premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is humble then someone is either not generous or strong and vice versa. If john is both not generous and humble then someone is curious. If someone is either quiet or not happy then someone is either not brave or brave. If susan is not happy then lucy is either not calm or old. Everyone who is curious is eit... | Susan is calm. | neutral | ((?[X]:(humble(X)))<=>(?[X]:((~generous(X)<~>strong(X)))))&
(((~generous(john)&humble(john)))=>(?[X]:(curious(X))))&
((?[X]:((quiet(X)<~>~happy(X))))=>(?[X]:((~brave(X)<~>brave(X)))))&
((~happy(susan))=>((~calm(lucy)<~>old(lucy))))&
(![X]:(curious(X)<=>(humble(X)<~>happy(X))))&
(![X]:(kind(X)<=>(~calm(X)|funny(X))))&
(... | calm(susan) | [] | null | 0 |
Everyone who is either not strong or not wise is happy or quiet. If someone is both happy and kind then someone is not old. Everyone who is not calm or tall is either patient or not wise. Everyone who is not strong or not kind is either not patient or not kind. Everyone who is not tall or old is not wise or rich and vi... | Mary is strong. | entailment | (![X]:((~strong(X)<~>~wise(X))=>(happy(X)|quiet(X))))&
((?[X]:((happy(X)&kind(X))))=>(?[X]:(~old(X))))&
(![X]:((~calm(X)|tall(X))=>(patient(X)<~>~wise(X))))&
(![X]:((~strong(X)|~kind(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((~tall(X)|old(X))<=>(~wise(X)|rich(X))))&
(![X]:((curious(X)|~patient(X))<=>patient(X)))&
(![X]:(... | strong(mary) | [
"p3",
"p4",
"p5",
"p6",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3061091937321872621251653
% SZS output start Proof for 3061091937321872621251653
4. ! [X0] : ((~kind(X0) | ~strong(X0)) => (~patient(X0) <~> ~kind(X0))) [input p3]
5. ! [X0] : ((old(X0) | ~tall(X0)) <=> (rich(X0) | ~wise(X0))) [input p4]
6. ! [X0] : ((~patient(X0) | curious(X0)) <=> patie... | 0 |
If someone is happy then john is happy.
Everyone who is not rich or strong is not curious or not calm.
If susan is strong then alice is both kind and not humble.
If someone is either calm or creative then someone is quiet and vice versa.
Everyone who is not creative is either not creative or not tall and vice versa.
Ev... | Paul is not calm. | neutral | ((?[X]:(happy(X)))=>(happy(john)))&
(![X]:((~rich(X)|strong(X))=>(~curious(X)|~calm(X))))&
((strong(susan))=>((kind(alice)&~humble(alice))))&
((?[X]:((calm(X)<~>creative(X))))<=>(?[X]:(quiet(X))))&
(![X]:(~creative(X)<=>(~creative(X)<~>~tall(X))))&
(![X]:((~rich(X)<~>~humble(X))=>tall(X)))&
(![X]:((~patient(X)&~creativ... | ~calm(paul) | [] | null | 0 |
If mary is either generous or not generous then someone is either curious or not brave and vice versa.
Everyone who is not tall is both rich and quiet.
Everyone who is happy is both old and creative and vice versa.
Everyone who is curious is strong or not quiet and vice versa.
Everyone who is strong is wise or funny.
E... | Lucy is not creative. | contradiction | (((generous(mary)<~>~generous(mary)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(![X]:(~tall(X)=>(rich(X)&quiet(X))))&
(![X]:(happy(X)<=>(old(X)&creative(X))))&
(![X]:(curious(X)<=>(strong(X)|~quiet(X))))&
(![X]:(strong(X)=>(wise(X)|funny(X))))&
(![X]:((kind(X)&~kind(X))=>(~old(X)<~>~happy(X))))&
(![X]:((happy(X)&quiet(X))... | ~creative(lucy) | [
"p1",
"p3",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8220899833618617747780080
% SZS output start Proof for 8220899833618617747780080
2. ! [X0] : (~tall(X0) => (quiet(X0) & rich(X0))) [input p1]
4. ! [X0] : (curious(X0) <=> (~quiet(X0) | strong(X0))) [input p3]
10. (brave(alice) | old(alice)) => (old(lucy) & creative(lucy)) [input p9]
12. (... | 0 |
Everyone who is not curious or tall is not quiet or not brave. Everyone who is either not strong or not old is both not brave and calm and vice versa. Everyone who is not brave or not humble is not tall and vice versa. If paul is not quiet then someone is either kind or strong. If alice is rich or funny then mary is ei... | Fred is not tall. | entailment | (![X]:((~curious(X)|tall(X))=>(~quiet(X)|~brave(X))))&
(![X]:((~strong(X)<~>~old(X))<=>(~brave(X)&calm(X))))&
(![X]:((~brave(X)|~humble(X))<=>~tall(X)))&
((~quiet(paul))=>(?[X]:((kind(X)<~>strong(X)))))&
(((rich(alice)|funny(alice)))=>((~strong(mary)<~>calm(mary))))&
(((funny(lucy)&~humble(lucy)))=>(?[X]:((humble(X)<~>... | ~tall(fred) | [
"p0",
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5825345727327143919522720
% SZS output start Proof for 5825345727327143919522720
1. ! [X0] : ((tall(X0) | ~curious(X0)) => (~brave(X0) | ~quiet(X0))) [input p0]
3. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> ~tall(X0)) [input p2]
23. quiet(fred) [input p22]
25. tall(fred) [input hypothesis]
... | 0 |
If someone is calm then someone is either tall or not generous. If someone is either brave or not strong then susan is not humble or not calm and vice versa. Everyone who is not wise is either wise or not funny and vice versa. If john is either not brave or strong then alice is quiet. Everyone who is both not humble an... | Fred is strong. | entailment | ((?[X]:(calm(X)))=>(?[X]:((tall(X)<~>~generous(X)))))&
((?[X]:((brave(X)<~>~strong(X))))<=>((~humble(susan)|~calm(susan))))&
(![X]:(~wise(X)<=>(wise(X)<~>~funny(X))))&
(((~brave(john)<~>strong(john)))=>(quiet(alice)))&
(![X]:((~humble(X)&~funny(X))<=>(~strong(X)<~>old(X))))&
(![X]:(strong(X)<=>(~quiet(X)|~old(X))))&
((... | strong(fred) | [
"p2",
"p4",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8307999648207193605712428
% SZS output start Proof for 8307999648207193605712428
3. ! [X0] : (~wise(X0) <=> (wise(X0) <~> ~funny(X0))) [input p2]
5. ! [X0] : ((~funny(X0) & ~humble(X0)) <=> (~strong(X0) <~> old(X0))) [input p4]
6. ! [X0] : (strong(X0) <=> (~old(X0) | ~quiet(X0))) [input p... | 0 |
If susan is strong or quiet then someone is either not strong or wise.
If alice is generous or not creative then someone is humble.
If someone is not generous or not rich then someone is not kind.
Everyone who is kind is not wise or not rich and vice versa.
If lucy is either not creative or not wise then someone is eit... | Fred is tall. | contradiction | (((strong(susan)|quiet(susan)))=>(?[X]:((~strong(X)<~>wise(X)))))&
(((generous(alice)|~creative(alice)))=>(?[X]:(humble(X))))&
((?[X]:((~generous(X)|~rich(X))))=>(?[X]:(~kind(X))))&
(![X]:(kind(X)<=>(~wise(X)|~rich(X))))&
(((~creative(lucy)<~>~wise(lucy)))=>(?[X]:((~creative(X)<~>~strong(X)))))&
(![X]:((wise(X)|~rich(X... | tall(fred) | [
"p5",
"p10",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1011748298668064208921969
% SZS output start Proof for 1011748298668064208921969
6. ! [X0] : ((~rich(X0) | wise(X0)) <=> (wise(X0) | ~funny(X0))) [input p5]
11. ! [X0] : (rich(X0) <=> ~tall(X0)) [input p10]
18. patient(fred) & ~wise(fred) [input p17]
22. funny(fred) [input p21]
25. tall(f... | 0 |
Everyone who is both strong and not old is not tall or kind.
If john is both calm and not curious then someone is either generous or not patient.
Everyone who is not tall or old is old or not funny and vice versa.
If someone is both not curious and patient then paul is funny and vice versa.
If someone is either generou... | Paul is not old. | contradiction | (![X]:((strong(X)&~old(X))=>(~tall(X)|kind(X))))&
(((calm(john)&~curious(john)))=>(?[X]:((generous(X)<~>~patient(X)))))&
(![X]:((~tall(X)|old(X))<=>(old(X)|~funny(X))))&
((?[X]:((~curious(X)&patient(X))))<=>(funny(paul)))&
((?[X]:((generous(X)<~>~quiet(X))))=>((~patient(fred)<~>~brave(fred))))&
(![X]:(humble(X)<=>(old(... | ~old(paul) | [
"p2",
"p5",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8794565229459415598143927
% SZS output start Proof for 8794565229459415598143927
3. ! [X0] : ((old(X0) | ~tall(X0)) <=> (~funny(X0) | old(X0))) [input p2]
6. ! [X0] : (humble(X0) <=> (old(X0) <~> ~quiet(X0))) [input p5]
8. ! [X0] : ((~generous(X0) <~> ~tall(X0)) <=> (~funny(X0) | generous... | 0 |
If someone is both happy and generous then someone is not rich and vice versa.
If paul is not curious then john is both not patient and calm and vice versa.
Everyone who is quiet is both not brave and not funny.
Everyone who is not happy is both generous and brave and vice versa.
If susan is not strong then john is eit... | John is not calm. | contradiction | ((?[X]:((happy(X)&generous(X))))<=>(?[X]:(~rich(X))))&
((~curious(paul))<=>((~patient(john)&calm(john))))&
(![X]:(quiet(X)=>(~brave(X)&~funny(X))))&
(![X]:(~happy(X)<=>(generous(X)&brave(X))))&
((~strong(susan))<=>((~old(john)<~>~funny(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(old(X))))&
((?[X]:((~patient(X)&~bra... | ~calm(john) | [
"p2",
"p3",
"p7",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2511952598976951549319748
% SZS output start Proof for 2511952598976951549319748
3. ! [X0] : (quiet(X0) => (~funny(X0) & ~brave(X0))) [input p2]
4. ! [X0] : (~happy(X0) <=> (brave(X0) & generous(X0))) [input p3]
8. ! [X0] : ((~brave(X0) <~> funny(X0)) <=> (~happy(X0) <~> ~calm(X0))) [inpu... | 0 |
If susan is rich or not happy then john is not humble or not creative. Everyone who is both not old and not wise is either not calm or not happy and vice versa. If someone is old then fred is brave. Everyone who is not generous or not old is both not brave and brave. Everyone who is not kind is either not tall or not f... | Lucy is humble. | neutral | (((rich(susan)|~happy(susan)))=>((~humble(john)|~creative(john))))&
(![X]:((~old(X)&~wise(X))<=>(~calm(X)<~>~happy(X))))&
((?[X]:(old(X)))=>(brave(fred)))&
(![X]:((~generous(X)|~old(X))=>(~brave(X)&brave(X))))&
(![X]:(~kind(X)<=>(~tall(X)<~>~funny(X))))&
(![X]:((~wise(X)&~old(X))=>(~humble(X)&~kind(X))))&
(![X]:((~brav... | humble(lucy) | [] | null | 0 |
Everyone who is both creative and generous is rich or kind and vice versa.
Everyone who is both not strong and happy is patient or rich.
If lucy is not curious or not happy then susan is either patient or not kind.
If someone is either not tall or wise then alice is not happy or wise.
If someone is both not tall and cr... | Alice is generous. | contradiction | (![X]:((creative(X)&generous(X))<=>(rich(X)|kind(X))))&
(![X]:((~strong(X)&happy(X))=>(patient(X)|rich(X))))&
(((~curious(lucy)|~happy(lucy)))=>((patient(susan)<~>~kind(susan))))&
((?[X]:((~tall(X)<~>wise(X))))=>((~happy(alice)|wise(alice))))&
((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((patient(X)&wise(X)))))&
(![X]:((~... | generous(alice) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p10",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 858422629240815649626113
% SZS output start Proof for 858422629240815649626113
1. ! [X0] : ((generous(X0) & creative(X0)) <=> (kind(X0) | rich(X0))) [input p0]
4. ? [X0] : (~tall(X0) <~> wise(X0)) => (wise(alice) | ~happy(alice)) [input p3]
5. ? [X0] : (creative(X0) & ~tall(X0)) <=> ? [X0... | 0 |
Everyone who is either not tall or not generous is either happy or not rich. If mary is either happy or not humble then someone is both not tall and not calm and vice versa. Everyone who is creative is not creative or tall. Everyone who is funny is either humble or not happy and vice versa. If someone is not quiet then... | Lucy is not funny. | contradiction | (![X]:((~tall(X)<~>~generous(X))=>(happy(X)<~>~rich(X))))&
(((happy(mary)<~>~humble(mary)))<=>(?[X]:((~tall(X)&~calm(X)))))&
(![X]:(creative(X)=>(~creative(X)|tall(X))))&
(![X]:(funny(X)<=>(humble(X)<~>~happy(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~calm(X)&wise(X)))))&
((?[X]:((quiet(X)|wise(X))))<=>(wise(john)))&
(((~ha... | ~funny(lucy) | [
"p9",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8574143273842834118965482
% SZS output start Proof for 8574143273842834118965482
10. ? [X0] : (~funny(X0) | quiet(X0)) => ? [X0] : (~kind(X0) & tall(X0)) [input p9]
14. ? [X0] : tall(X0) <=> (creative(john) & quiet(john)) [input p13]
18. ~quiet(john) & ~patient(john) [input p17]
25. ~funn... | 0 |
If someone is either rich or funny then paul is not generous.
Everyone who is both funny and not brave is both not calm and humble and vice versa.
If fred is rich or not generous then john is not wise or not strong.
If fred is either brave or not happy then paul is quiet.
Everyone who is either not humble or not brave ... | Fred is not funny. | entailment | ((?[X]:((rich(X)<~>funny(X))))=>(~generous(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~calm(X)&humble(X))))&
(((rich(fred)|~generous(fred)))=>((~wise(john)|~strong(john))))&
(((brave(fred)<~>~happy(fred)))=>(quiet(paul)))&
(![X]:((~humble(X)<~>~brave(X))<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((... | ~funny(fred) | [
"p1",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 517492692129426495139838
% SZS output start Proof for 517492692129426495139838
2. ! [X0] : ((~brave(X0) & funny(X0)) <=> (humble(X0) & ~calm(X0))) [input p1]
9. ! [X0] : ((~curious(X0) & calm(X0)) <=> funny(X0)) [input p8]
14. ? [X0] : (funny(X0) <~> ~brave(X0)) => ? [X0] : (~strong(X0) &... | 0 |
Everyone who is not wise or calm is both not humble and generous.
Everyone who is funny or patient is either not strong or funny.
If someone is both not strong and strong then someone is not tall or not humble.
Everyone who is both wise and happy is both kind and not tall.
Everyone who is both creative and not kind is ... | Susan is patient. | neutral | (![X]:((~wise(X)|calm(X))=>(~humble(X)&generous(X))))&
(![X]:((funny(X)|patient(X))=>(~strong(X)<~>funny(X))))&
((?[X]:((~strong(X)&strong(X))))=>(?[X]:((~tall(X)|~humble(X)))))&
(![X]:((wise(X)&happy(X))=>(kind(X)&~tall(X))))&
(![X]:((creative(X)&~kind(X))<=>(~rich(X)&generous(X))))&
((?[X]:((~calm(X)<~>tall(X))))<=>(... | patient(susan) | [] | null | 0 |
If someone is both not funny and old then someone is rich or curious and vice versa. Everyone who is both not generous and not funny is either not funny or funny. Everyone who is not brave is either not humble or rich. Everyone who is brave is both not patient and rich. If john is not generous then someone is not stron... | John is not generous. | entailment | ((?[X]:((~funny(X)&old(X))))<=>(?[X]:((rich(X)|curious(X)))))&
(![X]:((~generous(X)&~funny(X))=>(~funny(X)<~>funny(X))))&
(![X]:(~brave(X)=>(~humble(X)<~>rich(X))))&
(![X]:(brave(X)=>(~patient(X)&rich(X))))&
((~generous(john))<=>(?[X]:((~strong(X)|rich(X)))))&
((?[X]:((~creative(X)|calm(X))))<=>(?[X]:((happy(X)|brave(X... | ~generous(john) | [
"p4",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6668391524355858251178493
% SZS output start Proof for 6668391524355858251178493
5. ~generous(john) <=> ? [X0] : (rich(X0) | ~strong(X0)) [input p4]
11. ! [X0] : ((~old(X0) | kind(X0)) => (~rich(X0) <~> ~happy(X0))) [input p10]
12. ! [X0] : ((happy(X0) <~> ~kind(X0)) => (~humble(X0) & ~ki... | 0 |
If someone is both not wise and strong then someone is curious.
If someone is either humble or curious then lucy is both generous and old and vice versa.
If someone is happy or not calm then mary is not patient.
If someone is tall or calm then fred is either not calm or old.
If someone is either brave or curious then a... | Mary is not curious. | contradiction | ((?[X]:((~wise(X)&strong(X))))=>(?[X]:(curious(X))))&
((?[X]:((humble(X)<~>curious(X))))<=>((generous(lucy)&old(lucy))))&
((?[X]:((happy(X)|~calm(X))))=>(~patient(mary)))&
((?[X]:((tall(X)|calm(X))))=>((~calm(fred)<~>old(fred))))&
((?[X]:((brave(X)<~>curious(X))))<=>(~kind(alice)))&
(![X]:(funny(X)=>(quiet(X)&~calm(X))... | ~curious(mary) | [
"p2",
"p10",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8315817688901791052705554
% SZS output start Proof for 8315817688901791052705554
3. ? [X0] : (~calm(X0) | happy(X0)) => ~patient(mary) [input p2]
11. ! [X0] : (creative(X0) <=> ~calm(X0)) [input p10]
12. ! [X0] : ((~patient(X0) | tall(X0)) => ~funny(X0)) [input p11]
13. ! [X0] : (~funny(X... | 0 |
If someone is both old and not curious then lucy is wise.
Everyone who is both not old and old is not generous or old and vice versa.
If mary is generous then susan is both quiet and happy.
Everyone who is not calm or not wise is kind or quiet and vice versa.
If susan is not creative then someone is patient or not funn... | Susan is not creative. | neutral | ((?[X]:((old(X)&~curious(X))))=>(wise(lucy)))&
(![X]:((~old(X)&old(X))<=>(~generous(X)|old(X))))&
((generous(mary))=>((quiet(susan)&happy(susan))))&
(![X]:((~calm(X)|~wise(X))<=>(kind(X)|quiet(X))))&
((~creative(susan))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((~kind(X)<~>curious(X))))=>(?[X]:((~wise(X)&happy(X)))))... | ~creative(susan) | [] | null | 0 |
Everyone who is wise is humble or creative and vice versa.
If lucy is brave then lucy is not tall or brave.
Everyone who is not wise or not funny is either quiet or not old.
Everyone who is strong or wise is either not happy or tall.
If john is both patient and not patient then someone is either not old or not tall and... | Mary is not old. | neutral | (![X]:(wise(X)<=>(humble(X)|creative(X))))&
((brave(lucy))=>((~tall(lucy)|brave(lucy))))&
(![X]:((~wise(X)|~funny(X))=>(quiet(X)<~>~old(X))))&
(![X]:((strong(X)|wise(X))=>(~happy(X)<~>tall(X))))&
(((patient(john)&~patient(john)))<=>(?[X]:((~old(X)<~>~tall(X)))))&
(![X]:((~patient(X)&~curious(X))<=>(humble(X)<~>rich(X))... | ~old(mary) | [] | null | 0 |
Everyone who is both kind and not curious is not quiet and vice versa.
If someone is not calm then someone is either not funny or calm and vice versa.
Everyone who is either quiet or rich is not wise and vice versa.
Everyone who is calm is not humble or not tall and vice versa.
If susan is not rich or not funny then fr... | John is happy. | neutral | (![X]:((kind(X)&~curious(X))<=>~quiet(X)))&
((?[X]:(~calm(X)))<=>(?[X]:((~funny(X)<~>calm(X)))))&
(![X]:((quiet(X)<~>rich(X))<=>~wise(X)))&
(![X]:(calm(X)<=>(~humble(X)|~tall(X))))&
(((~rich(susan)|~funny(susan)))=>(~calm(fred)))&
(![X]:(brave(X)<=>kind(X)))&
(((happy(alice)&~quiet(alice)))<=>((~tall(alice)|~brave(alic... | happy(john) | [] | null | 0 |
If someone is both not old and not wise then someone is both not old and not curious and vice versa.
Everyone who is not brave or quiet is either not old or not rich and vice versa.
Everyone who is both tall and not rich is not old and vice versa.
If mary is either not creative or wise then someone is either humble or ... | Alice is not strong. | neutral | ((?[X]:((~old(X)&~wise(X))))<=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:((~brave(X)|quiet(X))<=>(~old(X)<~>~rich(X))))&
(![X]:((tall(X)&~rich(X))<=>~old(X)))&
(((~creative(mary)<~>wise(mary)))=>(?[X]:((humble(X)<~>creative(X)))))&
(![X]:((~curious(X)&happy(X))<=>~tall(X)))&
(![X]:((creative(X)&~funny(X))<=>(~quiet(X)|~wi... | ~strong(alice) | [] | null | 0 |
If paul is both not quiet and not tall then someone is both humble and curious and vice versa.
If mary is happy or not happy then lucy is either not tall or not curious and vice versa.
Everyone who is either not calm or not old is not calm and vice versa.
If alice is not curious then john is both not kind and not rich ... | Mary is calm. | neutral | (((~quiet(paul)&~tall(paul)))<=>(?[X]:((humble(X)&curious(X)))))&
(((happy(mary)|~happy(mary)))<=>((~tall(lucy)<~>~curious(lucy))))&
(![X]:((~calm(X)<~>~old(X))<=>~calm(X)))&
((~curious(alice))<=>((~kind(john)&~rich(john))))&
(![X]:((~humble(X)<~>~old(X))<=>(happy(X)|~patient(X))))&
(![X]:((happy(X)|~generous(X))=>(~ca... | calm(mary) | [] | null | 0 |
Everyone who is either strong or not calm is not happy. If someone is both not wise and not happy then fred is not old and vice versa. If fred is not generous or not kind then someone is either brave or not creative and vice versa. If mary is creative then someone is either not creative or brave. If alice is both patie... | Mary is not strong. | entailment | (![X]:((strong(X)<~>~calm(X))=>~happy(X)))&
((?[X]:((~wise(X)&~happy(X))))<=>(~old(fred)))&
(((~generous(fred)|~kind(fred)))<=>(?[X]:((brave(X)<~>~creative(X)))))&
((creative(mary))=>(?[X]:((~creative(X)<~>brave(X)))))&
(((patient(alice)&calm(alice)))<=>(?[X]:((tall(X)|calm(X)))))&
((?[X]:(~old(X)))=>(?[X]:((happy(X)|~... | ~strong(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4216404028475406949383354
% SZS output start Proof for 4216404028475406949383354
15. ! [X0] : ((curious(X0) | strong(X0)) <=> ~strong(X0)) [input p14]
21. strong(mary) [input hypothesis]
69. ! [X0] : (((curious(X0) | strong(X0)) | strong(X0)) & (~strong(X0) | (~curious(X0) & ~strong(X0)))... | 0 |
If mary is either kind or not patient then john is either not generous or not happy and vice versa.
If fred is brave then alice is both rich and strong and vice versa.
Everyone who is both not rich and happy is either funny or kind and vice versa.
Everyone who is either patient or not tall is not patient or wise and vi... | Paul is not funny. | contradiction | (((kind(mary)<~>~patient(mary)))<=>((~generous(john)<~>~happy(john))))&
((brave(fred))<=>((rich(alice)&strong(alice))))&
(![X]:((~rich(X)&happy(X))<=>(funny(X)<~>kind(X))))&
(![X]:((patient(X)<~>~tall(X))<=>(~patient(X)|wise(X))))&
(![X]:(happy(X)=>quiet(X)))&
((?[X]:((quiet(X)<~>~rich(X))))=>(~old(susan)))&
(![X]:((br... | ~funny(paul) | [
"p2",
"p4",
"p5",
"p6",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 759933476394237815551720
% SZS output start Proof for 759933476394237815551720
3. ! [X0] : ((happy(X0) & ~rich(X0)) <=> (funny(X0) <~> kind(X0))) [input p2]
5. ! [X0] : (happy(X0) => quiet(X0)) [input p4]
6. ? [X0] : (quiet(X0) <~> ~rich(X0)) => ~old(susan) [input p5]
7. ! [X0] : ((funny(... | 0 |
Everyone who is either not kind or patient is both not brave and not strong and vice versa.
Everyone who is either quiet or not patient is funny or wise.
If someone is rich then someone is quiet or not happy.
Everyone who is both creative and calm is either creative or not generous and vice versa.
Everyone who is tall ... | Mary is generous. | neutral | (![X]:((~kind(X)<~>patient(X))<=>(~brave(X)&~strong(X))))&
(![X]:((quiet(X)<~>~patient(X))=>(funny(X)|wise(X))))&
((?[X]:(rich(X)))=>(?[X]:((quiet(X)|~happy(X)))))&
(![X]:((creative(X)&calm(X))<=>(creative(X)<~>~generous(X))))&
(![X]:(tall(X)=>(brave(X)|generous(X))))&
(![X]:((~curious(X)|~patient(X))=>happy(X)))&
(![X... | generous(mary) | [] | null | 0 |
If fred is not happy or not generous then someone is both not humble and brave and vice versa.
Everyone who is either rich or not happy is both not patient and generous and vice versa.
Everyone who is either patient or funny is either not generous or rich and vice versa.
Everyone who is both not strong and not happy is... | Alice is not calm. | contradiction | (((~happy(fred)|~generous(fred)))<=>(?[X]:((~humble(X)&brave(X)))))&
(![X]:((rich(X)<~>~happy(X))<=>(~patient(X)&generous(X))))&
(![X]:((patient(X)<~>funny(X))<=>(~generous(X)<~>rich(X))))&
(![X]:((~strong(X)&~happy(X))=>(~quiet(X)&tall(X))))&
(![X]:(rich(X)=>calm(X)))&
((?[X]:((~kind(X)&curious(X))))<=>(?[X]:((strong(... | ~calm(alice) | [
"p4",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 334565716757684471612756
% SZS output start Proof for 334565716757684471612756
5. ! [X0] : (rich(X0) => calm(X0)) [input p4]
10. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~curious(X0)) [input p9]
15. ! [X0] : ((~generous(X0) | tall(X0)) <=> generous(X0)) [input p14]
16. ? [X0] : (~curious(X0)... | 0 |
Everyone who is creative or generous is kind and vice versa. Everyone who is not curious or not tall is both wise and not calm and vice versa. Everyone who is either not wise or not creative is not kind. If lucy is either humble or not generous then someone is either not calm or not generous. Everyone who is tall or no... | Lucy is not curious. | neutral | (![X]:((creative(X)|generous(X))<=>kind(X)))&
(![X]:((~curious(X)|~tall(X))<=>(wise(X)&~calm(X))))&
(![X]:((~wise(X)<~>~creative(X))=>~kind(X)))&
(((humble(lucy)<~>~generous(lucy)))=>(?[X]:((~calm(X)<~>~generous(X)))))&
(![X]:((tall(X)|~wise(X))<=>(~generous(X)&funny(X))))&
(![X]:((~generous(X)|wise(X))=>(~tall(X)|quie... | ~curious(lucy) | [] | null | 0 |
If paul is creative then someone is both strong and not patient.
If someone is both calm and generous then someone is both not humble and patient.
If paul is rich then someone is either strong or not happy and vice versa.
Everyone who is not curious or not generous is generous and vice versa.
Everyone who is both not k... | Fred is not curious. | entailment | ((creative(paul))=>(?[X]:((strong(X)&~patient(X)))))&
((?[X]:((calm(X)&generous(X))))=>(?[X]:((~humble(X)&patient(X)))))&
((rich(paul))<=>(?[X]:((strong(X)<~>~happy(X)))))&
(![X]:((~curious(X)|~generous(X))<=>generous(X)))&
(![X]:((~kind(X)&~strong(X))=>(~creative(X)|wise(X))))&
(![X]:(humble(X)=>quiet(X)))&
(((calm(lu... | ~curious(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1066043573376189264167944
% SZS output start Proof for 1066043573376189264167944
4. ! [X0] : ((~generous(X0) | ~curious(X0)) <=> generous(X0)) [input p3]
23. curious(fred) [input hypothesis]
48. ! [X0] : (((~generous(X0) | ~curious(X0)) | ~generous(X0)) & (generous(X0) | (generous(X0) & c... | 0 |
If john is generous then someone is not old and vice versa.
If someone is either rich or wise then someone is not funny.
Everyone who is funny or curious is both tall and not strong and vice versa.
If someone is either not tall or not curious then someone is quiet and vice versa.
If someone is old or not funny then sus... | Susan is wise. | neutral | ((generous(john))<=>(?[X]:(~old(X))))&
((?[X]:((rich(X)<~>wise(X))))=>(?[X]:(~funny(X))))&
(![X]:((funny(X)|curious(X))<=>(tall(X)&~strong(X))))&
((?[X]:((~tall(X)<~>~curious(X))))<=>(?[X]:(quiet(X))))&
((?[X]:((old(X)|~funny(X))))<=>(~happy(susan)))&
((rich(alice))=>((~curious(mary)<~>creative(mary))))&
((?[X]:(~creat... | wise(susan) | [] | null | 0 |
Everyone who is either happy or patient is either not strong or not quiet. If someone is not creative then someone is either tall or funny. If someone is both funny and strong then alice is both quiet and not curious and vice versa. If someone is not old then someone is curious and vice versa. Everyone who is kind is n... | Susan is not kind. | entailment | (![X]:((happy(X)<~>patient(X))=>(~strong(X)<~>~quiet(X))))&
((?[X]:(~creative(X)))=>(?[X]:((tall(X)<~>funny(X)))))&
((?[X]:((funny(X)&strong(X))))<=>((quiet(alice)&~curious(alice))))&
((?[X]:(~old(X)))<=>(?[X]:(curious(X))))&
(![X]:(kind(X)=>~kind(X)))&
((?[X]:((~curious(X)<~>quiet(X))))<=>(?[X]:((tall(X)|brave(X)))))&... | ~kind(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4008463665517463393596529
% SZS output start Proof for 4008463665517463393596529
5. ! [X0] : (kind(X0) => ~kind(X0)) [input p4]
21. kind(susan) [input hypothesis]
30. ! [X0] : (~kind(X0) | ~kind(X0)) [ennf transformation 5]
96. ~kind(X0) | ~kind(X0) [cnf transformation 30]
143. kind(susan... | 0 |
If john is either tall or kind then susan is not happy.
If alice is not kind or not creative then susan is not strong or wise and vice versa.
Everyone who is wise or not funny is either humble or not funny and vice versa.
If someone is both wise and not old then fred is both not old and humble and vice versa.
Everyone ... | Fred is humble. | contradiction | (((tall(john)<~>kind(john)))=>(~happy(susan)))&
(((~kind(alice)|~creative(alice)))<=>((~strong(susan)|wise(susan))))&
(![X]:((wise(X)|~funny(X))<=>(humble(X)<~>~funny(X))))&
((?[X]:((wise(X)&~old(X))))<=>((~old(fred)&humble(fred))))&
(![X]:(~funny(X)=>wise(X)))&
((?[X]:((~humble(X)&~strong(X))))=>(?[X]:((~tall(X)|~stro... | humble(fred) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1065225935573828693822520
% SZS output start Proof for 1065225935573828693822520
3. ! [X0] : ((~funny(X0) | wise(X0)) <=> (humble(X0) <~> ~funny(X0))) [input p2]
16. ! [X0] : ((kind(X0) <~> funny(X0)) <=> kind(X0)) [input p15]
24. humble(fred) [input hypothesis]
42. ! [X0] : (((~funny(X0)... | 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 either tall or kind is not tall. If paul is both not strong and generous then someone is either curious or not patient and vice versa. If john is either calm or generous then someone is quiet or tall and vice versa. If someone is both not calm and patient then paul is not tall. Everyone who is both not ... | Fred is not strong. | entailment | (![X]:((tall(X)<~>kind(X))=>~tall(X)))&
(((~strong(paul)&generous(paul)))<=>(?[X]:((curious(X)<~>~patient(X)))))&
(((calm(john)<~>generous(john)))<=>(?[X]:((quiet(X)|tall(X)))))&
((?[X]:((~calm(X)&patient(X))))=>(~tall(paul)))&
(![X]:((~funny(X)&creative(X))=>(happy(X)|~happy(X))))&
((?[X]:((generous(X)<~>~quiet(X))))<... | ~strong(fred) | [
"p8",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 471285393189264734212794
% SZS output start Proof for 471285393189264734212794
9. ! [X0] : ((creative(X0) <~> ~rich(X0)) => (~wise(X0) & quiet(X0))) [input p8]
14. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (~funny(X0) & quiet(X0))) [input p13]
16. ! [X0] : ((rich(X0) | ~wise(X0)) => (~cur... | 0 |
Everyone who is not old is rich or patient and vice versa.
Everyone who is both creative and old is both strong and happy.
If someone is not creative or strong then someone is either not funny or tall and vice versa.
Everyone who is not strong or not old is strong or not old.
Everyone who is both quiet and tall is eith... | Paul is not wise. | neutral | (![X]:(~old(X)<=>(rich(X)|patient(X))))&
(![X]:((creative(X)&old(X))=>(strong(X)&happy(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((~funny(X)<~>tall(X)))))&
(![X]:((~strong(X)|~old(X))=>(strong(X)|~old(X))))&
(![X]:((quiet(X)&tall(X))<=>(happy(X)<~>~rich(X))))&
(![X]:((~tall(X)|funny(X))=>(~happy(X)<~>~wise(X)))... | ~wise(paul) | [] | null | 0 |
Everyone who is either old or calm is quiet or not tall and vice versa.
If lucy is strong then susan is both curious and patient and vice versa.
Everyone who is either curious or not strong is either not funny or not calm and vice versa.
Everyone who is creative or wise is both brave and not generous and vice versa.
If... | Lucy is not generous. | neutral | (![X]:((old(X)<~>calm(X))<=>(quiet(X)|~tall(X))))&
((strong(lucy))<=>((curious(susan)&patient(susan))))&
(![X]:((curious(X)<~>~strong(X))<=>(~funny(X)<~>~calm(X))))&
(![X]:((creative(X)|wise(X))<=>(brave(X)&~generous(X))))&
(((curious(mary)&~quiet(mary)))=>(?[X]:((old(X)|~strong(X)))))&
(((~tall(lucy)<~>tall(lucy)))<=>... | ~generous(lucy) | [] | null | 0 |
If lucy is kind or not generous then someone is both wise and not brave and vice versa. Everyone who is not curious is funny and vice versa. Everyone who is both generous and kind is both not wise and not old and vice versa. If mary is either tall or quiet then someone is both not old and not quiet. Everyone who is eit... | Fred is not curious. | entailment | (((kind(lucy)|~generous(lucy)))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|kind(X))))&
(![X]:((~brave(X)|curious(X))<=>~curious(X)))&
((?... | ~curious(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 232297399622113440262198
% SZS output start Proof for 232297399622113440262198
6. ! [X0] : ((curious(X0) | ~brave(X0)) <=> ~curious(X0)) [input p5]
23. curious(fred) [input hypothesis]
46. ! [X0] : (((curious(X0) | ~brave(X0)) | curious(X0)) & (~curious(X0) | (~curious(X0) & brave(X0)))) ... | 0 |
Everyone who is not rich or not tall is not humble or not creative. Everyone who is either not wise or creative is rich or quiet. Everyone who is not brave or humble is either brave or not curious and vice versa. Everyone who is either not quiet or not humble is either funny or not creative and vice versa. If someone i... | Susan is funny. | contradiction | (![X]:((~rich(X)|~tall(X))=>(~humble(X)|~creative(X))))&
(![X]:((~wise(X)<~>creative(X))=>(rich(X)|quiet(X))))&
(![X]:((~brave(X)|humble(X))<=>(brave(X)<~>~curious(X))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(funny(X)<~>~creative(X))))&
((?[X]:((humble(X)<~>~old(X))))<=>((brave(lucy)&generous(lucy))))&
(![X]:((~strong(X)&... | funny(susan) | [
"p3",
"p10",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 208529042216129761230550
% SZS output start Proof for 208529042216129761230550
4. ! [X0] : ((~quiet(X0) <~> ~humble(X0)) <=> (funny(X0) <~> ~creative(X0))) [input p3]
11. ! [X0] : ((~calm(X0) & creative(X0)) <=> (old(X0) <~> ~old(X0))) [input p10]
13. ? [X0] : (calm(X0) | ~tall(X0)) => (s... | 0 |
If mary is brave then paul is funny. Everyone who is not calm or kind is either not calm or not wise and vice versa. Everyone who is both strong and not generous is both rich and generous. Everyone who is not rich or not generous is both not calm and generous. Everyone who is not humble is both kind and tall. If someon... | Mary is not wise. | entailment | ((brave(mary))=>(funny(paul)))&
(![X]:((~calm(X)|kind(X))<=>(~calm(X)<~>~wise(X))))&
(![X]:((strong(X)&~generous(X))=>(rich(X)&generous(X))))&
(![X]:((~rich(X)|~generous(X))=>(~calm(X)&generous(X))))&
(![X]:(~humble(X)=>(kind(X)&tall(X))))&
((?[X]:((kind(X)&~old(X))))=>(?[X]:((rich(X)|tall(X)))))&
(![X]:((~brave(X)|gen... | ~wise(mary) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8833846706329433923876466
% SZS output start Proof for 8833846706329433923876466
4. ! [X0] : ((~generous(X0) | ~rich(X0)) => (generous(X0) & ~calm(X0))) [input p3]
7. ! [X0] : ((generous(X0) | ~brave(X0)) <=> (~funny(X0) & ~wise(X0))) [input p6]
20. wise(mary) [input hypothesis]
28. ! [X0... | 0 |
If someone is humble or rich then john is either old or patient and vice versa. If someone is either not strong or happy then paul is both funny and not brave. Everyone who is both not humble and not calm is either rich or humble. If someone is either not calm or not wise then someone is strong or wise and vice versa. ... | Lucy is strong. | neutral | ((?[X]:((humble(X)|rich(X))))<=>((old(john)<~>patient(john))))&
((?[X]:((~strong(X)<~>happy(X))))=>((funny(paul)&~brave(paul))))&
(![X]:((~humble(X)&~calm(X))=>(rich(X)<~>humble(X))))&
((?[X]:((~calm(X)<~>~wise(X))))<=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((~calm(X)|happy(X))<=>~humble(X)))&
(![X]:((~funny(X)<~>calm(X)... | strong(lucy) | [] | null | 0 |
Everyone who is rich or not patient is strong or not generous.
Everyone who is both not kind and rich is not patient or not rich and vice versa.
Everyone who is not quiet is not funny and vice versa.
Everyone who is tall is not curious or not patient and vice versa.
Everyone who is not curious or brave is not curious o... | Lucy is happy. | contradiction | (![X]:((rich(X)|~patient(X))=>(strong(X)|~generous(X))))&
(![X]:((~kind(X)&rich(X))<=>(~patient(X)|~rich(X))))&
(![X]:(~quiet(X)<=>~funny(X)))&
(![X]:(tall(X)<=>(~curious(X)|~patient(X))))&
(![X]:((~curious(X)|brave(X))=>(~curious(X)|rich(X))))&
((?[X]:((~tall(X)&calm(X))))<=>((creative(john)&~happy(john))))&
(![X]:((f... | happy(lucy) | [
"p2",
"p3",
"p6",
"p7",
"p8",
"p10",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 794057865838752601921804
% SZS output start Proof for 794057865838752601921804
3. ! [X0] : (~quiet(X0) <=> ~funny(X0)) [input p2]
4. ! [X0] : (tall(X0) <=> (~patient(X0) | ~curious(X0))) [input p3]
7. ! [X0] : ((~old(X0) | funny(X0)) <=> (brave(X0) | ~patient(X0))) [input p6]
8. ? [X0] : ... | 0 |
If someone is both patient and not calm then mary is either not patient or kind.
If fred is either strong or not rich then mary is both not rich and quiet and vice versa.
Everyone who is not calm is not generous and vice versa.
Everyone who is not kind is both not rich and not calm and vice versa.
Everyone who is quiet... | Fred is not quiet. | entailment | ((?[X]:((patient(X)&~calm(X))))=>((~patient(mary)<~>kind(mary))))&
(((strong(fred)<~>~rich(fred)))<=>((~rich(mary)&quiet(mary))))&
(![X]:(~calm(X)<=>~generous(X)))&
(![X]:(~kind(X)<=>(~rich(X)&~calm(X))))&
(![X]:(quiet(X)=>(~old(X)&rich(X))))&
(((~calm(lucy)&generous(lucy)))=>(?[X]:((happy(X)&~humble(X)))))&
(![X]:(~qu... | ~quiet(fred) | [
"p4",
"p11",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1718627277081901036387286
% SZS output start Proof for 1718627277081901036387286
5. ! [X0] : (quiet(X0) => (rich(X0) & ~old(X0))) [input p4]
12. ! [X0] : ((creative(X0) & humble(X0)) <=> rich(X0)) [input p11]
20. ~brave(fred) | ~quiet(fred) [input p19]
24. ~humble(fred) <~> brave(fred) [i... | 0 |
Everyone who is either old or generous is either not rich or happy.
If susan is either quiet or rich then someone is both strong and happy.
Everyone who is not kind or not patient is not old or not tall.
If someone is both not strong and not calm then alice is both not happy and happy and vice versa.
Everyone who is ei... | John is not brave. | neutral | (![X]:((old(X)<~>generous(X))=>(~rich(X)<~>happy(X))))&
(((quiet(susan)<~>rich(susan)))=>(?[X]:((strong(X)&happy(X)))))&
(![X]:((~kind(X)|~patient(X))=>(~old(X)|~tall(X))))&
((?[X]:((~strong(X)&~calm(X))))<=>((~happy(alice)&happy(alice))))&
(![X]:((curious(X)<~>~funny(X))=>~creative(X)))&
(((~tall(susan)|curious(susan)... | ~brave(john) | [] | null | 0 |
If someone is calm then someone is strong or humble and vice versa.
If someone is both calm and humble then someone is either rich or not quiet.
If someone is both kind and not patient then someone is both tall and not old.
If someone is not generous or generous then fred is either rich or not patient and vice versa.
E... | Fred is not old. | entailment | ((?[X]:(calm(X)))<=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((kind(X)&~patient(X))))=>(?[X]:((tall(X)&~old(X)))))&
((?[X]:((~generous(X)|generous(X))))<=>((rich(fred)<~>~patient(fred))))&
(![X]:((~old(X)&~strong(X))<=>(~rich(X)|strong(X))))&
((?[X]:(wise(X... | ~old(fred) | [
"p0",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 602338909329355642923164
% SZS output start Proof for 602338909329355642923164
1. ? [X0] : calm(X0) <=> ? [X0] : (humble(X0) | strong(X0)) [input p0]
7. ! [X0] : (~humble(X0) <=> (wise(X0) & ~old(X0))) [input p6]
12. ! [X0] : (~brave(X0) => (~brave(X0) & ~calm(X0))) [input p11]
13. ! [X0]... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa. If john is rich then someone is not creative or not brave and vice versa. Everyone who is both not calm and wise is both not strong and curious and vice versa. If alice is both strong and old then susan is calm. Everyone who is both ge... | Susan is not kind. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
((rich(john))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:((~calm(X)&wise(X))<=>(~strong(X)&curious(X))))&
(((strong(alice)&old(alice)))=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((ta... | ~kind(susan) | [
"p0",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6625594589858815591592104
% SZS output start Proof for 6625594589858815591592104
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
6. ! [X0] : ((~kind(X0) <~> tall(X0)) <=> (~strong(X0) <~> tall(X0))) [input p5]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~t... | 0 |
Everyone who is both rich and wise is both tall and rich. If paul is not patient then fred is both not kind and not patient. If someone is funny or strong then someone is both creative and not creative and vice versa. Everyone who is not curious is not tall and vice versa. Everyone who is patient is not rich or not kin... | Lucy is not patient. | neutral | (![X]:((rich(X)&wise(X))=>(tall(X)&rich(X))))&
((~patient(paul))=>((~kind(fred)&~patient(fred))))&
((?[X]:((funny(X)|strong(X))))<=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:(~curious(X)<=>~tall(X)))&
(![X]:(patient(X)=>(~rich(X)|~kind(X))))&
((rich(paul))=>(?[X]:((creative(X)<~>tall(X)))))&
(![X]:((~quiet(X)|~old(X)... | ~patient(lucy) | [] | null | 0 |
Everyone who is not quiet or kind is creative and vice versa.
If john is both wise and humble then susan is both wise and not quiet.
Everyone who is not patient or funny is funny or tall.
Everyone who is both calm and not creative is either curious or not quiet.
Everyone who is happy is not quiet or tall.
If someone is... | Mary is happy. | neutral | (![X]:((~quiet(X)|kind(X))<=>creative(X)))&
(((wise(john)&humble(john)))=>((wise(susan)&~quiet(susan))))&
(![X]:((~patient(X)|funny(X))=>(funny(X)|tall(X))))&
(![X]:((calm(X)&~creative(X))=>(curious(X)<~>~quiet(X))))&
(![X]:(happy(X)=>(~quiet(X)|tall(X))))&
((?[X]:((old(X)|calm(X))))=>((brave(lucy)&~calm(lucy))))&
((?[... | happy(mary) | [] | null | 0 |
Everyone who is wise is not calm and vice versa. If john is curious or brave then fred is patient or not calm and vice versa. If john is not calm or old then susan is either generous or not funny. If paul is not funny or tall then someone is both quiet and not generous. Everyone who is either not funny or old is brave.... | Lucy is not quiet. | entailment | (![X]:(wise(X)<=>~calm(X)))&
(((curious(john)|brave(john)))<=>((patient(fred)|~calm(fred))))&
(((~calm(john)|old(john)))=>((generous(susan)<~>~funny(susan))))&
(((~funny(paul)|tall(paul)))=>(?[X]:((quiet(X)&~generous(X)))))&
(![X]:((~funny(X)<~>old(X))=>brave(X)))&
(![X]:((~brave(X)|~old(X))=>(~creative(X)<~>old(X))))&... | ~quiet(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4429847108231960621659711
% SZS output start Proof for 4429847108231960621659711
17. ~brave(lucy) & ~quiet(lucy) [input p16]
25. quiet(lucy) [input hypothesis]
117. ~quiet(lucy) [cnf transformation 17]
127. quiet(lucy) [cnf transformation 25]
269. $false [subsumption resolution 127,117]
%... | 0 |
If fred is not calm then someone is funny or not strong and vice versa.
Everyone who is both rich and wise is not humble and vice versa.
Everyone who is curious is both patient and creative and vice versa.
If john is tall or not curious then someone is both not patient and quiet.
If someone is either not patient or cal... | John is not strong. | neutral | ((~calm(fred))<=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((rich(X)&wise(X))<=>~humble(X)))&
(![X]:(curious(X)<=>(patient(X)&creative(X))))&
(((tall(john)|~curious(john)))=>(?[X]:((~patient(X)&quiet(X)))))&
((?[X]:((~patient(X)<~>calm(X))))<=>((~funny(alice)<~>~happy(alice))))&
(![X]:((rich(X)|humble(X))<=>old(X)))&
(![X... | ~strong(john) | [] | null | 0 |
Everyone who is either not patient or kind is strong and vice versa. Everyone who is not patient or not happy is both calm and rich and vice versa. Everyone who is both not rich and not curious is either tall or not kind. Everyone who is not rich is either patient or happy. Everyone who is both humble and quiet is both... | Mary is humble. | neutral | (![X]:((~patient(X)<~>kind(X))<=>strong(X)))&
(![X]:((~patient(X)|~happy(X))<=>(calm(X)&rich(X))))&
(![X]:((~rich(X)&~curious(X))=>(tall(X)<~>~kind(X))))&
(![X]:(~rich(X)=>(patient(X)<~>happy(X))))&
(![X]:((humble(X)&quiet(X))=>(~creative(X)&~tall(X))))&
(![X]:((creative(X)&~rich(X))=>(~old(X)<~>~brave(X))))&
((?[X]:(c... | humble(mary) | [] | null | 0 |
Everyone who is funny is both strong and tall and vice versa.
Everyone who is both quiet and not funny is curious or not funny.
Everyone who is calm is both not humble and generous.
Everyone who is not brave or tall is either not brave or calm.
If someone is not tall or wise then lucy is both curious and not curious an... | Susan is not strong. | entailment | (![X]:(funny(X)<=>(strong(X)&tall(X))))&
(![X]:((quiet(X)&~funny(X))=>(curious(X)|~funny(X))))&
(![X]:(calm(X)=>(~humble(X)&generous(X))))&
(![X]:((~brave(X)|tall(X))=>(~brave(X)<~>calm(X))))&
((?[X]:((~tall(X)|wise(X))))<=>((curious(lucy)&~curious(lucy))))&
(![X]:((~old(X)<~>calm(X))<=>(~curious(X)&humble(X))))&
(((cr... | ~strong(susan) | [
"p0",
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 323580463034473795728976
% SZS output start Proof for 323580463034473795728976
1. ! [X0] : (funny(X0) <=> (tall(X0) & strong(X0))) [input p0]
5. ? [X0] : (wise(X0) | ~tall(X0)) <=> (~curious(lucy) & curious(lucy)) [input p4]
18. ~strong(susan) | ~funny(susan) [input p17]
23. strong(susan)... | 0 |
Everyone who is not brave or not calm is either calm or quiet and vice versa.
If paul is not rich then someone is not brave or not calm.
Everyone who is not rich or not generous is both humble and calm.
If alice is either not funny or calm then someone is either brave or creative and vice versa.
If someone is quiet the... | John is curious. | contradiction | (![X]:((~brave(X)|~calm(X))<=>(calm(X)<~>quiet(X))))&
((~rich(paul))=>(?[X]:((~brave(X)|~calm(X)))))&
(![X]:((~rich(X)|~generous(X))=>(humble(X)&calm(X))))&
(((~funny(alice)<~>calm(alice)))<=>(?[X]:((brave(X)<~>creative(X)))))&
((?[X]:(quiet(X)))=>(?[X]:((quiet(X)|~strong(X)))))&
(![X]:((~happy(X)<~>tall(X))<=>(~calm(X... | curious(john) | [
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5333020816133258667129113
% SZS output start Proof for 5333020816133258667129113
11. ! [X0] : ((patient(X0) <~> calm(X0)) <=> (calm(X0) <~> funny(X0))) [input p10]
12. ? [X0] : (~strong(X0) & ~patient(X0)) <=> (wise(john) & ~curious(john)) [input p11]
21. ~funny(lucy) & ~strong(lucy) [inp... | 0 |
Everyone who is both curious and funny is not calm or not generous and vice versa. Everyone who is both not old and not strong is either not happy or not old and vice versa. If someone is both not quiet and not wise then someone is both rich and not curious and vice versa. If someone is humble or curious then fred is e... | Alice is not patient. | entailment | (![X]:((curious(X)&funny(X))<=>(~calm(X)|~generous(X))))&
(![X]:((~old(X)&~strong(X))<=>(~happy(X)<~>~old(X))))&
((?[X]:((~quiet(X)&~wise(X))))<=>(?[X]:((rich(X)&~curious(X)))))&
((?[X]:((humble(X)|curious(X))))<=>((curious(fred)<~>~curious(fred))))&
(![X]:(old(X)<=>(rich(X)&~humble(X))))&
(![X]:((wise(X)|creative(X))=... | ~patient(alice) | [
"p4",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4237962967735270868349803
% SZS output start Proof for 4237962967735270868349803
5. ! [X0] : (old(X0) <=> (~humble(X0) & rich(X0))) [input p4]
6. ! [X0] : ((creative(X0) | wise(X0)) => (~patient(X0) & ~quiet(X0))) [input p5]
8. ! [X0] : ((patient(X0) <~> humble(X0)) <=> ~wise(X0)) [input ... | 0 |
Everyone who is curious or strong is not happy or not calm and vice versa.
Everyone who is either not strong or not tall is not rich and vice versa.
Everyone who is rich is humble and vice versa.
Everyone who is quiet is not calm or patient.
Everyone who is both calm and generous is both not humble and brave.
Everyone ... | Lucy is not patient. | contradiction | (![X]:((curious(X)|strong(X))<=>(~happy(X)|~calm(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>~rich(X)))&
(![X]:(rich(X)<=>humble(X)))&
(![X]:(quiet(X)=>(~calm(X)|patient(X))))&
(![X]:((calm(X)&generous(X))=>(~humble(X)&brave(X))))&
(![X]:((~wise(X)|curious(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(~rich... | ~patient(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7309638799933113357719664
% SZS output start Proof for 7309638799933113357719664
1. ! [X0] : ((strong(X0) | curious(X0)) <=> (~calm(X0) | ~happy(X0))) [input p0]
2. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> ~rich(X0)) [input p1]
4. ! [X0] : (quiet(X0) => (patient(X0) | ~calm(X0))) [input ... | 0 |
Everyone who is not strong or not old is both not creative and not happy and vice versa.
Everyone who is both not happy and tall is either calm or quiet and vice versa.
Everyone who is either happy or calm is either not old or not happy and vice versa.
If someone is both funny and creative then fred is either not patie... | Lucy is not happy. | entailment | (![X]:((~strong(X)|~old(X))<=>(~creative(X)&~happy(X))))&
(![X]:((~happy(X)&tall(X))<=>(calm(X)<~>quiet(X))))&
(![X]:((happy(X)<~>calm(X))<=>(~old(X)<~>~happy(X))))&
((?[X]:((funny(X)&creative(X))))=>((~patient(fred)<~>~happy(fred))))&
(![X]:((~curious(X)|~brave(X))=>(wise(X)<~>~rich(X))))&
((?[X]:(curious(X)))=>(?[X]:... | ~happy(lucy) | [
"p0",
"p2",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2339408190714989319413402
% SZS output start Proof for 2339408190714989319413402
1. ! [X0] : ((~old(X0) | ~strong(X0)) <=> (~happy(X0) & ~creative(X0))) [input p0]
3. ! [X0] : ((happy(X0) <~> calm(X0)) <=> (~old(X0) <~> ~happy(X0))) [input p2]
7. ! [X0] : ((happy(X0) | ~calm(X0)) => (~ric... | 0 |
Everyone who is not creative or calm is either wise or not tall and vice versa. If someone is either not funny or not patient then someone is not quiet and vice versa. If someone is not old or calm then someone is either rich or patient and vice versa. If alice is both not creative and not humble then someone is both n... | Lucy is quiet. | entailment | (![X]:((~creative(X)|calm(X))<=>(wise(X)<~>~tall(X))))&
((?[X]:((~funny(X)<~>~patient(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((~old(X)|calm(X))))<=>(?[X]:((rich(X)<~>patient(X)))))&
(((~creative(alice)&~humble(alice)))=>(?[X]:((~tall(X)&strong(X)))))&
((?[X]:((~calm(X)&~rich(X))))<=>((creative(mary)|calm(mary))))&
((?[X]:... | quiet(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3737534822465469366887927
% SZS output start Proof for 3737534822465469366887927
7. (~wise(john) & wise(john)) <=> (~quiet(lucy) | ~curious(lucy)) [input p6]
25. ~quiet(lucy) [input hypothesis]
60. ((~wise(john) & wise(john)) | (quiet(lucy) & curious(lucy))) & ((~quiet(lucy) | ~curious(lu... | 0 |
Everyone who is not generous or not strong is generous and vice versa.
Everyone who is not brave or funny is not humble and vice versa.
Everyone who is wise or not kind is either patient or not funny.
If someone is wise then mary is either strong or not happy.
If someone is not patient then mary is tall.
If lucy is not... | Paul is tall. | entailment | (![X]:((~generous(X)|~strong(X))<=>generous(X)))&
(![X]:((~brave(X)|funny(X))<=>~humble(X)))&
(![X]:((wise(X)|~kind(X))=>(patient(X)<~>~funny(X))))&
((?[X]:(wise(X)))=>((strong(mary)<~>~happy(mary))))&
((?[X]:(~patient(X)))=>(tall(mary)))&
((~humble(lucy))=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:((~funny(X)<~>~happy(X)... | tall(paul) | [
"p0",
"p1",
"p6",
"p7",
"p8",
"p9",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5101962602549644871651459
% SZS output start Proof for 5101962602549644871651459
1. ! [X0] : ((~strong(X0) | ~generous(X0)) <=> generous(X0)) [input p0]
2. ! [X0] : ((funny(X0) | ~brave(X0)) <=> ~humble(X0)) [input p1]
7. ! [X0] : ((~funny(X0) <~> ~happy(X0)) <=> (~brave(X0) <~> ~funny(X0... | 0 |
Everyone who is both not strong and strong is calm and vice versa. If fred is either not rich or not patient then fred is both quiet and not brave. If someone is not happy or funny then mary is either not brave or curious. Everyone who is both calm and wise is either rich or wise and vice versa. If paul is not humble t... | Mary is not kind. | entailment | (![X]:((~strong(X)&strong(X))<=>calm(X)))&
(((~rich(fred)<~>~patient(fred)))=>((quiet(fred)&~brave(fred))))&
((?[X]:((~happy(X)|funny(X))))=>((~brave(mary)<~>curious(mary))))&
(![X]:((calm(X)&wise(X))<=>(rich(X)<~>wise(X))))&
((~humble(paul))=>(?[X]:((~curious(X)&brave(X)))))&
(![X]:((~brave(X)|patient(X))<=>(patient(X... | ~kind(mary) | [
"p0",
"p3",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 756337859553481986522420
% SZS output start Proof for 756337859553481986522420
1. ! [X0] : ((strong(X0) & ~strong(X0)) <=> calm(X0)) [input p0]
4. ! [X0] : ((wise(X0) & calm(X0)) <=> (rich(X0) <~> wise(X0))) [input p3]
6. ! [X0] : ((patient(X0) | ~brave(X0)) <=> (~kind(X0) & patient(X0)))... | 0 |
Everyone who is not brave is either not generous or strong and vice versa.
If someone is not calm then lucy is both not wise and not creative.
Everyone who is old or not kind is both not curious and not generous.
Everyone who is both kind and tall is either brave or old.
Everyone who is both not creative and not humble... | Paul is not calm. | contradiction | (![X]:(~brave(X)<=>(~generous(X)<~>strong(X))))&
((?[X]:(~calm(X)))=>((~wise(lucy)&~creative(lucy))))&
(![X]:((old(X)|~kind(X))=>(~curious(X)&~generous(X))))&
(![X]:((kind(X)&tall(X))=>(brave(X)<~>old(X))))&
(![X]:((~creative(X)&~humble(X))<=>(~strong(X)&~rich(X))))&
(![X]:((humble(X)<~>tall(X))<=>quiet(X)))&
(((patien... | ~calm(paul) | [
"p1",
"p5",
"p9",
"p10",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 32058764238386452369099
% SZS output start Proof for 32058764238386452369099
2. ? [X0] : ~calm(X0) => (~creative(lucy) & ~wise(lucy)) [input p1]
6. ! [X0] : ((humble(X0) <~> tall(X0)) <=> quiet(X0)) [input p5]
10. ! [X0] : ((~brave(X0) | brave(X0)) <=> ~brave(X0)) [input p9]
11. ! [X0] : ... | 0 |
Everyone who is either not curious or generous is humble and vice versa. Everyone who is old is either happy or not creative. Everyone who is both old and not happy is generous or not rich and vice versa. If someone is not patient then someone is both wise and creative and vice versa. If john is not funny then someone ... | Susan is not calm. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((wise(X)&creative(X)))))&
((~funny(john))<=>(?[X]:((kind(X)|happy(X)))))&
((?[X]:((happy(X)|funny(X))))=>(?[X]:((~funny(X)|happy(X)))))&
((~b... | ~calm(susan) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 393616950475481733974826
% SZS output start Proof for 393616950475481733974826
14. ! [X0] : (curious(X0) <=> (calm(X0) & tall(X0))) [input p13]
15. ! [X0] : ((~calm(X0) | patient(X0)) <=> curious(X0)) [input p14]
24. ~calm(susan) [input hypothesis]
63. ! [X0] : ((curious(X0) | (~calm(X0) ... | 0 |
If john is both humble and funny then john is either not generous or not humble. If someone is not brave then lucy is both not curious and not kind and vice versa. Everyone who is both rich and not creative is quiet and vice versa. If mary is either not creative or patient then someone is both not rich and not humble a... | Paul is brave. | contradiction | (((humble(john)&funny(john)))=>((~generous(john)<~>~humble(john))))&
((?[X]:(~brave(X)))<=>((~curious(lucy)&~kind(lucy))))&
(![X]:((rich(X)&~creative(X))<=>quiet(X)))&
(((~creative(mary)<~>patient(mary)))<=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:((~wise(X)|calm(X))))<=>((tall(paul)&generous(paul))))&
((curious(mary))<... | brave(paul) | [
"p4",
"p7",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8937480522938954399136302
% SZS output start Proof for 8937480522938954399136302
5. ? [X0] : (calm(X0) | ~wise(X0)) <=> (generous(paul) & tall(paul)) [input p4]
8. ? [X0] : (~calm(X0) <~> old(X0)) <=> (kind(alice) & patient(alice)) [input p7]
13. ! [X0] : ((~patient(X0) & curious(X0)) <=>... | 0 |
Everyone who is either not patient or not happy is patient or not quiet.
Everyone who is not tall is patient or tall.
Everyone who is either quiet or generous is both not rich and not funny.
Everyone who is either not strong or patient is humble or wise and vice versa.
If lucy is both quiet and not quiet then susan is ... | Alice is patient. | neutral | (![X]:((~patient(X)<~>~happy(X))=>(patient(X)|~quiet(X))))&
(![X]:(~tall(X)=>(patient(X)|tall(X))))&
(![X]:((quiet(X)<~>generous(X))=>(~rich(X)&~funny(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)|wise(X))))&
(((quiet(lucy)&~quiet(lucy)))<=>(curious(susan)))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~brave(X)<~>~creativ... | patient(alice) | [] | null | 0 |
If alice is both tall and funny then someone is not funny and vice versa.
If lucy is generous then lucy is old or happy.
If someone is happy then lucy is both not rich and kind.
Everyone who is not rich is either patient or not strong and vice versa.
Everyone who is not happy or humble is quiet or not funny.
Everyone w... | Alice is not rich. | entailment | (((tall(alice)&funny(alice)))<=>(?[X]:(~funny(X))))&
((generous(lucy))=>((old(lucy)|happy(lucy))))&
((?[X]:(happy(X)))=>((~rich(lucy)&kind(lucy))))&
(![X]:(~rich(X)<=>(patient(X)<~>~strong(X))))&
(![X]:((~happy(X)|humble(X))=>(quiet(X)|~funny(X))))&
(![X]:((patient(X)|~kind(X))<=>old(X)))&
(![X]:(happy(X)=>(patient(X)|... | ~rich(alice) | [
"p0",
"p3",
"p5",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 158700121900681033485602
% SZS output start Proof for 158700121900681033485602
1. (funny(alice) & tall(alice)) <=> ? [X0] : ~funny(X0) [input p0]
4. ! [X0] : (~rich(X0) <=> (patient(X0) <~> ~strong(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | patient(X0)) <=> old(X0)) [input p5]
14. ! [X0] ... | 0 |
If susan is happy then someone is old or not rich and vice versa. If someone is not brave then susan is not quiet. Everyone who is not rich is either not humble or not patient. If fred is both generous and happy then fred is generous and vice versa. Everyone who is old is not tall. If someone is both not curious and no... | Alice is not old. | entailment | ((happy(susan))<=>(?[X]:((old(X)|~rich(X)))))&
((?[X]:(~brave(X)))=>(~quiet(susan)))&
(![X]:(~rich(X)=>(~humble(X)<~>~patient(X))))&
(((generous(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:(old(X)=>~tall(X)))&
((?[X]:((~curious(X)&~quiet(X))))=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((~generous(X)<~>~kind(X))=>(humble... | ~old(alice) | [
"p0",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2740339626633555189587168
% SZS output start Proof for 2740339626633555189587168
1. happy(susan) <=> ? [X0] : (~rich(X0) | old(X0)) [input p0]
23. ~happy(susan) & ~funny(susan) [input p22]
25. old(alice) [input hypothesis]
40. (happy(susan) | ! [X0] : (rich(X0) & ~old(X0))) & (? [X0] : (~... | 0 |
If alice is kind or not creative then john is tall. Everyone who is either patient or not old is either old or not calm and vice versa. Everyone who is not kind or calm is both kind and not curious and vice versa. Everyone who is both generous and not curious is not tall or calm. If susan is both kind and not funny the... | Paul is quiet. | contradiction | (((kind(alice)|~creative(alice)))=>(tall(john)))&
(![X]:((patient(X)<~>~old(X))<=>(old(X)<~>~calm(X))))&
(![X]:((~kind(X)|calm(X))<=>(kind(X)&~curious(X))))&
(![X]:((generous(X)&~curious(X))=>(~tall(X)|calm(X))))&
(((kind(susan)&~funny(susan)))<=>((~curious(paul)|rich(paul))))&
(![X]:((curious(X)&funny(X))=>(~calm(X)|~... | quiet(paul) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 425467429980526112244875
% SZS output start Proof for 425467429980526112244875
3. ! [X0] : ((calm(X0) | ~kind(X0)) <=> (~curious(X0) & kind(X0))) [input p2]
14. ? [X0] : (~calm(X0) & ~kind(X0)) <=> quiet(paul) [input p13]
25. quiet(paul) [input hypothesis]
37. ! [X0] : (((calm(X0) | ~kind... | 0 |
If alice is either not quiet or kind then someone is kind or not humble.
Everyone who is either funny or not humble is rich or brave and vice versa.
If someone is not old then john is not humble or generous and vice versa.
If someone is calm or not strong then someone is curious.
Everyone who is not quiet or generous i... | Paul is not calm. | neutral | (((~quiet(alice)<~>kind(alice)))=>(?[X]:((kind(X)|~humble(X)))))&
(![X]:((funny(X)<~>~humble(X))<=>(rich(X)|brave(X))))&
((?[X]:(~old(X)))<=>((~humble(john)|generous(john))))&
((?[X]:((calm(X)|~strong(X))))=>(?[X]:(curious(X))))&
(![X]:((~quiet(X)|generous(X))=>(~creative(X)<~>~wise(X))))&
(![X]:((~strong(X)|old(X))=>(... | ~calm(paul) | [] | null | 0 |
Everyone who is creative or brave is either not tall or old and vice versa. If someone is not strong or old then someone is not strong. If someone is not patient then someone is either not generous or happy. If someone is calm or not funny then mary is not calm. If lucy is either not happy or not wise then someone is n... | Mary is quiet. | neutral | (![X]:((creative(X)|brave(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((~strong(X)|old(X))))=>(?[X]:(~strong(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~generous(X)<~>happy(X)))))&
((?[X]:((calm(X)|~funny(X))))=>(~calm(mary)))&
(((~happy(lucy)<~>~wise(lucy)))=>(?[X]:((~strong(X)|~quiet(X)))))&
(![X]:((curious(X)&generous(X))<=>(fun... | quiet(mary) | [] | null | 0 |
If someone is not curious then paul is not patient or happy and vice versa.
If someone is either not strong or not wise then john is both not patient and funny.
Everyone who is both calm and creative is strong and vice versa.
Everyone who is not calm or patient is not kind and vice versa.
Everyone who is both not rich ... | Susan is not kind. | contradiction | ((?[X]:(~curious(X)))<=>((~patient(paul)|happy(paul))))&
((?[X]:((~strong(X)<~>~wise(X))))=>((~patient(john)&funny(john))))&
(![X]:((calm(X)&creative(X))<=>strong(X)))&
(![X]:((~calm(X)|patient(X))<=>~kind(X)))&
(![X]:((~rich(X)&~funny(X))=>~tall(X)))&
(((~funny(john)<~>calm(john)))<=>((calm(paul)|creative(paul))))&
(!... | ~kind(susan) | [
"p2",
"p6",
"p8",
"p15",
"p17",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8539533994086765710340766
% SZS output start Proof for 8539533994086765710340766
3. ! [X0] : ((creative(X0) & calm(X0)) <=> strong(X0)) [input p2]
7. ! [X0] : ((~funny(X0) | humble(X0)) => (curious(X0) & ~calm(X0))) [input p6]
9. ~brave(susan) <=> ? [X0] : (rich(X0) <~> ~strong(X0)) [inpu... | 0 |
Everyone who is old is either not calm or curious.
If fred is humble then someone is strong or humble.
Everyone who is either not calm or not rich is both not curious and quiet.
Everyone who is not patient is either quiet or curious and vice versa.
If someone is both not kind and happy then someone is quiet and vice ve... | Lucy is not wise. | contradiction | (![X]:(old(X)=>(~calm(X)<~>curious(X))))&
((humble(fred))=>(?[X]:((strong(X)|humble(X)))))&
(![X]:((~calm(X)<~>~rich(X))=>(~curious(X)&quiet(X))))&
(![X]:(~patient(X)<=>(quiet(X)<~>curious(X))))&
((?[X]:((~kind(X)&happy(X))))<=>(?[X]:(quiet(X))))&
(![X]:((rich(X)&curious(X))=>(~kind(X)&~generous(X))))&
(![X]:((~rich(X)... | ~wise(lucy) | [
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4322137577716365119482877
% SZS output start Proof for 4322137577716365119482877
8. ! [X0] : (wise(X0) <=> ~strong(X0)) [input p7]
21. brave(lucy) & ~strong(lucy) [input p20]
24. ~wise(lucy) [input hypothesis]
27. ~strong(lucy) [pure predicate removal 21]
49. ! [X0] : ((wise(X0) | strong(... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and calm then someone is not calm.
If alice is both kind and not brave then alice is both old and not strong and vice versa.
If someone is patient then john is rich.
If mary is funny then someone is not wise or not... | Paul is curious. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&calm(X))))=>(?[X]:(~calm(X))))&
(((kind(alice)&~brave(alice)))<=>((old(alice)&~strong(alice))))&
((?[X]:(patient(X)))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X... | curious(paul) | [
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3342937417163126743324515
% SZS output start Proof for 3342937417163126743324515
8. ! [X0] : (brave(X0) <=> patient(X0)) [input p7]
9. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p8]
10. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p9]
15. ! [X0... | 0 |
If someone is either not old or quiet then alice is either not happy or not calm and vice versa. If someone is brave or not humble then someone is calm and vice versa. If paul is both humble and calm then paul is not humble or rich. Everyone who is kind is either humble or rich. Everyone who is both tall and not humble... | Mary is old. | contradiction | ((?[X]:((~old(X)<~>quiet(X))))<=>((~happy(alice)<~>~calm(alice))))&
((?[X]:((brave(X)|~humble(X))))<=>(?[X]:(calm(X))))&
(((humble(paul)&calm(paul)))=>((~humble(paul)|rich(paul))))&
(![X]:(kind(X)=>(humble(X)<~>rich(X))))&
(![X]:((tall(X)&~humble(X))<=>(~patient(X)|patient(X))))&
(![X]:((~humble(X)<~>humble(X))<=>(curi... | old(mary) | [
"p0",
"p4",
"p5",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 899540678407162682291311
% SZS output start Proof for 899540678407162682291311
1. ? [X0] : (~old(X0) <~> quiet(X0)) <=> (~happy(alice) <~> ~calm(alice)) [input p0]
5. ! [X0] : ((~humble(X0) & tall(X0)) <=> (patient(X0) | ~patient(X0))) [input p4]
6. ! [X0] : ((~humble(X0) <~> humble(X0)) ... | 0 |
Everyone who is both not humble and not kind is either not old or not wise and vice versa.
Everyone who is not creative is either calm or not funny.
Everyone who is not tall is not curious or not strong and vice versa.
If alice is funny then mary is strong or patient.
Everyone who is either old or not creative is eithe... | John is not quiet. | entailment | (![X]:((~humble(X)&~kind(X))<=>(~old(X)<~>~wise(X))))&
(![X]:(~creative(X)=>(calm(X)<~>~funny(X))))&
(![X]:(~tall(X)<=>(~curious(X)|~strong(X))))&
((funny(alice))=>((strong(mary)|patient(mary))))&
(![X]:((old(X)<~>~creative(X))=>(strong(X)<~>~wise(X))))&
(![X]:((funny(X)&~quiet(X))<=>(humble(X)|creative(X))))&
(![X]:((... | ~quiet(john) | [
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6436852257564472859506737
% SZS output start Proof for 6436852257564472859506737
6. ! [X0] : ((~quiet(X0) & funny(X0)) <=> (creative(X0) | humble(X0))) [input p5]
9. ! [X0] : ((~creative(X0) | ~strong(X0)) <=> (~tall(X0) & ~generous(X0))) [input p8]
11. ! [X0] : ((old(X0) & tall(X0)) <=> ... | 0 |
If mary is not strong or strong then lucy is both not brave and not tall and vice versa.
Everyone who is not patient or brave is quiet and vice versa.
Everyone who is both humble and rich is both not generous and not calm and vice versa.
Everyone who is either brave or not calm is brave.
Everyone who is either not humb... | Alice is not quiet. | contradiction | (((~strong(mary)|strong(mary)))<=>((~brave(lucy)&~tall(lucy))))&
(![X]:((~patient(X)|brave(X))<=>quiet(X)))&
(![X]:((humble(X)&rich(X))<=>(~generous(X)&~calm(X))))&
(![X]:((brave(X)<~>~calm(X))=>brave(X)))&
(![X]:((~humble(X)<~>~calm(X))=>(wise(X)&humble(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(kind(X)|calm(X))))&
(![X]... | ~quiet(alice) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1804116521431938760186588
% SZS output start Proof for 1804116521431938760186588
2. ! [X0] : ((brave(X0) | ~patient(X0)) <=> quiet(X0)) [input p1]
3. ! [X0] : ((rich(X0) & humble(X0)) <=> (~calm(X0) & ~generous(X0))) [input p2]
4. ! [X0] : ((brave(X0) <~> ~calm(X0)) => brave(X0)) [input p... | 0 |
Everyone who is not generous or not tall is either not kind or wise. Everyone who is both not humble and not quiet is kind and vice versa. If someone is either wise or brave then lucy is calm or not calm. Everyone who is either funny or not happy is not kind and vice versa. Everyone who is wise or not rich is curious. ... | John is not calm. | contradiction | (![X]:((~generous(X)|~tall(X))=>(~kind(X)<~>wise(X))))&
(![X]:((~humble(X)&~quiet(X))<=>kind(X)))&
((?[X]:((wise(X)<~>brave(X))))=>((calm(lucy)|~calm(lucy))))&
(![X]:((funny(X)<~>~happy(X))<=>~kind(X)))&
(![X]:((wise(X)|~rich(X))=>curious(X)))&
(![X]:((creative(X)<~>patient(X))<=>(curious(X)&~tall(X))))&
(![X]:((genero... | ~calm(john) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4368688804301686916894527
% SZS output start Proof for 4368688804301686916894527
11. ! [X0] : (funny(X0) <=> (~calm(X0) | rich(X0))) [input p10]
21. ~funny(john) & ~quiet(john) [input p20]
24. ~calm(john) [input hypothesis]
50. ! [X0] : ((funny(X0) | (calm(X0) & ~rich(X0))) & ((~calm(X0) ... | 0 |
Everyone who is generous is either not kind or not humble.
Everyone who is rich or not rich is not kind.
If susan is either not creative or old then someone is generous or calm and vice versa.
Everyone who is both not funny and not happy is curious or kind.
Everyone who is not generous is not quiet or old and vice vers... | Lucy is not rich. | neutral | (![X]:(generous(X)=>(~kind(X)<~>~humble(X))))&
(![X]:((rich(X)|~rich(X))=>~kind(X)))&
(((~creative(susan)<~>old(susan)))<=>(?[X]:((generous(X)|calm(X)))))&
(![X]:((~funny(X)&~happy(X))=>(curious(X)|kind(X))))&
(![X]:(~generous(X)<=>(~quiet(X)|old(X))))&
((?[X]:(~old(X)))<=>((~curious(paul)|old(paul))))&
(![X]:((wise(X)... | ~rich(lucy) | [] | null | 0 |
Everyone who is either generous or quiet is either not rich or tall.
Everyone who is happy or tall is either wise or tall.
If someone is either rich or not curious then lucy is either humble or not kind and vice versa.
Everyone who is kind or not humble is curious.
Everyone who is both not patient and not tall is calm ... | Mary is tall. | contradiction | (![X]:((generous(X)<~>quiet(X))=>(~rich(X)<~>tall(X))))&
(![X]:((happy(X)|tall(X))=>(wise(X)<~>tall(X))))&
((?[X]:((rich(X)<~>~curious(X))))<=>((humble(lucy)<~>~kind(lucy))))&
(![X]:((kind(X)|~humble(X))=>curious(X)))&
(![X]:((~patient(X)&~tall(X))<=>(calm(X)|~old(X))))&
((?[X]:((strong(X)&generous(X))))=>(?[X]:((gener... | tall(mary) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1789309235795389344135309
% SZS output start Proof for 1789309235795389344135309
8. ! [X0] : ((tall(X0) | ~tall(X0)) => (rich(X0) | ~tall(X0))) [input p7]
18. ~rich(mary) [input p17]
25. tall(mary) [input hypothesis]
32. ! [X0] : ((rich(X0) | ~tall(X0)) | (~tall(X0) & tall(X0))) [ennf tra... | 0 |
Everyone who is either wise or kind is not generous or not wise.
Everyone who is patient is both rich and funny.
Everyone who is both not tall and funny is either curious or not patient and vice versa.
Everyone who is tall is both brave and not wise.
If someone is both not tall and not kind then fred is both calm and g... | Alice is not tall. | entailment | (![X]:((wise(X)<~>kind(X))=>(~generous(X)|~wise(X))))&
(![X]:(patient(X)=>(rich(X)&funny(X))))&
(![X]:((~tall(X)&funny(X))<=>(curious(X)<~>~patient(X))))&
(![X]:(tall(X)=>(brave(X)&~wise(X))))&
((?[X]:((~tall(X)&~kind(X))))<=>((calm(fred)&generous(fred))))&
(((~kind(susan)&patient(susan)))<=>(?[X]:(~patient(X))))&
(![X... | ~tall(alice) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5690681471140116867687095
% SZS output start Proof for 5690681471140116867687095
4. ! [X0] : (tall(X0) => (~wise(X0) & brave(X0))) [input p3]
14. ! [X0] : (wise(X0) <=> (rich(X0) | tall(X0))) [input p13]
23. tall(alice) [input hypothesis]
30. ! [X0] : ((~wise(X0) & brave(X0)) | ~tall(X0))... | 0 |
Everyone who is humble or not kind is tall.
If paul is rich or not humble then alice is patient or not creative.
If lucy is both quiet and brave then someone is patient or quiet and vice versa.
Everyone who is strong is both not old and wise and vice versa.
Everyone who is not strong or brave is either not wise or kind... | Alice is creative. | entailment | (![X]:((humble(X)|~kind(X))=>tall(X)))&
(((rich(paul)|~humble(paul)))=>((patient(alice)|~creative(alice))))&
(((quiet(lucy)&brave(lucy)))<=>(?[X]:((patient(X)|quiet(X)))))&
(![X]:(strong(X)<=>(~old(X)&wise(X))))&
(![X]:((~strong(X)|brave(X))=>(~wise(X)<~>kind(X))))&
(![X]:((~happy(X)&curious(X))=>(old(X)<~>~curious(X))... | creative(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 700696750926862092905343
% SZS output start Proof for 700696750926862092905343
18. kind(alice) & creative(alice) [input p17]
24. ~creative(alice) [input hypothesis]
123. creative(alice) [cnf transformation 18]
133. ~creative(alice) [cnf transformation 24]
145. 3 <=> creative(alice) [avata... | 0 |
If someone is either not brave or funny then alice is both calm and not humble. If fred is creative or not wise then john is not patient. Everyone who is not quiet or tall is either brave or rich and vice versa. If fred is both not strong and not creative then someone is either not old or tall. Everyone who is patient ... | Alice is not brave. | contradiction | ((?[X]:((~brave(X)<~>funny(X))))=>((calm(alice)&~humble(alice))))&
(((creative(fred)|~wise(fred)))=>(~patient(john)))&
(![X]:((~quiet(X)|tall(X))<=>(brave(X)<~>rich(X))))&
(((~strong(fred)&~creative(fred)))=>(?[X]:((~old(X)<~>tall(X)))))&
(![X]:(patient(X)=>(~quiet(X)&happy(X))))&
((?[X]:(curious(X)))=>(?[X]:(calm(X)))... | ~brave(alice) | [
"p0",
"p2",
"p4",
"p6",
"p10",
"p11",
"p13",
"p14",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8030296497043391836697642
% SZS output start Proof for 8030296497043391836697642
1. ? [X0] : (~brave(X0) <~> funny(X0)) => (~humble(alice) & calm(alice)) [input p0]
3. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> (brave(X0) <~> rich(X0))) [input p2]
5. ! [X0] : (patient(X0) => (happy(X0) & ~quie... | 0 |
If alice is either happy or creative then someone is strong and vice versa.
If mary is not humble or happy then someone is not curious and vice versa.
If someone is either not kind or creative then john is either brave or wise.
If someone is either calm or not strong then mary is quiet.
Everyone who is both not wise an... | Paul is not funny. | entailment | (((happy(alice)<~>creative(alice)))<=>(?[X]:(strong(X))))&
(((~humble(mary)|happy(mary)))<=>(?[X]:(~curious(X))))&
((?[X]:((~kind(X)<~>creative(X))))=>((brave(john)<~>wise(john))))&
((?[X]:((calm(X)<~>~strong(X))))=>(quiet(mary)))&
(![X]:((~wise(X)&~calm(X))<=>(~old(X)|patient(X))))&
(![X]:((rich(X)&~brave(X))<=>patien... | ~funny(paul) | [
"p0",
"p4",
"p6",
"p7",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4184739065229290424838859
% SZS output start Proof for 4184739065229290424838859
1. (happy(alice) <~> creative(alice)) <=> ? [X0] : strong(X0) [input p0]
5. ! [X0] : ((~calm(X0) & ~wise(X0)) <=> (patient(X0) | ~old(X0))) [input p4]
7. ? [X0] : ~old(X0) <=> ~kind(paul) [input p6]
8. ! [X0]... | 0 |
Everyone who is not rich is either generous or not quiet.
If susan is not generous or quiet then someone is humble and vice versa.
Everyone who is both not strong and not quiet is both not kind and generous and vice versa.
Everyone who is both quiet and not patient is either not rich or not humble and vice versa.
Every... | John is tall. | neutral | (![X]:(~rich(X)=>(generous(X)<~>~quiet(X))))&
(((~generous(susan)|quiet(susan)))<=>(?[X]:(humble(X))))&
(![X]:((~strong(X)&~quiet(X))<=>(~kind(X)&generous(X))))&
(![X]:((quiet(X)&~patient(X))<=>(~rich(X)<~>~humble(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~strong(X)&curious(X))))&
(![X]:((~funny(X)|kind(X))=>(brave(X)&ge... | tall(john) | [] | null | 0 |
If lucy is old or humble then someone is not old. Everyone who is not strong is kind and vice versa. Everyone who is either not tall or not quiet is both happy and curious and vice versa. Everyone who is not humble or not brave is both not quiet and brave. If lucy is happy or rich then someone is either not quiet or no... | Lucy is not curious. | entailment | (((old(lucy)|humble(lucy)))=>(?[X]:(~old(X))))&
(![X]:(~strong(X)<=>kind(X)))&
(![X]:((~tall(X)<~>~quiet(X))<=>(happy(X)&curious(X))))&
(![X]:((~humble(X)|~brave(X))=>(~quiet(X)&brave(X))))&
(((happy(lucy)|rich(lucy)))<=>(?[X]:((~quiet(X)<~>~tall(X)))))&
(![X]:((~quiet(X)&patient(X))<=>(~curious(X)<~>~wise(X))))&
(((ta... | ~curious(lucy) | [
"p3",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8034641923782810904945057
% SZS output start Proof for 8034641923782810904945057
4. ! [X0] : ((~brave(X0) | ~humble(X0)) => (brave(X0) & ~quiet(X0))) [input p3]
9. ! [X0] : ((~tall(X0) & curious(X0)) => (~brave(X0) | tall(X0))) [input p8]
13. ! [X0] : ((tall(X0) & brave(X0)) => (creative(... | 0 |
Everyone who is not humble is happy and vice versa.
If john is not strong or patient then susan is strong and vice versa.
Everyone who is not strong is tall and vice versa.
If someone is not old then john is not humble.
If someone is not old then alice is not curious.
Everyone who is either not curious or not humble is... | John is not brave. | entailment | (![X]:(~humble(X)<=>happy(X)))&
(((~strong(john)|patient(john)))<=>(strong(susan)))&
(![X]:(~strong(X)<=>tall(X)))&
((?[X]:(~old(X)))=>(~humble(john)))&
((?[X]:(~old(X)))=>(~curious(alice)))&
(![X]:((~curious(X)<~>~humble(X))=>(creative(X)&~calm(X))))&
((?[X]:((~wise(X)|calm(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(((c... | ~brave(john) | [
"p0",
"p5",
"p10",
"p12",
"p17",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6782393385522288965350926
% SZS output start Proof for 6782393385522288965350926
1. ! [X0] : (~humble(X0) <=> happy(X0)) [input p0]
6. ! [X0] : ((~curious(X0) <~> ~humble(X0)) => (~calm(X0) & creative(X0))) [input p5]
11. ! [X0] : ((~generous(X0) | strong(X0)) <=> (~brave(X0) <~> ~wise(X0... | 0 |
If mary is creative then someone is both not generous and kind. Everyone who is either not old or not quiet is either not funny or not old. Everyone who is strong is not tall or not creative. If mary is brave then someone is either not creative or quiet and vice versa. Everyone who is not humble is either creative or n... | Mary is brave. | neutral | ((creative(mary))=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:((~old(X)<~>~quiet(X))=>(~funny(X)<~>~old(X))))&
(![X]:(strong(X)=>(~tall(X)|~creative(X))))&
((brave(mary))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:(~humble(X)=>(creative(X)<~>~strong(X))))&
(![X]:((~funny(X)&~quiet(X))<=>(~kind(X)&calm(X))))&
((?[X]:((hu... | brave(mary) | [] | null | 0 |
Everyone who is both not tall and curious is either not brave or old and vice versa.
If someone is not calm then someone is not tall or wise and vice versa.
If john is rich then john is either brave or not quiet.
Everyone who is either not kind or not wise is either wise or not quiet and vice versa.
Everyone who is bot... | John is not curious. | neutral | (![X]:((~tall(X)&curious(X))<=>(~brave(X)<~>old(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~tall(X)|wise(X)))))&
((rich(john))=>((brave(john)<~>~quiet(john))))&
(![X]:((~kind(X)<~>~wise(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((~patient(X)&~wise(X))=>(~funny(X)|rich(X))))&
(![X]:((~curious(X)&~calm(X))<=>~creative(X)))&
(![X]:((... | ~curious(john) | [] | null | 0 |
Everyone who is strong is not old and vice versa. Everyone who is rich or not generous is not funny or strong. Everyone who is not patient or strong is both not rich and rich and vice versa. If someone is both strong and kind then someone is not tall or kind. Everyone who is patient is both quiet and not kind. Everyone... | Lucy is generous. | contradiction | (![X]:(strong(X)<=>~old(X)))&
(![X]:((rich(X)|~generous(X))=>(~funny(X)|strong(X))))&
(![X]:((~patient(X)|strong(X))<=>(~rich(X)&rich(X))))&
((?[X]:((strong(X)&kind(X))))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:(patient(X)=>(quiet(X)&~kind(X))))&
(![X]:(~patient(X)<=>(quiet(X)<~>wise(X))))&
(![X]:((~humble(X)&strong(X))<=... | generous(lucy) | [
"p0",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1829572476352482661399633
% SZS output start Proof for 1829572476352482661399633
1. ! [X0] : (strong(X0) <=> ~old(X0)) [input p0]
3. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (rich(X0) & ~rich(X0))) [input p2]
13. (~old(lucy) & rich(lucy)) <=> ? [X0] : (patient(X0) <~> ~generous(X0)) [inp... | 0 |
Everyone who is both creative and brave is either not brave or happy.
If mary is not kind then john is either not wise or humble.
Everyone who is not wise or not patient is both not old and old and vice versa.
Everyone who is either generous or curious is either not funny or rich and vice versa.
Everyone who is brave o... | Lucy is strong. | neutral | (![X]:((creative(X)&brave(X))=>(~brave(X)<~>happy(X))))&
((~kind(mary))=>((~wise(john)<~>humble(john))))&
(![X]:((~wise(X)|~patient(X))<=>(~old(X)&old(X))))&
(![X]:((generous(X)<~>curious(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((brave(X)|~brave(X))=>(~funny(X)|humble(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~kind(X)<~>~pa... | strong(lucy) | [] | null | 0 |
If someone is both not creative and humble then mary is either calm or not old and vice versa. Everyone who is either strong or old is both not creative and not curious. Everyone who is both not curious and humble is either humble or creative and vice versa. If lucy is calm then mary is not curious or curious and vice ... | Paul is not funny. | contradiction | ((?[X]:((~creative(X)&humble(X))))<=>((calm(mary)<~>~old(mary))))&
(![X]:((strong(X)<~>old(X))=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&humble(X))<=>(humble(X)<~>creative(X))))&
((calm(lucy))<=>((~curious(mary)|curious(mary))))&
(![X]:((~wise(X)|strong(X))<=>~creative(X)))&
(((~brave(lucy)|~curious(lucy)))=>(... | ~funny(paul) | [
"p0",
"p2",
"p4",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2500761312872998379152
% SZS output start Proof for 2500761312872998379152
1. ? [X0] : (humble(X0) & ~creative(X0)) <=> (calm(mary) <~> ~old(mary)) [input p0]
3. ! [X0] : ((humble(X0) & ~curious(X0)) <=> (humble(X0) <~> creative(X0))) [input p2]
5. ! [X0] : ((strong(X0) | ~wise(X0)) <=> ~... | 0 |
Everyone who is either not old or not tall is not brave.
Everyone who is calm or quiet is old.
Everyone who is not humble is both rich and funny.
Everyone who is either tall or not quiet is rich or happy and vice versa.
Everyone who is brave or not patient is both not generous and strong and vice versa.
Everyone who is... | Fred is old. | entailment | (![X]:((~old(X)<~>~tall(X))=>~brave(X)))&
(![X]:((calm(X)|quiet(X))=>old(X)))&
(![X]:(~humble(X)=>(rich(X)&funny(X))))&
(![X]:((tall(X)<~>~quiet(X))<=>(rich(X)|happy(X))))&
(![X]:((brave(X)|~patient(X))<=>(~generous(X)&strong(X))))&
(![X]:(wise(X)<=>(quiet(X)<~>~generous(X))))&
((humble(john))=>(?[X]:((old(X)&curious(X... | old(fred) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8360014816127638934658921
% SZS output start Proof for 8360014816127638934658921
1. ! [X0] : ((~old(X0) <~> ~tall(X0)) => ~brave(X0)) [input p0]
4. ! [X0] : ((tall(X0) <~> ~quiet(X0)) <=> (happy(X0) | rich(X0))) [input p3]
5. ! [X0] : ((~patient(X0) | brave(X0)) <=> (strong(X0) & ~generou... | 0 |
Everyone who is not funny is funny or not tall.
If someone is either not calm or not kind then susan is both not kind and kind.
Everyone who is humble or wise is either not humble or strong and vice versa.
Everyone who is generous or wise is old and vice versa.
If someone is not creative or creative then fred is both n... | Fred is strong. | contradiction | (![X]:(~funny(X)=>(funny(X)|~tall(X))))&
((?[X]:((~calm(X)<~>~kind(X))))=>((~kind(susan)&kind(susan))))&
(![X]:((humble(X)|wise(X))<=>(~humble(X)<~>strong(X))))&
(![X]:((generous(X)|wise(X))<=>old(X)))&
((?[X]:((~creative(X)|creative(X))))=>((~creative(fred)&~strong(fred))))&
(![X]:((~old(X)|tall(X))=>~funny(X)))&
(![X... | strong(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1169290592063860167760517
% SZS output start Proof for 1169290592063860167760517
5. ? [X0] : (creative(X0) | ~creative(X0)) => (~strong(fred) & ~creative(fred)) [input p4]
23. strong(fred) [input hypothesis]
30. (~strong(fred) & ~creative(fred)) | ! [X0] : (~creative(X0) & creative(X0)) [... | 0 |
Everyone who is both not wise and rich is either brave or creative.
If someone is not rich then someone is both creative and quiet and vice versa.
If alice is both not tall and not creative then lucy is not funny and vice versa.
Everyone who is either old or funny is either not old or not tall and vice versa.
If susan ... | Fred is not wise. | contradiction | (![X]:((~wise(X)&rich(X))=>(brave(X)<~>creative(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((creative(X)&quiet(X)))))&
(((~tall(alice)&~creative(alice)))<=>(~funny(lucy)))&
(![X]:((old(X)<~>funny(X))<=>(~old(X)<~>~tall(X))))&
(((wise(susan)&~tall(susan)))<=>(?[X]:(strong(X))))&
(![X]:((strong(X)<~>calm(X))<=>(calm(X)<~>old(X)))... | ~wise(fred) | [
"p3",
"p4",
"p5",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3781381401611498402153577
% SZS output start Proof for 3781381401611498402153577
4. ! [X0] : ((old(X0) <~> funny(X0)) <=> (~old(X0) <~> ~tall(X0))) [input p3]
5. (~tall(susan) & wise(susan)) <=> ? [X0] : strong(X0) [input p4]
6. ! [X0] : ((strong(X0) <~> calm(X0)) <=> (calm(X0) <~> old(X0... | 0 |
If someone is both tall and wise then someone is not quiet.
If someone is patient or tall then someone is both not tall and not strong.
Everyone who is not wise or not patient is either old or humble.
Everyone who is not kind is either humble or not creative and vice versa.
Everyone who is either not old or not brave i... | Paul is not creative. | entailment | ((?[X]:((tall(X)&wise(X))))=>(?[X]:(~quiet(X))))&
((?[X]:((patient(X)|tall(X))))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((~wise(X)|~patient(X))=>(old(X)<~>humble(X))))&
(![X]:(~kind(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~old(X)<~>~brave(X))=>(curious(X)|tall(X))))&
(![X]:((~humble(X)<~>happy(X))<=>(~brave(X)&~wis... | ~creative(paul) | [
"p2",
"p3",
"p5",
"p8",
"p9",
"p10",
"p11",
"p13",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3102479400639312557244564
% SZS output start Proof for 3102479400639312557244564
3. ! [X0] : ((~patient(X0) | ~wise(X0)) => (old(X0) <~> humble(X0))) [input p2]
4. ! [X0] : (~kind(X0) <=> (humble(X0) <~> ~creative(X0))) [input p3]
6. ! [X0] : ((~humble(X0) <~> happy(X0)) <=> (~wise(X0) & ... | 0 |
Everyone who is either not brave or brave is rich.
If paul is wise or not strong then susan is rich.
If someone is both not humble and happy then someone is funny.
Everyone who is either not funny or humble is either not strong or not humble and vice versa.
Everyone who is not happy is humble and vice versa.
Everyone w... | Paul is not rich. | contradiction | (![X]:((~brave(X)<~>brave(X))=>rich(X)))&
(((wise(paul)|~strong(paul)))=>(rich(susan)))&
((?[X]:((~humble(X)&happy(X))))=>(?[X]:(funny(X))))&
(![X]:((~funny(X)<~>humble(X))<=>(~strong(X)<~>~humble(X))))&
(![X]:(~happy(X)<=>humble(X)))&
(![X]:((~strong(X)<~>happy(X))<=>(~happy(X)|brave(X))))&
((?[X]:((tall(X)|quiet(X)))... | ~rich(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3861128542874857888771161
% SZS output start Proof for 3861128542874857888771161
1. ! [X0] : ((~brave(X0) <~> brave(X0)) => rich(X0)) [input p0]
21. ~rich(paul) [input hypothesis]
27. ! [X0] : (rich(X0) | (~brave(X0) <=> brave(X0))) [ennf transformation 1]
37. ! [X0] : (rich(X0) | ((~brav... | 0 |
If someone is not rich or strong then john is not rich.
Everyone who is not old is not tall and vice versa.
Everyone who is both not generous and not old is both curious and not old and vice versa.
Everyone who is not rich or not funny is calm and vice versa.
If susan is not brave or rich then someone is either curious... | Susan is strong. | contradiction | ((?[X]:((~rich(X)|strong(X))))=>(~rich(john)))&
(![X]:(~old(X)<=>~tall(X)))&
(![X]:((~generous(X)&~old(X))<=>(curious(X)&~old(X))))&
(![X]:((~rich(X)|~funny(X))<=>calm(X)))&
(((~brave(susan)|rich(susan)))<=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((~wise(X)&~kind(X))<=>(funny(X)<~>quiet(X))))&
(![X]:((~kind(X)|rich(X))... | strong(susan) | [
"p2",
"p3",
"p4",
"p6",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5672467691537085605597465
% SZS output start Proof for 5672467691537085605597465
3. ! [X0] : ((~old(X0) & ~generous(X0)) <=> (~old(X0) & curious(X0))) [input p2]
4. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> calm(X0)) [input p3]
5. (rich(susan) | ~brave(susan)) <=> ? [X0] : (curious(X0) <~> ~... | 0 |
Everyone who is not generous or not creative is both not patient and wise and vice versa.
If someone is not kind then someone is kind and vice versa.
If fred is both creative and not humble then someone is curious or patient and vice versa.
Everyone who is both not funny and not strong is patient or curious and vice ve... | Fred is not happy. | contradiction | (![X]:((~generous(X)|~creative(X))<=>(~patient(X)&wise(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(kind(X))))&
(((creative(fred)&~humble(fred)))<=>(?[X]:((curious(X)|patient(X)))))&
(![X]:((~funny(X)&~strong(X))<=>(patient(X)|curious(X))))&
((?[X]:((wise(X)&calm(X))))=>((patient(fred)&~brave(fred))))&
(((~humble(john)|~quiet(jo... | ~happy(fred) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7623474919377400451480051
% SZS output start Proof for 7623474919377400451480051
1. ! [X0] : ((~creative(X0) | ~generous(X0)) <=> (wise(X0) & ~patient(X0))) [input p0]
4. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> (curious(X0) | patient(X0))) [input p3]
5. ? [X0] : (calm(X0) & wise(X0)) => ... | 0 |
Everyone who is patient or kind is funny and vice versa. If susan is either curious or kind then paul is both not creative and not brave. If someone is both strong and rich then someone is both kind and not old. Everyone who is either curious or not old is either quiet or not humble. Everyone who is both not happy and ... | Fred is not funny. | contradiction | (![X]:((patient(X)|kind(X))<=>funny(X)))&
(((curious(susan)<~>kind(susan)))=>((~creative(paul)&~brave(paul))))&
((?[X]:((strong(X)&rich(X))))=>(?[X]:((kind(X)&~old(X)))))&
(![X]:((curious(X)<~>~old(X))=>(quiet(X)<~>~humble(X))))&
(![X]:((~happy(X)&rich(X))=>(~kind(X)&~brave(X))))&
(![X]:(~happy(X)=>old(X)))&
(![X]:(cre... | ~funny(fred) | [
"p0",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3136337485957137877594947
% SZS output start Proof for 3136337485957137877594947
1. ! [X0] : ((kind(X0) | patient(X0)) <=> funny(X0)) [input p0]
11. ! [X0] : ((patient(X0) & ~wise(X0)) <=> (~calm(X0) | brave(X0))) [input p10]
12. ! [X0] : ((~kind(X0) | ~calm(X0)) => ~happy(X0)) [input p11... | 0 |
If someone is both not tall and creative then mary is either not curious or old.
If someone is both old and kind then someone is tall or not humble and vice versa.
If john is both not calm and not patient then someone is both not strong and quiet.
Everyone who is both funny and not kind is either not patient or not cur... | Mary is quiet. | neutral | ((?[X]:((~tall(X)&creative(X))))=>((~curious(mary)<~>old(mary))))&
((?[X]:((old(X)&kind(X))))<=>(?[X]:((tall(X)|~humble(X)))))&
(((~calm(john)&~patient(john)))=>(?[X]:((~strong(X)&quiet(X)))))&
(![X]:((funny(X)&~kind(X))<=>(~patient(X)<~>~curious(X))))&
((?[X]:((calm(X)&~strong(X))))=>((~patient(alice)&~creative(alice)... | quiet(mary) | [] | null | 0 |
Everyone who is creative or not funny is funny and vice versa. If someone is not creative or not humble then paul is either not generous or not rich and vice versa. Everyone who is not old is either not curious or quiet and vice versa. Everyone who is both patient and not kind is either not rich or happy. If paul is no... | Paul is funny. | entailment | (![X]:((creative(X)|~funny(X))<=>funny(X)))&
((?[X]:((~creative(X)|~humble(X))))<=>((~generous(paul)<~>~rich(paul))))&
(![X]:(~old(X)<=>(~curious(X)<~>quiet(X))))&
(![X]:((patient(X)&~kind(X))=>(~rich(X)<~>happy(X))))&
(((~humble(paul)|~tall(paul)))<=>(?[X]:(kind(X))))&
(![X]:((~generous(X)&humble(X))=>(~brave(X)&~crea... | funny(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1106136781998209993637669
% SZS output start Proof for 1106136781998209993637669
1. ! [X0] : ((~funny(X0) | creative(X0)) <=> funny(X0)) [input p0]
25. ~funny(paul) [input hypothesis]
38. ! [X0] : (((~funny(X0) | creative(X0)) | ~funny(X0)) & (funny(X0) | (funny(X0) & ~creative(X0)))) [nn... | 0 |
Everyone who is both generous and not humble is not calm or not creative and vice versa. If paul is both creative and not strong then someone is patient or not quiet and vice versa. Everyone who is both curious and not patient is either wise or quiet and vice versa. If someone is either not humble or not old then mary ... | Fred is calm. | entailment | (![X]:((generous(X)&~humble(X))<=>(~calm(X)|~creative(X))))&
(((creative(paul)&~strong(paul)))<=>(?[X]:((patient(X)|~quiet(X)))))&
(![X]:((curious(X)&~patient(X))<=>(wise(X)<~>quiet(X))))&
((?[X]:((~humble(X)<~>~old(X))))=>(~rich(mary)))&
(((~funny(fred)<~>~brave(fred)))=>((~quiet(paul)|calm(paul))))&
((?[X]:((~funny(X... | calm(fred) | [
"p1",
"p9",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9115348588293860489384561
% SZS output start Proof for 9115348588293860489384561
2. (~strong(paul) & creative(paul)) <=> ? [X0] : (~quiet(X0) | patient(X0)) [input p1]
10. ! [X0] : ((creative(X0) | ~curious(X0)) => (strong(X0) & ~brave(X0))) [input p9]
13. ! [X0] : (~calm(X0) => (patient(... | 0 |
Everyone who is not brave is old. Everyone who is not calm is both funny and not patient. If someone is not curious or generous then lucy is either curious or kind. Everyone who is either calm or not funny is not kind or not brave and vice versa. Everyone who is humble or not creative is either patient or happy. If joh... | Fred is not quiet. | contradiction | (![X]:(~brave(X)=>old(X)))&
(![X]:(~calm(X)=>(funny(X)&~patient(X))))&
((?[X]:((~curious(X)|generous(X))))=>((curious(lucy)<~>kind(lucy))))&
(![X]:((calm(X)<~>~funny(X))<=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)|~creative(X))=>(patient(X)<~>happy(X))))&
(((~humble(john)|strong(john)))=>(?[X]:(~happy(X))))&
((?[X]:((~... | ~quiet(fred) | [
"p8",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4182076444641506583271450
% SZS output start Proof for 4182076444641506583271450
9. ! [X0] : ((~quiet(X0) <~> ~kind(X0)) <=> (happy(X0) <~> ~kind(X0))) [input p8]
11. ! [X0] : ((happy(X0) | ~kind(X0)) => (happy(X0) & ~humble(X0))) [input p10]
12. ! [X0] : (kind(X0) <=> humble(X0)) [input ... | 0 |
Everyone who is not happy or tall is not happy or not quiet.
If someone is brave or not curious then fred is both not patient and not humble.
Everyone who is wise is both not rich and not quiet and vice versa.
Everyone who is not brave is tall or not generous.
Everyone who is either not kind or wise is both brave and r... | Fred is wise. | contradiction | (![X]:((~happy(X)|tall(X))=>(~happy(X)|~quiet(X))))&
((?[X]:((brave(X)|~curious(X))))=>((~patient(fred)&~humble(fred))))&
(![X]:(wise(X)<=>(~rich(X)&~quiet(X))))&
(![X]:(~brave(X)=>(tall(X)|~generous(X))))&
(![X]:((~kind(X)<~>wise(X))=>(brave(X)&rich(X))))&
((rich(paul))<=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:(~calm(X)... | wise(fred) | [
"p1",
"p2",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3737420887974040102883057
% SZS output start Proof for 3737420887974040102883057
2. ? [X0] : (~curious(X0) | brave(X0)) => (~humble(fred) & ~patient(fred)) [input p1]
3. ! [X0] : (wise(X0) <=> (~quiet(X0) & ~rich(X0))) [input p2]
10. ! [X0] : ((humble(X0) <~> ~wise(X0)) <=> (patient(X0) <... | 0 |
Everyone who is kind is both curious and generous.
If someone is not humble then someone is both not generous and not patient.
If lucy is generous or not tall then someone is not brave or old.
If lucy is either calm or strong then someone is not wise and vice versa.
If someone is kind or humble then lucy is both brave ... | Lucy is not rich. | neutral | (![X]:(kind(X)=>(curious(X)&generous(X))))&
((?[X]:(~humble(X)))=>(?[X]:((~generous(X)&~patient(X)))))&
(((generous(lucy)|~tall(lucy)))=>(?[X]:((~brave(X)|old(X)))))&
(((calm(lucy)<~>strong(lucy)))<=>(?[X]:(~wise(X))))&
((?[X]:((kind(X)|humble(X))))<=>((brave(lucy)&~happy(lucy))))&
(![X]:((rich(X)<~>patient(X))<=>(tall... | ~rich(lucy) | [] | null | 0 |
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