premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both creative and rich is creative or strong and vice versa.
If someone is either rich or happy then someone is both not funny and not curious and vice versa.
If someone is either not humble or not generous then someone is either brave or strong.
Everyone who is not rich or brave is both not tall and st... | Lucy is not creative. | contradiction | (![X]:((creative(X)&rich(X))<=>(creative(X)|strong(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((~funny(X)&~curious(X)))))&
((?[X]:((~humble(X)<~>~generous(X))))=>(?[X]:((brave(X)<~>strong(X)))))&
(![X]:((~rich(X)|brave(X))=>(~tall(X)&strong(X))))&
(((brave(mary)&~creative(mary)))<=>(?[X]:((funny(X)|~quiet(X)))))&
(!... | ~creative(lucy) | [
"p0",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4409077479700749794970260
% SZS output start Proof for 4409077479700749794970260
1. ! [X0] : ((rich(X0) & creative(X0)) <=> (strong(X0) | creative(X0))) [input p0]
4. ! [X0] : ((brave(X0) | ~rich(X0)) => (strong(X0) & ~tall(X0))) [input p3]
9. ! [X0] : (~brave(X0) => ~rich(X0)) [input p8]... | 0 |
Everyone who is either tall or creative is old.
Everyone who is either kind or not quiet is either not wise or generous and vice versa.
Everyone who is both kind and not generous is not strong or rich and vice versa.
Everyone who is calm is both not curious and funny.
Everyone who is both not quiet and curious is both ... | Fred is not strong. | entailment | (![X]:((tall(X)<~>creative(X))=>old(X)))&
(![X]:((kind(X)<~>~quiet(X))<=>(~wise(X)<~>generous(X))))&
(![X]:((kind(X)&~generous(X))<=>(~strong(X)|rich(X))))&
(![X]:(calm(X)=>(~curious(X)&funny(X))))&
(![X]:((~quiet(X)&curious(X))=>(~happy(X)&~patient(X))))&
(![X]:((~brave(X)&generous(X))=>(~kind(X)&generous(X))))&
(![X]... | ~strong(fred) | [
"p3",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4203497025485288104695681
% SZS output start Proof for 4203497025485288104695681
4. ! [X0] : (calm(X0) => (funny(X0) & ~curious(X0))) [input p3]
8. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (curious(X0) <~> strong(X0))) [input p7]
13. ! [X0] : ((strong(X0) | happy(X0)) => (curious(X0) & ~hum... | 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 brave. | neutral | (((~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... | brave(susan) | [] | null | 0 |
If someone is old then someone is either curious or not patient. Everyone who is not calm or generous is not humble or not wise and vice versa. Everyone who is both rich and not curious is old or creative and vice versa. If someone is not old then fred is both old and patient. Everyone who is both not tall and not happ... | Fred is brave. | entailment | ((?[X]:(old(X)))=>(?[X]:((curious(X)<~>~patient(X)))))&
(![X]:((~calm(X)|generous(X))<=>(~humble(X)|~wise(X))))&
(![X]:((rich(X)&~curious(X))<=>(old(X)|creative(X))))&
((?[X]:(~old(X)))=>((old(fred)&patient(fred))))&
(![X]:((~tall(X)&~happy(X))=>(~tall(X)|strong(X))))&
(((wise(fred)<~>generous(fred)))<=>(?[X]:((old(X)<... | brave(fred) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 673296688214745942898568
% SZS output start Proof for 673296688214745942898568
3. ! [X0] : ((~curious(X0) & rich(X0)) <=> (creative(X0) | old(X0))) [input p2]
4. ? [X0] : ~old(X0) => (patient(fred) & old(fred)) [input p3]
8. ? [X0] : (~funny(X0) | ~strong(X0)) => (~rich(fred) | brave(fred... | 0 |
If someone is both humble and not rich then mary is both not happy and not tall.
Everyone who is both not patient and not wise is both brave and quiet.
Everyone who is tall is both quiet and rich.
Everyone who is both patient and not quiet is both not rich and curious.
Everyone who is either not calm or not humble is e... | Susan is curious. | neutral | ((?[X]:((humble(X)&~rich(X))))=>((~happy(mary)&~tall(mary))))&
(![X]:((~patient(X)&~wise(X))=>(brave(X)&quiet(X))))&
(![X]:(tall(X)=>(quiet(X)&rich(X))))&
(![X]:((patient(X)&~quiet(X))=>(~rich(X)&curious(X))))&
(![X]:((~calm(X)<~>~humble(X))=>(rich(X)<~>~curious(X))))&
((?[X]:((curious(X)<~>generous(X))))=>(?[X]:(~curi... | curious(susan) | [] | null | 0 |
Everyone who is both calm and funny is strong or not curious and vice versa.
If someone is not rich or calm then susan is curious or not curious.
If someone is either brave or quiet then lucy is either strong or tall and vice versa.
If someone is brave then paul is not happy or strong and vice versa.
If alice is genero... | Susan is strong. | neutral | (![X]:((calm(X)&funny(X))<=>(strong(X)|~curious(X))))&
((?[X]:((~rich(X)|calm(X))))=>((curious(susan)|~curious(susan))))&
((?[X]:((brave(X)<~>quiet(X))))<=>((strong(lucy)<~>tall(lucy))))&
((?[X]:(brave(X)))<=>((~happy(paul)|strong(paul))))&
(((generous(alice)|~kind(alice)))<=>(?[X]:((happy(X)|creative(X)))))&
(![X]:((f... | strong(susan) | [] | null | 0 |
Everyone who is not rich is both rich and not generous and vice versa. If susan is humble then lucy is either not curious or not old. If someone is both tall and not generous then susan is not funny. Everyone who is either strong or brave is happy or creative. Everyone who is both not generous and generous is not happy... | Fred is generous. | entailment | (![X]:(~rich(X)<=>(rich(X)&~generous(X))))&
((humble(susan))=>((~curious(lucy)<~>~old(lucy))))&
((?[X]:((tall(X)&~generous(X))))=>(~funny(susan)))&
(![X]:((strong(X)<~>brave(X))=>(happy(X)|creative(X))))&
(![X]:((~generous(X)&generous(X))<=>(~happy(X)|~patient(X))))&
(((happy(paul)<~>tall(paul)))=>(?[X]:((~happy(X)&cur... | generous(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4746903920327740433125844
% SZS output start Proof for 4746903920327740433125844
1. ! [X0] : (~rich(X0) <=> (~generous(X0) & rich(X0))) [input p0]
22. ~generous(fred) [input hypothesis]
34. ! [X0] : ((~rich(X0) | (generous(X0) | ~rich(X0))) & ((~generous(X0) & rich(X0)) | rich(X0))) [nnf ... | 0 |
If lucy is either rich or not rich then someone is both not funny and not brave and vice versa.
If alice is either calm or not creative then susan is humble or not happy.
If lucy is either kind or not funny then fred is not wise or not tall.
Everyone who is creative or not patient is either generous or brave.
If someon... | Alice is happy. | neutral | (((rich(lucy)<~>~rich(lucy)))<=>(?[X]:((~funny(X)&~brave(X)))))&
(((calm(alice)<~>~creative(alice)))=>((humble(susan)|~happy(susan))))&
(((kind(lucy)<~>~funny(lucy)))=>((~wise(fred)|~tall(fred))))&
(![X]:((creative(X)|~patient(X))=>(generous(X)<~>brave(X))))&
((?[X]:((~happy(X)|tall(X))))<=>(~kind(lucy)))&
(![X]:((calm... | happy(alice) | [] | null | 0 |
If someone is either not creative or wise then someone is curious and vice versa.
Everyone who is both kind and not kind is rich and vice versa.
If fred is both not quiet and not creative then someone is both not kind and not brave and vice versa.
Everyone who is not creative or strong is not quiet.
If alice is not qui... | Susan is not tall. | neutral | ((?[X]:((~creative(X)<~>wise(X))))<=>(?[X]:(curious(X))))&
(![X]:((kind(X)&~kind(X))<=>rich(X)))&
(((~quiet(fred)&~creative(fred)))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:((~creative(X)|strong(X))=>~quiet(X)))&
(((~quiet(alice)|~tall(alice)))<=>(humble(lucy)))&
(![X]:((~wise(X)<~>patient(X))=>(~rich(X)&kind(X))))&
(![... | ~tall(susan) | [] | null | 0 |
If alice is kind then someone is not creative.
Everyone who is either not patient or funny is brave or creative and vice versa.
Everyone who is patient is both wise and patient.
Everyone who is either happy or brave is both not generous and rich and vice versa.
If lucy is not tall then lucy is humble and vice versa.
Ev... | Paul is tall. | neutral | ((kind(alice))=>(?[X]:(~creative(X))))&
(![X]:((~patient(X)<~>funny(X))<=>(brave(X)|creative(X))))&
(![X]:(patient(X)=>(wise(X)&patient(X))))&
(![X]:((happy(X)<~>brave(X))<=>(~generous(X)&rich(X))))&
((~tall(lucy))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X)))&
((~strong(paul))=>(?[X]:(quiet(X)... | tall(paul) | [] | null | 0 |
If someone is both not tall and creative then someone is either not tall or quiet and vice versa.
If someone is either not humble or kind then someone is both calm and creative.
If someone is either not quiet or not calm then someone is either not quiet or old and vice versa.
If fred is not kind or patient then someone... | Lucy is kind. | neutral | ((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((~tall(X)<~>quiet(X)))))&
((?[X]:((~humble(X)<~>kind(X))))=>(?[X]:((calm(X)&creative(X)))))&
((?[X]:((~quiet(X)<~>~calm(X))))<=>(?[X]:((~quiet(X)<~>old(X)))))&
(((~kind(fred)|patient(fred)))<=>(?[X]:(curious(X))))&
((~rich(susan))<=>(?[X]:(~rich(X))))&
(![X]:(funny(X)<=>(~humbl... | kind(lucy) | [] | null | 0 |
If john is creative or not kind then john is wise or not patient and vice versa.
Everyone who is not curious is either not brave or tall and vice versa.
If someone is rich then alice is either not creative or not humble and vice versa.
Everyone who is not tall or not curious is either not strong or not calm.
Everyone w... | Paul is old. | neutral | (((creative(john)|~kind(john)))<=>((wise(john)|~patient(john))))&
(![X]:(~curious(X)<=>(~brave(X)<~>tall(X))))&
((?[X]:(rich(X)))<=>((~creative(alice)<~>~humble(alice))))&
(![X]:((~tall(X)|~curious(X))=>(~strong(X)<~>~calm(X))))&
(![X]:(~wise(X)=>generous(X)))&
(![X]:((~rich(X)&rich(X))<=>humble(X)))&
(![X]:((~curious(... | old(paul) | [] | null | 0 |
Everyone who is either not kind or not happy is not strong and vice versa. If someone is both brave and creative then someone is brave or wise and vice versa. Everyone who is funny is both funny and not creative and vice versa. Everyone who is both funny and creative is either calm or strong and vice versa. If mary is ... | Alice is not brave. | entailment | (![X]:((~kind(X)<~>~happy(X))<=>~strong(X)))&
((?[X]:((brave(X)&creative(X))))<=>(?[X]:((brave(X)|wise(X)))))&
(![X]:(funny(X)<=>(funny(X)&~creative(X))))&
(![X]:((funny(X)&creative(X))<=>(calm(X)<~>strong(X))))&
((~creative(mary))=>((~calm(john)&humble(john))))&
((calm(fred))=>(?[X]:((old(X)<~>kind(X)))))&
(((funny(pa... | ~brave(alice) | [
"p1",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 897625903930041003590050
% SZS output start Proof for 897625903930041003590050
2. ? [X0] : (creative(X0) & brave(X0)) <=> ? [X0] : (wise(X0) | brave(X0)) [input p1]
3. ! [X0] : (funny(X0) <=> (~creative(X0) & funny(X0))) [input p2]
10. ! [X0] : ((~humble(X0) | humble(X0)) => funny(X0)) [i... | 0 |
Everyone who is old or not rich is not quiet or calm and vice versa. If susan is both humble and rich then someone is both quiet and not tall. Everyone who is either quiet or kind is not patient or curious and vice versa. If someone is both curious and not creative then fred is not happy. Everyone who is either happy o... | Susan is not rich. | contradiction | (![X]:((old(X)|~rich(X))<=>(~quiet(X)|calm(X))))&
(((humble(susan)&rich(susan)))=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((quiet(X)<~>kind(X))<=>(~patient(X)|curious(X))))&
((?[X]:((curious(X)&~creative(X))))=>(~happy(fred)))&
(![X]:((happy(X)<~>~creative(X))<=>(~curious(X)<~>calm(X))))&
(![X]:((curious(X)<~>wise(X))<=>c... | ~rich(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2571112937288485870453721
% SZS output start Proof for 2571112937288485870453721
22. rich(susan) & wise(susan) [input p21]
24. ~rich(susan) [input hypothesis]
151. rich(susan) [cnf transformation 22]
153. ~rich(susan) [cnf transformation 24]
160. 2 <=> rich(susan) [avatar definition]
343.... | 0 |
If someone is both humble and not old then someone is not creative or not curious and vice versa. If someone is old or rich then john is either creative or curious. If susan is both not curious and not calm then someone is tall or not quiet and vice versa. Everyone who is either not patient or not rich is not rich or n... | Fred is brave. | neutral | ((?[X]:((humble(X)&~old(X))))<=>(?[X]:((~creative(X)|~curious(X)))))&
((?[X]:((old(X)|rich(X))))=>((creative(john)<~>curious(john))))&
(((~curious(susan)&~calm(susan)))<=>(?[X]:((tall(X)|~quiet(X)))))&
(![X]:((~patient(X)<~>~rich(X))<=>(~rich(X)|~strong(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(brave(X)&generous(X))))&... | brave(fred) | [] | null | 0 |
Everyone who is either not brave or not happy is not funny.
Everyone who is not quiet or not curious is not kind or not humble.
Everyone who is not humble or brave is both rich and patient and vice versa.
Everyone who is not wise or not calm is either brave or not rich and vice versa.
If someone is either kind or tall ... | Alice is not patient. | neutral | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((~quiet(X)|~curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((~humble(X)|brave(X))<=>(rich(X)&patient(X))))&
(![X]:((~wise(X)|~calm(X))<=>(brave(X)<~>~rich(X))))&
((?[X]:((kind(X)<~>tall(X))))<=>((humble(paul)|~humble(paul))))&
(![X]:((~brave(X)<~>~tall(X))=>(~brave(X)|~t... | ~patient(alice) | [] | null | 0 |
If mary is both creative and not wise then someone is both old and tall and vice versa.
If susan is both not tall and not happy then paul is generous and vice versa.
Everyone who is not tall is either strong or patient.
Everyone who is not happy or strong is both generous and calm and vice versa.
Everyone who is genero... | Lucy is calm. | neutral | (((creative(mary)&~wise(mary)))<=>(?[X]:((old(X)&tall(X)))))&
(((~tall(susan)&~happy(susan)))<=>(generous(paul)))&
(![X]:(~tall(X)=>(strong(X)<~>patient(X))))&
(![X]:((~happy(X)|strong(X))<=>(generous(X)&calm(X))))&
(![X]:((generous(X)|calm(X))<=>(~quiet(X)<~>~funny(X))))&
((?[X]:((~calm(X)<~>~wise(X))))=>(?[X]:((~kind... | calm(lucy) | [] | null | 0 |
Everyone who is not tall is not calm and vice versa.
If paul is both not humble and not patient then someone is strong or not quiet and vice versa.
Everyone who is either rich or not funny is both not calm and calm and vice versa.
If someone is both not strong and tall then someone is old.
Everyone who is quiet or wise... | Lucy is not humble. | neutral | (![X]:(~tall(X)<=>~calm(X)))&
(((~humble(paul)&~patient(paul)))<=>(?[X]:((strong(X)|~quiet(X)))))&
(![X]:((rich(X)<~>~funny(X))<=>(~calm(X)&calm(X))))&
((?[X]:((~strong(X)&tall(X))))=>(?[X]:(old(X))))&
(![X]:((quiet(X)|wise(X))=>(patient(X)|~curious(X))))&
(![X]:((~happy(X)|~calm(X))<=>(generous(X)|creative(X))))&
(![X... | ~humble(lucy) | [] | null | 0 |
If fred is either strong or not kind then someone is both funny and not happy.
If paul is not old then susan is not patient or rich and vice versa.
Everyone who is not happy is not happy or humble and vice versa.
If mary is both kind and funny then someone is funny or not creative and vice versa.
Everyone who is humble... | Fred is humble. | neutral | (((strong(fred)<~>~kind(fred)))=>(?[X]:((funny(X)&~happy(X)))))&
((~old(paul))<=>((~patient(susan)|rich(susan))))&
(![X]:(~happy(X)<=>(~happy(X)|humble(X))))&
(((kind(mary)&funny(mary)))<=>(?[X]:((funny(X)|~creative(X)))))&
(![X]:((humble(X)|~rich(X))<=>~creative(X)))&
(![X]:((~rich(X)<~>strong(X))=>(~brave(X)<~>~tall(... | humble(fred) | [] | null | 0 |
If john is either not kind or not rich then susan is strong and vice versa. Everyone who is either not brave or not curious is both quiet and generous. Everyone who is generous or happy is either not funny or strong and vice versa. If susan is both funny and not curious then fred is either not quiet or not patient and ... | Susan is not generous. | contradiction | (((~kind(john)<~>~rich(john)))<=>(strong(susan)))&
(![X]:((~brave(X)<~>~curious(X))=>(quiet(X)&generous(X))))&
(![X]:((generous(X)|happy(X))<=>(~funny(X)<~>strong(X))))&
(((funny(susan)&~curious(susan)))<=>((~quiet(fred)<~>~patient(fred))))&
(![X]:((~brave(X)&~humble(X))=>(~creative(X)|humble(X))))&
((?[X]:((~patient(X... | ~generous(susan) | [
"p7",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1113281906017978968683895
% SZS output start Proof for 1113281906017978968683895
8. ? [X0] : (happy(X0) <~> funny(X0)) => (~humble(susan) & generous(susan)) [input p7]
11. ! [X0] : (calm(X0) <=> (~calm(X0) <~> ~wise(X0))) [input p10]
12. ! [X0] : ((wise(X0) <~> ~wise(X0)) <=> (~funny(X0) ... | 0 |
Everyone who is creative or tall is humble or not quiet.
Everyone who is not old is both calm and not strong.
Everyone who is calm or funny is either brave or not old.
If susan is both not rich and wise then alice is not curious.
Everyone who is not wise or curious is not quiet or quiet.
Everyone who is either brave or... | Lucy is kind. | neutral | (![X]:((creative(X)|tall(X))=>(humble(X)|~quiet(X))))&
(![X]:(~old(X)=>(calm(X)&~strong(X))))&
(![X]:((calm(X)|funny(X))=>(brave(X)<~>~old(X))))&
(((~rich(susan)&wise(susan)))=>(~curious(alice)))&
(![X]:((~wise(X)|curious(X))=>(~quiet(X)|quiet(X))))&
(![X]:((brave(X)<~>~quiet(X))=>(~patient(X)|patient(X))))&
(![X]:((ol... | kind(lucy) | [] | null | 0 |
Everyone who is either not calm or not quiet is old.
If paul is brave or generous then lucy is either not funny or wise.
If paul is both funny and tall then paul is either brave or happy and vice versa.
Everyone who is not funny or creative is not rich or not brave.
Everyone who is either not kind or calm is both not c... | Mary is happy. | neutral | (![X]:((~calm(X)<~>~quiet(X))=>old(X)))&
(((brave(paul)|generous(paul)))=>((~funny(lucy)<~>wise(lucy))))&
(((funny(paul)&tall(paul)))<=>((brave(paul)<~>happy(paul))))&
(![X]:((~funny(X)|creative(X))=>(~rich(X)|~brave(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(~creative(X)&old(X))))&
((calm(lucy))<=>((~kind(paul)|~wise(paul)... | happy(mary) | [] | null | 0 |
Everyone who is either calm or funny is calm or wise. Everyone who is both not wise and not tall is not generous. Everyone who is not generous or tall is both not tall and not humble. If someone is either not wise or not kind then someone is not old. If someone is not kind then someone is both not strong and kind and v... | Lucy is not rich. | contradiction | (![X]:((calm(X)<~>funny(X))=>(calm(X)|wise(X))))&
(![X]:((~wise(X)&~tall(X))=>~generous(X)))&
(![X]:((~generous(X)|tall(X))=>(~tall(X)&~humble(X))))&
((?[X]:((~wise(X)<~>~kind(X))))=>(?[X]:(~old(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:((~strong(X)&rich(X))<=>(~tall(X)<~>~curious(X))))&
((?[X]:... | ~rich(lucy) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7901237280781730197837037
% SZS output start Proof for 7901237280781730197837037
3. ! [X0] : ((tall(X0) | ~generous(X0)) => (~humble(X0) & ~tall(X0))) [input p2]
16. ? [X0] : ~rich(X0) => tall(mary) [input p15]
23. ~rich(lucy) [input hypothesis]
32. ! [X0] : ((~humble(X0) & ~tall(X0)) | (... | 0 |
If mary is both strong and patient then someone is either not rich or not brave.
Everyone who is not brave is old.
If fred is not happy or happy then lucy is both not creative and not patient and vice versa.
Everyone who is both happy and patient is creative or brave and vice versa.
If someone is patient then lucy is e... | Lucy is patient. | contradiction | (((strong(mary)&patient(mary)))=>(?[X]:((~rich(X)<~>~brave(X)))))&
(![X]:(~brave(X)=>old(X)))&
(((~happy(fred)|happy(fred)))<=>((~creative(lucy)&~patient(lucy))))&
(![X]:((happy(X)&patient(X))<=>(creative(X)|brave(X))))&
((?[X]:(patient(X)))=>((funny(lucy)<~>~curious(lucy))))&
(![X]:(humble(X)<=>(kind(X)|funny(X))))&
(... | patient(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 698015855545368734703667
% SZS output start Proof for 698015855545368734703667
3. (happy(fred) | ~happy(fred)) <=> (~patient(lucy) & ~creative(lucy)) [input p2]
25. patient(lucy) [input hypothesis]
39. ((happy(fred) | ~happy(fred)) | (patient(lucy) | creative(lucy))) & ((~patient(lucy) & ... | 0 |
Everyone who is both not happy and tall is either not kind or not curious and vice versa. If susan is quiet or rich then paul is either humble or not strong. If someone is patient or generous then alice is both generous and tall. If someone is either not curious or funny then someone is either not humble or not rich an... | Lucy is not curious. | entailment | (![X]:((~happy(X)&tall(X))<=>(~kind(X)<~>~curious(X))))&
(((quiet(susan)|rich(susan)))=>((humble(paul)<~>~strong(paul))))&
((?[X]:((patient(X)|generous(X))))=>((generous(alice)&tall(alice))))&
((?[X]:((~curious(X)<~>funny(X))))<=>(?[X]:((~humble(X)<~>~rich(X)))))&
(![X]:(patient(X)<=>(creative(X)&~humble(X))))&
((?[X]:... | ~curious(lucy) | [
"p3",
"p4",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2637806846631120659343285
% SZS output start Proof for 2637806846631120659343285
4. ? [X0] : (~curious(X0) <~> funny(X0)) <=> ? [X0] : (~humble(X0) <~> ~rich(X0)) [input p3]
5. ! [X0] : (patient(X0) <=> (~humble(X0) & creative(X0))) [input p4]
7. ! [X0] : ((~wise(X0) | funny(X0)) <=> wise... | 0 |
Everyone who is not tall is either funny or not patient and vice versa.
If mary is not patient or wise then fred is not humble.
If someone is both not funny and not tall then someone is both not strong and brave and vice versa.
If someone is tall or not curious then someone is both not kind and not humble and vice vers... | Lucy is not brave. | entailment | (![X]:(~tall(X)<=>(funny(X)<~>~patient(X))))&
(((~patient(mary)|wise(mary)))=>(~humble(fred)))&
((?[X]:((~funny(X)&~tall(X))))<=>(?[X]:((~strong(X)&brave(X)))))&
((?[X]:((tall(X)|~curious(X))))<=>(?[X]:((~kind(X)&~humble(X)))))&
(![X]:((~brave(X)<~>~quiet(X))<=>(funny(X)&~curious(X))))&
(![X]:((~curious(X)&wise(X))<=>(... | ~brave(lucy) | [
"p0",
"p2",
"p5",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6484016993941289589625359
% SZS output start Proof for 6484016993941289589625359
1. ! [X0] : (~tall(X0) <=> (funny(X0) <~> ~patient(X0))) [input p0]
3. ? [X0] : (~tall(X0) & ~funny(X0)) <=> ? [X0] : (brave(X0) & ~strong(X0)) [input p2]
6. ! [X0] : ((wise(X0) & ~curious(X0)) <=> (curious(X... | 0 |
Everyone who is humble or not creative is not calm.
Everyone who is happy or not rich is either not generous or creative.
Everyone who is both not generous and wise is curious or not happy and vice versa.
Everyone who is not tall is either strong or not tall.
Everyone who is both not curious and brave is not kind or no... | Fred is curious. | entailment | (![X]:((humble(X)|~creative(X))=>~calm(X)))&
(![X]:((happy(X)|~rich(X))=>(~generous(X)<~>creative(X))))&
(![X]:((~generous(X)&wise(X))<=>(curious(X)|~happy(X))))&
(![X]:(~tall(X)=>(strong(X)<~>~tall(X))))&
(![X]:((~curious(X)&brave(X))<=>(~kind(X)|~curious(X))))&
(![X]:(kind(X)=>old(X)))&
((quiet(john))<=>(?[X]:((~wise... | curious(fred) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4615779818146232370491707
% SZS output start Proof for 4615779818146232370491707
1. ! [X0] : ((~creative(X0) | humble(X0)) => ~calm(X0)) [input p0]
2. ! [X0] : ((~rich(X0) | happy(X0)) => (~generous(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (~happy(X0) ... | 0 |
If fred is old then john is not rich. If someone is humble then someone is both tall and not humble and vice versa. Everyone who is either kind or not calm is not brave and vice versa. If someone is tall then someone is wise and vice versa. Everyone who is not curious or curious is either not funny or brave. Everyone w... | Alice is not funny. | contradiction | ((old(fred))=>(~rich(john)))&
((?[X]:(humble(X)))<=>(?[X]:((tall(X)&~humble(X)))))&
(![X]:((kind(X)<~>~calm(X))<=>~brave(X)))&
((?[X]:(tall(X)))<=>(?[X]:(wise(X))))&
(![X]:((~curious(X)|curious(X))=>(~funny(X)<~>brave(X))))&
(![X]:((brave(X)&kind(X))<=>(~strong(X)|happy(X))))&
(((~happy(john)|patient(john)))=>(?[X]:(ki... | ~funny(alice) | [
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5408373811902567921642480
% SZS output start Proof for 5408373811902567921642480
5. ! [X0] : ((curious(X0) | ~curious(X0)) => (~funny(X0) <~> brave(X0))) [input p4]
6. ! [X0] : ((kind(X0) & brave(X0)) <=> (happy(X0) | ~strong(X0))) [input p5]
8. ! [X0] : (strong(X0) <=> (funny(X0) & ~tall... | 0 |
Everyone who is calm is curious or not humble. Everyone who is either not strong or not quiet is both calm and not generous and vice versa. If someone is either not funny or patient then someone is not patient or generous. If lucy is either quiet or kind then someone is generous or not old and vice versa. If mary is bo... | Mary is strong. | neutral | (![X]:(calm(X)=>(curious(X)|~humble(X))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(calm(X)&~generous(X))))&
((?[X]:((~funny(X)<~>patient(X))))=>(?[X]:((~patient(X)|generous(X)))))&
(((quiet(lucy)<~>kind(lucy)))<=>(?[X]:((generous(X)|~old(X)))))&
(((~generous(mary)&humble(mary)))<=>(?[X]:((~funny(X)&~rich(X)))))&
(![X]:(~bra... | strong(mary) | [] | null | 0 |
Everyone who is patient is both tall and not calm.
If lucy is both not calm and not curious then alice is not old or humble and vice versa.
If fred is either not humble or calm then someone is either not funny or not generous.
Everyone who is quiet or not strong is both not rich and calm.
If fred is both not creative a... | Alice is patient. | contradiction | (![X]:(patient(X)=>(tall(X)&~calm(X))))&
(((~calm(lucy)&~curious(lucy)))<=>((~old(alice)|humble(alice))))&
(((~humble(fred)<~>calm(fred)))=>(?[X]:((~funny(X)<~>~generous(X)))))&
(![X]:((quiet(X)|~strong(X))=>(~rich(X)&calm(X))))&
(((~creative(fred)&generous(fred)))<=>(?[X]:((~rich(X)<~>~generous(X)))))&
(((old(lucy)&cr... | patient(alice) | [
"p0",
"p3",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 97872702627685737486728
% SZS output start Proof for 97872702627685737486728
1. ! [X0] : (patient(X0) => (~calm(X0) & tall(X0))) [input p0]
4. ! [X0] : ((~strong(X0) | quiet(X0)) => (calm(X0) & ~rich(X0))) [input p3]
7. ! [X0] : (~brave(X0) <=> ~creative(X0)) [input p6]
11. ! [X0] : (~cre... | 0 |
Everyone who is not calm is strong or not humble. Everyone who is not quiet or not happy is either not brave or not curious. Everyone who is not humble or kind is both tall and brave and vice versa. Everyone who is not old or not generous is either strong or brave. Everyone who is brave or not curious is both wise and ... | Mary is not calm. | neutral | (![X]:(~calm(X)=>(strong(X)|~humble(X))))&
(![X]:((~quiet(X)|~happy(X))=>(~brave(X)<~>~curious(X))))&
(![X]:((~humble(X)|kind(X))<=>(tall(X)&brave(X))))&
(![X]:((~old(X)|~generous(X))=>(strong(X)<~>brave(X))))&
(![X]:((brave(X)|~curious(X))=>(wise(X)&~humble(X))))&
(![X]:((~humble(X)&~quiet(X))=>(generous(X)|~wise(X)))... | ~calm(mary) | [] | null | 0 |
If someone is both not generous and not old then mary is both not funny and wise. Everyone who is not humble is either kind or not funny. Everyone who is both not funny and generous is not funny and vice versa. Everyone who is not quiet or funny is happy. If someone is either humble or not funny then someone is not fun... | Alice is kind. | entailment | ((?[X]:((~generous(X)&~old(X))))=>((~funny(mary)&wise(mary))))&
(![X]:(~humble(X)=>(kind(X)<~>~funny(X))))&
(![X]:((~funny(X)&generous(X))<=>~funny(X)))&
(![X]:((~quiet(X)|funny(X))=>happy(X)))&
((?[X]:((humble(X)<~>~funny(X))))=>(?[X]:(~funny(X))))&
((?[X]:((generous(X)<~>happy(X))))<=>(?[X]:((~funny(X)<~>happy(X)))))... | kind(alice) | [
"p1",
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5107761771217647235532287
% SZS output start Proof for 5107761771217647235532287
2. ! [X0] : (~humble(X0) => (kind(X0) <~> ~funny(X0))) [input p1]
3. ! [X0] : ((generous(X0) & ~funny(X0)) <=> ~funny(X0)) [input p2]
5. ? [X0] : (humble(X0) <~> ~funny(X0)) => ? [X0] : ~funny(X0) [input p4]
... | 0 |
Everyone who is not old or wise is not tall or happy and vice versa.
Everyone who is both not happy and patient is both generous and not happy.
Everyone who is either not wise or humble is both not kind and not brave.
Everyone who is either brave or old is both not kind and strong and vice versa.
Everyone who is funny ... | Fred is rich. | neutral | (![X]:((~old(X)|wise(X))<=>(~tall(X)|happy(X))))&
(![X]:((~happy(X)&patient(X))=>(generous(X)&~happy(X))))&
(![X]:((~wise(X)<~>humble(X))=>(~kind(X)&~brave(X))))&
(![X]:((brave(X)<~>old(X))<=>(~kind(X)&strong(X))))&
(![X]:(funny(X)=>(~patient(X)|~old(X))))&
(![X]:(quiet(X)<=>curious(X)))&
(![X]:((brave(X)&funny(X))<=>(... | rich(fred) | [] | null | 0 |
Everyone who is patient is both not rich and not patient.
If fred is either not humble or rich then someone is not quiet or not humble.
Everyone who is generous is curious or not brave and vice versa.
Everyone who is not humble is either quiet or not funny and vice versa.
Everyone who is both not happy and wise is eith... | John is funny. | entailment | (![X]:(patient(X)=>(~rich(X)&~patient(X))))&
(((~humble(fred)<~>rich(fred)))=>(?[X]:((~quiet(X)|~humble(X)))))&
(![X]:(generous(X)<=>(curious(X)|~brave(X))))&
(![X]:(~humble(X)<=>(quiet(X)<~>~funny(X))))&
(![X]:((~happy(X)&wise(X))=>(brave(X)<~>~old(X))))&
(![X]:(patient(X)<=>(~strong(X)|~calm(X))))&
(![X]:((tall(X)|cr... | funny(john) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2780790415386858147905705
% SZS output start Proof for 2780790415386858147905705
1. ! [X0] : (patient(X0) => (~patient(X0) & ~rich(X0))) [input p0]
3. ! [X0] : (generous(X0) <=> (~brave(X0) | curious(X0))) [input p2]
4. ! [X0] : (~humble(X0) <=> (quiet(X0) <~> ~funny(X0))) [input p3]
6. !... | 0 |
If someone is not old then mary is not strong. If alice is both not funny and kind then alice is rich. Everyone who is either old or not generous is both quiet and not curious and vice versa. Everyone who is either not kind or not rich is either not tall or happy. Everyone who is not creative or not patient is either n... | Lucy is humble. | contradiction | ((?[X]:(~old(X)))=>(~strong(mary)))&
(((~funny(alice)&kind(alice)))=>(rich(alice)))&
(![X]:((old(X)<~>~generous(X))<=>(quiet(X)&~curious(X))))&
(![X]:((~kind(X)<~>~rich(X))=>(~tall(X)<~>happy(X))))&
(![X]:((~creative(X)|~patient(X))<=>(~happy(X)<~>brave(X))))&
(((~quiet(alice)|~calm(alice)))=>(?[X]:((~rich(X)&strong(X)... | humble(lucy) | [
"p6",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 262937615755846809284644
% SZS output start Proof for 262937615755846809284644
7. ! [X0] : (humble(X0) => (~humble(X0) <~> ~old(X0))) [input p6]
15. (~quiet(lucy) & old(lucy)) <=> (~funny(fred) | ~wise(fred)) [input p14]
18. ~wise(fred) & ~creative(fred) [input p17]
24. humble(lucy) [inpu... | 0 |
If susan is both funny and not funny then john is not funny or not patient. Everyone who is not brave is curious and vice versa. Everyone who is not patient is both curious and rich and vice versa. If paul is not calm or not old then john is not rich and vice versa. If someone is both kind and not funny then someone is... | Fred is curious. | contradiction | (((funny(susan)&~funny(susan)))=>((~funny(john)|~patient(john))))&
(![X]:(~brave(X)<=>curious(X)))&
(![X]:(~patient(X)<=>(curious(X)&rich(X))))&
(((~calm(paul)|~old(paul)))<=>(~rich(john)))&
((?[X]:((kind(X)&~funny(X))))<=>(?[X]:((~wise(X)<~>~creative(X)))))&
(((curious(lucy)|~patient(lucy)))<=>(~generous(lucy)))&
(![X... | curious(fred) | [
"p1",
"p2",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4815597813314242469808613
% SZS output start Proof for 4815597813314242469808613
2. ! [X0] : (~brave(X0) <=> curious(X0)) [input p1]
3. ! [X0] : (~patient(X0) <=> (rich(X0) & curious(X0))) [input p2]
16. ! [X0] : ((brave(X0) | ~curious(X0)) <=> (kind(X0) | ~patient(X0))) [input p15]
22. r... | 0 |
If someone is not happy then fred is strong. If susan is both calm and happy then mary is both old and patient. Everyone who is not generous or calm is not kind. Everyone who is not creative is patient or not curious and vice versa. If lucy is not curious or happy then someone is generous. Everyone who is either not st... | Susan is not humble. | entailment | ((?[X]:(~happy(X)))=>(strong(fred)))&
(((calm(susan)&happy(susan)))=>((old(mary)&patient(mary))))&
(![X]:((~generous(X)|calm(X))=>~kind(X)))&
(![X]:(~creative(X)<=>(patient(X)|~curious(X))))&
(((~curious(lucy)|happy(lucy)))=>(?[X]:(generous(X))))&
(![X]:((~strong(X)<~>curious(X))=>~strong(X)))&
((?[X]:((~generous(X)<~>... | ~humble(susan) | [
"p2",
"p5",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3930531815660882419931376
% SZS output start Proof for 3930531815660882419931376
3. ! [X0] : ((calm(X0) | ~generous(X0)) => ~kind(X0)) [input p2]
6. ! [X0] : ((~strong(X0) <~> curious(X0)) => ~strong(X0)) [input p5]
11. ! [X0] : ((~kind(X0) | wise(X0)) <=> (~wise(X0) & ~funny(X0))) [input... | 0 |
If someone is both not kind and not happy then someone is not old and vice versa.
If someone is brave or humble then someone is either not humble or curious.
Everyone who is either tall or humble is either funny or generous.
Everyone who is both generous and not creative is rich and vice versa.
Everyone who is not happ... | Alice is not creative. | contradiction | ((?[X]:((~kind(X)&~happy(X))))<=>(?[X]:(~old(X))))&
((?[X]:((brave(X)|humble(X))))=>(?[X]:((~humble(X)<~>curious(X)))))&
(![X]:((tall(X)<~>humble(X))=>(funny(X)<~>generous(X))))&
(![X]:((generous(X)&~creative(X))<=>rich(X)))&
(![X]:(~happy(X)=>(rich(X)<~>wise(X))))&
(![X]:((~rich(X)&~old(X))=>(generous(X)&~patient(X)))... | ~creative(alice) | [
"p8",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 177756394948518311637147
% SZS output start Proof for 177756394948518311637147
9. ! [X0] : (~patient(X0) <=> ~curious(X0)) [input p8]
11. ! [X0] : (happy(X0) => patient(X0)) [input p10]
13. ! [X0] : ((~creative(X0) <~> ~strong(X0)) => (~curious(X0) | ~patient(X0))) [input p12]
14. ? [X0] ... | 0 |
Everyone who is not happy is strong or not funny and vice versa.
Everyone who is both not old and not patient is rich.
Everyone who is both not strong and calm is not calm and vice versa.
If susan is strong then someone is old.
If someone is both not rich and strong then someone is either brave or not generous.
Everyon... | Susan is old. | neutral | (![X]:(~happy(X)<=>(strong(X)|~funny(X))))&
(![X]:((~old(X)&~patient(X))=>rich(X)))&
(![X]:((~strong(X)&calm(X))<=>~calm(X)))&
((strong(susan))=>(?[X]:(old(X))))&
((?[X]:((~rich(X)&strong(X))))=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((~happy(X)&~creative(X))=>~humble(X)))&
((?[X]:((kind(X)|humble(X))))=>((~quiet(p... | old(susan) | [] | null | 0 |
Everyone who is creative is not funny or not quiet and vice versa.
If paul is not patient then someone is both humble and patient.
Everyone who is either not wise or not creative is either not funny or not tall.
If someone is either not tall or not humble then someone is either not kind or funny.
If someone is happy or... | Mary is tall. | entailment | (![X]:(creative(X)<=>(~funny(X)|~quiet(X))))&
((~patient(paul))=>(?[X]:((humble(X)&patient(X)))))&
(![X]:((~wise(X)<~>~creative(X))=>(~funny(X)<~>~tall(X))))&
((?[X]:((~tall(X)<~>~humble(X))))=>(?[X]:((~kind(X)<~>funny(X)))))&
((?[X]:((happy(X)|brave(X))))<=>(?[X]:((old(X)|funny(X)))))&
(![X]:(curious(X)=>(~brave(X)|st... | tall(mary) | [
"p0",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3210328555205495649368702
% SZS output start Proof for 3210328555205495649368702
1. ! [X0] : (creative(X0) <=> (~quiet(X0) | ~funny(X0))) [input p0]
7. ? [X0] : (funny(X0) | ~wise(X0)) <=> (tall(mary) & old(mary)) [input p6]
19. ? [X0] : (~old(X0) & ~creative(X0)) [input p18]
22. ~tall(ma... | 0 |
If someone is funny then paul is strong or not strong.
If someone is not curious then susan is strong or not quiet and vice versa.
If someone is not funny or not strong then someone is both old and patient.
Everyone who is either not humble or generous is not quiet.
Everyone who is generous is either not kind or creati... | Susan is creative. | entailment | ((?[X]:(funny(X)))=>((strong(paul)|~strong(paul))))&
((?[X]:(~curious(X)))<=>((strong(susan)|~quiet(susan))))&
((?[X]:((~funny(X)|~strong(X))))=>(?[X]:((old(X)&patient(X)))))&
(![X]:((~humble(X)<~>generous(X))=>~quiet(X)))&
(![X]:(generous(X)<=>(~kind(X)<~>creative(X))))&
(((~wise(john)&~calm(john)))=>(?[X]:((humble(X)... | creative(susan) | [
"p4",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5562604732446243426773103
% SZS output start Proof for 5562604732446243426773103
5. ! [X0] : (generous(X0) <=> (~kind(X0) <~> creative(X0))) [input p4]
10. ! [X0] : ((~kind(X0) <~> curious(X0)) <=> generous(X0)) [input p9]
24. curious(susan) [input p23]
25. ~creative(susan) [input hypothe... | 0 |
Everyone who is not old or humble is either rich or curious.
Everyone who is old or wise is either brave or not curious and vice versa.
Everyone who is either not quiet or not humble is either funny or not creative and vice versa.
If someone is either humble or not old then lucy is both brave and generous and vice vers... | Susan is not humble. | entailment | (![X]:((~old(X)|humble(X))=>(rich(X)<~>curious(X))))&
(![X]:((old(X)|wise(X))<=>(brave(X)<~>~curious(X))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(funny(X)<~>~creative(X))))&
((?[X]:((humble(X)<~>~old(X))))<=>((brave(lucy)&generous(lucy))))&
(![X]:((~strong(X)&quiet(X))=>~patient(X)))&
(![X]:((~old(X)<~>~humble(X))<=>(~gen... | ~humble(susan) | [
"p9",
"p11",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7630884222134515141957374
% SZS output start Proof for 7630884222134515141957374
10. ! [X0] : ((~calm(X0) & creative(X0)) <=> (old(X0) <~> ~old(X0))) [input p9]
12. ? [X0] : (calm(X0) | ~tall(X0)) => (strong(susan) & ~quiet(susan)) [input p11]
13. ! [X0] : ((creative(X0) <~> ~humble(X0)) ... | 0 |
Everyone who is not humble is both strong and not strong and vice versa. If someone is humble then fred is either not old or not patient and vice versa. If lucy is curious then someone is brave or happy and vice versa. If someone is generous or not kind then fred is either happy or not curious. Everyone who is tall or ... | Lucy is not calm. | entailment | (![X]:(~humble(X)<=>(strong(X)&~strong(X))))&
((?[X]:(humble(X)))<=>((~old(fred)<~>~patient(fred))))&
((curious(lucy))<=>(?[X]:((brave(X)|happy(X)))))&
((?[X]:((generous(X)|~kind(X))))=>((happy(fred)<~>~curious(fred))))&
(![X]:((tall(X)|~tall(X))=>(wise(X)<~>~old(X))))&
(![X]:(happy(X)=>~patient(X)))&
(![X]:((~tall(X)&... | ~calm(lucy) | [
"p5",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7953466286552895228435296
% SZS output start Proof for 7953466286552895228435296
6. ! [X0] : (happy(X0) => ~patient(X0)) [input p5]
8. ! [X0] : (~happy(X0) => ~curious(X0)) [input p7]
13. ! [X0] : ((curious(X0) | ~patient(X0)) <=> (patient(X0) | ~calm(X0))) [input p12]
19. curious(lucy) &... | 0 |
If someone is both funny and not kind then someone is either old or strong and vice versa. Everyone who is both curious and not wise is not happy or calm and vice versa. If john is either happy or not strong then paul is both not curious and creative. Everyone who is not rich or tall is either tall or not old and vice ... | Susan is brave. | neutral | ((?[X]:((funny(X)&~kind(X))))<=>(?[X]:((old(X)<~>strong(X)))))&
(![X]:((curious(X)&~wise(X))<=>(~happy(X)|calm(X))))&
(((happy(john)<~>~strong(john)))=>((~curious(paul)&creative(paul))))&
(![X]:((~rich(X)|tall(X))<=>(tall(X)<~>~old(X))))&
(![X]:((~kind(X)&~rich(X))<=>funny(X)))&
(![X]:(happy(X)<=>(~strong(X)|tall(X))))... | brave(susan) | [] | null | 0 |
Everyone who is not calm or calm is both calm and not old and vice versa. If someone is both brave and not quiet then alice is not generous or patient and vice versa. Everyone who is both strong and rich is both happy and not kind. If someone is both kind and quiet then john is happy or not funny. Everyone who is eithe... | Mary is not kind. | entailment | (![X]:((~calm(X)|calm(X))<=>(calm(X)&~old(X))))&
((?[X]:((brave(X)&~quiet(X))))<=>((~generous(alice)|patient(alice))))&
(![X]:((strong(X)&rich(X))=>(happy(X)&~kind(X))))&
((?[X]:((kind(X)&quiet(X))))=>((happy(john)|~funny(john))))&
(![X]:((humble(X)<~>~strong(X))=>(~happy(X)<~>happy(X))))&
(![X]:((brave(X)|curious(X))=... | ~kind(mary) | [
"p0",
"p5",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3537614265400373665535784
% SZS output start Proof for 3537614265400373665535784
1. ! [X0] : ((calm(X0) | ~calm(X0)) <=> (~old(X0) & calm(X0))) [input p0]
6. ! [X0] : ((curious(X0) | brave(X0)) => wise(X0)) [input p5]
9. ! [X0] : ((wise(X0) | rich(X0)) <=> quiet(X0)) [input p8]
11. ! [X0]... | 0 |
Everyone who is both not strong and kind is either not rich or patient.
Everyone who is brave or not happy is tall or generous and vice versa.
Everyone who is not tall or humble is either wise or curious.
If john is rich then lucy is not generous.
Everyone who is not generous or kind is either not humble or creative an... | Paul is not creative. | entailment | (![X]:((~strong(X)&kind(X))=>(~rich(X)<~>patient(X))))&
(![X]:((brave(X)|~happy(X))<=>(tall(X)|generous(X))))&
(![X]:((~tall(X)|humble(X))=>(wise(X)<~>curious(X))))&
((rich(john))=>(~generous(lucy)))&
(![X]:((~generous(X)|kind(X))<=>(~humble(X)<~>creative(X))))&
(((~tall(paul)<~>creative(paul)))<=>(?[X]:((generous(X)<~... | ~creative(paul) | [
"p1",
"p5",
"p11",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3655196890534598847903912
% SZS output start Proof for 3655196890534598847903912
2. ! [X0] : ((~happy(X0) | brave(X0)) <=> (generous(X0) | tall(X0))) [input p1]
6. (~tall(paul) <~> creative(paul)) <=> ? [X0] : (generous(X0) <~> ~brave(X0)) [input p5]
12. ! [X0] : ((~creative(X0) <~> ~brav... | 0 |
If someone is not strong or old then someone is both calm and not quiet. If someone is either not patient or not rich then mary is either strong or not calm. Everyone who is both not old and not quiet is not creative or not calm and vice versa. Everyone who is both not generous and not curious is both not humble and cr... | Alice is strong. | entailment | ((?[X]:((~strong(X)|old(X))))=>(?[X]:((calm(X)&~quiet(X)))))&
((?[X]:((~patient(X)<~>~rich(X))))=>((strong(mary)<~>~calm(mary))))&
(![X]:((~old(X)&~quiet(X))<=>(~creative(X)|~calm(X))))&
(![X]:((~generous(X)&~curious(X))<=>(~humble(X)&creative(X))))&
(((brave(mary)|~quiet(mary)))<=>(~wise(mary)))&
(![X]:((curious(X)&qu... | strong(alice) | [
"p2",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3741361410944678100747472
% SZS output start Proof for 3741361410944678100747472
3. ! [X0] : ((~quiet(X0) & ~old(X0)) <=> (~calm(X0) | ~creative(X0))) [input p2]
7. ! [X0] : (creative(X0) => (~quiet(X0) <~> ~calm(X0))) [input p6]
15. ? [X0] : quiet(X0) <=> ? [X0] : (~strong(X0) | old(X0))... | 0 |
Everyone who is either not brave or not happy is not funny.
Everyone who is not quiet or not curious is not kind or not humble.
Everyone who is not wise or creative is either not patient or not humble and vice versa.
If lucy is both not calm and not happy then fred is not creative and vice versa.
If someone is creative... | John is not wise. | entailment | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((~quiet(X)|~curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((~wise(X)|creative(X))<=>(~patient(X)<~>~humble(X))))&
(((~calm(lucy)&~happy(lucy)))<=>(~creative(fred)))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~... | ~wise(john) | [
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3604558736000706495903556
% SZS output start Proof for 3604558736000706495903556
5. ? [X0] : creative(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p4]
12. ! [X0] : (quiet(X0) <=> creative(X0)) [input p11]
13. ! [X0] : (~quiet(X0) => (~quiet(X0) & ~wise(X0))) [input p12]
22. wise(john) [... | 0 |
If lucy is not patient then lucy is both not funny and calm. If fred is tall or not generous then lucy is not brave and vice versa. Everyone who is funny or not tall is either not creative or generous and vice versa. If fred is wise then susan is either curious or not strong. Everyone who is both patient and strong is ... | Lucy is not tall. | contradiction | ((~patient(lucy))=>((~funny(lucy)&calm(lucy))))&
(((tall(fred)|~generous(fred)))<=>(~brave(lucy)))&
(![X]:((funny(X)|~tall(X))<=>(~creative(X)<~>generous(X))))&
((wise(fred))=>((curious(susan)<~>~strong(susan))))&
(![X]:((patient(X)&strong(X))=>(patient(X)|tall(X))))&
((?[X]:(~rich(X)))=>((~humble(susan)<~>~happy(susan... | ~tall(lucy) | [
"p1",
"p2",
"p9",
"p11",
"p12",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4413189128032147638530854
% SZS output start Proof for 4413189128032147638530854
2. (~generous(fred) | tall(fred)) <=> ~brave(lucy) [input p1]
3. ! [X0] : ((~tall(X0) | funny(X0)) <=> (~creative(X0) <~> generous(X0))) [input p2]
10. ! [X0] : ((old(X0) & ~calm(X0)) <=> (wise(X0) | ~brave(X... | 0 |
Everyone who is either not quiet or not strong is either old or not curious.
Everyone who is old is not strong or wise.
If susan is either tall or not strong then fred is patient or not quiet and vice versa.
If susan is not strong or not patient then john is not strong.
Everyone who is either funny or quiet is both str... | John is not generous. | contradiction | (![X]:((~quiet(X)<~>~strong(X))=>(old(X)<~>~curious(X))))&
(![X]:(old(X)=>(~strong(X)|wise(X))))&
(((tall(susan)<~>~strong(susan)))<=>((patient(fred)|~quiet(fred))))&
(((~strong(susan)|~patient(susan)))=>(~strong(john)))&
(![X]:((funny(X)<~>quiet(X))<=>(strong(X)&old(X))))&
((?[X]:((~calm(X)&kind(X))))<=>(?[X]:((~rich(... | ~generous(john) | [
"p6",
"p8",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3483580237560036297919005
% SZS output start Proof for 3483580237560036297919005
7. ! [X0] : ((brave(X0) | curious(X0)) => (creative(X0) & ~kind(X0))) [input p6]
9. ! [X0] : ((~patient(X0) <~> ~generous(X0)) => (calm(X0) & kind(X0))) [input p8]
10. ! [X0] : (~curious(X0) <=> humble(X0)) [... | 0 |
Everyone who is funny is either patient or wise.
Everyone who is not funny is tall.
Everyone who is not tall or rich is kind or not quiet and vice versa.
Everyone who is either generous or not old is both creative and not calm.
If someone is both calm and tall then someone is either not calm or not strong and vice vers... | Paul is not rich. | neutral | (![X]:(funny(X)=>(patient(X)<~>wise(X))))&
(![X]:(~funny(X)=>tall(X)))&
(![X]:((~tall(X)|rich(X))<=>(kind(X)|~quiet(X))))&
(![X]:((generous(X)<~>~old(X))=>(creative(X)&~calm(X))))&
((?[X]:((calm(X)&tall(X))))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:((tall(X)&~old(X))<=>(rich(X)<~>calm(X))))&
(((~funny(alice)&curious... | ~rich(paul) | [] | null | 0 |
Everyone who is not quiet is humble and vice versa.
Everyone who is not rich or rich is not tall.
Everyone who is kind is either humble or not rich and vice versa.
If someone is tall then paul is both not curious and not strong.
Everyone who is brave is either not brave or patient.
Everyone who is both not brave and ki... | John is not curious. | contradiction | (![X]:(~quiet(X)<=>humble(X)))&
(![X]:((~rich(X)|rich(X))=>~tall(X)))&
(![X]:(kind(X)<=>(humble(X)<~>~rich(X))))&
((?[X]:(tall(X)))=>((~curious(paul)&~strong(paul))))&
(![X]:(brave(X)=>(~brave(X)<~>patient(X))))&
(![X]:((~brave(X)&kind(X))<=>patient(X)))&
(![X]:((funny(X)&humble(X))=>(~patient(X)&~humble(X))))&
(![X]:(... | ~curious(john) | [
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2599581402819983487595229
% SZS output start Proof for 2599581402819983487595229
5. ! [X0] : (brave(X0) => (~brave(X0) <~> patient(X0))) [input p4]
6. ! [X0] : ((kind(X0) & ~brave(X0)) <=> patient(X0)) [input p5]
8. ! [X0] : (~curious(X0) <=> (old(X0) & brave(X0))) [input p7]
21. ~curious... | 0 |
If someone is creative or not happy then someone is calm.
Everyone who is not tall or wise is quiet.
If someone is not brave or wise then susan is strong or old.
Everyone who is not tall is happy or not funny.
Everyone who is either wise or quiet is not brave.
Everyone who is both not humble and generous is brave or no... | Paul is old. | entailment | ((?[X]:((creative(X)|~happy(X))))=>(?[X]:(calm(X))))&
(![X]:((~tall(X)|wise(X))=>quiet(X)))&
((?[X]:((~brave(X)|wise(X))))=>((strong(susan)|old(susan))))&
(![X]:(~tall(X)=>(happy(X)|~funny(X))))&
(![X]:((wise(X)<~>quiet(X))=>~brave(X)))&
(![X]:((~humble(X)&generous(X))<=>(brave(X)|~tall(X))))&
(![X]:((~quiet(X)|~genero... | old(paul) | [
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4722525765645337231899876
% SZS output start Proof for 4722525765645337231899876
6. ! [X0] : ((generous(X0) & ~humble(X0)) <=> (~tall(X0) | brave(X0))) [input p5]
8. brave(mary) <=> ? [X0] : ~old(X0) [input p7]
9. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (~generous(X0) <~> ~brave(X0))) [in... | 0 |
Everyone who is not humble is not kind or not tall. If someone is humble or not happy then john is both not strong and tall. If someone is not strong or brave then someone is happy or rich. If john is quiet or not brave then someone is either tall or not generous. Everyone who is happy or not generous is both calm and ... | Paul is calm. | neutral | (![X]:(~humble(X)=>(~kind(X)|~tall(X))))&
((?[X]:((humble(X)|~happy(X))))=>((~strong(john)&tall(john))))&
((?[X]:((~strong(X)|brave(X))))=>(?[X]:((happy(X)|rich(X)))))&
(((quiet(john)|~brave(john)))=>(?[X]:((tall(X)<~>~generous(X)))))&
(![X]:((happy(X)|~generous(X))=>(calm(X)&~old(X))))&
(![X]:((~curious(X)<~>old(X))=>... | calm(paul) | [] | null | 0 |
Everyone who is either not kind or not brave is either old or not kind and vice versa.
Everyone who is not rich or curious is generous or patient.
Everyone who is either tall or wise is not patient and vice versa.
Everyone who is tall or not strong is either not wise or calm and vice versa.
If someone is not rich then ... | Lucy is not wise. | neutral | (![X]:((~kind(X)<~>~brave(X))<=>(old(X)<~>~kind(X))))&
(![X]:((~rich(X)|curious(X))=>(generous(X)|patient(X))))&
(![X]:((tall(X)<~>wise(X))<=>~patient(X)))&
(![X]:((tall(X)|~strong(X))<=>(~wise(X)<~>calm(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~strong(X)<~>quiet(X)))))&
(![X]:(patient(X)<=>(~quiet(X)&rich(X))))&
((?[X]:((ha... | ~wise(lucy) | [] | null | 0 |
If susan is not quiet or curious then susan is not strong and vice versa.
If someone is curious or brave then paul is patient or curious.
If someone is not kind or humble then john is either not calm or quiet and vice versa.
If susan is curious or not curious then mary is either not strong or not tall.
If someone is bo... | John is not tall. | neutral | (((~quiet(susan)|curious(susan)))<=>(~strong(susan)))&
((?[X]:((curious(X)|brave(X))))=>((patient(paul)|curious(paul))))&
((?[X]:((~kind(X)|humble(X))))<=>((~calm(john)<~>quiet(john))))&
(((curious(susan)|~curious(susan)))=>((~strong(mary)<~>~tall(mary))))&
((?[X]:((~old(X)&~calm(X))))<=>((funny(john)<~>curious(john)))... | ~tall(john) | [] | null | 0 |
If lucy is either not tall or tall then someone is either generous or not kind and vice versa.
If someone is not quiet or tall then alice is humble or not wise and vice versa.
Everyone who is not generous is not patient and vice versa.
Everyone who is either not generous or not funny is both not creative and not patien... | John is strong. | neutral | (((~tall(lucy)<~>tall(lucy)))<=>(?[X]:((generous(X)<~>~kind(X)))))&
((?[X]:((~quiet(X)|tall(X))))<=>((humble(alice)|~wise(alice))))&
(![X]:(~generous(X)<=>~patient(X)))&
(![X]:((~generous(X)<~>~funny(X))<=>(~creative(X)&~patient(X))))&
(![X]:((humble(X)|~strong(X))<=>(patient(X)&~brave(X))))&
(![X]:((~quiet(X)|~generou... | strong(john) | [] | null | 0 |
If lucy is curious or funny then lucy is not quiet.
Everyone who is not tall or old is not tall or brave.
Everyone who is both not happy and not quiet is both patient and not strong and vice versa.
If john is creative then lucy is calm or not generous.
Everyone who is both not tall and not kind is not strong and vice v... | John is strong. | entailment | (((curious(lucy)|funny(lucy)))=>(~quiet(lucy)))&
(![X]:((~tall(X)|old(X))=>(~tall(X)|brave(X))))&
(![X]:((~happy(X)&~quiet(X))<=>(patient(X)&~strong(X))))&
((creative(john))=>((calm(lucy)|~generous(lucy))))&
(![X]:((~tall(X)&~kind(X))<=>~strong(X)))&
(![X]:((kind(X)&creative(X))<=>wise(X)))&
(![X]:(~creative(X)<=>(kind... | strong(john) | [
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 403283689099576094588567
% SZS output start Proof for 403283689099576094588567
5. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> ~strong(X0)) [input p4]
6. ! [X0] : ((creative(X0) & kind(X0)) <=> wise(X0)) [input p5]
10. ! [X0] : ((~wise(X0) | ~generous(X0)) => (~rich(X0) & strong(X0))) [input p9]... | 0 |
If fred is not creative or not wise then alice is both not old and quiet.
If someone is either not creative or not curious then mary is either calm or not funny and vice versa.
Everyone who is not wise or old is both old and strong.
Everyone who is either kind or generous is both funny and not calm.
Everyone who is not... | Mary is curious. | contradiction | (((~creative(fred)|~wise(fred)))=>((~old(alice)&quiet(alice))))&
((?[X]:((~creative(X)<~>~curious(X))))<=>((calm(mary)<~>~funny(mary))))&
(![X]:((~wise(X)|old(X))=>(old(X)&strong(X))))&
(![X]:((kind(X)<~>generous(X))=>(funny(X)&~calm(X))))&
(![X]:(~happy(X)=>(~funny(X)<~>~kind(X))))&
(![X]:((calm(X)&old(X))=>(curious(X... | curious(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1795264960604807025847204
% SZS output start Proof for 1795264960604807025847204
18. ~curious(mary) [input p17]
25. curious(mary) [input hypothesis]
126. ~curious(mary) [cnf transformation 18]
133. curious(mary) [cnf transformation 25]
257. 27 <=> curious(mary) [avatar definition]
295. ~2... | 0 |
If john is happy or old then someone is creative.
Everyone who is rich is not kind or quiet.
Everyone who is either not humble or not rich is brave.
If someone is tall then someone is both kind and brave.
If mary is not wise or creative then alice is not happy or not funny and vice versa.
Everyone who is quiet is not s... | John is not calm. | contradiction | (((happy(john)|old(john)))=>(?[X]:(creative(X))))&
(![X]:(rich(X)=>(~kind(X)|quiet(X))))&
(![X]:((~humble(X)<~>~rich(X))=>brave(X)))&
((?[X]:(tall(X)))=>(?[X]:((kind(X)&brave(X)))))&
(((~wise(mary)|creative(mary)))<=>((~happy(alice)|~funny(alice))))&
(![X]:(quiet(X)<=>~strong(X)))&
(![X]:(~rich(X)=>(~quiet(X)<~>generou... | ~calm(john) | [
"p5",
"p6",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 273489151898543438704829
% SZS output start Proof for 273489151898543438704829
6. ! [X0] : (quiet(X0) <=> ~strong(X0)) [input p5]
7. ! [X0] : (~rich(X0) => (~quiet(X0) <~> generous(X0))) [input p6]
14. ! [X0] : ((rich(X0) | generous(X0)) <=> calm(X0)) [input p13]
15. ! [X0] : ((happy(X0) ... | 0 |
If paul is both not happy and not humble then someone is not humble. If fred is funny then paul is humble or not generous. Everyone who is not curious is curious or kind and vice versa. Everyone who is quiet is not old or not kind and vice versa. If mary is either brave or not humble then susan is creative. Everyone wh... | John is not creative. | contradiction | (((~happy(paul)&~humble(paul)))=>(?[X]:(~humble(X))))&
((funny(fred))=>((humble(paul)|~generous(paul))))&
(![X]:(~curious(X)<=>(curious(X)|kind(X))))&
(![X]:(quiet(X)<=>(~old(X)|~kind(X))))&
(((brave(mary)<~>~humble(mary)))=>(creative(susan)))&
(![X]:(happy(X)<=>(kind(X)&calm(X))))&
(![X]:(kind(X)<=>(~wise(X)|~old(X)))... | ~creative(john) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5026250827624056145673429
% SZS output start Proof for 5026250827624056145673429
3. ! [X0] : (~curious(X0) <=> (kind(X0) | curious(X0))) [input p2]
4. ! [X0] : (quiet(X0) <=> (~kind(X0) | ~old(X0))) [input p3]
8. ! [X0] : ((funny(X0) & quiet(X0)) <=> (tall(X0) <~> funny(X0))) [input p7]
9... | 0 |
If someone is either old or curious then lucy is either rich or not quiet and vice versa.
Everyone who is either not generous or not calm is not tall or patient.
Everyone who is not brave is both strong and quiet and vice versa.
Everyone who is not creative is brave and vice versa.
If someone is either generous or quie... | John is quiet. | entailment | ((?[X]:((old(X)<~>curious(X))))<=>((rich(lucy)<~>~quiet(lucy))))&
(![X]:((~generous(X)<~>~calm(X))=>(~tall(X)|patient(X))))&
(![X]:(~brave(X)<=>(strong(X)&quiet(X))))&
(![X]:(~creative(X)<=>brave(X)))&
((?[X]:((generous(X)<~>quiet(X))))=>(?[X]:((~calm(X)<~>~brave(X)))))&
(![X]:((~tall(X)&strong(X))=>~tall(X)))&
((~brav... | quiet(john) | [
"p1",
"p2",
"p3",
"p8",
"p9",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1211432945283286076268993
% SZS output start Proof for 1211432945283286076268993
2. ! [X0] : ((~generous(X0) <~> ~calm(X0)) => (patient(X0) | ~tall(X0))) [input p1]
3. ! [X0] : (~brave(X0) <=> (quiet(X0) & strong(X0))) [input p2]
4. ! [X0] : (~creative(X0) <=> brave(X0)) [input p3]
9. ! [... | 0 |
If someone is strong then mary is either funny or not tall and vice versa.
Everyone who is both calm and tall is not happy and vice versa.
Everyone who is kind or humble is both tall and not calm.
Everyone who is not old is not patient.
If susan is tall then someone is either not humble or not kind and vice versa.
If m... | Susan is not strong. | entailment | ((?[X]:(strong(X)))<=>((funny(mary)<~>~tall(mary))))&
(![X]:((calm(X)&tall(X))<=>~happy(X)))&
(![X]:((kind(X)|humble(X))=>(tall(X)&~calm(X))))&
(![X]:(~old(X)=>~patient(X)))&
((tall(susan))<=>(?[X]:((~humble(X)<~>~kind(X)))))&
(((~tall(mary)<~>~brave(mary)))=>(?[X]:((generous(X)<~>~patient(X)))))&
(![X]:((generous(X)<~... | ~strong(susan) | [
"p0",
"p2",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5410530047935355546891532
% SZS output start Proof for 5410530047935355546891532
1. ? [X0] : strong(X0) <=> (funny(mary) <~> ~tall(mary)) [input p0]
3. ! [X0] : ((humble(X0) | kind(X0)) => (~calm(X0) & tall(X0))) [input p2]
9. ! [X0] : (generous(X0) => (rich(X0) & ~tall(X0))) [input p8]
1... | 0 |
Everyone who is both not generous and not patient is not generous.
If someone is either not creative or not old then someone is both strong and not old and vice versa.
Everyone who is either wise or not happy is either not quiet or not kind.
If susan is creative or not kind then alice is both calm and old.
If someone i... | Lucy is tall. | neutral | (![X]:((~generous(X)&~patient(X))=>~generous(X)))&
((?[X]:((~creative(X)<~>~old(X))))<=>(?[X]:((strong(X)&~old(X)))))&
(![X]:((wise(X)<~>~happy(X))=>(~quiet(X)<~>~kind(X))))&
(((creative(susan)|~kind(susan)))=>((calm(alice)&old(alice))))&
((?[X]:(~rich(X)))=>(?[X]:((~old(X)&brave(X)))))&
(![X]:(rich(X)<=>(~generous(X)<... | tall(lucy) | [] | null | 0 |
If someone is not brave then paul is both not rich and not strong.
Everyone who is either not calm or not curious is both funny and not old and vice versa.
Everyone who is both not humble and not strong is either not rich or not strong and vice versa.
If someone is both happy and not curious then alice is both generous... | Susan is humble. | contradiction | ((?[X]:(~brave(X)))=>((~rich(paul)&~strong(paul))))&
(![X]:((~calm(X)<~>~curious(X))<=>(funny(X)&~old(X))))&
(![X]:((~humble(X)&~strong(X))<=>(~rich(X)<~>~strong(X))))&
((?[X]:((happy(X)&~curious(X))))<=>((generous(alice)&~old(alice))))&
(![X]:(~wise(X)=>(~happy(X)<~>wise(X))))&
(![X]:((~rich(X)|~humble(X))=>(~kind(X)&... | humble(susan) | [
"p2",
"p4",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 166372735238059170912529
% SZS output start Proof for 166372735238059170912529
3. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (~rich(X0) <~> ~strong(X0))) [input p2]
5. ! [X0] : (~wise(X0) => (~happy(X0) <~> wise(X0))) [input p4]
6. ! [X0] : ((~humble(X0) | ~rich(X0)) => (rich(X0) & ~kind(X... | 0 |
Everyone who is curious is not generous or creative.
If someone is calm then alice is brave and vice versa.
If someone is generous or calm then fred is not generous and vice versa.
If someone is not kind then someone is tall or not kind and vice versa.
Everyone who is both humble and not tall is not funny or calm and v... | Fred is generous. | contradiction | (![X]:(curious(X)=>(~generous(X)|creative(X))))&
((?[X]:(calm(X)))<=>(brave(alice)))&
((?[X]:((generous(X)|calm(X))))<=>(~generous(fred)))&
((?[X]:(~kind(X)))<=>(?[X]:((tall(X)|~kind(X)))))&
(![X]:((humble(X)&~tall(X))<=>(~funny(X)|calm(X))))&
((?[X]:((strong(X)|funny(X))))=>(?[X]:(tall(X))))&
((?[X]:((~calm(X)<~>kind(... | generous(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4309459886972445790882502
% SZS output start Proof for 4309459886972445790882502
3. ? [X0] : (calm(X0) | generous(X0)) <=> ~generous(fred) [input p2]
23. generous(fred) [input hypothesis]
37. (? [X0] : (calm(X0) | generous(X0)) | generous(fred)) & (~generous(fred) | ! [X0] : (~calm(X0) & ... | 0 |
If someone is either not brave or not kind then someone is either not creative or quiet.
Everyone who is not humble or happy is not old or strong and vice versa.
Everyone who is both not generous and calm is either wise or not kind and vice versa.
If mary is either not kind or not curious then fred is not rich or not c... | John is brave. | neutral | ((?[X]:((~brave(X)<~>~kind(X))))=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:((~humble(X)|happy(X))<=>(~old(X)|strong(X))))&
(![X]:((~generous(X)&calm(X))<=>(wise(X)<~>~kind(X))))&
(((~kind(mary)<~>~curious(mary)))=>((~rich(fred)|~creative(fred))))&
(![X]:((old(X)|~strong(X))=>(wise(X)&generous(X))))&
((?[X]:((~quiet(X... | brave(john) | [] | null | 0 |
If susan is not rich then lucy is both wise and generous. Everyone who is not humble is not quiet and vice versa. Everyone who is either not strong or wise is either not humble or not calm. Everyone who is quiet is not kind or humble and vice versa. Everyone who is quiet or not rich is old or not humble. Everyone who i... | Alice is not rich. | contradiction | ((~rich(susan))=>((wise(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>~quiet(X)))&
(![X]:((~strong(X)<~>wise(X))=>(~humble(X)<~>~calm(X))))&
(![X]:(quiet(X)<=>(~kind(X)|humble(X))))&
(![X]:((quiet(X)|~rich(X))=>(old(X)|~humble(X))))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~creative(X))))&
(![X]:(~kind(X)<=>wise(X)))&
(![... | ~rich(alice) | [
"p1",
"p3",
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1088981115056892016243700
% SZS output start Proof for 1088981115056892016243700
2. ! [X0] : (~humble(X0) <=> ~quiet(X0)) [input p1]
4. ! [X0] : (quiet(X0) <=> (humble(X0) | ~kind(X0))) [input p3]
5. ! [X0] : ((~rich(X0) | quiet(X0)) => (~humble(X0) | old(X0))) [input p4]
6. ! [X0] : ((ki... | 0 |
If someone is generous or not tall then someone is not patient and vice versa.
If someone is not generous then someone is both not strong and curious and vice versa.
If alice is either not generous or not tall then someone is either not happy or old.
Everyone who is both rich and tall is not kind and vice versa.
Everyo... | John is strong. | contradiction | ((?[X]:((generous(X)|~tall(X))))<=>(?[X]:(~patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~strong(X)&curious(X)))))&
(((~generous(alice)<~>~tall(alice)))=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((rich(X)&tall(X))<=>~kind(X)))&
(![X]:((~humble(X)&~old(X))<=>~rich(X)))&
(((funny(susan)&~creative(susan)))<=>((~old(susan)&... | strong(john) | [
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7655355481669714608725791
% SZS output start Proof for 7655355481669714608725791
15. ! [X0] : ((~quiet(X0) | strong(X0)) => (happy(X0) & ~creative(X0))) [input p14]
23. ~creative(john) <~> strong(john) [input p22]
25. strong(john) [input hypothesis]
35. ! [X0] : ((happy(X0) & ~creative(X0... | 0 |
If someone is not wise then susan is not strong or calm.
Everyone who is both old and not strong is both tall and old.
Everyone who is either not strong or patient is either happy or creative and vice versa.
If susan is either patient or not rich then someone is both curious and not calm.
If fred is not funny or quiet ... | Susan is not funny. | entailment | ((?[X]:(~wise(X)))=>((~strong(susan)|calm(susan))))&
(![X]:((old(X)&~strong(X))=>(tall(X)&old(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(happy(X)<~>creative(X))))&
(((patient(susan)<~>~rich(susan)))=>(?[X]:((curious(X)&~calm(X)))))&
(((~funny(fred)|quiet(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((~funny(X)|kind(X))))=>(c... | ~funny(susan) | [
"p6",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1475357682997918704917219
% SZS output start Proof for 1475357682997918704917219
7. ! [X0] : ((~kind(X0) | ~curious(X0)) <=> rich(X0)) [input p6]
12. ! [X0] : (~rich(X0) <=> (funny(X0) & ~kind(X0))) [input p11]
19. ~kind(susan) <~> ~funny(susan) [input p18]
25. funny(susan) [input hypothe... | 0 |
If someone is either not old or quiet then someone is either not kind or wise.
Everyone who is patient is both not patient and quiet and vice versa.
If paul is strong then someone is strong.
Everyone who is old or not quiet is both curious and not brave.
If paul is either wise or not old then fred is tall.
Everyone who... | John is old. | entailment | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~kind(X)<~>wise(X)))))&
(![X]:(patient(X)<=>(~patient(X)&quiet(X))))&
((strong(paul))=>(?[X]:(strong(X))))&
(![X]:((old(X)|~quiet(X))=>(curious(X)&~brave(X))))&
(((wise(paul)<~>~old(paul)))=>(tall(fred)))&
(![X]:((~quiet(X)&~patient(X))=>(~tall(X)&old(X))))&
(![X]:((~quiet(X)&qui... | old(john) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7074494074016103189960817
% SZS output start Proof for 7074494074016103189960817
2. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p1]
6. ! [X0] : ((~patient(X0) & ~quiet(X0)) => (old(X0) & ~tall(X0))) [input p5]
22. ~old(john) [input hypothesis]
28. ! [X0] : ((old(X0) & ~ta... | 0 |
Everyone who is both calm and not patient is patient or brave and vice versa.
If someone is both wise and curious then someone is not humble and vice versa.
Everyone who is either not brave or not tall is both not calm and calm.
Everyone who is not rich or generous is not funny and vice versa.
Everyone who is either hu... | Alice is not tall. | neutral | (![X]:((calm(X)&~patient(X))<=>(patient(X)|brave(X))))&
((?[X]:((wise(X)&curious(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)<~>~tall(X))=>(~calm(X)&calm(X))))&
(![X]:((~rich(X)|generous(X))<=>~funny(X)))&
(![X]:((humble(X)<~>old(X))=>(wise(X)<~>kind(X))))&
(![X]:((~creative(X)|funny(X))=>(calm(X)&~kind(X))))&
(![X]... | ~tall(alice) | [] | null | 0 |
Everyone who is kind or not creative is humble and vice versa.
Everyone who is old or funny is both funny and not calm and vice versa.
Everyone who is not old or not generous is either not old or humble and vice versa.
Everyone who is brave is both not rich and not old and vice versa.
Everyone who is both calm and crea... | Alice is not funny. | entailment | (![X]:((kind(X)|~creative(X))<=>humble(X)))&
(![X]:((old(X)|funny(X))<=>(funny(X)&~calm(X))))&
(![X]:((~old(X)|~generous(X))<=>(~old(X)<~>humble(X))))&
(![X]:(brave(X)<=>(~rich(X)&~old(X))))&
(![X]:((calm(X)&creative(X))<=>(generous(X)|wise(X))))&
((?[X]:((creative(X)|~rich(X))))<=>((calm(john)<~>~kind(john))))&
(((~ki... | ~funny(alice) | [
"p2",
"p3",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4322728871810409985478009
% SZS output start Proof for 4322728871810409985478009
3. ! [X0] : ((~generous(X0) | ~old(X0)) <=> (~old(X0) <~> humble(X0))) [input p2]
4. ! [X0] : (brave(X0) <=> (~old(X0) & ~rich(X0))) [input p3]
15. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> (~brave(X0) & ~kind... | 0 |
If john is not patient then john is both happy and kind.
Everyone who is either wise or curious is not happy and vice versa.
If mary is both not wise and not creative then john is both funny and humble and vice versa.
If fred is not old then susan is not humble.
If someone is brave then someone is either generous or cu... | John is patient. | entailment | ((~patient(john))=>((happy(john)&kind(john))))&
(![X]:((wise(X)<~>curious(X))<=>~happy(X)))&
(((~wise(mary)&~creative(mary)))<=>((funny(john)&humble(john))))&
((~old(fred))=>(~humble(susan)))&
((?[X]:(brave(X)))=>(?[X]:((generous(X)<~>curious(X)))))&
(((~humble(mary)|~old(mary)))<=>(?[X]:((happy(X)&~quiet(X)))))&
(((ri... | patient(john) | [
"p0",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 624095960270999142302380
% SZS output start Proof for 624095960270999142302380
1. ~patient(john) => (kind(john) & happy(john)) [input p0]
15. ! [X0] : (happy(X0) => (old(X0) & tall(X0))) [input p14]
23. rich(john) & ~old(john) [input p22]
25. ~patient(john) [input hypothesis]
28. (kind(jo... | 0 |
Everyone who is both humble and funny is not quiet or not wise and vice versa. Everyone who is not patient is not curious or old. If someone is both rich and generous then alice is brave and vice versa. Everyone who is curious is strong. If john is not kind or curious then paul is funny. Everyone who is either not stro... | Paul is humble. | entailment | (![X]:((humble(X)&funny(X))<=>(~quiet(X)|~wise(X))))&
(![X]:(~patient(X)=>(~curious(X)|old(X))))&
((?[X]:((rich(X)&generous(X))))<=>(brave(alice)))&
(![X]:(curious(X)=>strong(X)))&
(((~kind(john)|curious(john)))=>(funny(paul)))&
(![X]:((~strong(X)<~>humble(X))=>(brave(X)<~>humble(X))))&
(((~curious(paul)&curious(paul))... | humble(paul) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 29112894722426545686278
% SZS output start Proof for 29112894722426545686278
1. ! [X0] : ((funny(X0) & humble(X0)) <=> (~wise(X0) | ~quiet(X0))) [input p0]
7. (curious(paul) & ~curious(paul)) <=> ? [X0] : (wise(X0) | ~tall(X0)) [input p6]
24. ~humble(paul) [input hypothesis]
38. ! [X0] : ... | 0 |
Everyone who is not happy or creative is either brave or not kind and vice versa. Everyone who is old or not creative is either curious or quiet. Everyone who is either not humble or not tall is both not curious and not brave and vice versa. Everyone who is either not curious or not strong is not rich or old. Everyone ... | Paul is not creative. | neutral | (![X]:((~happy(X)|creative(X))<=>(brave(X)<~>~kind(X))))&
(![X]:((old(X)|~creative(X))=>(curious(X)<~>quiet(X))))&
(![X]:((~humble(X)<~>~tall(X))<=>(~curious(X)&~brave(X))))&
(![X]:((~curious(X)<~>~strong(X))=>(~rich(X)|old(X))))&
(![X]:((~wise(X)<~>wise(X))=>(~humble(X)<~>brave(X))))&
(((generous(mary)<~>calm(mary)))=... | ~creative(paul) | [] | null | 0 |
If fred is humble or creative then someone is not curious or quiet and vice versa.
Everyone who is both happy and patient is not humble or not old.
Everyone who is not brave or wise is old.
Everyone who is either not brave or not patient is both humble and creative and vice versa.
Everyone who is not brave or not stron... | Lucy is brave. | entailment | (((humble(fred)|creative(fred)))<=>(?[X]:((~curious(X)|quiet(X)))))&
(![X]:((happy(X)&patient(X))=>(~humble(X)|~old(X))))&
(![X]:((~brave(X)|wise(X))=>old(X)))&
(![X]:((~brave(X)<~>~patient(X))<=>(humble(X)&creative(X))))&
(![X]:((~brave(X)|~strong(X))=>(kind(X)&~brave(X))))&
(((curious(alice)|creative(alice)))=>(?[X]:... | brave(lucy) | [
"p6",
"p11",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 155458933395177952594939
% SZS output start Proof for 155458933395177952594939
7. (~funny(mary) | ~curious(mary)) <=> (~humble(lucy) & brave(lucy)) [input p6]
12. ! [X0] : ((generous(X0) <~> ~tall(X0)) => (wise(X0) & ~curious(X0))) [input p11]
17. ~tall(mary) [input p16]
23. ~generous(mar... | 0 |
If alice is not curious then mary is funny.
If someone is not kind or wise then someone is both not strong and generous.
If someone is either not rich or strong then paul is either not tall or funny.
Everyone who is tall or not old is both not wise and not old.
If paul is either not rich or not quiet then someone is bo... | Alice is old. | entailment | ((~curious(alice))=>(funny(mary)))&
((?[X]:((~kind(X)|wise(X))))=>(?[X]:((~strong(X)&generous(X)))))&
((?[X]:((~rich(X)<~>strong(X))))=>((~tall(paul)<~>funny(paul))))&
(![X]:((tall(X)|~old(X))=>(~wise(X)&~old(X))))&
(((~rich(paul)<~>~quiet(paul)))=>(?[X]:((~brave(X)&~curious(X)))))&
((?[X]:((old(X)&~happy(X))))=>((~old... | old(alice) | [
"p3",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6541711226758015040705632
% SZS output start Proof for 6541711226758015040705632
4. ! [X0] : ((~old(X0) | tall(X0)) => (~old(X0) & ~wise(X0))) [input p3]
8. ! [X0] : (brave(X0) => (brave(X0) <~> ~wise(X0))) [input p7]
11. ! [X0] : (~wise(X0) <=> (brave(X0) & ~wise(X0))) [input p10]
22. ~o... | 0 |
Everyone who is not generous is either quiet or not patient and vice versa.
Everyone who is tall is both not tall and generous and vice versa.
If mary is not strong then susan is both creative and not tall and vice versa.
If mary is both not tall and not quiet then susan is either wise or strong and vice versa.
If lucy... | Paul is not patient. | contradiction | (![X]:(~generous(X)<=>(quiet(X)<~>~patient(X))))&
(![X]:(tall(X)<=>(~tall(X)&generous(X))))&
((~strong(mary))<=>((creative(susan)&~tall(susan))))&
(((~tall(mary)&~quiet(mary)))<=>((wise(susan)<~>strong(susan))))&
(((funny(lucy)<~>calm(lucy)))<=>((curious(lucy)&tall(lucy))))&
(((~calm(mary)<~>kind(mary)))=>(?[X]:((tall(... | ~patient(paul) | [
"p0",
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2650420872357855702151839
% SZS output start Proof for 2650420872357855702151839
1. ! [X0] : (~generous(X0) <=> (quiet(X0) <~> ~patient(X0))) [input p0]
2. ! [X0] : (tall(X0) <=> (generous(X0) & ~tall(X0))) [input p1]
14. ! [X0] : (~quiet(X0) <=> (rich(X0) & generous(X0))) [input p13]
24.... | 0 |
If someone is either generous or not humble then susan is not strong and vice versa. Everyone who is not generous is old or not quiet and vice versa. Everyone who is not strong or not generous is either not brave or calm and vice versa. Everyone who is calm is rich or humble and vice versa. Everyone who is kind is not ... | Susan is not humble. | contradiction | ((?[X]:((generous(X)<~>~humble(X))))<=>(~strong(susan)))&
(![X]:(~generous(X)<=>(old(X)|~quiet(X))))&
(![X]:((~strong(X)|~generous(X))<=>(~brave(X)<~>calm(X))))&
(![X]:(calm(X)<=>(rich(X)|humble(X))))&
(![X]:(kind(X)<=>(~kind(X)|~quiet(X))))&
((~tall(lucy))=>(?[X]:((~brave(X)&rich(X)))))&
(![X]:((curious(X)&humble(X))=... | ~humble(susan) | [
"p1",
"p2",
"p3",
"p4",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1309514548459834100895003
% SZS output start Proof for 1309514548459834100895003
2. ! [X0] : (~generous(X0) <=> (~quiet(X0) | old(X0))) [input p1]
3. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> (~brave(X0) <~> calm(X0))) [input p2]
4. ! [X0] : (calm(X0) <=> (humble(X0) | rich(X0))) [input... | 0 |
Everyone who is not rich or patient is either not generous or not kind and vice versa.
Everyone who is not wise is rich.
Everyone who is either not kind or not humble is kind.
If someone is both happy and not brave then paul is brave or quiet and vice versa.
Everyone who is either curious or generous is humble and vice... | Mary is patient. | entailment | (![X]:((~rich(X)|patient(X))<=>(~generous(X)<~>~kind(X))))&
(![X]:(~wise(X)=>rich(X)))&
(![X]:((~kind(X)<~>~humble(X))=>kind(X)))&
((?[X]:((happy(X)&~brave(X))))<=>((brave(paul)|quiet(paul))))&
(![X]:((curious(X)<~>generous(X))<=>humble(X)))&
(![X]:((tall(X)<~>~humble(X))<=>(creative(X)<~>strong(X))))&
(![X]:((patient(... | patient(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 251958224097436923577633
% SZS output start Proof for 251958224097436923577633
7. ! [X0] : ((rich(X0) & patient(X0)) <=> (~strong(X0) | strong(X0))) [input p6]
25. ~patient(mary) [input hypothesis]
42. ! [X0] : (((rich(X0) & patient(X0)) | (strong(X0) & ~strong(X0))) & ((~strong(X0) | str... | 0 |
If susan is both not humble and not strong then fred is both not funny and not tall and vice versa. Everyone who is both patient and not tall is both curious and not calm and vice versa. If someone is not creative then fred is either not old or strong. Everyone who is both happy and not brave is both not funny and not ... | Susan is not calm. | neutral | (((~humble(susan)&~strong(susan)))<=>((~funny(fred)&~tall(fred))))&
(![X]:((patient(X)&~tall(X))<=>(curious(X)&~calm(X))))&
((?[X]:(~creative(X)))=>((~old(fred)<~>strong(fred))))&
(![X]:((happy(X)&~brave(X))=>(~funny(X)&~rich(X))))&
(![X]:(wise(X)=>~curious(X)))&
((?[X]:((quiet(X)|strong(X))))<=>(?[X]:((creative(X)|kin... | ~calm(susan) | [] | null | 0 |
Everyone who is creative or tall is either wise or old and vice versa.
If someone is either rich or wise then someone is both wise and not happy.
If someone is kind or humble then lucy is not old or not patient.
Everyone who is both patient and funny is either not strong or calm and vice versa.
Everyone who is creative... | Lucy is curious. | neutral | (![X]:((creative(X)|tall(X))<=>(wise(X)<~>old(X))))&
((?[X]:((rich(X)<~>wise(X))))=>(?[X]:((wise(X)&~happy(X)))))&
((?[X]:((kind(X)|humble(X))))=>((~old(lucy)|~patient(lucy))))&
(![X]:((patient(X)&funny(X))<=>(~strong(X)<~>calm(X))))&
(![X]:(creative(X)=>(~curious(X)|~tall(X))))&
(![X]:((~humble(X)|old(X))=>(~generous(... | curious(lucy) | [] | null | 0 |
If mary is not funny or not strong then someone is either not creative or rich.
Everyone who is generous is either not kind or brave.
If paul is both creative and not rich then fred is both creative and curious and vice versa.
If someone is not patient or old then someone is either tall or not patient and vice versa.
E... | Susan is rich. | entailment | (((~funny(mary)|~strong(mary)))=>(?[X]:((~creative(X)<~>rich(X)))))&
(![X]:(generous(X)=>(~kind(X)<~>brave(X))))&
(((creative(paul)&~rich(paul)))<=>((creative(fred)&curious(fred))))&
((?[X]:((~patient(X)|old(X))))<=>(?[X]:((tall(X)<~>~patient(X)))))&
(![X]:((~old(X)|~happy(X))<=>~tall(X)))&
(((~old(susan)|generous(susa... | rich(susan) | [
"p4",
"p6",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3091268813147733632172180
% SZS output start Proof for 3091268813147733632172180
5. ! [X0] : ((~happy(X0) | ~old(X0)) <=> ~tall(X0)) [input p4]
7. ! [X0] : ((~funny(X0) & ~happy(X0)) <=> ~happy(X0)) [input p6]
9. ! [X0] : ((old(X0) | humble(X0)) => (patient(X0) <~> old(X0))) [input p8]
11... | 0 |
Everyone who is not strong or calm is not patient and vice versa.
Everyone who is either rich or not creative is curious and vice versa.
Everyone who is either old or curious is either happy or not strong.
Everyone who is both brave and strong is either happy or not strong and vice versa.
Everyone who is not strong or ... | John is humble. | neutral | (![X]:((~strong(X)|calm(X))<=>~patient(X)))&
(![X]:((rich(X)<~>~creative(X))<=>curious(X)))&
(![X]:((old(X)<~>curious(X))=>(happy(X)<~>~strong(X))))&
(![X]:((brave(X)&strong(X))<=>(happy(X)<~>~strong(X))))&
(![X]:((~strong(X)|tall(X))<=>(old(X)&generous(X))))&
(![X]:(generous(X)=>~kind(X)))&
(![X]:((old(X)<~>quiet(X))=... | humble(john) | [] | null | 0 |
Everyone who is not wise is strong or not quiet and vice versa.
Everyone who is both happy and not calm is not funny or strong.
If alice is not creative or old then paul is patient and vice versa.
Everyone who is either not generous or creative is not strong and vice versa.
If alice is not brave then someone is either ... | Alice is not strong. | neutral | (![X]:(~wise(X)<=>(strong(X)|~quiet(X))))&
(![X]:((happy(X)&~calm(X))=>(~funny(X)|strong(X))))&
(((~creative(alice)|old(alice)))<=>(patient(paul)))&
(![X]:((~generous(X)<~>creative(X))<=>~strong(X)))&
((~brave(alice))=>(?[X]:((calm(X)<~>~patient(X)))))&
(![X]:((~creative(X)|rich(X))=>(~humble(X)|quiet(X))))&
(![X]:(fun... | ~strong(alice) | [] | null | 0 |
If someone is not old then someone is both not creative and not rich.
If someone is either generous or quiet then mary is not generous and vice versa.
Everyone who is funny or not calm is creative or funny and vice versa.
Everyone who is patient or not generous is both not curious and calm.
Everyone who is both not hap... | Mary is calm. | entailment | ((?[X]:(~old(X)))=>(?[X]:((~creative(X)&~rich(X)))))&
((?[X]:((generous(X)<~>quiet(X))))<=>(~generous(mary)))&
(![X]:((funny(X)|~calm(X))<=>(creative(X)|funny(X))))&
(![X]:((patient(X)|~generous(X))=>(~curious(X)&calm(X))))&
(![X]:((~happy(X)&old(X))=>(~funny(X)&~curious(X))))&
((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((g... | calm(mary) | [
"p3",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 738614193066481519555856
% SZS output start Proof for 738614193066481519555856
4. ! [X0] : ((~generous(X0) | patient(X0)) => (calm(X0) & ~curious(X0))) [input p3]
8. ! [X0] : ((~funny(X0) <~> ~patient(X0)) => (~rich(X0) & patient(X0))) [input p7]
23. funny(mary) [input p22]
25. ~calm(mary... | 0 |
Everyone who is happy is either not quiet or generous and vice versa.
Everyone who is either old or not brave is not humble or patient.
Everyone who is either not strong or not humble is either wise or not happy.
Everyone who is both kind and patient is quiet and vice versa.
Everyone who is either not funny or not rich... | Lucy is not curious. | neutral | (![X]:(happy(X)<=>(~quiet(X)<~>generous(X))))&
(![X]:((old(X)<~>~brave(X))=>(~humble(X)|patient(X))))&
(![X]:((~strong(X)<~>~humble(X))=>(wise(X)<~>~happy(X))))&
(![X]:((kind(X)&patient(X))<=>quiet(X)))&
(![X]:((~funny(X)<~>~rich(X))=>(~wise(X)|~creative(X))))&
(![X]:((curious(X)|brave(X))<=>(generous(X)&~happy(X))))&
... | ~curious(lucy) | [] | null | 0 |
Everyone who is curious or not brave is brave.
If fred is generous or not happy then paul is both wise and not brave.
Everyone who is both strong and not curious is not brave.
If someone is quiet or not patient then someone is either not kind or not funny.
If alice is not rich then someone is both not happy and funny.
... | Fred is not happy. | contradiction | (![X]:((curious(X)|~brave(X))=>brave(X)))&
(((generous(fred)|~happy(fred)))=>((wise(paul)&~brave(paul))))&
(![X]:((strong(X)&~curious(X))=>~brave(X)))&
((?[X]:((quiet(X)|~patient(X))))=>(?[X]:((~kind(X)<~>~funny(X)))))&
((~rich(alice))=>(?[X]:((~happy(X)&funny(X)))))&
(![X]:(~strong(X)=>(curious(X)&~patient(X))))&
(![X... | ~happy(fred) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 202922219539103527568660
% SZS output start Proof for 202922219539103527568660
1. ! [X0] : ((~brave(X0) | curious(X0)) => brave(X0)) [input p0]
2. (~happy(fred) | generous(fred)) => (~brave(paul) & wise(paul)) [input p1]
25. ~happy(fred) [input hypothesis]
29. ! [X0] : (brave(X0) | (brave... | 0 |
If someone is funny or not brave then susan is both not generous and not wise. If mary is both tall and curious then someone is funny. If mary is not kind or not funny then someone is either not wise or creative and vice versa. Everyone who is wise is creative or kind and vice versa. If someone is not kind or curious t... | Susan is wise. | neutral | ((?[X]:((funny(X)|~brave(X))))=>((~generous(susan)&~wise(susan))))&
(((tall(mary)&curious(mary)))=>(?[X]:(funny(X))))&
(((~kind(mary)|~funny(mary)))<=>(?[X]:((~wise(X)<~>creative(X)))))&
(![X]:(wise(X)<=>(creative(X)|kind(X))))&
((?[X]:((~kind(X)|curious(X))))<=>(?[X]:((humble(X)&~patient(X)))))&
(![X]:((~curious(X)<~>... | wise(susan) | [] | null | 0 |
If mary is old or not quiet then susan is patient or kind and vice versa.
Everyone who is not humble is both not creative and not old and vice versa.
Everyone who is both quiet and happy is both not creative and old.
Everyone who is both not old and brave is both calm and not wise and vice versa.
Everyone who is humble... | Susan is generous. | contradiction | (((old(mary)|~quiet(mary)))<=>((patient(susan)|kind(susan))))&
(![X]:(~humble(X)<=>(~creative(X)&~old(X))))&
(![X]:((quiet(X)&happy(X))=>(~creative(X)&old(X))))&
(![X]:((~old(X)&brave(X))<=>(calm(X)&~wise(X))))&
(![X]:((humble(X)|~rich(X))<=>(~tall(X)<~>calm(X))))&
(![X]:(~kind(X)=>(strong(X)<~>~happy(X))))&
((?[X]:((t... | generous(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 330719723313200688428528
% SZS output start Proof for 330719723313200688428528
17. ~generous(susan) & happy(susan) [input p16]
24. generous(susan) [input hypothesis]
132. ~generous(susan) [cnf transformation 17]
141. generous(susan) [cnf transformation 24]
299. 36 <=> generous(susan) [ava... | 0 |
Everyone who is generous or curious is either not brave or old and vice versa.
Everyone who is both strong and not creative is not happy or happy and vice versa.
Everyone who is both not patient and not calm is strong or tall.
Everyone who is curious is strong.
Everyone who is patient or not strong is curious and vice ... | John is not happy. | contradiction | (![X]:((generous(X)|curious(X))<=>(~brave(X)<~>old(X))))&
(![X]:((strong(X)&~creative(X))<=>(~happy(X)|happy(X))))&
(![X]:((~patient(X)&~calm(X))=>(strong(X)|tall(X))))&
(![X]:(curious(X)=>strong(X)))&
(![X]:((patient(X)|~strong(X))<=>curious(X)))&
((~quiet(lucy))=>((old(john)<~>quiet(john))))&
(![X]:(~creative(X)=>(~s... | ~happy(john) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1063006174438147243449803
% SZS output start Proof for 1063006174438147243449803
15. (~creative(mary) & curious(mary)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p14]
20. kind(mary) & ~curious(mary) [input p19]
24. ~happy(john) [input hypothesis]
33. ~curious(mary) [pure predicate r... | 0 |
If someone is either not quiet or not tall then someone is both not creative and not tall.
Everyone who is either not strong or creative is strong and vice versa.
If john is both not humble and tall then lucy is not quiet.
If someone is not rich then paul is either not brave or not humble.
Everyone who is happy is not ... | Alice is not humble. | entailment | ((?[X]:((~quiet(X)<~>~tall(X))))=>(?[X]:((~creative(X)&~tall(X)))))&
(![X]:((~strong(X)<~>creative(X))<=>strong(X)))&
(((~humble(john)&tall(john)))=>(~quiet(lucy)))&
((?[X]:(~rich(X)))=>((~brave(paul)<~>~humble(paul))))&
(![X]:(happy(X)=>~curious(X)))&
(((wise(susan)<~>tall(susan)))<=>((~humble(alice)&~funny(alice))))&... | ~humble(alice) | [
"p0",
"p1",
"p5",
"p6",
"p10",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1740817977037929104772414
% SZS output start Proof for 1740817977037929104772414
1. ? [X0] : (~quiet(X0) <~> ~tall(X0)) => ? [X0] : (~tall(X0) & ~creative(X0)) [input p0]
2. ! [X0] : ((~strong(X0) <~> creative(X0)) <=> strong(X0)) [input p1]
6. (wise(susan) <~> tall(susan)) <=> (~funny(al... | 0 |
If someone is calm or happy then alice is happy or not strong.
If someone is not old then mary is both not rich and not calm.
If someone is happy or wise then someone is not curious or quiet and vice versa.
If paul is not wise or not patient then someone is strong.
If paul is either quiet or humble then someone is not ... | Fred is old. | neutral | ((?[X]:((calm(X)|happy(X))))=>((happy(alice)|~strong(alice))))&
((?[X]:(~old(X)))=>((~rich(mary)&~calm(mary))))&
((?[X]:((happy(X)|wise(X))))<=>(?[X]:((~curious(X)|quiet(X)))))&
(((~wise(paul)|~patient(paul)))=>(?[X]:(strong(X))))&
(((quiet(paul)<~>humble(paul)))<=>(?[X]:(~happy(X))))&
(![X]:((strong(X)|~humble(X))<=>(... | old(fred) | [] | null | 0 |
Everyone who is calm or not curious is not brave and vice versa. If someone is both strong and brave then someone is not brave or not kind. Everyone who is quiet or calm is both not humble and wise and vice versa. Everyone who is either not quiet or not happy is not patient. If someone is both happy and funny then some... | Mary is not kind. | entailment | (![X]:((calm(X)|~curious(X))<=>~brave(X)))&
((?[X]:((strong(X)&brave(X))))=>(?[X]:((~brave(X)|~kind(X)))))&
(![X]:((quiet(X)|calm(X))<=>(~humble(X)&wise(X))))&
(![X]:((~quiet(X)<~>~happy(X))=>~patient(X)))&
((?[X]:((happy(X)&funny(X))))=>(?[X]:(strong(X))))&
(![X]:((patient(X)&~rich(X))<=>humble(X)))&
(![X]:((~rich(X)&... | ~kind(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8338539827389042542306508
% SZS output start Proof for 8338539827389042542306508
10. ! [X0] : ((~happy(X0) & happy(X0)) <=> kind(X0)) [input p9]
23. kind(mary) [input hypothesis]
56. ! [X0] : (((~happy(X0) & happy(X0)) | ~kind(X0)) & (kind(X0) | (happy(X0) | ~happy(X0)))) [nnf transformat... | 0 |
If john is either rich or funny then paul is either humble or happy.
If someone is not kind then someone is not rich or not curious and vice versa.
If john is both not strong and not patient then lucy is either not patient or not tall and vice versa.
If someone is wise then paul is rich or not calm.
Everyone who is bot... | Paul is rich. | neutral | (((rich(john)<~>funny(john)))=>((humble(paul)<~>happy(paul))))&
((?[X]:(~kind(X)))<=>(?[X]:((~rich(X)|~curious(X)))))&
(((~strong(john)&~patient(john)))<=>((~patient(lucy)<~>~tall(lucy))))&
((?[X]:(wise(X)))=>((rich(paul)|~calm(paul))))&
(![X]:((kind(X)&~patient(X))<=>(~strong(X)|patient(X))))&
((?[X]:(~calm(X)))<=>(~f... | rich(paul) | [] | null | 0 |
Everyone who is calm or not rich is either creative or happy.
If fred is either not happy or not patient then mary is funny and vice versa.
If john is strong then john is both not generous and rich.
If someone is both not rich and strong then someone is both not calm and strong and vice versa.
If someone is happy or no... | Mary is curious. | neutral | (![X]:((calm(X)|~rich(X))=>(creative(X)<~>happy(X))))&
(((~happy(fred)<~>~patient(fred)))<=>(funny(mary)))&
((strong(john))=>((~generous(john)&rich(john))))&
((?[X]:((~rich(X)&strong(X))))<=>(?[X]:((~calm(X)&strong(X)))))&
((?[X]:((happy(X)|~curious(X))))=>(?[X]:((~quiet(X)<~>old(X)))))&
(![X]:((happy(X)<~>patient(X))=... | curious(mary) | [] | null | 0 |
If susan is either not brave or generous then someone is generous or not brave and vice versa.
If someone is not strong or not calm then someone is tall or calm.
If someone is either brave or not generous then fred is both not happy and happy.
If fred is tall or funny then someone is calm or generous.
If someone is bot... | Lucy is not brave. | contradiction | (((~brave(susan)<~>generous(susan)))<=>(?[X]:((generous(X)|~brave(X)))))&
((?[X]:((~strong(X)|~calm(X))))=>(?[X]:((tall(X)|calm(X)))))&
((?[X]:((brave(X)<~>~generous(X))))=>((~happy(fred)&happy(fred))))&
(((tall(fred)|funny(fred)))=>(?[X]:((calm(X)|generous(X)))))&
((?[X]:((creative(X)&tall(X))))<=>(?[X]:((quiet(X)&~ol... | ~brave(lucy) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5216889076658937140500418
% SZS output start Proof for 5216889076658937140500418
1. (~brave(susan) <~> generous(susan)) <=> ? [X0] : (~brave(X0) | generous(X0)) [input p0]
3. ? [X0] : (brave(X0) <~> ~generous(X0)) => (happy(fred) & ~happy(fred)) [input p2]
24. ~brave(lucy) [input hypothes... | 0 |
If lucy is either not funny or not curious then fred is either not brave or generous and vice versa.
Everyone who is both not generous and curious is both not patient and humble and vice versa.
If fred is either not tall or brave then someone is both funny and brave and vice versa.
Everyone who is not happy or creative... | Fred is not tall. | entailment | (((~funny(lucy)<~>~curious(lucy)))<=>((~brave(fred)<~>generous(fred))))&
(![X]:((~generous(X)&curious(X))<=>(~patient(X)&humble(X))))&
(((~tall(fred)<~>brave(fred)))<=>(?[X]:((funny(X)&brave(X)))))&
(![X]:((~happy(X)|creative(X))<=>~patient(X)))&
(![X]:((brave(X)<~>~curious(X))=>quiet(X)))&
(![X]:((~wise(X)&strong(X))=... | ~tall(fred) | [
"p1",
"p2",
"p4",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4106061296421250261439787
% SZS output start Proof for 4106061296421250261439787
2. ! [X0] : ((curious(X0) & ~generous(X0)) <=> (humble(X0) & ~patient(X0))) [input p1]
3. (~tall(fred) <~> brave(fred)) <=> ? [X0] : (brave(X0) & funny(X0)) [input p2]
5. ! [X0] : ((brave(X0) <~> ~curious(X0)... | 0 |
If mary is both not kind and quiet then someone is quiet or not tall.
Everyone who is not kind or happy is not tall or rich.
Everyone who is both not humble and not curious is not rich and vice versa.
If someone is both not funny and not rich then someone is either not generous or not old.
If someone is not generous or... | Lucy is not brave. | neutral | (((~kind(mary)&quiet(mary)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((~kind(X)|happy(X))=>(~tall(X)|rich(X))))&
(![X]:((~humble(X)&~curious(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(old(X)&happy(X))))... | ~brave(lucy) | [] | null | 0 |
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