calm(X)|~funny(X))))&
(![X]:((~wise(X)<~>patient(X))=>(tall(X)&brave(X))))&
((?[X]:((quiet(X)|~patient(X))))<=>((~kind(alice)<~>creative(alice))))&
((?[X]:(~tall(X)))<=>(?[X]:(~old(X))))&
(![X]:((rich(X)|~funny(X))=>funny(X)))&
(![X]:... | ~old(lucy) | [
"p5",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6513400769519362158425481
% SZS output start Proof for 6513400769519362158425481
6. ! [X0] : ((~funny(X0) | rich(X0)) => funny(X0)) [input p5]
13. ! [X0] : (funny(X0) => (~brave(X0) <~> ~old(X0))) [input p12]
17. ~brave(lucy) [input p16]
23. ~old(lucy) [input hypothesis]
28. ! [X0] : (~fu... | 0 |
Everyone who is quiet is both tall and not happy.
Everyone who is either quiet or not strong is both happy and not old.
Everyone who is both not strong and not humble is not brave or not patient and vice versa.
If john is not curious then someone is quiet.
If fred is either tall or curious then lucy is either not curio... | Mary is not patient. | contradiction | (![X]:(quiet(X)=>(tall(X)&~happy(X))))&
(![X]:((quiet(X)<~>~strong(X))=>(happy(X)&~old(X))))&
(![X]:((~strong(X)&~humble(X))<=>(~brave(X)|~patient(X))))&
((~curious(john))=>(?[X]:(quiet(X))))&
(((tall(fred)<~>curious(fred)))<=>((~curious(lucy)<~>patient(lucy))))&
((?[X]:((~generous(X)&~calm(X))))<=>(?[X]:((~curious(X)|... | ~patient(mary) | [
"p0",
"p1",
"p2",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6010991534822430693288720
% SZS output start Proof for 6010991534822430693288720
1. ! [X0] : (quiet(X0) => (~happy(X0) & tall(X0))) [input p0]
2. ! [X0] : ((quiet(X0) <~> ~strong(X0)) => (~old(X0) & happy(X0))) [input p1]
3. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (~patient(X0) | ~brave... | 0 |
If john is creative then mary is not wise or kind.
If someone is patient then john is either not happy or not curious.
If someone is not rich or not old then fred is patient.
Everyone who is patient is both generous and strong.
Everyone who is not humble is either humble or not rich.
Everyone who is patient is either n... | Fred is brave. | entailment | ((creative(john))=>((~wise(mary)|kind(mary))))&
((?[X]:(patient(X)))=>((~happy(john)<~>~curious(john))))&
((?[X]:((~rich(X)|~old(X))))=>(patient(fred)))&
(![X]:(patient(X)=>(generous(X)&strong(X))))&
(![X]:(~humble(X)=>(humble(X)<~>~rich(X))))&
(![X]:(patient(X)<=>(~quiet(X)<~>~brave(X))))&
(((wise(john)|~rich(john)))=... | brave(fred) | [
"p2",
"p5",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1908740886969535592871532
% SZS output start Proof for 1908740886969535592871532
3. ? [X0] : (~old(X0) | ~rich(X0)) => patient(fred) [input p2]
6. ! [X0] : (patient(X0) <=> (~quiet(X0) <~> ~brave(X0))) [input p5]
10. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> (quiet(X0) | strong(X0))) [input p... | 0 |
Everyone who is both not patient and quiet is both brave and not patient and vice versa.
Everyone who is humble is both wise and not kind.
Everyone who is happy is funny and vice versa.
If john is both not wise and kind then someone is both old and not wise and vice versa.
If susan is both patient and not happy then so... | Fred is not old. | neutral | (![X]:((~patient(X)&quiet(X))<=>(brave(X)&~patient(X))))&
(![X]:(humble(X)=>(wise(X)&~kind(X))))&
(![X]:(happy(X)<=>funny(X)))&
(((~wise(john)&kind(john)))<=>(?[X]:((old(X)&~wise(X)))))&
(((patient(susan)&~happy(susan)))=>(?[X]:((~tall(X)&curious(X)))))&
(![X]:((~strong(X)&old(X))=>(~quiet(X)|~wise(X))))&
(![X]:((~funn... | ~old(fred) | [] | null | 0 |
Everyone who is not tall or patient is not brave or humble and vice versa.
If lucy is either not kind or not rich then susan is tall and vice versa.
If someone is not patient or quiet then someone is not happy or not brave and vice versa.
Everyone who is not happy is both not brave and not rich and vice versa.
Everyone... | John is not old. | neutral | (![X]:((~tall(X)|patient(X))<=>(~brave(X)|humble(X))))&
(((~kind(lucy)<~>~rich(lucy)))<=>(tall(susan)))&
((?[X]:((~patient(X)|quiet(X))))<=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:(~happy(X)<=>(~brave(X)&~rich(X))))&
(![X]:((~old(X)|~kind(X))=>~strong(X)))&
(((~patient(lucy)|~humble(lucy)))=>((humble(paul)&happy(paul)))... | ~old(john) | [] | null | 0 |
If someone is not patient or brave then someone is both happy and not happy. Everyone who is either curious or not tall is not brave and vice versa. Everyone who is tall is either not kind or kind. Everyone who is happy or not funny is not tall or not humble and vice versa. If someone is rich then someone is not funny.... | Paul is kind. | neutral | ((?[X]:((~patient(X)|brave(X))))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:((curious(X)<~>~tall(X))<=>~brave(X)))&
(![X]:(tall(X)=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious(paul)&~quiet(paul)))<=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:((~... | kind(paul) | [] | null | 0 |
If someone is either not strong or not patient then mary is rich or not strong.
If someone is both not funny and rich then someone is quiet.
Everyone who is strong or old is quiet and vice versa.
Everyone who is either generous or not patient is both not patient and not generous.
If someone is both not happy and rich t... | Paul is not generous. | neutral | ((?[X]:((~strong(X)<~>~patient(X))))=>((rich(mary)|~strong(mary))))&
((?[X]:((~funny(X)&rich(X))))=>(?[X]:(quiet(X))))&
(![X]:((strong(X)|old(X))<=>quiet(X)))&
(![X]:((generous(X)<~>~patient(X))=>(~patient(X)&~generous(X))))&
((?[X]:((~happy(X)&rich(X))))<=>((~old(paul)<~>~curious(paul))))&
(![X]:((kind(X)&humble(X))=>... | ~generous(paul) | [] | null | 0 |
If alice is either not old or not funny then paul is both wise and not creative.
Everyone who is not calm is either rich or not calm.
If someone is calm or not generous then fred is not brave or happy.
Everyone who is rich or not strong is either kind or generous and vice versa.
If someone is either old or wise then so... | John is not calm. | contradiction | (((~old(alice)<~>~funny(alice)))=>((wise(paul)&~creative(paul))))&
(![X]:(~calm(X)=>(rich(X)<~>~calm(X))))&
((?[X]:((calm(X)|~generous(X))))=>((~brave(fred)|happy(fred))))&
(![X]:((rich(X)|~strong(X))<=>(kind(X)<~>generous(X))))&
((?[X]:((old(X)<~>wise(X))))=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((happy(X)<~>~kind(X))... | ~calm(john) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1356719730143146581614750
% SZS output start Proof for 1356719730143146581614750
2. ! [X0] : (~calm(X0) => (rich(X0) <~> ~calm(X0))) [input p1]
12. ! [X0] : (quiet(X0) <=> (~rich(X0) & ~quiet(X0))) [input p11]
24. ~calm(john) [input hypothesis]
29. ! [X0] : ((rich(X0) <~> ~calm(X0)) | cal... | 0 |
Everyone who is calm is both not kind and not humble.
Everyone who is both not generous and brave is not wise.
If fred is not patient then alice is either creative or curious and vice versa.
If someone is either not patient or not humble then mary is both not quiet and quiet and vice versa.
Everyone who is not calm or ... | Lucy is creative. | neutral | (![X]:(calm(X)=>(~kind(X)&~humble(X))))&
(![X]:((~generous(X)&brave(X))=>~wise(X)))&
((~patient(fred))<=>((creative(alice)<~>curious(alice))))&
((?[X]:((~patient(X)<~>~humble(X))))<=>((~quiet(mary)&quiet(mary))))&
(![X]:((~calm(X)|~rich(X))=>(wise(X)<~>~patient(X))))&
(![X]:((wise(X)|calm(X))<=>(~curious(X)|tall(X))))&... | creative(lucy) | [] | null | 0 |
Everyone who is quiet or not curious is both not wise and strong and vice versa. Everyone who is either not brave or creative is not quiet. If john is not generous then fred is wise or calm and vice versa. Everyone who is quiet is not wise or not humble. If someone is not brave then fred is not old or kind and vice ver... | Lucy is strong. | entailment | (![X]:((quiet(X)|~curious(X))<=>(~wise(X)&strong(X))))&
(![X]:((~brave(X)<~>creative(X))=>~quiet(X)))&
((~generous(john))<=>((wise(fred)|calm(fred))))&
(![X]:(quiet(X)=>(~wise(X)|~humble(X))))&
((?[X]:(~brave(X)))<=>((~old(fred)|kind(fred))))&
((~calm(john))=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:(~creative(X)<=>(~wise(X... | strong(lucy) | [
"p6",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2810300013165309417830045
% SZS output start Proof for 2810300013165309417830045
7. ! [X0] : (~creative(X0) <=> (wise(X0) & ~wise(X0))) [input p6]
10. ! [X0] : ((generous(X0) | ~patient(X0)) => ~brave(X0)) [input p9]
11. ? [X0] : (~strong(X0) | ~funny(X0)) <=> ? [X0] : (brave(X0) & ~curio... | 0 |
Everyone who is not tall or happy is not rich. If john is strong then alice is quiet. If someone is not calm then someone is not creative. If someone is either not patient or tall then lucy is either not generous or kind. Everyone who is not humble or not happy is both curious and not tall. Everyone who is both quiet a... | Alice is brave. | neutral | (![X]:((~tall(X)|happy(X))=>~rich(X)))&
((strong(john))=>(quiet(alice)))&
((?[X]:(~calm(X)))=>(?[X]:(~creative(X))))&
((?[X]:((~patient(X)<~>tall(X))))=>((~generous(lucy)<~>kind(lucy))))&
(![X]:((~humble(X)|~happy(X))=>(curious(X)&~tall(X))))&
(![X]:((quiet(X)&curious(X))=>(creative(X)&~strong(X))))&
((?[X]:(humble(X))... | brave(alice) | [] | null | 0 |
If mary is either not tall or brave then fred is generous or not patient and vice versa. If someone is either kind or happy then fred is either not quiet or strong and vice versa. Everyone who is not curious or not wise is brave or strong. If mary is either wise or rich then lucy is either not tall or quiet and vice ve... | John is not wise. | entailment | (((~tall(mary)<~>brave(mary)))<=>((generous(fred)|~patient(fred))))&
((?[X]:((kind(X)<~>happy(X))))<=>((~quiet(fred)<~>strong(fred))))&
(![X]:((~curious(X)|~wise(X))=>(brave(X)|strong(X))))&
(((wise(mary)<~>rich(mary)))<=>((~tall(lucy)<~>quiet(lucy))))&
(![X]:(kind(X)=>(~patient(X)|happy(X))))&
(((happy(susan)<~>brave(... | ~wise(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3020273293981203918430734
% SZS output start Proof for 3020273293981203918430734
13. ! [X0] : ((tall(X0) & wise(X0)) <=> ~tall(X0)) [input p12]
23. wise(john) [input hypothesis]
59. ! [X0] : (((tall(X0) & wise(X0)) | tall(X0)) & (~tall(X0) | (~tall(X0) | ~wise(X0)))) [nnf transformation 1... | 0 |
If alice is either tall or not happy then paul is either not humble or kind and vice versa. If someone is both humble and old then fred is not rich or not creative. If someone is not creative then someone is either strong or not kind. If paul is quiet or not humble then fred is not happy and vice versa. If susan is ric... | Paul is patient. | neutral | (((tall(alice)<~>~happy(alice)))<=>((~humble(paul)<~>kind(paul))))&
((?[X]:((humble(X)&old(X))))=>((~rich(fred)|~creative(fred))))&
((?[X]:(~creative(X)))=>(?[X]:((strong(X)<~>~kind(X)))))&
(((quiet(paul)|~humble(paul)))<=>(~happy(fred)))&
(((rich(susan)|~brave(susan)))=>(rich(mary)))&
(![X]:(creative(X)<=>(~brave(X)<~... | patient(paul) | [] | null | 0 |
Everyone who is tall or not calm is both not brave and happy.
If someone is not rich then someone is not kind and vice versa.
If someone is either old or not quiet then john is either not humble or not curious.
Everyone who is patient is either not wise or old and vice versa.
Everyone who is happy or not calm is creati... | John is tall. | neutral | (![X]:((tall(X)|~calm(X))=>(~brave(X)&happy(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(~kind(X))))&
((?[X]:((old(X)<~>~quiet(X))))=>((~humble(john)<~>~curious(john))))&
(![X]:(patient(X)<=>(~wise(X)<~>old(X))))&
(![X]:((happy(X)|~calm(X))<=>(creative(X)|rich(X))))&
(![X]:((~brave(X)<~>kind(X))=>strong(X)))&
(![X]:((~quiet(X)<~... | tall(john) | [] | null | 0 |
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