premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either generous or not rich is patient. If someone is either strong or brave then fred is not funny. Everyone who is creative or not wise is curious. Everyone who is not creative or not happy is both curious and wise. Everyone who is rich or not creative is both not kind and not curious and vice versa. ... | Lucy is patient. | entailment | (![X]:((generous(X)<~>~rich(X))=>patient(X)))&
((?[X]:((strong(X)<~>brave(X))))=>(~funny(fred)))&
(![X]:((creative(X)|~wise(X))=>curious(X)))&
(![X]:((~creative(X)|~happy(X))=>(curious(X)&wise(X))))&
(![X]:((rich(X)|~creative(X))<=>(~kind(X)&~curious(X))))&
((?[X]:(~kind(X)))<=>(calm(paul)))&
(![X]:((~humble(X)<~>quiet... | patient(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7651076436320575957743959
% SZS output start Proof for 7651076436320575957743959
1. ! [X0] : ((generous(X0) <~> ~rich(X0)) => patient(X0)) [input p0]
3. ! [X0] : ((~wise(X0) | creative(X0)) => curious(X0)) [input p2]
4. ! [X0] : ((~happy(X0) | ~creative(X0)) => (wise(X0) & curious(X0))) [... | 0 |
If someone is not humble or not generous then susan is either humble or not generous.
Everyone who is not strong or rich is funny or not calm and vice versa.
Everyone who is either generous or not funny is not funny and vice versa.
Everyone who is not strong or old is not calm or tall.
Everyone who is both not wise and... | Susan is not old. | contradiction | ((?[X]:((~humble(X)|~generous(X))))=>((humble(susan)<~>~generous(susan))))&
(![X]:((~strong(X)|rich(X))<=>(funny(X)|~calm(X))))&
(![X]:((generous(X)<~>~funny(X))<=>~funny(X)))&
(![X]:((~strong(X)|old(X))=>(~calm(X)|tall(X))))&
(![X]:((~wise(X)&creative(X))=>(calm(X)<~>~strong(X))))&
(![X]:((~tall(X)&~brave(X))=>(genero... | ~old(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4946391112643125829947222
% SZS output start Proof for 4946391112643125829947222
15. ! [X0] : (~kind(X0) <=> (kind(X0) | old(X0))) [input p14]
21. ~old(susan) [input hypothesis]
56. ! [X0] : ((~kind(X0) | (~kind(X0) & ~old(X0))) & ((kind(X0) | old(X0)) | kind(X0))) [nnf transformation 15]... | 0 |
If susan is either funny or happy then mary is funny and vice versa. Everyone who is both not rich and strong is both brave and kind and vice versa. If lucy is patient then fred is not creative or not quiet and vice versa. Everyone who is either not calm or creative is both not brave and strong and vice versa. Everyone... | John is not wise. | contradiction | (((funny(susan)<~>happy(susan)))<=>(funny(mary)))&
(![X]:((~rich(X)&strong(X))<=>(brave(X)&kind(X))))&
((patient(lucy))<=>((~creative(fred)|~quiet(fred))))&
(![X]:((~calm(X)<~>creative(X))<=>(~brave(X)&strong(X))))&
(![X]:((~patient(X)&~humble(X))<=>(~brave(X)<~>~wise(X))))&
(((brave(john)&humble(john)))=>((~rich(susan... | ~wise(john) | [
"p1",
"p4",
"p8",
"p11",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4462836952695316474623196
% SZS output start Proof for 4462836952695316474623196
2. ! [X0] : ((strong(X0) & ~rich(X0)) <=> (kind(X0) & brave(X0))) [input p1]
5. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> (~brave(X0) <~> ~wise(X0))) [input p4]
9. ! [X0] : ((~humble(X0) <~> wise(X0)) => ~ri... | 0 |
If someone is generous or not generous then john is either quiet or old.
If someone is either brave or tall then paul is either not rich or not patient and vice versa.
If someone is funny then someone is either not happy or rich and vice versa.
Everyone who is not kind is creative or not patient and vice versa.
Everyon... | Mary is not humble. | entailment | ((?[X]:((generous(X)|~generous(X))))=>((quiet(john)<~>old(john))))&
((?[X]:((brave(X)<~>tall(X))))<=>((~rich(paul)<~>~patient(paul))))&
((?[X]:(funny(X)))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:(~kind(X)<=>(creative(X)|~patient(X))))&
(![X]:((brave(X)&curious(X))<=>(~quiet(X)&generous(X))))&
(((happy(paul)&funny(paul... | ~humble(mary) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 891767506861462309337345
% SZS output start Proof for 891767506861462309337345
4. ! [X0] : (~kind(X0) <=> (~patient(X0) | creative(X0))) [input p3]
5. ! [X0] : ((curious(X0) & brave(X0)) <=> (generous(X0) & ~quiet(X0))) [input p4]
7. ! [X0] : ((~old(X0) <~> generous(X0)) <=> (generous(X0)... | 0 |
Everyone who is not curious or not kind is not old and vice versa.
If someone is either not tall or not brave then lucy is kind.
If fred is either strong or tall then someone is not calm and vice versa.
Everyone who is either not brave or not wise is not strong or not curious and vice versa.
If someone is both funny an... | Mary is kind. | contradiction | (![X]:((~curious(X)|~kind(X))<=>~old(X)))&
((?[X]:((~tall(X)<~>~brave(X))))=>(kind(lucy)))&
(((strong(fred)<~>tall(fred)))<=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>(~strong(X)|~curious(X))))&
((?[X]:((funny(X)&~creative(X))))<=>(?[X]:((~creative(X)&~kind(X)))))&
(![X]:((~patient(X)&~quiet(X))<=>(old(X)|~ki... | kind(mary) | [
"p0",
"p3",
"p5",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7807008077644993483164772
% SZS output start Proof for 7807008077644993483164772
1. ! [X0] : ((~kind(X0) | ~curious(X0)) <=> ~old(X0)) [input p0]
4. ! [X0] : ((~brave(X0) <~> ~wise(X0)) <=> (~curious(X0) | ~strong(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) & ~patient(X0)) <=> (~kind(X0) | ... | 0 |
Everyone who is not old or not funny is not wise or creative.
Everyone who is not brave or not funny is not curious or not patient.
Everyone who is not brave or kind is not brave or brave and vice versa.
Everyone who is funny or not kind is either not strong or curious.
If someone is not rich then lucy is quiet and vic... | Mary is not tall. | entailment | (![X]:((~old(X)|~funny(X))=>(~wise(X)|creative(X))))&
(![X]:((~brave(X)|~funny(X))=>(~curious(X)|~patient(X))))&
(![X]:((~brave(X)|kind(X))<=>(~brave(X)|brave(X))))&
(![X]:((funny(X)|~kind(X))=>(~strong(X)<~>curious(X))))&
((?[X]:(~rich(X)))<=>(quiet(lucy)))&
(![X]:(~happy(X)=>(strong(X)&tall(X))))&
(((~happy(mary)&~ki... | ~tall(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4846933037158227499183876
% SZS output start Proof for 4846933037158227499183876
8. ! [X0] : ((~tall(X0) & ~curious(X0)) <=> tall(X0)) [input p7]
23. tall(mary) [input hypothesis]
42. ! [X0] : (((~tall(X0) & ~curious(X0)) | ~tall(X0)) & (tall(X0) | (tall(X0) | curious(X0)))) [nnf transfor... | 0 |
Everyone who is both curious and not generous is not tall and vice versa. If someone is either strong or not calm then mary is not humble and vice versa. Everyone who is curious is calm or tall. If someone is either not quiet or not humble then mary is not creative. If lucy is either not patient or not happy then alice... | Mary is old. | entailment | (![X]:((curious(X)&~generous(X))<=>~tall(X)))&
((?[X]:((strong(X)<~>~calm(X))))<=>(~humble(mary)))&
(![X]:(curious(X)=>(calm(X)|tall(X))))&
((?[X]:((~quiet(X)<~>~humble(X))))=>(~creative(mary)))&
(((~patient(lucy)<~>~happy(lucy)))<=>((~tall(alice)&wise(alice))))&
(![X]:((~patient(X)|strong(X))<=>(~old(X)<~>wise(X))))&
... | old(mary) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p9",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 691236884103102486421312
% SZS output start Proof for 691236884103102486421312
1. ! [X0] : ((~generous(X0) & curious(X0)) <=> ~tall(X0)) [input p0]
2. ? [X0] : (strong(X0) <~> ~calm(X0)) <=> ~humble(mary) [input p1]
3. ! [X0] : (curious(X0) => (tall(X0) | calm(X0))) [input p2]
4. ? [X0] :... | 0 |
Everyone who is either curious or kind is both not tall and not brave and vice versa.
If someone is either patient or happy then lucy is not happy and vice versa.
Everyone who is patient is either creative or funny.
Everyone who is either calm or not calm is either wise or not brave and vice versa.
If someone is both h... | John is not happy. | neutral | (![X]:((curious(X)<~>kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:((patient(X)<~>happy(X))))<=>(~happy(lucy)))&
(![X]:(patient(X)=>(creative(X)<~>funny(X))))&
(![X]:((calm(X)<~>~calm(X))<=>(wise(X)<~>~brave(X))))&
((?[X]:((happy(X)&patient(X))))=>(old(paul)))&
((tall(susan))<=>((wise(john)|~rich(john))))&
(((happy(alice)|... | ~happy(john) | [] | null | 0 |
If someone is either not rich or happy then someone is not humble or not patient and vice versa. Everyone who is both curious and happy is funny or tall and vice versa. If someone is quiet or not kind then paul is both strong and wise and vice versa. If someone is not happy or rich then lucy is wise or kind. If alice i... | Lucy is wise. | neutral | ((?[X]:((~rich(X)<~>happy(X))))<=>(?[X]:((~humble(X)|~patient(X)))))&
(![X]:((curious(X)&happy(X))<=>(funny(X)|tall(X))))&
((?[X]:((quiet(X)|~kind(X))))<=>((strong(paul)&wise(paul))))&
((?[X]:((~happy(X)|rich(X))))=>((wise(lucy)|kind(lucy))))&
(((~kind(alice)|quiet(alice)))=>(?[X]:((kind(X)|curious(X)))))&
(![X]:(tall(... | wise(lucy) | [] | null | 0 |
If someone is either old or wise then lucy is old.
If fred is both not creative and not happy then susan is either not patient or curious and vice versa.
Everyone who is both not quiet and curious is either wise or kind and vice versa.
If someone is calm then alice is both creative and tall and vice versa.
Everyone who... | Alice is patient. | entailment | ((?[X]:((old(X)<~>wise(X))))=>(old(lucy)))&
(((~creative(fred)&~happy(fred)))<=>((~patient(susan)<~>curious(susan))))&
(![X]:((~quiet(X)&curious(X))<=>(wise(X)<~>kind(X))))&
((?[X]:(calm(X)))<=>((creative(alice)&tall(alice))))&
(![X]:((~patient(X)&funny(X))=>(brave(X)<~>funny(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~c... | patient(alice) | [
"p7",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5511454041503015093341251
% SZS output start Proof for 5511454041503015093341251
8. ! [X0] : ((~patient(X0) | quiet(X0)) => creative(X0)) [input p7]
12. ! [X0] : ((~rich(X0) | strong(X0)) => (~patient(X0) & creative(X0))) [input p11]
13. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (~old(X0) <~... | 0 |
If alice is either tall or not happy then paul is either not humble or kind and vice versa. If someone is both humble and old then fred is not rich or not creative. If someone is not creative then someone is either strong or not kind. If paul is quiet or not humble then fred is not happy and vice versa. If susan is ric... | Mary is strong. | neutral | (((tall(alice)<~>~happy(alice)))<=>((~humble(paul)<~>kind(paul))))&
((?[X]:((humble(X)&old(X))))=>((~rich(fred)|~creative(fred))))&
((?[X]:(~creative(X)))=>(?[X]:((strong(X)<~>~kind(X)))))&
(((quiet(paul)|~humble(paul)))<=>(~happy(fred)))&
(((rich(susan)|~brave(susan)))=>(rich(mary)))&
(![X]:(creative(X)<=>(~brave(X)<~... | strong(mary) | [] | null | 0 |
If susan is either not curious or funny then someone is either not rich or old. Everyone who is either kind or quiet is not rich or tall. Everyone who is not quiet is not kind. If john is quiet then someone is both funny and wise and vice versa. If alice is curious or not happy then someone is either calm or strong. Ev... | Alice is not creative. | neutral | (((~curious(susan)<~>funny(susan)))=>(?[X]:((~rich(X)<~>old(X)))))&
(![X]:((kind(X)<~>quiet(X))=>(~rich(X)|tall(X))))&
(![X]:(~quiet(X)=>~kind(X)))&
((quiet(john))<=>(?[X]:((funny(X)&wise(X)))))&
(((curious(alice)|~happy(alice)))=>(?[X]:((calm(X)<~>strong(X)))))&
(![X]:((quiet(X)|~strong(X))=>(~rich(X)<~>~calm(X))))&
(... | ~creative(alice) | [] | null | 0 |
If mary is patient or calm then mary is both generous and kind.
If someone is not curious or tall then fred is both not happy and not generous and vice versa.
Everyone who is both not patient and not happy is kind or patient and vice versa.
If someone is not quiet or not kind then fred is either not rich or funny and v... | Lucy is humble. | entailment | (((patient(mary)|calm(mary)))=>((generous(mary)&kind(mary))))&
((?[X]:((~curious(X)|tall(X))))<=>((~happy(fred)&~generous(fred))))&
(![X]:((~patient(X)&~happy(X))<=>(kind(X)|patient(X))))&
((?[X]:((~quiet(X)|~kind(X))))<=>((~rich(fred)<~>funny(fred))))&
(((~kind(lucy)<~>~funny(lucy)))=>(?[X]:((~wise(X)|funny(X)))))&
(!... | humble(lucy) | [
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7866081726089785132895593
% SZS output start Proof for 7866081726089785132895593
10. ! [X0] : ((~kind(X0) | wise(X0)) => (humble(X0) & ~quiet(X0))) [input p9]
12. ! [X0] : (~happy(X0) <=> wise(X0)) [input p11]
20. ~happy(lucy) [input p19]
23. ~humble(lucy) [input hypothesis]
31. ! [X0] : ... | 0 |
Everyone who is not wise is both wise and quiet.
Everyone who is not strong or not quiet is not quiet.
Everyone who is both brave and not patient is either tall or not happy and vice versa.
Everyone who is both not tall and not rich is brave or not brave and vice versa.
Everyone who is either not kind or quiet is not c... | Paul is not happy. | contradiction | (![X]:(~wise(X)=>(wise(X)&quiet(X))))&
(![X]:((~strong(X)|~quiet(X))=>~quiet(X)))&
(![X]:((brave(X)&~patient(X))<=>(tall(X)<~>~happy(X))))&
(![X]:((~tall(X)&~rich(X))<=>(brave(X)|~brave(X))))&
(![X]:((~kind(X)<~>quiet(X))=>~calm(X)))&
(((quiet(john)&old(john)))<=>(?[X]:((~happy(X)<~>patient(X)))))&
(![X]:((~wise(X)<~>o... | ~happy(paul) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 914721121114879527950832
% SZS output start Proof for 914721121114879527950832
1. ! [X0] : (~wise(X0) => (quiet(X0) & wise(X0))) [input p0]
3. ! [X0] : ((~patient(X0) & brave(X0)) <=> (tall(X0) <~> ~happy(X0))) [input p2]
4. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> (~brave(X0) | brave(X0))) ... | 0 |
Everyone who is both not happy and generous is either wise or not funny. Everyone who is funny or quiet is not creative. If susan is not old then someone is brave or not brave and vice versa. If someone is patient or not old then lucy is not generous and vice versa. If someone is either wise or humble then mary is both... | Susan is kind. | neutral | (![X]:((~happy(X)&generous(X))=>(wise(X)<~>~funny(X))))&
(![X]:((funny(X)|quiet(X))=>~creative(X)))&
((~old(susan))<=>(?[X]:((brave(X)|~brave(X)))))&
((?[X]:((patient(X)|~old(X))))<=>(~generous(lucy)))&
((?[X]:((wise(X)<~>humble(X))))<=>((~generous(mary)&~old(mary))))&
(![X]:((~generous(X)&generous(X))<=>(patient(X)&~c... | kind(susan) | [] | null | 0 |
Everyone who is not rich is not brave or strong.
If someone is not brave then lucy is either not kind or not strong.
Everyone who is not humble is both not curious and not old.
If someone is both tall and not brave then someone is both wise and rich and vice versa.
Everyone who is not quiet or not wise is both curious ... | Mary is generous. | neutral | (![X]:(~rich(X)=>(~brave(X)|strong(X))))&
((?[X]:(~brave(X)))=>((~kind(lucy)<~>~strong(lucy))))&
(![X]:(~humble(X)=>(~curious(X)&~old(X))))&
((?[X]:((tall(X)&~brave(X))))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((~quiet(X)|~wise(X))=>(curious(X)&~old(X))))&
(((~generous(mary)|~strong(mary)))<=>(?[X]:((~old(X)&~funny(X))))... | generous(mary) | [] | null | 0 |
If mary is both not brave and kind then susan is rich or quiet.
Everyone who is either rich or not funny is either rich or creative.
Everyone who is strong is either not patient or calm and vice versa.
Everyone who is both kind and generous is both generous and not curious.
Everyone who is both quiet and funny is both ... | Mary is wise. | neutral | (((~brave(mary)&kind(mary)))=>((rich(susan)|quiet(susan))))&
(![X]:((rich(X)<~>~funny(X))=>(rich(X)<~>creative(X))))&
(![X]:(strong(X)<=>(~patient(X)<~>calm(X))))&
(![X]:((kind(X)&generous(X))=>(generous(X)&~curious(X))))&
(![X]:((quiet(X)&funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((~curious(X)<~>rich(X))<=>curious(... | wise(mary) | [] | null | 0 |
Everyone who is humble is both wise and not quiet and vice versa. Everyone who is both not patient and funny is not tall and vice versa. Everyone who is both not strong and not tall is not curious. If john is either humble or rich then john is either rich or not tall. If someone is not brave then paul is not wise and v... | Alice is not old. | neutral | (![X]:(humble(X)<=>(wise(X)&~quiet(X))))&
(![X]:((~patient(X)&funny(X))<=>~tall(X)))&
(![X]:((~strong(X)&~tall(X))=>~curious(X)))&
(((humble(john)<~>rich(john)))=>((rich(john)<~>~tall(john))))&
((?[X]:(~brave(X)))<=>(~wise(paul)))&
((quiet(paul))=>(?[X]:(patient(X))))&
((~generous(alice))<=>((generous(paul)|~happy(paul... | ~old(alice) | [] | null | 0 |
Everyone who is both generous and not curious is not patient or quiet and vice versa. If fred is quiet then someone is either not patient or generous and vice versa. Everyone who is not calm or calm is curious or not generous. Everyone who is both kind and not rich is both rich and calm. Everyone who is either tall or ... | Fred is not kind. | neutral | (![X]:((generous(X)&~curious(X))<=>(~patient(X)|quiet(X))))&
((quiet(fred))<=>(?[X]:((~patient(X)<~>generous(X)))))&
(![X]:((~calm(X)|calm(X))=>(curious(X)|~generous(X))))&
(![X]:((kind(X)&~rich(X))=>(rich(X)&calm(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(brave(X)|quiet(X))))&
(![X]:((~old(X)&~curious(X))<=>(wise(X)&patie... | ~kind(fred) | [] | null | 0 |
Everyone who is either not calm or humble is brave and vice versa. If someone is either calm or kind then someone is not calm and vice versa. Everyone who is both creative and humble is either wise or not creative. Everyone who is both happy and brave is not tall or quiet and vice versa. Everyone who is brave is calm o... | Susan is tall. | entailment | (![X]:((~calm(X)<~>humble(X))<=>brave(X)))&
((?[X]:((calm(X)<~>kind(X))))<=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&humble(X))=>(wise(X)<~>~creative(X))))&
(![X]:((happy(X)&brave(X))<=>(~tall(X)|quiet(X))))&
(![X]:(brave(X)=>(calm(X)|humble(X))))&
(![X]:((funny(X)<~>~calm(X))=>(humble(X)|curious(X))))&
(![X]:((~calm(X)... | tall(susan) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3208228302691304975778975
% SZS output start Proof for 3208228302691304975778975
1. ! [X0] : ((~calm(X0) <~> humble(X0)) <=> brave(X0)) [input p0]
3. ! [X0] : ((humble(X0) & creative(X0)) => (wise(X0) <~> ~creative(X0))) [input p2]
4. ! [X0] : ((brave(X0) & happy(X0)) <=> (quiet(X0) | ~ta... | 0 |
Everyone who is curious or not happy is not strong or quiet. Everyone who is either generous or old is funny or old. Everyone who is either old or brave is either not calm or not creative and vice versa. Everyone who is not humble is not calm and vice versa. If someone is either calm or not old then someone is creative... | Susan is not curious. | neutral | (![X]:((curious(X)|~happy(X))=>(~strong(X)|quiet(X))))&
(![X]:((generous(X)<~>old(X))=>(funny(X)|old(X))))&
(![X]:((old(X)<~>brave(X))<=>(~calm(X)<~>~creative(X))))&
(![X]:(~humble(X)<=>~calm(X)))&
((?[X]:((calm(X)<~>~old(X))))<=>(?[X]:(creative(X))))&
(((generous(susan)<~>happy(susan)))=>(?[X]:(wise(X))))&
(![X]:(calm... | ~curious(susan) | [] | null | 0 |
Everyone who is not old is either old or not kind and vice versa.
Everyone who is both happy and not generous is either generous or not happy and vice versa.
If someone is either not funny or not creative then lucy is either curious or kind and vice versa.
If someone is both creative and calm then susan is either quiet... | Susan is creative. | contradiction | (![X]:(~old(X)<=>(old(X)<~>~kind(X))))&
(![X]:((happy(X)&~generous(X))<=>(generous(X)<~>~happy(X))))&
((?[X]:((~funny(X)<~>~creative(X))))<=>((curious(lucy)<~>kind(lucy))))&
((?[X]:((creative(X)&calm(X))))=>((quiet(susan)<~>~wise(susan))))&
(![X]:(old(X)=>(~quiet(X)<~>kind(X))))&
(((~curious(alice)<~>~brave(alice)))<=>... | creative(susan) | [
"p1",
"p3",
"p8",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7922062382634760846541816
% SZS output start Proof for 7922062382634760846541816
2. ! [X0] : ((~generous(X0) & happy(X0)) <=> (generous(X0) <~> ~happy(X0))) [input p1]
4. ? [X0] : (calm(X0) & creative(X0)) => (quiet(susan) <~> ~wise(susan)) [input p3]
9. ! [X0] : ((~happy(X0) | ~patient(X... | 0 |
If someone is not humble or not funny then susan is both not generous and not funny and vice versa.
Everyone who is humble is either wise or humble and vice versa.
If someone is wise or not calm then fred is either not tall or not brave.
Everyone who is not curious or funny is not tall or not quiet.
Everyone who is eit... | Fred is funny. | neutral | ((?[X]:((~humble(X)|~funny(X))))<=>((~generous(susan)&~funny(susan))))&
(![X]:(humble(X)<=>(wise(X)<~>humble(X))))&
((?[X]:((wise(X)|~calm(X))))=>((~tall(fred)<~>~brave(fred))))&
(![X]:((~curious(X)|funny(X))=>(~tall(X)|~quiet(X))))&
(![X]:((kind(X)<~>patient(X))<=>(~rich(X)&kind(X))))&
(![X]:(~funny(X)<=>(strong(X)<~>... | funny(fred) | [] | null | 0 |
Everyone who is not kind is either wise or not wise and vice versa.
If alice is both not humble and not happy then someone is funny and vice versa.
If john is kind then fred is both happy and not quiet and vice versa.
Everyone who is either quiet or tall is either not patient or not kind and vice versa.
If someone is e... | Fred is not creative. | contradiction | (![X]:(~kind(X)<=>(wise(X)<~>~wise(X))))&
(((~humble(alice)&~happy(alice)))<=>(?[X]:(funny(X))))&
((kind(john))<=>((happy(fred)&~quiet(fred))))&
(![X]:((quiet(X)<~>tall(X))<=>(~patient(X)<~>~kind(X))))&
((?[X]:((tall(X)<~>quiet(X))))<=>(?[X]:((kind(X)|generous(X)))))&
((~brave(paul))=>((~creative(fred)<~>~generous(fred... | ~creative(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 254327310353898436349642
% SZS output start Proof for 254327310353898436349642
19. creative(fred) [input p18]
25. ~creative(fred) [input hypothesis]
145. creative(fred) [cnf transformation 19]
154. ~creative(fred) [cnf transformation 25]
222. 14 <=> creative(fred) [avatar definition]
320.... | 0 |
Everyone who is not humble is not wise or old and vice versa.
If someone is either rich or not patient then someone is rich or not creative and vice versa.
Everyone who is either not brave or calm is both not strong and not quiet and vice versa.
Everyone who is wise is generous or not brave and vice versa.
Everyone who... | Paul is not old. | contradiction | (![X]:(~humble(X)<=>(~wise(X)|old(X))))&
((?[X]:((rich(X)<~>~patient(X))))<=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((~brave(X)<~>calm(X))<=>(~strong(X)&~quiet(X))))&
(![X]:(wise(X)<=>(generous(X)|~brave(X))))&
(![X]:(~happy(X)=>(brave(X)&~funny(X))))&
(![X]:(kind(X)=>~humble(X)))&
(![X]:(~strong(X)<=>tall(X)))&
(![X]... | ~old(paul) | [
"p0",
"p3",
"p5",
"p7",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7837600935314206956664356
% SZS output start Proof for 7837600935314206956664356
1. ! [X0] : (~humble(X0) <=> (old(X0) | ~wise(X0))) [input p0]
4. ! [X0] : (wise(X0) <=> (~brave(X0) | generous(X0))) [input p3]
6. ! [X0] : (kind(X0) => ~humble(X0)) [input p5]
8. ! [X0] : (brave(X0) => (bra... | 0 |
If susan is both funny and not quiet then someone is old or brave. If alice is not generous or humble then fred is not creative. Everyone who is old is generous or not calm and vice versa. Everyone who is not old or not humble is wise or not brave. Everyone who is not quiet is both funny and not quiet. Everyone who is ... | Susan is not generous. | entailment | (((funny(susan)&~quiet(susan)))=>(?[X]:((old(X)|brave(X)))))&
(((~generous(alice)|humble(alice)))=>(~creative(fred)))&
(![X]:(old(X)<=>(generous(X)|~calm(X))))&
(![X]:((~old(X)|~humble(X))=>(wise(X)|~brave(X))))&
(![X]:(~quiet(X)=>(funny(X)&~quiet(X))))&
(![X]:((~strong(X)&~quiet(X))<=>(~brave(X)|~quiet(X))))&
(![X]:((... | ~generous(susan) | [
"p2",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8109033251854608320476752
% SZS output start Proof for 8109033251854608320476752
3. ! [X0] : (old(X0) <=> (~calm(X0) | generous(X0))) [input p2]
13. ! [X0] : ((old(X0) & rich(X0)) <=> ~humble(X0)) [input p12]
16. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (humble(X0) & rich(X0))) [input p1... | 0 |
If someone is quiet or not tall then someone is either tall or brave.
If mary is not tall or humble then alice is not wise or not kind.
If someone is calm then lucy is not kind or not generous and vice versa.
If someone is both not tall and curious then fred is old or humble.
If someone is both tall and not humble then... | Lucy is humble. | neutral | ((?[X]:((quiet(X)|~tall(X))))=>(?[X]:((tall(X)<~>brave(X)))))&
(((~tall(mary)|humble(mary)))=>((~wise(alice)|~kind(alice))))&
((?[X]:(calm(X)))<=>((~kind(lucy)|~generous(lucy))))&
((?[X]:((~tall(X)&curious(X))))=>((old(fred)|humble(fred))))&
((?[X]:((tall(X)&~humble(X))))=>(~generous(fred)))&
(((wise(paul)|generous(pau... | humble(lucy) | [] | null | 0 |
Everyone who is both patient and not funny is not rich or rich and vice versa.
Everyone who is not creative or not quiet is either not calm or funny and vice versa.
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is eith... | Paul is kind. | contradiction | (![X]:((patient(X)&~funny(X))<=>(~rich(X)|rich(X))))&
(![X]:((~creative(X)|~quiet(X))<=>(~calm(X)<~>funny(X))))&
(![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patien... | kind(paul) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5463904374634304073960725
% SZS output start Proof for 5463904374634304073960725
1. ! [X0] : ((~funny(X0) & patient(X0)) <=> (rich(X0) | ~rich(X0))) [input p0]
4. ! [X0] : ((curious(X0) | ~curious(X0)) <=> generous(X0)) [input p3]
6. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & ... | 0 |
If lucy is either not rich or not humble then someone is old or not tall and vice versa. If mary is both humble and not strong then fred is both brave and not generous and vice versa. Everyone who is not calm is happy or creative and vice versa. Everyone who is either quiet or creative is either humble or not strong. E... | Susan is rich. | contradiction | (((~rich(lucy)<~>~humble(lucy)))<=>(?[X]:((old(X)|~tall(X)))))&
(((humble(mary)&~strong(mary)))<=>((brave(fred)&~generous(fred))))&
(![X]:(~calm(X)<=>(happy(X)|creative(X))))&
(![X]:((quiet(X)<~>creative(X))=>(humble(X)<~>~strong(X))))&
(![X]:((~kind(X)&~patient(X))<=>calm(X)))&
((?[X]:((funny(X)<~>~curious(X))))<=>(?[... | rich(susan) | [
"p4",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8889116426247220561966614
% SZS output start Proof for 8889116426247220561966614
5. ! [X0] : ((~patient(X0) & ~kind(X0)) <=> calm(X0)) [input p4]
9. ! [X0] : (~calm(X0) <=> (~rich(X0) & ~old(X0))) [input p8]
14. ! [X0] : ((~patient(X0) | happy(X0)) <=> ~rich(X0)) [input p13]
23. rich(susa... | 0 |
If paul is calm or not strong then alice is wise.
If someone is curious or old then paul is rich or not wise and vice versa.
If fred is not happy then lucy is not tall or not creative.
Everyone who is both not creative and kind is either not quiet or wise and vice versa.
If someone is both not curious and tall then som... | Fred is humble. | entailment | (((calm(paul)|~strong(paul)))=>(wise(alice)))&
((?[X]:((curious(X)|old(X))))<=>((rich(paul)|~wise(paul))))&
((~happy(fred))=>((~tall(lucy)|~creative(lucy))))&
(![X]:((~creative(X)&kind(X))<=>(~quiet(X)<~>wise(X))))&
((?[X]:((~curious(X)&tall(X))))<=>(?[X]:(tall(X))))&
(![X]:(~quiet(X)=>(~old(X)&~curious(X))))&
((quiet(... | humble(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2995407066753604585847290
% SZS output start Proof for 2995407066753604585847290
15. ! [X0] : ((humble(X0) & ~strong(X0)) <=> ~humble(X0)) [input p14]
25. ~humble(fred) [input hypothesis]
62. ! [X0] : (((humble(X0) & ~strong(X0)) | humble(X0)) & (~humble(X0) | (~humble(X0) | strong(X0))))... | 0 |
Everyone who is not kind or not brave is strong and vice versa.
Everyone who is strong or not old is either wise or curious.
Everyone who is not tall or kind is old or not generous and vice versa.
If fred is both humble and not happy then lucy is not wise.
If someone is patient then alice is wise or not brave.
If someo... | Fred is quiet. | neutral | (![X]:((~kind(X)|~brave(X))<=>strong(X)))&
(![X]:((strong(X)|~old(X))=>(wise(X)<~>curious(X))))&
(![X]:((~tall(X)|kind(X))<=>(old(X)|~generous(X))))&
(((humble(fred)&~happy(fred)))=>(~wise(lucy)))&
((?[X]:(patient(X)))=>((wise(alice)|~brave(alice))))&
((?[X]:((tall(X)<~>~brave(X))))<=>(?[X]:((~quiet(X)&~generous(X)))))... | quiet(fred) | [] | null | 0 |
If someone is both happy and kind then someone is both quiet and strong and vice versa.
If someone is rich then someone is both quiet and not quiet.
Everyone who is either generous or not funny is either old or brave and vice versa.
Everyone who is not generous or quiet is not humble and vice versa.
Everyone who is ric... | Mary is not rich. | entailment | ((?[X]:((happy(X)&kind(X))))<=>(?[X]:((quiet(X)&strong(X)))))&
((?[X]:(rich(X)))=>(?[X]:((quiet(X)&~quiet(X)))))&
(![X]:((generous(X)<~>~funny(X))<=>(old(X)<~>brave(X))))&
(![X]:((~generous(X)|quiet(X))<=>~humble(X)))&
(![X]:(rich(X)=>(~generous(X)<~>~humble(X))))&
(![X]:((~calm(X)|~strong(X))<=>(~generous(X)<~>~brave(... | ~rich(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4650473076572900395778637
% SZS output start Proof for 4650473076572900395778637
2. ? [X0] : rich(X0) => ? [X0] : (~quiet(X0) & quiet(X0)) [input p1]
24. rich(mary) [input hypothesis]
26. ? [X0] : rich(X0) => ? [X1] : (~quiet(X1) & quiet(X1)) [rectify 2]
30. ? [X1] : (~quiet(X1) & quiet(X... | 0 |
Everyone who is not rich is either not tall or not brave.
Everyone who is both happy and calm is rich and vice versa.
Everyone who is both not rich and old is patient.
If someone is either not tall or not kind then mary is both rich and creative and vice versa.
If alice is either not old or not curious then someone is ... | Alice is not generous. | neutral | (![X]:(~rich(X)=>(~tall(X)<~>~brave(X))))&
(![X]:((happy(X)&calm(X))<=>rich(X)))&
(![X]:((~rich(X)&old(X))=>patient(X)))&
((?[X]:((~tall(X)<~>~kind(X))))<=>((rich(mary)&creative(mary))))&
(((~old(alice)<~>~curious(alice)))<=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((strong(X)&~humble(X))<=>(~patient(X)&strong(X))))&
(![... | ~generous(alice) | [] | null | 0 |
If someone is either happy or not patient then fred is humble and vice versa.
If someone is brave then someone is either not strong or not humble and vice versa.
If someone is either happy or not creative then fred is both generous and funny.
Everyone who is either calm or not calm is both quiet and generous.
Everyone ... | Mary is funny. | entailment | ((?[X]:((happy(X)<~>~patient(X))))<=>(humble(fred)))&
((?[X]:(brave(X)))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
((?[X]:((happy(X)<~>~creative(X))))=>((generous(fred)&funny(fred))))&
(![X]:((calm(X)<~>~calm(X))=>(quiet(X)&generous(X))))&
(![X]:(humble(X)=>funny(X)))&
(![X]:((rich(X)&~curious(X))=>(funny(X)&~patient(X)))... | funny(mary) | [
"p3",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2076433255497518609969335
% SZS output start Proof for 2076433255497518609969335
4. ! [X0] : ((calm(X0) <~> ~calm(X0)) => (generous(X0) & quiet(X0))) [input p3]
6. ! [X0] : ((~curious(X0) & rich(X0)) => (~patient(X0) & funny(X0))) [input p5]
10. generous(fred) <=> ~curious(mary) [input p9... | 0 |
If paul is either old or not kind then someone is both not brave and not strong and vice versa.
Everyone who is kind or not kind is not curious or not humble.
If mary is either quiet or wise then someone is both not brave and tall and vice versa.
Everyone who is either quiet or tall is either old or not humble.
Everyon... | John is calm. | contradiction | (((old(paul)<~>~kind(paul)))<=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:((kind(X)|~kind(X))=>(~curious(X)|~humble(X))))&
(((quiet(mary)<~>wise(mary)))<=>(?[X]:((~brave(X)&tall(X)))))&
(![X]:((quiet(X)<~>tall(X))=>(old(X)<~>~humble(X))))&
(![X]:((~strong(X)&kind(X))<=>(funny(X)&~curious(X))))&
(![X]:((patient(X)&~funny(X... | calm(john) | [
"p1",
"p8",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 713796507221891249167521
% SZS output start Proof for 713796507221891249167521
2. ! [X0] : ((~kind(X0) | kind(X0)) => (~humble(X0) | ~curious(X0))) [input p1]
9. (quiet(fred) | ~patient(fred)) <=> ~calm(john) [input p8]
11. ! [X0] : ((wise(X0) | ~humble(X0)) => (humble(X0) <~> ~strong(X0)... | 0 |
If mary is not generous then someone is both not brave and calm. If someone is curious or quiet then someone is curious and vice versa. If lucy is either brave or quiet then someone is both funny and rich and vice versa. Everyone who is either not wise or curious is not wise or not strong and vice versa. Everyone who i... | John is not strong. | entailment | ((~generous(mary))=>(?[X]:((~brave(X)&calm(X)))))&
((?[X]:((curious(X)|quiet(X))))<=>(?[X]:(curious(X))))&
(((brave(lucy)<~>quiet(lucy)))<=>(?[X]:((funny(X)&rich(X)))))&
(![X]:((~wise(X)<~>curious(X))<=>(~wise(X)|~strong(X))))&
(![X]:((calm(X)|rich(X))<=>(~creative(X)|~rich(X))))&
(![X]:((happy(X)|creative(X))=>(curiou... | ~strong(john) | [
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8368478849812837891488481
% SZS output start Proof for 8368478849812837891488481
5. ! [X0] : ((rich(X0) | calm(X0)) <=> (~rich(X0) | ~creative(X0))) [input p4]
11. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~strong(X0)) [input p10]
14. ! [X0] : ((rich(X0) & tall(X0)) <=> (~creative(X0) <~> ... | 0 |
Everyone who is not happy or not strong is not patient or not humble and vice versa.
Everyone who is patient is both not patient and kind.
Everyone who is funny is both strong and quiet.
Everyone who is not funny or not rich is both patient and not generous and vice versa.
Everyone who is calm or not curious is both no... | Susan is happy. | contradiction | (![X]:((~happy(X)|~strong(X))<=>(~patient(X)|~humble(X))))&
(![X]:(patient(X)=>(~patient(X)&kind(X))))&
(![X]:(funny(X)=>(strong(X)&quiet(X))))&
(![X]:((~funny(X)|~rich(X))<=>(patient(X)&~generous(X))))&
(![X]:((calm(X)|~curious(X))=>(~curious(X)&~brave(X))))&
(((generous(mary)<~>~kind(mary)))<=>(?[X]:((old(X)&brave(X)... | happy(susan) | [
"p0",
"p1",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3198261075057142940793759
% SZS output start Proof for 3198261075057142940793759
1. ! [X0] : ((~strong(X0) | ~happy(X0)) <=> (~humble(X0) | ~patient(X0))) [input p0]
2. ! [X0] : (patient(X0) => (kind(X0) & ~patient(X0))) [input p1]
3. ! [X0] : (funny(X0) => (quiet(X0) & strong(X0))) [inpu... | 0 |
If someone is brave or curious then paul is either not curious or not generous.
Everyone who is not rich or not quiet is either not brave or not funny.
Everyone who is both not kind and not generous is both generous and curious and vice versa.
Everyone who is not curious is not old or not patient.
If someone is calm or... | Paul is not patient. | contradiction | ((?[X]:((brave(X)|curious(X))))=>((~curious(paul)<~>~generous(paul))))&
(![X]:((~rich(X)|~quiet(X))=>(~brave(X)<~>~funny(X))))&
(![X]:((~kind(X)&~generous(X))<=>(generous(X)&curious(X))))&
(![X]:(~curious(X)=>(~old(X)|~patient(X))))&
((?[X]:((calm(X)|~kind(X))))=>((~humble(mary)<~>wise(mary))))&
(((patient(mary)|~happy... | ~patient(paul) | [
"p0",
"p2",
"p8",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8634243718176757634448354
% SZS output start Proof for 8634243718176757634448354
1. ? [X0] : (curious(X0) | brave(X0)) => (~curious(paul) <~> ~generous(paul)) [input p0]
3. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> (curious(X0) & generous(X0))) [input p2]
9. ! [X0] : (humble(X0) <=> (~gen... | 0 |
Everyone who is not curious is both not humble and not kind and vice versa.
Everyone who is either not happy or not tall is patient and vice versa.
Everyone who is not quiet or not happy is either not humble or happy.
Everyone who is not patient is both kind and not calm.
Everyone who is not generous or not wise is eit... | Alice is tall. | entailment | (![X]:(~curious(X)<=>(~humble(X)&~kind(X))))&
(![X]:((~happy(X)<~>~tall(X))<=>patient(X)))&
(![X]:((~quiet(X)|~happy(X))=>(~humble(X)<~>happy(X))))&
(![X]:(~patient(X)=>(kind(X)&~calm(X))))&
(![X]:((~generous(X)|~wise(X))<=>(~wise(X)<~>~old(X))))&
((?[X]:((rich(X)<~>~quiet(X))))<=>(?[X]:((~patient(X)<~>brave(X)))))&
(!... | tall(alice) | [
"p0",
"p2",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8036696487667892205502152
% SZS output start Proof for 8036696487667892205502152
1. ! [X0] : (~curious(X0) <=> (~kind(X0) & ~humble(X0))) [input p0]
3. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~humble(X0) <~> happy(X0))) [input p2]
10. ! [X0] : ((~tall(X0) & humble(X0)) <=> (generous(X0) |... | 0 |
Everyone who is either curious or kind is both not tall and not brave and vice versa.
If someone is either patient or happy then lucy is not happy and vice versa.
Everyone who is patient is either creative or funny.
Everyone who is either calm or not calm is either wise or not brave and vice versa.
If someone is both h... | Lucy is strong. | entailment | (![X]:((curious(X)<~>kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:((patient(X)<~>happy(X))))<=>(~happy(lucy)))&
(![X]:(patient(X)=>(creative(X)<~>funny(X))))&
(![X]:((calm(X)<~>~calm(X))<=>(wise(X)<~>~brave(X))))&
((?[X]:((happy(X)&patient(X))))=>(old(paul)))&
((tall(susan))<=>((wise(john)|~rich(john))))&
(((happy(alice)|... | strong(lucy) | [
"p1",
"p2",
"p3",
"p8",
"p10",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 474361144024213456723744
% SZS output start Proof for 474361144024213456723744
2. ? [X0] : (patient(X0) <~> happy(X0)) <=> ~happy(lucy) [input p1]
3. ! [X0] : (patient(X0) => (creative(X0) <~> funny(X0))) [input p2]
4. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> (wise(X0) <~> ~brave(X0))) [inp... | 0 |
Everyone who is old is either funny or not generous.
If someone is either calm or strong then mary is not kind or wise and vice versa.
If paul is wise then paul is either not creative or brave.
Everyone who is either not old or kind is not generous and vice versa.
If alice is rich then someone is old.
If someone is kin... | Paul is not rich. | neutral | (![X]:(old(X)=>(funny(X)<~>~generous(X))))&
((?[X]:((calm(X)<~>strong(X))))<=>((~kind(mary)|wise(mary))))&
((wise(paul))=>((~creative(paul)<~>brave(paul))))&
(![X]:((~old(X)<~>kind(X))<=>~generous(X)))&
((rich(alice))=>(?[X]:(old(X))))&
((?[X]:((kind(X)|~patient(X))))<=>((~happy(mary)|~curious(mary))))&
((?[X]:((calm(X... | ~rich(paul) | [] | null | 0 |
If someone is both quiet and not tall then someone is either tall or funny. Everyone who is old or humble is generous. Everyone who is either strong or kind is not patient and vice versa. If john is either funny or wise then mary is either not tall or not happy and vice versa. Everyone who is both not funny and tall is... | Fred is tall. | entailment | ((?[X]:((quiet(X)&~tall(X))))=>(?[X]:((tall(X)<~>funny(X)))))&
(![X]:((old(X)|humble(X))=>generous(X)))&
(![X]:((strong(X)<~>kind(X))<=>~patient(X)))&
(((funny(john)<~>wise(john)))<=>((~tall(mary)<~>~happy(mary))))&
(![X]:((~funny(X)&tall(X))<=>~tall(X)))&
((?[X]:(~kind(X)))=>(?[X]:((~strong(X)&curious(X)))))&
(![X]:((... | tall(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7007675339423440220444851
% SZS output start Proof for 7007675339423440220444851
5. ! [X0] : ((tall(X0) & ~funny(X0)) <=> ~tall(X0)) [input p4]
23. ~tall(fred) [input hypothesis]
42. ! [X0] : (((tall(X0) & ~funny(X0)) | tall(X0)) & (~tall(X0) | (~tall(X0) | funny(X0)))) [nnf transformatio... | 0 |
Everyone who is either brave or not patient is not old and vice versa.
If someone is humble then someone is both humble and not humble.
Everyone who is either patient or not old is either not rich or not kind and vice versa.
Everyone who is both patient and not strong is old and vice versa.
Everyone who is old or not t... | Alice is not humble. | entailment | (![X]:((brave(X)<~>~patient(X))<=>~old(X)))&
((?[X]:(humble(X)))=>(?[X]:((humble(X)&~humble(X)))))&
(![X]:((patient(X)<~>~old(X))<=>(~rich(X)<~>~kind(X))))&
(![X]:((patient(X)&~strong(X))<=>old(X)))&
(![X]:((old(X)|~tall(X))<=>(~calm(X)<~>quiet(X))))&
(![X]:(rich(X)<=>(tall(X)|curious(X))))&
(((~wise(fred)<~>~strong(fr... | ~humble(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 9078332254002253034908936
% SZS output start Proof for 9078332254002253034908936
2. ? [X0] : humble(X0) => ? [X0] : (~humble(X0) & humble(X0)) [input p1]
22. humble(alice) [input hypothesis]
23. ? [X0] : humble(X0) => ? [X1] : (~humble(X1) & humble(X1)) [rectify 2]
26. ? [X1] : (~humble(X... | 0 |
If paul is both curious and rich then john is not happy or not humble and vice versa. Everyone who is both not funny and not brave is creative or not tall and vice versa. If fred is both not happy and not tall then someone is either kind or happy and vice versa. If john is both tall and rich then someone is both not hu... | Lucy is funny. | entailment | (((curious(paul)&rich(paul)))<=>((~happy(john)|~humble(john))))&
(![X]:((~funny(X)&~brave(X))<=>(creative(X)|~tall(X))))&
(((~happy(fred)&~tall(fred)))<=>(?[X]:((kind(X)<~>happy(X)))))&
(((tall(john)&rich(john)))<=>(?[X]:((~humble(X)&funny(X)))))&
(![X]:((~calm(X)&old(X))<=>(happy(X)<~>calm(X))))&
((?[X]:((~humble(X)|t... | funny(lucy) | [
"p1",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1166743293722567653232351
% SZS output start Proof for 1166743293722567653232351
2. ! [X0] : ((~brave(X0) & ~funny(X0)) <=> (~tall(X0) | creative(X0))) [input p1]
10. (curious(fred) & creative(fred)) <=> (~funny(lucy) | ~strong(lucy)) [input p9]
13. ! [X0] : ((curious(X0) | funny(X0)) <=>... | 0 |
Everyone who is either not humble or happy is curious or not creative.
Everyone who is both calm and not funny is either old or quiet.
If susan is either not rich or not patient then someone is both not rich and not tall.
Everyone who is not wise is both not calm and brave and vice versa.
Everyone who is either not qui... | Lucy is strong. | neutral | (![X]:((~humble(X)<~>happy(X))=>(curious(X)|~creative(X))))&
(![X]:((calm(X)&~funny(X))=>(old(X)<~>quiet(X))))&
(((~rich(susan)<~>~patient(susan)))=>(?[X]:((~rich(X)&~tall(X)))))&
(![X]:(~wise(X)<=>(~calm(X)&brave(X))))&
(![X]:((~quiet(X)<~>patient(X))<=>happy(X)))&
((~happy(john))=>((creative(lucy)<~>humble(lucy))))&
... | strong(lucy) | [] | null | 0 |
Everyone who is patient or wise is humble or not tall. Everyone who is happy or not patient is not happy or not tall and vice versa. Everyone who is quiet is quiet or not quiet. If susan is rich then lucy is either not kind or not funny and vice versa. Everyone who is wise or quiet is either not funny or not quiet and ... | Paul is humble. | neutral | (![X]:((patient(X)|wise(X))=>(humble(X)|~tall(X))))&
(![X]:((happy(X)|~patient(X))<=>(~happy(X)|~tall(X))))&
(![X]:(quiet(X)=>(quiet(X)|~quiet(X))))&
((rich(susan))<=>((~kind(lucy)<~>~funny(lucy))))&
(![X]:((wise(X)|quiet(X))<=>(~funny(X)<~>~quiet(X))))&
(![X]:((~generous(X)&~strong(X))=>tall(X)))&
(![X]:((brave(X)&cre... | humble(paul) | [] | null | 0 |
If someone is funny then someone is happy. Everyone who is both not happy and tall is either tall or not kind and vice versa. Everyone who is rich or creative is not wise or old. If someone is both curious and not generous then someone is both not kind and not curious and vice versa. If mary is both generous and curiou... | Mary is not patient. | neutral | ((?[X]:(funny(X)))=>(?[X]:(happy(X))))&
(![X]:((~happy(X)&tall(X))<=>(tall(X)<~>~kind(X))))&
(![X]:((rich(X)|creative(X))=>(~wise(X)|old(X))))&
((?[X]:((curious(X)&~generous(X))))<=>(?[X]:((~kind(X)&~curious(X)))))&
(((generous(mary)&curious(mary)))=>(?[X]:((funny(X)&patient(X)))))&
(![X]:((quiet(X)<~>~kind(X))=>(calm(... | ~patient(mary) | [] | null | 0 |
Everyone who is either humble or not calm is not happy. Everyone who is happy is humble and vice versa. Everyone who is either not curious or not funny is strong and vice versa. Everyone who is either not kind or not rich is either not happy or brave and vice versa. Everyone who is both not calm and not humble is not r... | Paul is funny. | entailment | (![X]:((humble(X)<~>~calm(X))=>~happy(X)))&
(![X]:(happy(X)<=>humble(X)))&
(![X]:((~curious(X)<~>~funny(X))<=>strong(X)))&
(![X]:((~kind(X)<~>~rich(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((~calm(X)&~humble(X))<=>(~rich(X)|wise(X))))&
((~calm(alice))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:(happy(X)<=>(~curious(X)|~hap... | funny(paul) | [
"p1",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 590982854058639568129538
% SZS output start Proof for 590982854058639568129538
2. ! [X0] : (happy(X0) <=> humble(X0)) [input p1]
7. ! [X0] : (happy(X0) <=> (~happy(X0) | ~curious(X0))) [input p6]
14. ! [X0] : (humble(X0) <=> (rich(X0) & funny(X0))) [input p13]
23. ~funny(paul) [input hypo... | 0 |
Everyone who is not calm or not funny is either rich or not rich. If someone is both creative and not generous then someone 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 a... | Susan is creative. | contradiction | (![X]:((~calm(X)|~funny(X))=>(rich(X)<~>~rich(X))))&
((?[X]:((creative(X)&~generous(X))))=>(?[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... | creative(susan) | [
"p1",
"p6",
"p7",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6156747225258222978460874
% SZS output start Proof for 6156747225258222978460874
2. ? [X0] : (~generous(X0) & creative(X0)) => ? [X0] : (kind(X0) & humble(X0)) [input p1]
7. ! [X0] : (patient(X0) => ~quiet(X0)) [input p6]
8. ? [X0] : (~curious(X0) | ~humble(X0)) => (~creative(alice) & ric... | 0 |
If someone is both not rich and wise then susan is rich.
If someone is not wise or not old then mary is not strong and vice versa.
If mary is not calm then someone is both strong and not wise and vice versa.
Everyone who is rich is not tall and vice versa.
If susan is not tall then fred is both not generous and not cre... | Alice is not creative. | neutral | ((?[X]:((~rich(X)&wise(X))))=>(rich(susan)))&
((?[X]:((~wise(X)|~old(X))))<=>(~strong(mary)))&
((~calm(mary))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:(rich(X)<=>~tall(X)))&
((~tall(susan))<=>((~generous(fred)&~creative(fred))))&
(![X]:((rich(X)<~>strong(X))<=>(~wise(X)|~humble(X))))&
(![X]:(~funny(X)<=>(~happy(X)&~crea... | ~creative(alice) | [] | null | 0 |
Everyone who is either curious or not patient is either not wise or patient and vice versa. Everyone who is not happy is not funny or not creative and vice versa. If lucy is not creative or not humble then someone is both rich and old and vice versa. If susan is both not rich and rich then someone is either kind or bra... | Fred is wise. | contradiction | (![X]:((curious(X)<~>~patient(X))<=>(~wise(X)<~>patient(X))))&
(![X]:(~happy(X)<=>(~funny(X)|~creative(X))))&
(((~creative(lucy)|~humble(lucy)))<=>(?[X]:((rich(X)&old(X)))))&
(((~rich(susan)&rich(susan)))<=>(?[X]:((kind(X)<~>brave(X)))))&
(![X]:((~creative(X)&calm(X))=>(wise(X)|~rich(X))))&
(((strong(susan)&~creative(s... | wise(fred) | [
"p0",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5709716629107811737580393
% SZS output start Proof for 5709716629107811737580393
1. ! [X0] : ((curious(X0) <~> ~patient(X0)) <=> (~wise(X0) <~> patient(X0))) [input p0]
9. ! [X0] : (quiet(X0) <=> (~old(X0) & ~curious(X0))) [input p8]
23. generous(fred) & quiet(fred) [input p22]
25. wise(f... | 0 |
Everyone who is both not wise and not happy is both tall and not brave and vice versa. If someone is both not wise and not brave then fred is not generous. Everyone who is either not strong or not old is both not creative and wise. If someone is kind then someone is not calm or not brave and vice versa. If paul is eith... | John is not wise. | contradiction | (![X]:((~wise(X)&~happy(X))<=>(tall(X)&~brave(X))))&
((?[X]:((~wise(X)&~brave(X))))=>(~generous(fred)))&
(![X]:((~strong(X)<~>~old(X))=>(~creative(X)&wise(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~calm(X)|~brave(X)))))&
(((creative(paul)<~>~creative(paul)))<=>(~quiet(john)))&
(![X]:(~patient(X)=>(~humble(X)&~old(X))))&
(((~c... | ~wise(john) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 981773417748256982994042
% SZS output start Proof for 981773417748256982994042
5. (creative(paul) <~> ~creative(paul)) <=> ~quiet(john) [input p4]
10. ! [X0] : ((~quiet(X0) | happy(X0)) <=> (wise(X0) & funny(X0))) [input p9]
25. ~wise(john) [input hypothesis]
46. (((creative(paul) | ~crea... | 0 |
If fred is both tall and not kind then susan is creative and vice versa.
Everyone who is happy is not quiet.
Everyone who is both patient and kind is not patient or patient.
Everyone who is both not tall and not humble is not wise and vice versa.
Everyone who is not happy or not patient is both not happy and generous.
... | Susan is not humble. | entailment | (((tall(fred)&~kind(fred)))<=>(creative(susan)))&
(![X]:(happy(X)=>~quiet(X)))&
(![X]:((patient(X)&kind(X))=>(~patient(X)|patient(X))))&
(![X]:((~tall(X)&~humble(X))<=>~wise(X)))&
(![X]:((~happy(X)|~patient(X))=>(~happy(X)&generous(X))))&
((patient(mary))<=>(?[X]:((creative(X)&~kind(X)))))&
(![X]:(~patient(X)<=>wise(X)... | ~humble(susan) | [
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 183517190096758282915842
% SZS output start Proof for 183517190096758282915842
4. ! [X0] : ((~humble(X0) & ~tall(X0)) <=> ~wise(X0)) [input p3]
23. ~wise(susan) [input p22]
25. humble(susan) [input hypothesis]
38. ! [X0] : (((~humble(X0) & ~tall(X0)) | wise(X0)) & (~wise(X0) | (humble(X0)... | 0 |
Everyone who is both wise and not wise is not calm.
If lucy is both calm and not rich then someone is not creative.
If fred is wise or not funny then someone is either not happy or curious and vice versa.
Everyone who is either not rich or rich is generous or wise.
If john is not humble then someone is happy.
Everyone ... | John is not quiet. | entailment | (![X]:((wise(X)&~wise(X))=>~calm(X)))&
(((calm(lucy)&~rich(lucy)))=>(?[X]:(~creative(X))))&
(((wise(fred)|~funny(fred)))<=>(?[X]:((~happy(X)<~>curious(X)))))&
(![X]:((~rich(X)<~>rich(X))=>(generous(X)|wise(X))))&
((~humble(john))=>(?[X]:(happy(X))))&
(![X]:((humble(X)<~>~creative(X))<=>(rich(X)&~patient(X))))&
((quiet(... | ~quiet(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 887300901458616579453386
% SZS output start Proof for 887300901458616579453386
12. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> tall(X0)) [input p11]
19. quiet(john) [input hypothesis]
59. ! [X0] : ((((quiet(X0) | tall(X0)) & (~quiet(X0) | ~tall(X0))) | ~tall(X0)) & (tall(X0) | ((~tall(X0) | ... | 0 |
Everyone who is both creative and not kind is either not kind or old and vice versa.
If alice is both old and not kind then john is strong or brave.
Everyone who is both brave and curious is either patient or generous and vice versa.
If susan is generous then lucy is not kind or wise and vice versa.
If lucy is either q... | Paul is not patient. | entailment | (![X]:((creative(X)&~kind(X))<=>(~kind(X)<~>old(X))))&
(((old(alice)&~kind(alice)))=>((strong(john)|brave(john))))&
(![X]:((brave(X)&curious(X))<=>(patient(X)<~>generous(X))))&
((generous(susan))<=>((~kind(lucy)|wise(lucy))))&
(((quiet(lucy)<~>rich(lucy)))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((kind(X)|rich(X))<=>(p... | ~patient(paul) | [
"p5",
"p8",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7538179105134035712957821
% SZS output start Proof for 7538179105134035712957821
6. ! [X0] : ((rich(X0) | kind(X0)) <=> (patient(X0) <~> brave(X0))) [input p5]
9. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (calm(X0) & ~happy(X0))) [input p8]
14. (~calm(fred) & calm(fred)) <=> ? [X0] : ~... | 0 |
If paul is strong or curious then john is not curious or not quiet and vice versa.
Everyone who is either calm or not calm is humble and vice versa.
If mary is not creative then susan is not wise.
If john is calm then paul is curious or not quiet.
If lucy is not quiet then someone is both generous and not tall.
Everyon... | Fred is tall. | neutral | (((strong(paul)|curious(paul)))<=>((~curious(john)|~quiet(john))))&
(![X]:((calm(X)<~>~calm(X))<=>humble(X)))&
((~creative(mary))=>(~wise(susan)))&
((calm(john))=>((curious(paul)|~quiet(paul))))&
((~quiet(lucy))=>(?[X]:((generous(X)&~tall(X)))))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>~curious(X))))&
(![X]:(~humble(X)<... | tall(fred) | [] | null | 0 |
If someone is either patient or not rich then someone is tall and vice versa. Everyone who is humble is generous. Everyone who is both wise and not humble is either patient or not tall and vice versa. If alice is both happy and not brave then someone is both patient and not kind and vice versa. If alice is both old and... | Susan is rich. | neutral | ((?[X]:((patient(X)<~>~rich(X))))<=>(?[X]:(tall(X))))&
(![X]:(humble(X)=>generous(X)))&
(![X]:((wise(X)&~humble(X))<=>(patient(X)<~>~tall(X))))&
(((happy(alice)&~brave(alice)))<=>(?[X]:((patient(X)&~kind(X)))))&
(((old(alice)&humble(alice)))<=>(?[X]:((~curious(X)|patient(X)))))&
((?[X]:((~quiet(X)&~happy(X))))<=>(?[X]:... | rich(susan) | [] | null | 0 |
If someone is not strong or not creative then john is both not tall and curious and vice versa. Everyone who is not quiet or patient is old. If someone is either not creative or not generous then someone is not funny and vice versa. Everyone who is not old or not humble is not tall or happy and vice versa. Everyone who... | John is not old. | contradiction | ((?[X]:((~strong(X)|~creative(X))))<=>((~tall(john)&curious(john))))&
(![X]:((~quiet(X)|patient(X))=>old(X)))&
((?[X]:((~creative(X)<~>~generous(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~old(X)|~humble(X))<=>(~tall(X)|happy(X))))&
(![X]:((curious(X)&quiet(X))=>~brave(X)))&
(![X]:(~old(X)=>(~tall(X)&~happy(X))))&
((?[X]:((b... | ~old(john) | [
"p0",
"p5",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8318178525959259774263977
% SZS output start Proof for 8318178525959259774263977
1. ? [X0] : (~creative(X0) | ~strong(X0)) <=> (curious(john) & ~tall(john)) [input p0]
6. ! [X0] : (~old(X0) => (~happy(X0) & ~tall(X0))) [input p5]
16. ! [X0] : ((curious(X0) | happy(X0)) => (~calm(X0) <~> o... | 0 |
If paul is both not patient and creative then susan is funny.
Everyone who is rich or happy is either brave or not happy and vice versa.
Everyone who is both not humble and quiet is either patient or old and vice versa.
If paul is humble or not patient then someone is old or quiet.
Everyone who is both not kind and fun... | Paul is funny. | entailment | (((~patient(paul)&creative(paul)))=>(funny(susan)))&
(![X]:((rich(X)|happy(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~humble(X)&quiet(X))<=>(patient(X)<~>old(X))))&
(((humble(paul)|~patient(paul)))=>(?[X]:((old(X)|quiet(X)))))&
(![X]:((~kind(X)&funny(X))=>quiet(X)))&
(((~calm(alice)<~>generous(alice)))=>((~strong(susan)&... | funny(paul) | [
"p1",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 634730219945456891607864
% SZS output start Proof for 634730219945456891607864
2. ! [X0] : ((happy(X0) | rich(X0)) <=> (brave(X0) <~> ~happy(X0))) [input p1]
8. ! [X0] : ((brave(X0) <~> creative(X0)) => (old(X0) & happy(X0))) [input p7]
11. ! [X0] : (brave(X0) => (~generous(X0) & ~creativ... | 0 |
If someone is strong or not old then someone is rich or generous.
Everyone who is not kind is either not brave or rich.
Everyone who is curious or quiet is either calm or creative.
If someone is kind then someone is rich or creative and vice versa.
If john is both not happy and not rich then lucy is generous or tall an... | John is tall. | neutral | ((?[X]:((strong(X)|~old(X))))=>(?[X]:((rich(X)|generous(X)))))&
(![X]:(~kind(X)=>(~brave(X)<~>rich(X))))&
(![X]:((curious(X)|quiet(X))=>(calm(X)<~>creative(X))))&
((?[X]:(kind(X)))<=>(?[X]:((rich(X)|creative(X)))))&
(((~happy(john)&~rich(john)))<=>((generous(lucy)|tall(lucy))))&
(((~creative(fred)|creative(fred)))<=>((... | tall(john) | [] | null | 0 |
Everyone who is not happy or not patient is kind and vice versa. If lucy is not kind then someone is either not creative or not curious. If susan is not kind then mary is both not funny and not quiet and vice versa. Everyone who is both humble and not creative is either generous or not generous and vice versa. Everyone... | John is creative. | contradiction | (![X]:((~happy(X)|~patient(X))<=>kind(X)))&
((~kind(lucy))=>(?[X]:((~creative(X)<~>~curious(X)))))&
((~kind(susan))<=>((~funny(mary)&~quiet(mary))))&
(![X]:((humble(X)&~creative(X))<=>(generous(X)<~>~generous(X))))&
(![X]:((~quiet(X)|calm(X))=>(wise(X)<~>quiet(X))))&
(![X]:((happy(X)<~>creative(X))=>(~brave(X)|~wise(X)... | creative(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3945858957102282886718488
% SZS output start Proof for 3945858957102282886718488
4. ! [X0] : ((~creative(X0) & humble(X0)) <=> (generous(X0) <~> ~generous(X0))) [input p3]
22. creative(john) [input hypothesis]
42. ! [X0] : (((~creative(X0) & humble(X0)) | ((generous(X0) | generous(X0)) & ... | 0 |
Everyone who is wise is either not funny or not curious.
Everyone who is both tall and curious is not humble.
If someone is either curious or old then someone is both not humble and not happy.
Everyone who is curious or not kind is not wise or not tall.
Everyone who is both not patient and rich is both quiet and not ge... | Mary is not old. | neutral | (![X]:(wise(X)=>(~funny(X)<~>~curious(X))))&
(![X]:((tall(X)&curious(X))=>~humble(X)))&
((?[X]:((curious(X)<~>old(X))))=>(?[X]:((~humble(X)&~happy(X)))))&
(![X]:((curious(X)|~kind(X))=>(~wise(X)|~tall(X))))&
(![X]:((~patient(X)&rich(X))=>(quiet(X)&~generous(X))))&
(![X]:((funny(X)|calm(X))<=>~brave(X)))&
(![X]:(~genero... | ~old(mary) | [] | null | 0 |
Everyone who is rich or not wise is not calm.
If someone is either not brave or not happy then paul is not funny or not wise and vice versa.
Everyone who is either not happy or not creative is not creative and vice versa.
Everyone who is not old is creative.
If someone is both kind and not kind then lucy is both not cr... | Fred is strong. | entailment | (![X]:((rich(X)|~wise(X))=>~calm(X)))&
((?[X]:((~brave(X)<~>~happy(X))))<=>((~funny(paul)|~wise(paul))))&
(![X]:((~happy(X)<~>~creative(X))<=>~creative(X)))&
(![X]:(~old(X)=>creative(X)))&
((?[X]:((kind(X)&~kind(X))))=>((~creative(lucy)&quiet(lucy))))&
(![X]:(~brave(X)=>(old(X)<~>quiet(X))))&
(((humble(lucy)|~funny(luc... | strong(fred) | [
"p2",
"p3",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 929700920803196238451263
% SZS output start Proof for 929700920803196238451263
3. ! [X0] : ((~happy(X0) <~> ~creative(X0)) <=> ~creative(X0)) [input p2]
4. ! [X0] : (~old(X0) => creative(X0)) [input p3]
11. ! [X0] : ((~old(X0) & quiet(X0)) <=> (~wise(X0) <~> strong(X0))) [input p10]
13. !... | 0 |
Everyone who is not kind or tall is both tall and not creative.
Everyone who is either humble or not old is not strong.
If mary is brave then someone is not quiet.
If mary is both not rich and creative then someone is both brave and not creative and vice versa.
If john is both not funny and patient then someone is both... | Paul is not rich. | contradiction | (![X]:((~kind(X)|tall(X))=>(tall(X)&~creative(X))))&
(![X]:((humble(X)<~>~old(X))=>~strong(X)))&
((brave(mary))=>(?[X]:(~quiet(X))))&
(((~rich(mary)&creative(mary)))<=>(?[X]:((brave(X)&~creative(X)))))&
(((~funny(john)&patient(john)))<=>(?[X]:((~funny(X)&~rich(X)))))&
((rich(paul))<=>(?[X]:(~strong(X))))&
(![X]:((~tall... | ~rich(paul) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4502322123721949963632580
% SZS output start Proof for 4502322123721949963632580
6. rich(paul) <=> ? [X0] : ~strong(X0) [input p5]
11. (~kind(john) | kind(john)) => ~strong(paul) [input p10]
25. ~rich(paul) [input hypothesis]
35. ~strong(paul) | (kind(john) & ~kind(john)) [ennf transforma... | 0 |
Everyone who is either patient or not strong is kind or not patient and vice versa.
Everyone who is quiet or patient is both curious and generous and vice versa.
Everyone who is not curious or not happy is happy.
Everyone who is both not funny and not humble is both humble and strong.
If john is both kind and brave the... | Alice is not kind. | entailment | (![X]:((patient(X)<~>~strong(X))<=>(kind(X)|~patient(X))))&
(![X]:((quiet(X)|patient(X))<=>(curious(X)&generous(X))))&
(![X]:((~curious(X)|~happy(X))=>happy(X)))&
(![X]:((~funny(X)&~humble(X))=>(humble(X)&strong(X))))&
(((kind(john)&brave(john)))<=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:((~wise(X)&old(X))=>(calm(X)&rich... | ~kind(alice) | [
"p1",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1303078572713204003756344
% SZS output start Proof for 1303078572713204003756344
2. ! [X0] : ((patient(X0) | quiet(X0)) <=> (generous(X0) & curious(X0))) [input p1]
9. ! [X0] : ((~funny(X0) | generous(X0)) <=> (~kind(X0) & creative(X0))) [input p8]
11. ! [X0] : ((tall(X0) | humble(X0)) <=... | 0 |
Everyone who is both not creative and quiet is either generous or not kind and vice versa.
If someone is not wise or not curious then lucy is not kind.
Everyone who is both wise and not curious is either not patient or humble.
Everyone who is calm is not calm or not strong.
Everyone who is both not curious and funny is... | Lucy is not patient. | contradiction | (![X]:((~creative(X)&quiet(X))<=>(generous(X)<~>~kind(X))))&
((?[X]:((~wise(X)|~curious(X))))=>(~kind(lucy)))&
(![X]:((wise(X)&~curious(X))=>(~patient(X)<~>humble(X))))&
(![X]:(calm(X)=>(~calm(X)|~strong(X))))&
(![X]:((~curious(X)&funny(X))<=>(funny(X)<~>~tall(X))))&
(![X]:((creative(X)<~>calm(X))<=>(~kind(X)|~wise(X))... | ~patient(lucy) | [
"p4",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2530431905782974268807589
% SZS output start Proof for 2530431905782974268807589
5. ! [X0] : ((funny(X0) & ~curious(X0)) <=> (funny(X0) <~> ~tall(X0))) [input p4]
7. ! [X0] : (~patient(X0) => (brave(X0) & ~generous(X0))) [input p6]
8. ! [X0] : ((funny(X0) <~> ~generous(X0)) <=> (humble(X0... | 0 |
If alice is funny or not generous then someone is either not happy or not quiet.
Everyone who is either not generous or not humble is either not quiet or creative.
Everyone who is not calm or not old is both not calm and calm and vice versa.
Everyone who is both old and kind is not generous and vice versa.
If john is b... | Lucy is not happy. | entailment | (((funny(alice)|~generous(alice)))=>(?[X]:((~happy(X)<~>~quiet(X)))))&
(![X]:((~generous(X)<~>~humble(X))=>(~quiet(X)<~>creative(X))))&
(![X]:((~calm(X)|~old(X))<=>(~calm(X)&calm(X))))&
(![X]:((old(X)&kind(X))<=>~generous(X)))&
(((strong(john)&~happy(john)))=>(?[X]:((~calm(X)&~wise(X)))))&
(![X]:((curious(X)|happy(X))<... | ~happy(lucy) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4743145180224746476437969
% SZS output start Proof for 4743145180224746476437969
3. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (calm(X0) & ~calm(X0))) [input p2]
6. ! [X0] : ((happy(X0) | curious(X0)) <=> (~calm(X0) & ~quiet(X0))) [input p5]
22. happy(lucy) [input hypothesis]
36. ! [X0] : (((~o... | 0 |
Everyone who is not creative or strong is either kind or wise. Everyone who is either wise or funny is either not old or old. Everyone who is tall is creative. If someone is both old and not happy then john is not rich or not patient. Everyone who is creative is curious and vice versa. If someone is generous or not pat... | Paul is not rich. | contradiction | (![X]:((~creative(X)|strong(X))=>(kind(X)<~>wise(X))))&
(![X]:((wise(X)<~>funny(X))=>(~old(X)<~>old(X))))&
(![X]:(tall(X)=>creative(X)))&
((?[X]:((old(X)&~happy(X))))=>((~rich(john)|~patient(john))))&
(![X]:(creative(X)<=>curious(X)))&
((?[X]:((generous(X)|~patient(X))))=>((~curious(paul)<~>~creative(paul))))&
(![X]:((... | ~rich(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7922490926524429736403987
% SZS output start Proof for 7922490926524429736403987
19. rich(paul) [input p18]
23. ~rich(paul) [input hypothesis]
114. rich(paul) [cnf transformation 19]
118. ~rich(paul) [cnf transformation 23]
239. $false [subsumption resolution 118,114]
% SZS output end Pro... | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa. If susan is both creative and kind then someone is generous. If fred is not rich or quiet then someone is either not tall or generous. Everyone who is not brave is either not quiet or old and vice versa. If someone is not patient or funn... | John is not creative. | neutral | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
(((creative(susan)&kind(susan)))=>(?[X]:(generous(X))))&
(((~rich(fred)|quiet(fred)))=>(?[X]:((~tall(X)<~>generous(X)))))&
(![X]:(~brave(X)<=>(~quiet(X)<~>old(X))))&
((?[X]:((~patient(X)|funny(X))))<=>((~humble(mary)&~funny(mary))))&
(![X]:(~tall(X)=>(humble(X)... | ~creative(john) | [] | null | 0 |
If someone is either creative or strong then fred is calm or not funny.
Everyone who is either not curious or not kind is not wise.
If fred is either brave or not tall then john is either curious or not tall and vice versa.
Everyone who is not kind or not old is both not wise and not generous.
Everyone who is either ca... | Fred is creative. | neutral | ((?[X]:((creative(X)<~>strong(X))))=>((calm(fred)|~funny(fred))))&
(![X]:((~curious(X)<~>~kind(X))=>~wise(X)))&
(((brave(fred)<~>~tall(fred)))<=>((curious(john)<~>~tall(john))))&
(![X]:((~kind(X)|~old(X))=>(~wise(X)&~generous(X))))&
(![X]:((calm(X)<~>~kind(X))<=>(~tall(X)|~kind(X))))&
(![X]:((~generous(X)&~quiet(X))=>(... | creative(fred) | [] | null | 0 |
If someone is both not patient and not rich then someone is tall and vice versa.
Everyone who is wise or happy is not strong or strong.
If someone is both calm and curious then someone is wise and vice versa.
If mary is either brave or creative then susan is both not wise and not funny and vice versa.
If lucy is both n... | Alice is not patient. | contradiction | ((?[X]:((~patient(X)&~rich(X))))<=>(?[X]:(tall(X))))&
(![X]:((wise(X)|happy(X))=>(~strong(X)|strong(X))))&
((?[X]:((calm(X)&curious(X))))<=>(?[X]:(wise(X))))&
(((brave(mary)<~>creative(mary)))<=>((~wise(susan)&~funny(susan))))&
(((~calm(lucy)&~humble(lucy)))<=>(~kind(alice)))&
(![X]:((brave(X)<~>~old(X))<=>quiet(X)))&
... | ~patient(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7992027349352600486788597
% SZS output start Proof for 7992027349352600486788597
9. ! [X0] : ((~tall(X0) & patient(X0)) <=> (~patient(X0) | rich(X0))) [input p8]
23. ~patient(alice) [input hypothesis]
55. ! [X0] : (((~tall(X0) & patient(X0)) | (patient(X0) & ~rich(X0))) & ((~patient(X0) |... | 0 |
Everyone who is either not generous or not patient is both not old and rich.
If someone is both rich and strong then alice is happy and vice versa.
Everyone who is creative or generous is old or not wise.
If someone is either not kind or strong then someone is both generous and tall and vice versa.
Everyone who is funn... | John is not rich. | entailment | (![X]:((~generous(X)<~>~patient(X))=>(~old(X)&rich(X))))&
((?[X]:((rich(X)&strong(X))))<=>(happy(alice)))&
(![X]:((creative(X)|generous(X))=>(old(X)|~wise(X))))&
((?[X]:((~kind(X)<~>strong(X))))<=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((funny(X)|~funny(X))=>~tall(X)))&
(![X]:((curious(X)|patient(X))<=>(~patient(X)<~>s... | ~rich(john) | [
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8486777423817629906109847
% SZS output start Proof for 8486777423817629906109847
5. ! [X0] : ((~funny(X0) | funny(X0)) => ~tall(X0)) [input p4]
13. ! [X0] : (~tall(X0) <=> humble(X0)) [input p12]
14. ! [X0] : ((humble(X0) | happy(X0)) <=> ~rich(X0)) [input p13]
24. rich(john) [input hypot... | 0 |
If someone is either not creative or not generous then lucy is happy. If someone is old or not brave then fred is not quiet or old. Everyone who is either rich or kind is not patient or not curious and vice versa. If mary is not humble or not patient then someone is either curious or not strong and vice versa. If susan... | Susan is kind. | neutral | ((?[X]:((~creative(X)<~>~generous(X))))=>(happy(lucy)))&
((?[X]:((old(X)|~brave(X))))=>((~quiet(fred)|old(fred))))&
(![X]:((rich(X)<~>kind(X))<=>(~patient(X)|~curious(X))))&
(((~humble(mary)|~patient(mary)))<=>(?[X]:((curious(X)<~>~strong(X)))))&
(((curious(susan)|~patient(susan)))<=>((~rich(fred)|~patient(fred))))&
(!... | kind(susan) | [] | null | 0 |
If someone is either wise or not curious then paul is not brave or not happy and vice versa.
If fred is strong then alice is not kind and vice versa.
Everyone who is either patient or brave is both humble and curious and vice versa.
Everyone who is brave is both tall and humble.
If susan is both happy and curious then ... | Paul is not humble. | contradiction | ((?[X]:((wise(X)<~>~curious(X))))<=>((~brave(paul)|~happy(paul))))&
((strong(fred))<=>(~kind(alice)))&
(![X]:((patient(X)<~>brave(X))<=>(humble(X)&curious(X))))&
(![X]:(brave(X)=>(tall(X)&humble(X))))&
(((happy(susan)&curious(susan)))=>((~happy(john)|~patient(john))))&
(![X]:((~brave(X)|~curious(X))=>(~quiet(X)|calm(X)... | ~humble(paul) | [
"p2",
"p3",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4586742048004782610938151
% SZS output start Proof for 4586742048004782610938151
3. ! [X0] : ((patient(X0) <~> brave(X0)) <=> (curious(X0) & humble(X0))) [input p2]
4. ! [X0] : (brave(X0) => (humble(X0) & tall(X0))) [input p3]
9. ! [X0] : (patient(X0) <=> (~strong(X0) | ~calm(X0))) [input... | 0 |
Everyone who is both not humble and not patient is both tall and curious.
Everyone who is not old is not humble.
Everyone who is both strong and not strong is both not humble and not funny.
If someone is both not funny and not rich then someone is both not kind and not rich.
If mary is calm or curious then someone is n... | Fred is patient. | neutral | (![X]:((~humble(X)&~patient(X))=>(tall(X)&curious(X))))&
(![X]:(~old(X)=>~humble(X)))&
(![X]:((strong(X)&~strong(X))=>(~humble(X)&~funny(X))))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~kind(X)&~rich(X)))))&
(((calm(mary)|curious(mary)))<=>(?[X]:(~kind(X))))&
(![X]:((~tall(X)|patient(X))=>(old(X)|kind(X))))&
(![X]:((~cu... | patient(fred) | [] | null | 0 |
If alice is creative or curious then fred is both curious and strong.
Everyone who is either rich or not rich is not humble or wise and vice versa.
If someone is brave then alice is both patient and not rich and vice versa.
Everyone who is humble or not brave is rich.
If susan is either calm or happy then susan is both... | Susan is calm. | neutral | (((creative(alice)|curious(alice)))=>((curious(fred)&strong(fred))))&
(![X]:((rich(X)<~>~rich(X))<=>(~humble(X)|wise(X))))&
((?[X]:(brave(X)))<=>((patient(alice)&~rich(alice))))&
(![X]:((humble(X)|~brave(X))=>rich(X)))&
(((calm(susan)<~>happy(susan)))<=>((quiet(susan)&happy(susan))))&
(![X]:((~humble(X)&creative(X))=>(... | calm(susan) | [] | null | 0 |
Everyone who is curious is both wise and not creative and vice versa.
Everyone who is both not generous and tall is both not strong and not old and vice versa.
Everyone who is calm is both not quiet and patient and vice versa.
If mary is both happy and funny then someone is not funny or not humble and vice versa.
If pa... | John is generous. | contradiction | (![X]:(curious(X)<=>(wise(X)&~creative(X))))&
(![X]:((~generous(X)&tall(X))<=>(~strong(X)&~old(X))))&
(![X]:(calm(X)<=>(~quiet(X)&patient(X))))&
(((happy(mary)&funny(mary)))<=>(?[X]:((~funny(X)|~humble(X)))))&
(((wise(paul)|~calm(paul)))=>(?[X]:((~kind(X)|~happy(X)))))&
((?[X]:((~calm(X)&~old(X))))=>(old(fred)))&
(((pa... | generous(john) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4164382050799514954860692
% SZS output start Proof for 4164382050799514954860692
1. ! [X0] : (curious(X0) <=> (~creative(X0) & wise(X0))) [input p0]
16. ! [X0] : ((wise(X0) | ~curious(X0)) => (~creative(X0) & ~generous(X0))) [input p15]
24. generous(john) [input hypothesis]
37. ! [X0] : (... | 0 |
If paul is either not calm or creative then paul is either quiet or humble and vice versa. If alice is not wise then susan is not old. If someone is either patient or old then someone is brave or not brave and vice versa. Everyone who is old is both not rich and funny. If mary is generous then mary is wise or not gener... | Alice is curious. | neutral | (((~calm(paul)<~>creative(paul)))<=>((quiet(paul)<~>humble(paul))))&
((~wise(alice))=>(~old(susan)))&
((?[X]:((patient(X)<~>old(X))))<=>(?[X]:((brave(X)|~brave(X)))))&
(![X]:(old(X)=>(~rich(X)&funny(X))))&
((generous(mary))=>((wise(mary)|~generous(mary))))&
(![X]:((~rich(X)&~happy(X))<=>(humble(X)|~old(X))))&
(![X]:((w... | curious(alice) | [] | null | 0 |
If susan is either happy or kind then paul is both not generous and not patient and vice versa.
If someone is either funny or not kind then someone is generous or not brave.
If someone is not happy or not brave then paul is not wise and vice versa.
If someone is not generous or rich then someone is either happy or curi... | Mary is old. | contradiction | (((happy(susan)<~>kind(susan)))<=>((~generous(paul)&~patient(paul))))&
((?[X]:((funny(X)<~>~kind(X))))=>(?[X]:((generous(X)|~brave(X)))))&
((?[X]:((~happy(X)|~brave(X))))<=>(~wise(paul)))&
((?[X]:((~generous(X)|rich(X))))=>(?[X]:((happy(X)<~>curious(X)))))&
((?[X]:((funny(X)<~>humble(X))))=>((curious(fred)<~>funny(fred... | old(mary) | [
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1613518452223597943427289
% SZS output start Proof for 1613518452223597943427289
8. ! [X0] : (~strong(X0) <=> (kind(X0) <~> strong(X0))) [input p7]
14. (~kind(fred) & ~tall(fred)) <=> ? [X0] : (~wise(X0) | ~humble(X0)) [input p13]
15. ! [X0] : ((old(X0) | rich(X0)) => ~wise(X0)) [input p1... | 0 |
Everyone who is both not rich and not humble is both strong and not curious.
Everyone who is either not rich or not kind is both not patient and calm.
Everyone who is curious or patient is not patient or not tall and vice versa.
If john is either not tall or not old then someone is not tall and vice versa.
Everyone who... | Paul is not calm. | contradiction | (![X]:((~rich(X)&~humble(X))=>(strong(X)&~curious(X))))&
(![X]:((~rich(X)<~>~kind(X))=>(~patient(X)&calm(X))))&
(![X]:((curious(X)|patient(X))<=>(~patient(X)|~tall(X))))&
(((~tall(john)<~>~old(john)))<=>(?[X]:(~tall(X))))&
(![X]:((calm(X)<~>~curious(X))=>~quiet(X)))&
(![X]:(generous(X)=>(~curious(X)&humble(X))))&
((?[X... | ~calm(paul) | [
"p2",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 418241650494531101920823
% SZS output start Proof for 418241650494531101920823
3. ! [X0] : ((patient(X0) | curious(X0)) <=> (~tall(X0) | ~patient(X0))) [input p2]
6. ! [X0] : (generous(X0) => (humble(X0) & ~curious(X0))) [input p5]
8. ! [X0] : (~calm(X0) <=> (~patient(X0) & ~tall(X0))) [i... | 0 |
Everyone who is either not rich or tall is generous or not calm.
If susan is both kind and curious then someone is either curious or not patient.
Everyone who is both patient and strong is happy or not kind.
Everyone who is both not quiet and rich is both brave and old.
Everyone who is not patient or not creative is bo... | Paul is happy. | neutral | (![X]:((~rich(X)<~>tall(X))=>(generous(X)|~calm(X))))&
(((kind(susan)&curious(susan)))=>(?[X]:((curious(X)<~>~patient(X)))))&
(![X]:((patient(X)&strong(X))=>(happy(X)|~kind(X))))&
(![X]:((~quiet(X)&rich(X))=>(brave(X)&old(X))))&
(![X]:((~patient(X)|~creative(X))=>(generous(X)&~generous(X))))&
(![X]:((~creative(X)<~>~ge... | happy(paul) | [] | null | 0 |
Everyone who is both not brave and not curious is both rich and funny. Everyone who is not old is either not brave or generous and vice versa. If lucy is not kind then someone is either not brave or not strong. Everyone who is both not wise and tall is humble and vice versa. If someone is rich then fred is both generou... | Lucy is not generous. | neutral | (![X]:((~brave(X)&~curious(X))=>(rich(X)&funny(X))))&
(![X]:(~old(X)<=>(~brave(X)<~>generous(X))))&
((~kind(lucy))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(![X]:((~wise(X)&tall(X))<=>humble(X)))&
((?[X]:(rich(X)))=>((generous(fred)&curious(fred))))&
(![X]:(generous(X)<=>~humble(X)))&
(![X]:((calm(X)&~calm(X))=>(old(X)<~>p... | ~generous(lucy) | [] | null | 0 |
Everyone who is both not generous and not wise is not rich or not wise. If someone is either not strong or not rich then susan is not happy or not generous. Everyone who is either not kind or calm is either patient or not funny. Everyone who is not generous or kind is not quiet. If fred is both happy and not patient th... | Alice is not rich. | contradiction | (![X]:((~generous(X)&~wise(X))=>(~rich(X)|~wise(X))))&
((?[X]:((~strong(X)<~>~rich(X))))=>((~happy(susan)|~generous(susan))))&
(![X]:((~kind(X)<~>calm(X))=>(patient(X)<~>~funny(X))))&
(![X]:((~generous(X)|kind(X))=>~quiet(X)))&
(((happy(fred)&~patient(fred)))<=>((funny(alice)<~>kind(alice))))&
((~kind(fred))<=>(?[X]:((... | ~rich(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6491617155319337861268082
% SZS output start Proof for 6491617155319337861268082
14. ! [X0] : ((wise(X0) | ~wise(X0)) => (~patient(X0) & rich(X0))) [input p13]
24. ~rich(alice) [input hypothesis]
35. ! [X0] : ((~patient(X0) & rich(X0)) | (~wise(X0) & wise(X0))) [ennf transformation 14]
13... | 0 |
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is either not quiet or rich.
Everyone who is not happy or not quiet is both wise and not curious.
Everyone who is both not patient and not funny is both not curious and gen... | Susan is not wise. | contradiction | (![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patient(X)&~funny(X))<=>(~curious(X)&generous(X))))&
((~humble(paul))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((happy(X... | ~wise(susan) | [
"p0",
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7867963648818083157485191
% SZS output start Proof for 7867963648818083157485191
1. ! [X0] : (~kind(X0) => (wise(X0) & creative(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & wise(X0))) [input p3]
12. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (wise(X0) | ~cre... | 0 |
Everyone who is both strong and not creative is both wise and old and vice versa.
Everyone who is happy or strong is either not generous or not patient.
Everyone who is not patient is both not funny and tall.
Everyone who is not patient or not old is kind.
If someone is either quiet or not funny then susan is either ca... | Lucy is not patient. | neutral | (![X]:((strong(X)&~creative(X))<=>(wise(X)&old(X))))&
(![X]:((happy(X)|strong(X))=>(~generous(X)<~>~patient(X))))&
(![X]:(~patient(X)=>(~funny(X)&tall(X))))&
(![X]:((~patient(X)|~old(X))=>kind(X)))&
((?[X]:((quiet(X)<~>~funny(X))))<=>((calm(susan)<~>~brave(susan))))&
(((~strong(paul)|kind(paul)))=>(?[X]:((~tall(X)&gene... | ~patient(lucy) | [] | null | 0 |
Everyone who is not brave is not kind or happy. If someone is wise then john is both not creative and kind. If someone is not creative or not quiet then paul is both happy and old and vice versa. Everyone who is either rich or wise is either not tall or happy. If someone is quiet or tall then someone is both curious an... | Mary is rich. | entailment | (![X]:(~brave(X)=>(~kind(X)|happy(X))))&
((?[X]:(wise(X)))=>((~creative(john)&kind(john))))&
((?[X]:((~creative(X)|~quiet(X))))<=>((happy(paul)&old(paul))))&
(![X]:((rich(X)<~>wise(X))=>(~tall(X)<~>happy(X))))&
((?[X]:((quiet(X)|tall(X))))<=>(?[X]:((curious(X)&funny(X)))))&
(((~curious(fred)<~>~happy(fred)))<=>(?[X]:((... | rich(mary) | [
"p6",
"p7",
"p11",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2980881392481276548263080
% SZS output start Proof for 2980881392481276548263080
7. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> funny(X0)) [input p6]
8. ! [X0] : ((~brave(X0) <~> creative(X0)) <=> (rich(X0) & funny(X0))) [input p7]
12. ! [X0] : ((~wise(X0) | ~funny(X0)) => ~funny(X0)) [input p1... | 0 |
If lucy is not happy or not patient then someone is not rich or not wise.
If someone is both kind and not quiet then someone is not brave.
If paul is both generous and humble then someone is not curious or not happy and vice versa.
If mary is either not wise or not old then someone is either old or not funny.
If someon... | Fred is strong. | contradiction | (((~happy(lucy)|~patient(lucy)))=>(?[X]:((~rich(X)|~wise(X)))))&
((?[X]:((kind(X)&~quiet(X))))=>(?[X]:(~brave(X))))&
(((generous(paul)&humble(paul)))<=>(?[X]:((~curious(X)|~happy(X)))))&
(((~wise(mary)<~>~old(mary)))=>(?[X]:((old(X)<~>~funny(X)))))&
((?[X]:((calm(X)|~creative(X))))<=>((~old(paul)&calm(paul))))&
((?[X]:... | strong(fred) | [
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 16072136184729716843919
% SZS output start Proof for 16072136184729716843919
6. ? [X0] : (~humble(X0) | humble(X0)) <=> (~funny(fred) & generous(fred)) [input p5]
12. ! [X0] : ((~patient(X0) & ~wise(X0)) <=> (happy(X0) | ~funny(X0))) [input p11]
15. ! [X0] : ((~strong(X0) <~> ~wise(X0)) =... | 0 |
Everyone who is either brave or not rich is either kind or not quiet and vice versa.
If paul is not kind or old then john is rich and vice versa.
Everyone who is quiet is either not happy or generous and vice versa.
Everyone who is both not old and not tall is either not calm or curious and vice versa.
If someone is ei... | Lucy is wise. | entailment | (![X]:((brave(X)<~>~rich(X))<=>(kind(X)<~>~quiet(X))))&
(((~kind(paul)|old(paul)))<=>(rich(john)))&
(![X]:(quiet(X)<=>(~happy(X)<~>generous(X))))&
(![X]:((~old(X)&~tall(X))<=>(~calm(X)<~>curious(X))))&
((?[X]:((~quiet(X)<~>funny(X))))=>(~brave(mary)))&
(![X]:((old(X)&~strong(X))<=>(~wise(X)|old(X))))&
(((wise(paul)<~>~... | wise(lucy) | [
"p0",
"p5",
"p10",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5870112198959586389128480
% SZS output start Proof for 5870112198959586389128480
1. ! [X0] : ((brave(X0) <~> ~rich(X0)) <=> (kind(X0) <~> ~quiet(X0))) [input p0]
6. ! [X0] : ((~strong(X0) & old(X0)) <=> (old(X0) | ~wise(X0))) [input p5]
11. ! [X0] : ((~quiet(X0) & ~generous(X0)) <=> (old(... | 0 |
If someone is generous or not tall then someone is rich.
Everyone who is not kind or generous is generous and vice versa.
Everyone who is either old or kind is not wise or rich and vice versa.
If john is either humble or not strong then paul is both rich and not funny.
If mary is not generous then someone is either cal... | Mary is not old. | entailment | ((?[X]:((generous(X)|~tall(X))))=>(?[X]:(rich(X))))&
(![X]:((~kind(X)|generous(X))<=>generous(X)))&
(![X]:((old(X)<~>kind(X))<=>(~wise(X)|rich(X))))&
(((humble(john)<~>~strong(john)))=>((rich(paul)&~funny(paul))))&
((~generous(mary))=>(?[X]:((calm(X)<~>humble(X)))))&
(((quiet(alice)<~>tall(alice)))<=>(?[X]:((wise(X)<~>... | ~old(mary) | [
"p1",
"p2",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4789749397687639350775097
% SZS output start Proof for 4789749397687639350775097
2. ! [X0] : ((generous(X0) | ~kind(X0)) <=> generous(X0)) [input p1]
3. ! [X0] : ((old(X0) <~> kind(X0)) <=> (rich(X0) | ~wise(X0))) [input p2]
11. ? [X0] : (~generous(X0) & ~happy(X0)) <=> ? [X0] : (old(X0) ... | 0 |
If someone is not tall or calm then someone is not wise and vice versa. Everyone who is kind is creative and vice versa. Everyone who is not wise or not rich is both wise and not generous. Everyone who is kind or generous is both rich and tall and vice versa. If fred is both not tall and not brave then someone is eithe... | Lucy is not calm. | entailment | ((?[X]:((~tall(X)|calm(X))))<=>(?[X]:(~wise(X))))&
(![X]:(kind(X)<=>creative(X)))&
(![X]:((~wise(X)|~rich(X))=>(wise(X)&~generous(X))))&
(![X]:((kind(X)|generous(X))<=>(rich(X)&tall(X))))&
(((~tall(fred)&~brave(fred)))<=>(?[X]:((generous(X)<~>~creative(X)))))&
((?[X]:(generous(X)))<=>(?[X]:((~creative(X)<~>calm(X)))))&... | ~calm(lucy) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3988823163928582656228240
% SZS output start Proof for 3988823163928582656228240
1. ? [X0] : (calm(X0) | ~tall(X0)) <=> ? [X0] : ~wise(X0) [input p0]
3. ! [X0] : ((~rich(X0) | ~wise(X0)) => (~generous(X0) & wise(X0))) [input p2]
22. calm(lucy) [input hypothesis]
23. ? [X0] : (calm(X0) | ~... | 0 |
If someone is both old and curious then lucy is both not rich and calm and vice versa. Everyone who is not humble or wise is calm and vice versa. If someone is not strong then susan is not patient or not rich. If alice is both not curious and not humble then someone is either wise or not happy. Everyone who is not gene... | Mary is not patient. | contradiction | ((?[X]:((old(X)&curious(X))))<=>((~rich(lucy)&calm(lucy))))&
(![X]:((~humble(X)|wise(X))<=>calm(X)))&
((?[X]:(~strong(X)))=>((~patient(susan)|~rich(susan))))&
(((~curious(alice)&~humble(alice)))=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:(~generous(X)=>(~kind(X)<~>~happy(X))))&
(((brave(alice)<~>wise(alice)))=>(?[X]:((~cr... | ~patient(mary) | [
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1575983896401404136485061
% SZS output start Proof for 1575983896401404136485061
12. patient(mary) <=> ? [X0] : (curious(X0) | creative(X0)) [input p11]
21. creative(susan) & old(susan) [input p20]
25. ~patient(mary) [input hypothesis]
67. (patient(mary) | ! [X0] : (~curious(X0) & ~creati... | 0 |
If someone is not curious or strong then someone is both not tall and kind and vice versa. Everyone who is patient is both not generous and humble and vice versa. Everyone who is humble is either not strong or not humble and vice versa. Everyone who is both not generous and not strong is either not creative or not funn... | Alice is old. | neutral | ((?[X]:((~curious(X)|strong(X))))<=>(?[X]:((~tall(X)&kind(X)))))&
(![X]:(patient(X)<=>(~generous(X)&humble(X))))&
(![X]:(humble(X)<=>(~strong(X)<~>~humble(X))))&
(![X]:((~generous(X)&~strong(X))<=>(~creative(X)<~>~funny(X))))&
((?[X]:(creative(X)))<=>(wise(alice)))&
((?[X]:((creative(X)|~wise(X))))<=>(rich(john)))&
(((... | old(alice) | [] | null | 0 |
Everyone who is not happy is not curious and vice versa.
Everyone who is both funny and strong is either patient or generous and vice versa.
Everyone who is both strong and not kind is either brave or kind.
If paul is both not funny and kind then john is either strong or quiet.
If someone is either rich or generous the... | Fred is not calm. | neutral | (![X]:(~happy(X)<=>~curious(X)))&
(![X]:((funny(X)&strong(X))<=>(patient(X)<~>generous(X))))&
(![X]:((strong(X)&~kind(X))=>(brave(X)<~>kind(X))))&
(((~funny(paul)&kind(paul)))=>((strong(john)<~>quiet(john))))&
((?[X]:((rich(X)<~>generous(X))))<=>(?[X]:(rich(X))))&
(![X]:(strong(X)=>(~strong(X)&~generous(X))))&
(![X]:((... | ~calm(fred) | [] | null | 0 |
Everyone who is both not happy and not rich is not happy or not patient.
If mary is not happy then someone is funny and vice versa.
Everyone who is not kind is either not tall or not funny.
If susan is humble then someone is either not curious or curious.
Everyone who is not wise is not patient and vice versa.
If someo... | Alice is not happy. | entailment | (![X]:((~happy(X)&~rich(X))=>(~happy(X)|~patient(X))))&
((~happy(mary))<=>(?[X]:(funny(X))))&
(![X]:(~kind(X)=>(~tall(X)<~>~funny(X))))&
((humble(susan))=>(?[X]:((~curious(X)<~>curious(X)))))&
(![X]:(~wise(X)<=>~patient(X)))&
((?[X]:((~patient(X)<~>funny(X))))=>(?[X]:((~rich(X)<~>funny(X)))))&
(![X]:((~strong(X)|old(X)... | ~happy(alice) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8368269805962137209770635
% SZS output start Proof for 8368269805962137209770635
7. ! [X0] : ((old(X0) | ~strong(X0)) => (~happy(X0) & calm(X0))) [input p6]
24. ~funny(alice) & ~strong(alice) [input p23]
25. happy(alice) [input hypothesis]
29. ! [X0] : (~strong(X0) => (~happy(X0) & calm(X... | 0 |
Everyone who is not curious or not happy is not generous or humble.
Everyone who is not happy is not curious or brave and vice versa.
If someone is either calm or generous then alice is both tall and not humble.
Everyone who is generous or old is both not calm and old and vice versa.
If someone is both humble and funny... | Fred is generous. | contradiction | (![X]:((~curious(X)|~happy(X))=>(~generous(X)|humble(X))))&
(![X]:(~happy(X)<=>(~curious(X)|brave(X))))&
((?[X]:((calm(X)<~>generous(X))))=>((tall(alice)&~humble(alice))))&
(![X]:((generous(X)|old(X))<=>(~calm(X)&old(X))))&
((?[X]:((humble(X)&funny(X))))=>(?[X]:(~generous(X))))&
(![X]:((quiet(X)<~>creative(X))<=>(~rich... | generous(fred) | [
"p0",
"p1",
"p3",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 228022308710627678593797
% SZS output start Proof for 228022308710627678593797
1. ! [X0] : ((~happy(X0) | ~curious(X0)) => (humble(X0) | ~generous(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> (brave(X0) | ~curious(X0))) [input p1]
4. ! [X0] : ((old(X0) | generous(X0)) <=> (old(X0) & ~calm... | 0 |
Everyone who is calm or tall is either not old or not brave and vice versa. Everyone who is patient is both not curious and not rich and vice versa. Everyone who is either not curious or curious is either old or not rich and vice versa. If someone is calm or not brave then someone is not rich or patient. Everyone who i... | John is not patient. | entailment | (![X]:((calm(X)|tall(X))<=>(~old(X)<~>~brave(X))))&
(![X]:(patient(X)<=>(~curious(X)&~rich(X))))&
(![X]:((~curious(X)<~>curious(X))<=>(old(X)<~>~rich(X))))&
((?[X]:((calm(X)|~brave(X))))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:(old(X)<=>~patient(X)))&
(![X]:((~humble(X)|~curious(X))=>(~brave(X)<~>wise(X))))&
(![X]:(~pa... | ~patient(john) | [
"p4",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 408987412729662042943282
% SZS output start Proof for 408987412729662042943282
5. ! [X0] : (old(X0) <=> ~patient(X0)) [input p4]
9. (old(john) & tall(john)) <=> ? [X0] : ~curious(X0) [input p8]
19. ? [X0] : (~strong(X0) & ~curious(X0)) [input p18]
25. patient(john) [input hypothesis]
27. ... | 0 |
Everyone who is either not old or not patient is not brave or not patient. Everyone who is humble or creative is not curious or patient. Everyone who is both brave and strong is either curious or creative and vice versa. Everyone who is both kind and brave is either not generous or quiet and vice versa. Everyone who is... | Lucy is not strong. | entailment | (![X]:((~old(X)<~>~patient(X))=>(~brave(X)|~patient(X))))&
(![X]:((humble(X)|creative(X))=>(~curious(X)|patient(X))))&
(![X]:((brave(X)&strong(X))<=>(curious(X)<~>creative(X))))&
(![X]:((kind(X)&brave(X))<=>(~generous(X)<~>quiet(X))))&
(![X]:(rich(X)<=>(tall(X)|generous(X))))&
((?[X]:((~kind(X)|~tall(X))))=>(?[X]:((gen... | ~strong(lucy) | [
"p2",
"p3",
"p6",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2562973284638662997314528
% SZS output start Proof for 2562973284638662997314528
3. ! [X0] : ((strong(X0) & brave(X0)) <=> (curious(X0) <~> creative(X0))) [input p2]
4. ! [X0] : ((brave(X0) & kind(X0)) <=> (~generous(X0) <~> quiet(X0))) [input p3]
7. (old(lucy) & curious(lucy)) <=> ? [X0]... | 0 |
If mary is generous then lucy is not happy or quiet.
Everyone who is creative or patient is either old or generous and vice versa.
Everyone who is either not old or not generous is either not quiet or curious and vice versa.
Everyone who is patient or brave is not happy or not rich.
If alice is not strong or not curiou... | Mary is humble. | neutral | ((generous(mary))=>((~happy(lucy)|quiet(lucy))))&
(![X]:((creative(X)|patient(X))<=>(old(X)<~>generous(X))))&
(![X]:((~old(X)<~>~generous(X))<=>(~quiet(X)<~>curious(X))))&
(![X]:((patient(X)|brave(X))=>(~happy(X)|~rich(X))))&
(((~strong(alice)|~curious(alice)))<=>(patient(lucy)))&
((?[X]:((creative(X)<~>~wise(X))))=>(?... | humble(mary) | [] | null | 0 |
Everyone who is both strong and not quiet is either not old or patient and vice versa. If susan is quiet then alice is both not quiet and not strong and vice versa. Everyone who is not creative or not quiet is kind or not quiet and vice versa. If fred is happy then someone is happy and vice versa. Everyone who is both ... | Susan is funny. | neutral | (![X]:((strong(X)&~quiet(X))<=>(~old(X)<~>patient(X))))&
((quiet(susan))<=>((~quiet(alice)&~strong(alice))))&
(![X]:((~creative(X)|~quiet(X))<=>(kind(X)|~quiet(X))))&
((happy(fred))<=>(?[X]:(happy(X))))&
(![X]:((~patient(X)&creative(X))=>(calm(X)&~old(X))))&
((humble(mary))<=>((patient(lucy)|rich(lucy))))&
((?[X]:((~ol... | funny(susan) | [] | null | 0 |
Everyone who is calm or not generous is either not humble or not patient.
If paul is either old or wise then someone is either not patient or not creative and vice versa.
If someone is tall or not calm then someone is either creative or not curious.
Everyone who is not wise is both kind and not tall.
If someone is eith... | Alice is patient. | neutral | (![X]:((calm(X)|~generous(X))=>(~humble(X)<~>~patient(X))))&
(((old(paul)<~>wise(paul)))<=>(?[X]:((~patient(X)<~>~creative(X)))))&
((?[X]:((tall(X)|~calm(X))))=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:(~wise(X)=>(kind(X)&~tall(X))))&
((?[X]:((~generous(X)<~>~curious(X))))<=>(?[X]:((~funny(X)<~>~wise(X)))))&
(((~ki... | patient(alice) | [] | null | 0 |
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