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 fred is not generous or wise then someone is not wise or creative and vice versa.
If mary is both curious and not tall then someone is not old or not patient.
Everyone who is both not kind and old is either happy or patient.
If someone is patient or quiet then paul is not creative and vice versa.
Everyone who is not... | Paul is tall. | entailment | (((~generous(fred)|wise(fred)))<=>(?[X]:((~wise(X)|creative(X)))))&
(((curious(mary)&~tall(mary)))=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((~kind(X)&old(X))=>(happy(X)<~>patient(X))))&
((?[X]:((patient(X)|quiet(X))))<=>(~creative(paul)))&
(![X]:((~patient(X)|strong(X))<=>(~generous(X)&generous(X))))&
(((humble(lucy)|s... | tall(paul) | [
"p4",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4481261364615678851453945
% SZS output start Proof for 4481261364615678851453945
5. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (generous(X0) & ~generous(X0))) [input p4]
14. ! [X0] : (rich(X0) => (tall(X0) | wise(X0))) [input p13]
15. ! [X0] : ((wise(X0) | ~patient(X0)) <=> (generous(X0) |... | 0 |
Everyone who is not happy or kind is wise or rich and vice versa.
Everyone who is not happy is creative or not funny and vice versa.
Everyone who is happy or not generous is tall and vice versa.
If someone is both not old and not wise then fred is happy.
Everyone who is either not generous or not happy is either humble... | Mary is not tall. | contradiction | (![X]:((~happy(X)|kind(X))<=>(wise(X)|rich(X))))&
(![X]:(~happy(X)<=>(creative(X)|~funny(X))))&
(![X]:((happy(X)|~generous(X))<=>tall(X)))&
((?[X]:((~old(X)&~wise(X))))=>(happy(fred)))&
(![X]:((~generous(X)<~>~happy(X))=>(humble(X)<~>~brave(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(wise(X)<=>(~... | ~tall(mary) | [
"p2",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4942026858708453809508265
% SZS output start Proof for 4942026858708453809508265
3. ! [X0] : ((~generous(X0) | happy(X0)) <=> tall(X0)) [input p2]
24. happy(mary) & humble(mary) [input p23]
25. ~tall(mary) [input hypothesis]
37. ! [X0] : (((~generous(X0) | happy(X0)) | ~tall(X0)) & (tall(... | 0 |
Everyone who is either creative or quiet is not tall or wise and vice versa.
Everyone who is kind is both not funny and not strong.
Everyone who is not patient is not happy or humble.
If someone is not rich or strong then someone is both not calm and brave.
If paul is kind or not rich then someone is either not strong ... | Mary is creative. | entailment | (![X]:((creative(X)<~>quiet(X))<=>(~tall(X)|wise(X))))&
(![X]:(kind(X)=>(~funny(X)&~strong(X))))&
(![X]:(~patient(X)=>(~happy(X)|humble(X))))&
((?[X]:((~rich(X)|strong(X))))=>(?[X]:((~calm(X)&brave(X)))))&
(((kind(paul)|~rich(paul)))<=>(?[X]:((~strong(X)<~>~tall(X)))))&
(![X]:(kind(X)<=>(~quiet(X)&~creative(X))))&
(![X... | creative(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4190468021212122641675669
% SZS output start Proof for 4190468021212122641675669
8. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~humble(X0) | ~creative(X0))) [input p7]
22. ~creative(mary) [input hypothesis]
49. ! [X0] : (((~creative(X0) & creative(X0)) | (humble(X0) & creative(X0))) & ... | 0 |
Everyone who is not kind is both funny and not humble and vice versa.
Everyone who is quiet or not happy is not humble or not patient and vice versa.
If someone is not kind or creative then alice is quiet and vice versa.
Everyone who is funny or tall is old.
If susan is both not funny and not quiet then paul is not str... | Fred is rich. | entailment | (![X]:(~kind(X)<=>(funny(X)&~humble(X))))&
(![X]:((quiet(X)|~happy(X))<=>(~humble(X)|~patient(X))))&
((?[X]:((~kind(X)|creative(X))))<=>(quiet(alice)))&
(![X]:((funny(X)|tall(X))=>old(X)))&
(((~funny(susan)&~quiet(susan)))=>((~strong(paul)|humble(paul))))&
((?[X]:((~patient(X)<~>~curious(X))))<=>((generous(susan)|~curi... | rich(fred) | [
"p3",
"p10",
"p12",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1884900915208922843778493
% SZS output start Proof for 1884900915208922843778493
4. ! [X0] : ((tall(X0) | funny(X0)) => old(X0)) [input p3]
11. ! [X0] : ((generous(X0) | ~tall(X0)) <=> quiet(X0)) [input p10]
13. ? [X0] : (humble(X0) | ~old(X0)) <=> (brave(fred) & ~old(fred)) [input p12]
1... | 0 |
If someone is both not tall and brave then someone is both strong and patient. Everyone who is not happy is not rich or not generous. Everyone who is both not creative and old is either not quiet or not curious. If john is both not creative and patient then someone is kind and vice versa. If someone is both rich and no... | Mary is not brave. | entailment | ((?[X]:((~tall(X)&brave(X))))=>(?[X]:((strong(X)&patient(X)))))&
(![X]:(~happy(X)=>(~rich(X)|~generous(X))))&
(![X]:((~creative(X)&old(X))=>(~quiet(X)<~>~curious(X))))&
(((~creative(john)&patient(john)))<=>(?[X]:(kind(X))))&
((?[X]:((rich(X)&~funny(X))))<=>(?[X]:(~patient(X))))&
(((wise(mary)<~>funny(mary)))<=>(?[X]:(~... | ~brave(mary) | [
"p7",
"p10",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8844856413087132717620
% SZS output start Proof for 8844856413087132717620
8. ! [X0] : ((~strong(X0) & kind(X0)) <=> brave(X0)) [input p7]
11. ! [X0] : ((~wise(X0) & wise(X0)) <=> (rich(X0) <~> old(X0))) [input p10]
13. ? [X0] : ~generous(X0) => (rich(mary) <~> ~strong(mary)) [input p12]
... | 0 |
If someone is not strong then mary is either not curious or not rich.
If someone is either strong or not happy then someone is generous.
Everyone who is humble is quiet or not rich and vice versa.
If someone is not quiet or patient then fred is both humble and not old.
Everyone who is both not humble and not rich is ei... | Susan is not old. | entailment | ((?[X]:(~strong(X)))=>((~curious(mary)<~>~rich(mary))))&
((?[X]:((strong(X)<~>~happy(X))))=>(?[X]:(generous(X))))&
(![X]:(humble(X)<=>(quiet(X)|~rich(X))))&
((?[X]:((~quiet(X)|patient(X))))=>((humble(fred)&~old(fred))))&
(![X]:((~humble(X)&~rich(X))<=>(tall(X)<~>~patient(X))))&
(![X]:((~generous(X)&curious(X))=>generou... | ~old(susan) | [
"p2",
"p4",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1993817869346052573817870
% SZS output start Proof for 1993817869346052573817870
3. ! [X0] : (humble(X0) <=> (~rich(X0) | quiet(X0))) [input p2]
5. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> (tall(X0) <~> ~patient(X0))) [input p4]
9. ! [X0] : ((~creative(X0) | old(X0)) => (~tall(X0) & ~gener... | 0 |
If someone is both not strong and not creative then someone is not humble and vice versa.
Everyone who is not happy is wise.
Everyone who is not creative is both not happy and brave and vice versa.
Everyone who is generous is both funny and not old and vice versa.
Everyone who is either generous or kind is old or not t... | Lucy is strong. | neutral | ((?[X]:((~strong(X)&~creative(X))))<=>(?[X]:(~humble(X))))&
(![X]:(~happy(X)=>wise(X)))&
(![X]:(~creative(X)<=>(~happy(X)&brave(X))))&
(![X]:(generous(X)<=>(funny(X)&~old(X))))&
(![X]:((generous(X)<~>kind(X))<=>(old(X)|~tall(X))))&
(![X]:((creative(X)&old(X))<=>(~rich(X)&calm(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(... | strong(lucy) | [] | null | 0 |
If someone is either old or not quiet then lucy is rich or not strong and vice versa.
If susan is both not strong and not patient then paul is both not curious and not humble and vice versa.
If lucy is both calm and not generous then someone is both strong and curious.
Everyone who is either creative or not tall is not... | Paul is not strong. | neutral | ((?[X]:((old(X)<~>~quiet(X))))<=>((rich(lucy)|~strong(lucy))))&
(((~strong(susan)&~patient(susan)))<=>((~curious(paul)&~humble(paul))))&
(((calm(lucy)&~generous(lucy)))=>(?[X]:((strong(X)&curious(X)))))&
(![X]:((creative(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((brave(X)&humble(X))=>(~calm(X)<~>quiet(X))))&
(((creative(... | ~strong(paul) | [] | null | 0 |
Everyone who is either generous or creative is either not humble or not curious and vice versa.
Everyone who is not happy is both not generous and brave and vice versa.
If john is not strong or not generous then someone is brave or kind.
Everyone who is generous is either curious or not kind and vice versa.
Everyone wh... | Paul is strong. | entailment | (![X]:((generous(X)<~>creative(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:(~happy(X)<=>(~generous(X)&brave(X))))&
(((~strong(john)|~generous(john)))=>(?[X]:((brave(X)|kind(X)))))&
(![X]:(generous(X)<=>(curious(X)<~>~kind(X))))&
(![X]:((~patient(X)|kind(X))=>~strong(X)))&
(![X]:((~quiet(X)|~old(X))<=>(humble(X)|funny(X))... | strong(paul) | [
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4391940686935888860283
% SZS output start Proof for 4391940686935888860283
16. ! [X0] : (~funny(X0) <=> (funny(X0) | calm(X0))) [input p15]
19. ~strong(paul) <~> ~funny(paul) [input p18]
25. ~strong(paul) [input hypothesis]
71. ! [X0] : ((~funny(X0) | (~funny(X0) & ~calm(X0))) & ((funny(X... | 0 |
Everyone who is either patient or humble is quiet or humble and vice versa. Everyone who is calm or not quiet is calm. If john is not calm then fred is not kind. Everyone who is either happy or calm is either not generous or generous and vice versa. Everyone who is not humble or not creative is not humble and vice vers... | Paul is kind. | neutral | (![X]:((patient(X)<~>humble(X))<=>(quiet(X)|humble(X))))&
(![X]:((calm(X)|~quiet(X))=>calm(X)))&
((~calm(john))=>(~kind(fred)))&
(![X]:((happy(X)<~>calm(X))<=>(~generous(X)<~>generous(X))))&
(![X]:((~humble(X)|~creative(X))<=>~humble(X)))&
(![X]:((~patient(X)&creative(X))=>(~creative(X)|calm(X))))&
((?[X]:((~funny(X)<~... | kind(paul) | [] | null | 0 |
If alice is curious or generous then someone is humble or not wise and vice versa.
Everyone who is strong or not humble is both humble and calm.
If someone is both generous and funny then someone is either funny or quiet and vice versa.
Everyone who is both not funny and not quiet is calm and vice versa.
If lucy is not... | Fred is not old. | entailment | (((curious(alice)|generous(alice)))<=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:((strong(X)|~humble(X))=>(humble(X)&calm(X))))&
((?[X]:((generous(X)&funny(X))))<=>(?[X]:((funny(X)<~>quiet(X)))))&
(![X]:((~funny(X)&~quiet(X))<=>calm(X)))&
(((~rich(lucy)|strong(lucy)))<=>((~creative(paul)<~>kind(paul))))&
((?[X]:((~tall(X)<~... | ~old(fred) | [
"p1",
"p3",
"p6",
"p7",
"p9",
"p10",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3028271012540049330969665
% SZS output start Proof for 3028271012540049330969665
2. ! [X0] : ((~humble(X0) | strong(X0)) => (calm(X0) & humble(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) & ~funny(X0)) <=> calm(X0)) [input p3]
7. ! [X0] : ((~funny(X0) | creative(X0)) <=> (~old(X0) & patient(... | 0 |
Everyone who is both tall and not happy is tall or old and vice versa. Everyone who is kind or not wise is either not wise or not funny and vice versa. Everyone who is happy or tall is both not happy and not wise. Everyone who is not quiet is not quiet or not creative and vice versa. If someone is not brave then lucy i... | Lucy is tall. | neutral | (![X]:((tall(X)&~happy(X))<=>(tall(X)|old(X))))&
(![X]:((kind(X)|~wise(X))<=>(~wise(X)<~>~funny(X))))&
(![X]:((happy(X)|tall(X))=>(~happy(X)&~wise(X))))&
(![X]:(~quiet(X)<=>(~quiet(X)|~creative(X))))&
((?[X]:(~brave(X)))<=>((generous(lucy)<~>rich(lucy))))&
(![X]:((~wise(X)&calm(X))<=>(~brave(X)<~>~tall(X))))&
(![X]:(ki... | tall(lucy) | [] | null | 0 |
Everyone who is both old and not strong is either not wise or creative.
If someone is both not generous and patient then someone is both kind and not kind.
If fred is both wise and generous then paul is either funny or creative and vice versa.
If someone is both happy and patient then mary is wise or generous and vice ... | John is rich. | contradiction | (![X]:((old(X)&~strong(X))=>(~wise(X)<~>creative(X))))&
((?[X]:((~generous(X)&patient(X))))=>(?[X]:((kind(X)&~kind(X)))))&
(((wise(fred)&generous(fred)))<=>((funny(paul)<~>creative(paul))))&
((?[X]:((happy(X)&patient(X))))<=>((wise(mary)|generous(mary))))&
(![X]:((generous(X)&~quiet(X))<=>~old(X)))&
(![X]:(~curious(X)=... | rich(john) | [
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3975667261792526298329248
% SZS output start Proof for 3975667261792526298329248
5. ! [X0] : ((~quiet(X0) & generous(X0)) <=> ~old(X0)) [input p4]
9. ! [X0] : ((old(X0) | creative(X0)) => ~quiet(X0)) [input p8]
15. ! [X0] : ((~rich(X0) | ~quiet(X0)) <=> (quiet(X0) <~> ~rich(X0))) [input p... | 0 |
If someone is both not strong and not kind then lucy is either not patient or not wise and vice versa.
Everyone who is not calm is either old or not humble and vice versa.
If john is not quiet or not creative then someone is not old or not patient.
Everyone who is not generous or not curious is brave or not old and vic... | Lucy is happy. | contradiction | ((?[X]:((~strong(X)&~kind(X))))<=>((~patient(lucy)<~>~wise(lucy))))&
(![X]:(~calm(X)<=>(old(X)<~>~humble(X))))&
(((~quiet(john)|~creative(john)))=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((~generous(X)|~curious(X))<=>(brave(X)|~old(X))))&
(![X]:(~happy(X)<=>generous(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>(?[X]:((curio... | happy(lucy) | [
"p3",
"p4",
"p7",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2463055799899420333314607
% SZS output start Proof for 2463055799899420333314607
4. ! [X0] : ((~curious(X0) | ~generous(X0)) <=> (~old(X0) | brave(X0))) [input p3]
5. ! [X0] : (~happy(X0) <=> generous(X0)) [input p4]
8. ? [X0] : calm(X0) => (creative(lucy) & quiet(lucy)) [input p7]
11. ! ... | 0 |
Everyone who is not happy or not curious is both patient and old and vice versa.
Everyone who is not generous or funny is not old or not strong and vice versa.
Everyone who is either happy or not brave is strong or not creative.
If someone is both happy and curious then someone is not strong or not quiet.
If someone is... | Lucy is not patient. | contradiction | (![X]:((~happy(X)|~curious(X))<=>(patient(X)&old(X))))&
(![X]:((~generous(X)|funny(X))<=>(~old(X)|~strong(X))))&
(![X]:((happy(X)<~>~brave(X))=>(strong(X)|~creative(X))))&
((?[X]:((happy(X)&curious(X))))=>(?[X]:((~strong(X)|~quiet(X)))))&
((?[X]:((curious(X)<~>creative(X))))=>(?[X]:((~patient(X)&curious(X)))))&
(![X]:(... | ~patient(lucy) | [
"p0",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 306620705094952276837746
% SZS output start Proof for 306620705094952276837746
1. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (old(X0) & patient(X0))) [input p0]
8. ! [X0] : ((~kind(X0) | ~brave(X0)) <=> patient(X0)) [input p7]
13. ! [X0] : ((happy(X0) & ~generous(X0)) <=> (~kind(X0) & rich... | 0 |
If lucy is strong then paul is patient and vice versa.
Everyone who is not generous or not creative is either humble or curious.
Everyone who is quiet is both strong and not patient.
If fred is brave then someone is not strong or not happy and vice versa.
Everyone who is not generous is both not curious and generous.
I... | Fred is calm. | neutral | ((strong(lucy))<=>(patient(paul)))&
(![X]:((~generous(X)|~creative(X))=>(humble(X)<~>curious(X))))&
(![X]:(quiet(X)=>(strong(X)&~patient(X))))&
((brave(fred))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:(~generous(X)=>(~curious(X)&generous(X))))&
((?[X]:(brave(X)))<=>((~curious(lucy)&~humble(lucy))))&
(![X]:((patient(X)|... | calm(fred) | [] | null | 0 |
If someone is either not kind or not rich then mary is both not brave and not humble.
Everyone who is both humble and not curious is not generous or not calm and vice versa.
Everyone who is not curious is old or not kind and vice versa.
Everyone who is not humble is strong.
If john is either not creative or not kind th... | Fred is brave. | neutral | ((?[X]:((~kind(X)<~>~rich(X))))=>((~brave(mary)&~humble(mary))))&
(![X]:((humble(X)&~curious(X))<=>(~generous(X)|~calm(X))))&
(![X]:(~curious(X)<=>(old(X)|~kind(X))))&
(![X]:(~humble(X)=>strong(X)))&
(((~creative(john)<~>~kind(john)))=>((~quiet(fred)&old(fred))))&
(![X]:((~happy(X)|patient(X))=>generous(X)))&
(![X]:((r... | brave(fred) | [] | null | 0 |
If someone is both tall and not happy then someone is both brave and not strong and vice versa.
If susan is either rich or not tall then someone is either not happy or quiet.
If lucy is either funny or not strong then someone is both kind and strong and vice versa.
If someone is both wise and not brave then someone is ... | Susan is not generous. | entailment | ((?[X]:((tall(X)&~happy(X))))<=>(?[X]:((brave(X)&~strong(X)))))&
(((rich(susan)<~>~tall(susan)))=>(?[X]:((~happy(X)<~>quiet(X)))))&
(((funny(lucy)<~>~strong(lucy)))<=>(?[X]:((kind(X)&strong(X)))))&
((?[X]:((wise(X)&~brave(X))))=>(?[X]:((~brave(X)&~wise(X)))))&
((?[X]:(~wise(X)))=>(?[X]:((tall(X)&quiet(X)))))&
((?[X]:(t... | ~generous(susan) | [
"p0",
"p3",
"p4",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5744802931752839447208853
% SZS output start Proof for 5744802931752839447208853
1. ? [X0] : (~happy(X0) & tall(X0)) <=> ? [X0] : (~strong(X0) & brave(X0)) [input p0]
4. ? [X0] : (~brave(X0) & wise(X0)) => ? [X0] : (~wise(X0) & ~brave(X0)) [input p3]
5. ? [X0] : ~wise(X0) => ? [X0] : (qui... | 0 |
Everyone who is both not wise and creative is both not happy and wise and vice versa.
If susan is wise or old then mary is generous or funny and vice versa.
Everyone who is not rich or not kind is either patient or not kind and vice versa.
If paul is both funny and not happy then someone is calm and vice versa.
Everyon... | Susan is not curious. | contradiction | (![X]:((~wise(X)&creative(X))<=>(~happy(X)&wise(X))))&
(((wise(susan)|old(susan)))<=>((generous(mary)|funny(mary))))&
(![X]:((~rich(X)|~kind(X))<=>(patient(X)<~>~kind(X))))&
(((funny(paul)&~happy(paul)))<=>(?[X]:(calm(X))))&
(![X]:((brave(X)&strong(X))<=>(brave(X)|~happy(X))))&
(![X]:(quiet(X)<=>(~patient(X)&~kind(X)))... | ~curious(susan) | [
"p2",
"p6",
"p7",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 268407583589208436200892
% SZS output start Proof for 268407583589208436200892
3. ! [X0] : ((~kind(X0) | ~rich(X0)) <=> (patient(X0) <~> ~kind(X0))) [input p2]
7. ! [X0] : ((patient(X0) <~> rich(X0)) <=> (curious(X0) <~> ~rich(X0))) [input p6]
8. ! [X0] : ((~humble(X0) <~> ~old(X0)) <=> (... | 0 |
If someone is both not rich and not strong then mary is not brave.
Everyone who is not old is either tall or not patient and vice versa.
Everyone who is both not kind and not humble is either generous or not kind and vice versa.
If someone is not strong then someone is not brave.
If paul is humble or wise then someone ... | Mary is generous. | neutral | ((?[X]:((~rich(X)&~strong(X))))=>(~brave(mary)))&
(![X]:(~old(X)<=>(tall(X)<~>~patient(X))))&
(![X]:((~kind(X)&~humble(X))<=>(generous(X)<~>~kind(X))))&
((?[X]:(~strong(X)))=>(?[X]:(~brave(X))))&
(((humble(paul)|wise(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((quiet(X)&calm(X))<=>(strong(X)&~old(X))))&
(((generous(fred)&~... | generous(mary) | [] | null | 0 |
If someone is either not rich or not quiet then john is both not calm and strong.
Everyone who is both creative and quiet is happy and vice versa.
Everyone who is kind or creative is either not old or not curious.
Everyone who is patient or wise is creative or humble and vice versa.
If alice is creative or not funny th... | John is humble. | neutral | ((?[X]:((~rich(X)<~>~quiet(X))))=>((~calm(john)&strong(john))))&
(![X]:((creative(X)&quiet(X))<=>happy(X)))&
(![X]:((kind(X)|creative(X))=>(~old(X)<~>~curious(X))))&
(![X]:((patient(X)|wise(X))<=>(creative(X)|humble(X))))&
(((creative(alice)|~funny(alice)))<=>((calm(paul)|kind(paul))))&
(![X]:(strong(X)<=>(~brave(X)<~>... | humble(john) | [] | null | 0 |
If someone is happy then someone is either curious or wise.
Everyone who is either not happy or tall is both not generous and not brave.
If alice is both not humble and not quiet then lucy is both calm and happy and vice versa.
Everyone who is not strong or rich is not old.
Everyone who is either strong or calm is eith... | John is calm. | neutral | ((?[X]:(happy(X)))=>(?[X]:((curious(X)<~>wise(X)))))&
(![X]:((~happy(X)<~>tall(X))=>(~generous(X)&~brave(X))))&
(((~humble(alice)&~quiet(alice)))<=>((calm(lucy)&happy(lucy))))&
(![X]:((~strong(X)|rich(X))=>~old(X)))&
(![X]:((strong(X)<~>calm(X))=>(~old(X)<~>happy(X))))&
(![X]:((calm(X)&~rich(X))=>(patient(X)&calm(X))))... | calm(john) | [] | null | 0 |
If susan is not old then fred is not calm or not humble and vice versa.
Everyone who is not calm is not creative.
If someone is both kind and strong then paul is not creative and vice versa.
Everyone who is brave or happy is either not kind or curious and vice versa.
If someone is either not quiet or humble then someon... | Alice is rich. | contradiction | ((~old(susan))<=>((~calm(fred)|~humble(fred))))&
(![X]:(~calm(X)=>~creative(X)))&
((?[X]:((kind(X)&strong(X))))<=>(~creative(paul)))&
(![X]:((brave(X)|happy(X))<=>(~kind(X)<~>curious(X))))&
((?[X]:((~quiet(X)<~>humble(X))))<=>(?[X]:(~curious(X))))&
((?[X]:((brave(X)&~funny(X))))<=>(?[X]:(funny(X))))&
(![X]:((~generous(... | rich(alice) | [
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 178640433384580346363143
% SZS output start Proof for 178640433384580346363143
8. ? [X0] : (~generous(X0) | ~quiet(X0)) <=> ~quiet(alice) [input p7]
14. ! [X0] : ((rich(X0) | calm(X0)) <=> (quiet(X0) & ~patient(X0))) [input p13]
19. ? [X0] : ~generous(X0) [input p18]
24. rich(alice) [inpu... | 0 |
If someone is strong or humble then someone is both not kind and brave.
If someone is either not humble or strong then someone is not kind or happy and vice versa.
If someone is not kind then fred is both humble and brave and vice versa.
Everyone who is not funny or curious is not calm and vice versa.
Everyone who is n... | Fred is not patient. | contradiction | ((?[X]:((strong(X)|humble(X))))=>(?[X]:((~kind(X)&brave(X)))))&
((?[X]:((~humble(X)<~>strong(X))))<=>(?[X]:((~kind(X)|happy(X)))))&
((?[X]:(~kind(X)))<=>((humble(fred)&brave(fred))))&
(![X]:((~funny(X)|curious(X))<=>~calm(X)))&
(![X]:(~calm(X)<=>~curious(X)))&
(![X]:((~wise(X)<~>kind(X))=>(~brave(X)&~humble(X))))&
(![X... | ~patient(fred) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1448156627448185214326635
% SZS output start Proof for 1448156627448185214326635
1. ? [X0] : (humble(X0) | strong(X0)) => ? [X0] : (brave(X0) & ~kind(X0)) [input p0]
2. ? [X0] : (~humble(X0) <~> strong(X0)) <=> ? [X0] : (happy(X0) | ~kind(X0)) [input p1]
3. ? [X0] : ~kind(X0) <=> (brave(f... | 0 |
Everyone who is creative is kind and vice versa. Everyone who is not rich or wise is generous and vice versa. Everyone who is either not curious or not wise is either not curious or not brave. If someone is not generous then paul is both strong and not patient. Everyone who is generous is either happy or not wise. Ever... | Fred is not kind. | neutral | (![X]:(creative(X)<=>kind(X)))&
(![X]:((~rich(X)|wise(X))<=>generous(X)))&
(![X]:((~curious(X)<~>~wise(X))=>(~curious(X)<~>~brave(X))))&
((?[X]:(~generous(X)))=>((strong(paul)&~patient(paul))))&
(![X]:(generous(X)=>(happy(X)<~>~wise(X))))&
(![X]:((~patient(X)|patient(X))<=>rich(X)))&
((~funny(mary))=>((rich(lucy)&funny... | ~kind(fred) | [] | null | 0 |
If susan is generous or old then paul is not old and vice versa. If someone is both not brave and curious then someone is not funny and vice versa. Everyone who is either not humble or not strong is both calm and patient and vice versa. Everyone who is both not creative and strong is both not calm and not humble. Every... | Susan is humble. | contradiction | (((generous(susan)|old(susan)))<=>(~old(paul)))&
((?[X]:((~brave(X)&curious(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~humble(X)<~>~strong(X))<=>(calm(X)&patient(X))))&
(![X]:((~creative(X)&strong(X))=>(~calm(X)&~humble(X))))&
(![X]:((brave(X)<~>~happy(X))<=>(~patient(X)&~funny(X))))&
(![X]:(patient(X)=>(~humble(X)&~calm(X)... | humble(susan) | [
"p2",
"p3",
"p5",
"p7",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7880045271585685623491904
% SZS output start Proof for 7880045271585685623491904
3. ! [X0] : ((~humble(X0) <~> ~strong(X0)) <=> (patient(X0) & calm(X0))) [input p2]
4. ! [X0] : ((strong(X0) & ~creative(X0)) => (~humble(X0) & ~calm(X0))) [input p3]
6. ! [X0] : (patient(X0) => (~calm(X0) & ... | 0 |
If someone is either not patient or not wise then someone is calm or not quiet.
Everyone who is not creative is tall.
If someone is wise or kind then someone is brave or strong.
Everyone who is not funny is both not funny and tall and vice versa.
If someone is tall or kind then someone is both humble and not kind and v... | John is creative. | neutral | ((?[X]:((~patient(X)<~>~wise(X))))=>(?[X]:((calm(X)|~quiet(X)))))&
(![X]:(~creative(X)=>tall(X)))&
((?[X]:((wise(X)|kind(X))))=>(?[X]:((brave(X)|strong(X)))))&
(![X]:(~funny(X)<=>(~funny(X)&tall(X))))&
((?[X]:((tall(X)|kind(X))))<=>(?[X]:((humble(X)&~kind(X)))))&
(![X]:(~humble(X)=>(old(X)&~curious(X))))&
(![X]:(genero... | creative(john) | [] | null | 0 |
Everyone who is either not brave or brave is not generous or strong.
Everyone who is either happy or kind is both not brave and patient and vice versa.
Everyone who is either creative or calm is not happy or brave and vice versa.
Everyone who is patient or not happy is humble.
Everyone who is either not strong or happy... | Susan is not happy. | contradiction | (![X]:((~brave(X)<~>brave(X))=>(~generous(X)|strong(X))))&
(![X]:((happy(X)<~>kind(X))<=>(~brave(X)&patient(X))))&
(![X]:((creative(X)<~>calm(X))<=>(~happy(X)|brave(X))))&
(![X]:((patient(X)|~happy(X))=>humble(X)))&
(![X]:((~strong(X)<~>happy(X))<=>(~happy(X)|brave(X))))&
((?[X]:((tall(X)|quiet(X))))<=>(?[X]:((quiet(X)... | ~happy(susan) | [
"p1",
"p3",
"p4",
"p7",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6348416562716272755361623
% SZS output start Proof for 6348416562716272755361623
2. ! [X0] : ((happy(X0) <~> kind(X0)) <=> (patient(X0) & ~brave(X0))) [input p1]
4. ! [X0] : ((~happy(X0) | patient(X0)) => humble(X0)) [input p3]
5. ! [X0] : ((~strong(X0) <~> happy(X0)) <=> (brave(X0) | ~ha... | 0 |
Everyone who is not wise or not old is both rich and not wise and vice versa.
If john is not brave or not kind then alice is either not humble or not kind.
Everyone who is humble or creative is either not humble or brave.
Everyone who is not creative or creative is funny.
If someone is patient then someone is both not ... | Lucy is quiet. | contradiction | (![X]:((~wise(X)|~old(X))<=>(rich(X)&~wise(X))))&
(((~brave(john)|~kind(john)))=>((~humble(alice)<~>~kind(alice))))&
(![X]:((humble(X)|creative(X))=>(~humble(X)<~>brave(X))))&
(![X]:((~creative(X)|creative(X))=>funny(X)))&
((?[X]:(patient(X)))<=>(?[X]:((~curious(X)&~generous(X)))))&
((?[X]:((brave(X)&~old(X))))=>(?[X]:... | quiet(lucy) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1125914126648561583317783
% SZS output start Proof for 1125914126648561583317783
1. ! [X0] : ((~old(X0) | ~wise(X0)) <=> (~wise(X0) & rich(X0))) [input p0]
4. ! [X0] : ((creative(X0) | ~creative(X0)) => funny(X0)) [input p3]
5. ? [X0] : patient(X0) <=> ? [X0] : (~generous(X0) & ~curious(X... | 0 |
If susan is both creative and humble then someone is either not calm or quiet.
Everyone who is strong is not patient or rich and vice versa.
Everyone who is both kind and not creative is both not patient and not curious and vice versa.
If someone is not brave then someone is either wise or not creative.
Everyone who is... | Mary is not creative. | contradiction | (((creative(susan)&humble(susan)))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:(strong(X)<=>(~patient(X)|rich(X))))&
(![X]:((kind(X)&~creative(X))<=>(~patient(X)&~curious(X))))&
((?[X]:(~brave(X)))=>(?[X]:((wise(X)<~>~creative(X)))))&
(![X]:((~old(X)<~>~humble(X))=>calm(X)))&
(![X]:((~calm(X)&wise(X))<=>(funny(X)&generous(... | ~creative(mary) | [
"p2",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2883898101239335162883523
% SZS output start Proof for 2883898101239335162883523
3. ! [X0] : ((~creative(X0) & kind(X0)) <=> (~curious(X0) & ~patient(X0))) [input p2]
16. ! [X0] : (~patient(X0) => (~happy(X0) & happy(X0))) [input p15]
24. creative(mary) <~> kind(mary) [input p23]
25. ~cre... | 0 |
Everyone who is both strong and rich is both not brave and not patient.
If mary is both quiet and not old then someone is both not quiet and brave.
If susan is either not brave or not tall then paul is not happy or not brave and vice versa.
Everyone who is not kind or not curious is both not brave and not humble and vi... | Fred is not brave. | entailment | (![X]:((strong(X)&rich(X))=>(~brave(X)&~patient(X))))&
(((quiet(mary)&~old(mary)))=>(?[X]:((~quiet(X)&brave(X)))))&
(((~brave(susan)<~>~tall(susan)))<=>((~happy(paul)|~brave(paul))))&
(![X]:((~kind(X)|~curious(X))<=>(~brave(X)&~humble(X))))&
(((creative(susan)|funny(susan)))=>((~old(alice)|~kind(alice))))&
((?[X]:((~qu... | ~brave(fred) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4612381738585288231314440
% SZS output start Proof for 4612381738585288231314440
4. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> (~humble(X0) & ~brave(X0))) [input p3]
11. ! [X0] : (~kind(X0) <=> (~humble(X0) | kind(X0))) [input p10]
23. brave(fred) [input hypothesis]
41. ! [X0] : (((~curious... | 0 |
Everyone who is not curious or not wise is either not creative or not funny. Everyone who is either patient or tall is not brave or not strong. If someone is either kind or not happy then someone is either humble or generous. If someone is either quiet or not old then someone is both not generous and patient. If someon... | Mary is not strong. | neutral | (![X]:((~curious(X)|~wise(X))=>(~creative(X)<~>~funny(X))))&
(![X]:((patient(X)<~>tall(X))=>(~brave(X)|~strong(X))))&
((?[X]:((kind(X)<~>~happy(X))))=>(?[X]:((humble(X)<~>generous(X)))))&
((?[X]:((quiet(X)<~>~old(X))))=>(?[X]:((~generous(X)&patient(X)))))&
((?[X]:((old(X)<~>~rich(X))))=>(?[X]:((~generous(X)|calm(X)))))... | ~strong(mary) | [] | null | 0 |
If someone is either not tall or old then someone is either curious or not tall.
Everyone who is both wise and happy is either not strong or wise and vice versa.
Everyone who is both not strong and funny is not tall or wise and vice versa.
If paul is humble or not creative then someone is wise or rich.
Everyone who is ... | Alice is not kind. | entailment | ((?[X]:((~tall(X)<~>old(X))))=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:((wise(X)&happy(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((~strong(X)&funny(X))<=>(~tall(X)|wise(X))))&
(((humble(paul)|~creative(paul)))=>(?[X]:((wise(X)|rich(X)))))&
(![X]:((~calm(X)&generous(X))=>(~generous(X)|~tall(X))))&
((?[X]:(calm(X)))<=>(?[X]... | ~kind(alice) | [
"p1",
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2629465187198920618431399
% SZS output start Proof for 2629465187198920618431399
2. ! [X0] : ((happy(X0) & wise(X0)) <=> (~strong(X0) <~> wise(X0))) [input p1]
3. ! [X0] : ((funny(X0) & ~strong(X0)) <=> (wise(X0) | ~tall(X0))) [input p2]
8. ! [X0] : ((wise(X0) & kind(X0)) <=> strong(X0)) ... | 0 |
Everyone who is curious or generous is both tall and not curious and vice versa.
If susan is not happy then someone is either happy or creative.
Everyone who is strong is either not creative or not happy and vice versa.
If someone is kind then someone is calm and vice versa.
Everyone who is either quiet or old is not r... | Paul is not happy. | neutral | (![X]:((curious(X)|generous(X))<=>(tall(X)&~curious(X))))&
((~happy(susan))=>(?[X]:((happy(X)<~>creative(X)))))&
(![X]:(strong(X)<=>(~creative(X)<~>~happy(X))))&
((?[X]:(kind(X)))<=>(?[X]:(calm(X))))&
(![X]:((quiet(X)<~>old(X))<=>~rich(X)))&
((?[X]:((~old(X)&happy(X))))=>(?[X]:((~old(X)|old(X)))))&
((?[X]:(~old(X)))<=>... | ~happy(paul) | [] | null | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is funny or quiet is not quiet and vice versa.
If someone is not old or not curious then someone is both not tall and not rich and vice versa.
If john is not calm then someone is not curious or not tall.
If someone is not tall or happy then som... | Paul is funny. | entailment | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((?[X]:((~old(X)|~curious(X))))<=>(?[X]:((~tall(X)&~rich(X)))))&
((~calm(john))=>(?[X]:((~curious(X)|~tall(X)))))&
((?[X]:((~tall(X)|happy(X))))=>(?[X]:((quiet(X)&funny(X)))))&
(![X]:(funny(X)=>(rich(X)&calm(X))))&
(![X]:((... | funny(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6992776482795651738473728
% SZS output start Proof for 6992776482795651738473728
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
19. ~funny(paul) [input hypothesis]
36. ! [X0] : (((quiet(X0) | funny(X0)) | quiet(X0)) & (~quiet(X0) | (~quiet(X0) & ~funny(X0)))) [nnf transfo... | 0 |
Everyone who is both happy and not funny is not patient or not humble. If john is either wise or not kind then john is not patient. Everyone who is curious is not humble and vice versa. Everyone who is not humble is either rich or not humble. If john is wise or not brave then lucy is not humble. Everyone who is both ha... | Paul is tall. | entailment | (![X]:((happy(X)&~funny(X))=>(~patient(X)|~humble(X))))&
(((wise(john)<~>~kind(john)))=>(~patient(john)))&
(![X]:(curious(X)<=>~humble(X)))&
(![X]:(~humble(X)=>(rich(X)<~>~humble(X))))&
(((wise(john)|~brave(john)))=>(~humble(lucy)))&
(![X]:((happy(X)&wise(X))<=>(~calm(X)<~>old(X))))&
((?[X]:(~happy(X)))<=>((tall(mary)<... | tall(paul) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6298378394366750889570661
% SZS output start Proof for 6298378394366750889570661
12. ! [X0] : ((calm(X0) & funny(X0)) <=> (humble(X0) | ~wise(X0))) [input p11]
14. ! [X0] : (~tall(X0) <=> (~funny(X0) & ~wise(X0))) [input p13]
25. ~tall(paul) [input hypothesis]
54. ! [X0] : (((calm(X0) & f... | 0 |
If someone is both not strong and not wise then someone is either not funny or not humble. If someone is either happy or not patient then alice is both not funny and not strong. If susan is strong then someone is not wise and vice versa. Everyone who is old is both not wise and not humble and vice versa. Everyone who i... | John is tall. | contradiction | ((?[X]:((~strong(X)&~wise(X))))=>(?[X]:((~funny(X)<~>~humble(X)))))&
((?[X]:((happy(X)<~>~patient(X))))=>((~funny(alice)&~strong(alice))))&
((strong(susan))<=>(?[X]:(~wise(X))))&
(![X]:(old(X)<=>(~wise(X)&~humble(X))))&
(![X]:((tall(X)&~old(X))<=>(~creative(X)&brave(X))))&
(![X]:(~happy(X)=>(~generous(X)&~wise(X))))&
(... | tall(john) | [
"p3",
"p4",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8582979424777980727662703
% SZS output start Proof for 8582979424777980727662703
4. ! [X0] : (old(X0) <=> (~humble(X0) & ~wise(X0))) [input p3]
5. ! [X0] : ((~old(X0) & tall(X0)) <=> (brave(X0) & ~creative(X0))) [input p4]
16. ! [X0] : ((tall(X0) & wise(X0)) <=> ~humble(X0)) [input p15]
2... | 0 |
Everyone who is not curious or patient is both not wise and happy.
If paul is not brave then someone is quiet or not strong and vice versa.
If john is kind then someone is rich or wise.
Everyone who is either not old or happy is tall.
If mary is not tall then someone is old or generous and vice versa.
If someone is eit... | John is old. | neutral | (![X]:((~curious(X)|patient(X))=>(~wise(X)&happy(X))))&
((~brave(paul))<=>(?[X]:((quiet(X)|~strong(X)))))&
((kind(john))=>(?[X]:((rich(X)|wise(X)))))&
(![X]:((~old(X)<~>happy(X))=>tall(X)))&
((~tall(mary))<=>(?[X]:((old(X)|generous(X)))))&
((?[X]:((~funny(X)<~>~happy(X))))<=>((~happy(susan)<~>~humble(susan))))&
(![X]:(... | old(john) | [] | null | 0 |
Everyone who is both humble and not happy is both not wise and old.
Everyone who is either quiet or happy is not wise or not curious and vice versa.
If someone is either generous or curious then john is happy and vice versa.
If mary is either curious or brave then someone is tall or not calm.
Everyone who is either kin... | Mary is humble. | entailment | (![X]:((humble(X)&~happy(X))=>(~wise(X)&old(X))))&
(![X]:((quiet(X)<~>happy(X))<=>(~wise(X)|~curious(X))))&
((?[X]:((generous(X)<~>curious(X))))<=>(happy(john)))&
(((curious(mary)<~>brave(mary)))=>(?[X]:((tall(X)|~calm(X)))))&
(![X]:((kind(X)<~>~strong(X))=>(humble(X)|~strong(X))))&
(![X]:((~patient(X)&calm(X))=>calm(X... | humble(mary) | [
"p10",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4144649934754177588677581
% SZS output start Proof for 4144649934754177588677581
11. (humble(mary) & creative(mary)) <=> ? [X0] : (quiet(X0) | curious(X0)) [input p10]
14. ! [X0] : ((~quiet(X0) | ~tall(X0)) <=> happy(X0)) [input p13]
24. ? [X0] : ~happy(X0) [input p23]
25. ~humble(mary) [... | 0 |
Everyone who is strong is either not kind or not generous. Everyone who is not creative or patient is funny or tall. If fred is either not strong or patient then someone is either not quiet or not creative and vice versa. If alice is wise then alice is curious and vice versa. Everyone who is not strong or generous is n... | Lucy is funny. | neutral | (![X]:(strong(X)=>(~kind(X)<~>~generous(X))))&
(![X]:((~creative(X)|patient(X))=>(funny(X)|tall(X))))&
(((~strong(fred)<~>patient(fred)))<=>(?[X]:((~quiet(X)<~>~creative(X)))))&
((wise(alice))<=>(curious(alice)))&
(![X]:((~strong(X)|generous(X))<=>~patient(X)))&
((?[X]:((~rich(X)|curious(X))))<=>(?[X]:((creative(X)|qui... | funny(lucy) | [] | null | 0 |
Everyone who is either strong or not calm is not curious or not funny and vice versa.
If fred is either patient or not humble then someone is not happy or humble and vice versa.
Everyone who is both not happy and kind is both not curious and not wise and vice versa.
Everyone who is not strong or not kind is calm.
Every... | Lucy is funny. | contradiction | (![X]:((strong(X)<~>~calm(X))<=>(~curious(X)|~funny(X))))&
(((patient(fred)<~>~humble(fred)))<=>(?[X]:((~happy(X)|humble(X)))))&
(![X]:((~happy(X)&kind(X))<=>(~curious(X)&~wise(X))))&
(![X]:((~strong(X)|~kind(X))=>calm(X)))&
(![X]:((strong(X)|calm(X))<=>(humble(X)<~>tall(X))))&
(![X]:((wise(X)<~>strong(X))=>(creative(X... | funny(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p8",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8547687673146415202700210
% SZS output start Proof for 8547687673146415202700210
1. ! [X0] : ((strong(X0) <~> ~calm(X0)) <=> (~funny(X0) | ~curious(X0))) [input p0]
3. ! [X0] : ((kind(X0) & ~happy(X0)) <=> (~wise(X0) & ~curious(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | ~strong(X0)) => ca... | 0 |
If lucy is not happy or not generous then someone is either not rich or quiet and vice versa.
Everyone who is humble is either not rich or happy.
If someone is not rich then someone is rich or not creative.
Everyone who is not creative or rich is not quiet and vice versa.
Everyone who is tall is both not rich and patie... | Mary is not generous. | neutral | (((~happy(lucy)|~generous(lucy)))<=>(?[X]:((~rich(X)<~>quiet(X)))))&
(![X]:(humble(X)=>(~rich(X)<~>happy(X))))&
((?[X]:(~rich(X)))=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((~creative(X)|rich(X))<=>~quiet(X)))&
(![X]:(tall(X)<=>(~rich(X)&patient(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~creative(X)&strong(X)))))&
(((~curious... | ~generous(mary) | [] | null | 0 |
If someone is happy or not old then fred is not generous or quiet and vice versa. If someone is both rich and patient then someone is tall and vice versa. Everyone who is both brave and not strong is rich or patient and vice versa. Everyone who is either generous or quiet is both humble and curious and vice versa. If s... | Fred is not funny. | contradiction | ((?[X]:((happy(X)|~old(X))))<=>((~generous(fred)|quiet(fred))))&
((?[X]:((rich(X)&patient(X))))<=>(?[X]:(tall(X))))&
(![X]:((brave(X)&~strong(X))<=>(rich(X)|patient(X))))&
(![X]:((generous(X)<~>quiet(X))<=>(humble(X)&curious(X))))&
((?[X]:((~rich(X)|rich(X))))<=>(?[X]:((generous(X)|brave(X)))))&
(((~curious(alice)&~fun... | ~funny(fred) | [
"p2",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 574724145343673207386547
% SZS output start Proof for 574724145343673207386547
3. ! [X0] : ((~strong(X0) & brave(X0)) <=> (patient(X0) | rich(X0))) [input p2]
8. ! [X0] : ((~funny(X0) | ~patient(X0)) => (~brave(X0) & ~calm(X0))) [input p7]
17. rich(fred) [input p16]
24. ~funny(fred) [inpu... | 0 |
Everyone who is not tall is either patient or kind.
Everyone who is not calm or not funny is either not humble or brave.
Everyone who is not calm is not brave or patient.
Everyone who is quiet or wise is patient or not strong.
Everyone who is either not humble or quiet is not strong.
Everyone who is both humble and not... | Alice is old. | entailment | (![X]:(~tall(X)=>(patient(X)<~>kind(X))))&
(![X]:((~calm(X)|~funny(X))=>(~humble(X)<~>brave(X))))&
(![X]:(~calm(X)=>(~brave(X)|patient(X))))&
(![X]:((quiet(X)|wise(X))=>(patient(X)|~strong(X))))&
(![X]:((~humble(X)<~>quiet(X))=>~strong(X)))&
(![X]:((humble(X)&~calm(X))<=>~old(X)))&
(![X]:(~wise(X)<=>(wise(X)<~>curious(... | old(alice) | [
"p6",
"p9",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8895912324475858370350883
% SZS output start Proof for 8895912324475858370350883
7. ! [X0] : (~wise(X0) <=> (wise(X0) <~> curious(X0))) [input p6]
10. ! [X0] : (~strong(X0) <=> (tall(X0) | old(X0))) [input p9]
14. ! [X0] : ((kind(X0) | strong(X0)) <=> ~curious(X0)) [input p13]
15. tall(al... | 0 |
If someone is either rich or funny then paul is both not generous and rich.
Everyone who is strong is both not rich and not old and vice versa.
If alice is both quiet and not funny then someone is brave and vice versa.
Everyone who is either old or not calm is both patient and not patient and vice versa.
Everyone who i... | Fred is not rich. | contradiction | ((?[X]:((rich(X)<~>funny(X))))=>((~generous(paul)&rich(paul))))&
(![X]:(strong(X)<=>(~rich(X)&~old(X))))&
(((quiet(alice)&~funny(alice)))<=>(?[X]:(brave(X))))&
(![X]:((old(X)<~>~calm(X))<=>(patient(X)&~patient(X))))&
(![X]:(creative(X)=>(~quiet(X)|~wise(X))))&
(((old(lucy)&~strong(lucy)))<=>(?[X]:(~rich(X))))&
(((~rich... | ~rich(fred) | [
"p1",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 301388038344372393568386
% SZS output start Proof for 301388038344372393568386
2. ! [X0] : (strong(X0) <=> (~old(X0) & ~rich(X0))) [input p1]
10. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (calm(X0) & ~strong(X0))) [input p9]
15. ! [X0] : ((~generous(X0) <~> ~curious(X0)) <=> (~old(X0) & ~c... | 0 |
If john is either tall or not brave then alice is both not generous and calm and vice versa. If someone is not quiet then mary is either creative or humble and vice versa. If someone is both not quiet and not tall then john is either patient or not creative and vice versa. Everyone who is both not funny and patient is ... | Alice is humble. | contradiction | (((tall(john)<~>~brave(john)))<=>((~generous(alice)&calm(alice))))&
((?[X]:(~quiet(X)))<=>((creative(mary)<~>humble(mary))))&
((?[X]:((~quiet(X)&~tall(X))))<=>((patient(john)<~>~creative(john))))&
(![X]:((~funny(X)&patient(X))=>~happy(X)))&
(![X]:((~quiet(X)<~>patient(X))<=>(humble(X)|happy(X))))&
(((~tall(lucy)&~happy... | humble(alice) | [
"p8",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4638929233624946825793190
% SZS output start Proof for 4638929233624946825793190
9. ! [X0] : (patient(X0) <=> (calm(X0) | humble(X0))) [input p8]
14. ! [X0] : ((~generous(X0) | rich(X0)) => (~rich(X0) <~> ~patient(X0))) [input p13]
21. strong(alice) & rich(alice) [input p20]
24. humble(al... | 0 |
If john is not quiet then alice is not patient and vice versa.
If someone is patient then fred is both not patient and generous and vice versa.
If fred is both happy and not quiet then mary is not curious or not old.
Everyone who is both not kind and not generous is happy.
If someone is not funny then lucy is both rich... | Paul is old. | entailment | ((~quiet(john))<=>(~patient(alice)))&
((?[X]:(patient(X)))<=>((~patient(fred)&generous(fred))))&
(((happy(fred)&~quiet(fred)))=>((~curious(mary)|~old(mary))))&
(![X]:((~kind(X)&~generous(X))=>happy(X)))&
((?[X]:(~funny(X)))=>((rich(lucy)&~creative(lucy))))&
(((~creative(lucy)|rich(lucy)))<=>(~tall(alice)))&
((?[X]:((~k... | old(paul) | [
"p1",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7618005102220709200843241
% SZS output start Proof for 7618005102220709200843241
2. ? [X0] : patient(X0) <=> (generous(fred) & ~patient(fred)) [input p1]
13. ! [X0] : ((strong(X0) & humble(X0)) <=> (kind(X0) | patient(X0))) [input p12]
14. ? [X0] : (~kind(X0) <~> patient(X0)) => patient(f... | 0 |
If mary is rich then someone is quiet and vice versa. If john is not patient or not old then someone is not rich. Everyone who is curious is either not humble or not creative. If someone is old then someone is both rich and not funny. Everyone who is kind is both quiet and creative and vice versa. Everyone who is both ... | Mary is not wise. | contradiction | ((rich(mary))<=>(?[X]:(quiet(X))))&
(((~patient(john)|~old(john)))=>(?[X]:(~rich(X))))&
(![X]:(curious(X)=>(~humble(X)<~>~creative(X))))&
((?[X]:(old(X)))=>(?[X]:((rich(X)&~funny(X)))))&
(![X]:(kind(X)<=>(quiet(X)&creative(X))))&
(![X]:((~old(X)&wise(X))=>(calm(X)&kind(X))))&
(![X]:((~calm(X)|brave(X))=>(~calm(X)&~tall... | ~wise(mary) | [
"p2",
"p6",
"p7",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7028681351032597561435
% SZS output start Proof for 7028681351032597561435
3. ! [X0] : (curious(X0) => (~humble(X0) <~> ~creative(X0))) [input p2]
7. ! [X0] : ((brave(X0) | ~calm(X0)) => (~tall(X0) & ~calm(X0))) [input p6]
8. ! [X0] : (calm(X0) <=> ~funny(X0)) [input p7]
9. ! [X0] : ((qui... | 0 |
Everyone who is both quiet and not happy is rich or not kind and vice versa. If fred is either not curious or rich then someone is both not old and not funny and vice versa. Everyone who is both happy and not tall is both brave and not wise. Everyone who is not old is creative or not funny and vice versa. If someone is... | Fred is quiet. | entailment | (![X]:((quiet(X)&~happy(X))<=>(rich(X)|~kind(X))))&
(((~curious(fred)<~>rich(fred)))<=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((happy(X)&~tall(X))=>(brave(X)&~wise(X))))&
(![X]:(~old(X)<=>(creative(X)|~funny(X))))&
((?[X]:(~quiet(X)))=>((~strong(john)<~>~old(john))))&
(![X]:((~quiet(X)<~>~funny(X))=>~strong(X)))&
(![X]:(... | quiet(fred) | [
"p3",
"p4",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5782801566620598530998736
% SZS output start Proof for 5782801566620598530998736
4. ! [X0] : (~old(X0) <=> (~funny(X0) | creative(X0))) [input p3]
5. ? [X0] : ~quiet(X0) => (~strong(john) <~> ~old(john)) [input p4]
7. ! [X0] : ((strong(X0) | funny(X0)) <=> patient(X0)) [input p6]
11. ! [X... | 0 |
If someone is both kind and generous then someone is both not wise and tall. Everyone who is not funny or wise is both not generous and generous and vice versa. If someone is calm then someone is curious. If someone is both not brave and funny then mary is rich and vice versa. Everyone who is funny or not funny is not ... | Susan is not wise. | entailment | ((?[X]:((kind(X)&generous(X))))=>(?[X]:((~wise(X)&tall(X)))))&
(![X]:((~funny(X)|wise(X))<=>(~generous(X)&generous(X))))&
((?[X]:(calm(X)))=>(?[X]:(curious(X))))&
((?[X]:((~brave(X)&funny(X))))<=>(rich(mary)))&
(![X]:((funny(X)|~funny(X))=>(~wise(X)|patient(X))))&
(((~tall(susan)&~patient(susan)))=>((quiet(john)|~rich(... | ~wise(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 374881459010096893588441
% SZS output start Proof for 374881459010096893588441
2. ! [X0] : ((wise(X0) | ~funny(X0)) <=> (generous(X0) & ~generous(X0))) [input p1]
24. wise(susan) [input hypothesis]
47. ! [X0] : (((wise(X0) | ~funny(X0)) | (~generous(X0) | generous(X0))) & ((generous(X0) &... | 0 |
Everyone who is either not creative or wise is not quiet and vice versa.
Everyone who is generous is both not happy and not generous and vice versa.
Everyone who is not kind or quiet is creative and vice versa.
If someone is either tall or kind then someone is not brave and vice versa.
Everyone who is tall is not curio... | Susan is old. | contradiction | (![X]:((~creative(X)<~>wise(X))<=>~quiet(X)))&
(![X]:(generous(X)<=>(~happy(X)&~generous(X))))&
(![X]:((~kind(X)|quiet(X))<=>creative(X)))&
((?[X]:((tall(X)<~>kind(X))))<=>(?[X]:(~brave(X))))&
(![X]:(tall(X)=>(~curious(X)|rich(X))))&
((?[X]:((~humble(X)&kind(X))))=>((~strong(mary)|old(mary))))&
(((~brave(john)|curious(... | old(susan) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 16435932314211680287144
% SZS output start Proof for 16435932314211680287144
2. ! [X0] : (generous(X0) <=> (~generous(X0) & ~happy(X0))) [input p1]
12. ? [X0] : (~humble(X0) & generous(X0)) <=> ? [X0] : (~brave(X0) | old(X0)) [input p11]
23. old(susan) [input hypothesis]
25. ? [X0] : (~hu... | 0 |
If mary is both happy and not kind then someone is both old and curious and vice versa.
Everyone who is not strong or not generous is creative.
Everyone who is both quiet and not rich is either patient or calm and vice versa.
If paul is strong or not generous then someone is both kind and tall and vice versa.
Everyone ... | Alice is humble. | neutral | (((happy(mary)&~kind(mary)))<=>(?[X]:((old(X)&curious(X)))))&
(![X]:((~strong(X)|~generous(X))=>creative(X)))&
(![X]:((quiet(X)&~rich(X))<=>(patient(X)<~>calm(X))))&
(((strong(paul)|~generous(paul)))<=>(?[X]:((kind(X)&tall(X)))))&
(![X]:(~humble(X)<=>(~calm(X)&~kind(X))))&
(![X]:((~quiet(X)<~>~happy(X))=>(creative(X)<~... | humble(alice) | [] | null | 0 |
Everyone who is not tall or not humble is generous or not curious.
If lucy is not curious then alice is quiet or not rich and vice versa.
Everyone who is not old or calm is humble.
Everyone who is not brave or rich is not humble and vice versa.
Everyone who is either old or creative is both not tall and not generous.
I... | Susan is not creative. | entailment | (![X]:((~tall(X)|~humble(X))=>(generous(X)|~curious(X))))&
((~curious(lucy))<=>((quiet(alice)|~rich(alice))))&
(![X]:((~old(X)|calm(X))=>humble(X)))&
(![X]:((~brave(X)|rich(X))<=>~humble(X)))&
(![X]:((old(X)<~>creative(X))=>(~tall(X)&~generous(X))))&
(((~wise(mary)|creative(mary)))<=>(?[X]:((~creative(X)|patient(X)))))... | ~creative(susan) | [
"p2",
"p3",
"p4",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2084691023153480921929
% SZS output start Proof for 2084691023153480921929
3. ! [X0] : ((calm(X0) | ~old(X0)) => humble(X0)) [input p2]
4. ! [X0] : ((rich(X0) | ~brave(X0)) <=> ~humble(X0)) [input p3]
5. ! [X0] : ((old(X0) <~> creative(X0)) => (~generous(X0) & ~tall(X0))) [input p4]
8. ! ... | 0 |
Everyone who is wise or strong is either not kind or happy and vice versa. If susan is curious or tall then someone is creative or strong and vice versa. If john is both not calm and not strong then susan is not curious. Everyone who is both rich and creative is not wise. Everyone who is not generous or not kind is eit... | Susan is tall. | entailment | (![X]:((wise(X)|strong(X))<=>(~kind(X)<~>happy(X))))&
(((curious(susan)|tall(susan)))<=>(?[X]:((creative(X)|strong(X)))))&
(((~calm(john)&~strong(john)))=>(~curious(susan)))&
(![X]:((rich(X)&creative(X))=>~wise(X)))&
(![X]:((~generous(X)|~kind(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((tall(X)|~strong(X))=>(~kind(X)|~stro... | tall(susan) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p10",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7695562945637819583730682
% SZS output start Proof for 7695562945637819583730682
1. ! [X0] : ((strong(X0) | wise(X0)) <=> (~kind(X0) <~> happy(X0))) [input p0]
4. ! [X0] : ((creative(X0) & rich(X0)) => ~wise(X0)) [input p3]
5. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> (wise(X0) <~> ~stron... | 0 |
If someone is not rich or not curious then someone is both curious and kind. Everyone who is quiet or not happy is rich and vice versa. If john is both not funny and not creative then someone is not curious or generous. If someone is quiet or not rich then someone is both not curious and not patient and vice versa. Eve... | Paul is not old. | contradiction | ((?[X]:((~rich(X)|~curious(X))))=>(?[X]:((curious(X)&kind(X)))))&
(![X]:((quiet(X)|~happy(X))<=>rich(X)))&
(((~funny(john)&~creative(john)))=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((quiet(X)|~rich(X))))<=>(?[X]:((~curious(X)&~patient(X)))))&
(![X]:((~patient(X)<~>~old(X))<=>(wise(X)|~happy(X))))&
(![X]:((calm(X)|... | ~old(paul) | [
"p5",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 903117177451583844332837
% SZS output start Proof for 903117177451583844332837
6. ! [X0] : ((quiet(X0) | calm(X0)) => (happy(X0) & ~kind(X0))) [input p5]
7. ? [X0] : (humble(X0) & funny(X0)) <=> ~funny(paul) [input p6]
8. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> kind(X0)) [input p7]
11. ! ... | 0 |
If someone is not tall or not humble then someone is either not tall or not calm and vice versa.
If mary is both not old and not patient then alice is both not brave and funny and vice versa.
If john is not creative or not patient then lucy is either not wise or humble and vice versa.
Everyone who is not rich is not br... | Mary is not quiet. | contradiction | ((?[X]:((~tall(X)|~humble(X))))<=>(?[X]:((~tall(X)<~>~calm(X)))))&
(((~old(mary)&~patient(mary)))<=>((~brave(alice)&funny(alice))))&
(((~creative(john)|~patient(john)))<=>((~wise(lucy)<~>humble(lucy))))&
(![X]:(~rich(X)<=>~brave(X)))&
(![X]:(rich(X)<=>(strong(X)&old(X))))&
(![X]:((brave(X)|calm(X))<=>(wise(X)|~humble(X... | ~quiet(mary) | [
"p3",
"p4",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4472852837685255943485312
% SZS output start Proof for 4472852837685255943485312
4. ! [X0] : (~rich(X0) <=> ~brave(X0)) [input p3]
5. ! [X0] : (rich(X0) <=> (old(X0) & strong(X0))) [input p4]
8. ! [X0] : ((~brave(X0) | happy(X0)) => (funny(X0) & ~funny(X0))) [input p7]
12. ! [X0] : ((~qui... | 0 |
Everyone who is either not humble or not calm is kind. Everyone who is brave is either patient or calm. Everyone who is old or tall is generous or not quiet. If someone is old then fred is either not patient or kind. If fred is either not curious or generous then fred is curious or not happy. Everyone who is not brave ... | Alice is strong. | neutral | (![X]:((~humble(X)<~>~calm(X))=>kind(X)))&
(![X]:(brave(X)=>(patient(X)<~>calm(X))))&
(![X]:((old(X)|tall(X))=>(generous(X)|~quiet(X))))&
((?[X]:(old(X)))=>((~patient(fred)<~>kind(fred))))&
(((~curious(fred)<~>generous(fred)))=>((curious(fred)|~happy(fred))))&
(![X]:(~brave(X)<=>(~humble(X)<~>~patient(X))))&
((curious(... | strong(alice) | [] | null | 0 |
If susan is both quiet and not strong then someone is both happy and not humble and vice versa.
Everyone who is brave or not quiet is not funny and vice versa.
Everyone who is strong or curious is either not humble or brave and vice versa.
Everyone who is not happy is both not tall and wise.
If paul is not old or not f... | Susan is strong. | contradiction | (((quiet(susan)&~strong(susan)))<=>(?[X]:((happy(X)&~humble(X)))))&
(![X]:((brave(X)|~quiet(X))<=>~funny(X)))&
(![X]:((strong(X)|curious(X))<=>(~humble(X)<~>brave(X))))&
(![X]:(~happy(X)=>(~tall(X)&wise(X))))&
(((~old(paul)|~funny(paul)))<=>(quiet(alice)))&
(![X]:((funny(X)&strong(X))=>(funny(X)<~>~tall(X))))&
(((old(a... | strong(susan) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8547423576058314279122375
% SZS output start Proof for 8547423576058314279122375
1. (~strong(susan) & quiet(susan)) <=> ? [X0] : (~humble(X0) & happy(X0)) [input p0]
2. ! [X0] : ((~quiet(X0) | brave(X0)) <=> ~funny(X0)) [input p1]
3. ! [X0] : ((curious(X0) | strong(X0)) <=> (~humble(X0) <... | 0 |
If someone is both creative and not tall then paul is both not calm and calm and vice versa.
If someone is both humble and not wise then someone is not patient and vice versa.
Everyone who is not generous or not rich is both brave and not kind.
Everyone who is both rich and not wise is kind or not happy.
If alice is no... | Fred is not curious. | entailment | ((?[X]:((creative(X)&~tall(X))))<=>((~calm(paul)&calm(paul))))&
((?[X]:((humble(X)&~wise(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~generous(X)|~rich(X))=>(brave(X)&~kind(X))))&
(![X]:((rich(X)&~wise(X))=>(kind(X)|~happy(X))))&
((~curious(alice))=>(?[X]:((~humble(X)|~funny(X)))))&
((?[X]:((~funny(X)|~creative(X))))=>(?[X]... | ~curious(fred) | [
"p1",
"p2",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8541742352077939754256449
% SZS output start Proof for 8541742352077939754256449
2. ? [X0] : (~wise(X0) & humble(X0)) <=> ? [X0] : ~patient(X0) [input p1]
3. ! [X0] : ((~rich(X0) | ~generous(X0)) => (~kind(X0) & brave(X0))) [input p2]
10. ! [X0] : ((strong(X0) | humble(X0)) => (~humble(X0... | 0 |
Everyone who is both calm and not brave is humble or not curious and vice versa.
If someone is not brave or wise then mary is both not tall and creative.
Everyone who is wise or humble is not strong.
Everyone who is either strong or rich is both not rich and not curious and vice versa.
If mary is both not calm and crea... | Fred is rich. | neutral | (![X]:((calm(X)&~brave(X))<=>(humble(X)|~curious(X))))&
((?[X]:((~brave(X)|wise(X))))=>((~tall(mary)&creative(mary))))&
(![X]:((wise(X)|humble(X))=>~strong(X)))&
(![X]:((strong(X)<~>rich(X))<=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mary)))<=>((brave(susan)|curious(susan))))&
(![X]:((~tall(X)<~>generous(X))=>... | rich(fred) | [] | null | 0 |
If susan is either not wise or wise then lucy is kind. Everyone who is both kind and not humble is not wise. Everyone who is both humble and not humble is not curious or not funny and vice versa. Everyone who is either not quiet or not strong is not rich. Everyone who is patient or humble is both tall and not happy and... | Mary is not humble. | entailment | (((~wise(susan)<~>wise(susan)))=>(kind(lucy)))&
(![X]:((kind(X)&~humble(X))=>~wise(X)))&
(![X]:((humble(X)&~humble(X))<=>(~curious(X)|~funny(X))))&
(![X]:((~quiet(X)<~>~strong(X))=>~rich(X)))&
(![X]:((patient(X)|humble(X))<=>(tall(X)&~happy(X))))&
(((~wise(susan)<~>~rich(susan)))=>((~funny(susan)&patient(susan))))&
((~... | ~humble(mary) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 87843162581602231262678
% SZS output start Proof for 87843162581602231262678
5. ! [X0] : ((humble(X0) | patient(X0)) <=> (~happy(X0) & tall(X0))) [input p4]
19. rich(mary) & happy(mary) [input p18]
24. humble(mary) [input hypothesis]
40. ! [X0] : (((humble(X0) | patient(X0)) | (happy(X0) ... | 0 |
If lucy is both not brave and not curious then someone is happy or calm.
Everyone who is either creative or not curious is not creative or happy.
Everyone who is either humble or not quiet is not patient or not curious and vice versa.
Everyone who is both not happy and wise is both strong and rich and vice versa.
Every... | Alice is not happy. | neutral | (((~brave(lucy)&~curious(lucy)))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((creative(X)<~>~curious(X))=>(~creative(X)|happy(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>(~patient(X)|~curious(X))))&
(![X]:((~happy(X)&wise(X))<=>(strong(X)&rich(X))))&
(![X]:(~old(X)<=>(kind(X)|~generous(X))))&
((?[X]:(old(X)))<=>((~brave(alice)&f... | ~happy(alice) | [] | null | 0 |
Everyone who is both brave and strong is both not old and not strong and vice versa. Everyone who is not curious or generous is both rich and not generous and vice versa. Everyone who is either not curious or not calm is either not kind or not funny. If someone is both creative and not calm then fred is old. Everyone w... | Lucy is strong. | entailment | (![X]:((brave(X)&strong(X))<=>(~old(X)&~strong(X))))&
(![X]:((~curious(X)|generous(X))<=>(rich(X)&~generous(X))))&
(![X]:((~curious(X)<~>~calm(X))=>(~kind(X)<~>~funny(X))))&
((?[X]:((creative(X)&~calm(X))))=>(old(fred)))&
(![X]:(generous(X)<=>(~kind(X)&rich(X))))&
(![X]:((~quiet(X)|~generous(X))=>(calm(X)&~old(X))))&
(... | strong(lucy) | [
"p0",
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1411885847218022164936193
% SZS output start Proof for 1411885847218022164936193
1. ! [X0] : ((strong(X0) & brave(X0)) <=> (~strong(X0) & ~old(X0))) [input p0]
2. ! [X0] : ((generous(X0) | ~curious(X0)) <=> (~generous(X0) & rich(X0))) [input p1]
6. ! [X0] : ((~generous(X0) | ~quiet(X0)) =... | 0 |
If susan is not quiet then lucy is both not generous and old and vice versa. Everyone who is tall is not tall or not wise and vice versa. If alice is both quiet and not kind then lucy is not tall or not wise and vice versa. Everyone who is not wise is both not curious and not old and vice versa. Everyone who is not old... | John is rich. | contradiction | ((~quiet(susan))<=>((~generous(lucy)&old(lucy))))&
(![X]:(tall(X)<=>(~tall(X)|~wise(X))))&
(((quiet(alice)&~kind(alice)))<=>((~tall(lucy)|~wise(lucy))))&
(![X]:(~wise(X)<=>(~curious(X)&~old(X))))&
(![X]:(~old(X)=>(~old(X)<~>strong(X))))&
(![X]:((~creative(X)|humble(X))=>(happy(X)|~tall(X))))&
(((happy(lucy)|~quiet(lucy... | rich(john) | [
"p1",
"p3",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3831004230829665573666893
% SZS output start Proof for 3831004230829665573666893
2. ! [X0] : (tall(X0) <=> (~wise(X0) | ~tall(X0))) [input p1]
4. ! [X0] : (~wise(X0) <=> (~old(X0) & ~curious(X0))) [input p3]
5. ! [X0] : (~old(X0) => (~old(X0) <~> strong(X0))) [input p4]
8. ! [X0] : (rich(... | 0 |
If someone is happy then someone is both not happy and not patient and vice versa.
Everyone who is not old or not patient is not strong.
If susan is either not kind or quiet then alice is both not wise and patient.
If someone is wise then susan is either wise or happy and vice versa.
Everyone who is not old or not crea... | John is not funny. | entailment | ((?[X]:(happy(X)))<=>(?[X]:((~happy(X)&~patient(X)))))&
(![X]:((~old(X)|~patient(X))=>~strong(X)))&
(((~kind(susan)<~>quiet(susan)))=>((~wise(alice)&patient(alice))))&
((?[X]:(wise(X)))<=>((wise(susan)<~>happy(susan))))&
(![X]:((~old(X)|~creative(X))=>(~happy(X)|~brave(X))))&
((?[X]:(creative(X)))<=>((~generous(lucy)|~... | ~funny(john) | [
"p0",
"p5",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 806896672236124424138539
% SZS output start Proof for 806896672236124424138539
1. ? [X0] : happy(X0) <=> ? [X0] : (~patient(X0) & ~happy(X0)) [input p0]
6. ? [X0] : creative(X0) <=> (~creative(lucy) | ~generous(lucy)) [input p5]
11. ? [X0] : (~happy(X0) <~> patient(X0)) <=> (generous(john... | 0 |
Everyone who is not strong is quiet.
Everyone who is not tall or not funny is humble.
Everyone who is not generous or tall is brave.
Everyone who is not humble or not old is either calm or tall.
Everyone who is either not strong or not tall is funny or not rich and vice versa.
Everyone who is either generous or patient... | Mary is not brave. | contradiction | (![X]:(~strong(X)=>quiet(X)))&
(![X]:((~tall(X)|~funny(X))=>humble(X)))&
(![X]:((~generous(X)|tall(X))=>brave(X)))&
(![X]:((~humble(X)|~old(X))=>(calm(X)<~>tall(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>(funny(X)|~rich(X))))&
(![X]:((generous(X)<~>patient(X))<=>patient(X)))&
(![X]:((tall(X)<~>~generous(X))=>(old(X)&wise(... | ~brave(mary) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7267964630473251951873430
% SZS output start Proof for 7267964630473251951873430
3. ! [X0] : ((tall(X0) | ~generous(X0)) => brave(X0)) [input p2]
6. ! [X0] : ((generous(X0) <~> patient(X0)) <=> patient(X0)) [input p5]
23. ~brave(mary) [input hypothesis]
30. ! [X0] : (brave(X0) | (~tall(X0... | 0 |
If someone is both creative and not creative then someone is either brave or tall and vice versa.
Everyone who is either not humble or humble is both brave and not old.
Everyone who is wise is not creative.
If someone is not funny then someone is not tall and vice versa.
Everyone who is curious is both kind and patient... | Fred is calm. | contradiction | ((?[X]:((creative(X)&~creative(X))))<=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((~humble(X)<~>humble(X))=>(brave(X)&~old(X))))&
(![X]:(wise(X)=>~creative(X)))&
((?[X]:(~funny(X)))<=>(?[X]:(~tall(X))))&
(![X]:(curious(X)<=>(kind(X)&patient(X))))&
(![X]:(~kind(X)<=>rich(X)))&
((?[X]:((~rich(X)&~creative(X))))<=>(?[X]:((~cu... | calm(fred) | [
"p0",
"p1",
"p4",
"p5",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9126713106301138382215279
% SZS output start Proof for 9126713106301138382215279
1. ? [X0] : (~creative(X0) & creative(X0)) <=> ? [X0] : (brave(X0) <~> tall(X0)) [input p0]
2. ! [X0] : ((~humble(X0) <~> humble(X0)) => (~old(X0) & brave(X0))) [input p1]
5. ! [X0] : (curious(X0) <=> (patien... | 0 |
Everyone who is both not humble and kind is both curious and not tall and vice versa.
Everyone who is both happy and not humble is both rich and kind.
Everyone who is either creative or calm is both not wise and not funny and vice versa.
If susan is either calm or funny then someone is generous.
If susan is not calm th... | Susan is happy. | neutral | (![X]:((~humble(X)&kind(X))<=>(curious(X)&~tall(X))))&
(![X]:((happy(X)&~humble(X))=>(rich(X)&kind(X))))&
(![X]:((creative(X)<~>calm(X))<=>(~wise(X)&~funny(X))))&
(((calm(susan)<~>funny(susan)))=>(?[X]:(generous(X))))&
((~calm(susan))<=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~kind(X)|curious(X))<=>(creative(X)<~... | happy(susan) | [] | null | 0 |
Everyone who is both not kind and funny is happy or not creative and vice versa.
Everyone who is both funny and creative is both not tall and generous.
If someone is creative or kind then fred is not calm.
Everyone who is both not old and not happy is strong or curious and vice versa.
If john is either humble or not fu... | John is not quiet. | entailment | (![X]:((~kind(X)&funny(X))<=>(happy(X)|~creative(X))))&
(![X]:((funny(X)&creative(X))=>(~tall(X)&generous(X))))&
((?[X]:((creative(X)|kind(X))))=>(~calm(fred)))&
(![X]:((~old(X)&~happy(X))<=>(strong(X)|curious(X))))&
(((humble(john)<~>~funny(john)))=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:((~calm(X)|~happy(X))<=>(~brav... | ~quiet(john) | [
"p2",
"p7",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7261412963092850136855762
% SZS output start Proof for 7261412963092850136855762
3. ? [X0] : (kind(X0) | creative(X0)) => ~calm(fred) [input p2]
8. (brave(john) & old(john)) <=> ~calm(fred) [input p7]
13. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p12]
22. c... | 0 |
If someone is both happy and not humble then someone is either not strong or not quiet and vice versa.
If someone is not generous then alice is both not patient and old.
Everyone who is calm or not happy is patient.
Everyone who is wise or not tall is both wise and not happy and vice versa.
Everyone who is wise is both... | John is not strong. | entailment | ((?[X]:((happy(X)&~humble(X))))<=>(?[X]:((~strong(X)<~>~quiet(X)))))&
((?[X]:(~generous(X)))=>((~patient(alice)&old(alice))))&
(![X]:((calm(X)|~happy(X))=>patient(X)))&
(![X]:((wise(X)|~tall(X))<=>(wise(X)&~happy(X))))&
(![X]:(wise(X)=>(happy(X)&generous(X))))&
(![X]:((quiet(X)<~>~generous(X))=>(patient(X)|curious(X)))... | ~strong(john) | [
"p0",
"p3",
"p4",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7120147589269965764276668
% SZS output start Proof for 7120147589269965764276668
1. ? [X0] : (~humble(X0) & happy(X0)) <=> ? [X0] : (~strong(X0) <~> ~quiet(X0)) [input p0]
4. ! [X0] : ((~tall(X0) | wise(X0)) <=> (~happy(X0) & wise(X0))) [input p3]
5. ! [X0] : (wise(X0) => (generous(X0) & ... | 0 |
Everyone who is either brave or not creative is tall or not wise and vice versa.
Everyone who is not happy is either patient or kind and vice versa.
If someone is wise then paul is both not patient and wise and vice versa.
If alice is both not kind and not funny then someone is not creative or funny and vice versa.
Eve... | Paul is not funny. | neutral | (![X]:((brave(X)<~>~creative(X))<=>(tall(X)|~wise(X))))&
(![X]:(~happy(X)<=>(patient(X)<~>kind(X))))&
((?[X]:(wise(X)))<=>((~patient(paul)&wise(paul))))&
(((~kind(alice)&~funny(alice)))<=>(?[X]:((~creative(X)|funny(X)))))&
(![X]:((~kind(X)&tall(X))<=>(generous(X)&~tall(X))))&
(![X]:((~generous(X)&rich(X))=>(strong(X)<~... | ~funny(paul) | [] | null | 0 |
If alice is either not funny or not happy then someone is not rich and vice versa. If someone is both strong and kind then paul is wise. If fred is both not calm and strong then someone is either not curious or not calm and vice versa. If someone is both not humble and not strong then fred is strong. Everyone who is bo... | Lucy is tall. | entailment | (((~funny(alice)<~>~happy(alice)))<=>(?[X]:(~rich(X))))&
((?[X]:((strong(X)&kind(X))))=>(wise(paul)))&
(((~calm(fred)&strong(fred)))<=>(?[X]:((~curious(X)<~>~calm(X)))))&
((?[X]:((~humble(X)&~strong(X))))=>(strong(fred)))&
(![X]:((humble(X)&brave(X))<=>(~old(X)|~generous(X))))&
((?[X]:((generous(X)|~old(X))))=>(?[X]:((... | tall(lucy) | [
"p4",
"p6",
"p9",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7559378018038776787188554
% SZS output start Proof for 7559378018038776787188554
5. ! [X0] : ((brave(X0) & humble(X0)) <=> (~generous(X0) | ~old(X0))) [input p4]
7. ! [X0] : ((~calm(X0) | ~rich(X0)) <=> (curious(X0) | strong(X0))) [input p6]
10. ! [X0] : ((tall(X0) <~> rich(X0)) <=> calm(... | 0 |
Everyone who is not kind or not happy is not brave or not funny and vice versa. Everyone who is creative is both tall and not generous. If john is brave then lucy is humble. If someone is funny then john is either not rich or happy. Everyone who is strong or old is old or creative. Everyone who is not quiet or happy is... | Alice is calm. | neutral | (![X]:((~kind(X)|~happy(X))<=>(~brave(X)|~funny(X))))&
(![X]:(creative(X)=>(tall(X)&~generous(X))))&
((brave(john))=>(humble(lucy)))&
((?[X]:(funny(X)))=>((~rich(john)<~>happy(john))))&
(![X]:((strong(X)|old(X))=>(old(X)|creative(X))))&
(![X]:((~quiet(X)|happy(X))=>(~happy(X)&generous(X))))&
(![X]:(old(X)<=>(generous(X... | calm(alice) | [] | null | 0 |
If susan is both not wise and not tall then someone is either not wise or humble. Everyone who is not calm or tall is either curious or humble and vice versa. If susan is not generous or generous then mary is both not old and not kind and vice versa. If mary is curious then paul is either not curious or not patient. If... | Mary is strong. | contradiction | (((~wise(susan)&~tall(susan)))=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:((~calm(X)|tall(X))<=>(curious(X)<~>humble(X))))&
(((~generous(susan)|generous(susan)))<=>((~old(mary)&~kind(mary))))&
((curious(mary))=>((~curious(paul)<~>~patient(paul))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(~brave(mary)))&
(![X]:((happy(X)<... | strong(mary) | [
"p2",
"p4",
"p7",
"p8",
"p13",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 170715761056998086902614
% SZS output start Proof for 170715761056998086902614
3. (generous(susan) | ~generous(susan)) <=> (~kind(mary) & ~old(mary)) [input p2]
5. ? [X0] : (~funny(X0) <~> ~generous(X0)) <=> ~brave(mary) [input p4]
8. ? [X0] : ~quiet(X0) <=> rich(mary) [input p7]
9. ! [X0... | 0 |
Everyone who is both tall and rich is not old and vice versa.
If someone is generous or tall then lucy is either old or not strong.
If someone is either tall or funny then someone is either quiet or creative and vice versa.
Everyone who is either not humble or old is either not tall or not strong and vice versa.
If fre... | Paul is rich. | entailment | (![X]:((tall(X)&rich(X))<=>~old(X)))&
((?[X]:((generous(X)|tall(X))))=>((old(lucy)<~>~strong(lucy))))&
((?[X]:((tall(X)<~>funny(X))))<=>(?[X]:((quiet(X)<~>creative(X)))))&
(![X]:((~humble(X)<~>old(X))<=>(~tall(X)<~>~strong(X))))&
(((~wise(fred)|old(fred)))<=>(?[X]:(~brave(X))))&
(![X]:((wise(X)|~funny(X))<=>(generous(X... | rich(paul) | [
"p0",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2039177920642724286129003
% SZS output start Proof for 2039177920642724286129003
1. ! [X0] : ((rich(X0) & tall(X0)) <=> ~old(X0)) [input p0]
15. ! [X0] : (rich(X0) <=> (~tall(X0) <~> ~old(X0))) [input p14]
16. ! [X0] : (~old(X0) <=> (curious(X0) | funny(X0))) [input p15]
17. ~tall(paul) |... | 0 |
Everyone who is brave or calm is either not calm or quiet and vice versa.
If alice is both not brave and old then john is kind.
If john is either happy or not happy then someone is both quiet and not creative.
Everyone who is both funny and creative is both wise and not calm.
If someone is rich then lucy is either humb... | John is calm. | contradiction | (![X]:((brave(X)|calm(X))<=>(~calm(X)<~>quiet(X))))&
(((~brave(alice)&old(alice)))=>(kind(john)))&
(((happy(john)<~>~happy(john)))=>(?[X]:((quiet(X)&~creative(X)))))&
(![X]:((funny(X)&creative(X))=>(wise(X)&~calm(X))))&
((?[X]:(rich(X)))=>((humble(lucy)<~>happy(lucy))))&
(![X]:((generous(X)&~tall(X))=>(~wise(X)|~strong... | calm(john) | [
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1996950530337407454636139
% SZS output start Proof for 1996950530337407454636139
12. (~happy(john) & ~calm(john)) <=> ? [X0] : (~generous(X0) | curious(X0)) [input p11]
19. ? [X0] : (curious(X0) & brave(X0)) [input p18]
25. calm(john) [input hypothesis]
59. ((~happy(john) & ~calm(john)) |... | 0 |
Everyone who is not strong is creative and vice versa.
If someone is both wise and not patient then someone is not quiet or not brave and vice versa.
If john is tall or not funny then alice is wise or not creative and vice versa.
If someone is both funny and wise then alice is either not patient or not wise.
Everyone w... | Mary is calm. | contradiction | (![X]:(~strong(X)<=>creative(X)))&
((?[X]:((wise(X)&~patient(X))))<=>(?[X]:((~quiet(X)|~brave(X)))))&
(((tall(john)|~funny(john)))<=>((wise(alice)|~creative(alice))))&
((?[X]:((funny(X)&wise(X))))=>((~patient(alice)<~>~wise(alice))))&
(![X]:((~brave(X)|~old(X))<=>~calm(X)))&
(![X]:((~tall(X)<~>curious(X))<=>(strong(X)&... | calm(mary) | [
"p0",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8555815298180995207843309
% SZS output start Proof for 8555815298180995207843309
1. ! [X0] : (~strong(X0) <=> creative(X0)) [input p0]
11. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> (~creative(X0) & calm(X0))) [input p10]
15. ! [X0] : ((~humble(X0) | ~tall(X0)) <=> (generous(X0) & strong(X... | 0 |
If someone is both not curious and not happy then someone is not funny and vice versa.
Everyone who is brave or not humble is either not tall or not rich and vice versa.
If someone is not funny or old then john is both patient and not old.
Everyone who is not happy or brave is not generous.
If someone is creative or st... | Paul is brave. | entailment | ((?[X]:((~curious(X)&~happy(X))))<=>(?[X]:(~funny(X))))&
(![X]:((brave(X)|~humble(X))<=>(~tall(X)<~>~rich(X))))&
((?[X]:((~funny(X)|old(X))))=>((patient(john)&~old(john))))&
(![X]:((~happy(X)|brave(X))=>~generous(X)))&
((?[X]:((creative(X)|strong(X))))=>((~wise(susan)<~>~generous(susan))))&
(![X]:(tall(X)<=>creative(X)... | brave(paul) | [
"p8",
"p9",
"p11",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2909000991425773074234184
% SZS output start Proof for 2909000991425773074234184
9. ! [X0] : ((~rich(X0) | funny(X0)) => (~happy(X0) & rich(X0))) [input p8]
10. ! [X0] : (wise(X0) <=> (~rich(X0) & ~generous(X0))) [input p9]
12. ! [X0] : ((funny(X0) <~> ~patient(X0)) <=> ~brave(X0)) [input... | 0 |
Everyone who is generous is both quiet and not humble and vice versa.
Everyone who is both humble and patient is not patient.
Everyone who is kind is curious or not generous and vice versa.
Everyone who is not patient or not strong is either not curious or not humble.
Everyone who is old is curious and vice versa.
If s... | Susan is humble. | contradiction | (![X]:(generous(X)<=>(quiet(X)&~humble(X))))&
(![X]:((humble(X)&patient(X))=>~patient(X)))&
(![X]:(kind(X)<=>(curious(X)|~generous(X))))&
(![X]:((~patient(X)|~strong(X))=>(~curious(X)<~>~humble(X))))&
(![X]:(old(X)<=>curious(X)))&
(((curious(susan)|tall(susan)))<=>(?[X]:((~humble(X)<~>~generous(X)))))&
((?[X]:((wise(X)... | humble(susan) | [
"p0",
"p1",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8874785928049701040351731
% SZS output start Proof for 8874785928049701040351731
1. ! [X0] : (generous(X0) <=> (~humble(X0) & quiet(X0))) [input p0]
2. ! [X0] : ((patient(X0) & humble(X0)) => ~patient(X0)) [input p1]
4. ! [X0] : ((~strong(X0) | ~patient(X0)) => (~curious(X0) <~> ~humble(X... | 0 |
If someone is not rich or not creative then someone is quiet or not rich. Everyone who is both not strong and creative is both not funny and not happy. If someone is not quiet or creative then john is patient and vice versa. Everyone who is not rich is wise. Everyone who is either not funny or not strong is not wise. E... | Lucy is calm. | neutral | ((?[X]:((~rich(X)|~creative(X))))=>(?[X]:((quiet(X)|~rich(X)))))&
(![X]:((~strong(X)&creative(X))=>(~funny(X)&~happy(X))))&
((?[X]:((~quiet(X)|creative(X))))<=>(patient(john)))&
(![X]:(~rich(X)=>wise(X)))&
(![X]:((~funny(X)<~>~strong(X))=>~wise(X)))&
(![X]:(~quiet(X)=>(~wise(X)<~>patient(X))))&
(![X]:(~rich(X)<=>funny(... | calm(lucy) | [] | null | 0 |
Everyone who is old or wise is not tall or happy. Everyone who is generous or not patient is both not brave and old. Everyone who is either not funny or not brave is not brave or wise and vice versa. Everyone who is funny is rich or not tall and vice versa. Everyone who is wise is not strong and vice versa. Everyone wh... | Susan is not calm. | neutral | (![X]:((old(X)|wise(X))=>(~tall(X)|happy(X))))&
(![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(X))))&
(![X]:(funny(X)<=>(rich(X)|~tall(X))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((strong(X)<~>rich(X))<=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mary)))<... | ~calm(susan) | [] | null | 0 |
Everyone who is both not funny and not quiet is not curious and vice versa. Everyone who is both humble and brave is not strong or rich. Everyone who is either brave or tall is happy or not kind and vice versa. If someone is humble then alice is not kind or tall and vice versa. Everyone who is either not wise or tall i... | Paul is kind. | entailment | (![X]:((~funny(X)&~quiet(X))<=>~curious(X)))&
(![X]:((humble(X)&brave(X))=>(~strong(X)|rich(X))))&
(![X]:((brave(X)<~>tall(X))<=>(happy(X)|~kind(X))))&
((?[X]:(humble(X)))<=>((~kind(alice)|tall(alice))))&
(![X]:((~wise(X)<~>tall(X))=>(~humble(X)&~old(X))))&
(![X]:(~creative(X)=>(humble(X)&~strong(X))))&
(![X]:((~creati... | kind(paul) | [
"p2",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3006512660086862529998305
% SZS output start Proof for 3006512660086862529998305
3. ! [X0] : ((brave(X0) <~> tall(X0)) <=> (~kind(X0) | happy(X0))) [input p2]
7. ! [X0] : ((~tall(X0) | ~creative(X0)) => (generous(X0) & kind(X0))) [input p6]
14. ! [X0] : ((~brave(X0) | old(X0)) => ~tall(X0... | 0 |
Everyone who is both not humble and quiet is patient or quiet.
Everyone who is not creative or kind is patient and vice versa.
If fred is creative or not generous then john is not creative.
Everyone who is calm or curious is both not curious and not happy and vice versa.
If fred is either calm or not calm then someone ... | Lucy is generous. | neutral | (![X]:((~humble(X)&quiet(X))=>(patient(X)|quiet(X))))&
(![X]:((~creative(X)|kind(X))<=>patient(X)))&
(((creative(fred)|~generous(fred)))=>(~creative(john)))&
(![X]:((calm(X)|curious(X))<=>(~curious(X)&~happy(X))))&
(((calm(fred)<~>~calm(fred)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(rich(X)<=>~brave(X)))&
((?[X]:((~... | generous(lucy) | [] | null | 0 |
Everyone who is funny or calm is either not tall or not old.
Everyone who is curious or not wise is either calm or not quiet and vice versa.
If someone is humble then fred is both calm and rich.
Everyone who is rich or strong is either patient or quiet.
If someone is happy or calm then someone is both not wise and not ... | Fred is happy. | neutral | (![X]:((funny(X)|calm(X))=>(~tall(X)<~>~old(X))))&
(![X]:((curious(X)|~wise(X))<=>(calm(X)<~>~quiet(X))))&
((?[X]:(humble(X)))=>((calm(fred)&rich(fred))))&
(![X]:((rich(X)|strong(X))=>(patient(X)<~>quiet(X))))&
((?[X]:((happy(X)|calm(X))))=>(?[X]:((~wise(X)&~calm(X)))))&
(![X]:((~calm(X)|~happy(X))=>~kind(X)))&
((?[X]:... | happy(fred) | [] | null | 0 |
Everyone who is either strong or not creative is both kind and wise.
Everyone who is patient or not calm is not patient and vice versa.
Everyone who is not tall is both tall and not strong.
Everyone who is not funny is both old and patient.
Everyone who is either not calm or curious is either not strong or calm.
If pau... | Paul is not happy. | contradiction | (![X]:((strong(X)<~>~creative(X))=>(kind(X)&wise(X))))&
(![X]:((patient(X)|~calm(X))<=>~patient(X)))&
(![X]:(~tall(X)=>(tall(X)&~strong(X))))&
(![X]:(~funny(X)=>(old(X)&patient(X))))&
(![X]:((~calm(X)<~>curious(X))=>(~strong(X)<~>calm(X))))&
((happy(paul))<=>((~humble(john)|funny(john))))&
(![X]:((rich(X)|~humble(X))<=... | ~happy(paul) | [
"p1",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1110741998420156954609833
% SZS output start Proof for 1110741998420156954609833
2. ! [X0] : ((~calm(X0) | patient(X0)) <=> ~patient(X0)) [input p1]
4. ! [X0] : (~funny(X0) => (patient(X0) & old(X0))) [input p3]
6. happy(paul) <=> (funny(john) | ~humble(john)) [input p5]
25. ~happy(paul) ... | 0 |
Everyone who is both not humble and happy is not calm or not happy. If someone is both generous and not humble then alice is both not old and generous. If fred is either not creative or not rich then someone is curious and vice versa. Everyone who is either not patient or not funny is not happy or not wise and vice ver... | Alice is creative. | entailment | (![X]:((~humble(X)&happy(X))=>(~calm(X)|~happy(X))))&
((?[X]:((generous(X)&~humble(X))))=>((~old(alice)&generous(alice))))&
(((~creative(fred)<~>~rich(fred)))<=>(?[X]:(curious(X))))&
(![X]:((~patient(X)<~>~funny(X))<=>(~happy(X)|~wise(X))))&
(![X]:((creative(X)|tall(X))<=>(strong(X)&~patient(X))))&
(![X]:((happy(X)<~>~... | creative(alice) | [
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2122964155374186138425673
% SZS output start Proof for 2122964155374186138425673
16. ! [X0] : (tall(X0) <=> ~creative(X0)) [input p15]
23. ~tall(alice) [input p22]
24. ~creative(alice) [input hypothesis]
60. ! [X0] : ((tall(X0) | creative(X0)) & (~creative(X0) | ~tall(X0))) [nnf transform... | 0 |
Everyone who is both not happy and not brave is either humble or not brave. Everyone who is patient or calm is funny. Everyone who is either brave or not calm is either not kind or calm. Everyone who is not kind or not old is not funny and vice versa. Everyone who is patient is happy or creative. If someone is creative... | Lucy is not patient. | neutral | (![X]:((~happy(X)&~brave(X))=>(humble(X)<~>~brave(X))))&
(![X]:((patient(X)|calm(X))=>funny(X)))&
(![X]:((brave(X)<~>~calm(X))=>(~kind(X)<~>calm(X))))&
(![X]:((~kind(X)|~old(X))<=>~funny(X)))&
(![X]:(patient(X)=>(happy(X)|creative(X))))&
((?[X]:((creative(X)|~curious(X))))<=>((kind(john)<~>funny(john))))&
(((~tall(fred... | ~patient(lucy) | [] | null | 0 |
If someone is either not patient or not kind then alice is kind or brave.
Everyone who is rich is not rich.
If someone is funny then someone is funny or not generous.
Everyone who is either happy or kind is not funny and vice versa.
Everyone who is quiet is both generous and wise and vice versa.
If alice is both quiet ... | John is not creative. | neutral | ((?[X]:((~patient(X)<~>~kind(X))))=>((kind(alice)|brave(alice))))&
(![X]:(rich(X)=>~rich(X)))&
((?[X]:(funny(X)))=>(?[X]:((funny(X)|~generous(X)))))&
(![X]:((happy(X)<~>kind(X))<=>~funny(X)))&
(![X]:(quiet(X)<=>(generous(X)&wise(X))))&
(((quiet(alice)&creative(alice)))<=>(?[X]:(~tall(X))))&
(![X]:((~tall(X)|humble(X))=... | ~creative(john) | [] | null | 0 |
Everyone who is either not patient or brave is not strong and vice versa.
Everyone who is either calm or not creative is either old or curious.
Everyone who is either old or tall is not funny or patient and vice versa.
If john is both brave and not old then someone is not happy or calm.
Everyone who is either curious o... | Mary is tall. | contradiction | (![X]:((~patient(X)<~>brave(X))<=>~strong(X)))&
(![X]:((calm(X)<~>~creative(X))=>(old(X)<~>curious(X))))&
(![X]:((old(X)<~>tall(X))<=>(~funny(X)|patient(X))))&
(((brave(john)&~old(john)))=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:((curious(X)<~>~generous(X))=>(creative(X)&~humble(X))))&
(![X]:((~curious(X)&patient(X))<=>(c... | tall(mary) | [
"p4",
"p5",
"p6",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6024761783090573338989822
% SZS output start Proof for 6024761783090573338989822
5. ! [X0] : ((curious(X0) <~> ~generous(X0)) => (~humble(X0) & creative(X0))) [input p4]
6. ! [X0] : ((patient(X0) & ~curious(X0)) <=> (generous(X0) | calm(X0))) [input p5]
7. ! [X0] : ((~humble(X0) | ~old(X0... | 0 |
Everyone who is wise is both kind and tall. If someone is either strong or not brave then paul is both not happy and patient. Everyone who is both not old and generous is not kind or not creative and vice versa. If someone is calm or humble then paul is both funny and wise and vice versa. If someone is humble then john... | Fred is not old. | contradiction | (![X]:(wise(X)=>(kind(X)&tall(X))))&
((?[X]:((strong(X)<~>~brave(X))))=>((~happy(paul)&patient(paul))))&
(![X]:((~old(X)&generous(X))<=>(~kind(X)|~creative(X))))&
((?[X]:((calm(X)|humble(X))))<=>((funny(paul)&wise(paul))))&
((?[X]:(humble(X)))<=>((~wise(john)<~>~creative(john))))&
(![X]:(patient(X)<=>(~patient(X)|old(X... | ~old(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7289302293241944310866874
% SZS output start Proof for 7289302293241944310866874
6. ! [X0] : (patient(X0) <=> (old(X0) | ~patient(X0))) [input p5]
21. ~old(fred) [input hypothesis]
45. ! [X0] : ((patient(X0) | (~old(X0) & patient(X0))) & ((old(X0) | ~patient(X0)) | ~patient(X0))) [nnf tra... | 0 |
If lucy is not brave or strong then susan is both not generous and wise and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy an... | Susan is generous. | neutral | (((~brave(lucy)|strong(lucy)))<=>((~generous(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((cur... | generous(susan) | [] | null | 0 |
Everyone who is either humble or not creative is not happy or not rich.
Everyone who is not humble or creative is not strong.
Everyone who is not wise is both generous and strong.
If someone is either not quiet or wise then lucy is creative and vice versa.
Everyone who is strong is either curious or calm and vice versa... | Paul is not curious. | entailment | (![X]:((humble(X)<~>~creative(X))=>(~happy(X)|~rich(X))))&
(![X]:((~humble(X)|creative(X))=>~strong(X)))&
(![X]:(~wise(X)=>(generous(X)&strong(X))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(creative(lucy)))&
(![X]:(strong(X)<=>(curious(X)<~>calm(X))))&
(((quiet(lucy)&~kind(lucy)))=>((tall(susan)<~>~patient(susan))))&
((?[X]... | ~curious(paul) | [
"p1",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6149527410524481762941303
% SZS output start Proof for 6149527410524481762941303
2. ! [X0] : ((creative(X0) | ~humble(X0)) => ~strong(X0)) [input p1]
8. ! [X0] : ((curious(X0) <~> tall(X0)) => (~happy(X0) & tall(X0))) [input p7]
12. ! [X0] : ((tall(X0) & strong(X0)) <=> (~tall(X0) <~> cre... | 0 |
If john is rich then john is either not calm or generous. If fred is either not generous or brave then paul is humble or rich and vice versa. Everyone who is not creative or humble is strong and vice versa. If lucy is both wise and not rich then alice is either not funny or humble. If lucy is both strong and not creati... | Susan is tall. | entailment | ((rich(john))=>((~calm(john)<~>generous(john))))&
(((~generous(fred)<~>brave(fred)))<=>((humble(paul)|rich(paul))))&
(![X]:((~creative(X)|humble(X))<=>strong(X)))&
(((wise(lucy)&~rich(lucy)))=>((~funny(alice)<~>humble(alice))))&
(((strong(lucy)&~creative(lucy)))<=>((patient(susan)<~>~wise(susan))))&
(((~generous(alice)... | tall(susan) | [
"p6",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5623171762149170135686519
% SZS output start Proof for 5623171762149170135686519
7. ! [X0] : ((calm(X0) | ~tall(X0)) <=> (funny(X0) & strong(X0))) [input p6]
12. ! [X0] : (happy(X0) <=> generous(X0)) [input p11]
15. ! [X0] : ((happy(X0) <~> strong(X0)) => ~patient(X0)) [input p14]
17. ~ge... | 0 |
If john is either tall or quiet then alice is happy or not kind.
Everyone who is either not strong or patient is either not strong or not generous.
Everyone who is not old or old is either old or not old and vice versa.
Everyone who is both not calm and quiet is not quiet and vice versa.
If alice is brave or humble the... | Alice is humble. | entailment | (((tall(john)<~>quiet(john)))=>((happy(alice)|~kind(alice))))&
(![X]:((~strong(X)<~>patient(X))=>(~strong(X)<~>~generous(X))))&
(![X]:((~old(X)|old(X))<=>(old(X)<~>~old(X))))&
(![X]:((~calm(X)&quiet(X))<=>~quiet(X)))&
(((brave(alice)|humble(alice)))=>(?[X]:(~funny(X))))&
((?[X]:((~patient(X)&patient(X))))<=>((~calm(fre... | humble(alice) | [
"p3",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 924989868179545347700993
% SZS output start Proof for 924989868179545347700993
4. ! [X0] : ((quiet(X0) & ~calm(X0)) <=> ~quiet(X0)) [input p3]
8. ! [X0] : (quiet(X0) => (wise(X0) & curious(X0))) [input p7]
11. ! [X0] : ((generous(X0) | quiet(X0)) => (~wise(X0) | humble(X0))) [input p10]
2... | 0 |
Everyone who is both wise and not curious is either not humble or not creative and vice versa. Everyone who is not strong or not wise is curious or not funny and vice versa. If someone is either happy or creative then someone is rich or strong and vice versa. Everyone who is strong or patient is not humble. Everyone wh... | Susan is not tall. | entailment | (![X]:((wise(X)&~curious(X))<=>(~humble(X)<~>~creative(X))))&
(![X]:((~strong(X)|~wise(X))<=>(curious(X)|~funny(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:((rich(X)|strong(X)))))&
(![X]:((strong(X)|patient(X))=>~humble(X)))&
(![X]:((patient(X)|~old(X))=>(creative(X)|curious(X))))&
((?[X]:((funny(X)|strong(X))))=... | ~tall(susan) | [
"p0",
"p7",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7637110977302860022153947
% SZS output start Proof for 7637110977302860022153947
1. ! [X0] : ((~curious(X0) & wise(X0)) <=> (~humble(X0) <~> ~creative(X0))) [input p0]
8. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> (rich(X0) & ~generous(X0))) [input p7]
9. ! [X0] : ((~curious(X0) | ~kind(X0... | 0 |
If alice is not rich or calm then mary is old or not generous and vice versa.
If someone is both not humble and not tall then alice is both not happy and generous and vice versa.
Everyone who is not generous is not brave or not kind.
If susan is not happy or not creative then alice is old or curious and vice versa.
If ... | Fred is brave. | neutral | (((~rich(alice)|calm(alice)))<=>((old(mary)|~generous(mary))))&
((?[X]:((~humble(X)&~tall(X))))<=>((~happy(alice)&generous(alice))))&
(![X]:(~generous(X)=>(~brave(X)|~kind(X))))&
(((~happy(susan)|~creative(susan)))<=>((old(alice)|curious(alice))))&
((?[X]:((~creative(X)<~>tall(X))))=>(?[X]:((brave(X)&~tall(X)))))&
((?[... | brave(fred) | [] | null | 0 |
If someone is not humble then someone is not happy or happy and vice versa. Everyone who is either not old or rich is not kind or curious. If someone is not old or quiet then someone is both not quiet and rich and vice versa. If someone is not wise or strong then someone is both rich and not brave. If someone is both n... | Paul is calm. | neutral | ((?[X]:(~humble(X)))<=>(?[X]:((~happy(X)|happy(X)))))&
(![X]:((~old(X)<~>rich(X))=>(~kind(X)|curious(X))))&
((?[X]:((~old(X)|quiet(X))))<=>(?[X]:((~quiet(X)&rich(X)))))&
((?[X]:((~wise(X)|strong(X))))=>(?[X]:((rich(X)&~brave(X)))))&
((?[X]:((~humble(X)&creative(X))))=>(?[X]:((brave(X)&~generous(X)))))&
(((~kind(fred)<~... | calm(paul) | [] | null | 0 |
Everyone who is funny or humble is humble and vice versa. Everyone who is not tall or not generous is not tall. If someone is either not quiet or not humble then john is not tall and vice versa. Everyone who is either not strong or not wise is both curious and not kind and vice versa. Everyone who is not generous or ge... | Paul is funny. | contradiction | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:((~tall(X)|~generous(X))=>~tall(X)))&
((?[X]:((~quiet(X)<~>~humble(X))))<=>(~tall(john)))&
(![X]:((~strong(X)<~>~wise(X))<=>(curious(X)&~kind(X))))&
(![X]:((~generous(X)|generous(X))<=>(~funny(X)&calm(X))))&
((?[X]:((~humble(X)|~kind(X))))=>(~wise(john)))&
(![X]:(patient... | funny(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6472285939252567192871207
% SZS output start Proof for 6472285939252567192871207
5. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (calm(X0) & ~funny(X0))) [input p4]
25. funny(paul) [input hypothesis]
43. ! [X0] : (((generous(X0) | ~generous(X0)) | (~calm(X0) | funny(X0))) & ((calm(X0) & ~... | 0 |
If mary is patient then lucy is funny. If lucy is both calm and generous then someone is kind or not creative. Everyone who is either not tall or not generous is patient and vice versa. Everyone who is not generous or brave is not patient or curious. If alice is both happy and not quiet then john is either not tall or ... | John is not kind. | neutral | ((patient(mary))=>(funny(lucy)))&
(((calm(lucy)&generous(lucy)))=>(?[X]:((kind(X)|~creative(X)))))&
(![X]:((~tall(X)<~>~generous(X))<=>patient(X)))&
(![X]:((~generous(X)|brave(X))=>(~patient(X)|curious(X))))&
(((happy(alice)&~quiet(alice)))<=>((~tall(john)<~>~wise(john))))&
(![X]:((brave(X)<~>~curious(X))=>(~funny(X)|~... | ~kind(john) | [] | null | 0 |
Everyone who is both generous and not old is wise and vice versa. If mary is not rich then alice is both humble and not humble. If someone is both not generous and not old then lucy is creative or not kind and vice versa. If someone is both rich and not patient then john is both humble and curious and vice versa. If so... | Paul is strong. | neutral | (![X]:((generous(X)&~old(X))<=>wise(X)))&
((~rich(mary))=>((humble(alice)&~humble(alice))))&
((?[X]:((~generous(X)&~old(X))))<=>((creative(lucy)|~kind(lucy))))&
((?[X]:((rich(X)&~patient(X))))<=>((humble(john)&curious(john))))&
((?[X]:(kind(X)))<=>((~wise(susan)<~>~brave(susan))))&
((?[X]:(creative(X)))=>(?[X]:((old(X)... | strong(paul) | [] | null | 0 |
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