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 mary is both not curious and not old then someone is both calm and not old and vice versa. Everyone who is quiet or wise is both not rich and not old and vice versa. Everyone who is either humble or not happy is not strong. Everyone who is not rich or not quiet is either not kind or not generous. If lucy is creative... | Susan is creative. | entailment | (((~curious(mary)&~old(mary)))<=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((quiet(X)|wise(X))<=>(~rich(X)&~old(X))))&
(![X]:((humble(X)<~>~happy(X))=>~strong(X)))&
(![X]:((~rich(X)|~quiet(X))=>(~kind(X)<~>~generous(X))))&
(((creative(lucy)|kind(lucy)))<=>((~calm(john)&~creative(john))))&
(![X]:(~patient(X)<=>(strong(X)|brave... | creative(susan) | [
"p1",
"p3",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4708282911226652949223
% SZS output start Proof for 4708282911226652949223
2. ! [X0] : ((wise(X0) | quiet(X0)) <=> (~old(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) | ~rich(X0)) => (~kind(X0) <~> ~generous(X0))) [input p3]
16. ! [X0] : ((~creative(X0) & strong(X0)) <=> (generous... | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
If someone is wise then lucy is both creative and happy and vice versa.
Everyone who is either strong or happy is b... | Fred is brave. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
((?[X]:(wise(X)))<=>((creative(lucy)&happy(lucy))))&
(![X]:((strong(X)<~>happy(X))=>(quiet(X)&~quiet(X))))&
((?[X]:(happy(X)))=>(?[X]:((~strong(X)&~happy(X)))))&
(![X]:((fu... | brave(fred) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5949577621114698316228308
% SZS output start Proof for 5949577621114698316228308
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
11. (~creative(alice) | rich(alice)) <=> (brave(fred) & ~patien... | 0 |
Everyone who is either funny or not brave is either curious or wise.
If mary is not quiet or not strong then mary is kind and vice versa.
Everyone who is not happy or not wise is both quiet and not wise.
If someone is happy or not strong then someone is brave and vice versa.
Everyone who is either not tall or kind is p... | Susan is quiet. | entailment | (![X]:((funny(X)<~>~brave(X))=>(curious(X)<~>wise(X))))&
(((~quiet(mary)|~strong(mary)))<=>(kind(mary)))&
(![X]:((~happy(X)|~wise(X))=>(quiet(X)&~wise(X))))&
((?[X]:((happy(X)|~strong(X))))<=>(?[X]:(brave(X))))&
(![X]:((~tall(X)<~>kind(X))<=>(patient(X)|~curious(X))))&
((?[X]:((~creative(X)&~funny(X))))<=>((calm(mary)&... | quiet(susan) | [
"p0",
"p2",
"p6",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4756493255320652866338861
% SZS output start Proof for 4756493255320652866338861
1. ! [X0] : ((funny(X0) <~> ~brave(X0)) => (curious(X0) <~> wise(X0))) [input p0]
3. ! [X0] : ((~wise(X0) | ~happy(X0)) => (~wise(X0) & quiet(X0))) [input p2]
7. ! [X0] : ((~rich(X0) & creative(X0)) <=> (~bra... | 0 |
If mary is either not generous or humble then fred is both not patient and not strong.
Everyone who is happy or not curious is either brave or not humble and vice versa.
If lucy is quiet or not wise then someone is not brave or kind.
Everyone who is not creative or quiet is both not creative and quiet and vice versa.
E... | Mary is tall. | neutral | (((~generous(mary)<~>humble(mary)))=>((~patient(fred)&~strong(fred))))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))&
(![X]:((brave(X)|~wise(X))<=>(~rich(X)&creative(X))))&
(![X]:(curiou... | tall(mary) | [] | null | 0 |
If susan is not generous or kind then alice is patient or curious and vice versa. Everyone who is either not rich or not patient is generous. If someone is creative or not happy then someone is either not wise or curious and vice versa. If someone is not calm or not curious then someone is not tall or wise and vice ver... | Susan is not generous. | neutral | (((~generous(susan)|kind(susan)))<=>((patient(alice)|curious(alice))))&
(![X]:((~rich(X)<~>~patient(X))=>generous(X)))&
((?[X]:((creative(X)|~happy(X))))<=>(?[X]:((~wise(X)<~>curious(X)))))&
((?[X]:((~calm(X)|~curious(X))))<=>(?[X]:((~tall(X)|wise(X)))))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong... | ~generous(susan) | [] | null | 0 |
Everyone who is both wise and happy is strong or rich.
If john is not curious then lucy is both not generous and wise and vice versa.
If someone is both not kind and not humble then someone is generous and vice versa.
Everyone who is both curious and calm is not brave or not funny.
If someone is either not calm or not ... | John is not calm. | contradiction | (![X]:((wise(X)&happy(X))=>(strong(X)|rich(X))))&
((~curious(john))<=>((~generous(lucy)&wise(lucy))))&
((?[X]:((~kind(X)&~humble(X))))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&calm(X))=>(~brave(X)|~funny(X))))&
((?[X]:((~calm(X)<~>~patient(X))))=>(curious(john)))&
(![X]:(funny(X)=>(~curious(X)<~>~calm(X))))&
(![X]:(... | ~calm(john) | [
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3514959460055050171601665
% SZS output start Proof for 3514959460055050171601665
12. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~funny(X0))) [input p11]
14. ! [X0] : ((~kind(X0) | ~creative(X0)) => (~generous(X0) <~> ~funny(X0))) [input p13]
16. ! [X0] : (~calm(X0) => (~ta... | 0 |
If someone is not kind or kind then someone is both not calm and not happy and vice versa. If someone is both tall and quiet then someone is either patient or strong and vice versa. Everyone who is rich is not tall or not wise. Everyone who is either not creative or patient is both patient and not generous. If someone ... | Mary is not rich. | contradiction | ((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((~calm(X)&~happy(X)))))&
((?[X]:((tall(X)&quiet(X))))<=>(?[X]:((patient(X)<~>strong(X)))))&
(![X]:(rich(X)=>(~tall(X)|~wise(X))))&
(![X]:((~creative(X)<~>patient(X))=>(patient(X)&~generous(X))))&
((?[X]:((~creative(X)&brave(X))))<=>(?[X]:(brave(X))))&
((?[X]:((~rich(X)&~strong(X)))... | ~rich(mary) | [
"p4",
"p5",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5448857077181099091524365
% SZS output start Proof for 5448857077181099091524365
5. ? [X0] : (brave(X0) & ~creative(X0)) <=> ? [X0] : brave(X0) [input p4]
6. ? [X0] : (~strong(X0) & ~rich(X0)) <=> ? [X0] : ~generous(X0) [input p5]
7. ! [X0] : ((~creative(X0) & ~rich(X0)) => (brave(X0) <~>... | 0 |
If lucy is both wise and tall then mary is either not creative or not funny and vice versa.
Everyone who is tall or generous is both not creative and calm and vice versa.
If mary is both not strong and happy then someone is both funny and not funny.
If fred is either curious or not rich then someone is both happy and n... | Lucy is tall. | neutral | (((wise(lucy)&tall(lucy)))<=>((~creative(mary)<~>~funny(mary))))&
(![X]:((tall(X)|generous(X))<=>(~creative(X)&calm(X))))&
(((~strong(mary)&happy(mary)))=>(?[X]:((funny(X)&~funny(X)))))&
(((curious(fred)<~>~rich(fred)))<=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:(~wise(X)<=>~generous(X)))&
(![X]:((creative(X)<~>rich(X))=>(... | tall(lucy) | [] | null | 0 |
If lucy is either not brave or not strong then someone is either not old or generous. If susan is generous then someone is either not quiet or not wise and vice versa. If john is not patient or kind then someone is creative or kind and vice versa. Everyone who is not tall is creative. If mary is quiet or funny then fre... | Fred is not patient. | neutral | (((~brave(lucy)<~>~strong(lucy)))=>(?[X]:((~old(X)<~>generous(X)))))&
((generous(susan))<=>(?[X]:((~quiet(X)<~>~wise(X)))))&
(((~patient(john)|kind(john)))<=>(?[X]:((creative(X)|kind(X)))))&
(![X]:(~tall(X)=>creative(X)))&
(((quiet(mary)|funny(mary)))<=>(generous(fred)))&
((funny(fred))<=>(?[X]:(kind(X))))&
((?[X]:((ta... | ~patient(fred) | [] | null | 0 |
If someone is generous or not quiet then susan is not brave or old and vice versa.
If someone is patient or generous then someone is either not kind or not funny and vice versa.
Everyone who is not quiet is both not old and tall and vice versa.
Everyone who is tall or not curious is either happy or not brave and vice v... | Susan is brave. | neutral | ((?[X]:((generous(X)|~quiet(X))))<=>((~brave(susan)|old(susan))))&
((?[X]:((patient(X)|generous(X))))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:(~quiet(X)<=>(~old(X)&tall(X))))&
(![X]:((tall(X)|~curious(X))<=>(happy(X)<~>~brave(X))))&
(((strong(john)|~brave(john)))<=>((funny(john)<~>patient(john))))&
(![X]:((~calm(X)<~... | brave(susan) | [] | null | 0 |
Everyone who is either creative or funny is either not patient or not brave and vice versa.
Everyone who is either calm or not humble is both not happy and happy and vice versa.
If susan is both old and tall then someone is either quiet or not brave and vice versa.
Everyone who is calm or not quiet is either patient or... | John is not quiet. | neutral | (![X]:((creative(X)<~>funny(X))<=>(~patient(X)<~>~brave(X))))&
(![X]:((calm(X)<~>~humble(X))<=>(~happy(X)&happy(X))))&
(((old(susan)&tall(susan)))<=>(?[X]:((quiet(X)<~>~brave(X)))))&
(![X]:((calm(X)|~quiet(X))=>(patient(X)<~>calm(X))))&
(![X]:((~old(X)&~calm(X))<=>(~wise(X)|rich(X))))&
((?[X]:((~patient(X)&~happy(X))))... | ~quiet(john) | [] | null | 0 |
Everyone who is either not creative or brave is both not curious and not rich and vice versa.
Everyone who is either not old or funny is not brave and vice versa.
Everyone who is not funny or old is both generous and creative.
If john is either calm or not strong then alice is funny.
Everyone who is not old is both not... | Alice is strong. | contradiction | (![X]:((~creative(X)<~>brave(X))<=>(~curious(X)&~rich(X))))&
(![X]:((~old(X)<~>funny(X))<=>~brave(X)))&
(![X]:((~funny(X)|old(X))=>(generous(X)&creative(X))))&
(((calm(john)<~>~strong(john)))=>(funny(alice)))&
(![X]:(~old(X)<=>(~quiet(X)&~generous(X))))&
(![X]:((wise(X)<~>curious(X))<=>(~brave(X)|~strong(X))))&
(![X]:(... | strong(alice) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p7",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1696948563054850530369025
% SZS output start Proof for 1696948563054850530369025
1. ! [X0] : ((~creative(X0) <~> brave(X0)) <=> (~rich(X0) & ~curious(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> funny(X0)) <=> ~brave(X0)) [input p1]
3. ! [X0] : ((old(X0) | ~funny(X0)) => (creative(X0) & ge... | 0 |
If someone is not old then alice is both not calm and not brave. Everyone who is both not happy and humble is either strong or old. If someone is either not strong or not brave then fred is either old or not creative. Everyone who is both kind and not humble is either not tall or not wise. Everyone who is not brave is ... | Alice is wise. | contradiction | ((?[X]:(~old(X)))=>((~calm(alice)&~brave(alice))))&
(![X]:((~happy(X)&humble(X))=>(strong(X)<~>old(X))))&
((?[X]:((~strong(X)<~>~brave(X))))=>((old(fred)<~>~creative(fred))))&
(![X]:((kind(X)&~humble(X))=>(~tall(X)<~>~wise(X))))&
(![X]:(~brave(X)<=>calm(X)))&
(![X]:(creative(X)=>~wise(X)))&
(![X]:((creative(X)&~brave(X... | wise(alice) | [
"p5",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 855043104235808911244485
% SZS output start Proof for 855043104235808911244485
6. ! [X0] : (creative(X0) => ~wise(X0)) [input p5]
14. ! [X0] : ((~wise(X0) <~> old(X0)) <=> (kind(X0) & creative(X0))) [input p13]
18. old(alice) & ~quiet(alice) [input p17]
23. wise(alice) [input hypothesis]
... | 0 |
If mary is creative then someone is both not generous and kind. Everyone who is either not old or not quiet is either not funny or not old. Everyone who is strong is not tall or not creative. If mary is brave then someone is either not creative or quiet and vice versa. Everyone who is not humble is either creative or n... | Mary is brave. | neutral | ((creative(mary))=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:((~old(X)<~>~quiet(X))=>(~funny(X)<~>~old(X))))&
(![X]:(strong(X)=>(~tall(X)|~creative(X))))&
((brave(mary))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:(~humble(X)=>(creative(X)<~>~strong(X))))&
(![X]:((~funny(X)&~quiet(X))<=>(~kind(X)&calm(X))))&
((?[X]:((hu... | brave(mary) | [] | null | 0 |
Everyone who is both not rich and strong is not creative.
If lucy is either not humble or not rich then susan is either not funny or brave.
Everyone who is both not generous and not calm is tall or strong.
Everyone who is not calm is old and vice versa.
If lucy is both strong and generous then paul is kind and vice ver... | Lucy is not generous. | neutral | (![X]:((~rich(X)&strong(X))=>~creative(X)))&
(((~humble(lucy)<~>~rich(lucy)))=>((~funny(susan)<~>brave(susan))))&
(![X]:((~generous(X)&~calm(X))=>(tall(X)|strong(X))))&
(![X]:(~calm(X)<=>old(X)))&
(((strong(lucy)&generous(lucy)))<=>(kind(paul)))&
(![X]:((~brave(X)&quiet(X))<=>humble(X)))&
(![X]:((~rich(X)|calm(X))<=>(w... | ~generous(lucy) | [] | null | 0 |
If someone is either not old or not happy then fred is calm and vice versa.
Everyone who is wise is not brave.
If susan is not kind then someone is brave.
Everyone who is brave is either kind or not curious and vice versa.
If paul is not creative then someone is both not patient and calm and vice versa.
Everyone who is... | Mary is not quiet. | entailment | ((?[X]:((~old(X)<~>~happy(X))))<=>(calm(fred)))&
(![X]:(wise(X)=>~brave(X)))&
((~kind(susan))=>(?[X]:(brave(X))))&
(![X]:(brave(X)<=>(kind(X)<~>~curious(X))))&
((~creative(paul))<=>(?[X]:((~patient(X)&calm(X)))))&
(![X]:((quiet(X)&funny(X))<=>(curious(X)|calm(X))))&
(![X]:((~funny(X)|calm(X))<=>~quiet(X)))&
(![X]:(old(... | ~quiet(mary) | [
"p5",
"p6",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 196847342891968798947945
% SZS output start Proof for 196847342891968798947945
6. ! [X0] : ((funny(X0) & quiet(X0)) <=> (calm(X0) | curious(X0))) [input p5]
7. ! [X0] : ((calm(X0) | ~funny(X0)) <=> ~quiet(X0)) [input p6]
9. ! [X0] : (funny(X0) <=> (tall(X0) & ~happy(X0))) [input p8]
10. !... | 0 |
If mary is old then susan is brave and vice versa.
If alice is not generous or not tall then someone is either happy or generous and vice versa.
If someone is creative then alice is both not generous and not humble.
Everyone who is both not kind and not humble is not strong or not funny and vice versa.
If paul is not c... | Susan is not old. | neutral | ((old(mary))<=>(brave(susan)))&
(((~generous(alice)|~tall(alice)))<=>(?[X]:((happy(X)<~>generous(X)))))&
((?[X]:(creative(X)))=>((~generous(alice)&~humble(alice))))&
(![X]:((~kind(X)&~humble(X))<=>(~strong(X)|~funny(X))))&
(((~curious(paul)|~patient(paul)))<=>(?[X]:(patient(X))))&
(![X]:((creative(X)<~>calm(X))=>(~calm... | ~old(susan) | [] | null | 0 |
Everyone who is strong or not curious is kind and vice versa.
Everyone who is not strong is wise and vice versa.
If someone is not happy or not patient then someone is not creative.
If someone is brave then lucy is either happy or not kind.
If someone is both creative and not brave then someone is old or strong.
Everyo... | Fred is not old. | contradiction | (![X]:((strong(X)|~curious(X))<=>kind(X)))&
(![X]:(~strong(X)<=>wise(X)))&
((?[X]:((~happy(X)|~patient(X))))=>(?[X]:(~creative(X))))&
((?[X]:(brave(X)))=>((happy(lucy)<~>~kind(lucy))))&
((?[X]:((creative(X)&~brave(X))))=>(?[X]:((old(X)|strong(X)))))&
(![X]:((funny(X)<~>curious(X))<=>(happy(X)&rich(X))))&
(![X]:((~funny... | ~old(fred) | [
"p0",
"p1",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 11571192788305790245625
% SZS output start Proof for 11571192788305790245625
1. ! [X0] : ((~curious(X0) | strong(X0)) <=> kind(X0)) [input p0]
2. ! [X0] : (~strong(X0) <=> wise(X0)) [input p1]
11. ! [X0] : ((funny(X0) & ~kind(X0)) <=> (~old(X0) | ~brave(X0))) [input p10]
14. ! [X0] : ((wi... | 0 |
Everyone who is patient is generous and vice versa.
If someone is not quiet then someone is either not creative or rich and vice versa.
Everyone who is either not happy or patient is both not rich and not brave.
If lucy is both not wise and not quiet then susan is both old and wise.
If fred is both not tall and tall th... | Lucy is happy. | entailment | (![X]:(patient(X)<=>generous(X)))&
((?[X]:(~quiet(X)))<=>(?[X]:((~creative(X)<~>rich(X)))))&
(![X]:((~happy(X)<~>patient(X))=>(~rich(X)&~brave(X))))&
(((~wise(lucy)&~quiet(lucy)))=>((old(susan)&wise(susan))))&
(((~tall(fred)&tall(fred)))=>(strong(fred)))&
(![X]:((~humble(X)|quiet(X))=>~patient(X)))&
(![X]:((tall(X)|str... | happy(lucy) | [
"p2",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8176395285387155053996806
% SZS output start Proof for 8176395285387155053996806
3. ! [X0] : ((~happy(X0) <~> patient(X0)) => (~brave(X0) & ~rich(X0))) [input p2]
10. ! [X0] : ((brave(X0) | ~brave(X0)) => rich(X0)) [input p9]
14. ? [X0] : (tall(X0) & ~tall(X0)) <=> ? [X0] : (patient(X0) |... | 0 |
If someone is not generous or not tall then mary is not creative or not generous and vice versa. If someone is not patient or not quiet then someone is both not funny and kind. Everyone who is either not calm or curious is both calm and not generous and vice versa. Everyone who is not humble or strong is both not brave... | Susan is quiet. | contradiction | ((?[X]:((~generous(X)|~tall(X))))<=>((~creative(mary)|~generous(mary))))&
((?[X]:((~patient(X)|~quiet(X))))=>(?[X]:((~funny(X)&kind(X)))))&
(![X]:((~calm(X)<~>curious(X))<=>(calm(X)&~generous(X))))&
(![X]:((~humble(X)|strong(X))=>(~brave(X)&~calm(X))))&
((?[X]:((calm(X)&curious(X))))<=>(?[X]:((old(X)|patient(X)))))&
(!... | quiet(susan) | [
"p3",
"p4",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5396996538839757868421338
% SZS output start Proof for 5396996538839757868421338
4. ! [X0] : ((strong(X0) | ~humble(X0)) => (~calm(X0) & ~brave(X0))) [input p3]
5. ? [X0] : (curious(X0) & calm(X0)) <=> ? [X0] : (patient(X0) | old(X0)) [input p4]
9. ! [X0] : (~quiet(X0) <=> (brave(X0) | ~p... | 0 |
If someone is either not humble or happy then someone is wise and vice versa. If alice is both not patient and not brave then someone is both not old and wise. If someone is both funny and not curious then someone is both not creative and tall. Everyone who is both not tall and happy is not wise or not kind. Everyone w... | Susan is not happy. | neutral | ((?[X]:((~humble(X)<~>happy(X))))<=>(?[X]:(wise(X))))&
(((~patient(alice)&~brave(alice)))=>(?[X]:((~old(X)&wise(X)))))&
((?[X]:((funny(X)&~curious(X))))=>(?[X]:((~creative(X)&tall(X)))))&
(![X]:((~tall(X)&happy(X))=>(~wise(X)|~kind(X))))&
(![X]:((kind(X)&quiet(X))=>(~generous(X)|~calm(X))))&
(![X]:((creative(X)|~kind(X... | ~happy(susan) | [] | null | 0 |
Everyone who is not calm or not strong is not humble.
Everyone who is not calm is wise or strong and vice versa.
Everyone who is calm is not calm or not funny and vice versa.
Everyone who is either calm or not funny is not calm or not rich.
If someone is not quiet then paul is strong or not calm.
If fred is either old ... | Lucy is not patient. | neutral | (![X]:((~calm(X)|~strong(X))=>~humble(X)))&
(![X]:(~calm(X)<=>(wise(X)|strong(X))))&
(![X]:(calm(X)<=>(~calm(X)|~funny(X))))&
(![X]:((calm(X)<~>~funny(X))=>(~calm(X)|~rich(X))))&
((?[X]:(~quiet(X)))=>((strong(paul)|~calm(paul))))&
(((old(fred)<~>wise(fred)))=>((tall(susan)|patient(susan))))&
(![X]:((wise(X)|patient(X))... | ~patient(lucy) | [] | null | 0 |
Everyone who is either not strong or curious is not strong.
If someone is either not generous or not tall then someone is not happy and vice versa.
Everyone who is creative is happy or not happy.
If someone is calm or wise then someone is either strong or kind and vice versa.
If lucy is both not tall and not generous t... | Paul is quiet. | contradiction | (![X]:((~strong(X)<~>curious(X))=>~strong(X)))&
((?[X]:((~generous(X)<~>~tall(X))))<=>(?[X]:(~happy(X))))&
(![X]:(creative(X)=>(happy(X)|~happy(X))))&
((?[X]:((calm(X)|wise(X))))<=>(?[X]:((strong(X)<~>kind(X)))))&
(((~tall(lucy)&~generous(lucy)))<=>(?[X]:((rich(X)&tall(X)))))&
(![X]:((wise(X)|~kind(X))<=>(~funny(X)&~wi... | quiet(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6703584850183935871762919
% SZS output start Proof for 6703584850183935871762919
23. ~quiet(paul) & creative(paul) [input p22]
25. quiet(paul) [input hypothesis]
165. ~quiet(paul) [cnf transformation 23]
168. quiet(paul) [cnf transformation 25]
402. $false [subsumption resolution 168,165]... | 0 |
Everyone who is rich or not calm is patient or strong. Everyone who is both curious and not old is either not rich or strong and vice versa. Everyone who is brave is both not funny and kind and vice versa. If john is either rich or curious then someone is not humble and vice versa. If someone is funny then susan is old... | John is not kind. | entailment | (![X]:((rich(X)|~calm(X))=>(patient(X)|strong(X))))&
(![X]:((curious(X)&~old(X))<=>(~rich(X)<~>strong(X))))&
(![X]:(brave(X)<=>(~funny(X)&kind(X))))&
(((rich(john)<~>curious(john)))<=>(?[X]:(~humble(X))))&
((?[X]:(funny(X)))<=>((old(susan)|~humble(susan))))&
(((~quiet(lucy)<~>happy(lucy)))=>(~creative(paul)))&
(((humbl... | ~kind(john) | [
"p1",
"p2",
"p3",
"p9",
"p15",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4278935885751437843991712
% SZS output start Proof for 4278935885751437843991712
2. ! [X0] : ((~old(X0) & curious(X0)) <=> (~rich(X0) <~> strong(X0))) [input p1]
3. ! [X0] : (brave(X0) <=> (kind(X0) & ~funny(X0))) [input p2]
4. (rich(john) <~> curious(john)) <=> ? [X0] : ~humble(X0) [inpu... | 0 |
If fred is both not strong and generous then someone is either not funny or curious.
If someone is both creative and not calm then alice is both humble and calm.
Everyone who is both not funny and tall is both not happy and not old and vice versa.
If someone is not kind or not strong then fred is both not wise and not ... | Fred is kind. | contradiction | (((~strong(fred)&generous(fred)))=>(?[X]:((~funny(X)<~>curious(X)))))&
((?[X]:((creative(X)&~calm(X))))=>((humble(alice)&calm(alice))))&
(![X]:((~funny(X)&tall(X))<=>(~happy(X)&~old(X))))&
((?[X]:((~kind(X)|~strong(X))))=>((~wise(fred)&~funny(fred))))&
(![X]:((calm(X)<~>~quiet(X))=>(brave(X)&funny(X))))&
(![X]:(brave(X... | kind(fred) | [
"p3",
"p4",
"p5",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8037489039967559168236183
% SZS output start Proof for 8037489039967559168236183
4. ? [X0] : (~strong(X0) | ~kind(X0)) => (~funny(fred) & ~wise(fred)) [input p3]
5. ! [X0] : ((calm(X0) <~> ~quiet(X0)) => (funny(X0) & brave(X0))) [input p4]
6. ! [X0] : (brave(X0) <=> ~wise(X0)) [input p5]
... | 0 |
Everyone who is not creative is not curious or not strong.
If someone is not creative then paul is funny.
Everyone who is both patient and kind is not humble or not funny.
Everyone who is either tall or not old is not strong.
If someone is not patient or not kind then alice is either happy or not creative.
If someone i... | Paul is old. | neutral | (![X]:(~creative(X)=>(~curious(X)|~strong(X))))&
((?[X]:(~creative(X)))=>(funny(paul)))&
(![X]:((patient(X)&kind(X))=>(~humble(X)|~funny(X))))&
(![X]:((tall(X)<~>~old(X))=>~strong(X)))&
((?[X]:((~patient(X)|~kind(X))))=>((happy(alice)<~>~creative(alice))))&
((?[X]:((~old(X)<~>creative(X))))<=>(?[X]:((brave(X)&curious(X... | old(paul) | [] | null | 0 |
If mary is both not kind and brave then someone is both generous and not patient.
Everyone who is either not happy or tall is wise and vice versa.
If someone is both wise and not wise then alice is both not curious and not humble and vice versa.
Everyone who is not old is either wise or strong.
Everyone who is patient ... | John is not wise. | neutral | (((~kind(mary)&brave(mary)))=>(?[X]:((generous(X)&~patient(X)))))&
(![X]:((~happy(X)<~>tall(X))<=>wise(X)))&
((?[X]:((wise(X)&~wise(X))))<=>((~curious(alice)&~humble(alice))))&
(![X]:(~old(X)=>(wise(X)<~>strong(X))))&
(![X]:(patient(X)=>(~generous(X)&happy(X))))&
(![X]:((wise(X)<~>~wise(X))=>~old(X)))&
((?[X]:((humble(... | ~wise(john) | [] | null | 0 |
Everyone who is not creative is humble.
If paul is funny or generous then paul is not wise or not patient.
Everyone who is both not wise and creative is not wise and vice versa.
Everyone who is quiet is humble and vice versa.
Everyone who is not tall or curious is both not old and not kind and vice versa.
If paul is no... | Mary is not curious. | contradiction | (![X]:(~creative(X)=>humble(X)))&
(((funny(paul)|generous(paul)))=>((~wise(paul)|~patient(paul))))&
(![X]:((~wise(X)&creative(X))<=>~wise(X)))&
(![X]:(quiet(X)<=>humble(X)))&
(![X]:((~tall(X)|curious(X))<=>(~old(X)&~kind(X))))&
((~strong(paul))<=>(?[X]:(creative(X))))&
(![X]:((humble(X)|~quiet(X))<=>(~old(X)&tall(X))))... | ~curious(mary) | [
"p0",
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6632432835712028793738864
% SZS output start Proof for 6632432835712028793738864
1. ! [X0] : (~creative(X0) => humble(X0)) [input p0]
5. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~kind(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) | humble(X0)) <=> (tall(X0) & ~old(X0))) [input p6]
... | 0 |
Everyone who is not brave or not strong is not brave or not tall and vice versa.
If someone is not wise or rich then lucy is either quiet or not brave and vice versa.
Everyone who is rich is both not calm and curious.
Everyone who is not wise is both not quiet and old.
If john is either not kind or not strong then john... | Lucy is brave. | neutral | (![X]:((~brave(X)|~strong(X))<=>(~brave(X)|~tall(X))))&
((?[X]:((~wise(X)|rich(X))))<=>((quiet(lucy)<~>~brave(lucy))))&
(![X]:(rich(X)=>(~calm(X)&curious(X))))&
(![X]:(~wise(X)=>(~quiet(X)&old(X))))&
(((~kind(john)<~>~strong(john)))=>((~tall(john)<~>happy(john))))&
(![X]:((~generous(X)<~>patient(X))=>(generous(X)<~>~ca... | brave(lucy) | [] | null | 0 |
Everyone who is either not tall or calm is curious and vice versa.
Everyone who is both not curious and curious is either kind or calm and vice versa.
If paul is happy or calm then someone is wise.
Everyone who is both not wise and humble is old or not generous.
If someone is either humble or creative then john is both... | Susan is patient. | contradiction | (![X]:((~tall(X)<~>calm(X))<=>curious(X)))&
(![X]:((~curious(X)&curious(X))<=>(kind(X)<~>calm(X))))&
(((happy(paul)|calm(paul)))=>(?[X]:(wise(X))))&
(![X]:((~wise(X)&humble(X))=>(old(X)|~generous(X))))&
((?[X]:((humble(X)<~>creative(X))))<=>((~generous(john)&old(john))))&
(![X]:((~patient(X)|~curious(X))<=>(brave(X)&~r... | patient(susan) | [
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3170714234262327814876048
% SZS output start Proof for 3170714234262327814876048
12. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~funny(X0) <~> rich(X0))) [input p11]
13. ! [X0] : ((~rich(X0) | ~generous(X0)) <=> (~patient(X0) & ~curious(X0))) [input p12]
21. ~funny(susan) & ~old(susan) [i... | 0 |
If someone is either happy or not quiet then someone is both not calm and not happy.
Everyone who is either humble or not tall is both calm and creative.
Everyone who is not humble or curious is either strong or patient and vice versa.
Everyone who is not old is not wise and vice versa.
If susan is creative or generous... | John is quiet. | neutral | ((?[X]:((happy(X)<~>~quiet(X))))=>(?[X]:((~calm(X)&~happy(X)))))&
(![X]:((humble(X)<~>~tall(X))=>(calm(X)&creative(X))))&
(![X]:((~humble(X)|curious(X))<=>(strong(X)<~>patient(X))))&
(![X]:(~old(X)<=>~wise(X)))&
(((creative(susan)|generous(susan)))<=>(old(mary)))&
(![X]:((~brave(X)|strong(X))<=>(~rich(X)|calm(X))))&
(!... | quiet(john) | [] | null | 0 |
If mary is not calm or not tall then someone is either funny or kind and vice versa.
If lucy is tall or quiet then someone is either not funny or kind.
If someone is not patient then someone is both not brave and not strong.
Everyone who is not funny is not kind and vice versa.
Everyone who is either happy or not rich ... | Susan is not generous. | neutral | (((~calm(mary)|~tall(mary)))<=>(?[X]:((funny(X)<~>kind(X)))))&
(((tall(lucy)|quiet(lucy)))=>(?[X]:((~funny(X)<~>kind(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:(~funny(X)<=>~kind(X)))&
(![X]:((happy(X)<~>~rich(X))<=>(~tall(X)|happy(X))))&
((calm(paul))=>((funny(john)&~patient(john))))&
(![X]... | ~generous(susan) | [] | null | 0 |
Everyone who is not funny is both not patient and happy and vice versa.
If someone is not brave or curious then someone is not curious or not happy and vice versa.
If mary is either not old or humble then someone is either quiet or old.
Everyone who is kind or not patient is not patient or not generous and vice versa.
... | Fred is not wise. | contradiction | (![X]:(~funny(X)<=>(~patient(X)&happy(X))))&
((?[X]:((~brave(X)|curious(X))))<=>(?[X]:((~curious(X)|~happy(X)))))&
(((~old(mary)<~>humble(mary)))=>(?[X]:((quiet(X)<~>old(X)))))&
(![X]:((kind(X)|~patient(X))<=>(~patient(X)|~generous(X))))&
(((happy(fred)&~generous(fred)))<=>((curious(alice)&kind(alice))))&
(![X]:((~happ... | ~wise(fred) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1464590407088627378312673
% SZS output start Proof for 1464590407088627378312673
15. ? [X0] : (~wise(X0) | ~funny(X0)) => ? [X0] : (~tall(X0) & ~funny(X0)) [input p14]
16. ! [X0] : (tall(X0) <=> (~tall(X0) | generous(X0))) [input p15]
23. ~wise(fred) [input hypothesis]
27. ? [X0] : (~wise... | 0 |
If fred is either not old or strong then susan is not tall.
Everyone who is brave or not tall is both wise and patient.
Everyone who is not funny or patient is either tall or generous and vice versa.
Everyone who is both creative and not humble is both not brave and tall and vice versa.
Everyone who is either calm or h... | Fred is not wise. | contradiction | (((~old(fred)<~>strong(fred)))=>(~tall(susan)))&
(![X]:((brave(X)|~tall(X))=>(wise(X)&patient(X))))&
(![X]:((~funny(X)|patient(X))<=>(tall(X)<~>generous(X))))&
(![X]:((creative(X)&~humble(X))<=>(~brave(X)&tall(X))))&
(![X]:((calm(X)<~>happy(X))=>(funny(X)<~>generous(X))))&
(((~calm(alice)<~>~kind(alice)))=>((brave(susa... | ~wise(fred) | [
"p1",
"p2",
"p3",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3860023074296857192913227
% SZS output start Proof for 3860023074296857192913227
2. ! [X0] : ((~tall(X0) | brave(X0)) => (patient(X0) & wise(X0))) [input p1]
3. ! [X0] : ((patient(X0) | ~funny(X0)) <=> (tall(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((~humble(X0) & creative(X0)) <=> (... | 0 |
Everyone who is kind is not strong and vice versa. If someone is either generous or not patient then someone is not calm and vice versa. Everyone who is generous is either not generous or not quiet and vice versa. If someone is both humble and quiet then alice is curious or old and vice versa. If susan is either not cu... | Lucy is brave. | neutral | (![X]:(kind(X)<=>~strong(X)))&
((?[X]:((generous(X)<~>~patient(X))))<=>(?[X]:(~calm(X))))&
(![X]:(generous(X)<=>(~generous(X)<~>~quiet(X))))&
((?[X]:((humble(X)&quiet(X))))<=>((curious(alice)|old(alice))))&
(((~curious(susan)<~>curious(susan)))=>(?[X]:(~curious(X))))&
(((~patient(mary)|~kind(mary)))=>((~old(paul)<~>~ki... | brave(lucy) | [] | null | 0 |
Everyone who is funny is calm and vice versa.
If fred is wise or not kind then someone is happy or not generous.
If fred is both curious and not funny then someone is kind or not curious and vice versa.
Everyone who is not quiet or rich is both rich and not kind and vice versa.
If someone is happy then someone is eithe... | Fred is calm. | contradiction | (![X]:(funny(X)<=>calm(X)))&
(((wise(fred)|~kind(fred)))=>(?[X]:((happy(X)|~generous(X)))))&
(((curious(fred)&~funny(fred)))<=>(?[X]:((kind(X)|~curious(X)))))&
(![X]:((~quiet(X)|rich(X))<=>(rich(X)&~kind(X))))&
((?[X]:(happy(X)))<=>(?[X]:((strong(X)<~>creative(X)))))&
(((wise(susan)<~>strong(susan)))=>(?[X]:((old(X)|br... | calm(fred) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5147648848890067192275286
% SZS output start Proof for 5147648848890067192275286
1. ! [X0] : (funny(X0) <=> calm(X0)) [input p0]
19. strong(fred) & ~funny(fred) [input p18]
23. calm(fred) [input hypothesis]
37. ! [X0] : ((funny(X0) | ~calm(X0)) & (calm(X0) | ~funny(X0))) [nnf transformati... | 0 |
If someone is both wise and not wise then someone is humble or not rich.
Everyone who is both tall and strong is either creative or not old.
Everyone who is not humble or not strong is creative or calm and vice versa.
Everyone who is either not brave or not funny is either old or not kind.
Everyone who is either wise o... | Lucy is not old. | entailment | ((?[X]:((wise(X)&~wise(X))))=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((tall(X)&strong(X))=>(creative(X)<~>~old(X))))&
(![X]:((~humble(X)|~strong(X))<=>(creative(X)|calm(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(old(X)<~>~kind(X))))&
(![X]:((wise(X)<~>~generous(X))=>(~generous(X)|curious(X))))&
(((~rich(paul)<~>funny(paul)... | ~old(lucy) | [
"p1",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2210234080384462556556801
% SZS output start Proof for 2210234080384462556556801
2. ! [X0] : ((strong(X0) & tall(X0)) => (creative(X0) <~> ~old(X0))) [input p1]
12. ! [X0] : (~tall(X0) <=> (~old(X0) & kind(X0))) [input p11]
16. ! [X0] : ((strong(X0) | ~generous(X0)) <=> (~rich(X0) & ~crea... | 0 |
Everyone who is either patient or not calm is both not creative and humble and vice versa.
Everyone who is not happy is both not old and not funny.
Everyone who is either generous or funny is not old or not wise and vice versa.
Everyone who is either wise or humble is both happy and generous and vice versa.
Everyone wh... | Fred is brave. | entailment | (![X]:((patient(X)<~>~calm(X))<=>(~creative(X)&humble(X))))&
(![X]:(~happy(X)=>(~old(X)&~funny(X))))&
(![X]:((generous(X)<~>funny(X))<=>(~old(X)|~wise(X))))&
(![X]:((wise(X)<~>humble(X))<=>(happy(X)&generous(X))))&
(![X]:((~old(X)|~rich(X))<=>old(X)))&
(![X]:(~old(X)=>(~humble(X)<~>old(X))))&
((?[X]:((~kind(X)<~>rich(X... | brave(fred) | [
"p6",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 529075164690746671247089
% SZS output start Proof for 529075164690746671247089
7. ? [X0] : (~kind(X0) <~> rich(X0)) <=> wise(fred) [input p6]
9. ! [X0] : (~brave(X0) <=> (rich(X0) | ~wise(X0))) [input p8]
12. ! [X0] : (rich(X0) => (brave(X0) & humble(X0))) [input p11]
17. ~kind(paul) [inp... | 0 |
Everyone who is strong or brave is humble. Everyone who is both not generous and not calm is both not humble and calm. Everyone who is both generous and not kind is not humble. If someone is both not creative and wise then someone is either tall or not curious and vice versa. Everyone who is both not rich and not humbl... | Fred is not brave. | entailment | (![X]:((strong(X)|brave(X))=>humble(X)))&
(![X]:((~generous(X)&~calm(X))=>(~humble(X)&calm(X))))&
(![X]:((generous(X)&~kind(X))=>~humble(X)))&
((?[X]:((~creative(X)&wise(X))))<=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:((~rich(X)&~humble(X))<=>(~generous(X)<~>~strong(X))))&
(![X]:(creative(X)<=>(~wise(X)<~>old(X))))&
(... | ~brave(fred) | [
"p6",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6486870726178475960314827
% SZS output start Proof for 6486870726178475960314827
7. ! [X0] : ((brave(X0) | strong(X0)) <=> wise(X0)) [input p6]
11. ! [X0] : ((wise(X0) | ~generous(X0)) <=> ~wise(X0)) [input p10]
23. brave(fred) <~> ~strong(fred) [input p22]
24. brave(fred) [input hypothes... | 0 |
Everyone who is not patient or not happy is both patient and quiet.
Everyone who is either humble or not calm is not happy or curious and vice versa.
Everyone who is both generous and not calm is happy.
Everyone who is not old is not tall or tall.
If alice is not brave then someone is both old and not rich and vice ver... | Lucy is not calm. | entailment | (![X]:((~patient(X)|~happy(X))=>(patient(X)&quiet(X))))&
(![X]:((humble(X)<~>~calm(X))<=>(~happy(X)|curious(X))))&
(![X]:((generous(X)&~calm(X))=>happy(X)))&
(![X]:(~old(X)=>(~tall(X)|tall(X))))&
((~brave(alice))<=>(?[X]:((old(X)&~rich(X)))))&
((?[X]:((~kind(X)|~creative(X))))<=>(?[X]:((quiet(X)|calm(X)))))&
((?[X]:((~... | ~calm(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5661651109823451400822023
% SZS output start Proof for 5661651109823451400822023
11. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (happy(X0) | calm(X0))) [input p10]
24. calm(lucy) [input hypothesis]
63. ! [X0] : (((kind(X0) & ~kind(X0)) | (~happy(X0) & ~calm(X0))) & ((happy(X0) | calm(X0)) | (~k... | 0 |
If susan is strong or not generous then fred is not strong.
Everyone who is not generous is either wise or not tall.
If someone is not tall then someone is either generous or not calm.
If someone is not wise or not calm then paul is either not creative or wise and vice versa.
Everyone who is not creative or not rich is... | Paul is wise. | neutral | (((strong(susan)|~generous(susan)))=>(~strong(fred)))&
(![X]:(~generous(X)=>(wise(X)<~>~tall(X))))&
((?[X]:(~tall(X)))=>(?[X]:((generous(X)<~>~calm(X)))))&
((?[X]:((~wise(X)|~calm(X))))<=>((~creative(paul)<~>wise(paul))))&
(![X]:((~creative(X)|~rich(X))<=>(funny(X)&~curious(X))))&
(((rich(john)&creative(john)))<=>((old... | wise(paul) | [] | null | 0 |
Everyone who is both brave and happy is either funny or generous and vice versa.
If john is not quiet or not tall then susan is either kind or not kind.
Everyone who is not funny is not brave or funny and vice versa.
If lucy is both kind and not funny then someone is both generous and kind and vice versa.
Everyone who ... | Lucy is not generous. | entailment | (![X]:((brave(X)&happy(X))<=>(funny(X)<~>generous(X))))&
(((~quiet(john)|~tall(john)))=>((kind(susan)<~>~kind(susan))))&
(![X]:(~funny(X)<=>(~brave(X)|funny(X))))&
(((kind(lucy)&~funny(lucy)))<=>(?[X]:((generous(X)&kind(X)))))&
(![X]:(~tall(X)<=>(~patient(X)|funny(X))))&
(![X]:((quiet(X)|~strong(X))=>old(X)))&
((?[X]:(... | ~generous(lucy) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 303011683312641900768234
% SZS output start Proof for 303011683312641900768234
1. ! [X0] : ((happy(X0) & brave(X0)) <=> (funny(X0) <~> generous(X0))) [input p0]
3. ! [X0] : (~funny(X0) <=> (funny(X0) | ~brave(X0))) [input p2]
23. generous(lucy) [input hypothesis]
33. ! [X0] : (((happy(X0)... | 0 |
Everyone who is old is either not quiet or kind.
If alice is either not curious or not brave then someone is either not humble or wise and vice versa.
Everyone who is either funny or not rich is not creative or brave and vice versa.
If someone is not funny then susan is both quiet and old and vice versa.
Everyone who i... | Lucy is not happy. | entailment | (![X]:(old(X)=>(~quiet(X)<~>kind(X))))&
(((~curious(alice)<~>~brave(alice)))<=>(?[X]:((~humble(X)<~>wise(X)))))&
(![X]:((funny(X)<~>~rich(X))<=>(~creative(X)|brave(X))))&
((?[X]:(~funny(X)))<=>((quiet(susan)&old(susan))))&
(![X]:((~patient(X)|~happy(X))=>(patient(X)&quiet(X))))&
(![X]:((humble(X)<~>~calm(X))<=>(~happy(... | ~happy(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4321101499432019930340221
% SZS output start Proof for 4321101499432019930340221
15. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (happy(X0) | calm(X0))) [input p14]
23. happy(lucy) [input hypothesis]
72. ! [X0] : (((kind(X0) & ~kind(X0)) | (~happy(X0) & ~calm(X0))) & ((happy(X0) | calm(X0)) | (~... | 0 |
If fred is either not old or patient then someone is either not quiet or not curious and vice versa.
Everyone who is calm is both not strong and not kind and vice versa.
Everyone who is patient is not generous and vice versa.
If someone is both not wise and generous then lucy is either patient or not rich and vice vers... | Lucy is not patient. | neutral | (((~old(fred)<~>patient(fred)))<=>(?[X]:((~quiet(X)<~>~curious(X)))))&
(![X]:(calm(X)<=>(~strong(X)&~kind(X))))&
(![X]:(patient(X)<=>~generous(X)))&
((?[X]:((~wise(X)&generous(X))))<=>((patient(lucy)<~>~rich(lucy))))&
((?[X]:((patient(X)<~>~kind(X))))<=>(?[X]:((wise(X)<~>strong(X)))))&
(![X]:((~calm(X)&creative(X))<=>(... | ~patient(lucy) | [] | null | 0 |
If someone is either not happy or not strong then mary is both not humble and not brave.
If someone is either old or wise then alice is not curious and vice versa.
Everyone who is generous is either not tall or old and vice versa.
Everyone who is wise or creative is both funny and not old and vice versa.
If paul is not... | John is humble. | contradiction | ((?[X]:((~happy(X)<~>~strong(X))))=>((~humble(mary)&~brave(mary))))&
((?[X]:((old(X)<~>wise(X))))<=>(~curious(alice)))&
(![X]:(generous(X)<=>(~tall(X)<~>old(X))))&
(![X]:((wise(X)|creative(X))<=>(funny(X)&~old(X))))&
(((~humble(paul)|~tall(paul)))=>(~patient(mary)))&
(((~happy(paul)|generous(paul)))<=>((~quiet(fred)&~s... | humble(john) | [
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8583899350012330062199168
% SZS output start Proof for 8583899350012330062199168
9. ! [X0] : ((humble(X0) | ~curious(X0)) <=> (happy(X0) & ~brave(X0))) [input p8]
15. ! [X0] : (patient(X0) <=> (~strong(X0) & ~curious(X0))) [input p14]
16. ? [X0] : humble(X0) <=> (patient(susan) & brave(su... | 0 |
Everyone who is not old is not rich or rich and vice versa.
Everyone who is both wise and brave is strong or not curious.
Everyone who is wise or not calm is not patient and vice versa.
Everyone who is tall is either rich or not funny and vice versa.
If someone is both old and not curious then someone is tall or funny ... | Mary is curious. | contradiction | (![X]:(~old(X)<=>(~rich(X)|rich(X))))&
(![X]:((wise(X)&brave(X))=>(strong(X)|~curious(X))))&
(![X]:((wise(X)|~calm(X))<=>~patient(X)))&
(![X]:(tall(X)<=>(rich(X)<~>~funny(X))))&
((?[X]:((old(X)&~curious(X))))<=>(?[X]:((tall(X)|funny(X)))))&
((?[X]:((brave(X)|wise(X))))<=>(?[X]:((kind(X)<~>humble(X)))))&
((?[X]:(~rich(X... | curious(mary) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7299344995511095729749099
% SZS output start Proof for 7299344995511095729749099
1. ! [X0] : (~old(X0) <=> (rich(X0) | ~rich(X0))) [input p0]
4. ! [X0] : (tall(X0) <=> (rich(X0) <~> ~funny(X0))) [input p3]
5. ? [X0] : (~curious(X0) & old(X0)) <=> ? [X0] : (funny(X0) | tall(X0)) [input p4]... | 0 |
Everyone who is quiet is curious. Everyone who is either wise or not strong is funny or tall and vice versa. If lucy is both wise and old then mary is both funny and not happy. If john is creative then someone is not wise or not humble and vice versa. If fred is either happy or not calm then fred is either patient or b... | John is funny. | contradiction | (![X]:(quiet(X)=>curious(X)))&
(![X]:((wise(X)<~>~strong(X))<=>(funny(X)|tall(X))))&
(((wise(lucy)&old(lucy)))=>((funny(mary)&~happy(mary))))&
((creative(john))<=>(?[X]:((~wise(X)|~humble(X)))))&
(((happy(fred)<~>~calm(fred)))=>((patient(fred)<~>brave(fred))))&
(![X]:(tall(X)<=>(~funny(X)<~>happy(X))))&
((?[X]:((humble... | funny(john) | [
"p3",
"p5",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 860436101736527187918795
% SZS output start Proof for 860436101736527187918795
4. creative(john) <=> ? [X0] : (~humble(X0) | ~wise(X0)) [input p3]
6. ! [X0] : (tall(X0) <=> (~funny(X0) <~> happy(X0))) [input p5]
8. ! [X0] : (happy(X0) <=> (~tall(X0) & creative(X0))) [input p7]
23. ? [X0] ... | 0 |
Everyone who is either calm or not old is not calm.
Everyone who is not creative is both not tall and tall and vice versa.
Everyone who is happy is either wise or not calm and vice versa.
If someone is happy or generous then paul is wise or calm.
If someone is either not rich or patient then alice is curious.
Everyone ... | Mary is happy. | entailment | (![X]:((calm(X)<~>~old(X))=>~calm(X)))&
(![X]:(~creative(X)<=>(~tall(X)&tall(X))))&
(![X]:(happy(X)<=>(wise(X)<~>~calm(X))))&
((?[X]:((happy(X)|generous(X))))=>((wise(paul)|calm(paul))))&
((?[X]:((~rich(X)<~>patient(X))))=>(curious(alice)))&
(![X]:(~rich(X)<=>(tall(X)|~calm(X))))&
(![X]:((~happy(X)|~strong(X))=>(~funny... | happy(mary) | [
"p1",
"p2",
"p5",
"p6",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6543969935726781482523609
% SZS output start Proof for 6543969935726781482523609
2. ! [X0] : (~creative(X0) <=> (tall(X0) & ~tall(X0))) [input p1]
3. ! [X0] : (happy(X0) <=> (wise(X0) <~> ~calm(X0))) [input p2]
6. ! [X0] : (~rich(X0) <=> (~calm(X0) | tall(X0))) [input p5]
7. ! [X0] : ((~s... | 0 |
If someone is tall or kind then alice is both not patient and not strong and vice versa. Everyone who is both not quiet and not curious is kind or curious and vice versa. If someone is old then fred is not humble and vice versa. Everyone who is tall is generous and vice versa. If someone is both curious and funny then ... | Fred is brave. | neutral | ((?[X]:((tall(X)|kind(X))))<=>((~patient(alice)&~strong(alice))))&
(![X]:((~quiet(X)&~curious(X))<=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>(~humble(fred)))&
(![X]:(tall(X)<=>generous(X)))&
((?[X]:((curious(X)&funny(X))))<=>(?[X]:((curious(X)<~>~humble(X)))))&
(((~wise(paul)&~kind(paul)))<=>(?[X]:((~rich(X)|~calm(X)... | brave(fred) | [] | null | 0 |
If someone is wise or not humble then someone is wise or not kind. If someone is either humble or brave then susan is not rich or kind. If someone is either not humble or not calm then paul is funny or generous and vice versa. Everyone who is rich is both old and generous. Everyone who is not strong is rich. If mary is... | Alice is not rich. | neutral | ((?[X]:((wise(X)|~humble(X))))=>(?[X]:((wise(X)|~kind(X)))))&
((?[X]:((humble(X)<~>brave(X))))=>((~rich(susan)|kind(susan))))&
((?[X]:((~humble(X)<~>~calm(X))))<=>((funny(paul)|generous(paul))))&
(![X]:(rich(X)=>(old(X)&generous(X))))&
(![X]:(~strong(X)=>rich(X)))&
((tall(mary))=>(?[X]:((rich(X)<~>~happy(X)))))&
(((tal... | ~rich(alice) | [] | null | 0 |
Everyone who is not brave is happy or not kind and vice versa.
Everyone who is not quiet or not rich is not quiet or not brave and vice versa.
If someone is not happy then mary is creative or brave.
If john is quiet then someone is both not generous and creative and vice versa.
If john is kind or not rich then john is ... | Lucy is not old. | neutral | (![X]:(~brave(X)<=>(happy(X)|~kind(X))))&
(![X]:((~quiet(X)|~rich(X))<=>(~quiet(X)|~brave(X))))&
((?[X]:(~happy(X)))=>((creative(mary)|brave(mary))))&
((quiet(john))<=>(?[X]:((~generous(X)&creative(X)))))&
(((kind(john)|~rich(john)))<=>((~creative(john)&old(john))))&
(((quiet(susan)|~brave(susan)))=>((~rich(john)&~gene... | ~old(lucy) | [] | null | 0 |
If susan is kind or not funny then someone is brave and vice versa.
Everyone who is not rich is tall and vice versa.
Everyone who is not tall is creative or patient and vice versa.
If someone is either creative or not humble then someone is not happy or old and vice versa.
Everyone who is both not generous and humble i... | Susan is calm. | neutral | (((kind(susan)|~funny(susan)))<=>(?[X]:(brave(X))))&
(![X]:(~rich(X)<=>tall(X)))&
(![X]:(~tall(X)<=>(creative(X)|patient(X))))&
((?[X]:((creative(X)<~>~humble(X))))<=>(?[X]:((~happy(X)|old(X)))))&
(![X]:((~generous(X)&humble(X))=>(happy(X)&brave(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(~kind(X)&~curious(X))))&
((?[X]:... | calm(susan) | [] | null | 0 |
If alice is not rich then someone is not calm or humble and vice versa.
Everyone who is both creative and not creative is either not humble or not strong.
Everyone who is both not quiet and generous is not generous.
If someone is either wise or not strong then someone is generous or not rich.
Everyone who is both not h... | Alice is not tall. | entailment | ((~rich(alice))<=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((creative(X)&~creative(X))=>(~humble(X)<~>~strong(X))))&
(![X]:((~quiet(X)&generous(X))=>~generous(X)))&
((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:((generous(X)|~rich(X)))))&
(![X]:((~happy(X)&rich(X))<=>(~calm(X)&~strong(X))))&
((?[X]:((~brave(X)|~old(X))))<=>(?[X... | ~tall(alice) | [
"p0",
"p5",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7572009830854403178914116
% SZS output start Proof for 7572009830854403178914116
1. ~rich(alice) <=> ? [X0] : (humble(X0) | ~calm(X0)) [input p0]
6. ? [X0] : (~old(X0) | ~brave(X0)) <=> ? [X0] : ~funny(X0) [input p5]
9. ? [X0] : (strong(X0) | ~funny(X0)) <=> ? [X0] : humble(X0) [input p8]... | 0 |
Everyone who is not rich is generous and vice versa.
Everyone who is happy is not strong or not wise.
Everyone who is not tall or not old is kind and vice versa.
If someone is happy then alice is both not tall and not calm.
Everyone who is happy is both not generous and not patient.
Everyone who is not kind or not stro... | Fred is creative. | entailment | (![X]:(~rich(X)<=>generous(X)))&
(![X]:(happy(X)=>(~strong(X)|~wise(X))))&
(![X]:((~tall(X)|~old(X))<=>kind(X)))&
((?[X]:(happy(X)))=>((~tall(alice)&~calm(alice))))&
(![X]:(happy(X)=>(~generous(X)&~patient(X))))&
(![X]:((~kind(X)|~strong(X))=>(calm(X)<~>rich(X))))&
(![X]:((~happy(X)|~tall(X))<=>(rich(X)&creative(X))))&... | creative(fred) | [
"p0",
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3132744255409117123530708
% SZS output start Proof for 3132744255409117123530708
1. ! [X0] : (~rich(X0) <=> generous(X0)) [input p0]
5. ! [X0] : (happy(X0) => (~patient(X0) & ~generous(X0))) [input p4]
7. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> (creative(X0) & rich(X0))) [input p6]
10. ? [... | 0 |
Everyone who is happy or not old is both not patient and not funny.
Everyone who is both not generous and not humble is happy or quiet and vice versa.
Everyone who is quiet is both not brave and old and vice versa.
If john is patient or not quiet then someone is both patient and not generous and vice versa.
Everyone wh... | Mary is not rich. | neutral | (![X]:((happy(X)|~old(X))=>(~patient(X)&~funny(X))))&
(![X]:((~generous(X)&~humble(X))<=>(happy(X)|quiet(X))))&
(![X]:(quiet(X)<=>(~brave(X)&old(X))))&
(((patient(john)|~quiet(john)))<=>(?[X]:((patient(X)&~generous(X)))))&
(![X]:((~quiet(X)&~happy(X))<=>(generous(X)<~>creative(X))))&
(![X]:(strong(X)<=>(~rich(X)&~gener... | ~rich(mary) | [] | null | 0 |
If alice is kind or rich then someone is either generous or strong.
Everyone who is brave is not calm or happy.
Everyone who is either kind or not quiet is either not strong or calm.
Everyone who is not creative is both wise and not generous.
Everyone who is not wise is both tall and happy.
Everyone who is either creat... | Alice is not curious. | entailment | (((kind(alice)|rich(alice)))=>(?[X]:((generous(X)<~>strong(X)))))&
(![X]:(brave(X)=>(~calm(X)|happy(X))))&
(![X]:((kind(X)<~>~quiet(X))=>(~strong(X)<~>calm(X))))&
(![X]:(~creative(X)=>(wise(X)&~generous(X))))&
(![X]:(~wise(X)=>(tall(X)&happy(X))))&
(![X]:((creative(X)<~>humble(X))=>(strong(X)<~>generous(X))))&
(((tall(... | ~curious(alice) | [
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3142939276103967973618698
% SZS output start Proof for 3142939276103967973618698
15. ! [X0] : ((~tall(X0) <~> ~rich(X0)) <=> (~rich(X0) <~> kind(X0))) [input p14]
16. ! [X0] : ((~tall(X0) & brave(X0)) <=> (~curious(X0) <~> ~kind(X0))) [input p15]
18. tall(alice) [input p17]
25. curious(al... | 0 |
If fred is happy then someone is either not creative or tall.
Everyone who is not happy is rich and vice versa.
If someone is either not creative or curious then someone is not generous or curious and vice versa.
If someone is strong or not rich then fred is either not wise or not happy and vice versa.
If lucy is rich ... | Fred is generous. | neutral | ((happy(fred))=>(?[X]:((~creative(X)<~>tall(X)))))&
(![X]:(~happy(X)<=>rich(X)))&
((?[X]:((~creative(X)<~>curious(X))))<=>(?[X]:((~generous(X)|curious(X)))))&
((?[X]:((strong(X)|~rich(X))))<=>((~wise(fred)<~>~happy(fred))))&
((rich(lucy))=>((~calm(paul)<~>curious(paul))))&
(((calm(fred)&~creative(fred)))<=>((generous(a... | generous(fred) | [] | null | 0 |
If john is both tall and not old then someone is not creative and vice versa.
If someone is humble then someone is not creative.
If someone is not creative then john is not kind and vice versa.
If john is either curious or not calm then susan is both patient and not happy and vice versa.
Everyone who is either not quie... | John is not generous. | entailment | (((tall(john)&~old(john)))<=>(?[X]:(~creative(X))))&
((?[X]:(humble(X)))=>(?[X]:(~creative(X))))&
((?[X]:(~creative(X)))<=>(~kind(john)))&
(((curious(john)<~>~calm(john)))<=>((patient(susan)&~happy(susan))))&
(![X]:((~quiet(X)<~>funny(X))<=>(happy(X)<~>kind(X))))&
(![X]:((old(X)|quiet(X))=>(strong(X)|~strong(X))))&
((h... | ~generous(john) | [
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7426271860881807377783750
% SZS output start Proof for 7426271860881807377783750
8. ! [X0] : (generous(X0) => (~curious(X0) & ~creative(X0))) [input p7]
22. curious(john) & happy(john) [input p21]
24. generous(john) [input hypothesis]
31. ! [X0] : ((~curious(X0) & ~creative(X0)) | ~genero... | 0 |
Everyone who is either not calm or not wise is either happy or not happy and vice versa.
Everyone who is either generous or not old is not patient or not kind and vice versa.
If lucy is either curious or brave then paul is both rich and happy and vice versa.
If someone is both not strong and generous then john is eithe... | Lucy is not kind. | neutral | (![X]:((~calm(X)<~>~wise(X))<=>(happy(X)<~>~happy(X))))&
(![X]:((generous(X)<~>~old(X))<=>(~patient(X)|~kind(X))))&
(((curious(lucy)<~>brave(lucy)))<=>((rich(paul)&happy(paul))))&
((?[X]:((~strong(X)&generous(X))))=>((brave(john)<~>~generous(john))))&
(![X]:(~curious(X)=>(~tall(X)&~funny(X))))&
(![X]:(~wise(X)=>(~old(X... | ~kind(lucy) | [] | null | 0 |
If someone is not patient or not creative then susan is both tall and humble and vice versa. Everyone who is happy is strong or not quiet. If paul is strong or not tall then someone is not funny. If alice is happy or old then mary is patient and vice versa. Everyone who is not strong is either not strong or not quiet a... | Mary is not brave. | neutral | ((?[X]:((~patient(X)|~creative(X))))<=>((tall(susan)&humble(susan))))&
(![X]:(happy(X)=>(strong(X)|~quiet(X))))&
(((strong(paul)|~tall(paul)))=>(?[X]:(~funny(X))))&
(((happy(alice)|old(alice)))<=>(patient(mary)))&
(![X]:(~strong(X)<=>(~strong(X)<~>~quiet(X))))&
(![X]:((~brave(X)&~tall(X))<=>generous(X)))&
((?[X]:(~stro... | ~brave(mary) | [] | null | 0 |
If john is both quiet and rich then someone is either not patient or not humble and vice versa. Everyone who is either brave or quiet is not humble and vice versa. If someone is both not tall and creative then someone is either not calm or not funny and vice versa. Everyone who is not calm is either strong or not tall ... | Paul is calm. | entailment | (((quiet(john)&rich(john)))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(![X]:((brave(X)<~>quiet(X))<=>~humble(X)))&
((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((~calm(X)<~>~funny(X)))))&
(![X]:(~calm(X)<=>(strong(X)<~>~tall(X))))&
((~curious(paul))=>((old(alice)|quiet(alice))))&
(((~kind(alice)|~happy(alice)))=>((~creative(... | calm(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2545811045402093810406690
% SZS output start Proof for 2545811045402093810406690
7. ? [X0] : (~calm(X0) | ~rich(X0)) <=> ? [X0] : (~old(X0) & old(X0)) [input p6]
22. ~calm(paul) [input hypothesis]
24. ? [X0] : (~calm(X0) | ~rich(X0)) <=> ? [X1] : (~old(X1) & old(X1)) [rectify 7]
47. (? [X... | 0 |
If someone is not quiet then someone is both rich and not patient. If someone is not funny then paul is rich. If someone is rich or generous then alice is both old and not brave and vice versa. Everyone who is not quiet or not strong is both quiet and not generous. Everyone who is either not generous or not wise is not... | Paul is not happy. | contradiction | ((?[X]:(~quiet(X)))=>(?[X]:((rich(X)&~patient(X)))))&
((?[X]:(~funny(X)))=>(rich(paul)))&
((?[X]:((rich(X)|generous(X))))<=>((old(alice)&~brave(alice))))&
(![X]:((~quiet(X)|~strong(X))=>(quiet(X)&~generous(X))))&
(![X]:((~generous(X)<~>~wise(X))<=>~curious(X)))&
(![X]:((kind(X)|~creative(X))=>(happy(X)&generous(X))))&
... | ~happy(paul) | [
"p3",
"p5",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 775691281632922196558208
% SZS output start Proof for 775691281632922196558208
4. ! [X0] : ((~strong(X0) | ~quiet(X0)) => (~generous(X0) & quiet(X0))) [input p3]
6. ! [X0] : ((~creative(X0) | kind(X0)) => (generous(X0) & happy(X0))) [input p5]
10. ! [X0] : ((~funny(X0) | ~generous(X0)) <=... | 0 |
Everyone who is humble is creative or not brave.
Everyone who is either not patient or funny is patient and vice versa.
Everyone who is not happy is not kind or strong and vice versa.
Everyone who is both not generous and brave is not humble or not brave.
Everyone who is calm or not calm is both rich and strong and vic... | Paul is not old. | contradiction | (![X]:(humble(X)=>(creative(X)|~brave(X))))&
(![X]:((~patient(X)<~>funny(X))<=>patient(X)))&
(![X]:(~happy(X)<=>(~kind(X)|strong(X))))&
(![X]:((~generous(X)&brave(X))=>(~humble(X)|~brave(X))))&
(![X]:((calm(X)|~calm(X))<=>(rich(X)&strong(X))))&
(![X]:((patient(X)&~kind(X))<=>(~curious(X)&~old(X))))&
(![X]:((~curious(X)... | ~old(paul) | [
"p4",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8511457737868243404793389
% SZS output start Proof for 8511457737868243404793389
5. ! [X0] : ((~calm(X0) | calm(X0)) <=> (strong(X0) & rich(X0))) [input p4]
13. ! [X0] : (~curious(X0) => old(X0)) [input p12]
21. curious(paul) <~> rich(paul) [input p20]
24. ~old(paul) [input hypothesis]
33... | 0 |
Everyone who is either not happy or not quiet is either not rich or not funny.
Everyone who is both quiet and not quiet is rich or not funny.
Everyone who is strong is calm or strong.
Everyone who is funny is either not curious or quiet and vice versa.
Everyone who is not kind is not happy or humble.
If fred is either ... | Fred is old. | neutral | (![X]:((~happy(X)<~>~quiet(X))=>(~rich(X)<~>~funny(X))))&
(![X]:((quiet(X)&~quiet(X))=>(rich(X)|~funny(X))))&
(![X]:(strong(X)=>(calm(X)|strong(X))))&
(![X]:(funny(X)<=>(~curious(X)<~>quiet(X))))&
(![X]:(~kind(X)=>(~happy(X)|humble(X))))&
(((~patient(fred)<~>kind(fred)))<=>(?[X]:(rich(X))))&
(((~funny(lucy)<~>~old(lucy... | old(fred) | [] | null | 0 |
Everyone who is both not humble and not creative is kind and vice versa.
If mary is both curious and not kind then fred is not patient and vice versa.
Everyone who is not tall or not humble is both not generous and creative.
If someone is not funny then alice is either not brave or kind and vice versa.
Everyone who is ... | John is curious. | neutral | (![X]:((~humble(X)&~creative(X))<=>kind(X)))&
(((curious(mary)&~kind(mary)))<=>(~patient(fred)))&
(![X]:((~tall(X)|~humble(X))=>(~generous(X)&creative(X))))&
((?[X]:(~funny(X)))<=>((~brave(alice)<~>kind(alice))))&
(![X]:((~patient(X)|~old(X))<=>(~kind(X)|strong(X))))&
(![X]:((brave(X)<~>patient(X))=>(kind(X)&patient(X)... | curious(john) | [] | null | 0 |
If alice is not generous or humble then someone is both tall and not quiet and vice versa.
Everyone who is both not funny and not quiet is not kind or not tall.
Everyone who is both not funny and strong is either old or funny.
If someone is both not generous and happy then fred is either not humble or not happy and vic... | Alice is not patient. | entailment | (((~generous(alice)|humble(alice)))<=>(?[X]:((tall(X)&~quiet(X)))))&
(![X]:((~funny(X)&~quiet(X))=>(~kind(X)|~tall(X))))&
(![X]:((~funny(X)&strong(X))=>(old(X)<~>funny(X))))&
((?[X]:((~generous(X)&happy(X))))<=>((~humble(fred)<~>~happy(fred))))&
(![X]:((~strong(X)&patient(X))<=>kind(X)))&
(![X]:((tall(X)<~>brave(X))<=>... | ~patient(alice) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2253880581247096320207389
% SZS output start Proof for 2253880581247096320207389
14. ! [X0] : ((strong(X0) & humble(X0)) <=> (curious(X0) | ~curious(X0))) [input p13]
15. ! [X0] : ((humble(X0) | kind(X0)) => (calm(X0) & ~patient(X0))) [input p14]
23. patient(alice) [input hypothesis]
42. ... | 0 |
If someone is happy or humble then alice is not quiet.
Everyone who is either calm or not humble is either wise or calm and vice versa.
If someone is either not tall or humble then someone is not rich and vice versa.
If someone is tall or rich then alice is calm and vice versa.
If lucy is both generous and not quiet th... | Fred is tall. | contradiction | ((?[X]:((happy(X)|humble(X))))=>(~quiet(alice)))&
(![X]:((calm(X)<~>~humble(X))<=>(wise(X)<~>calm(X))))&
((?[X]:((~tall(X)<~>humble(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((tall(X)|rich(X))))<=>(calm(alice)))&
(((generous(lucy)&~quiet(lucy)))=>(?[X]:((quiet(X)&kind(X)))))&
(((~brave(susan)&creative(susan)))=>(~rich(fred)))... | tall(fred) | [
"p1",
"p3",
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7692593992474021018956982
% SZS output start Proof for 7692593992474021018956982
2. ! [X0] : ((calm(X0) <~> ~humble(X0)) <=> (wise(X0) <~> calm(X0))) [input p1]
4. ? [X0] : (rich(X0) | tall(X0)) <=> calm(alice) [input p3]
7. ! [X0] : ((calm(X0) & creative(X0)) => ~creative(X0)) [input p6]... | 0 |
Everyone who is old or brave is both strong and not brave.
If someone is wise or brave then susan is funny and vice versa.
If paul is not rich then someone is both not creative and creative and vice versa.
Everyone who is not rich is both not old and not patient.
If someone is both not funny and not kind then alice is ... | Lucy is wise. | contradiction | (![X]:((old(X)|brave(X))=>(strong(X)&~brave(X))))&
((?[X]:((wise(X)|brave(X))))<=>(funny(susan)))&
((~rich(paul))<=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:(~rich(X)=>(~old(X)&~patient(X))))&
((?[X]:((~funny(X)&~kind(X))))=>((~creative(alice)&~old(alice))))&
(![X]:((~humble(X)&curious(X))<=>(~funny(X)|~strong(X))))... | wise(lucy) | [
"p3",
"p12",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 117257636286418762087102
% SZS output start Proof for 117257636286418762087102
4. ! [X0] : (~rich(X0) => (~patient(X0) & ~old(X0))) [input p3]
13. ? [X0] : (~old(X0) | ~tall(X0)) <=> ~patient(lucy) [input p12]
20. ~wise(lucy) | ~rich(lucy) [input p19]
22. patient(lucy) [input p21]
25. wis... | 0 |
Everyone who is both not old and kind is both not rich and not wise and vice versa.
Everyone who is tall is kind and vice versa.
If mary is not curious or calm then mary is either not calm or not patient.
Everyone who is both old and quiet is not strong.
Everyone who is not tall or not kind is quiet and vice versa.
Eve... | Fred is happy. | neutral | (![X]:((~old(X)&kind(X))<=>(~rich(X)&~wise(X))))&
(![X]:(tall(X)<=>kind(X)))&
(((~curious(mary)|calm(mary)))=>((~calm(mary)<~>~patient(mary))))&
(![X]:((old(X)&quiet(X))=>~strong(X)))&
(![X]:((~tall(X)|~kind(X))<=>quiet(X)))&
(![X]:((~old(X)|~rich(X))=>curious(X)))&
((?[X]:((kind(X)<~>~calm(X))))=>((tall(paul)<~>~funny... | happy(fred) | [] | null | 0 |
Everyone who is either wise or strong is both not humble and quiet and vice versa.
Everyone who is happy is creative or quiet and vice versa.
If someone is either not strong or not tall then someone is calm or wise.
If someone is not rich or not kind then someone is both generous and strong and vice versa.
Everyone who... | Paul is calm. | neutral | (![X]:((wise(X)<~>strong(X))<=>(~humble(X)&quiet(X))))&
(![X]:(happy(X)<=>(creative(X)|quiet(X))))&
((?[X]:((~strong(X)<~>~tall(X))))=>(?[X]:((calm(X)|wise(X)))))&
((?[X]:((~rich(X)|~kind(X))))<=>(?[X]:((generous(X)&strong(X)))))&
(![X]:((funny(X)&~curious(X))<=>(patient(X)<~>wise(X))))&
((?[X]:((old(X)|rich(X))))=>(~w... | calm(paul) | [] | null | 0 |
Everyone who is strong is either happy or not old.
Everyone who is not patient is both rich and curious.
Everyone who is either happy or tall is not creative or creative and vice versa.
Everyone who is both not humble and tall is either patient or old and vice versa.
If someone is wise then susan is both old and tall.
... | Susan is creative. | neutral | (![X]:(strong(X)=>(happy(X)<~>~old(X))))&
(![X]:(~patient(X)=>(rich(X)&curious(X))))&
(![X]:((happy(X)<~>tall(X))<=>(~creative(X)|creative(X))))&
(![X]:((~humble(X)&tall(X))<=>(patient(X)<~>old(X))))&
((?[X]:(wise(X)))=>((old(susan)&tall(susan))))&
(![X]:(~quiet(X)<=>(~tall(X)|~generous(X))))&
(![X]:((~brave(X)<~>curio... | creative(susan) | [] | null | 0 |
Everyone who is rich or generous is quiet or not tall. Everyone who is either happy or kind is either not quiet or not happy and vice versa. If alice is not generous then someone is either old or not happy. Everyone who is either brave or not generous is either not curious or rich. Everyone who is both strong and brave... | Susan is not happy. | neutral | (![X]:((rich(X)|generous(X))=>(quiet(X)|~tall(X))))&
(![X]:((happy(X)<~>kind(X))<=>(~quiet(X)<~>~happy(X))))&
((~generous(alice))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:((brave(X)<~>~generous(X))=>(~curious(X)<~>rich(X))))&
(![X]:((strong(X)&brave(X))<=>brave(X)))&
((?[X]:((~wise(X)<~>strong(X))))<=>(?[X]:(~calm(X))))&... | ~happy(susan) | [] | null | 0 |
If alice is either wise or not patient then fred is both old and not funny and vice versa.
Everyone who is not generous or not quiet is both rich and kind and vice versa.
If paul is not quiet or kind then someone is both not creative and not calm and vice versa.
If paul is both not quiet and quiet then paul is both not... | John is not quiet. | contradiction | (((wise(alice)<~>~patient(alice)))<=>((old(fred)&~funny(fred))))&
(![X]:((~generous(X)|~quiet(X))<=>(rich(X)&kind(X))))&
(((~quiet(paul)|kind(paul)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(((~quiet(paul)&quiet(paul)))<=>((~creative(paul)&brave(paul))))&
(![X]:((generous(X)|~patient(X))<=>~happy(X)))&
((~wise(alice))=>((... | ~quiet(john) | [
"p1",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3026799248851413116354815
% SZS output start Proof for 3026799248851413116354815
2. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (kind(X0) & rich(X0))) [input p1]
8. ? [X0] : (humble(X0) | ~old(X0)) <=> humble(lucy) [input p7]
9. ? [X0] : (old(X0) | ~strong(X0)) <=> (~creative(john) & ~kind... | 0 |
If someone is not old or not kind then alice is not humble or tall.
Everyone who is patient or not curious is generous or not wise and vice versa.
Everyone who is either not tall or not funny is kind or brave and vice versa.
If mary is either not tall or not generous then someone is brave or not happy and vice versa.
I... | Alice is not humble. | neutral | ((?[X]:((~old(X)|~kind(X))))=>((~humble(alice)|tall(alice))))&
(![X]:((patient(X)|~curious(X))<=>(generous(X)|~wise(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>(kind(X)|brave(X))))&
(((~tall(mary)<~>~generous(mary)))<=>(?[X]:((brave(X)|~happy(X)))))&
((?[X]:((funny(X)<~>old(X))))=>((strong(paul)<~>humble(paul))))&
((?[X]:((... | ~humble(alice) | [] | null | 0 |
If mary is not generous then someone is both not brave and calm. If someone is curious or quiet then someone is curious and vice versa. If lucy is either brave or quiet then someone is both funny and rich and vice versa. Everyone who is either not wise or curious is not wise or not strong and vice versa. Everyone who i... | Alice is curious. | contradiction | ((~generous(mary))=>(?[X]:((~brave(X)&calm(X)))))&
((?[X]:((curious(X)|quiet(X))))<=>(?[X]:(curious(X))))&
(((brave(lucy)<~>quiet(lucy)))<=>(?[X]:((funny(X)&rich(X)))))&
(![X]:((~wise(X)<~>curious(X))<=>(~wise(X)|~strong(X))))&
(![X]:((calm(X)|rich(X))<=>(~creative(X)|~rich(X))))&
(![X]:((happy(X)|creative(X))=>(curiou... | curious(alice) | [
"p4",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8304703807345960565302839
% SZS output start Proof for 8304703807345960565302839
5. ! [X0] : ((rich(X0) | calm(X0)) <=> (~rich(X0) | ~creative(X0))) [input p4]
9. ! [X0] : ((~calm(X0) <~> ~curious(X0)) => (calm(X0) & ~funny(X0))) [input p8]
11. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~st... | 0 |
Everyone who is calm is either creative or calm. Everyone who is both calm and generous is both not wise and curious and vice versa. If susan is either brave or not kind then someone is both not humble and old. If fred is not happy or not generous then mary is both not creative and happy. Everyone who is funny or wise ... | Mary is not wise. | contradiction | (![X]:(calm(X)=>(creative(X)<~>calm(X))))&
(![X]:((calm(X)&generous(X))<=>(~wise(X)&curious(X))))&
(((brave(susan)<~>~kind(susan)))=>(?[X]:((~humble(X)&old(X)))))&
(((~happy(fred)|~generous(fred)))=>((~creative(mary)&happy(mary))))&
(![X]:((funny(X)|wise(X))<=>(brave(X)&curious(X))))&
((?[X]:((rich(X)&~patient(X))))<=>... | ~wise(mary) | [
"p0",
"p1",
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7334964134916170329832708
% SZS output start Proof for 7334964134916170329832708
1. ! [X0] : (calm(X0) => (creative(X0) <~> calm(X0))) [input p0]
2. ! [X0] : ((generous(X0) & calm(X0)) <=> (curious(X0) & ~wise(X0))) [input p1]
5. ! [X0] : ((wise(X0) | funny(X0)) <=> (curious(X0) & brave(X... | 0 |
Everyone who is either creative or not rich is both not old and old. Everyone who is both not curious and not happy is generous or not wise. Everyone who is both not strong and not generous is calm and vice versa. Everyone who is not humble or patient is not wise or brave and vice versa. If someone is not quiet or not ... | Lucy is not calm. | entailment | (![X]:((creative(X)<~>~rich(X))=>(~old(X)&old(X))))&
(![X]:((~curious(X)&~happy(X))=>(generous(X)|~wise(X))))&
(![X]:((~strong(X)&~generous(X))<=>calm(X)))&
(![X]:((~humble(X)|patient(X))<=>(~wise(X)|brave(X))))&
((?[X]:((~quiet(X)|~wise(X))))=>((~humble(mary)&humble(mary))))&
((?[X]:((~old(X)&tall(X))))<=>(?[X]:((brav... | ~calm(lucy) | [
"p2",
"p4",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7066987900745170256995214
% SZS output start Proof for 7066987900745170256995214
3. ! [X0] : ((~generous(X0) & ~strong(X0)) <=> calm(X0)) [input p2]
5. ? [X0] : (~wise(X0) | ~quiet(X0)) => (humble(mary) & ~humble(mary)) [input p4]
9. ! [X0] : ((humble(X0) | patient(X0)) => ~kind(X0)) [inp... | 0 |
Everyone who is either wise or calm is wise and vice versa.
If alice is not rich or not generous then susan is either old or not creative and vice versa.
Everyone who is both funny and humble is creative or funny and vice versa.
Everyone who is strong or not humble is either rich or not strong.
Everyone who is both cal... | Paul is rich. | entailment | (![X]:((wise(X)<~>calm(X))<=>wise(X)))&
(((~rich(alice)|~generous(alice)))<=>((old(susan)<~>~creative(susan))))&
(![X]:((funny(X)&humble(X))<=>(creative(X)|funny(X))))&
(![X]:((strong(X)|~humble(X))=>(rich(X)<~>~strong(X))))&
(![X]:((calm(X)&quiet(X))<=>~brave(X)))&
(((happy(alice)&strong(alice)))=>((~quiet(fred)&quiet... | rich(paul) | [
"p3",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5548623469707108375657710
% SZS output start Proof for 5548623469707108375657710
4. ! [X0] : ((~humble(X0) | strong(X0)) => (rich(X0) <~> ~strong(X0))) [input p3]
8. ! [X0] : ((~generous(X0) & curious(X0)) <=> (strong(X0) <~> ~quiet(X0))) [input p7]
11. ! [X0] : ((~kind(X0) & ~quiet(X0)) ... | 0 |
Everyone who is either not wise or not patient is not old and vice versa.
Everyone who is not quiet is both not patient and not curious.
Everyone who is not happy or not rich is curious and vice versa.
If someone is strong or not brave then alice is not funny or not humble.
Everyone who is both old and not old is not c... | Paul is not humble. | entailment | (![X]:((~wise(X)<~>~patient(X))<=>~old(X)))&
(![X]:(~quiet(X)=>(~patient(X)&~curious(X))))&
(![X]:((~happy(X)|~rich(X))<=>curious(X)))&
((?[X]:((strong(X)|~brave(X))))=>((~funny(alice)|~humble(alice))))&
(![X]:((old(X)&~old(X))<=>(~creative(X)|~wise(X))))&
((generous(alice))<=>((strong(paul)&old(paul))))&
(![X]:(~funny... | ~humble(paul) | [
"p0",
"p2",
"p4",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8705428466225253189796327
% SZS output start Proof for 8705428466225253189796327
1. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> ~old(X0)) [input p0]
3. ! [X0] : ((~rich(X0) | ~happy(X0)) <=> curious(X0)) [input p2]
5. ! [X0] : ((~old(X0) & old(X0)) <=> (~wise(X0) | ~creative(X0))) [input p... | 0 |
Everyone who is not strong or not generous is not humble or not funny. Everyone who is not kind is both not curious and not patient. If someone is brave then susan is both kind and not kind. Everyone who is curious is not creative and vice versa. Everyone who is not patient or not rich is quiet or not old and vice vers... | Susan is not curious. | contradiction | (![X]:((~strong(X)|~generous(X))=>(~humble(X)|~funny(X))))&
(![X]:(~kind(X)=>(~curious(X)&~patient(X))))&
((?[X]:(brave(X)))=>((kind(susan)&~kind(susan))))&
(![X]:(curious(X)<=>~creative(X)))&
(![X]:((~patient(X)|~rich(X))<=>(quiet(X)|~old(X))))&
((?[X]:((quiet(X)<~>curious(X))))<=>(?[X]:((~old(X)<~>calm(X)))))&
(![X]:... | ~curious(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4215332345973936473802982
% SZS output start Proof for 4215332345973936473802982
8. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (~funny(X0) <~> funny(X0))) [input p7]
22. ~curious(susan) [input hypothesis]
47. ! [X0] : (((curious(X0) & ~brave(X0)) | ((~funny(X0) | ~funny(X0)) & (funny(X0) | ... | 0 |
Everyone who is brave or old is not calm. If fred is either not strong or not wise then someone is both wise and brave and vice versa. If someone is either not brave or not rich then fred is not rich or calm. Everyone who is not creative is creative or not calm. Everyone who is either creative or not rich is not patien... | Mary is not funny. | entailment | (![X]:((brave(X)|old(X))=>~calm(X)))&
(((~strong(fred)<~>~wise(fred)))<=>(?[X]:((wise(X)&brave(X)))))&
((?[X]:((~brave(X)<~>~rich(X))))=>((~rich(fred)|calm(fred))))&
(![X]:(~creative(X)=>(creative(X)|~calm(X))))&
(![X]:((creative(X)<~>~rich(X))<=>(~patient(X)|kind(X))))&
((?[X]:(~brave(X)))=>(?[X]:(~humble(X))))&
(![X]... | ~funny(mary) | [
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 285804604922532437950245
% SZS output start Proof for 285804604922532437950245
7. ! [X0] : ((funny(X0) | old(X0)) <=> (~generous(X0) & ~patient(X0))) [input p6]
18. ~calm(mary) & patient(mary) [input p17]
25. funny(mary) [input hypothesis]
50. ! [X0] : (((funny(X0) | old(X0)) | (generous(... | 0 |
If someone is both not creative and generous then someone is both wise and not kind and vice versa.
Everyone who is quiet or not funny is both generous and not old and vice versa.
If john is rich then mary is either not brave or not wise.
If alice is not calm or funny then susan is happy or creative.
If paul is either ... | Paul is not quiet. | entailment | ((?[X]:((~creative(X)&generous(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((quiet(X)|~funny(X))<=>(generous(X)&~old(X))))&
((rich(john))=>((~brave(mary)<~>~wise(mary))))&
(((~calm(alice)|funny(alice)))=>((happy(susan)|creative(susan))))&
(((~old(paul)<~>~wise(paul)))<=>(?[X]:((funny(X)&~strong(X)))))&
(![X]:((quiet(X)... | ~quiet(paul) | [
"p1",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 928792198899795637893004
% SZS output start Proof for 928792198899795637893004
2. ! [X0] : ((~funny(X0) | quiet(X0)) <=> (~old(X0) & generous(X0))) [input p1]
7. ! [X0] : ((generous(X0) & ~kind(X0)) <=> generous(X0)) [input p6]
16. ! [X0] : (~kind(X0) => (~generous(X0) & creative(X0))) [i... | 0 |
Everyone who is not wise or curious is strong or not humble and vice versa.
Everyone who is either not tall or strong is either rich or not tall and vice versa.
Everyone who is both calm and old is not tall and vice versa.
If someone is patient or not calm then someone is kind.
If someone is not generous or wise then l... | Susan is not wise. | entailment | (![X]:((~wise(X)|curious(X))<=>(strong(X)|~humble(X))))&
(![X]:((~tall(X)<~>strong(X))<=>(rich(X)<~>~tall(X))))&
(![X]:((calm(X)&old(X))<=>~tall(X)))&
((?[X]:((patient(X)|~calm(X))))=>(?[X]:(kind(X))))&
((?[X]:((~generous(X)|wise(X))))=>((~brave(lucy)<~>humble(lucy))))&
((?[X]:(kind(X)))<=>(?[X]:((brave(X)<~>~tall(X)))... | ~wise(susan) | [
"p2",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2372908737905798553186319
% SZS output start Proof for 2372908737905798553186319
3. ! [X0] : ((old(X0) & calm(X0)) <=> ~tall(X0)) [input p2]
10. ! [X0] : ((tall(X0) | ~wise(X0)) => (~wise(X0) & kind(X0))) [input p9]
17. ~old(susan) [input p16]
24. wise(susan) [input hypothesis]
35. ! [X0]... | 0 |
If someone is not humble or not funny then lucy is both wise and not creative and vice versa.
Everyone who is not tall or funny is both not happy and not rich and vice versa.
If mary is not old then john is calm and vice versa.
Everyone who is not brave is rich or not patient.
Everyone who is not wise is either not bra... | Paul is quiet. | neutral | ((?[X]:((~humble(X)|~funny(X))))<=>((wise(lucy)&~creative(lucy))))&
(![X]:((~tall(X)|funny(X))<=>(~happy(X)&~rich(X))))&
((~old(mary))<=>(calm(john)))&
(![X]:(~brave(X)=>(rich(X)|~patient(X))))&
(![X]:(~wise(X)<=>(~brave(X)<~>~wise(X))))&
(![X]:((funny(X)&strong(X))<=>quiet(X)))&
(![X]:((~wise(X)|~generous(X))=>(~stron... | quiet(paul) | [] | null | 0 |
If paul is not rich or tall then mary is not creative and vice versa.
If lucy is not generous or kind then someone is both generous and not creative and vice versa.
Everyone who is either not humble or tall is either not wise or tall.
Everyone who is both not wise and not tall is both brave and kind and vice versa.
If ... | Mary is funny. | entailment | (((~rich(paul)|tall(paul)))<=>(~creative(mary)))&
(((~generous(lucy)|kind(lucy)))<=>(?[X]:((generous(X)&~creative(X)))))&
(![X]:((~humble(X)<~>tall(X))=>(~wise(X)<~>tall(X))))&
(![X]:((~wise(X)&~tall(X))<=>(brave(X)&kind(X))))&
(((rich(paul)<~>~rich(paul)))<=>((patient(john)&calm(john))))&
(![X]:(funny(X)<=>(~rich(X)&~... | funny(mary) | [
"p5",
"p9",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3471120112006303248504735
% SZS output start Proof for 3471120112006303248504735
6. ! [X0] : (funny(X0) <=> (~tall(X0) & ~rich(X0))) [input p5]
10. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> (~tall(X0) | generous(X0))) [input p9]
15. ! [X0] : ((~happy(X0) <~> ~generous(X0)) <=> (~rich(... | 0 |
If someone is either not rich or not funny then fred is both not rich and not humble.
If fred is old or kind then mary is both generous and not tall.
If mary is either not patient or not wise then fred is both generous and not calm and vice versa.
Everyone who is not tall or patient is funny.
Everyone who is either not... | Mary is patient. | contradiction | ((?[X]:((~rich(X)<~>~funny(X))))=>((~rich(fred)&~humble(fred))))&
(((old(fred)|kind(fred)))=>((generous(mary)&~tall(mary))))&
(((~patient(mary)<~>~wise(mary)))<=>((generous(fred)&~calm(fred))))&
(![X]:((~tall(X)|patient(X))=>funny(X)))&
(![X]:((~funny(X)<~>patient(X))<=>(brave(X)&~generous(X))))&
(![X]:((~generous(X)<~... | patient(mary) | [
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4972949965970067417419663
% SZS output start Proof for 4972949965970067417419663
4. ! [X0] : ((patient(X0) | ~tall(X0)) => funny(X0)) [input p3]
5. ! [X0] : ((~funny(X0) <~> patient(X0)) <=> (~generous(X0) & brave(X0))) [input p4]
15. ! [X0] : ((brave(X0) <~> patient(X0)) <=> patient(X0))... | 0 |
If someone is not funny then someone is either quiet or funny and vice versa.
If someone is both not wise and not creative then paul is strong and vice versa.
Everyone who is both not brave and not creative is not rich or not wise.
Everyone who is wise or old is tall or not tall and vice versa.
If someone is strong the... | Paul is not happy. | entailment | ((?[X]:(~funny(X)))<=>(?[X]:((quiet(X)<~>funny(X)))))&
((?[X]:((~wise(X)&~creative(X))))<=>(strong(paul)))&
(![X]:((~brave(X)&~creative(X))=>(~rich(X)|~wise(X))))&
(![X]:((wise(X)|old(X))<=>(tall(X)|~tall(X))))&
((?[X]:(strong(X)))=>(~curious(alice)))&
((calm(john))=>((funny(alice)|~happy(alice))))&
(![X]:(quiet(X)<=>(... | ~happy(paul) | [
"p4",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3715454850952078021249135
% SZS output start Proof for 3715454850952078021249135
5. ? [X0] : strong(X0) => ~curious(alice) [input p4]
8. ! [X0] : ((strong(X0) <~> ~patient(X0)) <=> ~happy(X0)) [input p7]
10. ! [X0] : ((~happy(X0) | kind(X0)) => (strong(X0) <~> happy(X0))) [input p9]
15. ?... | 0 |
If alice is humble or patient then someone is both not quiet and brave.
If someone is not curious then mary is both wise and not wise.
If someone is humble then paul is both humble and not patient and vice versa.
Everyone who is either creative or humble is either quiet or kind.
If john is not funny or not happy then p... | Mary is funny. | contradiction | (((humble(alice)|patient(alice)))=>(?[X]:((~quiet(X)&brave(X)))))&
((?[X]:(~curious(X)))=>((wise(mary)&~wise(mary))))&
((?[X]:(humble(X)))<=>((humble(paul)&~patient(paul))))&
(![X]:((creative(X)<~>humble(X))=>(quiet(X)<~>kind(X))))&
(((~funny(john)|~happy(john)))=>((humble(paul)&rich(paul))))&
((?[X]:((~kind(X)|kind(X)... | funny(mary) | [
"p2",
"p6",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 829441199571615533492375
% SZS output start Proof for 829441199571615533492375
3. ? [X0] : humble(X0) <=> (~patient(paul) & humble(paul)) [input p2]
7. ! [X0] : (~kind(X0) => (patient(X0) <~> quiet(X0))) [input p6]
10. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (kind(X0) & ~brave(X0))) [inp... | 0 |
If mary is either wise or not curious then paul is curious or quiet and vice versa. Everyone who is not creative is patient or funny and vice versa. Everyone who is both not wise and brave is both happy and wise and vice versa. Everyone who is either not tall or happy is old or humble. Everyone who is creative or not g... | Lucy is calm. | neutral | (((wise(mary)<~>~curious(mary)))<=>((curious(paul)|quiet(paul))))&
(![X]:(~creative(X)<=>(patient(X)|funny(X))))&
(![X]:((~wise(X)&brave(X))<=>(happy(X)&wise(X))))&
(![X]:((~tall(X)<~>happy(X))=>(old(X)|humble(X))))&
(![X]:((creative(X)|~generous(X))<=>(happy(X)<~>~calm(X))))&
((?[X]:((strong(X)<~>~curious(X))))=>((cre... | calm(lucy) | [] | null | 0 |
If lucy is old or not generous then paul is either funny or not quiet.
Everyone who is not funny is patient or tall.
Everyone who is either not creative or not quiet is either rich or not brave and vice versa.
If someone is generous then someone is both not creative and old.
Everyone who is generous or not funny is eit... | Fred is patient. | entailment | (((old(lucy)|~generous(lucy)))=>((funny(paul)<~>~quiet(paul))))&
(![X]:(~funny(X)=>(patient(X)|tall(X))))&
(![X]:((~creative(X)<~>~quiet(X))<=>(rich(X)<~>~brave(X))))&
((?[X]:(generous(X)))=>(?[X]:((~creative(X)&old(X)))))&
(![X]:((generous(X)|~funny(X))<=>(~calm(X)<~>~humble(X))))&
(![X]:((happy(X)|brave(X))<=>(~creat... | patient(fred) | [
"p2",
"p5",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8195291901534956998293549
% SZS output start Proof for 8195291901534956998293549
3. ! [X0] : ((~creative(X0) <~> ~quiet(X0)) <=> (rich(X0) <~> ~brave(X0))) [input p2]
6. ! [X0] : ((brave(X0) | happy(X0)) <=> (~rich(X0) & ~creative(X0))) [input p5]
9. (quiet(alice) & brave(alice)) <=> ? [X... | 0 |
Everyone who is not creative or not calm is funny or not funny.
If someone is generous then alice is both old and quiet.
If fred is either creative or not brave then someone is either not happy or humble and vice versa.
If mary is not humble or generous then lucy is both not brave and rich and vice versa.
If someone is... | Paul is old. | neutral | (![X]:((~creative(X)|~calm(X))=>(funny(X)|~funny(X))))&
((?[X]:(generous(X)))=>((old(alice)&quiet(alice))))&
(((creative(fred)<~>~brave(fred)))<=>(?[X]:((~happy(X)<~>humble(X)))))&
(((~humble(mary)|generous(mary)))<=>((~brave(lucy)&rich(lucy))))&
((?[X]:((generous(X)|~funny(X))))<=>((old(john)<~>~happy(john))))&
(![X]:... | old(paul) | [] | null | 0 |
Everyone who is calm or old is happy and vice versa.
Everyone who is humble is both humble and kind and vice versa.
If someone is both not calm and not quiet then someone is both creative and not happy and vice versa.
Everyone who is not creative or not tall is wise or quiet.
If fred is not generous or not happy then a... | Fred is not rich. | neutral | (![X]:((calm(X)|old(X))<=>happy(X)))&
(![X]:(humble(X)<=>(humble(X)&kind(X))))&
((?[X]:((~calm(X)&~quiet(X))))<=>(?[X]:((creative(X)&~happy(X)))))&
(![X]:((~creative(X)|~tall(X))=>(wise(X)|quiet(X))))&
(((~generous(fred)|~happy(fred)))<=>((curious(alice)<~>~curious(alice))))&
(((calm(john)|~rich(john)))=>(?[X]:((~quiet... | ~rich(fred) | [] | null | 0 |
Everyone who is not strong is not tall or not funny and vice versa. If someone is both patient and tall then alice is tall and vice versa. Everyone who is not creative or calm is not humble or not wise and vice versa. If someone is both creative and not quiet then someone is either creative or wise and vice versa. Ever... | Paul is not patient. | contradiction | (![X]:(~strong(X)<=>(~tall(X)|~funny(X))))&
((?[X]:((patient(X)&tall(X))))<=>(tall(alice)))&
(![X]:((~creative(X)|calm(X))<=>(~humble(X)|~wise(X))))&
((?[X]:((creative(X)&~quiet(X))))<=>(?[X]:((creative(X)<~>wise(X)))))&
(![X]:((~calm(X)<~>~curious(X))=>(~funny(X)&calm(X))))&
((?[X]:(~funny(X)))<=>(?[X]:(kind(X))))&
(!... | ~patient(paul) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 973371279809717987127461
% SZS output start Proof for 973371279809717987127461
16. ? [X0] : ~patient(X0) <=> generous(alice) [input p15]
17. ~generous(alice) [input p16]
24. ~patient(paul) [input hypothesis]
67. (? [X0] : ~patient(X0) | ~generous(alice)) & (generous(alice) | ! [X0] : pati... | 0 |
If someone is rich then paul is either not strong or not curious.
Everyone who is either not patient or not tall is either not tall or not kind and vice versa.
Everyone who is either not generous or old is calm.
If someone is humble then alice is either not generous or not kind and vice versa.
Everyone who is patient i... | Fred is not generous. | entailment | ((?[X]:(rich(X)))=>((~strong(paul)<~>~curious(paul))))&
(![X]:((~patient(X)<~>~tall(X))<=>(~tall(X)<~>~kind(X))))&
(![X]:((~generous(X)<~>old(X))=>calm(X)))&
((?[X]:(humble(X)))<=>((~generous(alice)<~>~kind(alice))))&
(![X]:(patient(X)=>~generous(X)))&
(![X]:(calm(X)<=>(patient(X)&wise(X))))&
((?[X]:((~patient(X)&~kind... | ~generous(fred) | [
"p2",
"p4",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 889455062520738712968380
% SZS output start Proof for 889455062520738712968380
3. ! [X0] : ((~generous(X0) <~> old(X0)) => calm(X0)) [input p2]
5. ! [X0] : (patient(X0) => ~generous(X0)) [input p4]
6. ! [X0] : (calm(X0) <=> (wise(X0) & patient(X0))) [input p5]
8. ! [X0] : ((~rich(X0) & ~f... | 0 |
If someone is rich or not funny then john is patient or not quiet and vice versa.
If someone is creative or not tall then someone is kind.
Everyone who is both strong and funny is strong or brave.
If mary is both not quiet and curious then alice is either not kind or wise.
Everyone who is either not wise or not curious... | Mary is not humble. | entailment | ((?[X]:((rich(X)|~funny(X))))<=>((patient(john)|~quiet(john))))&
((?[X]:((creative(X)|~tall(X))))=>(?[X]:(kind(X))))&
(![X]:((strong(X)&funny(X))=>(strong(X)|brave(X))))&
(((~quiet(mary)&curious(mary)))=>((~kind(alice)<~>wise(alice))))&
(![X]:((~wise(X)<~>~curious(X))=>curious(X)))&
(![X]:(~old(X)=>(patient(X)|humble(X... | ~humble(mary) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8293375678595550944680134
% SZS output start Proof for 8293375678595550944680134
9. ! [X0] : (creative(X0) <=> ~rich(X0)) [input p8]
14. ! [X0] : ((~rich(X0) <~> creative(X0)) <=> (~calm(X0) | humble(X0))) [input p13]
23. humble(mary) [input hypothesis]
53. ! [X0] : ((creative(X0) | rich(... | 0 |
If someone is generous then someone is both quiet and not kind and vice versa.
If lucy is curious or happy then mary is not old or not calm and vice versa.
If susan is rich then someone is not strong or not patient.
Everyone who is both funny and not generous is either curious or rich and vice versa.
If paul is both ki... | John is funny. | entailment | ((?[X]:(generous(X)))<=>(?[X]:((quiet(X)&~kind(X)))))&
(((curious(lucy)|happy(lucy)))<=>((~old(mary)|~calm(mary))))&
((rich(susan))=>(?[X]:((~strong(X)|~patient(X)))))&
(![X]:((funny(X)&~generous(X))<=>(curious(X)<~>rich(X))))&
(((kind(paul)&~kind(paul)))<=>(?[X]:((~funny(X)|curious(X)))))&
(![X]:((~brave(X)&strong(X))... | funny(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6066148020561756453811270
% SZS output start Proof for 6066148020561756453811270
11. ! [X0] : ((calm(X0) | ~calm(X0)) => funny(X0)) [input p10]
25. ~funny(john) [input hypothesis]
30. ! [X0] : (funny(X0) | (~calm(X0) & calm(X0))) [ennf transformation 11]
122. funny(X0) | calm(X0) [cnf tra... | 0 |
If someone is either not generous or not patient then someone is both kind and old.
Everyone who is either quiet or humble is both kind and brave and vice versa.
Everyone who is both not humble and not wise is both not quiet and not curious and vice versa.
Everyone who is funny is not calm.
If john is not curious then ... | Susan is brave. | contradiction | ((?[X]:((~generous(X)<~>~patient(X))))=>(?[X]:((kind(X)&old(X)))))&
(![X]:((quiet(X)<~>humble(X))<=>(kind(X)&brave(X))))&
(![X]:((~humble(X)&~wise(X))<=>(~quiet(X)&~curious(X))))&
(![X]:(funny(X)=>~calm(X)))&
((~curious(john))<=>((~humble(lucy)|~curious(lucy))))&
((?[X]:((~wise(X)|strong(X))))=>(wise(susan)))&
(![X]:(~... | brave(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6348550601065518429599368
% SZS output start Proof for 6348550601065518429599368
19. ~brave(susan) & ~old(susan) [input p18]
24. brave(susan) [input hypothesis]
126. ~brave(susan) [cnf transformation 19]
132. brave(susan) [cnf transformation 24]
322. $false [subsumption resolution 132,126... | 0 |
If lucy is either not generous or not strong then someone is either calm or old.
If someone is either happy or not calm then paul is not rich.
If someone is either not creative or not calm then alice is not tall or happy.
Everyone who is creative or not calm is not kind or not curious and vice versa.
Everyone who is ri... | Mary is not curious. | entailment | (((~generous(lucy)<~>~strong(lucy)))=>(?[X]:((calm(X)<~>old(X)))))&
((?[X]:((happy(X)<~>~calm(X))))=>(~rich(paul)))&
((?[X]:((~creative(X)<~>~calm(X))))=>((~tall(alice)|happy(alice))))&
(![X]:((creative(X)|~calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patie... | ~curious(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 548839060493779538275604
% SZS output start Proof for 548839060493779538275604
22. ~creative(mary) & ~curious(mary) [input p21]
24. curious(mary) [input hypothesis]
130. ~curious(mary) [cnf transformation 22]
134. curious(mary) [cnf transformation 24]
242. $false [subsumption resolution 1... | 0 |
If paul is not patient or calm then alice is not wise or curious and vice versa.
Everyone who is both creative and old is either not calm or generous and vice versa.
If susan is either kind or quiet then someone is both curious and not generous and vice versa.
If paul is funny then mary is not tall or strong.
Everyone ... | Mary is not calm. | contradiction | (((~patient(paul)|calm(paul)))<=>((~wise(alice)|curious(alice))))&
(![X]:((creative(X)&old(X))<=>(~calm(X)<~>generous(X))))&
(((kind(susan)<~>quiet(susan)))<=>(?[X]:((curious(X)&~generous(X)))))&
((funny(paul))=>((~tall(mary)|strong(mary))))&
(![X]:((~strong(X)&~happy(X))<=>(tall(X)|~calm(X))))&
(![X]:(brave(X)=>~creat... | ~calm(mary) | [
"p4",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 199540508380513914908947
% SZS output start Proof for 199540508380513914908947
5. ! [X0] : ((~happy(X0) & ~strong(X0)) <=> (~calm(X0) | tall(X0))) [input p4]
10. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> (~kind(X0) & ~strong(X0))) [input p9]
22. kind(mary) [input p21]
25. ~calm(mary) [inpu... | 0 |
If someone is both curious and wise then alice is either old or not kind. Everyone who is kind is not brave and vice versa. If someone is creative or curious then someone is both strong and rich and vice versa. If alice is either patient or old then someone is humble or not humble. If someone is both funny and not tall... | Lucy is old. | neutral | ((?[X]:((curious(X)&wise(X))))=>((old(alice)<~>~kind(alice))))&
(![X]:(kind(X)<=>~brave(X)))&
((?[X]:((creative(X)|curious(X))))<=>(?[X]:((strong(X)&rich(X)))))&
(((patient(alice)<~>old(alice)))=>(?[X]:((humble(X)|~humble(X)))))&
((?[X]:((funny(X)&~tall(X))))=>((generous(lucy)&curious(lucy))))&
(![X]:((calm(X)<~>~happy... | old(lucy) | [] | null | 0 |
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