premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is humble or not old is either not funny or wise and vice versa.
Everyone who is either not kind or generous is not creative or not tall.
If someone is both not old and not wise then someone is not creative and vice versa.
Everyone who is either funny or kind is happy and vice versa.
If susan is either hap... | Paul is brave. | neutral | (![X]:((humble(X)|~old(X))<=>(~funny(X)<~>wise(X))))&
(![X]:((~kind(X)<~>generous(X))=>(~creative(X)|~tall(X))))&
((?[X]:((~old(X)&~wise(X))))<=>(?[X]:(~creative(X))))&
(![X]:((funny(X)<~>kind(X))<=>happy(X)))&
(((happy(susan)<~>~curious(susan)))=>((curious(paul)|kind(paul))))&
(![X]:((strong(X)&~kind(X))<=>generous(X)... | brave(paul) | [] | null | 0 |
If someone is both funny and not calm then susan is not happy or tall. If someone is either calm or quiet then someone is either quiet or kind and vice versa. Everyone who is not happy or strong is not strong and vice versa. Everyone who is both quiet and tall is both rich and tall and vice versa. Everyone who is humbl... | Alice is not happy. | entailment | ((?[X]:((funny(X)&~calm(X))))=>((~happy(susan)|tall(susan))))&
((?[X]:((calm(X)<~>quiet(X))))<=>(?[X]:((quiet(X)<~>kind(X)))))&
(![X]:((~happy(X)|strong(X))<=>~strong(X)))&
(![X]:((quiet(X)&tall(X))<=>(rich(X)&tall(X))))&
(![X]:((humble(X)|~brave(X))=>(old(X)|~rich(X))))&
(((quiet(john)|~generous(john)))<=>((brave(paul... | ~happy(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8363026269392438800222693
% SZS output start Proof for 8363026269392438800222693
3. ! [X0] : ((strong(X0) | ~happy(X0)) <=> ~strong(X0)) [input p2]
24. happy(alice) [input hypothesis]
43. ! [X0] : (((strong(X0) | ~happy(X0)) | strong(X0)) & (~strong(X0) | (~strong(X0) & happy(X0)))) [nnf ... | 0 |
Everyone who is not funny or not humble is either not kind or humble.
If paul is either patient or wise then susan is both creative and quiet and vice versa.
If fred is both not patient and not quiet then someone is either curious or not patient and vice versa.
Everyone who is not funny is either not kind or old.
Every... | Fred is not generous. | neutral | (![X]:((~funny(X)|~humble(X))=>(~kind(X)<~>humble(X))))&
(((patient(paul)<~>wise(paul)))<=>((creative(susan)&quiet(susan))))&
(((~patient(fred)&~quiet(fred)))<=>(?[X]:((curious(X)<~>~patient(X)))))&
(![X]:(~funny(X)=>(~kind(X)<~>old(X))))&
(![X]:(strong(X)=>(~curious(X)|~calm(X))))&
(![X]:(~humble(X)=>wise(X)))&
(![X]:... | ~generous(fred) | [] | null | 0 |
Everyone who is not curious is kind.
If someone is quiet or not wise then someone is both not calm and creative and vice versa.
If lucy is not kind then susan is either patient or not creative.
If john is either not patient or not creative then alice is both not rich and rich.
If someone is either creative or not creat... | John is patient. | entailment | (![X]:(~curious(X)=>kind(X)))&
((?[X]:((quiet(X)|~wise(X))))<=>(?[X]:((~calm(X)&creative(X)))))&
((~kind(lucy))=>((patient(susan)<~>~creative(susan))))&
(((~patient(john)<~>~creative(john)))=>((~rich(alice)&rich(alice))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(patient(lucy)))&
(![X]:((~patient(X)|~tall(X))=>(~tall(... | patient(john) | [
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2127878433881080550553322
% SZS output start Proof for 2127878433881080550553322
10. ! [X0] : ((calm(X0) | generous(X0)) <=> (~funny(X0) & wise(X0))) [input p9]
15. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (funny(X0) & ~generous(X0))) [input p14]
18. calm(john) [input p17]
25. ~patient(j... | 0 |
If someone is both not curious and wise then paul is not brave or not curious.
If susan is either not wise or not quiet then susan is both not curious and humble.
Everyone who is both kind and wise is either curious or creative.
If someone is humble then someone is happy or not patient.
If someone is not rich or not hu... | Alice is not wise. | contradiction | ((?[X]:((~curious(X)&wise(X))))=>((~brave(paul)|~curious(paul))))&
(((~wise(susan)<~>~quiet(susan)))=>((~curious(susan)&humble(susan))))&
(![X]:((kind(X)&wise(X))=>(curious(X)<~>creative(X))))&
((?[X]:(humble(X)))=>(?[X]:((happy(X)|~patient(X)))))&
((?[X]:((~rich(X)|~humble(X))))<=>((~old(alice)|~curious(alice))))&
(((... | ~wise(alice) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3639307642787858479209677
% SZS output start Proof for 3639307642787858479209677
7. ! [X0] : (~happy(X0) <=> (~kind(X0) | wise(X0))) [input p6]
16. ! [X0] : ((~strong(X0) <~> strong(X0)) <=> (~happy(X0) & kind(X0))) [input p15]
24. ~wise(alice) [input hypothesis]
50. ! [X0] : ((~happy(X0)... | 0 |
If someone is either humble or not patient then someone is either not curious or old.
Everyone who is both not humble and old is both not patient and not brave and vice versa.
If someone is old or not quiet then someone is not generous and vice versa.
Everyone who is either generous or not curious is not humble or funn... | Alice is wise. | contradiction | ((?[X]:((humble(X)<~>~patient(X))))=>(?[X]:((~curious(X)<~>old(X)))))&
(![X]:((~humble(X)&old(X))<=>(~patient(X)&~brave(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(~humble(X)|funny(X))))&
((?[X]:((brave(X)<~>wise(X))))=>((calm(lucy)&~calm(lucy))))&
(![X]:((funny(X... | wise(alice) | [
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2070235384446293306995285
% SZS output start Proof for 2070235384446293306995285
5. ? [X0] : (brave(X0) <~> wise(X0)) => (~calm(lucy) & calm(lucy)) [input p4]
22. curious(alice) & ~brave(alice) [input p21]
24. wise(alice) [input hypothesis]
31. (~calm(lucy) & calm(lucy)) | ! [X0] : (brave... | 0 |
Everyone who is both happy and creative is both not strong and not tall. If someone is not kind then paul is not wise. If john is tall or wise then someone is both not funny and strong. If fred is both not tall and creative then lucy is both humble and brave. Everyone who is strong is old. Everyone who is not rich is e... | Paul is not generous. | contradiction | (![X]:((happy(X)&creative(X))=>(~strong(X)&~tall(X))))&
((?[X]:(~kind(X)))=>(~wise(paul)))&
(((tall(john)|wise(john)))=>(?[X]:((~funny(X)&strong(X)))))&
(((~tall(fred)&creative(fred)))=>((humble(lucy)&brave(lucy))))&
(![X]:(strong(X)=>old(X)))&
(![X]:(~rich(X)<=>(rich(X)<~>funny(X))))&
(![X]:((~patient(X)&~generous(X))... | ~generous(paul) | [
"p1",
"p4",
"p6",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3131803318970139503363934
% SZS output start Proof for 3131803318970139503363934
2. ? [X0] : ~kind(X0) => ~wise(paul) [input p1]
5. ! [X0] : (strong(X0) => old(X0)) [input p4]
7. ! [X0] : ((~generous(X0) & ~patient(X0)) => (wise(X0) <~> ~old(X0))) [input p6]
12. ! [X0] : ((patient(X0) <~>... | 0 |
Everyone who is not happy is not creative or not funny.
If fred is both patient and brave then susan is not kind or not generous and vice versa.
If someone is either happy or not rich then someone is not quiet or not happy and vice versa.
Everyone who is both kind and not rich is either wise or not rich.
Everyone who i... | Lucy is creative. | entailment | (![X]:(~happy(X)=>(~creative(X)|~funny(X))))&
(((patient(fred)&brave(fred)))<=>((~kind(susan)|~generous(susan))))&
((?[X]:((happy(X)<~>~rich(X))))<=>(?[X]:((~quiet(X)|~happy(X)))))&
(![X]:((kind(X)&~rich(X))=>(wise(X)<~>~rich(X))))&
(![X]:((~patient(X)<~>strong(X))=>funny(X)))&
(![X]:(old(X)=>(humble(X)<~>calm(X))))&
(... | creative(lucy) | [
"p4",
"p7",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2228188340672860819415642
% SZS output start Proof for 2228188340672860819415642
5. ! [X0] : ((~patient(X0) <~> strong(X0)) => funny(X0)) [input p4]
8. ! [X0] : ((~funny(X0) | brave(X0)) <=> ~brave(X0)) [input p7]
14. ! [X0] : ((~brave(X0) | ~tall(X0)) => (calm(X0) & ~brave(X0))) [input p... | 0 |
Everyone who is not kind or not wise is either not curious or calm and vice versa. Everyone who is either quiet or not wise is humble or not wise and vice versa. If susan is not generous then someone is funny or patient. Everyone who is either brave or tall is not wise. If someone is both not quiet and quiet then paul ... | Lucy is not kind. | entailment | (![X]:((~kind(X)|~wise(X))<=>(~curious(X)<~>calm(X))))&
(![X]:((quiet(X)<~>~wise(X))<=>(humble(X)|~wise(X))))&
((~generous(susan))=>(?[X]:((funny(X)|patient(X)))))&
(![X]:((brave(X)<~>tall(X))=>~wise(X)))&
((?[X]:((~quiet(X)&quiet(X))))=>(~tall(paul)))&
(((~funny(lucy)|~tall(lucy)))<=>(?[X]:((generous(X)|~calm(X)))))&
... | ~kind(lucy) | [
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7797262179798959603896293
% SZS output start Proof for 7797262179798959603896293
7. (calm(lucy) <~> kind(lucy)) <=> (~strong(fred) & quiet(fred)) [input p6]
16. ! [X0] : ((funny(X0) & ~funny(X0)) <=> calm(X0)) [input p15]
20. ~quiet(fred) [input p19]
25. kind(lucy) [input hypothesis]
52. ... | 0 |
Everyone who is either wise or not kind is not brave and vice versa. Everyone who is either not funny or not calm is both generous and not kind and vice versa. If someone is not patient then someone is both not quiet and calm and vice versa. If someone is either not happy or not old then paul is both kind and not curio... | Susan is not quiet. | neutral | (![X]:((wise(X)<~>~kind(X))<=>~brave(X)))&
(![X]:((~funny(X)<~>~calm(X))<=>(generous(X)&~kind(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~quiet(X)&calm(X)))))&
((?[X]:((~happy(X)<~>~old(X))))<=>((kind(paul)&~curious(paul))))&
((?[X]:((calm(X)<~>~brave(X))))<=>(?[X]:((kind(X)<~>~calm(X)))))&
((?[X]:(kind(X)))=>((~rich(lucy)... | ~quiet(susan) | [] | null | 0 |
Everyone who is either curious or not curious is either not creative or strong and vice versa. Everyone who is both brave and not creative is either not kind or not happy and vice versa. Everyone who is not strong is both strong and calm and vice versa. If someone is strong then paul is happy and vice versa. If susan i... | Lucy is not brave. | neutral | (![X]:((curious(X)<~>~curious(X))<=>(~creative(X)<~>strong(X))))&
(![X]:((brave(X)&~creative(X))<=>(~kind(X)<~>~happy(X))))&
(![X]:(~strong(X)<=>(strong(X)&calm(X))))&
((?[X]:(strong(X)))<=>(happy(paul)))&
(((patient(susan)|~quiet(susan)))<=>(~strong(lucy)))&
((brave(mary))=>((~calm(john)&~patient(john))))&
((?[X]:(~pa... | ~brave(lucy) | [] | null | 0 |
If someone is both not old and rich then alice is not old or humble and vice versa.
Everyone who is both brave and not creative is not brave or not rich and vice versa.
If someone is both kind and happy then john is both curious and generous and vice versa.
Everyone who is not calm or curious is not humble or not curio... | Fred is rich. | entailment | ((?[X]:((~old(X)&rich(X))))<=>((~old(alice)|humble(alice))))&
(![X]:((brave(X)&~creative(X))<=>(~brave(X)|~rich(X))))&
((?[X]:((kind(X)&happy(X))))<=>((curious(john)&generous(john))))&
(![X]:((~calm(X)|curious(X))=>(~humble(X)|~curious(X))))&
((?[X]:((old(X)<~>brave(X))))<=>(?[X]:((~rich(X)|wise(X)))))&
((?[X]:((old(X)... | rich(fred) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5854041273930731057481406
% SZS output start Proof for 5854041273930731057481406
2. ! [X0] : ((~creative(X0) & brave(X0)) <=> (~rich(X0) | ~brave(X0))) [input p1]
7. ! [X0] : ((~brave(X0) & ~patient(X0)) <=> (~rich(X0) | ~humble(X0))) [input p6]
23. ~rich(fred) [input hypothesis]
37. ! [X... | 0 |
Everyone who is not quiet or not brave is either calm or wise.
Everyone who is strong or not rich is calm or creative and vice versa.
If alice is not brave then alice is both humble and strong.
If susan is both rich and not old then alice is both not old and not calm and vice versa.
Everyone who is generous or not crea... | Paul is funny. | neutral | (![X]:((~quiet(X)|~brave(X))=>(calm(X)<~>wise(X))))&
(![X]:((strong(X)|~rich(X))<=>(calm(X)|creative(X))))&
((~brave(alice))=>((humble(alice)&strong(alice))))&
(((rich(susan)&~old(susan)))<=>((~old(alice)&~calm(alice))))&
(![X]:((generous(X)|~creative(X))=>creative(X)))&
(![X]:((happy(X)|strong(X))<=>(~calm(X)<~>~tall(... | funny(paul) | [] | null | 0 |
Everyone who is not strong or not old is either old or not calm and vice versa.
If someone is both curious and wise then someone is not creative or not generous.
Everyone who is either old or rich is not wise.
Everyone who is either wise or brave is both not wise and generous.
Everyone who is both not curious and not r... | Fred is rich. | entailment | (![X]:((~strong(X)|~old(X))<=>(old(X)<~>~calm(X))))&
((?[X]:((curious(X)&wise(X))))=>(?[X]:((~creative(X)|~generous(X)))))&
(![X]:((old(X)<~>rich(X))=>~wise(X)))&
(![X]:((wise(X)<~>brave(X))=>(~wise(X)&generous(X))))&
(![X]:((~curious(X)&~rich(X))=>wise(X)))&
((rich(alice))=>(quiet(susan)))&
(![X]:((humble(X)<~>~strong... | rich(fred) | [
"p3",
"p4",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6849609136057889810576562
% SZS output start Proof for 6849609136057889810576562
4. ! [X0] : ((wise(X0) <~> brave(X0)) => (generous(X0) & ~wise(X0))) [input p3]
5. ! [X0] : ((~rich(X0) & ~curious(X0)) => wise(X0)) [input p4]
12. ! [X0] : ((~curious(X0) <~> ~rich(X0)) => (humble(X0) & ~cur... | 0 |
Everyone who is both not calm and kind is generous and vice versa.
If someone is both not quiet and not kind then susan is both creative and not patient and vice versa.
If susan is both not curious and not old then alice is both not tall and strong and vice versa.
Everyone who is tall or not generous is not curious or ... | Susan is not generous. | neutral | (![X]:((~calm(X)&kind(X))<=>generous(X)))&
((?[X]:((~quiet(X)&~kind(X))))<=>((creative(susan)&~patient(susan))))&
(((~curious(susan)&~old(susan)))<=>((~tall(alice)&strong(alice))))&
(![X]:((tall(X)|~generous(X))=>(~curious(X)|old(X))))&
(![X]:((tall(X)&~tall(X))=>(quiet(X)|~quiet(X))))&
(((~old(paul)&~tall(paul)))=>((~... | ~generous(susan) | [] | null | 0 |
If alice is humble then fred is either tall or not quiet and vice versa.
If paul is either not funny or not brave then someone is both old and not generous and vice versa.
If someone is rich then lucy is both not quiet and curious.
Everyone who is generous or not rich is kind and vice versa.
Everyone who is either calm... | Lucy is not rich. | contradiction | ((humble(alice))<=>((tall(fred)<~>~quiet(fred))))&
(((~funny(paul)<~>~brave(paul)))<=>(?[X]:((old(X)&~generous(X)))))&
((?[X]:(rich(X)))=>((~quiet(lucy)&curious(lucy))))&
(![X]:((generous(X)|~rich(X))<=>kind(X)))&
(![X]:((calm(X)<~>~funny(X))<=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)|~creative(X))=>(patient(X)<~>happ... | ~rich(lucy) | [
"p2",
"p3",
"p5",
"p9",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7761471134355232206963836
% SZS output start Proof for 7761471134355232206963836
3. ? [X0] : rich(X0) => (curious(lucy) & ~quiet(lucy)) [input p2]
4. ! [X0] : ((~rich(X0) | generous(X0)) <=> kind(X0)) [input p3]
6. ! [X0] : ((~creative(X0) | humble(X0)) => (patient(X0) <~> happy(X0))) [in... | 0 |
Everyone who is tall is either generous or wise. Everyone who is either not humble or not rich is happy or funny and vice versa. If someone is either old or not wise then paul is creative or wise. Everyone who is generous is both not strong and creative. Everyone who is old is both not rich and happy and vice versa. If... | Fred is not quiet. | contradiction | (![X]:(tall(X)=>(generous(X)<~>wise(X))))&
(![X]:((~humble(X)<~>~rich(X))<=>(happy(X)|funny(X))))&
((?[X]:((old(X)<~>~wise(X))))=>((creative(paul)|wise(paul))))&
(![X]:(generous(X)=>(~strong(X)&creative(X))))&
(![X]:(old(X)<=>(~rich(X)&happy(X))))&
((?[X]:(~old(X)))=>(?[X]:((~quiet(X)&~rich(X)))))&
(![X]:(quiet(X)<=>~f... | ~quiet(fred) | [
"p1",
"p5",
"p6",
"p7",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 981575878202396412410146
% SZS output start Proof for 981575878202396412410146
2. ! [X0] : ((~humble(X0) <~> ~rich(X0)) <=> (funny(X0) | happy(X0))) [input p1]
6. ? [X0] : ~old(X0) => ? [X0] : (~rich(X0) & ~quiet(X0)) [input p5]
7. ! [X0] : (quiet(X0) <=> ~funny(X0)) [input p6]
8. ! [X0] ... | 0 |
Everyone who is both kind and not patient is either kind or not calm.
If someone is not happy or quiet then lucy is either patient or not tall.
Everyone who is both calm and not tall is not strong.
If lucy is patient then mary is not patient or not kind.
Everyone who is not rich or humble is either not quiet or old.
Ev... | Fred is quiet. | contradiction | (![X]:((kind(X)&~patient(X))=>(kind(X)<~>~calm(X))))&
((?[X]:((~happy(X)|quiet(X))))=>((patient(lucy)<~>~tall(lucy))))&
(![X]:((calm(X)&~tall(X))=>~strong(X)))&
((patient(lucy))=>((~patient(mary)|~kind(mary))))&
(![X]:((~rich(X)|humble(X))=>(~quiet(X)<~>old(X))))&
(![X]:((patient(X)<~>~wise(X))<=>(humble(X)|~curious(X)... | quiet(fred) | [
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p13",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5100431432013988149211544
% SZS output start Proof for 5100431432013988149211544
3. ! [X0] : ((~tall(X0) & calm(X0)) => ~strong(X0)) [input p2]
6. ! [X0] : ((patient(X0) <~> ~wise(X0)) <=> (~curious(X0) | humble(X0))) [input p5]
7. ? [X0] : (~old(X0) | tall(X0)) => (~brave(susan) & strong... | 0 |
If fred is not kind then fred is not strong and vice versa.
Everyone who is either not humble or not rich is both quiet and not generous.
If fred is not curious then alice is wise or not rich and vice versa.
Everyone who is both not humble and not rich is not strong and vice versa.
If lucy is either quiet or not humble... | Mary is not quiet. | contradiction | ((~kind(fred))<=>(~strong(fred)))&
(![X]:((~humble(X)<~>~rich(X))=>(quiet(X)&~generous(X))))&
((~curious(fred))<=>((wise(alice)|~rich(alice))))&
(![X]:((~humble(X)&~rich(X))<=>~strong(X)))&
(((quiet(lucy)<~>~humble(lucy)))<=>((old(mary)<~>generous(mary))))&
((?[X]:((~calm(X)<~>kind(X))))=>((tall(john)|~rich(john))))&
(... | ~quiet(mary) | [
"p1",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1747818223075853310214136
% SZS output start Proof for 1747818223075853310214136
2. ! [X0] : ((~humble(X0) <~> ~rich(X0)) => (~generous(X0) & quiet(X0))) [input p1]
4. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> ~strong(X0)) [input p3]
10. ! [X0] : (rich(X0) <=> ~strong(X0)) [input p9]
21. ~q... | 0 |
If someone is strong then someone is either not tall or not quiet and vice versa.
If lucy is tall then someone is creative or not kind and vice versa.
If someone is either calm or humble then someone is curious.
Everyone who is not tall is old or not generous and vice versa.
If john is quiet or not tall then john is cr... | Lucy is creative. | contradiction | ((?[X]:(strong(X)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
((tall(lucy))<=>(?[X]:((creative(X)|~kind(X)))))&
((?[X]:((calm(X)<~>humble(X))))=>(?[X]:(curious(X))))&
(![X]:(~tall(X)<=>(old(X)|~generous(X))))&
(((quiet(john)|~tall(john)))<=>((creative(john)|~tall(john))))&
((?[X]:((curious(X)&quiet(X))))<=>(?[X]:((~kind(X)|w... | creative(lucy) | [
"p1",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 489831159414564549570446
% SZS output start Proof for 489831159414564549570446
2. tall(lucy) <=> ? [X0] : (~kind(X0) | creative(X0)) [input p1]
4. ! [X0] : (~tall(X0) <=> (~generous(X0) | old(X0))) [input p3]
8. ! [X0] : ((generous(X0) | ~humble(X0)) <=> (wise(X0) & old(X0))) [input p7]
2... | 0 |
Everyone who is both rich and not generous is wise or not creative. If someone is strong or generous then someone is not funny or not rich and vice versa. Everyone who is either humble or not humble is either kind or not brave and vice versa. Everyone who is wise or not strong is not old or happy and vice versa. Everyo... | Mary is rich. | neutral | (![X]:((rich(X)&~generous(X))=>(wise(X)|~creative(X))))&
((?[X]:((strong(X)|generous(X))))<=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:((humble(X)<~>~humble(X))<=>(kind(X)<~>~brave(X))))&
(![X]:((wise(X)|~strong(X))<=>(~old(X)|happy(X))))&
(![X]:((~brave(X)&wise(X))=>(curious(X)&~strong(X))))&
(![X]:((~patient(X)&quiet(X))... | rich(mary) | [] | null | 0 |
If someone is not funny or not wise then fred is quiet or not funny and vice versa.
Everyone who is either brave or kind is rich and vice versa.
Everyone who is either humble or generous is curious or not rich.
Everyone who is wise is not kind or kind.
Everyone who is both not happy and not funny is either quiet or pat... | John is not generous. | entailment | ((?[X]:((~funny(X)|~wise(X))))<=>((quiet(fred)|~funny(fred))))&
(![X]:((brave(X)<~>kind(X))<=>rich(X)))&
(![X]:((humble(X)<~>generous(X))=>(curious(X)|~rich(X))))&
(![X]:(wise(X)=>(~kind(X)|kind(X))))&
(![X]:((~happy(X)&~funny(X))<=>(quiet(X)<~>patient(X))))&
((?[X]:((old(X)|~rich(X))))<=>((creative(fred)<~>~kind(fred)... | ~generous(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 636018770667914114870458
% SZS output start Proof for 636018770667914114870458
14. ! [X0] : ((wise(X0) | generous(X0)) <=> (~generous(X0) & generous(X0))) [input p13]
25. generous(john) [input hypothesis]
70. ! [X0] : (((wise(X0) | generous(X0)) | (generous(X0) | ~generous(X0))) & ((~gene... | 0 |
If paul is both brave and not creative then someone is both not rich and not humble. Everyone who is funny or kind is not calm. Everyone who is either kind or not rich is not patient or tall and vice versa. If someone is happy or quiet then fred is generous or not quiet. Everyone who is either patient or not happy is e... | Mary is funny. | entailment | (((brave(paul)&~creative(paul)))=>(?[X]:((~rich(X)&~humble(X)))))&
(![X]:((funny(X)|kind(X))=>~calm(X)))&
(![X]:((kind(X)<~>~rich(X))<=>(~patient(X)|tall(X))))&
((?[X]:((happy(X)|quiet(X))))=>((generous(fred)|~quiet(fred))))&
(![X]:((patient(X)<~>~happy(X))=>(~old(X)<~>patient(X))))&
((?[X]:(~old(X)))<=>(?[X]:((brave(X... | funny(mary) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2177891269071442389821715
% SZS output start Proof for 2177891269071442389821715
12. ! [X0] : ((funny(X0) | ~quiet(X0)) <=> (~kind(X0) | quiet(X0))) [input p11]
17. quiet(mary) & strong(mary) [input p16]
23. ~funny(mary) [input hypothesis]
56. ! [X0] : (((funny(X0) | ~quiet(X0)) | (kind(X... | 0 |
If john is not patient or not kind then someone is both brave and old and vice versa.
If susan is not tall or not wise then fred is not funny or not creative.
If someone is rich then fred is funny.
If paul is either not creative or tall then someone is not generous and vice versa.
If someone is both not curious and old... | Paul is tall. | entailment | (((~patient(john)|~kind(john)))<=>(?[X]:((brave(X)&old(X)))))&
(((~tall(susan)|~wise(susan)))=>((~funny(fred)|~creative(fred))))&
((?[X]:(rich(X)))=>(funny(fred)))&
(((~creative(paul)<~>tall(paul)))<=>(?[X]:(~generous(X))))&
((?[X]:((~curious(X)&old(X))))=>((wise(alice)&~tall(alice))))&
((~old(fred))=>(?[X]:(~brave(X))... | tall(paul) | [
"p3",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8467667687787783288517786
% SZS output start Proof for 8467667687787783288517786
4. (~creative(paul) <~> tall(paul)) <=> ? [X0] : ~generous(X0) [input p3]
20. ~generous(fred) [input p19]
23. creative(paul) [input p22]
25. ~tall(paul) [input hypothesis]
42. (((~tall(paul) | creative(paul))... | 0 |
If someone is calm or generous then someone is kind and vice versa. Everyone who is creative is both not creative and not old and vice versa. Everyone who is either brave or generous is either not humble or tall. If someone is kind or creative then lucy is either not old or generous. Everyone who is not kind or rich is... | Fred is not wise. | entailment | ((?[X]:((calm(X)|generous(X))))<=>(?[X]:(kind(X))))&
(![X]:(creative(X)<=>(~creative(X)&~old(X))))&
(![X]:((brave(X)<~>generous(X))=>(~humble(X)<~>tall(X))))&
((?[X]:((kind(X)|creative(X))))=>((~old(lucy)<~>generous(lucy))))&
(![X]:((~kind(X)|rich(X))=>(~kind(X)&~brave(X))))&
(((~funny(lucy)|creative(lucy)))=>((calm(fr... | ~wise(fred) | [
"p4",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5776331253271547847148184
% SZS output start Proof for 5776331253271547847148184
5. ! [X0] : ((rich(X0) | ~kind(X0)) => (~brave(X0) & ~kind(X0))) [input p4]
13. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~rich(X0) | brave(X0))) [input p12]
18. rich(fred) [input p17]
22. wise(fred) [input h... | 0 |
If john is both kind and happy then someone is either not tall or brave and vice versa. Everyone who is not curious or not happy is both kind and calm. If susan is either patient or not tall then someone is both wise and tall and vice versa. Everyone who is both brave and not old is either generous or not quiet. If sus... | Lucy is calm. | entailment | (((kind(john)&happy(john)))<=>(?[X]:((~tall(X)<~>brave(X)))))&
(![X]:((~curious(X)|~happy(X))=>(kind(X)&calm(X))))&
(((patient(susan)<~>~tall(susan)))<=>(?[X]:((wise(X)&tall(X)))))&
(![X]:((brave(X)&~old(X))=>(generous(X)<~>~quiet(X))))&
((~rich(susan))=>((calm(susan)&~creative(susan))))&
(![X]:((rich(X)<~>wise(X))=>(~... | calm(lucy) | [
"p1",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4578413233020108386231946
% SZS output start Proof for 4578413233020108386231946
2. ! [X0] : ((~happy(X0) | ~curious(X0)) => (calm(X0) & kind(X0))) [input p1]
12. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> ~wise(X0)) [input p11]
13. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> happy(X0)) [input p12]
... | 0 |
Everyone who is both not calm and not happy is either old or funny.
Everyone who is not calm or not quiet is both not brave and not curious.
Everyone who is both tall and kind is not quiet and vice versa.
If paul is not patient or not rich then mary is either not strong or not tall.
Everyone who is both funny and wise ... | Fred is not kind. | neutral | (![X]:((~calm(X)&~happy(X))=>(old(X)<~>funny(X))))&
(![X]:((~calm(X)|~quiet(X))=>(~brave(X)&~curious(X))))&
(![X]:((tall(X)&kind(X))<=>~quiet(X)))&
(((~patient(paul)|~rich(paul)))=>((~strong(mary)<~>~tall(mary))))&
(![X]:((funny(X)&wise(X))<=>(~funny(X)&~curious(X))))&
(((~happy(fred)|~generous(fred)))<=>(~funny(mary))... | ~kind(fred) | [] | null | 0 |
Everyone who is both patient and not curious is not creative.
If someone is tall or not old then paul is both brave and not tall and vice versa.
Everyone who is either not wise or creative is both funny and not calm.
If susan is both not humble and not funny then someone is either brave or not generous.
Everyone who is... | Susan is patient. | contradiction | (![X]:((patient(X)&~curious(X))=>~creative(X)))&
((?[X]:((tall(X)|~old(X))))<=>((brave(paul)&~tall(paul))))&
(![X]:((~wise(X)<~>creative(X))=>(funny(X)&~calm(X))))&
(((~humble(susan)&~funny(susan)))=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((quiet(X)|brave(X))=>(wise(X)<~>patient(X))))&
((~wise(paul))=>((tall(alice)... | patient(susan) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p9",
"p10",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3560158082862494950629038
% SZS output start Proof for 3560158082862494950629038
1. ! [X0] : ((~curious(X0) & patient(X0)) => ~creative(X0)) [input p0]
2. ? [X0] : (~old(X0) | tall(X0)) <=> (~tall(paul) & brave(paul)) [input p1]
3. ! [X0] : ((~wise(X0) <~> creative(X0)) => (~calm(X0) & fu... | 0 |
Everyone who is either not strong or not kind is both strong and not calm and vice versa.
If alice is both kind and patient then fred is not happy or not creative and vice versa.
If paul is either not calm or happy then mary is tall.
Everyone who is old or creative is both happy and old.
If john is not kind then someon... | Alice is strong. | contradiction | (![X]:((~strong(X)<~>~kind(X))<=>(strong(X)&~calm(X))))&
(((kind(alice)&patient(alice)))<=>((~happy(fred)|~creative(fred))))&
(((~calm(paul)<~>happy(paul)))=>(tall(mary)))&
(![X]:((old(X)|creative(X))=>(happy(X)&old(X))))&
((~kind(john))=>(?[X]:(kind(X))))&
(![X]:((~creative(X)|~calm(X))<=>(~generous(X)&~strong(X))))&
... | strong(alice) | [
"p5",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 604656251167534078298965
% SZS output start Proof for 604656251167534078298965
6. ! [X0] : ((~calm(X0) | ~creative(X0)) <=> (~strong(X0) & ~generous(X0))) [input p5]
14. ? [X0] : tall(X0) <=> (~calm(alice) <~> ~strong(alice)) [input p13]
17. ? [X0] : (~patient(X0) & tall(X0)) [input p16]
... | 0 |
Everyone who is both patient and rich is both tall and strong and vice versa.
Everyone who is funny or not strong is either calm or brave and vice versa.
Everyone who is quiet is both not calm and not old.
Everyone who is either tall or not creative is either rich or not patient and vice versa.
If fred is either not hu... | Fred is not curious. | entailment | (![X]:((patient(X)&rich(X))<=>(tall(X)&strong(X))))&
(![X]:((funny(X)|~strong(X))<=>(calm(X)<~>brave(X))))&
(![X]:(quiet(X)=>(~calm(X)&~old(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(rich(X)<~>~patient(X))))&
(((~humble(fred)<~>tall(fred)))=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((humble(X)<~>~humble(X))=>kind(X)))&
(![... | ~curious(fred) | [
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8618845801126600853436590
% SZS output start Proof for 8618845801126600853436590
7. ! [X0] : ((old(X0) | curious(X0)) <=> (humble(X0) & ~quiet(X0))) [input p6]
8. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> (funny(X0) | strong(X0))) [input p7]
15. ! [X0] : (humble(X0) => (patient(X0) & funny(... | 0 |
Everyone who is creative is both creative and curious.
Everyone who is either strong or not funny is not quiet or not humble.
If someone is not quiet then alice is kind or calm and vice versa.
Everyone who is creative is either calm or creative and vice versa.
Everyone who is not calm is both old and wise.
If someone i... | Alice is not funny. | entailment | (![X]:(creative(X)=>(creative(X)&curious(X))))&
(![X]:((strong(X)<~>~funny(X))=>(~quiet(X)|~humble(X))))&
((?[X]:(~quiet(X)))<=>((kind(alice)|calm(alice))))&
(![X]:(creative(X)<=>(calm(X)<~>creative(X))))&
(![X]:(~calm(X)=>(old(X)&wise(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~wise(... | ~funny(alice) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2477286788461203780697545
% SZS output start Proof for 2477286788461203780697545
1. ! [X0] : (creative(X0) => (curious(X0) & creative(X0))) [input p0]
4. ! [X0] : (creative(X0) <=> (calm(X0) <~> creative(X0))) [input p3]
5. ! [X0] : (~calm(X0) => (wise(X0) & old(X0))) [input p4]
6. ? [X0]... | 0 |
Everyone who is both not patient and wise is quiet or happy and vice versa.
If someone is kind then someone is not brave.
If john is not happy or tall then someone is not calm or not kind and vice versa.
If someone is either generous or not rich then lucy is both not creative and not patient and vice versa.
Everyone wh... | John is not rich. | neutral | (![X]:((~patient(X)&wise(X))<=>(quiet(X)|happy(X))))&
((?[X]:(kind(X)))=>(?[X]:(~brave(X))))&
(((~happy(john)|tall(john)))<=>(?[X]:((~calm(X)|~kind(X)))))&
((?[X]:((generous(X)<~>~rich(X))))<=>((~creative(lucy)&~patient(lucy))))&
(![X]:((strong(X)&funny(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:(~humble(X)=>~happy(X)))&
... | ~rich(john) | [] | null | 0 |
Everyone who is not creative is both brave and not kind and vice versa.
Everyone who is both not rich and not brave is not old or old and vice versa.
Everyone who is either not calm or humble is not old or funny.
If john is old then alice is either rich or not brave.
If alice is either old or not kind then alice is not... | Susan is not rich. | entailment | (![X]:(~creative(X)<=>(brave(X)&~kind(X))))&
(![X]:((~rich(X)&~brave(X))<=>(~old(X)|old(X))))&
(![X]:((~calm(X)<~>humble(X))=>(~old(X)|funny(X))))&
((old(john))=>((rich(alice)<~>~brave(alice))))&
(((old(alice)<~>~kind(alice)))=>((~happy(alice)|happy(alice))))&
(((rich(fred)<~>old(fred)))=>((~humble(john)&funny(john))))... | ~rich(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4865061532678983641297969
% SZS output start Proof for 4865061532678983641297969
2. ! [X0] : ((~brave(X0) & ~rich(X0)) <=> (old(X0) | ~old(X0))) [input p1]
22. rich(susan) [input hypothesis]
41. ! [X0] : (((~brave(X0) & ~rich(X0)) | (~old(X0) & old(X0))) & ((old(X0) | ~old(X0)) | (brave(X... | 0 |
Everyone who is either not brave or not strong is either funny or happy and vice versa.
Everyone who is not rich or not funny is either not kind or quiet and vice versa.
If mary is happy then alice is not kind or kind.
If john is both not humble and not patient then susan is not curious or curious and vice versa.
If al... | Mary is strong. | neutral | (![X]:((~brave(X)<~>~strong(X))<=>(funny(X)<~>happy(X))))&
(![X]:((~rich(X)|~funny(X))<=>(~kind(X)<~>quiet(X))))&
((happy(mary))=>((~kind(alice)|kind(alice))))&
(((~humble(john)&~patient(john)))<=>((~curious(susan)|curious(susan))))&
((~generous(alice))=>(?[X]:((~curious(X)&patient(X)))))&
(![X]:(kind(X)<=>(~curious(X)... | strong(mary) | [] | null | 0 |
If someone is either creative or funny then alice is both happy and not brave and vice versa. If alice is not tall then mary is calm and vice versa. Everyone who is either not tall or not calm is either brave or not generous and vice versa. Everyone who is both not kind and old is not kind and vice versa. Everyone who ... | Mary is happy. | entailment | ((?[X]:((creative(X)<~>funny(X))))<=>((happy(alice)&~brave(alice))))&
((~tall(alice))<=>(calm(mary)))&
(![X]:((~tall(X)<~>~calm(X))<=>(brave(X)<~>~generous(X))))&
(![X]:((~kind(X)&old(X))<=>~kind(X)))&
(![X]:(~calm(X)<=>rich(X)))&
(((tall(mary)<~>~tall(mary)))<=>((quiet(alice)|~old(alice))))&
(![X]:(happy(X)<=>old(X)))... | happy(mary) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5344447301038851522619191
% SZS output start Proof for 5344447301038851522619191
10. ! [X0] : (~happy(X0) <=> (~tall(X0) <~> ~wise(X0))) [input p9]
14. (~tall(mary) | ~wise(mary)) => (~happy(alice) & happy(alice)) [input p13]
23. ~happy(mary) [input hypothesis]
28. (~happy(alice) & happy(... | 0 |
Everyone who is not calm is both not tall and not quiet.
Everyone who is both curious and not patient is rich and vice versa.
If someone is humble then someone is not wise.
Everyone who is not happy is both patient and brave and vice versa.
Everyone who is funny is not patient or not rich and vice versa.
Everyone who i... | Alice is creative. | neutral | (![X]:(~calm(X)=>(~tall(X)&~quiet(X))))&
(![X]:((curious(X)&~patient(X))<=>rich(X)))&
((?[X]:(humble(X)))=>(?[X]:(~wise(X))))&
(![X]:(~happy(X)<=>(patient(X)&brave(X))))&
(![X]:(funny(X)<=>(~patient(X)|~rich(X))))&
(![X]:(quiet(X)<=>calm(X)))&
((?[X]:((curious(X)&humble(X))))=>(?[X]:((~calm(X)&~happy(X)))))&
((?[X]:(~q... | creative(alice) | [] | null | 0 |
Everyone who is kind is either not quiet or kind and vice versa.
If someone is not calm then mary is not humble or rich.
Everyone who is humble or not funny is both funny and not strong.
If paul is either calm or rich then lucy is both wise and not tall and vice versa.
If someone is generous then someone is not humble ... | Fred is patient. | neutral | (![X]:(kind(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:(~calm(X)))=>((~humble(mary)|rich(mary))))&
(![X]:((humble(X)|~funny(X))=>(funny(X)&~strong(X))))&
(((calm(paul)<~>rich(paul)))<=>((wise(lucy)&~tall(lucy))))&
((?[X]:(generous(X)))<=>(?[X]:(~humble(X))))&
(((~wise(mary)<~>humble(mary)))<=>((~old(susan)&~brave(susan))))&
... | patient(fred) | [] | null | 0 |
If someone is generous or not calm then paul is not tall and vice versa.
If someone is either not quiet or not generous then someone is both quiet and not old and vice versa.
Everyone who is either not tall or not quiet is tall and vice versa.
Everyone who is patient or tall is not happy and vice versa.
Everyone who is... | Mary is not funny. | entailment | ((?[X]:((generous(X)|~calm(X))))<=>(~tall(paul)))&
((?[X]:((~quiet(X)<~>~generous(X))))<=>(?[X]:((quiet(X)&~old(X)))))&
(![X]:((~tall(X)<~>~quiet(X))<=>tall(X)))&
(![X]:((patient(X)|tall(X))<=>~happy(X)))&
(![X]:(~tall(X)<=>quiet(X)))&
(![X]:((~generous(X)|calm(X))<=>(~patient(X)<~>happy(X))))&
(![X]:((~brave(X)&~tall(... | ~funny(mary) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 531954599377300304616069
% SZS output start Proof for 531954599377300304616069
3. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> tall(X0)) [input p2]
5. ! [X0] : (~tall(X0) <=> quiet(X0)) [input p4]
8. ! [X0] : (tall(X0) => (~generous(X0) & ~funny(X0))) [input p7]
23. funny(mary) [input hypothe... | 0 |
Everyone who is either not patient or not calm is patient or not creative.
If someone is both calm and not quiet then someone is creative.
Everyone who is both curious and tall is calm.
Everyone who is both strong and not curious is either not happy or brave and vice versa.
Everyone who is not funny is not patient or n... | Paul is not tall. | neutral | (![X]:((~patient(X)<~>~calm(X))=>(patient(X)|~creative(X))))&
((?[X]:((calm(X)&~quiet(X))))=>(?[X]:(creative(X))))&
(![X]:((curious(X)&tall(X))=>calm(X)))&
(![X]:((strong(X)&~curious(X))<=>(~happy(X)<~>brave(X))))&
(![X]:(~funny(X)=>(~patient(X)|~brave(X))))&
(((humble(paul)<~>~happy(paul)))=>(?[X]:((happy(X)&kind(X)))... | ~tall(paul) | [] | null | 0 |
If alice is not strong or not quiet then alice is both creative and not calm.
Everyone who is either not wise or not happy is not tall and vice versa.
Everyone who is either funny or quiet is both calm and quiet and vice versa.
Everyone who is either not creative or funny is not calm or strong.
If someone is not rich t... | Susan is strong. | entailment | (((~strong(alice)|~quiet(alice)))=>((creative(alice)&~calm(alice))))&
(![X]:((~wise(X)<~>~happy(X))<=>~tall(X)))&
(![X]:((funny(X)<~>quiet(X))<=>(calm(X)&quiet(X))))&
(![X]:((~creative(X)<~>funny(X))=>(~calm(X)|strong(X))))&
((?[X]:(~rich(X)))=>(?[X]:((patient(X)|quiet(X)))))&
((kind(john))=>((tall(fred)&kind(fred))))&... | strong(susan) | [
"p2",
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9120401129046581849171203
% SZS output start Proof for 9120401129046581849171203
3. ! [X0] : ((funny(X0) <~> quiet(X0)) <=> (quiet(X0) & calm(X0))) [input p2]
8. ! [X0] : (strong(X0) <=> (patient(X0) | ~funny(X0))) [input p7]
11. ! [X0] : (~brave(X0) <=> (~calm(X0) | ~quiet(X0))) [input p... | 0 |
If someone is either not rich or not generous then someone is either quiet or funny.
Everyone who is both strong and happy is not funny or brave and vice versa.
Everyone who is not strong is not wise and vice versa.
If someone is not tall or tall then mary is either wise or funny.
Everyone who is either not calm or hum... | Alice is strong. | entailment | ((?[X]:((~rich(X)<~>~generous(X))))=>(?[X]:((quiet(X)<~>funny(X)))))&
(![X]:((strong(X)&happy(X))<=>(~funny(X)|brave(X))))&
(![X]:(~strong(X)<=>~wise(X)))&
((?[X]:((~tall(X)|tall(X))))=>((wise(mary)<~>funny(mary))))&
(![X]:((~calm(X)<~>humble(X))=>~calm(X)))&
((?[X]:((~strong(X)|~wise(X))))=>(?[X]:((wise(X)|~tall(X))))... | strong(alice) | [
"p1",
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 665979820063294987572183
% SZS output start Proof for 665979820063294987572183
2. ! [X0] : ((happy(X0) & strong(X0)) <=> (brave(X0) | ~funny(X0))) [input p1]
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
7. ! [X0] : ((curious(X0) & happy(X0)) <=> (brave(X0) | funny(X0))) [input p6]
9... | 0 |
If someone is not strong or not creative then john is both not creative and wise and vice versa.
Everyone who is kind or not humble is both not quiet and calm and vice versa.
If someone is both brave and calm then mary is patient or not generous and vice versa.
Everyone who is not old or not humble is not tall or happy... | Susan is not kind. | entailment | ((?[X]:((~strong(X)|~creative(X))))<=>((~creative(john)&wise(john))))&
(![X]:((kind(X)|~humble(X))<=>(~quiet(X)&calm(X))))&
((?[X]:((brave(X)&calm(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~old(X)|~humble(X))<=>(~tall(X)|happy(X))))&
(![X]:((curious(X)&quiet(X))=>~brave(X)))&
(![X]:(~old(X)=>(~tall(X)&~happy(... | ~kind(susan) | [
"p0",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4616054511104374827933424
% SZS output start Proof for 4616054511104374827933424
1. ? [X0] : (~creative(X0) | ~strong(X0)) <=> (wise(john) & ~creative(john)) [input p0]
7. ? [X0] : (~creative(X0) | brave(X0)) <=> (~kind(susan) & brave(susan)) [input p6]
22. ? [X0] : (~patient(X0) & ~stron... | 0 |
If someone is happy or not patient then mary is both tall and kind and vice versa. Everyone who is not funny is not generous or not brave and vice versa. Everyone who is happy is both not creative and rich. Everyone who is not wise or quiet is either not strong or humble and vice versa. If someone is not humble then al... | Alice is not kind. | contradiction | ((?[X]:((happy(X)|~patient(X))))<=>((tall(mary)&kind(mary))))&
(![X]:(~funny(X)<=>(~generous(X)|~brave(X))))&
(![X]:(happy(X)=>(~creative(X)&rich(X))))&
(![X]:((~wise(X)|quiet(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:(~humble(X)))<=>((~calm(alice)|~tall(alice))))&
(![X]:((~humble(X)<~>~calm(X))<=>(~kind(X)|rich(X))))&
... | ~kind(alice) | [
"p0",
"p2",
"p9",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3897951663022167813982894
% SZS output start Proof for 3897951663022167813982894
1. ? [X0] : (~patient(X0) | happy(X0)) <=> (kind(mary) & tall(mary)) [input p0]
3. ! [X0] : (happy(X0) => (rich(X0) & ~creative(X0))) [input p2]
10. ! [X0] : ((creative(X0) & ~curious(X0)) <=> tall(X0)) [inpu... | 0 |
Everyone who is either not quiet or kind is both not humble and not happy. Everyone who is rich or kind is not generous or funny and vice versa. If someone is either not creative or funny then mary is both not quiet and not curious. If susan is kind or not old then lucy is wise or not curious. Everyone who is not calm ... | John is patient. | contradiction | (![X]:((~quiet(X)<~>kind(X))=>(~humble(X)&~happy(X))))&
(![X]:((rich(X)|kind(X))<=>(~generous(X)|funny(X))))&
((?[X]:((~creative(X)<~>funny(X))))=>((~quiet(mary)&~curious(mary))))&
(((kind(susan)|~old(susan)))=>((wise(lucy)|~curious(lucy))))&
(![X]:((~calm(X)|brave(X))<=>(funny(X)&rich(X))))&
(![X]:((happy(X)|~happy(X)... | patient(john) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4949770076868673524502215
% SZS output start Proof for 4949770076868673524502215
7. ! [X0] : ((rich(X0) | ~tall(X0)) => (wise(X0) & ~wise(X0))) [input p6]
12. ! [X0] : (~patient(X0) <=> (humble(X0) | ~rich(X0))) [input p11]
21. patient(john) [input hypothesis]
25. ! [X0] : (rich(X0) => (w... | 0 |
Everyone who is quiet is rich or not patient.
If someone is quiet or tall then someone is either not humble or humble.
Everyone who is either not kind or kind is both not funny and happy and vice versa.
Everyone who is not calm or patient is both humble and strong.
Everyone who is quiet is not rich or not calm and vice... | Susan is humble. | contradiction | (![X]:(quiet(X)=>(rich(X)|~patient(X))))&
((?[X]:((quiet(X)|tall(X))))=>(?[X]:((~humble(X)<~>humble(X)))))&
(![X]:((~kind(X)<~>kind(X))<=>(~funny(X)&happy(X))))&
(![X]:((~calm(X)|patient(X))=>(humble(X)&strong(X))))&
(![X]:(quiet(X)<=>(~rich(X)|~calm(X))))&
(![X]:((~patient(X)|strong(X))<=>(generous(X)<~>patient(X))))&... | humble(susan) | [
"p4",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7670559339304692606915630
% SZS output start Proof for 7670559339304692606915630
5. ! [X0] : (quiet(X0) <=> (~calm(X0) | ~rich(X0))) [input p4]
7. ! [X0] : ((~rich(X0) | curious(X0)) => (calm(X0) & ~patient(X0))) [input p6]
11. ? [X0] : (~funny(X0) & ~quiet(X0)) <=> ? [X0] : (humble(X0) &... | 0 |
If susan is not creative or funny then someone is happy or generous and vice versa.
Everyone who is either old or not creative is not wise and vice versa.
Everyone who is either not strong or not kind is not old and vice versa.
Everyone who is not generous or humble is brave or funny.
If mary is either not happy or fun... | Paul is not old. | neutral | (((~creative(susan)|funny(susan)))<=>(?[X]:((happy(X)|generous(X)))))&
(![X]:((old(X)<~>~creative(X))<=>~wise(X)))&
(![X]:((~strong(X)<~>~kind(X))<=>~old(X)))&
(![X]:((~generous(X)|humble(X))=>(brave(X)|funny(X))))&
(((~happy(mary)<~>funny(mary)))=>((brave(lucy)&rich(lucy))))&
((?[X]:((~patient(X)|kind(X))))<=>((happy(... | ~old(paul) | [] | null | 0 |
If paul is either not humble or generous then someone is both patient and tall. If alice is either not happy or calm then someone is not wise or not quiet and vice versa. Everyone who is either not funny or wise is both happy and quiet and vice versa. Everyone who is old is not kind or creative. If someone is not patie... | Alice is kind. | entailment | (((~humble(paul)<~>generous(paul)))=>(?[X]:((patient(X)&tall(X)))))&
(((~happy(alice)<~>calm(alice)))<=>(?[X]:((~wise(X)|~quiet(X)))))&
(![X]:((~funny(X)<~>wise(X))<=>(happy(X)&quiet(X))))&
(![X]:(old(X)=>(~kind(X)|creative(X))))&
((?[X]:((~patient(X)|calm(X))))<=>(~generous(alice)))&
(![X]:((~wise(X)<~>~strong(X))=>ha... | kind(alice) | [
"p4",
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5539512191839124832405877
% SZS output start Proof for 5539512191839124832405877
5. ? [X0] : (calm(X0) | ~patient(X0)) <=> ~generous(alice) [input p4]
9. ! [X0] : ((kind(X0) & happy(X0)) <=> ~generous(X0)) [input p8]
12. ! [X0] : ((~rich(X0) <~> ~calm(X0)) => (~humble(X0) | ~rich(X0))) [i... | 0 |
If susan is both calm and not humble then lucy is both not curious and not old. If john is either curious or not patient then someone is both not rich and tall and vice versa. If someone is not curious then susan is both not rich and brave and vice versa. Everyone who is not wise or not curious is not generous and vice... | John is rich. | neutral | (((calm(susan)&~humble(susan)))=>((~curious(lucy)&~old(lucy))))&
(((curious(john)<~>~patient(john)))<=>(?[X]:((~rich(X)&tall(X)))))&
((?[X]:(~curious(X)))<=>((~rich(susan)&brave(susan))))&
(![X]:((~wise(X)|~curious(X))<=>~generous(X)))&
(((kind(paul)<~>~patient(paul)))<=>((~brave(lucy)|brave(lucy))))&
(![X]:((rich(X)|q... | rich(john) | [] | null | 0 |
Everyone who is either not generous or patient is both strong and not quiet.
Everyone who is tall is not generous and vice versa.
If lucy is either not quiet or not wise then someone is not creative and vice versa.
If mary is either kind or happy then lucy is both quiet and wise.
Everyone who is not happy or brave is n... | Lucy is not strong. | contradiction | (![X]:((~generous(X)<~>patient(X))=>(strong(X)&~quiet(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(((~quiet(lucy)<~>~wise(lucy)))<=>(?[X]:(~creative(X))))&
(((kind(mary)<~>happy(mary)))=>((quiet(lucy)&wise(lucy))))&
(![X]:((~happy(X)|brave(X))=>(~curious(X)|~generous(X))))&
((?[X]:((~tall(X)<~>patient(X))))=>((~tall(alice)... | ~strong(lucy) | [
"p0",
"p1",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4208859943094704393171348
% SZS output start Proof for 4208859943094704393171348
1. ! [X0] : ((~generous(X0) <~> patient(X0)) => (~quiet(X0) & strong(X0))) [input p0]
2. ! [X0] : (tall(X0) <=> ~generous(X0)) [input p1]
6. ? [X0] : (~tall(X0) <~> patient(X0)) => (tall(alice) & ~tall(alice)... | 0 |
If someone is creative then john is quiet or old.
Everyone who is not creative or strong is either not quiet or humble and vice versa.
Everyone who is not brave is creative and vice versa.
Everyone who is not funny or humble is both calm and rich.
If john is either not quiet or not generous then john is creative.
If so... | Lucy is patient. | contradiction | ((?[X]:(creative(X)))=>((quiet(john)|old(john))))&
(![X]:((~creative(X)|strong(X))<=>(~quiet(X)<~>humble(X))))&
(![X]:(~brave(X)<=>creative(X)))&
(![X]:((~funny(X)|humble(X))=>(calm(X)&rich(X))))&
(((~quiet(john)<~>~generous(john)))=>(creative(john)))&
((?[X]:((~brave(X)&patient(X))))<=>((kind(fred)&~humble(fred))))&
(... | patient(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1537801212084927715839484
% SZS output start Proof for 1537801212084927715839484
2. ! [X0] : ((strong(X0) | ~creative(X0)) <=> (~quiet(X0) <~> humble(X0))) [input p1]
4. ! [X0] : ((humble(X0) | ~funny(X0)) => (rich(X0) & calm(X0))) [input p3]
6. ? [X0] : (patient(X0) & ~brave(X0)) <=> (~h... | 0 |
Everyone who is both humble and strong is old and vice versa. Everyone who is both patient and not kind is not kind. Everyone who is either not happy or strong is happy or humble and vice versa. If someone is humble or not wise then someone is rich. Everyone who is not patient is either not quiet or kind and vice versa... | Alice is not creative. | contradiction | (![X]:((humble(X)&strong(X))<=>old(X)))&
(![X]:((patient(X)&~kind(X))=>~kind(X)))&
(![X]:((~happy(X)<~>strong(X))<=>(happy(X)|humble(X))))&
((?[X]:((humble(X)|~wise(X))))=>(?[X]:(rich(X))))&
(![X]:(~patient(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:((strong(X)<~>calm(X))))<=>((curious(susan)|~generous(susan))))&
((?[X]:(qui... | ~creative(alice) | [
"p2",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6625445821957785039679763
% SZS output start Proof for 6625445821957785039679763
3. ! [X0] : ((~happy(X0) <~> strong(X0)) <=> (humble(X0) | happy(X0))) [input p2]
13. ! [X0] : ((humble(X0) | old(X0)) => (brave(X0) & curious(X0))) [input p12]
15. ! [X0] : ((~creative(X0) | ~old(X0)) <=> (~... | 0 |
Everyone who is both tall and not funny is not strong or not quiet and vice versa.
Everyone who is funny or calm is not wise or brave.
Everyone who is either not creative or brave is both generous and not kind and vice versa.
Everyone who is not humble is both kind and curious and vice versa.
If john is both not funny ... | Lucy is kind. | contradiction | (![X]:((tall(X)&~funny(X))<=>(~strong(X)|~quiet(X))))&
(![X]:((funny(X)|calm(X))=>(~wise(X)|brave(X))))&
(![X]:((~creative(X)<~>brave(X))<=>(generous(X)&~kind(X))))&
(![X]:(~humble(X)<=>(kind(X)&curious(X))))&
(((~funny(john)&quiet(john)))=>(?[X]:((humble(X)&~calm(X)))))&
((?[X]:(curious(X)))<=>(?[X]:(strong(X))))&
((?... | kind(lucy) | [
"p0",
"p9",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3368888873332195217289941
% SZS output start Proof for 3368888873332195217289941
1. ! [X0] : ((~funny(X0) & tall(X0)) <=> (~quiet(X0) | ~strong(X0))) [input p0]
10. ? [X0] : ~funny(X0) => (humble(lucy) & ~patient(lucy)) [input p9]
18. ? [X0] : (~curious(X0) & ~quiet(X0)) [input p17]
20. k... | 0 |
If someone is old then lucy is either tall or humble.
Everyone who is either humble or not old is not calm or not patient.
Everyone who is both not rich and old is either tall or not happy and vice versa.
If fred is wise then someone is brave and vice versa.
Everyone who is happy or not quiet is both not humble and not... | Lucy is not tall. | entailment | ((?[X]:(old(X)))=>((tall(lucy)<~>humble(lucy))))&
(![X]:((humble(X)<~>~old(X))=>(~calm(X)|~patient(X))))&
(![X]:((~rich(X)&old(X))<=>(tall(X)<~>~happy(X))))&
((wise(fred))<=>(?[X]:(brave(X))))&
(![X]:((happy(X)|~quiet(X))=>(~humble(X)&~tall(X))))&
(![X]:(~rich(X)<=>(funny(X)<~>~patient(X))))&
(![X]:((humble(X)|quiet(X)... | ~tall(lucy) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5107826206808752019163953
% SZS output start Proof for 5107826206808752019163953
5. ! [X0] : ((~quiet(X0) | happy(X0)) => (~tall(X0) & ~humble(X0))) [input p4]
9. ! [X0] : ((~patient(X0) <~> ~happy(X0)) <=> (~patient(X0) <~> ~tall(X0))) [input p8]
21. tall(lucy) [input hypothesis]
26. ! [... | 0 |
Everyone who is either not curious or old is not quiet or kind.
Everyone who is both not generous and not wise is either not old or not curious and vice versa.
Everyone who is not happy is kind or humble and vice versa.
Everyone who is happy or wise is brave or curious.
If paul is not brave then lucy is both not old an... | Alice is kind. | contradiction | (![X]:((~curious(X)<~>old(X))=>(~quiet(X)|kind(X))))&
(![X]:((~generous(X)&~wise(X))<=>(~old(X)<~>~curious(X))))&
(![X]:(~happy(X)<=>(kind(X)|humble(X))))&
(![X]:((happy(X)|wise(X))=>(brave(X)|curious(X))))&
((~brave(paul))<=>((~old(lucy)&~funny(lucy))))&
(![X]:((~happy(X)<~>~rich(X))=>~patient(X)))&
((?[X]:(tall(X)))<... | kind(alice) | [
"p1",
"p3",
"p7",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5851718650658732478161277
% SZS output start Proof for 5851718650658732478161277
2. ! [X0] : ((~wise(X0) & ~generous(X0)) <=> (~old(X0) <~> ~curious(X0))) [input p1]
4. ! [X0] : ((wise(X0) | happy(X0)) => (curious(X0) | brave(X0))) [input p3]
8. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> (ri... | 0 |
If someone is generous or not quiet then susan is not brave or old and vice versa.
If someone is patient or generous then someone is either not kind or not funny and vice versa.
Everyone who is not quiet is both not old and tall and vice versa.
Everyone who is tall or not curious is either happy or not brave and vice v... | Fred is not old. | entailment | ((?[X]:((generous(X)|~quiet(X))))<=>((~brave(susan)|old(susan))))&
((?[X]:((patient(X)|generous(X))))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:(~quiet(X)<=>(~old(X)&tall(X))))&
(![X]:((tall(X)|~curious(X))<=>(happy(X)<~>~brave(X))))&
(((strong(john)|~brave(john)))<=>((funny(john)<~>patient(john))))&
(![X]:((~calm(X)<~... | ~old(fred) | [
"p3",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3060394291658725255510810
% SZS output start Proof for 3060394291658725255510810
4. ! [X0] : ((~curious(X0) | tall(X0)) <=> (happy(X0) <~> ~brave(X0))) [input p3]
17. old(fred) <~> curious(fred) [input p16]
23. ~brave(fred) <~> ~happy(fred) [input p22]
24. old(fred) [input hypothesis]
49.... | 0 |
If lucy is not funny then someone is both not calm and patient.
If someone is humble or not calm then fred is both not brave and quiet.
If someone is either funny or not tall then mary is not humble or not curious.
Everyone who is both creative and old is rich.
Everyone who is generous is both rich and strong and vice ... | Fred is patient. | entailment | ((~funny(lucy))=>(?[X]:((~calm(X)&patient(X)))))&
((?[X]:((humble(X)|~calm(X))))=>((~brave(fred)&quiet(fred))))&
((?[X]:((funny(X)<~>~tall(X))))=>((~humble(mary)|~curious(mary))))&
(![X]:((creative(X)&old(X))=>rich(X)))&
(![X]:(generous(X)<=>(rich(X)&strong(X))))&
((?[X]:(creative(X)))=>(?[X]:((funny(X)<~>brave(X)))))&... | patient(fred) | [
"p1",
"p3",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 675433002106690000494715
% SZS output start Proof for 675433002106690000494715
2. ? [X0] : (~calm(X0) | humble(X0)) => (quiet(fred) & ~brave(fred)) [input p1]
4. ! [X0] : ((old(X0) & creative(X0)) => rich(X0)) [input p3]
12. ! [X0] : ((~strong(X0) | ~patient(X0)) => (~quiet(X0) & funny(X0... | 0 |
Everyone who is generous is not quiet and vice versa.
Everyone who is either not humble or strong is both not tall and not creative and vice versa.
Everyone who is not generous or not funny is not old and vice versa.
Everyone who is both patient and not funny is either tall or not funny and vice versa.
If someone is bo... | Fred is not rich. | entailment | (![X]:(generous(X)<=>~quiet(X)))&
(![X]:((~humble(X)<~>strong(X))<=>(~tall(X)&~creative(X))))&
(![X]:((~generous(X)|~funny(X))<=>~old(X)))&
(![X]:((patient(X)&~funny(X))<=>(tall(X)<~>~funny(X))))&
((?[X]:((calm(X)&~tall(X))))<=>(?[X]:((~humble(X)|rich(X)))))&
(![X]:((strong(X)<~>kind(X))<=>~tall(X)))&
((?[X]:((old(X)<~... | ~rich(fred) | [
"p8",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8936714290828046636568556
% SZS output start Proof for 8936714290828046636568556
9. ! [X0] : ((~quiet(X0) | wise(X0)) <=> calm(X0)) [input p8]
13. ! [X0] : ((~strong(X0) <~> generous(X0)) => (~calm(X0) & humble(X0))) [input p12]
16. ! [X0] : ((kind(X0) | rich(X0)) <=> wise(X0)) [input p15... | 0 |
If someone is both not funny and not calm then someone is both not patient and curious and vice versa. If john is both not curious and creative then fred is happy and vice versa. Everyone who is rich is patient. Everyone who is not rich or old is either patient or not strong. Everyone who is not generous is both not ha... | Fred is calm. | neutral | ((?[X]:((~funny(X)&~calm(X))))<=>(?[X]:((~patient(X)&curious(X)))))&
(((~curious(john)&creative(john)))<=>(happy(fred)))&
(![X]:(rich(X)=>patient(X)))&
(![X]:((~rich(X)|old(X))=>(patient(X)<~>~strong(X))))&
(![X]:(~generous(X)=>(~happy(X)&creative(X))))&
(![X]:((~patient(X)&~funny(X))<=>(~patient(X)<~>~old(X))))&
((?[X... | calm(fred) | [] | null | 0 |
If paul is not patient or humble then lucy is either not generous or rich and vice versa.
If someone is both rich and generous then someone is not kind or brave and vice versa.
Everyone who is both not creative and wise is not tall and vice versa.
If mary is both not quiet and not tall then mary is both not calm and no... | Susan is not creative. | entailment | (((~patient(paul)|humble(paul)))<=>((~generous(lucy)<~>rich(lucy))))&
((?[X]:((rich(X)&generous(X))))<=>(?[X]:((~kind(X)|brave(X)))))&
(![X]:((~creative(X)&wise(X))<=>~tall(X)))&
(((~quiet(mary)&~tall(mary)))<=>((~calm(mary)&~patient(mary))))&
(![X]:(creative(X)<=>(~wise(X)|~humble(X))))&
((?[X]:((~humble(X)|~brave(X))... | ~creative(susan) | [
"p2",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8888109313526252152343369
% SZS output start Proof for 8888109313526252152343369
3. ! [X0] : ((wise(X0) & ~creative(X0)) <=> ~tall(X0)) [input p2]
9. ! [X0] : ((~brave(X0) <~> creative(X0)) <=> (~tall(X0) | ~creative(X0))) [input p8]
12. ! [X0] : (rich(X0) <=> ~brave(X0)) [input p11]
19. ... | 0 |
Everyone who is not happy is either rich or not curious and vice versa. Everyone who is either brave or funny is not kind. Everyone who is not funny or generous is both not happy and happy and vice versa. Everyone who is quiet or wise is rich or not curious and vice versa. Everyone who is quiet is either quiet or happy... | Fred is curious. | entailment | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>funny(X))=>~kind(X)))&
(![X]:((~funny(X)|generous(X))<=>(~happy(X)&happy(X))))&
(![X]:((quiet(X)|wise(X))<=>(rich(X)|~curious(X))))&
(![X]:(quiet(X)<=>(quiet(X)<~>happy(X))))&
(![X]:(brave(X)=>(happy(X)&~rich(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(~curio... | curious(fred) | [
"p0",
"p2",
"p4",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1978073933995518132855685
% SZS output start Proof for 1978073933995518132855685
1. ! [X0] : (~happy(X0) <=> (rich(X0) <~> ~curious(X0))) [input p0]
3. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (happy(X0) & ~happy(X0))) [input p2]
5. ! [X0] : (quiet(X0) <=> (quiet(X0) <~> happy(X0))) [inp... | 0 |
Everyone who is not tall is rich or tall and vice versa.
If someone is rich then someone is not calm or rich and vice versa.
Everyone who is creative or not curious is either not kind or wise and vice versa.
If someone is not brave or not quiet then someone is not humble or not strong.
If alice is either kind or not cr... | Fred is curious. | contradiction | (![X]:(~tall(X)<=>(rich(X)|tall(X))))&
((?[X]:(rich(X)))<=>(?[X]:((~calm(X)|rich(X)))))&
(![X]:((creative(X)|~curious(X))<=>(~kind(X)<~>wise(X))))&
((?[X]:((~brave(X)|~quiet(X))))=>(?[X]:((~humble(X)|~strong(X)))))&
(((kind(alice)<~>~creative(alice)))=>(?[X]:(tall(X))))&
(![X]:(tall(X)=>~quiet(X)))&
(![X]:((~humble(X)&... | curious(fred) | [
"p0",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8307701550025319157835270
% SZS output start Proof for 8307701550025319157835270
1. ! [X0] : (~tall(X0) <=> (tall(X0) | rich(X0))) [input p0]
9. ? [X0] : (creative(X0) & ~tall(X0)) <=> (~quiet(mary) & tall(mary)) [input p8]
12. ! [X0] : ((~curious(X0) & wise(X0)) <=> (~tall(X0) <~> ~stron... | 0 |
Everyone who is both not rich and calm is both funny and not brave.
If fred is either not curious or not patient then someone is either not funny or old.
Everyone who is not patient is either not old or curious.
Everyone who is not kind or not strong is either not tall or curious and vice versa.
Everyone who is generou... | Paul is not kind. | contradiction | (![X]:((~rich(X)&calm(X))=>(funny(X)&~brave(X))))&
(((~curious(fred)<~>~patient(fred)))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:(~patient(X)=>(~old(X)<~>curious(X))))&
(![X]:((~kind(X)|~strong(X))<=>(~tall(X)<~>curious(X))))&
(![X]:(generous(X)=>(~calm(X)&happy(X))))&
((?[X]:((~calm(X)&patient(X))))<=>(~quiet(paul)))&
(... | ~kind(paul) | [
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7047525759231328698869192
% SZS output start Proof for 7047525759231328698869192
11. ! [X0] : (brave(X0) => (~generous(X0) & curious(X0))) [input p10]
13. (~kind(paul) & ~curious(paul)) <=> ? [X0] : (~happy(X0) | curious(X0)) [input p12]
15. ! [X0] : ((~old(X0) & brave(X0)) <=> (~rich(X0)... | 0 |
Everyone who is not strong is either curious or funny.
If someone is either quiet or generous then someone is not old or not quiet.
Everyone who is both quiet and not brave is either curious or funny and vice versa.
If someone is either not curious or quiet then someone is both funny and brave.
If someone is funny then... | Susan is not calm. | contradiction | (![X]:(~strong(X)=>(curious(X)<~>funny(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>(?[X]:((~old(X)|~quiet(X)))))&
(![X]:((quiet(X)&~brave(X))<=>(curious(X)<~>funny(X))))&
((?[X]:((~curious(X)<~>quiet(X))))=>(?[X]:((funny(X)&brave(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:((~wise(X)<~>~funn... | ~calm(susan) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p8",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8375649482256141162660641
% SZS output start Proof for 8375649482256141162660641
1. ! [X0] : (~strong(X0) => (curious(X0) <~> funny(X0))) [input p0]
3. ! [X0] : ((~brave(X0) & quiet(X0)) <=> (curious(X0) <~> funny(X0))) [input p2]
4. ? [X0] : (~curious(X0) <~> quiet(X0)) => ? [X0] : (brav... | 0 |
If susan is not quiet then someone is strong and vice versa. If someone is either not patient or calm then someone is either calm or funny. Everyone who is not curious or not creative is both not happy and curious. Everyone who is not rich is both not quiet and not calm and vice versa. Everyone who is tall or curious i... | Fred is rich. | entailment | ((~quiet(susan))<=>(?[X]:(strong(X))))&
((?[X]:((~patient(X)<~>calm(X))))=>(?[X]:((calm(X)<~>funny(X)))))&
(![X]:((~curious(X)|~creative(X))=>(~happy(X)&curious(X))))&
(![X]:(~rich(X)<=>(~quiet(X)&~calm(X))))&
(![X]:((tall(X)|curious(X))=>(calm(X)<~>~kind(X))))&
(![X]:((strong(X)|~calm(X))=>(curious(X)<~>strong(X))))&
... | rich(fred) | [
"p0",
"p2",
"p5",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9038101259803935643153228
% SZS output start Proof for 9038101259803935643153228
1. ~quiet(susan) <=> ? [X0] : strong(X0) [input p0]
3. ! [X0] : ((~creative(X0) | ~curious(X0)) => (curious(X0) & ~happy(X0))) [input p2]
6. ! [X0] : ((~calm(X0) | strong(X0)) => (curious(X0) <~> strong(X0)))... | 0 |
If lucy is wise or curious then someone is both happy and not creative. Everyone who is either not old or happy is humble and vice versa. Everyone who is both not patient and not humble is strong or not quiet and vice versa. If someone is old or wise then someone is brave or not brave and vice versa. Everyone who is wi... | Mary is strong. | contradiction | (((wise(lucy)|curious(lucy)))=>(?[X]:((happy(X)&~creative(X)))))&
(![X]:((~old(X)<~>happy(X))<=>humble(X)))&
(![X]:((~patient(X)&~humble(X))<=>(strong(X)|~quiet(X))))&
((?[X]:((old(X)|wise(X))))<=>(?[X]:((brave(X)|~brave(X)))))&
(![X]:((wise(X)|tall(X))<=>(happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>wise(X))<=>(~stron... | strong(mary) | [
"p4",
"p5",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3864395607130060617853924
% SZS output start Proof for 3864395607130060617853924
5. ! [X0] : ((tall(X0) | wise(X0)) <=> (~brave(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (strong(X0) | ~strong(X0))) [input p5]
8. ! [X0] : ((brave(X0) | ~curious(X0)) => quiet... | 0 |
If mary is not happy or quiet then paul is either humble or not strong and vice versa.
If susan is strong or not strong then someone is either tall or generous and vice versa.
If someone is both generous and not old then susan is kind.
If someone is not generous then someone is either generous or creative.
If lucy is t... | Fred is not patient. | entailment | (((~happy(mary)|quiet(mary)))<=>((humble(paul)<~>~strong(paul))))&
(((strong(susan)|~strong(susan)))<=>(?[X]:((tall(X)<~>generous(X)))))&
((?[X]:((generous(X)&~old(X))))=>(kind(susan)))&
((?[X]:(~generous(X)))=>(?[X]:((generous(X)<~>creative(X)))))&
((tall(lucy))<=>(?[X]:((~brave(X)&funny(X)))))&
(![X]:((~funny(X)|quie... | ~patient(fred) | [
"p5",
"p6",
"p7",
"p9",
"p11",
"p12",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2623459747394429217313724
% SZS output start Proof for 2623459747394429217313724
6. ! [X0] : ((quiet(X0) | ~funny(X0)) => ~happy(X0)) [input p5]
7. ! [X0] : ((humble(X0) | tall(X0)) => (~patient(X0) & ~kind(X0))) [input p6]
8. ! [X0] : ((creative(X0) <~> ~brave(X0)) => (rich(X0) & quiet(X... | 0 |
If someone is either not calm or not tall then someone is either not humble or rich and vice versa.
Everyone who is both kind and not calm is not wise.
Everyone who is either old or not brave is wise or not rich.
Everyone who is both not old and curious is either curious or creative.
Everyone who is not generous is eit... | Fred is funny. | neutral | ((?[X]:((~calm(X)<~>~tall(X))))<=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((kind(X)&~calm(X))=>~wise(X)))&
(![X]:((old(X)<~>~brave(X))=>(wise(X)|~rich(X))))&
(![X]:((~old(X)&curious(X))=>(curious(X)<~>creative(X))))&
(![X]:(~generous(X)<=>(funny(X)<~>~rich(X))))&
((?[X]:((strong(X)|~funny(X))))<=>((funny(alice)<~>~crea... | funny(fred) | [] | null | 0 |
Everyone who is either not rich or not calm is not brave or not rich and vice versa.
Everyone who is not old or wise is either wise or not patient and vice versa.
If someone is not happy then alice is both not tall and not happy.
Everyone who is calm is both patient and not patient and vice versa.
If someone is both cu... | Alice is strong. | entailment | (![X]:((~rich(X)<~>~calm(X))<=>(~brave(X)|~rich(X))))&
(![X]:((~old(X)|wise(X))<=>(wise(X)<~>~patient(X))))&
((?[X]:(~happy(X)))=>((~tall(alice)&~happy(alice))))&
(![X]:(calm(X)<=>(patient(X)&~patient(X))))&
((?[X]:((curious(X)&calm(X))))=>(?[X]:((calm(X)<~>~patient(X)))))&
((curious(paul))<=>((~kind(alice)<~>~humble(a... | strong(alice) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 89160913880793427892147
% SZS output start Proof for 89160913880793427892147
1. ! [X0] : ((~rich(X0) <~> ~calm(X0)) <=> (~rich(X0) | ~brave(X0))) [input p0]
2. ! [X0] : ((wise(X0) | ~old(X0)) <=> (wise(X0) <~> ~patient(X0))) [input p1]
3. ? [X0] : ~happy(X0) => (~happy(alice) & ~tall(alic... | 0 |
If john is both not kind and not rich then mary is either creative or happy and vice versa.
Everyone who is kind is strong.
Everyone who is patient is either not old or not calm and vice versa.
Everyone who is either not quiet or happy is not patient or wise.
Everyone who is funny or not brave is both wise and not gene... | Lucy is creative. | neutral | (((~kind(john)&~rich(john)))<=>((creative(mary)<~>happy(mary))))&
(![X]:(kind(X)=>strong(X)))&
(![X]:(patient(X)<=>(~old(X)<~>~calm(X))))&
(![X]:((~quiet(X)<~>happy(X))=>(~patient(X)|wise(X))))&
(![X]:((funny(X)|~brave(X))=>(wise(X)&~generous(X))))&
(((~creative(alice)&old(alice)))=>(calm(alice)))&
(((quiet(lucy)<~>~ki... | creative(lucy) | [] | null | 0 |
Everyone who is wise or happy is both not generous and not tall.
If someone is both not old and creative then someone is both not tall and not quiet and vice versa.
Everyone who is not rich or calm is both rich and brave and vice versa.
If someone is not brave then someone is not quiet.
Everyone who is both not brave a... | Alice is not brave. | entailment | (![X]:((wise(X)|happy(X))=>(~generous(X)&~tall(X))))&
((?[X]:((~old(X)&creative(X))))<=>(?[X]:((~tall(X)&~quiet(X)))))&
(![X]:((~rich(X)|calm(X))<=>(rich(X)&brave(X))))&
((?[X]:(~brave(X)))=>(?[X]:(~quiet(X))))&
(![X]:((~brave(X)&~creative(X))<=>(~patient(X)<~>brave(X))))&
(![X]:((quiet(X)&~brave(X))<=>funny(X)))&
(![X... | ~brave(alice) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6058131186897786121784545
% SZS output start Proof for 6058131186897786121784545
6. ! [X0] : ((~brave(X0) & quiet(X0)) <=> funny(X0)) [input p5]
7. ! [X0] : (funny(X0) <=> (brave(X0) | creative(X0))) [input p6]
23. brave(alice) [input hypothesis]
49. ! [X0] : (((~brave(X0) & quiet(X0)) | ... | 0 |
Everyone who is either not generous or not humble is not brave or kind.
If someone is curious or not patient then mary is either not happy or not humble.
Everyone who is either not humble or not generous is either not strong or not humble and vice versa.
If someone is humble then susan is either not rich or patient.
Ev... | Lucy is calm. | entailment | (![X]:((~generous(X)<~>~humble(X))=>(~brave(X)|kind(X))))&
((?[X]:((curious(X)|~patient(X))))=>((~happy(mary)<~>~humble(mary))))&
(![X]:((~humble(X)<~>~generous(X))<=>(~strong(X)<~>~humble(X))))&
((?[X]:(humble(X)))=>((~rich(susan)<~>patient(susan))))&
(![X]:((~tall(X)&~funny(X))=>(brave(X)|patient(X))))&
(![X]:((~happ... | calm(lucy) | [
"p9",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1847520521938253729366086
% SZS output start Proof for 1847520521938253729366086
10. ! [X0] : (~strong(X0) => strong(X0)) [input p9]
11. ! [X0] : ((~funny(X0) & rich(X0)) <=> (~calm(X0) | ~wise(X0))) [input p10]
24. ~rich(lucy) | ~strong(lucy) [input p23]
25. ~calm(lucy) [input hypothesis... | 0 |
If someone is either happy or not creative then someone is either not humble or not strong.
If someone is calm or old then someone is not wise or wise and vice versa.
Everyone who is not funny or rich is both not calm and tall.
Everyone who is not old is kind and vice versa.
If john is not strong then someone is creati... | Lucy is quiet. | contradiction | ((?[X]:((happy(X)<~>~creative(X))))=>(?[X]:((~humble(X)<~>~strong(X)))))&
((?[X]:((calm(X)|old(X))))<=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:((~funny(X)|rich(X))=>(~calm(X)&tall(X))))&
(![X]:(~old(X)<=>kind(X)))&
((~strong(john))<=>(?[X]:((creative(X)|~patient(X)))))&
(((~curious(paul)<~>~rich(paul)))<=>((~kind(lucy)&hum... | quiet(lucy) | [
"p7",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1947197180351244128194532
% SZS output start Proof for 1947197180351244128194532
8. ! [X0] : (~humble(X0) <=> (~strong(X0) <~> ~humble(X0))) [input p7]
9. ! [X0] : ((generous(X0) <~> ~funny(X0)) <=> strong(X0)) [input p8]
10. ! [X0] : ((~quiet(X0) <~> strong(X0)) => (~old(X0) & ~calm(X0))... | 0 |
Everyone who is not creative or funny is not funny and vice versa.
Everyone who is calm or not humble is not quiet.
Everyone who is not curious or old is both creative and not funny.
If susan is kind then paul is generous or rich and vice versa.
Everyone who is humble is either not calm or happy and vice versa.
Everyon... | Fred is not generous. | neutral | (![X]:((~creative(X)|funny(X))<=>~funny(X)))&
(![X]:((calm(X)|~humble(X))=>~quiet(X)))&
(![X]:((~curious(X)|old(X))=>(creative(X)&~funny(X))))&
((kind(susan))<=>((generous(paul)|rich(paul))))&
(![X]:(humble(X)<=>(~calm(X)<~>happy(X))))&
(![X]:((~rich(X)<~>~funny(X))<=>(~rich(X)|~funny(X))))&
(![X]:((old(X)|~quiet(X))<=... | ~generous(fred) | [] | null | 0 |
Everyone who is either creative or calm is either not curious or old and vice versa. Everyone who is not creative is either not happy or not wise. Everyone who is not happy or not curious is kind or humble. Everyone who is kind or not tall is not wise or patient. If paul is either not tall or tall then paul is not tall... | Alice is not tall. | neutral | (![X]:((creative(X)<~>calm(X))<=>(~curious(X)<~>old(X))))&
(![X]:(~creative(X)=>(~happy(X)<~>~wise(X))))&
(![X]:((~happy(X)|~curious(X))=>(kind(X)|humble(X))))&
(![X]:((kind(X)|~tall(X))=>(~wise(X)|patient(X))))&
(((~tall(paul)<~>tall(paul)))=>((~tall(paul)|~patient(paul))))&
(![X]:((~kind(X)&~old(X))<=>(curious(X)<~>~... | ~tall(alice) | [] | null | 0 |
Everyone who is not brave or rich is both generous and old.
Everyone who is both not strong and not happy is funny or generous and vice versa.
If someone is old then someone is both patient and rich and vice versa.
If someone is either not strong or not generous then someone is both not creative and creative.
If someon... | Fred is funny. | entailment | (![X]:((~brave(X)|rich(X))=>(generous(X)&old(X))))&
(![X]:((~strong(X)&~happy(X))<=>(funny(X)|generous(X))))&
((?[X]:(old(X)))<=>(?[X]:((patient(X)&rich(X)))))&
((?[X]:((~strong(X)<~>~generous(X))))=>(?[X]:((~creative(X)&creative(X)))))&
((?[X]:(~tall(X)))<=>((patient(fred)&~quiet(fred))))&
((?[X]:((~wise(X)|~tall(X)))... | funny(fred) | [
"p0",
"p1",
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5778618107400349923556827
% SZS output start Proof for 5778618107400349923556827
1. ! [X0] : ((rich(X0) | ~brave(X0)) => (old(X0) & generous(X0))) [input p0]
2. ! [X0] : ((~happy(X0) & ~strong(X0)) <=> (generous(X0) | funny(X0))) [input p1]
4. ? [X0] : (~strong(X0) <~> ~generous(X0)) => ?... | 0 |
Everyone who is not humble or old is not brave or not patient and vice versa.
Everyone who is not calm is either generous or not creative.
Everyone who is either humble or not calm is not tall.
If fred is curious then someone is not rich or not generous.
Everyone who is not old is either not funny or rich and vice vers... | Susan is not rich. | entailment | (![X]:((~humble(X)|old(X))<=>(~brave(X)|~patient(X))))&
(![X]:(~calm(X)=>(generous(X)<~>~creative(X))))&
(![X]:((humble(X)<~>~calm(X))=>~tall(X)))&
((curious(fred))=>(?[X]:((~rich(X)|~generous(X)))))&
(![X]:(~old(X)<=>(~funny(X)<~>rich(X))))&
((~brave(susan))<=>(?[X]:(curious(X))))&
(![X]:((~rich(X)|generous(X))<=>(hap... | ~rich(susan) | [
"p6",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 836125677444499140594800
% SZS output start Proof for 836125677444499140594800
7. ! [X0] : ((generous(X0) | ~rich(X0)) <=> (strong(X0) & happy(X0))) [input p6]
10. ! [X0] : ((patient(X0) <~> happy(X0)) => (~rich(X0) & strong(X0))) [input p9]
18. ~happy(susan) <~> ~patient(susan) [input p1... | 0 |
Everyone who is old or wise is both not happy and calm and vice versa.
If lucy is both quiet and not tall then lucy is not rich.
Everyone who is both not old and patient is strong or curious and vice versa.
If someone is tall then mary is not creative and vice versa.
If someone is not quiet then someone is either not q... | John is generous. | neutral | (![X]:((old(X)|wise(X))<=>(~happy(X)&calm(X))))&
(((quiet(lucy)&~tall(lucy)))=>(~rich(lucy)))&
(![X]:((~old(X)&patient(X))<=>(strong(X)|curious(X))))&
((?[X]:(tall(X)))<=>(~creative(mary)))&
((?[X]:(~quiet(X)))<=>(?[X]:((~quiet(X)<~>tall(X)))))&
(![X]:((~rich(X)<~>~humble(X))<=>(patient(X)<~>~rich(X))))&
(![X]:((quiet(... | generous(john) | [] | null | 0 |
If someone is both not funny and kind then someone is tall and vice versa.
If someone is happy then susan is both not calm and not happy and vice versa.
If someone is either tall or not curious then lucy is both calm and not tall.
Everyone who is both not humble and not funny is not happy or old.
Everyone who is old or... | Mary is not humble. | contradiction | ((?[X]:((~funny(X)&kind(X))))<=>(?[X]:(tall(X))))&
((?[X]:(happy(X)))<=>((~calm(susan)&~happy(susan))))&
((?[X]:((tall(X)<~>~curious(X))))=>((calm(lucy)&~tall(lucy))))&
(![X]:((~humble(X)&~funny(X))=>(~happy(X)|old(X))))&
(![X]:((old(X)|~strong(X))=>(quiet(X)&~tall(X))))&
(![X]:((~tall(X)&~old(X))<=>(~humble(X)<~>~wise... | ~humble(mary) | [
"p4",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2711865393327222270928504
% SZS output start Proof for 2711865393327222270928504
5. ! [X0] : ((~strong(X0) | old(X0)) => (~tall(X0) & quiet(X0))) [input p4]
7. ! [X0] : ((calm(X0) | quiet(X0)) <=> (~quiet(X0) & ~tall(X0))) [input p6]
10. ? [X0] : (kind(X0) & old(X0)) <=> (~calm(mary) | ~h... | 0 |
If someone is either calm or curious then someone is both calm and not humble.
If john is both quiet and old then someone is creative or humble and vice versa.
Everyone who is both not kind and not quiet is not kind or tall.
Everyone who is not curious or patient is not rich and vice versa.
Everyone who is not generous... | Alice is wise. | neutral | ((?[X]:((calm(X)<~>curious(X))))=>(?[X]:((calm(X)&~humble(X)))))&
(((quiet(john)&old(john)))<=>(?[X]:((creative(X)|humble(X)))))&
(![X]:((~kind(X)&~quiet(X))=>(~kind(X)|tall(X))))&
(![X]:((~curious(X)|patient(X))<=>~rich(X)))&
(![X]:((~generous(X)|old(X))=>(~rich(X)&strong(X))))&
((brave(paul))<=>((quiet(alice)&~wise(a... | wise(alice) | [] | null | 0 |
Everyone who is creative is old or not quiet.
If mary is brave or funny then paul is both creative and humble.
If paul is both generous and rich then someone is not wise and vice versa.
If alice is both not generous and tall then mary is not brave or not calm.
Everyone who is brave or not brave is not rich and vice ver... | Paul is calm. | contradiction | (![X]:(creative(X)=>(old(X)|~quiet(X))))&
(((brave(mary)|funny(mary)))=>((creative(paul)&humble(paul))))&
(((generous(paul)&rich(paul)))<=>(?[X]:(~wise(X))))&
(((~generous(alice)&tall(alice)))=>((~brave(mary)|~calm(mary))))&
(![X]:((brave(X)|~brave(X))<=>~rich(X)))&
(![X]:(old(X)<=>patient(X)))&
(![X]:((happy(X)|~kind(... | calm(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6958806882512396910524231
% SZS output start Proof for 6958806882512396910524231
11. ! [X0] : ((calm(X0) <~> old(X0)) <=> old(X0)) [input p10]
24. calm(paul) [input hypothesis]
56. ! [X0] : ((((~old(X0) | ~calm(X0)) & (old(X0) | calm(X0))) | ~old(X0)) & (old(X0) | ((calm(X0) | ~old(X0)) &... | 0 |
If someone is patient then lucy is either generous or kind and vice versa. Everyone who is either wise or not wise is both old and creative and vice versa. If fred is both calm and not patient then someone is either not old or strong. If susan is not kind or not brave then mary is both not tall and brave and vice versa... | Mary is not wise. | entailment | ((?[X]:(patient(X)))<=>((generous(lucy)<~>kind(lucy))))&
(![X]:((wise(X)<~>~wise(X))<=>(old(X)&creative(X))))&
(((calm(fred)&~patient(fred)))=>(?[X]:((~old(X)<~>strong(X)))))&
(((~kind(susan)|~brave(susan)))<=>((~tall(mary)&brave(mary))))&
((?[X]:((curious(X)|strong(X))))<=>(?[X]:((funny(X)&creative(X)))))&
((?[X]:((cu... | ~wise(mary) | [
"p3",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2864062838486673717351667
% SZS output start Proof for 2864062838486673717351667
4. (~brave(susan) | ~kind(susan)) <=> (brave(mary) & ~tall(mary)) [input p3]
9. ! [X0] : (brave(X0) <=> (~wise(X0) | ~calm(X0))) [input p8]
11. ! [X0] : ((patient(X0) | brave(X0)) <=> (~calm(X0) <~> wise(X0))... | 0 |
If someone is not kind then susan is not wise or strong. Everyone who is either not wise or calm is funny or not patient and vice versa. Everyone who is either not creative or generous is both not old and patient and vice versa. Everyone who is creative is not funny and vice versa. Everyone who is kind or creative is b... | Fred is not funny. | entailment | ((?[X]:(~kind(X)))=>((~wise(susan)|strong(susan))))&
(![X]:((~wise(X)<~>calm(X))<=>(funny(X)|~patient(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(~old(X)&patient(X))))&
(![X]:(creative(X)<=>~funny(X)))&
(![X]:((kind(X)|creative(X))<=>(creative(X)&calm(X))))&
(((wise(alice)|~humble(alice)))=>((~wise(john)<~>~curious(j... | ~funny(fred) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8935732838831480755731352
% SZS output start Proof for 8935732838831480755731352
2. ! [X0] : ((~wise(X0) <~> calm(X0)) <=> (~patient(X0) | funny(X0))) [input p1]
3. ! [X0] : ((~creative(X0) <~> generous(X0)) <=> (patient(X0) & ~old(X0))) [input p2]
4. ! [X0] : (creative(X0) <=> ~funny(X0)... | 0 |
Everyone who is not patient or not rich is both not brave and not calm and vice versa.
If alice is brave or not brave then someone is both happy and kind.
If john is both calm and not curious then someone is not calm or not creative and vice versa.
Everyone who is both wise and patient is either not wise or not tall an... | Lucy is old. | neutral | (![X]:((~patient(X)|~rich(X))<=>(~brave(X)&~calm(X))))&
(((brave(alice)|~brave(alice)))=>(?[X]:((happy(X)&kind(X)))))&
(((calm(john)&~curious(john)))<=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:((wise(X)&patient(X))<=>(~wise(X)<~>~tall(X))))&
(![X]:((~humble(X)|generous(X))=>(~funny(X)&funny(X))))&
(![X]:(~humble(X)=>(k... | old(lucy) | [] | null | 0 |
Everyone who is either not kind or tall is not wise. If paul is either not tall or happy then someone is not tall or not strong and vice versa. If someone is not creative or not strong then john is tall and vice versa. Everyone who is kind or not funny is patient or old and vice versa. Everyone who is either wise or no... | John is strong. | entailment | (![X]:((~kind(X)<~>tall(X))=>~wise(X)))&
(((~tall(paul)<~>happy(paul)))<=>(?[X]:((~tall(X)|~strong(X)))))&
((?[X]:((~creative(X)|~strong(X))))<=>(tall(john)))&
(![X]:((kind(X)|~funny(X))<=>(patient(X)|old(X))))&
(![X]:((wise(X)<~>~curious(X))=>(~humble(X)<~>~curious(X))))&
(![X]:((strong(X)&happy(X))=>~wise(X)))&
((?[X... | strong(john) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1306916343587636474267291
% SZS output start Proof for 1306916343587636474267291
3. ? [X0] : (~strong(X0) | ~creative(X0)) <=> tall(john) [input p2]
13. ! [X0] : (~strong(X0) => ~tall(X0)) [input p12]
25. ~strong(john) [input hypothesis]
36. ! [X0] : (~tall(X0) | strong(X0)) [ennf transfo... | 0 |
Everyone who is not brave is either happy or patient. Everyone who is not calm is not brave or rich. Everyone who is not wise or not brave is not strong or not funny and vice versa. If susan is either humble or funny then john is not curious and vice versa. Everyone who is both brave and happy is either happy or curiou... | Susan is kind. | neutral | (![X]:(~brave(X)=>(happy(X)<~>patient(X))))&
(![X]:(~calm(X)=>(~brave(X)|rich(X))))&
(![X]:((~wise(X)|~brave(X))<=>(~strong(X)|~funny(X))))&
(((humble(susan)<~>funny(susan)))<=>(~curious(john)))&
(![X]:((brave(X)&happy(X))=>(happy(X)<~>curious(X))))&
(![X]:(calm(X)<=>(quiet(X)<~>generous(X))))&
(((~old(mary)|~rich(mary... | kind(susan) | [] | null | 0 |
If someone is both humble and not brave then someone is both not humble and not generous.
Everyone who is not quiet is both brave and not patient.
If someone is not funny or funny then mary is not brave and vice versa.
Everyone who is either not funny or brave is both patient and wise.
Everyone who is either funny or n... | Fred is happy. | contradiction | ((?[X]:((humble(X)&~brave(X))))=>(?[X]:((~humble(X)&~generous(X)))))&
(![X]:(~quiet(X)=>(brave(X)&~patient(X))))&
((?[X]:((~funny(X)|funny(X))))<=>(~brave(mary)))&
(![X]:((~funny(X)<~>brave(X))=>(patient(X)&wise(X))))&
(![X]:((funny(X)<~>~rich(X))<=>(~patient(X)&~happy(X))))&
((?[X]:((~humble(X)<~>brave(X))))<=>(?[X]:(... | happy(fred) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7917069541385858320650243
% SZS output start Proof for 7917069541385858320650243
20. ~funny(fred) & ~happy(fred) [input p19]
24. happy(fred) [input hypothesis]
122. ~happy(fred) [cnf transformation 20]
127. happy(fred) [cnf transformation 24]
252. $false [subsumption resolution 127,122]
%... | 0 |
Everyone who is not humble or not calm is not kind or tall and vice versa. If someone is both not tall and happy then fred is both not funny and strong and vice versa. Everyone who is both not happy and creative is wise and vice versa. If john is not curious then alice is not funny or not happy and vice versa. If someo... | John is not calm. | contradiction | (![X]:((~humble(X)|~calm(X))<=>(~kind(X)|tall(X))))&
((?[X]:((~tall(X)&happy(X))))<=>((~funny(fred)&strong(fred))))&
(![X]:((~happy(X)&creative(X))<=>wise(X)))&
((~curious(john))<=>((~funny(alice)|~happy(alice))))&
((?[X]:((kind(X)|~rich(X))))<=>(?[X]:((~wise(X)&creative(X)))))&
(((~funny(alice)<~>wise(alice)))=>(?[X]:... | ~calm(john) | [
"p3",
"p11",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 25098764606597769273527
% SZS output start Proof for 25098764606597769273527
4. ~curious(john) <=> (~happy(alice) | ~funny(alice)) [input p3]
12. (strong(susan) | wise(susan)) <=> (~curious(alice) & patient(alice)) [input p11]
13. ! [X0] : ((funny(X0) | kind(X0)) => (~funny(X0) | curious(... | 0 |
If susan is generous or not tall then susan is both rich and wise and vice versa.
Everyone who is both not quiet and not creative is either calm or creative and vice versa.
If someone is happy then paul is calm or creative and vice versa.
If paul is patient then mary is either not humble or kind.
If paul is either not ... | John is not strong. | entailment | (((generous(susan)|~tall(susan)))<=>((rich(susan)&wise(susan))))&
(![X]:((~quiet(X)&~creative(X))<=>(calm(X)<~>creative(X))))&
((?[X]:(happy(X)))<=>((calm(paul)|creative(paul))))&
((patient(paul))=>((~humble(mary)<~>kind(mary))))&
(((~old(paul)<~>creative(paul)))<=>(?[X]:((~happy(X)<~>~patient(X)))))&
(![X]:(~humble(X)... | ~strong(john) | [
"p1",
"p5",
"p6",
"p7",
"p9",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6617923368202356946405601
% SZS output start Proof for 6617923368202356946405601
2. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (calm(X0) <~> creative(X0))) [input p1]
6. ! [X0] : (~humble(X0) <=> (creative(X0) | ~brave(X0))) [input p5]
7. ? [X0] : (patient(X0) & curious(X0)) <=> ? [X0] : ... | 0 |
If paul is both not wise and rich then john is both old and calm and vice versa.
Everyone who is both tall and not patient is humble.
Everyone who is not humble or generous is wise and vice versa.
If lucy is not kind or not calm then someone is not creative and vice versa.
Everyone who is not rich is both not old and r... | Lucy is rich. | entailment | (((~wise(paul)&rich(paul)))<=>((old(john)&calm(john))))&
(![X]:((tall(X)&~patient(X))=>humble(X)))&
(![X]:((~humble(X)|generous(X))<=>wise(X)))&
(((~kind(lucy)|~calm(lucy)))<=>(?[X]:(~creative(X))))&
(![X]:(~rich(X)<=>(~old(X)&rich(X))))&
(![X]:((~happy(X)<~>~tall(X))=>(funny(X)<~>~generous(X))))&
(((~rich(susan)|~crea... | rich(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 928189799588622487655428
% SZS output start Proof for 928189799588622487655428
5. ! [X0] : (~rich(X0) <=> (rich(X0) & ~old(X0))) [input p4]
24. ~rich(lucy) [input hypothesis]
42. ! [X0] : ((~rich(X0) | (~rich(X0) | old(X0))) & ((rich(X0) & ~old(X0)) | rich(X0))) [nnf transformation 5]
43.... | 0 |
Everyone who is either not strong or old is both strong and not tall. Everyone who is patient or not calm is both not wise and old. If john is funny or curious then lucy is either generous or tall. If someone is not patient then someone is not generous. If someone is kind then someone is either not happy or not strong.... | Mary is tall. | contradiction | (![X]:((~strong(X)<~>old(X))=>(strong(X)&~tall(X))))&
(![X]:((patient(X)|~calm(X))=>(~wise(X)&old(X))))&
(((funny(john)|curious(john)))=>((generous(lucy)<~>tall(lucy))))&
((?[X]:(~patient(X)))=>(?[X]:(~generous(X))))&
((?[X]:(kind(X)))=>(?[X]:((~happy(X)<~>~strong(X)))))&
(![X]:((old(X)<~>~humble(X))<=>(~curious(X)&~pa... | tall(mary) | [
"p0",
"p1",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7063545107849088494493180
% SZS output start Proof for 7063545107849088494493180
1. ! [X0] : ((~strong(X0) <~> old(X0)) => (~tall(X0) & strong(X0))) [input p0]
2. ! [X0] : ((~calm(X0) | patient(X0)) => (old(X0) & ~wise(X0))) [input p1]
8. rich(mary) => (~calm(mary) & generous(mary)) [inpu... | 0 |
Everyone who is both creative and not funny is both not quiet and not creative. If alice is both brave and generous then susan is either kind or not happy and vice versa. If fred is curious or creative then susan is either not happy or tall and vice versa. Everyone who is not kind or humble is funny. If someone is not ... | Alice is creative. | contradiction | (![X]:((creative(X)&~funny(X))=>(~quiet(X)&~creative(X))))&
(((brave(alice)&generous(alice)))<=>((kind(susan)<~>~happy(susan))))&
(((curious(fred)|creative(fred)))<=>((~happy(susan)<~>tall(susan))))&
(![X]:((~kind(X)|humble(X))=>funny(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((~old(X)<~>humble(X)))))&
(![X]:(~old(X)<=>(stron... | creative(alice) | [
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1180389696957741566929036
% SZS output start Proof for 1180389696957741566929036
6. ! [X0] : (~old(X0) <=> (strong(X0) <~> ~old(X0))) [input p5]
22. ~strong(alice) <~> creative(alice) [input p21]
25. creative(alice) [input hypothesis]
49. ! [X0] : ((~old(X0) | ((strong(X0) | old(X0)) & (~... | 0 |
If paul is both not tall and patient then someone is either not creative or curious and vice versa. Everyone who is not humble is either not creative or old and vice versa. Everyone who is both calm and not patient is patient or funny and vice versa. Everyone who is wise is either not kind or not humble and vice versa.... | Lucy is creative. | entailment | (((~tall(paul)&patient(paul)))<=>(?[X]:((~creative(X)<~>curious(X)))))&
(![X]:(~humble(X)<=>(~creative(X)<~>old(X))))&
(![X]:((calm(X)&~patient(X))<=>(patient(X)|funny(X))))&
(![X]:(wise(X)<=>(~kind(X)<~>~humble(X))))&
(![X]:((patient(X)&creative(X))<=>(~tall(X)|wise(X))))&
(((quiet(fred)&calm(fred)))=>(?[X]:(patient(X... | creative(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p7",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3895320028664753676853624
% SZS output start Proof for 3895320028664753676853624
1. (patient(paul) & ~tall(paul)) <=> ? [X0] : (~creative(X0) <~> curious(X0)) [input p0]
2. ! [X0] : (~humble(X0) <=> (~creative(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~patient(X0) & calm(X0)) <=> (funny(... | 0 |
Everyone who is both strong and creative is either curious or generous and vice versa.
If someone is either creative or humble then someone is either not wise or not quiet.
Everyone who is humble is not funny or happy and vice versa.
If someone is either not tall or happy then paul is either humble or not humble and vi... | Lucy is humble. | entailment | (![X]:((strong(X)&creative(X))<=>(curious(X)<~>generous(X))))&
((?[X]:((creative(X)<~>humble(X))))=>(?[X]:((~wise(X)<~>~quiet(X)))))&
(![X]:(humble(X)<=>(~funny(X)|happy(X))))&
((?[X]:((~tall(X)<~>happy(X))))<=>((humble(paul)<~>~humble(paul))))&
(((~quiet(paul)<~>~brave(paul)))=>(wise(alice)))&
(![X]:((~humble(X)|stron... | humble(lucy) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5899739949040236163352762
% SZS output start Proof for 5899739949040236163352762
3. ! [X0] : (humble(X0) <=> (happy(X0) | ~funny(X0))) [input p2]
6. ! [X0] : ((strong(X0) | ~humble(X0)) <=> (~funny(X0) & ~calm(X0))) [input p5]
24. ~humble(lucy) [input hypothesis]
40. ! [X0] : ((humble(X0)... | 0 |
If paul is not rich then someone is calm and vice versa.
If someone is quiet then someone is wise or not creative and vice versa.
If mary is not creative or not generous then lucy is either brave or kind.
If alice is either not creative or brave then someone is not calm and vice versa.
Everyone who is generous or not c... | Paul is generous. | entailment | ((~rich(paul))<=>(?[X]:(calm(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((wise(X)|~creative(X)))))&
(((~creative(mary)|~generous(mary)))=>((brave(lucy)<~>kind(lucy))))&
(((~creative(alice)<~>brave(alice)))<=>(?[X]:(~calm(X))))&
(![X]:((generous(X)|~curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(~brave(X)&creative(X))))&
(![X]:((... | generous(paul) | [
"p0",
"p9",
"p10",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6564957538686870152196111
% SZS output start Proof for 6564957538686870152196111
1. ~rich(paul) <=> ? [X0] : calm(X0) [input p0]
10. ! [X0] : ((~old(X0) <~> ~happy(X0)) <=> (~calm(X0) <~> ~happy(X0))) [input p9]
11. ! [X0] : ((~rich(X0) <~> calm(X0)) => generous(X0)) [input p10]
19. old(m... | 0 |
Everyone who is both not wise and not brave is either generous or tall. If someone is both not patient and not happy then someone is curious and vice versa. Everyone who is either not brave or calm is generous or not funny. If someone is both not tall and not patient then paul is either not calm or not curious and vice... | Paul is not kind. | contradiction | (![X]:((~wise(X)&~brave(X))=>(generous(X)<~>tall(X))))&
((?[X]:((~patient(X)&~happy(X))))<=>(?[X]:(curious(X))))&
(![X]:((~brave(X)<~>calm(X))=>(generous(X)|~funny(X))))&
((?[X]:((~tall(X)&~patient(X))))<=>((~calm(paul)<~>~curious(paul))))&
(![X]:(quiet(X)=>(~funny(X)|~creative(X))))&
(((old(fred)<~>rich(fred)))=>(?[X]... | ~kind(paul) | [
"p8",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2395208783305457772699259
% SZS output start Proof for 2395208783305457772699259
9. ! [X0] : (tall(X0) <=> ~wise(X0)) [input p8]
11. ! [X0] : ((wise(X0) & ~tall(X0)) <=> (calm(X0) | brave(X0))) [input p10]
12. ! [X0] : (brave(X0) <=> (~curious(X0) | tall(X0))) [input p11]
20. wise(paul) <... | 0 |
If lucy is happy or kind then someone is humble or not rich and vice versa. Everyone who is both not quiet and funny is not brave or patient and vice versa. Everyone who is tall or rich is rich or quiet and vice versa. If alice is either not creative or humble then someone is either humble or old and vice versa. Everyo... | John is calm. | entailment | (((happy(lucy)|kind(lucy)))<=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((~quiet(X)&funny(X))<=>(~brave(X)|patient(X))))&
(![X]:((tall(X)|rich(X))<=>(rich(X)|quiet(X))))&
(((~creative(alice)<~>humble(alice)))<=>(?[X]:((humble(X)<~>old(X)))))&
(![X]:((generous(X)|~quiet(X))<=>(happy(X)<~>strong(X))))&
(![X]:((~funny(X)<~>~h... | calm(john) | [
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 56503277505757164186945
% SZS output start Proof for 56503277505757164186945
10. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> brave(X0)) [input p9]
16. ! [X0] : ((~calm(X0) & brave(X0)) <=> (calm(X0) & wise(X0))) [input p15]
23. ~tall(john) & ~strong(john) [input p22]
25. ~calm(john) [input hy... | 0 |
If someone is either generous or not funny then lucy is either not tall or not funny and vice versa.
If someone is both strong and not tall then mary is either wise or not kind.
Everyone who is either wise or happy is both wise and creative.
If someone is not funny then someone is either not tall or creative and vice v... | Susan is not creative. | entailment | ((?[X]:((generous(X)<~>~funny(X))))<=>((~tall(lucy)<~>~funny(lucy))))&
((?[X]:((strong(X)&~tall(X))))=>((wise(mary)<~>~kind(mary))))&
(![X]:((wise(X)<~>happy(X))=>(wise(X)&creative(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((~tall(X)<~>creative(X)))))&
(![X]:((kind(X)<~>funny(X))<=>(curious(X)&patient(X))))&
(![X]:((~quiet(X)... | ~creative(susan) | [
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5538458439480295258362876
% SZS output start Proof for 5538458439480295258362876
7. ! [X0] : ((tall(X0) <~> curious(X0)) => (~patient(X0) & ~curious(X0))) [input p6]
8. ! [X0] : (calm(X0) <=> creative(X0)) [input p7]
15. (tall(paul) | ~curious(paul)) <=> ~calm(susan) [input p14]
25. creat... | 0 |
If alice is kind then someone is not creative.
Everyone who is either not patient or funny is brave or creative and vice versa.
Everyone who is patient is both wise and patient.
Everyone who is either happy or brave is both not generous and rich and vice versa.
If lucy is not tall then lucy is humble and vice versa.
Ev... | Lucy is not wise. | contradiction | ((kind(alice))=>(?[X]:(~creative(X))))&
(![X]:((~patient(X)<~>funny(X))<=>(brave(X)|creative(X))))&
(![X]:(patient(X)=>(wise(X)&patient(X))))&
(![X]:((happy(X)<~>brave(X))<=>(~generous(X)&rich(X))))&
((~tall(lucy))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X)))&
((~strong(paul))=>(?[X]:(quiet(X)... | ~wise(lucy) | [
"p2",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8676890679785914071968996
% SZS output start Proof for 8676890679785914071968996
3. ! [X0] : (patient(X0) => (patient(X0) & wise(X0))) [input p2]
6. ! [X0] : ((~strong(X0) <~> ~creative(X0)) <=> ~creative(X0)) [input p5]
9. ! [X0] : (strong(X0) <=> (~quiet(X0) & creative(X0))) [input p8]
... | 0 |
Everyone who is either brave or not curious is wise or not tall and vice versa.
Everyone who is either patient or calm is not strong.
Everyone who is not patient is not curious or not brave.
Everyone who is either curious or not generous is either old or not quiet.
Everyone who is either quiet or not curious is both no... | Lucy is not brave. | entailment | (![X]:((brave(X)<~>~curious(X))<=>(wise(X)|~tall(X))))&
(![X]:((patient(X)<~>calm(X))=>~strong(X)))&
(![X]:(~patient(X)=>(~curious(X)|~brave(X))))&
(![X]:((curious(X)<~>~generous(X))=>(old(X)<~>~quiet(X))))&
(![X]:((quiet(X)<~>~curious(X))<=>(~brave(X)&~old(X))))&
(![X]:((happy(X)|quiet(X))=>(quiet(X)&~funny(X))))&
((?... | ~brave(lucy) | [
"p0",
"p1",
"p2",
"p5",
"p8",
"p9",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1181584213730763874196796
% SZS output start Proof for 1181584213730763874196796
1. ! [X0] : ((brave(X0) <~> ~curious(X0)) <=> (~tall(X0) | wise(X0))) [input p0]
2. ! [X0] : ((patient(X0) <~> calm(X0)) => ~strong(X0)) [input p1]
3. ! [X0] : (~patient(X0) => (~brave(X0) | ~curious(X0))) [i... | 0 |
Everyone who is both rich and not rich is not happy.
If susan is not creative or not quiet then susan is both not happy and not creative and vice versa.
Everyone who is not funny or not wise is both not tall and rich and vice versa.
Everyone who is not curious is not kind or not tall.
Everyone who is both strong and pa... | Lucy is happy. | contradiction | (![X]:((rich(X)&~rich(X))=>~happy(X)))&
(((~creative(susan)|~quiet(susan)))<=>((~happy(susan)&~creative(susan))))&
(![X]:((~funny(X)|~wise(X))<=>(~tall(X)&rich(X))))&
(![X]:(~curious(X)=>(~kind(X)|~tall(X))))&
(![X]:((strong(X)&patient(X))<=>~funny(X)))&
(![X]:((~brave(X)&~calm(X))<=>(~calm(X)&creative(X))))&
((?[X]:((... | happy(lucy) | [
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1860578178517154757529762
% SZS output start Proof for 1860578178517154757529762
13. ? [X0] : (humble(X0) | kind(X0)) <=> (~happy(lucy) & brave(lucy)) [input p12]
21. ? [X0] : kind(X0) [input p20]
25. happy(lucy) [input hypothesis]
63. (? [X0] : (humble(X0) | kind(X0)) | (happy(lucy) | ~b... | 0 |
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