premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is rich then lucy is either not kind or not humble and vice versa.
Everyone who is not quiet is rich or curious and vice versa.
If someone is generous then someone is either wise or rich and vice versa.
If someone is wise then paul is both not strong and kind and vice versa.
Everyone who is happy is either n... | Mary is quiet. | entailment | ((?[X]:(rich(X)))<=>((~kind(lucy)<~>~humble(lucy))))&
(![X]:(~quiet(X)<=>(rich(X)|curious(X))))&
((?[X]:(generous(X)))<=>(?[X]:((wise(X)<~>rich(X)))))&
((?[X]:(wise(X)))<=>((~strong(paul)&kind(paul))))&
(![X]:(happy(X)=>(~rich(X)<~>creative(X))))&
(((~generous(mary)&brave(mary)))=>((calm(paul)<~>happy(paul))))&
(![X]:(... | quiet(mary) | [
"p1",
"p2",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 405503752880518719251142
% SZS output start Proof for 405503752880518719251142
2. ! [X0] : (~quiet(X0) <=> (curious(X0) | rich(X0))) [input p1]
3. ? [X0] : generous(X0) <=> ? [X0] : (wise(X0) <~> rich(X0)) [input p2]
4. ? [X0] : wise(X0) <=> (kind(paul) & ~strong(paul)) [input p3]
7. ! [X... | 0 |
If paul is not creative or kind then john is strong or not tall.
If mary is either strong or not humble then someone is either not old or not humble and vice versa.
If fred is either not funny or humble then someone is both not generous and funny.
Everyone who is not old or strong is strong or generous and vice versa.
... | Fred is not funny. | neutral | (((~creative(paul)|kind(paul)))=>((strong(john)|~tall(john))))&
(((strong(mary)<~>~humble(mary)))<=>(?[X]:((~old(X)<~>~humble(X)))))&
(((~funny(fred)<~>humble(fred)))=>(?[X]:((~generous(X)&funny(X)))))&
(![X]:((~old(X)|strong(X))<=>(strong(X)|generous(X))))&
((?[X]:((tall(X)<~>~humble(X))))=>(humble(fred)))&
(![X]:((~h... | ~funny(fred) | [] | null | 0 |
Everyone who is curious is either not generous or not rich and vice versa.
Everyone who is humble is both not wise and generous.
If susan is tall or creative then someone is both generous and patient.
If someone is both curious and not generous then someone is both not funny and creative.
Everyone who is both not creat... | Susan is not strong. | contradiction | (![X]:(curious(X)<=>(~generous(X)<~>~rich(X))))&
(![X]:(humble(X)=>(~wise(X)&generous(X))))&
(((tall(susan)|creative(susan)))=>(?[X]:((generous(X)&patient(X)))))&
((?[X]:((curious(X)&~generous(X))))=>(?[X]:((~funny(X)&creative(X)))))&
(![X]:((~creative(X)&~calm(X))=>(~humble(X)<~>generous(X))))&
(![X]:((~patient(X)&ric... | ~strong(susan) | [
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8146899127997970295991751
% SZS output start Proof for 8146899127997970295991751
7. ! [X0] : ((brave(X0) <~> ~strong(X0)) => (~funny(X0) & wise(X0))) [input p6]
8. ! [X0] : ((funny(X0) <~> ~strong(X0)) <=> (strong(X0) | ~wise(X0))) [input p7]
9. ! [X0] : ((~calm(X0) | ~strong(X0)) <=> ~br... | 0 |
Everyone who is both not tall and generous is either not calm or not quiet. If someone is either not humble or not tall then someone is either not creative or not old. If paul is either old or wise then someone is wise or humble. Everyone who is not brave or not wise is both not rich and generous and vice versa. If som... | Lucy is curious. | neutral | (![X]:((~tall(X)&generous(X))=>(~calm(X)<~>~quiet(X))))&
((?[X]:((~humble(X)<~>~tall(X))))=>(?[X]:((~creative(X)<~>~old(X)))))&
(((old(paul)<~>wise(paul)))=>(?[X]:((wise(X)|humble(X)))))&
(![X]:((~brave(X)|~wise(X))<=>(~rich(X)&generous(X))))&
((?[X]:((generous(X)|~wise(X))))<=>(?[X]:(rich(X))))&
((?[X]:((~patient(X)&~... | curious(lucy) | [] | null | 0 |
Everyone who is not old is both curious and not old. If someone is not happy then paul is quiet or humble. If paul is generous then someone is either rich or not humble and vice versa. If john is not humble or not old then someone is old or generous. Everyone who is both not patient and not calm is calm or not creative... | Paul is not tall. | entailment | (![X]:(~old(X)=>(curious(X)&~old(X))))&
((?[X]:(~happy(X)))=>((quiet(paul)|humble(paul))))&
((generous(paul))<=>(?[X]:((rich(X)<~>~humble(X)))))&
(((~humble(john)|~old(john)))=>(?[X]:((old(X)|generous(X)))))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)|~creative(X))))&
((?[X]:((strong(X)<~>funny(X))))<=>(?[X]:((happy(X)|~o... | ~tall(paul) | [
"p2",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2639929344889409899557922
% SZS output start Proof for 2639929344889409899557922
3. generous(paul) <=> ? [X0] : (rich(X0) <~> ~humble(X0)) [input p2]
10. ! [X0] : (~humble(X0) => tall(X0)) [input p9]
16. ! [X0] : ((~tall(X0) & calm(X0)) <=> (generous(X0) | ~humble(X0))) [input p15]
17. qu... | 0 |
If someone is kind or not brave then lucy is either calm or quiet and vice versa. Everyone who is both not old and not strong is either not funny or not generous. Everyone who is both not humble and humble is brave and vice versa. Everyone who is both funny and not humble is humble. If someone is either not curious or ... | Fred is not humble. | contradiction | ((?[X]:((kind(X)|~brave(X))))<=>((calm(lucy)<~>quiet(lucy))))&
(![X]:((~old(X)&~strong(X))=>(~funny(X)<~>~generous(X))))&
(![X]:((~humble(X)&humble(X))<=>brave(X)))&
(![X]:((funny(X)&~humble(X))=>humble(X)))&
((?[X]:((~curious(X)<~>wise(X))))=>((~wise(alice)&~quiet(alice))))&
(![X]:((curious(X)&brave(X))<=>(~generous(X... | ~humble(fred) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2183415597690170193692052
% SZS output start Proof for 2183415597690170193692052
4. ! [X0] : ((~humble(X0) & funny(X0)) => humble(X0)) [input p3]
9. ! [X0] : ((~patient(X0) | funny(X0)) <=> patient(X0)) [input p8]
21. ~humble(fred) [input hypothesis]
24. ! [X0] : (humble(X0) | (humble(X0)... | 0 |
If someone is curious then paul is either rich or not old.
If lucy is not happy or creative then someone is humble and vice versa.
Everyone who is both happy and not rich is both generous and not generous and vice versa.
Everyone who is not rich or not creative is both generous and patient and vice versa.
Everyone who ... | Paul is old. | entailment | ((?[X]:(curious(X)))=>((rich(paul)<~>~old(paul))))&
(((~happy(lucy)|creative(lucy)))<=>(?[X]:(humble(X))))&
(![X]:((happy(X)&~rich(X))<=>(generous(X)&~generous(X))))&
(![X]:((~rich(X)|~creative(X))<=>(generous(X)&patient(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~curious(X)&old(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:(... | old(paul) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 856964668153866650171572
% SZS output start Proof for 856964668153866650171572
1. ? [X0] : curious(X0) => (rich(paul) <~> ~old(paul)) [input p0]
3. ! [X0] : ((~rich(X0) & happy(X0)) <=> (~generous(X0) & generous(X0))) [input p2]
4. ! [X0] : ((~creative(X0) | ~rich(X0)) <=> (patient(X0) & ... | 0 |
Everyone who is both not creative and happy is not tall. Everyone who is calm is strong or not brave and vice versa. Everyone who is not brave or happy is not kind or not curious and vice versa. Everyone who is not generous or rich is both not strong and not calm. If someone is both wise and not old then fred is curiou... | Fred is brave. | entailment | (![X]:((~creative(X)&happy(X))=>~tall(X)))&
(![X]:(calm(X)<=>(strong(X)|~brave(X))))&
(![X]:((~brave(X)|happy(X))<=>(~kind(X)|~curious(X))))&
(![X]:((~generous(X)|rich(X))=>(~strong(X)&~calm(X))))&
((?[X]:((wise(X)&~old(X))))<=>((curious(fred)|~brave(fred))))&
(![X]:((happy(X)&~old(X))=>(patient(X)|~old(X))))&
(((wise(... | brave(fred) | [
"p1",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7555505413162253983743791
% SZS output start Proof for 7555505413162253983743791
2. ! [X0] : (calm(X0) <=> (~brave(X0) | strong(X0))) [input p1]
4. ! [X0] : ((rich(X0) | ~generous(X0)) => (~calm(X0) & ~strong(X0))) [input p3]
12. ! [X0] : ((rich(X0) & patient(X0)) <=> (~strong(X0) | stron... | 0 |
Everyone who is both funny and not calm is either happy or not funny and vice versa.
Everyone who is strong or not humble is either not strong or calm and vice versa.
Everyone who is both not strong and not old is quiet.
Everyone who is either not wise or not patient is both not patient and not funny and vice versa.
Ev... | Susan is not old. | contradiction | (![X]:((funny(X)&~calm(X))<=>(happy(X)<~>~funny(X))))&
(![X]:((strong(X)|~humble(X))<=>(~strong(X)<~>calm(X))))&
(![X]:((~strong(X)&~old(X))=>quiet(X)))&
(![X]:((~wise(X)<~>~patient(X))<=>(~patient(X)&~funny(X))))&
(![X]:(quiet(X)=>(curious(X)&old(X))))&
(![X]:(~funny(X)=>(happy(X)&~strong(X))))&
((?[X]:((brave(X)<~>~p... | ~old(susan) | [
"p2",
"p4",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 875804155954199686223150
% SZS output start Proof for 875804155954199686223150
3. ! [X0] : ((~old(X0) & ~strong(X0)) => quiet(X0)) [input p2]
5. ! [X0] : (quiet(X0) => (old(X0) & curious(X0))) [input p4]
6. ! [X0] : (~funny(X0) => (~strong(X0) & happy(X0))) [input p5]
18. wise(susan) & ~f... | 0 |
If fred is not calm or not old then paul is not generous or tall.
Everyone who is both happy and quiet is strong or not funny and vice versa.
Everyone who is both not wise and strong is not brave and vice versa.
Everyone who is either not creative or creative is either rich or not strong.
If john is tall then someone i... | Paul is brave. | entailment | (((~calm(fred)|~old(fred)))=>((~generous(paul)|tall(paul))))&
(![X]:((happy(X)&quiet(X))<=>(strong(X)|~funny(X))))&
(![X]:((~wise(X)&strong(X))<=>~brave(X)))&
(![X]:((~creative(X)<~>creative(X))=>(rich(X)<~>~strong(X))))&
((tall(john))<=>(?[X]:((~happy(X)<~>~humble(X)))))&
((?[X]:((humble(X)&~patient(X))))=>((strong(ma... | brave(paul) | [
"p2",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 486516348484747525534814
% SZS output start Proof for 486516348484747525534814
3. ! [X0] : ((strong(X0) & ~wise(X0)) <=> ~brave(X0)) [input p2]
10. ! [X0] : (tall(X0) <=> (~tall(X0) | funny(X0))) [input p9]
15. ! [X0] : (~tall(X0) <=> ~wise(X0)) [input p14]
22. ~brave(paul) [input hypothe... | 0 |
If someone is either quiet or not funny then someone is either strong or brave and vice versa.
If lucy is not humble or generous then someone is either not creative or not wise.
If paul is wise or kind then someone is humble or old and vice versa.
Everyone who is not wise or generous is both not strong and quiet and vi... | John is not wise. | contradiction | ((?[X]:((quiet(X)<~>~funny(X))))<=>(?[X]:((strong(X)<~>brave(X)))))&
(((~humble(lucy)|generous(lucy)))=>(?[X]:((~creative(X)<~>~wise(X)))))&
(((wise(paul)|kind(paul)))<=>(?[X]:((humble(X)|old(X)))))&
(![X]:((~wise(X)|generous(X))<=>(~strong(X)&quiet(X))))&
(![X]:((kind(X)&humble(X))<=>(humble(X)<~>~old(X))))&
((?[X]:((... | ~wise(john) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8798333870667754669169204
% SZS output start Proof for 8798333870667754669169204
4. ! [X0] : ((generous(X0) | ~wise(X0)) <=> (quiet(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((humble(X0) & kind(X0)) <=> (humble(X0) <~> ~old(X0))) [input p4]
7. ! [X0] : ((~happy(X0) | ~calm(X0)) => (~tall... | 0 |
Everyone who is not rich is creative.
Everyone who is either tall or funny is not generous.
Everyone who is quiet is both patient and not rich and vice versa.
Everyone who is either quiet or not old is strong or not humble.
Everyone who is patient or curious is both curious and strong and vice versa.
Everyone who is no... | Lucy is patient. | entailment | (![X]:(~rich(X)=>creative(X)))&
(![X]:((tall(X)<~>funny(X))=>~generous(X)))&
(![X]:(quiet(X)<=>(patient(X)&~rich(X))))&
(![X]:((quiet(X)<~>~old(X))=>(strong(X)|~humble(X))))&
(![X]:((patient(X)|curious(X))<=>(curious(X)&strong(X))))&
(![X]:((~kind(X)|~patient(X))<=>~humble(X)))&
(![X]:(~calm(X)=>(~creative(X)|wise(X)))... | patient(lucy) | [
"p0",
"p2",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4216288485945306541745963
% SZS output start Proof for 4216288485945306541745963
1. ! [X0] : (~rich(X0) => creative(X0)) [input p0]
3. ! [X0] : (quiet(X0) <=> (~rich(X0) & patient(X0))) [input p2]
11. ! [X0] : ((~rich(X0) | patient(X0)) => ~creative(X0)) [input p10]
12. ! [X0] : (rich(X0)... | 0 |
Everyone who is either not funny or rich is both not brave and patient and vice versa. If someone is not creative then mary is both generous and creative. Everyone who is humble is either quiet or not tall. Everyone who is not curious or not strong is quiet or not rich. Everyone who is not rich or not patient is either... | Susan is not quiet. | neutral | (![X]:((~funny(X)<~>rich(X))<=>(~brave(X)&patient(X))))&
((?[X]:(~creative(X)))=>((generous(mary)&creative(mary))))&
(![X]:(humble(X)=>(quiet(X)<~>~tall(X))))&
(![X]:((~curious(X)|~strong(X))=>(quiet(X)|~rich(X))))&
(![X]:((~rich(X)|~patient(X))<=>(~happy(X)<~>~quiet(X))))&
(((~wise(susan)&~quiet(susan)))=>(patient(mar... | ~quiet(susan) | [] | null | 0 |
Everyone who is both old and kind is not old or wise and vice versa. Everyone who is both wise and not tall is either not generous or not curious and vice versa. Everyone who is curious is both not patient and not calm and vice versa. Everyone who is either curious or tall is not quiet or not curious and vice versa. If... | Mary is humble. | neutral | (![X]:((old(X)&kind(X))<=>(~old(X)|wise(X))))&
(![X]:((wise(X)&~tall(X))<=>(~generous(X)<~>~curious(X))))&
(![X]:(curious(X)<=>(~patient(X)&~calm(X))))&
(![X]:((curious(X)<~>tall(X))<=>(~quiet(X)|~curious(X))))&
((?[X]:(funny(X)))=>((kind(alice)&wise(alice))))&
(((~wise(mary)|~funny(mary)))<=>(?[X]:(calm(X))))&
((?[X]:... | humble(mary) | [] | null | 0 |
Everyone who is either happy or funny is wise and vice versa.
Everyone who is either not happy or not funny is generous and vice versa.
If paul is not quiet then fred is either not humble or not strong.
Everyone who is either not calm or quiet is either brave or not happy and vice versa.
Everyone who is not curious or ... | Susan is not brave. | entailment | (![X]:((happy(X)<~>funny(X))<=>wise(X)))&
(![X]:((~happy(X)<~>~funny(X))<=>generous(X)))&
((~quiet(paul))=>((~humble(fred)<~>~strong(fred))))&
(![X]:((~calm(X)<~>quiet(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~curious(X)|funny(X))=>(~tall(X)&calm(X))))&
((~strong(susan))<=>(?[X]:(generous(X))))&
(![X]:((~quiet(X)<~>~cal... | ~brave(susan) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4440481927654088152542850
% SZS output start Proof for 4440481927654088152542850
1. ! [X0] : ((happy(X0) <~> funny(X0)) <=> wise(X0)) [input p0]
2. ! [X0] : ((~happy(X0) <~> ~funny(X0)) <=> generous(X0)) [input p1]
4. ! [X0] : ((~calm(X0) <~> quiet(X0)) <=> (brave(X0) <~> ~happy(X0))) [in... | 0 |
Everyone who is either curious or strong is both humble and not kind and vice versa.
Everyone who is either not generous or not old is wise.
If someone is either not curious or not creative then lucy is either not funny or patient.
Everyone who is patient is not strong.
If someone is either wise or not rich then someon... | Susan is not quiet. | contradiction | (![X]:((curious(X)<~>strong(X))<=>(humble(X)&~kind(X))))&
(![X]:((~generous(X)<~>~old(X))=>wise(X)))&
((?[X]:((~curious(X)<~>~creative(X))))=>((~funny(lucy)<~>patient(lucy))))&
(![X]:(patient(X)=>~strong(X)))&
((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((~creative(X)|~quiet(X)))))&
(((~strong(susan)|brave(susan)))<=>(?[X]:(... | ~quiet(susan) | [
"p0",
"p3",
"p7",
"p11",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6620114012242511780664443
% SZS output start Proof for 6620114012242511780664443
1. ! [X0] : ((curious(X0) <~> strong(X0)) <=> (~kind(X0) & humble(X0))) [input p0]
4. ! [X0] : (patient(X0) => ~strong(X0)) [input p3]
8. ! [X0] : ((~tall(X0) <~> ~curious(X0)) => (quiet(X0) & ~happy(X0))) [i... | 0 |
Everyone who is both quiet and tall is tall and vice versa.
Everyone who is wise or not tall is not wise or wise and vice versa.
Everyone who is both not rich and calm is either not strong or not funny.
Everyone who is both not humble and generous is brave and vice versa.
Everyone who is either calm or old is patient a... | John is not calm. | contradiction | (![X]:((quiet(X)&tall(X))<=>tall(X)))&
(![X]:((wise(X)|~tall(X))<=>(~wise(X)|wise(X))))&
(![X]:((~rich(X)&calm(X))=>(~strong(X)<~>~funny(X))))&
(![X]:((~humble(X)&generous(X))<=>brave(X)))&
(![X]:((calm(X)<~>old(X))<=>patient(X)))&
(((~calm(lucy)<~>~curious(lucy)))=>(?[X]:((happy(X)<~>curious(X)))))&
(((~wise(john)<~>~... | ~calm(john) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3684455324743428715472850
% SZS output start Proof for 3684455324743428715472850
8. ! [X0] : ((~strong(X0) | funny(X0)) <=> (humble(X0) & ~rich(X0))) [input p7]
13. ! [X0] : ((~funny(X0) | humble(X0)) <=> (calm(X0) & rich(X0))) [input p12]
23. ~calm(john) [input hypothesis]
48. ! [X0] : (... | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa.
Everyone who is rich or strong is both not calm and calm and vice versa.
Everyone who is calm or not brave is either patient or old.
If fred is strong or old then someone is not kind.
Everyone who is both not brave and not humble ... | Mary is not generous. | entailment | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~calm(X)&calm(X))))&
(![X]:((calm(X)|~brave(X))=>(patient(X)<~>old(X))))&
(((strong(fred)|old(fred)))=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)&~humble(X))=>(~calm(X)&strong(X))))&
(![X]:((~curious(X)<~>funny(X))<=>(curious(X)&creative... | ~generous(mary) | [
"p0",
"p1",
"p2",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 50697782364602614351539
% SZS output start Proof for 50697782364602614351539
1. ! [X0] : ((~calm(X0) <~> kind(X0)) <=> (~humble(X0) <~> ~quiet(X0))) [input p0]
2. ! [X0] : ((strong(X0) | rich(X0)) <=> (calm(X0) & ~calm(X0))) [input p1]
3. ! [X0] : ((~brave(X0) | calm(X0)) => (patient(X0) ... | 0 |
Everyone who is either quiet or calm is either happy or not creative and vice versa. If alice is either strong or not happy then someone is not generous. If someone is patient then someone is old. Everyone who is either humble or brave is kind or not generous. Everyone who is wise or not brave is either not tall or wis... | Lucy is happy. | neutral | (![X]:((quiet(X)<~>calm(X))<=>(happy(X)<~>~creative(X))))&
(((strong(alice)<~>~happy(alice)))=>(?[X]:(~generous(X))))&
((?[X]:(patient(X)))=>(?[X]:(old(X))))&
(![X]:((humble(X)<~>brave(X))=>(kind(X)|~generous(X))))&
(![X]:((wise(X)|~brave(X))<=>(~tall(X)<~>wise(X))))&
((?[X]:((~kind(X)<~>rich(X))))<=>(?[X]:((~patient(X... | happy(lucy) | [] | null | 0 |
If someone is not calm or not generous then susan is not calm or rich. Everyone who is not tall or not brave is either creative or funny and vice versa. If someone is funny then paul is patient. If lucy is not strong then mary is not rich and vice versa. Everyone who is either not curious or not humble is not wise and ... | Fred is patient. | neutral | ((?[X]:((~calm(X)|~generous(X))))=>((~calm(susan)|rich(susan))))&
(![X]:((~tall(X)|~brave(X))<=>(creative(X)<~>funny(X))))&
((?[X]:(funny(X)))=>(patient(paul)))&
((~strong(lucy))<=>(~rich(mary)))&
(![X]:((~curious(X)<~>~humble(X))<=>~wise(X)))&
((?[X]:((~generous(X)<~>old(X))))<=>(?[X]:((calm(X)|brave(X)))))&
((~patien... | patient(fred) | [] | null | 0 |
If paul is either not tall or wise then someone is not kind.
Everyone who is rich is either not curious or funny.
Everyone who is both tall and not humble is either not curious or not funny and vice versa.
Everyone who is not creative or not tall is either not kind or not quiet and vice versa.
If susan is not patient t... | John is not funny. | neutral | (((~tall(paul)<~>wise(paul)))=>(?[X]:(~kind(X))))&
(![X]:(rich(X)=>(~curious(X)<~>funny(X))))&
(![X]:((tall(X)&~humble(X))<=>(~curious(X)<~>~funny(X))))&
(![X]:((~creative(X)|~tall(X))<=>(~kind(X)<~>~quiet(X))))&
((~patient(susan))<=>((~rich(john)|~kind(john))))&
(![X]:((creative(X)<~>~old(X))<=>(~brave(X)<~>old(X))))&... | ~funny(john) | [] | null | 0 |
Everyone who is rich or humble is either tall or not happy. Everyone who is either calm or creative is both funny and not strong. Everyone who is both tall and creative is both generous and calm. If someone is not tall or not calm then someone is humble or old and vice versa. If susan is calm then alice is both patient... | Lucy is strong. | contradiction | (![X]:((rich(X)|humble(X))=>(tall(X)<~>~happy(X))))&
(![X]:((calm(X)<~>creative(X))=>(funny(X)&~strong(X))))&
(![X]:((tall(X)&creative(X))=>(generous(X)&calm(X))))&
((?[X]:((~tall(X)|~calm(X))))<=>(?[X]:((humble(X)|old(X)))))&
((calm(susan))=>((patient(alice)&calm(alice))))&
((?[X]:((generous(X)|~humble(X))))=>((kind(m... | strong(lucy) | [
"p1",
"p5",
"p7",
"p9",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6531909393605118267187640
% SZS output start Proof for 6531909393605118267187640
2. ! [X0] : ((calm(X0) <~> creative(X0)) => (~strong(X0) & funny(X0))) [input p1]
6. ? [X0] : (~humble(X0) | generous(X0)) => (~happy(mary) & kind(mary)) [input p5]
8. ! [X0] : ((happy(X0) | ~generous(X0)) <=... | 0 |
If mary is not strong then someone is wise or quiet.
Everyone who is both not happy and not tall is either tall or happy.
If someone is not patient then fred is either not creative or generous.
Everyone who is either not strong or quiet is both not humble and not happy and vice versa.
If mary is either humble or wise t... | Mary is not creative. | entailment | ((~strong(mary))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~happy(X)&~tall(X))=>(tall(X)<~>happy(X))))&
((?[X]:(~patient(X)))=>((~creative(fred)<~>generous(fred))))&
(![X]:((~strong(X)<~>quiet(X))<=>(~humble(X)&~happy(X))))&
(((humble(mary)<~>wise(mary)))<=>(?[X]:((rich(X)<~>happy(X)))))&
(((~quiet(paul)<~>strong(paul)))<... | ~creative(mary) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4463486017520204117805467
% SZS output start Proof for 4463486017520204117805467
4. ! [X0] : ((~strong(X0) <~> quiet(X0)) <=> (~happy(X0) & ~humble(X0))) [input p3]
5. (humble(mary) <~> wise(mary)) <=> ? [X0] : (rich(X0) <~> happy(X0)) [input p4]
6. (~quiet(paul) <~> strong(paul)) <=> ? [... | 0 |
Everyone who is not curious or kind is not funny or brave and vice versa.
If susan is either strong or humble then susan is patient or not rich and vice versa.
If someone is either old or not brave then someone is both not wise and quiet.
Everyone who is both not generous and quiet is either not generous or patient and... | Alice is not quiet. | neutral | (![X]:((~curious(X)|kind(X))<=>(~funny(X)|brave(X))))&
(((strong(susan)<~>humble(susan)))<=>((patient(susan)|~rich(susan))))&
((?[X]:((old(X)<~>~brave(X))))=>(?[X]:((~wise(X)&quiet(X)))))&
(![X]:((~generous(X)&quiet(X))<=>(~generous(X)<~>patient(X))))&
(![X]:((funny(X)&~curious(X))<=>(patient(X)|~funny(X))))&
(![X]:((k... | ~quiet(alice) | [] | null | 0 |
If someone is not funny or quiet then someone is both not rich and not brave and vice versa.
If someone is patient then john is either patient or not curious and vice versa.
Everyone who is both not generous and not funny is strong or not rich.
Everyone who is not kind is not humble.
Everyone who is either tall or not ... | Lucy is not quiet. | contradiction | ((?[X]:((~funny(X)|quiet(X))))<=>(?[X]:((~rich(X)&~brave(X)))))&
((?[X]:(patient(X)))<=>((patient(john)<~>~curious(john))))&
(![X]:((~generous(X)&~funny(X))=>(strong(X)|~rich(X))))&
(![X]:(~kind(X)=>~humble(X)))&
(![X]:((tall(X)<~>~wise(X))<=>funny(X)))&
(![X]:((~tall(X)|brave(X))<=>(~kind(X)<~>old(X))))&
(![X]:(~patie... | ~quiet(lucy) | [
"p5",
"p6",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3487323723051120327870840
% SZS output start Proof for 3487323723051120327870840
6. ! [X0] : ((brave(X0) | ~tall(X0)) <=> (~kind(X0) <~> old(X0))) [input p5]
7. ! [X0] : (~patient(X0) <=> (old(X0) | ~humble(X0))) [input p6]
8. ? [X0] : (~wise(X0) <~> ~generous(X0)) <=> (~humble(lucy) & qu... | 0 |
Everyone who is rich or curious is both not old and not generous and vice versa. Everyone who is both generous and patient is both kind and not creative. Everyone who is old or patient is both humble and quiet and vice versa. Everyone who is not patient is not funny or not curious. Everyone who is either not calm or ki... | Lucy is quiet. | entailment | (![X]:((rich(X)|curious(X))<=>(~old(X)&~generous(X))))&
(![X]:((generous(X)&patient(X))=>(kind(X)&~creative(X))))&
(![X]:((old(X)|patient(X))<=>(humble(X)&quiet(X))))&
(![X]:(~patient(X)=>(~funny(X)|~curious(X))))&
(![X]:((~calm(X)<~>kind(X))=>(~patient(X)<~>curious(X))))&
(((~strong(john)|~generous(john)))=>(?[X]:(hap... | quiet(lucy) | [
"p0",
"p9",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7075082342090616062300324
% SZS output start Proof for 7075082342090616062300324
1. ! [X0] : ((curious(X0) | rich(X0)) <=> (~generous(X0) & ~old(X0))) [input p0]
10. ! [X0] : ((~rich(X0) | happy(X0)) => ~old(X0)) [input p9]
13. ! [X0] : ((~calm(X0) & funny(X0)) <=> (~wise(X0) | ~old(X0)))... | 0 |
If someone is either not curious or quiet then john is creative or tall and vice versa.
Everyone who is either calm or not humble is wise and vice versa.
If someone is not tall then someone is not happy and vice versa.
Everyone who is happy or not tall is rich or not quiet and vice versa.
Everyone who is either not old... | Lucy is not generous. | neutral | ((?[X]:((~curious(X)<~>quiet(X))))<=>((creative(john)|tall(john))))&
(![X]:((calm(X)<~>~humble(X))<=>wise(X)))&
((?[X]:(~tall(X)))<=>(?[X]:(~happy(X))))&
(![X]:((happy(X)|~tall(X))<=>(rich(X)|~quiet(X))))&
(![X]:((~old(X)<~>~wise(X))<=>~calm(X)))&
((?[X]:(happy(X)))<=>((~creative(john)&humble(john))))&
(![X]:((~old(X)<... | ~generous(lucy) | [] | null | 0 |
Everyone who is patient or not quiet is both not curious and patient and vice versa.
Everyone who is both brave and tall is either not calm or quiet.
If someone is either generous or humble then someone is not humble and vice versa.
Everyone who is either not strong or not kind is not creative and vice versa.
If mary i... | Fred is brave. | entailment | (![X]:((patient(X)|~quiet(X))<=>(~curious(X)&patient(X))))&
(![X]:((brave(X)&tall(X))=>(~calm(X)<~>quiet(X))))&
((?[X]:((generous(X)<~>humble(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~strong(X)<~>~kind(X))<=>~creative(X)))&
(((old(mary)<~>strong(mary)))=>(humble(fred)))&
((?[X]:((creative(X)&curious(X))))=>(tall(lucy)))&
... | brave(fred) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1685012279025022245652686
% SZS output start Proof for 1685012279025022245652686
13. ? [X0] : (~creative(X0) & ~happy(X0)) <=> ? [X0] : ~brave(X0) [input p12]
14. ! [X0] : ((~creative(X0) | ~funny(X0)) <=> (happy(X0) & ~humble(X0))) [input p13]
25. ~brave(fred) [input hypothesis]
28. ? [X... | 0 |
Everyone who is either wise or rich is both strong and not tall. Everyone who is either not curious or strong is not kind and vice versa. If paul is either not kind or not strong then mary is not old or brave and vice versa. Everyone who is either not old or not humble is both rich and not funny and vice versa. If some... | Paul is not strong. | neutral | (![X]:((wise(X)<~>rich(X))=>(strong(X)&~tall(X))))&
(![X]:((~curious(X)<~>strong(X))<=>~kind(X)))&
(((~kind(paul)<~>~strong(paul)))<=>((~old(mary)|brave(mary))))&
(![X]:((~old(X)<~>~humble(X))<=>(rich(X)&~funny(X))))&
((?[X]:(strong(X)))<=>((generous(john)|quiet(john))))&
(![X]:((patient(X)<~>~brave(X))=>(~tall(X)|old(... | ~strong(paul) | [] | null | 0 |
If fred is both not creative and funny then john is either not brave or not funny and vice versa. If someone is both kind and funny then someone is both patient and not tall. Everyone who is not kind or not creative is both calm and not patient and vice versa. Everyone who is generous or not kind is either not generous... | John is not calm. | neutral | (((~creative(fred)&funny(fred)))<=>((~brave(john)<~>~funny(john))))&
((?[X]:((kind(X)&funny(X))))=>(?[X]:((patient(X)&~tall(X)))))&
(![X]:((~kind(X)|~creative(X))<=>(calm(X)&~patient(X))))&
(![X]:((generous(X)|~kind(X))=>(~generous(X)<~>~brave(X))))&
(((kind(alice)&funny(alice)))<=>(~calm(alice)))&
(![X]:((~patient(X)&... | ~calm(john) | [] | null | 0 |
If someone is not humble then someone is both calm and not happy.
If fred is tall then paul is either old or not happy.
Everyone who is either not brave or quiet is curious or not funny and vice versa.
If paul is not humble or old then someone is creative or not humble and vice versa.
If someone is either not creative ... | Paul is not humble. | neutral | ((?[X]:(~humble(X)))=>(?[X]:((calm(X)&~happy(X)))))&
((tall(fred))=>((old(paul)<~>~happy(paul))))&
(![X]:((~brave(X)<~>quiet(X))<=>(curious(X)|~funny(X))))&
(((~humble(paul)|old(paul)))<=>(?[X]:((creative(X)|~humble(X)))))&
((?[X]:((~creative(X)<~>~old(X))))<=>(?[X]:((~old(X)&strong(X)))))&
(![X]:(~rich(X)=>(humble(X)|... | ~humble(paul) | [] | null | 0 |
Everyone who is either funny or patient is both not kind and wise.
Everyone who is curious is both brave and not brave and vice versa.
If someone is wise or old then someone is not funny.
Everyone who is not rich is either not old or funny and vice versa.
Everyone who is either not rich or patient is both brave and not... | Lucy is not curious. | entailment | (![X]:((funny(X)<~>patient(X))=>(~kind(X)&wise(X))))&
(![X]:(curious(X)<=>(brave(X)&~brave(X))))&
((?[X]:((wise(X)|old(X))))=>(?[X]:(~funny(X))))&
(![X]:(~rich(X)<=>(~old(X)<~>funny(X))))&
(![X]:((~rich(X)<~>patient(X))=>(brave(X)&~tall(X))))&
((?[X]:((~patient(X)&~wise(X))))=>(?[X]:((~wise(X)<~>tall(X)))))&
(((old(ali... | ~curious(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 978868877679426336503991
% SZS output start Proof for 978868877679426336503991
2. ! [X0] : (curious(X0) <=> (~brave(X0) & brave(X0))) [input p1]
25. curious(lucy) [input hypothesis]
41. ! [X0] : ((curious(X0) | (brave(X0) | ~brave(X0))) & ((~brave(X0) & brave(X0)) | ~curious(X0))) [nnf tr... | 0 |
If alice is either brave or not humble then susan is both humble and not strong. Everyone who is both not generous and quiet is not generous or brave. Everyone who is patient is both not patient and not humble and vice versa. Everyone who is not rich or quiet is creative and vice versa. Everyone who is both not happy a... | Susan is humble. | entailment | (((brave(alice)<~>~humble(alice)))=>((humble(susan)&~strong(susan))))&
(![X]:((~generous(X)&quiet(X))=>(~generous(X)|brave(X))))&
(![X]:(patient(X)<=>(~patient(X)&~humble(X))))&
(![X]:((~rich(X)|quiet(X))<=>creative(X)))&
(![X]:((~happy(X)&~strong(X))<=>(generous(X)|wise(X))))&
((?[X]:((calm(X)|creative(X))))<=>(?[X]:(... | humble(susan) | [
"p0",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8534371502271836968131841
% SZS output start Proof for 8534371502271836968131841
1. (brave(alice) <~> ~humble(alice)) => (~strong(susan) & humble(susan)) [input p0]
11. ! [X0] : (~strong(X0) => humble(X0)) [input p10]
12. ! [X0] : ((~calm(X0) | ~brave(X0)) => strong(X0)) [input p11]
19. ~... | 0 |
If someone is both not creative and not brave then lucy is either happy or not brave.
Everyone who is either not humble or not tall is either not generous or funny.
Everyone who is either not brave or creative is both not kind and strong.
Everyone who is not happy or not curious is quiet.
If someone is both calm and cr... | Lucy is not curious. | entailment | ((?[X]:((~creative(X)&~brave(X))))=>((happy(lucy)<~>~brave(lucy))))&
(![X]:((~humble(X)<~>~tall(X))=>(~generous(X)<~>funny(X))))&
(![X]:((~brave(X)<~>creative(X))=>(~kind(X)&strong(X))))&
(![X]:((~happy(X)|~curious(X))=>quiet(X)))&
((?[X]:((calm(X)&creative(X))))=>(?[X]:((quiet(X)&~humble(X)))))&
(![X]:((~funny(X)&happ... | ~curious(lucy) | [
"p1",
"p5",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 492607491806064910196804
% SZS output start Proof for 492607491806064910196804
2. ! [X0] : ((~humble(X0) <~> ~tall(X0)) => (~generous(X0) <~> funny(X0))) [input p1]
6. ! [X0] : ((happy(X0) & ~funny(X0)) <=> (~curious(X0) <~> humble(X0))) [input p5]
10. ! [X0] : ((~humble(X0) & ~brave(X0))... | 0 |
Everyone who is not creative is both not generous and not curious. Everyone who is both humble and not strong is both not happy and not funny. If someone is brave or funny then someone is not curious and vice versa. Everyone who is either not happy or calm is both generous and not generous and vice versa. If susan is n... | Paul is not wise. | neutral | (![X]:(~creative(X)=>(~generous(X)&~curious(X))))&
(![X]:((humble(X)&~strong(X))=>(~happy(X)&~funny(X))))&
((?[X]:((brave(X)|funny(X))))<=>(?[X]:(~curious(X))))&
(![X]:((~happy(X)<~>calm(X))<=>(generous(X)&~generous(X))))&
((~patient(susan))<=>((~humble(fred)<~>funny(fred))))&
((?[X]:(~wise(X)))<=>(?[X]:(funny(X))))&
(... | ~wise(paul) | [] | null | 0 |
Everyone who is brave or not quiet is both generous and not old and vice versa. Everyone who is calm or not funny is either not curious or generous and vice versa. Everyone who is either not funny or not rich is not old or not funny. Everyone who is curious or funny is not brave. If someone is either happy or not funny... | John is not brave. | entailment | (![X]:((brave(X)|~quiet(X))<=>(generous(X)&~old(X))))&
(![X]:((calm(X)|~funny(X))<=>(~curious(X)<~>generous(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(~old(X)|~funny(X))))&
(![X]:((curious(X)|funny(X))=>~brave(X)))&
((?[X]:((happy(X)<~>~funny(X))))=>((generous(john)|~patient(john))))&
(![X]:((~rich(X)|~curious(X))=>(creati... | ~brave(john) | [
"p0",
"p1",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6827015226441933256850964
% SZS output start Proof for 6827015226441933256850964
1. ! [X0] : ((~quiet(X0) | brave(X0)) <=> (~old(X0) & generous(X0))) [input p0]
2. ! [X0] : ((~funny(X0) | calm(X0)) <=> (~curious(X0) <~> generous(X0))) [input p1]
4. ! [X0] : ((funny(X0) | curious(X0)) => ~... | 0 |
Everyone who is not funny is either not calm or not funny.
Everyone who is curious is either creative or not quiet.
Everyone who is both not generous and not tall is both not creative and funny.
If someone is old or strong then someone is either not quiet or not brave.
If someone is either not old or wise then someone ... | Alice is not funny. | entailment | (![X]:(~funny(X)=>(~calm(X)<~>~funny(X))))&
(![X]:(curious(X)=>(creative(X)<~>~quiet(X))))&
(![X]:((~generous(X)&~tall(X))=>(~creative(X)&funny(X))))&
((?[X]:((old(X)|strong(X))))=>(?[X]:((~quiet(X)<~>~brave(X)))))&
((?[X]:((~old(X)<~>wise(X))))<=>(?[X]:((~happy(X)<~>patient(X)))))&
((?[X]:(quiet(X)))=>(?[X]:(~funny(X)... | ~funny(alice) | [
"p6",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4799487519229079614137312
% SZS output start Proof for 4799487519229079614137312
7. ? [X0] : kind(X0) => (~wise(alice) & ~funny(alice)) [input p6]
12. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> (tall(X0) & ~brave(X0))) [input p11]
13. ! [X0] : ((kind(X0) <~> ~generous(X0)) <=> brave(X0))... | 0 |
Everyone who is either not kind or strong is either happy or brave and vice versa. Everyone who is happy or generous is both not humble and curious and vice versa. If susan is either not calm or not wise then susan is both quiet and not brave. Everyone who is rich is either kind or old. If someone is curious then someo... | Mary is not creative. | neutral | (![X]:((~kind(X)<~>strong(X))<=>(happy(X)<~>brave(X))))&
(![X]:((happy(X)|generous(X))<=>(~humble(X)&curious(X))))&
(((~calm(susan)<~>~wise(susan)))=>((quiet(susan)&~brave(susan))))&
(![X]:(rich(X)=>(kind(X)<~>old(X))))&
((?[X]:(curious(X)))<=>(?[X]:(~kind(X))))&
(((~wise(susan)&curious(susan)))=>(?[X]:(~patient(X))))&... | ~creative(mary) | [] | null | 0 |
Everyone who is either quiet or not calm is not creative.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Everyone who is patient or not wise is not curious.
If someone is either old or not wise then someone is both not calm and not strong and vice versa.
Everyone who is patient... | Lucy is not creative. | entailment | (![X]:((quiet(X)<~>~calm(X))=>~creative(X)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((~calm(X)&~strong(X)))))&
(![X]:((patient(X)|strong(X))<=>(kind(X)&happy(X))))&
(![X]:((~calm(X)&rich(X))<=>(quiet(X)&hum... | ~creative(lucy) | [
"p2",
"p4",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3964959598134149603208087
% SZS output start Proof for 3964959598134149603208087
3. ! [X0] : ((~wise(X0) | patient(X0)) => ~curious(X0)) [input p2]
5. ! [X0] : ((strong(X0) | patient(X0)) <=> (happy(X0) & kind(X0))) [input p4]
10. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (brave(X0) | stro... | 0 |
If paul is both curious and not brave then someone is not happy and vice versa. If someone is both tall and not brave then someone is either not wise or not rich. Everyone who is either rich or kind is both not creative and tall. If someone is not creative or not kind then someone is calm. Everyone who is not creative ... | Susan is humble. | entailment | (((curious(paul)&~brave(paul)))<=>(?[X]:(~happy(X))))&
((?[X]:((tall(X)&~brave(X))))=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((rich(X)<~>kind(X))=>(~creative(X)&tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(calm(X))))&
(![X]:((~creative(X)|brave(X))<=>(~patient(X)&creative(X))))&
((?[X]:((wise(X)<~>rich(X))))=>... | humble(susan) | [
"p6",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2097440974263590889404984
% SZS output start Proof for 2097440974263590889404984
7. ! [X0] : (tall(X0) <=> (~creative(X0) & ~old(X0))) [input p6]
9. ! [X0] : (tall(X0) => creative(X0)) [input p8]
15. (~quiet(susan) | ~humble(susan)) => (brave(mary) | tall(mary)) [input p14]
16. ! [X0] : (... | 0 |
If lucy is not calm or not funny then someone is curious and vice versa.
If someone is both not funny and funny then someone is happy and vice versa.
Everyone who is not kind or not tall is old or creative and vice versa.
Everyone who is either not happy or happy is not generous and vice versa.
Everyone who is not rich... | Lucy is tall. | neutral | (((~calm(lucy)|~funny(lucy)))<=>(?[X]:(curious(X))))&
((?[X]:((~funny(X)&funny(X))))<=>(?[X]:(happy(X))))&
(![X]:((~kind(X)|~tall(X))<=>(old(X)|creative(X))))&
(![X]:((~happy(X)<~>happy(X))<=>~generous(X)))&
(![X]:((~rich(X)|~generous(X))<=>brave(X)))&
(![X]:((curious(X)<~>~quiet(X))=>(~old(X)<~>tall(X))))&
((?[X]:((cu... | tall(lucy) | [] | null | 0 |
If susan is not curious then someone is tall or humble and vice versa.
Everyone who is either curious or not humble is not humble or funny and vice versa.
Everyone who is not creative is either not generous or happy and vice versa.
Everyone who is either rich or not generous is either not brave or old.
Everyone who is ... | John is rich. | contradiction | ((~curious(susan))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)<~>~humble(X))<=>(~humble(X)|funny(X))))&
(![X]:(~creative(X)<=>(~generous(X)<~>happy(X))))&
(![X]:((rich(X)<~>~generous(X))=>(~brave(X)<~>old(X))))&
(![X]:((humble(X)|tall(X))<=>(curious(X)|~tall(X))))&
(![X]:((funny(X)|~curious(X))<=>(calm(X)|humbl... | rich(john) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2177847642361883204865115
% SZS output start Proof for 2177847642361883204865115
5. ! [X0] : ((tall(X0) | humble(X0)) <=> (~tall(X0) | curious(X0))) [input p4]
12. ! [X0] : ((humble(X0) | curious(X0)) => (~wise(X0) & ~rich(X0))) [input p11]
25. rich(john) [input hypothesis]
34. ! [X0] : (... | 0 |
If susan is both calm and curious then alice is wise and vice versa. If lucy is either creative or wise then john is both not happy and not strong. If john is both not happy and not strong then alice is both not generous and wise and vice versa. Everyone who is both not happy and not brave is funny and vice versa. If a... | Lucy is rich. | neutral | (((calm(susan)&curious(susan)))<=>(wise(alice)))&
(((creative(lucy)<~>wise(lucy)))=>((~happy(john)&~strong(john))))&
(((~happy(john)&~strong(john)))<=>((~generous(alice)&wise(alice))))&
(![X]:((~happy(X)&~brave(X))<=>funny(X)))&
(((tall(alice)<~>funny(alice)))=>(generous(lucy)))&
(![X]:((brave(X)<~>generous(X))<=>(calm... | rich(lucy) | [] | null | 0 |
If someone is kind then fred is curious and vice versa. Everyone who is either humble or calm is calm or wise and vice versa. If fred is both not kind and wise then someone is not humble or calm and vice versa. Everyone who is either tall or curious is quiet. If lucy is both not calm and not curious then someone is bot... | Lucy is calm. | neutral | ((?[X]:(kind(X)))<=>(curious(fred)))&
(![X]:((humble(X)<~>calm(X))<=>(calm(X)|wise(X))))&
(((~kind(fred)&wise(fred)))<=>(?[X]:((~humble(X)|calm(X)))))&
(![X]:((tall(X)<~>curious(X))=>quiet(X)))&
(((~calm(lucy)&~curious(lucy)))<=>(?[X]:((generous(X)&~wise(X)))))&
(((kind(mary)&~rich(mary)))=>(?[X]:((~creative(X)<~>~rich... | calm(lucy) | [] | null | 0 |
Everyone who is not humble or not funny is both strong and brave and vice versa.
If someone is strong or not tall then fred is either rich or not curious.
Everyone who is both funny and not patient is either kind or not creative.
If alice is both funny and not generous then lucy is brave.
Everyone who is either humble ... | Lucy is brave. | entailment | (![X]:((~humble(X)|~funny(X))<=>(strong(X)&brave(X))))&
((?[X]:((strong(X)|~tall(X))))=>((rich(fred)<~>~curious(fred))))&
(![X]:((funny(X)&~patient(X))=>(kind(X)<~>~creative(X))))&
(((funny(alice)&~generous(alice)))=>(brave(lucy)))&
(![X]:((humble(X)<~>~old(X))<=>(wise(X)&~strong(X))))&
(![X]:((~calm(X)|~rich(X))<=>~ol... | brave(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3580209873157738180742505
% SZS output start Proof for 3580209873157738180742505
20. brave(lucy) & ~strong(lucy) [input p19]
25. ~brave(lucy) [input hypothesis]
140. brave(lucy) [cnf transformation 20]
146. ~brave(lucy) [cnf transformation 25]
175. 7 <=> brave(lucy) [avatar definition]
28... | 0 |
Everyone who is either not patient or not creative is either rich or not calm.
If someone is strong then susan is both not strong and tall and vice versa.
Everyone who is old or calm is either funny or creative.
Everyone who is both happy and not old is strong or not brave and vice versa.
Everyone who is quiet is calm ... | Paul is not old. | entailment | (![X]:((~patient(X)<~>~creative(X))=>(rich(X)<~>~calm(X))))&
((?[X]:(strong(X)))<=>((~strong(susan)&tall(susan))))&
(![X]:((old(X)|calm(X))=>(funny(X)<~>creative(X))))&
(![X]:((happy(X)&~old(X))<=>(strong(X)|~brave(X))))&
(![X]:(quiet(X)<=>(calm(X)|~patient(X))))&
(![X]:((kind(X)<~>~tall(X))<=>quiet(X)))&
(![X]:((~curi... | ~old(paul) | [
"p3",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3587376183697441522820698
% SZS output start Proof for 3587376183697441522820698
4. ! [X0] : ((~old(X0) & happy(X0)) <=> (~brave(X0) | strong(X0))) [input p3]
11. ? [X0] : (~happy(X0) | ~tall(X0)) => strong(paul) [input p10]
18. ~tall(john) & ~rich(john) [input p17]
24. old(paul) [input h... | 0 |
Everyone who is not old is either not tall or not brave and vice versa.
If someone is funny then someone is quiet or curious and vice versa.
Everyone who is old is either happy or patient and vice versa.
If susan is not wise or not creative then susan is either not rich or kind.
If paul is both not rich and tall then j... | Lucy is not old. | neutral | (![X]:(~old(X)<=>(~tall(X)<~>~brave(X))))&
((?[X]:(funny(X)))<=>(?[X]:((quiet(X)|curious(X)))))&
(![X]:(old(X)<=>(happy(X)<~>patient(X))))&
(((~wise(susan)|~creative(susan)))=>((~rich(susan)<~>kind(susan))))&
(((~rich(paul)&tall(paul)))=>((~funny(john)<~>~generous(john))))&
(((~humble(lucy)|~tall(lucy)))<=>(?[X]:((gene... | ~old(lucy) | [] | null | 0 |
If someone is not funny then someone is either creative or funny. Everyone who is tall or not wise is not calm or kind and vice versa. Everyone who is both not creative and old is brave or not strong and vice versa. Everyone who is tall is not brave. Everyone who is either brave or not quiet is either not patient or fu... | Susan is not wise. | entailment | ((?[X]:(~funny(X)))=>(?[X]:((creative(X)<~>funny(X)))))&
(![X]:((tall(X)|~wise(X))<=>(~calm(X)|kind(X))))&
(![X]:((~creative(X)&old(X))<=>(brave(X)|~strong(X))))&
(![X]:(tall(X)=>~brave(X)))&
(![X]:((brave(X)<~>~quiet(X))<=>(~patient(X)<~>funny(X))))&
(![X]:((tall(X)|~brave(X))<=>(~curious(X)<~>~creative(X))))&
((?[X]:... | ~wise(susan) | [
"p1",
"p2",
"p3",
"p8",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5826524214034724233904970
% SZS output start Proof for 5826524214034724233904970
2. ! [X0] : ((~wise(X0) | tall(X0)) <=> (kind(X0) | ~calm(X0))) [input p1]
3. ! [X0] : ((old(X0) & ~creative(X0)) <=> (~strong(X0) | brave(X0))) [input p2]
4. ! [X0] : (tall(X0) => ~brave(X0)) [input p3]
9. !... | 0 |
If john is not kind then alice is quiet.
Everyone who is both not strong and happy is either calm or not old and vice versa.
Everyone who is both not strong and not calm is both strong and funny.
If someone is either not old or funny then mary is not tall or not rich.
Everyone who is both patient and funny is generous ... | Alice is quiet. | contradiction | ((~kind(john))=>(quiet(alice)))&
(![X]:((~strong(X)&happy(X))<=>(calm(X)<~>~old(X))))&
(![X]:((~strong(X)&~calm(X))=>(strong(X)&funny(X))))&
((?[X]:((~old(X)<~>funny(X))))=>((~tall(mary)|~rich(mary))))&
(![X]:((patient(X)&funny(X))<=>generous(X)))&
(![X]:(~brave(X)=>(~creative(X)|~brave(X))))&
(((~tall(mary)<~>happy(ma... | quiet(alice) | [
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2674315032411704960208972
% SZS output start Proof for 2674315032411704960208972
11. (calm(paul) & ~generous(paul)) <=> ? [X0] : (~quiet(X0) <~> old(X0)) [input p10]
14. ! [X0] : ((old(X0) & ~curious(X0)) <=> ~calm(X0)) [input p13]
16. ! [X0] : (calm(X0) <=> (~rich(X0) & rich(X0))) [input... | 0 |
Everyone who is both not brave and not calm is either not calm or not strong and vice versa.
Everyone who is both patient and not generous is either quiet or not old and vice versa.
If fred is either tall or not rich then someone is both not calm and not happy.
If mary is either not brave or tall then mary is both kind... | Susan is not generous. | entailment | (![X]:((~brave(X)&~calm(X))<=>(~calm(X)<~>~strong(X))))&
(![X]:((patient(X)&~generous(X))<=>(quiet(X)<~>~old(X))))&
(((tall(fred)<~>~rich(fred)))=>(?[X]:((~calm(X)&~happy(X)))))&
(((~brave(mary)<~>tall(mary)))<=>((kind(mary)&generous(mary))))&
(![X]:((humble(X)<~>strong(X))<=>(tall(X)<~>curious(X))))&
(![X]:(~wise(X)<=... | ~generous(susan) | [
"p1",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5632634707793695182801908
% SZS output start Proof for 5632634707793695182801908
2. ! [X0] : ((~generous(X0) & patient(X0)) <=> (quiet(X0) <~> ~old(X0))) [input p1]
11. (generous(susan) | curious(susan)) <=> quiet(susan) [input p10]
16. ! [X0] : ((~old(X0) | ~tall(X0)) <=> (~generous(X0) ... | 0 |
If paul is either not generous or not wise then mary is both funny and not old and vice versa.
If lucy is both calm and curious then someone is either not old or not curious and vice versa.
Everyone who is both tall and not generous is rich or curious.
Everyone who is either not generous or not strong is not generous a... | Mary is creative. | neutral | (((~generous(paul)<~>~wise(paul)))<=>((funny(mary)&~old(mary))))&
(((calm(lucy)&curious(lucy)))<=>(?[X]:((~old(X)<~>~curious(X)))))&
(![X]:((tall(X)&~generous(X))=>(rich(X)|curious(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>~generous(X)))&
(![X]:(rich(X)<=>(~curious(X)|humble(X))))&
(((~kind(susan)|~humble(susan)))<=>... | creative(mary) | [] | null | 0 |
If john is both not creative and patient then someone is brave or curious.
Everyone who is both rich and curious is rich.
If someone is quiet then alice is not generous or generous.
Everyone who is patient is not wise and vice versa.
If someone is wise then fred is both strong and rich.
Everyone who is both not strong ... | Paul is calm. | contradiction | (((~creative(john)&patient(john)))=>(?[X]:((brave(X)|curious(X)))))&
(![X]:((rich(X)&curious(X))=>rich(X)))&
((?[X]:(quiet(X)))=>((~generous(alice)|generous(alice))))&
(![X]:(patient(X)<=>~wise(X)))&
((?[X]:(wise(X)))=>((strong(fred)&rich(fred))))&
(![X]:((~strong(X)&~curious(X))<=>patient(X)))&
((~calm(susan))<=>((~ri... | calm(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4542996790734709863842901
% SZS output start Proof for 4542996790734709863842901
15. ? [X0] : calm(X0) => (rich(paul) & ~rich(paul)) [input p14]
25. calm(paul) [input hypothesis]
43. (rich(paul) & ~rich(paul)) | ! [X0] : ~calm(X0) [ennf transformation 15]
100. ~rich(paul) | ~calm(X0) [cnf... | 0 |
Everyone who is either humble or not creative is not happy or not rich.
Everyone who is not humble or creative is not strong.
Everyone who is not wise is both generous and strong.
If someone is either not quiet or wise then lucy is creative and vice versa.
Everyone who is strong is either curious or calm and vice versa... | Susan is calm. | contradiction | (![X]:((humble(X)<~>~creative(X))=>(~happy(X)|~rich(X))))&
(![X]:((~humble(X)|creative(X))=>~strong(X)))&
(![X]:(~wise(X)=>(generous(X)&strong(X))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(creative(lucy)))&
(![X]:(strong(X)<=>(curious(X)<~>calm(X))))&
(((quiet(lucy)&~kind(lucy)))=>((tall(susan)<~>~patient(susan))))&
((?[X]... | calm(susan) | [
"p1",
"p4",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8619628335577897142414765
% SZS output start Proof for 8619628335577897142414765
2. ! [X0] : ((creative(X0) | ~humble(X0)) => ~strong(X0)) [input p1]
5. ! [X0] : (strong(X0) <=> (curious(X0) <~> calm(X0))) [input p4]
8. ! [X0] : ((curious(X0) <~> tall(X0)) => (~happy(X0) & tall(X0))) [inp... | 0 |
Everyone who is either calm or not strong is either brave or quiet.
Everyone who is patient is not rich.
If someone is either not patient or rich then someone is not curious or old and vice versa.
Everyone who is either kind or calm is patient or not kind.
If someone is not generous or old then someone is either brave ... | Paul is not old. | entailment | (![X]:((calm(X)<~>~strong(X))=>(brave(X)<~>quiet(X))))&
(![X]:(patient(X)=>~rich(X)))&
((?[X]:((~patient(X)<~>rich(X))))<=>(?[X]:((~curious(X)|old(X)))))&
(![X]:((kind(X)<~>calm(X))=>(patient(X)|~kind(X))))&
((?[X]:((~generous(X)|old(X))))=>(?[X]:((brave(X)<~>funny(X)))))&
(((happy(john)<~>~curious(john)))<=>((~kind(ma... | ~old(paul) | [
"p1",
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3560122900644876427380887
% SZS output start Proof for 3560122900644876427380887
2. ! [X0] : (patient(X0) => ~rich(X0)) [input p1]
3. ? [X0] : (~patient(X0) <~> rich(X0)) <=> ? [X0] : (old(X0) | ~curious(X0)) [input p2]
9. ! [X0] : ((~old(X0) | ~patient(X0)) <=> (rich(X0) | patient(X0))) ... | 0 |
If someone is both generous and not happy then someone is generous or not tall. If someone is wise then someone is not humble or old and vice versa. Everyone who is funny or patient is both not kind and humble. If someone is creative or not brave then mary is either rich or patient and vice versa. Everyone who is not r... | John is not patient. | entailment | ((?[X]:((generous(X)&~happy(X))))=>(?[X]:((generous(X)|~tall(X)))))&
((?[X]:(wise(X)))<=>(?[X]:((~humble(X)|old(X)))))&
(![X]:((funny(X)|patient(X))=>(~kind(X)&humble(X))))&
((?[X]:((creative(X)|~brave(X))))<=>((rich(mary)<~>patient(mary))))&
(![X]:((~rich(X)|~calm(X))<=>(wise(X)<~>~humble(X))))&
((?[X]:((~humble(X)<~>... | ~patient(john) | [
"p2",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2420573848090869128492007
% SZS output start Proof for 2420573848090869128492007
3. ! [X0] : ((patient(X0) | funny(X0)) => (humble(X0) & ~kind(X0))) [input p2]
21. ~humble(john) & kind(john) [input p20]
25. patient(john) [input hypothesis]
32. ! [X0] : ((humble(X0) & ~kind(X0)) | (~patien... | 0 |
Everyone who is both not happy and not creative is not tall or funny. Everyone who is both not generous and not rich is not strong and vice versa. Everyone who is brave is both humble and not curious. If alice is either not quiet or quiet then lucy is either not creative or humble. If someone is brave then someone is e... | Susan is wise. | neutral | (![X]:((~happy(X)&~creative(X))=>(~tall(X)|funny(X))))&
(![X]:((~generous(X)&~rich(X))<=>~strong(X)))&
(![X]:(brave(X)=>(humble(X)&~curious(X))))&
(((~quiet(alice)<~>quiet(alice)))=>((~creative(lucy)<~>humble(lucy))))&
((?[X]:(brave(X)))<=>(?[X]:((wise(X)<~>~rich(X)))))&
((?[X]:((calm(X)&~wise(X))))=>(?[X]:((generous(X... | wise(susan) | [] | null | 0 |
Everyone who is both quiet and funny is both not rich and quiet and vice versa. Everyone who is both not generous and curious is humble. Everyone who is either quiet or old is either not creative or curious. Everyone who is rich is either kind or not creative. Everyone who is either calm or not calm is generous or tall... | Paul is humble. | neutral | (![X]:((quiet(X)&funny(X))<=>(~rich(X)&quiet(X))))&
(![X]:((~generous(X)&curious(X))=>humble(X)))&
(![X]:((quiet(X)<~>old(X))=>(~creative(X)<~>curious(X))))&
(![X]:(rich(X)=>(kind(X)<~>~creative(X))))&
(![X]:((calm(X)<~>~calm(X))<=>(generous(X)|tall(X))))&
(![X]:((~strong(X)&calm(X))=>funny(X)))&
(![X]:(~quiet(X)<=>(~c... | humble(paul) | [] | null | 0 |
Everyone who is not creative is tall.
If someone is either wise or not happy then paul is either tall or not funny and vice versa.
Everyone who is either not tall or creative is both funny and not rich and vice versa.
Everyone who is both creative and not old is curious or tall and vice versa.
If someone is either not ... | John is not calm. | entailment | (![X]:(~creative(X)=>tall(X)))&
((?[X]:((wise(X)<~>~happy(X))))<=>((tall(paul)<~>~funny(paul))))&
(![X]:((~tall(X)<~>creative(X))<=>(funny(X)&~rich(X))))&
(![X]:((creative(X)&~old(X))<=>(curious(X)|tall(X))))&
((?[X]:((~brave(X)<~>humble(X))))<=>((~quiet(lucy)|rich(lucy))))&
((?[X]:((~patient(X)|wise(X))))=>(?[X]:(~pat... | ~calm(john) | [
"p3",
"p7",
"p8",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4510700471179818200118479
% SZS output start Proof for 4510700471179818200118479
4. ! [X0] : ((~old(X0) & creative(X0)) <=> (tall(X0) | curious(X0))) [input p3]
8. ! [X0] : ((~old(X0) | patient(X0)) <=> (~happy(X0) | quiet(X0))) [input p7]
9. ! [X0] : (~happy(X0) => (~old(X0) & old(X0))) ... | 0 |
Everyone who is happy or generous is brave or not curious. If susan is both not happy and creative then alice is not curious or brave and vice versa. Everyone who is rich is not happy. Everyone who is patient is not funny or not old and vice versa. Everyone who is funny or not calm is either creative or patient. If som... | Alice is rich. | neutral | (![X]:((happy(X)|generous(X))=>(brave(X)|~curious(X))))&
(((~happy(susan)&creative(susan)))<=>((~curious(alice)|brave(alice))))&
(![X]:(rich(X)=>~happy(X)))&
(![X]:(patient(X)<=>(~funny(X)|~old(X))))&
(![X]:((funny(X)|~calm(X))=>(creative(X)<~>patient(X))))&
((?[X]:(~funny(X)))=>(~brave(fred)))&
(![X]:((patient(X)|gene... | rich(alice) | [] | null | 0 |
If someone is not old then someone is both not creative and not rich.
If someone is either generous or quiet then mary is not generous and vice versa.
Everyone who is funny or not calm is creative or funny and vice versa.
Everyone who is patient or not generous is both not curious and calm.
Everyone who is both not hap... | Mary is calm. | entailment | ((?[X]:(~old(X)))=>(?[X]:((~creative(X)&~rich(X)))))&
((?[X]:((generous(X)<~>quiet(X))))<=>(~generous(mary)))&
(![X]:((funny(X)|~calm(X))<=>(creative(X)|funny(X))))&
(![X]:((patient(X)|~generous(X))=>(~curious(X)&calm(X))))&
(![X]:((~happy(X)&old(X))=>(~funny(X)&~curious(X))))&
((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((g... | calm(mary) | [
"p3",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 738614193066481519216427
% SZS output start Proof for 738614193066481519216427
4. ! [X0] : ((~generous(X0) | patient(X0)) => (calm(X0) & ~curious(X0))) [input p3]
8. ! [X0] : ((~funny(X0) <~> ~patient(X0)) => (~rich(X0) & patient(X0))) [input p7]
23. funny(mary) [input p22]
25. ~calm(mary... | 0 |
If fred is both not curious and wise then susan is not curious or curious and vice versa.
Everyone who is either old or not funny is not patient and vice versa.
If someone is not old then lucy is both not old and generous.
If someone is either not creative or kind then someone is either funny or not calm.
If mary is no... | Mary is calm. | contradiction | (((~curious(fred)&wise(fred)))<=>((~curious(susan)|curious(susan))))&
(![X]:((old(X)<~>~funny(X))<=>~patient(X)))&
((?[X]:(~old(X)))=>((~old(lucy)&generous(lucy))))&
((?[X]:((~creative(X)<~>kind(X))))=>(?[X]:((funny(X)<~>~calm(X)))))&
(((~humble(mary)|happy(mary)))<=>(?[X]:((~happy(X)&~generous(X)))))&
((?[X]:((~funny(... | calm(mary) | [
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6549188823633554090394413
% SZS output start Proof for 6549188823633554090394413
10. ! [X0] : ((~calm(X0) <~> ~humble(X0)) => (~happy(X0) & old(X0))) [input p9]
16. ! [X0] : ((funny(X0) <~> ~calm(X0)) <=> (happy(X0) <~> ~funny(X0))) [input p15]
20. ~wise(mary) & ~humble(mary) [input p19]
... | 0 |
If alice is both generous and not curious then lucy is not tall and vice versa.
If fred is either not creative or curious then paul is either not happy or not tall and vice versa.
Everyone who is wise is generous or not wise and vice versa.
If paul is both not curious and funny then someone is both tall and strong and ... | Paul is not curious. | neutral | (((generous(alice)&~curious(alice)))<=>(~tall(lucy)))&
(((~creative(fred)<~>curious(fred)))<=>((~happy(paul)<~>~tall(paul))))&
(![X]:(wise(X)<=>(generous(X)|~wise(X))))&
(((~curious(paul)&funny(paul)))<=>(?[X]:((tall(X)&strong(X)))))&
((?[X]:((brave(X)&humble(X))))<=>(?[X]:((patient(X)<~>~curious(X)))))&
(![X]:((~rich(... | ~curious(paul) | [] | null | 0 |
Everyone who is creative or not quiet is either generous or not creative and vice versa. If someone is not wise then alice is not patient and vice versa. If someone is not creative then someone is both brave and not old. Everyone who is quiet is curious. If mary is both strong and not curious then someone is not humble... | John is not old. | neutral | (![X]:((creative(X)|~quiet(X))<=>(generous(X)<~>~creative(X))))&
((?[X]:(~wise(X)))<=>(~patient(alice)))&
((?[X]:(~creative(X)))=>(?[X]:((brave(X)&~old(X)))))&
(![X]:(quiet(X)=>curious(X)))&
(((strong(mary)&~curious(mary)))<=>(?[X]:((~humble(X)|~brave(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(~patient(X)&~creative(X))))&... | ~old(john) | [] | null | 0 |
If someone is not brave then someone is either funny or not rich. Everyone who is either kind or strong is either not funny or calm. If someone is calm or creative then someone is both brave and rich. Everyone who is either brave or patient is not rich and vice versa. Everyone who is not tall is not happy. Everyone who... | Mary is not humble. | neutral | ((?[X]:(~brave(X)))=>(?[X]:((funny(X)<~>~rich(X)))))&
(![X]:((kind(X)<~>strong(X))=>(~funny(X)<~>calm(X))))&
((?[X]:((calm(X)|creative(X))))=>(?[X]:((brave(X)&rich(X)))))&
(![X]:((brave(X)<~>patient(X))<=>~rich(X)))&
(![X]:(~tall(X)=>~happy(X)))&
(![X]:((calm(X)<~>tall(X))<=>(~rich(X)&~tall(X))))&
(![X]:(~kind(X)=>(~ki... | ~humble(mary) | [] | null | 0 |
If alice is rich then someone is either kind or happy and vice versa.
If susan is funny then alice is kind or calm.
If someone is either not happy or generous then someone is either not brave or not humble and vice versa.
Everyone who is happy is not funny or not rich.
If someone is calm or not kind then paul is either... | Alice is quiet. | entailment | ((rich(alice))<=>(?[X]:((kind(X)<~>happy(X)))))&
((funny(susan))=>((kind(alice)|calm(alice))))&
((?[X]:((~happy(X)<~>generous(X))))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(![X]:(happy(X)=>(~funny(X)|~rich(X))))&
((?[X]:((calm(X)|~kind(X))))=>((kind(paul)<~>~creative(paul))))&
(![X]:((kind(X)|quiet(X))<=>(funny(X)|~tall(... | quiet(alice) | [
"p0",
"p5",
"p10",
"p12",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8899809580388721244508329
% SZS output start Proof for 8899809580388721244508329
1. rich(alice) <=> ? [X0] : (kind(X0) <~> happy(X0)) [input p0]
6. ! [X0] : ((quiet(X0) | kind(X0)) <=> (~tall(X0) | funny(X0))) [input p5]
11. ! [X0] : (~quiet(X0) <=> (humble(X0) & funny(X0))) [input p10]
1... | 0 |
If mary is either not old or not kind then someone is either old or quiet and vice versa. Everyone who is both not humble and not patient is both not happy and old. Everyone who is not humble or old is strong or generous and vice versa. If susan is both not strong and not kind then someone is happy and vice versa. Ever... | Paul is creative. | entailment | (((~old(mary)<~>~kind(mary)))<=>(?[X]:((old(X)<~>quiet(X)))))&
(![X]:((~humble(X)&~patient(X))=>(~happy(X)&old(X))))&
(![X]:((~humble(X)|old(X))<=>(strong(X)|generous(X))))&
(((~strong(susan)&~kind(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~humble(X)<~>wise(X))=>(kind(X)<~>patient(X))))&
(![X]:((~creative(X)|curious(X))=>... | creative(paul) | [
"p3",
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 301671303514000312557246
% SZS output start Proof for 301671303514000312557246
4. (~kind(susan) & ~strong(susan)) <=> ? [X0] : happy(X0) [input p3]
6. ! [X0] : ((curious(X0) | ~creative(X0)) => (happy(X0) | creative(X0))) [input p5]
7. ? [X0] : ~strong(X0) <=> (~creative(mary) & calm(mary... | 0 |
Everyone who is both not rich and not wise is both not generous and not kind and vice versa.
Everyone who is both not wise and patient is either patient or not tall and vice versa.
If someone is tall or generous then someone is not humble.
If someone is strong then someone is both curious and tall.
Everyone who is wise... | Paul is not curious. | neutral | (![X]:((~rich(X)&~wise(X))<=>(~generous(X)&~kind(X))))&
(![X]:((~wise(X)&patient(X))<=>(patient(X)<~>~tall(X))))&
((?[X]:((tall(X)|generous(X))))=>(?[X]:(~humble(X))))&
((?[X]:(strong(X)))=>(?[X]:((curious(X)&tall(X)))))&
(![X]:((wise(X)|~strong(X))<=>(~generous(X)|~tall(X))))&
(![X]:((~calm(X)|~happy(X))<=>~tall(X)))&... | ~curious(paul) | [] | null | 0 |
If someone is both not happy and not funny then someone is either not strong or calm. Everyone who is not wise is rich. If someone is rich then john is strong. Everyone who is not quiet or not curious is both generous and not calm and vice versa. Everyone who is either generous or quiet is not kind or not happy and vic... | Lucy is not kind. | entailment | ((?[X]:((~happy(X)&~funny(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
(![X]:(~wise(X)=>rich(X)))&
((?[X]:(rich(X)))=>(strong(john)))&
(![X]:((~quiet(X)|~curious(X))<=>(generous(X)&~calm(X))))&
(![X]:((generous(X)<~>quiet(X))<=>(~kind(X)|~happy(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(~calm(... | ~kind(lucy) | [
"p3",
"p4",
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9148073067762641371891960
% SZS output start Proof for 9148073067762641371891960
4. ! [X0] : ((~curious(X0) | ~quiet(X0)) <=> (~calm(X0) & generous(X0))) [input p3]
5. ! [X0] : ((generous(X0) <~> quiet(X0)) <=> (~happy(X0) | ~kind(X0))) [input p4]
8. ! [X0] : ((curious(X0) <~> ~kind(X0)) ... | 0 |
If someone is both not happy and happy then paul is humble or rich.
If lucy is either not calm or curious then lucy is either not brave or old and vice versa.
If mary is both not patient and rich then lucy is both not calm and happy and vice versa.
If someone is wise then mary is both not curious and not wise.
Everyone... | Paul is not happy. | neutral | ((?[X]:((~happy(X)&happy(X))))=>((humble(paul)|rich(paul))))&
(((~calm(lucy)<~>curious(lucy)))<=>((~brave(lucy)<~>old(lucy))))&
(((~patient(mary)&rich(mary)))<=>((~calm(lucy)&happy(lucy))))&
((?[X]:(wise(X)))=>((~curious(mary)&~wise(mary))))&
(![X]:((creative(X)|calm(X))=>(creative(X)<~>old(X))))&
(![X]:((creative(X)&k... | ~happy(paul) | [] | null | 0 |
Everyone who is not brave or humble is both not creative and not tall.
If fred is curious then lucy is not strong or not quiet and vice versa.
If someone is not quiet or curious then someone is wise.
Everyone who is both not old and generous is not brave or brave and vice versa.
Everyone who is both calm and humble is ... | Lucy is old. | contradiction | (![X]:((~brave(X)|humble(X))=>(~creative(X)&~tall(X))))&
((curious(fred))<=>((~strong(lucy)|~quiet(lucy))))&
((?[X]:((~quiet(X)|curious(X))))=>(?[X]:(wise(X))))&
(![X]:((~old(X)&generous(X))<=>(~brave(X)|brave(X))))&
(![X]:((calm(X)&humble(X))=>(happy(X)<~>~rich(X))))&
(![X]:(~kind(X)=>calm(X)))&
(![X]:(calm(X)<=>(~cre... | old(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6619377449231565469431475
% SZS output start Proof for 6619377449231565469431475
4. ! [X0] : ((generous(X0) & ~old(X0)) <=> (brave(X0) | ~brave(X0))) [input p3]
21. old(lucy) [input hypothesis]
37. ! [X0] : (((generous(X0) & ~old(X0)) | (~brave(X0) & brave(X0))) & ((brave(X0) | ~brave(X0)... | 0 |
If someone is either rich or happy then susan is both creative and not old.
Everyone who is not curious or patient is either not funny or patient.
Everyone who is not humble or not quiet is either brave or not calm and vice versa.
Everyone who is both not humble and strong is both old and curious and vice versa.
If som... | Alice is happy. | entailment | ((?[X]:((rich(X)<~>happy(X))))=>((creative(susan)&~old(susan))))&
(![X]:((~curious(X)|patient(X))=>(~funny(X)<~>patient(X))))&
(![X]:((~humble(X)|~quiet(X))<=>(brave(X)<~>~calm(X))))&
(![X]:((~humble(X)&strong(X))<=>(old(X)&curious(X))))&
((?[X]:(quiet(X)))=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)|kind(X))=>(calm(X)|humb... | happy(alice) | [
"p2",
"p8",
"p10",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3951125393688531472611410
% SZS output start Proof for 3951125393688531472611410
3. ! [X0] : ((~quiet(X0) | ~humble(X0)) <=> (brave(X0) <~> ~calm(X0))) [input p2]
9. ! [X0] : (~brave(X0) => quiet(X0)) [input p8]
11. ! [X0] : (~humble(X0) => (rich(X0) & ~old(X0))) [input p10]
14. ! [X0] : ... | 0 |
Everyone who is both not wise and calm is both wise and not curious and vice versa. If someone is both not calm and happy then mary is either generous or not generous. Everyone who is not creative is either patient or not strong and vice versa. If someone is not brave then susan is either not tall or not quiet. Everyon... | Fred is old. | entailment | (![X]:((~wise(X)&calm(X))<=>(wise(X)&~curious(X))))&
((?[X]:((~calm(X)&happy(X))))=>((generous(mary)<~>~generous(mary))))&
(![X]:(~creative(X)<=>(patient(X)<~>~strong(X))))&
((?[X]:(~brave(X)))=>((~tall(susan)<~>~quiet(susan))))&
(![X]:((~brave(X)|~patient(X))=>~generous(X)))&
(![X]:(~brave(X)=>(funny(X)|~wise(X))))&
(... | old(fred) | [
"p0",
"p7",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6880826210815315949656
% SZS output start Proof for 6880826210815315949656
1. ! [X0] : ((calm(X0) & ~wise(X0)) <=> (~curious(X0) & wise(X0))) [input p0]
8. ! [X0] : ((~wise(X0) & kind(X0)) <=> (tall(X0) | brave(X0))) [input p7]
16. ? [X0] : (~brave(X0) | rich(X0)) <=> (old(fred) & ~quiet(... | 0 |
Everyone who is either curious or not strong is not calm and vice versa.
Everyone who is not brave or generous is strong.
Everyone who is both not brave and generous is either calm or not kind.
If fred is both not happy and generous then fred is humble and vice versa.
Everyone who is both wise and not calm is either no... | Lucy is not curious. | entailment | (![X]:((curious(X)<~>~strong(X))<=>~calm(X)))&
(![X]:((~brave(X)|generous(X))=>strong(X)))&
(![X]:((~brave(X)&generous(X))=>(calm(X)<~>~kind(X))))&
(((~happy(fred)&generous(fred)))<=>(humble(fred)))&
(![X]:((wise(X)&~calm(X))=>(~creative(X)<~>calm(X))))&
(![X]:((~humble(X)<~>~quiet(X))<=>(~brave(X)|~humble(X))))&
(![X]... | ~curious(lucy) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4269204459804809343102336
% SZS output start Proof for 4269204459804809343102336
7. ! [X0] : ((wise(X0) | curious(X0)) <=> ~brave(X0)) [input p6]
16. ! [X0] : ((~brave(X0) | happy(X0)) => brave(X0)) [input p15]
23. curious(lucy) [input hypothesis]
35. ! [X0] : (brave(X0) | (brave(X0) & ~h... | 0 |
Everyone who is wise or kind is either not strong or humble and vice versa. Everyone who is wise is both not generous and brave and vice versa. Everyone who is either generous or not curious is not humble or not generous and vice versa. Everyone who is strong or generous is not creative. Everyone who is either brave or... | John is wise. | entailment | (![X]:((wise(X)|kind(X))<=>(~strong(X)<~>humble(X))))&
(![X]:(wise(X)<=>(~generous(X)&brave(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(~humble(X)|~generous(X))))&
(![X]:((strong(X)|generous(X))=>~creative(X)))&
(![X]:((brave(X)<~>~rich(X))=>tall(X)))&
((?[X]:((strong(X)<~>old(X))))=>(?[X]:(patient(X))))&
(![X]:((~cur... | wise(john) | [
"p1",
"p2",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4291746728796815458865767
% SZS output start Proof for 4291746728796815458865767
2. ! [X0] : (wise(X0) <=> (brave(X0) & ~generous(X0))) [input p1]
3. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> (~generous(X0) | ~humble(X0))) [input p2]
7. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> (~cu... | 0 |
Everyone who is not old is strong or not quiet and vice versa.
If lucy is both not strong and tall then someone is patient and vice versa.
If fred is tall then someone is happy or rich and vice versa.
Everyone who is not humble or not strong is both old and happy and vice versa.
If someone is both funny and rich then a... | Lucy is not old. | contradiction | (![X]:(~old(X)<=>(strong(X)|~quiet(X))))&
(((~strong(lucy)&tall(lucy)))<=>(?[X]:(patient(X))))&
((tall(fred))<=>(?[X]:((happy(X)|rich(X)))))&
(![X]:((~humble(X)|~strong(X))<=>(old(X)&happy(X))))&
((?[X]:((funny(X)&rich(X))))=>((~creative(alice)|~funny(alice))))&
((?[X]:((old(X)&brave(X))))=>((old(susan)<~>~tall(susan))... | ~old(lucy) | [
"p1",
"p3",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1703382423373083729155553
% SZS output start Proof for 1703382423373083729155553
2. (tall(lucy) & ~strong(lucy)) <=> ? [X0] : patient(X0) [input p1]
4. ! [X0] : ((~strong(X0) | ~humble(X0)) <=> (happy(X0) & old(X0))) [input p3]
13. ! [X0] : ((~funny(X0) | humble(X0)) <=> (patient(X0) & ~g... | 0 |
Everyone who is brave or wise is not wise or not old.
Everyone who is not calm is not humble.
If fred is both not brave and strong then alice is both tall and not generous.
If paul is both not calm and funny then someone is not creative and vice versa.
Everyone who is not wise or not funny is either tall or not happy.
... | Susan is not creative. | contradiction | (![X]:((brave(X)|wise(X))=>(~wise(X)|~old(X))))&
(![X]:(~calm(X)=>~humble(X)))&
(((~brave(fred)&strong(fred)))=>((tall(alice)&~generous(alice))))&
(((~calm(paul)&funny(paul)))<=>(?[X]:(~creative(X))))&
(![X]:((~wise(X)|~funny(X))=>(tall(X)<~>~happy(X))))&
(((~kind(susan)|calm(susan)))=>(?[X]:((strong(X)|tall(X)))))&
(!... | ~creative(susan) | [
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3650899767771724009257271
% SZS output start Proof for 3650899767771724009257271
4. (funny(paul) & ~calm(paul)) <=> ? [X0] : ~creative(X0) [input p3]
20. humble(paul) & ~funny(paul) [input p19]
24. ~creative(susan) [input hypothesis]
40. ((funny(paul) & ~calm(paul)) | ! [X0] : creative(X0... | 0 |
Everyone who is brave or old is both not funny and kind.
If alice is quiet then someone is both old and not brave.
Everyone who is both humble and not wise is not quiet and vice versa.
If mary is not quiet then someone is not generous and vice versa.
Everyone who is not humble is either not happy or brave and vice vers... | Fred is calm. | contradiction | (![X]:((brave(X)|old(X))=>(~funny(X)&kind(X))))&
((quiet(alice))=>(?[X]:((old(X)&~brave(X)))))&
(![X]:((humble(X)&~wise(X))<=>~quiet(X)))&
((~quiet(mary))<=>(?[X]:(~generous(X))))&
(![X]:(~humble(X)<=>(~happy(X)<~>brave(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((rich(X)|patient(X)))))&
((?[X]:((~old(X)|~wise(X))))=>(?[X]:((~... | calm(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6680245908806049481947872
% SZS output start Proof for 6680245908806049481947872
21. ~calm(fred) [input p20]
23. calm(fred) [input hypothesis]
122. ~calm(fred) [cnf transformation 21]
125. calm(fred) [cnf transformation 23]
297. $false [subsumption resolution 125,122]
% SZS output end Pro... | 0 |
Everyone who is not kind is generous and vice versa.
If someone is rich then someone is not funny.
Everyone who is both not calm and not generous is not brave or quiet.
If alice is either not wise or strong then paul is both brave and creative.
Everyone who is both calm and patient is both not generous and not patient.... | Mary is not patient. | entailment | (![X]:(~kind(X)<=>generous(X)))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(![X]:((~calm(X)&~generous(X))=>(~brave(X)|quiet(X))))&
(((~wise(alice)<~>strong(alice)))=>((brave(paul)&creative(paul))))&
(![X]:((calm(X)&patient(X))=>(~generous(X)&~patient(X))))&
(![X]:((kind(X)|~strong(X))=>(quiet(X)&~happy(X))))&
(((~old(mar... | ~patient(mary) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1567930272204362067935268
% SZS output start Proof for 1567930272204362067935268
1. ! [X0] : (~kind(X0) <=> generous(X0)) [input p0]
5. ! [X0] : ((patient(X0) & calm(X0)) => (~patient(X0) & ~generous(X0))) [input p4]
6. ! [X0] : ((~strong(X0) | kind(X0)) => (~happy(X0) & quiet(X0))) [inpu... | 0 |
Everyone who is both not curious and generous is both rich and not tall and vice versa.
Everyone who is strong or curious is tall or brave and vice versa.
If john is tall then someone is either not patient or creative and vice versa.
If susan is either not kind or quiet then alice is not generous and vice versa.
If ali... | Susan is not kind. | contradiction | (![X]:((~curious(X)&generous(X))<=>(rich(X)&~tall(X))))&
(![X]:((strong(X)|curious(X))<=>(tall(X)|brave(X))))&
((tall(john))<=>(?[X]:((~patient(X)<~>creative(X)))))&
(((~kind(susan)<~>quiet(susan)))<=>(~generous(alice)))&
(((tall(alice)|quiet(alice)))<=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:((~funny(X)<~>~strong(X))=... | ~kind(susan) | [
"p3",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5893012742492599230594657
% SZS output start Proof for 5893012742492599230594657
4. (~kind(susan) <~> quiet(susan)) <=> ~generous(alice) [input p3]
15. ? [X0] : (generous(X0) | ~quiet(X0)) <=> ~tall(lucy) [input p14]
22. ~rich(lucy) & tall(lucy) [input p21]
25. ~kind(susan) [input hypothe... | 0 |
If alice is not funny then fred is both not curious and creative.
If john is either tall or quiet then someone is either not calm or not curious.
If fred is either not brave or tall then paul is calm.
Everyone who is not kind or not rich is either calm or wise.
Everyone who is either not generous or rich is both quiet ... | Lucy is patient. | contradiction | ((~funny(alice))=>((~curious(fred)&creative(fred))))&
(((tall(john)<~>quiet(john)))=>(?[X]:((~calm(X)<~>~curious(X)))))&
(((~brave(fred)<~>tall(fred)))=>(calm(paul)))&
(![X]:((~kind(X)|~rich(X))=>(calm(X)<~>wise(X))))&
(![X]:((~generous(X)<~>rich(X))=>(quiet(X)&old(X))))&
(((~kind(susan)&~calm(susan)))=>((old(susan)<~>... | patient(lucy) | [
"p8",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3877911741709214655266909
% SZS output start Proof for 3877911741709214655266909
9. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (~happy(X0) & old(X0))) [input p8]
10. ? [X0] : (strong(X0) & quiet(X0)) <=> ? [X0] : (old(X0) | ~brave(X0)) [input p9]
13. ! [X0] : ((quiet(X0) <~> rich(X0)) <=> ha... | 0 |
If susan is either not wise or not strong then someone is both not patient and rich and vice versa. If someone is curious then susan is not brave or rich and vice versa. If alice is kind then someone is not strong or not curious and vice versa. Everyone who is both brave and not strong is patient or not quiet and vice ... | John is not funny. | contradiction | (((~wise(susan)<~>~strong(susan)))<=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:(curious(X)))<=>((~brave(susan)|rich(susan))))&
((kind(alice))<=>(?[X]:((~strong(X)|~curious(X)))))&
(![X]:((brave(X)&~strong(X))<=>(patient(X)|~quiet(X))))&
(((funny(mary)&~tall(mary)))<=>(patient(mary)))&
(((~quiet(paul)&~rich(paul)))<=>(?[X... | ~funny(john) | [
"p2",
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6455561987910462681106875
% SZS output start Proof for 6455561987910462681106875
3. kind(alice) <=> ? [X0] : (~curious(X0) | ~strong(X0)) [input p2]
4. ! [X0] : ((~strong(X0) & brave(X0)) <=> (~quiet(X0) | patient(X0))) [input p3]
6. (~rich(paul) & ~quiet(paul)) <=> ? [X0] : (~funny(X0) |... | 0 |
Everyone who is both tall and not humble is not funny or kind and vice versa. If john is both not generous and creative then someone is either not humble or quiet. Everyone who is either funny or not brave is both not strong and old and vice versa. Everyone who is not quiet or humble is either curious or not creative. ... | Paul is brave. | contradiction | (![X]:((tall(X)&~humble(X))<=>(~funny(X)|kind(X))))&
(((~generous(john)&creative(john)))=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:((funny(X)<~>~brave(X))<=>(~strong(X)&old(X))))&
(![X]:((~quiet(X)|humble(X))=>(curious(X)<~>~creative(X))))&
((?[X]:((rich(X)<~>generous(X))))=>(?[X]:((~humble(X)&~generous(X)))))&
(![X]:(... | brave(paul) | [
"p0",
"p2",
"p5",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3950959888782003433724164
% SZS output start Proof for 3950959888782003433724164
1. ! [X0] : ((~humble(X0) & tall(X0)) <=> (kind(X0) | ~funny(X0))) [input p0]
3. ! [X0] : ((funny(X0) <~> ~brave(X0)) <=> (old(X0) & ~strong(X0))) [input p2]
6. ! [X0] : (calm(X0) <=> ~brave(X0)) [input p5]
9... | 0 |
If mary is not funny or not generous then someone is quiet and vice versa.
If mary is curious then someone is wise or funny.
Everyone who is not humble is brave or not quiet and vice versa.
Everyone who is both wise and not generous is not strong or wise and vice versa.
Everyone who is wise is funny or wise and vice ve... | Alice is calm. | entailment | (((~funny(mary)|~generous(mary)))<=>(?[X]:(quiet(X))))&
((curious(mary))=>(?[X]:((wise(X)|funny(X)))))&
(![X]:(~humble(X)<=>(brave(X)|~quiet(X))))&
(![X]:((wise(X)&~generous(X))<=>(~strong(X)|wise(X))))&
(![X]:(wise(X)<=>(funny(X)|wise(X))))&
(((kind(alice)&happy(alice)))=>(?[X]:((~kind(X)&quiet(X)))))&
(((~old(susan)&... | calm(alice) | [
"p9",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3530547449573273898933459
% SZS output start Proof for 3530547449573273898933459
10. ! [X0] : (humble(X0) <=> (~calm(X0) & calm(X0))) [input p9]
11. ! [X0] : ((creative(X0) | ~curious(X0)) <=> (~old(X0) & ~patient(X0))) [input p10]
15. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> (creative(X0) &... | 0 |
If someone is not quiet then someone is both not curious and tall and vice versa.
Everyone who is both brave and not kind is not creative and vice versa.
If alice is curious or not creative then someone is kind.
Everyone who is both curious and not humble is quiet and vice versa.
Everyone who is both wise and creative ... | Lucy is not generous. | neutral | ((?[X]:(~quiet(X)))<=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((brave(X)&~kind(X))<=>~creative(X)))&
(((curious(alice)|~creative(alice)))=>(?[X]:(kind(X))))&
(![X]:((curious(X)&~humble(X))<=>quiet(X)))&
(![X]:((wise(X)&creative(X))=>~quiet(X)))&
(((~quiet(paul)&~humble(paul)))<=>(?[X]:((strong(X)<~>brave(X)))))&
(![X]:(... | ~generous(lucy) | [] | null | 0 |
If paul is either not rich or not kind then susan is either not brave or brave and vice versa. If someone is either not old or not humble then someone is either patient or strong and vice versa. If someone is either kind or generous then john is both happy and brave and vice versa. If someone is either not creative or ... | Paul is not humble. | contradiction | (((~rich(paul)<~>~kind(paul)))<=>((~brave(susan)<~>brave(susan))))&
((?[X]:((~old(X)<~>~humble(X))))<=>(?[X]:((patient(X)<~>strong(X)))))&
((?[X]:((kind(X)<~>generous(X))))<=>((happy(john)&brave(john))))&
((?[X]:((~creative(X)<~>~happy(X))))=>((~tall(fred)|~strong(fred))))&
(![X]:((~curious(X)<~>patient(X))<=>~patient(... | ~humble(paul) | [
"p4",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4533957403398883742771750
% SZS output start Proof for 4533957403398883742771750
5. ! [X0] : ((~curious(X0) <~> patient(X0)) <=> ~patient(X0)) [input p4]
6. ! [X0] : ((~quiet(X0) & curious(X0)) <=> (~kind(X0) <~> ~brave(X0))) [input p5]
14. ! [X0] : ((brave(X0) | ~funny(X0)) <=> curious(X... | 0 |
Everyone who is quiet or not kind is old or tall. Everyone who is creative is either patient or wise and vice versa. Everyone who is both not quiet and not old is creative or not happy and vice versa. Everyone who is not happy is not brave and vice versa. If someone is both not old and kind then someone is not brave or... | Paul is not humble. | neutral | (![X]:((quiet(X)|~kind(X))=>(old(X)|tall(X))))&
(![X]:(creative(X)<=>(patient(X)<~>wise(X))))&
(![X]:((~quiet(X)&~old(X))<=>(creative(X)|~happy(X))))&
(![X]:(~happy(X)<=>~brave(X)))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~brave(X)|~wise(X)))))&
((?[X]:((~kind(X)&brave(X))))=>(?[X]:((calm(X)&~rich(X)))))&
((?[X]:((humble... | ~humble(paul) | [] | null | 0 |
Everyone who is either not rich or not curious 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 calm and vice versa.
Everyone who is creative is not wise.
Everyone who is both creative and not brave is both not calm and not humble and v... | Lucy is generous. | neutral | (![X]:((~rich(X)<~>~curious(X))=>(old(X)<~>~creative(X))))&
(![X]:((kind(X)&~humble(X))=>(~tall(X)<~>~wise(X))))&
(![X]:(~brave(X)<=>calm(X)))&
(![X]:(creative(X)=>~wise(X)))&
(![X]:((creative(X)&~brave(X))<=>(~calm(X)&~humble(X))))&
(![X]:(~strong(X)<=>(kind(X)&~calm(X))))&
((?[X]:((patient(X)&~happy(X))))<=>(happy(jo... | generous(lucy) | [] | null | 0 |
If someone is either funny or not curious then someone is either not humble or not happy. If someone is funny then alice is creative. If paul is not kind then alice is both not brave and not calm. If someone is creative or funny then someone is both not brave and rich and vice versa. Everyone who is either not tall or ... | Paul is kind. | neutral | ((?[X]:((funny(X)<~>~curious(X))))=>(?[X]:((~humble(X)<~>~happy(X)))))&
((?[X]:(funny(X)))=>(creative(alice)))&
((~kind(paul))=>((~brave(alice)&~calm(alice))))&
((?[X]:((creative(X)|funny(X))))<=>(?[X]:((~brave(X)&rich(X)))))&
(![X]:((~tall(X)<~>creative(X))=>(tall(X)&patient(X))))&
((?[X]:((brave(X)|~wise(X))))=>(?[X]... | kind(paul) | [] | null | 0 |
Everyone who is either funny or happy is both not calm and strong and vice versa.
Everyone who is both not calm and calm is humble or creative and vice versa.
Everyone who is both not funny and not patient is not kind or not patient.
If lucy is both not happy and not patient then someone is quiet or not old and vice ve... | Alice is strong. | entailment | (![X]:((funny(X)<~>happy(X))<=>(~calm(X)&strong(X))))&
(![X]:((~calm(X)&calm(X))<=>(humble(X)|creative(X))))&
(![X]:((~funny(X)&~patient(X))=>(~kind(X)|~patient(X))))&
(((~happy(lucy)&~patient(lucy)))<=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:((~old(X)&brave(X))<=>(~funny(X)|happy(X))))&
(((creative(lucy)&~curious(lucy)))=... | strong(alice) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 988685979233528172994944
% SZS output start Proof for 988685979233528172994944
2. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (creative(X0) | humble(X0))) [input p1]
14. ~humble(lucy) <=> (strong(alice) & ~curious(alice)) [input p13]
22. ~strong(alice) [input hypothesis]
36. ! [X0] : (((calm(X0)... | 0 |
Everyone who is old or not calm is either calm or funny and vice versa.
If someone is both funny and not creative then fred is strong or creative.
Everyone who is both strong and creative is either not kind or not happy.
Everyone who is brave or not generous is both not calm and kind.
Everyone who is not brave or not r... | Fred is not kind. | contradiction | (![X]:((old(X)|~calm(X))<=>(calm(X)<~>funny(X))))&
((?[X]:((funny(X)&~creative(X))))=>((strong(fred)|creative(fred))))&
(![X]:((strong(X)&creative(X))=>(~kind(X)<~>~happy(X))))&
(![X]:((brave(X)|~generous(X))=>(~calm(X)&kind(X))))&
(![X]:((~brave(X)|~rich(X))<=>(funny(X)&patient(X))))&
(![X]:((old(X)<~>~brave(X))<=>(cu... | ~kind(fred) | [
"p0",
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4573257645214578537269916
% SZS output start Proof for 4573257645214578537269916
1. ! [X0] : ((~calm(X0) | old(X0)) <=> (calm(X0) <~> funny(X0))) [input p0]
4. ! [X0] : ((~generous(X0) | brave(X0)) => (kind(X0) & ~calm(X0))) [input p3]
5. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (patient(X0... | 0 |
If susan is patient or not kind then someone is either curious or not wise and vice versa.
If paul is both not curious and not funny then susan is both quiet and not generous and vice versa.
Everyone who is both not kind and not creative is both not curious and brave.
Everyone who is both humble and generous is either ... | Paul is not curious. | neutral | (((patient(susan)|~kind(susan)))<=>(?[X]:((curious(X)<~>~wise(X)))))&
(((~curious(paul)&~funny(paul)))<=>((quiet(susan)&~generous(susan))))&
(![X]:((~kind(X)&~creative(X))=>(~curious(X)&brave(X))))&
(![X]:((humble(X)&generous(X))=>(rich(X)<~>kind(X))))&
(![X]:((~funny(X)&~patient(X))=>(quiet(X)<~>~brave(X))))&
(((~wise... | ~curious(paul) | [] | null | 0 |
If someone is either not curious or not quiet then lucy is not calm or not humble.
Everyone who is tall or creative is creative or not wise.
Everyone who is quiet or not strong is either brave or not generous and vice versa.
If fred is not patient then lucy is wise.
If john is wise or patient then someone is both creat... | John is quiet. | neutral | ((?[X]:((~curious(X)<~>~quiet(X))))=>((~calm(lucy)|~humble(lucy))))&
(![X]:((tall(X)|creative(X))=>(creative(X)|~wise(X))))&
(![X]:((quiet(X)|~strong(X))<=>(brave(X)<~>~generous(X))))&
((~patient(fred))=>(wise(lucy)))&
(((wise(john)|patient(john)))<=>(?[X]:((creative(X)&generous(X)))))&
(((curious(susan)&~wise(susan)))... | quiet(john) | [] | null | 0 |
If mary is both not old and not generous then fred is either not tall or not brave and vice versa.
If someone is both not old and not creative then someone is not brave or brave and vice versa.
Everyone who is not calm is either not funny or funny and vice versa.
If someone is both not kind and not tall then mary is hu... | Susan is calm. | contradiction | (((~old(mary)&~generous(mary)))<=>((~tall(fred)<~>~brave(fred))))&
((?[X]:((~old(X)&~creative(X))))<=>(?[X]:((~brave(X)|brave(X)))))&
(![X]:(~calm(X)<=>(~funny(X)<~>funny(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(humble(mary)))&
((?[X]:((tall(X)<~>~calm(X))))<=>((kind(mary)|strong(mary))))&
(![X]:((~calm(X)&~funny(X))<=>(... | calm(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7638761871810352372953728
% SZS output start Proof for 7638761871810352372953728
3. ! [X0] : (~calm(X0) <=> (~funny(X0) <~> funny(X0))) [input p2]
25. calm(susan) [input hypothesis]
45. ! [X0] : ((~calm(X0) | ((~funny(X0) | ~funny(X0)) & (funny(X0) | funny(X0)))) & (((~funny(X0) | funny(X... | 0 |
Everyone who is not creative or creative is not calm and vice versa. Everyone who is both patient and humble is creative and vice versa. If someone is not quiet then someone is either strong or not generous. Everyone who is quiet or not strong is both quiet and calm and vice versa. Everyone who is both not kind and hap... | Fred is patient. | entailment | (![X]:((~creative(X)|creative(X))<=>~calm(X)))&
(![X]:((patient(X)&humble(X))<=>creative(X)))&
((?[X]:(~quiet(X)))=>(?[X]:((strong(X)<~>~generous(X)))))&
(![X]:((quiet(X)|~strong(X))<=>(quiet(X)&calm(X))))&
(![X]:((~kind(X)&happy(X))<=>~creative(X)))&
(![X]:((funny(X)&~curious(X))<=>wise(X)))&
(![X]:(~old(X)=>quiet(X))... | patient(fred) | [
"p0",
"p1",
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3066855138691277160173433
% SZS output start Proof for 3066855138691277160173433
1. ! [X0] : ((creative(X0) | ~creative(X0)) <=> ~calm(X0)) [input p0]
2. ! [X0] : ((humble(X0) & patient(X0)) <=> creative(X0)) [input p1]
4. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (calm(X0) & quiet(X0))) [i... | 0 |
Everyone who is either brave or not brave is not quiet or generous and vice versa.
If someone is calm or not brave then someone is both wise and brave.
Everyone who is not happy is either funny or not happy.
If someone is both not happy and wise then alice is both not patient and calm.
If susan is both rich and not tal... | Alice is quiet. | neutral | (![X]:((brave(X)<~>~brave(X))<=>(~quiet(X)|generous(X))))&
((?[X]:((calm(X)|~brave(X))))=>(?[X]:((wise(X)&brave(X)))))&
(![X]:(~happy(X)=>(funny(X)<~>~happy(X))))&
((?[X]:((~happy(X)&wise(X))))=>((~patient(alice)&calm(alice))))&
(((rich(susan)&~tall(susan)))<=>(?[X]:((humble(X)&wise(X)))))&
((?[X]:((brave(X)<~>kind(X))... | quiet(alice) | [] | null | 0 |
If someone is either rich or funny then paul is not generous.
Everyone who is both funny and not brave is both not calm and humble and vice versa.
If fred is rich or not generous then john is not wise or not strong.
If fred is either brave or not happy then paul is quiet.
Everyone who is either not humble or not brave ... | Alice is not curious. | contradiction | ((?[X]:((rich(X)<~>funny(X))))=>(~generous(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~calm(X)&humble(X))))&
(((rich(fred)|~generous(fred)))=>((~wise(john)|~strong(john))))&
(((brave(fred)<~>~happy(fred)))=>(quiet(paul)))&
(![X]:((~humble(X)<~>~brave(X))<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((... | ~curious(alice) | [
"p1",
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 644535452778489097526229
% SZS output start Proof for 644535452778489097526229
2. ! [X0] : ((~brave(X0) & funny(X0)) <=> (humble(X0) & ~calm(X0))) [input p1]
5. ! [X0] : ((~humble(X0) <~> ~brave(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : ((tall(X0) | creative(X0)) => (~tall(X0) | funny(X0)... | 0 |
Everyone who is kind or not humble is both old and not tall.
Everyone who is strong or old is both not wise and rich and vice versa.
Everyone who is calm or old is both not patient and old and vice versa.
If someone is either not creative or quiet then fred is kind or not happy and vice versa.
If lucy is either not tal... | Paul is curious. | entailment | (![X]:((kind(X)|~humble(X))=>(old(X)&~tall(X))))&
(![X]:((strong(X)|old(X))<=>(~wise(X)&rich(X))))&
(![X]:((calm(X)|old(X))<=>(~patient(X)&old(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>((kind(fred)|~happy(fred))))&
(((~tall(lucy)<~>generous(lucy)))=>((generous(john)<~>happy(john))))&
(![X]:(brave(X)=>~kind(X)))&
(![... | curious(paul) | [
"p0",
"p1",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5053717834264987348507658
% SZS output start Proof for 5053717834264987348507658
1. ! [X0] : ((~humble(X0) | kind(X0)) => (~tall(X0) & old(X0))) [input p0]
2. ! [X0] : ((old(X0) | strong(X0)) <=> (rich(X0) & ~wise(X0))) [input p1]
11. ! [X0] : ((wise(X0) <~> ~funny(X0)) <=> (~patient(X0) ... | 0 |
If someone is strong then paul is not humble and vice versa. Everyone who is not kind is both not tall and not patient and vice versa. Everyone who is both quiet and not kind is generous or not kind and vice versa. Everyone who is either not strong or not generous is not brave. If someone is either not happy or not ric... | Mary is humble. | neutral | ((?[X]:(strong(X)))<=>(~humble(paul)))&
(![X]:(~kind(X)<=>(~tall(X)&~patient(X))))&
(![X]:((quiet(X)&~kind(X))<=>(generous(X)|~kind(X))))&
(![X]:((~strong(X)<~>~generous(X))=>~brave(X)))&
((?[X]:((~happy(X)<~>~rich(X))))<=>(~funny(john)))&
(![X]:((strong(X)|quiet(X))=>generous(X)))&
(![X]:(~humble(X)<=>(rich(X)&~patien... | humble(mary) | [] | null | 0 |
If someone is either not funny or not creative then fred is both calm and humble and vice versa. If someone is either calm or not kind then someone is either not happy or quiet and vice versa. If mary is either patient or rich then someone is funny and vice versa. If john is not funny then fred is not humble or not str... | Susan is not humble. | contradiction | ((?[X]:((~funny(X)<~>~creative(X))))<=>((calm(fred)&humble(fred))))&
((?[X]:((calm(X)<~>~kind(X))))<=>(?[X]:((~happy(X)<~>quiet(X)))))&
(((patient(mary)<~>rich(mary)))<=>(?[X]:(funny(X))))&
((~funny(john))<=>((~humble(fred)|~strong(fred))))&
((?[X]:((~strong(X)&quiet(X))))=>(?[X]:((~brave(X)|quiet(X)))))&
(![X]:((~curi... | ~humble(susan) | [
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5153054028239947903651671
% SZS output start Proof for 5153054028239947903651671
6. ! [X0] : ((~strong(X0) | ~curious(X0)) => wise(X0)) [input p5]
7. ! [X0] : (~humble(X0) <=> ~wise(X0)) [input p6]
15. ! [X0] : (~curious(X0) <=> (~happy(X0) <~> happy(X0))) [input p14]
24. ~humble(susan) [... | 0 |
Everyone who is both not strong and not rich is not calm or calm and vice versa. Everyone who is either brave or funny is wise or not quiet and vice versa. Everyone who is both curious and quiet is both quiet and not funny and vice versa. If someone is either tall or calm then alice is not quiet or not patient. If some... | John is not funny. | entailment | (![X]:((~strong(X)&~rich(X))<=>(~calm(X)|calm(X))))&
(![X]:((brave(X)<~>funny(X))<=>(wise(X)|~quiet(X))))&
(![X]:((curious(X)&quiet(X))<=>(quiet(X)&~funny(X))))&
((?[X]:((tall(X)<~>calm(X))))=>((~quiet(alice)|~patient(alice))))&
((?[X]:((tall(X)&~happy(X))))=>(calm(susan)))&
((?[X]:((~creative(X)<~>strong(X))))=>((wise... | ~funny(john) | [
"p6",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1787722848586678711295321
% SZS output start Proof for 1787722848586678711295321
7. ? [X0] : ~wise(X0) <=> (brave(john) & ~funny(john)) [input p6]
9. ! [X0] : (wise(X0) <=> (~funny(X0) <~> quiet(X0))) [input p8]
17. quiet(alice) <~> funny(alice) [input p16]
25. funny(john) [input hypothes... | 0 |
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