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 not creative or not quiet is not brave.
If someone is not tall or not kind then someone is not kind or creative.
If someone is not funny then fred is not kind or strong.
If someone is both not patient and patient then someone is both not brave and not humble.
Everyone who is both wise and patient is bot... | Fred is not creative. | neutral | (![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(X))<=>(quiet(X)&~happy(X))))&
(![X]:(funny(X)<=>(tall(X)<~>rich... | ~creative(fred) | [] | null | 0 |
If someone is not happy then fred is tall. If someone is both not tall and patient then someone is both not humble and creative. Everyone who is not quiet or kind is creative and vice versa. If john is both wise and humble then susan is both wise and not quiet. Everyone who is not patient or funny is funny or tall. Eve... | Paul is patient. | neutral | ((?[X]:(~happy(X)))=>(tall(fred)))&
((?[X]:((~tall(X)&patient(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~quiet(X)|kind(X))<=>creative(X)))&
(((wise(john)&humble(john)))=>((wise(susan)&~quiet(susan))))&
(![X]:((~patient(X)|funny(X))=>(funny(X)|tall(X))))&
(![X]:((calm(X)&~creative(X))=>(curious(X)<~>~quiet(X)))... | patient(paul) | [] | null | 0 |
If mary is not funny then paul is tall or not patient. Everyone who is either not brave or wise is both generous and not quiet and vice versa. If someone is either happy or creative then paul is both calm and not tall. If someone is not rich then john is both not quiet and not strong. Everyone who is not curious or bra... | Mary is kind. | contradiction | ((~funny(mary))=>((tall(paul)|~patient(paul))))&
(![X]:((~brave(X)<~>wise(X))<=>(generous(X)&~quiet(X))))&
((?[X]:((happy(X)<~>creative(X))))=>((calm(paul)&~tall(paul))))&
((?[X]:(~rich(X)))=>((~quiet(john)&~strong(john))))&
(![X]:((~curious(X)|brave(X))=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)<~>wise(X))<=>old(X)))&... | kind(mary) | [
"p1",
"p3",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8103682529260212160809295
% SZS output start Proof for 8103682529260212160809295
2. ! [X0] : ((~brave(X0) <~> wise(X0)) <=> (~quiet(X0) & generous(X0))) [input p1]
4. ? [X0] : ~rich(X0) => (~strong(john) & ~quiet(john)) [input p3]
8. (~wise(paul) & ~generous(paul)) <=> ? [X0] : ~quiet(X0)... | 0 |
If someone is calm or not wise then alice is generous or humble.
Everyone who is not funny is not happy or humble and vice versa.
If someone is either not quiet or not tall then fred is both not quiet and not old and vice versa.
If someone is both strong and humble then someone is either not rich or wise.
Everyone who ... | Paul is strong. | contradiction | ((?[X]:((calm(X)|~wise(X))))=>((generous(alice)|humble(alice))))&
(![X]:(~funny(X)<=>(~happy(X)|humble(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))<=>((~quiet(fred)&~old(fred))))&
((?[X]:((strong(X)&humble(X))))=>(?[X]:((~rich(X)<~>wise(X)))))&
(![X]:((generous(X)|humble(X))=>(wise(X)<~>~rich(X))))&
((strong(alice))<=>(?[X]... | strong(paul) | [
"p1",
"p8",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4056556164393859639419360
% SZS output start Proof for 4056556164393859639419360
2. ! [X0] : (~funny(X0) <=> (humble(X0) | ~happy(X0))) [input p1]
9. ! [X0] : ((~brave(X0) | ~funny(X0)) => (~brave(X0) <~> ~strong(X0))) [input p8]
19. brave(paul) [input p18]
22. ~happy(paul) & old(paul) [i... | 0 |
Everyone who is curious or not rich is calm or not patient and vice versa. If someone is either not calm or quiet then susan is rich or not quiet and vice versa. Everyone who is either not brave or not patient is not quiet or not kind. If someone is not calm then john is both not creative and not quiet and vice versa. ... | Susan is not strong. | neutral | (![X]:((curious(X)|~rich(X))<=>(calm(X)|~patient(X))))&
((?[X]:((~calm(X)<~>quiet(X))))<=>((rich(susan)|~quiet(susan))))&
(![X]:((~brave(X)<~>~patient(X))=>(~quiet(X)|~kind(X))))&
((?[X]:(~calm(X)))<=>((~creative(john)&~quiet(john))))&
(![X]:((humble(X)&~strong(X))<=>(tall(X)<~>rich(X))))&
((?[X]:((creative(X)<~>~brave... | ~strong(susan) | [] | null | 0 |
Everyone who is not funny or funny is either curious or rich and vice versa. If someone is either not rich or creative then paul is both strong and not brave and vice versa. Everyone who is not wise is not humble and vice versa. Everyone who is either rich or curious is strong. Everyone who is wise or not tall is not c... | Mary is quiet. | neutral | (![X]:((~funny(X)|funny(X))<=>(curious(X)<~>rich(X))))&
((?[X]:((~rich(X)<~>creative(X))))<=>((strong(paul)&~brave(paul))))&
(![X]:(~wise(X)<=>~humble(X)))&
(![X]:((rich(X)<~>curious(X))=>strong(X)))&
(![X]:((wise(X)|~tall(X))=>(~curious(X)|strong(X))))&
(![X]:(generous(X)<=>(tall(X)|~rich(X))))&
(![X]:((patient(X)|~ki... | quiet(mary) | [] | null | 0 |
Everyone who is either brave or not kind is either happy or not kind and vice versa.
Everyone who is both happy and not quiet is not old or not tall.
If john is either rich or not brave then mary is not brave.
Everyone who is tall is both not happy and generous and vice versa.
If someone is not kind then fred is wise o... | Mary is not generous. | neutral | (![X]:((brave(X)<~>~kind(X))<=>(happy(X)<~>~kind(X))))&
(![X]:((happy(X)&~quiet(X))=>(~old(X)|~tall(X))))&
(((rich(john)<~>~brave(john)))=>(~brave(mary)))&
(![X]:(tall(X)<=>(~happy(X)&generous(X))))&
((?[X]:(~kind(X)))=>((wise(fred)|~creative(fred))))&
(![X]:((~creative(X)<~>strong(X))<=>funny(X)))&
((?[X]:((~generous(... | ~generous(mary) | [] | null | 0 |
Everyone who is humble or not humble is not strong and vice versa.
Everyone who is either not calm or not kind is not humble.
Everyone who is curious is not quiet or strong.
If someone is both old and not kind then fred is both funny and not funny.
If john is either not tall or not curious then someone is not happy and... | Susan is humble. | contradiction | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:((~calm(X)<~>~kind(X))=>~humble(X)))&
(![X]:(curious(X)=>(~quiet(X)|strong(X))))&
((?[X]:((old(X)&~kind(X))))=>((funny(fred)&~funny(fred))))&
(((~tall(john)<~>~curious(john)))<=>(?[X]:(~happy(X))))&
(![X]:((creative(X)<~>~tall(X))=>(tall(X)&~calm(X))))&
(![X]:((genero... | humble(susan) | [
"p1",
"p3",
"p6",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8939457266940844538159134
% SZS output start Proof for 8939457266940844538159134
2. ! [X0] : ((~calm(X0) <~> ~kind(X0)) => ~humble(X0)) [input p1]
4. ? [X0] : (~kind(X0) & old(X0)) => (~funny(fred) & funny(fred)) [input p3]
7. ! [X0] : ((generous(X0) <~> calm(X0)) <=> rich(X0)) [input p6]... | 0 |
Everyone who is both humble and quiet is both not tall and not funny. Everyone who is either not rich or creative is not kind or patient and vice versa. Everyone who is not curious is not generous and vice versa. Everyone who is either creative or not humble is both not tall and humble. If someone is either not brave o... | Mary is not curious. | neutral | (![X]:((humble(X)&quiet(X))=>(~tall(X)&~funny(X))))&
(![X]:((~rich(X)<~>creative(X))<=>(~kind(X)|patient(X))))&
(![X]:(~curious(X)<=>~generous(X)))&
(![X]:((creative(X)<~>~humble(X))=>(~tall(X)&humble(X))))&
((?[X]:((~brave(X)<~>~quiet(X))))=>((strong(mary)|quiet(mary))))&
(![X]:(tall(X)=>(~curious(X)&old(X))))&
((?[X]... | ~curious(mary) | [] | null | 0 |
If paul is either brave or not strong then someone is both brave and not kind and vice versa.
Everyone who is both not old and wise is both funny and not happy and vice versa.
Everyone who is not tall or not humble is both not creative and wise.
Everyone who is both not brave and not generous is not happy or calm.
Ever... | Fred is not creative. | entailment | (((brave(paul)<~>~strong(paul)))<=>(?[X]:((brave(X)&~kind(X)))))&
(![X]:((~old(X)&wise(X))<=>(funny(X)&~happy(X))))&
(![X]:((~tall(X)|~humble(X))=>(~creative(X)&wise(X))))&
(![X]:((~brave(X)&~generous(X))=>(~happy(X)|calm(X))))&
(![X]:((wise(X)|patient(X))<=>~quiet(X)))&
((?[X]:((~kind(X)&happy(X))))=>(?[X]:(~strong(X)... | ~creative(fred) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7695617765698050818519659
% SZS output start Proof for 7695617765698050818519659
3. ! [X0] : ((~humble(X0) | ~tall(X0)) => (wise(X0) & ~creative(X0))) [input p2]
15. ! [X0] : (tall(X0) <=> (~creative(X0) <~> ~humble(X0))) [input p14]
25. creative(fred) [input hypothesis]
27. ! [X0] : ((wi... | 0 |
If lucy is generous then alice is creative.
Everyone who is old is either patient or happy.
Everyone who is both not patient and not tall is wise or not curious and vice versa.
Everyone who is not humble is both not patient and not curious and vice versa.
Everyone who is strong or not old is both not humble and tall an... | Alice is rich. | neutral | ((generous(lucy))=>(creative(alice)))&
(![X]:(old(X)=>(patient(X)<~>happy(X))))&
(![X]:((~patient(X)&~tall(X))<=>(wise(X)|~curious(X))))&
(![X]:(~humble(X)<=>(~patient(X)&~curious(X))))&
(![X]:((strong(X)|~old(X))<=>(~humble(X)&tall(X))))&
((patient(john))=>(?[X]:(curious(X))))&
((?[X]:((~rich(X)<~>~patient(X))))<=>(?[... | rich(alice) | [] | null | 0 |
Everyone who is either humble or not strong is either not quiet or not rich.
Everyone who is not old is both old and calm.
Everyone who is patient is either not patient or not strong and vice versa.
Everyone who is both not generous and curious is not funny or old.
Everyone who is creative is both happy and not old.
If... | Lucy is strong. | contradiction | (![X]:((humble(X)<~>~strong(X))=>(~quiet(X)<~>~rich(X))))&
(![X]:(~old(X)=>(old(X)&calm(X))))&
(![X]:(patient(X)<=>(~patient(X)<~>~strong(X))))&
(![X]:((~generous(X)&curious(X))=>(~funny(X)|old(X))))&
(![X]:(creative(X)=>(happy(X)&~old(X))))&
((?[X]:((humble(X)&creative(X))))<=>((~funny(paul)&quiet(paul))))&
(![X]:(~ge... | strong(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 626454107427292037362829
% SZS output start Proof for 626454107427292037362829
3. ! [X0] : (patient(X0) <=> (~patient(X0) <~> ~strong(X0))) [input p2]
23. strong(lucy) [input hypothesis]
37. ! [X0] : ((patient(X0) | ((~patient(X0) | strong(X0)) & (~strong(X0) | patient(X0)))) & (((strong(... | 0 |
Everyone who is not patient is either not humble or funny and vice versa.
Everyone who is wise is both not tall and not brave and vice versa.
Everyone who is not brave is either brave or not calm and vice versa.
Everyone who is not generous is generous.
If someone is quiet then someone is curious and vice versa.
Everyo... | Alice is funny. | contradiction | (![X]:(~patient(X)<=>(~humble(X)<~>funny(X))))&
(![X]:(wise(X)<=>(~tall(X)&~brave(X))))&
(![X]:(~brave(X)<=>(brave(X)<~>~calm(X))))&
(![X]:(~generous(X)=>generous(X)))&
((?[X]:(quiet(X)))<=>(?[X]:(curious(X))))&
(![X]:((~humble(X)&strong(X))<=>(~funny(X)&funny(X))))&
(((~quiet(mary)<~>~generous(mary)))<=>((~funny(susan... | funny(alice) | [
"p0",
"p2",
"p3",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6477277746785843602506730
% SZS output start Proof for 6477277746785843602506730
1. ! [X0] : (~patient(X0) <=> (~humble(X0) <~> funny(X0))) [input p0]
3. ! [X0] : (~brave(X0) <=> (brave(X0) <~> ~calm(X0))) [input p2]
4. ! [X0] : (~generous(X0) => generous(X0)) [input p3]
8. ! [X0] : (~cal... | 0 |
Everyone who is generous is happy. Everyone who is not quiet or not kind is not rich or quiet and vice versa. Everyone who is generous or tall is patient or creative and vice versa. If someone is both old and quiet then alice is both not old and humble and vice versa. Everyone who is happy is not brave and vice versa. ... | Mary is happy. | entailment | (![X]:(generous(X)=>happy(X)))&
(![X]:((~quiet(X)|~kind(X))<=>(~rich(X)|quiet(X))))&
(![X]:((generous(X)|tall(X))<=>(patient(X)|creative(X))))&
((?[X]:((old(X)&quiet(X))))<=>((~old(alice)&humble(alice))))&
(![X]:(happy(X)<=>~brave(X)))&
(((brave(alice)&~kind(alice)))=>((~tall(john)&~strong(john))))&
(![X]:(~funny(X)=>(... | happy(mary) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6743747962348971153348992
% SZS output start Proof for 6743747962348971153348992
1. ! [X0] : (generous(X0) => happy(X0)) [input p0]
2. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (quiet(X0) | ~rich(X0))) [input p1]
3. ! [X0] : ((tall(X0) | generous(X0)) <=> (creative(X0) | patient(X0))) [input... | 0 |
Everyone who is either not old or not kind is either humble or not old and vice versa.
If fred is calm or wise then fred is both brave and not humble and vice versa.
Everyone who is either not old or not patient is either funny or patient.
If fred is funny or not old then someone is old and vice versa.
Everyone who is ... | Mary is not curious. | neutral | (![X]:((~old(X)<~>~kind(X))<=>(humble(X)<~>~old(X))))&
(((calm(fred)|wise(fred)))<=>((brave(fred)&~humble(fred))))&
(![X]:((~old(X)<~>~patient(X))=>(funny(X)<~>patient(X))))&
(((funny(fred)|~old(fred)))<=>(?[X]:(old(X))))&
(![X]:(~calm(X)=>(happy(X)|~humble(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~funny(X)))&
(![X]:((~ric... | ~curious(mary) | [] | null | 0 |
Everyone who is funny is either not wise or calm and vice versa.
If someone is kind or not strong then lucy is either creative or brave.
If susan is either creative or tall then fred is not strong.
If fred is quiet or not rich then susan is not happy or not old.
Everyone who is rich or not wise is not brave.
Everyone w... | Lucy is funny. | entailment | (![X]:(funny(X)<=>(~wise(X)<~>calm(X))))&
((?[X]:((kind(X)|~strong(X))))=>((creative(lucy)<~>brave(lucy))))&
(((creative(susan)<~>tall(susan)))=>(~strong(fred)))&
(((quiet(fred)|~rich(fred)))=>((~happy(susan)|~old(susan))))&
(![X]:((rich(X)|~wise(X))=>~brave(X)))&
(![X]:((~strong(X)|~generous(X))=>strong(X)))&
(((~old(... | funny(lucy) | [
"p0",
"p4",
"p7",
"p8",
"p10",
"p11",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1118732275248484390910013
% SZS output start Proof for 1118732275248484390910013
1. ! [X0] : (funny(X0) <=> (~wise(X0) <~> calm(X0))) [input p0]
5. ! [X0] : ((~wise(X0) | rich(X0)) => ~brave(X0)) [input p4]
8. ! [X0] : (~brave(X0) <=> (~wise(X0) & happy(X0))) [input p7]
9. ! [X0] : ((rich... | 0 |
Everyone who is not humble or not generous is either not quiet or tall.
Everyone who is strong is both rich and kind.
If john is both brave and not tall then someone is creative or not rich and vice versa.
If susan is brave or quiet then paul is not patient or kind.
If someone is either not rich or not generous then ma... | Mary is happy. | entailment | (![X]:((~humble(X)|~generous(X))=>(~quiet(X)<~>tall(X))))&
(![X]:(strong(X)=>(rich(X)&kind(X))))&
(((brave(john)&~tall(john)))<=>(?[X]:((creative(X)|~rich(X)))))&
(((brave(susan)|quiet(susan)))=>((~patient(paul)|kind(paul))))&
((?[X]:((~rich(X)<~>~generous(X))))=>(happy(mary)))&
(![X]:(funny(X)<=>(~rich(X)<~>kind(X))))... | happy(mary) | [
"p1",
"p4",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6198974269321747869698363
% SZS output start Proof for 6198974269321747869698363
2. ! [X0] : (strong(X0) => (kind(X0) & rich(X0))) [input p1]
5. ? [X0] : (~rich(X0) <~> ~generous(X0)) => happy(mary) [input p4]
8. ! [X0] : (calm(X0) <=> (~generous(X0) | ~calm(X0))) [input p7]
23. ? [X0] : ... | 0 |
Everyone who is funny or not humble is tall and vice versa.
Everyone who is both rich and not curious is both not happy and patient.
If someone is not calm or not quiet then lucy is creative or calm and vice versa.
Everyone who is not creative is both not curious and rich.
Everyone who is strong is either not quiet or ... | Fred is not calm. | neutral | (![X]:((funny(X)|~humble(X))<=>tall(X)))&
(![X]:((rich(X)&~curious(X))=>(~happy(X)&patient(X))))&
((?[X]:((~calm(X)|~quiet(X))))<=>((creative(lucy)|calm(lucy))))&
(![X]:(~creative(X)=>(~curious(X)&rich(X))))&
(![X]:(strong(X)<=>(~quiet(X)<~>kind(X))))&
((~calm(alice))<=>((humble(john)<~>~tall(john))))&
(((~curious(fred... | ~calm(fred) | [] | null | 0 |
If fred is both wise and curious then susan is both not wise and curious.
Everyone who is not tall or rich is both not old and humble and vice versa.
If susan is both not wise and not funny then lucy is not wise and vice versa.
If susan is both generous and patient then someone is not brave or not tall.
If fred is humb... | Lucy is old. | neutral | (((wise(fred)&curious(fred)))=>((~wise(susan)&curious(susan))))&
(![X]:((~tall(X)|rich(X))<=>(~old(X)&humble(X))))&
(((~wise(susan)&~funny(susan)))<=>(~wise(lucy)))&
(((generous(susan)&patient(susan)))=>(?[X]:((~brave(X)|~tall(X)))))&
(((humble(fred)|~old(fred)))<=>((calm(mary)|~tall(mary))))&
((?[X]:(~generous(X)))<=>... | old(lucy) | [] | null | 0 |
Everyone who is either not strong or not patient is not calm or not quiet and vice versa.
If paul is both strong and generous then someone is patient and vice versa.
Everyone who is creative is either not rich or tall and vice versa.
If someone is wise or calm then fred is old or not tall.
If someone is creative or not... | Paul is not strong. | contradiction | (![X]:((~strong(X)<~>~patient(X))<=>(~calm(X)|~quiet(X))))&
(((strong(paul)&generous(paul)))<=>(?[X]:(patient(X))))&
(![X]:(creative(X)<=>(~rich(X)<~>tall(X))))&
((?[X]:((wise(X)|calm(X))))=>((old(fred)|~tall(fred))))&
((?[X]:((creative(X)|~quiet(X))))=>(?[X]:((quiet(X)&rich(X)))))&
(((curious(paul)&generous(paul)))=>(... | ~strong(paul) | [
"p1",
"p2",
"p8",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5249900065349049170802744
% SZS output start Proof for 5249900065349049170802744
2. (generous(paul) & strong(paul)) <=> ? [X0] : patient(X0) [input p1]
3. ! [X0] : (creative(X0) <=> (~rich(X0) <~> tall(X0))) [input p2]
9. ! [X0] : (creative(X0) => (~creative(X0) & humble(X0))) [input p8]
... | 0 |
If someone is either not happy or generous then alice is funny.
If someone is either humble or kind then someone is both not brave and not patient.
Everyone who is strong is generous or happy and vice versa.
Everyone who is not patient is creative and vice versa.
If someone is happy or not tall then someone is both not... | Alice is not patient. | entailment | ((?[X]:((~happy(X)<~>generous(X))))=>(funny(alice)))&
((?[X]:((humble(X)<~>kind(X))))=>(?[X]:((~brave(X)&~patient(X)))))&
(![X]:(strong(X)<=>(generous(X)|happy(X))))&
(![X]:(~patient(X)<=>creative(X)))&
((?[X]:((happy(X)|~tall(X))))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:(~creative(X)<=>(old(X)&wise(X))))&
(![X]:((~st... | ~patient(alice) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5882370464891568079686732
% SZS output start Proof for 5882370464891568079686732
1. ? [X0] : (~happy(X0) <~> generous(X0)) => funny(alice) [input p0]
3. ! [X0] : (strong(X0) <=> (happy(X0) | generous(X0))) [input p2]
6. ! [X0] : (~creative(X0) <=> (wise(X0) & old(X0))) [input p5]
7. ! [X0... | 0 |
Everyone who is both funny and kind is not generous and vice versa.
If john is both not curious and tall then someone is either not tall or kind and vice versa.
Everyone who is not brave is both kind and creative and vice versa.
If someone is either strong or humble then someone is both strong and wise and vice versa.
... | Fred is not funny. | entailment | (![X]:((funny(X)&kind(X))<=>~generous(X)))&
(((~curious(john)&tall(john)))<=>(?[X]:((~tall(X)<~>kind(X)))))&
(![X]:(~brave(X)<=>(kind(X)&creative(X))))&
((?[X]:((strong(X)<~>humble(X))))<=>(?[X]:((strong(X)&wise(X)))))&
(![X]:(quiet(X)=>(~patient(X)|~generous(X))))&
(((patient(fred)<~>~strong(fred)))<=>(~rich(susan)))&... | ~funny(fred) | [
"p0",
"p2",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1665494863988714278646439
% SZS output start Proof for 1665494863988714278646439
1. ! [X0] : ((kind(X0) & funny(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : (~brave(X0) <=> (creative(X0) & kind(X0))) [input p2]
20. ~calm(fred) & ~brave(fred) [input p19]
21. generous(fred) [input p20]
25... | 0 |
Everyone who is both not tall and not quiet is both not wise and not patient.
If someone is either not quiet or not curious then someone is both wise and quiet and vice versa.
Everyone who is both not kind and tall is both not old and brave.
Everyone who is both not patient and curious is kind.
If alice is not calm the... | Susan is old. | neutral | (![X]:((~tall(X)&~quiet(X))=>(~wise(X)&~patient(X))))&
((?[X]:((~quiet(X)<~>~curious(X))))<=>(?[X]:((wise(X)&quiet(X)))))&
(![X]:((~kind(X)&tall(X))=>(~old(X)&brave(X))))&
(![X]:((~patient(X)&curious(X))=>kind(X)))&
((~calm(alice))<=>((~patient(mary)|~happy(mary))))&
((generous(mary))=>((funny(lucy)&happy(lucy))))&
(![... | old(susan) | [] | null | 0 |
Everyone who is humble or not old is both wise and generous. Everyone who is both not quiet and not happy is kind or wise and vice versa. Everyone who is creative or not curious is not curious or not kind and vice versa. If alice is either happy or generous then alice is not happy or not wise. Everyone who is not creat... | Lucy is rich. | neutral | (![X]:((humble(X)|~old(X))=>(wise(X)&generous(X))))&
(![X]:((~quiet(X)&~happy(X))<=>(kind(X)|wise(X))))&
(![X]:((creative(X)|~curious(X))<=>(~curious(X)|~kind(X))))&
(((happy(alice)<~>generous(alice)))=>((~happy(alice)|~wise(alice))))&
(![X]:((~creative(X)|~patient(X))=>~quiet(X)))&
((?[X]:((~curious(X)|~quiet(X))))<=>... | rich(lucy) | [] | null | 0 |
If someone is both not happy and funny then someone is patient or calm.
If mary is calm or not brave then john is old or not strong.
Everyone who is not quiet or humble is not strong or not old.
If someone is both rich and not humble then someone is either happy or creative.
Everyone who is both strong and not brave is... | Alice is happy. | neutral | ((?[X]:((~happy(X)&funny(X))))=>(?[X]:((patient(X)|calm(X)))))&
(((calm(mary)|~brave(mary)))=>((old(john)|~strong(john))))&
(![X]:((~quiet(X)|humble(X))=>(~strong(X)|~old(X))))&
((?[X]:((rich(X)&~humble(X))))=>(?[X]:((happy(X)<~>creative(X)))))&
(![X]:((strong(X)&~brave(X))<=>~kind(X)))&
(((wise(john)&tall(john)))<=>(b... | happy(alice) | [] | null | 0 |
Everyone who is either wise or not humble is kind and vice versa. Everyone who is either not strong or not generous is both humble and kind. Everyone who is patient or rich is not generous. Everyone who is either not calm or funny is tall or not rich. If someone is not happy or not patient then someone is old and vice ... | Alice is kind. | entailment | (![X]:((wise(X)<~>~humble(X))<=>kind(X)))&
(![X]:((~strong(X)<~>~generous(X))=>(humble(X)&kind(X))))&
(![X]:((patient(X)|rich(X))=>~generous(X)))&
(![X]:((~calm(X)<~>funny(X))=>(tall(X)|~rich(X))))&
((?[X]:((~happy(X)|~patient(X))))<=>(?[X]:(old(X))))&
(((happy(john)|calm(john)))<=>(?[X]:((~creative(X)<~>~strong(X)))))... | kind(alice) | [
"p0",
"p3",
"p6",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2447451306037168205488316
% SZS output start Proof for 2447451306037168205488316
1. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> kind(X0)) [input p0]
4. ! [X0] : ((~calm(X0) <~> funny(X0)) => (~rich(X0) | tall(X0))) [input p3]
7. ! [X0] : (patient(X0) => ~quiet(X0)) [input p6]
8. ? [X0] : (~c... | 0 |
If mary is not calm then alice is not funny and vice versa.
If mary is not strong then mary is either not curious or tall.
Everyone who is both not kind and calm is both not funny and humble and vice versa.
Everyone who is creative or not curious is both not happy and not creative and vice versa.
If fred is both not ol... | Paul is rich. | neutral | ((~calm(mary))<=>(~funny(alice)))&
((~strong(mary))=>((~curious(mary)<~>tall(mary))))&
(![X]:((~kind(X)&calm(X))<=>(~funny(X)&humble(X))))&
(![X]:((creative(X)|~curious(X))<=>(~happy(X)&~creative(X))))&
(((~old(fred)&calm(fred)))<=>((~happy(susan)<~>~humble(susan))))&
((?[X]:((strong(X)<~>funny(X))))<=>(?[X]:((patient(... | rich(paul) | [] | null | 0 |
If fred is both not funny and patient then mary is brave or not calm.
If susan is strong or humble then lucy is old or creative.
If someone is tall then john is happy or not brave.
Everyone who is generous is not tall.
If someone is curious or not quiet then susan is either not funny or not wise.
Everyone who is both n... | Lucy is old. | neutral | (((~funny(fred)&patient(fred)))=>((brave(mary)|~calm(mary))))&
(((strong(susan)|humble(susan)))=>((old(lucy)|creative(lucy))))&
((?[X]:(tall(X)))=>((happy(john)|~brave(john))))&
(![X]:(generous(X)=>~tall(X)))&
((?[X]:((curious(X)|~quiet(X))))=>((~funny(susan)<~>~wise(susan))))&
(![X]:((~old(X)&~tall(X))<=>~generous(X))... | old(lucy) | [] | null | 0 |
If someone is rich or not calm then someone is either not brave or not quiet and vice versa.
If alice is either tall or not funny then john is either wise or not rich.
Everyone who is not happy or not wise is funny and vice versa.
Everyone who is strong or tall is curious or not tall and vice versa.
If susan is either ... | Fred is not tall. | contradiction | ((?[X]:((rich(X)|~calm(X))))<=>(?[X]:((~brave(X)<~>~quiet(X)))))&
(((tall(alice)<~>~funny(alice)))=>((wise(john)<~>~rich(john))))&
(![X]:((~happy(X)|~wise(X))<=>funny(X)))&
(![X]:((strong(X)|tall(X))<=>(curious(X)|~tall(X))))&
(((quiet(susan)<~>happy(susan)))<=>((calm(paul)|happy(paul))))&
((?[X]:((~generous(X)&~rich(X... | ~tall(fred) | [
"p8",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 404695612009307728931194
% SZS output start Proof for 404695612009307728931194
9. ! [X0] : (patient(X0) => (~funny(X0) & funny(X0))) [input p8]
13. ! [X0] : ((~patient(X0) & ~tall(X0)) <=> (rich(X0) & ~curious(X0))) [input p12]
22. ~rich(fred) [input p21]
25. ~tall(fred) [input hypothesis... | 0 |
If someone is not tall then paul is not kind or generous and vice versa.
Everyone who is humble or not rich is rich or funny and vice versa.
Everyone who is both not curious and brave is not curious or strong.
If someone is generous then susan is either not happy or not patient.
If susan is both not brave and not kind ... | Paul is funny. | neutral | ((?[X]:(~tall(X)))<=>((~kind(paul)|generous(paul))))&
(![X]:((humble(X)|~rich(X))<=>(rich(X)|funny(X))))&
(![X]:((~curious(X)&brave(X))=>(~curious(X)|strong(X))))&
((?[X]:(generous(X)))=>((~happy(susan)<~>~patient(susan))))&
(((~brave(susan)&~kind(susan)))=>((humble(alice)&brave(alice))))&
((?[X]:((~generous(X)<~>creat... | funny(paul) | [] | null | 0 |
If someone is both not calm and curious then someone is either not quiet or rich and vice versa.
Everyone who is not kind or not strong is quiet and vice versa.
Everyone who is either not generous or humble is not rich and vice versa.
If susan is both tall and not brave then someone is both rich and not funny.
Everyone... | Paul is not curious. | entailment | ((?[X]:((~calm(X)&curious(X))))<=>(?[X]:((~quiet(X)<~>rich(X)))))&
(![X]:((~kind(X)|~strong(X))<=>quiet(X)))&
(![X]:((~generous(X)<~>humble(X))<=>~rich(X)))&
(((tall(susan)&~brave(susan)))=>(?[X]:((rich(X)&~funny(X)))))&
(![X]:((tall(X)|~happy(X))<=>(generous(X)&~brave(X))))&
(![X]:(~strong(X)<=>(~rich(X)|~patient(X)))... | ~curious(paul) | [
"p1",
"p4",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5984199197872024425653298
% SZS output start Proof for 5984199197872024425653298
2. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> quiet(X0)) [input p1]
5. ! [X0] : ((~happy(X0) | tall(X0)) <=> (~brave(X0) & generous(X0))) [input p4]
6. ! [X0] : (~strong(X0) <=> (~patient(X0) | ~rich(X0))) [inpu... | 0 |
If mary is either not humble or not brave then someone is both curious and not old. Everyone who is both generous and not creative is not wise and vice versa. Everyone who is both not wise and not brave is either calm or not generous. Everyone who is not brave is both humble and kind and vice versa. Everyone who is fun... | Mary is calm. | neutral | (((~humble(mary)<~>~brave(mary)))=>(?[X]:((curious(X)&~old(X)))))&
(![X]:((generous(X)&~creative(X))<=>~wise(X)))&
(![X]:((~wise(X)&~brave(X))=>(calm(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>(humble(X)&kind(X))))&
(![X]:((funny(X)|humble(X))=>(quiet(X)<~>~generous(X))))&
(((kind(mary)&strong(mary)))<=>(?[X]:((quiet(X)&... | calm(mary) | [] | null | 0 |
Everyone who is either not kind or not humble is quiet and vice versa. If someone is brave or not patient then susan is either patient or not strong. Everyone who is humble is either not creative or tall and vice versa. If someone is funny then susan is not happy or not kind. If alice is either not tall or not strong t... | Fred is kind. | entailment | (![X]:((~kind(X)<~>~humble(X))<=>quiet(X)))&
((?[X]:((brave(X)|~patient(X))))=>((patient(susan)<~>~strong(susan))))&
(![X]:(humble(X)<=>(~creative(X)<~>tall(X))))&
((?[X]:(funny(X)))=>((~happy(susan)|~kind(susan))))&
(((~tall(alice)<~>~strong(alice)))<=>(?[X]:(~old(X))))&
(![X]:((~tall(X)&rich(X))<=>(strong(X)&~curious... | kind(fred) | [
"p0",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8061853165046484941994856
% SZS output start Proof for 8061853165046484941994856
1. ! [X0] : ((~kind(X0) <~> ~humble(X0)) <=> quiet(X0)) [input p0]
9. ? [X0] : (~tall(X0) | strong(X0)) <=> (tall(fred) | ~quiet(fred)) [input p8]
13. ! [X0] : ((tall(X0) | old(X0)) => ~humble(X0)) [input p12... | 0 |
If susan is brave then susan is not calm. If paul is both not generous and not strong then someone is humble or strong. If someone is rich then someone is both curious and wise. Everyone who is both old and curious is not generous or quiet and vice versa. If someone is both not calm and curious then fred is both not wi... | Lucy is not old. | contradiction | ((brave(susan))=>(~calm(susan)))&
(((~generous(paul)&~strong(paul)))=>(?[X]:((humble(X)|strong(X)))))&
((?[X]:(rich(X)))=>(?[X]:((curious(X)&wise(X)))))&
(![X]:((old(X)&curious(X))<=>(~generous(X)|quiet(X))))&
((?[X]:((~calm(X)&curious(X))))<=>((~wise(fred)&happy(fred))))&
(![X]:((~quiet(X)&~strong(X))=>(kind(X)&rich(X... | ~old(lucy) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3386085694562451910116111
% SZS output start Proof for 3386085694562451910116111
4. ! [X0] : ((curious(X0) & old(X0)) <=> (quiet(X0) | ~generous(X0))) [input p3]
21. quiet(lucy) [input p20]
22. ~old(lucy) [input hypothesis]
42. ! [X0] : (((curious(X0) & old(X0)) | (~quiet(X0) & generous(X... | 0 |
Everyone who is either not funny or kind is either happy or curious and vice versa.
Everyone who is not quiet is humble and vice versa.
Everyone who is both not tall and strong is either calm or kind.
If someone is both not calm and patient then someone is not calm and vice versa.
If someone is not quiet then someone i... | Paul is patient. | neutral | (![X]:((~funny(X)<~>kind(X))<=>(happy(X)<~>curious(X))))&
(![X]:(~quiet(X)<=>humble(X)))&
(![X]:((~tall(X)&strong(X))=>(calm(X)<~>kind(X))))&
((?[X]:((~calm(X)&patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~generous(X)<~>rich(X)))))&
(((brave(john)&kind(john)))=>((patient(paul)|~curious(paul))))&
((... | patient(paul) | [] | null | 0 |
Everyone who is calm or not wise is strong and vice versa.
Everyone who is not kind or strong is either happy or tall.
Everyone who is not wise is either wise or creative.
Everyone who is either happy or not old is both creative and rich.
If someone is not brave or calm then someone is not rich or patient.
Everyone who... | Susan is not funny. | entailment | (![X]:((calm(X)|~wise(X))<=>strong(X)))&
(![X]:((~kind(X)|strong(X))=>(happy(X)<~>tall(X))))&
(![X]:(~wise(X)=>(wise(X)<~>creative(X))))&
(![X]:((happy(X)<~>~old(X))=>(creative(X)&rich(X))))&
((?[X]:((~brave(X)|calm(X))))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((curious(X)|calm(X))=>(~creative(X)|~wise(X))))&
(![X]:((... | ~funny(susan) | [
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2121988628279199202146104
% SZS output start Proof for 2121988628279199202146104
9. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> (rich(X0) & old(X0))) [input p8]
11. ! [X0] : ((curious(X0) <~> ~creative(X0)) <=> (~creative(X0) <~> ~strong(X0))) [input p10]
15. ? [X0] : (funny(X0) | tall(X0)) ... | 0 |
If fred is not strong or not rich then alice is both generous and happy and vice versa. Everyone who is not brave or funny is both not patient and wise and vice versa. Everyone who is either quiet or not creative is quiet and vice versa. If someone is curious then mary is old. If someone is either quiet or rich then fr... | John is not strong. | neutral | (((~strong(fred)|~rich(fred)))<=>((generous(alice)&happy(alice))))&
(![X]:((~brave(X)|funny(X))<=>(~patient(X)&wise(X))))&
(![X]:((quiet(X)<~>~creative(X))<=>quiet(X)))&
((?[X]:(curious(X)))=>(old(mary)))&
((?[X]:((quiet(X)<~>rich(X))))=>((~quiet(fred)|~rich(fred))))&
(((~strong(susan)&~humble(susan)))<=>((~humble(mary... | ~strong(john) | [] | null | 0 |
Everyone who is calm is either not funny or calm. Everyone who is tall or rich is either wise or not brave and vice versa. Everyone who is creative is not funny or generous. Everyone who is either patient or rich is tall. Everyone who is not brave or not curious is tall. Everyone who is both not calm and strong is eith... | Alice is tall. | entailment | (![X]:(calm(X)=>(~funny(X)<~>calm(X))))&
(![X]:((tall(X)|rich(X))<=>(wise(X)<~>~brave(X))))&
(![X]:(creative(X)=>(~funny(X)|generous(X))))&
(![X]:((patient(X)<~>rich(X))=>tall(X)))&
(![X]:((~brave(X)|~curious(X))=>tall(X)))&
(![X]:((~calm(X)&strong(X))=>(~generous(X)<~>~patient(X))))&
((?[X]:((~tall(X)<~>~old(X))))<=>(... | tall(alice) | [
"p1",
"p3",
"p9",
"p12",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6557630171505506912515136
% SZS output start Proof for 6557630171505506912515136
2. ! [X0] : ((rich(X0) | tall(X0)) <=> (wise(X0) <~> ~brave(X0))) [input p1]
4. ! [X0] : ((patient(X0) <~> rich(X0)) => tall(X0)) [input p3]
10. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (old(X0) & ~humble(X0))... | 0 |
If alice is funny or patient then fred is calm or not tall and vice versa.
If someone is both not curious and not brave then someone is either not wise or happy and vice versa.
Everyone who is both rich and not calm is patient or not wise.
Everyone who is not creative or not rich is rich or wise.
If susan is either not... | Paul is funny. | neutral | (((funny(alice)|patient(alice)))<=>((calm(fred)|~tall(fred))))&
((?[X]:((~curious(X)&~brave(X))))<=>(?[X]:((~wise(X)<~>happy(X)))))&
(![X]:((rich(X)&~calm(X))=>(patient(X)|~wise(X))))&
(![X]:((~creative(X)|~rich(X))=>(rich(X)|wise(X))))&
(((~brave(susan)<~>~patient(susan)))<=>(?[X]:((patient(X)&old(X)))))&
(![X]:((wise... | funny(paul) | [] | null | 0 |
If someone is both generous and not curious then paul is not tall or creative.
If someone is either kind or strong then susan is both old and happy and vice versa.
Everyone who is not old is either not rich or rich and vice versa.
If mary is both patient and not quiet then someone is both kind and happy and vice versa.... | Paul is calm. | entailment | ((?[X]:((generous(X)&~curious(X))))=>((~tall(paul)|creative(paul))))&
((?[X]:((kind(X)<~>strong(X))))<=>((old(susan)&happy(susan))))&
(![X]:(~old(X)<=>(~rich(X)<~>rich(X))))&
(((patient(mary)&~quiet(mary)))<=>(?[X]:((kind(X)&happy(X)))))&
(![X]:((~patient(X)|~kind(X))=>(humble(X)|rich(X))))&
((?[X]:(~patient(X)))<=>(?[... | calm(paul) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6374083092447953991182834
% SZS output start Proof for 6374083092447953991182834
8. ! [X0] : ((strong(X0) | patient(X0)) => (~strong(X0) & brave(X0))) [input p7]
10. ? [X0] : ~calm(X0) => ? [X0] : (strong(X0) & ~kind(X0)) [input p9]
25. ~calm(paul) [input hypothesis]
27. ? [X0] : ~calm(X0... | 0 |
If paul is both not funny and wise then paul is not calm. Everyone who is quiet or not curious is both not brave and kind and vice versa. If john is both not quiet and wise then someone is humble and vice versa. If susan is not rich then mary is either not funny or not tall. If someone is either rich or not tall then s... | Paul is not strong. | entailment | (((~funny(paul)&wise(paul)))=>(~calm(paul)))&
(![X]:((quiet(X)|~curious(X))<=>(~brave(X)&kind(X))))&
(((~quiet(john)&wise(john)))<=>(?[X]:(humble(X))))&
((~rich(susan))=>((~funny(mary)<~>~tall(mary))))&
((?[X]:((rich(X)<~>~tall(X))))<=>(?[X]:((~kind(X)<~>creative(X)))))&
(((generous(paul)&~kind(paul)))<=>(?[X]:((funny(... | ~strong(paul) | [
"p1",
"p5",
"p6",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4851608172543158853238123
% SZS output start Proof for 4851608172543158853238123
2. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (kind(X0) & ~brave(X0))) [input p1]
6. (~kind(paul) & generous(paul)) <=> ? [X0] : (~old(X0) | funny(X0)) [input p5]
7. ! [X0] : ((~humble(X0) | ~curious(X0)) => (h... | 0 |
If susan is not tall then someone is both not patient and kind.
Everyone who is humble is generous or not rich and vice versa.
If fred is not curious then someone is creative or tall and vice versa.
Everyone who is either not calm or patient is either kind or not generous.
If fred is either not curious or not old then ... | Lucy is not calm. | neutral | ((~tall(susan))=>(?[X]:((~patient(X)&kind(X)))))&
(![X]:(humble(X)<=>(generous(X)|~rich(X))))&
((~curious(fred))<=>(?[X]:((creative(X)|tall(X)))))&
(![X]:((~calm(X)<~>patient(X))=>(kind(X)<~>~generous(X))))&
(((~curious(fred)<~>~old(fred)))<=>(?[X]:((~rich(X)|calm(X)))))&
(![X]:((tall(X)&funny(X))<=>generous(X)))&
((?[... | ~calm(lucy) | [] | null | 0 |
If mary is both generous and calm then susan is both wise and not calm.
Everyone who is calm or not generous is wise or creative and vice versa.
Everyone who is rich is not brave and vice versa.
Everyone who is funny or brave is tall or not generous.
If lucy is either generous or rich then fred is either not wise or no... | Mary is not old. | entailment | (((generous(mary)&calm(mary)))=>((wise(susan)&~calm(susan))))&
(![X]:((calm(X)|~generous(X))<=>(wise(X)|creative(X))))&
(![X]:(rich(X)<=>~brave(X)))&
(![X]:((funny(X)|brave(X))=>(tall(X)|~generous(X))))&
(((generous(lucy)<~>rich(lucy)))<=>((~wise(fred)<~>~rich(fred))))&
(![X]:(rich(X)=>~kind(X)))&
(![X]:(~funny(X)<=>(k... | ~old(mary) | [
"p0",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9121839916470815945686021
% SZS output start Proof for 9121839916470815945686021
1. (calm(mary) & generous(mary)) => (~calm(susan) & wise(susan)) [input p0]
7. ! [X0] : (~funny(X0) <=> (calm(X0) & kind(X0))) [input p6]
15. ! [X0] : (old(X0) => (calm(X0) & generous(X0))) [input p14]
16. ? ... | 0 |
If lucy is both creative and wise then someone is both curious and not brave. Everyone who is brave is not generous or happy. Everyone who is not old or old is both creative and strong and vice versa. If alice is old or not calm then someone is both not tall and not brave and vice versa. Everyone who is either not stro... | Alice is old. | contradiction | (((creative(lucy)&wise(lucy)))=>(?[X]:((curious(X)&~brave(X)))))&
(![X]:(brave(X)=>(~generous(X)|happy(X))))&
(![X]:((~old(X)|old(X))<=>(creative(X)&strong(X))))&
(((old(alice)|~calm(alice)))<=>(?[X]:((~tall(X)&~brave(X)))))&
(![X]:((~strong(X)<~>~quiet(X))<=>funny(X)))&
(![X]:(~generous(X)=>(quiet(X)<~>~quiet(X))))&
(... | old(alice) | [
"p2",
"p3",
"p4",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 514733775198904238184900
% SZS output start Proof for 514733775198904238184900
3. ! [X0] : ((old(X0) | ~old(X0)) <=> (strong(X0) & creative(X0))) [input p2]
4. (~calm(alice) | old(alice)) <=> ? [X0] : (~brave(X0) & ~tall(X0)) [input p3]
5. ! [X0] : ((~strong(X0) <~> ~quiet(X0)) <=> funny(... | 0 |
Everyone who is both strong and quiet is not curious or not creative and vice versa.
If someone is both tall and not kind then alice is strong and vice versa.
If someone is not rich then someone is both not curious and quiet.
Everyone who is not kind is both kind and tall and vice versa.
Everyone who is humble or quiet... | Fred is kind. | entailment | (![X]:((strong(X)&quiet(X))<=>(~curious(X)|~creative(X))))&
((?[X]:((tall(X)&~kind(X))))<=>(strong(alice)))&
((?[X]:(~rich(X)))=>(?[X]:((~curious(X)&quiet(X)))))&
(![X]:(~kind(X)<=>(kind(X)&tall(X))))&
(![X]:((humble(X)|quiet(X))=>(~rich(X)<~>~strong(X))))&
(![X]:(~humble(X)=>(curious(X)<~>quiet(X))))&
((~kind(fred))<=... | kind(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2268551481302760387381315
% SZS output start Proof for 2268551481302760387381315
4. ! [X0] : (~kind(X0) <=> (tall(X0) & kind(X0))) [input p3]
22. ~kind(fred) [input hypothesis]
45. ! [X0] : ((~kind(X0) | (~tall(X0) | ~kind(X0))) & ((tall(X0) & kind(X0)) | kind(X0))) [nnf transformation 4]... | 0 |
If someone is either calm or not rich then susan is not kind or kind and vice versa. Everyone who is happy is either not humble or humble and vice versa. If someone is not rich then someone is not curious and vice versa. Everyone who is either generous or not wise is both not wise and not patient. If someone is both fu... | Susan is not kind. | neutral | ((?[X]:((calm(X)<~>~rich(X))))<=>((~kind(susan)|kind(susan))))&
(![X]:(happy(X)<=>(~humble(X)<~>humble(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(~curious(X))))&
(![X]:((generous(X)<~>~wise(X))=>(~wise(X)&~patient(X))))&
((?[X]:((funny(X)&~strong(X))))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:((~curious(X)&tall(X))<=>~strong(X... | ~kind(susan) | [] | null | 0 |
Everyone who is either not happy or not curious is curious.
If someone is either rich or funny then someone is both humble and creative and vice versa.
If john is both not generous and generous then someone is either humble or tall.
Everyone who is not kind or creative is not calm or old and vice versa.
If alice is fun... | Susan is humble. | contradiction | (![X]:((~happy(X)<~>~curious(X))=>curious(X)))&
((?[X]:((rich(X)<~>funny(X))))<=>(?[X]:((humble(X)&creative(X)))))&
(((~generous(john)&generous(john)))=>(?[X]:((humble(X)<~>tall(X)))))&
(![X]:((~kind(X)|creative(X))<=>(~calm(X)|old(X))))&
(((funny(alice)|kind(alice)))<=>((~quiet(alice)|quiet(alice))))&
(![X]:((quiet(X)... | humble(susan) | [
"p0",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7017010320650258864417980
% SZS output start Proof for 7017010320650258864417980
1. ! [X0] : ((~happy(X0) <~> ~curious(X0)) => curious(X0)) [input p0]
8. (happy(paul) <~> ~wise(paul)) <=> ? [X0] : humble(X0) [input p7]
10. ! [X0] : (curious(X0) <=> (~curious(X0) & ~patient(X0))) [input p9... | 0 |
Everyone who is both not strong and not funny is kind.
If someone is either not patient or not rich then someone is not brave or not quiet and vice versa.
If fred is not strong then john is both not creative and not generous and vice versa.
Everyone who is creative or not generous is not rich or not calm and vice versa... | Lucy is not humble. | entailment | (![X]:((~strong(X)&~funny(X))=>kind(X)))&
((?[X]:((~patient(X)<~>~rich(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&
((~strong(fred))<=>((~creative(john)&~generous(john))))&
(![X]:((creative(X)|~generous(X))<=>(~rich(X)|~calm(X))))&
((?[X]:((~old(X)<~>~rich(X))))<=>((creative(mary)&~generous(mary))))&
(((~calm(john)&wise(jo... | ~humble(lucy) | [
"p3",
"p8",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 75549174326588520769206
% SZS output start Proof for 75549174326588520769206
4. ! [X0] : ((~generous(X0) | creative(X0)) <=> (~calm(X0) | ~rich(X0))) [input p3]
9. ! [X0] : ((kind(X0) <~> ~creative(X0)) <=> (~strong(X0) & patient(X0))) [input p8]
10. (~humble(lucy) & ~generous(lucy)) <=> ... | 0 |
If someone is not kind or not creative then lucy is not rich and vice versa.
If fred is happy then someone is both not curious and kind and vice versa.
Everyone who is both not rich and not wise is not rich or humble and vice versa.
If paul is not curious then john is both wise and rich and vice versa.
If someone is no... | Fred is calm. | contradiction | ((?[X]:((~kind(X)|~creative(X))))<=>(~rich(lucy)))&
((happy(fred))<=>(?[X]:((~curious(X)&kind(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(~rich(X)|humble(X))))&
((~curious(paul))<=>((wise(john)&rich(john))))&
((?[X]:(~patient(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((creative(X)|generous(X))=>(quiet(X)&~calm(X))))&
(![X]:(creative... | calm(fred) | [
"p0",
"p2",
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2667633935341078894801302
% SZS output start Proof for 2667633935341078894801302
1. ? [X0] : (~creative(X0) | ~kind(X0)) <=> ~rich(lucy) [input p0]
3. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> (humble(X0) | ~rich(X0))) [input p2]
6. ! [X0] : ((generous(X0) | creative(X0)) => (~calm(X0) & quie... | 0 |
Everyone who is both curious and brave is not brave and vice versa.
If paul is both not curious and wise then someone is quiet or not tall.
Everyone who is either calm or not kind is generous and vice versa.
Everyone who is not quiet or strong is both tall and not brave and vice versa.
Everyone who is happy or not stro... | Mary is kind. | entailment | (![X]:((curious(X)&brave(X))<=>~brave(X)))&
(((~curious(paul)&wise(paul)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((calm(X)<~>~kind(X))<=>generous(X)))&
(![X]:((~quiet(X)|strong(X))<=>(tall(X)&~brave(X))))&
(![X]:((happy(X)|~strong(X))=>(old(X)|~patient(X))))&
(((~humble(fred)&~happy(fred)))=>(?[X]:((rich(X)|~rich(X))))... | kind(mary) | [
"p0",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6568132407567779681678411
% SZS output start Proof for 6568132407567779681678411
1. ! [X0] : ((brave(X0) & curious(X0)) <=> ~brave(X0)) [input p0]
7. ! [X0] : (brave(X0) <=> (~calm(X0) & old(X0))) [input p6]
14. ? [X0] : (~calm(X0) <~> kind(X0)) <=> (~brave(susan) & generous(susan)) [inpu... | 0 |
If mary is both patient and strong then someone is not calm and vice versa.
If alice is either brave or not rich then susan is both not tall and not funny.
If someone is not humble or wise then paul is both tall and creative.
Everyone who is either happy or not old is creative.
If paul is either not calm or not humble ... | Alice is not tall. | neutral | (((patient(mary)&strong(mary)))<=>(?[X]:(~calm(X))))&
(((brave(alice)<~>~rich(alice)))=>((~tall(susan)&~funny(susan))))&
((?[X]:((~humble(X)|wise(X))))=>((tall(paul)&creative(paul))))&
(![X]:((happy(X)<~>~old(X))=>creative(X)))&
(((~calm(paul)<~>~humble(paul)))=>(?[X]:(~quiet(X))))&
(![X]:((~patient(X)|~strong(X))=>~qu... | ~tall(alice) | [] | null | 0 |
If paul is not happy then lucy is either calm or wise and vice versa.
If john is either old or not old then someone is both funny and rich.
Everyone who is not tall or humble is both patient and not creative.
If someone is both kind and not old then john is either tall or not rich and vice versa.
If mary is either kind... | Lucy is tall. | entailment | ((~happy(paul))<=>((calm(lucy)<~>wise(lucy))))&
(((old(john)<~>~old(john)))=>(?[X]:((funny(X)&rich(X)))))&
(![X]:((~tall(X)|humble(X))=>(patient(X)&~creative(X))))&
((?[X]:((kind(X)&~old(X))))<=>((tall(john)<~>~rich(john))))&
(((kind(mary)<~>~curious(mary)))=>(creative(fred)))&
((?[X]:((old(X)|~humble(X))))=>((~wise(ma... | tall(lucy) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 486498408485846921139075
% SZS output start Proof for 486498408485846921139075
3. ! [X0] : ((humble(X0) | ~tall(X0)) => (~creative(X0) & patient(X0))) [input p2]
16. ~patient(lucy) [input p15]
24. ~tall(lucy) [input hypothesis]
29. ! [X0] : ((~creative(X0) & patient(X0)) | (~humble(X0) & ... | 0 |
If mary is either not curious or strong then fred is not wise or not patient and vice versa.
Everyone who is calm or not happy is brave.
Everyone who is old is both not calm and tall.
Everyone who is old or not old is both patient and old and vice versa.
If susan is either wise or curious then someone is either not fun... | Mary is not happy. | neutral | (((~curious(mary)<~>strong(mary)))<=>((~wise(fred)|~patient(fred))))&
(![X]:((calm(X)|~happy(X))=>brave(X)))&
(![X]:(old(X)=>(~calm(X)&tall(X))))&
(![X]:((old(X)|~old(X))<=>(patient(X)&old(X))))&
(((wise(susan)<~>curious(susan)))<=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((humble(X)&~humble(X))=>(~kind(X)|patient(X))))&... | ~happy(mary) | [] | null | 0 |
If someone is not tall then someone is strong or patient and vice versa. Everyone who is generous or strong is not curious or kind. If someone is both happy and calm then mary is not brave or not generous. If fred is either quiet or not quiet then someone is rich and vice versa. Everyone who is either not happy or humb... | Lucy is patient. | entailment | ((?[X]:(~tall(X)))<=>(?[X]:((strong(X)|patient(X)))))&
(![X]:((generous(X)|strong(X))=>(~curious(X)|kind(X))))&
((?[X]:((happy(X)&calm(X))))=>((~brave(mary)|~generous(mary))))&
(((quiet(fred)<~>~quiet(fred)))<=>(?[X]:(rich(X))))&
(![X]:((~happy(X)<~>humble(X))<=>~calm(X)))&
(![X]:((~quiet(X)&~tall(X))<=>~patient(X)))&
... | patient(lucy) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7892149272625960765368645
% SZS output start Proof for 7892149272625960765368645
10. ? [X0] : ~patient(X0) <=> ? [X0] : strong(X0) [input p9]
11. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (quiet(X0) | strong(X0))) [input p10]
24. ~patient(lucy) [input hypothesis]
26. ? [X0] : ~patient(X0)... | 0 |
If john is tall then mary is quiet or happy and vice versa.
Everyone who is either not wise or wise is both not curious and kind.
Everyone who is brave is both brave and happy and vice versa.
If lucy is both old and not humble then someone is either creative or not strong.
If someone is not humble then fred is not quie... | Paul is humble. | neutral | ((tall(john))<=>((quiet(mary)|happy(mary))))&
(![X]:((~wise(X)<~>wise(X))=>(~curious(X)&kind(X))))&
(![X]:(brave(X)<=>(brave(X)&happy(X))))&
(((old(lucy)&~humble(lucy)))=>(?[X]:((creative(X)<~>~strong(X)))))&
((?[X]:(~humble(X)))<=>((~quiet(fred)|~happy(fred))))&
(![X]:((~funny(X)|curious(X))=>(rich(X)|patient(X))))&
(... | humble(paul) | [] | null | 0 |
Everyone who is both not calm and creative is either kind or wise.
If someone is either not curious or strong then someone is both rich and not patient.
Everyone who is humble or not calm is not tall or strong.
If paul is both wise and not generous then someone is both funny and not patient.
Everyone who is both creati... | Fred is not funny. | entailment | (![X]:((~calm(X)&creative(X))=>(kind(X)<~>wise(X))))&
((?[X]:((~curious(X)<~>strong(X))))=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:((humble(X)|~calm(X))=>(~tall(X)|strong(X))))&
(((wise(paul)&~generous(paul)))=>(?[X]:((funny(X)&~patient(X)))))&
(![X]:((creative(X)&curious(X))<=>(happy(X)<~>~old(X))))&
((?[X]:((~creative... | ~funny(fred) | [
"p2",
"p6",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5274141300553978042967391
% SZS output start Proof for 5274141300553978042967391
3. ! [X0] : ((~calm(X0) | humble(X0)) => (strong(X0) | ~tall(X0))) [input p2]
7. ! [X0] : ((~kind(X0) & creative(X0)) <=> (~happy(X0) & strong(X0))) [input p6]
12. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (wise... | 0 |
Everyone who is either happy or old is not creative or creative.
If someone is wise then paul is not creative and vice versa.
If susan is not tall or humble then lucy is both humble and strong and vice versa.
Everyone who is either calm or not curious is not quiet or not rich and vice versa.
If susan is strong or not f... | Susan is not strong. | contradiction | (![X]:((happy(X)<~>old(X))=>(~creative(X)|creative(X))))&
((?[X]:(wise(X)))<=>(~creative(paul)))&
(((~tall(susan)|humble(susan)))<=>((humble(lucy)&strong(lucy))))&
(![X]:((calm(X)<~>~curious(X))<=>(~quiet(X)|~rich(X))))&
(((strong(susan)|~funny(susan)))<=>(?[X]:((~curious(X)<~>quiet(X)))))&
((?[X]:(~generous(X)))=>(?[X... | ~strong(susan) | [
"p7",
"p8",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7615185797373010671548112
% SZS output start Proof for 7615185797373010671548112
8. ! [X0] : (~brave(X0) <=> (~rich(X0) <~> ~quiet(X0))) [input p7]
9. ? [X0] : (~calm(X0) | happy(X0)) <=> (~quiet(susan) <~> ~brave(susan)) [input p8]
13. ! [X0] : ((~funny(X0) & ~rich(X0)) => ~quiet(X0)) [i... | 0 |
Everyone who is not strong is either not strong or kind and vice versa.
If lucy is both not tall and funny then fred is both strong and old and vice versa.
Everyone who is funny or curious is not happy and vice versa.
If alice is both creative and kind then mary is quiet.
If someone is not old then fred is both not cur... | Fred is tall. | entailment | (![X]:(~strong(X)<=>(~strong(X)<~>kind(X))))&
(((~tall(lucy)&funny(lucy)))<=>((strong(fred)&old(fred))))&
(![X]:((funny(X)|curious(X))<=>~happy(X)))&
(((creative(alice)&kind(alice)))=>(quiet(mary)))&
((?[X]:(~old(X)))=>((~curious(fred)&generous(fred))))&
((?[X]:(~funny(X)))=>(?[X]:(~happy(X))))&
(![X]:((happy(X)<~>gene... | tall(fred) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2640186453713334145701986
% SZS output start Proof for 2640186453713334145701986
1. ! [X0] : (~strong(X0) <=> (~strong(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((curious(X0) | funny(X0)) <=> ~happy(X0)) [input p2]
7. ! [X0] : ((happy(X0) <~> generous(X0)) <=> ~calm(X0)) [input p6]
8. ! [... | 0 |
Everyone who is not calm or not generous is either not happy or happy and vice versa.
Everyone who is both generous and creative is either humble or not generous and vice versa.
Everyone who is patient is either not creative or kind.
If someone is not quiet then paul is both quiet and not old.
If someone is not old the... | Susan is not rich. | contradiction | (![X]:((~calm(X)|~generous(X))<=>(~happy(X)<~>happy(X))))&
(![X]:((generous(X)&creative(X))<=>(humble(X)<~>~generous(X))))&
(![X]:(patient(X)=>(~creative(X)<~>kind(X))))&
((?[X]:(~quiet(X)))=>((quiet(paul)&~old(paul))))&
((?[X]:(~old(X)))=>(?[X]:((tall(X)|happy(X)))))&
(![X]:((rich(X)&~curious(X))<=>(~kind(X)<~>~rich(X... | ~rich(susan) | [
"p0",
"p1",
"p2",
"p5",
"p10",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 388611035735080350381964
% SZS output start Proof for 388611035735080350381964
1. ! [X0] : ((~generous(X0) | ~calm(X0)) <=> (~happy(X0) <~> happy(X0))) [input p0]
2. ! [X0] : ((creative(X0) & generous(X0)) <=> (humble(X0) <~> ~generous(X0))) [input p1]
3. ! [X0] : (patient(X0) => (~creati... | 0 |
Everyone who is not humble or not brave is both kind and old and vice versa.
Everyone who is both not curious and not old is either brave or not calm and vice versa.
If someone is either not creative or generous then someone is either funny or wise.
If john is calm then fred is both old and creative and vice versa.
If ... | Fred is rich. | neutral | (![X]:((~humble(X)|~brave(X))<=>(kind(X)&old(X))))&
(![X]:((~curious(X)&~old(X))<=>(brave(X)<~>~calm(X))))&
((?[X]:((~creative(X)<~>generous(X))))=>(?[X]:((funny(X)<~>wise(X)))))&
((calm(john))<=>((old(fred)&creative(fred))))&
((?[X]:(~brave(X)))=>(?[X]:((~tall(X)<~>~happy(X)))))&
(![X]:((~happy(X)|kind(X))=>(creative(... | rich(fred) | [] | null | 0 |
If someone is either happy or not old then someone is not quiet and vice versa. If lucy is not old or brave then paul is both brave and not humble. If someone is both not curious and strong then lucy is not tall or not rich. Everyone who is strong or brave is old or strong. Everyone who is either humble or kind is eith... | Alice is not happy. | entailment | ((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:(~quiet(X))))&
(((~old(lucy)|brave(lucy)))=>((brave(paul)&~humble(paul))))&
((?[X]:((~curious(X)&strong(X))))=>((~tall(lucy)|~rich(lucy))))&
(![X]:((strong(X)|brave(X))=>(old(X)|strong(X))))&
(![X]:((humble(X)<~>kind(X))<=>(~rich(X)<~>old(X))))&
((?[X]:((~brave(X)|~humble(X))))<=>... | ~happy(alice) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5529572243141570368928875
% SZS output start Proof for 5529572243141570368928875
10. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (brave(X0) | wise(X0))) [input p9]
12. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p11]
25. happy(alice) [input hypothesis]
54. ! [X0] ... | 0 |
Everyone who is both brave and kind is either not creative or calm and vice versa.
Everyone who is both not strong and not quiet is brave and vice versa.
Everyone who is rich is curious or not happy and vice versa.
Everyone who is either tall or humble is either not happy or tall.
Everyone who is not happy is either qu... | Susan is humble. | neutral | (![X]:((brave(X)&kind(X))<=>(~creative(X)<~>calm(X))))&
(![X]:((~strong(X)&~quiet(X))<=>brave(X)))&
(![X]:(rich(X)<=>(curious(X)|~happy(X))))&
(![X]:((tall(X)<~>humble(X))=>(~happy(X)<~>tall(X))))&
(![X]:(~happy(X)<=>(quiet(X)<~>humble(X))))&
((?[X]:((generous(X)|old(X))))<=>(?[X]:((kind(X)|~old(X)))))&
(![X]:((strong(... | humble(susan) | [] | null | 0 |
If someone is either not strong or curious then fred is either not strong or not old. Everyone who is not rich or not calm is both not patient and tall. Everyone who is both not old and funny is both not old and not brave and vice versa. If someone is not kind or wise then someone is either calm or funny. Everyone who ... | Paul is curious. | entailment | ((?[X]:((~strong(X)<~>curious(X))))=>((~strong(fred)<~>~old(fred))))&
(![X]:((~rich(X)|~calm(X))=>(~patient(X)&tall(X))))&
(![X]:((~old(X)&funny(X))<=>(~old(X)&~brave(X))))&
((?[X]:((~kind(X)|wise(X))))=>(?[X]:((calm(X)<~>funny(X)))))&
(![X]:((tall(X)&generous(X))=>(quiet(X)&generous(X))))&
((?[X]:((brave(X)&wise(X))))... | curious(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1466178467104246279936422
% SZS output start Proof for 1466178467104246279936422
12. ! [X0] : (old(X0) <=> (~curious(X0) & ~old(X0))) [input p11]
23. ~curious(paul) [input hypothesis]
54. ! [X0] : ((old(X0) | (curious(X0) | old(X0))) & ((~curious(X0) & ~old(X0)) | ~old(X0))) [nnf transfor... | 0 |
If someone is quiet then lucy is either not strong or not rich.
If someone is either not patient or not quiet then someone is curious.
Everyone who is patient is both not tall and happy.
Everyone who is not rich is not brave or not creative and vice versa.
If someone is either tall or patient then someone is either hap... | Paul is not old. | entailment | ((?[X]:(quiet(X)))=>((~strong(lucy)<~>~rich(lucy))))&
((?[X]:((~patient(X)<~>~quiet(X))))=>(?[X]:(curious(X))))&
(![X]:(patient(X)=>(~tall(X)&happy(X))))&
(![X]:(~rich(X)<=>(~brave(X)|~creative(X))))&
((?[X]:((tall(X)<~>patient(X))))<=>(?[X]:((happy(X)<~>curious(X)))))&
(![X]:((creative(X)|~creative(X))<=>(kind(X)|~qui... | ~old(paul) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9114072390194959639185363
% SZS output start Proof for 9114072390194959639185363
11. ! [X0] : ((~calm(X0) | kind(X0)) => ~old(X0)) [input p10]
16. ! [X0] : ((~old(X0) <~> ~kind(X0)) => kind(X0)) [input p15]
24. old(paul) [input hypothesis]
32. ! [X0] : (~old(X0) | (calm(X0) & ~kind(X0))) ... | 0 |
Everyone who is kind or not generous is not kind or not old and vice versa.
If someone is not creative then fred is not curious.
If paul is rich or not creative then someone is either not tall or not creative.
If alice is not strong or not humble then alice is rich or not curious.
If someone is wise or generous then jo... | Susan is not creative. | contradiction | (![X]:((kind(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:(~creative(X)))=>(~curious(fred)))&
(((rich(paul)|~creative(paul)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(((~strong(alice)|~humble(alice)))=>((rich(alice)|~curious(alice))))&
((?[X]:((wise(X)|generous(X))))<=>((~humble(john)<~>rich(john))))&
(![X]:((creative... | ~creative(susan) | [
"p0",
"p1",
"p6",
"p7",
"p8",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 175065961653530503689085
% SZS output start Proof for 175065961653530503689085
1. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~old(X0) | ~kind(X0))) [input p0]
2. ? [X0] : ~creative(X0) => ~curious(fred) [input p1]
7. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~happy(X0) | ~tall(X0))) [input... | 0 |
If alice is either not happy or wise then someone is either not old or kind.
If mary is either not happy or quiet then mary is kind.
If someone is generous then someone is either not creative or wise.
If paul is both rich and not strong then mary is both tall and not calm.
If someone is both calm and generous then mary... | Alice is not strong. | entailment | (((~happy(alice)<~>wise(alice)))=>(?[X]:((~old(X)<~>kind(X)))))&
(((~happy(mary)<~>quiet(mary)))=>(kind(mary)))&
((?[X]:(generous(X)))=>(?[X]:((~creative(X)<~>wise(X)))))&
(((rich(paul)&~strong(paul)))=>((tall(mary)&~calm(mary))))&
((?[X]:((calm(X)&generous(X))))=>((curious(mary)<~>creative(mary))))&
(![X]:((kind(X)|ri... | ~strong(alice) | [
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2642912775397992333151242
% SZS output start Proof for 2642912775397992333151242
6. ! [X0] : ((rich(X0) | kind(X0)) <=> ~kind(X0)) [input p5]
16. ! [X0] : ((funny(X0) | rich(X0)) <=> ~strong(X0)) [input p15]
23. strong(alice) [input hypothesis]
41. ! [X0] : (((rich(X0) | kind(X0)) | kind(... | 0 |
Everyone who is brave is not kind or not tall. If alice is both not wise and not generous then fred is both happy and not funny and vice versa. Everyone who is either generous or tall is not tall and vice versa. Everyone who is both not quiet and not patient is either not funny or old and vice versa. Everyone who is bo... | Paul is not generous. | contradiction | (![X]:(brave(X)=>(~kind(X)|~tall(X))))&
(((~wise(alice)&~generous(alice)))<=>((happy(fred)&~funny(fred))))&
(![X]:((generous(X)<~>tall(X))<=>~tall(X)))&
(![X]:((~quiet(X)&~patient(X))<=>(~funny(X)<~>old(X))))&
(![X]:((~rich(X)&curious(X))=>(~calm(X)|humble(X))))&
(![X]:((strong(X)&brave(X))=>(patient(X)&~tall(X))))&
((... | ~generous(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3013990180466072333328306
% SZS output start Proof for 3013990180466072333328306
3. ! [X0] : ((generous(X0) <~> tall(X0)) <=> ~tall(X0)) [input p2]
24. ~generous(paul) [input hypothesis]
36. ! [X0] : ((((~tall(X0) | ~generous(X0)) & (tall(X0) | generous(X0))) | tall(X0)) & (~tall(X0) | ((... | 0 |
Everyone who is either not tall or not humble is either quiet or wise.
If susan is either tall or not rich then someone is either not happy or creative.
If alice is both not funny and not kind then someone is not old and vice versa.
Everyone who is brave is not kind and vice versa.
Everyone who is both curious and not ... | Alice is not kind. | contradiction | (![X]:((~tall(X)<~>~humble(X))=>(quiet(X)<~>wise(X))))&
(((tall(susan)<~>~rich(susan)))=>(?[X]:((~happy(X)<~>creative(X)))))&
(((~funny(alice)&~kind(alice)))<=>(?[X]:(~old(X))))&
(![X]:(brave(X)<=>~kind(X)))&
(![X]:((curious(X)&~funny(X))=>(curious(X)|happy(X))))&
(![X]:((brave(X)|calm(X))<=>(~brave(X)&~quiet(X))))&
((... | ~kind(alice) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 338824001322385477110917
% SZS output start Proof for 338824001322385477110917
4. ! [X0] : (brave(X0) <=> ~kind(X0)) [input p3]
6. ! [X0] : ((calm(X0) | brave(X0)) <=> (~quiet(X0) & ~brave(X0))) [input p5]
24. ~kind(alice) [input hypothesis]
42. ! [X0] : ((brave(X0) | kind(X0)) & (~kind(X... | 0 |
Everyone who is not quiet is not tall.
If mary is both not rich and not calm then lucy is either not rich or not kind and vice versa.
If john is kind or patient then someone is brave or strong and vice versa.
Everyone who is both not strong and rich is kind.
Everyone who is not quiet or old is both not tall and quiet a... | Mary is rich. | neutral | (![X]:(~quiet(X)=>~tall(X)))&
(((~rich(mary)&~calm(mary)))<=>((~rich(lucy)<~>~kind(lucy))))&
(((kind(john)|patient(john)))<=>(?[X]:((brave(X)|strong(X)))))&
(![X]:((~strong(X)&rich(X))=>kind(X)))&
(![X]:((~quiet(X)|old(X))<=>(~tall(X)&quiet(X))))&
((?[X]:((strong(X)<~>~brave(X))))<=>(?[X]:((~old(X)&brave(X)))))&
(![X]:... | rich(mary) | [] | null | 0 |
Everyone who is wise or strong is either not kind or happy and vice versa. If susan is curious or tall then someone is creative or strong and vice versa. If john is both not calm and not strong then susan is not curious. Everyone who is both rich and creative is not wise. Everyone who is not generous or not kind is eit... | Susan is not creative. | entailment | (![X]:((wise(X)|strong(X))<=>(~kind(X)<~>happy(X))))&
(((curious(susan)|tall(susan)))<=>(?[X]:((creative(X)|strong(X)))))&
(((~calm(john)&~strong(john)))=>(~curious(susan)))&
(![X]:((rich(X)&creative(X))=>~wise(X)))&
(![X]:((~generous(X)|~kind(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((tall(X)|~strong(X))=>(~kind(X)|~stro... | ~creative(susan) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2000873798564787103459445
% SZS output start Proof for 2000873798564787103459445
1. ! [X0] : ((strong(X0) | wise(X0)) <=> (~kind(X0) <~> happy(X0))) [input p0]
2. (tall(susan) | curious(susan)) <=> ? [X0] : (strong(X0) | creative(X0)) [input p1]
4. ! [X0] : ((creative(X0) & rich(X0)) => ~... | 0 |
If someone is not wise or not tall then someone is not calm and vice versa. If someone is generous or not patient then alice is either not happy or humble and vice versa. If fred is either not old or not tall then fred is not creative and vice versa. Everyone who is funny is both not generous and not happy. Everyone wh... | Paul is generous. | neutral | ((?[X]:((~wise(X)|~tall(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((generous(X)|~patient(X))))<=>((~happy(alice)<~>humble(alice))))&
(((~old(fred)<~>~tall(fred)))<=>(~creative(fred)))&
(![X]:(funny(X)=>(~generous(X)&~happy(X))))&
(![X]:((~quiet(X)|~rich(X))<=>~old(X)))&
(![X]:(~quiet(X)=>strong(X)))&
(![X]:((generous(X)<~>~wi... | generous(paul) | [] | null | 0 |
If paul is either not kind or happy then mary is curious. Everyone who is either not creative or humble is either strong or not quiet and vice versa. If fred is not humble then alice is both not humble and kind and vice versa. If someone is either happy or not strong then someone is either not kind or old. Everyone who... | Lucy is not funny. | contradiction | (((~kind(paul)<~>happy(paul)))=>(curious(mary)))&
(![X]:((~creative(X)<~>humble(X))<=>(strong(X)<~>~quiet(X))))&
((~humble(fred))<=>((~humble(alice)&kind(alice))))&
((?[X]:((happy(X)<~>~strong(X))))=>(?[X]:((~kind(X)<~>old(X)))))&
(![X]:((~funny(X)|~rich(X))=>~creative(X)))&
(![X]:((patient(X)|curious(X))=>(patient(X)&... | ~funny(lucy) | [
"p4",
"p5",
"p7",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7116375993490385904265620
% SZS output start Proof for 7116375993490385904265620
5. ! [X0] : ((~rich(X0) | ~funny(X0)) => ~creative(X0)) [input p4]
6. ! [X0] : ((curious(X0) | patient(X0)) => (~kind(X0) & patient(X0))) [input p5]
8. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> (~creative(X0)... | 0 |
If fred is not strong or not quiet then someone is both not old and not funny and vice versa.
If someone is either strong or humble then alice is not strong.
Everyone who is either kind or creative is both tall and funny and vice versa.
Everyone who is either curious or not calm is not brave.
If fred is kind or not cre... | John is creative. | contradiction | (((~strong(fred)|~quiet(fred)))<=>(?[X]:((~old(X)&~funny(X)))))&
((?[X]:((strong(X)<~>humble(X))))=>(~strong(alice)))&
(![X]:((kind(X)<~>creative(X))<=>(tall(X)&funny(X))))&
(![X]:((curious(X)<~>~calm(X))=>~brave(X)))&
(((kind(fred)|~creative(fred)))=>(?[X]:((kind(X)|brave(X)))))&
(![X]:(old(X)<=>brave(X)))&
(![X]:((~o... | creative(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5456166101125509274338093
% SZS output start Proof for 5456166101125509274338093
11. ? [X0] : (~quiet(X0) | creative(X0)) => ? [X0] : (~strong(X0) & strong(X0)) [input p10]
21. creative(john) [input hypothesis]
22. ? [X0] : (~quiet(X0) | creative(X0)) => ? [X1] : (~strong(X1) & strong(X1)... | 0 |
Everyone who is both creative and strong is both not kind and wise and vice versa.
Everyone who is not calm or wise is not happy.
Everyone who is either patient or not patient is both rich and tall.
If someone is tall or funny then someone is either happy or not curious.
Everyone who is humble is either old or strong.
... | Alice is not calm. | entailment | (![X]:((creative(X)&strong(X))<=>(~kind(X)&wise(X))))&
(![X]:((~calm(X)|wise(X))=>~happy(X)))&
(![X]:((patient(X)<~>~patient(X))=>(rich(X)&tall(X))))&
((?[X]:((tall(X)|funny(X))))=>(?[X]:((happy(X)<~>~curious(X)))))&
(![X]:(humble(X)=>(old(X)<~>strong(X))))&
(![X]:((wise(X)&funny(X))<=>~curious(X)))&
((~tall(susan))<=>... | ~calm(alice) | [
"p7",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4266934883729260620222146
% SZS output start Proof for 4266934883729260620222146
8. ? [X0] : happy(X0) => (funny(alice) & ~calm(alice)) [input p7]
9. ! [X0] : ((quiet(X0) | calm(X0)) => happy(X0)) [input p8]
19. calm(mary) [input p18]
24. calm(alice) [input hypothesis]
31. (funny(alice) &... | 0 |
Everyone who is either tall or quiet is both not tall and not funny and vice versa.
If someone is both not wise and not strong then paul is not humble or old.
If susan is either humble or not brave then paul is kind or tall and vice versa.
Everyone who is either not brave or tall is not happy or not tall.
Everyone who ... | Fred is funny. | neutral | (![X]:((tall(X)<~>quiet(X))<=>(~tall(X)&~funny(X))))&
((?[X]:((~wise(X)&~strong(X))))=>((~humble(paul)|old(paul))))&
(((humble(susan)<~>~brave(susan)))<=>((kind(paul)|tall(paul))))&
(![X]:((~brave(X)<~>tall(X))=>(~happy(X)|~tall(X))))&
(![X]:((patient(X)|rich(X))=>(~brave(X)<~>~rich(X))))&
(![X]:((~rich(X)|generous(X))... | funny(fred) | [] | null | 0 |
Everyone who is either old or calm is creative or happy.
Everyone who is either old or not generous is not tall or not rich.
If paul is both brave and not generous then john is not curious and vice versa.
If someone is not funny then mary is not generous or not curious.
If someone is brave or not quiet then fred is bot... | Mary is not wise. | entailment | (![X]:((old(X)<~>calm(X))=>(creative(X)|happy(X))))&
(![X]:((old(X)<~>~generous(X))=>(~tall(X)|~rich(X))))&
(((brave(paul)&~generous(paul)))<=>(~curious(john)))&
((?[X]:(~funny(X)))=>((~generous(mary)|~curious(mary))))&
((?[X]:((brave(X)|~quiet(X))))<=>((~patient(fred)&~happy(fred))))&
(![X]:((rich(X)|~old(X))=>(~wise(... | ~wise(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8762433074349456257185997
% SZS output start Proof for 8762433074349456257185997
8. ! [X0] : ((~kind(X0) <~> kind(X0)) => (~wise(X0) & ~rich(X0))) [input p7]
21. wise(mary) [input hypothesis]
28. ! [X0] : ((~wise(X0) & ~rich(X0)) | (~kind(X0) <=> kind(X0))) [ennf transformation 8]
42. ! [... | 0 |
Everyone who is both patient and humble is not kind and vice versa. Everyone who is strong is not happy. If john is not strong then someone is calm and vice versa. If someone is either not quiet or quiet then john is both not generous and not creative and vice versa. Everyone who is either patient or not curious is not... | Mary is calm. | entailment | (![X]:((patient(X)&humble(X))<=>~kind(X)))&
(![X]:(strong(X)=>~happy(X)))&
((~strong(john))<=>(?[X]:(calm(X))))&
((?[X]:((~quiet(X)<~>quiet(X))))<=>((~generous(john)&~creative(john))))&
(![X]:((patient(X)<~>~curious(X))<=>(~wise(X)|generous(X))))&
(![X]:((~humble(X)|~curious(X))=>~rich(X)))&
(![X]:((~brave(X)&curious(X... | calm(mary) | [
"p5",
"p6",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4777433274776536261406903
% SZS output start Proof for 4777433274776536261406903
6. ! [X0] : ((~curious(X0) | ~humble(X0)) => ~rich(X0)) [input p5]
7. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (~calm(X0) <~> rich(X0))) [input p6]
9. ! [X0] : ((~quiet(X0) & brave(X0)) <=> ~calm(X0)) [input ... | 0 |
If paul is either not generous or creative then someone is strong or brave and vice versa. Everyone who is either not patient or not funny is not humble. Everyone who is either kind or strong is either curious or not creative. If someone is both calm and tall then lucy is old or generous. If someone is not wise or not ... | Lucy is not brave. | contradiction | (((~generous(paul)<~>creative(paul)))<=>(?[X]:((strong(X)|brave(X)))))&
(![X]:((~patient(X)<~>~funny(X))=>~humble(X)))&
(![X]:((kind(X)<~>strong(X))=>(curious(X)<~>~creative(X))))&
((?[X]:((calm(X)&tall(X))))=>((old(lucy)|generous(lucy))))&
((?[X]:((~wise(X)|~curious(X))))=>(?[X]:((~funny(X)|curious(X)))))&
(![X]:((~ta... | ~brave(lucy) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6453220327714919887487099
% SZS output start Proof for 6453220327714919887487099
8. ! [X0] : ((~brave(X0) | wise(X0)) => (~strong(X0) & funny(X0))) [input p7]
9. ! [X0] : (~brave(X0) => strong(X0)) [input p8]
25. ~brave(lucy) [input hypothesis]
36. ! [X0] : ((~strong(X0) & funny(X0)) | (b... | 0 |
If someone is both not old and not generous then someone is both tall and calm and vice versa.
Everyone who is both not generous and calm is both not curious and not generous and vice versa.
Everyone who is kind or not brave is not wise or not brave.
If someone is both humble and old then mary is both not funny and not... | Lucy is curious. | contradiction | ((?[X]:((~old(X)&~generous(X))))<=>(?[X]:((tall(X)&calm(X)))))&
(![X]:((~generous(X)&calm(X))<=>(~curious(X)&~generous(X))))&
(![X]:((kind(X)|~brave(X))=>(~wise(X)|~brave(X))))&
((?[X]:((humble(X)&old(X))))=>((~funny(mary)&~creative(mary))))&
(![X]:((~tall(X)|tall(X))<=>(~kind(X)<~>kind(X))))&
(![X]:((kind(X)<~>rich(X)... | curious(lucy) | [
"p2",
"p5",
"p6",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3900947811195995624619898
% SZS output start Proof for 3900947811195995624619898
3. ! [X0] : ((~brave(X0) | kind(X0)) => (~brave(X0) | ~wise(X0))) [input p2]
6. ! [X0] : ((kind(X0) <~> rich(X0)) <=> (kind(X0) | curious(X0))) [input p5]
7. (~curious(lucy) & brave(lucy)) <=> ? [X0] : ~wise(... | 0 |
Everyone who is not curious is not strong. If someone is not creative then someone is both not old and happy and vice versa. If paul is quiet then someone is both curious and not happy and vice versa. Everyone who is rich or old is not calm. Everyone who is not humble or humble is either happy or not creative. Everyone... | Mary is not strong. | neutral | (![X]:(~curious(X)=>~strong(X)))&
((?[X]:(~creative(X)))<=>(?[X]:((~old(X)&happy(X)))))&
((quiet(paul))<=>(?[X]:((curious(X)&~happy(X)))))&
(![X]:((rich(X)|old(X))=>~calm(X)))&
(![X]:((~humble(X)|humble(X))=>(happy(X)<~>~creative(X))))&
(![X]:((generous(X)&patient(X))<=>creative(X)))&
((?[X]:((kind(X)<~>~generous(X))))... | ~strong(mary) | [] | null | 0 |
If susan is either not creative or not strong then someone is not creative or not patient and vice versa. Everyone who is either not creative or not happy is not happy or generous. Everyone who is both old and funny is creative or quiet and vice versa. Everyone who is not curious is creative. Everyone who is curious is... | Alice is not curious. | contradiction | (((~creative(susan)<~>~strong(susan)))<=>(?[X]:((~creative(X)|~patient(X)))))&
(![X]:((~creative(X)<~>~happy(X))=>(~happy(X)|generous(X))))&
(![X]:((old(X)&funny(X))<=>(creative(X)|quiet(X))))&
(![X]:(~curious(X)=>creative(X)))&
(![X]:(curious(X)<=>(happy(X)<~>brave(X))))&
((?[X]:((funny(X)&~rich(X))))=>(~patient(lucy)... | ~curious(alice) | [
"p2",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 637823368492556854852274
% SZS output start Proof for 637823368492556854852274
3. ! [X0] : ((funny(X0) & old(X0)) <=> (quiet(X0) | creative(X0))) [input p2]
4. ! [X0] : (~curious(X0) => creative(X0)) [input p3]
19. ~old(alice) [input p18]
25. ~curious(alice) [input hypothesis]
30. ! [X0] ... | 0 |
Everyone who is strong is both not wise and rich. If lucy is not creative or not strong then susan is either not tall or patient. If someone is not rich then someone is either not humble or kind. If someone is not quiet or not curious then fred is kind or humble and vice versa. Everyone who is either quiet or not rich ... | Susan is strong. | contradiction | (![X]:(strong(X)=>(~wise(X)&rich(X))))&
(((~creative(lucy)|~strong(lucy)))=>((~tall(susan)<~>patient(susan))))&
((?[X]:(~rich(X)))=>(?[X]:((~humble(X)<~>kind(X)))))&
((?[X]:((~quiet(X)|~curious(X))))<=>((kind(fred)|humble(fred))))&
(![X]:((quiet(X)<~>~rich(X))<=>(~strong(X)|~quiet(X))))&
(((~funny(susan)&humble(susan))... | strong(susan) | [
"p0",
"p2",
"p4",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6213798006775297180675504
% SZS output start Proof for 6213798006775297180675504
1. ! [X0] : (strong(X0) => (rich(X0) & ~wise(X0))) [input p0]
3. ? [X0] : ~rich(X0) => ? [X0] : (~humble(X0) <~> kind(X0)) [input p2]
5. ! [X0] : ((quiet(X0) <~> ~rich(X0)) <=> (~quiet(X0) | ~strong(X0))) [in... | 0 |
If john is not quiet then alice is not patient and vice versa.
If someone is patient then fred is both not patient and generous and vice versa.
If fred is both happy and not quiet then mary is not curious or not old.
Everyone who is humble is strong or not humble and vice versa.
If someone is not tall then alice is bot... | Alice is not old. | contradiction | ((~quiet(john))<=>(~patient(alice)))&
((?[X]:(patient(X)))<=>((~patient(fred)&generous(fred))))&
(((happy(fred)&~quiet(fred)))=>((~curious(mary)|~old(mary))))&
(![X]:(humble(X)<=>(strong(X)|~humble(X))))&
((?[X]:(~tall(X)))=>((~kind(alice)&~generous(alice))))&
((?[X]:((kind(X)&patient(X))))<=>(?[X]:((~funny(X)|wise(X))... | ~old(alice) | [
"p3",
"p4",
"p9",
"p13",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1912267735256903374772528
% SZS output start Proof for 1912267735256903374772528
4. ! [X0] : (humble(X0) <=> (~humble(X0) | strong(X0))) [input p3]
5. ? [X0] : ~tall(X0) => (~generous(alice) & ~kind(alice)) [input p4]
10. ! [X0] : ((humble(X0) <~> generous(X0)) => old(X0)) [input p9]
14. ... | 0 |
If someone is both not funny and not curious then fred is brave or funny and vice versa.
Everyone who is not calm is not quiet and vice versa.
Everyone who is both tall and not brave is not generous.
Everyone who is not funny or not curious is both curious and not tall.
If lucy is both creative and not creative then ma... | Fred is curious. | entailment | ((?[X]:((~funny(X)&~curious(X))))<=>((brave(fred)|funny(fred))))&
(![X]:(~calm(X)<=>~quiet(X)))&
(![X]:((tall(X)&~brave(X))=>~generous(X)))&
(![X]:((~funny(X)|~curious(X))=>(curious(X)&~tall(X))))&
(((creative(lucy)&~creative(lucy)))<=>((generous(mary)&patient(mary))))&
((?[X]:((kind(X)|~patient(X))))<=>(?[X]:((quiet(X... | curious(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5711322059184559864257723
% SZS output start Proof for 5711322059184559864257723
4. ! [X0] : ((~curious(X0) | ~funny(X0)) => (~tall(X0) & curious(X0))) [input p3]
25. ~curious(fred) [input hypothesis]
33. ! [X0] : ((~tall(X0) & curious(X0)) | (curious(X0) & funny(X0))) [ennf transformatio... | 0 |
If john is brave or not creative then paul is not tall and vice versa.
Everyone who is not wise or strong is either not generous or patient and vice versa.
Everyone who is not old is curious or not humble and vice versa.
If mary is either quiet or old then someone is both brave and generous.
If alice is both not genero... | Lucy is not creative. | neutral | (((brave(john)|~creative(john)))<=>(~tall(paul)))&
(![X]:((~wise(X)|strong(X))<=>(~generous(X)<~>patient(X))))&
(![X]:(~old(X)<=>(curious(X)|~humble(X))))&
(((quiet(mary)<~>old(mary)))=>(?[X]:((brave(X)&generous(X)))))&
(((~generous(alice)&~rich(alice)))<=>(?[X]:((strong(X)<~>~brave(X)))))&
(![X]:((~happy(X)<~>brave(X)... | ~creative(lucy) | [] | null | 0 |
If mary is both not patient and old then susan is not tall and vice versa.
Everyone who is either not patient or creative is either not brave or not kind and vice versa.
If fred is both brave and creative then someone is both not quiet and not old and vice versa.
If someone is either not old or curious then fred is bot... | Alice is quiet. | entailment | (((~patient(mary)&old(mary)))<=>(~tall(susan)))&
(![X]:((~patient(X)<~>creative(X))<=>(~brave(X)<~>~kind(X))))&
(((brave(fred)&creative(fred)))<=>(?[X]:((~quiet(X)&~old(X)))))&
((?[X]:((~old(X)<~>curious(X))))=>((~patient(fred)&humble(fred))))&
(![X]:((happy(X)|~rich(X))=>(~generous(X)<~>~brave(X))))&
(((~old(alice)|hu... | quiet(alice) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8406129204070698134961759
% SZS output start Proof for 8406129204070698134961759
8. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (quiet(X0) & rich(X0))) [input p7]
10. ! [X0] : ((kind(X0) | funny(X0)) <=> (quiet(X0) & funny(X0))) [input p9]
23. ~quiet(alice) [input hypothesis]
47. ! [X0] : (... | 0 |
Everyone who is both not tall and not kind is not creative or not curious and vice versa.
Everyone who is both strong and old is not happy.
If someone is happy then mary is funny or not humble and vice versa.
If susan is either not calm or creative then someone is both not rich and rich and vice versa.
Everyone who is ... | Alice is creative. | entailment | (![X]:((~tall(X)&~kind(X))<=>(~creative(X)|~curious(X))))&
(![X]:((strong(X)&old(X))=>~happy(X)))&
((?[X]:(happy(X)))<=>((funny(mary)|~humble(mary))))&
(((~calm(susan)<~>creative(susan)))<=>(?[X]:((~rich(X)&rich(X)))))&
(![X]:((~creative(X)<~>~brave(X))=>~quiet(X)))&
((?[X]:(~generous(X)))<=>((~brave(fred)<~>~humble(fr... | creative(alice) | [
"p0",
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3896462837506092429939263
% SZS output start Proof for 3896462837506092429939263
1. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> (~curious(X0) | ~creative(X0))) [input p0]
8. ! [X0] : ((tall(X0) & ~humble(X0)) <=> (quiet(X0) | curious(X0))) [input p7]
14. ! [X0] : ((happy(X0) <~> ~tall(X0)) <=> ... | 0 |
If someone is not generous then lucy is not wise or not happy and vice versa. If someone is not tall then paul is not strong and vice versa. Everyone who is not generous or curious is not old and vice versa. If fred is humble or generous then fred is not happy and vice versa. Everyone who is not funny is tall or not ri... | Mary is tall. | entailment | ((?[X]:(~generous(X)))<=>((~wise(lucy)|~happy(lucy))))&
((?[X]:(~tall(X)))<=>(~strong(paul)))&
(![X]:((~generous(X)|curious(X))<=>~old(X)))&
(((humble(fred)|generous(fred)))<=>(~happy(fred)))&
(![X]:(~funny(X)<=>(tall(X)|~rich(X))))&
(![X]:((kind(X)&~old(X))=>tall(X)))&
(((tall(lucy)&~kind(lucy)))<=>(?[X]:((calm(X)<~>~... | tall(mary) | [
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 734459076620271245258800
% SZS output start Proof for 734459076620271245258800
11. ! [X0] : (~old(X0) <=> (funny(X0) | ~rich(X0))) [input p10]
12. ! [X0] : ((happy(X0) | funny(X0)) <=> old(X0)) [input p11]
16. ? [X0] : (tall(X0) <~> ~funny(X0)) <=> (funny(lucy) & humble(lucy)) [input p15]... | 0 |
Everyone who is either not calm or calm is not happy.
If someone is both not generous and brave then lucy is old and vice versa.
Everyone who is both not wise and not rich is both curious and quiet and vice versa.
Everyone who is both not tall and quiet is tall or creative and vice versa.
Everyone who is rich or not fu... | Mary is not calm. | neutral | (![X]:((~calm(X)<~>calm(X))=>~happy(X)))&
((?[X]:((~generous(X)&brave(X))))<=>(old(lucy)))&
(![X]:((~wise(X)&~rich(X))<=>(curious(X)&quiet(X))))&
(![X]:((~tall(X)&quiet(X))<=>(tall(X)|creative(X))))&
(![X]:((rich(X)|~funny(X))<=>(~wise(X)<~>~funny(X))))&
((?[X]:((wise(X)<~>funny(X))))=>(?[X]:((~kind(X)|funny(X)))))&
((... | ~calm(mary) | [] | null | 0 |
Everyone who is either happy or not curious is either curious or not creative.
If someone is both rich and funny then fred is both kind and generous and vice versa.
If lucy is kind or not creative then lucy is not rich and vice versa.
Everyone who is both not wise and rich is wise or not strong and vice versa.
Everyone... | Lucy is not patient. | contradiction | (![X]:((happy(X)<~>~curious(X))=>(curious(X)<~>~creative(X))))&
((?[X]:((rich(X)&funny(X))))<=>((kind(fred)&generous(fred))))&
(((kind(lucy)|~creative(lucy)))<=>(~rich(lucy)))&
(![X]:((~wise(X)&rich(X))<=>(wise(X)|~strong(X))))&
(![X]:(~curious(X)=>(~wise(X)|old(X))))&
((~generous(susan))<=>((tall(fred)<~>~patient(fred... | ~patient(lucy) | [
"p2",
"p3",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6715032492342112239123646
% SZS output start Proof for 6715032492342112239123646
3. (~creative(lucy) | kind(lucy)) <=> ~rich(lucy) [input p2]
4. ! [X0] : ((rich(X0) & ~wise(X0)) <=> (~strong(X0) | wise(X0))) [input p3]
7. ! [X0] : ((~patient(X0) | funny(X0)) => (~strong(X0) | rich(X0))) [... | 0 |
If susan is not humble then someone is both not rich and not generous and vice versa.
Everyone who is tall or patient is not old.
Everyone who is both not curious and tall is curious or funny.
Everyone who is either not creative or not tall is either not old or creative and vice versa.
Everyone who is calm is both funn... | Fred is not generous. | contradiction | ((~humble(susan))<=>(?[X]:((~rich(X)&~generous(X)))))&
(![X]:((tall(X)|patient(X))=>~old(X)))&
(![X]:((~curious(X)&tall(X))=>(curious(X)|funny(X))))&
(![X]:((~creative(X)<~>~tall(X))<=>(~old(X)<~>creative(X))))&
(![X]:(calm(X)=>(funny(X)&humble(X))))&
((?[X]:((~generous(X)|~brave(X))))<=>(?[X]:(~old(X))))&
((generous(p... | ~generous(fred) | [
"p0",
"p4",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 274716428347174203740326
% SZS output start Proof for 274716428347174203740326
1. ~humble(susan) <=> ? [X0] : (~generous(X0) & ~rich(X0)) [input p0]
5. ! [X0] : (calm(X0) => (humble(X0) & funny(X0))) [input p4]
10. ! [X0] : ((~curious(X0) & generous(X0)) <=> ~old(X0)) [input p9]
12. ! [X0... | 0 |
If someone is not patient then mary is not rich and vice versa.
If someone is both not patient and not humble then someone is both quiet and kind.
If someone is both not creative and not patient then someone is both not calm and not strong.
If fred is either happy or not old then someone is old.
Everyone who is both no... | John is not calm. | entailment | ((?[X]:(~patient(X)))<=>(~rich(mary)))&
((?[X]:((~patient(X)&~humble(X))))=>(?[X]:((quiet(X)&kind(X)))))&
((?[X]:((~creative(X)&~patient(X))))=>(?[X]:((~calm(X)&~strong(X)))))&
(((happy(fred)<~>~old(fred)))=>(?[X]:(old(X))))&
(![X]:((~wise(X)&~creative(X))=>(~strong(X)|patient(X))))&
(![X]:(wise(X)<=>happy(X)))&
(![X]:... | ~calm(john) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1233991065421338810662795
% SZS output start Proof for 1233991065421338810662795
8. ! [X0] : (~generous(X0) <=> ~rich(X0)) [input p7]
11. ! [X0] : ((calm(X0) & ~generous(X0)) <=> rich(X0)) [input p10]
25. calm(john) [input hypothesis]
51. ! [X0] : ((~generous(X0) | rich(X0)) & (~rich(X0) ... | 0 |
Everyone who is not kind is kind or not creative. Everyone who is either not patient or not creative is either happy or not quiet. If lucy is either not creative or quiet then someone is both strong and not quiet. Everyone who is not patient or not creative is both not brave and not wise and vice versa. Everyone who is... | Lucy is not calm. | neutral | (![X]:(~kind(X)=>(kind(X)|~creative(X))))&
(![X]:((~patient(X)<~>~creative(X))=>(happy(X)<~>~quiet(X))))&
(((~creative(lucy)<~>quiet(lucy)))=>(?[X]:((strong(X)&~quiet(X)))))&
(![X]:((~patient(X)|~creative(X))<=>(~brave(X)&~wise(X))))&
(![X]:((funny(X)&wise(X))=>(strong(X)&~rich(X))))&
((~happy(john))=>(?[X]:((wise(X)|~... | ~calm(lucy) | [] | null | 0 |
If someone is either not strong or brave then someone is both not wise and humble.
Everyone who is both not funny and strong is wise or quiet and vice versa.
If paul is brave or not tall then someone is brave or happy.
Everyone who is not curious is patient and vice versa.
Everyone who is not generous is curious and vi... | Lucy is quiet. | entailment | ((?[X]:((~strong(X)<~>brave(X))))=>(?[X]:((~wise(X)&humble(X)))))&
(![X]:((~funny(X)&strong(X))<=>(wise(X)|quiet(X))))&
(((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient(X)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative... | quiet(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4192414132314952960882380
% SZS output start Proof for 4192414132314952960882380
2. ! [X0] : ((strong(X0) & ~funny(X0)) <=> (quiet(X0) | wise(X0))) [input p1]
4. ! [X0] : (~curious(X0) <=> patient(X0)) [input p3]
6. ! [X0] : ((old(X0) | ~strong(X0)) => (~tall(X0) & funny(X0))) [input p5]
... | 0 |
If alice is not old then someone is both old and strong.
If lucy is either tall or wise then alice is either not kind or not creative and vice versa.
If someone is both not kind and strong then lucy is humble.
If someone is either not tall or not calm then someone is brave.
Everyone who is calm is curious or brave and ... | John is not happy. | contradiction | ((~old(alice))=>(?[X]:((old(X)&strong(X)))))&
(((tall(lucy)<~>wise(lucy)))<=>((~kind(alice)<~>~creative(alice))))&
((?[X]:((~kind(X)&strong(X))))=>(humble(lucy)))&
((?[X]:((~tall(X)<~>~calm(X))))=>(?[X]:(brave(X))))&
(![X]:(calm(X)<=>(curious(X)|brave(X))))&
(![X]:(tall(X)=>rich(X)))&
(((kind(paul)<~>~creative(paul)))<... | ~happy(john) | [
"p5",
"p9",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6769310228182119212943304
% SZS output start Proof for 6769310228182119212943304
6. ! [X0] : (tall(X0) => rich(X0)) [input p5]
10. ! [X0] : (creative(X0) <=> (strong(X0) & ~rich(X0))) [input p9]
11. ! [X0] : ((kind(X0) | ~tall(X0)) => (~old(X0) & happy(X0))) [input p10]
21. ~kind(john) <~... | 0 |
Everyone who is not patient is either not calm or kind and vice versa.
Everyone who is either not generous or wise is both creative and quiet.
If someone is kind then paul is either generous or not old and vice versa.
Everyone who is either not wise or curious is calm.
If lucy is patient or strong then someone is not c... | Fred is patient. | contradiction | (![X]:(~patient(X)<=>(~calm(X)<~>kind(X))))&
(![X]:((~generous(X)<~>wise(X))=>(creative(X)&quiet(X))))&
((?[X]:(kind(X)))<=>((generous(paul)<~>~old(paul))))&
(![X]:((~wise(X)<~>curious(X))=>calm(X)))&
(((patient(lucy)|strong(lucy)))=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:((~tall(X)&calm(X))=>(~brave(X)<~>creative(X)... | patient(fred) | [
"p0",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4309491946890906259721150
% SZS output start Proof for 4309491946890906259721150
1. ! [X0] : (~patient(X0) <=> (~calm(X0) <~> kind(X0))) [input p0]
20. kind(fred) & old(fred) [input p19]
21. ~wise(fred) & calm(fred) [input p20]
24. patient(fred) [input hypothesis]
42. ! [X0] : ((~patient(... | 0 |
Everyone who is not rich or kind is either patient or not kind and vice versa. If someone is either rich or happy then someone is either brave or not patient and vice versa. If someone is not happy then someone is both generous and not brave and vice versa. If someone is either brave or curious then someone is not tall... | Susan is humble. | neutral | (![X]:((~rich(X)|kind(X))<=>(patient(X)<~>~kind(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((brave(X)<~>~patient(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((brave(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
(((~brave(mary)|wise(mary)))=>((kind(paul)&~wise(paul))))&
(((funny(lucy)|humble(luc... | humble(susan) | [] | null | 0 |
If someone is generous then paul is not generous or not kind and vice versa. Everyone who is wise is both not kind and kind and vice versa. If fred is calm then john is wise or generous. Everyone who is either not generous or patient is both not creative and not patient. Everyone who is brave is both not wise and not o... | Mary is not brave. | contradiction | ((?[X]:(generous(X)))<=>((~generous(paul)|~kind(paul))))&
(![X]:(wise(X)<=>(~kind(X)&kind(X))))&
((calm(fred))=>((wise(john)|generous(john))))&
(![X]:((~generous(X)<~>patient(X))=>(~creative(X)&~patient(X))))&
(![X]:(brave(X)<=>(~wise(X)&~old(X))))&
((?[X]:((funny(X)&~patient(X))))<=>((curious(mary)|~quiet(mary))))&
((... | ~brave(mary) | [
"p1",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8409566138652791027300742
% SZS output start Proof for 8409566138652791027300742
2. ! [X0] : (wise(X0) <=> (kind(X0) & ~kind(X0))) [input p1]
5. ! [X0] : (brave(X0) <=> (~old(X0) & ~wise(X0))) [input p4]
14. ! [X0] : (old(X0) => ~old(X0)) [input p13]
22. ~brave(mary) [input hypothesis]
38... | 0 |
If someone is either not calm or not funny then someone is strong or not brave.
Everyone who is not brave is both not kind and not calm.
If john is both humble and not kind then alice is creative.
If lucy is curious then lucy is either not generous or not patient and vice versa.
Everyone who is not brave is quiet or no... | Paul is not calm. | entailment | ((?[X]:((~calm(X)<~>~funny(X))))=>(?[X]:((strong(X)|~brave(X)))))&
(![X]:(~brave(X)=>(~kind(X)&~calm(X))))&
(((humble(john)&~kind(john)))=>(creative(alice)))&
((curious(lucy))<=>((~generous(lucy)<~>~patient(lucy))))&
(![X]:(~brave(X)=>(quiet(X)|~old(X))))&
((?[X]:((~calm(X)&~wise(X))))=>(?[X]:((happy(X)<~>brave(X)))))&... | ~calm(paul) | [
"p1",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 575869810939870526436086
% SZS output start Proof for 575869810939870526436086
2. ! [X0] : (~brave(X0) => (~calm(X0) & ~kind(X0))) [input p1]
9. ! [X0] : ((~creative(X0) <~> ~brave(X0)) <=> (~strong(X0) <~> strong(X0))) [input p8]
10. ! [X0] : ((calm(X0) | patient(X0)) <=> (~tall(X0) & cr... | 0 |
Everyone who is either creative or not wise is creative.
Everyone who is not kind or patient is not quiet or brave.
Everyone who is either not patient or not wise is both brave and quiet.
Everyone who is not quiet is old.
If lucy is either not wise or quiet then alice is rich and vice versa.
If john is either not tall ... | Fred is wise. | contradiction | (![X]:((creative(X)<~>~wise(X))=>creative(X)))&
(![X]:((~kind(X)|patient(X))=>(~quiet(X)|brave(X))))&
(![X]:((~patient(X)<~>~wise(X))=>(brave(X)&quiet(X))))&
(![X]:(~quiet(X)=>old(X)))&
(((~wise(lucy)<~>quiet(lucy)))<=>(rich(alice)))&
(((~tall(john)<~>funny(john)))=>(?[X]:((~strong(X)|strong(X)))))&
((?[X]:((brave(X)&h... | wise(fred) | [
"p1",
"p2",
"p3",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5251875266473799121405857
% SZS output start Proof for 5251875266473799121405857
2. ! [X0] : ((patient(X0) | ~kind(X0)) => (brave(X0) | ~quiet(X0))) [input p1]
3. ! [X0] : ((~patient(X0) <~> ~wise(X0)) => (quiet(X0) & brave(X0))) [input p2]
4. ! [X0] : (~quiet(X0) => old(X0)) [input p3]
1... | 0 |
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