premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is rich or not old then someone is both not humble and tall and vice versa.
Everyone who is creative or not wise is kind.
Everyone who is not happy is not quiet or funny and vice versa.
Everyone who is funny or not quiet is kind.
If someone is rich then fred is either curious or not old and vice versa.
Every... | Alice is not kind. | contradiction | ((?[X]:((rich(X)|~old(X))))<=>(?[X]:((~humble(X)&tall(X)))))&
(![X]:((creative(X)|~wise(X))=>kind(X)))&
(![X]:(~happy(X)<=>(~quiet(X)|funny(X))))&
(![X]:((funny(X)|~quiet(X))=>kind(X)))&
((?[X]:(rich(X)))<=>((curious(fred)<~>~old(fred))))&
(![X]:((wise(X)&~creative(X))<=>(kind(X)|~creative(X))))&
(((~kind(paul)|brave(p... | ~kind(alice) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3602271156161140581217664
% SZS output start Proof for 3602271156161140581217664
2. ! [X0] : ((~wise(X0) | creative(X0)) => kind(X0)) [input p1]
3. ! [X0] : (~happy(X0) <=> (funny(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) | funny(X0)) => kind(X0)) [input p3]
6. ! [X0] : ((~cr... | 0 |
Everyone who is not old or not calm is either not old or curious and vice versa. If mary is either not strong or rich then someone is either not humble or not brave and vice versa. If john is either creative or tall then someone is not happy. If susan is not curious or creative then paul is not creative and vice versa.... | Lucy is rich. | neutral | (![X]:((~old(X)|~calm(X))<=>(~old(X)<~>curious(X))))&
(((~strong(mary)<~>rich(mary)))<=>(?[X]:((~humble(X)<~>~brave(X)))))&
(((creative(john)<~>tall(john)))=>(?[X]:(~happy(X))))&
(((~curious(susan)|creative(susan)))<=>(~creative(paul)))&
(![X]:(curious(X)<=>(calm(X)&~quiet(X))))&
(![X]:((generous(X)<~>~calm(X))<=>~kind... | rich(lucy) | [] | null | 0 |
If someone is both brave and happy then susan is kind or not humble.
Everyone who is both creative and not generous is generous.
Everyone who is both tall and wise is both not creative and generous.
Everyone who is funny or not generous is both calm and creative.
If someone is generous then lucy is either patient or cr... | Lucy is creative. | contradiction | ((?[X]:((brave(X)&happy(X))))=>((kind(susan)|~humble(susan))))&
(![X]:((creative(X)&~generous(X))=>generous(X)))&
(![X]:((tall(X)&wise(X))=>(~creative(X)&generous(X))))&
(![X]:((funny(X)|~generous(X))=>(calm(X)&creative(X))))&
((?[X]:(generous(X)))=>((patient(lucy)<~>creative(lucy))))&
(![X]:(humble(X)=>(brave(X)&~curi... | creative(lucy) | [
"p1",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8849513553230599649930983
% SZS output start Proof for 8849513553230599649930983
2. ! [X0] : ((~generous(X0) & creative(X0)) => generous(X0)) [input p1]
4. ! [X0] : ((~generous(X0) | funny(X0)) => (creative(X0) & calm(X0))) [input p3]
5. ? [X0] : generous(X0) => (patient(lucy) <~> creativ... | 0 |
If paul is not humble or not quiet then someone is strong or not tall. If paul is strong then someone is either old or curious and vice versa. Everyone who is not happy is not brave. Everyone who is either not curious or rich is kind or not happy and vice versa. If someone is funny or not quiet then fred is both not cr... | John is quiet. | contradiction | (((~humble(paul)|~quiet(paul)))=>(?[X]:((strong(X)|~tall(X)))))&
((strong(paul))<=>(?[X]:((old(X)<~>curious(X)))))&
(![X]:(~happy(X)=>~brave(X)))&
(![X]:((~curious(X)<~>rich(X))<=>(kind(X)|~happy(X))))&
((?[X]:((funny(X)|~quiet(X))))<=>((~creative(fred)&~kind(fred))))&
(((old(john)|~rich(john)))<=>((patient(john)<~>~fu... | quiet(john) | [
"p4",
"p6",
"p8",
"p10",
"p11",
"p12",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 508033684973330082416134
% SZS output start Proof for 508033684973330082416134
5. ? [X0] : (~quiet(X0) | funny(X0)) <=> (~kind(fred) & ~creative(fred)) [input p4]
7. ! [X0] : ((~wise(X0) <~> ~curious(X0)) <=> curious(X0)) [input p6]
9. ! [X0] : ((patient(X0) & funny(X0)) => (brave(X0) & r... | 0 |
If paul is both quiet and not rich then mary is kind or generous and vice versa.
Everyone who is calm or happy is not funny.
Everyone who is old is both wise and generous.
Everyone who is both creative and not creative is happy or not happy.
If someone is either not old or not quiet then someone is quiet or rich and vi... | Fred is not rich. | contradiction | (((quiet(paul)&~rich(paul)))<=>((kind(mary)|generous(mary))))&
(![X]:((calm(X)|happy(X))=>~funny(X)))&
(![X]:(old(X)=>(wise(X)&generous(X))))&
(![X]:((creative(X)&~creative(X))=>(happy(X)|~happy(X))))&
((?[X]:((~old(X)<~>~quiet(X))))<=>(?[X]:((quiet(X)|rich(X)))))&
(![X]:((happy(X)|~kind(X))<=>~wise(X)))&
(![X]:((curio... | ~rich(fred) | [
"p5",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1707471953326928438717880
% SZS output start Proof for 1707471953326928438717880
6. ! [X0] : ((~kind(X0) | happy(X0)) <=> ~wise(X0)) [input p5]
9. ! [X0] : (~wise(X0) <=> (wise(X0) & ~strong(X0))) [input p8]
10. ! [X0] : ((~generous(X0) <~> ~calm(X0)) => (~tall(X0) & ~kind(X0))) [input p9... | 0 |
Everyone who is creative is both rich and not curious and vice versa. If someone is not tall or brave then someone is tall or quiet and vice versa. Everyone who is not happy or not wise is rich or tall and vice versa. If someone is either tall or not strong then mary is both not tall and funny. If someone is not wise o... | Fred is humble. | neutral | (![X]:(creative(X)<=>(rich(X)&~curious(X))))&
((?[X]:((~tall(X)|brave(X))))<=>(?[X]:((tall(X)|quiet(X)))))&
(![X]:((~happy(X)|~wise(X))<=>(rich(X)|tall(X))))&
((?[X]:((tall(X)<~>~strong(X))))=>((~tall(mary)&funny(mary))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:(~rich(X))))&
((?[X]:((brave(X)|curious(X))))=>((~happy(fred... | humble(fred) | [] | null | 0 |
Everyone who is not happy or wise is not rich or funny.
If someone is both humble and not calm then lucy is strong.
If fred is not brave then someone is old or not generous.
If someone is either quiet or calm then lucy is not quiet and vice versa.
If someone is either curious or tall then alice is either funny or quiet... | Alice is not happy. | neutral | (![X]:((~happy(X)|wise(X))=>(~rich(X)|funny(X))))&
((?[X]:((humble(X)&~calm(X))))=>(strong(lucy)))&
((~brave(fred))=>(?[X]:((old(X)|~generous(X)))))&
((?[X]:((quiet(X)<~>calm(X))))<=>(~quiet(lucy)))&
((?[X]:((curious(X)<~>tall(X))))=>((funny(alice)<~>quiet(alice))))&
(((~creative(susan)|~tall(susan)))=>(~humble(alice))... | ~happy(alice) | [] | null | 0 |
Everyone who is tall or funny is not patient or not curious and vice versa.
Everyone who is not strong is either curious or not funny.
Everyone who is not wise or happy is not happy or creative and vice versa.
Everyone who is either happy or not quiet is not patient.
Everyone who is either not tall or not brave is stro... | Paul is not quiet. | contradiction | (![X]:((tall(X)|funny(X))<=>(~patient(X)|~curious(X))))&
(![X]:(~strong(X)=>(curious(X)<~>~funny(X))))&
(![X]:((~wise(X)|happy(X))<=>(~happy(X)|creative(X))))&
(![X]:((happy(X)<~>~quiet(X))=>~patient(X)))&
(![X]:((~tall(X)<~>~brave(X))=>(strong(X)|~creative(X))))&
(((quiet(alice)|funny(alice)))<=>(?[X]:((~quiet(X)<~>qu... | ~quiet(paul) | [
"p2",
"p3",
"p8",
"p15",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 732558380009911522955195
% SZS output start Proof for 732558380009911522955195
3. ! [X0] : ((happy(X0) | ~wise(X0)) <=> (creative(X0) | ~happy(X0))) [input p2]
4. ! [X0] : ((happy(X0) <~> ~quiet(X0)) => ~patient(X0)) [input p3]
9. ! [X0] : ((quiet(X0) | humble(X0)) => (~rich(X0) & ~creati... | 0 |
Everyone who is not generous is not creative.
Everyone who is not quiet is strong.
Everyone who is calm or not generous is not humble and vice versa.
Everyone who is not humble is not wise and vice versa.
If someone is not humble or quiet then paul is calm and vice versa.
If susan is both quiet and not calm then fred i... | Lucy is wise. | contradiction | (![X]:(~generous(X)=>~creative(X)))&
(![X]:(~quiet(X)=>strong(X)))&
(![X]:((calm(X)|~generous(X))<=>~humble(X)))&
(![X]:(~humble(X)<=>~wise(X)))&
((?[X]:((~humble(X)|quiet(X))))<=>(calm(paul)))&
(((quiet(susan)&~calm(susan)))=>((kind(fred)&happy(fred))))&
(![X]:((~tall(X)|tall(X))=>(patient(X)&curious(X))))&
((?[X]:(~c... | wise(lucy) | [
"p2",
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2931165541496894659416196
% SZS output start Proof for 2931165541496894659416196
3. ! [X0] : ((~generous(X0) | calm(X0)) <=> ~humble(X0)) [input p2]
4. ! [X0] : (~humble(X0) <=> ~wise(X0)) [input p3]
17. calm(lucy) [input p16]
23. wise(lucy) [input hypothesis]
38. ! [X0] : (((~generous(X0... | 0 |
If john is not curious or not rich then someone is not creative. Everyone who is both not tall and not generous is not rich and vice versa. Everyone who is wise is not rich. If susan is quiet or not curious then lucy is not old or humble. If someone is rich or creative then someone is not rich or not calm. If paul is e... | Lucy is creative. | contradiction | (((~curious(john)|~rich(john)))=>(?[X]:(~creative(X))))&
(![X]:((~tall(X)&~generous(X))<=>~rich(X)))&
(![X]:(wise(X)=>~rich(X)))&
(((quiet(susan)|~curious(susan)))=>((~old(lucy)|humble(lucy))))&
((?[X]:((rich(X)|creative(X))))=>(?[X]:((~rich(X)|~calm(X)))))&
(((~humble(paul)<~>wise(paul)))=>(kind(mary)))&
(![X]:((~crea... | creative(lucy) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6152407246383535589751500
% SZS output start Proof for 6152407246383535589751500
7. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> (kind(X0) | strong(X0))) [input p6]
15. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> kind(X0)) [input p14]
25. creative(lucy) [input hypothesis]
50. ! [X0] : (((~ca... | 0 |
Everyone who is tall or not brave is both old and not patient. If alice is either patient or not generous then fred is not funny. If someone is not creative then john is humble and vice versa. Everyone who is not curious is not quiet. If someone is either tall or not wise then someone is tall or not happy. Everyone who... | Fred is not strong. | contradiction | (![X]:((tall(X)|~brave(X))=>(old(X)&~patient(X))))&
(((patient(alice)<~>~generous(alice)))=>(~funny(fred)))&
((?[X]:(~creative(X)))<=>(humble(john)))&
(![X]:(~curious(X)=>~quiet(X)))&
((?[X]:((tall(X)<~>~wise(X))))=>(?[X]:((tall(X)|~happy(X)))))&
(![X]:((creative(X)&quiet(X))<=>(creative(X)&~strong(X))))&
(![X]:(brave(... | ~strong(fred) | [
"p2",
"p3",
"p5",
"p6",
"p7",
"p9",
"p11",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3897714342894754522123063
% SZS output start Proof for 3897714342894754522123063
3. ? [X0] : ~creative(X0) <=> humble(john) [input p2]
4. ! [X0] : (~curious(X0) => ~quiet(X0)) [input p3]
6. ! [X0] : ((quiet(X0) & creative(X0)) <=> (~strong(X0) & creative(X0))) [input p5]
7. ! [X0] : (brav... | 0 |
Everyone who is not funny is both not wise and not happy. If alice is either not creative or not strong then mary is strong or tall. If someone is either calm or not old then john is not generous. Everyone who is kind or not old is either tall or calm. If someone is either not old or not calm then someone is not humble... | Fred is not tall. | entailment | (![X]:(~funny(X)=>(~wise(X)&~happy(X))))&
(((~creative(alice)<~>~strong(alice)))=>((strong(mary)|tall(mary))))&
((?[X]:((calm(X)<~>~old(X))))=>(~generous(john)))&
(![X]:((kind(X)|~old(X))=>(tall(X)<~>calm(X))))&
((?[X]:((~old(X)<~>~calm(X))))=>(?[X]:(~humble(X))))&
(![X]:((~kind(X)&humble(X))<=>(generous(X)<~>~humble(X... | ~tall(fred) | [
"p3",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6649680017398153627277761
% SZS output start Proof for 6649680017398153627277761
4. ! [X0] : ((~old(X0) | kind(X0)) => (tall(X0) <~> calm(X0))) [input p3]
11. ! [X0] : ((~tall(X0) & ~strong(X0)) <=> (patient(X0) | quiet(X0))) [input p10]
13. ! [X0] : (~patient(X0) => (tall(X0) <~> ~calm(X... | 0 |
Everyone who is not quiet or rich is not brave or not calm. Everyone who is not kind or calm is wise. If fred is not patient then someone is strong and vice versa. If someone is not happy or rich then paul is not creative and vice versa. Everyone who is not calm is either not calm or kind. Everyone who is not creative ... | Fred is not happy. | contradiction | (![X]:((~quiet(X)|rich(X))=>(~brave(X)|~calm(X))))&
(![X]:((~kind(X)|calm(X))=>wise(X)))&
((~patient(fred))<=>(?[X]:(strong(X))))&
((?[X]:((~happy(X)|rich(X))))<=>(~creative(paul)))&
(![X]:(~calm(X)=>(~calm(X)<~>kind(X))))&
(![X]:(~creative(X)<=>(calm(X)|curious(X))))&
(![X]:((~wise(X)<~>creative(X))=>old(X)))&
(((~pat... | ~happy(fred) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3243459685737168854130013
% SZS output start Proof for 3243459685737168854130013
4. ? [X0] : (rich(X0) | ~happy(X0)) <=> ~creative(paul) [input p3]
9. ! [X0] : (~creative(X0) => (rich(X0) & ~rich(X0))) [input p8]
24. ~happy(fred) [input hypothesis]
33. ! [X0] : ((rich(X0) & ~rich(X0)) | c... | 0 |
If someone is creative or old then lucy is not brave and vice versa. Everyone who is either curious or not old is not old or strong and vice versa. Everyone who is kind or calm is either not happy or brave and vice versa. If someone is both not brave and quiet then someone is kind or brave and vice versa. Everyone who ... | Mary is generous. | entailment | ((?[X]:((creative(X)|old(X))))<=>(~brave(lucy)))&
(![X]:((curious(X)<~>~old(X))<=>(~old(X)|strong(X))))&
(![X]:((kind(X)|calm(X))<=>(~happy(X)<~>brave(X))))&
((?[X]:((~brave(X)&quiet(X))))<=>(?[X]:((kind(X)|brave(X)))))&
(![X]:((kind(X)&~happy(X))<=>(kind(X)|patient(X))))&
((?[X]:((~strong(X)&~curious(X))))=>(calm(fred... | generous(mary) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1342765110160286886966531
% SZS output start Proof for 1342765110160286886966531
16. ! [X0] : ((~tall(X0) & ~funny(X0)) <=> ~generous(X0)) [input p15]
17. tall(mary) [input p16]
23. ~generous(mary) [input hypothesis]
27. ! [X0] : (~generous(X0) => (~tall(X0) & ~funny(X0))) [unused predica... | 0 |
Everyone who is not tall is rich or kind.
Everyone who is patient is not humble and vice versa.
Everyone who is creative is not funny.
Everyone who is not happy is either not quiet or not rich.
If mary is either old or not rich then someone is both not quiet and not patient.
If someone is not brave or strong then susan... | John is not calm. | entailment | (![X]:(~tall(X)=>(rich(X)|kind(X))))&
(![X]:(patient(X)<=>~humble(X)))&
(![X]:(creative(X)=>~funny(X)))&
(![X]:(~happy(X)=>(~quiet(X)<~>~rich(X))))&
(((old(mary)<~>~rich(mary)))=>(?[X]:((~quiet(X)&~patient(X)))))&
((?[X]:((~brave(X)|strong(X))))=>((wise(susan)<~>~rich(susan))))&
((?[X]:((old(X)<~>rich(X))))<=>((~happy(... | ~calm(john) | [
"p7",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8035605282617300292533128
% SZS output start Proof for 8035605282617300292533128
8. ? [X0] : (~old(X0) & ~rich(X0)) <=> ? [X0] : (calm(X0) <~> tall(X0)) [input p7]
9. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (patient(X0) & generous(X0))) [input p8]
11. ! [X0] : (rich(X0) <=> (~wise(X0) | p... | 0 |
If john is brave or not creative then paul is not tall and vice versa.
Everyone who is not wise or strong is either not generous or patient and vice versa.
Everyone who is not old is curious or not humble and vice versa.
If mary is either quiet or old then someone is both brave and generous.
If alice is both not genero... | Paul is generous. | neutral | (((brave(john)|~creative(john)))<=>(~tall(paul)))&
(![X]:((~wise(X)|strong(X))<=>(~generous(X)<~>patient(X))))&
(![X]:(~old(X)<=>(curious(X)|~humble(X))))&
(((quiet(mary)<~>old(mary)))=>(?[X]:((brave(X)&generous(X)))))&
(((~generous(alice)&~rich(alice)))<=>(?[X]:((strong(X)<~>~brave(X)))))&
(![X]:((~happy(X)<~>brave(X)... | generous(paul) | [] | null | 0 |
If someone is both not funny and happy then someone is either humble or not rich and vice versa. If susan is both not calm and happy then john is both not tall and not curious and vice versa. Everyone who is curious is patient. If paul is either not old or curious then someone is both funny and creative and vice versa.... | Susan is generous. | entailment | ((?[X]:((~funny(X)&happy(X))))<=>(?[X]:((humble(X)<~>~rich(X)))))&
(((~calm(susan)&happy(susan)))<=>((~tall(john)&~curious(john))))&
(![X]:(curious(X)=>patient(X)))&
(((~old(paul)<~>curious(paul)))<=>(?[X]:((funny(X)&creative(X)))))&
(((creative(paul)|curious(paul)))=>(?[X]:((strong(X)<~>quiet(X)))))&
(![X]:(~strong(X)... | generous(susan) | [
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1465609849741312265196535
% SZS output start Proof for 1465609849741312265196535
11. ? [X0] : (~quiet(X0) | tall(X0)) => (kind(susan) & generous(susan)) [input p10]
24. ? [X0] : (tall(X0) & ~generous(X0)) [input p23]
25. ~generous(susan) [input hypothesis]
29. ? [X0] : (~quiet(X0) | tall(... | 0 |
Everyone who is either not curious or not humble is humble and vice versa.
Everyone who is both old and creative is both tall and curious.
If paul is both not kind and not humble then lucy is not kind or not old and vice versa.
Everyone who is both not kind and not curious is both not strong and humble and vice versa.
... | John is not old. | neutral | (![X]:((~curious(X)<~>~humble(X))<=>humble(X)))&
(![X]:((old(X)&creative(X))=>(tall(X)&curious(X))))&
(((~kind(paul)&~humble(paul)))<=>((~kind(lucy)|~old(lucy))))&
(![X]:((~kind(X)&~curious(X))<=>(~strong(X)&humble(X))))&
(![X]:(patient(X)<=>(brave(X)&~quiet(X))))&
(((brave(mary)|quiet(mary)))<=>((rich(mary)<~>~patient... | ~old(john) | [] | null | 0 |
Everyone who is either not quiet or calm is either quiet or not humble.
If someone is brave or not calm then lucy is both not curious and not funny.
Everyone who is both curious and patient is strong or not creative and vice versa.
Everyone who is not strong is not kind or rich and vice versa.
If someone is not rich th... | Lucy is quiet. | neutral | (![X]:((~quiet(X)<~>calm(X))=>(quiet(X)<~>~humble(X))))&
((?[X]:((brave(X)|~calm(X))))=>((~curious(lucy)&~funny(lucy))))&
(![X]:((curious(X)&patient(X))<=>(strong(X)|~creative(X))))&
(![X]:(~strong(X)<=>(~kind(X)|rich(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~kind(X)&~creative(X)))))&
(((old(alice)|~humble(alice)))<=>((~tal... | quiet(lucy) | [] | null | 0 |
Everyone who is either not tall or not creative is creative.
If mary is either strong or not quiet then lucy is either wise or curious and vice versa.
Everyone who is either wise or brave is not wise or not strong and vice versa.
If someone is either quiet or creative then john is either rich or not curious and vice ve... | Lucy is humble. | neutral | (![X]:((~tall(X)<~>~creative(X))=>creative(X)))&
(((strong(mary)<~>~quiet(mary)))<=>((wise(lucy)<~>curious(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~wise(X)|~strong(X))))&
((?[X]:((quiet(X)<~>creative(X))))<=>((rich(john)<~>~curious(john))))&
(![X]:((~rich(X)|brave(X))=>(calm(X)&~calm(X))))&
(((~brave(lucy)<~>~creative... | humble(lucy) | [] | null | 0 |
If lucy is either old or not strong then alice is both kind and not funny and vice versa.
If someone is not calm then someone is either not quiet or happy.
If fred is both happy and not wise then someone is not funny and vice versa.
If fred is funny then someone is not wise and vice versa.
If someone is either not quie... | Susan is rich. | contradiction | (((old(lucy)<~>~strong(lucy)))<=>((kind(alice)&~funny(alice))))&
((?[X]:(~calm(X)))=>(?[X]:((~quiet(X)<~>happy(X)))))&
(((happy(fred)&~wise(fred)))<=>(?[X]:(~funny(X))))&
((funny(fred))<=>(?[X]:(~wise(X))))&
((?[X]:((~quiet(X)<~>~happy(X))))<=>(~brave(fred)))&
(![X]:((~wise(X)&patient(X))<=>(curious(X)|~old(X))))&
((?[... | rich(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5393259814993703345715781
% SZS output start Proof for 5393259814993703345715781
21. ~rich(susan) & ~strong(susan) [input p20]
25. rich(susan) [input hypothesis]
162. ~rich(susan) [cnf transformation 21]
168. rich(susan) [cnf transformation 25]
343. $false [subsumption resolution 168,162]... | 0 |
Everyone who is not creative or strong is not humble and vice versa.
Everyone who is either not old or not curious is patient.
If alice is kind then susan is either wise or not tall and vice versa.
Everyone who is either tall or not patient is either wise or not wise and vice versa.
Everyone who is either not rich or c... | Susan is patient. | entailment | (![X]:((~creative(X)|strong(X))<=>~humble(X)))&
(![X]:((~old(X)<~>~curious(X))=>patient(X)))&
((kind(alice))<=>((wise(susan)<~>~tall(susan))))&
(![X]:((tall(X)<~>~patient(X))<=>(wise(X)<~>~wise(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~strong(X)<~>~humble(X))))&
((wise(fred))<=>(?[X]:((wise(X)|humble(X)))))&
(![X]:((~c... | patient(susan) | [
"p0",
"p3",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1046785361896825873400578
% SZS output start Proof for 1046785361896825873400578
1. ! [X0] : ((strong(X0) | ~creative(X0)) <=> ~humble(X0)) [input p0]
4. ! [X0] : ((tall(X0) <~> ~patient(X0)) <=> (wise(X0) <~> ~wise(X0))) [input p3]
13. ! [X0] : ((humble(X0) <~> ~calm(X0)) => (~strong(X0)... | 0 |
If paul is patient or not creative then someone is both not tall and kind and vice versa.
Everyone who is not old is both creative and not curious and vice versa.
Everyone who is not humble or creative is generous or not tall and vice versa.
Everyone who is calm or brave is either funny or tall.
If someone is not funny... | John is quiet. | neutral | (((patient(paul)|~creative(paul)))<=>(?[X]:((~tall(X)&kind(X)))))&
(![X]:(~old(X)<=>(creative(X)&~curious(X))))&
(![X]:((~humble(X)|creative(X))<=>(generous(X)|~tall(X))))&
(![X]:((calm(X)|brave(X))=>(funny(X)<~>tall(X))))&
((?[X]:((~funny(X)|~tall(X))))<=>((curious(alice)|~generous(alice))))&
(((~wise(mary)<~>wise(mar... | quiet(john) | [] | null | 0 |
Everyone who is either old or calm is curious and vice versa.
Everyone who is creative is not strong or not happy.
Everyone who is funny or curious is not humble.
Everyone who is calm or not generous is both not strong and humble and vice versa.
If someone is both not kind and not happy then mary is funny or happy and ... | Alice is happy. | neutral | (![X]:((old(X)<~>calm(X))<=>curious(X)))&
(![X]:(creative(X)=>(~strong(X)|~happy(X))))&
(![X]:((funny(X)|curious(X))=>~humble(X)))&
(![X]:((calm(X)|~generous(X))<=>(~strong(X)&humble(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((funny(mary)|happy(mary))))&
(![X]:((tall(X)&humble(X))=>patient(X)))&
(![X]:((~strong(X)&~creat... | happy(alice) | [] | null | 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 8935732838831480755618060
% SZS output start Proof for 8935732838831480755618060
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 |
If alice is both not generous and strong then alice is either not wise or not generous and vice versa.
If john is both funny and strong then fred is curious or not strong.
Everyone who is wise or not rich is both patient and not patient and vice versa.
Everyone who is calm is curious or generous.
Everyone who is quiet ... | Susan is funny. | neutral | (((~generous(alice)&strong(alice)))<=>((~wise(alice)<~>~generous(alice))))&
(((funny(john)&strong(john)))=>((curious(fred)|~strong(fred))))&
(![X]:((wise(X)|~rich(X))<=>(patient(X)&~patient(X))))&
(![X]:(calm(X)=>(curious(X)|generous(X))))&
(![X]:((quiet(X)|rich(X))=>(~wise(X)<~>happy(X))))&
(![X]:(calm(X)<=>(funny(X)<... | funny(susan) | [] | null | 0 |
If paul is wise then someone is either not tall or not old and vice versa.
Everyone who is not calm is either calm or not old.
If someone is brave or rich then lucy is both tall and not kind.
If fred is quiet or old then someone is tall or humble and vice versa.
If someone is not quiet or humble then john is either not... | Fred is brave. | entailment | ((wise(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:(~calm(X)=>(calm(X)<~>~old(X))))&
((?[X]:((brave(X)|rich(X))))=>((tall(lucy)&~kind(lucy))))&
(((quiet(fred)|old(fred)))<=>(?[X]:((tall(X)|humble(X)))))&
((?[X]:((~quiet(X)|humble(X))))=>((~kind(john)<~>kind(john))))&
(![X]:((~strong(X)&~wise(X))<=>(happy(X)<~>~quiet... | brave(fred) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7867387283513047893173296
% SZS output start Proof for 7867387283513047893173296
7. ? [X0] : (rich(X0) | calm(X0)) => (brave(fred) & kind(fred)) [input p6]
12. ! [X0] : (~wise(X0) <=> (calm(X0) <~> wise(X0))) [input p11]
25. ~brave(fred) [input hypothesis]
30. (brave(fred) & kind(fred)) |... | 0 |
If mary is both generous and brave then alice is not wise or not kind and vice versa.
If someone is both not rich and quiet then paul is old and vice versa.
Everyone who is both not funny and not humble is both not strong and wise and vice versa.
If someone is both strong and not generous then someone is not patient or... | Fred is happy. | neutral | (((generous(mary)&brave(mary)))<=>((~wise(alice)|~kind(alice))))&
((?[X]:((~rich(X)&quiet(X))))<=>(old(paul)))&
(![X]:((~funny(X)&~humble(X))<=>(~strong(X)&wise(X))))&
((?[X]:((strong(X)&~generous(X))))<=>(?[X]:((~patient(X)|quiet(X)))))&
(![X]:((~strong(X)<~>~quiet(X))<=>strong(X)))&
(![X]:((calm(X)|~wise(X))<=>(~wise... | happy(fred) | [] | null | 0 |
Everyone who is not generous is not brave and vice versa.
Everyone who is strong or calm is either not quiet or not calm and vice versa.
Everyone who is either strong or not strong is both generous and strong.
Everyone who is either creative or tall is humble.
Everyone who is either humble or curious is not rich or not... | Mary is not calm. | neutral | (![X]:(~generous(X)<=>~brave(X)))&
(![X]:((strong(X)|calm(X))<=>(~quiet(X)<~>~calm(X))))&
(![X]:((strong(X)<~>~strong(X))=>(generous(X)&strong(X))))&
(![X]:((creative(X)<~>tall(X))=>humble(X)))&
(![X]:((humble(X)<~>curious(X))=>(~rich(X)|~tall(X))))&
(![X]:((old(X)|~funny(X))=>(funny(X)|generous(X))))&
(![X]:((funny(X)... | ~calm(mary) | [] | null | 0 |
If fred is not creative or curious then alice is patient or curious and vice versa.
Everyone who is not happy or creative is both not happy and kind.
Everyone who is not creative is not patient or not brave.
If someone is generous or not curious then someone is both not generous and not kind.
Everyone who is calm is no... | Alice is not curious. | neutral | (((~creative(fred)|curious(fred)))<=>((patient(alice)|curious(alice))))&
(![X]:((~happy(X)|creative(X))=>(~happy(X)&kind(X))))&
(![X]:(~creative(X)=>(~patient(X)|~brave(X))))&
((?[X]:((generous(X)|~curious(X))))=>(?[X]:((~generous(X)&~kind(X)))))&
(![X]:(calm(X)<=>(~humble(X)|brave(X))))&
(![X]:((happy(X)<~>wise(X))<=>... | ~curious(alice) | [] | null | 0 |
If paul is both happy and not generous then someone is humble and vice versa.
If someone is not strong or not creative then john is both not rich and not strong.
If someone is both not quiet and kind then lucy is either calm or not generous.
If someone is not wise or not calm then john is both happy and not creative an... | Fred is funny. | entailment | (((happy(paul)&~generous(paul)))<=>(?[X]:(humble(X))))&
((?[X]:((~strong(X)|~creative(X))))=>((~rich(john)&~strong(john))))&
((?[X]:((~quiet(X)&kind(X))))=>((calm(lucy)<~>~generous(lucy))))&
((?[X]:((~wise(X)|~calm(X))))<=>((happy(john)&~creative(john))))&
((?[X]:(generous(X)))=>(?[X]:((~tall(X)&~wise(X)))))&
(((~funny... | funny(fred) | [
"p1",
"p3",
"p4",
"p7",
"p9",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1961416671538700090347736
% SZS output start Proof for 1961416671538700090347736
2. ? [X0] : (~creative(X0) | ~strong(X0)) => (~strong(john) & ~rich(john)) [input p1]
4. ? [X0] : (~calm(X0) | ~wise(X0)) <=> (~creative(john) & happy(john)) [input p3]
5. ? [X0] : generous(X0) => ? [X0] : (~... | 0 |
Everyone who is both patient and generous is both wise and creative. Everyone who is both calm and happy is both strong and not tall and vice versa. Everyone who is rich is both wise and kind and vice versa. Everyone who is not creative or not humble is funny and vice versa. Everyone who is either curious or kind is br... | Susan is not wise. | neutral | (![X]:((patient(X)&generous(X))=>(wise(X)&creative(X))))&
(![X]:((calm(X)&happy(X))<=>(strong(X)&~tall(X))))&
(![X]:(rich(X)<=>(wise(X)&kind(X))))&
(![X]:((~creative(X)|~humble(X))<=>funny(X)))&
(![X]:((curious(X)<~>kind(X))<=>brave(X)))&
(![X]:((wise(X)|curious(X))=>(humble(X)|~calm(X))))&
(((quiet(lucy)|brave(lucy)))... | ~wise(susan) | [] | null | 0 |
Everyone who is either not curious or not humble is humble and vice versa.
Everyone who is both old and creative is both tall and curious.
If paul is both not kind and not humble then lucy is not kind or not old and vice versa.
Everyone who is both not kind and not curious is both not strong and humble and vice versa.
... | Paul is happy. | neutral | (![X]:((~curious(X)<~>~humble(X))<=>humble(X)))&
(![X]:((old(X)&creative(X))=>(tall(X)&curious(X))))&
(((~kind(paul)&~humble(paul)))<=>((~kind(lucy)|~old(lucy))))&
(![X]:((~kind(X)&~curious(X))<=>(~strong(X)&humble(X))))&
(![X]:(patient(X)<=>(brave(X)&~quiet(X))))&
(((brave(mary)|quiet(mary)))<=>((rich(mary)<~>~patient... | happy(paul) | [] | null | 0 |
Everyone who is both brave and patient is calm and vice versa. Everyone who is not calm is either not wise or generous. If susan is patient then someone is both kind and creative and vice versa. Everyone who is both not strong and tall is either generous or wise. Everyone who is both humble and curious is both not kind... | Alice is creative. | neutral | (![X]:((brave(X)&patient(X))<=>calm(X)))&
(![X]:(~calm(X)=>(~wise(X)<~>generous(X))))&
((patient(susan))<=>(?[X]:((kind(X)&creative(X)))))&
(![X]:((~strong(X)&tall(X))=>(generous(X)<~>wise(X))))&
(![X]:((humble(X)&curious(X))=>(~kind(X)&funny(X))))&
(![X]:((creative(X)<~>patient(X))<=>(patient(X)&~funny(X))))&
(((~stro... | creative(alice) | [] | null | 0 |
If someone is not strong then paul is either not curious or not creative and vice versa.
Everyone who is both not strong and not old is calm and vice versa.
Everyone who is either wise or generous is either wise or not funny.
Everyone who is both old and not humble is funny or rich.
If someone is brave or not rich then... | John is not quiet. | entailment | ((?[X]:(~strong(X)))<=>((~curious(paul)<~>~creative(paul))))&
(![X]:((~strong(X)&~old(X))<=>calm(X)))&
(![X]:((wise(X)<~>generous(X))=>(wise(X)<~>~funny(X))))&
(![X]:((old(X)&~humble(X))=>(funny(X)|rich(X))))&
((?[X]:((brave(X)|~rich(X))))<=>(?[X]:(~calm(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((tall(X)<~>~brave(X)))))&
(((... | ~quiet(john) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 148232557533309686406150
% SZS output start Proof for 148232557533309686406150
12. ? [X0] : (~funny(X0) | ~creative(X0)) <=> ~quiet(john) [input p11]
17. ? [X0] : ~funny(X0) [input p16]
24. quiet(john) [input hypothesis]
62. (? [X0] : (~funny(X0) | ~creative(X0)) | quiet(john)) & (~quiet(... | 0 |
Everyone who is not humble is both not strong and not creative and vice versa.
If alice is not wise then susan is brave or not old and vice versa.
Everyone who is both not strong and not rich is either not tall or funny and vice versa.
If susan is not calm then alice is either not calm or not funny and vice versa.
Ever... | Alice is not old. | entailment | (![X]:(~humble(X)<=>(~strong(X)&~creative(X))))&
((~wise(alice))<=>((brave(susan)|~old(susan))))&
(![X]:((~strong(X)&~rich(X))<=>(~tall(X)<~>funny(X))))&
((~calm(susan))<=>((~calm(alice)<~>~funny(alice))))&
(![X]:((tall(X)|brave(X))<=>~wise(X)))&
((?[X]:(~calm(X)))=>(?[X]:((~tall(X)|~rich(X)))))&
(((wise(alice)<~>~brav... | ~old(alice) | [
"p8",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5363165653276727245543698
% SZS output start Proof for 5363165653276727245543698
9. ! [X0] : (patient(X0) <=> (~old(X0) | tall(X0))) [input p8]
11. ! [X0] : (~funny(X0) <=> (~old(X0) <~> patient(X0))) [input p10]
13. ! [X0] : ((curious(X0) <~> ~quiet(X0)) => (~rich(X0) & ~patient(X0))) [i... | 0 |
Everyone who is not humble is calm.
If someone is brave then susan is calm or humble and vice versa.
If paul is funny or generous then paul is not wise or not patient.
Everyone who is both not wise and creative is not wise and vice versa.
Everyone who is quiet is humble and vice versa.
Everyone who is not tall or curio... | Mary is not funny. | contradiction | (![X]:(~humble(X)=>calm(X)))&
((?[X]:(brave(X)))<=>((calm(susan)|humble(susan))))&
(((funny(paul)|generous(paul)))=>((~wise(paul)|~patient(paul))))&
(![X]:((~wise(X)&creative(X))<=>~wise(X)))&
(![X]:(quiet(X)<=>humble(X)))&
(![X]:((~tall(X)|curious(X))<=>(~old(X)&~kind(X))))&
((~strong(paul))<=>(?[X]:(creative(X))))&
(... | ~funny(mary) | [
"p3",
"p5",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8628406612078730599597263
% SZS output start Proof for 8628406612078730599597263
4. ! [X0] : ((creative(X0) & ~wise(X0)) <=> ~wise(X0)) [input p3]
6. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~kind(X0) & ~old(X0))) [input p5]
9. (curious(mary) | ~creative(mary)) <=> (wise(paul) | tall(paul... | 0 |
Everyone who is either not old or not rich is not curious or not rich and vice versa. If alice is humble then john is both rich and not creative. If someone is quiet then john is either creative or kind. If someone is curious then someone is humble or funny. Everyone who is creative or curious is rich or not calm and v... | John is not patient. | neutral | (![X]:((~old(X)<~>~rich(X))<=>(~curious(X)|~rich(X))))&
((humble(alice))=>((rich(john)&~creative(john))))&
((?[X]:(quiet(X)))=>((creative(john)<~>kind(john))))&
((?[X]:(curious(X)))=>(?[X]:((humble(X)|funny(X)))))&
(![X]:((creative(X)|curious(X))<=>(rich(X)|~calm(X))))&
((~generous(alice))=>(?[X]:((~tall(X)&humble(X)))... | ~patient(john) | [] | null | 0 |
Everyone who is either not strong or not curious is either rich or not quiet and vice versa. Everyone who is not tall or not curious is both quiet and strong and vice versa. Everyone who is tall or not rich is either old or not calm. Everyone who is either kind or not creative is both rich and not creative and vice ver... | Fred is calm. | contradiction | (![X]:((~strong(X)<~>~curious(X))<=>(rich(X)<~>~quiet(X))))&
(![X]:((~tall(X)|~curious(X))<=>(quiet(X)&strong(X))))&
(![X]:((tall(X)|~rich(X))=>(old(X)<~>~calm(X))))&
(![X]:((kind(X)<~>~creative(X))<=>(rich(X)&~creative(X))))&
(![X]:((wise(X)&funny(X))<=>(~calm(X)<~>creative(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~bra... | calm(fred) | [
"p0",
"p1",
"p6",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1365266602846693349663409
% SZS output start Proof for 1365266602846693349663409
1. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=> (rich(X0) <~> ~quiet(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | ~tall(X0)) <=> (strong(X0) & quiet(X0))) [input p1]
7. ! [X0] : (~curious(X0) <=> (quiet(X0) ... | 0 |
If lucy is either curious or not patient then someone is strong or generous and vice versa.
Everyone who is not calm or quiet is either curious or kind.
If someone is wise then lucy is wise and vice versa.
Everyone who is both not tall and not humble is both not wise and not creative and vice versa.
Everyone who is not... | Susan is not brave. | entailment | (((curious(lucy)<~>~patient(lucy)))<=>(?[X]:((strong(X)|generous(X)))))&
(![X]:((~calm(X)|quiet(X))=>(curious(X)<~>kind(X))))&
((?[X]:(wise(X)))<=>(wise(lucy)))&
(![X]:((~tall(X)&~humble(X))<=>(~wise(X)&~creative(X))))&
(![X]:(~patient(X)<=>(generous(X)&humble(X))))&
((?[X]:((~brave(X)&~calm(X))))<=>(?[X]:((~brave(X)<~... | ~brave(susan) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6649692425804872142959716
% SZS output start Proof for 6649692425804872142959716
2. ! [X0] : ((quiet(X0) | ~calm(X0)) => (curious(X0) <~> kind(X0))) [input p1]
3. ? [X0] : wise(X0) <=> wise(lucy) [input p2]
4. ! [X0] : ((~humble(X0) & ~tall(X0)) <=> (~creative(X0) & ~wise(X0))) [input p3]... | 0 |
If fred is either not old or kind then someone is both funny and calm and vice versa.
Everyone who is not kind is either curious or funny.
Everyone who is humble or not humble is tall.
Everyone who is not tall is brave or not creative.
Everyone who is happy is not kind and vice versa.
If someone is either funny or happ... | Alice is wise. | entailment | (((~old(fred)<~>kind(fred)))<=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(~kind(X)=>(curious(X)<~>funny(X))))&
(![X]:((humble(X)|~humble(X))=>tall(X)))&
(![X]:(~tall(X)=>(brave(X)|~creative(X))))&
(![X]:(happy(X)<=>~kind(X)))&
((?[X]:((funny(X)<~>happy(X))))<=>((~strong(lucy)<~>strong(lucy))))&
((?[X]:(quiet(X)))=>((~tall(pa... | wise(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4685842876133108593230702
% SZS output start Proof for 4685842876133108593230702
10. ! [X0] : ((~wise(X0) | quiet(X0)) => (kind(X0) & ~kind(X0))) [input p9]
19. ~wise(alice) [input hypothesis]
28. ! [X0] : ((kind(X0) & ~kind(X0)) | (wise(X0) & ~quiet(X0))) [ennf transformation 10]
90. ~ki... | 0 |
Everyone who is old is not brave and vice versa. If fred is not rich or not old then john is quiet or not tall and vice versa. If someone is either not curious or happy then someone is both old and creative. If someone is not kind then someone is both tall and not strong and vice versa. If mary is not funny or strong t... | Fred is strong. | entailment | (![X]:(old(X)<=>~brave(X)))&
(((~rich(fred)|~old(fred)))<=>((quiet(john)|~tall(john))))&
((?[X]:((~curious(X)<~>happy(X))))=>(?[X]:((old(X)&creative(X)))))&
((?[X]:(~kind(X)))<=>(?[X]:((tall(X)&~strong(X)))))&
(((~funny(mary)|strong(mary)))<=>(curious(fred)))&
((?[X]:((~quiet(X)<~>~rich(X))))=>((rich(john)&~tall(john))... | strong(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 439735282068684658117578
% SZS output start Proof for 439735282068684658117578
14. (~patient(susan) | patient(susan)) => (happy(fred) & strong(fred)) [input p13]
24. ~strong(fred) [input hypothesis]
39. (happy(fred) & strong(fred)) | (patient(susan) & ~patient(susan)) [ennf transformation... | 0 |
If alice is not old or strong then someone is not generous or not funny.
If susan is not old then someone is both not generous and creative.
If lucy is happy then someone is not curious and vice versa.
Everyone who is both generous and old is either rich or not calm and vice versa.
If someone is quiet or not calm then ... | Susan is generous. | entailment | (((~old(alice)|strong(alice)))=>(?[X]:((~generous(X)|~funny(X)))))&
((~old(susan))=>(?[X]:((~generous(X)&creative(X)))))&
((happy(lucy))<=>(?[X]:(~curious(X))))&
(![X]:((generous(X)&old(X))<=>(rich(X)<~>~calm(X))))&
((?[X]:((quiet(X)|~calm(X))))=>(~old(paul)))&
((?[X]:((~calm(X)|~happy(X))))<=>((~rich(susan)<~>creative... | generous(susan) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8163595360944508421289971
% SZS output start Proof for 8163595360944508421289971
11. ! [X0] : (generous(X0) <=> (calm(X0) <~> kind(X0))) [input p10]
12. ! [X0] : ((~kind(X0) | calm(X0)) => (generous(X0) & ~generous(X0))) [input p11]
22. ~generous(susan) [input hypothesis]
29. ! [X0] : ((g... | 0 |
If someone is not rich then someone is either not quiet or quiet. If susan is not kind or not funny then someone is not rich or creative and vice versa. Everyone who is not strong is both humble and calm. Everyone who is wise or humble is both quiet and not funny and vice versa. Everyone who is not generous is not old.... | Lucy is quiet. | neutral | ((?[X]:(~rich(X)))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(((~kind(susan)|~funny(susan)))<=>(?[X]:((~rich(X)|creative(X)))))&
(![X]:(~strong(X)=>(humble(X)&calm(X))))&
(![X]:((wise(X)|humble(X))<=>(quiet(X)&~funny(X))))&
(![X]:(~generous(X)=>~old(X)))&
((creative(paul))<=>((rich(lucy)&~wise(lucy))))&
(![X]:((tall(X)<~>wise... | quiet(lucy) | [] | null | 0 |
Everyone who is both tall and not quiet is curious and vice versa. If mary is both not creative and not calm then someone is both not happy and not funny and vice versa. If paul is wise then someone is either happy or not calm. Everyone who is both not kind and humble is both patient and generous and vice versa. Everyo... | Fred is creative. | contradiction | (![X]:((tall(X)&~quiet(X))<=>curious(X)))&
(((~creative(mary)&~calm(mary)))<=>(?[X]:((~happy(X)&~funny(X)))))&
((wise(paul))=>(?[X]:((happy(X)<~>~calm(X)))))&
(![X]:((~kind(X)&humble(X))<=>(patient(X)&generous(X))))&
(![X]:((old(X)|brave(X))=>(funny(X)<~>brave(X))))&
(((calm(alice)&funny(alice)))=>(curious(susan)))&
(!... | creative(fred) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1874991024502186543576538
% SZS output start Proof for 1874991024502186543576538
7. ! [X0] : (~patient(X0) <=> ~kind(X0)) [input p6]
14. ! [X0] : ((patient(X0) <~> ~kind(X0)) => (~creative(X0) & ~brave(X0))) [input p13]
23. creative(fred) [input hypothesis]
38. ! [X0] : ((~creative(X0) & ... | 0 |
Everyone who is old or brave is both strong and not brave.
If someone is wise or brave then susan is funny and vice versa.
If paul is not rich then someone is both not creative and creative and vice versa.
Everyone who is not rich is both not old and not patient.
If someone is both not funny and not kind then alice is ... | Susan is tall. | entailment | (![X]:((old(X)|brave(X))=>(strong(X)&~brave(X))))&
((?[X]:((wise(X)|brave(X))))<=>(funny(susan)))&
((~rich(paul))<=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:(~rich(X)=>(~old(X)&~patient(X))))&
((?[X]:((~funny(X)&~kind(X))))=>((~creative(alice)&~old(alice))))&
(![X]:((~humble(X)&curious(X))<=>(~funny(X)|~strong(X))))... | tall(susan) | [
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 63006326110776833450691
% SZS output start Proof for 63006326110776833450691
13. ? [X0] : (~old(X0) | ~tall(X0)) <=> ~patient(lucy) [input p12]
22. patient(lucy) [input p21]
25. ~tall(susan) [input hypothesis]
62. (? [X0] : (~old(X0) | ~tall(X0)) | patient(lucy)) & (~patient(lucy) | ! [X0... | 0 |
Everyone who is calm is either humble or not patient and vice versa. Everyone who is not tall or not generous is either not curious or not tall. If lucy is kind or not quiet then lucy is patient or humble. Everyone who is calm is both brave and funny and vice versa. If paul is both funny and not calm then someone is no... | Mary is kind. | entailment | (![X]:(calm(X)<=>(humble(X)<~>~patient(X))))&
(![X]:((~tall(X)|~generous(X))=>(~curious(X)<~>~tall(X))))&
(((kind(lucy)|~quiet(lucy)))=>((patient(lucy)|humble(lucy))))&
(![X]:(calm(X)<=>(brave(X)&funny(X))))&
(((funny(paul)&~calm(paul)))=>(?[X]:(~patient(X))))&
(![X]:(calm(X)=>(~curious(X)&creative(X))))&
(((calm(alice... | kind(mary) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2682591971437601484606882
% SZS output start Proof for 2682591971437601484606882
8. ! [X0] : ((strong(X0) | ~strong(X0)) => (~patient(X0) & wise(X0))) [input p7]
14. ! [X0] : (~patient(X0) <=> (kind(X0) & happy(X0))) [input p13]
18. ~kind(mary) [input hypothesis]
22. ! [X0] : ((strong(X0)... | 0 |
If someone is either tall or strong then someone is calm or not patient and vice versa.
If someone is not generous or not tall then susan is both funny and tall and vice versa.
If lucy is not kind then alice is kind.
Everyone who is not happy or calm is either not creative or not brave.
If fred is rich or not rich then... | Lucy is patient. | entailment | ((?[X]:((tall(X)<~>strong(X))))<=>(?[X]:((calm(X)|~patient(X)))))&
((?[X]:((~generous(X)|~tall(X))))<=>((funny(susan)&tall(susan))))&
((~kind(lucy))=>(kind(alice)))&
(![X]:((~happy(X)|calm(X))=>(~creative(X)<~>~brave(X))))&
(((rich(fred)|~rich(fred)))=>(?[X]:((quiet(X)|~calm(X)))))&
(![X]:(curious(X)=>(brave(X)|humble(... | patient(lucy) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 753293120407019167668085
% SZS output start Proof for 753293120407019167668085
13. ! [X0] : ((~humble(X0) <~> calm(X0)) <=> patient(X0)) [input p12]
18. calm(lucy) <~> ~humble(lucy) [input p17]
24. ~patient(lucy) [input hypothesis]
61. ! [X0] : ((((~calm(X0) | humble(X0)) & (calm(X0) | ~h... | 0 |
If someone is either calm or curious then someone is either old or humble and vice versa.
Everyone who is old is either kind or calm and vice versa.
Everyone who is not old or generous is either not generous or not strong.
If someone is not creative or not quiet then lucy is both not patient and not generous and vice v... | Alice is not kind. | neutral | ((?[X]:((calm(X)<~>curious(X))))<=>(?[X]:((old(X)<~>humble(X)))))&
(![X]:(old(X)<=>(kind(X)<~>calm(X))))&
(![X]:((~old(X)|generous(X))=>(~generous(X)<~>~strong(X))))&
((?[X]:((~creative(X)|~quiet(X))))<=>((~patient(lucy)&~generous(lucy))))&
(![X]:(~calm(X)<=>(~humble(X)|old(X))))&
(![X]:((kind(X)&creative(X))<=>(~tall(... | ~kind(alice) | [] | null | 0 |
If lucy is patient or not humble then someone is not brave or curious and vice versa.
If someone is creative then susan is either strong or calm and vice versa.
If someone is both not calm and rich then someone is not strong.
If alice is either rich or not humble then susan is not strong or not generous and vice versa.... | John is not happy. | neutral | (((patient(lucy)|~humble(lucy)))<=>(?[X]:((~brave(X)|curious(X)))))&
((?[X]:(creative(X)))<=>((strong(susan)<~>calm(susan))))&
((?[X]:((~calm(X)&rich(X))))=>(?[X]:(~strong(X))))&
(((rich(alice)<~>~humble(alice)))<=>((~strong(susan)|~generous(susan))))&
(((generous(mary)&kind(mary)))=>((happy(mary)|~calm(mary))))&
((cre... | ~happy(john) | [] | null | 0 |
If alice is either old or not tall then someone is both patient and not happy. If someone is not wise or calm then john is either rich or not happy and vice versa. Everyone who is not rich or not old is both generous and patient. Everyone who is generous or strong is curious or not humble and vice versa. If someone is ... | Alice is generous. | entailment | (((old(alice)<~>~tall(alice)))=>(?[X]:((patient(X)&~happy(X)))))&
((?[X]:((~wise(X)|calm(X))))<=>((rich(john)<~>~happy(john))))&
(![X]:((~rich(X)|~old(X))=>(generous(X)&patient(X))))&
(![X]:((generous(X)|strong(X))<=>(curious(X)|~humble(X))))&
((?[X]:((creative(X)|~strong(X))))<=>((~wise(mary)<~>~generous(mary))))&
(![... | generous(alice) | [
"p2",
"p7",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5154161146274054390140377
% SZS output start Proof for 5154161146274054390140377
3. ! [X0] : ((~old(X0) | ~rich(X0)) => (patient(X0) & generous(X0))) [input p2]
8. ! [X0] : ((~happy(X0) | old(X0)) <=> (~calm(X0) | brave(X0))) [input p7]
15. ! [X0] : (~calm(X0) => (~curious(X0) & ~rich(X0)... | 0 |
Everyone who is curious or not kind is both not humble and not happy and vice versa.
Everyone who is both brave and not old is either calm or not curious and vice versa.
If someone is either not creative or tall then mary is generous.
Everyone who is either generous or not generous is humble or not kind.
Everyone who i... | Paul is not calm. | entailment | (![X]:((curious(X)|~kind(X))<=>(~humble(X)&~happy(X))))&
(![X]:((brave(X)&~old(X))<=>(calm(X)<~>~curious(X))))&
((?[X]:((~creative(X)<~>tall(X))))=>(generous(mary)))&
(![X]:((generous(X)<~>~generous(X))=>(humble(X)|~kind(X))))&
(![X]:(~happy(X)<=>~strong(X)))&
(![X]:(calm(X)=>(calm(X)&~strong(X))))&
(![X]:((kind(X)<~>t... | ~calm(paul) | [
"p0",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6473433345957136911782469
% SZS output start Proof for 6473433345957136911782469
1. ! [X0] : ((~kind(X0) | curious(X0)) <=> (~happy(X0) & ~humble(X0))) [input p0]
6. ! [X0] : (calm(X0) => (~strong(X0) & calm(X0))) [input p5]
9. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> (happy(X0) & ~generous(... | 0 |
Everyone who is calm or not strong is curious and vice versa. Everyone who is not rich is funny. Everyone who is either not old or calm is humble. Everyone who is either not brave or kind is both wise and not wise. Everyone who is patient or creative is not happy and vice versa. Everyone who is both happy and rich is n... | Susan is old. | entailment | (![X]:((calm(X)|~strong(X))<=>curious(X)))&
(![X]:(~rich(X)=>funny(X)))&
(![X]:((~old(X)<~>calm(X))=>humble(X)))&
(![X]:((~brave(X)<~>kind(X))=>(wise(X)&~wise(X))))&
(![X]:((patient(X)|creative(X))<=>~happy(X)))&
(![X]:((happy(X)&rich(X))<=>(~wise(X)|~tall(X))))&
(![X]:((~strong(X)|~brave(X))<=>(~kind(X)&tall(X))))&
(!... | old(susan) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p8",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5669515563416034543202060
% SZS output start Proof for 5669515563416034543202060
4. ! [X0] : ((~brave(X0) <~> kind(X0)) => (~wise(X0) & wise(X0))) [input p3]
5. ! [X0] : ((creative(X0) | patient(X0)) <=> ~happy(X0)) [input p4]
6. ! [X0] : ((rich(X0) & happy(X0)) <=> (~tall(X0) | ~wise(X0)... | 0 |
Everyone who is brave is humble or patient and vice versa.
Everyone who is not old is brave or not generous and vice versa.
If lucy is both rich and kind then someone is both not brave and generous.
Everyone who is either curious or not quiet is strong or not quiet and vice versa.
Everyone who is both creative and stro... | Paul is brave. | entailment | (![X]:(brave(X)<=>(humble(X)|patient(X))))&
(![X]:(~old(X)<=>(brave(X)|~generous(X))))&
(((rich(lucy)&kind(lucy)))=>(?[X]:((~brave(X)&generous(X)))))&
(![X]:((curious(X)<~>~quiet(X))<=>(strong(X)|~quiet(X))))&
(![X]:((creative(X)&strong(X))=>humble(X)))&
(![X]:((creative(X)|~kind(X))<=>(~quiet(X)&generous(X))))&
(![X]:... | brave(paul) | [
"p0",
"p5",
"p8",
"p10",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2258935789634960106785031
% SZS output start Proof for 2258935789634960106785031
1. ! [X0] : (brave(X0) <=> (patient(X0) | humble(X0))) [input p0]
6. ! [X0] : ((~kind(X0) | creative(X0)) <=> (generous(X0) & ~quiet(X0))) [input p5]
9. ~quiet(paul) <=> ? [X0] : ~creative(X0) [input p8]
11. ... | 0 |
Everyone who is both humble and funny is old.
Everyone who is either quiet or rich is happy and vice versa.
Everyone who is not happy or not wise is not strong or not quiet and vice versa.
Everyone who is both patient and creative is patient or happy and vice versa.
Everyone who is either wise or not wise is old.
Every... | Alice is not brave. | contradiction | (![X]:((humble(X)&funny(X))=>old(X)))&
(![X]:((quiet(X)<~>rich(X))<=>happy(X)))&
(![X]:((~happy(X)|~wise(X))<=>(~strong(X)|~quiet(X))))&
(![X]:((patient(X)&creative(X))<=>(patient(X)|happy(X))))&
(![X]:((wise(X)<~>~wise(X))=>old(X)))&
(![X]:((~patient(X)&happy(X))<=>(~brave(X)|~old(X))))&
((?[X]:(brave(X)))=>(?[X]:(hap... | ~brave(alice) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 9018136343699668790525735
% SZS output start Proof for 9018136343699668790525735
4. ! [X0] : ((creative(X0) & patient(X0)) <=> (happy(X0) | patient(X0))) [input p3]
6. ! [X0] : ((happy(X0) & ~patient(X0)) <=> (~old(X0) | ~brave(X0))) [input p5]
23. ~brave(alice) [input hypothesis]
42. ! [... | 0 |
If someone is not happy or not patient then someone is either kind or quiet. If someone is either not humble or not wise then someone is old and vice versa. Everyone who is not creative or happy is either strong or kind. Everyone who is creative or not old is both wise and calm. If someone is quiet or not kind then som... | Mary is brave. | contradiction | ((?[X]:((~happy(X)|~patient(X))))=>(?[X]:((kind(X)<~>quiet(X)))))&
((?[X]:((~humble(X)<~>~wise(X))))<=>(?[X]:(old(X))))&
(![X]:((~creative(X)|happy(X))=>(strong(X)<~>kind(X))))&
(![X]:((creative(X)|~old(X))=>(wise(X)&calm(X))))&
((?[X]:((quiet(X)|~kind(X))))=>(?[X]:(kind(X))))&
((~tall(lucy))<=>(?[X]:((~old(X)|funny(X)... | brave(mary) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 59470791810292462788164
% SZS output start Proof for 59470791810292462788164
10. ! [X0] : ((~strong(X0) | patient(X0)) <=> (~brave(X0) & ~creative(X0))) [input p9]
18. patient(mary) & quiet(mary) [input p17]
24. brave(mary) [input hypothesis]
62. ! [X0] : (((~strong(X0) | patient(X0)) | (... | 0 |
Everyone who is both creative and not rich is either quiet or not funny and vice versa.
Everyone who is humble is not wise.
Everyone who is quiet or wise is wise and vice versa.
Everyone who is either quiet or old is not tall.
Everyone who is happy is old and vice versa.
Everyone who is both creative and tall is not ge... | Mary is curious. | contradiction | (![X]:((creative(X)&~rich(X))<=>(quiet(X)<~>~funny(X))))&
(![X]:(humble(X)=>~wise(X)))&
(![X]:((quiet(X)|wise(X))<=>wise(X)))&
(![X]:((quiet(X)<~>old(X))=>~tall(X)))&
(![X]:(happy(X)<=>old(X)))&
(![X]:((creative(X)&tall(X))<=>~generous(X)))&
((?[X]:((curious(X)<~>~kind(X))))=>(~patient(alice)))&
((?[X]:((funny(X)|~wise... | curious(mary) | [
"p5",
"p11",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8110040030742422721102398
% SZS output start Proof for 8110040030742422721102398
6. ! [X0] : ((tall(X0) & creative(X0)) <=> ~generous(X0)) [input p5]
12. ! [X0] : ((strong(X0) & brave(X0)) <=> (curious(X0) <~> tall(X0))) [input p11]
13. ! [X0] : ((happy(X0) | ~rich(X0)) => ~quiet(X0)) [in... | 0 |
If someone is both happy and not patient then john is either not strong or calm.
If someone is funny then fred is either wise or not strong.
Everyone who is brave is either old or not funny and vice versa.
Everyone who is not humble or generous is both quiet and not curious.
If mary is strong then fred is patient or br... | Susan is generous. | contradiction | ((?[X]:((happy(X)&~patient(X))))=>((~strong(john)<~>calm(john))))&
((?[X]:(funny(X)))=>((wise(fred)<~>~strong(fred))))&
(![X]:(brave(X)<=>(old(X)<~>~funny(X))))&
(![X]:((~humble(X)|generous(X))=>(quiet(X)&~curious(X))))&
((strong(mary))=>((patient(fred)|brave(fred))))&
((?[X]:((~wise(X)|rich(X))))<=>(?[X]:((strong(X)&g... | generous(susan) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3007232231803868811706667
% SZS output start Proof for 3007232231803868811706667
4. ! [X0] : ((generous(X0) | ~humble(X0)) => (~curious(X0) & quiet(X0))) [input p3]
17. ~quiet(susan) & ~old(susan) [input p16]
23. generous(susan) [input hypothesis]
28. ! [X0] : (generous(X0) => (~curious(X... | 0 |
Everyone who is patient is both not tall and happy and vice versa. Everyone who is tall is generous or strong and vice versa. Everyone who is not creative is both not humble and old. Everyone who is happy is quiet and vice versa. If someone is curious then someone is not wise or not patient. Everyone who is not funny o... | John is old. | entailment | (![X]:(patient(X)<=>(~tall(X)&happy(X))))&
(![X]:(tall(X)<=>(generous(X)|strong(X))))&
(![X]:(~creative(X)=>(~humble(X)&old(X))))&
(![X]:(happy(X)<=>quiet(X)))&
((?[X]:(curious(X)))=>(?[X]:((~wise(X)|~patient(X)))))&
(![X]:((~funny(X)|creative(X))=>~calm(X)))&
((?[X]:((~old(X)|happy(X))))=>(?[X]:((~tall(X)<~>~generous(... | old(john) | [
"p1",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5562367344365459500453584
% SZS output start Proof for 5562367344365459500453584
2. ! [X0] : (tall(X0) <=> (strong(X0) | generous(X0))) [input p1]
7. ? [X0] : (happy(X0) | ~old(X0)) => ? [X0] : (~tall(X0) <~> ~generous(X0)) [input p6]
8. ! [X0] : ((rich(X0) | strong(X0)) <=> (generous(X0)... | 0 |
If someone is both curious and brave then someone is either tall or calm. If paul is either strong or not happy then someone is not wise. Everyone who is not tall or not creative is not curious or creative. If fred is both tall and kind then someone is either strong or generous and vice versa. If someone is both strong... | Fred is curious. | contradiction | ((?[X]:((curious(X)&brave(X))))=>(?[X]:((tall(X)<~>calm(X)))))&
(((strong(paul)<~>~happy(paul)))=>(?[X]:(~wise(X))))&
(![X]:((~tall(X)|~creative(X))=>(~curious(X)|creative(X))))&
(((tall(fred)&kind(fred)))<=>(?[X]:((strong(X)<~>generous(X)))))&
((?[X]:((strong(X)&brave(X))))=>((patient(alice)<~>happy(alice))))&
(((~wis... | curious(fred) | [
"p2",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4531121646539283029292469
% SZS output start Proof for 4531121646539283029292469
3. ! [X0] : ((~creative(X0) | ~tall(X0)) => (creative(X0) | ~curious(X0))) [input p2]
8. ! [X0] : ((~wise(X0) & humble(X0)) <=> (creative(X0) <~> humble(X0))) [input p7]
12. ! [X0] : ((~quiet(X0) & brave(X0))... | 0 |
Everyone who is either kind or brave is not old or strong. If someone is not quiet then someone is both not old and generous. If lucy is either not generous or not humble then mary is rich or not brave and vice versa. If someone is curious then fred is not wise and vice versa. If someone is either not tall or not creat... | Fred is curious. | neutral | (![X]:((kind(X)<~>brave(X))=>(~old(X)|strong(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~old(X)&generous(X)))))&
(((~generous(lucy)<~>~humble(lucy)))<=>((rich(mary)|~brave(mary))))&
((?[X]:(curious(X)))<=>(~wise(fred)))&
((?[X]:((~tall(X)<~>~creative(X))))<=>((patient(lucy)<~>~happy(lucy))))&
(((~old(paul)<~>~creative(paul)))... | curious(fred) | [] | null | 0 |
If someone is either strong or old then alice is curious and vice versa.
Everyone who is not curious or rich is kind or old and vice versa.
If paul is both not creative and strong then someone is either happy or not kind and vice versa.
If someone is both funny and not strong then someone is both humble and not strong.... | Lucy is not generous. | contradiction | ((?[X]:((strong(X)<~>old(X))))<=>(curious(alice)))&
(![X]:((~curious(X)|rich(X))<=>(kind(X)|old(X))))&
(((~creative(paul)&strong(paul)))<=>(?[X]:((happy(X)<~>~kind(X)))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((humble(X)&~strong(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((~calm(X)|~wise(X)))))&
(((generous(lucy)<~>strong(luc... | ~generous(lucy) | [
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7128083964937761278363803
% SZS output start Proof for 7128083964937761278363803
10. ! [X0] : ((old(X0) <~> brave(X0)) <=> ~tall(X0)) [input p9]
11. ? [X0] : old(X0) <=> (brave(alice) & ~happy(alice)) [input p10]
12. ! [X0] : ((~generous(X0) | humble(X0)) <=> (quiet(X0) <~> tall(X0))) [in... | 0 |
Everyone who is either not happy or creative is both wise and happy.
Everyone who is either creative or generous is either not brave or tall.
If susan is not tall or not generous then fred is either not patient or not old and vice versa.
If someone is both not tall and quiet then someone is either not quiet or kind and... | Alice is not old. | neutral | (![X]:((~happy(X)<~>creative(X))=>(wise(X)&happy(X))))&
(![X]:((creative(X)<~>generous(X))=>(~brave(X)<~>tall(X))))&
(((~tall(susan)|~generous(susan)))<=>((~patient(fred)<~>~old(fred))))&
((?[X]:((~tall(X)&quiet(X))))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(((~tall(alice)|tall(alice)))=>((kind(susan)|calm(susan))))&
(![X]:... | ~old(alice) | [] | null | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is brave.
If paul is not funny or not creative then fred is not patient.
Everyone who is curious or funny is both not funny and not happy.
Everyone who is both not creative and calm is both not rich and kind and vice versa.
Everyone who i... | Alice is not humble. | contradiction | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((~funny(paul)|~creative(paul)))=>(~patient(fred)))&
(![X]:((curious(X)|funny(X))=>(~funny(X)&~happy(X))))&
(![X]:((~creative(X)&calm(X))<=>(~rich(X)&kind(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~happy(X)<~>~rich(X))))&
(((~tall(john)|~quiet(... | ~humble(alice) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7555556984762366773724781
% SZS output start Proof for 7555556984762366773724781
4. ! [X0] : ((funny(X0) | curious(X0)) => (~happy(X0) & ~funny(X0))) [input p3]
9. ! [X0] : ((~humble(X0) | patient(X0)) => (funny(X0) & kind(X0))) [input p8]
24. ~humble(alice) [input hypothesis]
30. ! [X0] ... | 0 |
If fred is not happy or not old then someone is either not brave or not generous and vice versa. If someone is happy or not creative then alice is not old. If someone is not tall or not generous then someone is both kind and curious. Everyone who is not happy or brave is not creative and vice versa. Everyone who is eit... | Lucy is not quiet. | entailment | (((~happy(fred)|~old(fred)))<=>(?[X]:((~brave(X)<~>~generous(X)))))&
((?[X]:((happy(X)|~creative(X))))=>(~old(alice)))&
((?[X]:((~tall(X)|~generous(X))))=>(?[X]:((kind(X)&curious(X)))))&
(![X]:((~happy(X)|brave(X))<=>~creative(X)))&
(![X]:((~creative(X)<~>funny(X))=>(kind(X)&patient(X))))&
((?[X]:(~patient(X)))=>(?[X]:... | ~quiet(lucy) | [
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6192370692871140266448099
% SZS output start Proof for 6192370692871140266448099
4. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~creative(X0)) [input p3]
9. ! [X0] : ((old(X0) | ~kind(X0)) => (~wise(X0) & ~quiet(X0))) [input p8]
16. ! [X0] : (kind(X0) => (creative(X0) & brave(X0))) [input p15]... | 0 |
Everyone who is both curious and not old is happy. Everyone who is not tall is not patient. If lucy is not strong then mary is funny and vice versa. Everyone who is kind or not quiet is not brave or happy and vice versa. Everyone who is either not curious or happy is either humble or not happy. If someone is tall or cu... | Susan is kind. | entailment | (![X]:((curious(X)&~old(X))=>happy(X)))&
(![X]:(~tall(X)=>~patient(X)))&
((~strong(lucy))<=>(funny(mary)))&
(![X]:((kind(X)|~quiet(X))<=>(~brave(X)|happy(X))))&
(![X]:((~curious(X)<~>happy(X))=>(humble(X)<~>~happy(X))))&
((?[X]:((tall(X)|curious(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((patient(X)&~happy(X))<=>(... | kind(susan) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6304271989167059167101331
% SZS output start Proof for 6304271989167059167101331
1. ! [X0] : ((~old(X0) & curious(X0)) => happy(X0)) [input p0]
5. ! [X0] : ((~curious(X0) <~> happy(X0)) => (humble(X0) <~> ~happy(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & patient(X0)) <=> (kind(X0) <~> hu... | 0 |
If someone is not old or not generous then someone is not creative or kind and vice versa.
Everyone who is either funny or not humble is patient or not generous and vice versa.
Everyone who is humble or kind is both calm and tall and vice versa.
Everyone who is both generous and not brave is either creative or not crea... | Mary is not generous. | contradiction | ((?[X]:((~old(X)|~generous(X))))<=>(?[X]:((~creative(X)|kind(X)))))&
(![X]:((funny(X)<~>~humble(X))<=>(patient(X)|~generous(X))))&
(![X]:((humble(X)|kind(X))<=>(calm(X)&tall(X))))&
(![X]:((generous(X)&~brave(X))<=>(creative(X)<~>~creative(X))))&
((?[X]:((calm(X)<~>wise(X))))=>((rich(fred)&~curious(fred))))&
(![X]:((~ri... | ~generous(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 711161503571672789825443
% SZS output start Proof for 711161503571672789825443
4. ! [X0] : ((~brave(X0) & generous(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p3]
23. ~generous(mary) [input hypothesis]
43. ! [X0] : (((~brave(X0) & generous(X0)) | ((creative(X0) | creative(X0)) & (~c... | 0 |
Everyone who is strong or not curious is kind and vice versa.
Everyone who is not strong is wise and vice versa.
If someone is not happy or not patient then someone is not creative.
If someone is brave then lucy is either happy or not kind.
If someone is both creative and not brave then someone is old or strong.
Everyo... | Lucy is curious. | contradiction | (![X]:((strong(X)|~curious(X))<=>kind(X)))&
(![X]:(~strong(X)<=>wise(X)))&
((?[X]:((~happy(X)|~patient(X))))=>(?[X]:(~creative(X))))&
((?[X]:(brave(X)))=>((happy(lucy)<~>~kind(lucy))))&
((?[X]:((creative(X)&~brave(X))))=>(?[X]:((old(X)|strong(X)))))&
(![X]:((funny(X)<~>curious(X))<=>(happy(X)&rich(X))))&
(![X]:((~funny... | curious(lucy) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3954563173510733925333236
% SZS output start Proof for 3954563173510733925333236
1. ! [X0] : ((~curious(X0) | strong(X0)) <=> kind(X0)) [input p0]
2. ! [X0] : (~strong(X0) <=> wise(X0)) [input p1]
6. ! [X0] : ((funny(X0) <~> curious(X0)) <=> (rich(X0) & happy(X0))) [input p5]
7. ! [X0] : ... | 0 |
If someone is not tall then someone is either generous or quiet and vice versa.
Everyone who is wise is funny or not tall.
Everyone who is tall is both rich and funny and vice versa.
Everyone who is either creative or strong is both not calm and not brave and vice versa.
Everyone who is not tall or rich is both tall an... | Lucy is kind. | entailment | ((?[X]:(~tall(X)))<=>(?[X]:((generous(X)<~>quiet(X)))))&
(![X]:(wise(X)=>(funny(X)|~tall(X))))&
(![X]:(tall(X)<=>(rich(X)&funny(X))))&
(![X]:((creative(X)<~>strong(X))<=>(~calm(X)&~brave(X))))&
(![X]:((~tall(X)|rich(X))=>(tall(X)&calm(X))))&
(![X]:((generous(X)|patient(X))<=>(quiet(X)|~quiet(X))))&
(![X]:((tall(X)&humb... | kind(lucy) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5196990411432899023191563
% SZS output start Proof for 5196990411432899023191563
3. ! [X0] : (tall(X0) <=> (funny(X0) & rich(X0))) [input p2]
4. ! [X0] : ((creative(X0) <~> strong(X0)) <=> (~brave(X0) & ~calm(X0))) [input p3]
5. ! [X0] : ((rich(X0) | ~tall(X0)) => (calm(X0) & tall(X0))) [... | 0 |
If fred is both generous and not creative then someone is happy and vice versa. Everyone who is both not calm and quiet is either quiet or rich. If fred is either not curious or strong then someone is old or not curious. If someone is curious then mary is both not old and generous and vice versa. Everyone who is not cu... | Fred is generous. | contradiction | (((generous(fred)&~creative(fred)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)&quiet(X))=>(quiet(X)<~>rich(X))))&
(((~curious(fred)<~>strong(fred)))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:(curious(X)))<=>((~old(mary)&generous(mary))))&
(![X]:(~curious(X)<=>(~generous(X)&~old(X))))&
(![X]:((~kind(X)|wise(X))=>funny(X)))&
(... | generous(fred) | [
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 584876659797828583586443
% SZS output start Proof for 584876659797828583586443
4. ? [X0] : curious(X0) <=> (generous(mary) & ~old(mary)) [input p3]
5. ! [X0] : (~curious(X0) <=> (~old(X0) & ~generous(X0))) [input p4]
8. ! [X0] : (~old(X0) => (~calm(X0) & ~generous(X0))) [input p7]
20. gen... | 0 |
If someone is calm or not happy then alice is strong and vice versa.
If someone is both not generous and patient then someone is either funny or generous and vice versa.
Everyone who is both generous and not rich is not happy or not brave and vice versa.
If mary is both humble and not strong then paul is either not gen... | Mary is calm. | neutral | ((?[X]:((calm(X)|~happy(X))))<=>(strong(alice)))&
((?[X]:((~generous(X)&patient(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
(![X]:((generous(X)&~rich(X))<=>(~happy(X)|~brave(X))))&
(((humble(mary)&~strong(mary)))<=>((~generous(paul)<~>rich(paul))))&
(![X]:((patient(X)|curious(X))=>(calm(X)<~>~funny(X))))&
((?[X]:((rich... | calm(mary) | [] | null | 0 |
If someone is both funny and calm then paul is tall. If lucy is creative or not rich then mary is not quiet or calm. If lucy is not tall then someone is both strong and creative and vice versa. If someone is both funny and curious then susan is either creative or generous and vice versa. If fred is strong then john is ... | Susan is not generous. | neutral | ((?[X]:((funny(X)&calm(X))))=>(tall(paul)))&
(((creative(lucy)|~rich(lucy)))=>((~quiet(mary)|calm(mary))))&
((~tall(lucy))<=>(?[X]:((strong(X)&creative(X)))))&
((?[X]:((funny(X)&curious(X))))<=>((creative(susan)<~>generous(susan))))&
((strong(fred))<=>((kind(john)|wise(john))))&
((?[X]:((happy(X)|~brave(X))))<=>((brave... | ~generous(susan) | [] | null | 0 |
Everyone who is either not happy or brave is calm and vice versa.
Everyone who is rich is both quiet and strong and vice versa.
If someone is not patient or old then lucy is both not quiet and patient and vice versa.
Everyone who is either not wise or not curious is patient and vice versa.
Everyone who is either not qu... | Lucy is kind. | entailment | (![X]:((~happy(X)<~>brave(X))<=>calm(X)))&
(![X]:(rich(X)<=>(quiet(X)&strong(X))))&
((?[X]:((~patient(X)|old(X))))<=>((~quiet(lucy)&patient(lucy))))&
(![X]:((~wise(X)<~>~curious(X))<=>patient(X)))&
(![X]:((~quiet(X)<~>~happy(X))<=>tall(X)))&
(((~creative(fred)&rich(fred)))<=>(?[X]:((~humble(X)|~kind(X)))))&
((?[X]:((ha... | kind(lucy) | [
"p1",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 392570341344592016724142
% SZS output start Proof for 392570341344592016724142
2. ! [X0] : (rich(X0) <=> (strong(X0) & quiet(X0))) [input p1]
6. (rich(fred) & ~creative(fred)) <=> ? [X0] : (~kind(X0) | ~humble(X0)) [input p5]
17. ~quiet(fred) & tall(fred) [input p16]
23. ~kind(lucy) [inpu... | 0 |
If someone is both rich and not kind then someone is either not patient or calm and vice versa.
Everyone who is not happy is both not creative and not curious.
If someone is both not rich and not strong then someone is either not creative or not calm.
If someone is both not quiet and generous then someone is not genero... | Lucy is rich. | neutral | ((?[X]:((rich(X)&~kind(X))))<=>(?[X]:((~patient(X)<~>calm(X)))))&
(![X]:(~happy(X)=>(~creative(X)&~curious(X))))&
((?[X]:((~rich(X)&~strong(X))))=>(?[X]:((~creative(X)<~>~calm(X)))))&
((?[X]:((~quiet(X)&generous(X))))=>(?[X]:(~generous(X))))&
(![X]:(kind(X)=>strong(X)))&
((?[X]:((~kind(X)&~patient(X))))=>(?[X]:((~funny... | rich(lucy) | [] | null | 0 |
If someone is both old and not old then someone is quiet or not humble and vice versa. If lucy is not creative or not patient then someone is both generous and tall and vice versa. Everyone who is either not brave or humble is not curious and vice versa. Everyone who is either funny or not funny is calm. Everyone who i... | Fred is funny. | neutral | ((?[X]:((old(X)&~old(X))))<=>(?[X]:((quiet(X)|~humble(X)))))&
(((~creative(lucy)|~patient(lucy)))<=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((~brave(X)<~>humble(X))<=>~curious(X)))&
(![X]:((funny(X)<~>~funny(X))=>calm(X)))&
(![X]:((~creative(X)&~tall(X))=>(~strong(X)|curious(X))))&
((?[X]:(wise(X)))<=>((quiet(alice)<~>~... | funny(fred) | [] | null | 0 |
Everyone who is brave is not funny and vice versa.
If someone is both not rich and not creative then someone is both curious and old and vice versa.
Everyone who is either not rich or funny is calm or not curious.
If someone is both not curious and not generous then someone is not generous or old.
If someone is either ... | Alice is not patient. | neutral | (![X]:(brave(X)<=>~funny(X)))&
((?[X]:((~rich(X)&~creative(X))))<=>(?[X]:((curious(X)&old(X)))))&
(![X]:((~rich(X)<~>funny(X))=>(calm(X)|~curious(X))))&
((?[X]:((~curious(X)&~generous(X))))=>(?[X]:((~generous(X)|old(X)))))&
((?[X]:((wise(X)<~>~old(X))))<=>((~humble(mary)<~>patient(mary))))&
(![X]:(curious(X)<=>(quiet(X... | ~patient(alice) | [] | null | 0 |
If someone is tall then someone is both not creative and not brave. Everyone who is happy is both not calm and not happy. If lucy is rich then someone is not strong. Everyone who is both not old and not generous is not curious. If someone is both strong and not calm then someone is not quiet or not humble and vice vers... | John is funny. | contradiction | ((?[X]:(tall(X)))=>(?[X]:((~creative(X)&~brave(X)))))&
(![X]:(happy(X)=>(~calm(X)&~happy(X))))&
((rich(lucy))=>(?[X]:(~strong(X))))&
(![X]:((~old(X)&~generous(X))=>~curious(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:((~quiet(X)|~humble(X)))))&
(![X]:((~quiet(X)<~>~curious(X))<=>(~funny(X)<~>old(X))))&
(![X]:((~curiou... | funny(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 767838600574472750829266
% SZS output start Proof for 767838600574472750829266
23. ~funny(john) & rich(john) [input p22]
25. funny(john) [input hypothesis]
158. ~funny(john) [cnf transformation 23]
161. funny(john) [cnf transformation 25]
393. $false [subsumption resolution 161,158]
% SZS... | 0 |
Everyone who is creative is both not wise and not rich and vice versa.
If john is not calm then lucy is both quiet and humble and vice versa.
Everyone who is either creative or wise is calm or not brave and vice versa.
Everyone who is not brave is either not curious or tall.
Everyone who is either quiet or funny is pat... | Paul is not patient. | contradiction | (![X]:(creative(X)<=>(~wise(X)&~rich(X))))&
((~calm(john))<=>((quiet(lucy)&humble(lucy))))&
(![X]:((creative(X)<~>wise(X))<=>(calm(X)|~brave(X))))&
(![X]:(~brave(X)=>(~curious(X)<~>tall(X))))&
(![X]:((quiet(X)<~>funny(X))=>(patient(X)|tall(X))))&
(![X]:((~patient(X)&~happy(X))=>(funny(X)<~>~tall(X))))&
(![X]:(~brave(X)... | ~patient(paul) | [
"p0",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5507900058155359283624366
% SZS output start Proof for 5507900058155359283624366
1. ! [X0] : (creative(X0) <=> (~rich(X0) & ~wise(X0))) [input p0]
7. ! [X0] : (~brave(X0) <=> rich(X0)) [input p6]
11. ! [X0] : ((~patient(X0) | creative(X0)) => (brave(X0) <~> creative(X0))) [input p10]
13. ... | 0 |
Everyone who is not old is tall and vice versa.
If someone is both not calm and curious then john is both tall and not tall.
If someone is either calm or not wise then mary is both patient and not wise and vice versa.
Everyone who is both not humble and funny is calm or not tall and vice versa.
Everyone who is either w... | Lucy is not creative. | entailment | (![X]:(~old(X)<=>tall(X)))&
((?[X]:((~calm(X)&curious(X))))=>((tall(john)&~tall(john))))&
((?[X]:((calm(X)<~>~wise(X))))<=>((patient(mary)&~wise(mary))))&
(![X]:((~humble(X)&funny(X))<=>(calm(X)|~tall(X))))&
(![X]:((wise(X)<~>tall(X))<=>wise(X)))&
(![X]:((kind(X)&~brave(X))<=>(~curious(X)&~rich(X))))&
(![X]:((~old(X)&~... | ~creative(lucy) | [
"p3",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4759300896396469190744582
% SZS output start Proof for 4759300896396469190744582
4. ! [X0] : ((funny(X0) & ~humble(X0)) <=> (~tall(X0) | calm(X0))) [input p3]
5. ! [X0] : ((wise(X0) <~> tall(X0)) <=> wise(X0)) [input p4]
14. ! [X0] : ((~humble(X0) <~> ~brave(X0)) <=> (~creative(X0) <~> ~b... | 0 |
If someone is either humble or wise then mary is either old or calm and vice versa.
If someone is tall or not brave then someone is not tall or not rich and vice versa.
Everyone who is either not wise or not calm is either not brave or wise and vice versa.
If someone is tall or not creative then john is both curious an... | John is not happy. | entailment | ((?[X]:((humble(X)<~>wise(X))))<=>((old(mary)<~>calm(mary))))&
((?[X]:((tall(X)|~brave(X))))<=>(?[X]:((~tall(X)|~rich(X)))))&
(![X]:((~wise(X)<~>~calm(X))<=>(~brave(X)<~>wise(X))))&
((?[X]:((tall(X)|~creative(X))))<=>((curious(john)&~creative(john))))&
(![X]:((~old(X)|funny(X))=>~wise(X)))&
(![X]:((~humble(X)<~>rich(X)... | ~happy(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4536968830261425646516962
% SZS output start Proof for 4536968830261425646516962
17. ~happy(john) & wise(john) [input p16]
24. happy(john) [input hypothesis]
154. ~happy(john) [cnf transformation 17]
162. happy(john) [cnf transformation 24]
439. $false [subsumption resolution 162,154]
% S... | 0 |
If lucy is curious or not wise then someone is not generous and vice versa.
If susan is not tall then alice is brave.
If someone is either not humble or humble then susan is not tall.
If someone is both brave and patient then john is patient and vice versa.
Everyone who is either not wise or quiet is old or not kind an... | Mary is not brave. | contradiction | (((curious(lucy)|~wise(lucy)))<=>(?[X]:(~generous(X))))&
((~tall(susan))=>(brave(alice)))&
((?[X]:((~humble(X)<~>humble(X))))=>(~tall(susan)))&
((?[X]:((brave(X)&patient(X))))<=>(patient(john)))&
(![X]:((~wise(X)<~>quiet(X))<=>(old(X)|~kind(X))))&
((?[X]:((tall(X)<~>patient(X))))=>(?[X]:((~strong(X)&happy(X)))))&
((?[X... | ~brave(mary) | [
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2934533019000980586397702
% SZS output start Proof for 2934533019000980586397702
9. ! [X0] : ((kind(X0) & quiet(X0)) <=> (funny(X0) | ~brave(X0))) [input p8]
16. ! [X0] : ((happy(X0) | wise(X0)) => ~kind(X0)) [input p15]
17. happy(mary) & wise(mary) [input p16]
25. ~brave(mary) [input hyp... | 0 |
Everyone who is not wise or not tall is both not brave and not calm and vice versa.
If someone is both not funny and not curious then someone is either not kind or not brave.
Everyone who is not humble is both generous and not brave and vice versa.
Everyone who is both calm and not tall is not old.
Everyone who is rich... | Susan is not humble. | entailment | (![X]:((~wise(X)|~tall(X))<=>(~brave(X)&~calm(X))))&
((?[X]:((~funny(X)&~curious(X))))=>(?[X]:((~kind(X)<~>~brave(X)))))&
(![X]:(~humble(X)<=>(generous(X)&~brave(X))))&
(![X]:((calm(X)&~tall(X))=>~old(X)))&
(![X]:(rich(X)=>~tall(X)))&
(![X]:((quiet(X)&~curious(X))<=>(~old(X)<~>tall(X))))&
(![X]:(~happy(X)=>~patient(X))... | ~humble(susan) | [
"p6",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 888731542214928086652810
% SZS output start Proof for 888731542214928086652810
7. ! [X0] : (~happy(X0) => ~patient(X0)) [input p6]
11. ? [X0] : (happy(X0) | brave(X0)) => (happy(susan) & rich(susan)) [input p10]
12. ! [X0] : ((~quiet(X0) <~> ~brave(X0)) => (~brave(X0) & ~funny(X0))) [inpu... | 0 |
Everyone who is both calm and patient is both brave and quiet.
If someone is both not kind and strong then mary is not patient and vice versa.
If paul is not kind or generous then someone is not quiet or not humble and vice versa.
If john is not wise or not rich then lucy is not quiet and vice versa.
Everyone who is bo... | Mary is tall. | contradiction | (![X]:((calm(X)&patient(X))=>(brave(X)&quiet(X))))&
((?[X]:((~kind(X)&strong(X))))<=>(~patient(mary)))&
(((~kind(paul)|generous(paul)))<=>(?[X]:((~quiet(X)|~humble(X)))))&
(((~wise(john)|~rich(john)))<=>(~quiet(lucy)))&
(![X]:((happy(X)&brave(X))=>(strong(X)&quiet(X))))&
((?[X]:(old(X)))<=>(?[X]:((~funny(X)&humble(X)))... | tall(mary) | [
"p7",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5360287713292840291433543
% SZS output start Proof for 5360287713292840291433543
8. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (curious(X0) | funny(X0))) [input p7]
14. ! [X0] : ((brave(X0) | old(X0)) => (~strong(X0) & rich(X0))) [input p13]
16. funny(mary) <=> ? [X0] : rich(X0) [input p15]... | 0 |
Everyone who is either curious or not happy is generous. Everyone who is either patient or tall is not wise or generous. If someone is either patient or not calm then paul is both brave and not quiet and vice versa. If john is creative or not rich then fred is either not quiet or quiet and vice versa. If someone is bot... | Fred is calm. | neutral | (![X]:((curious(X)<~>~happy(X))=>generous(X)))&
(![X]:((patient(X)<~>tall(X))=>(~wise(X)|generous(X))))&
((?[X]:((patient(X)<~>~calm(X))))<=>((brave(paul)&~quiet(paul))))&
(((creative(john)|~rich(john)))<=>((~quiet(fred)<~>quiet(fred))))&
((?[X]:((~creative(X)&happy(X))))<=>((generous(fred)<~>~curious(fred))))&
(![X]:(... | calm(fred) | [] | null | 0 |
If someone is both patient and not patient then someone is quiet or not wise and vice versa. Everyone who is quiet is either funny or strong. Everyone who is either not funny or not old is both not humble and not kind. Everyone who is quiet or wise is not strong or not funny and vice versa. If someone is both not patie... | Lucy is creative. | neutral | ((?[X]:((patient(X)&~patient(X))))<=>(?[X]:((quiet(X)|~wise(X)))))&
(![X]:(quiet(X)=>(funny(X)<~>strong(X))))&
(![X]:((~funny(X)<~>~old(X))=>(~humble(X)&~kind(X))))&
(![X]:((quiet(X)|wise(X))<=>(~strong(X)|~funny(X))))&
((?[X]:((~patient(X)&~brave(X))))<=>(?[X]:((wise(X)|brave(X)))))&
(![X]:(humble(X)<=>creative(X)))&
... | creative(lucy) | [] | null | 0 |
Everyone who is either not curious or patient is not happy and vice versa.
Everyone who is both not strong and not old is both curious and strong.
Everyone who is both generous and rich is both not strong and rich.
Everyone who is both not kind and not generous is not patient and vice versa.
Everyone who is wise or not... | Susan is happy. | neutral | (![X]:((~curious(X)<~>patient(X))<=>~happy(X)))&
(![X]:((~strong(X)&~old(X))=>(curious(X)&strong(X))))&
(![X]:((generous(X)&rich(X))=>(~strong(X)&rich(X))))&
(![X]:((~kind(X)&~generous(X))<=>~patient(X)))&
(![X]:((wise(X)|~quiet(X))<=>(patient(X)|wise(X))))&
(![X]:((brave(X)|happy(X))<=>(~generous(X)&happy(X))))&
(((hu... | happy(susan) | [] | null | 0 |
If someone is not brave then fred is either not happy or not quiet and vice versa.
If susan is either quiet or not funny then paul is patient or kind.
If someone is rich then susan is not humble and vice versa.
Everyone who is not wise or humble is not humble and vice versa.
Everyone who is not calm or not happy is bot... | Mary is not strong. | contradiction | ((?[X]:(~brave(X)))<=>((~happy(fred)<~>~quiet(fred))))&
(((quiet(susan)<~>~funny(susan)))=>((patient(paul)|kind(paul))))&
((?[X]:(rich(X)))<=>(~humble(susan)))&
(![X]:((~wise(X)|humble(X))<=>~humble(X)))&
(![X]:((~calm(X)|~happy(X))<=>(generous(X)&tall(X))))&
(![X]:((~old(X)<~>funny(X))<=>old(X)))&
(![X]:(kind(X)<=>(ge... | ~strong(mary) | [
"p3",
"p4",
"p5",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 73103191057486282006623
% SZS output start Proof for 73103191057486282006623
4. ! [X0] : ((humble(X0) | ~wise(X0)) <=> ~humble(X0)) [input p3]
5. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> (tall(X0) & generous(X0))) [input p4]
6. ! [X0] : ((~old(X0) <~> funny(X0)) <=> old(X0)) [input p5]
7. !... | 0 |
If fred is not brave or not tall then mary is wise and vice versa.
If someone is happy or tall then someone is tall.
Everyone who is not curious is both not wise and wise.
If susan is creative or happy then mary is not creative and vice versa.
Everyone who is either patient or tall is both wise and not brave.
If alice ... | Susan is not brave. | contradiction | (((~brave(fred)|~tall(fred)))<=>(wise(mary)))&
((?[X]:((happy(X)|tall(X))))=>(?[X]:(tall(X))))&
(![X]:(~curious(X)=>(~wise(X)&wise(X))))&
(((creative(susan)|happy(susan)))<=>(~creative(mary)))&
(![X]:((patient(X)<~>tall(X))=>(wise(X)&~brave(X))))&
(((funny(alice)&rich(alice)))=>((~funny(alice)&kind(alice))))&
(![X]:((~... | ~brave(susan) | [
"p2",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7105892124749619341471353
% SZS output start Proof for 7105892124749619341471353
3. ! [X0] : (~curious(X0) => (wise(X0) & ~wise(X0))) [input p2]
14. ! [X0] : ((~strong(X0) | old(X0)) <=> ~curious(X0)) [input p13]
21. ~brave(susan) <~> strong(susan) [input p20]
25. ~brave(susan) [input hyp... | 0 |
Everyone who is funny or humble is humble and vice versa. Everyone who is not tall is not calm or not tall. Everyone who is both not funny and not curious is not generous or generous. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is bot... | John is patient. | entailment | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:(~tall(X)=>(~calm(X)|~tall(X))))&
(![X]:((~funny(X)&~curious(X))=>(~generous(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(pa... | patient(john) | [
"p4",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5422327738501542088937172
% SZS output start Proof for 5422327738501542088937172
5. ! [X0] : ((old(X0) <~> ~tall(X0)) <=> (old(X0) | funny(X0))) [input p4]
16. ! [X0] : ((~rich(X0) | generous(X0)) <=> (tall(X0) <~> ~patient(X0))) [input p15]
18. ~funny(john) & ~rich(john) [input p17]
23. ... | 0 |
If someone is not generous then someone is not calm or old and vice versa.
If someone is both kind and not creative then lucy is either rich or kind and vice versa.
Everyone who is either funny or not old is either not happy or kind.
Everyone who is either not tall or not creative is either not brave or not happy and v... | Paul is not old. | neutral | ((?[X]:(~generous(X)))<=>(?[X]:((~calm(X)|old(X)))))&
((?[X]:((kind(X)&~creative(X))))<=>((rich(lucy)<~>kind(lucy))))&
(![X]:((funny(X)<~>~old(X))=>(~happy(X)<~>kind(X))))&
(![X]:((~tall(X)<~>~creative(X))<=>(~brave(X)<~>~happy(X))))&
(((wise(fred)&generous(fred)))<=>(?[X]:(~generous(X))))&
((?[X]:(wise(X)))<=>(?[X]:((... | ~old(paul) | [] | null | 0 |
Everyone who is either wise or not happy is both not patient and kind.
Everyone who is not quiet is both not creative and calm and vice versa.
If someone is either not patient or not old then someone is either patient or calm and vice versa.
Everyone who is happy or not wise is both brave and not brave and vice versa.
... | Alice is brave. | entailment | (![X]:((wise(X)<~>~happy(X))=>(~patient(X)&kind(X))))&
(![X]:(~quiet(X)<=>(~creative(X)&calm(X))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((patient(X)<~>calm(X)))))&
(![X]:((happy(X)|~wise(X))<=>(brave(X)&~brave(X))))&
(![X]:((funny(X)<~>~kind(X))<=>kind(X)))&
(![X]:((~generous(X)|quiet(X))=>(strong(X)&~tall(X))))&... | brave(alice) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1434764794702330725563301
% SZS output start Proof for 1434764794702330725563301
4. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p3]
9. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> brave(X0)) [input p8]
24. ~brave(alice) [input hypothesis]
40. ! [X0] : (((~wise(X0) |... | 0 |
If someone is calm or not creative then paul is not curious or not creative and vice versa. Everyone who is humble is strong and vice versa. If someone is patient or calm then alice is both rich and not brave. If alice is both brave and not humble then lucy is not patient or wise and vice versa. Everyone who is both cu... | Fred is rich. | contradiction | ((?[X]:((calm(X)|~creative(X))))<=>((~curious(paul)|~creative(paul))))&
(![X]:(humble(X)<=>strong(X)))&
((?[X]:((patient(X)|calm(X))))=>((rich(alice)&~brave(alice))))&
(((brave(alice)&~humble(alice)))<=>((~patient(lucy)|wise(lucy))))&
(![X]:((curious(X)&kind(X))=>(~curious(X)&~tall(X))))&
(((calm(mary)&~rich(mary)))=>(... | rich(fred) | [
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 388244303222616960111304
% SZS output start Proof for 388244303222616960111304
16. ? [X0] : ~strong(X0) => (~humble(fred) & ~rich(fred)) [input p15]
23. ~strong(john) & ~old(john) [input p22]
24. rich(fred) [input hypothesis]
40. (~humble(fred) & ~rich(fred)) | ! [X0] : strong(X0) [ennf t... | 0 |
Everyone who is both brave and calm is not curious or tall. Everyone who is not old is either not generous or old. Everyone who is curious is brave. Everyone who is not happy or not creative is old or generous and vice versa. Everyone who is both not curious and not creative is quiet or kind. If someone is tall or gene... | Susan is tall. | entailment | (![X]:((brave(X)&calm(X))=>(~curious(X)|tall(X))))&
(![X]:(~old(X)=>(~generous(X)<~>old(X))))&
(![X]:(curious(X)=>brave(X)))&
(![X]:((~happy(X)|~creative(X))<=>(old(X)|generous(X))))&
(![X]:((~curious(X)&~creative(X))=>(quiet(X)|kind(X))))&
((?[X]:((tall(X)|generous(X))))<=>(?[X]:((~patient(X)&humble(X)))))&
(![X]:((~q... | tall(susan) | [
"p0",
"p1",
"p2",
"p3",
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3907089635777947805795899
% SZS output start Proof for 3907089635777947805795899
1. ! [X0] : ((calm(X0) & brave(X0)) => (tall(X0) | ~curious(X0))) [input p0]
2. ! [X0] : (~old(X0) => (~generous(X0) <~> old(X0))) [input p1]
3. ! [X0] : (curious(X0) => brave(X0)) [input p2]
4. ! [X0] : ((~c... | 0 |
Everyone who is not creative or not brave is both rich and quiet. If someone is not patient or not generous then lucy is calm and vice versa. If mary is not generous then john is either funny or not curious. Everyone who is not kind or not humble is not brave or not funny. Everyone who is both brave and funny is not cu... | Alice is wise. | contradiction | (![X]:((~creative(X)|~brave(X))=>(rich(X)&quiet(X))))&
((?[X]:((~patient(X)|~generous(X))))<=>(calm(lucy)))&
((~generous(mary))=>((funny(john)<~>~curious(john))))&
(![X]:((~kind(X)|~humble(X))=>(~brave(X)|~funny(X))))&
(![X]:((brave(X)&funny(X))=>(~curious(X)|~strong(X))))&
((?[X]:(funny(X)))=>(creative(lucy)))&
(((kin... | wise(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8229941323052186202279585
% SZS output start Proof for 8229941323052186202279585
12. ! [X0] : ((generous(X0) <~> ~generous(X0)) => ~wise(X0)) [input p11]
23. wise(alice) [input hypothesis]
36. ! [X0] : (~wise(X0) | (generous(X0) <=> ~generous(X0))) [ennf transformation 12]
50. ! [X0] : (~... | 0 |
If someone is both humble and not brave then mary is both kind and not humble and vice versa. Everyone who is not happy or rich is both not calm and not rich and vice versa. If lucy is either kind or not quiet then lucy is either generous or not calm. Everyone who is either strong or not quiet is either not calm or not... | Mary is not patient. | contradiction | ((?[X]:((humble(X)&~brave(X))))<=>((kind(mary)&~humble(mary))))&
(![X]:((~happy(X)|rich(X))<=>(~calm(X)&~rich(X))))&
(((kind(lucy)<~>~quiet(lucy)))=>((generous(lucy)<~>~calm(lucy))))&
(![X]:((strong(X)<~>~quiet(X))=>(~calm(X)<~>~curious(X))))&
(![X]:(~humble(X)<=>(~happy(X)|curious(X))))&
((?[X]:(~calm(X)))=>(?[X]:((ki... | ~patient(mary) | [
"p7",
"p8",
"p10",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5139886671227556773124868
% SZS output start Proof for 5139886671227556773124868
8. ! [X0] : (~generous(X0) <=> (generous(X0) | calm(X0))) [input p7]
9. ! [X0] : (~kind(X0) <=> (~tall(X0) | brave(X0))) [input p8]
11. ! [X0] : ((generous(X0) & old(X0)) <=> (~brave(X0) & ~quiet(X0))) [input... | 0 |
If alice is funny then alice is not rich.
Everyone who is generous is both curious and funny.
Everyone who is generous is both not tall and quiet and vice versa.
If someone is both funny and not wise then someone is funny.
Everyone who is kind is not creative or happy and vice versa.
If someone is both curious and not ... | Lucy is patient. | contradiction | ((funny(alice))=>(~rich(alice)))&
(![X]:(generous(X)=>(curious(X)&funny(X))))&
(![X]:(generous(X)<=>(~tall(X)&quiet(X))))&
((?[X]:((funny(X)&~wise(X))))=>(?[X]:(funny(X))))&
(![X]:(kind(X)<=>(~creative(X)|happy(X))))&
((?[X]:((curious(X)&~creative(X))))=>((wise(john)<~>~generous(john))))&
((?[X]:(~funny(X)))=>(?[X]:(ki... | patient(lucy) | [
"p4",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4249018594952375897362898
% SZS output start Proof for 4249018594952375897362898
5. ! [X0] : (kind(X0) <=> (happy(X0) | ~creative(X0))) [input p4]
15. ? [X0] : (happy(X0) & creative(X0)) <=> ? [X0] : patient(X0) [input p14]
16. ! [X0] : ((kind(X0) | ~brave(X0)) => (~patient(X0) & ~creativ... | 0 |
If mary is either not strong or generous then paul is not calm and vice versa. If susan is either happy or not wise then paul is either not humble or not rich. If fred is either kind or wise then lucy is either not brave or old and vice versa. Everyone who is either funny or not rich is both not wise and not calm. Ever... | Susan is not funny. | entailment | (((~strong(mary)<~>generous(mary)))<=>(~calm(paul)))&
(((happy(susan)<~>~wise(susan)))=>((~humble(paul)<~>~rich(paul))))&
(((kind(fred)<~>wise(fred)))<=>((~brave(lucy)<~>old(lucy))))&
(![X]:((funny(X)<~>~rich(X))=>(~wise(X)&~calm(X))))&
(![X]:((creative(X)|old(X))=>(~creative(X)&~brave(X))))&
(![X]:((patient(X)&kind(X)... | ~funny(susan) | [
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4253584798387306775114470
% SZS output start Proof for 4253584798387306775114470
7. ! [X0] : (rich(X0) => (~brave(X0) & ~rich(X0))) [input p6]
15. ! [X0] : ((funny(X0) <~> ~generous(X0)) <=> (rich(X0) & ~creative(X0))) [input p14]
16. ! [X0] : (~rich(X0) <=> generous(X0)) [input p15]
23. ... | 0 |
If someone is either rich or not creative then fred is not tall or not happy and vice versa. If someone is brave then someone is calm and vice versa. If alice is both not wise and not quiet then someone is both calm and not old and vice versa. Everyone who is wise or not patient is either not happy or rich and vice ver... | Mary is old. | entailment | ((?[X]:((rich(X)<~>~creative(X))))<=>((~tall(fred)|~happy(fred))))&
((?[X]:(brave(X)))<=>(?[X]:(calm(X))))&
(((~wise(alice)&~quiet(alice)))<=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((wise(X)|~patient(X))<=>(~happy(X)<~>rich(X))))&
(![X]:(~kind(X)=>(wise(X)<~>creative(X))))&
(![X]:(calm(X)<=>~old(X)))&
(![X]:((wise(X)&~humb... | old(mary) | [
"p2",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3721624961291146682637502
% SZS output start Proof for 3721624961291146682637502
3. (~quiet(alice) & ~wise(alice)) <=> ? [X0] : (~old(X0) & calm(X0)) [input p2]
6. ! [X0] : (calm(X0) <=> ~old(X0)) [input p5]
14. ! [X0] : ((creative(X0) | ~wise(X0)) => (quiet(X0) & ~curious(X0))) [input p1... | 0 |
If someone is not patient or generous then mary is not quiet or not humble. Everyone who is both wise and not happy is either old or not creative and vice versa. Everyone who is not quiet or not happy is both calm and creative. Everyone who is both patient and not generous is both quiet and not generous and vice versa.... | Lucy is not creative. | contradiction | ((?[X]:((~patient(X)|generous(X))))=>((~quiet(mary)|~humble(mary))))&
(![X]:((wise(X)&~happy(X))<=>(old(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~happy(X))=>(calm(X)&creative(X))))&
(![X]:((patient(X)&~generous(X))<=>(quiet(X)&~generous(X))))&
(![X]:((curious(X)|~wise(X))<=>(~wise(X)|~rich(X))))&
(![X]:((~quiet(X)<~>~ha... | ~creative(lucy) | [
"p2",
"p4",
"p7",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9216288350696774432759736
% SZS output start Proof for 9216288350696774432759736
3. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (creative(X0) & calm(X0))) [input p2]
5. ! [X0] : ((~wise(X0) | curious(X0)) <=> (~rich(X0) | ~wise(X0))) [input p4]
8. ! [X0] : ((~rich(X0) & creative(X0)) <=> (rich... | 0 |
If someone is tall then alice is both not funny and not strong and vice versa. Everyone who is not rich or calm is both not calm and not creative. If susan is not happy then someone is either patient or not creative. If alice is both not creative and not kind then paul is happy. Everyone who is not patient is both wise... | Mary is tall. | contradiction | ((?[X]:(tall(X)))<=>((~funny(alice)&~strong(alice))))&
(![X]:((~rich(X)|calm(X))=>(~calm(X)&~creative(X))))&
((~happy(susan))=>(?[X]:((patient(X)<~>~creative(X)))))&
(((~creative(alice)&~kind(alice)))=>(happy(paul)))&
(![X]:(~patient(X)=>(wise(X)&~brave(X))))&
((~quiet(mary))<=>((~quiet(john)&~kind(john))))&
(![X]:(kin... | tall(mary) | [
"p4",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5728984222343658827861194
% SZS output start Proof for 5728984222343658827861194
5. ! [X0] : (~patient(X0) => (~brave(X0) & wise(X0))) [input p4]
7. ! [X0] : (kind(X0) <=> brave(X0)) [input p6]
9. ! [X0] : ((~creative(X0) | tall(X0)) <=> (tall(X0) <~> ~kind(X0))) [input p8]
16. ! [X0] : (... | 0 |
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