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 humble or wise is either wise or tall.
If someone is patient then lucy is either not curious or not old and vice versa.
Everyone who is wise or quiet is not kind.
Everyone who is not patient or creative is not generous.
Everyone who is not old is not patient or not funny.
Everyone who is both not... | Lucy is not happy. | neutral | (![X]:((humble(X)<~>wise(X))=>(wise(X)<~>tall(X))))&
((?[X]:(patient(X)))<=>((~curious(lucy)<~>~old(lucy))))&
(![X]:((wise(X)|quiet(X))=>~kind(X)))&
(![X]:((~patient(X)|creative(X))=>~generous(X)))&
(![X]:(~old(X)=>(~patient(X)|~funny(X))))&
(![X]:((~rich(X)&curious(X))=>rich(X)))&
(((creative(susan)|tall(susan)))<=>(?... | ~happy(lucy) | [] | null | 0 |
If mary is either not happy or not kind then someone is not quiet or happy. If someone is both calm and not strong then alice is patient and vice versa. Everyone who is brave or not humble is both not humble and not curious and vice versa. Everyone who is both not generous and not wise is not brave. Everyone who is eit... | John is curious. | contradiction | (((~happy(mary)<~>~kind(mary)))=>(?[X]:((~quiet(X)|happy(X)))))&
((?[X]:((calm(X)&~strong(X))))<=>(patient(alice)))&
(![X]:((brave(X)|~humble(X))<=>(~humble(X)&~curious(X))))&
(![X]:((~generous(X)&~wise(X))=>~brave(X)))&
(![X]:((~quiet(X)<~>~kind(X))<=>(creative(X)&rich(X))))&
(![X]:((~humble(X)<~>~creative(X))<=>(funn... | curious(john) | [
"p6",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8617571882724670906492090
% SZS output start Proof for 8617571882724670906492090
7. (~curious(john) & ~creative(john)) <=> ? [X0] : (old(X0) | ~generous(X0)) [input p6]
12. ? [X0] : (~humble(X0) & rich(X0)) <=> ? [X0] : (~calm(X0) | ~curious(X0)) [input p11]
14. ! [X0] : (~humble(X0) => (... | 0 |
Everyone who is either not generous or wise is either not wise or tall and vice versa.
If fred is both calm and not humble then someone is rich and vice versa.
Everyone who is strong is wise or not patient and vice versa.
Everyone who is calm or rich is both quiet and happy.
Everyone who is happy is not tall or kind an... | John is brave. | neutral | (![X]:((~generous(X)<~>wise(X))<=>(~wise(X)<~>tall(X))))&
(((calm(fred)&~humble(fred)))<=>(?[X]:(rich(X))))&
(![X]:(strong(X)<=>(wise(X)|~patient(X))))&
(![X]:((calm(X)|rich(X))=>(quiet(X)&happy(X))))&
(![X]:(happy(X)<=>(~tall(X)|kind(X))))&
(![X]:((~calm(X)|~patient(X))=>quiet(X)))&
(![X]:(~curious(X)=>quiet(X)))&
(((... | brave(john) | [] | null | 0 |
If someone is not calm or not quiet then someone is either not calm or happy. If someone is both not old and quiet then mary is both not calm and generous. Everyone who is both humble and not brave is either happy or not generous and vice versa. If john is both not generous and generous then fred is both not creative a... | Alice is old. | entailment | ((?[X]:((~calm(X)|~quiet(X))))=>(?[X]:((~calm(X)<~>happy(X)))))&
((?[X]:((~old(X)&quiet(X))))=>((~calm(mary)&generous(mary))))&
(![X]:((humble(X)&~brave(X))<=>(happy(X)<~>~generous(X))))&
(((~generous(john)&generous(john)))<=>((~creative(fred)&~tall(fred))))&
(![X]:(strong(X)=>(~brave(X)<~>~quiet(X))))&
(((calm(alice)<... | old(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2824810300508811254306208
% SZS output start Proof for 2824810300508811254306208
9. ? [X0] : (~old(X0) | ~calm(X0)) => ? [X0] : (~brave(X0) & brave(X0)) [input p8]
23. ~old(alice) [input hypothesis]
25. ? [X0] : (~old(X0) | ~calm(X0)) => ? [X1] : (~brave(X1) & brave(X1)) [rectify 9]
36. ?... | 0 |
Everyone who is not strong is not wise. Everyone who is both strong and not creative is not humble. Everyone who is both curious and not funny is curious. Everyone who is either not patient or wise is both not rich and humble. If someone is not rich then someone is both curious and old. Everyone who is both not old and... | Fred is strong. | entailment | (![X]:(~strong(X)=>~wise(X)))&
(![X]:((strong(X)&~creative(X))=>~humble(X)))&
(![X]:((curious(X)&~funny(X))=>curious(X)))&
(![X]:((~patient(X)<~>wise(X))=>(~rich(X)&humble(X))))&
((?[X]:(~rich(X)))=>(?[X]:((curious(X)&old(X)))))&
(![X]:((~old(X)&funny(X))=>(~strong(X)|patient(X))))&
(((curious(lucy)|~creative(lucy)))<=... | strong(fred) | [
"p0",
"p3",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 524056632771706638497869
% SZS output start Proof for 524056632771706638497869
1. ! [X0] : (~strong(X0) => ~wise(X0)) [input p0]
4. ! [X0] : ((~patient(X0) <~> wise(X0)) => (humble(X0) & ~rich(X0))) [input p3]
11. ! [X0] : ((~calm(X0) | humble(X0)) => (~curious(X0) <~> ~strong(X0))) [inpu... | 0 |
If lucy is curious or kind then mary is both humble and not rich and vice versa.
Everyone who is kind is not brave.
Everyone who is both brave and calm is both not funny and not happy.
If someone is both quiet and patient then someone is both funny and not brave and vice versa.
If lucy is either not happy or not quiet ... | Paul is not brave. | entailment | (((curious(lucy)|kind(lucy)))<=>((humble(mary)&~rich(mary))))&
(![X]:(kind(X)=>~brave(X)))&
(![X]:((brave(X)&calm(X))=>(~funny(X)&~happy(X))))&
((?[X]:((quiet(X)&patient(X))))<=>(?[X]:((funny(X)&~brave(X)))))&
(((~happy(lucy)<~>~quiet(lucy)))=>((~kind(mary)|~patient(mary))))&
(((old(lucy)|kind(lucy)))<=>((calm(paul)<~>... | ~brave(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 57253668958258709654723
% SZS output start Proof for 57253668958258709654723
14. ! [X0] : ((humble(X0) & ~brave(X0)) <=> brave(X0)) [input p13]
24. brave(paul) [input hypothesis]
57. ! [X0] : (((humble(X0) & ~brave(X0)) | ~brave(X0)) & (brave(X0) | (~humble(X0) | brave(X0)))) [nnf transfo... | 0 |
Everyone who is not quiet is either funny or creative and vice versa.
Everyone who is creative is either not strong or not patient.
If someone is either quiet or not creative then someone is both calm and curious and vice versa.
Everyone who is kind is both not funny and calm and vice versa.
If fred is not rich or humb... | Fred is kind. | contradiction | (![X]:(~quiet(X)<=>(funny(X)<~>creative(X))))&
(![X]:(creative(X)=>(~strong(X)<~>~patient(X))))&
((?[X]:((quiet(X)<~>~creative(X))))<=>(?[X]:((calm(X)&curious(X)))))&
(![X]:(kind(X)<=>(~funny(X)&calm(X))))&
(((~rich(fred)|humble(fred)))=>(?[X]:((~humble(X)&humble(X)))))&
(![X]:((~funny(X)&~calm(X))=>(old(X)&~wise(X))))... | kind(fred) | [
"p0",
"p3",
"p4",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7130543698428611649364839
% SZS output start Proof for 7130543698428611649364839
1. ! [X0] : (~quiet(X0) <=> (funny(X0) <~> creative(X0))) [input p0]
4. ! [X0] : (kind(X0) <=> (calm(X0) & ~funny(X0))) [input p3]
5. (humble(fred) | ~rich(fred)) => ? [X0] : (humble(X0) & ~humble(X0)) [input... | 0 |
If paul is tall or not generous then someone is either humble or not curious and vice versa.
Everyone who is both patient and happy is either not rich or rich.
If someone is strong then someone is funny and vice versa.
If paul is not patient or calm then mary is funny and vice versa.
Everyone who is either not wise or ... | Paul is generous. | neutral | (((tall(paul)|~generous(paul)))<=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:((patient(X)&happy(X))=>(~rich(X)<~>rich(X))))&
((?[X]:(strong(X)))<=>(?[X]:(funny(X))))&
(((~patient(paul)|calm(paul)))<=>(funny(mary)))&
(![X]:((~wise(X)<~>~curious(X))=>(tall(X)&~humble(X))))&
(![X]:((strong(X)&~patient(X))<=>(~patient(X)<~... | generous(paul) | [] | null | 0 |
Everyone who is creative is patient.
If john is both quiet and not humble then john is both rich and not calm and vice versa.
If mary is both not patient and tall then mary is either not calm or not quiet and vice versa.
Everyone who is not quiet is patient.
Everyone who is not rich or funny is not old.
Everyone who is... | Alice is curious. | neutral | (![X]:(creative(X)=>patient(X)))&
(((quiet(john)&~humble(john)))<=>((rich(john)&~calm(john))))&
(((~patient(mary)&tall(mary)))<=>((~calm(mary)<~>~quiet(mary))))&
(![X]:(~quiet(X)=>patient(X)))&
(![X]:((~rich(X)|funny(X))=>~old(X)))&
(![X]:((brave(X)<~>~old(X))=>(~quiet(X)<~>funny(X))))&
(![X]:((~wise(X)|~brave(X))<=>(~... | curious(alice) | [] | null | 0 |
If someone is both tall and wise then someone is not quiet.
If someone is patient or tall then someone is both not tall and not strong.
Everyone who is not wise or not patient is either old or humble.
Everyone who is not kind is either humble or not creative and vice versa.
Everyone who is either not old or not brave i... | Paul is not strong. | neutral | ((?[X]:((tall(X)&wise(X))))=>(?[X]:(~quiet(X))))&
((?[X]:((patient(X)|tall(X))))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((~wise(X)|~patient(X))=>(old(X)<~>humble(X))))&
(![X]:(~kind(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~old(X)<~>~brave(X))=>(curious(X)|tall(X))))&
(![X]:((~humble(X)<~>happy(X))<=>(~brave(X)&~wis... | ~strong(paul) | [] | null | 0 |
Everyone who is both wise and not quiet is either happy or funny and vice versa. Everyone who is happy is both not funny and curious and vice versa. If alice is both calm and not strong then someone is not rich or creative and vice versa. Everyone who is patient is patient or brave and vice versa. Everyone who is eithe... | Susan is calm. | neutral | (![X]:((wise(X)&~quiet(X))<=>(happy(X)<~>funny(X))))&
(![X]:(happy(X)<=>(~funny(X)&curious(X))))&
(((calm(alice)&~strong(alice)))<=>(?[X]:((~rich(X)|creative(X)))))&
(![X]:(patient(X)<=>(patient(X)|brave(X))))&
(![X]:((calm(X)<~>wise(X))=>(wise(X)&~tall(X))))&
(![X]:((creative(X)|~funny(X))<=>(~brave(X)&~patient(X))))&... | calm(susan) | [] | null | 0 |
Everyone who is either not curious or creative is not humble and vice versa.
If susan is both curious and not wise then someone is either not generous or not rich and vice versa.
Everyone who is both humble and calm is old or creative and vice versa.
If someone is both wise and generous then someone is both not kind an... | John is not strong. | contradiction | (![X]:((~curious(X)<~>creative(X))<=>~humble(X)))&
(((curious(susan)&~wise(susan)))<=>(?[X]:((~generous(X)<~>~rich(X)))))&
(![X]:((humble(X)&calm(X))<=>(old(X)|creative(X))))&
((?[X]:((wise(X)&generous(X))))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:(strong(X)<=>(~happy(X)|patient(X))))&
(![X]:((calm(X)<~>~brave(X))<=>funny... | ~strong(john) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6868410648392861954631095
% SZS output start Proof for 6868410648392861954631095
3. ! [X0] : ((calm(X0) & humble(X0)) <=> (creative(X0) | old(X0))) [input p2]
4. ? [X0] : (generous(X0) & wise(X0)) => ? [X0] : (rich(X0) & ~kind(X0)) [input p3]
5. ! [X0] : (strong(X0) <=> (patient(X0) | ~ha... | 0 |
If someone is either not kind or wise then someone is not rich and vice versa.
If someone is both not calm and tall then someone is calm or tall and vice versa.
If someone is curious then alice is humble.
If paul is both not calm and brave then someone is not strong or not kind and vice versa.
Everyone who is either no... | Alice is not wise. | neutral | ((?[X]:((~kind(X)<~>wise(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((~calm(X)&tall(X))))<=>(?[X]:((calm(X)|tall(X)))))&
((?[X]:(curious(X)))=>(humble(alice)))&
(((~calm(paul)&brave(paul)))<=>(?[X]:((~strong(X)|~kind(X)))))&
(![X]:((~creative(X)<~>curious(X))<=>(~old(X)<~>~kind(X))))&
((?[X]:((rich(X)<~>~generous(X))))<=>(?[X]... | ~wise(alice) | [] | null | 0 |
Everyone who is not humble is either strong or not generous and vice versa. Everyone who is funny is not kind or not calm. If paul is either patient or not curious then someone is creative or strong. If someone is both patient and not strong then someone is quiet and vice versa. If lucy is not strong then fred is both ... | Alice is not rich. | contradiction | (![X]:(~humble(X)<=>(strong(X)<~>~generous(X))))&
(![X]:(funny(X)=>(~kind(X)|~calm(X))))&
(((patient(paul)<~>~curious(paul)))=>(?[X]:((creative(X)|strong(X)))))&
((?[X]:((patient(X)&~strong(X))))<=>(?[X]:(quiet(X))))&
((~strong(lucy))=>((humble(fred)&~funny(fred))))&
(((rich(lucy)<~>~patient(lucy)))<=>(?[X]:(kind(X))))... | ~rich(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5480649112401026823509361
% SZS output start Proof for 5480649112401026823509361
10. ! [X0] : ((~rich(X0) | ~brave(X0)) => (rich(X0) & ~curious(X0))) [input p9]
21. ~rich(alice) [input hypothesis]
32. ! [X0] : ((rich(X0) & ~curious(X0)) | (rich(X0) & brave(X0))) [ennf transformation 10]
9... | 0 |
Everyone who is either generous or rich is either not patient or not generous. If fred is not old then someone is not tall. If someone is both not rich and strong then someone is both not creative and strong and vice versa. Everyone who is either quiet or calm is patient or not creative and vice versa. Everyone who is ... | Alice is not calm. | neutral | (![X]:((generous(X)<~>rich(X))=>(~patient(X)<~>~generous(X))))&
((~old(fred))=>(?[X]:(~tall(X))))&
((?[X]:((~rich(X)&strong(X))))<=>(?[X]:((~creative(X)&strong(X)))))&
(![X]:((quiet(X)<~>calm(X))<=>(patient(X)|~creative(X))))&
(![X]:((generous(X)&creative(X))=>(strong(X)|~humble(X))))&
(![X]:(~curious(X)=>(~old(X)<~>fu... | ~calm(alice) | [] | null | 0 |
Everyone who is not generous or not curious is both not curious and kind and vice versa.
If someone is patient then someone is both not old and kind and vice versa.
If fred is not wise or old then someone is either quiet or not wise.
Everyone who is either not wise or not brave is either not quiet or humble and vice ve... | John is humble. | neutral | (![X]:((~generous(X)|~curious(X))<=>(~curious(X)&kind(X))))&
((?[X]:(patient(X)))<=>(?[X]:((~old(X)&kind(X)))))&
(((~wise(fred)|old(fred)))=>(?[X]:((quiet(X)<~>~wise(X)))))&
(![X]:((~wise(X)<~>~brave(X))<=>(~quiet(X)<~>humble(X))))&
(![X]:((curious(X)|~rich(X))=>(wise(X)|~humble(X))))&
(![X]:((tall(X)|~patient(X))=>(st... | humble(john) | [] | null | 0 |
Everyone who is both not quiet and generous is not happy or creative and vice versa.
Everyone who is calm is quiet and vice versa.
Everyone who is tall is either not happy or funny.
Everyone who is either brave or not patient is patient.
Everyone who is both quiet and humble is not creative or generous.
Everyone who is... | Lucy is not wise. | contradiction | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:((brave(X)<~>~patient(X))=>patient(X)))&
(![X]:((quiet(X)&humble(X))=>(~creative(X)|generous(X))))&
(![X]:(tall(X)<=>~humble(X)))&
(![X]:(generous(X)<=>(wise(X)<~>happy(X))))&
(![X]:(... | ~wise(lucy) | [
"p0",
"p1",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8342565096692155687455551
% SZS output start Proof for 8342565096692155687455551
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~happy(X0))) [input p0]
2. ! [X0] : (calm(X0) <=> quiet(X0)) [input p1]
7. ! [X0] : (generous(X0) <=> (wise(X0) <~> happy(X0))) [input p6]
9. ! [X0... | 0 |
Everyone who is not humble or not tall is patient and vice versa.
If mary is not rich or happy then someone is not funny.
Everyone who is either happy or patient is not funny and vice versa.
If someone is not patient or not generous then someone is rich or not happy and vice versa.
Everyone who is not kind is either pa... | Mary is wise. | neutral | (![X]:((~humble(X)|~tall(X))<=>patient(X)))&
(((~rich(mary)|happy(mary)))=>(?[X]:(~funny(X))))&
(![X]:((happy(X)<~>patient(X))<=>~funny(X)))&
((?[X]:((~patient(X)|~generous(X))))<=>(?[X]:((rich(X)|~happy(X)))))&
(![X]:(~kind(X)=>(patient(X)<~>generous(X))))&
(![X]:((~brave(X)&strong(X))=>(generous(X)<~>~old(X))))&
(![X... | wise(mary) | [] | null | 0 |
Everyone who is both not curious and strong is funny. If someone is either kind or happy then someone is kind and vice versa. Everyone who is not patient is not old and vice versa. Everyone who is funny is either strong or humble and vice versa. Everyone who is generous or not calm is either not funny or not kind. If s... | Paul is wise. | neutral | (![X]:((~curious(X)&strong(X))=>funny(X)))&
((?[X]:((kind(X)<~>happy(X))))<=>(?[X]:(kind(X))))&
(![X]:(~patient(X)<=>~old(X)))&
(![X]:(funny(X)<=>(strong(X)<~>humble(X))))&
(![X]:((generous(X)|~calm(X))=>(~funny(X)<~>~kind(X))))&
((?[X]:((~calm(X)|~happy(X))))<=>((wise(paul)|~curious(paul))))&
(![X]:(humble(X)=>(patien... | wise(paul) | [] | null | 0 |
Everyone who is not creative or not curious is either not tall or humble and vice versa.
If alice is not funny or quiet then john is either funny or curious and vice versa.
Everyone who is wise or not funny is not funny or rich and vice versa.
Everyone who is both not curious and brave is both not wise and not strong.
... | Lucy is calm. | neutral | (![X]:((~creative(X)|~curious(X))<=>(~tall(X)<~>humble(X))))&
(((~funny(alice)|quiet(alice)))<=>((funny(john)<~>curious(john))))&
(![X]:((wise(X)|~funny(X))<=>(~funny(X)|rich(X))))&
(![X]:((~curious(X)&brave(X))=>(~wise(X)&~strong(X))))&
(![X]:((funny(X)<~>kind(X))<=>kind(X)))&
((?[X]:((~rich(X)&~brave(X))))<=>((~happy... | calm(lucy) | [] | null | 0 |
Everyone who is either patient or not old is not funny or strong.
Everyone who is brave or calm is kind.
Everyone who is either strong or creative is both happy and not humble.
If someone is either not curious or not tall then john is not humble or patient and vice versa.
If fred is both not kind and tall then fred is ... | Lucy is happy. | neutral | (![X]:((patient(X)<~>~old(X))=>(~funny(X)|strong(X))))&
(![X]:((brave(X)|calm(X))=>kind(X)))&
(![X]:((strong(X)<~>creative(X))=>(happy(X)&~humble(X))))&
((?[X]:((~curious(X)<~>~tall(X))))<=>((~humble(john)|patient(john))))&
(((~kind(fred)&tall(fred)))<=>((creative(fred)&brave(fred))))&
((?[X]:((tall(X)|~strong(X))))=>(... | happy(lucy) | [] | null | 0 |
If someone is both patient and quiet then susan is kind and vice versa.
Everyone who is brave or not generous is not tall and vice versa.
If someone is both not happy and not funny then someone is both wise and not quiet.
If someone is both rich and funny then lucy is both not creative and not brave.
If someone is not ... | John is not old. | contradiction | ((?[X]:((patient(X)&quiet(X))))<=>(kind(susan)))&
(![X]:((brave(X)|~generous(X))<=>~tall(X)))&
((?[X]:((~happy(X)&~funny(X))))=>(?[X]:((wise(X)&~quiet(X)))))&
((?[X]:((rich(X)&funny(X))))=>((~creative(lucy)&~brave(lucy))))&
((?[X]:((~funny(X)|generous(X))))=>(?[X]:((~curious(X)|~calm(X)))))&
(((~calm(susan)|humble(susa... | ~old(john) | [
"p1",
"p7",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8894165855207390607682353
% SZS output start Proof for 8894165855207390607682353
2. ! [X0] : ((~generous(X0) | brave(X0)) <=> ~tall(X0)) [input p1]
8. ? [X0] : (rich(X0) | ~tall(X0)) => (old(john) <~> calm(john)) [input p7]
9. ! [X0] : (~brave(X0) <=> (~kind(X0) & kind(X0))) [input p8]
19... | 0 |
Everyone who is either patient or not calm is tall.
Everyone who is not tall is either not tall or not quiet and vice versa.
If fred is either not brave or not quiet then someone is both not old and not kind.
Everyone who is humble is not rich or wise and vice versa.
Everyone who is not rich or rich is happy or curious... | Fred is humble. | entailment | (![X]:((patient(X)<~>~calm(X))=>tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)<~>~quiet(X))))&
(((~brave(fred)<~>~quiet(fred)))=>(?[X]:((~old(X)&~kind(X)))))&
(![X]:(humble(X)<=>(~rich(X)|wise(X))))&
(![X]:((~rich(X)|rich(X))=>(happy(X)|curious(X))))&
((?[X]:((curious(X)|~generous(X))))<=>(?[X]:(~brave(X))))&
(((~wise(alice)|w... | humble(fred) | [
"p1",
"p3",
"p5",
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3951306107463031728433960
% SZS output start Proof for 3951306107463031728433960
2. ! [X0] : (~tall(X0) <=> (~tall(X0) <~> ~quiet(X0))) [input p1]
4. ! [X0] : (humble(X0) <=> (wise(X0) | ~rich(X0))) [input p3]
6. ? [X0] : (~generous(X0) | curious(X0)) <=> ? [X0] : ~brave(X0) [input p5]
9.... | 0 |
Everyone who is both rich and curious is both not calm and humble.
If susan is not tall then someone is either humble or not tall and vice versa.
Everyone who is kind is either generous or patient and vice versa.
Everyone who is humble or creative is both calm and not humble and vice versa.
If someone is both humble an... | Mary is not rich. | entailment | (![X]:((rich(X)&curious(X))=>(~calm(X)&humble(X))))&
((~tall(susan))<=>(?[X]:((humble(X)<~>~tall(X)))))&
(![X]:(kind(X)<=>(generous(X)<~>patient(X))))&
(![X]:((humble(X)|creative(X))<=>(calm(X)&~humble(X))))&
((?[X]:((humble(X)&creative(X))))<=>(?[X]:(wise(X))))&
(![X]:(strong(X)<=>wise(X)))&
(![X]:((~humble(X)<~>~rich... | ~rich(mary) | [
"p3",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4469909241445394287815401
% SZS output start Proof for 4469909241445394287815401
4. ! [X0] : ((creative(X0) | humble(X0)) <=> (~humble(X0) & calm(X0))) [input p3]
7. ! [X0] : ((~humble(X0) <~> ~rich(X0)) => ~happy(X0)) [input p6]
12. ! [X0] : ((~happy(X0) | ~creative(X0)) <=> (calm(X0) & ... | 0 |
If mary is both quiet and not creative then paul is both old and happy and vice versa.
Everyone who is both not quiet and not funny is both old and not rich and vice versa.
Everyone who is not tall or not strong is either happy or not strong and vice versa.
Everyone who is not generous or tall is either not rich or tal... | Fred is funny. | contradiction | (((quiet(mary)&~creative(mary)))<=>((old(paul)&happy(paul))))&
(![X]:((~quiet(X)&~funny(X))<=>(old(X)&~rich(X))))&
(![X]:((~tall(X)|~strong(X))<=>(happy(X)<~>~strong(X))))&
(![X]:((~generous(X)|tall(X))=>(~rich(X)<~>tall(X))))&
(((curious(john)&~generous(john)))=>(?[X]:((~happy(X)|kind(X)))))&
((rich(fred))=>(?[X]:((~g... | funny(fred) | [
"p2",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4832751057554075899848621
% SZS output start Proof for 4832751057554075899848621
3. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (happy(X0) <~> ~strong(X0))) [input p2]
9. ! [X0] : ((~happy(X0) & funny(X0)) <=> (happy(X0) & old(X0))) [input p8]
17. tall(fred) [input p16]
25. funny(fred) [input... | 0 |
Everyone who is either humble or not quiet is not wise and vice versa. If someone is not tall then someone is either old or quiet and vice versa. If someone is both rich and funny then susan is happy. If john is not strong then someone is tall or not curious. Everyone who is kind is both humble and not kind. If mary is... | Susan is not calm. | contradiction | (![X]:((humble(X)<~>~quiet(X))<=>~wise(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((old(X)<~>quiet(X)))))&
((?[X]:((rich(X)&funny(X))))=>(happy(susan)))&
((~strong(john))=>(?[X]:((tall(X)|~curious(X)))))&
(![X]:(kind(X)=>(humble(X)&~kind(X))))&
(((patient(mary)|happy(mary)))=>((quiet(mary)<~>strong(mary))))&
(![X]:((happy(X)<~>o... | ~calm(susan) | [
"p1",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5557610883966639075828079
% SZS output start Proof for 5557610883966639075828079
2. ? [X0] : ~tall(X0) <=> ? [X0] : (old(X0) <~> quiet(X0)) [input p1]
8. ! [X0] : (~brave(X0) <=> (brave(X0) | tall(X0))) [input p7]
11. ! [X0] : (old(X0) <=> (~rich(X0) <~> quiet(X0))) [input p10]
13. ! [X0]... | 0 |
If john is either happy or calm then alice is both wise and not funny and vice versa. Everyone who is brave or old is happy and vice versa. If someone is not happy then paul is both not brave and strong and vice versa. Everyone who is both not quiet and not old is both creative and rich and vice versa. If someone is bo... | Paul is funny. | entailment | (((happy(john)<~>calm(john)))<=>((wise(alice)&~funny(alice))))&
(![X]:((brave(X)|old(X))<=>happy(X)))&
((?[X]:(~happy(X)))<=>((~brave(paul)&strong(paul))))&
(![X]:((~quiet(X)&~old(X))<=>(creative(X)&rich(X))))&
((?[X]:((brave(X)&calm(X))))<=>(?[X]:((~quiet(X)&generous(X)))))&
((?[X]:((calm(X)|~calm(X))))=>(?[X]:(patien... | funny(paul) | [
"p1",
"p2",
"p8",
"p10",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5258916842765208436263775
% SZS output start Proof for 5258916842765208436263775
2. ! [X0] : ((old(X0) | brave(X0)) <=> happy(X0)) [input p1]
3. ? [X0] : ~happy(X0) <=> (strong(paul) & ~brave(paul)) [input p2]
9. ! [X0] : ((~tall(X0) <~> ~patient(X0)) <=> ~old(X0)) [input p8]
11. ! [X0] :... | 0 |
Everyone who is not funny is either not funny or generous. Everyone who is not old is either brave or not kind and vice versa. If someone is either not tall or brave then paul is not calm or not tall and vice versa. Everyone who is both humble and happy is old and vice versa. If someone is tall then someone is wise or ... | Fred is kind. | entailment | (![X]:(~funny(X)=>(~funny(X)<~>generous(X))))&
(![X]:(~old(X)<=>(brave(X)<~>~kind(X))))&
((?[X]:((~tall(X)<~>brave(X))))<=>((~calm(paul)|~tall(paul))))&
(![X]:((humble(X)&happy(X))<=>old(X)))&
((?[X]:(tall(X)))<=>(?[X]:((wise(X)|~old(X)))))&
((?[X]:((~curious(X)|old(X))))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((curi... | kind(fred) | [
"p1",
"p3",
"p6",
"p10",
"p11",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5235694188303261274692079
% SZS output start Proof for 5235694188303261274692079
2. ! [X0] : (~old(X0) <=> (brave(X0) <~> ~kind(X0))) [input p1]
4. ! [X0] : ((happy(X0) & humble(X0)) <=> old(X0)) [input p3]
7. ! [X0] : ((kind(X0) & curious(X0)) <=> ~generous(X0)) [input p6]
11. ? [X0] : (... | 0 |
Everyone who is not patient or curious is funny and vice versa. If fred is either quiet or not rich then susan is not old. Everyone who is both brave and funny is curious or generous and vice versa. Everyone who is both strong and funny is either humble or wise. Everyone who is either not curious or happy is either kin... | Paul is not generous. | neutral | (![X]:((~patient(X)|curious(X))<=>funny(X)))&
(((quiet(fred)<~>~rich(fred)))=>(~old(susan)))&
(![X]:((brave(X)&funny(X))<=>(curious(X)|generous(X))))&
(![X]:((strong(X)&funny(X))=>(humble(X)<~>wise(X))))&
(![X]:((~curious(X)<~>happy(X))=>(kind(X)<~>~old(X))))&
(![X]:((~old(X)<~>calm(X))=>quiet(X)))&
(![X]:((~patient(X)... | ~generous(paul) | [] | null | 0 |
If someone is not strong or not calm then someone is either quiet or not quiet and vice versa. Everyone who is both not creative and strong is either not strong or not happy. Everyone who is either not strong or not funny is not wise and vice versa. If alice is either not happy or not brave then alice is both kind and ... | Alice is not strong. | contradiction | ((?[X]:((~strong(X)|~calm(X))))<=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~creative(X)&strong(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>~wise(X)))&
(((~happy(alice)<~>~brave(alice)))<=>((kind(alice)&calm(alice))))&
(![X]:((~wise(X)<~>~funny(X))<=>(~funny(X)&wise(X))))&
(((strong(mary)|humble(... | ~strong(alice) | [
"p2",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4060052675034723499447912
% SZS output start Proof for 4060052675034723499447912
3. ! [X0] : ((~strong(X0) <~> ~funny(X0)) <=> ~wise(X0)) [input p2]
5. ! [X0] : ((~wise(X0) <~> ~funny(X0)) <=> (wise(X0) & ~funny(X0))) [input p4]
7. ! [X0] : (~strong(X0) => kind(X0)) [input p6]
8. ! [X0] :... | 0 |
If someone is strong then someone is either not tall or not quiet and vice versa.
If lucy is tall then someone is creative or not kind and vice versa.
If someone is either calm or humble then someone is curious.
Everyone who is not tall is old or not generous and vice versa.
If john is quiet or not tall then john is cr... | Lucy is kind. | entailment | ((?[X]:(strong(X)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
((tall(lucy))<=>(?[X]:((creative(X)|~kind(X)))))&
((?[X]:((calm(X)<~>humble(X))))=>(?[X]:(curious(X))))&
(![X]:(~tall(X)<=>(old(X)|~generous(X))))&
(((quiet(john)|~tall(john)))<=>((creative(john)|~tall(john))))&
((?[X]:((curious(X)&quiet(X))))<=>(?[X]:((~kind(X)|w... | kind(lucy) | [
"p1",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 255825358463260435475449
% SZS output start Proof for 255825358463260435475449
2. tall(lucy) <=> ? [X0] : (~kind(X0) | creative(X0)) [input p1]
4. ! [X0] : (~tall(X0) <=> (~generous(X0) | old(X0))) [input p3]
8. ! [X0] : ((generous(X0) | ~humble(X0)) <=> (wise(X0) & old(X0))) [input p7]
2... | 0 |
Everyone who is calm or old is strong or curious. Everyone who is either patient or not rich is both wise and rich. If someone is not generous or not quiet then someone is both not quiet and patient and vice versa. Everyone who is not funny is either not tall or not happy and vice versa. Everyone who is both happy and ... | John is not strong. | neutral | (![X]:((calm(X)|old(X))=>(strong(X)|curious(X))))&
(![X]:((patient(X)<~>~rich(X))=>(wise(X)&rich(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(~funny(X)<=>(~tall(X)<~>~happy(X))))&
(![X]:((happy(X)&~wise(X))<=>(~patient(X)<~>~calm(X))))&
((?[X]:(funny(X)))=>(brave(fred)))&
(![X]:(... | ~strong(john) | [] | null | 0 |
If mary is generous then lucy is not happy or quiet.
Everyone who is creative or patient is either old or generous and vice versa.
Everyone who is either not old or not generous is either not quiet or curious and vice versa.
Everyone who is patient or brave is not happy or not rich.
If alice is not strong or not curiou... | John is not wise. | neutral | ((generous(mary))=>((~happy(lucy)|quiet(lucy))))&
(![X]:((creative(X)|patient(X))<=>(old(X)<~>generous(X))))&
(![X]:((~old(X)<~>~generous(X))<=>(~quiet(X)<~>curious(X))))&
(![X]:((patient(X)|brave(X))=>(~happy(X)|~rich(X))))&
(((~strong(alice)|~curious(alice)))<=>(patient(lucy)))&
((?[X]:((creative(X)<~>~wise(X))))=>(?... | ~wise(john) | [] | null | 0 |
Everyone who is both not generous and funny is either generous or not funny. Everyone who is either kind or not funny is not calm or funny and vice versa. If someone is not humble or old then someone is creative. If john is either not curious or not happy then susan is either not generous or not humble. Everyone who is... | Fred is curious. | contradiction | (![X]:((~generous(X)&funny(X))=>(generous(X)<~>~funny(X))))&
(![X]:((kind(X)<~>~funny(X))<=>(~calm(X)|funny(X))))&
((?[X]:((~humble(X)|old(X))))=>(?[X]:(creative(X))))&
(((~curious(john)<~>~happy(john)))=>((~generous(susan)<~>~humble(susan))))&
(![X]:((strong(X)&~quiet(X))=>~tall(X)))&
(![X]:((humble(X)&~curious(X))<=>... | curious(fred) | [
"p0",
"p5",
"p8",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 485441118020594469898717
% SZS output start Proof for 485441118020594469898717
1. ! [X0] : ((funny(X0) & ~generous(X0)) => (generous(X0) <~> ~funny(X0))) [input p0]
6. ! [X0] : ((~curious(X0) & humble(X0)) <=> (generous(X0) <~> strong(X0))) [input p5]
9. ! [X0] : ((funny(X0) <~> ~strong(X... | 0 |
If lucy is either not wise or not rich then fred is not humble.
Everyone who is both tall and generous is both not funny and old and vice versa.
If alice is brave or rich then someone is either not strong or humble and vice versa.
Everyone who is funny is either funny or brave and vice versa.
If someone is not creative... | Mary is generous. | contradiction | (((~wise(lucy)<~>~rich(lucy)))=>(~humble(fred)))&
(![X]:((tall(X)&generous(X))<=>(~funny(X)&old(X))))&
(((brave(alice)|rich(alice)))<=>(?[X]:((~strong(X)<~>humble(X)))))&
(![X]:(funny(X)<=>(funny(X)<~>brave(X))))&
((?[X]:(~creative(X)))<=>(~wise(paul)))&
(![X]:(~strong(X)<=>(tall(X)&kind(X))))&
(![X]:((strong(X)<~>~ric... | generous(mary) | [
"p3",
"p6",
"p7",
"p8",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1119842018292875680601773
% SZS output start Proof for 1119842018292875680601773
4. ! [X0] : (funny(X0) <=> (funny(X0) <~> brave(X0))) [input p3]
7. ! [X0] : ((strong(X0) <~> ~rich(X0)) <=> ~wise(X0)) [input p6]
8. ! [X0] : ((~quiet(X0) & kind(X0)) <=> (~wise(X0) | calm(X0))) [input p7]
9... | 0 |
If alice is both happy and old then someone is not calm and vice versa. Everyone who is either not brave or quiet is both happy and not creative. If mary is either not kind or old then john is not brave and vice versa. Everyone who is calm or not creative is both not funny and not humble and vice versa. Everyone who is... | John is not creative. | neutral | (((happy(alice)&old(alice)))<=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)<~>quiet(X))=>(happy(X)&~creative(X))))&
(((~kind(mary)<~>old(mary)))<=>(~brave(john)))&
(![X]:((calm(X)|~creative(X))<=>(~funny(X)&~humble(X))))&
(![X]:((old(X)&~curious(X))=>(~quiet(X)|~wise(X))))&
(![X]:((humble(X)&generous(X))=>(calm(X)&~funny(X)))... | ~creative(john) | [] | null | 0 |
Everyone who is rich is both brave and not wise and vice versa. If susan is either not calm or not funny then susan is both not humble and not happy and vice versa. Everyone who is brave is happy. Everyone who is both curious and old is not rich. If someone is humble then someone is both strong and calm and vice versa.... | Alice is rich. | contradiction | (![X]:(rich(X)<=>(brave(X)&~wise(X))))&
(((~calm(susan)<~>~funny(susan)))<=>((~humble(susan)&~happy(susan))))&
(![X]:(brave(X)=>happy(X)))&
(![X]:((curious(X)&old(X))=>~rich(X)))&
((?[X]:(humble(X)))<=>(?[X]:((strong(X)&calm(X)))))&
((?[X]:(~kind(X)))=>((~brave(alice)|~generous(alice))))&
(![X]:((brave(X)&patient(X))<=... | rich(alice) | [
"p0",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8052138574088243858629475
% SZS output start Proof for 8052138574088243858629475
1. ! [X0] : (rich(X0) <=> (~wise(X0) & brave(X0))) [input p0]
7. ! [X0] : ((patient(X0) & brave(X0)) <=> (~patient(X0) & creative(X0))) [input p6]
15. ! [X0] : (~brave(X0) <=> (quiet(X0) | ~creative(X0))) [in... | 0 |
Everyone who is both not curious and old is both calm and creative and vice versa. Everyone who is both not calm and calm is either not quiet or not happy. If fred is not humble then fred is humble. Everyone who is either brave or not creative is both not creative and wise and vice versa. If susan is both not strong an... | Alice is creative. | contradiction | (![X]:((~curious(X)&old(X))<=>(calm(X)&creative(X))))&
(![X]:((~calm(X)&calm(X))=>(~quiet(X)<~>~happy(X))))&
((~humble(fred))=>(humble(fred)))&
(![X]:((brave(X)<~>~creative(X))<=>(~creative(X)&wise(X))))&
(((~strong(susan)&~happy(susan)))<=>(?[X]:((generous(X)&kind(X)))))&
(![X]:(generous(X)<=>(old(X)<~>creative(X))))&... | creative(alice) | [
"p3",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 120401689794819445407052
% SZS output start Proof for 120401689794819445407052
4. ! [X0] : ((brave(X0) <~> ~creative(X0)) <=> (wise(X0) & ~creative(X0))) [input p3]
16. ! [X0] : ((tall(X0) & ~brave(X0)) => (~strong(X0) & ~tall(X0))) [input p15]
17. tall(alice) [input p16]
25. creative(ali... | 0 |
Everyone who is either not brave or not wise is old and vice versa.
Everyone who is not funny or not kind is happy or calm and vice versa.
If lucy is curious then someone is not patient or old.
Everyone who is wise or not old is not humble or patient and vice versa.
Everyone who is either not old or brave is not old an... | Paul is not patient. | contradiction | (![X]:((~brave(X)<~>~wise(X))<=>old(X)))&
(![X]:((~funny(X)|~kind(X))<=>(happy(X)|calm(X))))&
((curious(lucy))=>(?[X]:((~patient(X)|old(X)))))&
(![X]:((wise(X)|~old(X))<=>(~humble(X)|patient(X))))&
(![X]:((~old(X)<~>brave(X))<=>~old(X)))&
(![X]:((~patient(X)|~calm(X))=>(~brave(X)&humble(X))))&
(((generous(fred)&~calm(f... | ~patient(paul) | [
"p0",
"p3",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 555249525226092257145173
% SZS output start Proof for 555249525226092257145173
1. ! [X0] : ((~brave(X0) <~> ~wise(X0)) <=> old(X0)) [input p0]
4. ! [X0] : ((~old(X0) | wise(X0)) <=> (patient(X0) | ~humble(X0))) [input p3]
5. ! [X0] : ((~old(X0) <~> brave(X0)) <=> ~old(X0)) [input p4]
6. !... | 0 |
Everyone who is both not old and patient is both rich and not brave and vice versa.
If mary is not strong or quiet then fred is tall or quiet and vice versa.
Everyone who is both not curious and not brave is not tall.
Everyone who is quiet is old or rich.
If someone is quiet then susan is either old or not happy.
Every... | Paul is not kind. | neutral | (![X]:((~old(X)&patient(X))<=>(rich(X)&~brave(X))))&
(((~strong(mary)|quiet(mary)))<=>((tall(fred)|quiet(fred))))&
(![X]:((~curious(X)&~brave(X))=>~tall(X)))&
(![X]:(quiet(X)=>(old(X)|rich(X))))&
((?[X]:(quiet(X)))=>((old(susan)<~>~happy(susan))))&
(![X]:((creative(X)<~>~happy(X))=>(tall(X)<~>~tall(X))))&
(((~happy(mar... | ~kind(paul) | [] | null | 0 |
Everyone who is either happy or patient is both not rich and quiet and vice versa.
If fred is wise then someone is both generous and strong.
If someone is both kind and not creative then someone is patient.
Everyone who is both not creative and not curious is creative and vice versa.
Everyone who is both not rich and w... | John is tall. | contradiction | (![X]:((happy(X)<~>patient(X))<=>(~rich(X)&quiet(X))))&
((wise(fred))=>(?[X]:((generous(X)&strong(X)))))&
((?[X]:((kind(X)&~creative(X))))=>(?[X]:(patient(X))))&
(![X]:((~creative(X)&~curious(X))<=>creative(X)))&
(![X]:((~rich(X)&wise(X))=>(~humble(X)|~kind(X))))&
(![X]:((~calm(X)&~old(X))<=>(~kind(X)|~humble(X))))&
((... | tall(john) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4715501888722366297868028
% SZS output start Proof for 4715501888722366297868028
3. ? [X0] : (~creative(X0) & kind(X0)) => ? [X0] : patient(X0) [input p2]
4. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> creative(X0)) [input p3]
6. ! [X0] : ((~old(X0) & ~calm(X0)) <=> (~humble(X0) | ~kind(... | 0 |
Everyone who is either not wise or not funny is not quiet or not tall.
Everyone who is both rich and not kind is either not funny or not brave and vice versa.
If susan is brave or happy then someone is brave or tall and vice versa.
If someone is not quiet or not curious then paul is both quiet and funny.
Everyone who i... | John is not calm. | contradiction | (![X]:((~wise(X)<~>~funny(X))=>(~quiet(X)|~tall(X))))&
(![X]:((rich(X)&~kind(X))<=>(~funny(X)<~>~brave(X))))&
(((brave(susan)|happy(susan)))<=>(?[X]:((brave(X)|tall(X)))))&
((?[X]:((~quiet(X)|~curious(X))))=>((quiet(paul)&funny(paul))))&
(![X]:(~patient(X)=>(funny(X)<~>~brave(X))))&
(![X]:((creative(X)<~>~quiet(X))<=>(... | ~calm(john) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3277298087909691486456952
% SZS output start Proof for 3277298087909691486456952
9. ! [X0] : ((~strong(X0) | patient(X0)) <=> (calm(X0) & happy(X0))) [input p8]
11. ! [X0] : ((~generous(X0) | strong(X0)) => (brave(X0) & ~brave(X0))) [input p10]
20. ~calm(john) [input hypothesis]
27. ! [X0... | 0 |
If mary is both rich and happy then someone is either not kind or not rich. If someone is not happy or not brave then susan is both calm and not rich. If someone is either not funny or funny then paul is either not calm or not tall and vice versa. If someone is both generous and not generous then someone is kind and vi... | Mary is rich. | neutral | (((rich(mary)&happy(mary)))=>(?[X]:((~kind(X)<~>~rich(X)))))&
((?[X]:((~happy(X)|~brave(X))))=>((calm(susan)&~rich(susan))))&
((?[X]:((~funny(X)<~>funny(X))))<=>((~calm(paul)<~>~tall(paul))))&
((?[X]:((generous(X)&~generous(X))))<=>(?[X]:(kind(X))))&
(![X]:(~funny(X)<=>(~calm(X)|~generous(X))))&
(((patient(alice)&~gene... | rich(mary) | [] | null | 0 |
Everyone who is either kind or not tall is both not humble and not curious and vice versa.
Everyone who is either generous or not tall is both not patient and brave.
If fred is not curious or funny then lucy is not generous or patient and vice versa.
If lucy is not rich then fred is strong or funny.
Everyone who is cal... | Alice is not calm. | neutral | (![X]:((kind(X)<~>~tall(X))<=>(~humble(X)&~curious(X))))&
(![X]:((generous(X)<~>~tall(X))=>(~patient(X)&brave(X))))&
(((~curious(fred)|funny(fred)))<=>((~generous(lucy)|patient(lucy))))&
((~rich(lucy))=>((strong(fred)|funny(fred))))&
(![X]:(calm(X)=>(kind(X)&~wise(X))))&
(![X]:(generous(X)<=>(~creative(X)<~>wise(X))))&... | ~calm(alice) | [] | null | 0 |
Everyone who is not calm is both funny and brave and vice versa.
Everyone who is either strong or happy is not strong or calm.
If someone is not brave then mary is either wise or not happy.
Everyone who is either rich or not strong is quiet.
If someone is not wise then someone is either funny or not funny.
Everyone who... | Lucy is generous. | contradiction | (![X]:(~calm(X)<=>(funny(X)&brave(X))))&
(![X]:((strong(X)<~>happy(X))=>(~strong(X)|calm(X))))&
((?[X]:(~brave(X)))=>((wise(mary)<~>~happy(mary))))&
(![X]:((rich(X)<~>~strong(X))=>quiet(X)))&
((?[X]:(~wise(X)))=>(?[X]:((funny(X)<~>~funny(X)))))&
(![X]:(~old(X)<=>quiet(X)))&
(((wise(lucy)|creative(lucy)))=>(~rich(lucy))... | generous(lucy) | [
"p5",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1221605205208214055157933
% SZS output start Proof for 1221605205208214055157933
6. ! [X0] : (~old(X0) <=> quiet(X0)) [input p5]
11. ! [X0] : (~quiet(X0) <=> (old(X0) <~> strong(X0))) [input p10]
14. ? [X0] : (generous(X0) | happy(X0)) => ? [X0] : (old(X0) & brave(X0)) [input p13]
16. ! [... | 0 |
Everyone who is both kind and humble is generous and vice versa.
Everyone who is kind is both not brave and not rich.
If lucy is either not wise or brave then john is brave and vice versa.
Everyone who is generous or quiet is old or not generous and vice versa.
Everyone who is not brave or not happy is both not quiet a... | Lucy is funny. | entailment | (![X]:((kind(X)&humble(X))<=>generous(X)))&
(![X]:(kind(X)=>(~brave(X)&~rich(X))))&
(((~wise(lucy)<~>brave(lucy)))<=>(brave(john)))&
(![X]:((generous(X)|quiet(X))<=>(old(X)|~generous(X))))&
(![X]:((~brave(X)|~happy(X))=>(~quiet(X)&generous(X))))&
(![X]:((~wise(X)<~>~humble(X))=>happy(X)))&
(![X]:(calm(X)=>(quiet(X)|~ca... | funny(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 476692954110453651797418
% SZS output start Proof for 476692954110453651797418
1. ! [X0] : ((humble(X0) & kind(X0)) <=> generous(X0)) [input p0]
2. ! [X0] : (kind(X0) => (~rich(X0) & ~brave(X0))) [input p1]
4. ! [X0] : ((quiet(X0) | generous(X0)) <=> (~generous(X0) | old(X0))) [input p3]
... | 0 |
Everyone who is both not strong and strong is calm and vice versa. If fred is either not rich or not patient then fred is both quiet and not brave. If someone is not happy or funny then mary is either not brave or curious. Everyone who is both calm and wise is either rich or wise and vice versa. If paul is not humble t... | Mary is not brave. | entailment | (![X]:((~strong(X)&strong(X))<=>calm(X)))&
(((~rich(fred)<~>~patient(fred)))=>((quiet(fred)&~brave(fred))))&
((?[X]:((~happy(X)|funny(X))))=>((~brave(mary)<~>curious(mary))))&
(![X]:((calm(X)&wise(X))<=>(rich(X)<~>wise(X))))&
((~humble(paul))=>(?[X]:((~curious(X)&brave(X)))))&
(![X]:((~brave(X)|patient(X))<=>(patient(X... | ~brave(mary) | [
"p0",
"p3",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3932569299506467703907862
% SZS output start Proof for 3932569299506467703907862
1. ! [X0] : ((strong(X0) & ~strong(X0)) <=> calm(X0)) [input p0]
4. ! [X0] : ((wise(X0) & calm(X0)) <=> (rich(X0) <~> wise(X0))) [input p3]
9. ? [X0] : (brave(X0) | ~wise(X0)) <=> ? [X0] : (~rich(X0) & kind(X... | 0 |
Everyone who is either curious or calm is not kind or not curious and vice versa.
Everyone who is either curious or quiet is not curious or not old and vice versa.
Everyone who is not old is both strong and creative and vice versa.
If mary is not funny or kind then alice is both not calm and tall.
Everyone who is old i... | Alice is patient. | entailment | (![X]:((curious(X)<~>calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((curious(X)<~>quiet(X))<=>(~curious(X)|~old(X))))&
(![X]:(~old(X)<=>(strong(X)&creative(X))))&
(((~funny(mary)|kind(mary)))=>((~calm(alice)&tall(alice))))&
(![X]:(old(X)<=>(rich(X)&brave(X))))&
(![X]:((curious(X)|generous(X))=>(~rich(X)&calm(X))))&
((~gen... | patient(alice) | [
"p1",
"p2",
"p4",
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5615928222303719439723292
% SZS output start Proof for 5615928222303719439723292
2. ! [X0] : ((curious(X0) <~> quiet(X0)) <=> (~old(X0) | ~curious(X0))) [input p1]
3. ! [X0] : (~old(X0) <=> (creative(X0) & strong(X0))) [input p2]
5. ! [X0] : (old(X0) <=> (brave(X0) & rich(X0))) [input p4]... | 0 |
If lucy is both humble and not creative then someone is patient.
Everyone who is not generous or not happy is both not strong and not curious.
Everyone who is not calm or generous is both generous and not kind and vice versa.
If mary is both not quiet and calm then someone is tall or kind and vice versa.
Everyone who i... | Alice is brave. | contradiction | (((humble(lucy)&~creative(lucy)))=>(?[X]:(patient(X))))&
(![X]:((~generous(X)|~happy(X))=>(~strong(X)&~curious(X))))&
(![X]:((~calm(X)|generous(X))<=>(generous(X)&~kind(X))))&
(((~quiet(mary)&calm(mary)))<=>(?[X]:((tall(X)|kind(X)))))&
(![X]:((tall(X)<~>calm(X))<=>(rich(X)|humble(X))))&
((?[X]:((~rich(X)&tall(X))))=>((... | brave(alice) | [
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7148489980368747194808362
% SZS output start Proof for 7148489980368747194808362
12. ! [X0] : (happy(X0) <=> (rich(X0) <~> brave(X0))) [input p11]
14. ! [X0] : ((~calm(X0) | ~humble(X0)) <=> (calm(X0) & creative(X0))) [input p13]
16. ! [X0] : ((~calm(X0) & wise(X0)) <=> (~rich(X0) <~> ~ha... | 0 |
If someone is brave or not calm then someone is both humble and rich and vice versa.
Everyone who is either not wise or kind is both generous and rich.
Everyone who is either not generous or not rich is either not humble or not funny and vice versa.
If someone is wise then alice is wise and vice versa.
If susan is not ... | Paul is not humble. | neutral | ((?[X]:((brave(X)|~calm(X))))<=>(?[X]:((humble(X)&rich(X)))))&
(![X]:((~wise(X)<~>kind(X))=>(generous(X)&rich(X))))&
(![X]:((~generous(X)<~>~rich(X))<=>(~humble(X)<~>~funny(X))))&
((?[X]:(wise(X)))<=>(wise(alice)))&
(((~kind(susan)|happy(susan)))<=>((funny(mary)|~tall(mary))))&
(((~funny(john)<~>calm(john)))<=>((happy(... | ~humble(paul) | [] | null | 0 |
If mary is happy or not old then fred is either not quiet or kind and vice versa. Everyone who is wise is not generous or not quiet. If someone is either not creative or not quiet then fred is either funny or quiet. If someone is quiet or not kind then paul is not rich or not creative and vice versa. If susan is not fu... | Alice is not rich. | entailment | (((happy(mary)|~old(mary)))<=>((~quiet(fred)<~>kind(fred))))&
(![X]:(wise(X)=>(~generous(X)|~quiet(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>((funny(fred)<~>quiet(fred))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~rich(paul)|~creative(paul))))&
(((~funny(susan)|brave(susan)))<=>(?[X]:((tall(X)|quiet(X)))))&
(((funny(john)... | ~rich(alice) | [
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5505106089736871553553268
% SZS output start Proof for 5505106089736871553553268
9. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> ~old(X0)) [input p8]
13. ! [X0] : ((curious(X0) | patient(X0)) <=> ~rich(X0)) [input p12]
14. ? [X0] : ~humble(X0) <=> ? [X0] : (~wise(X0) | ~patient(X0)) [input p1... | 0 |
Everyone who is calm is not brave and vice versa.
If someone is both not creative and quiet then susan is not tall or kind and vice versa.
If someone is old then someone is not funny or kind.
Everyone who is both not happy and not kind is tall.
Everyone who is happy or strong is either not calm or wise and vice versa.
... | Susan is not strong. | entailment | (![X]:(calm(X)<=>~brave(X)))&
((?[X]:((~creative(X)&quiet(X))))<=>((~tall(susan)|kind(susan))))&
((?[X]:(old(X)))=>(?[X]:((~funny(X)|kind(X)))))&
(![X]:((~happy(X)&~kind(X))=>tall(X)))&
(![X]:((happy(X)|strong(X))<=>(~calm(X)<~>wise(X))))&
(![X]:((brave(X)<~>~old(X))=>(~humble(X)|rich(X))))&
(((brave(mary)<~>rich(mary)... | ~strong(susan) | [
"p4",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4712870446880267392890163
% SZS output start Proof for 4712870446880267392890163
5. ! [X0] : ((strong(X0) | happy(X0)) <=> (~calm(X0) <~> wise(X0))) [input p4]
22. calm(susan) & ~generous(susan) [input p21]
23. ~wise(susan) [input p22]
24. strong(susan) [input hypothesis]
29. calm(susan) ... | 0 |
Everyone who is both kind and old is both old and not kind and vice versa.
Everyone who is both quiet and patient is either not generous or happy.
Everyone who is either not patient or not curious is both curious and not generous.
Everyone who is not happy or happy is funny and vice versa.
If someone is both not creati... | Paul is not calm. | neutral | (![X]:((kind(X)&old(X))<=>(old(X)&~kind(X))))&
(![X]:((quiet(X)&patient(X))=>(~generous(X)<~>happy(X))))&
(![X]:((~patient(X)<~>~curious(X))=>(curious(X)&~generous(X))))&
(![X]:((~happy(X)|happy(X))<=>funny(X)))&
((?[X]:((~creative(X)&~curious(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(((~kind(paul)&~strong(paul)))<=>... | ~calm(paul) | [] | null | 0 |
Everyone who is not happy or curious is both quiet and not creative.
If fred is either not kind or not rich then alice is either not tall or patient.
Everyone who is both not tall and calm is brave or not rich and vice versa.
If paul is tall then alice is both curious and wise and vice versa.
Everyone who is tall or hu... | Fred is not creative. | neutral | (![X]:((~happy(X)|curious(X))=>(quiet(X)&~creative(X))))&
(((~kind(fred)<~>~rich(fred)))=>((~tall(alice)<~>patient(alice))))&
(![X]:((~tall(X)&calm(X))<=>(brave(X)|~rich(X))))&
((tall(paul))<=>((curious(alice)&wise(alice))))&
(![X]:((tall(X)|humble(X))<=>(kind(X)|creative(X))))&
(![X]:(old(X)<=>(rich(X)<~>funny(X))))&
... | ~creative(fred) | [] | null | 0 |
If someone is not funny then mary is either happy or not brave. If john is both rich and curious then susan is either not funny or not happy and vice versa. If paul is not wise or strong then someone is brave. Everyone who is both not strong and not funny is both strong and calm and vice versa. Everyone who is not old ... | Paul is tall. | entailment | ((?[X]:(~funny(X)))=>((happy(mary)<~>~brave(mary))))&
(((rich(john)&curious(john)))<=>((~funny(susan)<~>~happy(susan))))&
(((~wise(paul)|strong(paul)))=>(?[X]:(brave(X))))&
(![X]:((~strong(X)&~funny(X))<=>(strong(X)&calm(X))))&
(![X]:((~old(X)|~happy(X))=>~wise(X)))&
((~rich(alice))=>(~patient(susan)))&
(((~old(lucy)|~... | tall(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5883878180175735984796963
% SZS output start Proof for 5883878180175735984796963
9. ! [X0] : (~tall(X0) <=> (~wise(X0) & wise(X0))) [input p8]
24. ~tall(paul) [input hypothesis]
52. ! [X0] : ((~tall(X0) | (wise(X0) | ~wise(X0))) & ((~wise(X0) & wise(X0)) | tall(X0))) [nnf transformation 9... | 0 |
Everyone who is both creative and generous is rich or kind and vice versa.
Everyone who is both not strong and happy is patient or rich.
If lucy is not curious or not happy then susan is either patient or not kind.
If someone is either not tall or wise then alice is not happy or wise.
If someone is both not tall and cr... | Alice is not happy. | contradiction | (![X]:((creative(X)&generous(X))<=>(rich(X)|kind(X))))&
(![X]:((~strong(X)&happy(X))=>(patient(X)|rich(X))))&
(((~curious(lucy)|~happy(lucy)))=>((patient(susan)<~>~kind(susan))))&
((?[X]:((~tall(X)<~>wise(X))))=>((~happy(alice)|wise(alice))))&
((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((patient(X)&wise(X)))))&
(![X]:((~... | ~happy(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8283006600431253111274026
% SZS output start Proof for 8283006600431253111274026
23. happy(alice) & ~funny(alice) [input p22]
24. ~happy(alice) [input hypothesis]
122. happy(alice) [cnf transformation 23]
123. ~happy(alice) [cnf transformation 24]
149. 6 <=> happy(alice) [avatar definitio... | 0 |
If paul is brave then someone is both not calm and brave and vice versa. Everyone who is quiet or not happy is quiet or old and vice versa. If mary is not wise or creative then someone is either not rich or not quiet and vice versa. Everyone who is kind is either not kind or not curious and vice versa. If someone is cr... | Alice is generous. | contradiction | ((brave(paul))<=>(?[X]:((~calm(X)&brave(X)))))&
(![X]:((quiet(X)|~happy(X))<=>(quiet(X)|old(X))))&
(((~wise(mary)|creative(mary)))<=>(?[X]:((~rich(X)<~>~quiet(X)))))&
(![X]:(kind(X)<=>(~kind(X)<~>~curious(X))))&
((?[X]:((creative(X)|~kind(X))))<=>(?[X]:(strong(X))))&
(((quiet(paul)|creative(paul)))=>(?[X]:((creative(X)... | generous(alice) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3605477607008941225629064
% SZS output start Proof for 3605477607008941225629064
4. ! [X0] : (kind(X0) <=> (~kind(X0) <~> ~curious(X0))) [input p3]
15. curious(fred) <=> ? [X0] : generous(X0) [input p14]
24. generous(alice) [input hypothesis]
47. ! [X0] : ((kind(X0) | ((~kind(X0) | curiou... | 0 |
If fred is both tall and not calm then someone is both happy and not tall. If paul is both tall and not happy then someone is both calm and happy. Everyone who is creative is both not funny and rich. If lucy is either generous or not rich then someone is happy or not funny and vice versa. Everyone who is either humble ... | Alice is not tall. | neutral | (((tall(fred)&~calm(fred)))=>(?[X]:((happy(X)&~tall(X)))))&
(((tall(paul)&~happy(paul)))=>(?[X]:((calm(X)&happy(X)))))&
(![X]:(creative(X)=>(~funny(X)&rich(X))))&
(((generous(lucy)<~>~rich(lucy)))<=>(?[X]:((happy(X)|~funny(X)))))&
(![X]:((humble(X)<~>~calm(X))=>~happy(X)))&
(![X]:(happy(X)<=>humble(X)))&
(![X]:((~curio... | ~tall(alice) | [] | null | 0 |
Everyone who is not quiet is both not quiet and not curious and vice versa.
If alice is old then john is tall.
Everyone who is patient or not funny is not rich or funny and vice versa.
If someone is not calm or generous then someone is either not kind or not wise.
Everyone who is either not old or not brave is both not... | Alice is not happy. | neutral | (![X]:(~quiet(X)<=>(~quiet(X)&~curious(X))))&
((old(alice))=>(tall(john)))&
(![X]:((patient(X)|~funny(X))<=>(~rich(X)|funny(X))))&
((?[X]:((~calm(X)|generous(X))))=>(?[X]:((~kind(X)<~>~wise(X)))))&
(![X]:((~old(X)<~>~brave(X))<=>(~strong(X)&~rich(X))))&
(((~creative(alice)<~>~quiet(alice)))=>(?[X]:((~rich(X)&~calm(X)))... | ~happy(alice) | [] | null | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or creative.
Everyone who is not old is not brave and vice versa.
Everyone who is both not old and wise is rich or not old.
If someone is not brave or not patient then fred is old and vice versa.
... | Fred is not tall. | neutral | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|creative(X)))))&
(![X]:(~old(X)<=>~brave(X)))&
(![X]:((~old(X)&wise(X))=>(rich(X)|~old(X))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X)... | ~tall(fred) | [] | null | 0 |
If someone is rich then someone is both not calm and not humble and vice versa. If someone is both not generous and not brave then someone is either not rich or wise. If john is either creative or patient then someone is either not kind or funny and vice versa. Everyone who is not kind is both not strong and kind. Ever... | Fred is generous. | entailment | ((?[X]:(rich(X)))<=>(?[X]:((~calm(X)&~humble(X)))))&
((?[X]:((~generous(X)&~brave(X))))=>(?[X]:((~rich(X)<~>wise(X)))))&
(((creative(john)<~>patient(john)))<=>(?[X]:((~kind(X)<~>funny(X)))))&
(![X]:(~kind(X)=>(~strong(X)&kind(X))))&
(![X]:((~curious(X)|quiet(X))<=>(~happy(X)|curious(X))))&
(![X]:((wise(X)|~strong(X))<=... | generous(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 242876472448372653544948
% SZS output start Proof for 242876472448372653544948
14. ? [X0] : ~generous(X0) => generous(fred) [input p13]
24. ~generous(fred) [input hypothesis]
31. generous(fred) | ! [X0] : generous(X0) [ennf transformation 14]
132. generous(fred) | generous(X0) [cnf transf... | 0 |
Everyone who is not happy or not old is tall or not wise. If susan is both funny and not tall then paul is old or not creative. Everyone who is not patient or old is either wise or strong. Everyone who is both tall and generous is old or tall. Everyone who is both not wise and not old is both quiet and humble and vice ... | Fred is brave. | neutral | (![X]:((~happy(X)|~old(X))=>(tall(X)|~wise(X))))&
(((funny(susan)&~tall(susan)))=>((old(paul)|~creative(paul))))&
(![X]:((~patient(X)|old(X))=>(wise(X)<~>strong(X))))&
(![X]:((tall(X)&generous(X))=>(old(X)|tall(X))))&
(![X]:((~wise(X)&~old(X))<=>(quiet(X)&humble(X))))&
((happy(fred))<=>(?[X]:((~happy(X)&~generous(X))))... | brave(fred) | [] | null | 0 |
Everyone who is not curious or tall is not quiet or not calm.
Everyone who is not patient is not curious or not kind.
Everyone who is not old or not brave is happy and vice versa.
If fred is both not tall and not brave then mary is both happy and not funny.
If someone is both happy and kind then someone is either not w... | Mary is not rich. | neutral | (![X]:((~curious(X)|tall(X))=>(~quiet(X)|~calm(X))))&
(![X]:(~patient(X)=>(~curious(X)|~kind(X))))&
(![X]:((~old(X)|~brave(X))<=>happy(X)))&
(((~tall(fred)&~brave(fred)))=>((happy(mary)&~funny(mary))))&
((?[X]:((happy(X)&kind(X))))=>(?[X]:((~wise(X)<~>rich(X)))))&
(![X]:((kind(X)|old(X))<=>(~generous(X)|patient(X))))&
... | ~rich(mary) | [] | null | 0 |
Everyone who is rich is both not calm and not strong and vice versa.
Everyone who is brave or not quiet is either calm or not strong and vice versa.
If someone is either brave or not generous then john is both not tall and not humble.
If someone is both old and not brave then someone is not humble.
Everyone who is eith... | Lucy is not strong. | neutral | (![X]:(rich(X)<=>(~calm(X)&~strong(X))))&
(![X]:((brave(X)|~quiet(X))<=>(calm(X)<~>~strong(X))))&
((?[X]:((brave(X)<~>~generous(X))))=>((~tall(john)&~humble(john))))&
((?[X]:((old(X)&~brave(X))))=>(?[X]:(~humble(X))))&
(![X]:((kind(X)<~>~calm(X))<=>(tall(X)&~old(X))))&
(![X]:(~rich(X)<=>happy(X)))&
((~creative(fred))<=... | ~strong(lucy) | [] | null | 0 |
If someone is not rich then someone is both not curious and not generous and vice versa. If someone is both not generous and tall then alice is not generous or not old and vice versa. If someone is either brave or not curious then susan is brave or not quiet and vice versa. Everyone who is both not kind and rich is bot... | Lucy is not happy. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:((~curious(X)&~generous(X)))))&
((?[X]:((~generous(X)&tall(X))))<=>((~generous(alice)|~old(alice))))&
((?[X]:((brave(X)<~>~curious(X))))<=>((brave(susan)|~quiet(susan))))&
(![X]:((~kind(X)&rich(X))<=>(rich(X)&~wise(X))))&
(![X]:((~kind(X)<~>~curious(X))=>(quiet(X)&~funny(X))))&
((?[X]:((~stro... | ~happy(lucy) | [] | null | 0 |
Everyone who is patient or tall is both not calm and wise.
Everyone who is either funny or not tall is not wise or not happy.
If susan is rich then someone is either wise or not creative and vice versa.
If susan is humble or patient then someone is both happy and not curious.
If someone is not calm then mary is either ... | Alice is not tall. | contradiction | (![X]:((patient(X)|tall(X))=>(~calm(X)&wise(X))))&
(![X]:((funny(X)<~>~tall(X))=>(~wise(X)|~happy(X))))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patient(mary))))&
(![X]:((creative(X)|~patient(X))=>(b... | ~tall(alice) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 545011270329832509734015
% SZS output start Proof for 545011270329832509734015
7. ! [X0] : ((humble(X0) | generous(X0)) => tall(X0)) [input p6]
13. ! [X0] : (tall(X0) <=> ~generous(X0)) [input p12]
21. ~tall(alice) [input hypothesis]
30. ! [X0] : (tall(X0) | (~humble(X0) & ~generous(X0)))... | 0 |
Everyone who is generous or not kind is either not old or not wise.
If mary is both not generous and generous then mary is brave or not rich and vice versa.
If mary is tall or generous then someone is not tall.
Everyone who is not creative is both not curious and rich.
Everyone who is not brave or not creative is quiet... | Paul is not happy. | neutral | (![X]:((generous(X)|~kind(X))=>(~old(X)<~>~wise(X))))&
(((~generous(mary)&generous(mary)))<=>((brave(mary)|~rich(mary))))&
(((tall(mary)|generous(mary)))=>(?[X]:(~tall(X))))&
(![X]:(~creative(X)=>(~curious(X)&rich(X))))&
(![X]:((~brave(X)|~creative(X))=>quiet(X)))&
(![X]:((~generous(X)&creative(X))<=>(~curious(X)&creat... | ~happy(paul) | [] | null | 0 |
If paul is not calm or old then someone is not happy or curious. If susan is not generous or quiet then someone is either happy or creative. Everyone who is funny or creative is not generous or not happy. Everyone who is generous is both patient and funny. If mary is not rich or strong then paul is both patient and not... | Paul is quiet. | neutral | (((~calm(paul)|old(paul)))=>(?[X]:((~happy(X)|curious(X)))))&
(((~generous(susan)|quiet(susan)))=>(?[X]:((happy(X)<~>creative(X)))))&
(![X]:((funny(X)|creative(X))=>(~generous(X)|~happy(X))))&
(![X]:(generous(X)=>(patient(X)&funny(X))))&
(((~rich(mary)|strong(mary)))<=>((patient(paul)&~old(paul))))&
(((~humble(lucy)<~>... | quiet(paul) | [] | null | 0 |
Everyone who is not patient or not kind is either kind or not patient and vice versa.
If someone is not kind or quiet then lucy is either old or not generous.
Everyone who is both not creative and not generous is creative and vice versa.
If someone is not rich then someone is either curious or not calm.
Everyone who is... | Paul is creative. | contradiction | (![X]:((~patient(X)|~kind(X))<=>(kind(X)<~>~patient(X))))&
((?[X]:((~kind(X)|quiet(X))))=>((old(lucy)<~>~generous(lucy))))&
(![X]:((~creative(X)&~generous(X))<=>creative(X)))&
((?[X]:(~rich(X)))=>(?[X]:((curious(X)<~>~calm(X)))))&
(![X]:(patient(X)<=>~quiet(X)))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((~funny(john)<~>~quie... | creative(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4416520074506747390941734
% SZS output start Proof for 4416520074506747390941734
3. ! [X0] : ((~generous(X0) & ~creative(X0)) <=> creative(X0)) [input p2]
21. creative(paul) [input hypothesis]
33. ! [X0] : (((~generous(X0) & ~creative(X0)) | ~creative(X0)) & (creative(X0) | (generous(X0) ... | 0 |
If someone is old then john is either not humble or funny and vice versa. If paul is both not patient and not strong then someone is both tall and not creative and vice versa. If someone is wise or generous then alice is either not patient or not funny. If paul is not funny then lucy is both not calm and kind and vice ... | Alice is not calm. | entailment | ((?[X]:(old(X)))<=>((~humble(john)<~>funny(john))))&
(((~patient(paul)&~strong(paul)))<=>(?[X]:((tall(X)&~creative(X)))))&
((?[X]:((wise(X)|generous(X))))=>((~patient(alice)<~>~funny(alice))))&
((~funny(paul))<=>((~calm(lucy)&kind(lucy))))&
(![X]:(generous(X)<=>(strong(X)|~tall(X))))&
(![X]:((~patient(X)&strong(X))=>(c... | ~calm(alice) | [
"p6",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8048436106567665317120647
% SZS output start Proof for 8048436106567665317120647
7. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (kind(X0) & ~funny(X0))) [input p6]
10. ! [X0] : ((funny(X0) | calm(X0)) => (~kind(X0) <~> ~strong(X0))) [input p9]
20. ~rich(alice) & strong(alice) [input p19]
23. ca... | 0 |
Everyone who is not wise or not tall is not old and vice versa. Everyone who is curious or funny is old. Everyone who is either calm or not wise is kind. Everyone who is either calm or generous is not happy or not strong and vice versa. If susan is not humble or rich then mary is old or not creative and vice versa. Eve... | John is not tall. | contradiction | (![X]:((~wise(X)|~tall(X))<=>~old(X)))&
(![X]:((curious(X)|funny(X))=>old(X)))&
(![X]:((calm(X)<~>~wise(X))=>kind(X)))&
(![X]:((calm(X)<~>generous(X))<=>(~happy(X)|~strong(X))))&
(((~humble(susan)|rich(susan)))<=>((old(mary)|~creative(mary))))&
(![X]:((old(X)&wise(X))<=>(~humble(X)|~happy(X))))&
(![X]:((~happy(X)<~>~fu... | ~tall(john) | [
"p0",
"p1",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8089687437417382142375954
% SZS output start Proof for 8089687437417382142375954
1. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> ~old(X0)) [input p0]
2. ! [X0] : ((funny(X0) | curious(X0)) => old(X0)) [input p1]
6. ! [X0] : ((wise(X0) & old(X0)) <=> (~happy(X0) | ~humble(X0))) [input p5]
7. ! [X... | 0 |
Everyone who is funny is either not wise or funny and vice versa. Everyone who is brave or patient is both kind and rich. If fred is not generous or funny then someone is not patient or not creative and vice versa. Everyone who is brave or creative is curious or rich. Everyone who is quiet or not rich is not calm and v... | John is not funny. | neutral | (![X]:(funny(X)<=>(~wise(X)<~>funny(X))))&
(![X]:((brave(X)|patient(X))=>(kind(X)&rich(X))))&
(((~generous(fred)|funny(fred)))<=>(?[X]:((~patient(X)|~creative(X)))))&
(![X]:((brave(X)|creative(X))=>(curious(X)|rich(X))))&
(![X]:((quiet(X)|~rich(X))<=>~calm(X)))&
((?[X]:((~happy(X)<~>~wise(X))))<=>(?[X]:(wise(X))))&
(![... | ~funny(john) | [] | null | 0 |
If someone is both kind and not curious then someone is both not wise and not calm and vice versa. If paul is generous or humble then mary is either not generous or calm. If someone is not funny or not kind then mary is not humble or not tall and vice versa. If someone is tall then someone is either not tall or not qui... | Mary is old. | entailment | ((?[X]:((kind(X)&~curious(X))))<=>(?[X]:((~wise(X)&~calm(X)))))&
(((generous(paul)|humble(paul)))=>((~generous(mary)<~>calm(mary))))&
((?[X]:((~funny(X)|~kind(X))))<=>((~humble(mary)|~tall(mary))))&
((?[X]:(tall(X)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(![X]:((~curious(X)&creative(X))=>(calm(X)<~>funny(X))))&
(![X]:((h... | old(mary) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6825118851933364448742110
% SZS output start Proof for 6825118851933364448742110
6. ! [X0] : ((~humble(X0) & happy(X0)) <=> (~old(X0) & humble(X0))) [input p5]
12. ! [X0] : ((creative(X0) | ~old(X0)) => humble(X0)) [input p11]
25. ~old(mary) [input hypothesis]
39. ! [X0] : (humble(X0) | (... | 0 |
If someone is both not funny and not humble then mary is not kind and vice versa.
Everyone who is funny is not funny or wise and vice versa.
Everyone who is not strong or patient is not funny or brave and vice versa.
If paul is not happy then someone is either not tall or not old and vice versa.
Everyone who is both no... | Mary is not creative. | neutral | ((?[X]:((~funny(X)&~humble(X))))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&curious(X))))&
((?[X]:((happy(X)<~>... | ~creative(mary) | [] | null | 0 |
Everyone who is both not creative and kind is both not tall and kind and vice versa.
Everyone who is either funny or creative is both not happy and not tall.
If mary is either not funny or generous then john is humble or not calm and vice versa.
Everyone who is humble or old is not patient.
Everyone who is humble is bo... | Lucy is not quiet. | neutral | (![X]:((~creative(X)&kind(X))<=>(~tall(X)&kind(X))))&
(![X]:((funny(X)<~>creative(X))=>(~happy(X)&~tall(X))))&
(((~funny(mary)<~>generous(mary)))<=>((humble(john)|~calm(john))))&
(![X]:((humble(X)|old(X))=>~patient(X)))&
(![X]:(humble(X)<=>(~calm(X)&~wise(X))))&
(![X]:((~strong(X)<~>~calm(X))<=>(~curious(X)|~creative(X... | ~quiet(lucy) | [] | null | 0 |
Everyone who is not humble or rich is generous.
Everyone who is not generous or not rich is brave.
If someone is both calm and rich then susan is either not rich or not wise and vice versa.
If paul is either generous or old then someone is wise and vice versa.
Everyone who is quiet or not calm is both not strong and no... | John is not old. | contradiction | (![X]:((~humble(X)|rich(X))=>generous(X)))&
(![X]:((~generous(X)|~rich(X))=>brave(X)))&
((?[X]:((calm(X)&rich(X))))<=>((~rich(susan)<~>~wise(susan))))&
(((generous(paul)<~>old(paul)))<=>(?[X]:(wise(X))))&
(![X]:((quiet(X)|~calm(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~patient(X)<~>tall(X))<=>~generous(X)))&
(![X]:((kind... | ~old(john) | [
"p4",
"p6",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7518406500843464596934667
% SZS output start Proof for 7518406500843464596934667
5. ! [X0] : ((~calm(X0) | quiet(X0)) <=> (~rich(X0) & ~strong(X0))) [input p4]
7. ! [X0] : ((~old(X0) | kind(X0)) => (~rich(X0) <~> ~happy(X0))) [input p6]
8. ! [X0] : ((happy(X0) <~> ~kind(X0)) => (~humble(X... | 0 |
If lucy is strong then paul is patient and vice versa.
Everyone who is not generous or not creative is either humble or curious.
Everyone who is quiet is both strong and not patient.
If fred is brave then someone is not strong or not happy and vice versa.
Everyone who is not generous is both not curious and generous.
I... | Lucy is funny. | neutral | ((strong(lucy))<=>(patient(paul)))&
(![X]:((~generous(X)|~creative(X))=>(humble(X)<~>curious(X))))&
(![X]:(quiet(X)=>(strong(X)&~patient(X))))&
((brave(fred))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:(~generous(X)=>(~curious(X)&generous(X))))&
((?[X]:(brave(X)))<=>((~curious(lucy)&~humble(lucy))))&
(![X]:((patient(X)|... | funny(lucy) | [] | null | 0 |
Everyone who is not old or not funny is not wise or creative.
Everyone who is not brave or not funny is not curious or not patient.
Everyone who is not brave or kind is not brave or brave and vice versa.
Everyone who is funny or not kind is either not strong or curious.
If someone is not rich then lucy is quiet and vic... | Mary is tall. | contradiction | (![X]:((~old(X)|~funny(X))=>(~wise(X)|creative(X))))&
(![X]:((~brave(X)|~funny(X))=>(~curious(X)|~patient(X))))&
(![X]:((~brave(X)|kind(X))<=>(~brave(X)|brave(X))))&
(![X]:((funny(X)|~kind(X))=>(~strong(X)<~>curious(X))))&
((?[X]:(~rich(X)))<=>(quiet(lucy)))&
(![X]:(~happy(X)=>(strong(X)&tall(X))))&
(((~happy(mary)&~ki... | tall(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8916080277878167375738904
% SZS output start Proof for 8916080277878167375738904
8. ! [X0] : ((~tall(X0) & ~curious(X0)) <=> tall(X0)) [input p7]
23. tall(mary) [input hypothesis]
42. ! [X0] : (((~tall(X0) & ~curious(X0)) | ~tall(X0)) & (tall(X0) | (tall(X0) | curious(X0)))) [nnf transfor... | 0 |
Everyone who is not strong is wise and vice versa. Everyone who is both not happy and not generous is curious and vice versa. Everyone who is not quiet or not creative is not tall and vice versa. If susan is either old or not calm then fred is either not strong or not tall. If mary is either not happy or not strong the... | Paul is humble. | contradiction | (![X]:(~strong(X)<=>wise(X)))&
(![X]:((~happy(X)&~generous(X))<=>curious(X)))&
(![X]:((~quiet(X)|~creative(X))<=>~tall(X)))&
(((old(susan)<~>~calm(susan)))=>((~strong(fred)<~>~tall(fred))))&
(((~happy(mary)<~>~strong(mary)))<=>(?[X]:(~humble(X))))&
((?[X]:((funny(X)|~happy(X))))<=>(?[X]:((kind(X)<~>brave(X)))))&
(![X]:... | humble(paul) | [
"p0",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 601218207406370647737169
% SZS output start Proof for 601218207406370647737169
1. ! [X0] : (~strong(X0) <=> wise(X0)) [input p0]
16. ! [X0] : ((humble(X0) <~> ~old(X0)) <=> (strong(X0) <~> ~old(X0))) [input p15]
21. wise(paul) [input p20]
24. humble(paul) [input hypothesis]
34. ! [X0] : (... | 0 |
Everyone who is wise or rich is either strong or generous.
Everyone who is both kind and old is both generous and not old.
Everyone who is old or humble is calm.
Everyone who is rich or not generous is either not creative or not humble.
If fred is either not brave or not wise then someone is either not kind or humble a... | Paul is brave. | neutral | (![X]:((wise(X)|rich(X))=>(strong(X)<~>generous(X))))&
(![X]:((kind(X)&old(X))=>(generous(X)&~old(X))))&
(![X]:((old(X)|humble(X))=>calm(X)))&
(![X]:((rich(X)|~generous(X))=>(~creative(X)<~>~humble(X))))&
(((~brave(fred)<~>~wise(fred)))<=>(?[X]:((~kind(X)<~>humble(X)))))&
(![X]:((funny(X)&~quiet(X))=>(~generous(X)|~cal... | brave(paul) | [] | null | 0 |
If someone is both not humble and not kind then mary is rich or calm.
If someone is not creative or patient then susan is either not calm or not curious.
If someone is both rich and not happy then paul is not generous.
If someone is both not old and not rich then someone is curious or funny.
Everyone who is either crea... | Alice is patient. | entailment | ((?[X]:((~humble(X)&~kind(X))))=>((rich(mary)|calm(mary))))&
((?[X]:((~creative(X)|patient(X))))=>((~calm(susan)<~>~curious(susan))))&
((?[X]:((rich(X)&~happy(X))))=>(~generous(paul)))&
((?[X]:((~old(X)&~rich(X))))=>(?[X]:((curious(X)|funny(X)))))&
(![X]:((creative(X)<~>~generous(X))<=>(happy(X)&~rich(X))))&
(![X]:((ki... | patient(alice) | [
"p4",
"p5",
"p7",
"p11",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8152618629270313423266452
% SZS output start Proof for 8152618629270313423266452
5. ! [X0] : ((creative(X0) <~> ~generous(X0)) <=> (~rich(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~calm(X0) | kind(X0)) => (kind(X0) & generous(X0))) [input p5]
8. ! [X0] : (~calm(X0) <=> (~generous(X0) <~>... | 0 |
If someone is old then someone is both happy and not creative and vice versa.
If alice is both not wise and happy then lucy is not generous or kind.
Everyone who is not happy is happy or not strong and vice versa.
If paul is either funny or not kind then fred is not kind.
If fred is funny then fred is humble and vice v... | Mary is not quiet. | entailment | ((?[X]:(old(X)))<=>(?[X]:((happy(X)&~creative(X)))))&
(((~wise(alice)&happy(alice)))=>((~generous(lucy)|kind(lucy))))&
(![X]:(~happy(X)<=>(happy(X)|~strong(X))))&
(((funny(paul)<~>~kind(paul)))=>(~kind(fred)))&
((funny(fred))<=>(humble(fred)))&
((?[X]:(strong(X)))<=>(?[X]:(funny(X))))&
((~rich(john))<=>((~old(lucy)&~fu... | ~quiet(mary) | [
"p2",
"p5",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4176472029431990729755852
% SZS output start Proof for 4176472029431990729755852
3. ! [X0] : (~happy(X0) <=> (~strong(X0) | happy(X0))) [input p2]
6. ? [X0] : strong(X0) <=> ? [X0] : funny(X0) [input p5]
9. ? [X0] : (funny(X0) <~> rich(X0)) <=> (brave(john) & kind(john)) [input p8]
12. ! ... | 0 |
If fred is either rich or not funny then paul is not calm or creative and vice versa.
Everyone who is calm is happy or not rich.
Everyone who is either not brave or generous is either not generous or old and vice versa.
Everyone who is not quiet or quiet is patient or not happy and vice versa.
If someone is either kind... | Fred is kind. | neutral | (((rich(fred)<~>~funny(fred)))<=>((~calm(paul)|creative(paul))))&
(![X]:(calm(X)=>(happy(X)|~rich(X))))&
(![X]:((~brave(X)<~>generous(X))<=>(~generous(X)<~>old(X))))&
(![X]:((~quiet(X)|quiet(X))<=>(patient(X)|~happy(X))))&
((?[X]:((kind(X)<~>old(X))))<=>(?[X]:((~old(X)&~happy(X)))))&
((?[X]:(kind(X)))<=>(?[X]:((~strong... | kind(fred) | [] | null | 0 |
If someone is both creative and wise then john is quiet or old.
If someone is either not wise or not old then someone is curious or quiet.
If someone is not quiet or old then paul is either not rich or quiet and vice versa.
Everyone who is either not calm or patient is not generous.
If mary is both brave and happy then... | Fred is wise. | entailment | ((?[X]:((creative(X)&wise(X))))=>((quiet(john)|old(john))))&
((?[X]:((~wise(X)<~>~old(X))))=>(?[X]:((curious(X)|quiet(X)))))&
((?[X]:((~quiet(X)|old(X))))<=>((~rich(paul)<~>quiet(paul))))&
(![X]:((~calm(X)<~>patient(X))=>~generous(X)))&
(((brave(mary)&happy(mary)))=>(?[X]:((~strong(X)<~>~happy(X)))))&
(![X]:(~calm(X)<=... | wise(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 14227680624189600356601
% SZS output start Proof for 14227680624189600356601
13. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (wise(X0) & ~generous(X0))) [input p12]
25. ~wise(fred) [input hypothesis]
61. ! [X0] : (((~quiet(X0) | quiet(X0)) | (~wise(X0) | generous(X0))) & ((wise(X0) & ~generous... | 0 |
Everyone who is both not tall and patient is humble or curious. If susan is both not curious and not calm then susan is both not strong and not creative and vice versa. Everyone who is wise is not tall. Everyone who is both calm and not kind is either funny or humble and vice versa. If mary is not patient then someone ... | Mary is not kind. | neutral | (![X]:((~tall(X)&patient(X))=>(humble(X)|curious(X))))&
(((~curious(susan)&~calm(susan)))<=>((~strong(susan)&~creative(susan))))&
(![X]:(wise(X)=>~tall(X)))&
(![X]:((calm(X)&~kind(X))<=>(funny(X)<~>humble(X))))&
((~patient(mary))=>(?[X]:((~strong(X)&~rich(X)))))&
((?[X]:((creative(X)&~humble(X))))<=>(?[X]:(~funny(X))))... | ~kind(mary) | [] | null | 0 |
If someone is both funny and not happy then someone is calm or brave and vice versa.
Everyone who is either strong or not happy is both not old and not curious.
Everyone who is both tall and not calm is not quiet and vice versa.
Everyone who is either not rich or rich is old.
Everyone who is either not brave or strong ... | Mary is funny. | contradiction | ((?[X]:((funny(X)&~happy(X))))<=>(?[X]:((calm(X)|brave(X)))))&
(![X]:((strong(X)<~>~happy(X))=>(~old(X)&~curious(X))))&
(![X]:((tall(X)&~calm(X))<=>~quiet(X)))&
(![X]:((~rich(X)<~>rich(X))=>old(X)))&
(![X]:((~brave(X)<~>strong(X))=>(brave(X)&~wise(X))))&
((?[X]:((~calm(X)&~generous(X))))<=>(?[X]:((creative(X)|~happy(X)... | funny(mary) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6313621938120116220351953
% SZS output start Proof for 6313621938120116220351953
1. ? [X0] : (~happy(X0) & funny(X0)) <=> ? [X0] : (brave(X0) | calm(X0)) [input p0]
2. ! [X0] : ((strong(X0) <~> ~happy(X0)) => (~curious(X0) & ~old(X0))) [input p1]
4. ! [X0] : ((~rich(X0) <~> rich(X0)) => o... | 0 |
Everyone who is both not tall and funny is either not curious or generous. Everyone who is not generous or not old is creative. Everyone who is funny is either not creative or tall and vice versa. If alice is either not happy or not generous then paul is calm and vice versa. Everyone who is not funny is not generous. E... | Fred is not tall. | entailment | (![X]:((~tall(X)&funny(X))=>(~curious(X)<~>generous(X))))&
(![X]:((~generous(X)|~old(X))=>creative(X)))&
(![X]:(funny(X)<=>(~creative(X)<~>tall(X))))&
(((~happy(alice)<~>~generous(alice)))<=>(calm(paul)))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(~quiet(X)=>(patient(X)|quiet(X))))&
(((~kind(susan)<~>~generous(susan)))=... | ~tall(fred) | [
"p2",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 717385916754029322137867
% SZS output start Proof for 717385916754029322137867
3. ! [X0] : (funny(X0) <=> (~creative(X0) <~> tall(X0))) [input p2]
10. ! [X0] : (~rich(X0) => ~tall(X0)) [input p9]
13. ! [X0] : ((patient(X0) | creative(X0)) <=> ~rich(X0)) [input p12]
17. funny(fred) [input ... | 0 |
Everyone who is not creative or not calm is either quiet or wise and vice versa.
Everyone who is either wise or not brave is both tall and not calm and vice versa.
Everyone who is not funny or not patient is kind or brave.
Everyone who is creative or strong is either not strong or brave and vice versa.
Everyone who is ... | Mary is not wise. | neutral | (![X]:((~creative(X)|~calm(X))<=>(quiet(X)<~>wise(X))))&
(![X]:((wise(X)<~>~brave(X))<=>(tall(X)&~calm(X))))&
(![X]:((~funny(X)|~patient(X))=>(kind(X)|brave(X))))&
(![X]:((creative(X)|strong(X))<=>(~strong(X)<~>brave(X))))&
(![X]:(~quiet(X)<=>(tall(X)<~>~happy(X))))&
(((funny(alice)<~>rich(alice)))<=>((old(alice)|brave... | ~wise(mary) | [] | null | 0 |
Everyone who is not creative is humble and vice versa. If someone is not brave then someone is not old or not quiet. Everyone who is not patient is either not strong or not quiet. Everyone who is not creative is both not creative and not tall and vice versa. If alice is not curious then fred is not calm and vice versa.... | John is strong. | neutral | (![X]:(~creative(X)<=>humble(X)))&
((?[X]:(~brave(X)))=>(?[X]:((~old(X)|~quiet(X)))))&
(![X]:(~patient(X)=>(~strong(X)<~>~quiet(X))))&
(![X]:(~creative(X)<=>(~creative(X)&~tall(X))))&
((~curious(alice))<=>(~calm(fred)))&
(![X]:((rich(X)<~>~humble(X))<=>funny(X)))&
(![X]:((creative(X)<~>~kind(X))=>(brave(X)|happy(X))))&... | strong(john) | [] | null | 0 |
Everyone who is creative is tall or not generous and vice versa.
Everyone who is not humble or not old is not calm or not strong.
If alice is either not strong or old then someone is both not funny and not wise and vice versa.
Everyone who is not kind or not wise is not tall or not old and vice versa.
Everyone who is b... | Paul is not funny. | contradiction | (![X]:(creative(X)<=>(tall(X)|~generous(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(X)|~strong(X))))&
(((~strong(alice)<~>old(alice)))<=>(?[X]:((~funny(X)&~wise(X)))))&
(![X]:((~kind(X)|~wise(X))<=>(~tall(X)|~old(X))))&
(![X]:((humble(X)&generous(X))<=>(~generous(X)|creative(X))))&
(![X]:((old(X)<~>creative(X))=>(~gener... | ~funny(paul) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p9",
"p10",
"p12",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7445488900872898962138503
% SZS output start Proof for 7445488900872898962138503
1. ! [X0] : (creative(X0) <=> (~generous(X0) | tall(X0))) [input p0]
3. (~strong(alice) <~> old(alice)) <=> ? [X0] : (~wise(X0) & ~funny(X0)) [input p2]
4. ! [X0] : ((~wise(X0) | ~kind(X0)) <=> (~old(X0) | ~t... | 0 |
Everyone who is rich or quiet is either creative or not generous.
If mary is either funny or wise then mary is both not wise and not patient.
Everyone who is not strong or not wise is not funny and vice versa.
Everyone who is both tall and wise is not funny or patient and vice versa.
Everyone who is either not calm or ... | Paul is creative. | entailment | (![X]:((rich(X)|quiet(X))=>(creative(X)<~>~generous(X))))&
(((funny(mary)<~>wise(mary)))=>((~wise(mary)&~patient(mary))))&
(![X]:((~strong(X)|~wise(X))<=>~funny(X)))&
(![X]:((tall(X)&wise(X))<=>(~funny(X)|patient(X))))&
(![X]:((~calm(X)<~>curious(X))=>(~old(X)|~kind(X))))&
((kind(paul))=>(?[X]:((old(X)|~creative(X)))))... | creative(paul) | [
"p2",
"p3",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5161546734390327306892543
% SZS output start Proof for 5161546734390327306892543
3. ! [X0] : ((~wise(X0) | ~strong(X0)) <=> ~funny(X0)) [input p2]
4. ! [X0] : ((wise(X0) & tall(X0)) <=> (patient(X0) | ~funny(X0))) [input p3]
12. ! [X0] : ((wise(X0) | creative(X0)) => funny(X0)) [input p11... | 0 |
If mary is not happy then someone is happy. If john is both not rich and not happy then john is not old or happy. If someone is not rich then john is both generous and creative and vice versa. If alice is humble then someone is strong or generous. Everyone who is strong is both strong and calm. If someone is not old or... | John is not old. | contradiction | ((~happy(mary))=>(?[X]:(happy(X))))&
(((~rich(john)&~happy(john)))=>((~old(john)|happy(john))))&
((?[X]:(~rich(X)))<=>((generous(john)&creative(john))))&
((humble(alice))=>(?[X]:((strong(X)|generous(X)))))&
(![X]:(strong(X)=>(strong(X)&calm(X))))&
((?[X]:((~old(X)|~brave(X))))=>(?[X]:((~creative(X)&brave(X)))))&
((~str... | ~old(john) | [
"p2",
"p4",
"p7",
"p8",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4822359481271354723522291
% SZS output start Proof for 4822359481271354723522291
3. ? [X0] : ~rich(X0) <=> (creative(john) & generous(john)) [input p2]
5. ! [X0] : (strong(X0) => (calm(X0) & strong(X0))) [input p4]
8. ! [X0] : ((curious(X0) <~> happy(X0)) => (~rich(X0) & old(X0))) [input ... | 0 |
If fred is either calm or not strong then someone is either rich or creative.
If someone is not humble then mary is both not rich and calm and vice versa.
If someone is not brave or kind then lucy is both not kind and not strong and vice versa.
Everyone who is rich or not funny is either patient or not rich.
If lucy is... | Lucy is not strong. | entailment | (((calm(fred)<~>~strong(fred)))=>(?[X]:((rich(X)<~>creative(X)))))&
((?[X]:(~humble(X)))<=>((~rich(mary)&calm(mary))))&
((?[X]:((~brave(X)|kind(X))))<=>((~kind(lucy)&~strong(lucy))))&
(![X]:((rich(X)|~funny(X))=>(patient(X)<~>~rich(X))))&
((~curious(lucy))=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((calm(X)&~happy(X))=>(~wi... | ~strong(lucy) | [
"p2",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8432678397021022400897624
% SZS output start Proof for 8432678397021022400897624
3. ? [X0] : (kind(X0) | ~brave(X0)) <=> (~strong(lucy) & ~kind(lucy)) [input p2]
24. ? [X0] : ~brave(X0) [input p23]
25. strong(lucy) [input hypothesis]
47. (? [X0] : (kind(X0) | ~brave(X0)) | (strong(lucy) |... | 0 |
Everyone who is not quiet or humble is calm or not humble.
Everyone who is either not wise or not calm is both kind and not generous.
If someone is rich or brave then someone is not happy.
If someone is both calm and brave then someone is wise.
If mary is not curious or not patient then someone is not brave or funny.
I... | Paul is strong. | contradiction | (![X]:((~quiet(X)|humble(X))=>(calm(X)|~humble(X))))&
(![X]:((~wise(X)<~>~calm(X))=>(kind(X)&~generous(X))))&
((?[X]:((rich(X)|brave(X))))=>(?[X]:(~happy(X))))&
((?[X]:((calm(X)&brave(X))))=>(?[X]:(wise(X))))&
(((~curious(mary)|~patient(mary)))=>(?[X]:((~brave(X)|funny(X)))))&
(((brave(lucy)&~generous(lucy)))<=>(?[X]:(... | strong(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3643043638888893844997232
% SZS output start Proof for 3643043638888893844997232
17. ~strong(paul) & ~creative(paul) [input p16]
25. strong(paul) [input hypothesis]
135. ~strong(paul) [cnf transformation 17]
145. strong(paul) [cnf transformation 25]
301. $false [subsumption resolution 145... | 0 |
If someone is either not quiet or strong then someone is either calm or not humble and vice versa.
Everyone who is either not creative or not wise is both old and not brave.
Everyone who is either patient or not patient is not calm.
If alice is both not brave and rich then someone is not brave or old.
Everyone who is n... | John is old. | contradiction | ((?[X]:((~quiet(X)<~>strong(X))))<=>(?[X]:((calm(X)<~>~humble(X)))))&
(![X]:((~creative(X)<~>~wise(X))=>(old(X)&~brave(X))))&
(![X]:((patient(X)<~>~patient(X))=>~calm(X)))&
(((~brave(alice)&rich(alice)))=>(?[X]:((~brave(X)|old(X)))))&
(![X]:((~brave(X)|~generous(X))=>generous(X)))&
((patient(john))=>((~kind(susan)<~>~h... | old(john) | [
"p2",
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1802283694066209858915741
% SZS output start Proof for 1802283694066209858915741
3. ! [X0] : ((patient(X0) <~> ~patient(X0)) => ~calm(X0)) [input p2]
7. ! [X0] : ((rich(X0) | ~happy(X0)) => (quiet(X0) & ~kind(X0))) [input p6]
9. ! [X0] : (~quiet(X0) <=> rich(X0)) [input p8]
11. ! [X0] : (... | 0 |
Everyone who is either not wise or kind is not old or rich and vice versa. If someone is both patient and happy then john is rich. If mary is funny then someone is not wise or not strong. Everyone who is curious or not old is brave or not wise. Everyone who is tall is not generous and vice versa. Everyone who is brave ... | Fred is tall. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(~old(X)|rich(X))))&
((?[X]:((patient(X)&happy(X))))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient(X)))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)))... | tall(fred) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 274034264423876964594251
% SZS output start Proof for 274034264423876964594251
4. ! [X0] : ((~old(X0) | curious(X0)) => (~wise(X0) | brave(X0))) [input p3]
5. ! [X0] : (tall(X0) <=> ~generous(X0)) [input p4]
6. ! [X0] : (brave(X0) <=> patient(X0)) [input p5]
7. ! [X0] : ((patient(X0) <~> ... | 0 |
If someone is both wise and happy then someone is brave or not strong and vice versa.
If someone is not old then lucy is either quiet or not generous.
Everyone who is both tall and not funny is either rich or not creative and vice versa.
If someone is both not generous and not funny then someone is both not patient and... | Fred is not creative. | neutral | ((?[X]:((wise(X)&happy(X))))<=>(?[X]:((brave(X)|~strong(X)))))&
((?[X]:(~old(X)))=>((quiet(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)&~funny(X))<=>(rich(X)<~>~creative(X))))&
((?[X]:((~generous(X)&~funny(X))))=>(?[X]:((~patient(X)&~quiet(X)))))&
((?[X]:(~calm(X)))=>(?[X]:(tall(X))))&
(![X]:((wise(X)<~>calm(X))<=>(~cal... | ~creative(fred) | [] | null | 0 |
Everyone who is both funny and not rich is either not wise or curious and vice versa.
If someone is not quiet or creative then someone is both generous and not rich.
Everyone who is not kind is either not brave or humble.
Everyone who is kind is not funny.
If someone is either not wise or wise then mary is both not hap... | Alice is wise. | neutral | (![X]:((funny(X)&~rich(X))<=>(~wise(X)<~>curious(X))))&
((?[X]:((~quiet(X)|creative(X))))=>(?[X]:((generous(X)&~rich(X)))))&
(![X]:(~kind(X)=>(~brave(X)<~>humble(X))))&
(![X]:(kind(X)=>~funny(X)))&
((?[X]:((~wise(X)<~>wise(X))))=>((~happy(mary)&~kind(mary))))&
(![X]:((curious(X)<~>~patient(X))<=>(~wise(X)<~>~generous(X... | wise(alice) | [] | 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 8923347911189128996886233
% SZS output start Proof for 8923347911189128996886233
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)) [inpu... | 0 |
If someone is either not generous or not tall then someone is not strong. Everyone who is both old and not humble is not brave and vice versa. Everyone who is not kind is both tall and curious. Everyone who is both not kind and not creative is tall and vice versa. If someone is rich or kind then someone is not wise or ... | John is kind. | entailment | ((?[X]:((~generous(X)<~>~tall(X))))=>(?[X]:(~strong(X))))&
(![X]:((old(X)&~humble(X))<=>~brave(X)))&
(![X]:(~kind(X)=>(tall(X)&curious(X))))&
(![X]:((~kind(X)&~creative(X))<=>tall(X)))&
((?[X]:((rich(X)|kind(X))))=>(?[X]:((~wise(X)|~humble(X)))))&
((?[X]:(~tall(X)))<=>((generous(susan)|kind(susan))))&
(![X]:(~patient(X... | kind(john) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1030262486738266163619112
% SZS output start Proof for 1030262486738266163619112
3. ! [X0] : (~kind(X0) => (curious(X0) & tall(X0))) [input p2]
13. ! [X0] : (~kind(X0) => ~curious(X0)) [input p12]
25. ~kind(john) [input hypothesis]
32. ! [X0] : ((curious(X0) & tall(X0)) | kind(X0)) [ennf ... | 0 |
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