premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is patient or creative is both not generous and humble. Everyone who is not wise or humble is generous and vice versa. If lucy is generous or not quiet then lucy is not tall. If fred is either patient or not generous then alice is rich. Everyone who is not curious or not patient is both not wise and not ca... | Mary is not generous. | contradiction | (![X]:((patient(X)|creative(X))=>(~generous(X)&humble(X))))&
(![X]:((~wise(X)|humble(X))<=>generous(X)))&
(((generous(lucy)|~quiet(lucy)))=>(~tall(lucy)))&
(((patient(fred)<~>~generous(fred)))=>(rich(alice)))&
(![X]:((~curious(X)|~patient(X))=>(~wise(X)&~calm(X))))&
(((wise(alice)<~>brave(alice)))=>(?[X]:((~happy(X)&~b... | ~generous(mary) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1361058705168257917931311
% SZS output start Proof for 1361058705168257917931311
2. ! [X0] : ((humble(X0) | ~wise(X0)) <=> generous(X0)) [input p1]
7. ! [X0] : (wise(X0) => (humble(X0) & strong(X0))) [input p6]
21. ~generous(mary) [input hypothesis]
29. ! [X0] : ((humble(X0) & strong(X0))... | 0 |
Everyone who is either not patient or not happy is patient or not quiet.
Everyone who is not tall is patient or tall.
Everyone who is either quiet or generous is both not rich and not funny.
Everyone who is either not strong or patient is humble or wise and vice versa.
If lucy is both quiet and not quiet then susan is ... | Lucy is quiet. | entailment | (![X]:((~patient(X)<~>~happy(X))=>(patient(X)|~quiet(X))))&
(![X]:(~tall(X)=>(patient(X)|tall(X))))&
(![X]:((quiet(X)<~>generous(X))=>(~rich(X)&~funny(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)|wise(X))))&
(((quiet(lucy)&~quiet(lucy)))<=>(curious(susan)))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~brave(X)<~>~creativ... | quiet(lucy) | [
"p1",
"p3",
"p9",
"p11",
"p12",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1178361045342894993284507
% SZS output start Proof for 1178361045342894993284507
2. ! [X0] : (~tall(X0) => (tall(X0) | patient(X0))) [input p1]
4. ! [X0] : ((~strong(X0) <~> patient(X0)) <=> (wise(X0) | humble(X0))) [input p3]
10. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (kind(X0) & funny(X... | 0 |
If susan is both not happy and creative then someone is both not brave and not patient. If susan is both not rich and not funny then john is both curious and strong. Everyone who is not wise is both rich and wise and vice versa. Everyone who is generous or funny is either curious or happy. Everyone who is generous is b... | Paul is calm. | neutral | (((~happy(susan)&creative(susan)))=>(?[X]:((~brave(X)&~patient(X)))))&
(((~rich(susan)&~funny(susan)))=>((curious(john)&strong(john))))&
(![X]:(~wise(X)<=>(rich(X)&wise(X))))&
(![X]:((generous(X)|funny(X))=>(curious(X)<~>happy(X))))&
(![X]:(generous(X)<=>(~patient(X)&funny(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((~strong(X)... | calm(paul) | [] | null | 0 |
If fred is both old and not funny then mary is either rich or not kind and vice versa.
Everyone who is not brave or not wise is not funny or not kind and vice versa.
If fred is funny then someone is both creative and not rich.
Everyone who is happy is not creative.
If lucy is not tall or curious then susan is either wi... | John is not happy. | neutral | (((old(fred)&~funny(fred)))<=>((rich(mary)<~>~kind(mary))))&
(![X]:((~brave(X)|~wise(X))<=>(~funny(X)|~kind(X))))&
((funny(fred))=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:(happy(X)=>~creative(X)))&
(((~tall(lucy)|curious(lucy)))<=>((wise(susan)<~>humble(susan))))&
((?[X]:((calm(X)|happy(X))))<=>(?[X]:((funny(X)|~funny(... | ~happy(john) | [] | null | 0 |
Everyone who is both not creative and kind is either happy or not tall.
If someone is both funny and not calm then susan is both not patient and generous.
Everyone who is quiet or not strong is not strong or not kind and vice versa.
If someone is both curious and kind then someone is both not rich and generous and vice... | Paul is not curious. | neutral | (![X]:((~creative(X)&kind(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((funny(X)&~calm(X))))=>((~patient(susan)&generous(susan))))&
(![X]:((quiet(X)|~strong(X))<=>(~strong(X)|~kind(X))))&
((?[X]:((curious(X)&kind(X))))<=>(?[X]:((~rich(X)&generous(X)))))&
(((~quiet(susan)&~generous(susan)))=>(?[X]:(funny(X))))&
(![X]:(brave(X)... | ~curious(paul) | [] | null | 0 |
Everyone who is not brave is tall and vice versa.
Everyone who is creative or tall is funny or not tall.
If someone is funny or happy then someone is not funny or not generous and vice versa.
If susan is not kind or generous then someone is either curious or generous and vice versa.
Everyone who is both calm and not cu... | Paul is old. | contradiction | (![X]:(~brave(X)<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((?[X]:((funny(X)|happy(X))))<=>(?[X]:((~funny(X)|~generous(X)))))&
(((~kind(susan)|generous(susan)))<=>(?[X]:((curious(X)<~>generous(X)))))&
(![X]:((calm(X)&~curious(X))<=>funny(X)))&
(![X]:(~old(X)<=>(~humble(X)&~tall(X))))&
((?[X]:((~... | old(paul) | [
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1146842913263846098589568
% SZS output start Proof for 1146842913263846098589568
5. ! [X0] : ((~curious(X0) & calm(X0)) <=> funny(X0)) [input p4]
8. ? [X0] : (~funny(X0) & patient(X0)) <=> (~old(paul) <~> happy(paul)) [input p7]
14. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> (~wise(X0) & wise... | 0 |
Everyone who is happy or not creative is both curious and calm.
If john is both wise and not happy then someone is tall and vice versa.
Everyone who is both tall and not strong is either funny or not old.
Everyone who is humble is either not generous or curious and vice versa.
Everyone who is both curious and not old i... | John is not patient. | neutral | (![X]:((happy(X)|~creative(X))=>(curious(X)&calm(X))))&
(((wise(john)&~happy(john)))<=>(?[X]:(tall(X))))&
(![X]:((tall(X)&~strong(X))=>(funny(X)<~>~old(X))))&
(![X]:(humble(X)<=>(~generous(X)<~>curious(X))))&
(![X]:((curious(X)&~old(X))=>(patient(X)|funny(X))))&
(![X]:(~humble(X)=>(generous(X)|wise(X))))&
(((brave(john... | ~patient(john) | [] | null | 0 |
If paul is not calm then mary is both happy and quiet. Everyone who is both strong and not patient is generous or not funny and vice versa. Everyone who is not wise or not rich is not kind or not curious. If someone is both not strong and creative then someone is not wise or wise. Everyone who is quiet is not kind and ... | Mary is not generous. | entailment | ((~calm(paul))=>((happy(mary)&quiet(mary))))&
(![X]:((strong(X)&~patient(X))<=>(generous(X)|~funny(X))))&
(![X]:((~wise(X)|~rich(X))=>(~kind(X)|~curious(X))))&
((?[X]:((~strong(X)&creative(X))))=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:(quiet(X)<=>~kind(X)))&
(((~funny(alice)|strong(alice)))=>((~funny(mary)<~>quiet(mary)))... | ~generous(mary) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8126989595894482744684117
% SZS output start Proof for 8126989595894482744684117
2. ! [X0] : ((~patient(X0) & strong(X0)) <=> (~funny(X0) | generous(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | ~wise(X0)) => (~curious(X0) | ~kind(X0))) [input p2]
5. ! [X0] : (quiet(X0) <=> ~kind(X0)) [input... | 0 |
If paul is not wise then someone is not calm or not humble.
If someone is either not creative or not happy then someone is both not tall and not calm and vice versa.
If someone is not strong or strong then someone is both happy and not tall and vice versa.
If someone is generous or not humble then john is both not crea... | Alice is rich. | entailment | ((~wise(paul))=>(?[X]:((~calm(X)|~humble(X)))))&
((?[X]:((~creative(X)<~>~happy(X))))<=>(?[X]:((~tall(X)&~calm(X)))))&
((?[X]:((~strong(X)|strong(X))))<=>(?[X]:((happy(X)&~tall(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~creative(john)&~quiet(john))))&
(((~old(alice)<~>~humble(alice)))<=>((funny(lucy)|~quiet(lucy))... | rich(alice) | [
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8729015435527288961829850
% SZS output start Proof for 8729015435527288961829850
6. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (quiet(X0) | curious(X0))) [input p5]
14. ! [X0] : (patient(X0) <=> (creative(X0) & ~patient(X0))) [input p13]
15. ! [X0] : (creative(X0) <=> (~curious(X0) | creativ... | 0 |
If someone is either not tall or old then someone is either calm or funny and vice versa.
Everyone who is not brave or quiet is both not brave and not funny.
If someone is rich or strong then lucy is not funny and vice versa.
Everyone who is not quiet is both not strong and creative and vice versa.
If lucy is both not ... | Lucy is not calm. | entailment | ((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((calm(X)<~>funny(X)))))&
(![X]:((~brave(X)|quiet(X))=>(~brave(X)&~funny(X))))&
((?[X]:((rich(X)|strong(X))))<=>(~funny(lucy)))&
(![X]:(~quiet(X)<=>(~strong(X)&creative(X))))&
(((~curious(lucy)&~creative(lucy)))=>(?[X]:((~creative(X)&rich(X)))))&
(![X]:((~kind(X)|generous(X))<=>(qu... | ~calm(lucy) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"p11",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1874980764326651088673033
% SZS output start Proof for 1874980764326651088673033
1. ? [X0] : (~tall(X0) <~> old(X0)) <=> ? [X0] : (calm(X0) <~> funny(X0)) [input p0]
3. ? [X0] : (strong(X0) | rich(X0)) <=> ~funny(lucy) [input p2]
4. ! [X0] : (~quiet(X0) <=> (creative(X0) & ~strong(X0))) [... | 0 |
If mary is either wise or not wise then someone is both humble and not wise. If paul is not calm then paul is both wise and rich. If someone is either quiet or not creative then susan is not quiet and vice versa. Everyone who is both not strong and brave is not humble and vice versa. If someone is strong or not curious... | Lucy is not funny. | neutral | (((wise(mary)<~>~wise(mary)))=>(?[X]:((humble(X)&~wise(X)))))&
((~calm(paul))=>((wise(paul)&rich(paul))))&
((?[X]:((quiet(X)<~>~creative(X))))<=>(~quiet(susan)))&
(![X]:((~strong(X)&brave(X))<=>~humble(X)))&
((?[X]:((strong(X)|~curious(X))))=>((~brave(mary)|calm(mary))))&
(![X]:((~strong(X)|kind(X))<=>(old(X)|~funny(X)... | ~funny(lucy) | [] | null | 0 |
If someone is both calm and not humble then someone is both not strong and happy and vice versa.
If fred is not generous or not happy then paul is not humble and vice versa.
If mary is generous then someone is either tall or not quiet and vice versa.
Everyone who is either not strong or old is both strong and tall and ... | Paul is patient. | entailment | ((?[X]:((calm(X)&~humble(X))))<=>(?[X]:((~strong(X)&happy(X)))))&
(((~generous(fred)|~happy(fred)))<=>(~humble(paul)))&
((generous(mary))<=>(?[X]:((tall(X)<~>~quiet(X)))))&
(![X]:((~strong(X)<~>old(X))<=>(strong(X)&tall(X))))&
(![X]:((~quiet(X)|happy(X))=>(~curious(X)|rich(X))))&
(![X]:((~kind(X)|~calm(X))=>~curious(X)... | patient(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3786875125456934437388085
% SZS output start Proof for 3786875125456934437388085
10. ! [X0] : ((kind(X0) & ~kind(X0)) <=> (~patient(X0) | funny(X0))) [input p9]
24. ~patient(paul) [input hypothesis]
51. ! [X0] : (((kind(X0) & ~kind(X0)) | (patient(X0) & ~funny(X0))) & ((~patient(X0) | fun... | 0 |
If someone is creative then someone is not patient or strong.
If mary is not kind then someone is either kind or not calm and vice versa.
Everyone who is both not strong and creative is tall and vice versa.
Everyone who is rich is both creative and not happy and vice versa.
Everyone who is not generous or not calm is h... | Lucy is not generous. | entailment | ((?[X]:(creative(X)))=>(?[X]:((~patient(X)|strong(X)))))&
((~kind(mary))<=>(?[X]:((kind(X)<~>~calm(X)))))&
(![X]:((~strong(X)&creative(X))<=>tall(X)))&
(![X]:(rich(X)<=>(creative(X)&~happy(X))))&
(![X]:((~generous(X)|~calm(X))=>(humble(X)|brave(X))))&
(![X]:((~brave(X)<~>brave(X))=>brave(X)))&
((strong(susan))=>(?[X]:(... | ~generous(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3603996503666989940531637
% SZS output start Proof for 3603996503666989940531637
12. ! [X0] : ((quiet(X0) | generous(X0)) => (~generous(X0) & ~strong(X0))) [input p11]
25. generous(lucy) [input hypothesis]
34. ! [X0] : ((~generous(X0) & ~strong(X0)) | (~quiet(X0) & ~generous(X0))) [ennf t... | 0 |
If lucy is not quiet then someone is either not calm or not brave. If someone is either kind or not quiet then susan is not creative or not calm and vice versa. Everyone who is both not calm and funny is curious and vice versa. If someone is not patient then someone is quiet and vice versa. Everyone who is both funny a... | Lucy is brave. | neutral | ((~quiet(lucy))=>(?[X]:((~calm(X)<~>~brave(X)))))&
((?[X]:((kind(X)<~>~quiet(X))))<=>((~creative(susan)|~calm(susan))))&
(![X]:((~calm(X)&funny(X))<=>curious(X)))&
((?[X]:(~patient(X)))<=>(?[X]:(quiet(X))))&
(![X]:((funny(X)&generous(X))=>(kind(X)&funny(X))))&
(![X]:((~curious(X)&brave(X))=>(~wise(X)&wise(X))))&
(((ric... | brave(lucy) | [] | null | 0 |
If someone is either not rich or calm then someone is tall and vice versa.
Everyone who is not funny is creative and vice versa.
Everyone who is either brave or kind is not tall.
If mary is not calm or patient then someone is both not brave and not strong.
Everyone who is not curious is not generous or not old and vice... | Susan is not creative. | entailment | ((?[X]:((~rich(X)<~>calm(X))))<=>(?[X]:(tall(X))))&
(![X]:(~funny(X)<=>creative(X)))&
(![X]:((brave(X)<~>kind(X))=>~tall(X)))&
(((~calm(mary)|patient(mary)))=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:(~curious(X)<=>(~generous(X)|~old(X))))&
(((~happy(mary)&~brave(mary)))<=>(~patient(fred)))&
(![X]:((~curious(X)|~wise(X)... | ~creative(susan) | [
"p1",
"p4",
"p6",
"p9",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7054678712930826592366265
% SZS output start Proof for 7054678712930826592366265
2. ! [X0] : (~funny(X0) <=> creative(X0)) [input p1]
5. ! [X0] : (~curious(X0) <=> (~old(X0) | ~generous(X0))) [input p4]
7. ! [X0] : ((~wise(X0) | ~curious(X0)) => (~patient(X0) & curious(X0))) [input p6]
10... | 0 |
Everyone who is either not wise or curious is not tall.
Everyone who is either rich or not brave is both not quiet and patient.
Everyone who is both old and not brave is not old or brave.
Everyone who is not strong is old or not brave and vice versa.
If john is both not funny and not happy then paul is both patient and... | Lucy is rich. | entailment | (![X]:((~wise(X)<~>curious(X))=>~tall(X)))&
(![X]:((rich(X)<~>~brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((old(X)&~brave(X))=>(~old(X)|brave(X))))&
(![X]:(~strong(X)<=>(old(X)|~brave(X))))&
(((~funny(john)&~happy(john)))=>((patient(paul)&creative(paul))))&
(![X]:((~tall(X)|~calm(X))=>~rich(X)))&
(((strong(mary)|old(ma... | rich(lucy) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2772338832190130743416024
% SZS output start Proof for 2772338832190130743416024
14. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> (funny(X0) | curious(X0))) [input p13]
17. ~funny(lucy) & wise(lucy) [input p16]
24. ~rich(lucy) [input hypothesis]
53. ! [X0] : (((~rich(X0) & ~curious(X0)) | (~f... | 0 |
Everyone who is rich or curious is not funny.
If paul is not tall or not rich then someone is either tall or kind and vice versa.
Everyone who is either not curious or humble is both funny and curious.
Everyone who is not generous or funny is both not creative and not quiet.
Everyone who is brave or curious is not humb... | Paul is not strong. | entailment | (![X]:((rich(X)|curious(X))=>~funny(X)))&
(((~tall(paul)|~rich(paul)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)|happy(X))))&
... | ~strong(paul) | [
"p3",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2004513311717300940944320
% SZS output start Proof for 2004513311717300940944320
4. ! [X0] : ((funny(X0) | ~generous(X0)) => (~quiet(X0) & ~creative(X0))) [input p3]
10. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p9]
14. ! [X0] : ((wise(X0) & creative(X0)) <=> (strong(X0) ... | 0 |
If john is either not patient or wise then someone is either curious or not kind. If someone is both creative and not funny then mary is not old and vice versa. Everyone who is not old is kind. Everyone who is not quiet is both wise and not happy and vice versa. Everyone who is not calm or not old is both quiet and not... | Susan is not creative. | contradiction | (((~patient(john)<~>wise(john)))=>(?[X]:((curious(X)<~>~kind(X)))))&
((?[X]:((creative(X)&~funny(X))))<=>(~old(mary)))&
(![X]:(~old(X)=>kind(X)))&
(![X]:(~quiet(X)<=>(wise(X)&~happy(X))))&
(![X]:((~calm(X)|~old(X))<=>(quiet(X)&~curious(X))))&
((?[X]:((humble(X)&calm(X))))<=>((kind(mary)|~patient(mary))))&
(![X]:((wise(... | ~creative(susan) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4510264763245962385476562
% SZS output start Proof for 4510264763245962385476562
10. ? [X0] : ~creative(X0) <=> (happy(susan) & ~brave(susan)) [input p9]
15. ! [X0] : (~brave(X0) <=> (~tall(X0) & creative(X0))) [input p14]
23. ~creative(susan) [input hypothesis]
49. (? [X0] : ~creative(X0... | 0 |
If someone is brave or curious then paul is either not curious or not generous.
Everyone who is not rich or not quiet is either not brave or not funny.
Everyone who is both not kind and not generous is both generous and curious and vice versa.
Everyone who is not curious is not old or not patient.
If someone is calm or... | Lucy is not patient. | entailment | ((?[X]:((brave(X)|curious(X))))=>((~curious(paul)<~>~generous(paul))))&
(![X]:((~rich(X)|~quiet(X))=>(~brave(X)<~>~funny(X))))&
(![X]:((~kind(X)&~generous(X))<=>(generous(X)&curious(X))))&
(![X]:(~curious(X)=>(~old(X)|~patient(X))))&
((?[X]:((calm(X)|~kind(X))))=>((~humble(mary)<~>wise(mary))))&
(((patient(mary)|~happy... | ~patient(lucy) | [
"p2",
"p8",
"p10",
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6006853299440999146617033
% SZS output start Proof for 6006853299440999146617033
3. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> (curious(X0) & generous(X0))) [input p2]
9. ! [X0] : (humble(X0) <=> (~generous(X0) <~> kind(X0))) [input p8]
11. ! [X0] : ((strong(X0) | ~curious(X0)) => ~kind(X0... | 0 |
Everyone who is either not creative or not quiet is either not creative or not happy.
If mary is both creative and tall then someone is not old and vice versa.
If susan is wise then someone is both not humble and brave.
If someone is generous or not happy then alice is both generous and kind.
If someone is humble then ... | Susan is not tall. | contradiction | (![X]:((~creative(X)<~>~quiet(X))=>(~creative(X)<~>~happy(X))))&
(((creative(mary)&tall(mary)))<=>(?[X]:(~old(X))))&
((wise(susan))=>(?[X]:((~humble(X)&brave(X)))))&
((?[X]:((generous(X)|~happy(X))))=>((generous(alice)&kind(alice))))&
((?[X]:(humble(X)))<=>(?[X]:((~patient(X)<~>~old(X)))))&
(![X]:((~generous(X)<~>gener... | ~tall(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3102450611254099536694743
% SZS output start Proof for 3102450611254099536694743
6. ! [X0] : ((~generous(X0) <~> generous(X0)) => (tall(X0) & ~patient(X0))) [input p5]
25. ~tall(susan) [input hypothesis]
31. ! [X0] : ((tall(X0) & ~patient(X0)) | (~generous(X0) <=> generous(X0))) [ennf tra... | 0 |
Everyone who is both not tall and not kind is funny or brave and vice versa.
If john is quiet then john is either humble or curious and vice versa.
Everyone who is generous is either tall or quiet.
If someone is either not wise or kind then john is both brave and not strong.
Everyone who is not brave is both brave and ... | Mary is generous. | contradiction | (![X]:((~tall(X)&~kind(X))<=>(funny(X)|brave(X))))&
((quiet(john))<=>((humble(john)<~>curious(john))))&
(![X]:(generous(X)=>(tall(X)<~>quiet(X))))&
((?[X]:((~wise(X)<~>kind(X))))=>((brave(john)&~strong(john))))&
(![X]:(~brave(X)=>(brave(X)&~brave(X))))&
(![X]:((calm(X)&~quiet(X))=>~brave(X)))&
((?[X]:((~old(X)|curious(... | generous(mary) | [
"p0",
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2409006866344991924363547
% SZS output start Proof for 2409006866344991924363547
1. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> (brave(X0) | funny(X0))) [input p0]
3. ! [X0] : (generous(X0) => (tall(X0) <~> quiet(X0))) [input p2]
5. ! [X0] : (~brave(X0) => (~brave(X0) & brave(X0))) [input p4]
1... | 0 |
Everyone who is not old is not happy and vice versa.
Everyone who is both not old and brave is both strong and not humble and vice versa.
If someone is either tall or not creative then paul is not curious or not kind and vice versa.
Everyone who is both rich and not strong is both quiet and not calm and vice versa.
Eve... | Mary is kind. | contradiction | (![X]:(~old(X)<=>~happy(X)))&
(![X]:((~old(X)&brave(X))<=>(strong(X)&~humble(X))))&
((?[X]:((tall(X)<~>~creative(X))))<=>((~curious(paul)|~kind(paul))))&
(![X]:((rich(X)&~strong(X))<=>(quiet(X)&~calm(X))))&
(![X]:((~quiet(X)&humble(X))<=>(creative(X)&~humble(X))))&
(![X]:((~wise(X)&old(X))=>(patient(X)<~>funny(X))))&
(... | kind(mary) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6066565677388069804479245
% SZS output start Proof for 6066565677388069804479245
5. ! [X0] : ((humble(X0) & ~quiet(X0)) <=> (~humble(X0) & creative(X0))) [input p4]
14. ! [X0] : ((creative(X0) & ~humble(X0)) <=> kind(X0)) [input p13]
25. kind(mary) [input hypothesis]
47. ! [X0] : (((humbl... | 0 |
If someone is either tall or rich then john is kind and vice versa.
If someone is generous then someone is both not brave and not curious and vice versa.
Everyone who is not happy or not brave is either kind or not brave and vice versa.
If someone is both not humble and not patient then someone is either rich or funny.... | Lucy is not happy. | entailment | ((?[X]:((tall(X)<~>rich(X))))<=>(kind(john)))&
((?[X]:(generous(X)))<=>(?[X]:((~brave(X)&~curious(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(kind(X)<~>~brave(X))))&
((?[X]:((~humble(X)&~patient(X))))=>(?[X]:((rich(X)<~>funny(X)))))&
(![X]:((~kind(X)&curious(X))<=>(~tall(X)<~>strong(X))))&
(((creative(susan)|~kind(susan)))... | ~happy(lucy) | [
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5306924594508456399680406
% SZS output start Proof for 5306924594508456399680406
3. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> (kind(X0) <~> ~brave(X0))) [input p2]
9. ! [X0] : (~strong(X0) <=> (strong(X0) <~> ~generous(X0))) [input p8]
13. generous(paul) <=> ? [X0] : (~kind(X0) | generous(X... | 0 |
If mary is either generous or not generous then someone is either curious or not brave and vice versa.
Everyone who is not tall is both rich and quiet.
Everyone who is happy is both old and creative and vice versa.
Everyone who is curious is strong or not quiet and vice versa.
Everyone who is strong is wise or funny.
E... | Alice is not wise. | contradiction | (((generous(mary)<~>~generous(mary)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(![X]:(~tall(X)=>(rich(X)&quiet(X))))&
(![X]:(happy(X)<=>(old(X)&creative(X))))&
(![X]:(curious(X)<=>(strong(X)|~quiet(X))))&
(![X]:(strong(X)=>(wise(X)|funny(X))))&
(![X]:((kind(X)&~kind(X))=>(~old(X)<~>~happy(X))))&
(![X]:((happy(X)&quiet(X))... | ~wise(alice) | [
"p1",
"p3",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 33934167126832995886906
% SZS output start Proof for 33934167126832995886906
2. ! [X0] : (~tall(X0) => (quiet(X0) & rich(X0))) [input p1]
4. ! [X0] : (curious(X0) <=> (~quiet(X0) | strong(X0))) [input p3]
12. (~humble(john) | quiet(john)) <=> (~quiet(alice) & kind(alice)) [input p11]
13. ... | 0 |
If someone is both not patient and creative then susan is quiet and vice versa. Everyone who is both generous and not generous is kind or not generous and vice versa. Everyone who is not generous or calm is strong or old. If someone is not quiet or not brave then john is not brave or quiet and vice versa. If paul is qu... | Fred is funny. | neutral | ((?[X]:((~patient(X)&creative(X))))<=>(quiet(susan)))&
(![X]:((generous(X)&~generous(X))<=>(kind(X)|~generous(X))))&
(![X]:((~generous(X)|calm(X))=>(strong(X)|old(X))))&
((?[X]:((~quiet(X)|~brave(X))))<=>((~brave(john)|quiet(john))))&
(((quiet(paul)|wise(paul)))<=>(?[X]:((~brave(X)|happy(X)))))&
(![X]:(creative(X)=>(ca... | funny(fred) | [] | null | 0 |
If john is both kind and not funny then someone is not creative. Everyone who is either not happy or not quiet is both tall and not creative. Everyone who is quiet is not rich or not calm. If john is either strong or generous then someone is either not brave or not humble and vice versa. Everyone who is not tall is bot... | Susan is not humble. | neutral | (((kind(john)&~funny(john)))=>(?[X]:(~creative(X))))&
(![X]:((~happy(X)<~>~quiet(X))=>(tall(X)&~creative(X))))&
(![X]:(quiet(X)=>(~rich(X)|~calm(X))))&
(((strong(john)<~>generous(john)))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(![X]:(~tall(X)=>(~curious(X)&~strong(X))))&
(![X]:((rich(X)<~>wise(X))=>(~quiet(X)&~humble(X))... | ~humble(susan) | [] | null | 0 |
Everyone who is both creative and not calm is not creative or not happy. Everyone who is either quiet or kind is rich or calm and vice versa. Everyone who is not funny is both not generous and calm and vice versa. If paul is both happy and not wise then someone is wise. Everyone who is not funny or tall is both rich an... | Paul is calm. | contradiction | (![X]:((creative(X)&~calm(X))=>(~creative(X)|~happy(X))))&
(![X]:((quiet(X)<~>kind(X))<=>(rich(X)|calm(X))))&
(![X]:(~funny(X)<=>(~generous(X)&calm(X))))&
(((happy(paul)&~wise(paul)))=>(?[X]:(wise(X))))&
(![X]:((~funny(X)|tall(X))=>(rich(X)&~tall(X))))&
(![X]:((calm(X)|tall(X))<=>(curious(X)&old(X))))&
(![X]:((~quiet(X... | calm(paul) | [
"p2",
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4991775215200866364322642
% SZS output start Proof for 4991775215200866364322642
3. ! [X0] : (~funny(X0) <=> (calm(X0) & ~generous(X0))) [input p2]
6. ! [X0] : ((tall(X0) | calm(X0)) <=> (old(X0) & curious(X0))) [input p5]
12. ! [X0] : (curious(X0) <=> (~generous(X0) & strong(X0))) [input... | 0 |
Everyone who is either brave or rich is not patient or not quiet.
If paul is old then someone is either kind or not old.
If someone is either not calm or not patient then someone is wise.
Everyone who is either curious or funny is both not strong and funny and vice versa.
If mary is not quiet or calm then someone is no... | Mary is calm. | neutral | (![X]:((brave(X)<~>rich(X))=>(~patient(X)|~quiet(X))))&
((old(paul))=>(?[X]:((kind(X)<~>~old(X)))))&
((?[X]:((~calm(X)<~>~patient(X))))=>(?[X]:(wise(X))))&
(![X]:((curious(X)<~>funny(X))<=>(~strong(X)&funny(X))))&
(((~quiet(mary)|calm(mary)))=>(?[X]:((~old(X)|calm(X)))))&
(![X]:((~curious(X)&~calm(X))=>(~funny(X)<~>cal... | calm(mary) | [] | null | 0 |
If alice is either humble or not wise then someone is not funny.
Everyone who is either not quiet or kind is both curious and brave and vice versa.
Everyone who is creative is kind or generous.
If someone is not rich or happy then mary is not brave or happy.
Everyone who is both not patient and not kind is not curious ... | Alice is humble. | entailment | (((humble(alice)<~>~wise(alice)))=>(?[X]:(~funny(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(curious(X)&brave(X))))&
(![X]:(creative(X)=>(kind(X)|generous(X))))&
((?[X]:((~rich(X)|happy(X))))=>((~brave(mary)|happy(mary))))&
(![X]:((~patient(X)&~kind(X))<=>~curious(X)))&
(((~quiet(john)|wise(john)))<=>(?[X]:((curious(X)&~cur... | humble(alice) | [
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 62238056426123087595371
% SZS output start Proof for 62238056426123087595371
7. ! [X0] : ((kind(X0) & old(X0)) <=> (~old(X0) <~> creative(X0))) [input p6]
8. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~kind(X0) | ~quiet(X0))) [input p7]
11. ! [X0] : (creative(X0) => (~happy(X0) & humble(X0))) ... | 0 |
Everyone who is both not wise and not tall is not quiet.
Everyone who is happy is not strong or rich and vice versa.
Everyone who is happy is kind.
If someone is not quiet then someone is either not calm or not generous.
If mary is both happy and humble then someone is either strong or not creative and vice versa.
If l... | Paul is not happy. | contradiction | (![X]:((~wise(X)&~tall(X))=>~quiet(X)))&
(![X]:(happy(X)<=>(~strong(X)|rich(X))))&
(![X]:(happy(X)=>kind(X)))&
((?[X]:(~quiet(X)))=>(?[X]:((~calm(X)<~>~generous(X)))))&
(((happy(mary)&humble(mary)))<=>(?[X]:((strong(X)<~>~creative(X)))))&
((~old(lucy))=>((wise(fred)<~>~quiet(fred))))&
((?[X]:((~creative(X)|calm(X))))<=... | ~happy(paul) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4963620409351210027518313
% SZS output start Proof for 4963620409351210027518313
2. ! [X0] : (happy(X0) <=> (rich(X0) | ~strong(X0))) [input p1]
22. ~creative(paul) & rich(paul) [input p21]
24. ~happy(paul) [input hypothesis]
37. ! [X0] : ((happy(X0) | (~rich(X0) & strong(X0))) & ((rich(X... | 0 |
Everyone who is not kind or not generous is quiet or not humble and vice versa.
If someone is curious or quiet then someone is not tall.
If alice is not curious then someone is not brave and vice versa.
If someone is not quiet or not funny then someone is tall or patient and vice versa.
If susan is both generous and pa... | Lucy is not kind. | entailment | (![X]:((~kind(X)|~generous(X))<=>(quiet(X)|~humble(X))))&
((?[X]:((curious(X)|quiet(X))))=>(?[X]:(~tall(X))))&
((~curious(alice))<=>(?[X]:(~brave(X))))&
((?[X]:((~quiet(X)|~funny(X))))<=>(?[X]:((tall(X)|patient(X)))))&
(((generous(susan)&patient(susan)))=>(?[X]:(generous(X))))&
(![X]:((wise(X)|rich(X))=>(~quiet(X)|~kin... | ~kind(lucy) | [
"p0",
"p5",
"p6",
"p9",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 847889088208352298435221
% SZS output start Proof for 847889088208352298435221
1. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (~humble(X0) | quiet(X0))) [input p0]
6. ! [X0] : ((rich(X0) | wise(X0)) => (~kind(X0) | ~quiet(X0))) [input p5]
7. ! [X0] : (humble(X0) <=> ~tall(X0)) [input p6]
10... | 0 |
Everyone who is not old is not happy or old and vice versa. If someone is brave or not happy then someone is humble or not wise. Everyone who is not patient or humble is patient and vice versa. If paul is either not old or not quiet then someone is generous and vice versa. Everyone who is strong is not creative or not ... | John is old. | contradiction | (![X]:(~old(X)<=>(~happy(X)|old(X))))&
((?[X]:((brave(X)|~happy(X))))=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:((~patient(X)|humble(X))<=>patient(X)))&
(((~old(paul)<~>~quiet(paul)))<=>(?[X]:(generous(X))))&
(![X]:(strong(X)=>(~creative(X)|~happy(X))))&
(![X]:((~creative(X)&tall(X))<=>rich(X)))&
(((~curious(alice)<~>~wis... | old(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7165660133101332936501677
% SZS output start Proof for 7165660133101332936501677
1. ! [X0] : (~old(X0) <=> (old(X0) | ~happy(X0))) [input p0]
24. old(john) [input hypothesis]
42. ! [X0] : ((~old(X0) | (~old(X0) & happy(X0))) & ((old(X0) | ~happy(X0)) | old(X0))) [nnf transformation 1]
43.... | 0 |
Everyone who is not curious or not patient is either not generous or not creative.
Everyone who is happy is not strong or not funny.
Everyone who is not quiet or wise is both brave and old.
If lucy is rich or tall then paul is not humble and vice versa.
Everyone who is creative is not patient.
Everyone who is strong is... | Fred is not humble. | entailment | (![X]:((~curious(X)|~patient(X))=>(~generous(X)<~>~creative(X))))&
(![X]:(happy(X)=>(~strong(X)|~funny(X))))&
(![X]:((~quiet(X)|wise(X))=>(brave(X)&old(X))))&
(((rich(lucy)|tall(lucy)))<=>(~humble(paul)))&
(![X]:(creative(X)=>~patient(X)))&
(![X]:(strong(X)<=>(rich(X)|~kind(X))))&
(![X]:((~patient(X)&generous(X))<=>(~b... | ~humble(fred) | [
"p2",
"p6",
"p7",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6494209085882490187543850
% SZS output start Proof for 6494209085882490187543850
3. ! [X0] : ((wise(X0) | ~quiet(X0)) => (old(X0) & brave(X0))) [input p2]
7. ! [X0] : ((generous(X0) & ~patient(X0)) <=> (curious(X0) | ~brave(X0))) [input p6]
8. ! [X0] : ((funny(X0) | generous(X0)) => (funn... | 0 |
If susan is both not brave and old then fred is both not old and not patient and vice versa. If someone is not rich or kind then susan is either funny or brave and vice versa. If susan is not curious then someone is happy. If susan is calm or rich then paul is both not quiet and not curious. If alice is not creative th... | Susan is not funny. | entailment | (((~brave(susan)&old(susan)))<=>((~old(fred)&~patient(fred))))&
((?[X]:((~rich(X)|kind(X))))<=>((funny(susan)<~>brave(susan))))&
((~curious(susan))=>(?[X]:(happy(X))))&
(((calm(susan)|rich(susan)))=>((~quiet(paul)&~curious(paul))))&
((~creative(alice))=>((~rich(alice)<~>kind(alice))))&
(![X]:((creative(X)<~>~brave(X))<... | ~funny(susan) | [
"p6",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6186771339029363534614502
% SZS output start Proof for 6186771339029363534614502
7. ! [X0] : ((~old(X0) & creative(X0)) <=> (~generous(X0) & ~kind(X0))) [input p6]
11. ! [X0] : ((~curious(X0) & creative(X0)) <=> (funny(X0) | ~quiet(X0))) [input p10]
13. ! [X0] : (~curious(X0) => (~old(X0)... | 0 |
If someone is kind or tall then paul is either strong or not generous and vice versa.
Everyone who is curious or patient is both not kind and not happy.
If mary is not wise then someone is both quiet and not patient and vice versa.
Everyone who is not generous is not patient and vice versa.
Everyone who is tall or not ... | Fred is not brave. | neutral | ((?[X]:((kind(X)|tall(X))))<=>((strong(paul)<~>~generous(paul))))&
(![X]:((curious(X)|patient(X))=>(~kind(X)&~happy(X))))&
((~wise(mary))<=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:(~generous(X)<=>~patient(X)))&
(![X]:((tall(X)|~curious(X))=>(strong(X)&~strong(X))))&
(![X]:(old(X)<=>(~kind(X)&~calm(X))))&
(![X]:(patient... | ~brave(fred) | [] | null | 0 |
Everyone who is both curious and quiet is not tall or happy and vice versa.
Everyone who is both not curious and not happy is both not kind and patient and vice versa.
Everyone who is either not calm or creative is not brave or not strong and vice versa.
Everyone who is quiet is not quiet or calm.
If someone is not bra... | Fred is not kind. | contradiction | (![X]:((curious(X)&quiet(X))<=>(~tall(X)|happy(X))))&
(![X]:((~curious(X)&~happy(X))<=>(~kind(X)&patient(X))))&
(![X]:((~calm(X)<~>creative(X))<=>(~brave(X)|~strong(X))))&
(![X]:(quiet(X)=>(~quiet(X)|calm(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(curious(X))))&
((?[X]:(patient(X)))<=>(?[X]:((wise(X)&happy(X)))))&
(((kind(fre... | ~kind(fred) | [
"p0",
"p1",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7559408381097918894174436
% SZS output start Proof for 7559408381097918894174436
1. ! [X0] : ((quiet(X0) & curious(X0)) <=> (happy(X0) | ~tall(X0))) [input p0]
2. ! [X0] : ((~happy(X0) & ~curious(X0)) <=> (patient(X0) & ~kind(X0))) [input p1]
6. ? [X0] : patient(X0) <=> ? [X0] : (happy(X0... | 0 |
If someone is both not quiet and creative then susan is both old and funny. If someone is curious or not kind then susan is generous or not generous and vice versa. Everyone who is old or funny is rich or not kind and vice versa. If someone is not tall then mary is not old or not calm. Everyone who is not rich is eithe... | John is not patient. | entailment | ((?[X]:((~quiet(X)&creative(X))))=>((old(susan)&funny(susan))))&
((?[X]:((curious(X)|~kind(X))))<=>((generous(susan)|~generous(susan))))&
(![X]:((old(X)|funny(X))<=>(rich(X)|~kind(X))))&
((?[X]:(~tall(X)))=>((~old(mary)|~calm(mary))))&
(![X]:(~rich(X)=>(~wise(X)<~>~creative(X))))&
(![X]:((patient(X)|happy(X))=>(creativ... | ~patient(john) | [
"p5",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3103087744292426021681044
% SZS output start Proof for 3103087744292426021681044
6. ! [X0] : ((happy(X0) | patient(X0)) => (~brave(X0) & creative(X0))) [input p5]
11. ! [X0] : ((~brave(X0) | creative(X0)) => ~humble(X0)) [input p10]
22. humble(john) & rich(john) [input p21]
25. patient(jo... | 0 |
If someone is tall or wise then lucy is both generous and quiet.
If alice is not calm or strong then someone is either not calm or not brave and vice versa.
Everyone who is not calm is both calm and not kind and vice versa.
Everyone who is either not funny or wise is both not curious and tall and vice versa.
If someone... | Lucy is creative. | contradiction | ((?[X]:((tall(X)|wise(X))))=>((generous(lucy)&quiet(lucy))))&
(((~calm(alice)|strong(alice)))<=>(?[X]:((~calm(X)<~>~brave(X)))))&
(![X]:(~calm(X)<=>(calm(X)&~kind(X))))&
(![X]:((~funny(X)<~>wise(X))<=>(~curious(X)&tall(X))))&
((?[X]:(~happy(X)))=>(brave(susan)))&
(![X]:(~strong(X)=>(funny(X)&rich(X))))&
(![X]:((~kind(X... | creative(lucy) | [
"p2",
"p6",
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2195916745672172073946178
% SZS output start Proof for 2195916745672172073946178
3. ! [X0] : (~calm(X0) <=> (~kind(X0) & calm(X0))) [input p2]
7. ! [X0] : ((~kind(X0) <~> calm(X0)) => patient(X0)) [input p6]
10. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (creative(X0) <~> patient(X0))) [inpu... | 0 |
If someone is not happy or not old then paul is not wise and vice versa. Everyone who is funny or tall is both not kind and old and vice versa. Everyone who is both brave and rich is not rich or not patient and vice versa. If john is either not generous or quiet then someone is not patient or rich and vice versa. If su... | John is not kind. | entailment | ((?[X]:((~happy(X)|~old(X))))<=>(~wise(paul)))&
(![X]:((funny(X)|tall(X))<=>(~kind(X)&old(X))))&
(![X]:((brave(X)&rich(X))<=>(~rich(X)|~patient(X))))&
(((~generous(john)<~>quiet(john)))<=>(?[X]:((~patient(X)|rich(X)))))&
(((kind(susan)|~tall(susan)))=>((~happy(susan)<~>rich(susan))))&
((?[X]:((~rich(X)<~>patient(X))))<... | ~kind(john) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2715895006102042370274547
% SZS output start Proof for 2715895006102042370274547
2. ! [X0] : ((tall(X0) | funny(X0)) <=> (old(X0) & ~kind(X0))) [input p1]
20. funny(john) [input p19]
24. kind(john) [input hypothesis]
38. ! [X0] : (((tall(X0) | funny(X0)) | (~old(X0) | kind(X0))) & ((old(X... | 0 |
Everyone who is either calm or not wise is not creative and vice versa. Everyone who is both not generous and calm is either not wise or not funny. Everyone who is both not quiet and patient is both wise and not funny. Everyone who is not strong is not curious or patient and vice versa. If paul is both not quiet and no... | Lucy is creative. | neutral | (![X]:((calm(X)<~>~wise(X))<=>~creative(X)))&
(![X]:((~generous(X)&calm(X))=>(~wise(X)<~>~funny(X))))&
(![X]:((~quiet(X)&patient(X))=>(wise(X)&~funny(X))))&
(![X]:(~strong(X)<=>(~curious(X)|patient(X))))&
(((~quiet(paul)&~patient(paul)))<=>(?[X]:((~wise(X)&wise(X)))))&
(![X]:((~brave(X)&brave(X))<=>(kind(X)&quiet(X))))... | creative(lucy) | [] | null | 0 |
Everyone who is both not calm and not old is not tall or not strong and vice versa.
If someone is quiet then mary is either generous or not calm and vice versa.
Everyone who is brave is not patient.
Everyone who is not tall is both calm and not strong.
If mary is either old or brave then alice is both rich and not calm... | Mary is brave. | neutral | (![X]:((~calm(X)&~old(X))<=>(~tall(X)|~strong(X))))&
((?[X]:(quiet(X)))<=>((generous(mary)<~>~calm(mary))))&
(![X]:(brave(X)=>~patient(X)))&
(![X]:(~tall(X)=>(calm(X)&~strong(X))))&
(((old(mary)<~>brave(mary)))=>((rich(alice)&~calm(alice))))&
(((calm(mary)<~>~calm(mary)))=>(?[X]:(~wise(X))))&
(![X]:((brave(X)<~>~happy(... | brave(mary) | [] | null | 0 |
Everyone who is both kind and rich is not generous. Everyone who is kind or happy is not quiet or wise. Everyone who is happy or not old is not tall or not calm and vice versa. Everyone who is tall or not strong is either not generous or not humble and vice versa. Everyone who is generous is not calm or quiet. If someo... | Mary is not generous. | entailment | (![X]:((kind(X)&rich(X))=>~generous(X)))&
(![X]:((kind(X)|happy(X))=>(~quiet(X)|wise(X))))&
(![X]:((happy(X)|~old(X))<=>(~tall(X)|~calm(X))))&
(![X]:((tall(X)|~strong(X))<=>(~generous(X)<~>~humble(X))))&
(![X]:(generous(X)=>(~calm(X)|quiet(X))))&
((?[X]:((~patient(X)<~>rich(X))))<=>((funny(mary)&generous(mary))))&
((?[... | ~generous(mary) | [
"p3",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2370778367085603875618294
% SZS output start Proof for 2370778367085603875618294
4. ! [X0] : ((~strong(X0) | tall(X0)) <=> (~generous(X0) <~> ~humble(X0))) [input p3]
8. ! [X0] : ((~rich(X0) & tall(X0)) <=> (generous(X0) <~> ~funny(X0))) [input p7]
13. ? [X0] : (creative(X0) & brave(X0)) ... | 0 |
If someone is not old then someone is funny or not patient. Everyone who is happy is both rich and humble and vice versa. Everyone who is not strong or not creative is not quiet or strong and vice versa. Everyone who is both calm and funny is humble or not creative. If lucy is not funny then john is both humble and not... | Lucy is quiet. | neutral | ((?[X]:(~old(X)))=>(?[X]:((funny(X)|~patient(X)))))&
(![X]:(happy(X)<=>(rich(X)&humble(X))))&
(![X]:((~strong(X)|~creative(X))<=>(~quiet(X)|strong(X))))&
(![X]:((calm(X)&funny(X))=>(humble(X)|~creative(X))))&
((~funny(lucy))<=>((humble(john)&~kind(john))))&
((?[X]:((generous(X)&quiet(X))))<=>((~tall(john)&~generous(joh... | quiet(lucy) | [] | null | 0 |
Everyone who is either wise or kind is tall or not old and vice versa.
Everyone who is not humble is either not strong or not tall.
Everyone who is both rich and funny is both creative and funny and vice versa.
Everyone who is not generous or not calm is either brave or creative.
Everyone who is generous is either not ... | Susan is not happy. | entailment | (![X]:((wise(X)<~>kind(X))<=>(tall(X)|~old(X))))&
(![X]:(~humble(X)=>(~strong(X)<~>~tall(X))))&
(![X]:((rich(X)&funny(X))<=>(creative(X)&funny(X))))&
(![X]:((~generous(X)|~calm(X))=>(brave(X)<~>creative(X))))&
(![X]:(generous(X)=>(~strong(X)<~>~curious(X))))&
(![X]:((~brave(X)|~old(X))=>(patient(X)&~humble(X))))&
(![X]... | ~happy(susan) | [
"p5",
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2080801889433550414780688
% SZS output start Proof for 2080801889433550414780688
6. ! [X0] : ((~old(X0) | ~brave(X0)) => (~humble(X0) & patient(X0))) [input p5]
7. ! [X0] : (happy(X0) <=> ~brave(X0)) [input p6]
18. ~patient(susan) [input p17]
25. happy(susan) [input hypothesis]
29. ! [X0]... | 0 |
Everyone who is either not rich or wise is not wise or not calm and vice versa.
Everyone who is wise is calm or not strong.
Everyone who is not quiet is either strong or rich.
If someone is both quiet and not humble then someone is quiet.
Everyone who is either quiet or not funny is not humble and vice versa.
If someon... | Paul is not creative. | neutral | (![X]:((~rich(X)<~>wise(X))<=>(~wise(X)|~calm(X))))&
(![X]:(wise(X)=>(calm(X)|~strong(X))))&
(![X]:(~quiet(X)=>(strong(X)<~>rich(X))))&
((?[X]:((quiet(X)&~humble(X))))=>(?[X]:(quiet(X))))&
(![X]:((quiet(X)<~>~funny(X))<=>~humble(X)))&
((?[X]:(kind(X)))<=>(?[X]:((happy(X)<~>~kind(X)))))&
(![X]:((humble(X)<~>tall(X))<=>(... | ~creative(paul) | [] | null | 0 |
If someone is either not quiet or not happy then someone is not creative.
If lucy is either not generous or old then someone is not strong.
Everyone who is either quiet or wise is strong and vice versa.
If lucy is either creative or kind then someone is generous or strong and vice versa.
Everyone who is not humble or n... | John is not rich. | entailment | ((?[X]:((~quiet(X)<~>~happy(X))))=>(?[X]:(~creative(X))))&
(((~generous(lucy)<~>old(lucy)))=>(?[X]:(~strong(X))))&
(![X]:((quiet(X)<~>wise(X))<=>strong(X)))&
(((creative(lucy)<~>kind(lucy)))<=>(?[X]:((generous(X)|strong(X)))))&
(![X]:((~humble(X)|~generous(X))=>(kind(X)|~patient(X))))&
(![X]:(~humble(X)<=>~wise(X)))&
(... | ~rich(john) | [
"p2",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 282043632185506162256541
% SZS output start Proof for 282043632185506162256541
3. ! [X0] : ((quiet(X0) <~> wise(X0)) <=> strong(X0)) [input p2]
6. ! [X0] : (~humble(X0) <=> ~wise(X0)) [input p5]
9. ! [X0] : ((quiet(X0) <~> humble(X0)) <=> (humble(X0) & ~humble(X0))) [input p8]
10. ! [X0] ... | 0 |
Everyone who is not tall or humble is either kind or not rich.
Everyone who is either not calm or not patient is generous.
Everyone who is either not strong or old is either not calm or rich.
Everyone who is both not quiet and not patient is either not strong or not patient and vice versa.
If lucy is not wise then alic... | Fred is funny. | neutral | (![X]:((~tall(X)|humble(X))=>(kind(X)<~>~rich(X))))&
(![X]:((~calm(X)<~>~patient(X))=>generous(X)))&
(![X]:((~strong(X)<~>old(X))=>(~calm(X)<~>rich(X))))&
(![X]:((~quiet(X)&~patient(X))<=>(~strong(X)<~>~patient(X))))&
((~wise(lucy))<=>((quiet(alice)&funny(alice))))&
(![X]:((tall(X)&generous(X))=>quiet(X)))&
((strong(ma... | funny(fred) | [] | null | 0 |
If mary is not curious then john is not old and vice versa.
Everyone who is either not strong or funny is not calm and vice versa.
If john is humble then john is not quiet.
Everyone who is either old or not generous is strong and vice versa.
If lucy is either rich or not curious then alice is either not rich or not cre... | Paul is not old. | entailment | ((~curious(mary))<=>(~old(john)))&
(![X]:((~strong(X)<~>funny(X))<=>~calm(X)))&
((humble(john))=>(~quiet(john)))&
(![X]:((old(X)<~>~generous(X))<=>strong(X)))&
(((rich(lucy)<~>~curious(lucy)))=>((~rich(alice)<~>~creative(alice))))&
((?[X]:((~happy(X)<~>~humble(X))))=>(patient(paul)))&
(![X]:((strong(X)&happy(X))=>~happ... | ~old(paul) | [
"p1",
"p5",
"p6",
"p8",
"p10",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4307614300867557450118861
% SZS output start Proof for 4307614300867557450118861
2. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> ~calm(X0)) [input p1]
6. ? [X0] : (~happy(X0) <~> ~humble(X0)) => patient(paul) [input p5]
7. ! [X0] : ((happy(X0) & strong(X0)) => ~happy(X0)) [input p6]
9. ! [X0... | 0 |
If john is either humble or rich then someone is either not rich or wise.
Everyone who is either calm or not quiet is not rich.
Everyone who is both not curious and not calm is both funny and not patient.
If mary is either creative or not wise then lucy is both wise and not wise and vice versa.
If someone is either ric... | Alice is brave. | contradiction | (((humble(john)<~>rich(john)))=>(?[X]:((~rich(X)<~>wise(X)))))&
(![X]:((calm(X)<~>~quiet(X))=>~rich(X)))&
(![X]:((~curious(X)&~calm(X))=>(funny(X)&~patient(X))))&
(((creative(mary)<~>~wise(mary)))<=>((wise(lucy)&~wise(lucy))))&
((?[X]:((rich(X)<~>quiet(X))))=>(?[X]:((old(X)<~>~funny(X)))))&
((?[X]:((~kind(X)|brave(X)))... | brave(alice) | [
"p6",
"p7",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4605654019768823037774136
% SZS output start Proof for 4605654019768823037774136
7. ! [X0] : ((brave(X0) & ~happy(X0)) <=> (~rich(X0) & funny(X0))) [input p6]
8. ! [X0] : ((creative(X0) | ~humble(X0)) => ~happy(X0)) [input p7]
21. rich(alice) [input p20]
22. creative(alice) & patient(alic... | 0 |
Everyone who is generous is both not calm and kind.
Everyone who is not curious is both not brave and not wise and vice versa.
If someone is both not rich and not strong then lucy is both not generous and quiet and vice versa.
Everyone who is either curious or generous is wise or tall and vice versa.
If someone is both... | Alice is happy. | contradiction | (![X]:(generous(X)=>(~calm(X)&kind(X))))&
(![X]:(~curious(X)<=>(~brave(X)&~wise(X))))&
((?[X]:((~rich(X)&~strong(X))))<=>((~generous(lucy)&quiet(lucy))))&
(![X]:((curious(X)<~>generous(X))<=>(wise(X)|tall(X))))&
((?[X]:((old(X)&~happy(X))))<=>((~curious(alice)|curious(alice))))&
(((patient(lucy)&kind(lucy)))<=>(?[X]:(w... | happy(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6079981281448792497313540
% SZS output start Proof for 6079981281448792497313540
11. ! [X0] : ((creative(X0) | happy(X0)) => ~happy(X0)) [input p10]
23. happy(alice) [input hypothesis]
33. ! [X0] : (~happy(X0) | (~creative(X0) & ~happy(X0))) [ennf transformation 11]
117. ~happy(X0) | ~hap... | 0 |
Everyone who is either brave or happy is not rich and vice versa.
If someone is either not curious or curious then lucy is not humble and vice versa.
Everyone who is not patient or not strong is either happy or not kind and vice versa.
If fred is not funny or not wise then fred is not creative.
If someone is both tall ... | John is creative. | entailment | (![X]:((brave(X)<~>happy(X))<=>~rich(X)))&
((?[X]:((~curious(X)<~>curious(X))))<=>(~humble(lucy)))&
(![X]:((~patient(X)|~strong(X))<=>(happy(X)<~>~kind(X))))&
(((~funny(fred)|~wise(fred)))=>(~creative(fred)))&
((?[X]:((tall(X)&strong(X))))=>((happy(susan)&patient(susan))))&
((?[X]:((~wise(X)|~curious(X))))<=>(?[X]:((~h... | creative(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 135130704635917563799167
% SZS output start Proof for 135130704635917563799167
14. ! [X0] : ((~kind(X0) & kind(X0)) <=> (~rich(X0) | ~creative(X0))) [input p13]
24. ~creative(john) [input hypothesis]
61. ! [X0] : (((~kind(X0) & kind(X0)) | (rich(X0) & creative(X0))) & ((~rich(X0) | ~creat... | 0 |
If lucy is not calm then john is both humble and tall.
If someone is both not brave and happy then alice is both not strong and quiet.
If alice is humble then someone is patient or rich and vice versa.
Everyone who is either not kind or calm is both not tall and not rich and vice versa.
If someone is not tall then some... | John is strong. | contradiction | ((~calm(lucy))=>((humble(john)&tall(john))))&
((?[X]:((~brave(X)&happy(X))))=>((~strong(alice)&quiet(alice))))&
((humble(alice))<=>(?[X]:((patient(X)|rich(X)))))&
(![X]:((~kind(X)<~>calm(X))<=>(~tall(X)&~rich(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~rich(X)<~>~brave(X)))))&
((?[X]:(~generous(X)))=>(?[X]:(~old(X))))&
(![X]:(... | strong(john) | [
"p3",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2385401541023671740579706
% SZS output start Proof for 2385401541023671740579706
4. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (~rich(X0) & ~tall(X0))) [input p3]
7. ! [X0] : ((~tall(X0) & quiet(X0)) <=> ~quiet(X0)) [input p6]
12. ! [X0] : ((~generous(X0) <~> kind(X0)) => ~strong(X0)) [input ... | 0 |
If someone is both wise and not quiet then paul is not kind or creative and vice versa. Everyone who is either not old or patient is either tall or calm and vice versa. Everyone who is not happy or not rich is either not rich or not creative. If someone is funny then susan is either rich or not funny. Everyone who is n... | Alice is creative. | contradiction | ((?[X]:((wise(X)&~quiet(X))))<=>((~kind(paul)|creative(paul))))&
(![X]:((~old(X)<~>patient(X))<=>(tall(X)<~>calm(X))))&
(![X]:((~happy(X)|~rich(X))=>(~rich(X)<~>~creative(X))))&
((?[X]:(funny(X)))=>((rich(susan)<~>~funny(susan))))&
(![X]:(~brave(X)=>(quiet(X)&~tall(X))))&
(![X]:((~rich(X)|tall(X))=>(~calm(X)&~creative(... | creative(alice) | [
"p2",
"p5",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2608615287191823460242851
% SZS output start Proof for 2608615287191823460242851
3. ! [X0] : ((~rich(X0) | ~happy(X0)) => (~rich(X0) <~> ~creative(X0))) [input p2]
6. ! [X0] : ((tall(X0) | ~rich(X0)) => (~creative(X0) & ~calm(X0))) [input p5]
9. ! [X0] : (happy(X0) <=> strong(X0)) [input ... | 0 |
Everyone who is either calm or not calm is not generous and vice versa.
If someone is not funny or not curious then susan is either humble or strong.
Everyone who is either not patient or not calm is rich and vice versa.
Everyone who is both generous and funny is not quiet or not patient and vice versa.
Everyone who is... | Paul is not old. | entailment | (![X]:((calm(X)<~>~calm(X))<=>~generous(X)))&
((?[X]:((~funny(X)|~curious(X))))=>((humble(susan)<~>strong(susan))))&
(![X]:((~patient(X)<~>~calm(X))<=>rich(X)))&
(![X]:((generous(X)&funny(X))<=>(~quiet(X)|~patient(X))))&
(![X]:(~wise(X)<=>(old(X)|tall(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(calm(X))))&
(((~patient(susan... | ~old(paul) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5859780421855052446901066
% SZS output start Proof for 5859780421855052446901066
1. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((~patient(X0) <~> ~calm(X0)) <=> rich(X0)) [input p2]
4. ! [X0] : ((funny(X0) & generous(X0)) <=> (~patient(X0) | ~quiet(X0))) ... | 0 |
If alice is both strong and creative then someone is not quiet or not humble and vice versa.
If someone is either funny or calm then susan is either not humble or quiet and vice versa.
Everyone who is both wise and not patient is happy.
Everyone who is both brave and wise is either not generous or not wise and vice ver... | Alice is curious. | contradiction | (((strong(alice)&creative(alice)))<=>(?[X]:((~quiet(X)|~humble(X)))))&
((?[X]:((funny(X)<~>calm(X))))<=>((~humble(susan)<~>quiet(susan))))&
(![X]:((wise(X)&~patient(X))=>happy(X)))&
(![X]:((brave(X)&wise(X))<=>(~generous(X)<~>~wise(X))))&
(((humble(alice)&~curious(alice)))<=>((~brave(paul)|~kind(paul))))&
((?[X]:((~bra... | curious(alice) | [
"p3",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5474036736049572527814098
% SZS output start Proof for 5474036736049572527814098
4. ! [X0] : ((wise(X0) & brave(X0)) <=> (~generous(X0) <~> ~wise(X0))) [input p3]
5. (~curious(alice) & humble(alice)) <=> (~kind(paul) | ~brave(paul)) [input p4]
8. ! [X0] : ((~rich(X0) & generous(X0)) <=> (... | 0 |
If someone is not humble or creative then paul is both rich and kind and vice versa.
Everyone who is either not curious or calm is not humble and vice versa.
If someone is funny or wise then someone is humble or tall.
Everyone who is brave is either quiet or not tall and vice versa.
If fred is either not patient or not... | Mary is humble. | contradiction | ((?[X]:((~humble(X)|creative(X))))<=>((rich(paul)&kind(paul))))&
(![X]:((~curious(X)<~>calm(X))<=>~humble(X)))&
((?[X]:((funny(X)|wise(X))))=>(?[X]:((humble(X)|tall(X)))))&
(![X]:(brave(X)<=>(quiet(X)<~>~tall(X))))&
(((~patient(fred)<~>~tall(fred)))=>(?[X]:((~creative(X)<~>old(X)))))&
(![X]:((~tall(X)<~>humble(X))=>~hu... | humble(mary) | [
"p5",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 320485871562345613176413
% SZS output start Proof for 320485871562345613176413
6. ! [X0] : ((~tall(X0) <~> humble(X0)) => ~humble(X0)) [input p5]
11. ? [X0] : (wise(X0) & quiet(X0)) <=> (~tall(mary) | quiet(mary)) [input p10]
16. ! [X0] : ((quiet(X0) | old(X0)) <=> ~wise(X0)) [input p15]
... | 0 |
Everyone who is both strong and calm is not generous or not strong and vice versa.
Everyone who is happy is both not tall and old and vice versa.
If someone is both not humble and tall then alice is either tall or not happy.
Everyone who is both not wise and not rich is not calm.
If fred is either not kind or old then ... | Alice is not calm. | contradiction | (![X]:((strong(X)&calm(X))<=>(~generous(X)|~strong(X))))&
(![X]:(happy(X)<=>(~tall(X)&old(X))))&
((?[X]:((~humble(X)&tall(X))))=>((tall(alice)<~>~happy(alice))))&
(![X]:((~wise(X)&~rich(X))=>~calm(X)))&
(((~kind(fred)<~>old(fred)))<=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:((tall(X)|old(X))=>(~patient(X)|brave(X))))&
... | ~calm(alice) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 880882969989489369261461
% SZS output start Proof for 880882969989489369261461
1. ! [X0] : ((calm(X0) & strong(X0)) <=> (~strong(X0) | ~generous(X0))) [input p0]
14. ! [X0] : ((strong(X0) & ~generous(X0)) <=> (~calm(X0) | ~humble(X0))) [input p13]
21. ~calm(alice) [input hypothesis]
32. !... | 0 |
Everyone who is either not tall or strong is both strong and not kind and vice versa.
If mary is creative then mary is both brave and strong.
Everyone who is not old or humble is quiet and vice versa.
Everyone who is funny or tall is both not tall and kind.
If someone is both not rich and not wise then alice is curious... | Alice is not patient. | neutral | (![X]:((~tall(X)<~>strong(X))<=>(strong(X)&~kind(X))))&
((creative(mary))=>((brave(mary)&strong(mary))))&
(![X]:((~old(X)|humble(X))<=>quiet(X)))&
(![X]:((funny(X)|tall(X))=>(~tall(X)&kind(X))))&
((?[X]:((~rich(X)&~wise(X))))<=>((curious(alice)|~generous(alice))))&
(![X]:((creative(X)&patient(X))=>(patient(X)&~curious(... | ~patient(alice) | [] | null | 0 |
Everyone who is both not quiet and not humble is funny or humble and vice versa. If someone is not quiet or generous then fred is both not strong and quiet and vice versa. If fred is both kind and not rich then alice is either humble or strong and vice versa. If alice is both strong and tall then someone is not calm or... | Alice is strong. | contradiction | (![X]:((~quiet(X)&~humble(X))<=>(funny(X)|humble(X))))&
((?[X]:((~quiet(X)|generous(X))))<=>((~strong(fred)&quiet(fred))))&
(((kind(fred)&~rich(fred)))<=>((humble(alice)<~>strong(alice))))&
(((strong(alice)&tall(alice)))=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((funny(X)<~>~humble(X))<=>(quiet(X)|~curious(X))))&
(![X]:((... | strong(alice) | [
"p0",
"p1",
"p2",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7417076372349330988540758
% SZS output start Proof for 7417076372349330988540758
1. ! [X0] : ((~humble(X0) & ~quiet(X0)) <=> (humble(X0) | funny(X0))) [input p0]
2. ? [X0] : (generous(X0) | ~quiet(X0)) <=> (quiet(fred) & ~strong(fred)) [input p1]
3. (~rich(fred) & kind(fred)) <=> (humble(... | 0 |
Everyone who is not creative is humble.
If paul is funny or generous then paul is not wise or not patient.
Everyone who is both not wise and creative is not wise and vice versa.
Everyone who is quiet is humble and vice versa.
Everyone who is not tall or curious is both not old and not kind and vice versa.
If paul is no... | Mary is funny. | entailment | (![X]:(~creative(X)=>humble(X)))&
(((funny(paul)|generous(paul)))=>((~wise(paul)|~patient(paul))))&
(![X]:((~wise(X)&creative(X))<=>~wise(X)))&
(![X]:(quiet(X)<=>humble(X)))&
(![X]:((~tall(X)|curious(X))<=>(~old(X)&~kind(X))))&
((~strong(paul))<=>(?[X]:(creative(X))))&
(![X]:((humble(X)|~quiet(X))<=>(~old(X)&tall(X))))... | funny(mary) | [
"p2",
"p4",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3853081659266664673725275
% SZS output start Proof for 3853081659266664673725275
3. ! [X0] : ((creative(X0) & ~wise(X0)) <=> ~wise(X0)) [input p2]
5. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~kind(X0) & ~old(X0))) [input p4]
8. (curious(mary) | ~creative(mary)) <=> (wise(paul) | tall(paul... | 0 |
If fred is not strong or not rich then alice is both generous and happy and vice versa. Everyone who is not brave or funny is both not patient and wise and vice versa. Everyone who is either quiet or not creative is quiet and vice versa. If someone is curious then mary is old. If someone is either quiet or rich then fr... | Alice is not funny. | neutral | (((~strong(fred)|~rich(fred)))<=>((generous(alice)&happy(alice))))&
(![X]:((~brave(X)|funny(X))<=>(~patient(X)&wise(X))))&
(![X]:((quiet(X)<~>~creative(X))<=>quiet(X)))&
((?[X]:(curious(X)))=>(old(mary)))&
((?[X]:((quiet(X)<~>rich(X))))=>((~quiet(fred)|~rich(fred))))&
(((~strong(susan)&~humble(susan)))<=>((~humble(mary... | ~funny(alice) | [] | null | 0 |
Everyone who is either happy or not curious is both patient and funny.
Everyone who is either not creative or quiet is either wise or not humble.
If mary is both not curious and humble then fred is strong and vice versa.
Everyone who is both not funny and wise is wise or tall and vice versa.
Everyone who is either rich... | Mary is strong. | neutral | (![X]:((happy(X)<~>~curious(X))=>(patient(X)&funny(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(wise(X)<~>~humble(X))))&
(((~curious(mary)&humble(mary)))<=>(strong(fred)))&
(![X]:((~funny(X)&wise(X))<=>(wise(X)|tall(X))))&
(![X]:((rich(X)<~>funny(X))<=>~creative(X)))&
((?[X]:(generous(X)))<=>((old(paul)<~>~patient(paul)))... | strong(mary) | [] | null | 0 |
If someone is not humble or humble then someone is both not quiet and not kind. Everyone who is generous or not old is funny or rich. Everyone who is wise or happy is not rich or wise and vice versa. If someone is rich then lucy is calm and vice versa. If mary is not humble or not kind then lucy is both generous and no... | Mary is not kind. | neutral | ((?[X]:((~humble(X)|humble(X))))=>(?[X]:((~quiet(X)&~kind(X)))))&
(![X]:((generous(X)|~old(X))=>(funny(X)|rich(X))))&
(![X]:((wise(X)|happy(X))<=>(~rich(X)|wise(X))))&
((?[X]:(rich(X)))<=>(calm(lucy)))&
(((~humble(mary)|~kind(mary)))=>((generous(lucy)&~brave(lucy))))&
(![X]:((tall(X)|kind(X))=>tall(X)))&
((~quiet(lucy)... | ~kind(mary) | [] | null | 0 |
Everyone who is either wise or happy is either quiet or creative and vice versa.
If susan is not creative then someone is tall.
Everyone who is not kind is wise or not kind.
Everyone who is either humble or not creative is not brave or not rich.
If paul is either not creative or brave then susan is not curious.
Everyon... | Susan is not tall. | neutral | (![X]:((wise(X)<~>happy(X))<=>(quiet(X)<~>creative(X))))&
((~creative(susan))=>(?[X]:(tall(X))))&
(![X]:(~kind(X)=>(wise(X)|~kind(X))))&
(![X]:((humble(X)<~>~creative(X))=>(~brave(X)|~rich(X))))&
(((~creative(paul)<~>brave(paul)))=>(~curious(susan)))&
(![X]:((~generous(X)<~>calm(X))=>(~kind(X)&calm(X))))&
(![X]:((quiet... | ~tall(susan) | [] | null | 0 |
If paul is both creative and wise then someone is either wise or not humble and vice versa.
Everyone who is both patient and not old is rich or not patient.
Everyone who is quiet or not generous is either not humble or tall.
If someone is either curious or funny then fred is quiet.
If lucy is both not tall and not humb... | Mary is not funny. | neutral | (((creative(paul)&wise(paul)))<=>(?[X]:((wise(X)<~>~humble(X)))))&
(![X]:((patient(X)&~old(X))=>(rich(X)|~patient(X))))&
(![X]:((quiet(X)|~generous(X))=>(~humble(X)<~>tall(X))))&
((?[X]:((curious(X)<~>funny(X))))=>(quiet(fred)))&
(((~tall(lucy)&~humble(lucy)))<=>(?[X]:((calm(X)|~curious(X)))))&
((?[X]:((funny(X)&kind(X... | ~funny(mary) | [] | null | 0 |
Everyone who is both generous and not happy is not patient and vice versa.
If someone is either old or kind then fred is both not humble and not old.
Everyone who is old or kind is both not wise and tall.
Everyone who is either brave or strong is both rich and funny and vice versa.
Everyone who is not generous or brave... | Paul is curious. | neutral | (![X]:((generous(X)&~happy(X))<=>~patient(X)))&
((?[X]:((old(X)<~>kind(X))))=>((~humble(fred)&~old(fred))))&
(![X]:((old(X)|kind(X))=>(~wise(X)&tall(X))))&
(![X]:((brave(X)<~>strong(X))<=>(rich(X)&funny(X))))&
(![X]:((~generous(X)|brave(X))<=>(~strong(X)&~funny(X))))&
(((~generous(fred)|~old(fred)))<=>((brave(paul)&str... | curious(paul) | [] | null | 0 |
If someone is either happy or not creative then someone is either not humble or not strong.
If someone is calm or old then someone is not wise or wise and vice versa.
Everyone who is not funny or rich is both not calm and tall.
Everyone who is not old is kind and vice versa.
If john is not strong then someone is creati... | Mary is funny. | entailment | ((?[X]:((happy(X)<~>~creative(X))))=>(?[X]:((~humble(X)<~>~strong(X)))))&
((?[X]:((calm(X)|old(X))))<=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:((~funny(X)|rich(X))=>(~calm(X)&tall(X))))&
(![X]:(~old(X)<=>kind(X)))&
((~strong(john))<=>(?[X]:((creative(X)|~patient(X)))))&
(((~curious(paul)<~>~rich(paul)))<=>((~kind(lucy)&hum... | funny(mary) | [
"p2",
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6940740985265638747729845
% SZS output start Proof for 6940740985265638747729845
3. ! [X0] : ((rich(X0) | ~funny(X0)) => (tall(X0) & ~calm(X0))) [input p2]
5. ~strong(john) <=> ? [X0] : (~patient(X0) | creative(X0)) [input p4]
8. ! [X0] : (~humble(X0) <=> (~strong(X0) <~> ~humble(X0))) [i... | 0 |
If someone is both not tall and tall then alice is happy or generous and vice versa. If someone is both not curious and patient then someone is both old and not generous and vice versa. If john is both creative and kind then someone is not wise. If someone is strong or wise then john is either not humble or funny. Ever... | Alice is old. | contradiction | ((?[X]:((~tall(X)&tall(X))))<=>((happy(alice)|generous(alice))))&
((?[X]:((~curious(X)&patient(X))))<=>(?[X]:((old(X)&~generous(X)))))&
(((creative(john)&kind(john)))=>(?[X]:(~wise(X))))&
((?[X]:((strong(X)|wise(X))))=>((~humble(john)<~>funny(john))))&
(![X]:((humble(X)<~>kind(X))<=>(~curious(X)<~>~humble(X))))&
(![X]:... | old(alice) | [
"p0",
"p1",
"p4",
"p5",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 426180066953476364644456
% SZS output start Proof for 426180066953476364644456
1. ? [X0] : (tall(X0) & ~tall(X0)) <=> (generous(alice) | happy(alice)) [input p0]
2. ? [X0] : (patient(X0) & ~curious(X0)) <=> ? [X0] : (~generous(X0) & old(X0)) [input p1]
5. ! [X0] : ((humble(X0) <~> kind(X0... | 0 |
Everyone who is either wise or not happy is happy or not kind.
If someone is both not patient and generous then someone is either generous or not kind.
Everyone who is not creative is wise or not kind.
Everyone who is both patient and funny is not kind or brave and vice versa.
Everyone who is not quiet is either not wi... | Fred is tall. | contradiction | (![X]:((wise(X)<~>~happy(X))=>(happy(X)|~kind(X))))&
((?[X]:((~patient(X)&generous(X))))=>(?[X]:((generous(X)<~>~kind(X)))))&
(![X]:(~creative(X)=>(wise(X)|~kind(X))))&
(![X]:((patient(X)&funny(X))<=>(~kind(X)|brave(X))))&
(![X]:(~quiet(X)<=>(~wise(X)<~>brave(X))))&
(![X]:((quiet(X)<~>~old(X))=>(curious(X)<~>~kind(X)))... | tall(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2195558895901844084627160
% SZS output start Proof for 2195558895901844084627160
19. ~curious(fred) & ~tall(fred) [input p18]
25. tall(fred) [input hypothesis]
140. ~tall(fred) [cnf transformation 19]
151. tall(fred) [cnf transformation 25]
301. $false [subsumption resolution 151,140]
% S... | 0 |
Everyone who is both not happy and not strong is not quiet or tall.
Everyone who is not generous or not quiet is both humble and curious and vice versa.
If mary is both rich and kind then someone is either not quiet or not generous and vice versa.
Everyone who is curious is not happy.
Everyone who is both not curious a... | John is rich. | neutral | (![X]:((~happy(X)&~strong(X))=>(~quiet(X)|tall(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(humble(X)&curious(X))))&
(((rich(mary)&kind(mary)))<=>(?[X]:((~quiet(X)<~>~generous(X)))))&
(![X]:(curious(X)=>~happy(X)))&
(![X]:((~curious(X)&wise(X))=>(~kind(X)&happy(X))))&
(((~old(john)&~calm(john)))<=>((~tall(john)|~generous(... | rich(john) | [] | null | 0 |
If paul is both quiet and rich then john is both not humble and not wise.
Everyone who is not patient is kind or not humble.
Everyone who is curious is either not old or old and vice versa.
If alice is either not happy or generous then someone is humble or not brave and vice versa.
If fred is not patient then someone i... | John is patient. | contradiction | (((quiet(paul)&rich(paul)))=>((~humble(john)&~wise(john))))&
(![X]:(~patient(X)=>(kind(X)|~humble(X))))&
(![X]:(curious(X)<=>(~old(X)<~>old(X))))&
(((~happy(alice)<~>generous(alice)))<=>(?[X]:((humble(X)|~brave(X)))))&
((~patient(fred))<=>(?[X]:((strong(X)<~>~strong(X)))))&
(![X]:((~curious(X)&quiet(X))<=>(happy(X)<~>~... | patient(john) | [
"p2",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8943045748690186657420470
% SZS output start Proof for 8943045748690186657420470
3. ! [X0] : (curious(X0) <=> (~old(X0) <~> old(X0))) [input p2]
6. ! [X0] : ((quiet(X0) & ~curious(X0)) <=> (happy(X0) <~> ~tall(X0))) [input p5]
14. ? [X0] : (~happy(X0) & ~tall(X0)) <=> patient(john) [input... | 0 |
If someone is not generous then someone is not rich.
Everyone who is not strong or not funny is both old and not rich and vice versa.
Everyone who is both not wise and not creative is either not creative or calm.
Everyone who is either not old or not funny is both brave and creative and vice versa.
Everyone who is both... | Alice is calm. | entailment | ((?[X]:(~generous(X)))=>(?[X]:(~rich(X))))&
(![X]:((~strong(X)|~funny(X))<=>(old(X)&~rich(X))))&
(![X]:((~wise(X)&~creative(X))=>(~creative(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(brave(X)&creative(X))))&
(![X]:((~calm(X)&~creative(X))=>(funny(X)<~>~creative(X))))&
(![X]:((~rich(X)<~>~brave(X))=>(~tall(X)<~>br... | calm(alice) | [
"p1",
"p3",
"p4",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6674854164577528543854224
% SZS output start Proof for 6674854164577528543854224
2. ! [X0] : ((~funny(X0) | ~strong(X0)) <=> (~rich(X0) & old(X0))) [input p1]
4. ! [X0] : ((~old(X0) <~> ~funny(X0)) <=> (creative(X0) & brave(X0))) [input p3]
5. ! [X0] : ((~creative(X0) & ~calm(X0)) => (fun... | 0 |
If someone is wise then fred is both patient and not creative and vice versa.
Everyone who is humble or not wise is either kind or not curious and vice versa.
Everyone who is not funny or not calm is funny.
If lucy is both not creative and not kind then someone is either old or humble and vice versa.
If john is both ri... | Fred is not humble. | entailment | ((?[X]:(wise(X)))<=>((patient(fred)&~creative(fred))))&
(![X]:((humble(X)|~wise(X))<=>(kind(X)<~>~curious(X))))&
(![X]:((~funny(X)|~calm(X))=>funny(X)))&
(((~creative(lucy)&~kind(lucy)))<=>(?[X]:((old(X)<~>humble(X)))))&
(((rich(john)&~funny(john)))<=>((humble(fred)|~tall(fred))))&
((?[X]:((~strong(X)&humble(X))))<=>((... | ~humble(fred) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7710049986723612820435909
% SZS output start Proof for 7710049986723612820435909
3. ! [X0] : ((~calm(X0) | ~funny(X0)) => funny(X0)) [input p2]
5. (~funny(john) & rich(john)) <=> (~tall(fred) | humble(fred)) [input p4]
22. humble(fred) [input hypothesis]
24. ! [X0] : (funny(X0) | (calm(X0... | 0 |
If someone is either not generous or humble then alice is not rich. Everyone who is both not rich and not strong is either kind or not tall. Everyone who is both not old and not generous is both strong and tall. Everyone who is not strong is not rich. Everyone who is old is both brave and creative and vice versa. Every... | Mary is tall. | entailment | ((?[X]:((~generous(X)<~>humble(X))))=>(~rich(alice)))&
(![X]:((~rich(X)&~strong(X))=>(kind(X)<~>~tall(X))))&
(![X]:((~old(X)&~generous(X))=>(strong(X)&tall(X))))&
(![X]:(~strong(X)=>~rich(X)))&
(![X]:(old(X)<=>(brave(X)&creative(X))))&
(![X]:((strong(X)|creative(X))=>(~wise(X)&old(X))))&
(![X]:((curious(X)<~>~curious(X... | tall(mary) | [
"p1",
"p3",
"p4",
"p5",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 521804549126080536607268
% SZS output start Proof for 521804549126080536607268
2. ! [X0] : ((~strong(X0) & ~rich(X0)) => (kind(X0) <~> ~tall(X0))) [input p1]
4. ! [X0] : (~strong(X0) => ~rich(X0)) [input p3]
5. ! [X0] : (old(X0) <=> (creative(X0) & brave(X0))) [input p4]
6. ! [X0] : ((cre... | 0 |
If someone is either not funny or patient then someone is not rich or not happy.
If someone is patient then fred is both not humble and brave.
Everyone who is tall or wise is not generous.
If fred is both brave and creative then alice is either strong or not kind and vice versa.
Everyone who is either not quiet or not ... | Mary is quiet. | entailment | ((?[X]:((~funny(X)<~>patient(X))))=>(?[X]:((~rich(X)|~happy(X)))))&
((?[X]:(patient(X)))=>((~humble(fred)&brave(fred))))&
(![X]:((tall(X)|wise(X))=>~generous(X)))&
(((brave(fred)&creative(fred)))<=>((strong(alice)<~>~kind(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(generous(X)&~strong(X))))&
(![X]:(generous(X)<=>(kind(... | quiet(mary) | [
"p4",
"p5",
"p8",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1110375853900230800518917
% SZS output start Proof for 1110375853900230800518917
5. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~strong(X0) & generous(X0))) [input p4]
6. ! [X0] : (generous(X0) <=> (~kind(X0) & kind(X0))) [input p5]
9. ! [X0] : ((~old(X0) & kind(X0)) <=> (~calm(X0) | ~tall(... | 0 |
Everyone who is either tall or not curious is both not kind and curious and vice versa.
Everyone who is both tall and not rich is both creative and curious.
Everyone who is kind is brave and vice versa.
If someone is funny or generous then mary is tall or not patient.
If someone is either humble or tall then alice is q... | Mary is not creative. | neutral | (![X]:((tall(X)<~>~curious(X))<=>(~kind(X)&curious(X))))&
(![X]:((tall(X)&~rich(X))=>(creative(X)&curious(X))))&
(![X]:(kind(X)<=>brave(X)))&
((?[X]:((funny(X)|generous(X))))=>((tall(mary)|~patient(mary))))&
((?[X]:((humble(X)<~>tall(X))))<=>(quiet(alice)))&
(((~old(alice)&rich(alice)))=>(?[X]:((patient(X)&~quiet(X))))... | ~creative(mary) | [] | null | 0 |
If someone is both happy and funny then susan is kind and vice versa. If susan is not tall then john is both curious and calm and vice versa. Everyone who is both kind and not creative is either generous or humble and vice versa. Everyone who is not creative is both not curious and wise and vice versa. Everyone who is ... | Lucy is strong. | neutral | ((?[X]:((happy(X)&funny(X))))<=>(kind(susan)))&
((~tall(susan))<=>((curious(john)&calm(john))))&
(![X]:((kind(X)&~creative(X))<=>(generous(X)<~>humble(X))))&
(![X]:(~creative(X)<=>(~curious(X)&wise(X))))&
(![X]:((~rich(X)|~generous(X))<=>(happy(X)|~happy(X))))&
(![X]:((wise(X)<~>old(X))=>(~old(X)<~>generous(X))))&
((cu... | strong(lucy) | [] | null | 0 |
If paul is not wise or tall then susan is either not patient or kind.
Everyone who is not tall is rich or tall and vice versa.
If someone is rich then someone is not calm or rich and vice versa.
Everyone who is creative or not curious is either not kind or wise and vice versa.
If someone is not brave or not quiet then ... | Susan is not strong. | neutral | (((~wise(paul)|tall(paul)))=>((~patient(susan)<~>kind(susan))))&
(![X]:(~tall(X)<=>(rich(X)|tall(X))))&
((?[X]:(rich(X)))<=>(?[X]:((~calm(X)|rich(X)))))&
(![X]:((creative(X)|~curious(X))<=>(~kind(X)<~>wise(X))))&
((?[X]:((~brave(X)|~quiet(X))))=>(?[X]:((~humble(X)|~strong(X)))))&
(((kind(alice)<~>~creative(alice)))=>(?... | ~strong(susan) | [] | null | 0 |
Everyone who is either not old or old is not brave or not rich. If john is not humble then mary is either not humble or humble. If someone is both rich and quiet then someone is either wise or not happy and vice versa. Everyone who is not creative or not patient is both humble and not brave and vice versa. If mary is n... | John is not patient. | contradiction | (![X]:((~old(X)<~>old(X))=>(~brave(X)|~rich(X))))&
((~humble(john))=>((~humble(mary)<~>humble(mary))))&
((?[X]:((rich(X)&quiet(X))))<=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:((~creative(X)|~patient(X))<=>(humble(X)&~brave(X))))&
((~kind(mary))<=>((~wise(mary)<~>~generous(mary))))&
(![X]:((~creative(X)<~>strong(X))<=>(~... | ~patient(john) | [
"p3",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3910050573092107321534356
% SZS output start Proof for 3910050573092107321534356
4. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (~brave(X0) & humble(X0))) [input p3]
6. ! [X0] : ((~creative(X0) <~> strong(X0)) <=> (~creative(X0) <~> ~brave(X0))) [input p5]
13. (~strong(paul) <~> brave(pa... | 0 |
If someone is either not generous or not kind then alice is both generous and brave. If john is patient then someone is quiet or curious. Everyone who is both not rich and brave is both not funny and happy and vice versa. Everyone who is not tall or not curious is both strong and not patient. Everyone who is brave or n... | Mary is calm. | contradiction | ((?[X]:((~generous(X)<~>~kind(X))))=>((generous(alice)&brave(alice))))&
((patient(john))=>(?[X]:((quiet(X)|curious(X)))))&
(![X]:((~rich(X)&brave(X))<=>(~funny(X)&happy(X))))&
(![X]:((~tall(X)|~curious(X))=>(strong(X)&~patient(X))))&
(![X]:((brave(X)|~wise(X))=>(rich(X)&~patient(X))))&
(((~old(lucy)<~>~happy(lucy)))<=>... | calm(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2453554831250626029173879
% SZS output start Proof for 2453554831250626029173879
20. ~calm(mary) [input p19]
25. calm(mary) [input hypothesis]
147. ~calm(mary) [cnf transformation 20]
154. calm(mary) [cnf transformation 25]
368. $false [subsumption resolution 154,147]
% SZS output end Pro... | 0 |
Everyone who is not old or generous is patient.
If someone is not patient then fred is both not old and not tall and vice versa.
Everyone who is either old or generous is both creative and brave.
Everyone who is both quiet and curious is not patient or not brave.
Everyone who is not quiet or not creative is either curi... | Mary is tall. | contradiction | (![X]:((~old(X)|generous(X))=>patient(X)))&
((?[X]:(~patient(X)))<=>((~old(fred)&~tall(fred))))&
(![X]:((old(X)<~>generous(X))=>(creative(X)&brave(X))))&
(![X]:((quiet(X)&curious(X))=>(~patient(X)|~brave(X))))&
(![X]:((~quiet(X)|~creative(X))=>(curious(X)<~>~rich(X))))&
(((~humble(susan)&~old(susan)))<=>(~happy(mary)))... | tall(mary) | [
"p0",
"p1",
"p2",
"p6",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2670435618077376510894432
% SZS output start Proof for 2670435618077376510894432
1. ! [X0] : ((generous(X0) | ~old(X0)) => patient(X0)) [input p0]
2. ? [X0] : ~patient(X0) <=> (~tall(fred) & ~old(fred)) [input p1]
3. ! [X0] : ((old(X0) <~> generous(X0)) => (brave(X0) & creative(X0))) [inp... | 0 |
If lucy is calm or funny then someone is not patient and vice versa.
If susan is not happy or not funny then susan is calm.
Everyone who is old or not calm is not funny.
Everyone who is both wise and creative is old or not brave.
Everyone who is tall or not strong is either not calm or old.
If alice is brave then someo... | Alice is not brave. | contradiction | (((calm(lucy)|funny(lucy)))<=>(?[X]:(~patient(X))))&
(((~happy(susan)|~funny(susan)))=>(calm(susan)))&
(![X]:((old(X)|~calm(X))=>~funny(X)))&
(![X]:((wise(X)&creative(X))=>(old(X)|~brave(X))))&
(![X]:((tall(X)|~strong(X))=>(~calm(X)<~>old(X))))&
((brave(alice))<=>(?[X]:(~calm(X))))&
(((~strong(fred)|patient(fred)))=>(?... | ~brave(alice) | [
"p2",
"p4",
"p5",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3860491018967215803288770
% SZS output start Proof for 3860491018967215803288770
3. ! [X0] : ((~calm(X0) | old(X0)) => ~funny(X0)) [input p2]
5. ! [X0] : ((~strong(X0) | tall(X0)) => (~calm(X0) <~> old(X0))) [input p4]
6. brave(alice) <=> ? [X0] : ~calm(X0) [input p5]
8. (~strong(john) & ... | 0 |
Everyone who is kind is both not funny and strong. Everyone who is either not curious or not creative is either not curious or wise. Everyone who is not strong is either not tall or not wise and vice versa. If someone is not wise or not old then paul is quiet or brave. If someone is old or curious then mary is either n... | Mary is not generous. | contradiction | (![X]:(kind(X)=>(~funny(X)&strong(X))))&
(![X]:((~curious(X)<~>~creative(X))=>(~curious(X)<~>wise(X))))&
(![X]:(~strong(X)<=>(~tall(X)<~>~wise(X))))&
((?[X]:((~wise(X)|~old(X))))=>((quiet(paul)|brave(paul))))&
((?[X]:((old(X)|curious(X))))<=>((~calm(mary)<~>old(mary))))&
(((~kind(susan)<~>calm(susan)))<=>(?[X]:((tall(X... | ~generous(mary) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5952608163679191903125021
% SZS output start Proof for 5952608163679191903125021
15. ! [X0] : (~strong(X0) => generous(X0)) [input p14]
16. (calm(susan) & ~calm(susan)) <=> ? [X0] : strong(X0) [input p15]
24. ~generous(mary) [input hypothesis]
36. ! [X0] : (generous(X0) | strong(X0)) [enn... | 0 |
Everyone who is both not creative and generous is funny and vice versa.
Everyone who is rich is not funny or humble and vice versa.
If mary is both not generous and not kind then paul is not calm or curious and vice versa.
If john is both not strong and not creative then someone is either creative or not funny and vice... | Mary is not wise. | contradiction | (![X]:((~creative(X)&generous(X))<=>funny(X)))&
(![X]:(rich(X)<=>(~funny(X)|humble(X))))&
(((~generous(mary)&~kind(mary)))<=>((~calm(paul)|curious(paul))))&
(((~strong(john)&~creative(john)))<=>(?[X]:((creative(X)<~>~funny(X)))))&
(![X]:(happy(X)<=>(patient(X)&calm(X))))&
((?[X]:((~curious(X)&~tall(X))))<=>((happy(mary... | ~wise(mary) | [
"p1",
"p7",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1043540289490756926920058
% SZS output start Proof for 1043540289490756926920058
2. ! [X0] : (rich(X0) <=> (humble(X0) | ~funny(X0))) [input p1]
8. ! [X0] : (~humble(X0) <=> ~old(X0)) [input p7]
14. ! [X0] : (rich(X0) <=> wise(X0)) [input p13]
18. old(mary) & tall(mary) [input p17]
25. ~w... | 0 |
If alice is both creative and generous then someone is not strong.
Everyone who is both quiet and old is either creative or not kind and vice versa.
If someone is not old or patient then someone is both not rich and brave and vice versa.
If someone is rich then someone is either generous or humble.
Everyone who is eith... | John is humble. | contradiction | (((creative(alice)&generous(alice)))=>(?[X]:(~strong(X))))&
(![X]:((quiet(X)&old(X))<=>(creative(X)<~>~kind(X))))&
((?[X]:((~old(X)|patient(X))))<=>(?[X]:((~rich(X)&brave(X)))))&
((?[X]:(rich(X)))=>(?[X]:((generous(X)<~>humble(X)))))&
(![X]:((~calm(X)<~>~humble(X))<=>(rich(X)|curious(X))))&
(![X]:((~brave(X)&patient(X)... | humble(john) | [
"p4",
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5229735982764975827280676
% SZS output start Proof for 5229735982764975827280676
5. ! [X0] : ((~calm(X0) <~> ~humble(X0)) <=> (curious(X0) | rich(X0))) [input p4]
7. ! [X0] : ((~calm(X0) | ~rich(X0)) => (creative(X0) & ~rich(X0))) [input p6]
20. ~creative(john) | ~humble(john) [input p19]... | 0 |
Everyone who is happy or not generous is old and vice versa. If someone is both wise and not calm then susan is calm and vice versa. Everyone who is both not generous and humble is either not calm or not rich. If john is both funny and not calm then lucy is not strong. If someone is both brave and not patient then some... | Alice is not rich. | neutral | (![X]:((happy(X)|~generous(X))<=>old(X)))&
((?[X]:((wise(X)&~calm(X))))<=>(calm(susan)))&
(![X]:((~generous(X)&humble(X))=>(~calm(X)<~>~rich(X))))&
(((funny(john)&~calm(john)))=>(~strong(lucy)))&
((?[X]:((brave(X)&~patient(X))))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((~creative(X)&quiet(X))=>(~tall(X)<~>~happy(X))))&... | ~rich(alice) | [] | null | 0 |
Everyone who is both rich and not curious is not calm or not happy and vice versa.
If someone is either not strong or not brave then lucy is either not funny or brave.
Everyone who is both happy and not strong is both not humble and not strong.
Everyone who is either not wise or not generous is not rich.
Everyone who i... | Lucy is not humble. | entailment | (![X]:((rich(X)&~curious(X))<=>(~calm(X)|~happy(X))))&
((?[X]:((~strong(X)<~>~brave(X))))=>((~funny(lucy)<~>brave(lucy))))&
(![X]:((happy(X)&~strong(X))=>(~humble(X)&~strong(X))))&
(![X]:((~wise(X)<~>~generous(X))=>~rich(X)))&
(![X]:(patient(X)=>(~calm(X)|humble(X))))&
(![X]:((~brave(X)&creative(X))=>(funny(X)&humble(X... | ~humble(lucy) | [
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7934344941850427014435912
% SZS output start Proof for 7934344941850427014435912
8. ! [X0] : (calm(X0) => (tall(X0) & happy(X0))) [input p7]
11. ! [X0] : ((calm(X0) <~> happy(X0)) <=> (wise(X0) | humble(X0))) [input p10]
13. ! [X0] : ((~curious(X0) | happy(X0)) <=> ~happy(X0)) [input p12]... | 0 |
Everyone who is not generous is either quiet or not patient and vice versa.
Everyone who is tall is both not tall and generous and vice versa.
If mary is not strong then susan is both creative and not tall and vice versa.
If mary is both not tall and not quiet then susan is either wise or strong and vice versa.
If lucy... | Alice is patient. | entailment | (![X]:(~generous(X)<=>(quiet(X)<~>~patient(X))))&
(![X]:(tall(X)<=>(~tall(X)&generous(X))))&
((~strong(mary))<=>((creative(susan)&~tall(susan))))&
(((~tall(mary)&~quiet(mary)))<=>((wise(susan)<~>strong(susan))))&
(((funny(lucy)<~>calm(lucy)))<=>((curious(lucy)&tall(lucy))))&
(((~calm(mary)<~>kind(mary)))=>(?[X]:((tall(... | patient(alice) | [
"p0",
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3008824246731613096754409
% SZS output start Proof for 3008824246731613096754409
1. ! [X0] : (~generous(X0) <=> (quiet(X0) <~> ~patient(X0))) [input p0]
2. ! [X0] : (tall(X0) <=> (generous(X0) & ~tall(X0))) [input p1]
14. ! [X0] : (~quiet(X0) <=> (rich(X0) & generous(X0))) [input p13]
24.... | 0 |
Everyone who is both happy and not old is either not curious or not rich and vice versa.
If someone is both not calm and not humble then lucy is both not funny and not curious.
Everyone who is either not strong or patient is calm or patient.
Everyone who is either not kind or not quiet is not strong.
If someone is eith... | Lucy is not calm. | neutral | (![X]:((happy(X)&~old(X))<=>(~curious(X)<~>~rich(X))))&
((?[X]:((~calm(X)&~humble(X))))=>((~funny(lucy)&~curious(lucy))))&
(![X]:((~strong(X)<~>patient(X))=>(calm(X)|patient(X))))&
(![X]:((~kind(X)<~>~quiet(X))=>~strong(X)))&
((?[X]:((~quiet(X)<~>old(X))))<=>((~quiet(lucy)|tall(lucy))))&
(![X]:((~tall(X)<~>~calm(X))=>(... | ~calm(lucy) | [] | null | 0 |
Everyone who is both brave and not calm is either happy or not wise and vice versa.
Everyone who is strong is either not generous or not kind.
If someone is not funny then mary is either wise or not creative and vice versa.
Everyone who is funny is curious or not kind.
Everyone who is both not old and kind is quiet and... | Mary is wise. | neutral | (![X]:((brave(X)&~calm(X))<=>(happy(X)<~>~wise(X))))&
(![X]:(strong(X)=>(~generous(X)<~>~kind(X))))&
((?[X]:(~funny(X)))<=>((wise(mary)<~>~creative(mary))))&
(![X]:(funny(X)=>(curious(X)|~kind(X))))&
(![X]:((~old(X)&kind(X))<=>quiet(X)))&
(![X]:((humble(X)|~wise(X))<=>kind(X)))&
(((~calm(lucy)|~tall(lucy)))=>(?[X]:((fu... | wise(mary) | [] | null | 0 |
If paul is kind then someone is calm or funny.
Everyone who is either funny or calm is not old or happy and vice versa.
If someone is both not rich and not patient then someone is both not wise and brave and vice versa.
If someone is not quiet then fred is not wise or tall.
Everyone who is curious or not strong is both... | Susan is curious. | contradiction | ((kind(paul))=>(?[X]:((calm(X)|funny(X)))))&
(![X]:((funny(X)<~>calm(X))<=>(~old(X)|happy(X))))&
((?[X]:((~rich(X)&~patient(X))))<=>(?[X]:((~wise(X)&brave(X)))))&
((?[X]:(~quiet(X)))=>((~wise(fred)|tall(fred))))&
(![X]:((curious(X)|~strong(X))=>(kind(X)&happy(X))))&
(![X]:((~wise(X)&wise(X))<=>curious(X)))&
(![X]:(~old... | curious(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3199485158114532866551879
% SZS output start Proof for 3199485158114532866551879
6. ! [X0] : ((wise(X0) & ~wise(X0)) <=> curious(X0)) [input p5]
24. curious(susan) [input hypothesis]
44. ! [X0] : (((wise(X0) & ~wise(X0)) | ~curious(X0)) & (curious(X0) | (~wise(X0) | wise(X0)))) [nnf trans... | 0 |
Everyone who is both not strong and happy is not brave or not wise.
If susan is both not patient and creative then someone is not curious and vice versa.
If alice is not strong or not old then someone is either not kind or creative.
If alice is either happy or humble then someone is not generous.
If susan is either not... | Alice is calm. | neutral | (![X]:((~strong(X)&happy(X))=>(~brave(X)|~wise(X))))&
(((~patient(susan)&creative(susan)))<=>(?[X]:(~curious(X))))&
(((~strong(alice)|~old(alice)))=>(?[X]:((~kind(X)<~>creative(X)))))&
(((happy(alice)<~>humble(alice)))=>(?[X]:(~generous(X))))&
(((~happy(susan)<~>humble(susan)))=>(?[X]:((humble(X)&~funny(X)))))&
(![X]:(... | calm(alice) | [] | null | 0 |
If someone is humble then someone is either not patient or not rich and vice versa. If alice is brave or funny then someone is either not quiet or not funny and vice versa. Everyone who is both funny and brave is not curious or calm and vice versa. Everyone who is either strong or not happy is both tall and generous. E... | Mary is patient. | neutral | ((?[X]:(humble(X)))<=>(?[X]:((~patient(X)<~>~rich(X)))))&
(((brave(alice)|funny(alice)))<=>(?[X]:((~quiet(X)<~>~funny(X)))))&
(![X]:((funny(X)&brave(X))<=>(~curious(X)|calm(X))))&
(![X]:((strong(X)<~>~happy(X))=>(tall(X)&generous(X))))&
(![X]:((wise(X)<~>tall(X))<=>(~brave(X)|calm(X))))&
((calm(alice))<=>(?[X]:((~curio... | patient(mary) | [] | null | 0 |
Everyone who is both kind and calm is both not tall and calm.
If someone is either funny or happy then paul is either not tall or not humble.
If someone is either not calm or wise then john is calm or wise and vice versa.
If someone is not creative or not quiet then mary is both not generous and patient.
If someone is ... | Mary is happy. | entailment | (![X]:((kind(X)&calm(X))=>(~tall(X)&calm(X))))&
((?[X]:((funny(X)<~>happy(X))))=>((~tall(paul)<~>~humble(paul))))&
((?[X]:((~calm(X)<~>wise(X))))<=>((calm(john)|wise(john))))&
((?[X]:((~creative(X)|~quiet(X))))=>((~generous(mary)&patient(mary))))&
((?[X]:((~patient(X)|~old(X))))<=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:(... | happy(mary) | [
"p1",
"p5",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 422444286307479868815195
% SZS output start Proof for 422444286307479868815195
2. ? [X0] : (funny(X0) <~> happy(X0)) => (~tall(paul) <~> ~humble(paul)) [input p1]
6. ! [X0] : (humble(X0) => (~strong(X0) & humble(X0))) [input p5]
7. ! [X0] : (tall(X0) => ~funny(X0)) [input p6]
9. ! [X0] : ... | 0 |
Everyone who is not brave is either brave or not kind. If someone is humble or wise then someone is either tall or brave and vice versa. If fred is not calm then someone is not humble or not funny and vice versa. Everyone who is both not brave and not rich is not old and vice versa. Everyone who is either quiet or stro... | Lucy is not rich. | neutral | (![X]:(~brave(X)=>(brave(X)<~>~kind(X))))&
((?[X]:((humble(X)|wise(X))))<=>(?[X]:((tall(X)<~>brave(X)))))&
((~calm(fred))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:((~brave(X)&~rich(X))<=>~old(X)))&
(![X]:((quiet(X)<~>strong(X))<=>(~strong(X)|~humble(X))))&
(![X]:(~wise(X)<=>(funny(X)&old(X))))&
(![X]:((tall(X)<~>~tall... | ~rich(lucy) | [] | null | 0 |
If fred is wise or not kind then someone is not kind or not funny and vice versa.
Everyone who is happy is not old or not brave and vice versa.
Everyone who is either not tall or not funny is not tall and vice versa.
If someone is kind then someone is quiet.
If susan is either old or not creative then someone is humble... | Paul is generous. | entailment | (((wise(fred)|~kind(fred)))<=>(?[X]:((~kind(X)|~funny(X)))))&
(![X]:(happy(X)<=>(~old(X)|~brave(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>~tall(X)))&
((?[X]:(kind(X)))=>(?[X]:(quiet(X))))&
(((old(susan)<~>~creative(susan)))=>(?[X]:((humble(X)|~kind(X)))))&
(![X]:((~tall(X)&~quiet(X))<=>(humble(X)<~>~happy(X))))&
(![X]:((g... | generous(paul) | [
"p2",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6448395828851566552746507
% SZS output start Proof for 6448395828851566552746507
3. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> ~tall(X0)) [input p2]
7. ! [X0] : ((~funny(X0) & generous(X0)) <=> old(X0)) [input p6]
10. ! [X0] : (~calm(X0) => (old(X0) & funny(X0))) [input p9]
14. (~curious(pa... | 0 |
Everyone who is not curious is both not tall and quiet and vice versa. Everyone who is not generous is both not wise and not patient. If someone is not creative or not funny then paul is tall and vice versa. If susan is either old or not quiet then someone is old and vice versa. Everyone who is either not kind or curio... | Fred is patient. | contradiction | (![X]:(~curious(X)<=>(~tall(X)&quiet(X))))&
(![X]:(~generous(X)=>(~wise(X)&~patient(X))))&
((?[X]:((~creative(X)|~funny(X))))<=>(tall(paul)))&
(((old(susan)<~>~quiet(susan)))<=>(?[X]:(old(X))))&
(![X]:((~kind(X)<~>curious(X))=>(wise(X)|calm(X))))&
(![X]:((strong(X)|funny(X))=>brave(X)))&
(![X]:(~patient(X)=>(humble(X)<... | patient(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4495183745178537178121571
% SZS output start Proof for 4495183745178537178121571
8. ! [X0] : ((creative(X0) & ~creative(X0)) <=> (~curious(X0) | patient(X0))) [input p7]
24. patient(fred) [input hypothesis]
46. ! [X0] : (((creative(X0) & ~creative(X0)) | (curious(X0) & ~patient(X0))) & ((... | 0 |
If someone is not quiet then alice is either rich or not patient. Everyone who is creative or funny is either not brave or not humble and vice versa. If someone is both creative and happy then someone is either happy or not humble and vice versa. Everyone who is curious or tall is brave. Everyone who is creative or not... | Fred is funny. | contradiction | ((?[X]:(~quiet(X)))=>((rich(alice)<~>~patient(alice))))&
(![X]:((creative(X)|funny(X))<=>(~brave(X)<~>~humble(X))))&
((?[X]:((creative(X)&happy(X))))<=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:((curious(X)|tall(X))=>brave(X)))&
(![X]:((creative(X)|~funny(X))<=>~creative(X)))&
((?[X]:((~funny(X)|~strong(X))))=>(?[X]:((~... | funny(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 768749335508856539296691
% SZS output start Proof for 768749335508856539296691
5. ! [X0] : ((~funny(X0) | creative(X0)) <=> ~creative(X0)) [input p4]
22. funny(fred) [input hypothesis]
41. ! [X0] : (((~funny(X0) | creative(X0)) | creative(X0)) & (~creative(X0) | (funny(X0) & ~creative(X0)... | 0 |
Everyone who is not calm or strong is both kind and old and vice versa.
Everyone who is not old is tall or not generous.
Everyone who is not rich is rich or not creative.
Everyone who is both not wise and funny is not quiet.
If someone is not quiet or brave then someone is not old and vice versa.
If paul is calm or not... | Alice is not calm. | contradiction | (![X]:((~calm(X)|strong(X))<=>(kind(X)&old(X))))&
(![X]:(~old(X)=>(tall(X)|~generous(X))))&
(![X]:(~rich(X)=>(rich(X)|~creative(X))))&
(![X]:((~wise(X)&funny(X))=>~quiet(X)))&
((?[X]:((~quiet(X)|brave(X))))<=>(?[X]:(~old(X))))&
(((calm(paul)|~strong(paul)))=>((~creative(alice)<~>patient(alice))))&
(![X]:((old(X)|~humbl... | ~calm(alice) | [
"p0",
"p2",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 394009080443316431080593
% SZS output start Proof for 394009080443316431080593
1. ! [X0] : ((strong(X0) | ~calm(X0)) <=> (old(X0) & kind(X0))) [input p0]
3. ! [X0] : (~rich(X0) => (~creative(X0) | rich(X0))) [input p2]
7. ! [X0] : ((~humble(X0) | old(X0)) => (~rich(X0) | ~kind(X0))) [inpu... | 0 |
If susan is either tall or not curious then susan is not happy or kind.
Everyone who is generous is tall and vice versa.
If fred is not brave then someone is either creative or not happy and vice versa.
If paul is both not strong and not old then someone is not tall or not brave and vice versa.
Everyone who is not rich... | Paul is kind. | contradiction | (((tall(susan)<~>~curious(susan)))=>((~happy(susan)|kind(susan))))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))))&
... | kind(paul) | [
"p2",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5364558872225159467650622
% SZS output start Proof for 5364558872225159467650622
3. ~brave(fred) <=> ? [X0] : (creative(X0) <~> ~happy(X0)) [input p2]
5. ! [X0] : (~rich(X0) <=> strong(X0)) [input p4]
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> quiet(X0)) [input p7]
11. ? [X0] : ~happy(X0) =... | 0 |
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