premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not patient or happy then someone is both not strong and old.
Everyone who is both quiet and not wise is both curious and not creative.
Everyone who is both quiet and creative is both happy and not tall.
Everyone who is both funny and generous is both not calm and generous and vice versa.
Everyone who is ... | Alice is quiet. | contradiction | ((?[X]:((~patient(X)|happy(X))))=>(?[X]:((~strong(X)&old(X)))))&
(![X]:((quiet(X)&~wise(X))=>(curious(X)&~creative(X))))&
(![X]:((quiet(X)&creative(X))=>(happy(X)&~tall(X))))&
(![X]:((funny(X)&generous(X))<=>(~calm(X)&generous(X))))&
(![X]:((patient(X)|curious(X))<=>(kind(X)|tall(X))))&
(![X]:((~kind(X)<~>~strong(X))<=... | quiet(alice) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8500110530748390603828611
% SZS output start Proof for 8500110530748390603828611
13. ! [X0] : ((~quiet(X0) | ~rich(X0)) => (rich(X0) & ~tall(X0))) [input p12]
16. ! [X0] : ((rich(X0) | creative(X0)) <=> ~quiet(X0)) [input p15]
23. quiet(alice) [input hypothesis]
38. ! [X0] : ((rich(X0) & ... | 0 |
If mary is both kind and old then alice is not rich or not kind. Everyone who is brave is either old or not rich. If alice is both not calm and quiet then someone is both brave and not brave and vice versa. If someone is either not kind or not happy then alice is old. Everyone who is both happy and not old is not kind.... | Mary is not generous. | neutral | (((kind(mary)&old(mary)))=>((~rich(alice)|~kind(alice))))&
(![X]:(brave(X)=>(old(X)<~>~rich(X))))&
(((~calm(alice)&quiet(alice)))<=>(?[X]:((brave(X)&~brave(X)))))&
((?[X]:((~kind(X)<~>~happy(X))))=>(old(alice)))&
(![X]:((happy(X)&~old(X))=>~kind(X)))&
(![X]:((~funny(X)&rich(X))=>(generous(X)|~kind(X))))&
(![X]:((~stron... | ~generous(mary) | [] | null | 0 |
Everyone who is either not generous or not strong is either curious or calm and vice versa.
Everyone who is either not rich or wise is not humble and vice versa.
Everyone who is both tall and brave is funny.
If someone is calm then lucy is calm or not generous.
Everyone who is not tall or happy is both not tall and not... | Mary is not kind. | neutral | (![X]:((~generous(X)<~>~strong(X))<=>(curious(X)<~>calm(X))))&
(![X]:((~rich(X)<~>wise(X))<=>~humble(X)))&
(![X]:((tall(X)&brave(X))=>funny(X)))&
((?[X]:(calm(X)))=>((calm(lucy)|~generous(lucy))))&
(![X]:((~tall(X)|happy(X))<=>(~tall(X)&~funny(X))))&
((?[X]:((tall(X)&creative(X))))=>((~patient(john)&kind(john))))&
(((~... | ~kind(mary) | [] | null | 0 |
Everyone who is creative or not happy is both humble and not wise and vice versa. If someone is humble then someone is either not curious or curious. If susan is either strong or curious then paul is either not quiet or patient and vice versa. Everyone who is not kind or happy is both not wise and humble and vice versa... | Lucy is not happy. | contradiction | (![X]:((creative(X)|~happy(X))<=>(humble(X)&~wise(X))))&
((?[X]:(humble(X)))=>(?[X]:((~curious(X)<~>curious(X)))))&
(((strong(susan)<~>curious(susan)))<=>((~quiet(paul)<~>patient(paul))))&
(![X]:((~kind(X)|happy(X))<=>(~wise(X)&humble(X))))&
((?[X]:((~happy(X)<~>~strong(X))))=>(funny(alice)))&
(![X]:(~funny(X)<=>(~pati... | ~happy(lucy) | [
"p0",
"p3",
"p4",
"p10",
"p11",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7961458595393097327301890
% SZS output start Proof for 7961458595393097327301890
1. ! [X0] : ((~happy(X0) | creative(X0)) <=> (~wise(X0) & humble(X0))) [input p0]
4. ! [X0] : ((happy(X0) | ~kind(X0)) <=> (humble(X0) & ~wise(X0))) [input p3]
5. ? [X0] : (~happy(X0) <~> ~strong(X0)) => funn... | 0 |
Everyone who is not patient is not quiet and vice versa. Everyone who is both not happy and curious is either not funny or not patient and vice versa. Everyone who is both not calm and not tall is both kind and not quiet. Everyone who is either not happy or rich is both not curious and curious. Everyone who is either n... | Lucy is not brave. | neutral | (![X]:(~patient(X)<=>~quiet(X)))&
(![X]:((~happy(X)&curious(X))<=>(~funny(X)<~>~patient(X))))&
(![X]:((~calm(X)&~tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((~happy(X)<~>rich(X))=>(~curious(X)&curious(X))))&
(![X]:((~rich(X)<~>tall(X))<=>(funny(X)|~happy(X))))&
(![X]:((~kind(X)<~>~humble(X))<=>strong(X)))&
((?[X]:((~old(X)... | ~brave(lucy) | [] | null | 0 |
If john is either old or tall then paul is both patient and strong and vice versa. Everyone who is either not happy or calm is not happy or generous. If paul is wise then someone is both not calm and not rich. If someone is not strong then paul is not brave or kind. If someone is creative then lucy is brave or not happ... | Fred is not wise. | contradiction | (((old(john)<~>tall(john)))<=>((patient(paul)&strong(paul))))&
(![X]:((~happy(X)<~>calm(X))=>(~happy(X)|generous(X))))&
((wise(paul))=>(?[X]:((~calm(X)&~rich(X)))))&
((?[X]:(~strong(X)))=>((~brave(paul)|kind(paul))))&
((?[X]:(creative(X)))<=>((brave(lucy)|~happy(lucy))))&
(![X]:((humble(X)<~>~wise(X))=>humble(X)))&
(![... | ~wise(fred) | [
"p5",
"p7",
"p10",
"p13",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8717042319337038540853883
% SZS output start Proof for 8717042319337038540853883
6. ! [X0] : ((humble(X0) <~> ~wise(X0)) => humble(X0)) [input p5]
8. ! [X0] : ((curious(X0) <~> ~kind(X0)) <=> (humble(X0) <~> happy(X0))) [input p7]
11. ! [X0] : ((~wise(X0) & curious(X0)) <=> (curious(X0) <... | 0 |
If someone is both not strong and not rich then paul is both not funny and happy.
Everyone who is either patient or not curious is both strong and not kind.
If susan is happy or not wise then lucy is either rich or not wise.
Everyone who is both quiet and not kind is wise and vice versa.
Everyone who is either not crea... | Alice is not wise. | entailment | ((?[X]:((~strong(X)&~rich(X))))=>((~funny(paul)&happy(paul))))&
(![X]:((patient(X)<~>~curious(X))=>(strong(X)&~kind(X))))&
(((happy(susan)|~wise(susan)))=>((rich(lucy)<~>~wise(lucy))))&
(![X]:((quiet(X)&~kind(X))<=>wise(X)))&
(![X]:((~creative(X)<~>kind(X))=>(~wise(X)<~>rich(X))))&
(![X]:((~rich(X)&calm(X))<=>(brave(X)... | ~wise(alice) | [
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3816419708182210410671864
% SZS output start Proof for 3816419708182210410671864
4. ! [X0] : ((~kind(X0) & quiet(X0)) <=> wise(X0)) [input p3]
19. kind(alice) & ~brave(alice) [input p18]
25. wise(alice) [input hypothesis]
44. ! [X0] : (((~kind(X0) & quiet(X0)) | ~wise(X0)) & (wise(X0) | (... | 0 |
Everyone who is not rich is both calm and tall.
Everyone who is both old and humble is not funny and vice versa.
Everyone who is either humble or not quiet is both brave and humble and vice versa.
Everyone who is not humble is humble.
Everyone who is curious is both wise and rich.
Everyone who is not rich or not curiou... | Fred is wise. | entailment | (![X]:(~rich(X)=>(calm(X)&tall(X))))&
(![X]:((old(X)&humble(X))<=>~funny(X)))&
(![X]:((humble(X)<~>~quiet(X))<=>(brave(X)&humble(X))))&
(![X]:(~humble(X)=>humble(X)))&
(![X]:(curious(X)=>(wise(X)&rich(X))))&
(![X]:((~rich(X)|~curious(X))=>(~calm(X)<~>~happy(X))))&
(((~funny(fred)<~>~curious(fred)))<=>((rich(mary)|~quie... | wise(fred) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 69571945677810755386835
% SZS output start Proof for 69571945677810755386835
1. ! [X0] : (~rich(X0) => (tall(X0) & calm(X0))) [input p0]
2. ! [X0] : ((humble(X0) & old(X0)) <=> ~funny(X0)) [input p1]
4. ! [X0] : (~humble(X0) => humble(X0)) [input p3]
5. ! [X0] : (curious(X0) => (rich(X0) ... | 0 |
Everyone who is both not humble and not creative is kind and vice versa.
If mary is both curious and not kind then fred is not patient and vice versa.
Everyone who is not tall or not humble is both not generous and creative.
If someone is not funny then alice is either not brave or kind and vice versa.
Everyone who is ... | Alice is not wise. | neutral | (![X]:((~humble(X)&~creative(X))<=>kind(X)))&
(((curious(mary)&~kind(mary)))<=>(~patient(fred)))&
(![X]:((~tall(X)|~humble(X))=>(~generous(X)&creative(X))))&
((?[X]:(~funny(X)))<=>((~brave(alice)<~>kind(alice))))&
(![X]:((~patient(X)|~old(X))<=>(~kind(X)|strong(X))))&
(![X]:((brave(X)<~>patient(X))=>(kind(X)&patient(X)... | ~wise(alice) | [] | null | 0 |
Everyone who is both not happy and not wise is either not quiet or humble. If john is not creative then someone is either not brave or not humble and vice versa. Everyone who is both wise and patient is either quiet or curious and vice versa. If mary is both not patient and quiet then someone is rich and vice versa. If... | Susan is not quiet. | neutral | (![X]:((~happy(X)&~wise(X))=>(~quiet(X)<~>humble(X))))&
((~creative(john))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(![X]:((wise(X)&patient(X))<=>(quiet(X)<~>curious(X))))&
(((~patient(mary)&quiet(mary)))<=>(?[X]:(rich(X))))&
((old(lucy))=>(?[X]:((~rich(X)|~happy(X)))))&
(![X]:((~tall(X)|curious(X))=>(~kind(X)&~brave(X)))... | ~quiet(susan) | [] | null | 0 |
Everyone who is both quiet and kind is both not creative and funny and vice versa. If someone is both not creative and curious then fred is happy or patient. Everyone who is strong is not tall or brave and vice versa. If someone is both not generous and not brave then someone is wise or not quiet. Everyone who is not p... | Mary is not calm. | contradiction | (![X]:((quiet(X)&kind(X))<=>(~creative(X)&funny(X))))&
((?[X]:((~creative(X)&curious(X))))=>((happy(fred)|patient(fred))))&
(![X]:(strong(X)<=>(~tall(X)|brave(X))))&
((?[X]:((~generous(X)&~brave(X))))=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:(~patient(X)=>wise(X)))&
(((old(fred)&kind(fred)))<=>(?[X]:((old(X)<~>~creative(X... | ~calm(mary) | [
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 853568689043136649164234
% SZS output start Proof for 853568689043136649164234
14. ? [X0] : ~curious(X0) => (~funny(mary) & calm(mary)) [input p13]
19. ~curious(alice) [input p18]
25. ~calm(mary) [input hypothesis]
33. (~funny(mary) & calm(mary)) | ! [X0] : curious(X0) [ennf transformatio... | 0 |
Everyone who is generous is both creative and not old.
Everyone who is not tall is either not creative or not quiet and vice versa.
Everyone who is both generous and funny is either not tall or patient and vice versa.
Everyone who is not kind or quiet is calm and vice versa.
Everyone who is either creative or strong is... | Lucy is old. | contradiction | (![X]:(generous(X)=>(creative(X)&~old(X))))&
(![X]:(~tall(X)<=>(~creative(X)<~>~quiet(X))))&
(![X]:((generous(X)&funny(X))<=>(~tall(X)<~>patient(X))))&
(![X]:((~kind(X)|quiet(X))<=>calm(X)))&
(![X]:((creative(X)<~>strong(X))<=>(calm(X)|~happy(X))))&
(![X]:((~patient(X)<~>generous(X))=>calm(X)))&
(![X]:(~old(X)=>(~wise(... | old(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7439718511438642322127634
% SZS output start Proof for 7439718511438642322127634
1. ! [X0] : (generous(X0) => (~old(X0) & creative(X0))) [input p0]
2. ! [X0] : (~tall(X0) <=> (~creative(X0) <~> ~quiet(X0))) [input p1]
3. ! [X0] : ((funny(X0) & generous(X0)) <=> (~tall(X0) <~> patient(X0))... | 0 |
Everyone who is quiet or kind is both not quiet and tall.
If paul is not rich then mary is both brave and not curious and vice versa.
If someone is not funny then paul is kind or not tall and vice versa.
If fred is either not funny or patient then someone is both not creative and not kind.
If someone is either not humb... | Mary is not tall. | contradiction | (![X]:((quiet(X)|kind(X))=>(~quiet(X)&tall(X))))&
((~rich(paul))<=>((brave(mary)&~curious(mary))))&
((?[X]:(~funny(X)))<=>((kind(paul)|~tall(paul))))&
(((~funny(fred)<~>patient(fred)))=>(?[X]:((~creative(X)&~kind(X)))))&
((?[X]:((~humble(X)<~>~generous(X))))=>(brave(mary)))&
(![X]:((~patient(X)&~wise(X))<=>(happy(X)|~q... | ~tall(mary) | [
"p0",
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4006624374247410260900043
% SZS output start Proof for 4006624374247410260900043
1. ! [X0] : ((kind(X0) | quiet(X0)) => (tall(X0) & ~quiet(X0))) [input p0]
6. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> (~quiet(X0) | happy(X0))) [input p5]
9. ! [X0] : (kind(X0) <=> (~rich(X0) & wise(X0))) [i... | 0 |
Everyone who is not humble is either not old or not humble and vice versa.
Everyone who is both not old and not funny is both not kind and curious.
If lucy is happy or patient then someone is both not generous and not patient and vice versa.
Everyone who is not happy or tall is both not happy and brave.
If someone is n... | Paul is not generous. | contradiction | (![X]:(~humble(X)<=>(~old(X)<~>~humble(X))))&
(![X]:((~old(X)&~funny(X))=>(~kind(X)&curious(X))))&
(((happy(lucy)|patient(lucy)))<=>(?[X]:((~generous(X)&~patient(X)))))&
(![X]:((~happy(X)|tall(X))=>(~happy(X)&brave(X))))&
((?[X]:((~humble(X)|tall(X))))<=>(?[X]:((~wise(X)|creative(X)))))&
(![X]:((brave(X)&old(X))<=>(~ge... | ~generous(paul) | [
"p0",
"p2",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9073500621289766198842320
% SZS output start Proof for 9073500621289766198842320
1. ! [X0] : (~humble(X0) <=> (~old(X0) <~> ~humble(X0))) [input p0]
3. (patient(lucy) | happy(lucy)) <=> ? [X0] : (~patient(X0) & ~generous(X0)) [input p2]
16. ! [X0] : ((~old(X0) <~> patient(X0)) <=> (~wise(... | 0 |
Everyone who is not old is both not curious and not funny and vice versa.
If paul is not humble or calm then someone is either not strong or not wise and vice versa.
If someone is funny or kind then someone is either generous or tall and vice versa.
Everyone who is both not funny and not quiet is either humble or stron... | Fred is not tall. | contradiction | (![X]:(~old(X)<=>(~curious(X)&~funny(X))))&
(((~humble(paul)|calm(paul)))<=>(?[X]:((~strong(X)<~>~wise(X)))))&
((?[X]:((funny(X)|kind(X))))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((~funny(X)&~quiet(X))<=>(humble(X)<~>strong(X))))&
(![X]:((~kind(X)&brave(X))<=>(calm(X)&~calm(X))))&
((?[X]:((funny(X)&tall(X))))=>(?[X... | ~tall(fred) | [
"p0",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4515231206724492199449451
% SZS output start Proof for 4515231206724492199449451
1. ! [X0] : (~old(X0) <=> (~funny(X0) & ~curious(X0))) [input p0]
9. ? [X0] : (~curious(X0) | creative(X0)) => (patient(lucy) & ~patient(lucy)) [input p8]
10. (~old(mary) & wise(mary)) <=> ? [X0] : (~tall(X0)... | 0 |
If someone is either not curious or brave then someone is both not creative and wise and vice versa.
Everyone who is either not humble or not old is funny or not funny and vice versa.
Everyone who is either not brave or humble is not happy or not quiet.
If fred is both patient and creative then paul is either old or br... | Lucy is not strong. | neutral | ((?[X]:((~curious(X)<~>brave(X))))<=>(?[X]:((~creative(X)&wise(X)))))&
(![X]:((~humble(X)<~>~old(X))<=>(funny(X)|~funny(X))))&
(![X]:((~brave(X)<~>humble(X))=>(~happy(X)|~quiet(X))))&
(((patient(fred)&creative(fred)))=>((old(paul)<~>brave(paul))))&
(![X]:(generous(X)<=>~quiet(X)))&
(![X]:((~wise(X)|generous(X))<=>~old(... | ~strong(lucy) | [] | null | 0 |
Everyone who is not tall is old or not calm.
If susan is kind or not patient then someone is quiet or not kind and vice versa.
Everyone who is not calm is both calm and not wise and vice versa.
If susan is both not funny and not kind then mary is either not generous or old and vice versa.
If someone is both brave and o... | Paul is not strong. | entailment | (![X]:(~tall(X)=>(old(X)|~calm(X))))&
(((kind(susan)|~patient(susan)))<=>(?[X]:((quiet(X)|~kind(X)))))&
(![X]:(~calm(X)<=>(calm(X)&~wise(X))))&
(((~funny(susan)&~kind(susan)))<=>((~generous(mary)<~>old(mary))))&
((?[X]:((brave(X)&old(X))))<=>(?[X]:((creative(X)&~old(X)))))&
(((tall(susan)|~wise(susan)))=>(?[X]:((~calm(... | ~strong(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 687595843632994791145584
% SZS output start Proof for 687595843632994791145584
11. ! [X0] : (~strong(X0) <=> (~happy(X0) | strong(X0))) [input p10]
22. strong(paul) [input hypothesis]
59. ! [X0] : ((~strong(X0) | (happy(X0) & ~strong(X0))) & ((~happy(X0) | strong(X0)) | strong(X0))) [nnf ... | 0 |
If someone is wise or not generous then alice is kind or not quiet and vice versa.
Everyone who is not funny is humble and vice versa.
If someone is old or not funny then someone is not old and vice versa.
If someone is both not kind and wise then someone is either brave or not rich.
Everyone who is not quiet is both n... | Fred is brave. | entailment | ((?[X]:((wise(X)|~generous(X))))<=>((kind(alice)|~quiet(alice))))&
(![X]:(~funny(X)<=>humble(X)))&
((?[X]:((old(X)|~funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:((~kind(X)&wise(X))))=>(?[X]:((brave(X)<~>~rich(X)))))&
(![X]:(~quiet(X)=>(~brave(X)&curious(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X))... | brave(fred) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8482193452563222280675387
% SZS output start Proof for 8482193452563222280675387
1. ? [X0] : (~generous(X0) | wise(X0)) <=> (~quiet(alice) | kind(alice)) [input p0]
2. ! [X0] : (~funny(X0) <=> humble(X0)) [input p1]
5. ! [X0] : (~quiet(X0) => (curious(X0) & ~brave(X0))) [input p4]
7. ? [X... | 0 |
Everyone who is either not generous or curious is both not rich and not old and vice versa.
If paul is either patient or not kind then susan is not wise and vice versa.
If someone is either rich or curious then alice is either curious or humble and vice versa.
Everyone who is both funny and not funny is patient and vic... | Alice is not strong. | entailment | (![X]:((~generous(X)<~>curious(X))<=>(~rich(X)&~old(X))))&
(((patient(paul)<~>~kind(paul)))<=>(~wise(susan)))&
((?[X]:((rich(X)<~>curious(X))))<=>((curious(alice)<~>humble(alice))))&
(![X]:((funny(X)&~funny(X))<=>patient(X)))&
((quiet(alice))=>(rich(fred)))&
(((~humble(paul)|~strong(paul)))=>(?[X]:(happy(X))))&
(![X]:(... | ~strong(alice) | [
"p0",
"p2",
"p3",
"p8",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3363627911311822896525405
% SZS output start Proof for 3363627911311822896525405
1. ! [X0] : ((~generous(X0) <~> curious(X0)) <=> (~old(X0) & ~rich(X0))) [input p0]
3. ? [X0] : (rich(X0) <~> curious(X0)) <=> (curious(alice) <~> humble(alice)) [input p2]
4. ! [X0] : ((~funny(X0) & funny(X0... | 0 |
If susan is both kind and not kind then lucy is either not patient or creative. Everyone who is both curious and quiet is both not tall and generous. Everyone who is either patient or brave is either not generous or old. Everyone who is creative or not rich is not humble or rich and vice versa. If alice is both not ric... | Mary is funny. | neutral | (((kind(susan)&~kind(susan)))=>((~patient(lucy)<~>creative(lucy))))&
(![X]:((curious(X)&quiet(X))=>(~tall(X)&generous(X))))&
(![X]:((patient(X)<~>brave(X))=>(~generous(X)<~>old(X))))&
(![X]:((creative(X)|~rich(X))<=>(~humble(X)|rich(X))))&
(((~rich(alice)&~calm(alice)))=>(?[X]:((creative(X)<~>~humble(X)))))&
(![X]:((~b... | funny(mary) | [] | null | 0 |
If someone is either strong or funny then fred is old or strong.
If someone is both not rich and brave then john is old or not patient.
Everyone who is not wise or not humble is not quiet.
If alice is tall then fred is both rich and not curious and vice versa.
Everyone who is humble or creative is both generous and not... | Alice is not tall. | neutral | ((?[X]:((strong(X)<~>funny(X))))=>((old(fred)|strong(fred))))&
((?[X]:((~rich(X)&brave(X))))=>((old(john)|~patient(john))))&
(![X]:((~wise(X)|~humble(X))=>~quiet(X)))&
((tall(alice))<=>((rich(fred)&~curious(fred))))&
(![X]:((humble(X)|creative(X))<=>(generous(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~creative(X)<~>rich(X)))... | ~tall(alice) | [] | null | 0 |
Everyone who is not strong or not rich is creative and vice versa. Everyone who is either strong or not rich is brave or quiet and vice versa. If alice is not generous then someone is both not quiet and not brave. Everyone who is either not humble or kind is generous or quiet and vice versa. Everyone who is not humble ... | Mary is humble. | contradiction | (![X]:((~strong(X)|~rich(X))<=>creative(X)))&
(![X]:((strong(X)<~>~rich(X))<=>(brave(X)|quiet(X))))&
((~generous(alice))=>(?[X]:((~quiet(X)&~brave(X)))))&
(![X]:((~humble(X)<~>kind(X))<=>(generous(X)|quiet(X))))&
(![X]:(~humble(X)=>(~tall(X)<~>kind(X))))&
((?[X]:((strong(X)<~>old(X))))=>((curious(paul)&wise(paul))))&
(... | humble(mary) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7109571863752687179140533
% SZS output start Proof for 7109571863752687179140533
7. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (~rich(X0) | ~old(X0))) [input p6]
14. ! [X0] : ((quiet(X0) | rich(X0)) <=> ~old(X0)) [input p13]
24. humble(mary) [input hypothesis]
42. ! [X0] : (((~humble(X0) ... | 0 |
If someone is kind then john is either tall or not patient. If someone is calm then someone is not rich or not creative. Everyone who is not kind is either not patient or creative. If alice is either not wise or not patient then susan is patient or generous. If paul is not old or humble then mary is not curious or not ... | Alice is tall. | neutral | ((?[X]:(kind(X)))=>((tall(john)<~>~patient(john))))&
((?[X]:(calm(X)))=>(?[X]:((~rich(X)|~creative(X)))))&
(![X]:(~kind(X)=>(~patient(X)<~>creative(X))))&
(((~wise(alice)<~>~patient(alice)))=>((patient(susan)|generous(susan))))&
(((~old(paul)|humble(paul)))=>((~curious(mary)|~brave(mary))))&
(![X]:(~humble(X)=>(generou... | tall(alice) | [] | null | 0 |
Everyone who is either tall or generous is calm or not generous and vice versa. Everyone who is not generous is both not tall and not quiet. If fred is strong then lucy is not brave or not curious. Everyone who is not quiet or generous is not humble and vice versa. If mary is not quiet then mary is funny or creative. I... | Alice is kind. | contradiction | (![X]:((tall(X)<~>generous(X))<=>(calm(X)|~generous(X))))&
(![X]:(~generous(X)=>(~tall(X)&~quiet(X))))&
((strong(fred))=>((~brave(lucy)|~curious(lucy))))&
(![X]:((~quiet(X)|generous(X))<=>~humble(X)))&
((~quiet(mary))=>((funny(mary)|creative(mary))))&
((?[X]:((~calm(X)<~>~kind(X))))<=>((~curious(susan)&~generous(susan)... | kind(alice) | [
"p0",
"p1",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1261546254400834975721102
% SZS output start Proof for 1261546254400834975721102
1. ! [X0] : ((tall(X0) <~> generous(X0)) <=> (~generous(X0) | calm(X0))) [input p0]
2. ! [X0] : (~generous(X0) => (~quiet(X0) & ~tall(X0))) [input p1]
6. ? [X0] : (~calm(X0) <~> ~kind(X0)) <=> (~generous(susa... | 0 |
If someone is funny or not brave then someone is generous or creative.
If alice is both not brave and not funny then someone is not patient and vice versa.
If alice is wise or creative then fred is both wise and kind.
Everyone who is happy or strong is both not strong and not curious.
If fred is humble or not funny the... | Alice is not happy. | entailment | ((?[X]:((funny(X)|~brave(X))))=>(?[X]:((generous(X)|creative(X)))))&
(((~brave(alice)&~funny(alice)))<=>(?[X]:(~patient(X))))&
(((wise(alice)|creative(alice)))=>((wise(fred)&kind(fred))))&
(![X]:((happy(X)|strong(X))=>(~strong(X)&~curious(X))))&
(((humble(fred)|~funny(fred)))=>(?[X]:((~brave(X)|generous(X)))))&
((~crea... | ~happy(alice) | [
"p3",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8157623845282025152706354
% SZS output start Proof for 8157623845282025152706354
4. ! [X0] : ((strong(X0) | happy(X0)) => (~curious(X0) & ~strong(X0))) [input p3]
9. ? [X0] : (~funny(X0) | strong(X0)) => (~funny(alice) & ~rich(alice)) [input p8]
10. ! [X0] : ((humble(X0) | wise(X0)) => pa... | 0 |
Everyone who is not quiet is both old and calm and vice versa. Everyone who is either patient or curious is either wise or strong and vice versa. Everyone who is kind is patient and vice versa. Everyone who is old is not old or old. If alice is either not old or rich then alice is either not humble or not patient and v... | Mary is not curious. | entailment | (![X]:(~quiet(X)<=>(old(X)&calm(X))))&
(![X]:((patient(X)<~>curious(X))<=>(wise(X)<~>strong(X))))&
(![X]:(kind(X)<=>patient(X)))&
(![X]:(old(X)=>(~old(X)|old(X))))&
(((~old(alice)<~>rich(alice)))<=>((~humble(alice)<~>~patient(alice))))&
((?[X]:((wise(X)|~tall(X))))=>(?[X]:(tall(X))))&
(![X]:((wise(X)&~patient(X))<=>~pa... | ~curious(mary) | [
"p1",
"p2",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2227420547632408439896987
% SZS output start Proof for 2227420547632408439896987
2. ! [X0] : ((patient(X0) <~> curious(X0)) <=> (wise(X0) <~> strong(X0))) [input p1]
3. ! [X0] : (kind(X0) <=> patient(X0)) [input p2]
7. ! [X0] : ((~patient(X0) & wise(X0)) <=> ~patient(X0)) [input p6]
8. ! ... | 0 |
If someone is patient then lucy is either generous or wise and vice versa. If paul is kind or not humble then someone is either brave or generous and vice versa. If someone is both not curious and tall then lucy is either tall or not kind. If fred is kind or not happy then someone is tall or not curious. If mary is eit... | Fred is not wise. | entailment | ((?[X]:(patient(X)))<=>((generous(lucy)<~>wise(lucy))))&
(((kind(paul)|~humble(paul)))<=>(?[X]:((brave(X)<~>generous(X)))))&
((?[X]:((~curious(X)&tall(X))))=>((tall(lucy)<~>~kind(lucy))))&
(((kind(fred)|~happy(fred)))=>(?[X]:((tall(X)|~curious(X)))))&
(((kind(mary)<~>~rich(mary)))=>((generous(fred)<~>rich(fred))))&
(![... | ~wise(fred) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3167652169063132083186348
% SZS output start Proof for 3167652169063132083186348
7. ! [X0] : (~rich(X0) <=> (wise(X0) | creative(X0))) [input p6]
12. ! [X0] : ((~strong(X0) & ~wise(X0)) <=> ~rich(X0)) [input p11]
22. wise(fred) [input hypothesis]
43. ! [X0] : ((~rich(X0) | (~wise(X0) & ~c... | 0 |
If someone is not patient then someone is not calm and vice versa.
Everyone who is either not rich or not generous is either tall or not tall and vice versa.
If someone is happy or curious then alice is either not kind or not old.
Everyone who is either quiet or not funny is both not generous and not wise.
If john is p... | John is creative. | contradiction | ((?[X]:(~patient(X)))<=>(?[X]:(~calm(X))))&
(![X]:((~rich(X)<~>~generous(X))<=>(tall(X)<~>~tall(X))))&
((?[X]:((happy(X)|curious(X))))=>((~kind(alice)<~>~old(alice))))&
(![X]:((quiet(X)<~>~funny(X))=>(~generous(X)&~wise(X))))&
(((patient(john)|tall(john)))=>(?[X]:((~old(X)|old(X)))))&
(![X]:(~rich(X)<=>(creative(X)|tal... | creative(john) | [
"p1",
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7364511374125831402709204
% SZS output start Proof for 7364511374125831402709204
2. ! [X0] : ((~rich(X0) <~> ~generous(X0)) <=> (tall(X0) <~> ~tall(X0))) [input p1]
6. ! [X0] : (~rich(X0) <=> (tall(X0) | creative(X0))) [input p5]
21. rich(john) | ~generous(john) [input p20]
25. creative(j... | 0 |
Everyone who is not happy or quiet is both not kind and not brave and vice versa.
If someone is both not quiet and not patient then someone is happy and vice versa.
If someone is patient then mary is either patient or creative.
If someone is both not humble and generous then someone is humble or strong and vice versa.
... | John is not strong. | neutral | (![X]:((~happy(X)|quiet(X))<=>(~kind(X)&~brave(X))))&
((?[X]:((~quiet(X)&~patient(X))))<=>(?[X]:(happy(X))))&
((?[X]:(patient(X)))=>((patient(mary)<~>creative(mary))))&
((?[X]:((~humble(X)&generous(X))))<=>(?[X]:((humble(X)|strong(X)))))&
(![X]:(calm(X)=>(~calm(X)<~>~old(X))))&
(![X]:((humble(X)|patient(X))<=>(wise(X)&... | ~strong(john) | [] | null | 0 |
Everyone who is not generous is patient and vice versa.
Everyone who is both not happy and not humble is happy and vice versa.
If mary is not creative then lucy is strong and vice versa.
Everyone who is both strong and not funny is either patient or tall.
Everyone who is either wise or not kind is not generous and vice... | Alice is calm. | neutral | (![X]:(~generous(X)<=>patient(X)))&
(![X]:((~happy(X)&~humble(X))<=>happy(X)))&
((~creative(mary))<=>(strong(lucy)))&
(![X]:((strong(X)&~funny(X))=>(patient(X)<~>tall(X))))&
(![X]:((wise(X)<~>~kind(X))<=>~generous(X)))&
((wise(mary))<=>(wise(john)))&
(![X]:(~wise(X)=>~quiet(X)))&
((~rich(fred))<=>(?[X]:((~humble(X)<~>h... | calm(alice) | [] | null | 0 |
If someone is both not kind and patient then paul is both not kind and tall.
If mary is not generous or not brave then someone is not calm or quiet.
If someone is both not patient and funny then someone is not calm or not generous.
If someone is patient then someone is not generous.
If someone is not creative or not ta... | Paul is not creative. | contradiction | ((?[X]:((~kind(X)&patient(X))))=>((~kind(paul)&tall(paul))))&
(((~generous(mary)|~brave(mary)))=>(?[X]:((~calm(X)|quiet(X)))))&
((?[X]:((~patient(X)&funny(X))))=>(?[X]:((~calm(X)|~generous(X)))))&
((?[X]:(patient(X)))=>(?[X]:(~generous(X))))&
((?[X]:((~creative(X)|~tall(X))))=>(?[X]:((happy(X)&quiet(X)))))&
(![X]:((cre... | ~creative(paul) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1882724437308594622173074
% SZS output start Proof for 1882724437308594622173074
5. ? [X0] : (~tall(X0) | ~creative(X0)) => ? [X0] : (quiet(X0) & happy(X0)) [input p4]
6. ! [X0] : ((quiet(X0) | creative(X0)) => (~quiet(X0) & ~happy(X0))) [input p5]
24. ~creative(paul) [input hypothesis]
2... | 0 |
Everyone who is either not wise or generous is curious and vice versa. Everyone who is either strong or wise is patient or not happy and vice versa. Everyone who is both not curious and not kind is either curious or generous and vice versa. If fred is both curious and not generous then someone is not creative. If susan... | Susan is creative. | contradiction | (![X]:((~wise(X)<~>generous(X))<=>curious(X)))&
(![X]:((strong(X)<~>wise(X))<=>(patient(X)|~happy(X))))&
(![X]:((~curious(X)&~kind(X))<=>(curious(X)<~>generous(X))))&
(((curious(fred)&~generous(fred)))=>(?[X]:(~creative(X))))&
((~kind(susan))<=>((tall(alice)<~>old(alice))))&
((?[X]:(~old(X)))<=>(?[X]:((happy(X)&~wise(X... | creative(susan) | [
"p6",
"p7",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 67291133194169605015604
% SZS output start Proof for 67291133194169605015604
7. ! [X0] : ((brave(X0) | ~strong(X0)) => old(X0)) [input p6]
8. ! [X0] : ((kind(X0) | creative(X0)) <=> (~creative(X0) <~> brave(X0))) [input p7]
18. ~humble(susan) & kind(susan) [input p17]
20. ~humble(susan) <... | 0 |
Everyone who is brave is both not tall and quiet.
If john is either not patient or not quiet then lucy is either kind or not wise.
Everyone who is creative or not humble is either not kind or not rich and vice versa.
Everyone who is either funny or curious is calm or not humble and vice versa.
Everyone who is kind or n... | Mary is not happy. | contradiction | (![X]:(brave(X)=>(~tall(X)&quiet(X))))&
(((~patient(john)<~>~quiet(john)))=>((kind(lucy)<~>~wise(lucy))))&
(![X]:((creative(X)|~humble(X))<=>(~kind(X)<~>~rich(X))))&
(![X]:((funny(X)<~>curious(X))<=>(calm(X)|~humble(X))))&
(![X]:((kind(X)|~happy(X))<=>(curious(X)<~>~humble(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(... | ~happy(mary) | [
"p0",
"p3",
"p4",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5155953809314827774803531
% SZS output start Proof for 5155953809314827774803531
1. ! [X0] : (brave(X0) => (quiet(X0) & ~tall(X0))) [input p0]
4. ! [X0] : ((funny(X0) <~> curious(X0)) <=> (~humble(X0) | calm(X0))) [input p3]
5. ! [X0] : ((~happy(X0) | kind(X0)) <=> (curious(X0) <~> ~humbl... | 0 |
If someone is not strong or tall then someone is not wise or curious.
Everyone who is either not wise or patient is strong and vice versa.
If someone is not tall then alice is either creative or not old and vice versa.
If someone is not creative then susan is both not kind and rich.
If someone is not tall or not curiou... | Lucy is humble. | contradiction | ((?[X]:((~strong(X)|tall(X))))=>(?[X]:((~wise(X)|curious(X)))))&
(![X]:((~wise(X)<~>patient(X))<=>strong(X)))&
((?[X]:(~tall(X)))<=>((creative(alice)<~>~old(alice))))&
((?[X]:(~creative(X)))=>((~kind(susan)&rich(susan))))&
((?[X]:((~tall(X)|~curious(X))))=>(?[X]:((~kind(X)|funny(X)))))&
((?[X]:((~generous(X)|happy(X)))... | humble(lucy) | [
"p6",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3761163576595416497791824
% SZS output start Proof for 3761163576595416497791824
7. ! [X0] : ((calm(X0) | strong(X0)) => (old(X0) & happy(X0))) [input p6]
8. ! [X0] : (old(X0) <=> strong(X0)) [input p7]
9. ! [X0] : ((~curious(X0) & ~brave(X0)) <=> (happy(X0) & strong(X0))) [input p8]
12. ... | 0 |
If someone is either not wise or wise then alice is either not quiet or calm and vice versa.
Everyone who is brave is either patient or funny.
Everyone who is either not wise or not rich is wise.
Everyone who is both not creative and not curious is not tall or not creative and vice versa.
If john is either not creative... | John is calm. | neutral | ((?[X]:((~wise(X)<~>wise(X))))<=>((~quiet(alice)<~>calm(alice))))&
(![X]:(brave(X)=>(patient(X)<~>funny(X))))&
(![X]:((~wise(X)<~>~rich(X))=>wise(X)))&
(![X]:((~creative(X)&~curious(X))<=>(~tall(X)|~creative(X))))&
(((~creative(john)<~>~kind(john)))<=>((kind(paul)&calm(paul))))&
(![X]:((~wise(X)&~humble(X))=>(~generous... | calm(john) | [] | null | 0 |
Everyone who is quiet or curious is both brave and not patient.
Everyone who is not happy is either not strong or not funny and vice versa.
Everyone who is kind or not rich is not strong and vice versa.
Everyone who is both curious and not curious is quiet or not funny.
If someone is not patient then mary is not patien... | Fred is not funny. | entailment | (![X]:((quiet(X)|curious(X))=>(brave(X)&~patient(X))))&
(![X]:(~happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((kind(X)|~rich(X))<=>~strong(X)))&
(![X]:((curious(X)&~curious(X))=>(quiet(X)|~funny(X))))&
((?[X]:(~patient(X)))<=>(~patient(mary)))&
((strong(john))<=>((generous(mary)|creative(mary))))&
((tall(lucy))<=>((~pa... | ~funny(fred) | [
"p0",
"p11",
"p12",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7954428726700088821175831
% SZS output start Proof for 7954428726700088821175831
1. ! [X0] : ((curious(X0) | quiet(X0)) => (~patient(X0) & brave(X0))) [input p0]
12. (happy(lucy) | ~kind(lucy)) <=> ? [X0] : (brave(X0) & funny(X0)) [input p11]
13. ! [X0] : (~happy(X0) <=> kind(X0)) [input ... | 0 |
Everyone who is not patient or not calm is both not curious and not happy and vice versa.
Everyone who is either not kind or creative is not creative.
If someone is not quiet or not brave then someone is creative or not curious and vice versa.
If someone is both happy and funny then someone is both tall and rich.
If so... | John is not rich. | entailment | (![X]:((~patient(X)|~calm(X))<=>(~curious(X)&~happy(X))))&
(![X]:((~kind(X)<~>creative(X))=>~creative(X)))&
((?[X]:((~quiet(X)|~brave(X))))<=>(?[X]:((creative(X)|~curious(X)))))&
((?[X]:((happy(X)&funny(X))))=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:(patient(X)))<=>(happy(lucy)))&
(![X]:((~creative(X)<~>~brave(X))=>(happy(... | ~rich(john) | [
"p0",
"p5",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8163137067335502798402746
% SZS output start Proof for 8163137067335502798402746
1. ! [X0] : ((~calm(X0) | ~patient(X0)) <=> (~happy(X0) & ~curious(X0))) [input p0]
6. ! [X0] : ((~creative(X0) <~> ~brave(X0)) => (happy(X0) <~> patient(X0))) [input p5]
9. ! [X0] : ((happy(X0) <~> ~brave(X0... | 0 |
Everyone who is both not generous and not humble is strong or happy.
If someone is both not patient and not strong then alice is not humble or not patient and vice versa.
If susan is either generous or not quiet then someone is tall and vice versa.
Everyone who is both old and not rich is calm or not calm.
If lucy is n... | Susan is not generous. | contradiction | (![X]:((~generous(X)&~humble(X))=>(strong(X)|happy(X))))&
((?[X]:((~patient(X)&~strong(X))))<=>((~humble(alice)|~patient(alice))))&
(((generous(susan)<~>~quiet(susan)))<=>(?[X]:(tall(X))))&
(![X]:((old(X)&~rich(X))=>(calm(X)|~calm(X))))&
(((~brave(lucy)|~strong(lucy)))<=>(~generous(mary)))&
(((~old(lucy)|~rich(lucy)))<... | ~generous(susan) | [
"p2",
"p7",
"p11",
"p12",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8819507171416340080876501
% SZS output start Proof for 8819507171416340080876501
3. (generous(susan) <~> ~quiet(susan)) <=> ? [X0] : tall(X0) [input p2]
8. ? [X0] : (~quiet(X0) | kind(X0)) <=> ~curious(fred) [input p7]
12. ! [X0] : ((funny(X0) <~> ~quiet(X0)) <=> (patient(X0) <~> happy(X0... | 0 |
Everyone who is humble is rich and vice versa.
If someone is either not kind or not quiet then paul is not rich and vice versa.
Everyone who is either happy or not curious is both not wise and not strong and vice versa.
Everyone who is tall or not generous is not brave or generous and vice versa.
If someone is quiet or... | John is not strong. | neutral | (![X]:(humble(X)<=>rich(X)))&
((?[X]:((~kind(X)<~>~quiet(X))))<=>(~rich(paul)))&
(![X]:((happy(X)<~>~curious(X))<=>(~wise(X)&~strong(X))))&
(![X]:((tall(X)|~generous(X))<=>(~brave(X)|generous(X))))&
((?[X]:((quiet(X)|calm(X))))=>(?[X]:((patient(X)|~quiet(X)))))&
(![X]:(kind(X)=>(~old(X)|~curious(X))))&
(![X]:((quiet(X)... | ~strong(john) | [] | null | 0 |
If someone is both patient and not calm then someone is both kind and not tall.
If susan is tall then alice is either wise or generous.
If fred is curious then alice is not curious and vice versa.
Everyone who is either not wise or rich is generous.
If someone is not tall then someone is either not generous or not wise... | John is not kind. | entailment | ((?[X]:((patient(X)&~calm(X))))=>(?[X]:((kind(X)&~tall(X)))))&
((tall(susan))=>((wise(alice)<~>generous(alice))))&
((curious(fred))<=>(~curious(alice)))&
(![X]:((~wise(X)<~>rich(X))=>generous(X)))&
((?[X]:(~tall(X)))=>(?[X]:((~generous(X)<~>~wise(X)))))&
((?[X]:((~tall(X)<~>tall(X))))<=>(?[X]:((~strong(X)<~>~humble(X))... | ~kind(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5848280961301499431668584
% SZS output start Proof for 5848280961301499431668584
7. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> ~kind(X0)) [input p6]
25. kind(john) [input hypothesis]
49. ! [X0] : ((((~kind(X0) | kind(X0)) & (kind(X0) | ~kind(X0))) | kind(X0)) & (~kind(X0) | ((~kind(X0) | ~kin... | 0 |
Everyone who is patient or not patient is calm or not quiet.
If paul is tall then fred is both kind and not happy and vice versa.
Everyone who is both brave and old is not tall and vice versa.
If john is not rich or not tall then paul is both wise and generous.
Everyone who is funny or calm is both not tall and wise an... | Paul is not kind. | neutral | (![X]:((patient(X)|~patient(X))=>(calm(X)|~quiet(X))))&
((tall(paul))<=>((kind(fred)&~happy(fred))))&
(![X]:((brave(X)&old(X))<=>~tall(X)))&
(((~rich(john)|~tall(john)))=>((wise(paul)&generous(paul))))&
(![X]:((funny(X)|calm(X))<=>(~tall(X)&wise(X))))&
(![X]:(tall(X)=>(funny(X)&~happy(X))))&
(((~humble(lucy)|~calm(lucy... | ~kind(paul) | [] | null | 0 |
If susan is both calm and not kind then lucy is brave or kind. Everyone who is humble or generous is either happy or not quiet. If someone is either not humble or rich then someone is brave. Everyone who is not humble or not brave is not tall or not patient and vice versa. If susan is both quiet and not kind then alice... | Alice is not happy. | contradiction | (((calm(susan)&~kind(susan)))=>((brave(lucy)|kind(lucy))))&
(![X]:((humble(X)|generous(X))=>(happy(X)<~>~quiet(X))))&
((?[X]:((~humble(X)<~>rich(X))))=>(?[X]:(brave(X))))&
(![X]:((~humble(X)|~brave(X))<=>(~tall(X)|~patient(X))))&
(((quiet(susan)&~kind(susan)))=>((~rich(alice)|~creative(alice))))&
(![X]:((~happy(X)&happ... | ~happy(alice) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5277365385933397038649135
% SZS output start Proof for 5277365385933397038649135
6. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (curious(X0) | funny(X0))) [input p5]
10. ! [X0] : ((~funny(X0) | ~happy(X0)) => (happy(X0) & wise(X0))) [input p9]
21. ~happy(alice) [input hypothesis]
33. ! [X0] : ... | 0 |
Everyone who is not tall is funny or not brave and vice versa. Everyone who is not creative or not tall is both strong and not generous. Everyone who is both generous and not quiet is calm. If susan is brave or not kind then someone is either not calm or patient and vice versa. Everyone who is both old and generous is ... | Alice is not curious. | contradiction | (![X]:(~tall(X)<=>(funny(X)|~brave(X))))&
(![X]:((~creative(X)|~tall(X))=>(strong(X)&~generous(X))))&
(![X]:((generous(X)&~quiet(X))=>calm(X)))&
(((brave(susan)|~kind(susan)))<=>(?[X]:((~calm(X)<~>patient(X)))))&
(![X]:((old(X)&generous(X))=>old(X)))&
(![X]:(curious(X)<=>(~creative(X)<~>funny(X))))&
(![X]:((~happy(X)<~... | ~curious(alice) | [
"p5",
"p7",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8597892908309850311340801
% SZS output start Proof for 8597892908309850311340801
6. ! [X0] : (curious(X0) <=> (~creative(X0) <~> funny(X0))) [input p5]
8. ! [X0] : ((~brave(X0) | brave(X0)) => ~patient(X0)) [input p7]
11. ! [X0] : ((creative(X0) & ~patient(X0)) => (~happy(X0) <~> rich(X0)... | 0 |
Everyone who is both strong and not kind is either funny or patient.
If mary is not rich then someone is either not patient or rich and vice versa.
If alice is calm then someone is patient and vice versa.
Everyone who is not wise or happy is not creative and vice versa.
Everyone who is not funny or humble is both not c... | John is not brave. | contradiction | (![X]:((strong(X)&~kind(X))=>(funny(X)<~>patient(X))))&
((~rich(mary))<=>(?[X]:((~patient(X)<~>rich(X)))))&
((calm(alice))<=>(?[X]:(patient(X))))&
(![X]:((~wise(X)|happy(X))<=>~creative(X)))&
(![X]:((~funny(X)|humble(X))=>(~calm(X)&~old(X))))&
(![X]:(~creative(X)<=>(patient(X)<~>~happy(X))))&
((?[X]:(creative(X)))<=>(?... | ~brave(john) | [
"p3",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3879258732059346181590494
% SZS output start Proof for 3879258732059346181590494
4. ! [X0] : ((happy(X0) | ~wise(X0)) <=> ~creative(X0)) [input p3]
7. ? [X0] : creative(X0) <=> ? [X0] : (happy(X0) <~> brave(X0)) [input p6]
16. ! [X0] : (happy(X0) <=> (~happy(X0) | patient(X0))) [input p15... | 0 |
If fred is either not humble or tall then someone is patient and vice versa.
If someone is curious or not old then susan is both tall and not rich and vice versa.
If mary is not patient or not rich then paul is not creative.
If fred is tall then someone is kind or not tall.
Everyone who is both creative and not calm is... | Fred is wise. | entailment | (((~humble(fred)<~>tall(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((curious(X)|~old(X))))<=>((tall(susan)&~rich(susan))))&
(((~patient(mary)|~rich(mary)))=>(~creative(paul)))&
((tall(fred))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:((creative(X)&~calm(X))=>(tall(X)|~kind(X))))&
((?[X]:((~quiet(X)|~old(X))))<=>((~patient(fred)&... | wise(fred) | [
"p5",
"p8",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5997310579648641035951756
% SZS output start Proof for 5997310579648641035951756
6. ? [X0] : (~old(X0) | ~quiet(X0)) <=> (~happy(fred) & ~patient(fred)) [input p5]
9. ~quiet(alice) <=> (rich(alice) | ~old(alice)) [input p8]
10. ! [X0] : (rich(X0) <=> (~tall(X0) | ~creative(X0))) [input p9... | 0 |
If someone is wise or kind then mary is both not tall and generous and vice versa.
Everyone who is patient or not old is not humble or not brave.
If mary is brave then paul is either not rich or not wise and vice versa.
If mary is both generous and not old then someone is both calm and quiet.
Everyone who is quiet is b... | Paul is patient. | neutral | ((?[X]:((wise(X)|kind(X))))<=>((~tall(mary)&generous(mary))))&
(![X]:((patient(X)|~old(X))=>(~humble(X)|~brave(X))))&
((brave(mary))<=>((~rich(paul)<~>~wise(paul))))&
(((generous(mary)&~old(mary)))=>(?[X]:((calm(X)&quiet(X)))))&
(![X]:(quiet(X)<=>(brave(X)|humble(X))))&
(![X]:(~rich(X)<=>kind(X)))&
(![X]:((strong(X)&qu... | patient(paul) | [] | null | 0 |
Everyone who is both tall and wise is not strong or not brave and vice versa. If someone is both humble and not old then someone is either not creative or not happy and vice versa. Everyone who is either kind or calm is both strong and not creative and vice versa. If fred is either not generous or patient then alice is... | Alice is calm. | contradiction | (![X]:((tall(X)&wise(X))<=>(~strong(X)|~brave(X))))&
((?[X]:((humble(X)&~old(X))))<=>(?[X]:((~creative(X)<~>~happy(X)))))&
(![X]:((kind(X)<~>calm(X))<=>(strong(X)&~creative(X))))&
(((~generous(fred)<~>patient(fred)))<=>((~brave(alice)|~creative(alice))))&
((?[X]:((quiet(X)<~>~calm(X))))<=>((~funny(fred)<~>~calm(fred)))... | calm(alice) | [
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2517841620916506756132057
% SZS output start Proof for 2517841620916506756132057
8. ! [X0] : ((~strong(X0) <~> patient(X0)) <=> patient(X0)) [input p7]
12. ! [X0] : ((kind(X0) & ~strong(X0)) <=> (~kind(X0) | ~brave(X0))) [input p11]
14. ? [X0] : brave(X0) => (curious(alice) & ~calm(alice)... | 0 |
Everyone who is either calm or strong is calm or funny and vice versa.
If someone is either not rich or not strong then alice is both not funny and not rich.
If someone is either patient or not tall then fred is strong or funny.
Everyone who is not wise is happy and vice versa.
Everyone who is both not old and tall is ... | Fred is generous. | entailment | (![X]:((calm(X)<~>strong(X))<=>(calm(X)|funny(X))))&
((?[X]:((~rich(X)<~>~strong(X))))=>((~funny(alice)&~rich(alice))))&
((?[X]:((patient(X)<~>~tall(X))))=>((strong(fred)|funny(fred))))&
(![X]:(~wise(X)<=>happy(X)))&
(![X]:((~old(X)&tall(X))<=>(calm(X)<~>~old(X))))&
(![X]:((~curious(X)&calm(X))<=>~strong(X)))&
(![X]:(o... | generous(fred) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3988745151974675853408907
% SZS output start Proof for 3988745151974675853408907
1. ! [X0] : ((calm(X0) <~> strong(X0)) <=> (funny(X0) | calm(X0))) [input p0]
2. ? [X0] : (~rich(X0) <~> ~strong(X0)) => (~rich(alice) & ~funny(alice)) [input p1]
4. ! [X0] : (~wise(X0) <=> happy(X0)) [input ... | 0 |
Everyone who is either humble or not rich is not creative or not tall and vice versa.
Everyone who is patient or not quiet is both not kind and not rich and vice versa.
Everyone who is both humble and not strong is either creative or curious and vice versa.
Everyone who is both not creative and not tall is quiet or hap... | Fred is not kind. | entailment | (![X]:((humble(X)<~>~rich(X))<=>(~creative(X)|~tall(X))))&
(![X]:((patient(X)|~quiet(X))<=>(~kind(X)&~rich(X))))&
(![X]:((humble(X)&~strong(X))<=>(creative(X)<~>curious(X))))&
(![X]:((~creative(X)&~tall(X))<=>(quiet(X)|happy(X))))&
(((~generous(fred)|old(fred)))=>(?[X]:(happy(X))))&
(![X]:((calm(X)&~generous(X))<=>(cal... | ~kind(fred) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 614620410521219357666707
% SZS output start Proof for 614620410521219357666707
2. ! [X0] : ((~quiet(X0) | patient(X0)) <=> (~rich(X0) & ~kind(X0))) [input p1]
16. ! [X0] : ((old(X0) & ~kind(X0)) <=> quiet(X0)) [input p15]
24. kind(fred) [input hypothesis]
35. ! [X0] : (((~quiet(X0) | pati... | 0 |
Everyone who is not kind is both not kind and curious. If someone is not creative or strong then someone is both wise and not brave and vice versa. Everyone who is kind is both funny and quiet. Everyone who is both not happy and happy is not generous or happy and vice versa. If someone is not kind or tall then alice is... | John is not brave. | contradiction | (![X]:(~kind(X)=>(~kind(X)&curious(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(kind(X)=>(funny(X)&quiet(X))))&
(![X]:((~happy(X)&happy(X))<=>(~generous(X)|happy(X))))&
((?[X]:((~kind(X)|tall(X))))=>((~funny(alice)&curious(alice))))&
((?[X]:((~patient(X)<~>funny(X))))=>((~funny(paul... | ~brave(john) | [
"p1",
"p3",
"p7",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9144883413010919900261945
% SZS output start Proof for 9144883413010919900261945
2. ? [X0] : (strong(X0) | ~creative(X0)) <=> ? [X0] : (~brave(X0) & wise(X0)) [input p1]
4. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (happy(X0) | ~generous(X0))) [input p3]
8. ? [X0] : (wise(X0) <~> happy(X0)) ... | 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 curious. | contradiction | (![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)))... | ~curious(susan) | [
"p0",
"p7",
"p10",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 709343477897841291517534
% SZS output start Proof for 709343477897841291517534
1. ! [X0] : ((rich(X0) | ~funny(X0)) => (rich(X0) <~> brave(X0))) [input p0]
8. ! [X0] : ((~funny(X0) | ~curious(X0)) <=> rich(X0)) [input p7]
11. ! [X0] : ((~old(X0) & brave(X0)) <=> (calm(X0) | ~happy(X0))) [... | 0 |
If fred is both not kind and not wise then paul is brave.
Everyone who is brave is both not brave and not happy and vice versa.
If someone is either kind or happy then someone is both not kind and not creative and vice versa.
Everyone who is creative is both quiet and old.
Everyone who is not wise or humble is creative... | John is quiet. | entailment | (((~kind(fred)&~wise(fred)))=>(brave(paul)))&
(![X]:(brave(X)<=>(~brave(X)&~happy(X))))&
((?[X]:((kind(X)<~>happy(X))))<=>(?[X]:((~kind(X)&~creative(X)))))&
(![X]:(creative(X)=>(quiet(X)&old(X))))&
(![X]:((~wise(X)|humble(X))<=>(creative(X)|~strong(X))))&
(![X]:((funny(X)&strong(X))<=>(funny(X)<~>curious(X))))&
(![X]:(... | quiet(john) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5165803472767623218777929
% SZS output start Proof for 5165803472767623218777929
2. ! [X0] : (brave(X0) <=> (~happy(X0) & ~brave(X0))) [input p1]
3. ? [X0] : (kind(X0) <~> happy(X0)) <=> ? [X0] : (~creative(X0) & ~kind(X0)) [input p2]
4. ! [X0] : (creative(X0) => (old(X0) & quiet(X0))) [i... | 0 |
Everyone who is patient is quiet and vice versa.
If lucy is not kind then someone is tall or not brave.
Everyone who is both brave and kind is either kind or happy.
Everyone who is either not brave or tall is either generous or not humble.
Everyone who is either not curious or not happy is not generous.
If someone is n... | Paul is humble. | neutral | (![X]:(patient(X)<=>quiet(X)))&
((~kind(lucy))=>(?[X]:((tall(X)|~brave(X)))))&
(![X]:((brave(X)&kind(X))=>(kind(X)<~>happy(X))))&
(![X]:((~brave(X)<~>tall(X))=>(generous(X)<~>~humble(X))))&
(![X]:((~curious(X)<~>~happy(X))=>~generous(X)))&
((?[X]:((~old(X)|~tall(X))))<=>((curious(fred)<~>~quiet(fred))))&
(![X]:((~gener... | humble(paul) | [] | null | 0 |
If someone is either not happy or generous then alice is funny.
If someone is either humble or kind then someone is both not brave and not patient.
Everyone who is strong is generous or happy and vice versa.
Everyone who is not patient is creative and vice versa.
If someone is happy or not tall then someone is both not... | Alice is not old. | entailment | ((?[X]:((~happy(X)<~>generous(X))))=>(funny(alice)))&
((?[X]:((humble(X)<~>kind(X))))=>(?[X]:((~brave(X)&~patient(X)))))&
(![X]:(strong(X)<=>(generous(X)|happy(X))))&
(![X]:(~patient(X)<=>creative(X)))&
((?[X]:((happy(X)|~tall(X))))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:(~creative(X)<=>(old(X)&wise(X))))&
(![X]:((~st... | ~old(alice) | [
"p0",
"p2",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4255887848981080401887987
% SZS output start Proof for 4255887848981080401887987
1. ? [X0] : (~happy(X0) <~> generous(X0)) => funny(alice) [input p0]
3. ! [X0] : (strong(X0) <=> (happy(X0) | generous(X0))) [input p2]
10. ! [X0] : (brave(X0) <=> (old(X0) | quiet(X0))) [input p9]
15. ! [X0]... | 0 |
Everyone who is both not old and not patient is generous.
If lucy is rich or quiet then someone is not brave and vice versa.
Everyone who is either tall or not happy is quiet or not humble and vice versa.
If susan is either funny or not wise then someone is either not funny or not calm.
Everyone who is not happy is hum... | John is not old. | neutral | (![X]:((~old(X)&~patient(X))=>generous(X)))&
(((rich(lucy)|quiet(lucy)))<=>(?[X]:(~brave(X))))&
(![X]:((tall(X)<~>~happy(X))<=>(quiet(X)|~humble(X))))&
(((funny(susan)<~>~wise(susan)))=>(?[X]:((~funny(X)<~>~calm(X)))))&
(![X]:(~happy(X)<=>humble(X)))&
(((wise(susan)|~rich(susan)))=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]... | ~old(john) | [] | null | 0 |
Everyone who is not happy or not strong is strong or not quiet.
Everyone who is strong is not humble or wise and vice versa.
Everyone who is both old and not generous is either humble or quiet and vice versa.
Everyone who is either funny or wise is either strong or tall.
Everyone who is both not generous and happy is e... | Mary is patient. | contradiction | (![X]:((~happy(X)|~strong(X))=>(strong(X)|~quiet(X))))&
(![X]:(strong(X)<=>(~humble(X)|wise(X))))&
(![X]:((old(X)&~generous(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((funny(X)<~>wise(X))=>(strong(X)<~>tall(X))))&
(![X]:((~generous(X)&happy(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((creative(X)|generous(X))=>(~wise(X)&~b... | patient(mary) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p7",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7014184339361204226626883
% SZS output start Proof for 7014184339361204226626883
1. ! [X0] : ((~strong(X0) | ~happy(X0)) => (~quiet(X0) | strong(X0))) [input p0]
2. ! [X0] : (strong(X0) <=> (wise(X0) | ~humble(X0))) [input p1]
3. ! [X0] : ((~generous(X0) & old(X0)) <=> (humble(X0) <~> qui... | 0 |
If mary is both not old and brave then susan is both generous and curious and vice versa.
If someone is not humble then someone is brave.
If someone is either not strong or wise then someone is either generous or kind.
Everyone who is either not wise or tall is both not happy and not creative.
Everyone who is both not ... | Lucy is calm. | entailment | (((~old(mary)&brave(mary)))<=>((generous(susan)&curious(susan))))&
((?[X]:(~humble(X)))=>(?[X]:(brave(X))))&
((?[X]:((~strong(X)<~>wise(X))))=>(?[X]:((generous(X)<~>kind(X)))))&
(![X]:((~wise(X)<~>tall(X))=>(~happy(X)&~creative(X))))&
(![X]:((~humble(X)&~kind(X))=>(~quiet(X)<~>~generous(X))))&
(((humble(alice)&kind(ali... | calm(lucy) | [
"p3",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7421992150925560813287161
% SZS output start Proof for 7421992150925560813287161
4. ! [X0] : ((~wise(X0) <~> tall(X0)) => (~creative(X0) & ~happy(X0))) [input p3]
10. ! [X0] : (creative(X0) => (happy(X0) & wise(X0))) [input p9]
15. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> (calm(X0) & ~qu... | 0 |
Everyone who is kind or not curious is either creative or not rich.
Everyone who is strong is not patient or patient.
If susan is not patient or not humble then someone is both not tall and creative and vice versa.
Everyone who is wise is either not calm or not funny and vice versa.
Everyone who is not patient is eithe... | Susan is rich. | neutral | (![X]:((kind(X)|~curious(X))=>(creative(X)<~>~rich(X))))&
(![X]:(strong(X)=>(~patient(X)|patient(X))))&
(((~patient(susan)|~humble(susan)))<=>(?[X]:((~tall(X)&creative(X)))))&
(![X]:(wise(X)<=>(~calm(X)<~>~funny(X))))&
(![X]:(~patient(X)<=>(~old(X)<~>rich(X))))&
((?[X]:((~quiet(X)&~brave(X))))<=>((~patient(fred)|strong... | rich(susan) | [] | null | 0 |
If susan is not kind then susan is either brave or patient.
Everyone who is either creative or not humble is not creative.
If lucy is curious or not wise then mary is both not kind and wise.
Everyone who is rich or humble is both curious and tall and vice versa.
Everyone who is both kind and patient is both not happy a... | Susan is patient. | neutral | ((~kind(susan))=>((brave(susan)<~>patient(susan))))&
(![X]:((creative(X)<~>~humble(X))=>~creative(X)))&
(((curious(lucy)|~wise(lucy)))=>((~kind(mary)&wise(mary))))&
(![X]:((rich(X)|humble(X))<=>(curious(X)&tall(X))))&
(![X]:((kind(X)&patient(X))<=>(~happy(X)&funny(X))))&
(![X]:((~brave(X)|old(X))<=>(brave(X)&~strong(X)... | patient(susan) | [] | null | 0 |
Everyone who is humble or not creative is not calm.
Everyone who is happy or not rich is either not generous or creative.
Everyone who is both not generous and wise is curious or not happy and vice versa.
Everyone who is not tall is either strong or not tall.
Everyone who is both not curious and brave is not kind or no... | Susan is not quiet. | entailment | (![X]:((humble(X)|~creative(X))=>~calm(X)))&
(![X]:((happy(X)|~rich(X))=>(~generous(X)<~>creative(X))))&
(![X]:((~generous(X)&wise(X))<=>(curious(X)|~happy(X))))&
(![X]:(~tall(X)=>(strong(X)<~>~tall(X))))&
(![X]:((~curious(X)&brave(X))<=>(~kind(X)|~curious(X))))&
(![X]:(kind(X)=>old(X)))&
((quiet(john))<=>(?[X]:((~wise... | ~quiet(susan) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5352044284375164739329522
% SZS output start Proof for 5352044284375164739329522
1. ! [X0] : ((~creative(X0) | humble(X0)) => ~calm(X0)) [input p0]
2. ! [X0] : ((~rich(X0) | happy(X0)) => (~generous(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (~happy(X0) ... | 0 |
If john is brave then lucy is not curious and vice versa.
Everyone who is not kind is either quiet or not creative.
If fred is either calm or not rich then someone is both curious and not rich and vice versa.
Everyone who is not brave is both not curious and not happy and vice versa.
If someone is not humble or not pat... | Paul is humble. | neutral | ((brave(john))<=>(~curious(lucy)))&
(![X]:(~kind(X)=>(quiet(X)<~>~creative(X))))&
(((calm(fred)<~>~rich(fred)))<=>(?[X]:((curious(X)&~rich(X)))))&
(![X]:(~brave(X)<=>(~curious(X)&~happy(X))))&
((?[X]:((~humble(X)|~patient(X))))=>(?[X]:(strong(X))))&
(![X]:((tall(X)|~calm(X))<=>(~creative(X)|calm(X))))&
(((~wise(paul)|~... | humble(paul) | [] | null | 0 |
Everyone who is not old is either not humble or happy. If susan is both kind and quiet then alice is not old or funny and vice versa. Everyone who is not brave is either patient or not rich. If someone is either not strong or rich then john is quiet or tall and vice versa. If susan is not kind or tall then lucy is both... | Paul is wise. | contradiction | (![X]:(~old(X)=>(~humble(X)<~>happy(X))))&
(((kind(susan)&quiet(susan)))<=>((~old(alice)|funny(alice))))&
(![X]:(~brave(X)=>(patient(X)<~>~rich(X))))&
((?[X]:((~strong(X)<~>rich(X))))<=>((quiet(john)|tall(john))))&
(((~kind(susan)|tall(susan)))<=>((~brave(lucy)&~tall(lucy))))&
((?[X]:((~kind(X)&old(X))))<=>(?[X]:((humb... | wise(paul) | [
"p4",
"p10",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 303884142522980128125254
% SZS output start Proof for 303884142522980128125254
5. (tall(susan) | ~kind(susan)) <=> (~tall(lucy) & ~brave(lucy)) [input p4]
11. ! [X0] : (wise(X0) => (tall(X0) & ~creative(X0))) [input p10]
15. ? [X0] : wise(X0) <=> (~generous(lucy) & wise(lucy)) [input p14]... | 0 |
If someone is both calm and brave then someone is both calm and not strong and vice versa.
If paul is either happy or calm then fred is both patient and not quiet.
Everyone who is either rich or not rich is not creative and vice versa.
If someone is either calm or old then someone is not generous.
Everyone who is eithe... | Fred is generous. | entailment | ((?[X]:((calm(X)&brave(X))))<=>(?[X]:((calm(X)&~strong(X)))))&
(((happy(paul)<~>calm(paul)))=>((patient(fred)&~quiet(fred))))&
(![X]:((rich(X)<~>~rich(X))<=>~creative(X)))&
((?[X]:((calm(X)<~>old(X))))=>(?[X]:(~generous(X))))&
(![X]:((~patient(X)<~>~calm(X))=>~old(X)))&
(![X]:((~funny(X)&calm(X))=>~creative(X)))&
(![X]... | generous(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2497018003896062229440532
% SZS output start Proof for 2497018003896062229440532
16. ! [X0] : ((~generous(X0) | ~curious(X0)) => generous(X0)) [input p15]
23. ~generous(fred) [input hypothesis]
35. ! [X0] : (generous(X0) | (generous(X0) & curious(X0))) [ennf transformation 16]
115. genero... | 0 |
If mary is both generous and not old then someone is either old or not tall and vice versa.
Everyone who is old is either brave or wise.
If someone is either not happy or not funny then someone is either not old or funny and vice versa.
If someone is brave then someone is not strong.
Everyone who is either tall or rich... | Alice is not happy. | neutral | (((generous(mary)&~old(mary)))<=>(?[X]:((old(X)<~>~tall(X)))))&
(![X]:(old(X)=>(brave(X)<~>wise(X))))&
((?[X]:((~happy(X)<~>~funny(X))))<=>(?[X]:((~old(X)<~>funny(X)))))&
((?[X]:(brave(X)))=>(?[X]:(~strong(X))))&
(![X]:((tall(X)<~>rich(X))=>(patient(X)&~creative(X))))&
(((~rich(paul)&~old(paul)))<=>(?[X]:((patient(X)|~... | ~happy(alice) | [] | null | 0 |
If someone is both calm and old then lucy is either not tall or calm. If john is either humble or not old then someone is both not curious and not generous. Everyone who is rich is either strong or not strong. Everyone who is either not calm or quiet is either not calm or humble and vice versa. Everyone who is not tall... | Paul is patient. | contradiction | ((?[X]:((calm(X)&old(X))))=>((~tall(lucy)<~>calm(lucy))))&
(((humble(john)<~>~old(john)))=>(?[X]:((~curious(X)&~generous(X)))))&
(![X]:(rich(X)=>(strong(X)<~>~strong(X))))&
(![X]:((~calm(X)<~>quiet(X))<=>(~calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~generous(X))=>(~patient(X)&tall(X))))&
(![X]:((curious(X)|~tall(X))<=>(~... | patient(paul) | [
"p6",
"p9",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 203834675764134856333747
% SZS output start Proof for 203834675764134856333747
7. ! [X0] : ((~calm(X0) & ~strong(X0)) <=> (funny(X0) | ~funny(X0))) [input p6]
10. ! [X0] : (happy(X0) => ~patient(X0)) [input p9]
13. ! [X0] : (curious(X0) => ~old(X0)) [input p12]
15. ! [X0] : ((calm(X0) | ~... | 0 |
Everyone who is not rich or not creative is either quiet or rich and vice versa.
If alice is both not old and brave then someone is wise or not old and vice versa.
Everyone who is either not curious or curious is not strong and vice versa.
If mary is not tall or not creative then paul is wise or not funny and vice vers... | Alice is not tall. | entailment | (![X]:((~rich(X)|~creative(X))<=>(quiet(X)<~>rich(X))))&
(((~old(alice)&brave(alice)))<=>(?[X]:((wise(X)|~old(X)))))&
(![X]:((~curious(X)<~>curious(X))<=>~strong(X)))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~pa... | ~tall(alice) | [
"p0",
"p1",
"p2",
"p7",
"p8",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 810255680323235482485233
% SZS output start Proof for 810255680323235482485233
1. ! [X0] : ((~creative(X0) | ~rich(X0)) <=> (quiet(X0) <~> rich(X0))) [input p0]
2. (brave(alice) & ~old(alice)) <=> ? [X0] : (~old(X0) | wise(X0)) [input p1]
3. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> ~s... | 0 |
If paul is either patient or not happy then someone is both humble and patient and vice versa.
If alice is not patient then alice is either not humble or kind.
Everyone who is both brave and creative is either not brave or kind and vice versa.
Everyone who is wise or generous is brave and vice versa.
If someone is stro... | Mary is calm. | entailment | (((patient(paul)<~>~happy(paul)))<=>(?[X]:((humble(X)&patient(X)))))&
((~patient(alice))=>((~humble(alice)<~>kind(alice))))&
(![X]:((brave(X)&creative(X))<=>(~brave(X)<~>kind(X))))&
(![X]:((wise(X)|generous(X))<=>brave(X)))&
((?[X]:((strong(X)|~happy(X))))=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~happy(X)<~>~quiet... | calm(mary) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 689207787966226284041629
% SZS output start Proof for 689207787966226284041629
3. ! [X0] : ((creative(X0) & brave(X0)) <=> (~brave(X0) <~> kind(X0))) [input p2]
8. ? [X0] : (brave(X0) | kind(X0)) => calm(mary) [input p7]
22. ~calm(mary) [input hypothesis]
30. calm(mary) | ! [X0] : (~brave... | 0 |
Everyone who is both not creative and not happy is both calm and not strong and vice versa. Everyone who is either not curious or not strong is either humble or curious and vice versa. Everyone who is not quiet or not creative is not rich or not kind. Everyone who is humble is not funny and vice versa. Everyone who is ... | Susan is tall. | contradiction | (![X]:((~creative(X)&~happy(X))<=>(calm(X)&~strong(X))))&
(![X]:((~curious(X)<~>~strong(X))<=>(humble(X)<~>curious(X))))&
(![X]:((~quiet(X)|~creative(X))=>(~rich(X)|~kind(X))))&
(![X]:(humble(X)<=>~funny(X)))&
(![X]:((happy(X)<~>patient(X))=>~tall(X)))&
(![X]:((wise(X)|curious(X))=>(~tall(X)<~>wise(X))))&
((?[X]:((~gen... | tall(susan) | [
"p0",
"p1",
"p3",
"p5",
"p15",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2016919537901864504161581
% SZS output start Proof for 2016919537901864504161581
1. ! [X0] : ((~happy(X0) & ~creative(X0)) <=> (~strong(X0) & calm(X0))) [input p0]
2. ! [X0] : ((~curious(X0) <~> ~strong(X0)) <=> (humble(X0) <~> curious(X0))) [input p1]
4. ! [X0] : (humble(X0) <=> ~funny(X... | 0 |
Everyone who is both funny and not curious is rich or not curious and vice versa.
If lucy is not calm then fred is both not funny and not happy and vice versa.
Everyone who is either not humble or brave is both not happy and funny and vice versa.
If someone is not brave then susan is strong and vice versa.
Everyone who... | Alice is not rich. | entailment | (![X]:((funny(X)&~curious(X))<=>(rich(X)|~curious(X))))&
((~calm(lucy))<=>((~funny(fred)&~happy(fred))))&
(![X]:((~humble(X)<~>brave(X))<=>(~happy(X)&funny(X))))&
((?[X]:(~brave(X)))<=>(strong(susan)))&
(![X]:((~strong(X)|quiet(X))=>~funny(X)))&
((?[X]:((~brave(X)|~patient(X))))=>((funny(fred)|creative(fred))))&
(![X]:... | ~rich(alice) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2083038697687266917869453
% SZS output start Proof for 2083038697687266917869453
1. ! [X0] : ((~curious(X0) & funny(X0)) <=> (~curious(X0) | rich(X0))) [input p0]
15. ! [X0] : ((rich(X0) <~> funny(X0)) <=> (funny(X0) | generous(X0))) [input p14]
21. rich(alice) [input hypothesis]
31. ! [X... | 0 |
Everyone who is not generous or funny is either not humble or funny and vice versa. Everyone who is both not funny and curious is either creative or not quiet. If john is either not quiet or not curious then mary is both not quiet and not kind. Everyone who is not brave or not quiet is either not rich or kind. If someo... | Fred is not strong. | entailment | (![X]:((~generous(X)|funny(X))<=>(~humble(X)<~>funny(X))))&
(![X]:((~funny(X)&curious(X))=>(creative(X)<~>~quiet(X))))&
(((~quiet(john)<~>~curious(john)))=>((~quiet(mary)&~kind(mary))))&
(![X]:((~brave(X)|~quiet(X))=>(~rich(X)<~>kind(X))))&
((?[X]:((~quiet(X)|brave(X))))=>(~humble(fred)))&
((?[X]:((~calm(X)<~>funny(X))... | ~strong(fred) | [
"p6",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 674527627489252111986327
% SZS output start Proof for 674527627489252111986327
7. ! [X0] : (old(X0) => (~calm(X0) & generous(X0))) [input p6]
11. ? [X0] : (kind(X0) | generous(X0)) => (~wise(fred) & ~strong(fred)) [input p10]
20. ~happy(alice) & old(alice) [input p19]
25. strong(fred) [in... | 0 |
If someone is either generous or not happy then someone is either wise or rich and vice versa.
If someone is both not happy and not kind then someone is calm or curious.
If john is both not old and not quiet then someone is either not quiet or strong and vice versa.
Everyone who is both kind and curious is either patie... | Alice is not funny. | neutral | ((?[X]:((generous(X)<~>~happy(X))))<=>(?[X]:((wise(X)<~>rich(X)))))&
((?[X]:((~happy(X)&~kind(X))))=>(?[X]:((calm(X)|curious(X)))))&
(((~old(john)&~quiet(john)))<=>(?[X]:((~quiet(X)<~>strong(X)))))&
(![X]:((kind(X)&curious(X))<=>(patient(X)<~>~tall(X))))&
((~humble(paul))<=>((patient(susan)<~>happy(susan))))&
(((~funny... | ~funny(alice) | [] | null | 0 |
If someone is both happy and curious then someone is both not tall and not creative and vice versa.
Everyone who is not tall is happy and vice versa.
If alice is not funny then susan is creative or generous.
Everyone who is not strong or not calm is not tall or kind and vice versa.
Everyone who is both wise and generou... | Susan is not curious. | neutral | ((?[X]:((happy(X)&curious(X))))<=>(?[X]:((~tall(X)&~creative(X)))))&
(![X]:(~tall(X)<=>happy(X)))&
((~funny(alice))=>((creative(susan)|generous(susan))))&
(![X]:((~strong(X)|~calm(X))<=>(~tall(X)|kind(X))))&
(![X]:((wise(X)&generous(X))<=>(~calm(X)|~brave(X))))&
(![X]:(~creative(X)<=>~generous(X)))&
((?[X]:((kind(X)&ta... | ~curious(susan) | [] | null | 0 |
If someone is either not happy or not generous then john is both tall and not quiet.
If john is either patient or not wise then paul is curious.
If someone is not calm or not kind then someone is both not old and generous.
Everyone who is not old or not creative is both wise and not funny and vice versa.
Everyone who i... | Susan is old. | contradiction | ((?[X]:((~happy(X)<~>~generous(X))))=>((tall(john)&~quiet(john))))&
(((patient(john)<~>~wise(john)))=>(curious(paul)))&
((?[X]:((~calm(X)|~kind(X))))=>(?[X]:((~old(X)&generous(X)))))&
(![X]:((~old(X)|~creative(X))<=>(wise(X)&~funny(X))))&
(![X]:((~quiet(X)&generous(X))<=>(humble(X)|~funny(X))))&
((?[X]:(~generous(X)))=... | old(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6873155079634813528223037
% SZS output start Proof for 6873155079634813528223037
11. ! [X0] : ((brave(X0) & old(X0)) <=> ~brave(X0)) [input p10]
23. old(susan) [input hypothesis]
55. ! [X0] : (((brave(X0) & old(X0)) | brave(X0)) & (~brave(X0) | (~brave(X0) | ~old(X0)))) [nnf transformatio... | 0 |
Everyone who is generous or not happy is both calm and not creative and vice versa. Everyone who is either quiet or not calm is both funny and creative and vice versa. If fred is both funny and humble then fred is creative. Everyone who is old is either not happy or not strong and vice versa. If someone is either gener... | Susan is kind. | entailment | (![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~creative(susan)&~happy(susan))))&
(((~brave(fred)|wise(fred)))<=>((humb... | kind(susan) | [
"p0",
"p1",
"p3",
"p6",
"p7",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1881065585893968759466675
% SZS output start Proof for 1881065585893968759466675
1. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p0]
2. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p1]
4. ! [X0] : (old(X0) <=> (~happy(X0) <~> ~... | 0 |
Everyone who is either not wise or not strong is either not calm or funny and vice versa. Everyone who is either not wise or patient is patient or not creative and vice versa. Everyone who is curious is brave and vice versa. Everyone who is either strong or calm is either not funny or quiet and vice versa. Everyone who... | Lucy is strong. | neutral | (![X]:((~wise(X)<~>~strong(X))<=>(~calm(X)<~>funny(X))))&
(![X]:((~wise(X)<~>patient(X))<=>(patient(X)|~creative(X))))&
(![X]:(curious(X)<=>brave(X)))&
(![X]:((strong(X)<~>calm(X))<=>(~funny(X)<~>quiet(X))))&
(![X]:(~rich(X)=>(~old(X)|tall(X))))&
(![X]:((humble(X)<~>creative(X))=>(~wise(X)|generous(X))))&
((?[X]:((quie... | strong(lucy) | [] | null | 0 |
Everyone who is wise is not patient or not rich and vice versa.
Everyone who is creative or funny is not patient.
Everyone who is either humble or not strong is happy and vice versa.
Everyone who is not happy is either curious or calm.
If someone is either creative or rich then someone is happy or not brave and vice ve... | Mary is not generous. | entailment | (![X]:(wise(X)<=>(~patient(X)|~rich(X))))&
(![X]:((creative(X)|funny(X))=>~patient(X)))&
(![X]:((humble(X)<~>~strong(X))<=>happy(X)))&
(![X]:(~happy(X)=>(curious(X)<~>calm(X))))&
((?[X]:((creative(X)<~>rich(X))))<=>(?[X]:((happy(X)|~brave(X)))))&
(((calm(paul)&~tall(paul)))<=>(?[X]:((~funny(X)|~kind(X)))))&
(![X]:((old... | ~generous(mary) | [
"p0",
"p1",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4833940416643021345280190
% SZS output start Proof for 4833940416643021345280190
1. ! [X0] : (wise(X0) <=> (~rich(X0) | ~patient(X0))) [input p0]
2. ! [X0] : ((funny(X0) | creative(X0)) => ~patient(X0)) [input p1]
13. ! [X0] : (generous(X0) <=> (strong(X0) & funny(X0))) [input p12]
15. ! ... | 0 |
Everyone who is both old and not patient is brave or generous and vice versa. Everyone who is either strong or quiet is both funny and not quiet. If someone is not generous or not humble then someone is not calm. If lucy is not generous then mary is both not happy and not brave and vice versa. Everyone who is kind or h... | Susan is creative. | neutral | (![X]:((old(X)&~patient(X))<=>(brave(X)|generous(X))))&
(![X]:((strong(X)<~>quiet(X))=>(funny(X)&~quiet(X))))&
((?[X]:((~generous(X)|~humble(X))))=>(?[X]:(~calm(X))))&
((~generous(lucy))<=>((~happy(mary)&~brave(mary))))&
(![X]:((kind(X)|humble(X))=>~creative(X)))&
(![X]:((~funny(X)|generous(X))<=>(~wise(X)<~>curious(X)... | creative(susan) | [] | null | 0 |
Everyone who is both not creative and kind is patient or not curious.
If paul is both quiet and not humble then fred is old.
Everyone who is quiet or curious is both creative and not strong and vice versa.
Everyone who is not creative is brave and vice versa.
If someone is both strong and not rich then susan is both hu... | Susan is not strong. | entailment | (![X]:((~creative(X)&kind(X))=>(patient(X)|~curious(X))))&
(((quiet(paul)&~humble(paul)))=>(old(fred)))&
(![X]:((quiet(X)|curious(X))<=>(creative(X)&~strong(X))))&
(![X]:(~creative(X)<=>brave(X)))&
((?[X]:((strong(X)&~rich(X))))=>((humble(susan)&~tall(susan))))&
(![X]:((kind(X)<~>tall(X))=>(~rich(X)|~kind(X))))&
((?[X]... | ~strong(susan) | [
"p2",
"p3",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9070185940744829918502063
% SZS output start Proof for 9070185940744829918502063
3. ! [X0] : ((curious(X0) | quiet(X0)) <=> (~strong(X0) & creative(X0))) [input p2]
4. ! [X0] : (~creative(X0) <=> brave(X0)) [input p3]
13. ? [X0] : (happy(X0) | brave(X0)) => (~rich(susan) & quiet(susan)) [... | 0 |
Everyone who is not kind or not creative is either not rich or humble and vice versa.
Everyone who is both happy and rich is kind.
Everyone who is not old or not calm is happy or not calm.
Everyone who is both curious and not brave is either kind or old and vice versa.
If someone is wise then mary is generous or not br... | Mary is quiet. | entailment | (![X]:((~kind(X)|~creative(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((happy(X)&rich(X))=>kind(X)))&
(![X]:((~old(X)|~calm(X))=>(happy(X)|~calm(X))))&
(![X]:((curious(X)&~brave(X))<=>(kind(X)<~>old(X))))&
((?[X]:(wise(X)))=>((generous(mary)|~brave(mary))))&
((?[X]:((~funny(X)&~creative(X))))=>((kind(susan)&happy(susan))))&... | quiet(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8118683402863984623234851
% SZS output start Proof for 8118683402863984623234851
16. ! [X0] : (quiet(X0) <=> (patient(X0) | ~patient(X0))) [input p15]
25. ~quiet(mary) [input hypothesis]
27. ! [X0] : ((patient(X0) | ~patient(X0)) => quiet(X0)) [unused predicate definition removal 16]
42. ... | 0 |
If someone is either humble or not rich then susan is not patient and vice versa.
If someone is not quiet or generous then alice is not happy or wise.
Everyone who is humble is calm.
Everyone who is patient is both strong and old.
If someone is both quiet and not quiet then someone is both wise and not curious and vice... | Alice is generous. | neutral | ((?[X]:((humble(X)<~>~rich(X))))<=>(~patient(susan)))&
((?[X]:((~quiet(X)|generous(X))))=>((~happy(alice)|wise(alice))))&
(![X]:(humble(X)=>calm(X)))&
(![X]:(patient(X)=>(strong(X)&old(X))))&
((?[X]:((quiet(X)&~quiet(X))))<=>(?[X]:((wise(X)&~curious(X)))))&
(((strong(susan)<~>patient(susan)))=>(calm(john)))&
((?[X]:((t... | generous(alice) | [] | null | 0 |
Everyone who is either happy or not patient is not patient or not rich and vice versa.
If someone is happy then mary is both not kind and not brave and vice versa.
If john is not rich then someone is not humble or not strong.
Everyone who is happy is not strong or not humble and vice versa.
If someone is both not calm ... | Mary is humble. | neutral | (![X]:((happy(X)<~>~patient(X))<=>(~patient(X)|~rich(X))))&
((?[X]:(happy(X)))<=>((~kind(mary)&~brave(mary))))&
((~rich(john))=>(?[X]:((~humble(X)|~strong(X)))))&
(![X]:(happy(X)<=>(~strong(X)|~humble(X))))&
((?[X]:((~calm(X)&~kind(X))))<=>((~brave(susan)&curious(susan))))&
((?[X]:((humble(X)<~>~old(X))))=>(?[X]:((~gen... | humble(mary) | [] | null | 0 |
Everyone who is either not creative or funny is generous and vice versa.
Everyone who is both creative and kind is not creative or not happy and vice versa.
If susan is not humble or not generous then someone is both funny and not patient.
Everyone who is either strong or brave is funny and vice versa.
If fred is kind ... | John is rich. | neutral | (![X]:((~creative(X)<~>funny(X))<=>generous(X)))&
(![X]:((creative(X)&kind(X))<=>(~creative(X)|~happy(X))))&
(((~humble(susan)|~generous(susan)))=>(?[X]:((funny(X)&~patient(X)))))&
(![X]:((strong(X)<~>brave(X))<=>funny(X)))&
((kind(fred))=>((funny(john)<~>calm(john))))&
((?[X]:((funny(X)&~rich(X))))<=>(?[X]:((old(X)<~>... | rich(john) | [] | null | 0 |
If john is calm or generous then someone is not happy.
Everyone who is both not wise and calm is old.
If alice is either not strong or not brave then someone is funny and vice versa.
Everyone who is not tall or creative is either creative or not calm.
If fred is old or not strong then someone is old or kind and vice ve... | Alice is strong. | entailment | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![X]:((~wise(X)&calm(X))=>old(X)))&
(((~strong(alice)<~>~brave(alice)))<=>(?[X]:(funny(X))))&
(![X]:((~tall(X)|creative(X))=>(creative(X)<~>~calm(X))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(... | strong(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2457944946217278920942866
% SZS output start Proof for 2457944946217278920942866
13. ! [X0] : (quiet(X0) <=> (~quiet(X0) | strong(X0))) [input p12]
25. ~strong(alice) [input hypothesis]
65. ! [X0] : ((quiet(X0) | (quiet(X0) & ~strong(X0))) & ((~quiet(X0) | strong(X0)) | ~quiet(X0))) [nnf ... | 0 |
Everyone who is not rich is not funny or strong. Everyone who is either not curious or rich is both not patient and quiet. If paul is either quiet or generous then lucy is both creative and happy and vice versa. Everyone who is either strong or old is both brave and old and vice versa. Everyone who is humble is wise. E... | John is humble. | contradiction | (![X]:(~rich(X)=>(~funny(X)|strong(X))))&
(![X]:((~curious(X)<~>rich(X))=>(~patient(X)&quiet(X))))&
(((quiet(paul)<~>generous(paul)))<=>((creative(lucy)&happy(lucy))))&
(![X]:((strong(X)<~>old(X))<=>(brave(X)&old(X))))&
(![X]:(humble(X)=>wise(X)))&
(![X]:((humble(X)|~strong(X))<=>(~rich(X)&brave(X))))&
((?[X]:((~happy(... | humble(john) | [
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6453974980133069297236405
% SZS output start Proof for 6453974980133069297236405
5. ! [X0] : (humble(X0) => wise(X0)) [input p4]
14. ! [X0] : (~tall(X0) <=> ~creative(X0)) [input p13]
15. ! [X0] : ((creative(X0) <~> ~wise(X0)) <=> ~tall(X0)) [input p14]
25. humble(john) [input hypothesis]... | 0 |
Everyone who is both not wise and calm is either not curious or not happy and vice versa.
Everyone who is both not happy and not calm is not quiet.
If mary is not creative then someone is brave.
If someone is not tall then someone is either patient or happy and vice versa.
If someone is both not wise and brave then som... | Susan is calm. | neutral | (![X]:((~wise(X)&calm(X))<=>(~curious(X)<~>~happy(X))))&
(![X]:((~happy(X)&~calm(X))=>~quiet(X)))&
((~creative(mary))=>(?[X]:(brave(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((patient(X)<~>happy(X)))))&
((?[X]:((~wise(X)&brave(X))))<=>(?[X]:((strong(X)<~>~curious(X)))))&
((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((funny(X)|stron... | calm(susan) | [] | null | 0 |
Everyone who is either not humble or not rich is either not rich or not strong and vice versa. Everyone who is not rich is not calm or strong and vice versa. If someone is not old or strong then someone is either kind or not quiet. Everyone who is creative is not tall. Everyone who is both not calm and not kind is crea... | Lucy is not wise. | neutral | (![X]:((~humble(X)<~>~rich(X))<=>(~rich(X)<~>~strong(X))))&
(![X]:(~rich(X)<=>(~calm(X)|strong(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:(creative(X)=>~tall(X)))&
(![X]:((~calm(X)&~kind(X))<=>creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(kind(X)<~>~humble(X))))&
((?[X]:((humble(X)<... | ~wise(lucy) | [] | null | 0 |
If alice is both humble and not funny then someone is either not humble or not kind and vice versa.
Everyone who is not old or patient is both patient and not patient and vice versa.
If lucy is either quiet or curious then paul is either not old or brave.
If fred is both wise and not curious then fred is not old.
If so... | Susan is old. | entailment | (((humble(alice)&~funny(alice)))<=>(?[X]:((~humble(X)<~>~kind(X)))))&
(![X]:((~old(X)|patient(X))<=>(patient(X)&~patient(X))))&
(((quiet(lucy)<~>curious(lucy)))=>((~old(paul)<~>brave(paul))))&
(((wise(fred)&~curious(fred)))=>(~old(fred)))&
((?[X]:((~happy(X)<~>creative(X))))<=>((strong(paul)&old(paul))))&
((wise(fred))... | old(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7690512625584573263762105
% SZS output start Proof for 7690512625584573263762105
2. ! [X0] : ((patient(X0) | ~old(X0)) <=> (~patient(X0) & patient(X0))) [input p1]
24. ~old(susan) [input hypothesis]
42. ! [X0] : (((patient(X0) | ~old(X0)) | (patient(X0) | ~patient(X0))) & ((~patient(X0) &... | 0 |
If someone is both not calm and happy then lucy is both not quiet and generous and vice versa.
Everyone who is not humble is either not tall or old and vice versa.
Everyone who is either generous or humble is both humble and not calm and vice versa.
Everyone who is brave is both not rich and not tall and vice versa.
Ev... | John is not rich. | contradiction | ((?[X]:((~calm(X)&happy(X))))<=>((~quiet(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>(~tall(X)<~>old(X))))&
(![X]:((generous(X)<~>humble(X))<=>(humble(X)&~calm(X))))&
(![X]:(brave(X)<=>(~rich(X)&~tall(X))))&
(![X]:((patient(X)&old(X))=>(tall(X)|rich(X))))&
(![X]:((~wise(X)|~tall(X))=>(curious(X)|humble(X))))&
((kind(m... | ~rich(john) | [
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8801178544219556450821703
% SZS output start Proof for 8801178544219556450821703
4. ! [X0] : (brave(X0) <=> (~tall(X0) & ~rich(X0))) [input p3]
12. ! [X0] : (rich(X0) <=> (~tall(X0) | ~creative(X0))) [input p11]
15. ! [X0] : ((creative(X0) & brave(X0)) <=> (brave(X0) <~> tall(X0))) [input... | 0 |
Everyone who is not quiet or not brave is both calm and not wise. Everyone who is not brave is either not kind or brave. Everyone who is both not wise and brave is both not humble and not funny. If someone is not happy then alice is funny or not curious and vice versa. Everyone who is either funny or kind is either old... | John is kind. | contradiction | (![X]:((~quiet(X)|~brave(X))=>(calm(X)&~wise(X))))&
(![X]:(~brave(X)=>(~kind(X)<~>brave(X))))&
(![X]:((~wise(X)&brave(X))=>(~humble(X)&~funny(X))))&
((?[X]:(~happy(X)))<=>((funny(alice)|~curious(alice))))&
(![X]:((funny(X)<~>kind(X))=>(old(X)<~>funny(X))))&
((?[X]:((funny(X)|~generous(X))))=>(?[X]:((~tall(X)&~quiet(X))... | kind(john) | [
"p1",
"p2",
"p3",
"p4",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 567195738965984680211918
% SZS output start Proof for 567195738965984680211918
2. ! [X0] : (~brave(X0) => (~kind(X0) <~> brave(X0))) [input p1]
3. ! [X0] : ((brave(X0) & ~wise(X0)) => (~funny(X0) & ~humble(X0))) [input p2]
4. ? [X0] : ~happy(X0) <=> (~curious(alice) | funny(alice)) [input... | 0 |
Everyone who is both patient and not generous is both quiet and not happy and vice versa.
Everyone who is both not patient and not kind is not strong and vice versa.
Everyone who is patient or rich is curious.
If paul is either kind or not tall then someone is both humble and not curious.
Everyone who is either not pat... | Fred is not humble. | entailment | (![X]:((patient(X)&~generous(X))<=>(quiet(X)&~happy(X))))&
(![X]:((~patient(X)&~kind(X))<=>~strong(X)))&
(![X]:((patient(X)|rich(X))=>curious(X)))&
(((kind(paul)<~>~tall(paul)))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((~patient(X)<~>quiet(X))<=>(wise(X)|humble(X))))&
(![X]:(~strong(X)=>~old(X)))&
(![X]:((strong(X)<~... | ~humble(fred) | [
"p0",
"p4",
"p5",
"p7",
"p9",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5374512764929324202562141
% SZS output start Proof for 5374512764929324202562141
1. ! [X0] : ((~generous(X0) & patient(X0)) <=> (~happy(X0) & quiet(X0))) [input p0]
5. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (humble(X0) | wise(X0))) [input p4]
6. ! [X0] : (~strong(X0) => ~old(X0)) [inp... | 0 |
If alice is both old and not creative then someone is both not patient and not rich. If someone is not patient or not curious then someone is calm and vice versa. Everyone who is both patient and happy is not tall or happy and vice versa. Everyone who is both not calm and patient is not creative and vice versa. If fred... | Paul is not rich. | contradiction | (((old(alice)&~creative(alice)))=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((~patient(X)|~curious(X))))<=>(?[X]:(calm(X))))&
(![X]:((patient(X)&happy(X))<=>(~tall(X)|happy(X))))&
(![X]:((~calm(X)&patient(X))<=>~creative(X)))&
(((~rich(fred)&~brave(fred)))=>(curious(fred)))&
(![X]:(rich(X)=>(~old(X)|quiet(X))))&
((?[X]:... | ~rich(paul) | [
"p2",
"p3",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 623716676983333089177732
% SZS output start Proof for 623716676983333089177732
3. ! [X0] : ((happy(X0) & patient(X0)) <=> (happy(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((patient(X0) & ~calm(X0)) <=> ~creative(X0)) [input p3]
8. ! [X0] : (~wise(X0) <=> (~funny(X0) | ~creative(X0))) [inpu... | 0 |
Everyone who is humble is patient and vice versa.
Everyone who is either calm or not funny is either not brave or not tall.
If lucy is either rich or not tall then someone is either not rich or happy and vice versa.
Everyone who is both not kind and strong is both not happy and not patient.
If susan is not brave then s... | John is happy. | contradiction | (![X]:(humble(X)<=>patient(X)))&
(![X]:((calm(X)<~>~funny(X))=>(~brave(X)<~>~tall(X))))&
(((rich(lucy)<~>~tall(lucy)))<=>(?[X]:((~rich(X)<~>happy(X)))))&
(![X]:((~kind(X)&strong(X))=>(~happy(X)&~patient(X))))&
((~brave(susan))=>(?[X]:((~quiet(X)&curious(X)))))&
(![X]:(~old(X)<=>(~humble(X)&brave(X))))&
(![X]:(happy(X)<... | happy(john) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6892547650185581900289994
% SZS output start Proof for 6892547650185581900289994
18. ~happy(john) [input p17]
25. happy(john) [input hypothesis]
118. ~happy(john) [cnf transformation 18]
128. happy(john) [cnf transformation 25]
292. $false [subsumption resolution 128,118]
% SZS output end... | 0 |
If susan is both brave and not creative then john is generous and vice versa.
If someone is both not funny and tall then fred is both patient and tall.
Everyone who is happy is either wise or not kind.
Everyone who is either curious or not wise is not humble and vice versa.
Everyone who is either not kind or not funny ... | Fred is humble. | neutral | (((brave(susan)&~creative(susan)))<=>(generous(john)))&
((?[X]:((~funny(X)&tall(X))))=>((patient(fred)&tall(fred))))&
(![X]:(happy(X)=>(wise(X)<~>~kind(X))))&
(![X]:((curious(X)<~>~wise(X))<=>~humble(X)))&
(![X]:((~kind(X)<~>~funny(X))<=>(happy(X)<~>~quiet(X))))&
(![X]:((~kind(X)|~humble(X))<=>(curious(X)&~calm(X))))&
... | humble(fred) | [] | null | 0 |
If someone is not generous or not creative then susan is either not tall or calm and vice versa. If alice is both generous and not strong then someone is not kind or generous. If mary is either not brave or rich then john is either kind or curious. If someone is happy or not strong then paul is calm or not calm. Everyo... | Alice is brave. | entailment | ((?[X]:((~generous(X)|~creative(X))))<=>((~tall(susan)<~>calm(susan))))&
(((generous(alice)&~strong(alice)))=>(?[X]:((~kind(X)|generous(X)))))&
(((~brave(mary)<~>rich(mary)))=>((kind(john)<~>curious(john))))&
((?[X]:((happy(X)|~strong(X))))=>((calm(paul)|~calm(paul))))&
(![X]:((tall(X)&generous(X))=>~humble(X)))&
(![X]... | brave(alice) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5752172861015918420945573
% SZS output start Proof for 5752172861015918420945573
1. ? [X0] : (~creative(X0) | ~generous(X0)) <=> (~tall(susan) <~> calm(susan)) [input p0]
5. ! [X0] : ((generous(X0) & tall(X0)) => ~humble(X0)) [input p4]
6. ! [X0] : ((humble(X0) | ~rich(X0)) => (patient(X0... | 0 |
Everyone who is not humble is both old and not funny.
If fred is either quiet or not tall then lucy is either strong or not kind and vice versa.
Everyone who is either quiet or happy is kind and vice versa.
Everyone who is rich or generous is not patient or not funny.
Everyone who is not happy is both not generous and ... | Alice is not humble. | contradiction | (![X]:(~humble(X)=>(old(X)&~funny(X))))&
(((quiet(fred)<~>~tall(fred)))<=>((strong(lucy)<~>~kind(lucy))))&
(![X]:((quiet(X)<~>happy(X))<=>kind(X)))&
(![X]:((rich(X)|generous(X))=>(~patient(X)|~funny(X))))&
(![X]:(~happy(X)=>(~generous(X)&~creative(X))))&
((creative(paul))<=>(?[X]:((~kind(X)<~>brave(X)))))&
(![X]:(~calm... | ~humble(alice) | [
"p0",
"p2",
"p4",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5629827527948537140492798
% SZS output start Proof for 5629827527948537140492798
1. ! [X0] : (~humble(X0) => (~funny(X0) & old(X0))) [input p0]
3. ! [X0] : ((quiet(X0) <~> happy(X0)) <=> kind(X0)) [input p2]
5. ! [X0] : (~happy(X0) => (~creative(X0) & ~generous(X0))) [input p4]
14. ! [X0]... | 0 |
Everyone who is both not humble and happy is either tall or happy and vice versa. Everyone who is both kind and not old is calm or not wise and vice versa. If alice is either strong or rich then paul is either not calm or quiet. If someone is either not generous or not patient then someone is not quiet. Everyone who is... | John is not strong. | entailment | (![X]:((~humble(X)&happy(X))<=>(tall(X)<~>happy(X))))&
(![X]:((kind(X)&~old(X))<=>(calm(X)|~wise(X))))&
(((strong(alice)<~>rich(alice)))=>((~calm(paul)<~>quiet(paul))))&
((?[X]:((~generous(X)<~>~patient(X))))=>(?[X]:(~quiet(X))))&
(![X]:((~calm(X)&rich(X))<=>(~creative(X)|quiet(X))))&
((?[X]:(~patient(X)))=>((curious(l... | ~strong(john) | [
"p1",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5533262994082107928182590
% SZS output start Proof for 5533262994082107928182590
2. ! [X0] : ((~old(X0) & kind(X0)) <=> (~wise(X0) | calm(X0))) [input p1]
7. (quiet(fred) & ~quiet(fred)) <=> ? [X0] : wise(X0) [input p6]
8. ! [X0] : (kind(X0) <=> (~strong(X0) & creative(X0))) [input p7]
23... | 0 |
If someone is both not happy and creative then someone is either funny or not curious and vice versa.
Everyone who is either kind or not calm is either brave or not calm.
Everyone who is happy is not creative and vice versa.
Everyone who is not tall or wise is both funny and not brave.
Everyone who is not creative or n... | Mary is rich. | contradiction | ((?[X]:((~happy(X)&creative(X))))<=>(?[X]:((funny(X)<~>~curious(X)))))&
(![X]:((kind(X)<~>~calm(X))=>(brave(X)<~>~calm(X))))&
(![X]:(happy(X)<=>~creative(X)))&
(![X]:((~tall(X)|wise(X))=>(funny(X)&~brave(X))))&
(![X]:((~creative(X)|~rich(X))<=>(quiet(X)<~>happy(X))))&
(![X]:((rich(X)<~>~brave(X))<=>(~wise(X)<~>tall(X))... | rich(mary) | [
"p2",
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2695141625531731611671433
% SZS output start Proof for 2695141625531731611671433
3. ! [X0] : (happy(X0) <=> ~creative(X0)) [input p2]
5. ! [X0] : ((~rich(X0) | ~creative(X0)) <=> (quiet(X0) <~> happy(X0))) [input p4]
22. quiet(mary) & patient(mary) [input p21]
25. rich(mary) [input hypoth... | 0 |
Everyone who is both not wise and not generous is either not generous or kind and vice versa.
If someone is either kind or not creative then someone is not patient or calm and vice versa.
Everyone who is either creative or not funny is both funny and not happy and vice versa.
If someone is not creative then fred is not... | John is not humble. | neutral | (![X]:((~wise(X)&~generous(X))<=>(~generous(X)<~>kind(X))))&
((?[X]:((kind(X)<~>~creative(X))))<=>(?[X]:((~patient(X)|calm(X)))))&
(![X]:((creative(X)<~>~funny(X))<=>(funny(X)&~happy(X))))&
((?[X]:(~creative(X)))<=>(~kind(fred)))&
((?[X]:((~calm(X)<~>patient(X))))=>(wise(mary)))&
(((~kind(john)<~>funny(john)))<=>(?[X]:... | ~humble(john) | [] | null | 0 |
Everyone who is not funny or not patient is both creative and not old.
Everyone who is both strong and wise is either not creative or not kind and vice versa.
If someone is both curious and strong then susan is not curious and vice versa.
Everyone who is both old and generous is either funny or rich.
Everyone who is ei... | Fred is not funny. | entailment | (![X]:((~funny(X)|~patient(X))=>(creative(X)&~old(X))))&
(![X]:((strong(X)&wise(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:((curious(X)&strong(X))))<=>(~curious(susan)))&
(![X]:((old(X)&generous(X))=>(funny(X)<~>rich(X))))&
(![X]:((~kind(X)<~>tall(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>(?[X]:((kind(X)&~rich(X)))))... | ~funny(fred) | [
"p0",
"p6",
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 814164659377794062715315
% SZS output start Proof for 814164659377794062715315
1. ! [X0] : ((~patient(X0) | ~funny(X0)) => (~old(X0) & creative(X0))) [input p0]
7. ! [X0] : ((~creative(X0) | wise(X0)) <=> ~patient(X0)) [input p6]
9. ! [X0] : ((~generous(X0) & ~funny(X0)) <=> (~creative(X0... | 0 |
If someone is not funny or not rich then mary is humble or not kind and vice versa.
Everyone who is either funny or not quiet is creative or not quiet.
If mary is not funny then paul is humble.
If susan is both rich and calm then someone is either not rich or rich and vice versa.
If someone is either not patient or not... | John is not strong. | entailment | ((?[X]:((~funny(X)|~rich(X))))<=>((humble(mary)|~kind(mary))))&
(![X]:((funny(X)<~>~quiet(X))=>(creative(X)|~quiet(X))))&
((~funny(mary))=>(humble(paul)))&
(((rich(susan)&calm(susan)))<=>(?[X]:((~rich(X)<~>rich(X)))))&
((?[X]:((~patient(X)<~>~humble(X))))<=>((quiet(mary)|tall(mary))))&
((brave(john))=>(?[X]:((~strong(X... | ~strong(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9066955885394435749883278
% SZS output start Proof for 9066955885394435749883278
12. ! [X0] : ((~calm(X0) | calm(X0)) <=> (~strong(X0) & ~tall(X0))) [input p11]
24. strong(john) [input hypothesis]
65. ! [X0] : (((~calm(X0) | calm(X0)) | (strong(X0) | tall(X0))) & ((~strong(X0) & ~tall(X0)... | 0 |
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