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 not quiet is either not curious or not old and vice versa. Everyone who is both not creative and not wise is either funny or not old and vice versa. Everyone who is both humble and tall is either not creative or generous and vice versa. Everyone who is not happy or kind is not old or not kind. Everyone ... | Alice is creative. | neutral | (![X]:(~quiet(X)<=>(~curious(X)<~>~old(X))))&
(![X]:((~creative(X)&~wise(X))<=>(funny(X)<~>~old(X))))&
(![X]:((humble(X)&tall(X))<=>(~creative(X)<~>generous(X))))&
(![X]:((~happy(X)|kind(X))=>(~old(X)|~kind(X))))&
(![X]:((~strong(X)&~funny(X))=>(strong(X)<~>~strong(X))))&
((?[X]:((~quiet(X)<~>old(X))))<=>(?[X]:(brave(X... | creative(alice) | [] | null | 0 |
If alice is not funny then lucy is strong or kind and vice versa.
Everyone who is both patient and not creative is either not old or not patient and vice versa.
Everyone who is both not rich and not kind is humble or not old and vice versa.
If alice is both not brave and generous then susan is either old or not rich an... | Mary is kind. | contradiction | ((~funny(alice))<=>((strong(lucy)|kind(lucy))))&
(![X]:((patient(X)&~creative(X))<=>(~old(X)<~>~patient(X))))&
(![X]:((~rich(X)&~kind(X))<=>(humble(X)|~old(X))))&
(((~brave(alice)&generous(alice)))<=>((old(susan)<~>~rich(susan))))&
((?[X]:(~happy(X)))<=>(?[X]:((~kind(X)|~brave(X)))))&
(((strong(paul)<~>~brave(paul)))<=... | kind(mary) | [
"p1",
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 568914388916402146938131
% SZS output start Proof for 568914388916402146938131
2. ! [X0] : ((~creative(X0) & patient(X0)) <=> (~old(X0) <~> ~patient(X0))) [input p1]
3. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> (~old(X0) | humble(X0))) [input p2]
12. ! [X0] : ((~patient(X0) | ~tall(X0)) <=> (... | 0 |
Everyone who is quiet is tall and vice versa. Everyone who is not wise or happy is both humble and creative. If susan is generous then someone is both patient and curious and vice versa. Everyone who is not calm is rich. Everyone who is both not quiet and tall is not curious. Everyone who is both kind and not curious i... | Fred is humble. | entailment | (![X]:(quiet(X)<=>tall(X)))&
(![X]:((~wise(X)|happy(X))=>(humble(X)&creative(X))))&
((generous(susan))<=>(?[X]:((patient(X)&curious(X)))))&
(![X]:(~calm(X)=>rich(X)))&
(![X]:((~quiet(X)&tall(X))=>~curious(X)))&
(![X]:((kind(X)&~curious(X))=>(~strong(X)&~tall(X))))&
((?[X]:((~old(X)|old(X))))=>((wise(lucy)<~>~old(lucy))... | humble(fred) | [
"p1",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 289408039747085890658758
% SZS output start Proof for 289408039747085890658758
2. ! [X0] : ((happy(X0) | ~wise(X0)) => (creative(X0) & humble(X0))) [input p1]
11. ! [X0] : ((~funny(X0) & strong(X0)) <=> (~happy(X0) <~> strong(X0))) [input p10]
24. ~funny(fred) [input p23]
25. ~humble(fred... | 0 |
If someone is either not tall or kind then someone is both curious and not generous and vice versa. Everyone who is generous or not strong is both tall and creative and vice versa. If someone is quiet then someone is happy or patient. Everyone who is either not funny or brave is either funny or not humble. If someone i... | Fred is calm. | entailment | ((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:((curious(X)&~generous(X)))))&
(![X]:((generous(X)|~strong(X))<=>(tall(X)&creative(X))))&
((?[X]:(quiet(X)))=>(?[X]:((happy(X)|patient(X)))))&
(![X]:((~funny(X)<~>brave(X))=>(funny(X)<~>~humble(X))))&
((?[X]:((~kind(X)|~strong(X))))=>(?[X]:((curious(X)&happy(X)))))&
(((~calm(lucy)... | calm(fred) | [
"p0",
"p4",
"p10",
"p12",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7668989346644472422315907
% SZS output start Proof for 7668989346644472422315907
1. ? [X0] : (~tall(X0) <~> kind(X0)) <=> ? [X0] : (~generous(X0) & curious(X0)) [input p0]
5. ? [X0] : (~strong(X0) | ~kind(X0)) => ? [X0] : (happy(X0) & curious(X0)) [input p4]
11. (calm(fred) | ~rich(fred))... | 0 |
Everyone who is humble is either not curious or not quiet and vice versa.
Everyone who is not calm is not quiet or tall and vice versa.
Everyone who is humble is both creative and kind and vice versa.
If someone is not happy then susan is either brave or rich and vice versa.
Everyone who is calm or not humble is not ha... | John is quiet. | entailment | (![X]:(humble(X)<=>(~curious(X)<~>~quiet(X))))&
(![X]:(~calm(X)<=>(~quiet(X)|tall(X))))&
(![X]:(humble(X)<=>(creative(X)&kind(X))))&
((?[X]:(~happy(X)))<=>((brave(susan)<~>rich(susan))))&
(![X]:((calm(X)|~humble(X))<=>(~happy(X)|~curious(X))))&
(![X]:((~old(X)|~quiet(X))<=>~brave(X)))&
(![X]:(old(X)<=>patient(X)))&
(![... | quiet(john) | [
"p1",
"p6",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5038650036710791521785787
% SZS output start Proof for 5038650036710791521785787
2. ! [X0] : (~calm(X0) <=> (tall(X0) | ~quiet(X0))) [input p1]
7. ! [X0] : (old(X0) <=> patient(X0)) [input p6]
12. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (~patient(X0) | ~quiet(X0))) [input p11]
14. ! [X0] ... | 0 |
Everyone who is not calm or not happy is happy. If someone is both not kind and not brave then alice is both calm and not humble and vice versa. If mary is both not old and not generous then someone is not quiet or not strong and vice versa. Everyone who is either not kind or humble is not strong or not humble. If lucy... | Paul is tall. | entailment | (![X]:((~calm(X)|~happy(X))=>happy(X)))&
((?[X]:((~kind(X)&~brave(X))))<=>((calm(alice)&~humble(alice))))&
(((~old(mary)&~generous(mary)))<=>(?[X]:((~quiet(X)|~strong(X)))))&
(![X]:((~kind(X)<~>humble(X))=>(~strong(X)|~humble(X))))&
(((~rich(lucy)|~quiet(lucy)))=>(?[X]:(~calm(X))))&
(![X]:(~patient(X)<=>(old(X)<~>tall(... | tall(paul) | [
"p0",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4097739711510752408309147
% SZS output start Proof for 4097739711510752408309147
1. ! [X0] : ((~happy(X0) | ~calm(X0)) => happy(X0)) [input p0]
13. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> (~patient(X0) <~> tall(X0))) [input p12]
15. ! [X0] : ((~generous(X0) | generous(X0)) => (patient(X... | 0 |
If someone is both patient and not quiet then mary is both calm and funny and vice versa. Everyone who is either not quiet or not rich is either not patient or happy and vice versa. If john is both not funny and rich then someone is patient and vice versa. If john is both humble and funny then someone is either calm or... | Paul is not wise. | neutral | ((?[X]:((patient(X)&~quiet(X))))<=>((calm(mary)&funny(mary))))&
(![X]:((~quiet(X)<~>~rich(X))<=>(~patient(X)<~>happy(X))))&
(((~funny(john)&rich(john)))<=>(?[X]:(patient(X))))&
(((humble(john)&funny(john)))<=>(?[X]:((calm(X)<~>tall(X)))))&
(((~humble(fred)&~patient(fred)))<=>((generous(john)|~happy(john))))&
(![X]:((~p... | ~wise(paul) | [] | null | 0 |
If someone is either old or not brave then paul is old or not humble.
If susan is either not rich or not creative then susan is both not quiet and funny.
If someone is wise then lucy is either rich or calm and vice versa.
Everyone who is strong or not kind is brave or old.
Everyone who is generous or not generous is bo... | Susan is not patient. | entailment | ((?[X]:((old(X)<~>~brave(X))))=>((old(paul)|~humble(paul))))&
(((~rich(susan)<~>~creative(susan)))=>((~quiet(susan)&funny(susan))))&
((?[X]:(wise(X)))<=>((rich(lucy)<~>calm(lucy))))&
(![X]:((strong(X)|~kind(X))=>(brave(X)|old(X))))&
(![X]:((generous(X)|~generous(X))<=>(~patient(X)&~funny(X))))&
((?[X]:((~humble(X)&funn... | ~patient(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5573789098905106169601035
% SZS output start Proof for 5573789098905106169601035
5. ! [X0] : ((~generous(X0) | generous(X0)) <=> (~funny(X0) & ~patient(X0))) [input p4]
25. patient(susan) [input hypothesis]
43. ! [X0] : (((~generous(X0) | generous(X0)) | (funny(X0) | patient(X0))) & ((~fu... | 0 |
If someone is both not quiet and strong then alice is both not calm and wise.
If fred is either not patient or brave then mary is both happy and not rich.
If john is not creative then paul is creative or old and vice versa.
If susan is not patient then john is not creative.
Everyone who is both not rich and strong is n... | Alice is not brave. | neutral | ((?[X]:((~quiet(X)&strong(X))))=>((~calm(alice)&wise(alice))))&
(((~patient(fred)<~>brave(fred)))=>((happy(mary)&~rich(mary))))&
((~creative(john))<=>((creative(paul)|old(paul))))&
((~patient(susan))=>(~creative(john)))&
(![X]:((~rich(X)&strong(X))<=>~strong(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~curious(X)<~>tall(X)))))&... | ~brave(alice) | [] | null | 0 |
Everyone who is not generous is rich or curious. Everyone who is generous is kind. Everyone who is strong is either strong or patient and vice versa. Everyone who is not rich is not creative or not old. Everyone who is funny is not generous. If someone is curious then someone is old or rich. Everyone who is kind is bot... | Paul is not funny. | neutral | (![X]:(~generous(X)=>(rich(X)|curious(X))))&
(![X]:(generous(X)=>kind(X)))&
(![X]:(strong(X)<=>(strong(X)<~>patient(X))))&
(![X]:(~rich(X)=>(~creative(X)|~old(X))))&
(![X]:(funny(X)=>~generous(X)))&
((?[X]:(curious(X)))=>(?[X]:((old(X)|rich(X)))))&
(![X]:(kind(X)=>(~happy(X)&brave(X))))&
(![X]:((humble(X)<~>quiet(X))=>... | ~funny(paul) | [] | null | 0 |
Everyone who is not quiet or not tall is both not quiet and old and vice versa.
Everyone who is not brave or not humble is not funny.
Everyone who is not generous is not old or wise.
Everyone who is tall is curious or not patient.
Everyone who is both quiet and tall is both wise and calm and vice versa.
Everyone who is... | Paul is not rich. | neutral | (![X]:((~quiet(X)|~tall(X))<=>(~quiet(X)&old(X))))&
(![X]:((~brave(X)|~humble(X))=>~funny(X)))&
(![X]:(~generous(X)=>(~old(X)|wise(X))))&
(![X]:(tall(X)=>(curious(X)|~patient(X))))&
(![X]:((quiet(X)&tall(X))<=>(wise(X)&calm(X))))&
(![X]:((~wise(X)&~kind(X))=>~calm(X)))&
((?[X]:((patient(X)&happy(X))))<=>((curious(paul)... | ~rich(paul) | [] | null | 0 |
Everyone who is tall is either not happy or not humble and vice versa.
Everyone who is both strong and not funny is kind.
If someone is both not calm and patient then someone is not calm and vice versa.
If someone is not quiet then someone is either not generous or rich and vice versa.
If john is both brave and kind th... | John is not strong. | contradiction | (![X]:(tall(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((strong(X)&~funny(X))=>kind(X)))&
((?[X]:((~calm(X)&patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~generous(X)<~>rich(X)))))&
(((brave(john)&kind(john)))=>((patient(paul)|~curious(paul))))&
((?[X]:((~tall(X)|~strong(X))))<=>(humble(john)))&
(![X]:(... | ~strong(john) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2913655293958642186881794
% SZS output start Proof for 2913655293958642186881794
6. ? [X0] : (~strong(X0) | ~tall(X0)) <=> humble(john) [input p5]
11. ? [X0] : humble(X0) => ~humble(john) [input p10]
22. ~strong(john) [input hypothesis]
31. ~humble(john) | ! [X0] : ~humble(X0) [ennf trans... | 0 |
Everyone who is not old or patient is both rich and quiet. Everyone who is brave is both not curious and not kind and vice versa. If paul is not curious then susan is both kind and patient and vice versa. If mary is wise or not curious then someone is creative and vice versa. Everyone who is not funny or generous is hu... | Fred is not curious. | neutral | (![X]:((~old(X)|patient(X))=>(rich(X)&quiet(X))))&
(![X]:(brave(X)<=>(~curious(X)&~kind(X))))&
((~curious(paul))<=>((kind(susan)&patient(susan))))&
(((wise(mary)|~curious(mary)))<=>(?[X]:(creative(X))))&
(![X]:((~funny(X)|generous(X))<=>(humble(X)|~patient(X))))&
(![X]:((quiet(X)|~generous(X))=>~tall(X)))&
(![X]:((~gen... | ~curious(fred) | [] | null | 0 |
If someone is either happy or not generous then paul is either creative or not happy and vice versa. If susan is both creative and not wise then someone is either patient or strong. Everyone who is either not old or not strong is not quiet or not happy. If lucy is strong or curious then paul is not creative and vice ve... | Lucy is rich. | entailment | ((?[X]:((happy(X)<~>~generous(X))))<=>((creative(paul)<~>~happy(paul))))&
(((creative(susan)&~wise(susan)))=>(?[X]:((patient(X)<~>strong(X)))))&
(![X]:((~old(X)<~>~strong(X))=>(~quiet(X)|~happy(X))))&
(((strong(lucy)|curious(lucy)))<=>(~creative(paul)))&
(![X]:((old(X)|~tall(X))=>~strong(X)))&
(![X]:((quiet(X)|~curious... | rich(lucy) | [
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4174663657415141521473545
% SZS output start Proof for 4174663657415141521473545
9. ? [X0] : (humble(X0) <~> rich(X0)) <=> ~wise(lucy) [input p8]
10. ! [X0] : ((humble(X0) & old(X0)) <=> (calm(X0) | ~rich(X0))) [input p9]
12. ! [X0] : ((calm(X0) & ~old(X0)) <=> (~quiet(X0) & ~humble(X0)))... | 0 |
Everyone who is not happy or not calm is either not old or creative and vice versa.
If paul is rich then someone is not old or not happy.
If someone is patient or curious then alice is both not funny and not old and vice versa.
If fred is both wise and not patient then someone is either not strong or not funny and vice... | Alice is not curious. | entailment | (![X]:((~happy(X)|~calm(X))<=>(~old(X)<~>creative(X))))&
((rich(paul))=>(?[X]:((~old(X)|~happy(X)))))&
((?[X]:((patient(X)|curious(X))))<=>((~funny(alice)&~old(alice))))&
(((wise(fred)&~patient(fred)))<=>(?[X]:((~strong(X)<~>~funny(X)))))&
((?[X]:((~kind(X)<~>humble(X))))<=>((happy(paul)&humble(paul))))&
(![X]:(~genero... | ~curious(alice) | [
"p0",
"p2",
"p6",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6553645954651397710616953
% SZS output start Proof for 6553645954651397710616953
1. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> (~old(X0) <~> creative(X0))) [input p0]
3. ? [X0] : (curious(X0) | patient(X0)) <=> (~old(alice) & ~funny(alice)) [input p2]
7. ! [X0] : (~calm(X0) <=> (curious(X0) |... | 0 |
If fred is both not strong and humble then someone is either brave or calm. If someone is not brave or wise then john is either not old or not rich and vice versa. Everyone who is not happy is either not quiet or not calm and vice versa. If someone is both tall and not rich then susan is either not funny or not tall. I... | Susan is not generous. | contradiction | (((~strong(fred)&humble(fred)))=>(?[X]:((brave(X)<~>calm(X)))))&
((?[X]:((~brave(X)|wise(X))))<=>((~old(john)<~>~rich(john))))&
(![X]:(~happy(X)<=>(~quiet(X)<~>~calm(X))))&
((?[X]:((tall(X)&~rich(X))))=>((~funny(susan)<~>~tall(susan))))&
((?[X]:((kind(X)<~>tall(X))))=>(wise(lucy)))&
((?[X]:((creative(X)&happy(X))))<=>(... | ~generous(susan) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 96628552923053777715315
% SZS output start Proof for 96628552923053777715315
13. ! [X0] : ((~generous(X0) <~> ~funny(X0)) <=> (calm(X0) | ~generous(X0))) [input p12]
16. ! [X0] : ((~rich(X0) | rich(X0)) <=> ~funny(X0)) [input p15]
25. ~generous(susan) [input hypothesis]
59. ! [X0] : ((((f... | 0 |
If susan is both not generous and creative then john is not funny or not wise and vice versa.
If lucy is brave then someone is not funny or not old and vice versa.
Everyone who is either not funny or calm is brave.
If someone is both rich and not old then someone is either not happy or not humble.
If someone is both no... | Paul is calm. | entailment | (((~generous(susan)&creative(susan)))<=>((~funny(john)|~wise(john))))&
((brave(lucy))<=>(?[X]:((~funny(X)|~old(X)))))&
(![X]:((~funny(X)<~>calm(X))=>brave(X)))&
((?[X]:((rich(X)&~old(X))))=>(?[X]:((~happy(X)<~>~humble(X)))))&
((?[X]:((~old(X)&~humble(X))))=>(?[X]:((strong(X)&curious(X)))))&
((~rich(lucy))<=>(generous(f... | calm(paul) | [
"p2",
"p9",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4763474203908893145206764
% SZS output start Proof for 4763474203908893145206764
3. ! [X0] : ((~funny(X0) <~> calm(X0)) => brave(X0)) [input p2]
10. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (~kind(X0) <~> funny(X0))) [input p9]
11. ! [X0] : ((kind(X0) | ~kind(X0)) => (~brave(X0) | humble... | 0 |
Everyone who is calm or not old is kind or brave.
Everyone who is both not strong and brave is either not creative or not patient and vice versa.
If someone is creative or curious then alice is both quiet and not strong and vice versa.
Everyone who is both not calm and happy is old or not patient and vice versa.
Everyo... | Lucy is not patient. | neutral | (![X]:((calm(X)|~old(X))=>(kind(X)|brave(X))))&
(![X]:((~strong(X)&brave(X))<=>(~creative(X)<~>~patient(X))))&
((?[X]:((creative(X)|curious(X))))<=>((quiet(alice)&~strong(alice))))&
(![X]:((~calm(X)&happy(X))<=>(old(X)|~patient(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:((~rich(X)|r... | ~patient(lucy) | [] | null | 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... | Paul is wise. | 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... | wise(paul) | [
"p2",
"p6",
"p7",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8977267148487406602831042
% SZS output start Proof for 8977267148487406602831042
3. ! [X0] : ((~quiet(X0) & ~old(X0)) <=> (~calm(X0) | ~creative(X0))) [input p2]
7. ! [X0] : (creative(X0) => (~quiet(X0) <~> ~calm(X0))) [input p6]
8. ! [X0] : (~happy(X0) <=> (old(X0) <~> ~kind(X0))) [input... | 0 |
Everyone who is either not calm or not patient is both tall and brave and vice versa.
If paul is wise or creative then susan is not generous and vice versa.
If alice is not kind then someone is calm and vice versa.
If john is both strong and quiet then someone is not creative or not humble.
Everyone who is not patient ... | John is not calm. | contradiction | (![X]:((~calm(X)<~>~patient(X))<=>(tall(X)&brave(X))))&
(((wise(paul)|creative(paul)))<=>(~generous(susan)))&
((~kind(alice))<=>(?[X]:(calm(X))))&
(((strong(john)&quiet(john)))=>(?[X]:((~creative(X)|~humble(X)))))&
(![X]:(~patient(X)=>(~tall(X)|rich(X))))&
((?[X]:(quiet(X)))<=>(kind(lucy)))&
(![X]:((~brave(X)<~>old(X))... | ~calm(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6064040474998672416523265
% SZS output start Proof for 6064040474998672416523265
12. ! [X0] : (~calm(X0) => (~brave(X0) & brave(X0))) [input p11]
24. ~calm(john) [input hypothesis]
32. ! [X0] : ((~brave(X0) & brave(X0)) | calm(X0)) [ennf transformation 12]
112. brave(X0) | calm(X0) [cnf t... | 0 |
Everyone who is both not kind and curious is either old or not happy and vice versa.
If fred is strong or not curious then john is funny and vice versa.
Everyone who is funny is either not funny or funny and vice versa.
If susan is wise then someone is not rich or creative and vice versa.
Everyone who is curious or cal... | Lucy is calm. | contradiction | (![X]:((~kind(X)&curious(X))<=>(old(X)<~>~happy(X))))&
(((strong(fred)|~curious(fred)))<=>(funny(john)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
(![X]:((curious(X)|calm(X))<=>(wise(X)&old(X))))&
(![X]:((~old(X)<~>old(X))<=>(strong(X)<~>generous(X))))&
(((~curious(... | calm(lucy) | [
"p2",
"p4",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1519485826673331458424785
% SZS output start Proof for 1519485826673331458424785
3. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p2]
5. ! [X0] : ((calm(X0) | curious(X0)) <=> (old(X0) & wise(X0))) [input p4]
7. (~curious(mary) <~> brave(mary)) => ~old(paul) [input p6]
9. (~p... | 0 |
Everyone who is strong or old is calm or brave and vice versa.
Everyone who is both generous and kind is rich.
Everyone who is either not creative or not wise is brave and vice versa.
Everyone who is not generous is not old or patient and vice versa.
If mary is both old and not kind then someone is not creative or not ... | Paul is not tall. | contradiction | (![X]:((strong(X)|old(X))<=>(calm(X)|brave(X))))&
(![X]:((generous(X)&kind(X))=>rich(X)))&
(![X]:((~creative(X)<~>~wise(X))<=>brave(X)))&
(![X]:(~generous(X)<=>(~old(X)|patient(X))))&
(((old(mary)&~kind(mary)))=>(?[X]:((~creative(X)|~happy(X)))))&
((?[X]:(~strong(X)))<=>(quiet(paul)))&
(![X]:((calm(X)&old(X))<=>(~calm(... | ~tall(paul) | [
"p0",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6294001178417547356553278
% SZS output start Proof for 6294001178417547356553278
1. ! [X0] : ((old(X0) | strong(X0)) <=> (brave(X0) | calm(X0))) [input p0]
7. ! [X0] : ((old(X0) & calm(X0)) <=> (~tall(X0) & ~calm(X0))) [input p6]
16. ! [X0] : ((~curious(X0) & tall(X0)) <=> strong(X0)) [in... | 0 |
Everyone who is both humble and not calm is old or not patient. If someone is strong then someone is both not old and not wise. Everyone who is not happy or not generous is not funny and vice versa. Everyone who is either rich or not quiet is happy or patient and vice versa. Everyone who is both not patient and quiet i... | Fred is not patient. | entailment | (![X]:((humble(X)&~calm(X))=>(old(X)|~patient(X))))&
((?[X]:(strong(X)))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((~happy(X)|~generous(X))<=>~funny(X)))&
(![X]:((rich(X)<~>~quiet(X))<=>(happy(X)|patient(X))))&
(![X]:((~patient(X)&quiet(X))<=>(~creative(X)|~strong(X))))&
(![X]:((~generous(X)<~>~funny(X))=>(generous(X)&~bra... | ~patient(fred) | [
"p1",
"p3",
"p4",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4176261522315159234427838
% SZS output start Proof for 4176261522315159234427838
2. ? [X0] : strong(X0) => ? [X0] : (~wise(X0) & ~old(X0)) [input p1]
4. ! [X0] : ((rich(X0) <~> ~quiet(X0)) <=> (patient(X0) | happy(X0))) [input p3]
5. ! [X0] : ((quiet(X0) & ~patient(X0)) <=> (~strong(X0) |... | 0 |
Everyone who is tall is either wise or not happy and vice versa.
If someone is either not curious or not calm then lucy is both not kind and not old.
Everyone who is both not curious and creative is not funny or patient and vice versa.
Everyone who is tall or not strong is either patient or not old and vice versa.
If s... | Fred is not funny. | entailment | (![X]:(tall(X)<=>(wise(X)<~>~happy(X))))&
((?[X]:((~curious(X)<~>~calm(X))))=>((~kind(lucy)&~old(lucy))))&
(![X]:((~curious(X)&creative(X))<=>(~funny(X)|patient(X))))&
(![X]:((tall(X)|~strong(X))<=>(patient(X)<~>~old(X))))&
((?[X]:((~rich(X)|~wise(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
((~humble(fred))=>(?[X]:(calm(X)... | ~funny(fred) | [
"p2",
"p3",
"p11",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3891535460953244981856214
% SZS output start Proof for 3891535460953244981856214
3. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (patient(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | tall(X0)) <=> (patient(X0) <~> ~old(X0))) [input p3]
12. ! [X0] : ((patient(X0) | ~generous(X0... | 0 |
Everyone who is creative or calm is either creative or not wise.
Everyone who is not tall is kind.
Everyone who is either creative or not curious is either not kind or funny and vice versa.
Everyone who is not humble or not happy is strong and vice versa.
Everyone who is not calm or generous is either not generous or c... | Lucy is not creative. | contradiction | (![X]:((creative(X)|calm(X))=>(creative(X)<~>~wise(X))))&
(![X]:(~tall(X)=>kind(X)))&
(![X]:((creative(X)<~>~curious(X))<=>(~kind(X)<~>funny(X))))&
(![X]:((~humble(X)|~happy(X))<=>strong(X)))&
(![X]:((~calm(X)|generous(X))<=>(~generous(X)<~>curious(X))))&
(((~brave(fred)|humble(fred)))<=>(?[X]:((~funny(X)&~humble(X))))... | ~creative(lucy) | [
"p0",
"p4",
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 422102966404030609651211
% SZS output start Proof for 422102966404030609651211
1. ! [X0] : ((calm(X0) | creative(X0)) => (creative(X0) <~> ~wise(X0))) [input p0]
5. ! [X0] : ((generous(X0) | ~calm(X0)) <=> (~generous(X0) <~> curious(X0))) [input p4]
8. ! [X0] : ((curious(X0) | generous(X0... | 0 |
If someone is both humble and not curious then fred is both generous and not kind and vice versa.
Everyone who is not quiet or not generous is either happy or not curious.
If someone is calm then someone is either kind or not rich and vice versa.
Everyone who is both creative and not calm is either old or not old and v... | Fred is humble. | contradiction | ((?[X]:((humble(X)&~curious(X))))<=>((generous(fred)&~kind(fred))))&
(![X]:((~quiet(X)|~generous(X))=>(happy(X)<~>~curious(X))))&
((?[X]:(calm(X)))<=>(?[X]:((kind(X)<~>~rich(X)))))&
(![X]:((creative(X)&~calm(X))<=>(old(X)<~>~old(X))))&
((?[X]:((calm(X)<~>~curious(X))))<=>(?[X]:((~funny(X)|~generous(X)))))&
((?[X]:((~ta... | humble(fred) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2447230081203360056262153
% SZS output start Proof for 2447230081203360056262153
8. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (rich(X0) & humble(X0))) [input p7]
12. ! [X0] : ((humble(X0) | rich(X0)) <=> ~patient(X0)) [input p11]
22. humble(fred) [input hypothesis]
49. ! [X0] : (((patient(X... | 0 |
If someone is both kind and calm then lucy is both not creative and not wise. If fred is both happy and not curious then alice is both generous and not creative and vice versa. If someone is rich or not brave then someone is not tall and vice versa. If someone is not funny or quiet then someone is not quiet. If someone... | John is not creative. | contradiction | ((?[X]:((kind(X)&calm(X))))=>((~creative(lucy)&~wise(lucy))))&
(((happy(fred)&~curious(fred)))<=>((generous(alice)&~creative(alice))))&
((?[X]:((rich(X)|~brave(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((~funny(X)|quiet(X))))=>(?[X]:(~quiet(X))))&
((?[X]:(~old(X)))=>((generous(mary)<~>brave(mary))))&
(![X]:(~curious(X)=>(~gen... | ~creative(john) | [
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8403150539210282295620639
% SZS output start Proof for 8403150539210282295620639
8. ! [X0] : (patient(X0) <=> creative(X0)) [input p7]
11. ! [X0] : ((~calm(X0) | wise(X0)) <=> (patient(X0) & ~kind(X0))) [input p10]
13. ! [X0] : ((generous(X0) | creative(X0)) <=> (~calm(X0) & ~old(X0))) [i... | 0 |
If someone is either calm or not rich then someone is both not rich and brave.
Everyone who is not generous or brave is either curious or happy.
Everyone who is both patient and not strong is curious.
Everyone who is either generous or humble is either not kind or funny.
Everyone who is either not old or brave is calm ... | Paul is not happy. | contradiction | ((?[X]:((calm(X)<~>~rich(X))))=>(?[X]:((~rich(X)&brave(X)))))&
(![X]:((~generous(X)|brave(X))=>(curious(X)<~>happy(X))))&
(![X]:((patient(X)&~strong(X))=>curious(X)))&
(![X]:((generous(X)<~>humble(X))=>(~kind(X)<~>funny(X))))&
(![X]:((~old(X)<~>brave(X))<=>(calm(X)|~old(X))))&
(![X]:((~calm(X)&~happy(X))<=>(~curious(X)... | ~happy(paul) | [
"p0",
"p1",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9092766137554955161115838
% SZS output start Proof for 9092766137554955161115838
1. ? [X0] : (calm(X0) <~> ~rich(X0)) => ? [X0] : (brave(X0) & ~rich(X0)) [input p0]
2. ! [X0] : ((brave(X0) | ~generous(X0)) => (curious(X0) <~> happy(X0))) [input p1]
5. ! [X0] : ((~old(X0) <~> brave(X0)) <=... | 0 |
Everyone who is strong or not curious is curious. If john is both not tall and not kind then someone is both not happy and funny. If fred is happy then someone is either not patient or not wise. If someone is both curious and old then susan is either not patient or creative and vice versa. Everyone who is not generous ... | Alice is curious. | entailment | (![X]:((strong(X)|~curious(X))=>curious(X)))&
(((~tall(john)&~kind(john)))=>(?[X]:((~happy(X)&funny(X)))))&
((happy(fred))=>(?[X]:((~patient(X)<~>~wise(X)))))&
((?[X]:((curious(X)&old(X))))<=>((~patient(susan)<~>creative(susan))))&
(![X]:((~generous(X)|calm(X))=>(~generous(X)<~>~wise(X))))&
(![X]:((quiet(X)|curious(X))... | curious(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4023975685194275906789903
% SZS output start Proof for 4023975685194275906789903
1. ! [X0] : ((~curious(X0) | strong(X0)) => curious(X0)) [input p0]
25. ~curious(alice) [input hypothesis]
32. ! [X0] : (curious(X0) | (curious(X0) & ~strong(X0))) [ennf transformation 1]
76. curious(X0) | cu... | 0 |
If someone is both not wise and wise then lucy is both happy and not calm and vice versa.
If paul is strong or patient then someone is either calm or creative.
Everyone who is both curious and brave is either tall or not humble.
If someone is both old and strong then lucy is both patient and not generous and vice versa... | John is wise. | entailment | ((?[X]:((~wise(X)&wise(X))))<=>((happy(lucy)&~calm(lucy))))&
(((strong(paul)|patient(paul)))=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((curious(X)&brave(X))=>(tall(X)<~>~humble(X))))&
((?[X]:((old(X)&strong(X))))<=>((patient(lucy)&~generous(lucy))))&
(![X]:((~tall(X)|~strong(X))<=>(~generous(X)|humble(X))))&
(![X]:((~... | wise(john) | [
"p4",
"p5",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3566215069160087203422232
% SZS output start Proof for 3566215069160087203422232
5. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (humble(X0) | ~generous(X0))) [input p4]
6. ! [X0] : ((~generous(X0) | ~funny(X0)) => (wise(X0) & ~quiet(X0))) [input p5]
14. ? [X0] : humble(X0) <=> ? [X0] : (~humb... | 0 |
Everyone who is creative is both humble and brave. If someone is both not strong and old then susan is not creative. Everyone who is not strong or quiet is either curious or old. Everyone who is both old and generous is not kind or not rich and vice versa. If alice is tall then someone is either not generous or not ric... | Alice is not kind. | contradiction | (![X]:(creative(X)=>(humble(X)&brave(X))))&
((?[X]:((~strong(X)&old(X))))=>(~creative(susan)))&
(![X]:((~strong(X)|quiet(X))=>(curious(X)<~>old(X))))&
(![X]:((old(X)&generous(X))<=>(~kind(X)|~rich(X))))&
((tall(alice))<=>(?[X]:((~generous(X)<~>~rich(X)))))&
(((funny(fred)&~quiet(fred)))=>((~generous(lucy)<~>~wise(lucy)... | ~kind(alice) | [
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7694426985013814310594270
% SZS output start Proof for 7694426985013814310594270
4. ! [X0] : ((generous(X0) & old(X0)) <=> (~rich(X0) | ~kind(X0))) [input p3]
8. ! [X0] : ((curious(X0) & ~old(X0)) <=> (~brave(X0) | ~wise(X0))) [input p7]
9. ! [X0] : ((patient(X0) | wise(X0)) <=> (patient(... | 0 |
Everyone who is creative or rich is both curious and old and vice versa.
If someone is not old or generous then someone is either not old or strong and vice versa.
If lucy is either curious or generous then someone is not tall.
If paul is quiet or not kind then someone is either wise or not kind and vice versa.
Everyon... | Susan is not humble. | neutral | (![X]:((creative(X)|rich(X))<=>(curious(X)&old(X))))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:((~old(X)<~>strong(X)))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:(~tall(X))))&
(((quiet(paul)|~kind(paul)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((patient(X)&~wise(X))=>strong(X)))&
(![X]:((rich(X)&~quiet(X))<=>(~old(X... | ~humble(susan) | [] | null | 0 |
Everyone who is rich or not generous is humble or strong.
If lucy is calm or not calm then lucy is either funny or not tall.
If susan is either tall or not quiet then someone is not brave or not quiet and vice versa.
If someone is both curious and not tall then someone is not curious.
If alice is both not creative and ... | Mary is not brave. | entailment | (![X]:((rich(X)|~generous(X))=>(humble(X)|strong(X))))&
(((calm(lucy)|~calm(lucy)))=>((funny(lucy)<~>~tall(lucy))))&
(((tall(susan)<~>~quiet(susan)))<=>(?[X]:((~brave(X)|~quiet(X)))))&
((?[X]:((curious(X)&~tall(X))))=>(?[X]:(~curious(X))))&
(((~creative(alice)&~old(alice)))=>((~patient(fred)&~rich(fred))))&
(![X]:((wis... | ~brave(mary) | [
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4373249200226959863524575
% SZS output start Proof for 4373249200226959863524575
6. ! [X0] : ((~brave(X0) & wise(X0)) <=> (creative(X0) | ~funny(X0))) [input p5]
21. creative(mary) | ~brave(mary) [input p20]
25. brave(mary) [input hypothesis]
54. ! [X0] : (((~brave(X0) & wise(X0)) | (~cre... | 0 |
Everyone who is not happy or not curious is either calm or wise.
If someone is either creative or not brave then someone is calm or not generous.
Everyone who is either creative or kind is not old.
Everyone who is generous is either not calm or wise and vice versa.
Everyone who is wise or not humble is not brave or fun... | Lucy is funny. | contradiction | (![X]:((~happy(X)|~curious(X))=>(calm(X)<~>wise(X))))&
((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((creative(X)<~>kind(X))=>~old(X)))&
(![X]:(generous(X)<=>(~calm(X)<~>wise(X))))&
(![X]:((wise(X)|~humble(X))<=>(~brave(X)|funny(X))))&
(![X]:((~quiet(X)|wise(X))<=>(calm(X)&~curious(X))))... | funny(lucy) | [
"p0",
"p3",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5253478606805071246637167
% SZS output start Proof for 5253478606805071246637167
1. ! [X0] : ((~curious(X0) | ~happy(X0)) => (calm(X0) <~> wise(X0))) [input p0]
4. ! [X0] : (generous(X0) <=> (~calm(X0) <~> wise(X0))) [input p3]
6. ! [X0] : ((wise(X0) | ~quiet(X0)) <=> (~curious(X0) & calm... | 0 |
Everyone who is both humble and brave is not patient or old and vice versa.
If someone is both tall and generous then someone is either humble or not funny and vice versa.
If mary is both funny and not patient then mary is both patient and not brave.
If someone is patient then alice is both not brave and kind and vice ... | Alice is happy. | neutral | (![X]:((humble(X)&brave(X))<=>(~patient(X)|old(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((humble(X)<~>~funny(X)))))&
(((funny(mary)&~patient(mary)))=>((patient(mary)&~brave(mary))))&
((?[X]:(patient(X)))<=>((~brave(alice)&kind(alice))))&
((~generous(susan))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:(~kind(X)<=>(~b... | happy(alice) | [] | null | 0 |
Everyone who is either not creative or not generous is not generous and vice versa.
Everyone who is not old is both generous and calm.
If someone is not curious or not humble then paul is either patient or not quiet.
Everyone who is both not humble and not generous is either not rich or not old and vice versa.
If someo... | John is tall. | contradiction | (![X]:((~creative(X)<~>~generous(X))<=>~generous(X)))&
(![X]:(~old(X)=>(generous(X)&calm(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((patient(paul)<~>~quiet(paul))))&
(![X]:((~humble(X)&~generous(X))<=>(~rich(X)<~>~old(X))))&
((?[X]:((~quiet(X)&~brave(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
((?[X]:((generous(X)|tall(X)... | tall(john) | [
"p0",
"p2",
"p5",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1322809474871050850204581
% SZS output start Proof for 1322809474871050850204581
1. ! [X0] : ((~creative(X0) <~> ~generous(X0)) <=> ~generous(X0)) [input p0]
3. ? [X0] : (~humble(X0) | ~curious(X0)) => (patient(paul) <~> ~quiet(paul)) [input p2]
6. ? [X0] : (tall(X0) | generous(X0)) <=> s... | 0 |
Everyone who is not humble or generous is either humble or not humble.
If someone is not happy then fred is funny and vice versa.
Everyone who is both funny and tall is quiet or not curious and vice versa.
Everyone who is both not funny and funny is not quiet.
Everyone who is not brave is strong or creative.
Everyone w... | Mary is strong. | neutral | (![X]:((~humble(X)|generous(X))=>(humble(X)<~>~humble(X))))&
((?[X]:(~happy(X)))<=>(funny(fred)))&
(![X]:((funny(X)&tall(X))<=>(quiet(X)|~curious(X))))&
(![X]:((~funny(X)&funny(X))=>~quiet(X)))&
(![X]:(~brave(X)=>(strong(X)|creative(X))))&
(![X]:((quiet(X)<~>strong(X))<=>(~quiet(X)&tall(X))))&
(![X]:((brave(X)<~>humble... | strong(mary) | [] | null | 0 |
If paul is generous then someone is either not brave or strong and vice versa.
If someone is happy or not strong then fred is not humble.
Everyone who is either rich or not funny is either not creative or not brave.
If someone is generous then someone is both calm and not kind.
If john is not old then lucy is not creat... | Lucy is tall. | entailment | ((generous(paul))<=>(?[X]:((~brave(X)<~>strong(X)))))&
((?[X]:((happy(X)|~strong(X))))=>(~humble(fred)))&
(![X]:((rich(X)<~>~funny(X))=>(~creative(X)<~>~brave(X))))&
((?[X]:(generous(X)))=>(?[X]:((calm(X)&~kind(X)))))&
((~old(john))<=>((~creative(lucy)|creative(lucy))))&
(![X]:(funny(X)=>(~humble(X)&~generous(X))))&
(!... | tall(lucy) | [
"p2",
"p5",
"p9",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5348384218443926436539760
% SZS output start Proof for 5348384218443926436539760
3. ! [X0] : ((rich(X0) <~> ~funny(X0)) => (~creative(X0) <~> ~brave(X0))) [input p2]
6. ! [X0] : (funny(X0) => (~generous(X0) & ~humble(X0))) [input p5]
10. ! [X0] : (tall(X0) <=> creative(X0)) [input p9]
13.... | 0 |
Everyone who is not calm is calm or wise and vice versa.
Everyone who is not old or funny is either not old or not curious.
If mary is not curious then someone is both not patient and old.
If fred is brave then someone is either not funny or kind and vice versa.
Everyone who is calm is either not generous or creative.
... | Mary is not wise. | contradiction | (![X]:(~calm(X)<=>(calm(X)|wise(X))))&
(![X]:((~old(X)|funny(X))=>(~old(X)<~>~curious(X))))&
((~curious(mary))=>(?[X]:((~patient(X)&old(X)))))&
((brave(fred))<=>(?[X]:((~funny(X)<~>kind(X)))))&
(![X]:(calm(X)=>(~generous(X)<~>creative(X))))&
(((~happy(paul)<~>old(paul)))=>((generous(john)&creative(john))))&
(![X]:((str... | ~wise(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4042348548859816494376670
% SZS output start Proof for 4042348548859816494376670
1. ! [X0] : (~calm(X0) <=> (wise(X0) | calm(X0))) [input p0]
24. ~wise(mary) [input hypothesis]
35. ! [X0] : ((~calm(X0) | (~wise(X0) & ~calm(X0))) & ((wise(X0) | calm(X0)) | calm(X0))) [nnf transformation 1]... | 0 |
Everyone who is tall is either generous or wise. Everyone who is either not humble or not rich is happy or funny and vice versa. If someone is either old or not wise then paul is creative or wise. Everyone who is generous is both not strong and creative. Everyone who is old is both not rich and happy and vice versa. If... | Fred is not quiet. | contradiction | (![X]:(tall(X)=>(generous(X)<~>wise(X))))&
(![X]:((~humble(X)<~>~rich(X))<=>(happy(X)|funny(X))))&
((?[X]:((old(X)<~>~wise(X))))=>((creative(paul)|wise(paul))))&
(![X]:(generous(X)=>(~strong(X)&creative(X))))&
(![X]:(old(X)<=>(~rich(X)&happy(X))))&
((?[X]:(~old(X)))=>(?[X]:((~quiet(X)&~rich(X)))))&
(![X]:(quiet(X)<=>~f... | ~quiet(fred) | [
"p1",
"p5",
"p6",
"p7",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 98157587820239641264423
% SZS output start Proof for 98157587820239641264423
2. ! [X0] : ((~humble(X0) <~> ~rich(X0)) <=> (funny(X0) | happy(X0))) [input p1]
6. ? [X0] : ~old(X0) => ? [X0] : (~rich(X0) & ~quiet(X0)) [input p5]
7. ! [X0] : (quiet(X0) <=> ~funny(X0)) [input p6]
8. ! [X0] : ... | 0 |
If someone is patient or not quiet then someone is wise and vice versa. Everyone who is kind or not strong is either generous or not kind. Everyone who is not quiet or not rich is both not happy and not patient. Everyone who is not old or not wise is either rich or not tall and vice versa. If someone is both brave and ... | Mary is not rich. | contradiction | ((?[X]:((patient(X)|~quiet(X))))<=>(?[X]:(wise(X))))&
(![X]:((kind(X)|~strong(X))=>(generous(X)<~>~kind(X))))&
(![X]:((~quiet(X)|~rich(X))=>(~happy(X)&~patient(X))))&
(![X]:((~old(X)|~wise(X))<=>(rich(X)<~>~tall(X))))&
((?[X]:((brave(X)&tall(X))))<=>(?[X]:((~wise(X)&~creative(X)))))&
(![X]:(curious(X)<=>~happy(X)))&
(!... | ~rich(mary) | [
"p1",
"p2",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2506024736536698395100809
% SZS output start Proof for 2506024736536698395100809
2. ! [X0] : ((~strong(X0) | kind(X0)) => (generous(X0) <~> ~kind(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | ~quiet(X0)) => (~patient(X0) & ~happy(X0))) [input p2]
6. ! [X0] : (curious(X0) <=> ~happy(X0)) [inp... | 0 |
If someone is creative then someone is either tall or quiet.
Everyone who is happy is either funny or patient and vice versa.
Everyone who is tall is rich.
If john is either not patient or kind then someone is not creative and vice versa.
Everyone who is patient is both not curious and strong and vice versa.
Everyone w... | John is calm. | neutral | ((?[X]:(creative(X)))=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:(happy(X)<=>(funny(X)<~>patient(X))))&
(![X]:(tall(X)=>rich(X)))&
(((~patient(john)<~>kind(john)))<=>(?[X]:(~creative(X))))&
(![X]:(patient(X)<=>(~curious(X)&strong(X))))&
(![X]:(strong(X)<=>happy(X)))&
((curious(paul))=>(?[X]:(~happy(X))))&
((?[X]:((funny(X)... | calm(john) | [] | null | 0 |
Everyone who is either happy or not strong is both not funny and brave.
If mary is funny then someone is not kind and vice versa.
Everyone who is kind or not quiet is both tall and creative and vice versa.
Everyone who is either calm or not funny is both generous and not wise and vice versa.
Everyone who is quiet or ha... | Susan is creative. | neutral | (![X]:((happy(X)<~>~strong(X))=>(~funny(X)&brave(X))))&
((funny(mary))<=>(?[X]:(~kind(X))))&
(![X]:((kind(X)|~quiet(X))<=>(tall(X)&creative(X))))&
(![X]:((calm(X)<~>~funny(X))<=>(generous(X)&~wise(X))))&
(![X]:((quiet(X)|happy(X))<=>(wise(X)&generous(X))))&
(![X]:((generous(X)&~quiet(X))=>(~kind(X)<~>generous(X))))&
((... | creative(susan) | [] | null | 0 |
Everyone who is not funny or rich is either rich or brave.
Everyone who is both not generous and wise is both tall and not curious.
Everyone who is not brave or patient is humble.
Everyone who is happy or rich is either calm or creative.
If someone is humble or not funny then someone is not tall or wise and vice versa.... | Susan is not humble. | neutral | (![X]:((~funny(X)|rich(X))=>(rich(X)<~>brave(X))))&
(![X]:((~generous(X)&wise(X))=>(tall(X)&~curious(X))))&
(![X]:((~brave(X)|patient(X))=>humble(X)))&
(![X]:((happy(X)|rich(X))=>(calm(X)<~>creative(X))))&
((?[X]:((humble(X)|~funny(X))))<=>(?[X]:((~tall(X)|wise(X)))))&
(((~kind(john)&~tall(john)))=>(?[X]:(~patient(X)))... | ~humble(susan) | [] | null | 0 |
If alice is both not generous and strong then alice is either not wise or not generous and vice versa.
If john is both funny and strong then fred is curious or not strong.
Everyone who is wise or not rich is both patient and not patient and vice versa.
Everyone who is calm is curious or generous.
Everyone who is quiet ... | Paul is not wise. | entailment | (((~generous(alice)&strong(alice)))<=>((~wise(alice)<~>~generous(alice))))&
(((funny(john)&strong(john)))=>((curious(fred)|~strong(fred))))&
(![X]:((wise(X)|~rich(X))<=>(patient(X)&~patient(X))))&
(![X]:(calm(X)=>(curious(X)|generous(X))))&
(![X]:((quiet(X)|rich(X))=>(~wise(X)<~>happy(X))))&
(![X]:(calm(X)<=>(funny(X)<... | ~wise(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5204589046420362648421728
% SZS output start Proof for 5204589046420362648421728
3. ! [X0] : ((~rich(X0) | wise(X0)) <=> (~patient(X0) & patient(X0))) [input p2]
23. wise(paul) [input hypothesis]
38. ! [X0] : (((~rich(X0) | wise(X0)) | (patient(X0) | ~patient(X0))) & ((~patient(X0) & pati... | 0 |
If mary is not happy or curious then someone is strong or not tall. Everyone who is both calm and happy is both strong and not tall and vice versa. Everyone who is rich is both wise and kind and vice versa. Everyone who is not creative or not humble is funny and vice versa. Everyone who is either curious or kind is bra... | Alice is happy. | neutral | (((~happy(mary)|curious(mary)))=>(?[X]:((strong(X)|~tall(X)))))&
(![X]:((calm(X)&happy(X))<=>(strong(X)&~tall(X))))&
(![X]:(rich(X)<=>(wise(X)&kind(X))))&
(![X]:((~creative(X)|~humble(X))<=>funny(X)))&
(![X]:((curious(X)<~>kind(X))<=>brave(X)))&
(![X]:((wise(X)|curious(X))=>(humble(X)|~calm(X))))&
(((quiet(lucy)|brave(... | happy(alice) | [] | null | 0 |
Everyone who is either not strong or not rich is either not generous or old and vice versa. If mary is kind or not strong then someone is not creative. If paul is either creative or tall then alice is both kind and not kind and vice versa. Everyone who is not happy or curious is kind or not curious. Everyone who is bot... | Paul is humble. | contradiction | (![X]:((~strong(X)<~>~rich(X))<=>(~generous(X)<~>old(X))))&
(((kind(mary)|~strong(mary)))=>(?[X]:(~creative(X))))&
(((creative(paul)<~>tall(paul)))<=>((kind(alice)&~kind(alice))))&
(![X]:((~happy(X)|curious(X))=>(kind(X)|~curious(X))))&
(![X]:((quiet(X)&brave(X))=>(patient(X)<~>~old(X))))&
((?[X]:((patient(X)<~>~quiet(... | humble(paul) | [
"p2",
"p6",
"p8",
"p10",
"p11",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1152729468830599306319375
% SZS output start Proof for 1152729468830599306319375
3. (creative(paul) <~> tall(paul)) <=> (~kind(alice) & kind(alice)) [input p2]
7. ! [X0] : (funny(X0) => (humble(X0) <~> ~generous(X0))) [input p6]
9. ! [X0] : ((~creative(X0) | kind(X0)) <=> ~generous(X0)) [... | 0 |
Everyone who is not strong or not kind is rich. Everyone who is both not patient and generous is either not creative or humble. If someone is either not quiet or old then someone is not happy or tall and vice versa. If fred is both not strong and old then paul is either not humble or not kind. If susan is curious or no... | John is tall. | entailment | (![X]:((~strong(X)|~kind(X))=>rich(X)))&
(![X]:((~patient(X)&generous(X))=>(~creative(X)<~>humble(X))))&
((?[X]:((~quiet(X)<~>old(X))))<=>(?[X]:((~happy(X)|tall(X)))))&
(((~strong(fred)&old(fred)))=>((~humble(paul)<~>~kind(paul))))&
(((curious(susan)|~wise(susan)))=>(?[X]:((kind(X)|~rich(X)))))&
(((wise(mary)|~wise(mar... | tall(john) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1917964404836836615160517
% SZS output start Proof for 1917964404836836615160517
24. tall(john) [input p23]
25. ~tall(john) [input hypothesis]
144. tall(john) [cnf transformation 24]
145. ~tall(john) [cnf transformation 25]
337. $false [subsumption resolution 145,144]
% SZS output end Pro... | 0 |
Everyone who is both not wise and not brave is not quiet or not old and vice versa.
If lucy is either not strong or quiet then someone is either brave or not generous.
Everyone who is not creative or not strong is quiet and vice versa.
Everyone who is either not brave or strong is not calm.
If someone is either not kin... | Fred is kind. | neutral | (![X]:((~wise(X)&~brave(X))<=>(~quiet(X)|~old(X))))&
(((~strong(lucy)<~>quiet(lucy)))=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((~creative(X)|~strong(X))<=>quiet(X)))&
(![X]:((~brave(X)<~>strong(X))=>~calm(X)))&
((?[X]:((~kind(X)<~>~patient(X))))=>(?[X]:((~strong(X)<~>~patient(X)))))&
(![X]:((~old(X)|brave(X))<=>(~t... | kind(fred) | [] | null | 0 |
Everyone who is not strong or not brave is happy and vice versa.
If paul is both not curious and strong then someone is both not humble and happy.
If paul is both calm and not old then someone is curious and vice versa.
Everyone who is not wise is not quiet.
If someone is quiet or not strong then someone is both not qu... | Lucy is not wise. | contradiction | (![X]:((~strong(X)|~brave(X))<=>happy(X)))&
(((~curious(paul)&strong(paul)))=>(?[X]:((~humble(X)&happy(X)))))&
(((calm(paul)&~old(paul)))<=>(?[X]:(curious(X))))&
(![X]:(~wise(X)=>~quiet(X)))&
((?[X]:((quiet(X)|~strong(X))))<=>(?[X]:((~quiet(X)&~calm(X)))))&
(((humble(paul)|~kind(paul)))<=>(?[X]:((funny(X)<~>old(X)))))&... | ~wise(lucy) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8198522616505810937215769
% SZS output start Proof for 8198522616505810937215769
8. ! [X0] : ((~happy(X0) & ~wise(X0)) <=> (curious(X0) & ~curious(X0))) [input p7]
12. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~happy(X0) & ~generous(X0))) [input p11]
25. ~wise(lucy) [input hypothesis]... | 0 |
If mary is not quiet or not old then someone is not generous or strong and vice versa. Everyone who is either not wise or tall is either not funny or patient and vice versa. If john is both not humble and not curious then john is brave. Everyone who is strong is both funny and wise and vice versa. If someone is brave o... | John is curious. | neutral | (((~quiet(mary)|~old(mary)))<=>(?[X]:((~generous(X)|strong(X)))))&
(![X]:((~wise(X)<~>tall(X))<=>(~funny(X)<~>patient(X))))&
(((~humble(john)&~curious(john)))=>(brave(john)))&
(![X]:(strong(X)<=>(funny(X)&wise(X))))&
((?[X]:((brave(X)|creative(X))))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:((~strong(X)|~creative(X))=>o... | curious(john) | [] | null | 0 |
Everyone who is either not generous or not quiet is not generous or curious and vice versa.
If someone is both happy and not old then mary is both brave and not curious and vice versa.
If someone is brave or not curious then someone is either quiet or not old.
If alice is both kind and not humble then someone is brave ... | Mary is not tall. | contradiction | (![X]:((~generous(X)<~>~quiet(X))<=>(~generous(X)|curious(X))))&
((?[X]:((happy(X)&~old(X))))<=>((brave(mary)&~curious(mary))))&
((?[X]:((brave(X)|~curious(X))))=>(?[X]:((quiet(X)<~>~old(X)))))&
(((kind(alice)&~humble(alice)))<=>(?[X]:(brave(X))))&
((?[X]:(patient(X)))=>(?[X]:((happy(X)|~quiet(X)))))&
(![X]:((calm(X)<~... | ~tall(mary) | [
"p0",
"p1",
"p6",
"p7",
"p10",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1364306401348006200183157
% SZS output start Proof for 1364306401348006200183157
1. ! [X0] : ((~generous(X0) <~> ~quiet(X0)) <=> (curious(X0) | ~generous(X0))) [input p0]
2. ? [X0] : (~old(X0) & happy(X0)) <=> (~curious(mary) & brave(mary)) [input p1]
7. ! [X0] : ((rich(X0) & ~creative(X0... | 0 |
Everyone who is both generous and strong is not generous or not curious and vice versa. If alice is kind or curious then alice is either not calm or not curious and vice versa. If fred is both humble and not calm then someone is not curious. If someone is not creative or not happy then someone is either kind or brave a... | Alice is not calm. | neutral | (![X]:((generous(X)&strong(X))<=>(~generous(X)|~curious(X))))&
(((kind(alice)|curious(alice)))<=>((~calm(alice)<~>~curious(alice))))&
(((humble(fred)&~calm(fred)))=>(?[X]:(~curious(X))))&
((?[X]:((~creative(X)|~happy(X))))<=>(?[X]:((kind(X)<~>brave(X)))))&
((?[X]:((~creative(X)<~>strong(X))))<=>(?[X]:((quiet(X)&~calm(X... | ~calm(alice) | [] | null | 0 |
If someone is not strong or curious then someone is curious or not funny and vice versa.
Everyone who is creative or brave is both not funny and not strong.
Everyone who is both patient and not brave is not happy and vice versa.
Everyone who is not quiet or not patient is not funny or not wise and vice versa.
If alice ... | Susan is patient. | contradiction | ((?[X]:((~strong(X)|curious(X))))<=>(?[X]:((curious(X)|~funny(X)))))&
(![X]:((creative(X)|brave(X))=>(~funny(X)&~strong(X))))&
(![X]:((patient(X)&~brave(X))<=>~happy(X)))&
(![X]:((~quiet(X)|~patient(X))<=>(~funny(X)|~wise(X))))&
(((calm(alice)|~rich(alice)))=>(?[X]:((~strong(X)<~>~patient(X)))))&
(![X]:((humble(X)&rich... | patient(susan) | [
"p1",
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4997323787067429552406545
% SZS output start Proof for 4997323787067429552406545
2. ! [X0] : ((brave(X0) | creative(X0)) => (~strong(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((~brave(X0) & patient(X0)) <=> ~happy(X0)) [input p2]
8. ! [X0] : (~happy(X0) <=> (~brave(X0) <~> ~funny(X0))) [i... | 0 |
If mary is either old or not rich then alice is both generous and quiet.
If paul is both strong and not patient then john is either humble or not old and vice versa.
If someone is both not tall and happy then someone is brave or generous.
Everyone who is not funny or rich is generous or not kind.
Everyone who is either... | Alice is not generous. | contradiction | (((old(mary)<~>~rich(mary)))=>((generous(alice)&quiet(alice))))&
(((strong(paul)&~patient(paul)))<=>((humble(john)<~>~old(john))))&
((?[X]:((~tall(X)&happy(X))))=>(?[X]:((brave(X)|generous(X)))))&
(![X]:((~funny(X)|rich(X))=>(generous(X)|~kind(X))))&
(![X]:((~strong(X)<~>~patient(X))=>(humble(X)|rich(X))))&
(((~brave(l... | ~generous(alice) | [
"p3",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8028375005517636886502331
% SZS output start Proof for 8028375005517636886502331
4. ! [X0] : ((rich(X0) | ~funny(X0)) => (~kind(X0) | generous(X0))) [input p3]
8. ! [X0] : (~rich(X0) => (~creative(X0) & creative(X0))) [input p7]
9. ! [X0] : ((creative(X0) <~> old(X0)) <=> (creative(X0) | ... | 0 |
If someone is not happy or not creative then someone is not quiet or not humble and vice versa.
If someone is not calm or not curious then john is either not happy or not brave and vice versa.
Everyone who is either kind or humble is both patient and not old and vice versa.
Everyone who is happy is not funny and vice v... | Lucy is wise. | neutral | ((?[X]:((~happy(X)|~creative(X))))<=>(?[X]:((~quiet(X)|~humble(X)))))&
((?[X]:((~calm(X)|~curious(X))))<=>((~happy(john)<~>~brave(john))))&
(![X]:((kind(X)<~>humble(X))<=>(patient(X)&~old(X))))&
(![X]:(happy(X)<=>~funny(X)))&
(![X]:((~generous(X)&quiet(X))<=>(calm(X)|~wise(X))))&
((?[X]:((~humble(X)&strong(X))))=>(~cre... | wise(lucy) | [] | null | 0 |
If fred is either wise or not strong then someone is either not funny or not patient and vice versa. Everyone who is either not humble or not calm is both patient and not funny and vice versa. If someone is creative then lucy is either wise or not calm and vice versa. Everyone who is not generous is either not curious ... | Lucy is quiet. | contradiction | (((wise(fred)<~>~strong(fred)))<=>(?[X]:((~funny(X)<~>~patient(X)))))&
(![X]:((~humble(X)<~>~calm(X))<=>(patient(X)&~funny(X))))&
((?[X]:(creative(X)))<=>((wise(lucy)<~>~calm(lucy))))&
(![X]:(~generous(X)=>(~curious(X)<~>curious(X))))&
(![X]:((humble(X)&~strong(X))=>~generous(X)))&
(![X]:((rich(X)|~rich(X))<=>(tall(X)<... | quiet(lucy) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1416278981979227956340465
% SZS output start Proof for 1416278981979227956340465
6. ! [X0] : ((~rich(X0) | rich(X0)) <=> (tall(X0) <~> ~quiet(X0))) [input p5]
8. ! [X0] : ((old(X0) & ~old(X0)) <=> (~rich(X0) | tall(X0))) [input p7]
25. quiet(lucy) [input hypothesis]
49. ! [X0] : (((~rich(... | 0 |
Everyone who is both not curious and kind is not strong or tall.
Everyone who is funny or creative is both not strong and tall.
Everyone who is not brave or not patient is not funny.
Everyone who is happy or not tall is either not generous or generous and vice versa.
Everyone who is happy or brave is rich and vice vers... | Paul is not creative. | neutral | (![X]:((~curious(X)&kind(X))=>(~strong(X)|tall(X))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~patient(X))=>~funny(X)))&
(![X]:((happy(X)|~tall(X))<=>(~generous(X)<~>generous(X))))&
(![X]:((happy(X)|brave(X))<=>rich(X)))&
(![X]:((curious(X)|kind(X))=>(~old(X)&~curious(X))))&
(((strong(p... | ~creative(paul) | [] | null | 0 |
Everyone who is both not happy and funny is quiet or rich and vice versa. Everyone who is tall or humble is both not calm and funny. If alice is generous then someone is either quiet or not happy. Everyone who is rich or not generous is either not calm or not strong. If susan is not brave then someone is curious. If fr... | Fred is not rich. | entailment | (![X]:((~happy(X)&funny(X))<=>(quiet(X)|rich(X))))&
(![X]:((tall(X)|humble(X))=>(~calm(X)&funny(X))))&
((generous(alice))=>(?[X]:((quiet(X)<~>~happy(X)))))&
(![X]:((rich(X)|~generous(X))=>(~calm(X)<~>~strong(X))))&
((~brave(susan))=>(?[X]:(curious(X))))&
((~rich(fred))<=>(?[X]:((~tall(X)|~happy(X)))))&
((?[X]:((~rich(X... | ~rich(fred) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1806836270658492767150136
% SZS output start Proof for 1806836270658492767150136
1. ! [X0] : ((funny(X0) & ~happy(X0)) <=> (rich(X0) | quiet(X0))) [input p0]
11. ! [X0] : (~happy(X0) <=> (patient(X0) & ~rich(X0))) [input p10]
23. rich(fred) [input hypothesis]
34. ! [X0] : (((funny(X0) & ~... | 0 |
Everyone who is happy is both not kind and happy and vice versa.
If lucy is both not brave and tall then john is curious.
If someone is not kind then someone is not quiet and vice versa.
If someone is either not calm or not brave then someone is not curious or not tall and vice versa.
If john is quiet or old then someo... | Alice is generous. | contradiction | (![X]:(happy(X)<=>(~kind(X)&happy(X))))&
(((~brave(lucy)&tall(lucy)))=>(curious(john)))&
((?[X]:(~kind(X)))<=>(?[X]:(~quiet(X))))&
((?[X]:((~calm(X)<~>~brave(X))))<=>(?[X]:((~curious(X)|~tall(X)))))&
(((quiet(john)|old(john)))<=>(?[X]:((generous(X)&creative(X)))))&
(![X]:((funny(X)<~>quiet(X))=>(creative(X)|~humble(X))... | generous(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2390929502170857941819264
% SZS output start Proof for 2390929502170857941819264
17. ~generous(alice) & old(alice) [input p16]
23. generous(alice) [input hypothesis]
144. ~generous(alice) [cnf transformation 17]
154. generous(alice) [cnf transformation 23]
389. $false [subsumption resolut... | 0 |
Everyone who is both not happy and quiet is both not tall and curious. Everyone who is rich or tall is not brave. Everyone who is generous is old and vice versa. Everyone who is not brave is not old or not happy. If someone is both not funny and old then someone is not curious. Everyone who is rich is either humble or ... | Susan is quiet. | contradiction | (![X]:((~happy(X)&quiet(X))=>(~tall(X)&curious(X))))&
(![X]:((rich(X)|tall(X))=>~brave(X)))&
(![X]:(generous(X)<=>old(X)))&
(![X]:(~brave(X)=>(~old(X)|~happy(X))))&
((?[X]:((~funny(X)&old(X))))=>(?[X]:(~curious(X))))&
(![X]:(rich(X)=>(humble(X)<~>wise(X))))&
(![X]:(patient(X)<=>(~calm(X)|humble(X))))&
(((creative(lucy)... | quiet(susan) | [
"p0",
"p1",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7793813288997703550772367
% SZS output start Proof for 7793813288997703550772367
1. ! [X0] : ((quiet(X0) & ~happy(X0)) => (curious(X0) & ~tall(X0))) [input p0]
2. ! [X0] : ((tall(X0) | rich(X0)) => ~brave(X0)) [input p1]
8. (~creative(lucy) & creative(lucy)) <=> ? [X0] : (~tall(X0) & brav... | 0 |
Everyone who is either not tall or not humble is either quiet or wise. If susan is either tall or not rich then someone is either not happy or creative. If alice is both not funny and not kind then someone is not old and vice versa. Everyone who is brave is not kind and vice versa. Everyone who is both curious and not ... | Mary is not tall. | neutral | (![X]:((~tall(X)<~>~humble(X))=>(quiet(X)<~>wise(X))))&
(((tall(susan)<~>~rich(susan)))=>(?[X]:((~happy(X)<~>creative(X)))))&
(((~funny(alice)&~kind(alice)))<=>(?[X]:(~old(X))))&
(![X]:(brave(X)<=>~kind(X)))&
(![X]:((curious(X)&~funny(X))=>(curious(X)|happy(X))))&
(![X]:((brave(X)|calm(X))<=>(~brave(X)&~quiet(X))))&
((... | ~tall(mary) | [] | null | 0 |
If someone is quiet or patient then fred is funny or wise and vice versa.
Everyone who is either rich or not rich is not happy and vice versa.
If someone is not humble or not creative then someone is tall or brave and vice versa.
If paul is either not brave or tall then fred is not calm or humble and vice versa.
If som... | Lucy is not humble. | contradiction | ((?[X]:((quiet(X)|patient(X))))<=>((funny(fred)|wise(fred))))&
(![X]:((rich(X)<~>~rich(X))<=>~happy(X)))&
((?[X]:((~humble(X)|~creative(X))))<=>(?[X]:((tall(X)|brave(X)))))&
(((~brave(paul)<~>tall(paul)))<=>((~calm(fred)|humble(fred))))&
((?[X]:((humble(X)<~>~strong(X))))=>(?[X]:(brave(X))))&
(((patient(mary)&happy(mar... | ~humble(lucy) | [
"p1",
"p5",
"p7",
"p10",
"p11",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5655219742404660623580999
% SZS output start Proof for 5655219742404660623580999
2. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> ~happy(X0)) [input p1]
6. (happy(mary) & patient(mary)) <=> ? [X0] : (~quiet(X0) & calm(X0)) [input p5]
8. ! [X0] : (~wise(X0) => (~quiet(X0) & ~calm(X0))) [input p7]... | 0 |
Everyone who is not patient or not calm is either generous or tall and vice versa. Everyone who is either not wise or generous is either not old or funny. Everyone who is not wise is not brave or happy and vice versa. Everyone who is both wise and not kind is strong or not brave. Everyone who is either not creative or ... | Alice is generous. | contradiction | (![X]:((~patient(X)|~calm(X))<=>(generous(X)<~>tall(X))))&
(![X]:((~wise(X)<~>generous(X))=>(~old(X)<~>funny(X))))&
(![X]:(~wise(X)<=>(~brave(X)|happy(X))))&
(![X]:((wise(X)&~kind(X))=>(strong(X)|~brave(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(humble(X)|~patient(X))))&
(![X]:(~old(X)<=>(~brave(X)&old(X))))&
(![X]:((pa... | generous(alice) | [
"p0",
"p1",
"p2",
"p5",
"p8",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8619212876336793697674934
% SZS output start Proof for 8619212876336793697674934
1. ! [X0] : ((~calm(X0) | ~patient(X0)) <=> (generous(X0) <~> tall(X0))) [input p0]
2. ! [X0] : ((~wise(X0) <~> generous(X0)) => (~old(X0) <~> funny(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (happy(X0) | ~b... | 0 |
Everyone who is not calm is old and vice versa.
If paul is strong then lucy is both quiet and strong and vice versa.
Everyone who is either old or not creative is both calm and curious.
If someone is either not rich or not wise then someone is both creative and curious and vice versa.
If someone is both wise and not fu... | Alice is tall. | entailment | (![X]:(~calm(X)<=>old(X)))&
((strong(paul))<=>((quiet(lucy)&strong(lucy))))&
(![X]:((old(X)<~>~creative(X))=>(calm(X)&curious(X))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>(?[X]:((creative(X)&curious(X)))))&
((?[X]:((wise(X)&~funny(X))))=>(?[X]:((~happy(X)&kind(X)))))&
(![X]:((~strong(X)<~>~brave(X))<=>(old(X)|~brave(X))))&... | tall(alice) | [
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4956577853548602077188468
% SZS output start Proof for 4956577853548602077188468
11. ! [X0] : ((tall(X0) & generous(X0)) <=> (~creative(X0) | funny(X0))) [input p10]
18. funny(alice) [input p17]
25. ~tall(alice) [input hypothesis]
60. ! [X0] : (((tall(X0) & generous(X0)) | (creative(X0) &... | 0 |
Everyone who is both creative and not curious is strong or not strong and vice versa.
Everyone who is either not strong or not tall is not humble or not patient and vice versa.
If mary is not rich or not calm then someone is brave.
Everyone who is not wise or tall is tall and vice versa.
Everyone who is either humble o... | Fred is calm. | neutral | (![X]:((creative(X)&~curious(X))<=>(strong(X)|~strong(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>(~humble(X)|~patient(X))))&
(((~rich(mary)|~calm(mary)))=>(?[X]:(brave(X))))&
(![X]:((~wise(X)|tall(X))<=>tall(X)))&
(![X]:((humble(X)<~>tall(X))=>(brave(X)&~kind(X))))&
((?[X]:(~old(X)))<=>(?[X]:((creative(X)&happy(X)))))&
((... | calm(fred) | [] | null | 0 |
Everyone who is quiet or not patient is both not quiet and curious. If mary is curious or not tall then mary is quiet and vice versa. If john is not humble then someone is both not tall and funny. Everyone who is both not funny and not old is both not strong and happy and vice versa. Everyone who is not patient is both... | Mary is humble. | neutral | (![X]:((quiet(X)|~patient(X))=>(~quiet(X)&curious(X))))&
(((curious(mary)|~tall(mary)))<=>(quiet(mary)))&
((~humble(john))=>(?[X]:((~tall(X)&funny(X)))))&
(![X]:((~funny(X)&~old(X))<=>(~strong(X)&happy(X))))&
(![X]:(~patient(X)<=>(~tall(X)&~calm(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~creative(X)<~>rich(X))))&
(![X]:(... | humble(mary) | [] | null | 0 |
Everyone who is not patient or not rich is funny or quiet and vice versa.
If someone is funny then someone is either quiet or not tall.
Everyone who is not quiet or not brave is not kind or funny.
If someone is both not happy and quiet then fred is tall or brave.
Everyone who is not wise or patient is not tall.
Everyon... | Fred is brave. | neutral | (![X]:((~patient(X)|~rich(X))<=>(funny(X)|quiet(X))))&
((?[X]:(funny(X)))=>(?[X]:((quiet(X)<~>~tall(X)))))&
(![X]:((~quiet(X)|~brave(X))=>(~kind(X)|funny(X))))&
((?[X]:((~happy(X)&quiet(X))))=>((tall(fred)|brave(fred))))&
(![X]:((~wise(X)|patient(X))=>~tall(X)))&
(![X]:((~tall(X)|funny(X))<=>calm(X)))&
((?[X]:((~funny(... | brave(fred) | [] | null | 0 |
If someone is not happy or not wise then paul is either patient or generous and vice versa. If mary is old then lucy is not happy or brave. Everyone who is tall or not old is not generous. Everyone who is both not curious and not wise is quiet or generous and vice versa. If fred is both patient and curious then someone... | Fred is not old. | contradiction | ((?[X]:((~happy(X)|~wise(X))))<=>((patient(paul)<~>generous(paul))))&
((old(mary))=>((~happy(lucy)|brave(lucy))))&
(![X]:((tall(X)|~old(X))=>~generous(X)))&
(![X]:((~curious(X)&~wise(X))<=>(quiet(X)|generous(X))))&
(((patient(fred)&curious(fred)))=>(?[X]:(~funny(X))))&
(![X]:((brave(X)<~>~kind(X))=>(~tall(X)&generous(X... | ~old(fred) | [
"p2",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3809871135171428901291572
% SZS output start Proof for 3809871135171428901291572
3. ! [X0] : ((~old(X0) | tall(X0)) => ~generous(X0)) [input p2]
8. ! [X0] : (~funny(X0) => wise(X0)) [input p7]
11. ? [X0] : ~funny(X0) => (~old(fred) & ~wise(fred)) [input p10]
16. ! [X0] : (funny(X0) <=> (g... | 0 |
Everyone who is not patient is either not calm or old and vice versa.
If fred is both not tall and kind then someone is funny and vice versa.
Everyone who is both not tall and kind is happy or not kind.
Everyone who is not old or not kind is both not old and not calm and vice versa.
Everyone who is not wise or not stro... | Fred is calm. | entailment | (![X]:(~patient(X)<=>(~calm(X)<~>old(X))))&
(((~tall(fred)&kind(fred)))<=>(?[X]:(funny(X))))&
(![X]:((~tall(X)&kind(X))=>(happy(X)|~kind(X))))&
(![X]:((~old(X)|~kind(X))<=>(~old(X)&~calm(X))))&
(![X]:((~wise(X)|~strong(X))=>(old(X)&~patient(X))))&
((happy(susan))<=>((calm(susan)|~wise(susan))))&
(((~calm(lucy)<~>calm(l... | calm(fred) | [
"p0",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5766672642454290939809561
% SZS output start Proof for 5766672642454290939809561
1. ! [X0] : (~patient(X0) <=> (~calm(X0) <~> old(X0))) [input p0]
8. ! [X0] : ((~calm(X0) | ~generous(X0)) => (funny(X0) & ~creative(X0))) [input p7]
9. ! [X0] : ((~funny(X0) | ~calm(X0)) => (~rich(X0) <~> ~p... | 0 |
If fred is either not strong or strong then john is both not rich and not wise. Everyone who is both creative and not humble is not tall or quiet and vice versa. Everyone who is both not rich and not tall is either not creative or not happy. Everyone who is either not brave or patient is not creative and vice versa. If... | Fred is funny. | neutral | (((~strong(fred)<~>strong(fred)))=>((~rich(john)&~wise(john))))&
(![X]:((creative(X)&~humble(X))<=>(~tall(X)|quiet(X))))&
(![X]:((~rich(X)&~tall(X))=>(~creative(X)<~>~happy(X))))&
(![X]:((~brave(X)<~>patient(X))<=>~creative(X)))&
(((patient(john)|rich(john)))=>(?[X]:((humble(X)|~creative(X)))))&
((~curious(paul))=>(?[X... | funny(fred) | [] | null | 0 |
Everyone who is not brave or strong is not calm and vice versa. Everyone who is both not creative and patient is curious and vice versa. If someone is both humble and generous then paul is not quiet or not kind and vice versa. Everyone who is wise or happy is both not generous and calm. If fred is both curious and kind... | Alice is strong. | contradiction | (![X]:((~brave(X)|strong(X))<=>~calm(X)))&
(![X]:((~creative(X)&patient(X))<=>curious(X)))&
((?[X]:((humble(X)&generous(X))))<=>((~quiet(paul)|~kind(paul))))&
(![X]:((wise(X)|happy(X))=>(~generous(X)&calm(X))))&
(((curious(fred)&kind(fred)))=>((wise(fred)&kind(fred))))&
(![X]:((~creative(X)&old(X))=>(wise(X)&old(X))))&... | strong(alice) | [
"p0",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3609991680718185372231059
% SZS output start Proof for 3609991680718185372231059
1. ! [X0] : ((strong(X0) | ~brave(X0)) <=> ~calm(X0)) [input p0]
4. ! [X0] : ((happy(X0) | wise(X0)) => (calm(X0) & ~generous(X0))) [input p3]
10. ! [X0] : (~happy(X0) => (calm(X0) & quiet(X0))) [input p9]
25... | 0 |
If someone is not humble or not creative then alice is either not creative or not quiet and vice versa.
Everyone who is either not tall or brave is both not quiet and not rich.
If john is both old and not calm then someone is either kind or not curious and vice versa.
Everyone who is not funny or not curious is calm an... | Susan is not tall. | contradiction | ((?[X]:((~humble(X)|~creative(X))))<=>((~creative(alice)<~>~quiet(alice))))&
(![X]:((~tall(X)<~>brave(X))=>(~quiet(X)&~rich(X))))&
(((old(john)&~calm(john)))<=>(?[X]:((kind(X)<~>~curious(X)))))&
(![X]:((~funny(X)|~curious(X))<=>calm(X)))&
(![X]:((tall(X)&humble(X))<=>(calm(X)<~>~tall(X))))&
(![X]:((~brave(X)|~humble(X)... | ~tall(susan) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7103201107238783415676099
% SZS output start Proof for 7103201107238783415676099
5. ! [X0] : ((humble(X0) & tall(X0)) <=> (calm(X0) <~> ~tall(X0))) [input p4]
17. ~rich(susan) & ~calm(susan) [input p16]
25. ~tall(susan) [input hypothesis]
45. ! [X0] : (((humble(X0) & tall(X0)) | ((calm(X0... | 0 |
Everyone who is not happy is kind and vice versa.
Everyone who is quiet is not kind or not tall and vice versa.
If someone is either rich or not old then lucy is both not humble and not old.
If someone is not kind then john is both creative and not quiet and vice versa.
If someone is quiet then john is both not creativ... | Lucy is not kind. | contradiction | (![X]:(~happy(X)<=>kind(X)))&
(![X]:(quiet(X)<=>(~kind(X)|~tall(X))))&
((?[X]:((rich(X)<~>~old(X))))=>((~humble(lucy)&~old(lucy))))&
((?[X]:(~kind(X)))<=>((creative(john)&~quiet(john))))&
((?[X]:(quiet(X)))=>((~creative(john)&~wise(john))))&
(((kind(paul)|humble(paul)))<=>((humble(john)|funny(john))))&
(![X]:((~generou... | ~kind(lucy) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2131519529662626809924188
% SZS output start Proof for 2131519529662626809924188
1. ! [X0] : (~happy(X0) <=> kind(X0)) [input p0]
16. ! [X0] : ((happy(X0) & kind(X0)) <=> (rich(X0) | happy(X0))) [input p15]
25. ~kind(lucy) [input hypothesis]
36. ! [X0] : ((~happy(X0) | ~kind(X0)) & (kind(... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa. Everyone who is humble is both calm and wise and vice versa. Everyone who is both not tall and not strong is either not wise or not strong and vice versa. Everyone who is both old and creative is either strong or not wise and vice vers... | Alice is not kind. | neutral | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
(![X]:(humble(X)<=>(calm(X)&wise(X))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((cre... | ~kind(alice) | [] | null | 0 |
Everyone who is both kind and not old is not strong and vice versa.
If someone is either not generous or not kind then john is either not generous or not patient and vice versa.
If susan is funny or not curious then someone is kind or not curious and vice versa.
Everyone who is not quiet or rich is not brave.
If fred i... | Lucy is not quiet. | entailment | (![X]:((kind(X)&~old(X))<=>~strong(X)))&
((?[X]:((~generous(X)<~>~kind(X))))<=>((~generous(john)<~>~patient(john))))&
(((funny(susan)|~curious(susan)))<=>(?[X]:((kind(X)|~curious(X)))))&
(![X]:((~quiet(X)|rich(X))=>~brave(X)))&
(((creative(fred)|rich(fred)))<=>(~curious(susan)))&
((funny(fred))=>((~wise(lucy)|~brave(lu... | ~quiet(lucy) | [
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6854045822988943403604361
% SZS output start Proof for 6854045822988943403604361
12. ? [X0] : (~strong(X0) & quiet(X0)) <=> calm(lucy) [input p11]
14. ! [X0] : ((quiet(X0) | creative(X0)) => (~strong(X0) | ~quiet(X0))) [input p13]
20. happy(lucy) & ~calm(lucy) [input p19]
25. quiet(lucy) ... | 0 |
Everyone who is both not calm and calm is not funny or not humble and vice versa.
Everyone who is generous or not patient is either quiet or not funny and vice versa.
If someone is either not quiet or not funny then alice is either not generous or not creative.
If someone is wise or not calm then someone is generous.
E... | Mary is not strong. | contradiction | (![X]:((~calm(X)&calm(X))<=>(~funny(X)|~humble(X))))&
(![X]:((generous(X)|~patient(X))<=>(quiet(X)<~>~funny(X))))&
((?[X]:((~quiet(X)<~>~funny(X))))=>((~generous(alice)<~>~creative(alice))))&
((?[X]:((wise(X)|~calm(X))))=>(?[X]:(generous(X))))&
(![X]:((~patient(X)&humble(X))<=>(funny(X)<~>~kind(X))))&
((?[X]:((tall(X)|... | ~strong(mary) | [
"p0",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5895581802676512919206962
% SZS output start Proof for 5895581802676512919206962
1. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~humble(X0) | ~funny(X0))) [input p0]
10. ! [X0] : ((creative(X0) | ~strong(X0)) <=> (rich(X0) & ~curious(X0))) [input p9]
11. (funny(mary) <~> ~curious(mary)) <=> ? [... | 0 |
If someone is both happy and not humble then someone is either not strong or not quiet and vice versa.
If someone is not generous then alice is both not patient and old.
Everyone who is calm or not happy is patient.
Everyone who is wise or not tall is both wise and not happy and vice versa.
Everyone who is wise is both... | Mary is brave. | entailment | ((?[X]:((happy(X)&~humble(X))))<=>(?[X]:((~strong(X)<~>~quiet(X)))))&
((?[X]:(~generous(X)))=>((~patient(alice)&old(alice))))&
(![X]:((calm(X)|~happy(X))=>patient(X)))&
(![X]:((wise(X)|~tall(X))<=>(wise(X)&~happy(X))))&
(![X]:(wise(X)=>(happy(X)&generous(X))))&
(![X]:((quiet(X)<~>~generous(X))=>(patient(X)|curious(X)))... | brave(mary) | [
"p0",
"p3",
"p4",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 937303208245544030988766
% SZS output start Proof for 937303208245544030988766
1. ? [X0] : (~humble(X0) & happy(X0)) <=> ? [X0] : (~strong(X0) <~> ~quiet(X0)) [input p0]
4. ! [X0] : ((~tall(X0) | wise(X0)) <=> (~happy(X0) & wise(X0))) [input p3]
5. ! [X0] : (wise(X0) => (generous(X0) & ha... | 0 |
If lucy is both kind and funny then someone is either not brave or not humble and vice versa. If mary is not humble or not generous then susan is both not humble and not wise. Everyone who is kind or not patient is both not brave and not rich and vice versa. Everyone who is both rich and not strong is old and vice vers... | Fred is not wise. | entailment | (((kind(lucy)&funny(lucy)))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(((~humble(mary)|~generous(mary)))=>((~humble(susan)&~wise(susan))))&
(![X]:((kind(X)|~patient(X))<=>(~brave(X)&~rich(X))))&
(![X]:((rich(X)&~strong(X))<=>old(X)))&
(![X]:((~brave(X)&funny(X))<=>(kind(X)|curious(X))))&
((?[X]:(brave(X)))=>((old(mary)&pat... | ~wise(fred) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3201260899987567986345737
% SZS output start Proof for 3201260899987567986345737
4. ! [X0] : ((~strong(X0) & rich(X0)) <=> old(X0)) [input p3]
5. ! [X0] : ((funny(X0) & ~brave(X0)) <=> (curious(X0) | kind(X0))) [input p4]
6. ? [X0] : brave(X0) => (patient(mary) & old(mary)) [input p5]
7. ... | 0 |
If alice is both kind and rich then fred is either old or strong and vice versa.
If someone is both calm and happy then alice is both not strong and not rich and vice versa.
Everyone who is not tall is generous or not generous.
If mary is both not generous and patient then someone is either wise or not kind.
Everyone w... | Mary is funny. | contradiction | (((kind(alice)&rich(alice)))<=>((old(fred)<~>strong(fred))))&
((?[X]:((calm(X)&happy(X))))<=>((~strong(alice)&~rich(alice))))&
(![X]:(~tall(X)=>(generous(X)|~generous(X))))&
(((~generous(mary)&patient(mary)))=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((creative(X)|~tall(X))<=>(~brave(X)<~>curious(X))))&
((?[X]:((~calm(X)|... | funny(mary) | [
"p6",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2216094780387812670637693
% SZS output start Proof for 2216094780387812670637693
7. ! [X0] : ((~curious(X0) <~> curious(X0)) => (~funny(X0) <~> ~old(X0))) [input p6]
11. ! [X0] : ((old(X0) <~> ~kind(X0)) <=> (~wise(X0) | calm(X0))) [input p10]
14. ! [X0] : ((kind(X0) & tall(X0)) <=> (~cur... | 0 |
Everyone who is not rich or creative is patient or not old and vice versa. If susan is either not funny or kind then someone is either not rich or calm and vice versa. Everyone who is either not patient or tall is generous or kind. Everyone who is kind is generous. Everyone who is not quiet is either not humble or humb... | Alice is not kind. | neutral | (![X]:((~rich(X)|creative(X))<=>(patient(X)|~old(X))))&
(((~funny(susan)<~>kind(susan)))<=>(?[X]:((~rich(X)<~>calm(X)))))&
(![X]:((~patient(X)<~>tall(X))=>(generous(X)|kind(X))))&
(![X]:(kind(X)=>generous(X)))&
(![X]:(~quiet(X)<=>(~humble(X)<~>humble(X))))&
(![X]:((~generous(X)|tall(X))<=>(~happy(X)|patient(X))))&
((~r... | ~kind(alice) | [] | null | 0 |
If someone is not quiet then someone is not creative.
Everyone who is either calm or not patient is either wise or not rich and vice versa.
If alice is not rich or wise then someone is both old and not tall and vice versa.
If fred is both not wise and curious then fred is not humble or not strong and vice versa.
Everyo... | Alice is quiet. | neutral | ((?[X]:(~quiet(X)))=>(?[X]:(~creative(X))))&
(![X]:((calm(X)<~>~patient(X))<=>(wise(X)<~>~rich(X))))&
(((~rich(alice)|wise(alice)))<=>(?[X]:((old(X)&~tall(X)))))&
(((~wise(fred)&curious(fred)))<=>((~humble(fred)|~strong(fred))))&
(![X]:(creative(X)=>~funny(X)))&
(![X]:((quiet(X)&brave(X))=>(~quiet(X)<~>wise(X))))&
((?[... | quiet(alice) | [] | null | 0 |
Everyone who is generous is both calm and generous and vice versa.
Everyone who is not creative is not strong or not patient and vice versa.
If alice is either calm or not humble then someone is tall.
Everyone who is patient is humble and vice versa.
If fred is rich then mary is both not curious and not generous and vi... | John is not quiet. | neutral | (![X]:(generous(X)<=>(calm(X)&generous(X))))&
(![X]:(~creative(X)<=>(~strong(X)|~patient(X))))&
(((calm(alice)<~>~humble(alice)))=>(?[X]:(tall(X))))&
(![X]:(patient(X)<=>humble(X)))&
((rich(fred))<=>((~curious(mary)&~generous(mary))))&
((?[X]:((~old(X)<~>patient(X))))<=>(generous(susan)))&
(![X]:((funny(X)&~generous(X)... | ~quiet(john) | [] | null | 0 |
Everyone who is humble is either not happy or not creative.
Everyone who is both funny and not calm is either not old or not patient and vice versa.
If paul is both quiet and not kind then someone is both not humble and not old.
Everyone who is not patient is not happy.
If someone is old or not tall then someone is fun... | Paul is not kind. | neutral | (![X]:(humble(X)=>(~happy(X)<~>~creative(X))))&
(![X]:((funny(X)&~calm(X))<=>(~old(X)<~>~patient(X))))&
(((quiet(paul)&~kind(paul)))=>(?[X]:((~humble(X)&~old(X)))))&
(![X]:(~patient(X)=>~happy(X)))&
((?[X]:((old(X)|~tall(X))))=>(?[X]:(funny(X))))&
(![X]:((strong(X)&patient(X))=>(old(X)|~wise(X))))&
(![X]:((creative(X)<... | ~kind(paul) | [] | null | 0 |
If alice is not old then someone is not wise or old and vice versa. Everyone who is either not calm or not creative is either not strong or kind and vice versa. If someone is either not happy or creative then susan is either not curious or kind and vice versa. Everyone who is wise or strong is both not tall and rich an... | Mary is not rich. | contradiction | ((~old(alice))<=>(?[X]:((~wise(X)|old(X)))))&
(![X]:((~calm(X)<~>~creative(X))<=>(~strong(X)<~>kind(X))))&
((?[X]:((~happy(X)<~>creative(X))))<=>((~curious(susan)<~>kind(susan))))&
(![X]:((wise(X)|strong(X))<=>(~tall(X)&rich(X))))&
(![X]:(strong(X)<=>~rich(X)))&
(((rich(fred)|~happy(fred)))<=>((quiet(paul)<~>old(paul))... | ~rich(mary) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2291148128888575505101005
% SZS output start Proof for 2291148128888575505101005
4. ! [X0] : ((strong(X0) | wise(X0)) <=> (rich(X0) & ~tall(X0))) [input p3]
5. ! [X0] : (strong(X0) <=> ~rich(X0)) [input p4]
23. ~rich(mary) [input hypothesis]
46. ! [X0] : (((strong(X0) | wise(X0)) | (~rich... | 0 |
Everyone who is both not strong and not calm is not quiet or tall and vice versa.
If someone is not patient then someone is not wise and vice versa.
Everyone who is not funny or not happy is either not generous or humble.
Everyone who is both patient and old is both not rich and tall.
Everyone who is either not calm or... | John is tall. | contradiction | (![X]:((~strong(X)&~calm(X))<=>(~quiet(X)|tall(X))))&
((?[X]:(~patient(X)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|~happy(X))=>(~generous(X)<~>humble(X))))&
(![X]:((patient(X)&old(X))=>(~rich(X)&tall(X))))&
(![X]:((~calm(X)<~>~tall(X))=>~rich(X)))&
(![X]:((~humble(X)&humble(X))<=>happy(X)))&
((?[X]:((happy(X)&creative... | tall(john) | [
"p0",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4209770129172911060776472
% SZS output start Proof for 4209770129172911060776472
1. ! [X0] : ((~calm(X0) & ~strong(X0)) <=> (tall(X0) | ~quiet(X0))) [input p0]
15. (curious(john) & ~wise(john)) <=> ? [X0] : (funny(X0) | old(X0)) [input p14]
16. ! [X0] : ((~calm(X0) & curious(X0)) => ~curi... | 0 |
Everyone who is both strong and quiet is not curious or not creative and vice versa.
If someone is both tall and not kind then alice is strong and vice versa.
If someone is not rich then someone is both not curious and quiet.
Everyone who is not kind is both kind and tall and vice versa.
Everyone who is humble or quiet... | Fred is not old. | neutral | (![X]:((strong(X)&quiet(X))<=>(~curious(X)|~creative(X))))&
((?[X]:((tall(X)&~kind(X))))<=>(strong(alice)))&
((?[X]:(~rich(X)))=>(?[X]:((~curious(X)&quiet(X)))))&
(![X]:(~kind(X)<=>(kind(X)&tall(X))))&
(![X]:((humble(X)|quiet(X))=>(~rich(X)<~>~strong(X))))&
(![X]:(~humble(X)=>(curious(X)<~>quiet(X))))&
((~kind(fred))<=... | ~old(fred) | [] | null | 0 |
Everyone who is not wise or patient is happy and vice versa.
Everyone who is not old or not quiet is both old and not humble and vice versa.
Everyone who is either not quiet or wise is both curious and generous.
Everyone who is kind or happy is not rich or curious and vice versa.
Everyone who is not patient or funny is... | Susan is generous. | entailment | (![X]:((~wise(X)|patient(X))<=>happy(X)))&
(![X]:((~old(X)|~quiet(X))<=>(old(X)&~humble(X))))&
(![X]:((~quiet(X)<~>wise(X))=>(curious(X)&generous(X))))&
(![X]:((kind(X)|happy(X))<=>(~rich(X)|curious(X))))&
(![X]:((~patient(X)|funny(X))<=>(rich(X)|strong(X))))&
(![X]:((funny(X)<~>wise(X))=>(~old(X)&quiet(X))))&
(![X]:((... | generous(susan) | [
"p1",
"p2",
"p5",
"p6",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 47223673259855250636071
% SZS output start Proof for 47223673259855250636071
2. ! [X0] : ((~quiet(X0) | ~old(X0)) <=> (~humble(X0) & old(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) <~> wise(X0)) => (generous(X0) & curious(X0))) [input p2]
6. ! [X0] : ((funny(X0) <~> wise(X0)) => (quiet(X0) ... | 0 |
If mary is curious or not brave then someone is tall or old.
Everyone who is either not brave or not quiet is either not strong or not funny.
Everyone who is not strong is either not quiet or funny and vice versa.
If alice is either calm or happy then mary is both tall and strong and vice versa.
If someone is not rich ... | John is rich. | contradiction | (((curious(mary)|~brave(mary)))=>(?[X]:((tall(X)|old(X)))))&
(![X]:((~brave(X)<~>~quiet(X))=>(~strong(X)<~>~funny(X))))&
(![X]:(~strong(X)<=>(~quiet(X)<~>funny(X))))&
(((calm(alice)<~>happy(alice)))<=>((tall(mary)&strong(mary))))&
((?[X]:((~rich(X)|brave(X))))=>((~patient(alice)|~humble(alice))))&
(![X]:(rich(X)<=>(kin... | rich(john) | [
"p2",
"p5",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3263378808753832983769775
% SZS output start Proof for 3263378808753832983769775
3. ! [X0] : (~strong(X0) <=> (~quiet(X0) <~> funny(X0))) [input p2]
6. ! [X0] : (rich(X0) <=> (~humble(X0) & kind(X0))) [input p5]
11. strong(paul) <=> humble(john) [input p10]
20. funny(paul) <~> quiet(paul)... | 0 |
If fred is either not old or not quiet then paul is either not happy or patient and vice versa.
If fred is both not tall and not kind then someone is not humble or not wise and vice versa.
Everyone who is rich or old is not wise.
If mary is not old or not strong then someone is not funny.
Everyone who is funny is not r... | Susan is not wise. | neutral | (((~old(fred)<~>~quiet(fred)))<=>((~happy(paul)<~>patient(paul))))&
(((~tall(fred)&~kind(fred)))<=>(?[X]:((~humble(X)|~wise(X)))))&
(![X]:((rich(X)|old(X))=>~wise(X)))&
(((~old(mary)|~strong(mary)))=>(?[X]:(~funny(X))))&
(![X]:(funny(X)<=>(~rich(X)|~funny(X))))&
(![X]:(~curious(X)=>(humble(X)|~humble(X))))&
((?[X]:((~o... | ~wise(susan) | [] | null | 0 |
If someone is not old or not tall then someone is both kind and not calm and vice versa.
Everyone who is either not brave or strong is not funny and vice versa.
Everyone who is not happy or strong is not curious or not patient.
If susan is either not strong or generous then alice is patient and vice versa.
If lucy is n... | Mary is not happy. | contradiction | ((?[X]:((~old(X)|~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))&
(![X]:((~brave(X)<~>strong(X))<=>~funny(X)))&
(![X]:((~happy(X)|strong(X))=>(~curious(X)|~patient(X))))&
(((~strong(susan)<~>generous(susan)))<=>(patient(alice)))&
(((~funny(lucy)|~curious(lucy)))=>((~old(mary)<~>happy(mary))))&
(![X]:(~brave(X)=>(generous(X)... | ~happy(mary) | [
"p4",
"p8",
"p10",
"p11",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5319683187808437948966732
% SZS output start Proof for 5319683187808437948966732
5. (~curious(lucy) | ~funny(lucy)) => (~old(mary) <~> happy(mary)) [input p4]
9. ! [X0] : ((curious(X0) | ~kind(X0)) => rich(X0)) [input p8]
11. ! [X0] : (~strong(X0) <=> quiet(X0)) [input p10]
12. ! [X0] : (... | 0 |
If susan is both not brave and old then fred is both not old and not patient and vice versa. If someone is not rich or kind then susan is either funny or brave and vice versa. If susan is not curious then someone is happy. If susan is calm or rich then paul is both not quiet and not curious. If alice is not creative th... | Susan is patient. | entailment | (((~brave(susan)&old(susan)))<=>((~old(fred)&~patient(fred))))&
((?[X]:((~rich(X)|kind(X))))<=>((funny(susan)<~>brave(susan))))&
((~curious(susan))=>(?[X]:(happy(X))))&
(((calm(susan)|rich(susan)))=>((~quiet(paul)&~curious(paul))))&
((~creative(alice))=>((~rich(alice)<~>kind(alice))))&
(![X]:((creative(X)<~>~brave(X))<... | patient(susan) | [
"p1",
"p4",
"p5",
"p6",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1989811337862117020356283
% SZS output start Proof for 1989811337862117020356283
2. ? [X0] : (kind(X0) | ~rich(X0)) <=> (funny(susan) <~> brave(susan)) [input p1]
5. ~creative(alice) => (~rich(alice) <~> kind(alice)) [input p4]
6. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (curious(X0) |... | 0 |
Everyone who is funny or tall is both happy and not quiet and vice versa.
Everyone who is both old and brave is either strong or not rich.
Everyone who is either old or not strong is not wise and vice versa.
If someone is either not rich or strong then susan is both not wise and not brave and vice versa.
If someone is ... | John is not tall. | entailment | (![X]:((funny(X)|tall(X))<=>(happy(X)&~quiet(X))))&
(![X]:((old(X)&brave(X))=>(strong(X)<~>~rich(X))))&
(![X]:((old(X)<~>~strong(X))<=>~wise(X)))&
((?[X]:((~rich(X)<~>strong(X))))<=>((~wise(susan)&~brave(susan))))&
((?[X]:((curious(X)|~funny(X))))<=>((~generous(lucy)&humble(lucy))))&
(![X]:((calm(X)<~>creative(X))<=>(~... | ~tall(john) | [
"p0",
"p8",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3731325236179049528347377
% SZS output start Proof for 3731325236179049528347377
1. ! [X0] : ((tall(X0) | funny(X0)) <=> (~quiet(X0) & happy(X0))) [input p0]
9. ! [X0] : ((strong(X0) | happy(X0)) <=> (~brave(X0) | ~patient(X0))) [input p8]
13. ! [X0] : ((~strong(X0) | rich(X0)) <=> (~calm... | 0 |
Everyone who is either humble or old is creative or not tall.
Everyone who is either not calm or not happy is creative.
Everyone who is either strong or not funny is not strong.
Everyone who is both calm and not calm is both not funny and creative and vice versa.
Everyone who is not old or not calm is old or tall and v... | Paul is not funny. | entailment | (![X]:((humble(X)<~>old(X))=>(creative(X)|~tall(X))))&
(![X]:((~calm(X)<~>~happy(X))=>creative(X)))&
(![X]:((strong(X)<~>~funny(X))=>~strong(X)))&
(![X]:((calm(X)&~calm(X))<=>(~funny(X)&creative(X))))&
(![X]:((~old(X)|~calm(X))<=>(old(X)|tall(X))))&
((?[X]:((old(X)|curious(X))))<=>(?[X]:(tall(X))))&
(((patient(mary)&~k... | ~funny(paul) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5243404858539799600661799
% SZS output start Proof for 5243404858539799600661799
3. ! [X0] : ((strong(X0) <~> ~funny(X0)) => ~strong(X0)) [input p2]
11. ! [X0] : ((~humble(X0) & humble(X0)) <=> (~strong(X0) | humble(X0))) [input p10]
24. funny(paul) [input hypothesis]
31. ! [X0] : (~stron... | 0 |
Everyone who is wise or happy is both not funny and curious and vice versa. If paul is not tall or not happy then someone is patient or not old. If someone is not generous or not curious then fred is both brave and happy and vice versa. Everyone who is both not quiet and strong is both quiet and not wise and vice versa... | Fred is not funny. | entailment | (![X]:((wise(X)|happy(X))<=>(~funny(X)&curious(X))))&
(((~tall(paul)|~happy(paul)))=>(?[X]:((patient(X)|~old(X)))))&
((?[X]:((~generous(X)|~curious(X))))<=>((brave(fred)&happy(fred))))&
(![X]:((~quiet(X)&strong(X))<=>(quiet(X)&~wise(X))))&
(![X]:(~generous(X)=>(~creative(X)&funny(X))))&
(![X]:(strong(X)<=>(~kind(X)<~>~... | ~funny(fred) | [
"p0",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1404590527413092662541948
% SZS output start Proof for 1404590527413092662541948
1. ! [X0] : ((happy(X0) | wise(X0)) <=> (curious(X0) & ~funny(X0))) [input p0]
3. ? [X0] : (~curious(X0) | ~generous(X0)) <=> (happy(fred) & brave(fred)) [input p2]
10. (humble(john) | curious(john)) => ? [X0... | 0 |
Everyone who is not patient is both funny and not calm and vice versa.
Everyone who is either rich or not patient is patient and vice versa.
If someone is both not humble and not kind then someone is both not funny and calm.
If someone is both not tall and generous then john is either not quiet or tall and vice versa.
... | Fred is not strong. | contradiction | (![X]:(~patient(X)<=>(funny(X)&~calm(X))))&
(![X]:((rich(X)<~>~patient(X))<=>patient(X)))&
((?[X]:((~humble(X)&~kind(X))))=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:((~tall(X)&generous(X))))<=>((~quiet(john)<~>tall(john))))&
(![X]:(~tall(X)<=>(~tall(X)|curious(X))))&
(![X]:((~funny(X)|~patient(X))=>funny(X)))&
(![X]:((~ol... | ~strong(fred) | [
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9181200612295226082780955
% SZS output start Proof for 9181200612295226082780955
6. ! [X0] : ((~patient(X0) | ~funny(X0)) => funny(X0)) [input p5]
22. strong(fred) | ~funny(fred) [input p21]
24. ~strong(fred) [input hypothesis]
27. ! [X0] : (funny(X0) | (patient(X0) & funny(X0))) [ennf tr... | 0 |
If someone is either not rich or not calm then paul is both not happy and wise and vice versa.
Everyone who is not humble is brave and vice versa.
Everyone who is tall is patient and vice versa.
If someone is either not humble or funny then susan is either not rich or patient.
If someone is both not tall and humble the... | Susan is rich. | neutral | ((?[X]:((~rich(X)<~>~calm(X))))<=>((~happy(paul)&wise(paul))))&
(![X]:(~humble(X)<=>brave(X)))&
(![X]:(tall(X)<=>patient(X)))&
((?[X]:((~humble(X)<~>funny(X))))=>((~rich(susan)<~>patient(susan))))&
((?[X]:((~tall(X)&humble(X))))<=>(?[X]:(~brave(X))))&
(![X]:((generous(X)|humble(X))<=>kind(X)))&
(((~generous(lucy)|brave... | rich(susan) | [] | null | 0 |
Everyone who is not humble or strong is old and vice versa.
Everyone who is calm or rich is quiet or happy and vice versa.
Everyone who is either patient or not humble is either patient or not tall.
Everyone who is funny is both not funny and wise.
Everyone who is quiet or old is not patient.
Everyone who is both not c... | John is not curious. | entailment | (![X]:((~humble(X)|strong(X))<=>old(X)))&
(![X]:((calm(X)|rich(X))<=>(quiet(X)|happy(X))))&
(![X]:((patient(X)<~>~humble(X))=>(patient(X)<~>~tall(X))))&
(![X]:(funny(X)=>(~funny(X)&wise(X))))&
(![X]:((quiet(X)|old(X))=>~patient(X)))&
(![X]:((~curious(X)&creative(X))<=>(happy(X)|~wise(X))))&
(![X]:((~quiet(X)&~old(X))=>... | ~curious(john) | [
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4947451230463657211472076
% SZS output start Proof for 4947451230463657211472076
6. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (~wise(X0) | happy(X0))) [input p5]
13. ! [X0] : ((brave(X0) | humble(X0)) <=> (~generous(X0) <~> humble(X0))) [input p12]
16. ! [X0] : ((~generous(X0) & ~humble... | 0 |
Everyone who is both brave and not curious is kind and vice versa.
If someone is not brave or calm then someone is not brave or kind and vice versa.
Everyone who is either not calm or not kind is calm and vice versa.
If someone is happy or not calm then john is either not generous or old and vice versa.
Everyone who is... | Mary is quiet. | entailment | (![X]:((brave(X)&~curious(X))<=>kind(X)))&
((?[X]:((~brave(X)|calm(X))))<=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~calm(X)<~>~kind(X))<=>calm(X)))&
((?[X]:((happy(X)|~calm(X))))<=>((~generous(john)<~>old(john))))&
(![X]:(~funny(X)=>~tall(X)))&
((?[X]:((kind(X)&~tall(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
(![X]:(~... | quiet(mary) | [
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2234800982661448157537117
% SZS output start Proof for 2234800982661448157537117
3. ! [X0] : ((~calm(X0) <~> ~kind(X0)) <=> calm(X0)) [input p2]
23. ~quiet(mary) <~> ~kind(mary) [input p22]
25. ~quiet(mary) [input hypothesis]
42. ! [X0] : ((((kind(X0) | calm(X0)) & (~kind(X0) | ~calm(X0))... | 0 |
Everyone who is either not wise or not creative is wise or not patient. Everyone who is both generous and not wise is either not creative or patient and vice versa. Everyone who is both not creative and creative is kind. If lucy is both rich and not generous then john is both not creative and funny and vice versa. If j... | Mary is patient. | contradiction | (![X]:((~wise(X)<~>~creative(X))=>(wise(X)|~patient(X))))&
(![X]:((generous(X)&~wise(X))<=>(~creative(X)<~>patient(X))))&
(![X]:((~creative(X)&creative(X))=>kind(X)))&
(((rich(lucy)&~generous(lucy)))<=>((~creative(john)&funny(john))))&
(((~quiet(john)|generous(john)))<=>((happy(paul)|~happy(paul))))&
((~wise(lucy))=>(?... | patient(mary) | [
"p0",
"p1",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5124359618800008298385485
% SZS output start Proof for 5124359618800008298385485
1. ! [X0] : ((~wise(X0) <~> ~creative(X0)) => (~patient(X0) | wise(X0))) [input p0]
2. ! [X0] : ((~wise(X0) & generous(X0)) <=> (~creative(X0) <~> patient(X0))) [input p1]
8. ! [X0] : ((tall(X0) | ~curious(X0... | 0 |
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