premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not creative then someone is either creative or not funny.
Everyone who is humble is both brave and curious and vice versa.
If paul is brave then someone is kind.
Everyone who is both curious and humble is not generous or wise.
Everyone who is not rich is generous or rich.
If john is tall then mary is kin... | Fred is not brave. | neutral | ((?[X]:(~creative(X)))=>(?[X]:((creative(X)<~>~funny(X)))))&
(![X]:(humble(X)<=>(brave(X)&curious(X))))&
((brave(paul))=>(?[X]:(kind(X))))&
(![X]:((curious(X)&humble(X))=>(~generous(X)|wise(X))))&
(![X]:(~rich(X)=>(generous(X)|rich(X))))&
((tall(john))=>(kind(mary)))&
((?[X]:((~kind(X)&patient(X))))=>(funny(mary)))&
((... | ~brave(fred) | [] | null | 0 |
Everyone who is funny or not generous is not happy or curious.
Everyone who is not curious is either not curious or not strong.
If someone is either funny or not brave then someone is not creative or not old and vice versa.
Everyone who is both wise and not creative is strong or creative.
Everyone who is not funny or f... | Susan is not patient. | neutral | (![X]:((funny(X)|~generous(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~curious(X)<~>~strong(X))))&
((?[X]:((funny(X)<~>~brave(X))))<=>(?[X]:((~creative(X)|~old(X)))))&
(![X]:((wise(X)&~creative(X))=>(strong(X)|creative(X))))&
(![X]:((~funny(X)|funny(X))<=>(happy(X)&humble(X))))&
((?[X]:((~calm(X)|quiet(X))))=>... | ~patient(susan) | [] | null | 0 |
Everyone who is both humble and patient is brave and vice versa.
If someone is not creative then lucy is both not generous and generous.
If john is not wise or generous then someone is not creative or not brave.
Everyone who is humble or wise is not wise or brave and vice versa.
If fred is both happy and humble then so... | John is tall. | entailment | (![X]:((humble(X)&patient(X))<=>brave(X)))&
((?[X]:(~creative(X)))=>((~generous(lucy)&generous(lucy))))&
(((~wise(john)|generous(john)))=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:((humble(X)|wise(X))<=>(~wise(X)|brave(X))))&
(((happy(fred)&humble(fred)))<=>(?[X]:((happy(X)&wise(X)))))&
(![X]:((old(X)<~>tall(X))<=>(~ha... | tall(john) | [
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1978199290031421521816276
% SZS output start Proof for 1978199290031421521816276
15. ! [X0] : (~tall(X0) <=> kind(X0)) [input p14]
24. ~kind(john) [input p23]
25. ~tall(john) [input hypothesis]
63. ! [X0] : ((~tall(X0) | ~kind(X0)) & (kind(X0) | tall(X0))) [nnf transformation 15]
128. kin... | 0 |
If someone is not generous then mary is both happy and strong.
If someone is either patient or rich then someone is calm or happy and vice versa.
Everyone who is not happy or calm is either humble or wise and vice versa.
Everyone who is not happy is not old or not quiet and vice versa.
Everyone who is kind or not curio... | Alice is patient. | entailment | ((?[X]:(~generous(X)))=>((happy(mary)&strong(mary))))&
((?[X]:((patient(X)<~>rich(X))))<=>(?[X]:((calm(X)|happy(X)))))&
(![X]:((~happy(X)|calm(X))<=>(humble(X)<~>wise(X))))&
(![X]:(~happy(X)<=>(~old(X)|~quiet(X))))&
(![X]:((kind(X)|~curious(X))<=>(happy(X)|~funny(X))))&
((brave(mary))<=>((wise(mary)|~tall(mary))))&
((?... | patient(alice) | [
"p3",
"p7",
"p10",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9033797905629571069653324
% SZS output start Proof for 9033797905629571069653324
4. ! [X0] : (~happy(X0) <=> (~quiet(X0) | ~old(X0))) [input p3]
8. ? [X0] : (~generous(X0) | ~curious(X0)) => (happy(alice) & brave(alice)) [input p7]
11. ! [X0] : ((~quiet(X0) | funny(X0)) <=> (rich(X0) & ~p... | 0 |
Everyone who is both generous and not brave is either not rich or not quiet and vice versa.
Everyone who is either quiet or kind is not strong or not creative and vice versa.
If lucy is not patient or not funny then someone is both tall and not quiet.
Everyone who is not calm or not patient is not kind or wise.
Everyon... | John is not strong. | neutral | (![X]:((generous(X)&~brave(X))<=>(~rich(X)<~>~quiet(X))))&
(![X]:((quiet(X)<~>kind(X))<=>(~strong(X)|~creative(X))))&
(((~patient(lucy)|~funny(lucy)))=>(?[X]:((tall(X)&~quiet(X)))))&
(![X]:((~calm(X)|~patient(X))=>(~kind(X)|wise(X))))&
(![X]:((~wise(X)|humble(X))<=>(~wise(X)|tall(X))))&
(![X]:(~kind(X)<=>(happy(X)|old(... | ~strong(john) | [] | null | 0 |
If someone is either not kind or quiet then lucy is either not wise or curious.
Everyone who is both not curious and curious is both not happy and funny.
If someone is either calm or not generous then alice is not humble and vice versa.
Everyone who is brave is both not rich and not happy and vice versa.
If john is bot... | Lucy is quiet. | entailment | ((?[X]:((~kind(X)<~>quiet(X))))=>((~wise(lucy)<~>curious(lucy))))&
(![X]:((~curious(X)&curious(X))=>(~happy(X)&funny(X))))&
((?[X]:((calm(X)<~>~generous(X))))<=>(~humble(alice)))&
(![X]:(brave(X)<=>(~rich(X)&~happy(X))))&
(((generous(john)&~strong(john)))<=>(?[X]:((~patient(X)|~rich(X)))))&
((?[X]:((generous(X)&~calm(X... | quiet(lucy) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2664635631201279498813697
% SZS output start Proof for 2664635631201279498813697
3. ? [X0] : (calm(X0) <~> ~generous(X0)) <=> ~humble(alice) [input p2]
4. ! [X0] : (brave(X0) <=> (~happy(X0) & ~rich(X0))) [input p3]
5. (~strong(john) & generous(john)) <=> ? [X0] : (~rich(X0) | ~patient(X0... | 0 |
Everyone who is either not strong or not funny is either generous or wise. If someone is funny or not brave then lucy is rich and vice versa. Everyone who is either not creative or not happy is rich and vice versa. Everyone who is either patient or not old is both generous and humble and vice versa. Everyone who is not... | Fred is funny. | entailment | (![X]:((~strong(X)<~>~funny(X))=>(generous(X)<~>wise(X))))&
((?[X]:((funny(X)|~brave(X))))<=>(rich(lucy)))&
(![X]:((~creative(X)<~>~happy(X))<=>rich(X)))&
(![X]:((patient(X)<~>~old(X))<=>(generous(X)&humble(X))))&
(![X]:(~rich(X)<=>(patient(X)<~>~happy(X))))&
((?[X]:(~happy(X)))<=>(?[X]:(~calm(X))))&
(![X]:((funny(X)<~... | funny(fred) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7129639717902652432186502
% SZS output start Proof for 7129639717902652432186502
9. ? [X0] : ~patient(X0) => funny(fred) [input p8]
13. ? [X0] : (rich(X0) | patient(X0)) <=> (~tall(lucy) & ~patient(lucy)) [input p12]
24. ~funny(fred) [input hypothesis]
30. funny(fred) | ! [X0] : patient(X... | 0 |
If someone is not happy then fred is both not rich and brave. If alice is either not patient or not old then someone is not tall. Everyone who is not rich or old is both kind and tall and vice versa. Everyone who is not wise or generous is wise. If someone is either patient or not tall then someone is both curious and ... | Fred is quiet. | entailment | ((?[X]:(~happy(X)))=>((~rich(fred)&brave(fred))))&
(((~patient(alice)<~>~old(alice)))=>(?[X]:(~tall(X))))&
(![X]:((~rich(X)|old(X))<=>(kind(X)&tall(X))))&
(![X]:((~wise(X)|generous(X))=>wise(X)))&
((?[X]:((patient(X)<~>~tall(X))))<=>(?[X]:((curious(X)&~happy(X)))))&
(![X]:((~old(X)|wise(X))=>(wise(X)<~>curious(X))))&
(... | quiet(fred) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4902402873230241811452531
% SZS output start Proof for 4902402873230241811452531
4. ! [X0] : ((generous(X0) | ~wise(X0)) => wise(X0)) [input p3]
8. (wise(lucy) | ~brave(lucy)) => quiet(fred) [input p7]
25. ~quiet(fred) [input hypothesis]
29. ! [X0] : (wise(X0) | (~generous(X0) & wise(X0))... | 0 |
Everyone who is not humble is both not quiet and old.
Everyone who is generous or curious is not curious.
If someone is funny then someone is old or strong.
Everyone who is either rich or creative is either not quiet or calm and vice versa.
Everyone who is both not tall and not humble is not kind or humble.
If someone ... | Mary is humble. | contradiction | (![X]:(~humble(X)=>(~quiet(X)&old(X))))&
(![X]:((generous(X)|curious(X))=>~curious(X)))&
((?[X]:(funny(X)))=>(?[X]:((old(X)|strong(X)))))&
(![X]:((rich(X)<~>creative(X))<=>(~quiet(X)<~>calm(X))))&
(![X]:((~tall(X)&~humble(X))=>(~kind(X)|humble(X))))&
((?[X]:((~rich(X)&curious(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~brave(... | humble(mary) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7320079725299976218580559
% SZS output start Proof for 7320079725299976218580559
2. ! [X0] : ((curious(X0) | generous(X0)) => ~curious(X0)) [input p1]
12. ! [X0] : (~curious(X0) <=> (~quiet(X0) & ~humble(X0))) [input p11]
22. humble(mary) [input hypothesis]
28. ! [X0] : (curious(X0) => ~c... | 0 |
If someone is either kind or not creative then someone is creative or not strong.
Everyone who is wise or not happy is not generous.
If susan is either funny or not creative then lucy is not wise or not strong.
If john is both not happy and humble then paul is not rich.
If john is both tall and not old then someone is ... | Mary is strong. | neutral | ((?[X]:((kind(X)<~>~creative(X))))=>(?[X]:((creative(X)|~strong(X)))))&
(![X]:((wise(X)|~happy(X))=>~generous(X)))&
(((funny(susan)<~>~creative(susan)))=>((~wise(lucy)|~strong(lucy))))&
(((~happy(john)&humble(john)))=>(~rich(paul)))&
(((tall(john)&~old(john)))<=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:((generous(X)|~happ... | strong(mary) | [] | null | 0 |
Everyone who is both not old and rich is both not rich and generous and vice versa.
Everyone who is brave or rich is not tall.
If someone is quiet or kind then fred is wise or quiet and vice versa.
Everyone who is quiet is both creative and strong and vice versa.
Everyone who is both humble and generous is creative and... | Mary is calm. | neutral | (![X]:((~old(X)&rich(X))<=>(~rich(X)&generous(X))))&
(![X]:((brave(X)|rich(X))=>~tall(X)))&
((?[X]:((quiet(X)|kind(X))))<=>((wise(fred)|quiet(fred))))&
(![X]:(quiet(X)<=>(creative(X)&strong(X))))&
(![X]:((humble(X)&generous(X))<=>creative(X)))&
(((~patient(lucy)&~old(lucy)))=>((kind(lucy)|quiet(lucy))))&
(![X]:((tall(X... | calm(mary) | [] | null | 0 |
Everyone who is both creative and generous is not kind or not generous and vice versa.
If someone is not generous or not kind then susan is curious and vice versa.
If someone is quiet or not humble then john is either funny or not brave and vice versa.
If lucy is not humble then fred is humble or not tall and vice vers... | Mary is not generous. | contradiction | (![X]:((creative(X)&generous(X))<=>(~kind(X)|~generous(X))))&
((?[X]:((~generous(X)|~kind(X))))<=>(curious(susan)))&
((?[X]:((quiet(X)|~humble(X))))<=>((funny(john)<~>~brave(john))))&
((~humble(lucy))<=>((humble(fred)|~tall(fred))))&
(![X]:((~old(X)&funny(X))<=>(~curious(X)&~funny(X))))&
(((strong(mary)<~>generous(mary... | ~generous(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3140583211957493594594928
% SZS output start Proof for 3140583211957493594594928
1. ! [X0] : ((generous(X0) & creative(X0)) <=> (~generous(X0) | ~kind(X0))) [input p0]
24. ~generous(mary) [input hypothesis]
31. ! [X0] : (((generous(X0) & creative(X0)) | (generous(X0) & kind(X0))) & ((~gen... | 0 |
Everyone who is both calm and creative is patient and vice versa.
If someone is not curious or not kind then someone is generous or calm and vice versa.
Everyone who is not old or patient is not patient or not humble.
If susan is not happy then fred is both humble and patient.
Everyone who is not happy or old is not ha... | Susan is not funny. | neutral | (![X]:((calm(X)&creative(X))<=>patient(X)))&
((?[X]:((~curious(X)|~kind(X))))<=>(?[X]:((generous(X)|calm(X)))))&
(![X]:((~old(X)|patient(X))=>(~patient(X)|~humble(X))))&
((~happy(susan))=>((humble(fred)&patient(fred))))&
(![X]:((~happy(X)|old(X))=>(~happy(X)|~generous(X))))&
((?[X]:((~strong(X)<~>wise(X))))=>(?[X]:((fu... | ~funny(susan) | [] | null | 0 |
Everyone who is rich is brave. Everyone who is both curious and not kind is not rich or happy. Everyone who is generous is not rich. Everyone who is strong is both not humble and not brave and vice versa. Everyone who is both creative and not curious is both funny and not calm and vice versa. If fred is not happy then ... | Paul is generous. | neutral | (![X]:(rich(X)=>brave(X)))&
(![X]:((curious(X)&~kind(X))=>(~rich(X)|happy(X))))&
(![X]:(generous(X)=>~rich(X)))&
(![X]:(strong(X)<=>(~humble(X)&~brave(X))))&
(![X]:((creative(X)&~curious(X))<=>(funny(X)&~calm(X))))&
((~happy(fred))<=>(?[X]:((calm(X)|curious(X)))))&
(((~creative(john)|humble(john)))<=>(?[X]:((wise(X)|pa... | generous(paul) | [] | null | 0 |
Everyone who is not wise is not calm. Everyone who is both not rich and patient is either kind or not patient. If someone is either not kind or not happy then someone is creative. If someone is not kind or not tall then paul is calm and vice versa. If lucy is both brave and not strong then someone is either not humble ... | Fred is not brave. | entailment | (![X]:(~wise(X)=>~calm(X)))&
(![X]:((~rich(X)&patient(X))=>(kind(X)<~>~patient(X))))&
((?[X]:((~kind(X)<~>~happy(X))))=>(?[X]:(creative(X))))&
((?[X]:((~kind(X)|~tall(X))))<=>(calm(paul)))&
(((brave(lucy)&~strong(lucy)))<=>(?[X]:((~humble(X)<~>patient(X)))))&
(![X]:((~tall(X)<~>~humble(X))<=>(~quiet(X)<~>~humble(X))))&... | ~brave(fred) | [
"p5",
"p10",
"p14",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3342116418202088444559245
% SZS output start Proof for 3342116418202088444559245
6. ! [X0] : ((~tall(X0) <~> ~humble(X0)) <=> (~quiet(X0) <~> ~humble(X0))) [input p5]
11. ! [X0] : ((creative(X0) | quiet(X0)) => (~quiet(X0) & ~generous(X0))) [input p10]
15. ! [X0] : ((~funny(X0) <~> quiet(... | 0 |
Everyone who is humble is patient and vice versa.
Everyone who is either not tall or not kind is not funny or humble.
Everyone who is rich is both wise and not curious and vice versa.
If someone is rich or tall then someone is either not creative or not tall and vice versa.
Everyone who is either happy or not patient i... | Alice is not patient. | entailment | (![X]:(humble(X)<=>patient(X)))&
(![X]:((~tall(X)<~>~kind(X))=>(~funny(X)|humble(X))))&
(![X]:(rich(X)<=>(wise(X)&~curious(X))))&
((?[X]:((rich(X)|tall(X))))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((happy(X)<~>~patient(X))<=>(~happy(X)|creative(X))))&
((funny(john))<=>(?[X]:((~rich(X)<~>rich(X)))))&
((~brave(fred... | ~patient(alice) | [
"p0",
"p4",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4206901619720000134384210
% SZS output start Proof for 4206901619720000134384210
1. ! [X0] : (humble(X0) <=> patient(X0)) [input p0]
5. ! [X0] : ((happy(X0) <~> ~patient(X0)) <=> (creative(X0) | ~happy(X0))) [input p4]
9. ? [X0] : (creative(X0) | ~quiet(X0)) => ~humble(alice) [input p8]
2... | 0 |
Everyone who is calm is not patient.
If someone is wise or rich then someone is both rich and not quiet.
If alice is not wise or quiet then someone is both generous and not brave and vice versa.
Everyone who is not brave or not old is both creative and patient.
Everyone who is generous or brave is not rich and vice ver... | Mary is not humble. | neutral | (![X]:(calm(X)=>~patient(X)))&
((?[X]:((wise(X)|rich(X))))=>(?[X]:((rich(X)&~quiet(X)))))&
(((~wise(alice)|quiet(alice)))<=>(?[X]:((generous(X)&~brave(X)))))&
(![X]:((~brave(X)|~old(X))=>(creative(X)&patient(X))))&
(![X]:((generous(X)|brave(X))<=>~rich(X)))&
(![X]:((~funny(X)&~generous(X))=>(rich(X)|~curious(X))))&
((?... | ~humble(mary) | [] | null | 0 |
Everyone who is either old or not quiet is both curious and not kind.
Everyone who is creative or patient is not quiet.
Everyone who is not happy or humble is both not brave and not funny.
Everyone who is not quiet is strong.
If someone is either brave or not curious then someone is funny and vice versa.
Everyone who i... | Paul is not tall. | neutral | (![X]:((old(X)<~>~quiet(X))=>(curious(X)&~kind(X))))&
(![X]:((creative(X)|patient(X))=>~quiet(X)))&
(![X]:((~happy(X)|humble(X))=>(~brave(X)&~funny(X))))&
(![X]:(~quiet(X)=>strong(X)))&
((?[X]:((brave(X)<~>~curious(X))))<=>(?[X]:(funny(X))))&
(![X]:((happy(X)&~kind(X))<=>(~wise(X)|~patient(X))))&
(![X]:((~brave(X)<~>fu... | ~tall(paul) | [] | null | 0 |
Everyone who is both wise and not kind is either not generous or kind and vice versa.
If someone is both happy and creative then susan is both not humble and brave.
Everyone who is both not strong and curious is either strong or not generous and vice versa.
If alice is both not kind and not curious then someone is eith... | Susan is not old. | entailment | (![X]:((wise(X)&~kind(X))<=>(~generous(X)<~>kind(X))))&
((?[X]:((happy(X)&creative(X))))=>((~humble(susan)&brave(susan))))&
(![X]:((~strong(X)&curious(X))<=>(strong(X)<~>~generous(X))))&
(((~kind(alice)&~curious(alice)))=>(?[X]:((~old(X)<~>~funny(X)))))&
(((patient(susan)<~>~funny(susan)))<=>(?[X]:(calm(X))))&
(![X]:((... | ~old(susan) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p7",
"p8",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9033531556104393177931935
% SZS output start Proof for 9033531556104393177931935
1. ! [X0] : ((~kind(X0) & wise(X0)) <=> (~generous(X0) <~> kind(X0))) [input p0]
2. ? [X0] : (creative(X0) & happy(X0)) => (brave(susan) & ~humble(susan)) [input p1]
3. ! [X0] : ((curious(X0) & ~strong(X0)) <... | 0 |
If someone is brave then lucy is not kind or not tall and vice versa. Everyone who is both brave and wise is either rich or not curious. Everyone who is either rich or strong is either not rich or quiet and vice versa. If someone is both creative and not rich then alice is either not funny or strong and vice versa. Eve... | Alice is patient. | entailment | ((?[X]:(brave(X)))<=>((~kind(lucy)|~tall(lucy))))&
(![X]:((brave(X)&wise(X))=>(rich(X)<~>~curious(X))))&
(![X]:((rich(X)<~>strong(X))<=>(~rich(X)<~>quiet(X))))&
((?[X]:((creative(X)&~rich(X))))<=>((~funny(alice)<~>strong(alice))))&
(![X]:((tall(X)&happy(X))<=>(funny(X)&tall(X))))&
((?[X]:((~old(X)<~>~quiet(X))))<=>((ge... | patient(alice) | [
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2601246587632787570732941
% SZS output start Proof for 2601246587632787570732941
10. ! [X0] : (~patient(X0) <=> (curious(X0) & ~tall(X0))) [input p9]
24. patient(alice) | ~curious(alice) [input p23]
25. ~patient(alice) [input hypothesis]
66. ! [X0] : ((~patient(X0) | (~curious(X0) | tall(... | 0 |
Everyone who is wise or calm is both not rich and not strong. If fred is not quiet then paul is calm or not quiet. Everyone who is both patient and not tall is brave or rich. Everyone who is either not happy or humble is generous or old and vice versa. Everyone who is not creative or patient is both happy and not tall.... | Alice is not calm. | entailment | (![X]:((wise(X)|calm(X))=>(~rich(X)&~strong(X))))&
((~quiet(fred))=>((calm(paul)|~quiet(paul))))&
(![X]:((patient(X)&~tall(X))=>(brave(X)|rich(X))))&
(![X]:((~happy(X)<~>humble(X))<=>(generous(X)|old(X))))&
(![X]:((~creative(X)|patient(X))=>(happy(X)&~tall(X))))&
((~quiet(fred))=>((~humble(fred)<~>~rich(fred))))&
((?[X... | ~calm(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3511138593980934614196214
% SZS output start Proof for 3511138593980934614196214
15. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~curious(X0) & ~calm(X0))) [input p14]
23. calm(alice) [input hypothesis]
48. ! [X0] : ((((~humble(X0) | humble(X0)) & (humble(X0) | ~humble(X0))) | (curious(X0... | 0 |
Everyone who is not generous or not old is both not generous and not calm. Everyone who is either quiet or generous is not calm. If someone is both not rich and not happy then someone is not rich or humble. Everyone who is both patient and funny is both funny and old and vice versa. Everyone who is both not wise and cu... | Paul is not curious. | entailment | (![X]:((~generous(X)|~old(X))=>(~generous(X)&~calm(X))))&
(![X]:((quiet(X)<~>generous(X))=>~calm(X)))&
((?[X]:((~rich(X)&~happy(X))))=>(?[X]:((~rich(X)|humble(X)))))&
(![X]:((patient(X)&funny(X))<=>(funny(X)&old(X))))&
(![X]:((~wise(X)&curious(X))=>~quiet(X)))&
(![X]:((tall(X)|~happy(X))<=>(curious(X)&happy(X))))&
(![X... | ~curious(paul) | [
"p0",
"p1",
"p4",
"p8",
"p11",
"p13",
"p14",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6914218330525353555783828
% SZS output start Proof for 6914218330525353555783828
1. ! [X0] : ((~old(X0) | ~generous(X0)) => (~calm(X0) & ~generous(X0))) [input p0]
2. ! [X0] : ((quiet(X0) <~> generous(X0)) => ~calm(X0)) [input p1]
5. ! [X0] : ((curious(X0) & ~wise(X0)) => ~quiet(X0)) [inp... | 0 |
If someone is not curious or creative then someone is both calm and not rich and vice versa. If paul is rich or happy then lucy is not curious or tall. Everyone who is wise is strong and vice versa. Everyone who is either creative or rich is either not kind or quiet. Everyone who is brave or humble is not generous and ... | Alice is not rich. | neutral | ((?[X]:((~curious(X)|creative(X))))<=>(?[X]:((calm(X)&~rich(X)))))&
(((rich(paul)|happy(paul)))=>((~curious(lucy)|tall(lucy))))&
(![X]:(wise(X)<=>strong(X)))&
(![X]:((creative(X)<~>rich(X))=>(~kind(X)<~>quiet(X))))&
(![X]:((brave(X)|humble(X))<=>~generous(X)))&
(((old(susan)<~>funny(susan)))=>(?[X]:(kind(X))))&
((old(f... | ~rich(alice) | [] | null | 0 |
Everyone who is both generous and not funny is old and vice versa. Everyone who is quiet or not brave is both not calm and happy. If fred is both rich and patient then someone is both creative and not creative and vice versa. If someone is either not tall or generous then someone is not humble. Everyone who is not curi... | John is not creative. | entailment | (![X]:((generous(X)&~funny(X))<=>old(X)))&
(![X]:((quiet(X)|~brave(X))=>(~calm(X)&happy(X))))&
(((rich(fred)&patient(fred)))<=>(?[X]:((creative(X)&~creative(X)))))&
((?[X]:((~tall(X)<~>generous(X))))=>(?[X]:(~humble(X))))&
(![X]:(~curious(X)<=>creative(X)))&
(![X]:((~humble(X)<~>calm(X))<=>creative(X)))&
(((~old(mary)&... | ~creative(john) | [
"p5",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7072501257719079288907558
% SZS output start Proof for 7072501257719079288907558
6. ! [X0] : ((~humble(X0) <~> calm(X0)) <=> creative(X0)) [input p5]
17. ~rich(john) & calm(john) [input p16]
19. tall(john) & ~humble(john) [input p18]
25. creative(john) [input hypothesis]
47. ! [X0] : ((((... | 0 |
Everyone who is both funny and strong is calm or curious and vice versa.
If alice is not strong then someone is wise or not quiet.
Everyone who is not patient is wise.
If fred is both old and kind then someone is either old or not creative and vice versa.
Everyone who is not rich or tall is happy.
If someone is quiet o... | Lucy is not calm. | contradiction | (![X]:((funny(X)&strong(X))<=>(calm(X)|curious(X))))&
((~strong(alice))=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:(~patient(X)=>wise(X)))&
(((old(fred)&kind(fred)))<=>(?[X]:((old(X)<~>~creative(X)))))&
(![X]:((~rich(X)|tall(X))=>happy(X)))&
((?[X]:((quiet(X)|wise(X))))<=>((wise(paul)&strong(paul))))&
(((kind(john)|~old(joh... | ~calm(lucy) | [
"p0",
"p2",
"p5",
"p11",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4614110415640932530482639
% SZS output start Proof for 4614110415640932530482639
1. ! [X0] : ((strong(X0) & funny(X0)) <=> (curious(X0) | calm(X0))) [input p0]
3. ! [X0] : (~patient(X0) => wise(X0)) [input p2]
6. ? [X0] : (wise(X0) | quiet(X0)) <=> (strong(paul) & wise(paul)) [input p5]
1... | 0 |
If someone is not humble or not wise then susan is both kind and not creative.
Everyone who is not humble is strong or generous and vice versa.
Everyone who is strong is not patient and vice versa.
Everyone who is not funny is both not quiet and tall.
Everyone who is kind is both not generous and not happy.
Everyone wh... | Paul is creative. | entailment | ((?[X]:((~humble(X)|~wise(X))))=>((kind(susan)&~creative(susan))))&
(![X]:(~humble(X)<=>(strong(X)|generous(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:(~funny(X)=>(~quiet(X)&tall(X))))&
(![X]:(kind(X)=>(~generous(X)&~happy(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~rich(X)&~kind(X))))&
((?[X]:((~generous(X)&funny(X))))... | creative(paul) | [
"p0",
"p1",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5277703189253553906497261
% SZS output start Proof for 5277703189253553906497261
1. ? [X0] : (~wise(X0) | ~humble(X0)) => (~creative(susan) & kind(susan)) [input p0]
2. ! [X0] : (~humble(X0) <=> (generous(X0) | strong(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (~kind(X0) &... | 0 |
If someone is either not creative or not strong then susan is not quiet.
Everyone who is either not old or funny is not funny or not wise.
Everyone who is either not curious or not quiet is calm.
If lucy is both funny and not rich then mary is patient.
Everyone who is not wise is rich or brave.
Everyone who is brave is... | Paul is not happy. | neutral | ((?[X]:((~creative(X)<~>~strong(X))))=>(~quiet(susan)))&
(![X]:((~old(X)<~>funny(X))=>(~funny(X)|~wise(X))))&
(![X]:((~curious(X)<~>~quiet(X))=>calm(X)))&
(((funny(lucy)&~rich(lucy)))=>(patient(mary)))&
(![X]:(~wise(X)=>(rich(X)|brave(X))))&
(![X]:(brave(X)=>(~quiet(X)&~generous(X))))&
((?[X]:(kind(X)))=>((~wise(lucy)|... | ~happy(paul) | [] | null | 0 |
If someone is rich then paul is tall and vice versa. If mary is either not happy or humble then someone is either not strong or calm. If alice is not happy then someone is either brave or calm. Everyone who is either not tall or not creative is creative. If mary is either strong or not quiet then lucy is either wise or... | John is brave. | contradiction | ((?[X]:(rich(X)))<=>(tall(paul)))&
(((~happy(mary)<~>humble(mary)))=>(?[X]:((~strong(X)<~>calm(X)))))&
((~happy(alice))=>(?[X]:((brave(X)<~>calm(X)))))&
(![X]:((~tall(X)<~>~creative(X))=>creative(X)))&
(((strong(mary)<~>~quiet(mary)))<=>((wise(lucy)<~>curious(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~wise(X)|~strong(X)... | brave(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4323826239067940526307742
% SZS output start Proof for 4323826239067940526307742
8. ! [X0] : ((brave(X0) | ~rich(X0)) => (~calm(X0) & calm(X0))) [input p7]
21. brave(john) [input hypothesis]
27. ! [X0] : ((~calm(X0) & calm(X0)) | (~brave(X0) & rich(X0))) [ennf transformation 8]
98. calm(X... | 0 |
Everyone who is not wise or not strong is not creative.
Everyone who is not tall is not funny or quiet and vice versa.
If susan is both rich and not old then paul is both not happy and not strong and vice versa.
Everyone who is both kind and not kind is creative and vice versa.
Everyone who is either kind or not creati... | Mary is not quiet. | neutral | (![X]:((~wise(X)|~strong(X))=>~creative(X)))&
(![X]:(~tall(X)<=>(~funny(X)|quiet(X))))&
(((rich(susan)&~old(susan)))<=>((~happy(paul)&~strong(paul))))&
(![X]:((kind(X)&~kind(X))<=>creative(X)))&
(![X]:((kind(X)<~>~creative(X))<=>(creative(X)|~creative(X))))&
((brave(mary))<=>((~calm(mary)|curious(mary))))&
(![X]:(~happ... | ~quiet(mary) | [] | null | 0 |
Everyone who is not funny is both quiet and not funny. Everyone who is either not humble or funny is old and vice versa. Everyone who is strong or not generous is happy or creative. Everyone who is either not creative or not generous is not brave. If someone is not generous or tall then mary is both not curious and pat... | Lucy is quiet. | entailment | (![X]:(~funny(X)=>(quiet(X)&~funny(X))))&
(![X]:((~humble(X)<~>funny(X))<=>old(X)))&
(![X]:((strong(X)|~generous(X))=>(happy(X)|creative(X))))&
(![X]:((~creative(X)<~>~generous(X))=>~brave(X)))&
((?[X]:((~generous(X)|tall(X))))=>((~curious(mary)&patient(mary))))&
(![X]:((happy(X)<~>~tall(X))=>(~patient(X)&~quiet(X))))&... | quiet(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 651273373133122018479262
% SZS output start Proof for 651273373133122018479262
1. ! [X0] : (~funny(X0) => (~funny(X0) & quiet(X0))) [input p0]
2. ! [X0] : ((~humble(X0) <~> funny(X0)) <=> old(X0)) [input p1]
3. ! [X0] : ((~generous(X0) | strong(X0)) => (creative(X0) | happy(X0))) [input p... | 0 |
If someone is not tall or funny then mary is not creative or not strong and vice versa.
If susan is either not quiet or generous then paul is either happy or not patient and vice versa.
If alice is not kind then fred is not kind.
If someone is not curious then lucy is either not patient or humble.
Everyone who is not q... | Lucy is creative. | neutral | ((?[X]:((~tall(X)|funny(X))))<=>((~creative(mary)|~strong(mary))))&
(((~quiet(susan)<~>generous(susan)))<=>((happy(paul)<~>~patient(paul))))&
((~kind(alice))=>(~kind(fred)))&
((?[X]:(~curious(X)))=>((~patient(lucy)<~>humble(lucy))))&
(![X]:((~quiet(X)|~tall(X))=>happy(X)))&
((?[X]:((~wise(X)|generous(X))))<=>((tall(pau... | creative(lucy) | [] | null | 0 |
If paul is either happy or wise then someone is brave or happy and vice versa.
Everyone who is both not rich and kind is wise and vice versa.
Everyone who is both brave and curious is either strong or not wise and vice versa.
Everyone who is happy is generous.
Everyone who is both funny and not old is quiet or not curi... | Fred is not strong. | neutral | (((happy(paul)<~>wise(paul)))<=>(?[X]:((brave(X)|happy(X)))))&
(![X]:((~rich(X)&kind(X))<=>wise(X)))&
(![X]:((brave(X)&curious(X))<=>(strong(X)<~>~wise(X))))&
(![X]:(happy(X)=>generous(X)))&
(![X]:((funny(X)&~old(X))<=>(quiet(X)|~curious(X))))&
(((generous(susan)<~>~wise(susan)))=>(~kind(fred)))&
(((~funny(alice)<~>~st... | ~strong(fred) | [] | null | 0 |
Everyone who is not quiet is both old and generous. Everyone who is not old or kind is either not rich or not strong. If someone is both brave and not generous then someone is brave. If fred is either wise or tall then someone is either not old or creative and vice versa. Everyone who is not generous is rich and vice v... | Alice is tall. | neutral | (![X]:(~quiet(X)=>(old(X)&generous(X))))&
(![X]:((~old(X)|kind(X))=>(~rich(X)<~>~strong(X))))&
((?[X]:((brave(X)&~generous(X))))=>(?[X]:(brave(X))))&
(((wise(fred)<~>tall(fred)))<=>(?[X]:((~old(X)<~>creative(X)))))&
(![X]:(~generous(X)<=>rich(X)))&
(![X]:((~strong(X)<~>generous(X))=>(~old(X)&wise(X))))&
(![X]:((tall(X)... | tall(alice) | [] | null | 0 |
If susan is not calm then someone is either generous or not calm.
Everyone who is either wise or not old is either not wise or strong and vice versa.
If paul is humble then mary is not wise or not old.
Everyone who is not brave is curious or wise.
Everyone who is not brave or kind is quiet and vice versa.
If fred is fu... | Fred is not quiet. | neutral | ((~calm(susan))=>(?[X]:((generous(X)<~>~calm(X)))))&
(![X]:((wise(X)<~>~old(X))<=>(~wise(X)<~>strong(X))))&
((humble(paul))=>((~wise(mary)|~old(mary))))&
(![X]:(~brave(X)=>(curious(X)|wise(X))))&
(![X]:((~brave(X)|kind(X))<=>quiet(X)))&
(((funny(fred)|~humble(fred)))=>(?[X]:((~rich(X)&humble(X)))))&
(![X]:((~calm(X)|ha... | ~quiet(fred) | [] | null | 0 |
If paul is humble then lucy is either not rich or not curious and vice versa.
If someone is creative then someone is not old or not calm and vice versa.
If someone is not kind or not patient then someone is not rich.
If someone is not tall or quiet then someone is either not rich or patient and vice versa.
Everyone who... | Fred is curious. | entailment | ((humble(paul))<=>((~rich(lucy)<~>~curious(lucy))))&
((?[X]:(creative(X)))<=>(?[X]:((~old(X)|~calm(X)))))&
((?[X]:((~kind(X)|~patient(X))))=>(?[X]:(~rich(X))))&
((?[X]:((~tall(X)|quiet(X))))<=>(?[X]:((~rich(X)<~>patient(X)))))&
(![X]:((rich(X)|~rich(X))=>(curious(X)&generous(X))))&
(![X]:((~happy(X)<~>~quiet(X))<=>kind... | curious(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5523707880512920324170417
% SZS output start Proof for 5523707880512920324170417
5. ! [X0] : ((~rich(X0) | rich(X0)) => (generous(X0) & curious(X0))) [input p4]
22. ~curious(fred) [input hypothesis]
27. ! [X0] : ((generous(X0) & curious(X0)) | (rich(X0) & ~rich(X0))) [ennf transformation ... | 0 |
Everyone who is either tall or quiet is not brave. If lucy is not curious then someone is both not old and not funny and vice versa. If alice is either not humble or tall then paul is both strong and not tall and vice versa. Everyone who is calm is old and vice versa. If susan is not creative then someone is kind and v... | Paul is brave. | contradiction | (![X]:((tall(X)<~>quiet(X))=>~brave(X)))&
((~curious(lucy))<=>(?[X]:((~old(X)&~funny(X)))))&
(((~humble(alice)<~>tall(alice)))<=>((strong(paul)&~tall(paul))))&
(![X]:(calm(X)<=>old(X)))&
((~creative(susan))<=>(?[X]:(kind(X))))&
(![X]:((~tall(X)<~>~quiet(X))<=>brave(X)))&
(![X]:((~wise(X)<~>creative(X))=>(patient(X)<~>c... | brave(paul) | [
"p0",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4755099646953195386360187
% SZS output start Proof for 4755099646953195386360187
1. ! [X0] : ((tall(X0) <~> quiet(X0)) => ~brave(X0)) [input p0]
6. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> brave(X0)) [input p5]
16. ! [X0] : ((tall(X0) | ~curious(X0)) => (~tall(X0) & ~quiet(X0))) [input p1... | 0 |
If susan is either curious or not creative then someone is not wise and vice versa. Everyone who is old is kind or not quiet. If mary is old then someone is wise or rich and vice versa. Everyone who is wise is both curious and quiet and vice versa. If lucy is either funny or not strong then someone is both kind and str... | John is wise. | contradiction | (((curious(susan)<~>~creative(susan)))<=>(?[X]:(~wise(X))))&
(![X]:(old(X)=>(kind(X)|~quiet(X))))&
((old(mary))<=>(?[X]:((wise(X)|rich(X)))))&
(![X]:(wise(X)<=>(curious(X)&quiet(X))))&
(((funny(lucy)<~>~strong(lucy)))<=>(?[X]:((kind(X)&strong(X)))))&
((?[X]:((wise(X)&~brave(X))))=>(?[X]:((~brave(X)&~wise(X)))))&
((?[X]... | wise(john) | [
"p2",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5496732054862092661632251
% SZS output start Proof for 5496732054862092661632251
3. old(mary) <=> ? [X0] : (rich(X0) | wise(X0)) [input p2]
9. ! [X0] : (humble(X0) <=> ~calm(X0)) [input p8]
10. ? [X0] : (old(X0) | rich(X0)) <=> (~calm(john) & ~humble(john)) [input p9]
23. wise(john) [inpu... | 0 |
Everyone who is not generous is funny. Everyone who is not patient or calm is not tall and vice versa. If mary is either quiet or not curious then someone is both not kind and not strong. If someone is either not patient or not strong then someone is creative or humble. Everyone who is both quiet and not kind is both c... | Mary is not brave. | entailment | (![X]:(~generous(X)=>funny(X)))&
(![X]:((~patient(X)|calm(X))<=>~tall(X)))&
(((quiet(mary)<~>~curious(mary)))=>(?[X]:((~kind(X)&~strong(X)))))&
((?[X]:((~patient(X)<~>~strong(X))))=>(?[X]:((creative(X)|humble(X)))))&
(![X]:((quiet(X)&~kind(X))<=>(calm(X)&happy(X))))&
(![X]:((~happy(X)|happy(X))<=>(~wise(X)&~brave(X))))... | ~brave(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8763036771421377264615299
% SZS output start Proof for 8763036771421377264615299
6. ! [X0] : ((happy(X0) | ~happy(X0)) <=> (~brave(X0) & ~wise(X0))) [input p5]
25. brave(mary) [input hypothesis]
51. ! [X0] : (((happy(X0) | ~happy(X0)) | (brave(X0) | wise(X0))) & ((~brave(X0) & ~wise(X0)) ... | 0 |
Everyone who is brave or calm is not patient or not old and vice versa. Everyone who is either not strong or not creative is not brave and vice versa. Everyone who is both not rich and not tall is either happy or brave. If someone is both not humble and calm then someone is either not strong or not brave and vice versa... | Lucy is brave. | neutral | (![X]:((brave(X)|calm(X))<=>(~patient(X)|~old(X))))&
(![X]:((~strong(X)<~>~creative(X))<=>~brave(X)))&
(![X]:((~rich(X)&~tall(X))=>(happy(X)<~>brave(X))))&
((?[X]:((~humble(X)&calm(X))))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
((?[X]:((funny(X)&~patient(X))))=>(?[X]:((~calm(X)&brave(X)))))&
(![X]:((~patient(X)<~>~tall(X)... | brave(lucy) | [] | null | 0 |
Everyone who is creative or tall is both funny and not funny. Everyone who is not strong or not generous is rich. Everyone who is not humble is both brave and not tall and vice versa. Everyone who is either happy or not quiet is not brave or calm and vice versa. Everyone who is not calm is both not curious and patient ... | Alice is humble. | contradiction | (![X]:((creative(X)|tall(X))=>(funny(X)&~funny(X))))&
(![X]:((~strong(X)|~generous(X))=>rich(X)))&
(![X]:(~humble(X)<=>(brave(X)&~tall(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>(~brave(X)|calm(X))))&
(![X]:(~calm(X)<=>(~curious(X)&patient(X))))&
(![X]:((curious(X)&~generous(X))<=>(~wise(X)&~kind(X))))&
((?[X]:((~calm(X)&w... | humble(alice) | [
"p0",
"p2",
"p3",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1916204309401519908613238
% SZS output start Proof for 1916204309401519908613238
1. ! [X0] : ((tall(X0) | creative(X0)) => (~funny(X0) & funny(X0))) [input p0]
3. ! [X0] : (~humble(X0) <=> (~tall(X0) & brave(X0))) [input p2]
4. ! [X0] : ((happy(X0) <~> ~quiet(X0)) <=> (calm(X0) | ~brave(X... | 0 |
Everyone who is not tall is wise.
Everyone who is not humble is both not humble and happy and vice versa.
If susan is strong or happy then someone is calm.
Everyone who is brave or funny is either kind or not old and vice versa.
Everyone who is not strong or rich is not calm and vice versa.
If someone is either strong ... | Mary is generous. | entailment | (![X]:(~tall(X)=>wise(X)))&
(![X]:(~humble(X)<=>(~humble(X)&happy(X))))&
(((strong(susan)|happy(susan)))=>(?[X]:(calm(X))))&
(![X]:((brave(X)|funny(X))<=>(kind(X)<~>~old(X))))&
(![X]:((~strong(X)|rich(X))<=>~calm(X)))&
((?[X]:((strong(X)<~>~curious(X))))<=>(?[X]:((~creative(X)<~>strong(X)))))&
(((brave(john)<~>rich(joh... | generous(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 22676622647534663087317
% SZS output start Proof for 22676622647534663087317
17. funny(mary) & generous(mary) [input p16]
24. ~generous(mary) [input hypothesis]
125. generous(mary) [cnf transformation 17]
135. ~generous(mary) [cnf transformation 24]
256. $false [subsumption resolution 135... | 0 |
If someone is kind or strong then someone is not happy. Everyone who is happy is either not patient or not kind. Everyone who is either happy or not creative is not strong and vice versa. Everyone who is not wise is humble and vice versa. Everyone who is either generous or wise is either not strong or not kind. Everyon... | John is not kind. | contradiction | ((?[X]:((kind(X)|strong(X))))=>(?[X]:(~happy(X))))&
(![X]:(happy(X)=>(~patient(X)<~>~kind(X))))&
(![X]:((happy(X)<~>~creative(X))<=>~strong(X)))&
(![X]:(~wise(X)<=>humble(X)))&
(![X]:((generous(X)<~>wise(X))=>(~strong(X)<~>~kind(X))))&
(![X]:((kind(X)&rich(X))<=>(~old(X)<~>kind(X))))&
((?[X]:((~strong(X)<~>generous(X))... | ~kind(john) | [
"p2",
"p3",
"p4",
"p7",
"p12",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 50880502233013950308535
% SZS output start Proof for 50880502233013950308535
3. ! [X0] : ((happy(X0) <~> ~creative(X0)) <=> ~strong(X0)) [input p2]
4. ! [X0] : (~wise(X0) <=> humble(X0)) [input p3]
5. ! [X0] : ((generous(X0) <~> wise(X0)) => (~strong(X0) <~> ~kind(X0))) [input p4]
8. ! [X... | 0 |
If alice is not tall or not quiet then mary is either not patient or not creative.
Everyone who is both not funny and not strong is not calm and vice versa.
Everyone who is either rich or not happy is not patient or not humble and vice versa.
If susan is quiet or wise then susan is either quiet or rich and vice versa.
... | Susan is funny. | neutral | (((~tall(alice)|~quiet(alice)))=>((~patient(mary)<~>~creative(mary))))&
(![X]:((~funny(X)&~strong(X))<=>~calm(X)))&
(![X]:((rich(X)<~>~happy(X))<=>(~patient(X)|~humble(X))))&
(((quiet(susan)|wise(susan)))<=>((quiet(susan)<~>rich(susan))))&
((?[X]:(~calm(X)))=>(?[X]:(~brave(X))))&
(![X]:((creative(X)&~humble(X))=>~old(X... | funny(susan) | [] | null | 0 |
If someone is patient or not old then someone is creative. If someone is either not tall or not brave then john is not funny or funny and vice versa. If someone is both curious and not wise then john is not kind or not generous and vice versa. Everyone who is not curious or curious is brave or not creative and vice ver... | Lucy is not tall. | entailment | ((?[X]:((patient(X)|~old(X))))=>(?[X]:(creative(X))))&
((?[X]:((~tall(X)<~>~brave(X))))<=>((~funny(john)|funny(john))))&
((?[X]:((curious(X)&~wise(X))))<=>((~kind(john)|~generous(john))))&
(![X]:((~curious(X)|curious(X))<=>(brave(X)|~creative(X))))&
(((old(susan)<~>~generous(susan)))=>((~old(fred)<~>tall(fred))))&
((ta... | ~tall(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 650074687010391355945355
% SZS output start Proof for 650074687010391355945355
12. ! [X0] : ((~generous(X0) & ~tall(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p11]
25. tall(lucy) [input hypothesis]
68. ! [X0] : (((~generous(X0) & ~tall(X0)) | ((curious(X0) | curious(X0)) & (~curious(... | 0 |
Everyone who is both kind and not quiet is tall. If lucy is both quiet and not wise then someone is not generous. If someone is both humble and calm then someone is not curious and vice versa. If someone is either calm or strong then mary is rich. If john is rich or not funny then someone is either not patient or not o... | John is not generous. | neutral | (![X]:((kind(X)&~quiet(X))=>tall(X)))&
(((quiet(lucy)&~wise(lucy)))=>(?[X]:(~generous(X))))&
((?[X]:((humble(X)&calm(X))))<=>(?[X]:(~curious(X))))&
((?[X]:((calm(X)<~>strong(X))))=>(rich(mary)))&
(((rich(john)|~funny(john)))=>(?[X]:((~patient(X)<~>~old(X)))))&
(![X]:((happy(X)&~curious(X))=>(~generous(X)&patient(X))))&... | ~generous(john) | [] | null | 0 |
Everyone who is either wise or brave is either creative or not patient and vice versa.
Everyone who is either not creative or not brave is not creative or happy.
If someone is both creative and not brave then paul is not tall or quiet.
If someone is both kind and quiet then someone is happy.
Everyone who is both not ki... | Lucy is not brave. | contradiction | (![X]:((wise(X)<~>brave(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((~creative(X)<~>~brave(X))=>(~creative(X)|happy(X))))&
((?[X]:((creative(X)&~brave(X))))=>((~tall(paul)|quiet(paul))))&
((?[X]:((kind(X)&quiet(X))))=>(?[X]:(happy(X))))&
(![X]:((~kind(X)&generous(X))<=>(creative(X)<~>~humble(X))))&
(![X]:((quiet(X)&~hu... | ~brave(lucy) | [
"p0",
"p7",
"p8",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6711144995048862517554270
% SZS output start Proof for 6711144995048862517554270
1. ! [X0] : ((wise(X0) <~> brave(X0)) <=> (creative(X0) <~> ~patient(X0))) [input p0]
8. ! [X0] : (~wise(X0) <=> (~curious(X0) & ~calm(X0))) [input p7]
9. ! [X0] : ((~wise(X0) | funny(X0)) <=> (curious(X0) <~... | 0 |
Everyone who is rich is both happy and not brave. If alice is both not calm and not strong then someone is wise or patient and vice versa. Everyone who is both not curious and calm is not curious or not wise and vice versa. Everyone who is not brave is either tall or not strong and vice versa. Everyone who is quiet or ... | Susan is calm. | neutral | (![X]:(rich(X)=>(happy(X)&~brave(X))))&
(((~calm(alice)&~strong(alice)))<=>(?[X]:((wise(X)|patient(X)))))&
(![X]:((~curious(X)&calm(X))<=>(~curious(X)|~wise(X))))&
(![X]:(~brave(X)<=>(tall(X)<~>~strong(X))))&
(![X]:((quiet(X)|~patient(X))<=>(creative(X)|tall(X))))&
(![X]:((happy(X)|~quiet(X))<=>(~quiet(X)|old(X))))&
((... | calm(susan) | [] | null | 0 |
Everyone who is strong is generous and vice versa.
If susan is both kind and not wise then someone is not kind and vice versa.
Everyone who is not tall is not quiet and vice versa.
Everyone who is both not funny and not creative is not rich and vice versa.
If someone is both not humble and not strong then someone is ei... | Lucy is curious. | neutral | (![X]:(strong(X)<=>generous(X)))&
(((kind(susan)&~wise(susan)))<=>(?[X]:(~kind(X))))&
(![X]:(~tall(X)<=>~quiet(X)))&
(![X]:((~funny(X)&~creative(X))<=>~rich(X)))&
((?[X]:((~humble(X)&~strong(X))))<=>(?[X]:((kind(X)<~>~happy(X)))))&
(![X]:((creative(X)<~>~old(X))=>(happy(X)&tall(X))))&
(![X]:(~strong(X)=>kind(X)))&
(![X... | curious(lucy) | [] | null | 0 |
Everyone who is either strong or brave is brave or calm. Everyone who is strong is calm. If someone is either not old or wise then mary is both not funny and not humble. If susan is both humble and rich then someone is not curious or generous. Everyone who is both not generous and not humble is brave or not patient. If... | Alice is not wise. | neutral | (![X]:((strong(X)<~>brave(X))=>(brave(X)|calm(X))))&
(![X]:(strong(X)=>calm(X)))&
((?[X]:((~old(X)<~>wise(X))))=>((~funny(mary)&~humble(mary))))&
(((humble(susan)&rich(susan)))=>(?[X]:((~curious(X)|generous(X)))))&
(![X]:((~generous(X)&~humble(X))=>(brave(X)|~patient(X))))&
(((~humble(john)&~wise(john)))=>((tall(fred)<... | ~wise(alice) | [] | null | 0 |
Everyone who is not wise or brave is not kind.
Everyone who is either happy or tall is both rich and curious.
Everyone who is not calm or not humble is both happy and wise.
Everyone who is either not tall or not happy is both generous and creative and vice versa.
If someone is both quiet and creative then alice is not ... | Mary is not wise. | contradiction | (![X]:((~wise(X)|brave(X))=>~kind(X)))&
(![X]:((happy(X)<~>tall(X))=>(rich(X)&curious(X))))&
(![X]:((~calm(X)|~humble(X))=>(happy(X)&wise(X))))&
(![X]:((~tall(X)<~>~happy(X))<=>(generous(X)&creative(X))))&
((?[X]:((quiet(X)&creative(X))))=>(~patient(alice)))&
(![X]:((rich(X)|~strong(X))<=>(happy(X)&brave(X))))&
(![X]:(... | ~wise(mary) | [
"p5",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 850385448842528405652630
% SZS output start Proof for 850385448842528405652630
6. ! [X0] : ((~strong(X0) | rich(X0)) <=> (brave(X0) & happy(X0))) [input p5]
8. ! [X0] : (strong(X0) <=> (happy(X0) | ~patient(X0))) [input p7]
14. ? [X0] : ~strong(X0) <=> ? [X0] : (~wise(X0) | kind(X0)) [inp... | 0 |
If someone is humble then mary is not humble. Everyone who is not creative is either kind or not wise. Everyone who is not wise or not quiet is strong. If someone is not curious or humble then mary is strong and vice versa. Everyone who is generous or strong is not kind and vice versa. If someone is generous then paul ... | Paul is not generous. | neutral | ((?[X]:(humble(X)))=>(~humble(mary)))&
(![X]:(~creative(X)=>(kind(X)<~>~wise(X))))&
(![X]:((~wise(X)|~quiet(X))=>strong(X)))&
((?[X]:((~curious(X)|humble(X))))<=>(strong(mary)))&
(![X]:((generous(X)|strong(X))<=>~kind(X)))&
((?[X]:(generous(X)))<=>((~funny(paul)<~>calm(paul))))&
(![X]:((old(X)<~>~happy(X))<=>(creative(... | ~generous(paul) | [] | null | 0 |
Everyone who is either curious or not curious is not patient or generous.
If lucy is both not humble and not rich then someone is funny or not creative and vice versa.
If alice is not generous or calm then susan is not brave and vice versa.
Everyone who is wise is either humble or not strong.
If paul is either not old ... | Susan is not strong. | contradiction | (![X]:((curious(X)<~>~curious(X))=>(~patient(X)|generous(X))))&
(((~humble(lucy)&~rich(lucy)))<=>(?[X]:((funny(X)|~creative(X)))))&
(((~generous(alice)|calm(alice)))<=>(~brave(susan)))&
(![X]:(wise(X)=>(humble(X)<~>~strong(X))))&
(((~old(paul)<~>kind(paul)))=>((quiet(lucy)&~quiet(lucy))))&
(![X]:((generous(X)|~strong(X... | ~strong(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2080861780122916536807952
% SZS output start Proof for 2080861780122916536807952
6. ! [X0] : ((~strong(X0) | generous(X0)) <=> (funny(X0) & ~funny(X0))) [input p5]
24. ~strong(susan) [input hypothesis]
51. ! [X0] : (((~strong(X0) | generous(X0)) | (~funny(X0) | funny(X0))) & ((funny(X0) &... | 0 |
If lucy is either not patient or not wise then mary is either not happy or not wise. Everyone who is both creative and not quiet is either rich or not happy and vice versa. If someone is not funny then mary is not old. If susan is both funny and creative then someone is both not quiet and not generous and vice versa. I... | Mary is not wise. | entailment | (((~patient(lucy)<~>~wise(lucy)))=>((~happy(mary)<~>~wise(mary))))&
(![X]:((creative(X)&~quiet(X))<=>(rich(X)<~>~happy(X))))&
((?[X]:(~funny(X)))=>(~old(mary)))&
(((funny(susan)&creative(susan)))<=>(?[X]:((~quiet(X)&~generous(X)))))&
(((~patient(mary)<~>curious(mary)))<=>(?[X]:((strong(X)|rich(X)))))&
(![X]:((generous(... | ~wise(mary) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6699887011280521126756831
% SZS output start Proof for 6699887011280521126756831
23. ~wise(mary) [input p22]
25. wise(mary) [input hypothesis]
163. ~wise(mary) [cnf transformation 23]
165. wise(mary) [cnf transformation 25]
179. 4 <=> wise(mary) [avatar definition]
442. ~4 [avatar split c... | 0 |
If john is either not rich or not curious then mary is both happy and not patient and vice versa. Everyone who is not curious is calm. If alice is creative then john is either tall or not humble. If someone is both not old and curious then fred is both not wise and not tall and vice versa. Everyone who is either not ha... | Susan is kind. | contradiction | (((~rich(john)<~>~curious(john)))<=>((happy(mary)&~patient(mary))))&
(![X]:(~curious(X)=>calm(X)))&
((creative(alice))=>((tall(john)<~>~humble(john))))&
((?[X]:((~old(X)&curious(X))))<=>((~wise(fred)&~tall(fred))))&
(![X]:((~happy(X)<~>~curious(X))<=>(generous(X)|patient(X))))&
(![X]:((~kind(X)<~>~humble(X))=>(humble(X... | kind(susan) | [
"p4",
"p7",
"p9",
"p14",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8752084601910693122807068
% SZS output start Proof for 8752084601910693122807068
5. ! [X0] : ((~happy(X0) <~> ~curious(X0)) <=> (patient(X0) | generous(X0))) [input p4]
8. ! [X0] : (~calm(X0) <=> (~happy(X0) <~> kind(X0))) [input p7]
10. ! [X0] : ((happy(X0) <~> ~calm(X0)) <=> (~humble(X0... | 0 |
Everyone who is old is either not humble or not strong. Everyone who is creative or wise is both not generous and not curious and vice versa. Everyone who is both not rich and funny is wise or curious. If someone is either funny or creative then someone is either not kind or rich and vice versa. If mary is either brave... | Lucy is not tall. | contradiction | (![X]:(old(X)=>(~humble(X)<~>~strong(X))))&
(![X]:((creative(X)|wise(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~rich(X)&funny(X))=>(wise(X)|curious(X))))&
((?[X]:((funny(X)<~>creative(X))))<=>(?[X]:((~kind(X)<~>rich(X)))))&
(((brave(mary)<~>~creative(mary)))=>((~tall(alice)&tall(alice))))&
((?[X]:((~strong(X)&~humble... | ~tall(lucy) | [
"p1",
"p7",
"p10",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5544223523629718694266418
% SZS output start Proof for 5544223523629718694266418
2. ! [X0] : ((wise(X0) | creative(X0)) <=> (~curious(X0) & ~generous(X0))) [input p1]
8. ! [X0] : ((~wise(X0) & ~calm(X0)) => (~quiet(X0) & funny(X0))) [input p7]
11. ! [X0] : (calm(X0) <=> funny(X0)) [input ... | 0 |
If someone is old or funny then mary is either not quiet or not wise and vice versa. Everyone who is either not strong or not tall is curious. If someone is not wise then someone is either not kind or quiet. Everyone who is both not patient and not humble is quiet. Everyone who is not kind is rich. Everyone who is eith... | Mary is wise. | contradiction | ((?[X]:((old(X)|funny(X))))<=>((~quiet(mary)<~>~wise(mary))))&
(![X]:((~strong(X)<~>~tall(X))=>curious(X)))&
((?[X]:(~wise(X)))=>(?[X]:((~kind(X)<~>quiet(X)))))&
(![X]:((~patient(X)&~humble(X))=>quiet(X)))&
(![X]:(~kind(X)=>rich(X)))&
(![X]:((~patient(X)<~>~strong(X))<=>(~wise(X)<~>~curious(X))))&
(((calm(paul)&~creati... | wise(mary) | [
"p3",
"p5",
"p8",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 739324893111139493872991
% SZS output start Proof for 739324893111139493872991
4. ! [X0] : ((~humble(X0) & ~patient(X0)) => quiet(X0)) [input p3]
6. ! [X0] : ((~patient(X0) <~> ~strong(X0)) <=> (~wise(X0) <~> ~curious(X0))) [input p5]
9. ! [X0] : ((~curious(X0) | tall(X0)) <=> tall(X0)) [... | 0 |
If fred is either happy or not tall then john is either not creative or not old and vice versa. Everyone who is not patient is both not quiet and strong and vice versa. If someone is not old then john is either not brave or calm. If someone is both not brave and not happy then someone is either not creative or curious ... | Mary is not old. | contradiction | (((happy(fred)<~>~tall(fred)))<=>((~creative(john)<~>~old(john))))&
(![X]:(~patient(X)<=>(~quiet(X)&strong(X))))&
((?[X]:(~old(X)))=>((~brave(john)<~>calm(john))))&
((?[X]:((~brave(X)&~happy(X))))<=>(?[X]:((~creative(X)<~>curious(X)))))&
(((~old(paul)|~patient(paul)))=>((~wise(alice)<~>funny(alice))))&
((?[X]:(tall(X))... | ~old(mary) | [
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7765295597118781395830919
% SZS output start Proof for 7765295597118781395830919
3. ? [X0] : ~old(X0) => (~brave(john) <~> calm(john)) [input p2]
8. ! [X0] : ((~calm(X0) <~> ~funny(X0)) <=> ~brave(X0)) [input p7]
9. ! [X0] : ((~old(X0) <~> ~funny(X0)) <=> old(X0)) [input p8]
22. ~old(mary... | 0 |
Everyone who is either patient or not patient is either not tall or not brave. If someone is tall then fred is either not tall or brave. Everyone who is both not strong and funny is either not kind or not wise and vice versa. If mary is not funny or brave then paul is not curious and vice versa. Everyone who is kind is... | Mary is humble. | contradiction | (![X]:((patient(X)<~>~patient(X))=>(~tall(X)<~>~brave(X))))&
((?[X]:(tall(X)))=>((~tall(fred)<~>brave(fred))))&
(![X]:((~strong(X)&funny(X))<=>(~kind(X)<~>~wise(X))))&
(((~funny(mary)|brave(mary)))<=>(~curious(paul)))&
(![X]:(kind(X)=>~patient(X)))&
(![X]:((brave(X)|~generous(X))=>(~humble(X)&kind(X))))&
((creative(luc... | humble(mary) | [
"p0",
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5832807597623296582623881
% SZS output start Proof for 5832807597623296582623881
1. ! [X0] : ((patient(X0) <~> ~patient(X0)) => (~tall(X0) <~> ~brave(X0))) [input p0]
2. ? [X0] : tall(X0) => (~tall(fred) <~> brave(fred)) [input p1]
6. ! [X0] : ((~generous(X0) | brave(X0)) => (kind(X0) & ~... | 0 |
Everyone who is either kind or not kind is old.
If mary is not humble then john is not quiet or not curious.
If susan is either not quiet or not rich then alice is either brave or not strong.
If someone is either not calm or not patient then someone is calm or rich and vice versa.
Everyone who is not wise or not kind i... | Alice is not wise. | entailment | (![X]:((kind(X)<~>~kind(X))=>old(X)))&
((~humble(mary))=>((~quiet(john)|~curious(john))))&
(((~quiet(susan)<~>~rich(susan)))=>((brave(alice)<~>~strong(alice))))&
((?[X]:((~calm(X)<~>~patient(X))))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~wise(X)|~kind(X))<=>tall(X)))&
(![X]:(~quiet(X)=>(~generous(X)<~>~quiet(X))))&
(((~... | ~wise(alice) | [
"p0",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7649306407119764679249704
% SZS output start Proof for 7649306407119764679249704
1. ! [X0] : ((kind(X0) <~> ~kind(X0)) => old(X0)) [input p0]
6. ! [X0] : (~quiet(X0) => (~generous(X0) <~> ~quiet(X0))) [input p5]
10. ! [X0] : (~old(X0) <=> (old(X0) <~> ~quiet(X0))) [input p9]
11. ! [X0] : ... | 0 |
If paul is strong then someone is wise and vice versa.
If alice is either not rich or not funny then someone is wise and vice versa.
Everyone who is both not generous and not funny is both wise and humble.
If someone is not rich then alice is wise and vice versa.
If someone is either rich or quiet then fred is both wis... | Fred is not kind. | neutral | ((strong(paul))<=>(?[X]:(wise(X))))&
(((~rich(alice)<~>~funny(alice)))<=>(?[X]:(wise(X))))&
(![X]:((~generous(X)&~funny(X))=>(wise(X)&humble(X))))&
((?[X]:(~rich(X)))<=>(wise(alice)))&
((?[X]:((rich(X)<~>quiet(X))))=>((wise(fred)&~patient(fred))))&
(![X]:((~old(X)<~>~wise(X))=>(old(X)<~>strong(X))))&
((?[X]:((patient(X... | ~kind(fred) | [] | null | 0 |
Everyone who is either not quiet or not creative is wise or generous.
Everyone who is both rich and happy is either happy or not happy.
Everyone who is not old is both not curious and old and vice versa.
Everyone who is patient is either kind or curious.
If someone is both strong and not kind then lucy is either not cr... | Fred is not creative. | entailment | (![X]:((~quiet(X)<~>~creative(X))=>(wise(X)|generous(X))))&
(![X]:((rich(X)&happy(X))=>(happy(X)<~>~happy(X))))&
(![X]:(~old(X)<=>(~curious(X)&old(X))))&
(![X]:(patient(X)=>(kind(X)<~>curious(X))))&
((?[X]:((strong(X)&~kind(X))))<=>((~creative(lucy)<~>quiet(lucy))))&
(![X]:((generous(X)&strong(X))<=>(creative(X)|wise(X... | ~creative(fred) | [
"p2",
"p4",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8729578872949963793898569
% SZS output start Proof for 8729578872949963793898569
3. ! [X0] : (~old(X0) <=> (old(X0) & ~curious(X0))) [input p2]
5. ? [X0] : (~kind(X0) & strong(X0)) <=> (~creative(lucy) <~> quiet(lucy)) [input p4]
6. ! [X0] : ((strong(X0) & generous(X0)) <=> (wise(X0) | cr... | 0 |
Everyone who is not happy or not curious is both patient and old and vice versa.
Everyone who is not generous or not quiet is not brave or happy and vice versa.
Everyone who is both funny and not quiet is not funny.
Everyone who is creative is either not brave or not creative and vice versa.
Everyone who is not calm is... | John is not wise. | contradiction | (![X]:((~happy(X)|~curious(X))<=>(patient(X)&old(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(~brave(X)|happy(X))))&
(![X]:((funny(X)&~quiet(X))=>~funny(X)))&
(![X]:(creative(X)<=>(~brave(X)<~>~creative(X))))&
(![X]:(~calm(X)=>(curious(X)<~>~quiet(X))))&
(![X]:((calm(X)&funny(X))<=>(~strong(X)&creative(X))))&
((old(lucy))... | ~wise(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 359063839698609613276929
% SZS output start Proof for 359063839698609613276929
8. ! [X0] : ((old(X0) & ~old(X0)) <=> ~wise(X0)) [input p7]
24. ~wise(john) [input hypothesis]
26. ! [X0] : (~wise(X0) => (old(X0) & ~old(X0))) [unused predicate definition removal 8]
30. ! [X0] : ((old(X0) & ~... | 0 |
Everyone who is not old is tall and vice versa.
Everyone who is either curious or not strong is both kind and strong and vice versa.
Everyone who is rich or patient is not curious.
Everyone who is both generous and not rich is both wise and brave and vice versa.
If mary is not rich then paul is happy and vice versa.
Ev... | Fred is patient. | neutral | (![X]:(~old(X)<=>tall(X)))&
(![X]:((curious(X)<~>~strong(X))<=>(kind(X)&strong(X))))&
(![X]:((rich(X)|patient(X))=>~curious(X)))&
(![X]:((generous(X)&~rich(X))<=>(wise(X)&brave(X))))&
((~rich(mary))<=>(happy(paul)))&
(![X]:((~old(X)|~patient(X))<=>(calm(X)|kind(X))))&
((?[X]:((~happy(X)<~>generous(X))))=>((~rich(susan)... | patient(fred) | [] | null | 0 |
Everyone who is either not strong or not curious is not calm and vice versa.
Everyone who is not generous is rich and vice versa.
If susan is either not wise or not kind then lucy is both brave and rich.
If susan is either generous or not strong then fred is not tall or happy and vice versa.
Everyone who is not generou... | Lucy is humble. | entailment | (![X]:((~strong(X)<~>~curious(X))<=>~calm(X)))&
(![X]:(~generous(X)<=>rich(X)))&
(((~wise(susan)<~>~kind(susan)))=>((brave(lucy)&rich(lucy))))&
(((generous(susan)<~>~strong(susan)))<=>((~tall(fred)|happy(fred))))&
(![X]:(~generous(X)=>calm(X)))&
((?[X]:((generous(X)<~>rich(X))))<=>(?[X]:((~funny(X)<~>~humble(X)))))&
(!... | humble(lucy) | [
"p1",
"p4",
"p6",
"p8",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7369216845065421957115415
% SZS output start Proof for 7369216845065421957115415
2. ! [X0] : (~generous(X0) <=> rich(X0)) [input p1]
5. ! [X0] : (~generous(X0) => calm(X0)) [input p4]
7. ! [X0] : ((rich(X0) <~> ~curious(X0)) => (generous(X0) & ~patient(X0))) [input p6]
9. ! [X0] : ((~rich... | 0 |
Everyone who is creative is both creative and curious.
Everyone who is either strong or not funny is not quiet or not humble.
If someone is not quiet then alice is kind or calm and vice versa.
Everyone who is creative is either calm or creative and vice versa.
Everyone who is not calm is both old and wise.
If someone i... | Alice is not funny. | entailment | (![X]:(creative(X)=>(creative(X)&curious(X))))&
(![X]:((strong(X)<~>~funny(X))=>(~quiet(X)|~humble(X))))&
((?[X]:(~quiet(X)))<=>((kind(alice)|calm(alice))))&
(![X]:(creative(X)<=>(calm(X)<~>creative(X))))&
(![X]:(~calm(X)=>(old(X)&wise(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~wise(... | ~funny(alice) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2477286788461203780214208
% SZS output start Proof for 2477286788461203780214208
1. ! [X0] : (creative(X0) => (curious(X0) & creative(X0))) [input p0]
4. ! [X0] : (creative(X0) <=> (calm(X0) <~> creative(X0))) [input p3]
5. ! [X0] : (~calm(X0) => (wise(X0) & old(X0))) [input p4]
6. ? [X0]... | 0 |
Everyone who is either not brave or not calm is brave and vice versa.
If someone is either not brave or kind then someone is not tall.
If someone is not funny or patient then susan is rich or creative and vice versa.
If someone is not creative then john is both old and not funny and vice versa.
If john is brave then jo... | Paul is not rich. | neutral | (![X]:((~brave(X)<~>~calm(X))<=>brave(X)))&
((?[X]:((~brave(X)<~>kind(X))))=>(?[X]:(~tall(X))))&
((?[X]:((~funny(X)|patient(X))))<=>((rich(susan)|creative(susan))))&
((?[X]:(~creative(X)))<=>((old(john)&~funny(john))))&
((brave(john))=>(~quiet(john)))&
((?[X]:(~calm(X)))<=>((~funny(john)<~>~brave(john))))&
(((wise(mary... | ~rich(paul) | [] | null | 0 |
If paul is both not creative and kind then susan is both happy and not tall.
Everyone who is not quiet or old is not patient or calm and vice versa.
If someone is not creative then paul is old and vice versa.
If susan is either generous or not quiet then lucy is not rich.
Everyone who is wise is creative or happy and v... | Mary is not curious. | neutral | (((~creative(paul)&kind(paul)))=>((happy(susan)&~tall(susan))))&
(![X]:((~quiet(X)|old(X))<=>(~patient(X)|calm(X))))&
((?[X]:(~creative(X)))<=>(old(paul)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~c... | ~curious(mary) | [] | null | 0 |
If paul is both not creative and rich then someone is old or happy and vice versa.
If someone is both tall and not strong then someone is either calm or not patient.
If someone is both not creative and not wise then someone is both humble and not wise and vice versa.
Everyone who is tall or not brave is not happy and v... | John is curious. | contradiction | (((~creative(paul)&rich(paul)))<=>(?[X]:((old(X)|happy(X)))))&
((?[X]:((tall(X)&~strong(X))))=>(?[X]:((calm(X)<~>~patient(X)))))&
((?[X]:((~creative(X)&~wise(X))))<=>(?[X]:((humble(X)&~wise(X)))))&
(![X]:((tall(X)|~brave(X))<=>~happy(X)))&
(![X]:((generous(X)<~>creative(X))<=>(wise(X)<~>~curious(X))))&
((?[X]:(strong(X... | curious(john) | [
"p6",
"p12",
"p13",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 972369412632799705501515
% SZS output start Proof for 972369412632799705501515
7. (~rich(john) & ~kind(john)) <=> ? [X0] : patient(X0) [input p6]
13. ! [X0] : ((curious(X0) | humble(X0)) <=> (rich(X0) | ~old(X0))) [input p12]
14. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> (quiet(X0) <... | 0 |
Everyone who is not old or brave is wise or not old and vice versa. Everyone who is either not curious or curious is not strong and vice versa. If mary is not tall or not creative then paul is wise or not funny and vice versa. Everyone who is either curious or humble is both rich and not rich. Everyone who is both wise... | Mary is calm. | contradiction | (![X]:((~old(X)|brave(X))<=>(wise(X)|~old(X))))&
(![X]:((~curious(X)<~>curious(X))<=>~strong(X)))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~patient(X)<~>~old(X))))&
((?[X]:(~curious(X)))=>(?[X]:(kind(X))))&
((?[... | calm(mary) | [
"p0",
"p1",
"p7",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3935416545319253417941463
% SZS output start Proof for 3935416545319253417941463
1. ! [X0] : ((brave(X0) | ~old(X0)) <=> (~old(X0) | wise(X0))) [input p0]
2. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> ~strong(X0)) [input p1]
8. ! [X0] : (creative(X0) <=> (~strong(X0) & patient(X0))) [in... | 0 |
If lucy is not funny or not wise then john is either not calm or wise and vice versa.
Everyone who is either strong or not old is both patient and not brave and vice versa.
If paul is either not brave or not generous then someone is either quiet or not humble and vice versa.
Everyone who is both quiet and not kind is n... | John is not old. | neutral | (((~funny(lucy)|~wise(lucy)))<=>((~calm(john)<~>wise(john))))&
(![X]:((strong(X)<~>~old(X))<=>(patient(X)&~brave(X))))&
(((~brave(paul)<~>~generous(paul)))<=>(?[X]:((quiet(X)<~>~humble(X)))))&
(![X]:((quiet(X)&~kind(X))<=>(~creative(X)|funny(X))))&
(![X]:((humble(X)<~>~happy(X))=>(calm(X)<~>brave(X))))&
(![X]:((wise(X)... | ~old(john) | [] | null | 0 |
Everyone who is both brave and not calm is both not old and curious and vice versa.
Everyone who is both not quiet and patient is both rich and brave and vice versa.
Everyone who is not old or humble is not kind and vice versa.
Everyone who is not calm or humble is not creative or strong and vice versa.
If fred is both... | Susan is creative. | neutral | (![X]:((brave(X)&~calm(X))<=>(~old(X)&curious(X))))&
(![X]:((~quiet(X)&patient(X))<=>(rich(X)&brave(X))))&
(![X]:((~old(X)|humble(X))<=>~kind(X)))&
(![X]:((~calm(X)|humble(X))<=>(~creative(X)|strong(X))))&
(((happy(fred)&patient(fred)))<=>(?[X]:((humble(X)|~wise(X)))))&
(((humble(john)<~>happy(john)))=>((~brave(susan)&... | creative(susan) | [] | null | 0 |
If someone is both not brave and strong then someone is either kind or curious.
Everyone who is both not kind and not wise is either tall or not rich.
Everyone who is both brave and creative is either not curious or creative and vice versa.
Everyone who is both not calm and not rich is not funny.
Everyone who is either... | Susan is not funny. | neutral | ((?[X]:((~brave(X)&strong(X))))=>(?[X]:((kind(X)<~>curious(X)))))&
(![X]:((~kind(X)&~wise(X))=>(tall(X)<~>~rich(X))))&
(![X]:((brave(X)&creative(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~calm(X)&~rich(X))=>~funny(X)))&
(![X]:((brave(X)<~>patient(X))=>humble(X)))&
(((~rich(mary)|quiet(mary)))=>(?[X]:((rich(X)<~>~bra... | ~funny(susan) | [] | null | 0 |
If someone is not generous or not funny then someone is quiet or happy and vice versa.
Everyone who is not happy or funny is calm or old.
Everyone who is not humble is old or not strong and vice versa.
If john is creative then someone is both not funny and calm and vice versa.
If someone is funny then someone is both c... | Susan is not strong. | entailment | ((?[X]:((~generous(X)|~funny(X))))<=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:((~happy(X)|funny(X))=>(calm(X)|old(X))))&
(![X]:(~humble(X)<=>(old(X)|~strong(X))))&
((creative(john))<=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((creative(X)&~quiet(X)))))&
(![X]:(~rich(X)=>(rich(X)|~rich(X))))&
(![X]:((~brave... | ~strong(susan) | [
"p2",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2921549795804815776862053
% SZS output start Proof for 2921549795804815776862053
3. ! [X0] : (~humble(X0) <=> (~strong(X0) | old(X0))) [input p2]
8. ! [X0] : ((old(X0) | tall(X0)) <=> (quiet(X0) & humble(X0))) [input p7]
14. ! [X0] : ((~strong(X0) & humble(X0)) <=> humble(X0)) [input p13]... | 0 |
Everyone who is humble or not old is either not funny or quiet.
Everyone who is both not old and humble is not kind and vice versa.
If someone is both patient and not brave then paul is funny or kind.
Everyone who is tall is not generous.
Everyone who is not curious is humble.
Everyone who is funny is either wise or ge... | Paul is happy. | entailment | (![X]:((humble(X)|~old(X))=>(~funny(X)<~>quiet(X))))&
(![X]:((~old(X)&humble(X))<=>~kind(X)))&
((?[X]:((patient(X)&~brave(X))))=>((funny(paul)|kind(paul))))&
(![X]:(tall(X)=>~generous(X)))&
(![X]:(~curious(X)=>humble(X)))&
(![X]:(funny(X)<=>(wise(X)<~>generous(X))))&
((?[X]:((funny(X)|~patient(X))))<=>(?[X]:((~creative... | happy(paul) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1320233925321600590651675
% SZS output start Proof for 1320233925321600590651675
24. happy(paul) & ~old(paul) [input p23]
25. ~happy(paul) [input hypothesis]
134. happy(paul) [cnf transformation 24]
135. ~happy(paul) [cnf transformation 25]
261. $false [subsumption resolution 135,134]
% S... | 0 |
If someone is either kind or not creative then susan is both generous and not rich.
Everyone who is both not tall and funny is not tall or happy.
Everyone who is generous or not patient is both not brave and old.
Everyone who is either not funny or not brave is not brave or wise and vice versa.
Everyone who is funny is... | Lucy is not kind. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((~tall(X)&funny(X))=>(~tall(X)|happy(X))))&
(![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(X))))&
(![X]:(funny(X)<=>(rich(X)|~tall(X))))&
(![X]:(wise(X)<=>~strong(X)))&
(![X]:((strong(... | ~kind(lucy) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p9",
"p10",
"p11",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3663084227950111737822990
% SZS output start Proof for 3663084227950111737822990
1. ? [X0] : (kind(X0) <~> ~creative(X0)) => (~rich(susan) & generous(susan)) [input p0]
3. ! [X0] : ((~patient(X0) | generous(X0)) => (old(X0) & ~brave(X0))) [input p2]
5. ! [X0] : (funny(X0) <=> (~tall(X0) |... | 0 |
If someone is not kind then someone is either not humble or tall.
If john is kind then someone is either happy or calm and vice versa.
Everyone who is not creative or brave is calm.
If john is old or quiet then mary is not wise or creative.
Everyone who is tall or generous is either not humble or not funny and vice ver... | Fred is not funny. | entailment | ((?[X]:(~kind(X)))=>(?[X]:((~humble(X)<~>tall(X)))))&
((kind(john))<=>(?[X]:((happy(X)<~>calm(X)))))&
(![X]:((~creative(X)|brave(X))=>calm(X)))&
(((old(john)|quiet(john)))=>((~wise(mary)|creative(mary))))&
(![X]:((tall(X)|generous(X))<=>(~humble(X)<~>~funny(X))))&
(![X]:((~brave(X)|generous(X))=>~brave(X)))&
(![X]:((~c... | ~funny(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3845054336967522673429219
% SZS output start Proof for 3845054336967522673429219
8. ! [X0] : (patient(X0) <=> (~funny(X0) | ~patient(X0))) [input p7]
23. funny(fred) [input hypothesis]
49. ! [X0] : ((patient(X0) | (funny(X0) & patient(X0))) & ((~funny(X0) | ~patient(X0)) | ~patient(X0))) ... | 0 |
Everyone who is not curious is generous.
Everyone who is not curious is not funny or not creative and vice versa.
Everyone who is curious is either happy or not patient and vice versa.
If someone is kind or creative then lucy is both humble and not happy.
Everyone who is both creative and not creative is not generous o... | Lucy is creative. | entailment | (![X]:(~curious(X)=>generous(X)))&
(![X]:(~curious(X)<=>(~funny(X)|~creative(X))))&
(![X]:(curious(X)<=>(happy(X)<~>~patient(X))))&
((?[X]:((kind(X)|creative(X))))=>((humble(lucy)&~happy(lucy))))&
(![X]:((creative(X)&~creative(X))<=>(~generous(X)|~quiet(X))))&
(![X]:((~curious(X)&kind(X))=>(~happy(X)&~strong(X))))&
(((... | creative(lucy) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3677058156704202211884353
% SZS output start Proof for 3677058156704202211884353
5. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~quiet(X0) | ~generous(X0))) [input p4]
13. ? [X0] : (~quiet(X0) | ~creative(X0)) => ~generous(john) [input p12]
23. ~creative(lucy) [input hypothesis]
36. ~ge... | 0 |
Everyone who is not wise is both rich and calm and vice versa.
Everyone who is either not wise or not tall is both not kind and not strong.
Everyone who is not calm is both kind and not humble and vice versa.
Everyone who is both not curious and not patient is either not strong or wise.
Everyone who is not generous is ... | Alice is strong. | entailment | (![X]:(~wise(X)<=>(rich(X)&calm(X))))&
(![X]:((~wise(X)<~>~tall(X))=>(~kind(X)&~strong(X))))&
(![X]:(~calm(X)<=>(kind(X)&~humble(X))))&
(![X]:((~curious(X)&~patient(X))=>(~strong(X)<~>wise(X))))&
(![X]:(~generous(X)<=>(curious(X)|~quiet(X))))&
(![X]:((~old(X)|wise(X))=>(creative(X)&~patient(X))))&
(((~funny(fred)<~>qui... | strong(alice) | [
"p3",
"p5",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 839760683719434654664500
% SZS output start Proof for 839760683719434654664500
4. ! [X0] : ((~patient(X0) & ~curious(X0)) => (~strong(X0) <~> wise(X0))) [input p3]
6. ! [X0] : ((wise(X0) | ~old(X0)) => (~patient(X0) & creative(X0))) [input p5]
15. ! [X0] : ((tall(X0) | ~curious(X0)) <=> (... | 0 |
Everyone who is tall is both rich and calm and vice versa. If someone is not humble or rich then paul is both wise and not quiet and vice versa. Everyone who is rich or not brave is both calm and happy and vice versa. If someone is not strong or curious then someone is either not tall or curious and vice versa. If alic... | Lucy is not curious. | entailment | (![X]:(tall(X)<=>(rich(X)&calm(X))))&
((?[X]:((~humble(X)|rich(X))))<=>((wise(paul)&~quiet(paul))))&
(![X]:((rich(X)|~brave(X))<=>(calm(X)&happy(X))))&
((?[X]:((~strong(X)|curious(X))))<=>(?[X]:((~tall(X)<~>curious(X)))))&
(((~kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)<~>tall(X)))))&
(((~curious(fred)&~quiet(fred)))=... | ~curious(lucy) | [
"p2",
"p8",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5092339999888972697732565
% SZS output start Proof for 5092339999888972697732565
3. ! [X0] : ((~brave(X0) | rich(X0)) <=> (happy(X0) & calm(X0))) [input p2]
9. ! [X0] : ((brave(X0) & ~happy(X0)) => (kind(X0) & happy(X0))) [input p8]
11. ! [X0] : (funny(X0) <=> (~curious(X0) <~> happy(X0))... | 0 |
Everyone who is not old is tall and vice versa.
If susan is tall or funny then someone is both not brave and calm and vice versa.
Everyone who is not tall or kind is either not old or not rich and vice versa.
If someone is either not calm or generous then paul is either not kind or not calm and vice versa.
Everyone who... | Alice is not strong. | entailment | (![X]:(~old(X)<=>tall(X)))&
(((tall(susan)|funny(susan)))<=>(?[X]:((~brave(X)&calm(X)))))&
(![X]:((~tall(X)|kind(X))<=>(~old(X)<~>~rich(X))))&
((?[X]:((~calm(X)<~>generous(X))))<=>((~kind(paul)<~>~calm(paul))))&
(![X]:((rich(X)|~happy(X))=>~rich(X)))&
((?[X]:((~quiet(X)&~humble(X))))=>((~patient(fred)|tall(fred))))&
((... | ~strong(alice) | [
"p4",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4570528404346929466951882
% SZS output start Proof for 4570528404346929466951882
5. ! [X0] : ((~happy(X0) | rich(X0)) => ~rich(X0)) [input p4]
8. ! [X0] : ((~creative(X0) | humble(X0)) <=> (~rich(X0) <~> strong(X0))) [input p7]
18. strong(alice) <~> ~humble(alice) [input p17]
25. strong(a... | 0 |
If paul is both patient and humble then someone is both not wise and rich.
Everyone who is not curious is either humble or creative.
If susan is rich then someone is not kind.
Everyone who is kind or not old is tall or not curious and vice versa.
Everyone who is generous or not brave is either generous or not creative ... | John is not happy. | neutral | (((patient(paul)&humble(paul)))=>(?[X]:((~wise(X)&rich(X)))))&
(![X]:(~curious(X)=>(humble(X)<~>creative(X))))&
((rich(susan))=>(?[X]:(~kind(X))))&
(![X]:((kind(X)|~old(X))<=>(tall(X)|~curious(X))))&
(![X]:((generous(X)|~brave(X))<=>(generous(X)<~>~creative(X))))&
(![X]:((~creative(X)|~curious(X))<=>(~patient(X)<~>happ... | ~happy(john) | [] | null | 0 |
Everyone who is not old is not rich or rich and vice versa.
Everyone who is both wise and brave is strong or not curious.
Everyone who is wise or not calm is not patient and vice versa.
Everyone who is tall is either rich or not funny and vice versa.
If someone is both old and not curious then someone is tall or funny ... | Mary is not calm. | contradiction | (![X]:(~old(X)<=>(~rich(X)|rich(X))))&
(![X]:((wise(X)&brave(X))=>(strong(X)|~curious(X))))&
(![X]:((wise(X)|~calm(X))<=>~patient(X)))&
(![X]:(tall(X)<=>(rich(X)<~>~funny(X))))&
((?[X]:((old(X)&~curious(X))))<=>(?[X]:((tall(X)|funny(X)))))&
((?[X]:((brave(X)|wise(X))))<=>(?[X]:((kind(X)<~>humble(X)))))&
((?[X]:(~rich(X... | ~calm(mary) | [
"p0",
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2659754376430795011216207
% SZS output start Proof for 2659754376430795011216207
1. ! [X0] : (~old(X0) <=> (rich(X0) | ~rich(X0))) [input p0]
4. ! [X0] : (tall(X0) <=> (rich(X0) <~> ~funny(X0))) [input p3]
5. ? [X0] : (~curious(X0) & old(X0)) <=> ? [X0] : (funny(X0) | tall(X0)) [input p4]... | 0 |
Everyone who is either not funny or rich is not humble and vice versa. Everyone who is happy or funny is not wise and vice versa. Everyone who is funny is both quiet and generous. Everyone who is not happy is both quiet and not tall. If someone is either not rich or patient then paul is both not wise and creative. Ever... | Mary is not patient. | entailment | (![X]:((~funny(X)<~>rich(X))<=>~humble(X)))&
(![X]:((happy(X)|funny(X))<=>~wise(X)))&
(![X]:(funny(X)=>(quiet(X)&generous(X))))&
(![X]:(~happy(X)=>(quiet(X)&~tall(X))))&
((?[X]:((~rich(X)<~>patient(X))))=>((~wise(paul)&creative(paul))))&
(![X]:((generous(X)|~brave(X))<=>(~curious(X)&calm(X))))&
((?[X]:((~kind(X)&~humbl... | ~patient(mary) | [
"p1",
"p3",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3676119904584173062471673
% SZS output start Proof for 3676119904584173062471673
2. ! [X0] : ((funny(X0) | happy(X0)) <=> ~wise(X0)) [input p1]
4. ! [X0] : (~happy(X0) => (~tall(X0) & quiet(X0))) [input p3]
7. ? [X0] : (~humble(X0) & ~kind(X0)) <=> ? [X0] : ~brave(X0) [input p6]
8. ? [X0]... | 0 |
Everyone who is creative or patient is both not rich and tall and vice versa. Everyone who is funny or strong is either patient or quiet and vice versa. If lucy is not curious then someone is either happy or creative. If someone is old or not kind then alice is not happy and vice versa. Everyone who is both not old and... | Susan is curious. | neutral | (![X]:((creative(X)|patient(X))<=>(~rich(X)&tall(X))))&
(![X]:((funny(X)|strong(X))<=>(patient(X)<~>quiet(X))))&
((~curious(lucy))=>(?[X]:((happy(X)<~>creative(X)))))&
((?[X]:((old(X)|~kind(X))))<=>(~happy(alice)))&
(![X]:((~old(X)&wise(X))=>(generous(X)|funny(X))))&
(![X]:((happy(X)&rich(X))=>(~kind(X)<~>~curious(X)))... | curious(susan) | [] | null | 0 |
Everyone who is either not strong or rich is both not strong and kind.
If someone is not wise then john is calm and vice versa.
Everyone who is both brave and not curious is generous.
Everyone who is not curious or strong is old or not quiet and vice versa.
Everyone who is creative or not tall is old or funny.
If john ... | Fred is not generous. | neutral | (![X]:((~strong(X)<~>rich(X))=>(~strong(X)&kind(X))))&
((?[X]:(~wise(X)))<=>(calm(john)))&
(![X]:((brave(X)&~curious(X))=>generous(X)))&
(![X]:((~curious(X)|strong(X))<=>(old(X)|~quiet(X))))&
(![X]:((creative(X)|~tall(X))=>(old(X)|funny(X))))&
(((~quiet(john)|~strong(john)))=>(~creative(paul)))&
((?[X]:((~humble(X)<~>c... | ~generous(fred) | [] | null | 0 |
Everyone who is both not tall and not funny is quiet or not old and vice versa.
If someone is not old then someone is either kind or not wise.
If someone is funny or tall then someone is humble and vice versa.
Everyone who is calm or not calm is both brave and not quiet and vice versa.
Everyone who is not curious or ki... | Mary is kind. | contradiction | (![X]:((~tall(X)&~funny(X))<=>(quiet(X)|~old(X))))&
((?[X]:(~old(X)))=>(?[X]:((kind(X)<~>~wise(X)))))&
((?[X]:((funny(X)|tall(X))))<=>(?[X]:(humble(X))))&
(![X]:((calm(X)|~calm(X))<=>(brave(X)&~quiet(X))))&
(![X]:((~curious(X)|kind(X))=>(happy(X)<~>humble(X))))&
(![X]:((~curious(X)&strong(X))<=>(~funny(X)<~>wise(X))))&... | kind(mary) | [
"p3",
"p4",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 202109421187832433256934
% SZS output start Proof for 202109421187832433256934
4. ! [X0] : ((~calm(X0) | calm(X0)) <=> (~quiet(X0) & brave(X0))) [input p3]
5. ! [X0] : ((kind(X0) | ~curious(X0)) => (happy(X0) <~> humble(X0))) [input p4]
8. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> (~humble(... | 0 |
Everyone who is not happy or kind is both happy and humble.
Everyone who is strong or not quiet is not happy or not rich.
If someone is generous then mary is either not happy or rich and vice versa.
If john is not brave or not happy then someone is patient or not tall and vice versa.
Everyone who is kind or generous is... | Susan is not quiet. | contradiction | (![X]:((~happy(X)|kind(X))=>(happy(X)&humble(X))))&
(![X]:((strong(X)|~quiet(X))=>(~happy(X)|~rich(X))))&
((?[X]:(generous(X)))<=>((~happy(mary)<~>rich(mary))))&
(((~brave(john)|~happy(john)))<=>(?[X]:((patient(X)|~tall(X)))))&
(![X]:((kind(X)|generous(X))=>(rich(X)&~calm(X))))&
(![X]:(funny(X)=>(calm(X)<~>~rich(X))))&... | ~quiet(susan) | [
"p0",
"p1",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1614951456826435103819953
% SZS output start Proof for 1614951456826435103819953
1. ! [X0] : ((kind(X0) | ~happy(X0)) => (humble(X0) & happy(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | strong(X0)) => (~rich(X0) | ~happy(X0))) [input p1]
5. ! [X0] : ((generous(X0) | kind(X0)) => (~calm(X0)... | 0 |
If someone is brave then someone is either calm or rich and vice versa.
If john is not old then alice is both not strong and quiet and vice versa.
Everyone who is not old or old is kind or not curious.
If someone is either not wise or tall then fred is either not happy or brave and vice versa.
Everyone who is either fu... | Mary is rich. | entailment | ((?[X]:(brave(X)))<=>(?[X]:((calm(X)<~>rich(X)))))&
((~old(john))<=>((~strong(alice)&quiet(alice))))&
(![X]:((~old(X)|old(X))=>(kind(X)|~curious(X))))&
((?[X]:((~wise(X)<~>tall(X))))<=>((~happy(fred)<~>brave(fred))))&
(![X]:((funny(X)<~>patient(X))<=>(~tall(X)|curious(X))))&
((?[X]:((wise(X)|strong(X))))=>(?[X]:((funny... | rich(mary) | [
"p4",
"p7",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 923410455217358969313597
% SZS output start Proof for 923410455217358969313597
5. ! [X0] : ((funny(X0) <~> patient(X0)) <=> (curious(X0) | ~tall(X0))) [input p4]
8. ! [X0] : ((~rich(X0) | generous(X0)) <=> (rich(X0) | ~quiet(X0))) [input p7]
13. ! [X0] : (quiet(X0) <=> (funny(X0) | ~curio... | 0 |
If alice is either old or quiet then someone is both not happy and tall.
If someone is not rich then someone is not creative and vice versa.
Everyone who is happy or not patient is both curious and strong.
Everyone who is strong is not creative and vice versa.
Everyone who is both quiet and not generous is either not b... | Alice is not quiet. | contradiction | (((old(alice)<~>quiet(alice)))=>(?[X]:((~happy(X)&tall(X)))))&
((?[X]:(~rich(X)))<=>(?[X]:(~creative(X))))&
(![X]:((happy(X)|~patient(X))=>(curious(X)&strong(X))))&
(![X]:(strong(X)<=>~creative(X)))&
(![X]:((quiet(X)&~generous(X))<=>(~brave(X)<~>~tall(X))))&
(![X]:((creative(X)<~>tall(X))<=>(~rich(X)&creative(X))))&
(!... | ~quiet(alice) | [
"p0",
"p2",
"p3",
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6026624506172400711347260
% SZS output start Proof for 6026624506172400711347260
1. (old(alice) <~> quiet(alice)) => ? [X0] : (tall(X0) & ~happy(X0)) [input p0]
3. ! [X0] : ((~patient(X0) | happy(X0)) => (strong(X0) & curious(X0))) [input p2]
4. ! [X0] : (strong(X0) <=> ~creative(X0)) [in... | 0 |
Everyone who is not funny or tall is strong and vice versa.
Everyone who is either funny or not old is generous.
If lucy is both rich and funny then john is not tall and vice versa.
If someone is both not strong and kind then someone is happy and vice versa.
If john is both happy and not old then someone is either brav... | Alice is kind. | contradiction | (![X]:((~funny(X)|tall(X))<=>strong(X)))&
(![X]:((funny(X)<~>~old(X))=>generous(X)))&
(((rich(lucy)&funny(lucy)))<=>(~tall(john)))&
((?[X]:((~strong(X)&kind(X))))<=>(?[X]:(happy(X))))&
(((happy(john)&~old(john)))=>(?[X]:((brave(X)<~>~tall(X)))))&
(![X]:(~humble(X)=>(generous(X)|kind(X))))&
((creative(mary))<=>(?[X]:((h... | kind(alice) | [
"p0",
"p1",
"p3",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2811505018750194628208954
% SZS output start Proof for 2811505018750194628208954
1. ! [X0] : ((tall(X0) | ~funny(X0)) <=> strong(X0)) [input p0]
2. ! [X0] : ((funny(X0) <~> ~old(X0)) => generous(X0)) [input p1]
4. ? [X0] : (kind(X0) & ~strong(X0)) <=> ? [X0] : happy(X0) [input p3]
8. ! [X... | 0 |
Everyone who is not tall is happy and vice versa.
If someone is not wise or not tall then someone is not creative or happy.
Everyone who is not tall is quiet and vice versa.
If lucy is not funny then paul is both happy and brave and vice versa.
Everyone who is both not patient and not humble is not wise and vice versa.... | Paul is not kind. | entailment | (![X]:(~tall(X)<=>happy(X)))&
((?[X]:((~wise(X)|~tall(X))))=>(?[X]:((~creative(X)|happy(X)))))&
(![X]:(~tall(X)<=>quiet(X)))&
((~funny(lucy))<=>((happy(paul)&brave(paul))))&
(![X]:((~patient(X)&~humble(X))<=>~wise(X)))&
((?[X]:((~funny(X)<~>~old(X))))=>(?[X]:((patient(X)&~strong(X)))))&
(![X]:((~wise(X)<~>~calm(X))=>ta... | ~kind(paul) | [
"p0",
"p2",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8571536396094654161680242
% SZS output start Proof for 8571536396094654161680242
1. ! [X0] : (~tall(X0) <=> happy(X0)) [input p0]
3. ! [X0] : (~tall(X0) <=> quiet(X0)) [input p2]
14. ! [X0] : ((~kind(X0) & ~patient(X0)) <=> (happy(X0) & ~tall(X0))) [input p13]
21. quiet(paul) & ~rich(paul... | 0 |
Everyone who is patient is generous.
Everyone who is both not tall and brave is rich.
If mary is both not kind and patient then someone is either not generous or not wise.
If someone is both not wise and not brave then mary is calm or creative.
Everyone who is either tall or not funny is either not rich or quiet.
If so... | Susan is not tall. | contradiction | (![X]:(patient(X)=>generous(X)))&
(![X]:((~tall(X)&brave(X))=>rich(X)))&
(((~kind(mary)&patient(mary)))=>(?[X]:((~generous(X)<~>~wise(X)))))&
((?[X]:((~wise(X)&~brave(X))))=>((calm(mary)|creative(mary))))&
(![X]:((tall(X)<~>~funny(X))=>(~rich(X)<~>quiet(X))))&
((?[X]:(happy(X)))<=>((~generous(susan)&brave(susan))))&
(!... | ~tall(susan) | [
"p0",
"p5",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5098320862127271963448315
% SZS output start Proof for 5098320862127271963448315
1. ! [X0] : (patient(X0) => generous(X0)) [input p0]
6. ? [X0] : happy(X0) <=> (brave(susan) & ~generous(susan)) [input p5]
7. ! [X0] : ((~old(X0) <~> patient(X0)) => (~brave(X0) & wise(X0))) [input p6]
13. !... | 0 |
If someone is not quiet or not patient then alice is not old or brave and vice versa. If someone is calm or not brave then someone is humble. Everyone who is curious or not funny is funny or wise. Everyone who is both calm and not rich is either not calm or not patient. Everyone who is either humble or not strong is br... | Fred is kind. | contradiction | ((?[X]:((~quiet(X)|~patient(X))))<=>((~old(alice)|brave(alice))))&
((?[X]:((calm(X)|~brave(X))))=>(?[X]:(humble(X))))&
(![X]:((curious(X)|~funny(X))=>(funny(X)|wise(X))))&
(![X]:((calm(X)&~rich(X))=>(~calm(X)<~>~patient(X))))&
(![X]:((humble(X)<~>~strong(X))=>(brave(X)|~patient(X))))&
((?[X]:((~old(X)|funny(X))))<=>(?[... | kind(fred) | [
"p4",
"p10",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4652655810709489502416065
% SZS output start Proof for 4652655810709489502416065
5. ! [X0] : ((humble(X0) <~> ~strong(X0)) => (~patient(X0) | brave(X0))) [input p4]
11. ! [X0] : ((kind(X0) | ~old(X0)) <=> (~old(X0) & humble(X0))) [input p10]
12. ! [X0] : ((~happy(X0) & ~calm(X0)) <=> (~st... | 0 |
If john is not tall or not generous then lucy is kind or not rich and vice versa.
If someone is tall or curious then someone is curious.
Everyone who is either not rich or not creative is either calm or not quiet and vice versa.
Everyone who is not humble is both patient and rich.
If susan is wise then paul is both cur... | Lucy is not generous. | neutral | (((~tall(john)|~generous(john)))<=>((kind(lucy)|~rich(lucy))))&
((?[X]:((tall(X)|curious(X))))=>(?[X]:(curious(X))))&
(![X]:((~rich(X)<~>~creative(X))<=>(calm(X)<~>~quiet(X))))&
(![X]:(~humble(X)=>(patient(X)&rich(X))))&
((wise(susan))=>((curious(paul)&funny(paul))))&
(![X]:((patient(X)<~>~generous(X))<=>(~rich(X)&pati... | ~generous(lucy) | [] | null | 0 |
Everyone who is not calm is not creative or rich and vice versa. If mary is both humble and kind then susan is either calm or not old and vice versa. Everyone who is happy is either not happy or brave. If someone is both brave and happy then alice is either quiet or not old and vice versa. Everyone who is both not curi... | Susan is tall. | neutral | (![X]:(~calm(X)<=>(~creative(X)|rich(X))))&
(((humble(mary)&kind(mary)))<=>((calm(susan)<~>~old(susan))))&
(![X]:(happy(X)=>(~happy(X)<~>brave(X))))&
((?[X]:((brave(X)&happy(X))))<=>((quiet(alice)<~>~old(alice))))&
(![X]:((~curious(X)&creative(X))=>~humble(X)))&
(![X]:((funny(X)|~creative(X))=>(~old(X)&kind(X))))&
(![X... | tall(susan) | [] | null | 0 |
Everyone who is not strong is not old or not happy and vice versa.
Everyone who is not humble is either not patient or not happy.
Everyone who is not curious is both not quiet and wise and vice versa.
Everyone who is not kind or patient is both not rich and not creative and vice versa.
Everyone who is not funny or happ... | Lucy is not patient. | entailment | (![X]:(~strong(X)<=>(~old(X)|~happy(X))))&
(![X]:(~humble(X)=>(~patient(X)<~>~happy(X))))&
(![X]:(~curious(X)<=>(~quiet(X)&wise(X))))&
(![X]:((~kind(X)|patient(X))<=>(~rich(X)&~creative(X))))&
(![X]:((~funny(X)|happy(X))=>(tall(X)<~>wise(X))))&
((?[X]:(~funny(X)))<=>((~calm(john)&funny(john))))&
((?[X]:((~creative(X)<~... | ~patient(lucy) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8515500455466827839189443
% SZS output start Proof for 8515500455466827839189443
6. ? [X0] : ~funny(X0) <=> (funny(john) & ~calm(john)) [input p5]
13. (~quiet(lucy) & ~patient(lucy)) <=> ? [X0] : (funny(X0) | ~strong(X0)) [input p12]
24. patient(lucy) [input hypothesis]
42. (? [X0] : ~fun... | 0 |
If someone is not calm or brave then lucy is not funny.
Everyone who is either not strong or tall is either not happy or not quiet.
Everyone who is rich or generous is not patient and vice versa.
Everyone who is either not patient or not tall is not kind and vice versa.
Everyone who is rich is both not patient and not ... | Susan is not happy. | neutral | ((?[X]:((~calm(X)|brave(X))))=>(~funny(lucy)))&
(![X]:((~strong(X)<~>tall(X))=>(~happy(X)<~>~quiet(X))))&
(![X]:((rich(X)|generous(X))<=>~patient(X)))&
(![X]:((~patient(X)<~>~tall(X))<=>~kind(X)))&
(![X]:(rich(X)<=>(~patient(X)&~kind(X))))&
((?[X]:((rich(X)|~patient(X))))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
((?[X]:((hap... | ~happy(susan) | [] | null | 0 |
If john is either wise or not old then susan is curious and vice versa. Everyone who is both curious and not wise is both not rich and funny. If paul is either curious or not funny then someone is not happy and vice versa. Everyone who is both not kind and not rich is creative and vice versa. If fred is both strong and... | John is kind. | neutral | (((wise(john)<~>~old(john)))<=>(curious(susan)))&
(![X]:((curious(X)&~wise(X))=>(~rich(X)&funny(X))))&
(((curious(paul)<~>~funny(paul)))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)&~rich(X))<=>creative(X)))&
(((strong(fred)&wise(fred)))<=>((generous(john)<~>patient(john))))&
(![X]:((old(X)&tall(X))<=>(curious(X)&kind(X))))... | kind(john) | [] | null | 0 |
If someone is strong then someone is not rich. If someone is both wise and not curious then someone is generous or not patient and vice versa. Everyone who is both not wise and curious is not curious or not rich and vice versa. If someone is not creative or wise then fred is creative and vice versa. If paul is either h... | Paul is not rich. | contradiction | ((?[X]:(strong(X)))=>(?[X]:(~rich(X))))&
((?[X]:((wise(X)&~curious(X))))<=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((~wise(X)&curious(X))<=>(~curious(X)|~rich(X))))&
((?[X]:((~creative(X)|wise(X))))<=>(creative(fred)))&
(((humble(paul)<~>wise(paul)))<=>((patient(john)|~rich(john))))&
((?[X]:((rich(X)<~>quiet(X))))=>... | ~rich(paul) | [
"p1",
"p2",
"p4",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3234926946773600833367473
% SZS output start Proof for 3234926946773600833367473
2. ? [X0] : (~curious(X0) & wise(X0)) <=> ? [X0] : (~patient(X0) | generous(X0)) [input p1]
3. ! [X0] : ((curious(X0) & ~wise(X0)) <=> (~rich(X0) | ~curious(X0))) [input p2]
5. (humble(paul) <~> wise(paul)) <... | 0 |
If john is curious or not curious then paul is both not quiet and generous. If mary is creative or not patient then mary is either happy or not patient and vice versa. Everyone who is tall or happy is either quiet or generous. Everyone who is rich is not kind. If someone is brave then susan is not funny or not generous... | Fred is not quiet. | neutral | (((curious(john)|~curious(john)))=>((~quiet(paul)&generous(paul))))&
(((creative(mary)|~patient(mary)))<=>((happy(mary)<~>~patient(mary))))&
(![X]:((tall(X)|happy(X))=>(quiet(X)<~>generous(X))))&
(![X]:(rich(X)=>~kind(X)))&
((?[X]:(brave(X)))<=>((~funny(susan)|~generous(susan))))&
(![X]:((rich(X)|~old(X))<=>~tall(X)))&... | ~quiet(fred) | [] | null | 0 |
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