premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not wise or creative is not curious or not kind and vice versa.
Everyone who is not brave is either not wise or not generous.
Everyone who is either not rich or tall is funny and vice versa.
Everyone who is not calm is creative or happy and vice versa.
Everyone who is not tall or not calm is not ... | Lucy is brave. | neutral | (![X]:((~wise(X)<~>creative(X))<=>(~curious(X)|~kind(X))))&
(![X]:(~brave(X)=>(~wise(X)<~>~generous(X))))&
(![X]:((~rich(X)<~>tall(X))<=>funny(X)))&
(![X]:(~calm(X)<=>(creative(X)|happy(X))))&
(![X]:((~tall(X)|~calm(X))<=>~creative(X)))&
(![X]:((~brave(X)<~>creative(X))=>~humble(X)))&
((?[X]:((curious(X)|~quiet(X))))<=... | brave(lucy) | [] | null | 0 |
Everyone who is not humble is not wise or old and vice versa.
If someone is either rich or not patient then someone is rich or not creative and vice versa.
Everyone who is either not brave or calm is both not strong and not quiet and vice versa.
Everyone who is wise is generous or not brave and vice versa.
Everyone who... | Paul is not old. | contradiction | (![X]:(~humble(X)<=>(~wise(X)|old(X))))&
((?[X]:((rich(X)<~>~patient(X))))<=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((~brave(X)<~>calm(X))<=>(~strong(X)&~quiet(X))))&
(![X]:(wise(X)<=>(generous(X)|~brave(X))))&
(![X]:(~happy(X)=>(brave(X)&~funny(X))))&
(![X]:(kind(X)=>~humble(X)))&
(![X]:(~strong(X)<=>tall(X)))&
(![X]... | ~old(paul) | [
"p0",
"p3",
"p5",
"p7",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7837600935314206956863279
% SZS output start Proof for 7837600935314206956863279
1. ! [X0] : (~humble(X0) <=> (old(X0) | ~wise(X0))) [input p0]
4. ! [X0] : (wise(X0) <=> (~brave(X0) | generous(X0))) [input p3]
6. ! [X0] : (kind(X0) => ~humble(X0)) [input p5]
8. ! [X0] : (brave(X0) => (bra... | 0 |
Everyone who is either not kind or humble is strong or creative. If someone is quiet then susan is either not curious or not generous and vice versa. If someone is not old or not happy then mary is both not happy and calm. If someone is both quiet and not humble then susan is either creative or not creative and vice ve... | Lucy is not generous. | neutral | (![X]:((~kind(X)<~>humble(X))=>(strong(X)|creative(X))))&
((?[X]:(quiet(X)))<=>((~curious(susan)<~>~generous(susan))))&
((?[X]:((~old(X)|~happy(X))))=>((~happy(mary)&calm(mary))))&
((?[X]:((quiet(X)&~humble(X))))<=>((creative(susan)<~>~creative(susan))))&
((?[X]:((happy(X)<~>curious(X))))<=>(?[X]:((curious(X)&kind(X)))... | ~generous(lucy) | [] | null | 0 |
If john is not kind or not humble then someone is both not strong and not generous.
Everyone who is either not rich or not happy is old and vice versa.
If someone is both not brave and not funny then someone is either not funny or generous and vice versa.
If someone is funny or not tall then john is both not tall and w... | Alice is not humble. | contradiction | (((~kind(john)|~humble(john)))=>(?[X]:((~strong(X)&~generous(X)))))&
(![X]:((~rich(X)<~>~happy(X))<=>old(X)))&
((?[X]:((~brave(X)&~funny(X))))<=>(?[X]:((~funny(X)<~>generous(X)))))&
((?[X]:((funny(X)|~tall(X))))<=>((~tall(john)&wise(john))))&
(((wise(paul)<~>humble(paul)))<=>((funny(lucy)<~>rich(lucy))))&
(![X]:((~happ... | ~humble(alice) | [
"p7",
"p8",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1118007364524807920589570
% SZS output start Proof for 1118007364524807920589570
8. ! [X0] : ((~rich(X0) <~> ~old(X0)) <=> (quiet(X0) <~> rich(X0))) [input p7]
9. ? [X0] : (~funny(X0) | generous(X0)) => ~strong(john) [input p8]
13. ? [X0] : (~humble(X0) & ~quiet(X0)) => (~funny(john) & ~g... | 0 |
Everyone who is not funny is both tall and not brave.
Everyone who is either wise or creative is both not old and funny.
Everyone who is not patient or brave is either not brave or generous.
Everyone who is both tall and calm is either strong or not strong and vice versa.
If someone is both not happy and not old then s... | John is not tall. | contradiction | (![X]:(~funny(X)=>(tall(X)&~brave(X))))&
(![X]:((wise(X)<~>creative(X))=>(~old(X)&funny(X))))&
(![X]:((~patient(X)|brave(X))=>(~brave(X)<~>generous(X))))&
(![X]:((tall(X)&calm(X))<=>(strong(X)<~>~strong(X))))&
((?[X]:((~happy(X)&~old(X))))=>((~calm(susan)<~>wise(susan))))&
(![X]:((~curious(X)<~>rich(X))<=>(~brave(X)|ki... | ~tall(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3900401974433830662116351
% SZS output start Proof for 3900401974433830662116351
4. ! [X0] : ((calm(X0) & tall(X0)) <=> (strong(X0) <~> ~strong(X0))) [input p3]
23. ~tall(john) [input hypothesis]
37. ! [X0] : (((calm(X0) & tall(X0)) | ((strong(X0) | strong(X0)) & (~strong(X0) | ~strong(X0... | 0 |
Everyone who is generous is either not humble or not old and vice versa.
If john is either not tall or not humble then someone is not humble.
Everyone who is rich or not old is both strong and calm and vice versa.
If paul is not brave or humble then someone is calm or not patient.
Everyone who is both not generous and ... | Paul is not old. | contradiction | (![X]:(generous(X)<=>(~humble(X)<~>~old(X))))&
(((~tall(john)<~>~humble(john)))=>(?[X]:(~humble(X))))&
(![X]:((rich(X)|~old(X))<=>(strong(X)&calm(X))))&
(((~brave(paul)|humble(paul)))=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:((~generous(X)&kind(X))<=>(patient(X)&~kind(X))))&
(![X]:((patient(X)|~curious(X))<=>(~funny(X)&... | ~old(paul) | [
"p2",
"p4",
"p5",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7380848691196581424985249
% SZS output start Proof for 7380848691196581424985249
3. ! [X0] : ((~old(X0) | rich(X0)) <=> (calm(X0) & strong(X0))) [input p2]
5. ! [X0] : ((kind(X0) & ~generous(X0)) <=> (~kind(X0) & patient(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | patient(X0)) <=> (~hap... | 0 |
If someone is both calm and rich then someone is not curious or generous.
Everyone who is both not generous and not humble is brave or not patient.
If john is both not humble and not wise then fred is either tall or not old.
If fred is either not wise or not rich then someone is either old or not kind.
If someone is cr... | Fred is not generous. | entailment | ((?[X]:((calm(X)&rich(X))))=>(?[X]:((~curious(X)|generous(X)))))&
(![X]:((~generous(X)&~humble(X))=>(brave(X)|~patient(X))))&
(((~humble(john)&~wise(john)))=>((tall(fred)<~>~old(fred))))&
(((~wise(fred)<~>~rich(fred)))=>(?[X]:((old(X)<~>~kind(X)))))&
((?[X]:((creative(X)|~humble(X))))=>(rich(mary)))&
(![X]:((humble(X)<... | ~generous(fred) | [
"p6",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8219563169715531899218869
% SZS output start Proof for 8219563169715531899218869
7. ! [X0] : (~tall(X0) => (old(X0) & ~generous(X0))) [input p6]
10. ? [X0] : (~quiet(X0) | happy(X0)) => ? [X0] : ~rich(X0) [input p9]
12. ! [X0] : ((rich(X0) & ~generous(X0)) <=> (~rich(X0) | ~funny(X0))) [i... | 0 |
If someone is either not old or not humble then lucy is not old or creative.
Everyone who is either not generous or curious is either not happy or not quiet.
Everyone who is old is generous or not generous.
If john is either not tall or not patient then alice is either happy or curious and vice versa.
If fred is both c... | John is not funny. | contradiction | ((?[X]:((~old(X)<~>~humble(X))))=>((~old(lucy)|creative(lucy))))&
(![X]:((~generous(X)<~>curious(X))=>(~happy(X)<~>~quiet(X))))&
(![X]:(old(X)=>(generous(X)|~generous(X))))&
(((~tall(john)<~>~patient(john)))<=>((happy(alice)<~>curious(alice))))&
(((creative(fred)&~happy(fred)))<=>(?[X]:((~funny(X)&wise(X)))))&
(((happy... | ~funny(john) | [
"p4",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5312536711844618319865734
% SZS output start Proof for 5312536711844618319865734
5. (~happy(fred) & creative(fred)) <=> ? [X0] : (wise(X0) & ~funny(X0)) [input p4]
10. ! [X0] : ((~creative(X0) <~> ~brave(X0)) => (happy(X0) <~> patient(X0))) [input p9]
11. ! [X0] : (~funny(X0) <=> wise(X0)... | 0 |
If john is either humble or not old then someone is both not curious and not generous. Everyone who is rich is either strong or not strong. Everyone who is either not calm or quiet is either not calm or humble and vice versa. Everyone who is not tall or not generous is both not patient and tall. Everyone who is curious... | Lucy is not quiet. | neutral | (((humble(john)<~>~old(john)))=>(?[X]:((~curious(X)&~generous(X)))))&
(![X]:(rich(X)=>(strong(X)<~>~strong(X))))&
(![X]:((~calm(X)<~>quiet(X))<=>(~calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~generous(X))=>(~patient(X)&tall(X))))&
(![X]:((curious(X)|~tall(X))<=>(~tall(X)<~>kind(X))))&
(![X]:((~strong(X)&~calm(X))<=>(~funn... | ~quiet(lucy) | [] | null | 0 |
Everyone who is rich or not strong is not kind. Everyone who is rich is curious and vice versa. Everyone who is not wise or not funny is both not curious and not tall and vice versa. Everyone who is both not strong and not brave is both patient and brave. If fred is humble then someone is either not old or not creative... | Fred is not patient. | contradiction | (![X]:((rich(X)|~strong(X))=>~kind(X)))&
(![X]:(rich(X)<=>curious(X)))&
(![X]:((~wise(X)|~funny(X))<=>(~curious(X)&~tall(X))))&
(![X]:((~strong(X)&~brave(X))=>(patient(X)&brave(X))))&
((humble(fred))<=>(?[X]:((~old(X)<~>~creative(X)))))&
(![X]:(calm(X)=>(wise(X)|strong(X))))&
(![X]:((quiet(X)<~>rich(X))=>(quiet(X)&brav... | ~patient(fred) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6556563611939697800423730
% SZS output start Proof for 6556563611939697800423730
14. ! [X0] : ((old(X0) | brave(X0)) => (rich(X0) & ~tall(X0))) [input p13]
16. ! [X0] : ((~tall(X0) & patient(X0)) <=> (rich(X0) | ~brave(X0))) [input p15]
25. ~patient(fred) [input hypothesis]
40. ! [X0] : (... | 0 |
Everyone who is both quiet and rich is both curious and strong.
Everyone who is not brave is not tall and vice versa.
If someone is both generous and not rich then fred is not wise.
Everyone who is not curious or not patient is both brave and not rich.
If susan is both not humble and generous then alice is either not o... | Lucy is not creative. | neutral | (![X]:((quiet(X)&rich(X))=>(curious(X)&strong(X))))&
(![X]:(~brave(X)<=>~tall(X)))&
((?[X]:((generous(X)&~rich(X))))=>(~wise(fred)))&
(![X]:((~curious(X)|~patient(X))=>(brave(X)&~rich(X))))&
(((~humble(susan)&generous(susan)))=>((~old(alice)<~>~tall(alice))))&
(![X]:((~patient(X)|~rich(X))<=>generous(X)))&
((?[X]:(funn... | ~creative(lucy) | [] | null | 0 |
Everyone who is not calm is not creative.
Everyone who is calm is not generous or not curious.
Everyone who is either funny or not old is either not rich or tall and vice versa.
If john is either not patient or not calm then john is both curious and not strong and vice versa.
Everyone who is not funny is not rich or no... | Fred is old. | neutral | (![X]:(~calm(X)=>~creative(X)))&
(![X]:(calm(X)=>(~generous(X)|~curious(X))))&
(![X]:((funny(X)<~>~old(X))<=>(~rich(X)<~>tall(X))))&
(((~patient(john)<~>~calm(john)))<=>((curious(john)&~strong(john))))&
(![X]:(~funny(X)=>(~rich(X)|~old(X))))&
((?[X]:(tall(X)))<=>(?[X]:((kind(X)|~wise(X)))))&
(((~generous(paul)|funny(pa... | old(fred) | [] | null | 0 |
Everyone who is both funny and old is not patient or strong and vice versa.
If someone is both tall and not curious then someone is not strong or not happy and vice versa.
Everyone who is calm or kind is both tall and not rich and vice versa.
If susan is both not wise and not happy then someone is not strong.
If fred i... | Lucy is not patient. | neutral | (![X]:((funny(X)&old(X))<=>(~patient(X)|strong(X))))&
((?[X]:((tall(X)&~curious(X))))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:((calm(X)|kind(X))<=>(tall(X)&~rich(X))))&
(((~wise(susan)&~happy(susan)))=>(?[X]:(~strong(X))))&
(((curious(fred)|kind(fred)))=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((~old(X)&happy(X))=>rich(... | ~patient(lucy) | [] | null | 0 |
If mary is humble or rich then someone is either kind or not old. Everyone who is rich is not tall. If alice is either calm or brave then someone is rich. Everyone who is either brave or patient is not rich and vice versa. Everyone who is not tall is not happy. Everyone who is either calm or tall is both not rich and n... | Alice is creative. | contradiction | (((humble(mary)|rich(mary)))=>(?[X]:((kind(X)<~>~old(X)))))&
(![X]:(rich(X)=>~tall(X)))&
(((calm(alice)<~>brave(alice)))=>(?[X]:(rich(X))))&
(![X]:((brave(X)<~>patient(X))<=>~rich(X)))&
(![X]:(~tall(X)=>~happy(X)))&
(![X]:((calm(X)<~>tall(X))<=>(~rich(X)&~tall(X))))&
(![X]:(~kind(X)=>(~kind(X)&kind(X))))&
(![X]:((~happ... | creative(alice) | [
"p3",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6828946802125380857203755
% SZS output start Proof for 6828946802125380857203755
4. ! [X0] : ((brave(X0) <~> patient(X0)) <=> ~rich(X0)) [input p3]
7. ! [X0] : (~kind(X0) => (kind(X0) & ~kind(X0))) [input p6]
9. ! [X0] : ((creative(X0) <~> ~kind(X0)) => patient(X0)) [input p8]
16. ! [X0] ... | 0 |
Everyone who is either not rich or not humble is either not funny or tall.
Everyone who is both not happy and not wise is either generous or not generous and vice versa.
Everyone who is not quiet or tall is not funny.
If someone is creative then mary is strong or patient.
If lucy is curious or quiet then paul is not pa... | Alice is not strong. | neutral | (![X]:((~rich(X)<~>~humble(X))=>(~funny(X)<~>tall(X))))&
(![X]:((~happy(X)&~wise(X))<=>(generous(X)<~>~generous(X))))&
(![X]:((~quiet(X)|tall(X))=>~funny(X)))&
((?[X]:(creative(X)))=>((strong(mary)|patient(mary))))&
(((curious(lucy)|quiet(lucy)))<=>((~patient(paul)|~calm(paul))))&
(![X]:((rich(X)&~kind(X))<=>(rich(X)&q... | ~strong(alice) | [] | null | 0 |
If paul is both tall and not patient then someone is both old and quiet.
If someone is not happy or funny then mary is both curious and creative.
Everyone who is both curious and generous is either not calm or not wise.
Everyone who is not brave or quiet is not generous and vice versa.
Everyone who is brave or creative... | Mary is generous. | contradiction | (((tall(paul)&~patient(paul)))=>(?[X]:((old(X)&quiet(X)))))&
((?[X]:((~happy(X)|funny(X))))=>((curious(mary)&creative(mary))))&
(![X]:((curious(X)&generous(X))=>(~calm(X)<~>~wise(X))))&
(![X]:((~brave(X)|quiet(X))<=>~generous(X)))&
(![X]:((brave(X)|creative(X))=>(~generous(X)&curious(X))))&
(((happy(mary)|~calm(mary)))... | generous(mary) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4035937673372504422268571
% SZS output start Proof for 4035937673372504422268571
4. ! [X0] : ((quiet(X0) | ~brave(X0)) <=> ~generous(X0)) [input p3]
5. ! [X0] : ((creative(X0) | brave(X0)) => (curious(X0) & ~generous(X0))) [input p4]
25. generous(mary) [input hypothesis]
34. ! [X0] : ((cu... | 0 |
If lucy is not old or not quiet then someone is both quiet and calm and vice versa. If someone is either wise or kind then alice is tall. Everyone who is either curious or funny is not humble or brave. Everyone who is wise is either funny or not patient and vice versa. Everyone who is patient or quiet is either wise or... | Susan is calm. | neutral | (((~old(lucy)|~quiet(lucy)))<=>(?[X]:((quiet(X)&calm(X)))))&
((?[X]:((wise(X)<~>kind(X))))=>(tall(alice)))&
(![X]:((curious(X)<~>funny(X))=>(~humble(X)|brave(X))))&
(![X]:(wise(X)<=>(funny(X)<~>~patient(X))))&
(![X]:((patient(X)|quiet(X))=>(wise(X)<~>kind(X))))&
(![X]:((~creative(X)|~patient(X))<=>(~generous(X)|creativ... | calm(susan) | [] | null | 0 |
If someone is either not creative or not kind then someone is both happy and not wise.
Everyone who is not patient or not creative is both calm and strong and vice versa.
If someone is brave then lucy is both not tall and not calm and vice versa.
If someone is strong or patient then paul is creative or not patient and ... | Alice is creative. | neutral | ((?[X]:((~creative(X)<~>~kind(X))))=>(?[X]:((happy(X)&~wise(X)))))&
(![X]:((~patient(X)|~creative(X))<=>(calm(X)&strong(X))))&
((?[X]:(brave(X)))<=>((~tall(lucy)&~calm(lucy))))&
((?[X]:((strong(X)|patient(X))))<=>((creative(paul)|~patient(paul))))&
((?[X]:((~calm(X)<~>creative(X))))<=>((brave(alice)<~>humble(alice))))&... | creative(alice) | [] | null | 0 |
Everyone who is either kind or curious is not strong or brave and vice versa.
If someone is patient then susan is tall.
Everyone who is not curious is rich and vice versa.
If someone is kind or not happy then john is either funny or not quiet and vice versa.
Everyone who is either not generous or not rich is not quiet ... | Alice is not quiet. | contradiction | (![X]:((kind(X)<~>curious(X))<=>(~strong(X)|brave(X))))&
((?[X]:(patient(X)))=>(tall(susan)))&
(![X]:(~curious(X)<=>rich(X)))&
((?[X]:((kind(X)|~happy(X))))<=>((funny(john)<~>~quiet(john))))&
(![X]:((~generous(X)<~>~rich(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((humble(X)|generous(X))<=>(~humble(X)|~funny(X))))&
((?[X]:((~... | ~quiet(alice) | [
"p2",
"p4",
"p5",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6371942749172940648119217
% SZS output start Proof for 6371942749172940648119217
3. ! [X0] : (~curious(X0) <=> rich(X0)) [input p2]
5. ! [X0] : ((~generous(X0) <~> ~rich(X0)) <=> (~kind(X0) | ~quiet(X0))) [input p4]
6. ! [X0] : ((generous(X0) | humble(X0)) <=> (~funny(X0) | ~humble(X0))) ... | 0 |
Everyone who is curious is both not strong and not old and vice versa.
If someone is not old then someone is old or not brave.
Everyone who is generous or not kind is both not quiet and humble and vice versa.
Everyone who is not curious is either not happy or not strong.
Everyone who is either not curious or not quiet ... | Alice is kind. | neutral | (![X]:(curious(X)<=>(~strong(X)&~old(X))))&
((?[X]:(~old(X)))=>(?[X]:((old(X)|~brave(X)))))&
(![X]:((generous(X)|~kind(X))<=>(~quiet(X)&humble(X))))&
(![X]:(~curious(X)=>(~happy(X)<~>~strong(X))))&
(![X]:((~curious(X)<~>~quiet(X))<=>(creative(X)&funny(X))))&
(![X]:((generous(X)|~funny(X))<=>(~old(X)<~>humble(X))))&
(((... | kind(alice) | [] | null | 0 |
If someone is not curious then susan is curious or not humble and vice versa.
If alice is either old or not patient then someone is tall or curious.
Everyone who is both wise and not quiet is curious or strong and vice versa.
If lucy is either not wise or tall then someone is brave and vice versa.
Everyone who is both ... | Susan is not old. | neutral | ((?[X]:(~curious(X)))<=>((curious(susan)|~humble(susan))))&
(((old(alice)<~>~patient(alice)))=>(?[X]:((tall(X)|curious(X)))))&
(![X]:((wise(X)&~quiet(X))<=>(curious(X)|strong(X))))&
(((~wise(lucy)<~>tall(lucy)))<=>(?[X]:(brave(X))))&
(![X]:((funny(X)&curious(X))=>~wise(X)))&
(![X]:((tall(X)&funny(X))<=>(old(X)&~patient... | ~old(susan) | [] | null | 0 |
Everyone who is not brave or not funny is not old or calm.
Everyone who is not funny is either tall or wise.
Everyone who is not strong is not curious or quiet and vice versa.
If alice is both happy and not wise then someone is not humble and vice versa.
Everyone who is either happy or not rich is creative or not tall.... | Mary is not kind. | neutral | (![X]:((~brave(X)|~funny(X))=>(~old(X)|calm(X))))&
(![X]:(~funny(X)=>(tall(X)<~>wise(X))))&
(![X]:(~strong(X)<=>(~curious(X)|quiet(X))))&
(((happy(alice)&~wise(alice)))<=>(?[X]:(~humble(X))))&
(![X]:((happy(X)<~>~rich(X))=>(creative(X)|~tall(X))))&
((happy(alice))=>(~wise(mary)))&
(![X]:((rich(X)|kind(X))=>(generous(X)... | ~kind(mary) | [] | null | 0 |
If john is both strong and not curious then paul is both not funny and creative and vice versa. Everyone who is both curious and brave is either rich or strong and vice versa. If paul is either not brave or tall then someone is not patient. Everyone who is both generous and calm is not wise or calm. If someone is eithe... | Alice is happy. | neutral | (((strong(john)&~curious(john)))<=>((~funny(paul)&creative(paul))))&
(![X]:((curious(X)&brave(X))<=>(rich(X)<~>strong(X))))&
(((~brave(paul)<~>tall(paul)))=>(?[X]:(~patient(X))))&
(![X]:((generous(X)&calm(X))=>(~wise(X)|calm(X))))&
((?[X]:((~rich(X)<~>~strong(X))))<=>(?[X]:((~happy(X)<~>~tall(X)))))&
((?[X]:((~patient(... | happy(alice) | [] | null | 0 |
Everyone who is not strong or not kind is not humble. Everyone who is not tall is both not happy and not calm. Everyone who is both not generous and happy is brave or not old and vice versa. If mary is either happy or not generous then someone is either wise or patient. Everyone who is both not strong and strong is not... | Susan is not rich. | entailment | (![X]:((~strong(X)|~kind(X))=>~humble(X)))&
(![X]:(~tall(X)=>(~happy(X)&~calm(X))))&
(![X]:((~generous(X)&happy(X))<=>(brave(X)|~old(X))))&
(((happy(mary)<~>~generous(mary)))=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:((~strong(X)&strong(X))=>(~curious(X)|brave(X))))&
((?[X]:((rich(X)<~>brave(X))))=>(~calm(paul)))&
((?[X... | ~rich(susan) | [
"p2",
"p5",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4847611509156174951519123
% SZS output start Proof for 4847611509156174951519123
3. ! [X0] : ((happy(X0) & ~generous(X0)) <=> (~old(X0) | brave(X0))) [input p2]
6. ? [X0] : (rich(X0) <~> brave(X0)) => ~calm(paul) [input p5]
9. ! [X0] : ((calm(X0) & strong(X0)) <=> (~kind(X0) | ~calm(X0)))... | 0 |
If lucy is either strong or not tall then susan is not humble and vice versa.
Everyone who is either not patient or creative is both not calm and curious and vice versa.
Everyone who is wise or not rich is not rich and vice versa.
If paul is either funny or kind then lucy is generous or curious and vice versa.
If lucy ... | Alice is not creative. | neutral | (((strong(lucy)<~>~tall(lucy)))<=>(~humble(susan)))&
(![X]:((~patient(X)<~>creative(X))<=>(~calm(X)&curious(X))))&
(![X]:((wise(X)|~rich(X))<=>~rich(X)))&
(((funny(paul)<~>kind(paul)))<=>((generous(lucy)|curious(lucy))))&
(((~strong(lucy)&~quiet(lucy)))<=>((kind(susan)&calm(susan))))&
((?[X]:(funny(X)))<=>(?[X]:(~brave... | ~creative(alice) | [] | null | 0 |
Everyone who is kind or curious is not tall.
Everyone who is not curious is both generous and not kind and vice versa.
Everyone who is not brave is both quiet and humble.
Everyone who is both not quiet and quiet is not humble or kind and vice versa.
If someone is not quiet or funny then someone is not creative or old a... | Lucy is not calm. | neutral | (![X]:((kind(X)|curious(X))=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:((~quiet(X)&quiet(X))<=>(~humble(X)|kind(X))))&
((?[X]:((~quiet(X)|funny(X))))<=>(?[X]:((~creative(X)|old(X)))))&
(((humble(susan)&calm(susan)))=>(?[X]:((~curious(X)|~strong(X)))))&
(!... | ~calm(lucy) | [] | null | 0 |
If someone is kind then alice is curious and vice versa. Everyone who is tall is not happy or wise and vice versa. Everyone who is not rich or strong is happy. Everyone who is either not creative or generous is not creative. Everyone who is not patient is not brave or brave and vice versa. Everyone who is not brave or ... | Paul is quiet. | neutral | ((?[X]:(kind(X)))<=>(curious(alice)))&
(![X]:(tall(X)<=>(~happy(X)|wise(X))))&
(![X]:((~rich(X)|strong(X))=>happy(X)))&
(![X]:((~creative(X)<~>generous(X))=>~creative(X)))&
(![X]:(~patient(X)<=>(~brave(X)|brave(X))))&
(![X]:((~brave(X)|~strong(X))<=>(brave(X)|~rich(X))))&
((?[X]:((~old(X)&wise(X))))<=>((quiet(mary)<~>~... | quiet(paul) | [] | null | 0 |
If susan is quiet then someone is both patient and funny.
Everyone who is either strong or calm is patient and vice versa.
If fred is either not kind or not funny then someone is not patient or curious.
If susan is not rich or funny then someone is generous and vice versa.
Everyone who is not creative is both patient a... | Paul is not curious. | entailment | ((quiet(susan))=>(?[X]:((patient(X)&funny(X)))))&
(![X]:((strong(X)<~>calm(X))<=>patient(X)))&
(((~kind(fred)<~>~funny(fred)))=>(?[X]:((~patient(X)|curious(X)))))&
(((~rich(susan)|funny(susan)))<=>(?[X]:(generous(X))))&
(![X]:(~creative(X)=>(patient(X)&~patient(X))))&
((?[X]:((quiet(X)&creative(X))))<=>(~curious(paul))... | ~curious(paul) | [
"p4",
"p5",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 472071726807397360736049
% SZS output start Proof for 472071726807397360736049
5. ! [X0] : (~creative(X0) => (~patient(X0) & patient(X0))) [input p4]
6. ? [X0] : (creative(X0) & quiet(X0)) <=> ~curious(paul) [input p5]
13. ! [X0] : (happy(X0) <=> (~funny(X0) | kind(X0))) [input p12]
15. ?... | 0 |
If paul is wise then someone is not quiet or kind. Everyone who is either kind or not patient is both not patient and not humble and vice versa. If someone is both kind and rich then someone is not quiet or funny. If mary is either old or wise then someone is both not strong and not curious and vice versa. Everyone who... | Mary is strong. | entailment | ((wise(paul))=>(?[X]:((~quiet(X)|kind(X)))))&
(![X]:((kind(X)<~>~patient(X))<=>(~patient(X)&~humble(X))))&
((?[X]:((kind(X)&rich(X))))=>(?[X]:((~quiet(X)|funny(X)))))&
(((old(mary)<~>wise(mary)))<=>(?[X]:((~strong(X)&~curious(X)))))&
(![X]:((quiet(X)<~>generous(X))=>(~calm(X)&~humble(X))))&
(![X]:((~patient(X)|~generou... | strong(mary) | [
"p1",
"p6",
"p8",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8075332026710331717992648
% SZS output start Proof for 8075332026710331717992648
2. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> (~humble(X0) & ~patient(X0))) [input p1]
7. ! [X0] : ((calm(X0) & strong(X0)) <=> (rich(X0) | funny(X0))) [input p6]
9. ! [X0] : ((humble(X0) & ~patient(X0)) => (r... | 0 |
If someone is either creative or not kind then mary is both creative and strong.
Everyone who is both wise and not old is both not quiet and wise and vice versa.
Everyone who is both humble and quiet is calm.
If lucy is not quiet or not creative then mary is both not patient and quiet.
Everyone who is not wise is not k... | John is wise. | entailment | ((?[X]:((creative(X)<~>~kind(X))))=>((creative(mary)&strong(mary))))&
(![X]:((wise(X)&~old(X))<=>(~quiet(X)&wise(X))))&
(![X]:((humble(X)&quiet(X))=>calm(X)))&
(((~quiet(lucy)|~creative(lucy)))=>((~patient(mary)&quiet(mary))))&
(![X]:(~wise(X)<=>~kind(X)))&
(![X]:((tall(X)<~>~curious(X))=>(calm(X)|~patient(X))))&
((hap... | wise(john) | [
"p4",
"p9",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1477144052163762919165964
% SZS output start Proof for 1477144052163762919165964
5. ! [X0] : (~wise(X0) <=> ~kind(X0)) [input p4]
10. ! [X0] : ((~patient(X0) & wise(X0)) <=> (strong(X0) | ~funny(X0))) [input p9]
13. ! [X0] : (patient(X0) <=> strong(X0)) [input p12]
16. ! [X0] : (quiet(X0)... | 0 |
Everyone who is both not curious and not creative is either rich or not happy and vice versa.
If john is both patient and not quiet then someone is both not funny and not brave and vice versa.
Everyone who is kind or quiet is not quiet or tall.
Everyone who is quiet is both not creative and not calm and vice versa.
If ... | Alice is not curious. | neutral | (![X]:((~curious(X)&~creative(X))<=>(rich(X)<~>~happy(X))))&
(((patient(john)&~quiet(john)))<=>(?[X]:((~funny(X)&~brave(X)))))&
(![X]:((kind(X)|quiet(X))=>(~quiet(X)|tall(X))))&
(![X]:(quiet(X)<=>(~creative(X)&~calm(X))))&
((~kind(alice))<=>((~kind(alice)&calm(alice))))&
(![X]:((~happy(X)&~patient(X))<=>(~kind(X)<~>~hu... | ~curious(alice) | [] | null | 0 |
If fred is patient or happy then alice is either not curious or humble.
Everyone who is either patient or not rich is happy and vice versa.
Everyone who is patient is either not humble or tall.
Everyone who is not patient is both curious and wise and vice versa.
Everyone who is rich or happy is happy.
Everyone who is q... | Alice is not brave. | contradiction | (((patient(fred)|happy(fred)))=>((~curious(alice)<~>humble(alice))))&
(![X]:((patient(X)<~>~rich(X))<=>happy(X)))&
(![X]:(patient(X)=>(~humble(X)<~>tall(X))))&
(![X]:(~patient(X)<=>(curious(X)&wise(X))))&
(![X]:((rich(X)|happy(X))=>happy(X)))&
(![X]:((quiet(X)|~kind(X))<=>old(X)))&
(![X]:((strong(X)&brave(X))=>(kind(X)... | ~brave(alice) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p10",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2794445777957921508769937
% SZS output start Proof for 2794445777957921508769937
1. (happy(fred) | patient(fred)) => (~curious(alice) <~> humble(alice)) [input p0]
3. ! [X0] : (patient(X0) => (~humble(X0) <~> tall(X0))) [input p2]
4. ! [X0] : (~patient(X0) <=> (wise(X0) & curious(X0))) [i... | 0 |
Everyone who is not creative is not strong or curious.
If someone is either not curious or strong then fred is not quiet.
If someone is either wise or curious then john is either rich or not happy and vice versa.
Everyone who is not humble or kind is not kind.
Everyone who is either not funny or strong is either brave ... | Paul is humble. | entailment | (![X]:(~creative(X)=>(~strong(X)|curious(X))))&
((?[X]:((~curious(X)<~>strong(X))))=>(~quiet(fred)))&
((?[X]:((wise(X)<~>curious(X))))<=>((rich(john)<~>~happy(john))))&
(![X]:((~humble(X)|kind(X))=>~kind(X)))&
(![X]:((~funny(X)<~>strong(X))=>(brave(X)<~>~funny(X))))&
(((wise(mary)<~>~kind(mary)))<=>((strong(fred)&curio... | humble(paul) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3063845147457338330196901
% SZS output start Proof for 3063845147457338330196901
4. ! [X0] : ((kind(X0) | ~humble(X0)) => ~kind(X0)) [input p3]
12. ? [X0] : (humble(X0) <~> ~kind(X0)) <=> (humble(paul) & curious(paul)) [input p11]
25. ~humble(paul) [input hypothesis]
32. ! [X0] : (~kind(X... | 0 |
Everyone who is both calm and not creative is not strong.
If susan is not creative or not tall then lucy is either not strong or not creative.
Everyone who is rich or not wise is both calm and not calm.
If someone is not wise then someone is quiet or humble and vice versa.
Everyone who is not tall is both wise and not ... | Lucy is rich. | contradiction | (![X]:((calm(X)&~creative(X))=>~strong(X)))&
(((~creative(susan)|~tall(susan)))=>((~strong(lucy)<~>~creative(lucy))))&
(![X]:((rich(X)|~wise(X))=>(calm(X)&~calm(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(~tall(X)=>(wise(X)&~wise(X))))&
((?[X]:((~funny(X)&~brave(X))))=>(?[X]:(~quiet(X))))&
(((hum... | rich(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5425790149612381710318950
% SZS output start Proof for 5425790149612381710318950
3. ! [X0] : ((~wise(X0) | rich(X0)) => (~calm(X0) & calm(X0))) [input p2]
22. rich(lucy) [input hypothesis]
29. ! [X0] : ((~calm(X0) & calm(X0)) | (wise(X0) & ~rich(X0))) [ennf transformation 3]
70. calm(X0) ... | 0 |
Everyone who is patient is tall. Everyone who is tall or patient is patient. Everyone who is calm is not patient or quiet. If someone is both not strong and rich then someone is not old and vice versa. Everyone who is either patient or kind is both strong and funny. If someone is kind or old then someone is either quie... | Paul is not calm. | neutral | (![X]:(patient(X)=>tall(X)))&
(![X]:((tall(X)|patient(X))=>patient(X)))&
(![X]:(calm(X)=>(~patient(X)|quiet(X))))&
((?[X]:((~strong(X)&rich(X))))<=>(?[X]:(~old(X))))&
(![X]:((patient(X)<~>kind(X))=>(strong(X)&funny(X))))&
((?[X]:((kind(X)|old(X))))<=>(?[X]:((quiet(X)<~>tall(X)))))&
((?[X]:((~strong(X)|generous(X))))<=>... | ~calm(paul) | [] | null | 0 |
Everyone who is both calm and patient is both brave and quiet.
If someone is both not kind and strong then mary is not patient and vice versa.
If paul is not kind or generous then someone is not quiet or not humble and vice versa.
If john is not wise or not rich then lucy is not quiet and vice versa.
Everyone who is bo... | Mary is tall. | contradiction | (![X]:((calm(X)&patient(X))=>(brave(X)&quiet(X))))&
((?[X]:((~kind(X)&strong(X))))<=>(~patient(mary)))&
(((~kind(paul)|generous(paul)))<=>(?[X]:((~quiet(X)|~humble(X)))))&
(((~wise(john)|~rich(john)))<=>(~quiet(lucy)))&
(![X]:((happy(X)&brave(X))=>(strong(X)&quiet(X))))&
((?[X]:(old(X)))<=>(?[X]:((~funny(X)&humble(X)))... | tall(mary) | [
"p7",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5360287713292840291821859
% SZS output start Proof for 5360287713292840291821859
8. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (curious(X0) | funny(X0))) [input p7]
14. ! [X0] : ((brave(X0) | old(X0)) => (~strong(X0) & rich(X0))) [input p13]
16. funny(mary) <=> ? [X0] : rich(X0) [input p15]... | 0 |
If alice is both not curious and not patient then susan is not happy.
Everyone who is not happy or not funny is either tall or not kind and vice versa.
Everyone who is not humble or generous is both not strong and patient.
If alice is calm or quiet then susan is either calm or tall and vice versa.
If someone is not cre... | Lucy is curious. | entailment | (((~curious(alice)&~patient(alice)))=>(~happy(susan)))&
(![X]:((~happy(X)|~funny(X))<=>(tall(X)<~>~kind(X))))&
(![X]:((~humble(X)|generous(X))=>(~strong(X)&patient(X))))&
(((calm(alice)|quiet(alice)))<=>((calm(susan)<~>tall(susan))))&
((?[X]:(~creative(X)))=>(rich(lucy)))&
((?[X]:(quiet(X)))=>(tall(mary)))&
((?[X]:((ca... | curious(lucy) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 187327848347902247822624
% SZS output start Proof for 187327848347902247822624
7. ? [X0] : (~brave(X0) | calm(X0)) => (~patient(john) & patient(john)) [input p6]
10. ! [X0] : (brave(X0) => (curious(X0) | calm(X0))) [input p9]
23. ~curious(lucy) [input hypothesis]
29. (~patient(john) & pat... | 0 |
Everyone who is wise is kind or creative and vice versa.
If john is not rich then someone is kind or wise.
If someone is not generous then someone is both strong and curious and vice versa.
Everyone who is tall or strong is either patient or curious.
If someone is patient then lucy is rich or not patient.
Everyone who ... | Lucy is not quiet. | entailment | (![X]:(wise(X)<=>(kind(X)|creative(X))))&
((~rich(john))=>(?[X]:((kind(X)|wise(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((strong(X)&curious(X)))))&
(![X]:((tall(X)|strong(X))=>(patient(X)<~>curious(X))))&
((?[X]:(patient(X)))=>((rich(lucy)|~patient(lucy))))&
(![X]:(~patient(X)<=>(curious(X)|wise(X))))&
(![X]:((~kind(X)&o... | ~quiet(lucy) | [
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1993568085694712202560411
% SZS output start Proof for 1993568085694712202560411
11. ! [X0] : ((brave(X0) & humble(X0)) <=> strong(X0)) [input p10]
12. ! [X0] : ((~wise(X0) | quiet(X0)) => (old(X0) & strong(X0))) [input p11]
16. ! [X0] : ((~generous(X0) | quiet(X0)) => ~brave(X0)) [input ... | 0 |
Everyone who is either not generous or not quiet is not old or not curious. Everyone who is either creative or rich is not rich and vice versa. If lucy is rich then alice is both not old and not funny. If someone is not old or not wise then lucy is kind. Everyone who is not wise or brave is both not generous and not cu... | Mary is not quiet. | contradiction | (![X]:((~generous(X)<~>~quiet(X))=>(~old(X)|~curious(X))))&
(![X]:((creative(X)<~>rich(X))<=>~rich(X)))&
((rich(lucy))=>((~old(alice)&~funny(alice))))&
((?[X]:((~old(X)|~wise(X))))=>(kind(lucy)))&
(![X]:((~wise(X)|brave(X))=>(~generous(X)&~curious(X))))&
(((strong(lucy)&tall(lucy)))<=>(?[X]:((~strong(X)<~>~brave(X)))))... | ~quiet(mary) | [
"p5",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2642825171462896532808922
% SZS output start Proof for 2642825171462896532808922
6. (tall(lucy) & strong(lucy)) <=> ? [X0] : (~strong(X0) <~> ~brave(X0)) [input p5]
9. ! [X0] : (brave(X0) <=> (strong(X0) <~> ~quiet(X0))) [input p8]
23. ~brave(lucy) <~> ~quiet(lucy) [input p22]
25. ~quiet(... | 0 |
Everyone who is not creative is either funny or quiet and vice versa.
Everyone who is not brave or wise is both not calm and calm.
Everyone who is funny is either quiet or not kind and vice versa.
If someone is both not old and not calm then someone is both not wise and not brave.
If someone is happy then someone is no... | John is not calm. | contradiction | (![X]:(~creative(X)<=>(funny(X)<~>quiet(X))))&
(![X]:((~brave(X)|wise(X))=>(~calm(X)&calm(X))))&
(![X]:(funny(X)<=>(quiet(X)<~>~kind(X))))&
((?[X]:((~old(X)&~calm(X))))=>(?[X]:((~wise(X)&~brave(X)))))&
((?[X]:(happy(X)))<=>(?[X]:(~brave(X))))&
(![X]:((~generous(X)&curious(X))=>(~tall(X)&patient(X))))&
(![X]:(~generous(... | ~calm(john) | [
"p1",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 435408406402445669727989
% SZS output start Proof for 435408406402445669727989
2. ! [X0] : ((wise(X0) | ~brave(X0)) => (calm(X0) & ~calm(X0))) [input p1]
4. ? [X0] : (~calm(X0) & ~old(X0)) => ? [X0] : (~brave(X0) & ~wise(X0)) [input p3]
5. ? [X0] : happy(X0) <=> ? [X0] : ~brave(X0) [input... | 0 |
Everyone who is creative or not quiet is either generous or not creative and vice versa. If someone is not wise then alice is not patient and vice versa. If someone is not creative then someone is both brave and not old. Everyone who is quiet is curious. If mary is both strong and not curious then someone is not humble... | Mary is not humble. | entailment | (![X]:((creative(X)|~quiet(X))<=>(generous(X)<~>~creative(X))))&
((?[X]:(~wise(X)))<=>(~patient(alice)))&
((?[X]:(~creative(X)))=>(?[X]:((brave(X)&~old(X)))))&
(![X]:(quiet(X)=>curious(X)))&
(((strong(mary)&~curious(mary)))<=>(?[X]:((~humble(X)|~brave(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(~patient(X)&~creative(X))))&... | ~humble(mary) | [
"p4",
"p5",
"p6",
"p9",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4039477387570353460852716
% SZS output start Proof for 4039477387570353460852716
5. (~curious(mary) & strong(mary)) <=> ? [X0] : (~brave(X0) | ~humble(X0)) [input p4]
6. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> (~creative(X0) & ~patient(X0))) [input p5]
7. ! [X0] : (brave(X0) <=> (calm(X0)... | 0 |
Everyone who is both funny and not funny is either not patient or not tall and vice versa. Everyone who is calm or rich is not rich and vice versa. Everyone who is creative is humble and vice versa. Everyone who is wise or old is either not wise or not kind. Everyone who is not rich or not funny is either quiet or crea... | Lucy is strong. | neutral | (![X]:((funny(X)&~funny(X))<=>(~patient(X)<~>~tall(X))))&
(![X]:((calm(X)|rich(X))<=>~rich(X)))&
(![X]:(creative(X)<=>humble(X)))&
(![X]:((wise(X)|old(X))=>(~wise(X)<~>~kind(X))))&
(![X]:((~rich(X)|~funny(X))<=>(quiet(X)<~>creative(X))))&
(![X]:((happy(X)|~wise(X))=>calm(X)))&
((?[X]:((curious(X)&~kind(X))))<=>((~kind(... | strong(lucy) | [] | null | 0 |
If susan is not quiet or not generous then someone is both patient and not curious.
Everyone who is either not calm or not happy is either not old or not wise and vice versa.
If paul is curious or not creative then paul is both not funny and not old and vice versa.
Everyone who is not brave is brave or not tall.
Everyo... | Paul is old. | contradiction | (((~quiet(susan)|~generous(susan)))=>(?[X]:((patient(X)&~curious(X)))))&
(![X]:((~calm(X)<~>~happy(X))<=>(~old(X)<~>~wise(X))))&
(((curious(paul)|~creative(paul)))<=>((~funny(paul)&~old(paul))))&
(![X]:(~brave(X)=>(brave(X)|~tall(X))))&
(![X]:((~curious(X)&happy(X))<=>~tall(X)))&
((?[X]:((~brave(X)&~wise(X))))<=>(?[X]:... | old(paul) | [
"p3",
"p4",
"p5",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 892334791118912899667271
% SZS output start Proof for 892334791118912899667271
4. ! [X0] : (~brave(X0) => (~tall(X0) | brave(X0))) [input p3]
5. ! [X0] : ((happy(X0) & ~curious(X0)) <=> ~tall(X0)) [input p4]
6. ? [X0] : (~wise(X0) & ~brave(X0)) <=> ? [X0] : (~tall(X0) & ~wise(X0)) [input ... | 0 |
Everyone who is humble or generous is not old and vice versa. If someone is not wise or not creative then john is patient and vice versa. Everyone who is not kind or not patient is either not generous or not wise and vice versa. If john is both rich and not brave then someone is not generous. Everyone who is not humble... | Mary is not patient. | contradiction | (![X]:((humble(X)|generous(X))<=>~old(X)))&
((?[X]:((~wise(X)|~creative(X))))<=>(patient(john)))&
(![X]:((~kind(X)|~patient(X))<=>(~generous(X)<~>~wise(X))))&
(((rich(john)&~brave(john)))=>(?[X]:(~generous(X))))&
(![X]:((~humble(X)|~brave(X))<=>~kind(X)))&
(((~curious(fred)&~quiet(fred)))<=>((wise(john)&rich(john))))&
... | ~patient(mary) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3387781990865401536444195
% SZS output start Proof for 3387781990865401536444195
24. patient(mary) & ~strong(mary) [input p23]
25. ~patient(mary) [input hypothesis]
149. patient(mary) [cnf transformation 24]
150. ~patient(mary) [cnf transformation 25]
338. $false [subsumption resolution 1... | 0 |
Everyone who is both not wise and old is humble. If someone is both not tall and not curious then someone is not brave. If susan is old or generous then someone is both old and not rich. Everyone who is not patient is not quiet or humble and vice versa. Everyone who is not funny is calm or kind. Everyone who is not pat... | Lucy is not creative. | entailment | (![X]:((~wise(X)&old(X))=>humble(X)))&
((?[X]:((~tall(X)&~curious(X))))=>(?[X]:(~brave(X))))&
(((old(susan)|generous(susan)))=>(?[X]:((old(X)&~rich(X)))))&
(![X]:(~patient(X)<=>(~quiet(X)|humble(X))))&
(![X]:(~funny(X)=>(calm(X)|kind(X))))&
(![X]:(~patient(X)=>(funny(X)<~>creative(X))))&
(![X]:((~brave(X)|~kind(X))<=>g... | ~creative(lucy) | [
"p4",
"p6",
"p8",
"p10",
"p12",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5899197968801762360898761
% SZS output start Proof for 5899197968801762360898761
5. ! [X0] : (~funny(X0) => (kind(X0) | calm(X0))) [input p4]
7. ! [X0] : ((~kind(X0) | ~brave(X0)) <=> generous(X0)) [input p6]
9. ! [X0] : ((generous(X0) | ~wise(X0)) <=> (~brave(X0) & wise(X0))) [input p8]
... | 0 |
If john is not calm or not quiet then lucy is tall or generous. Everyone who is either not humble or not old is both not quiet and rich. Everyone who is either not tall or not creative is not tall or brave and vice versa. If john is either patient or kind then john is not kind. If fred is calm then susan is both not fu... | Mary is not calm. | entailment | (((~calm(john)|~quiet(john)))=>((tall(lucy)|generous(lucy))))&
(![X]:((~humble(X)<~>~old(X))=>(~quiet(X)&rich(X))))&
(![X]:((~tall(X)<~>~creative(X))<=>(~tall(X)|brave(X))))&
(((patient(john)<~>kind(john)))=>(~kind(john)))&
((calm(fred))=>((~funny(susan)&kind(susan))))&
(![X]:((kind(X)&wise(X))<=>~calm(X)))&
(![X]:(pat... | ~calm(mary) | [
"p2",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4913383551376933616293501
% SZS output start Proof for 4913383551376933616293501
3. ! [X0] : ((~tall(X0) <~> ~creative(X0)) <=> (brave(X0) | ~tall(X0))) [input p2]
7. ! [X0] : (patient(X0) => ~patient(X0)) [input p6]
8. ! [X0] : (~curious(X0) => wise(X0)) [input p7]
9. ? [X0] : patient(X0... | 0 |
Everyone who is not quiet is brave or funny.
Everyone who is either creative or not funny is either not generous or not calm.
Everyone who is not creative is humble and vice versa.
Everyone who is not creative is rich or funny and vice versa.
Everyone who is not humble or not funny is both tall and not funny and vice v... | Lucy is brave. | neutral | (![X]:(~quiet(X)=>(brave(X)|funny(X))))&
(![X]:((creative(X)<~>~funny(X))=>(~generous(X)<~>~calm(X))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:(~creative(X)<=>(rich(X)|funny(X))))&
(![X]:((~humble(X)|~funny(X))<=>(tall(X)&~funny(X))))&
(![X]:((~generous(X)<~>humble(X))<=>(~kind(X)&~tall(X))))&
((?[X]:((kind(X)|~creat... | brave(lucy) | [] | null | 0 |
If john is not quiet then john is either not old or brave and vice versa. If someone is both kind and patient then someone is not funny or wise and vice versa. Everyone who is not strong is both not old and patient and vice versa. Everyone who is not strong is calm and vice versa. If alice is both not brave and not tal... | Mary is calm. | contradiction | ((~quiet(john))<=>((~old(john)<~>brave(john))))&
((?[X]:((kind(X)&patient(X))))<=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:(~strong(X)<=>(~old(X)&patient(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(((~brave(alice)&~tall(alice)))=>(?[X]:((creative(X)|brave(X)))))&
(![X]:((humble(X)<~>generous(X))=>old(X)))&
(((old(john)&~calm(jo... | calm(mary) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2595637204021357882979072
% SZS output start Proof for 2595637204021357882979072
4. ! [X0] : (~strong(X0) <=> calm(X0)) [input p3]
9. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (brave(X0) & calm(X0))) [input p8]
23. calm(mary) [input hypothesis]
43. ! [X0] : ((~strong(X0) | ~calm(X0)) & (c... | 0 |
If susan is not kind or patient then someone is both not generous and not quiet and vice versa. If someone is strong or not patient then someone is not funny and vice versa. Everyone who is happy is patient or not calm and vice versa. If fred is either not brave or not funny then paul is both patient and not creative a... | Fred is not quiet. | contradiction | (((~kind(susan)|patient(susan)))<=>(?[X]:((~generous(X)&~quiet(X)))))&
((?[X]:((strong(X)|~patient(X))))<=>(?[X]:(~funny(X))))&
(![X]:(happy(X)<=>(patient(X)|~calm(X))))&
(((~brave(fred)<~>~funny(fred)))<=>((patient(paul)&~creative(paul))))&
((wise(susan))=>(?[X]:(strong(X))))&
((?[X]:((~generous(X)&~creative(X))))=>((... | ~quiet(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6484309739265084654542979
% SZS output start Proof for 6484309739265084654542979
11. ? [X0] : (strong(X0) | ~quiet(X0)) => ? [X0] : (~kind(X0) & kind(X0)) [input p10]
21. ~quiet(fred) [input hypothesis]
24. ? [X0] : (strong(X0) | ~quiet(X0)) => ? [X1] : (~kind(X1) & kind(X1)) [rectify 11]... | 0 |
If lucy is either not tall or tall then alice is not kind and vice versa.
If someone is not quiet then someone is not old or not quiet.
Everyone who is either not generous or not wise is either curious or brave and vice versa.
Everyone who is not quiet or not kind is both not brave and not creative.
Everyone who is bot... | Paul is not old. | neutral | (((~tall(lucy)<~>tall(lucy)))<=>(~kind(alice)))&
((?[X]:(~quiet(X)))=>(?[X]:((~old(X)|~quiet(X)))))&
(![X]:((~generous(X)<~>~wise(X))<=>(curious(X)<~>brave(X))))&
(![X]:((~quiet(X)|~kind(X))=>(~brave(X)&~creative(X))))&
(![X]:((funny(X)&old(X))=>humble(X)))&
((?[X]:((patient(X)&~quiet(X))))<=>(?[X]:((humble(X)<~>~gener... | ~old(paul) | [] | null | 0 |
If mary is either not wise or humble then someone is both not old and not generous.
If someone is both generous and not funny then mary is both not curious and not funny.
Everyone who is funny or not tall is both rich and strong.
Everyone who is both curious and creative is old and vice versa.
Everyone who is either cr... | Lucy is generous. | entailment | (((~wise(mary)<~>humble(mary)))=>(?[X]:((~old(X)&~generous(X)))))&
((?[X]:((generous(X)&~funny(X))))=>((~curious(mary)&~funny(mary))))&
(![X]:((funny(X)|~tall(X))=>(rich(X)&strong(X))))&
(![X]:((curious(X)&creative(X))<=>old(X)))&
(![X]:((creative(X)<~>~curious(X))<=>~brave(X)))&
(![X]:((strong(X)&tall(X))=>~funny(X)))... | generous(lucy) | [
"p7",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2503550286981178363958385
% SZS output start Proof for 2503550286981178363958385
8. ! [X0] : ((creative(X0) | calm(X0)) => (rich(X0) & brave(X0))) [input p7]
16. ! [X0] : (generous(X0) <=> (creative(X0) <~> ~rich(X0))) [input p15]
22. creative(lucy) & ~curious(lucy) [input p21]
25. ~gener... | 0 |
Everyone who is kind is not generous.
Everyone who is humble or curious is kind.
Everyone who is both creative and not patient is either not happy or calm.
If someone is both not tall and creative then someone is strong or old.
Everyone who is both not creative and tall is not happy and vice versa.
If alice is not curi... | Alice is curious. | neutral | (![X]:(kind(X)=>~generous(X)))&
(![X]:((humble(X)|curious(X))=>kind(X)))&
(![X]:((creative(X)&~patient(X))=>(~happy(X)<~>calm(X))))&
((?[X]:((~tall(X)&creative(X))))=>(?[X]:((strong(X)|old(X)))))&
(![X]:((~creative(X)&tall(X))<=>~happy(X)))&
(((~curious(alice)|~brave(alice)))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X... | curious(alice) | [] | null | 0 |
If john is humble or funny then someone is patient and vice versa.
If fred is funny or not old then someone is old and vice versa.
Everyone who is not calm is happy or not humble.
Everyone who is either rich or not tall is not funny and vice versa.
Everyone who is either not rich or old is not calm or not happy and vic... | Fred is not creative. | neutral | (((humble(john)|funny(john)))<=>(?[X]:(patient(X))))&
(((funny(fred)|~old(fred)))<=>(?[X]:(old(X))))&
(![X]:(~calm(X)=>(happy(X)|~humble(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~funny(X)))&
(![X]:((~rich(X)<~>old(X))<=>(~calm(X)|~happy(X))))&
(![X]:((~calm(X)<~>~old(X))=>(~kind(X)&curious(X))))&
(![X]:((~generous(X)&~kind... | ~creative(fred) | [] | null | 0 |
Everyone who is not old is both wise and not wise.
If john is not calm then mary is humble.
Everyone who is either not rich or calm is either not funny or quiet.
Everyone who is both not generous and tall is brave and vice versa.
If lucy is not happy or funny then john is both humble and happy and vice versa.
Everyone ... | Paul is old. | entailment | (![X]:(~old(X)=>(wise(X)&~wise(X))))&
((~calm(john))=>(humble(mary)))&
(![X]:((~rich(X)<~>calm(X))=>(~funny(X)<~>quiet(X))))&
(![X]:((~generous(X)&tall(X))<=>brave(X)))&
(((~happy(lucy)|funny(lucy)))<=>((humble(john)&happy(john))))&
(![X]:((funny(X)&brave(X))<=>(curious(X)<~>generous(X))))&
(![X]:((strong(X)<~>~old(X))... | old(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4836434806102090149504439
% SZS output start Proof for 4836434806102090149504439
1. ! [X0] : (~old(X0) => (~wise(X0) & wise(X0))) [input p0]
25. ~old(paul) [input hypothesis]
27. ! [X0] : ((~wise(X0) & wise(X0)) | old(X0)) [ennf transformation 1]
81. wise(X0) | old(X0) [cnf transformation... | 0 |
If lucy is both not happy and not old then john is funny or patient and vice versa.
If someone is either generous or not old then someone is not generous and vice versa.
Everyone who is either not generous or quiet is not wise or not kind and vice versa.
Everyone who is not funny is both not tall and brave.
Everyone wh... | Mary is humble. | neutral | (((~happy(lucy)&~old(lucy)))<=>((funny(john)|patient(john))))&
((?[X]:((generous(X)<~>~old(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~generous(X)<~>quiet(X))<=>(~wise(X)|~kind(X))))&
(![X]:(~funny(X)=>(~tall(X)&brave(X))))&
(![X]:((strong(X)&~generous(X))<=>(calm(X)|~old(X))))&
(![X]:((brave(X)|~rich(X))=>(generous(X)|ol... | humble(mary) | [] | null | 0 |
If someone is not funny or not generous then someone is both not rich and calm.
Everyone who is kind is both curious and not rich.
If someone is both not calm and creative then fred is not humble or brave.
Everyone who is not calm is funny or creative.
Everyone who is happy is either not humble or rich.
Everyone who is... | Mary is quiet. | contradiction | ((?[X]:((~funny(X)|~generous(X))))=>(?[X]:((~rich(X)&calm(X)))))&
(![X]:(kind(X)=>(curious(X)&~rich(X))))&
((?[X]:((~calm(X)&creative(X))))=>((~humble(fred)|brave(fred))))&
(![X]:(~calm(X)=>(funny(X)|creative(X))))&
(![X]:(happy(X)=>(~humble(X)<~>rich(X))))&
(![X]:(~wise(X)<=>(~creative(X)&old(X))))&
((?[X]:((funny(X)&... | quiet(mary) | [
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3532676266608155749680734
% SZS output start Proof for 3532676266608155749680734
10. ! [X0] : ((~strong(X0) | calm(X0)) <=> tall(X0)) [input p9]
13. ! [X0] : ((quiet(X0) | ~calm(X0)) <=> (~calm(X0) & ~strong(X0))) [input p12]
17. ~calm(mary) <~> tall(mary) [input p16]
19. quiet(mary) [inp... | 0 |
Everyone who is either old or happy is either not kind or not calm and vice versa.
Everyone who is both not tall and curious is either not brave or old and vice versa.
If someone is not calm then someone is not tall or wise and vice versa.
If john is rich then john is either brave or not quiet.
Everyone who is either n... | John is brave. | neutral | (![X]:((old(X)<~>happy(X))<=>(~kind(X)<~>~calm(X))))&
(![X]:((~tall(X)&curious(X))<=>(~brave(X)<~>old(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~tall(X)|wise(X)))))&
((rich(john))=>((brave(john)<~>~quiet(john))))&
(![X]:((~kind(X)<~>~wise(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((~patient(X)&~wise(X))=>(~funny(X)|rich(X))))&
(!... | brave(john) | [] | null | 0 |
Everyone who is old or creative is not humble.
If someone is either funny or strong then paul is not strong or not funny and vice versa.
Everyone who is tall or not tall is brave.
Everyone who is not happy is not kind.
Everyone who is both not calm and curious is both wise and tall.
If someone is both generous and not ... | Fred is not strong. | entailment | (![X]:((old(X)|creative(X))=>~humble(X)))&
((?[X]:((funny(X)<~>strong(X))))<=>((~strong(paul)|~funny(paul))))&
(![X]:((tall(X)|~tall(X))=>brave(X)))&
(![X]:(~happy(X)=>~kind(X)))&
(![X]:((~calm(X)&curious(X))=>(wise(X)&tall(X))))&
((?[X]:((generous(X)&~happy(X))))=>(?[X]:(~strong(X))))&
(((~happy(john)&happy(john)))=>(... | ~strong(fred) | [
"p4",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 878682216276406728800433
% SZS output start Proof for 878682216276406728800433
5. ! [X0] : ((curious(X0) & ~calm(X0)) => (tall(X0) & wise(X0))) [input p4]
13. ! [X0] : ((~patient(X0) | calm(X0)) => ~calm(X0)) [input p12]
14. ! [X0] : ((curious(X0) <~> calm(X0)) => (~tall(X0) & ~funny(X0))... | 0 |
Everyone who is calm or rich is both patient and not patient and vice versa.
If someone is generous or not strong then fred is both not rich and not happy.
Everyone who is either not generous or calm is either strong or quiet and vice versa.
Everyone who is happy is both quiet and not funny and vice versa.
If someone i... | Alice is brave. | entailment | (![X]:((calm(X)|rich(X))<=>(patient(X)&~patient(X))))&
((?[X]:((generous(X)|~strong(X))))=>((~rich(fred)&~happy(fred))))&
(![X]:((~generous(X)<~>calm(X))<=>(strong(X)<~>quiet(X))))&
(![X]:(happy(X)<=>(quiet(X)&~funny(X))))&
((?[X]:(creative(X)))<=>(?[X]:((rich(X)&creative(X)))))&
(![X]:((~kind(X)|~curious(X))<=>~quiet(... | brave(alice) | [
"p0",
"p2",
"p3",
"p6",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2215748215359940816558397
% SZS output start Proof for 2215748215359940816558397
1. ! [X0] : ((rich(X0) | calm(X0)) <=> (~patient(X0) & patient(X0))) [input p0]
3. ! [X0] : ((~generous(X0) <~> calm(X0)) <=> (strong(X0) <~> quiet(X0))) [input p2]
4. ! [X0] : (happy(X0) <=> (~funny(X0) & qu... | 0 |
Everyone who is both not old and not patient is either funny or tall and vice versa.
Everyone who is both kind and not happy is both not brave and not humble and vice versa.
If someone is calm then someone is both not creative and patient and vice versa.
Everyone who is either not calm or calm is tall or not rich.
Ever... | Mary is creative. | contradiction | (![X]:((~old(X)&~patient(X))<=>(funny(X)<~>tall(X))))&
(![X]:((kind(X)&~happy(X))<=>(~brave(X)&~humble(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~creative(X)&patient(X)))))&
(![X]:((~calm(X)<~>calm(X))=>(tall(X)|~rich(X))))&
(![X]:((~calm(X)|generous(X))=>(~patient(X)|brave(X))))&
(![X]:((~kind(X)&patient(X))<=>(~creative(X)<... | creative(mary) | [
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1561540580687793302211073
% SZS output start Proof for 1561540580687793302211073
6. ! [X0] : ((patient(X0) & ~kind(X0)) <=> (~creative(X0) <~> ~calm(X0))) [input p5]
10. ! [X0] : ((~wise(X0) | ~kind(X0)) <=> ~creative(X0)) [input p9]
12. ? [X0] : wise(X0) => (~calm(mary) | ~creative(mary)... | 0 |
If someone is tall then mary is either not curious or humble.
Everyone who is both not tall and kind is wise.
If someone is both quiet and funny then mary is either not wise or not strong.
If someone is kind or not old then mary is either creative or brave and vice versa.
Everyone who is not kind is both creative and n... | Fred is not patient. | entailment | ((?[X]:(tall(X)))=>((~curious(mary)<~>humble(mary))))&
(![X]:((~tall(X)&kind(X))=>wise(X)))&
((?[X]:((quiet(X)&funny(X))))=>((~wise(mary)<~>~strong(mary))))&
((?[X]:((kind(X)|~old(X))))<=>((creative(mary)<~>brave(mary))))&
(![X]:(~kind(X)=>(creative(X)&~creative(X))))&
(![X]:((creative(X)|tall(X))=>(happy(X)&~generous(... | ~patient(fred) | [
"p1",
"p4",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7423237933087858261475185
% SZS output start Proof for 7423237933087858261475185
2. ! [X0] : ((kind(X0) & ~tall(X0)) => wise(X0)) [input p1]
5. ! [X0] : (~kind(X0) => (~creative(X0) & creative(X0))) [input p4]
6. ! [X0] : ((tall(X0) | creative(X0)) => (~generous(X0) & happy(X0))) [input p... | 0 |
If someone is not patient or not calm then someone is either humble or old. If john is both not rich and not kind then fred is not creative. Everyone who is not creative or not quiet is both not strong and not quiet and vice versa. Everyone who is both kind and not strong is strong. Everyone who is not old or not humbl... | Fred is not wise. | contradiction | ((?[X]:((~patient(X)|~calm(X))))=>(?[X]:((humble(X)<~>old(X)))))&
(((~rich(john)&~kind(john)))=>(~creative(fred)))&
(![X]:((~creative(X)|~quiet(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((kind(X)&~strong(X))=>strong(X)))&
(![X]:((~old(X)|~humble(X))<=>(quiet(X)&curious(X))))&
(![X]:((rich(X)&~kind(X))<=>strong(X)))&
(![X]:... | ~wise(fred) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2049395737565256519498926
% SZS output start Proof for 2049395737565256519498926
3. ! [X0] : ((~quiet(X0) | ~creative(X0)) <=> (~quiet(X0) & ~strong(X0))) [input p2]
4. ! [X0] : ((~strong(X0) & kind(X0)) => strong(X0)) [input p3]
5. ! [X0] : ((~humble(X0) | ~old(X0)) <=> (curious(X0) & qu... | 0 |
Everyone who is not quiet or not brave is wise or not strong. If someone is both not generous and not rich then someone is both humble and calm and vice versa. If someone is not happy then someone is both brave and not rich and vice versa. If john is creative then paul is creative. If someone is creative or not curious... | Mary is strong. | entailment | (![X]:((~quiet(X)|~brave(X))=>(wise(X)|~strong(X))))&
((?[X]:((~generous(X)&~rich(X))))<=>(?[X]:((humble(X)&calm(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((brave(X)&~rich(X)))))&
((creative(john))=>(creative(paul)))&
((?[X]:((creative(X)|~curious(X))))<=>(~brave(lucy)))&
(((brave(paul)<~>happy(paul)))<=>(?[X]:((~creative(X)... | strong(mary) | [
"p7",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2285050839785427770150459
% SZS output start Proof for 2285050839785427770150459
8. ! [X0] : (~strong(X0) => (~happy(X0) & quiet(X0))) [input p7]
11. ! [X0] : (~quiet(X0) <=> (funny(X0) | tall(X0))) [input p10]
18. tall(mary) & rich(mary) [input p17]
22. ~strong(mary) [input hypothesis]
2... | 0 |
Everyone who is not funny is not patient or not creative and vice versa.
Everyone who is not brave or not kind is strong.
If fred is not happy then someone is either creative or not old.
Everyone who is either funny or wise is both not funny and happy.
Everyone who is either old or funny is either generous or not brave... | Paul is not wise. | neutral | (![X]:(~funny(X)<=>(~patient(X)|~creative(X))))&
(![X]:((~brave(X)|~kind(X))=>strong(X)))&
((~happy(fred))=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:((funny(X)<~>wise(X))=>(~funny(X)&happy(X))))&
(![X]:((old(X)<~>funny(X))=>(generous(X)<~>~brave(X))))&
(![X]:(calm(X)<=>(kind(X)|happy(X))))&
(![X]:((~brave(X)&creative(X... | ~wise(paul) | [] | null | 0 |
If someone is kind or not creative then mary is either wise or old and vice versa.
If paul is both not quiet and not rich then paul is creative and vice versa.
If mary is rich then someone is not curious.
Everyone who is both generous and not patient is not quiet and vice versa.
Everyone who is not quiet or curious is ... | Paul is rich. | neutral | ((?[X]:((kind(X)|~creative(X))))<=>((wise(mary)<~>old(mary))))&
(((~quiet(paul)&~rich(paul)))<=>(creative(paul)))&
((rich(mary))=>(?[X]:(~curious(X))))&
(![X]:((generous(X)&~patient(X))<=>~quiet(X)))&
(![X]:((~quiet(X)|curious(X))=>(creative(X)|~calm(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(generous(X)|creative(X)... | rich(paul) | [] | null | 0 |
Everyone who is funny or not strong is not happy or not creative and vice versa.
If someone is both kind and old then someone is both happy and old.
Everyone who is not rich is strong and vice versa.
If someone is wise then someone is either tall or not calm and vice versa.
Everyone who is kind is both not wise and cal... | Mary is not brave. | entailment | (![X]:((funny(X)|~strong(X))<=>(~happy(X)|~creative(X))))&
((?[X]:((kind(X)&old(X))))=>(?[X]:((happy(X)&old(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
((?[X]:(wise(X)))<=>(?[X]:((tall(X)<~>~calm(X)))))&
(![X]:(kind(X)<=>(~wise(X)&calm(X))))&
(![X]:((~happy(X)&~wise(X))<=>(~quiet(X)&tall(X))))&
(![X]:((~brave(X)<~>~old(X))=... | ~brave(mary) | [
"p2",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7116212096173579704404997
% SZS output start Proof for 7116212096173579704404997
3. ! [X0] : (~rich(X0) <=> strong(X0)) [input p2]
7. ! [X0] : ((~brave(X0) <~> ~old(X0)) => (wise(X0) & quiet(X0))) [input p6]
9. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> (old(X0) | quiet(X0))) [input p8]
14... | 0 |
Everyone who is wise is either not kind or quiet. If alice is both kind and wise then someone is not rich or old and vice versa. Everyone who is not generous or tall is not wise or curious. If someone is both not kind and wise then someone is wise or not generous and vice versa. Everyone who is not kind is both not gen... | Lucy is generous. | contradiction | (![X]:(wise(X)=>(~kind(X)<~>quiet(X))))&
(((kind(alice)&wise(alice)))<=>(?[X]:((~rich(X)|old(X)))))&
(![X]:((~generous(X)|tall(X))=>(~wise(X)|curious(X))))&
((?[X]:((~kind(X)&wise(X))))<=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:(~kind(X)=>(~generous(X)&strong(X))))&
(((funny(fred)&~brave(fred)))=>(?[X]:((~happy(X)<~>cr... | generous(lucy) | [
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3541741135143665657240880
% SZS output start Proof for 3541741135143665657240880
5. ! [X0] : (~kind(X0) => (strong(X0) & ~generous(X0))) [input p4]
9. ! [X0] : ((creative(X0) & kind(X0)) <=> kind(X0)) [input p8]
15. ! [X0] : (~creative(X0) <=> (~creative(X0) <~> creative(X0))) [input p14]... | 0 |
Everyone who is both kind and not brave is not quiet and vice versa.
Everyone who is either not funny or not curious is not funny or rich.
Everyone who is both not tall and not old is strong and vice versa.
If someone is humble then someone is humble or happy and vice versa.
Everyone who is not curious is either calm o... | Paul is not tall. | contradiction | (![X]:((kind(X)&~brave(X))<=>~quiet(X)))&
(![X]:((~funny(X)<~>~curious(X))=>(~funny(X)|rich(X))))&
(![X]:((~tall(X)&~old(X))<=>strong(X)))&
((?[X]:(humble(X)))<=>(?[X]:((humble(X)|happy(X)))))&
(![X]:(~curious(X)<=>(calm(X)<~>~calm(X))))&
(((~quiet(paul)<~>quiet(paul)))=>((~rich(paul)&humble(paul))))&
(![X]:(funny(X)<=... | ~tall(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6268013075016182997934458
% SZS output start Proof for 6268013075016182997934458
10. ! [X0] : (tall(X0) <=> (~tall(X0) | ~calm(X0))) [input p9]
21. ~tall(paul) [input hypothesis]
48. ! [X0] : ((tall(X0) | (tall(X0) & calm(X0))) & ((~tall(X0) | ~calm(X0)) | ~tall(X0))) [nnf transformation ... | 0 |
Everyone who is not calm is both patient and creative and vice versa.
Everyone who is both not tall and not kind is not happy or not quiet and vice versa.
Everyone who is not brave is either tall or creative.
Everyone who is not generous is either not old or funny and vice versa.
Everyone who is both old and not tall i... | John is patient. | entailment | (![X]:(~calm(X)<=>(patient(X)&creative(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~happy(X)|~quiet(X))))&
(![X]:(~brave(X)=>(tall(X)<~>creative(X))))&
(![X]:(~generous(X)<=>(~old(X)<~>funny(X))))&
(![X]:((old(X)&~tall(X))=>(creative(X)&patient(X))))&
((?[X]:(humble(X)))=>((~creative(susan)<~>~happy(susan))))&
(((~patient(joh... | patient(john) | [
"p0",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2430214717254073918663038
% SZS output start Proof for 2430214717254073918663038
1. ! [X0] : (~calm(X0) <=> (creative(X0) & patient(X0))) [input p0]
7. (~patient(john) <~> calm(john)) <=> ? [X0] : old(X0) [input p6]
9. ! [X0] : ((~old(X0) | kind(X0)) <=> (calm(X0) & strong(X0))) [input p8... | 0 |
If someone is curious or not kind then someone is not funny or not tall and vice versa. If mary is not quiet or not funny then someone is not quiet or quiet and vice versa. If someone is not brave then someone is either generous or calm and vice versa. Everyone who is either rich or old is both calm and not quiet and v... | John is curious. | contradiction | ((?[X]:((curious(X)|~kind(X))))<=>(?[X]:((~funny(X)|~tall(X)))))&
(((~quiet(mary)|~funny(mary)))<=>(?[X]:((~quiet(X)|quiet(X)))))&
((?[X]:(~brave(X)))<=>(?[X]:((generous(X)<~>calm(X)))))&
(![X]:((rich(X)<~>old(X))<=>(calm(X)&~quiet(X))))&
((?[X]:((old(X)&~old(X))))<=>((~old(fred)&~wise(fred))))&
(![X]:(funny(X)=>~quiet... | curious(john) | [
"p8",
"p9",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3763883490252023915967211
% SZS output start Proof for 3763883490252023915967211
9. ! [X0] : ((quiet(X0) | kind(X0)) => (~brave(X0) & ~old(X0))) [input p8]
10. ? [X0] : (~old(X0) <~> brave(X0)) <=> ~wise(alice) [input p9]
11. ? [X0] : ~wise(X0) <=> ~curious(john) [input p10]
23. patient(l... | 0 |
If alice is either tall or humble then susan is not strong and vice versa. Everyone who is not strong is both not old and funny. Everyone who is either strong or funny is either generous or strong. Everyone who is not calm is old and vice versa. If someone is either not happy or not patient then lucy is both kind and n... | Fred is not humble. | neutral | (((tall(alice)<~>humble(alice)))<=>(~strong(susan)))&
(![X]:(~strong(X)=>(~old(X)&funny(X))))&
(![X]:((strong(X)<~>funny(X))=>(generous(X)<~>strong(X))))&
(![X]:(~calm(X)<=>old(X)))&
((?[X]:((~happy(X)<~>~patient(X))))<=>((kind(lucy)&~quiet(lucy))))&
(![X]:((~rich(X)<~>~tall(X))=>(quiet(X)|~kind(X))))&
((?[X]:((~tall(X... | ~humble(fred) | [] | null | 0 |
If someone is not calm or not strong then someone is both old and not kind.
Everyone who is not kind is either not creative or patient.
If paul is not patient or not funny then someone is both not curious and not quiet and vice versa.
Everyone who is either humble or not curious is either not tall or not wise.
Everyone... | Fred is funny. | neutral | ((?[X]:((~calm(X)|~strong(X))))=>(?[X]:((old(X)&~kind(X)))))&
(![X]:(~kind(X)=>(~creative(X)<~>patient(X))))&
(((~patient(paul)|~funny(paul)))<=>(?[X]:((~curious(X)&~quiet(X)))))&
(![X]:((humble(X)<~>~curious(X))=>(~tall(X)<~>~wise(X))))&
(![X]:(tall(X)<=>(patient(X)<~>strong(X))))&
(![X]:((happy(X)&~calm(X))=>(strong(... | funny(fred) | [] | null | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa.
Everyone who is not kind or not funny is either wise or not funny and vice versa.
Everyone who is either quiet or not kind is quiet or kind.
If alice is not patient then mary is either creative or not brave.
Everyone who is both t... | Paul is curious. | neutral | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | curious(paul) | [] | null | 0 |
Everyone who is creative or not strong is not happy. Everyone who is both patient and not rich is not happy. Everyone who is either not kind or not curious is either not patient or not old. If alice is kind or not humble then lucy is patient. If someone is either kind or patient then someone is either not kind or tall.... | Alice is humble. | neutral | (![X]:((creative(X)|~strong(X))=>~happy(X)))&
(![X]:((patient(X)&~rich(X))=>~happy(X)))&
(![X]:((~kind(X)<~>~curious(X))=>(~patient(X)<~>~old(X))))&
(((kind(alice)|~humble(alice)))=>(patient(lucy)))&
((?[X]:((kind(X)<~>patient(X))))=>(?[X]:((~kind(X)<~>tall(X)))))&
(![X]:((old(X)&curious(X))=>(~patient(X)&~funny(X))))&... | humble(alice) | [] | null | 0 |
Everyone who is not humble is both not brave and not strong and vice versa.
Everyone who is quiet is both tall and not wise.
Everyone who is rich is either not quiet or curious and vice versa.
Everyone who is both patient and not kind is curious or not tall.
If someone is not quiet then someone is strong and vice versa... | Alice is not strong. | contradiction | (![X]:(~humble(X)<=>(~brave(X)&~strong(X))))&
(![X]:(quiet(X)=>(tall(X)&~wise(X))))&
(![X]:(rich(X)<=>(~quiet(X)<~>curious(X))))&
(![X]:((patient(X)&~kind(X))=>(curious(X)|~tall(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:(strong(X))))&
((?[X]:((~old(X)<~>rich(X))))<=>(?[X]:((~generous(X)<~>kind(X)))))&
((?[X]:((happy(X)&rich(X... | ~strong(alice) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8253689977451685359688863
% SZS output start Proof for 8253689977451685359688863
2. ! [X0] : (quiet(X0) => (~wise(X0) & tall(X0))) [input p1]
8. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> (rich(X0) & strong(X0))) [input p7]
22. ~strong(alice) [input hypothesis]
26. ! [X0] : ((~wise(X0) & tall... | 0 |
Everyone who is either patient or not calm is calm and vice versa. If someone is both not patient and not wise then mary is not rich and vice versa. Everyone who is happy is both creative and not wise and vice versa. Everyone who is not strong or calm is not humble or not happy and vice versa. Everyone who is both calm... | Paul is not old. | neutral | (![X]:((patient(X)<~>~calm(X))<=>calm(X)))&
((?[X]:((~patient(X)&~wise(X))))<=>(~rich(mary)))&
(![X]:(happy(X)<=>(creative(X)&~wise(X))))&
(![X]:((~strong(X)|calm(X))<=>(~humble(X)|~happy(X))))&
(![X]:((calm(X)&creative(X))<=>(rich(X)&~wise(X))))&
(![X]:(~patient(X)=>rich(X)))&
(![X]:((~kind(X)&~generous(X))<=>(~rich(X... | ~old(paul) | [] | null | 0 |
Everyone who is funny or not wise is creative.
Everyone who is both humble and not brave is either not happy or wise.
If someone is not brave then lucy is tall.
Everyone who is either not happy or not brave is either not rich or not tall and vice versa.
Everyone who is patient is both not kind and humble and vice versa... | Lucy is not generous. | contradiction | (![X]:((funny(X)|~wise(X))=>creative(X)))&
(![X]:((humble(X)&~brave(X))=>(~happy(X)<~>wise(X))))&
((?[X]:(~brave(X)))=>(tall(lucy)))&
(![X]:((~happy(X)<~>~brave(X))<=>(~rich(X)<~>~tall(X))))&
(![X]:(patient(X)<=>(~kind(X)&humble(X))))&
(![X]:((tall(X)|~rich(X))=>strong(X)))&
((?[X]:(~patient(X)))=>(?[X]:((creative(X)<~... | ~generous(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3034228291595798509200303
% SZS output start Proof for 3034228291595798509200303
2. ! [X0] : ((~brave(X0) & humble(X0)) => (~happy(X0) <~> wise(X0))) [input p1]
3. ? [X0] : ~brave(X0) => tall(lucy) [input p2]
4. ! [X0] : ((~happy(X0) <~> ~brave(X0)) <=> (~rich(X0) <~> ~tall(X0))) [input p... | 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 not rich. | 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... | ~rich(paul) | [] | null | 0 |
Everyone who is generous or happy is either curious or not patient.
If someone is brave then someone is not funny.
If someone is curious or happy then lucy is both not curious and rich and vice versa.
Everyone who is not strong or quiet is calm or strong.
Everyone who is not humble or calm is brave.
Everyone who is bra... | Susan is generous. | contradiction | (![X]:((generous(X)|happy(X))=>(curious(X)<~>~patient(X))))&
((?[X]:(brave(X)))=>(?[X]:(~funny(X))))&
((?[X]:((curious(X)|happy(X))))<=>((~curious(lucy)&rich(lucy))))&
(![X]:((~strong(X)|quiet(X))=>(calm(X)|strong(X))))&
(![X]:((~humble(X)|calm(X))=>brave(X)))&
(![X]:((brave(X)|generous(X))<=>(kind(X)&~brave(X))))&
((?... | generous(susan) | [
"p4",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2149227383974133301850455
% SZS output start Proof for 2149227383974133301850455
5. ! [X0] : ((calm(X0) | ~humble(X0)) => brave(X0)) [input p4]
6. ! [X0] : ((generous(X0) | brave(X0)) <=> (~brave(X0) & kind(X0))) [input p5]
8. ! [X0] : ((~patient(X0) | ~tall(X0)) => ~kind(X0)) [input p7]
... | 0 |
Everyone who is both humble and not happy is either not curious or not calm and vice versa.
If fred is both not rich and not patient then susan is either not brave or not patient.
If someone is both old and funny then someone is both rich and kind and vice versa.
If someone is creative then someone is not tall or not b... | Fred is not wise. | neutral | (![X]:((humble(X)&~happy(X))<=>(~curious(X)<~>~calm(X))))&
(((~rich(fred)&~patient(fred)))=>((~brave(susan)<~>~patient(susan))))&
((?[X]:((old(X)&funny(X))))<=>(?[X]:((rich(X)&kind(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~old(X)<~>patient(X))<=>kind(X)))&
((?[X]:((~patient(X)<~>~quiet(X)... | ~wise(fred) | [] | null | 0 |
If someone is both not patient and not funny then someone is both patient and not creative.
Everyone who is rich is both creative and not rich and vice versa.
If someone is not happy then alice is not old and vice versa.
If fred is both not kind and curious then someone is both creative and calm and vice versa.
Everyon... | John is wise. | contradiction | ((?[X]:((~patient(X)&~funny(X))))=>(?[X]:((patient(X)&~creative(X)))))&
(![X]:(rich(X)<=>(creative(X)&~rich(X))))&
((?[X]:(~happy(X)))<=>(~old(alice)))&
(((~kind(fred)&curious(fred)))<=>(?[X]:((creative(X)&calm(X)))))&
(![X]:((happy(X)|~creative(X))=>(~happy(X)&brave(X))))&
(((generous(fred)|~patient(fred)))=>(?[X]:((~... | wise(john) | [
"p1",
"p2",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3784373616853883609275438
% SZS output start Proof for 3784373616853883609275438
2. ! [X0] : (rich(X0) <=> (~rich(X0) & creative(X0))) [input p1]
3. ? [X0] : ~happy(X0) <=> ~old(alice) [input p2]
5. ! [X0] : ((~creative(X0) | happy(X0)) => (brave(X0) & ~happy(X0))) [input p4]
12. (~wise(j... | 0 |
Everyone who is either funny or quiet is both not strong and strong. Everyone who is not rich or not happy is happy. If someone is both funny and kind then someone is not quiet or happy and vice versa. If lucy is not curious or tall then john is humble or not wise. Everyone who is not old is both curious and not kind. ... | Alice is not quiet. | contradiction | (![X]:((funny(X)<~>quiet(X))=>(~strong(X)&strong(X))))&
(![X]:((~rich(X)|~happy(X))=>happy(X)))&
((?[X]:((funny(X)&kind(X))))<=>(?[X]:((~quiet(X)|happy(X)))))&
(((~curious(lucy)|tall(lucy)))=>((humble(john)|~wise(john))))&
(![X]:(~old(X)=>(curious(X)&~kind(X))))&
((creative(susan))<=>(?[X]:(wise(X))))&
((?[X]:((humble(... | ~quiet(alice) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5157212887100714162208900
% SZS output start Proof for 5157212887100714162208900
2. ! [X0] : ((~happy(X0) | ~rich(X0)) => happy(X0)) [input p1]
9. ! [X0] : (~quiet(X0) <=> (~wise(X0) & ~happy(X0))) [input p8]
23. ~quiet(alice) [input hypothesis]
29. ! [X0] : (happy(X0) | (happy(X0) & rich... | 0 |
Everyone who is not calm is calm.
Everyone who is both not humble and kind is brave.
If someone is creative or not brave then someone is not wise.
Everyone who is not funny is both not generous and curious and vice versa.
Everyone who is creative is either funny or not calm.
If mary is either generous or calm then some... | Lucy is rich. | contradiction | (![X]:(~calm(X)=>calm(X)))&
(![X]:((~humble(X)&kind(X))=>brave(X)))&
((?[X]:((creative(X)|~brave(X))))=>(?[X]:(~wise(X))))&
(![X]:(~funny(X)<=>(~generous(X)&curious(X))))&
(![X]:(creative(X)=>(funny(X)<~>~calm(X))))&
(((generous(mary)<~>calm(mary)))=>(?[X]:(~old(X))))&
(![X]:((~happy(X)&~quiet(X))<=>(~strong(X)<~>~humb... | rich(lucy) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 49173609888262994768243
% SZS output start Proof for 49173609888262994768243
1. ! [X0] : (~calm(X0) => calm(X0)) [input p0]
9. ! [X0] : (~calm(X0) <=> rich(X0)) [input p8]
23. rich(lucy) [input hypothesis]
25. ! [X0] : (calm(X0) | calm(X0)) [ennf transformation 1]
48. ! [X0] : ((~calm(X0)... | 0 |
Everyone who is not tall or not brave is either not quiet or old. Everyone who is either creative or not strong is either patient or not creative. Everyone who is not generous is both humble and not quiet. Everyone who is kind is curious or not rich. If someone is curious or funny then someone is both not generous and ... | Mary is not rich. | neutral | (![X]:((~tall(X)|~brave(X))=>(~quiet(X)<~>old(X))))&
(![X]:((creative(X)<~>~strong(X))=>(patient(X)<~>~creative(X))))&
(![X]:(~generous(X)=>(humble(X)&~quiet(X))))&
(![X]:(kind(X)=>(curious(X)|~rich(X))))&
((?[X]:((curious(X)|funny(X))))=>(?[X]:((~generous(X)&~wise(X)))))&
((?[X]:((humble(X)|strong(X))))=>((~wise(susan... | ~rich(mary) | [] | null | 0 |
Everyone who is not generous is rich or wise and vice versa.
Everyone who is not kind is either not generous or wise.
Everyone who is patient is either not wise or strong.
Everyone who is rich or patient is both wise and not patient and vice versa.
Everyone who is both humble and happy is wise or happy and vice versa.
... | John is creative. | neutral | (![X]:(~generous(X)<=>(rich(X)|wise(X))))&
(![X]:(~kind(X)=>(~generous(X)<~>wise(X))))&
(![X]:(patient(X)=>(~wise(X)<~>strong(X))))&
(![X]:((rich(X)|patient(X))<=>(wise(X)&~patient(X))))&
(![X]:((humble(X)&happy(X))<=>(wise(X)|happy(X))))&
(![X]:((~strong(X)|~generous(X))<=>(tall(X)<~>~curious(X))))&
((?[X]:((~quiet(X)... | creative(john) | [] | null | 0 |
If alice is funny or rich then alice is brave.
If someone is either wise or patient then someone is humble and vice versa.
Everyone who is both tall and happy is both rich and not calm and vice versa.
Everyone who is not patient or curious is either old or wise and vice versa.
If someone is not tall then someone is wis... | Lucy is not funny. | neutral | (((funny(alice)|rich(alice)))=>(brave(alice)))&
((?[X]:((wise(X)<~>patient(X))))<=>(?[X]:(humble(X))))&
(![X]:((tall(X)&happy(X))<=>(rich(X)&~calm(X))))&
(![X]:((~patient(X)|curious(X))<=>(old(X)<~>wise(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((wise(X)|old(X)))))&
((?[X]:((wise(X)<~>humble(X))))=>((~tall(mary)|~patient(mary)... | ~funny(lucy) | [] | null | 0 |
If someone is not curious then mary is not generous and vice versa.
Everyone who is not rich or not patient is generous.
If someone is creative or not happy then someone is either not wise or curious and vice versa.
If someone is not calm or not curious then someone is not tall or wise and vice versa.
If susan is old t... | John is not calm. | entailment | ((?[X]:(~curious(X)))<=>(~generous(mary)))&
(![X]:((~rich(X)|~patient(X))=>generous(X)))&
((?[X]:((creative(X)|~happy(X))))<=>(?[X]:((~wise(X)<~>curious(X)))))&
((?[X]:((~calm(X)|~curious(X))))<=>(?[X]:((~tall(X)|wise(X)))))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong(X)<~>~happy(X))))=>(?[X]:((~s... | ~calm(john) | [
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3765204448465984437163512
% SZS output start Proof for 3765204448465984437163512
11. ! [X0] : ((curious(X0) | ~wise(X0)) => quiet(X0)) [input p10]
15. ! [X0] : ((~curious(X0) | quiet(X0)) => (~brave(X0) & ~calm(X0))) [input p14]
16. ! [X0] : ((~calm(X0) & ~brave(X0)) <=> (wise(X0) | ~kind... | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa.
Everyone who is not funny is either strong or not strong.
If someone is both happy and patient then someone is not kind or curious and vice versa.
Everyone who is not strong is not humble or not brave.
If someone is either n... | Mary is curious. | entailment | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
(![X]:(~funny(X)=>(strong(X)<~>~strong(X))))&
((?[X]:((happy(X)&patient(X))))<=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:(~strong(X)=>(~humble(X)|~brave(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>((~rich(alice)|~old(alice))))&
(![X]:((~patient(X)&humble(X))<=>(~pati... | curious(mary) | [
"p0",
"p7",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1821788120524434419686021
% SZS output start Proof for 1821788120524434419686021
1. ! [X0] : ((~brave(X0) <~> ~generous(X0)) <=> (~tall(X0) & ~brave(X0))) [input p0]
8. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p7]
9. ? [X0] : ~strong(X0) <=> ? [X0] : (~calm(X0) & calm(X0))... | 0 |
Everyone who is not funny or not happy is curious or not happy and vice versa.
Everyone who is either wise or strong is both not quiet and not wise and vice versa.
If alice is not curious then someone is rich or not brave.
Everyone who is both not old and not humble is wise.
Everyone who is happy or not happy is either... | Alice is happy. | contradiction | (![X]:((~funny(X)|~happy(X))<=>(curious(X)|~happy(X))))&
(![X]:((wise(X)<~>strong(X))<=>(~quiet(X)&~wise(X))))&
((~curious(alice))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:((~old(X)&~humble(X))=>wise(X)))&
(![X]:((happy(X)|~happy(X))=>(generous(X)<~>~rich(X))))&
(((tall(john)|quiet(john)))=>(?[X]:((~wise(X)<~>~patient(X))... | happy(alice) | [
"p0",
"p1",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3418988403403417799581715
% SZS output start Proof for 3418988403403417799581715
1. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~happy(X0) | curious(X0))) [input p0]
2. ! [X0] : ((wise(X0) <~> strong(X0)) <=> (~wise(X0) & ~quiet(X0))) [input p1]
8. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=... | 0 |
Everyone who is either rich or not wise is kind. Everyone who is humble or not humble is tall or not brave and vice versa. If fred is not calm or humble then paul is not strong. If someone is tall then alice is both not funny and not quiet and vice versa. Everyone who is creative is either not tall or not strong. If so... | Fred is not creative. | entailment | (![X]:((rich(X)<~>~wise(X))=>kind(X)))&
(![X]:((humble(X)|~humble(X))<=>(tall(X)|~brave(X))))&
(((~calm(fred)|humble(fred)))=>(~strong(paul)))&
((?[X]:(tall(X)))<=>((~funny(alice)&~quiet(alice))))&
(![X]:(creative(X)=>(~tall(X)<~>~strong(X))))&
((?[X]:((old(X)|~happy(X))))<=>(?[X]:(kind(X))))&
(![X]:((~humble(X)&humble... | ~creative(fred) | [
"p1",
"p4",
"p6",
"p9",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 180138516792478088913688
% SZS output start Proof for 180138516792478088913688
2. ! [X0] : ((~humble(X0) | humble(X0)) <=> (~brave(X0) | tall(X0))) [input p1]
5. ! [X0] : (creative(X0) => (~tall(X0) <~> ~strong(X0))) [input p4]
7. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (creative(X0) & ~... | 0 |
Everyone who is kind or wise is both strong and not wise.
If john is not old or not patient then someone is both not quiet and tall.
Everyone who is both not patient and not generous is either not kind or calm.
Everyone who is kind is either generous or wise.
Everyone who is both not brave and not tall is not happy.
If... | Fred is brave. | contradiction | (![X]:((kind(X)|wise(X))=>(strong(X)&~wise(X))))&
(((~old(john)|~patient(john)))=>(?[X]:((~quiet(X)&tall(X)))))&
(![X]:((~patient(X)&~generous(X))=>(~kind(X)<~>calm(X))))&
(![X]:(kind(X)=>(generous(X)<~>wise(X))))&
(![X]:((~brave(X)&~tall(X))=>~happy(X)))&
((?[X]:((creative(X)|brave(X))))=>(?[X]:((tall(X)&quiet(X)))))&... | brave(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6159826560531619005876595
% SZS output start Proof for 6159826560531619005876595
18. ~brave(fred) & ~rich(fred) [input p17]
25. brave(fred) [input hypothesis]
130. ~brave(fred) [cnf transformation 18]
139. brave(fred) [cnf transformation 25]
307. $false [subsumption resolution 139,130]
% ... | 0 |
If someone is both not curious and not tall then someone is not strong and vice versa.
Everyone who is either strong or creative is wise and vice versa.
Everyone who is creative is not quiet or generous and vice versa.
Everyone who is not brave or curious is both not rich and not quiet and vice versa.
Everyone who is n... | Lucy is not generous. | contradiction | ((?[X]:((~curious(X)&~tall(X))))<=>(?[X]:(~strong(X))))&
(![X]:((strong(X)<~>creative(X))<=>wise(X)))&
(![X]:(creative(X)<=>(~quiet(X)|generous(X))))&
(![X]:((~brave(X)|curious(X))<=>(~rich(X)&~quiet(X))))&
(![X]:(~quiet(X)<=>(~creative(X)&kind(X))))&
((?[X]:(rich(X)))<=>(?[X]:((brave(X)&tall(X)))))&
(![X]:((calm(X)|wi... | ~generous(lucy) | [
"p2",
"p3",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 764329091556320156114237
% SZS output start Proof for 764329091556320156114237
3. ! [X0] : (creative(X0) <=> (generous(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((curious(X0) | ~brave(X0)) <=> (~quiet(X0) & ~rich(X0))) [input p3]
5. ! [X0] : (~quiet(X0) <=> (kind(X0) & ~creative(X0))) [in... | 0 |
Everyone who is both not brave and kind is both wise and happy and vice versa.
Everyone who is not calm or not happy is wise or curious.
Everyone who is both kind and not humble is not strong or not patient and vice versa.
If someone is both old and humble then someone is either not humble or wise.
If someone is both s... | John is creative. | entailment | (![X]:((~brave(X)&kind(X))<=>(wise(X)&happy(X))))&
(![X]:((~calm(X)|~happy(X))=>(wise(X)|curious(X))))&
(![X]:((kind(X)&~humble(X))<=>(~strong(X)|~patient(X))))&
((?[X]:((old(X)&humble(X))))=>(?[X]:((~humble(X)<~>wise(X)))))&
((?[X]:((strong(X)&funny(X))))<=>(?[X]:((curious(X)<~>old(X)))))&
(((~humble(susan)<~>generous... | creative(john) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3103495239613185202374554
% SZS output start Proof for 3103495239613185202374554
9. ! [X0] : (calm(X0) <=> creative(X0)) [input p8]
19. calm(john) [input p18]
24. ~creative(john) [input hypothesis]
58. ! [X0] : ((calm(X0) | ~creative(X0)) & (creative(X0) | ~calm(X0))) [nnf transformation ... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is both old and patient is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone ... | Alice is not quiet. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)&patient(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&... | ~quiet(alice) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7862654950715214836696663
% SZS output start Proof for 7862654950715214836696663
1. ! [X0] : ((~curious(X0) <~> funny(X0)) => (~creative(X0) & old(X0))) [input p0]
2. ! [X0] : ((patient(X0) & old(X0)) => (~strong(X0) & ~old(X0))) [input p1]
6. ! [X0] : ((quiet(X0) | curious(X0)) => (rich(... | 0 |
Everyone who is either not generous or not calm is old and vice versa.
Everyone who is not creative or not happy is not calm or not funny and vice versa.
Everyone who is both not calm and not rich is either not curious or not brave and vice versa.
Everyone who is either not funny or not happy is not curious or not humb... | Fred is not humble. | neutral | (![X]:((~generous(X)<~>~calm(X))<=>old(X)))&
(![X]:((~creative(X)|~happy(X))<=>(~calm(X)|~funny(X))))&
(![X]:((~calm(X)&~rich(X))<=>(~curious(X)<~>~brave(X))))&
(![X]:((~funny(X)<~>~happy(X))=>(~curious(X)|~humble(X))))&
(![X]:((happy(X)<~>~generous(X))<=>(~patient(X)&curious(X))))&
(((happy(mary)|~funny(mary)))=>((~pa... | ~humble(fred) | [] | null | 0 |
Everyone who is humble is either not generous or kind. Everyone who is generous or not wise is not humble or not generous. Everyone who is either old or not funny is humble or not brave and vice versa. If someone is either funny or calm then someone is both not brave and funny. If someone is not kind or generous then f... | Fred is not happy. | entailment | (![X]:(humble(X)=>(~generous(X)<~>kind(X))))&
(![X]:((generous(X)|~wise(X))=>(~humble(X)|~generous(X))))&
(![X]:((old(X)<~>~funny(X))<=>(humble(X)|~brave(X))))&
((?[X]:((funny(X)<~>calm(X))))=>(?[X]:((~brave(X)&funny(X)))))&
((?[X]:((~kind(X)|generous(X))))=>(~patient(fred)))&
((?[X]:((humble(X)&tall(X))))=>((~quiet(ma... | ~happy(fred) | [
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 23397248100446214459791
% SZS output start Proof for 23397248100446214459791
8. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (strong(X0) <~> ~quiet(X0))) [input p7]
10. ! [X0] : ((happy(X0) | ~old(X0)) <=> (~quiet(X0) & generous(X0))) [input p9]
16. ! [X0] : ((~wise(X0) | strong(X0)) <=> (tal... | 0 |
Everyone who is either not old or tall is both humble and not humble and vice versa. If susan is both quiet and brave then someone is either not rich or rich. If someone is calm then mary is both not kind and not rich. Everyone who is either curious or rich is either calm or not calm and vice versa. Everyone who is cal... | Fred is quiet. | contradiction | (![X]:((~old(X)<~>tall(X))<=>(humble(X)&~humble(X))))&
(((quiet(susan)&brave(susan)))=>(?[X]:((~rich(X)<~>rich(X)))))&
((?[X]:(calm(X)))=>((~kind(mary)&~rich(mary))))&
(![X]:((curious(X)<~>rich(X))<=>(calm(X)<~>~calm(X))))&
(![X]:(calm(X)=>wise(X)))&
(![X]:((~quiet(X)|funny(X))<=>(~tall(X)&creative(X))))&
((~old(fred))... | quiet(fred) | [
"p4",
"p6",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3790273113923712758785908
% SZS output start Proof for 3790273113923712758785908
5. ! [X0] : (calm(X0) => wise(X0)) [input p4]
7. ~old(fred) => (~kind(alice) & calm(alice)) [input p6]
11. ! [X0] : (wise(X0) => (~strong(X0) & ~wise(X0))) [input p10]
12. ! [X0] : (~brave(X0) <=> (~old(X0) <... | 0 |
Everyone who is quiet is both not curious and not calm.
Everyone who is either not strong or wise is either funny or creative and vice versa.
Everyone who is not calm or curious is either not tall or not old.
If someone is either generous or not creative then someone is both not patient and patient and vice versa.
If p... | John is not wise. | entailment | (![X]:(quiet(X)=>(~curious(X)&~calm(X))))&
(![X]:((~strong(X)<~>wise(X))<=>(funny(X)<~>creative(X))))&
(![X]:((~calm(X)|curious(X))=>(~tall(X)<~>~old(X))))&
((?[X]:((generous(X)<~>~creative(X))))<=>(?[X]:((~patient(X)&patient(X)))))&
((quiet(paul))<=>(?[X]:((~tall(X)&generous(X)))))&
(![X]:((humble(X)&~happy(X))<=>(fun... | ~wise(john) | [
"p0",
"p3",
"p4",
"p5",
"p10",
"p11",
"p12",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5911403942970391017918457
% SZS output start Proof for 5911403942970391017918457
1. ! [X0] : (quiet(X0) => (~calm(X0) & ~curious(X0))) [input p0]
4. ? [X0] : (generous(X0) <~> ~creative(X0)) <=> ? [X0] : (patient(X0) & ~patient(X0)) [input p3]
5. quiet(paul) <=> ? [X0] : (generous(X0) & ~... | 0 |
Everyone who is both kind and old is both calm and patient and vice versa.
Everyone who is patient is both old and not creative.
If paul is either calm or old then someone is not kind or humble and vice versa.
Everyone who is both curious and strong is not creative and vice versa.
Everyone who is wise is both wise and ... | John is old. | contradiction | (![X]:((kind(X)&old(X))<=>(calm(X)&patient(X))))&
(![X]:(patient(X)=>(old(X)&~creative(X))))&
(((calm(paul)<~>old(paul)))<=>(?[X]:((~kind(X)|humble(X)))))&
(![X]:((curious(X)&strong(X))<=>~creative(X)))&
(![X]:(wise(X)<=>(wise(X)&kind(X))))&
((?[X]:(humble(X)))=>(?[X]:((~old(X)<~>brave(X)))))&
(![X]:((curious(X)|~gener... | old(john) | [
"p0",
"p1",
"p3",
"p6",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 103960164322186613246386
% SZS output start Proof for 103960164322186613246386
1. ! [X0] : ((old(X0) & kind(X0)) <=> (patient(X0) & calm(X0))) [input p0]
2. ! [X0] : (patient(X0) => (~creative(X0) & old(X0))) [input p1]
4. ! [X0] : ((strong(X0) & curious(X0)) <=> ~creative(X0)) [input p3]... | 0 |
Everyone who is calm or kind is either not kind or funny and vice versa. If susan is not brave or quiet then mary is both not brave and humble and vice versa. Everyone who is both tall and not creative is quiet. Everyone who is creative or not old is funny. If someone is either not generous or old then someone is both ... | Paul is not patient. | contradiction | (![X]:((calm(X)|kind(X))<=>(~kind(X)<~>funny(X))))&
(((~brave(susan)|quiet(susan)))<=>((~brave(mary)&humble(mary))))&
(![X]:((tall(X)&~creative(X))=>quiet(X)))&
(![X]:((creative(X)|~old(X))=>funny(X)))&
((?[X]:((~generous(X)<~>old(X))))<=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:((~happy(X)<~>~brave(X))=>calm(X)))&
(![X]:(... | ~patient(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3164465493195820174769075
% SZS output start Proof for 3164465493195820174769075
13. ! [X0] : ((patient(X0) & ~tall(X0)) <=> (~funny(X0) <~> funny(X0))) [input p12]
24. ~patient(paul) [input hypothesis]
63. ! [X0] : (((patient(X0) & ~tall(X0)) | ((~funny(X0) | ~funny(X0)) & (funny(X0) | f... | 0 |
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