premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not tall or wise is curious or not old and vice versa.
Everyone who is both happy and humble is both generous and not kind.
If john is wise then someone is either old or strong.
If susan is either not curious or not tall then mary is both not happy and rich and vice versa.
Everyone who is either not str... | John is not kind. | contradiction | (![X]:((~tall(X)|wise(X))<=>(curious(X)|~old(X))))&
(![X]:((happy(X)&humble(X))=>(generous(X)&~kind(X))))&
((wise(john))=>(?[X]:((old(X)<~>strong(X)))))&
(((~curious(susan)<~>~tall(susan)))<=>((~happy(mary)&rich(mary))))&
(![X]:((~strong(X)<~>generous(X))<=>(~brave(X)&~happy(X))))&
(![X]:((strong(X)<~>tall(X))=>(~old(X... | ~kind(john) | [
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6728500658765895500438313
% SZS output start Proof for 6728500658765895500438313
6. ! [X0] : ((strong(X0) <~> tall(X0)) => (~rich(X0) & ~old(X0))) [input p5]
7. ! [X0] : ((funny(X0) | ~old(X0)) => (kind(X0) & wise(X0))) [input p6]
11. (tall(john) <~> strong(john)) <=> ? [X0] : (~patient(X... | 0 |
If someone is both generous and not calm then lucy is not rich and vice versa.
Everyone who is not strong or happy is either calm or not strong.
Everyone who is generous is either quiet or not generous and vice versa.
Everyone who is both creative and not tall is either not funny or not strong.
Everyone who is either w... | Paul is generous. | neutral | ((?[X]:((generous(X)&~calm(X))))<=>(~rich(lucy)))&
(![X]:((~strong(X)|happy(X))=>(calm(X)<~>~strong(X))))&
(![X]:(generous(X)<=>(quiet(X)<~>~generous(X))))&
(![X]:((creative(X)&~tall(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((wise(X)<~>patient(X))<=>patient(X)))&
(![X]:((happy(X)|~quiet(X))<=>(generous(X)&~old(X))))&
(((... | generous(paul) | [] | null | 0 |
If fred is either not curious or not generous then someone is both humble and quiet. Everyone who is either patient or not humble is curious or not patient. Everyone who is both humble and rich is strong. Everyone who is calm or creative is old or brave and vice versa. Everyone who is not funny is not curious. Everyone... | Alice is not wise. | contradiction | (((~curious(fred)<~>~generous(fred)))=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:((patient(X)<~>~humble(X))=>(curious(X)|~patient(X))))&
(![X]:((humble(X)&rich(X))=>strong(X)))&
(![X]:((calm(X)|creative(X))<=>(old(X)|brave(X))))&
(![X]:(~funny(X)=>~curious(X)))&
(![X]:((~calm(X)|~patient(X))<=>(~old(X)<~>~curious(X))))&
(!... | ~wise(alice) | [
"p3",
"p9",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4429013067367564705992146
% SZS output start Proof for 4429013067367564705992146
4. ! [X0] : ((creative(X0) | calm(X0)) <=> (brave(X0) | old(X0))) [input p3]
10. ! [X0] : ((old(X0) | quiet(X0)) => ~curious(X0)) [input p9]
12. ? [X0] : (~generous(X0) | ~wise(X0)) => (~brave(alice) | calm(a... | 0 |
Everyone who is humble or not creative is either not creative or creative.
Everyone who is either generous or not strong is either creative or not old and vice versa.
If someone is both generous and not generous then mary is calm.
Everyone who is both funny and not strong is both not quiet and not funny and vice versa.... | Mary is not generous. | neutral | (![X]:((humble(X)|~creative(X))=>(~creative(X)<~>creative(X))))&
(![X]:((generous(X)<~>~strong(X))<=>(creative(X)<~>~old(X))))&
((?[X]:((generous(X)&~generous(X))))=>(calm(mary)))&
(![X]:((funny(X)&~strong(X))<=>(~quiet(X)&~funny(X))))&
(![X]:(~strong(X)=>(~brave(X)&brave(X))))&
(((~old(john)|~calm(john)))=>(?[X]:(crea... | ~generous(mary) | [] | null | 0 |
If susan is both not creative and happy then susan is both not rich and not brave and vice versa. Everyone who is either not creative or humble is either not rich or quiet. Everyone who is both rich and not rich is tall or kind and vice versa. If alice is both not kind and not patient then someone is kind. If someone i... | Lucy is creative. | neutral | (((~creative(susan)&happy(susan)))<=>((~rich(susan)&~brave(susan))))&
(![X]:((~creative(X)<~>humble(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((rich(X)&~rich(X))<=>(tall(X)|kind(X))))&
(((~kind(alice)&~patient(alice)))=>(?[X]:(kind(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~happy(fred)|~strong(fred))))&
(((brave(mary)<~>~pa... | creative(lucy) | [] | null | 0 |
Everyone who is both tall and not old is not generous.
If mary is either not patient or not tall then someone is curious or patient and vice versa.
Everyone who is both not quiet and not creative is both tall and not happy.
If alice is both not calm and not generous then john is not patient or creative.
Everyone who is... | Alice is not kind. | contradiction | (![X]:((tall(X)&~old(X))=>~generous(X)))&
(((~patient(mary)<~>~tall(mary)))<=>(?[X]:((curious(X)|patient(X)))))&
(![X]:((~quiet(X)&~creative(X))=>(tall(X)&~happy(X))))&
(((~calm(alice)&~generous(alice)))=>((~patient(john)|creative(john))))&
(![X]:((generous(X)|curious(X))<=>strong(X)))&
((~creative(paul))=>(?[X]:(gener... | ~kind(alice) | [
"p7",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8538226595667490609162355
% SZS output start Proof for 8538226595667490609162355
8. ? [X0] : (~kind(X0) & kind(X0)) <=> (~brave(alice) <~> quiet(alice)) [input p7]
9. ! [X0] : (~kind(X0) => (~quiet(X0) | brave(X0))) [input p8]
22. ~brave(alice) [input p21]
24. ~kind(alice) [input hypothes... | 0 |
Everyone who is quiet or not patient is either humble or not kind.
Everyone who is either not generous or old is calm.
If someone is humble then alice is either not generous or not kind and vice versa.
Everyone who is patient is not generous.
Everyone who is calm is both patient and wise and vice versa.
If someone is b... | Lucy is not generous. | contradiction | (![X]:((quiet(X)|~patient(X))=>(humble(X)<~>~kind(X))))&
(![X]:((~generous(X)<~>old(X))=>calm(X)))&
((?[X]:(humble(X)))<=>((~generous(alice)<~>~kind(alice))))&
(![X]:(patient(X)=>~generous(X)))&
(![X]:(calm(X)<=>(patient(X)&wise(X))))&
((?[X]:((~patient(X)&~kind(X))))=>((funny(lucy)<~>~kind(lucy))))&
(![X]:((~funny(X)&... | ~generous(lucy) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p7",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 198398198466923795594367
% SZS output start Proof for 198398198466923795594367
1. ! [X0] : ((~patient(X0) | quiet(X0)) => (humble(X0) <~> ~kind(X0))) [input p0]
2. ! [X0] : ((~generous(X0) <~> old(X0)) => calm(X0)) [input p1]
5. ! [X0] : (calm(X0) <=> (wise(X0) & patient(X0))) [input p4]
... | 0 |
If someone is either quiet or not humble then alice is either rich or strong and vice versa. Everyone who is kind or not brave is generous. If lucy is both not creative and tall then someone is both calm and not old and vice versa. Everyone who is either tall or not funny is humble and vice versa. If someone is both no... | Alice is generous. | contradiction | ((?[X]:((quiet(X)<~>~humble(X))))<=>((rich(alice)<~>strong(alice))))&
(![X]:((kind(X)|~brave(X))=>generous(X)))&
(((~creative(lucy)&tall(lucy)))<=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((tall(X)<~>~funny(X))<=>humble(X)))&
((?[X]:((~rich(X)&humble(X))))<=>((~brave(mary)|~humble(mary))))&
(![X]:((generous(X)|tall(X))<=>(~g... | generous(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6302001423080607878531466
% SZS output start Proof for 6302001423080607878531466
19. ~generous(alice) [input p18]
24. generous(alice) [input hypothesis]
153. ~generous(alice) [cnf transformation 19]
161. generous(alice) [cnf transformation 24]
322. $false [subsumption resolution 161,153]
... | 0 |
Everyone who is creative is both kind and not creative. If someone is both not brave and not happy then alice is either not happy or strong and vice versa. Everyone who is not generous or brave is both patient and brave and vice versa. If someone is either not patient or not generous then john is either old or not humb... | John is humble. | neutral | (![X]:(creative(X)=>(kind(X)&~creative(X))))&
((?[X]:((~brave(X)&~happy(X))))<=>((~happy(alice)<~>strong(alice))))&
(![X]:((~generous(X)|brave(X))<=>(patient(X)&brave(X))))&
((?[X]:((~patient(X)<~>~generous(X))))<=>((old(john)<~>~humble(john))))&
(![X]:((~tall(X)<~>rich(X))<=>(happy(X)&patient(X))))&
((?[X]:((~strong(X... | humble(john) | [] | null | 0 |
Everyone who is both not quiet and happy is humble or not strong.
If fred is old then john is either tall or happy and vice versa.
If john is brave then lucy is not brave.
If someone is both not brave and generous then alice is either kind or not tall.
If someone is either not curious or humble then paul is both rich a... | Alice is not wise. | entailment | (![X]:((~quiet(X)&happy(X))=>(humble(X)|~strong(X))))&
((old(fred))<=>((tall(john)<~>happy(john))))&
((brave(john))=>(~brave(lucy)))&
((?[X]:((~brave(X)&generous(X))))=>((kind(alice)<~>~tall(alice))))&
((?[X]:((~curious(X)<~>humble(X))))<=>((rich(paul)&~brave(paul))))&
(![X]:((brave(X)|rich(X))<=>(~humble(X)&~patient(X... | ~wise(alice) | [
"p4",
"p5",
"p7",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8011337005702638611897288
% SZS output start Proof for 8011337005702638611897288
5. ? [X0] : (~curious(X0) <~> humble(X0)) <=> (~brave(paul) & rich(paul)) [input p4]
6. ! [X0] : ((rich(X0) | brave(X0)) <=> (~patient(X0) & ~humble(X0))) [input p5]
8. patient(alice) <=> ? [X0] : ~calm(X0) [... | 0 |
If someone is either humble or not patient then someone is rich or calm.
Everyone who is not happy or wise is not brave or not humble and vice versa.
If john is not quiet then lucy is not kind.
Everyone who is not rich or strong is not kind and vice versa.
If someone is generous or not wise then someone is either wise ... | Fred is rich. | entailment | ((?[X]:((humble(X)<~>~patient(X))))=>(?[X]:((rich(X)|calm(X)))))&
(![X]:((~happy(X)|wise(X))<=>(~brave(X)|~humble(X))))&
((~quiet(john))=>(~kind(lucy)))&
(![X]:((~rich(X)|strong(X))<=>~kind(X)))&
((?[X]:((generous(X)|~wise(X))))<=>(?[X]:((wise(X)<~>~brave(X)))))&
((?[X]:((~calm(X)&calm(X))))=>(?[X]:((tall(X)&generous(X... | rich(fred) | [
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2395246616840076858990742
% SZS output start Proof for 2395246616840076858990742
13. ! [X0] : ((quiet(X0) | ~rich(X0)) => (~happy(X0) & generous(X0))) [input p12]
22. ~generous(fred) [input p21]
25. ~rich(fred) [input hypothesis]
37. ! [X0] : ((~happy(X0) & generous(X0)) | (~quiet(X0) & r... | 0 |
Everyone who is both tall and not curious is rich and vice versa. Everyone who is curious is both not brave and brave and vice versa. Everyone who is calm is not generous. If susan is either creative or not humble then paul is not patient and vice versa. Everyone who is either wise or patient is either not generous or ... | Fred is not patient. | neutral | (![X]:((tall(X)&~curious(X))<=>rich(X)))&
(![X]:(curious(X)<=>(~brave(X)&brave(X))))&
(![X]:(calm(X)=>~generous(X)))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fr... | ~patient(fred) | [] | null | 0 |
If lucy is not humble or not kind then someone is not generous and vice versa. Everyone who is not generous or calm is either curious or not funny. Everyone who is either strong or not calm is both not tall and not creative. Everyone who is not humble or brave is either not rich or happy and vice versa. Everyone who is... | John is wise. | neutral | (((~humble(lucy)|~kind(lucy)))<=>(?[X]:(~generous(X))))&
(![X]:((~generous(X)|calm(X))=>(curious(X)<~>~funny(X))))&
(![X]:((strong(X)<~>~calm(X))=>(~tall(X)&~creative(X))))&
(![X]:((~humble(X)|brave(X))<=>(~rich(X)<~>happy(X))))&
(![X]:((~rich(X)|~strong(X))=>(~generous(X)&~humble(X))))&
(![X]:(~funny(X)=>(wise(X)<~>~c... | wise(john) | [] | null | 0 |
Everyone who is not strong or not old is both not rich and patient and vice versa.
If alice is rich then someone is curious or not funny.
If someone is not quiet then john is both wise and not patient and vice versa.
Everyone who is calm or funny is either not brave or generous and vice versa.
If mary is both not patie... | Fred is not kind. | neutral | (![X]:((~strong(X)|~old(X))<=>(~rich(X)&patient(X))))&
((rich(alice))=>(?[X]:((curious(X)|~funny(X)))))&
((?[X]:(~quiet(X)))<=>((wise(john)&~patient(john))))&
(![X]:((calm(X)|funny(X))<=>(~brave(X)<~>generous(X))))&
(((~patient(mary)&kind(mary)))<=>(?[X]:((~happy(X)|~generous(X)))))&
((?[X]:((~patient(X)<~>humble(X))))... | ~kind(fred) | [] | null | 0 |
Everyone who is funny or wise is happy.
Everyone who is both patient and rich is not funny and vice versa.
If lucy is not humble or happy then susan is either not wise or happy and vice versa.
If someone is not brave or brave then lucy is either not quiet or curious.
Everyone who is either old or wise is both not creat... | Lucy is generous. | contradiction | (![X]:((funny(X)|wise(X))=>happy(X)))&
(![X]:((patient(X)&rich(X))<=>~funny(X)))&
(((~humble(lucy)|happy(lucy)))<=>((~wise(susan)<~>happy(susan))))&
((?[X]:((~brave(X)|brave(X))))=>((~quiet(lucy)<~>curious(lucy))))&
(![X]:((old(X)<~>wise(X))<=>(~creative(X)&~funny(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>kind(X)))&
((?... | generous(lucy) | [
"p3",
"p5",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 593744907961124625486708
% SZS output start Proof for 593744907961124625486708
4. ? [X0] : (brave(X0) | ~brave(X0)) => (~quiet(lucy) <~> curious(lucy)) [input p3]
6. ! [X0] : ((~quiet(X0) <~> curious(X0)) <=> kind(X0)) [input p5]
9. ! [X0] : ((~curious(X0) <~> ~strong(X0)) <=> (~happy(X0)... | 0 |
If mary is not quiet or not creative then someone is kind and vice versa.
If someone is both not wise and wise then someone is not calm or not patient and vice versa.
Everyone who is both not creative and funny is calm and vice versa.
Everyone who is not curious is not rich and vice versa.
If fred is either not rich or... | Paul is quiet. | contradiction | (((~quiet(mary)|~creative(mary)))<=>(?[X]:(kind(X))))&
((?[X]:((~wise(X)&wise(X))))<=>(?[X]:((~calm(X)|~patient(X)))))&
(![X]:((~creative(X)&funny(X))<=>calm(X)))&
(![X]:(~curious(X)<=>~rich(X)))&
(((~rich(fred)<~>~calm(fred)))<=>(humble(fred)))&
(((funny(paul)&curious(paul)))=>((~calm(mary)&~old(mary))))&
((?[X]:(~tal... | quiet(paul) | [
"p1",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5533515416314928051262314
% SZS output start Proof for 5533515416314928051262314
2. ? [X0] : (wise(X0) & ~wise(X0)) <=> ? [X0] : (~patient(X0) | ~calm(X0)) [input p1]
6. (curious(paul) & funny(paul)) => (~old(mary) & ~calm(mary)) [input p5]
14. ! [X0] : ((strong(X0) & curious(X0)) <=> (~q... | 0 |
Everyone who is both not patient and happy is not tall and vice versa. If someone is tall or rich then susan is not old or not curious. Everyone who is not calm or not brave is both happy and not wise and vice versa. Everyone who is either happy or not creative is either not calm or not curious and vice versa. If fred ... | Lucy is not kind. | entailment | (![X]:((~patient(X)&happy(X))<=>~tall(X)))&
((?[X]:((tall(X)|rich(X))))=>((~old(susan)|~curious(susan))))&
(![X]:((~calm(X)|~brave(X))<=>(happy(X)&~wise(X))))&
(![X]:((happy(X)<~>~creative(X))<=>(~calm(X)<~>~curious(X))))&
(((~funny(fred)|~kind(fred)))=>(?[X]:(funny(X))))&
(![X]:((~kind(X)|~quiet(X))<=>(~humble(X)&happ... | ~kind(lucy) | [
"p2",
"p3",
"p5",
"p7",
"p8",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3818842084430926183263279
% SZS output start Proof for 3818842084430926183263279
3. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (~wise(X0) & happy(X0))) [input p2]
4. ! [X0] : ((happy(X0) <~> ~creative(X0)) <=> (~calm(X0) <~> ~curious(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> ... | 0 |
Everyone who is both not tall and not quiet is not creative.
Everyone who is not creative is calm or not curious.
If someone is either not quiet or wise then lucy is both not curious and creative.
If someone is not rich or curious then someone is not happy.
If paul is not old then someone is not patient.
Everyone who i... | Lucy is patient. | entailment | (![X]:((~tall(X)&~quiet(X))=>~creative(X)))&
(![X]:(~creative(X)=>(calm(X)|~curious(X))))&
((?[X]:((~quiet(X)<~>wise(X))))=>((~curious(lucy)&creative(lucy))))&
((?[X]:((~rich(X)|curious(X))))=>(?[X]:(~happy(X))))&
((~old(paul))=>(?[X]:(~patient(X))))&
(![X]:((quiet(X)&~happy(X))=>(~tall(X)|~calm(X))))&
(![X]:((happy(X)... | patient(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5951762948982570810276621
% SZS output start Proof for 5951762948982570810276621
12. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (patient(X0) & strong(X0))) [input p11]
24. ~patient(lucy) [input hypothesis]
43. ! [X0] : ((patient(X0) & strong(X0)) | (quiet(X0) <=> ~quiet(X0))) [ennf transform... | 0 |
Everyone who is both not curious and not wise is both funny and not curious and vice versa.
If lucy is either rich or not curious then susan is both not quiet and not generous and vice versa.
Everyone who is either not calm or not curious is both curious and not happy and vice versa.
If alice is either calm or quiet th... | Alice is not brave. | contradiction | (![X]:((~curious(X)&~wise(X))<=>(funny(X)&~curious(X))))&
(((rich(lucy)<~>~curious(lucy)))<=>((~quiet(susan)&~generous(susan))))&
(![X]:((~calm(X)<~>~curious(X))<=>(curious(X)&~happy(X))))&
(((calm(alice)<~>quiet(alice)))<=>(?[X]:(~patient(X))))&
(![X]:((~strong(X)<~>strong(X))=>(quiet(X)<~>curious(X))))&
(((happy(paul... | ~brave(alice) | [
"p2",
"p4",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 269054024005865677893401
% SZS output start Proof for 269054024005865677893401
3. ! [X0] : ((~calm(X0) <~> ~curious(X0)) <=> (~happy(X0) & curious(X0))) [input p2]
5. ! [X0] : ((~strong(X0) <~> strong(X0)) => (quiet(X0) <~> curious(X0))) [input p4]
10. ! [X0] : ((calm(X0) & brave(X0)) <=>... | 0 |
If someone is not happy then susan is both not strong and rich.
If someone is not calm or curious then someone is creative and vice versa.
If paul is either not calm or strong then someone is both calm and not brave and vice versa.
Everyone who is not brave or curious is not wise.
If alice is generous then someone is r... | Lucy is generous. | neutral | ((?[X]:(~happy(X)))=>((~strong(susan)&rich(susan))))&
((?[X]:((~calm(X)|curious(X))))<=>(?[X]:(creative(X))))&
(((~calm(paul)<~>strong(paul)))<=>(?[X]:((calm(X)&~brave(X)))))&
(![X]:((~brave(X)|curious(X))=>~wise(X)))&
((generous(alice))<=>(?[X]:((rich(X)|strong(X)))))&
((?[X]:(tall(X)))=>((funny(susan)<~>~kind(susan))... | generous(lucy) | [] | null | 0 |
If someone is not patient or not brave then someone is creative and vice versa. If someone is not kind or not funny then susan is either not tall or not old and vice versa. Everyone who is either humble or wise is rich or not quiet and vice versa. Everyone who is generous is either wise or old and vice versa. If someon... | Fred is not wise. | entailment | ((?[X]:((~patient(X)|~brave(X))))<=>(?[X]:(creative(X))))&
((?[X]:((~kind(X)|~funny(X))))<=>((~tall(susan)<~>~old(susan))))&
(![X]:((humble(X)<~>wise(X))<=>(rich(X)|~quiet(X))))&
(![X]:(generous(X)<=>(wise(X)<~>old(X))))&
((?[X]:((~kind(X)&~funny(X))))=>(?[X]:((~wise(X)&humble(X)))))&
(((~quiet(john)&rich(john)))<=>(?[... | ~wise(fred) | [
"p2",
"p3",
"p6",
"p7",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8980207471864197506538805
% SZS output start Proof for 8980207471864197506538805
3. ! [X0] : ((humble(X0) <~> wise(X0)) <=> (~quiet(X0) | rich(X0))) [input p2]
4. ! [X0] : (generous(X0) <=> (wise(X0) <~> old(X0))) [input p3]
7. ! [X0] : ((generous(X0) & funny(X0)) <=> (~patient(X0) & ~gen... | 0 |
Everyone who is both not brave and not funny is either kind or old.
Everyone who is not tall or not strong is either not curious or not generous and vice versa.
If someone is brave then lucy is both not old and quiet.
If someone is not quiet then someone is either not funny or not quiet and vice versa.
Everyone who is ... | John is not humble. | entailment | (![X]:((~brave(X)&~funny(X))=>(kind(X)<~>old(X))))&
(![X]:((~tall(X)|~strong(X))<=>(~curious(X)<~>~generous(X))))&
((?[X]:(brave(X)))=>((~old(lucy)&quiet(lucy))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~funny(X)<~>~quiet(X)))))&
(![X]:((wise(X)|~wise(X))=>~humble(X)))&
((?[X]:((generous(X)|kind(X))))<=>(?[X]:(~calm(X))))&
(![X... | ~humble(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7733852100312880192997178
% SZS output start Proof for 7733852100312880192997178
5. ! [X0] : ((~wise(X0) | wise(X0)) => ~humble(X0)) [input p4]
24. humble(john) [input hypothesis]
33. ! [X0] : (~humble(X0) | (wise(X0) & ~wise(X0))) [ennf transformation 5]
87. ~humble(X0) | ~wise(X0) [cnf ... | 0 |
Everyone who is not strong or strong is calm or wise.
If someone is both not rich and old then someone is wise or calm and vice versa.
If susan is both old and not tall then lucy is both not humble and strong.
If paul is both quiet and not humble then someone is not brave or creative and vice versa.
If someone is eithe... | Paul is not creative. | entailment | (![X]:((~strong(X)|strong(X))=>(calm(X)|wise(X))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:((wise(X)|calm(X)))))&
(((old(susan)&~tall(susan)))=>((~humble(lucy)&strong(lucy))))&
(((quiet(paul)&~humble(paul)))<=>(?[X]:((~brave(X)|creative(X)))))&
((?[X]:((happy(X)<~>funny(X))))=>(~funny(lucy)))&
((?[X]:((curious(X)&~tall(X)... | ~creative(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4554643875927218523253318
% SZS output start Proof for 4554643875927218523253318
8. ! [X0] : (creative(X0) => (~creative(X0) & humble(X0))) [input p7]
25. creative(paul) [input hypothesis]
36. ! [X0] : ((~creative(X0) & humble(X0)) | ~creative(X0)) [ennf transformation 8]
105. ~creative(X... | 0 |
If alice is generous or not patient then someone is not strong or happy and vice versa. If john is both happy and not funny then someone is both quiet and patient and vice versa. Everyone who is patient is both not quiet and not kind and vice versa. Everyone who is happy or funny is not quiet or kind. Everyone who is n... | Mary is not funny. | contradiction | (((generous(alice)|~patient(alice)))<=>(?[X]:((~strong(X)|happy(X)))))&
(((happy(john)&~funny(john)))<=>(?[X]:((quiet(X)&patient(X)))))&
(![X]:(patient(X)<=>(~quiet(X)&~kind(X))))&
(![X]:((happy(X)|funny(X))=>(~quiet(X)|kind(X))))&
(![X]:(~tall(X)=>~humble(X)))&
(![X]:(old(X)=>(~curious(X)&~calm(X))))&
(![X]:((happy(X)... | ~funny(mary) | [
"p4",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1273658559675052102358473
% SZS output start Proof for 1273658559675052102358473
5. ! [X0] : (~tall(X0) => ~humble(X0)) [input p4]
12. ! [X0] : ((~humble(X0) | generous(X0)) => (~patient(X0) | funny(X0))) [input p11]
13. ! [X0] : (~tall(X0) <=> ~funny(X0)) [input p12]
23. ~patient(mary) <... | 0 |
Everyone who is wise is both funny and not quiet and vice versa.
Everyone who is old or kind is humble or generous and vice versa.
Everyone who is either not wise or not patient is both not happy and wise and vice versa.
Everyone who is both rich and creative is either not humble or brave and vice versa.
Everyone who i... | John is not creative. | neutral | (![X]:(wise(X)<=>(funny(X)&~quiet(X))))&
(![X]:((old(X)|kind(X))<=>(humble(X)|generous(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~happy(X)&wise(X))))&
(![X]:((rich(X)&creative(X))<=>(~humble(X)<~>brave(X))))&
(![X]:((~creative(X)|quiet(X))=>(~humble(X)|~wise(X))))&
(![X]:((quiet(X)&old(X))=>(rich(X)|curious(X))))&
(![X... | ~creative(john) | [] | null | 0 |
Everyone who is not curious or creative is both wise and rich. If someone is both rich and not funny then alice is not happy or not rich and vice versa. Everyone who is curious or not happy is either not rich or curious and vice versa. Everyone who is not patient is not creative or not curious. If someone is either not... | Alice is humble. | contradiction | (![X]:((~curious(X)|creative(X))=>(wise(X)&rich(X))))&
((?[X]:((rich(X)&~funny(X))))<=>((~happy(alice)|~rich(alice))))&
(![X]:((curious(X)|~happy(X))<=>(~rich(X)<~>curious(X))))&
(![X]:(~patient(X)=>(~creative(X)|~curious(X))))&
((?[X]:((~calm(X)<~>~tall(X))))=>(?[X]:((funny(X)|~creative(X)))))&
((?[X]:(calm(X)))<=>((p... | humble(alice) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8427358987264930348516621
% SZS output start Proof for 8427358987264930348516621
1. ! [X0] : ((creative(X0) | ~curious(X0)) => (rich(X0) & wise(X0))) [input p0]
2. ? [X0] : (~funny(X0) & rich(X0)) <=> (~rich(alice) | ~happy(alice)) [input p1]
3. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~... | 0 |
Everyone who is not strong is not brave or creative.
Everyone who is either not tall or kind is not kind or not strong and vice versa.
If someone is kind then paul is quiet and vice versa.
Everyone who is both rich and quiet is not old.
Everyone who is both old and creative is not quiet and vice versa.
If someone is bo... | Alice is not kind. | neutral | (![X]:(~strong(X)=>(~brave(X)|creative(X))))&
(![X]:((~tall(X)<~>kind(X))<=>(~kind(X)|~strong(X))))&
((?[X]:(kind(X)))<=>(quiet(paul)))&
(![X]:((rich(X)&quiet(X))=>~old(X)))&
(![X]:((old(X)&creative(X))<=>~quiet(X)))&
((?[X]:((humble(X)&~patient(X))))=>(?[X]:((~funny(X)&~rich(X)))))&
((?[X]:(rich(X)))<=>((~humble(paul)... | ~kind(alice) | [] | null | 0 |
Everyone who is either generous or rich is not humble.
If alice is patient or quiet then paul is not strong and vice versa.
Everyone who is either calm or not calm is tall and vice versa.
If john is either not quiet or wise then alice is either not generous or funny.
Everyone who is quiet or tall is both not creative a... | Alice is tall. | entailment | (![X]:((generous(X)<~>rich(X))=>~humble(X)))&
(((patient(alice)|quiet(alice)))<=>(~strong(paul)))&
(![X]:((calm(X)<~>~calm(X))<=>tall(X)))&
(((~quiet(john)<~>wise(john)))=>((~generous(alice)<~>funny(alice))))&
(![X]:((quiet(X)|tall(X))=>(~creative(X)&rich(X))))&
((funny(john))<=>(?[X]:((funny(X)&~tall(X)))))&
(![X]:((~... | tall(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 476077353974696586743036
% SZS output start Proof for 476077353974696586743036
3. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> tall(X0)) [input p2]
24. ~tall(alice) [input hypothesis]
39. ! [X0] : ((((calm(X0) | ~calm(X0)) & (~calm(X0) | calm(X0))) | ~tall(X0)) & (tall(X0) | ((calm(X0) | calm(X... | 0 |
Everyone who is both patient and not strong is either not wise or not strong and vice versa.
Everyone who is either wise or not patient is curious or not calm.
If someone is both wise and not curious then someone is either curious or humble.
Everyone who is either patient or not kind is both not brave and not creative.... | Mary is strong. | entailment | (![X]:((patient(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((wise(X)<~>~patient(X))=>(curious(X)|~calm(X))))&
((?[X]:((wise(X)&~curious(X))))=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((patient(X)<~>~kind(X))=>(~brave(X)&~creative(X))))&
(((humble(susan)&happy(susan)))<=>(?[X]:((calm(X)|~curious(X)))))&
(![X]:(... | strong(mary) | [
"p0",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 486203043989167285675017
% SZS output start Proof for 486203043989167285675017
1. ! [X0] : ((~strong(X0) & patient(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p0]
8. ? [X0] : (~funny(X0) | brave(X0)) => (old(john) & ~strong(john)) [input p7]
10. ! [X0] : ((~strong(X0) <~> brave(X0)) => (... | 0 |
If paul is both strong and not calm then someone is either curious or funny.
Everyone who is both not tall and rich is both strong and not humble and vice versa.
Everyone who is not happy is either not strong or strong.
If john is creative then fred is either rich or kind and vice versa.
Everyone who is both rich and n... | Paul is not wise. | contradiction | (((strong(paul)&~calm(paul)))=>(?[X]:((curious(X)<~>funny(X)))))&
(![X]:((~tall(X)&rich(X))<=>(strong(X)&~humble(X))))&
(![X]:(~happy(X)=>(~strong(X)<~>strong(X))))&
((creative(john))<=>((rich(fred)<~>kind(fred))))&
(![X]:((rich(X)&~humble(X))=>(rich(X)<~>generous(X))))&
((?[X]:(kind(X)))=>((kind(susan)<~>calm(susan)))... | ~wise(paul) | [
"p7",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 867039747006317917064917
% SZS output start Proof for 867039747006317917064917
8. ! [X0] : ((happy(X0) | curious(X0)) => ~generous(X0)) [input p7]
12. ! [X0] : (~generous(X0) => (creative(X0) & ~rich(X0))) [input p11]
14. ? [X0] : (~wise(X0) <~> ~curious(X0)) => ? [X0] : (~creative(X0) & ... | 0 |
If alice is both curious and not tall then someone is not quiet or not calm.
Everyone who is both funny and generous is not calm or quiet and vice versa.
Everyone who is rich is either quiet or patient and vice versa.
Everyone who is not rich is either not creative or not old and vice versa.
If fred is not happy then a... | John is not funny. | contradiction | (((curious(alice)&~tall(alice)))=>(?[X]:((~quiet(X)|~calm(X)))))&
(![X]:((funny(X)&generous(X))<=>(~calm(X)|quiet(X))))&
(![X]:(rich(X)<=>(quiet(X)<~>patient(X))))&
(![X]:(~rich(X)<=>(~creative(X)<~>~old(X))))&
((~happy(fred))<=>((kind(alice)&~patient(alice))))&
(![X]:(calm(X)<=>(happy(X)&~brave(X))))&
(![X]:(brave(X)<... | ~funny(john) | [
"p11",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1073120474053752797190226
% SZS output start Proof for 1073120474053752797190226
12. ! [X0] : (quiet(X0) <=> (~rich(X0) & ~old(X0))) [input p11]
15. ? [X0] : (~old(X0) | strong(X0)) => ~rich(john) [input p14]
21. ~funny(john) <~> ~rich(john) [input p20]
23. ? [X0] : (strong(X0) | quiet(X0... | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa. Everyone who is not kind or not funny is either wise or not funny and vice versa. Everyone who is either quiet or not kind is quiet or kind. If alice is not patient then mary is either creative or not brave. Everyone who is both t... | Lucy is not brave. | contradiction | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | ~brave(lucy) | [
"p4",
"p5",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4558025658611674152652905
% SZS output start Proof for 4558025658611674152652905
5. ! [X0] : ((strong(X0) & tall(X0)) <=> (generous(X0) & brave(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | funny(X0)) <=> (rich(X0) & tall(X0))) [input p5]
8. ! [X0] : (tall(X0) <=> (humble(X0) & strong(X0))) ... | 0 |
If mary is both not curious and not strong then lucy is not brave.
If john is not quiet then someone is either not calm or not kind.
Everyone who is not curious or not kind is either not tall or happy and vice versa.
If someone is not kind then someone is either tall or not calm.
Everyone who is either strong or not hu... | Alice is not calm. | contradiction | (((~curious(mary)&~strong(mary)))=>(~brave(lucy)))&
((~quiet(john))=>(?[X]:((~calm(X)<~>~kind(X)))))&
(![X]:((~curious(X)|~kind(X))<=>(~tall(X)<~>happy(X))))&
((?[X]:(~kind(X)))=>(?[X]:((tall(X)<~>~calm(X)))))&
(![X]:((strong(X)<~>~humble(X))<=>(~rich(X)|wise(X))))&
((?[X]:((funny(X)&generous(X))))<=>(?[X]:((strong(X)|... | ~calm(alice) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6072441185543757543908060
% SZS output start Proof for 6072441185543757543908060
24. rich(alice) & calm(alice) [input p23]
25. ~calm(alice) [input hypothesis]
151. calm(alice) [cnf transformation 24]
153. ~calm(alice) [cnf transformation 25]
325. $false [subsumption resolution 153,151]
% ... | 0 |
If someone is not generous or not curious then someone is not creative.
Everyone who is not funny is both generous and funny.
If someone is either funny or quiet then mary is both not old and rich and vice versa.
If alice is funny or quiet then john is humble.
Everyone who is either not rich or not generous is both not... | John is happy. | entailment | ((?[X]:((~generous(X)|~curious(X))))=>(?[X]:(~creative(X))))&
(![X]:(~funny(X)=>(generous(X)&funny(X))))&
((?[X]:((funny(X)<~>quiet(X))))<=>((~old(mary)&rich(mary))))&
(((funny(alice)|quiet(alice)))=>(humble(john)))&
(![X]:((~rich(X)<~>~generous(X))<=>(~funny(X)&old(X))))&
((?[X]:((wise(X)|~wise(X))))=>(?[X]:((strong(X... | happy(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1171220844255433308311999
% SZS output start Proof for 1171220844255433308311999
13. ! [X0] : ((~quiet(X0) | ~happy(X0)) <=> (happy(X0) & tall(X0))) [input p12]
25. ~happy(john) [input hypothesis]
62. ! [X0] : (((~quiet(X0) | ~happy(X0)) | (~happy(X0) | ~tall(X0))) & ((happy(X0) & tall(X0... | 0 |
If lucy is not curious then someone is both not calm and not creative and vice versa.
If someone is both funny and not curious then someone is creative or quiet and vice versa.
If someone is either tall or strong then alice is not generous.
Everyone who is funny or not kind is either creative or not creative.
Everyone ... | Lucy is not brave. | neutral | ((~curious(lucy))<=>(?[X]:((~calm(X)&~creative(X)))))&
((?[X]:((funny(X)&~curious(X))))<=>(?[X]:((creative(X)|quiet(X)))))&
((?[X]:((tall(X)<~>strong(X))))=>(~generous(alice)))&
(![X]:((funny(X)|~kind(X))=>(creative(X)<~>~creative(X))))&
(![X]:((~old(X)|~funny(X))=>(kind(X)|~old(X))))&
(((~humble(mary)<~>~curious(mary)... | ~brave(lucy) | [] | null | 0 |
Everyone who is not wise is either not tall or quiet and vice versa.
Everyone who is calm or not happy is brave or funny.
Everyone who is either generous or not calm is either not funny or not tall.
Everyone who is either kind or wise is strong and vice versa.
Everyone who is both not funny and calm is both humble and ... | Fred is not happy. | neutral | (![X]:(~wise(X)<=>(~tall(X)<~>quiet(X))))&
(![X]:((calm(X)|~happy(X))=>(brave(X)|funny(X))))&
(![X]:((generous(X)<~>~calm(X))=>(~funny(X)<~>~tall(X))))&
(![X]:((kind(X)<~>wise(X))<=>strong(X)))&
(![X]:((~funny(X)&calm(X))<=>(humble(X)&~humble(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(~wise(X)&~strong(X))))&
(((~wise(john)... | ~happy(fred) | [] | null | 0 |
Everyone who is not patient or not strong is not calm or curious.
If lucy is either not quiet or kind then someone is funny.
If someone is not rich then john is not happy or not generous.
If mary is not funny or not kind then fred is not kind and vice versa.
If lucy is wise or kind then susan is either not happy or not... | Mary is not quiet. | entailment | (![X]:((~patient(X)|~strong(X))=>(~calm(X)|curious(X))))&
(((~quiet(lucy)<~>kind(lucy)))=>(?[X]:(funny(X))))&
((?[X]:(~rich(X)))=>((~happy(john)|~generous(john))))&
(((~funny(mary)|~kind(mary)))<=>(~kind(fred)))&
(((wise(lucy)|kind(lucy)))<=>((~happy(susan)<~>~tall(susan))))&
(((humble(lucy)<~>wise(lucy)))=>(?[X]:((~wi... | ~quiet(mary) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 552787484892164301235874
% SZS output start Proof for 552787484892164301235874
23. creative(mary) & ~quiet(mary) [input p22]
25. quiet(mary) [input hypothesis]
27. ~quiet(mary) [pure predicate removal 23]
143. ~quiet(mary) [cnf transformation 27]
146. quiet(mary) [cnf transformation 25]
2... | 0 |
Everyone who is not wise is kind.
If fred is either not old or strong then fred is either not funny or not humble and vice versa.
Everyone who is either not patient or not wise is kind or not strong.
If someone is not happy then john is both not happy and funny.
Everyone who is not quiet or not calm is both not creativ... | Fred is not old. | neutral | (![X]:(~wise(X)=>kind(X)))&
(((~old(fred)<~>strong(fred)))<=>((~funny(fred)<~>~humble(fred))))&
(![X]:((~patient(X)<~>~wise(X))=>(kind(X)|~strong(X))))&
((?[X]:(~happy(X)))=>((~happy(john)&funny(john))))&
(![X]:((~quiet(X)|~calm(X))=>(~creative(X)&~wise(X))))&
(![X]:((~brave(X)|old(X))<=>(~humble(X)<~>tall(X))))&
(![X]... | ~old(fred) | [] | null | 0 |
Everyone who is curious is both not old and not tall.
If fred is not tall or not happy then someone is quiet and vice versa.
Everyone who is both rich and not wise is not wise and vice versa.
Everyone who is patient or calm is funny or not wise and vice versa.
Everyone who is both calm and not quiet is brave or calm an... | John is not curious. | entailment | (![X]:(curious(X)=>(~old(X)&~tall(X))))&
(((~tall(fred)|~happy(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((rich(X)&~wise(X))<=>~wise(X)))&
(![X]:((patient(X)|calm(X))<=>(funny(X)|~wise(X))))&
(![X]:((calm(X)&~quiet(X))<=>(brave(X)|calm(X))))&
(![X]:((~calm(X)&creative(X))=>(~rich(X)&~generous(X))))&
((~curious(susan))<=>(?[X... | ~curious(john) | [
"p4",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6990347191774406299733835
% SZS output start Proof for 6990347191774406299733835
5. ! [X0] : ((~quiet(X0) & calm(X0)) <=> (calm(X0) | brave(X0))) [input p4]
9. ! [X0] : ((curious(X0) | ~kind(X0)) => (~wise(X0) & brave(X0))) [input p8]
23. quiet(john) [input p22]
24. curious(john) [input h... | 0 |
Everyone who is either kind or brave is either not rich or not quiet. If susan is not patient then someone is not calm or not kind. Everyone who is either brave or not generous is not generous. If alice is both not kind and not happy then someone is generous or not old. Everyone who is both not humble and not kind is w... | Mary is not brave. | entailment | (![X]:((kind(X)<~>brave(X))=>(~rich(X)<~>~quiet(X))))&
((~patient(susan))=>(?[X]:((~calm(X)|~kind(X)))))&
(![X]:((brave(X)<~>~generous(X))=>~generous(X)))&
(((~kind(alice)&~happy(alice)))=>(?[X]:((generous(X)|~old(X)))))&
(![X]:((~humble(X)&~kind(X))=>wise(X)))&
(![X]:((calm(X)|~rich(X))=>~calm(X)))&
((?[X]:((calm(X)<~... | ~brave(mary) | [
"p0",
"p2",
"p5",
"p7",
"p9",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7905173124022009662500701
% SZS output start Proof for 7905173124022009662500701
1. ! [X0] : ((kind(X0) <~> brave(X0)) => (~rich(X0) <~> ~quiet(X0))) [input p0]
3. ! [X0] : ((brave(X0) <~> ~generous(X0)) => ~generous(X0)) [input p2]
6. ! [X0] : ((~rich(X0) | calm(X0)) => ~calm(X0)) [input... | 0 |
If someone is both quiet and not rich then someone is both quiet and not curious and vice versa.
Everyone who is both not happy and not kind is both not wise and brave and vice versa.
Everyone who is generous is both not funny and not rich and vice versa.
If susan is brave or quiet then paul is not patient or kind.
If ... | Paul is not tall. | contradiction | ((?[X]:((quiet(X)&~rich(X))))<=>(?[X]:((quiet(X)&~curious(X)))))&
(![X]:((~happy(X)&~kind(X))<=>(~wise(X)&brave(X))))&
(![X]:(generous(X)<=>(~funny(X)&~rich(X))))&
(((brave(susan)|quiet(susan)))=>((~patient(paul)|kind(paul))))&
((?[X]:((~rich(X)<~>~generous(X))))=>(happy(mary)))&
(![X]:(funny(X)<=>(~rich(X)<~>kind(X)))... | ~tall(paul) | [
"p6",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3670772677410225852341632
% SZS output start Proof for 3670772677410225852341632
7. ! [X0] : ((curious(X0) & funny(X0)) <=> (~tall(X0) & wise(X0))) [input p6]
18. ~creative(paul) & ~funny(paul) [input p17]
24. wise(paul) [input p23]
25. ~tall(paul) [input hypothesis]
28. ~funny(paul) [pur... | 0 |
Everyone who is rich or humble is either not brave or not generous and vice versa.
Everyone who is not funny or not patient is calm or not generous.
Everyone who is not quiet is not happy or not quiet and vice versa.
Everyone who is both not curious and not old is both not patient and tall and vice versa.
Everyone who ... | Susan is not funny. | neutral | (![X]:((rich(X)|humble(X))<=>(~brave(X)<~>~generous(X))))&
(![X]:((~funny(X)|~patient(X))=>(calm(X)|~generous(X))))&
(![X]:(~quiet(X)<=>(~happy(X)|~quiet(X))))&
(![X]:((~curious(X)&~old(X))<=>(~patient(X)&tall(X))))&
(![X]:((~curious(X)&~old(X))=>(~quiet(X)|creative(X))))&
((?[X]:((tall(X)<~>strong(X))))<=>(funny(paul)... | ~funny(susan) | [] | null | 0 |
If someone is patient then someone is both old and generous.
If fred is both not curious and not rich then someone is not brave.
If someone is old then paul is patient and vice versa.
Everyone who is both creative and not humble is not happy or not quiet and vice versa.
Everyone who is patient or not wise is either tal... | Susan is not generous. | neutral | ((?[X]:(patient(X)))=>(?[X]:((old(X)&generous(X)))))&
(((~curious(fred)&~rich(fred)))=>(?[X]:(~brave(X))))&
((?[X]:(old(X)))<=>(patient(paul)))&
(![X]:((creative(X)&~humble(X))<=>(~happy(X)|~quiet(X))))&
(![X]:((patient(X)|~wise(X))=>(tall(X)<~>~funny(X))))&
(![X]:(~curious(X)=>(~calm(X)<~>rich(X))))&
(![X]:((~generous... | ~generous(susan) | [] | null | 0 |
Everyone who is brave is wise and vice versa.
Everyone who is not quiet is either creative or not tall and vice versa.
If john is either not wise or not strong then someone is both happy and curious and vice versa.
If lucy is not generous or humble then someone is not generous or not old and vice versa.
If susan is not... | Fred is not rich. | entailment | (![X]:(brave(X)<=>wise(X)))&
(![X]:(~quiet(X)<=>(creative(X)<~>~tall(X))))&
(((~wise(john)<~>~strong(john)))<=>(?[X]:((happy(X)&curious(X)))))&
(((~generous(lucy)|humble(lucy)))<=>(?[X]:((~generous(X)|~old(X)))))&
((~humble(susan))<=>((funny(paul)&humble(paul))))&
(![X]:((~patient(X)&generous(X))=>(calm(X)<~>wise(X))))... | ~rich(fred) | [
"p0",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2578732831924029991332125
% SZS output start Proof for 2578732831924029991332125
1. ! [X0] : (brave(X0) <=> wise(X0)) [input p0]
12. ! [X0] : ((~creative(X0) | ~kind(X0)) => (wise(X0) & old(X0))) [input p11]
13. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (~kind(X0) | ~rich(X0))) [input p12]
2... | 0 |
If paul is not strong or not calm then someone is both not wise and not strong and vice versa.
Everyone who is tall or not quiet is not kind or kind.
If susan is either not kind or funny then lucy is happy and vice versa.
If lucy is either not brave or not curious then mary is either not calm or not happy.
If someone i... | Fred is generous. | neutral | (((~strong(paul)|~calm(paul)))<=>(?[X]:((~wise(X)&~strong(X)))))&
(![X]:((tall(X)|~quiet(X))=>(~kind(X)|kind(X))))&
(((~kind(susan)<~>funny(susan)))<=>(happy(lucy)))&
(((~brave(lucy)<~>~curious(lucy)))=>((~calm(mary)<~>~happy(mary))))&
((?[X]:((~patient(X)&~generous(X))))=>(~kind(alice)))&
(((old(mary)|~wise(mary)))=>(... | generous(fred) | [] | null | 0 |
If someone is either not old or not generous then someone is both not humble and generous. If fred is not patient then paul is not tall or not patient. Everyone who is both curious and not tall is either not generous or patient and vice versa. If alice is brave then lucy is either happy or not kind and vice versa. Ever... | John is kind. | neutral | ((?[X]:((~old(X)<~>~generous(X))))=>(?[X]:((~humble(X)&generous(X)))))&
((~patient(fred))=>((~tall(paul)|~patient(paul))))&
(![X]:((curious(X)&~tall(X))<=>(~generous(X)<~>patient(X))))&
((brave(alice))<=>((happy(lucy)<~>~kind(lucy))))&
(![X]:(~humble(X)<=>kind(X)))&
((~brave(mary))<=>((~generous(john)&~curious(john))))... | kind(john) | [] | null | 0 |
If john is both not brave and not old then someone is not generous or calm and vice versa.
Everyone who is not rich or tall is either generous or strong and vice versa.
If paul is either creative or not creative then someone is not creative or not strong.
If mary is both quiet and tall then someone is both not generous... | Susan is happy. | entailment | (((~brave(john)&~old(john)))<=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:((~rich(X)|tall(X))<=>(generous(X)<~>strong(X))))&
(((creative(paul)<~>~creative(paul)))=>(?[X]:((~creative(X)|~strong(X)))))&
(((quiet(mary)&tall(mary)))=>(?[X]:((~generous(X)&~curious(X)))))&
((?[X]:((quiet(X)&~wise(X))))<=>(?[X]:((patient(X)<~>cu... | happy(susan) | [
"p7",
"p9",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 935748939614527953390728
% SZS output start Proof for 935748939614527953390728
8. ! [X0] : ((old(X0) | patient(X0)) <=> (brave(X0) & ~creative(X0))) [input p7]
10. ~kind(susan) <=> ? [X0] : ~patient(X0) [input p9]
14. ! [X0] : ((rich(X0) | generous(X0)) => kind(X0)) [input p13]
15. ! [X0]... | 0 |
If alice is wise then someone is either not calm or not rich. Everyone who is either quiet or kind is both wise and funny and vice versa. If susan is not humble then someone is either creative or curious. Everyone who is strong or humble is either not strong or not rich. Everyone who is not curious is humble or rich an... | Susan is strong. | neutral | ((wise(alice))=>(?[X]:((~calm(X)<~>~rich(X)))))&
(![X]:((quiet(X)<~>kind(X))<=>(wise(X)&funny(X))))&
((~humble(susan))=>(?[X]:((creative(X)<~>curious(X)))))&
(![X]:((strong(X)|humble(X))=>(~strong(X)<~>~rich(X))))&
(![X]:(~curious(X)<=>(humble(X)|rich(X))))&
(((~kind(susan)&~creative(susan)))=>(~patient(susan)))&
((?[X... | strong(susan) | [] | null | 0 |
Everyone who is not happy or calm is either not wise or brave.
Everyone who is both not quiet and funny is curious.
Everyone who is strong is humble and vice versa.
If alice is quiet or generous then lucy is both rich and wise.
Everyone who is both not kind and happy is both not old and not brave and vice versa.
If pau... | Lucy is not patient. | entailment | (![X]:((~happy(X)|calm(X))=>(~wise(X)<~>brave(X))))&
(![X]:((~quiet(X)&funny(X))=>curious(X)))&
(![X]:(strong(X)<=>humble(X)))&
(((quiet(alice)|generous(alice)))=>((rich(lucy)&wise(lucy))))&
(![X]:((~kind(X)&happy(X))<=>(~old(X)&~brave(X))))&
((~tall(paul))=>((kind(fred)<~>~calm(fred))))&
(![X]:((~humble(X)<~>~happy(X)... | ~patient(lucy) | [
"p2",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4780500566492117469796107
% SZS output start Proof for 4780500566492117469796107
3. ! [X0] : (strong(X0) <=> humble(X0)) [input p2]
14. ! [X0] : ((~humble(X0) | brave(X0)) <=> (strong(X0) & quiet(X0))) [input p13]
16. ! [X0] : ((creative(X0) | patient(X0)) => ~strong(X0)) [input p15]
21. ... | 0 |
Everyone who is either not rich or curious is both not brave and not wise. Everyone who is not rich is both calm and not humble. If someone is either not strong or funny then someone is either not patient or tall and vice versa. Everyone who is old or not strong is wise or not calm. Everyone who is either not strong or... | Mary is not tall. | entailment | (![X]:((~rich(X)<~>curious(X))=>(~brave(X)&~wise(X))))&
(![X]:(~rich(X)=>(calm(X)&~humble(X))))&
((?[X]:((~strong(X)<~>funny(X))))<=>(?[X]:((~patient(X)<~>tall(X)))))&
(![X]:((old(X)|~strong(X))=>(wise(X)|~calm(X))))&
(![X]:((~strong(X)<~>happy(X))<=>~quiet(X)))&
(![X]:(humble(X)<=>wise(X)))&
(((~calm(john)&~strong(joh... | ~tall(mary) | [
"p5",
"p9",
"p10",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7912883981948102652661941
% SZS output start Proof for 7912883981948102652661941
6. ! [X0] : (humble(X0) <=> wise(X0)) [input p5]
10. ! [X0] : ((~strong(X0) | tall(X0)) => (~strong(X0) | ~kind(X0))) [input p9]
11. ! [X0] : ((~tall(X0) <~> strong(X0)) <=> (~brave(X0) | ~creative(X0))) [inp... | 0 |
If someone is not generous or not calm then someone is either wise or brave.
If someone is both not quiet and humble then alice is curious.
If john is wise or not brave then fred is not wise or not curious.
If john is creative then someone is happy or not wise and vice versa.
Everyone who is not creative is not calm or... | John is humble. | contradiction | ((?[X]:((~generous(X)|~calm(X))))=>(?[X]:((wise(X)<~>brave(X)))))&
((?[X]:((~quiet(X)&humble(X))))=>(curious(alice)))&
(((wise(john)|~brave(john)))=>((~wise(fred)|~curious(fred))))&
((creative(john))<=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:(~creative(X)<=>(~calm(X)|humble(X))))&
(((strong(mary)&~wise(mary)))=>(?[X]:((~f... | humble(john) | [
"p2",
"p3",
"p4",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 371528473691445211319335
% SZS output start Proof for 371528473691445211319335
3. (~brave(john) | wise(john)) => (~curious(fred) | ~wise(fred)) [input p2]
4. creative(john) <=> ? [X0] : (~wise(X0) | happy(X0)) [input p3]
5. ! [X0] : (~creative(X0) <=> (humble(X0) | ~calm(X0))) [input p4]
... | 0 |
If someone is generous then lucy is kind or happy and vice versa.
If alice is not creative or not curious then someone is strong and vice versa.
Everyone who is both not calm and rich is wise.
Everyone who is happy or strong is either not calm or calm and vice versa.
Everyone who is either not old or not funny is eithe... | John is not old. | neutral | ((?[X]:(generous(X)))<=>((kind(lucy)|happy(lucy))))&
(((~creative(alice)|~curious(alice)))<=>(?[X]:(strong(X))))&
(![X]:((~calm(X)&rich(X))=>wise(X)))&
(![X]:((happy(X)|strong(X))<=>(~calm(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:((quiet(X)&~creative(X))<=>(~tall(X)|creative(X... | ~old(john) | [] | null | 0 |
Everyone who is both not funny and rich is either not humble or kind and vice versa.
Everyone who is not creative is not strong and vice versa.
Everyone who is old or not generous is both strong and not happy.
Everyone who is both not quiet and wise is happy and vice versa.
Everyone who is both patient and not creative... | Fred is not brave. | neutral | (![X]:((~funny(X)&rich(X))<=>(~humble(X)<~>kind(X))))&
(![X]:(~creative(X)<=>~strong(X)))&
(![X]:((old(X)|~generous(X))=>(strong(X)&~happy(X))))&
(![X]:((~quiet(X)&wise(X))<=>happy(X)))&
(![X]:((patient(X)&~creative(X))<=>(~generous(X)|kind(X))))&
(![X]:((~funny(X)|brave(X))<=>(~humble(X)|~patient(X))))&
(![X]:((patien... | ~brave(fred) | [] | null | 0 |
Everyone who is not funny or generous is brave or not happy and vice versa.
If someone is either creative or not wise then someone is not calm and vice versa.
Everyone who is happy or not humble is either not tall or not humble.
Everyone who is either strong or not patient is humble and vice versa.
Everyone who is eith... | Lucy is not brave. | contradiction | (![X]:((~funny(X)|generous(X))<=>(brave(X)|~happy(X))))&
((?[X]:((creative(X)<~>~wise(X))))<=>(?[X]:(~calm(X))))&
(![X]:((happy(X)|~humble(X))=>(~tall(X)<~>~humble(X))))&
(![X]:((strong(X)<~>~patient(X))<=>humble(X)))&
(![X]:((~creative(X)<~>~curious(X))<=>(~patient(X)|~curious(X))))&
(![X]:((~curious(X)<~>~strong(X))<... | ~brave(lucy) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4941865122301328781109678
% SZS output start Proof for 4941865122301328781109678
7. ! [X0] : ((~brave(X0) <~> ~curious(X0)) => (happy(X0) & ~wise(X0))) [input p6]
11. ! [X0] : ((curious(X0) & ~wise(X0)) <=> ~curious(X0)) [input p10]
24. ~brave(lucy) [input hypothesis]
33. ! [X0] : ((happy... | 0 |
If lucy is generous or kind then someone is strong.
If fred is both wise and not calm then someone is quiet and vice versa.
Everyone who is both funny and patient is generous and vice versa.
If john is both not old and not wise then someone is both rich and funny.
Everyone who is both tall and not humble is both not ri... | John is not wise. | neutral | (((generous(lucy)|kind(lucy)))=>(?[X]:(strong(X))))&
(((wise(fred)&~calm(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((funny(X)&patient(X))<=>generous(X)))&
(((~old(john)&~wise(john)))=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((tall(X)&~humble(X))<=>(~rich(X)&~strong(X))))&
(![X]:((old(X)<~>creative(X))<=>(~funny(X)|~old(X))))&
((... | ~wise(john) | [] | null | 0 |
If lucy is wise then someone is rich.
Everyone who is not calm is either not kind or not strong.
Everyone who is patient or not kind is either not old or not strong and vice versa.
Everyone who is either quiet or strong is both not tall and not wise and vice versa.
Everyone who is strong or not wise is both not humble ... | Fred is humble. | neutral | ((wise(lucy))=>(?[X]:(rich(X))))&
(![X]:(~calm(X)=>(~kind(X)<~>~strong(X))))&
(![X]:((patient(X)|~kind(X))<=>(~old(X)<~>~strong(X))))&
(![X]:((quiet(X)<~>strong(X))<=>(~tall(X)&~wise(X))))&
(![X]:((strong(X)|~wise(X))<=>(~humble(X)&kind(X))))&
(![X]:((generous(X)<~>~calm(X))=>~strong(X)))&
(![X]:((~kind(X)&~rich(X))=>(... | humble(fred) | [] | null | 0 |
Everyone who is both creative and not calm is old or tall.
If susan is creative or not funny then susan is tall.
If someone is not strong then someone is not humble and vice versa.
Everyone who is either not brave or not curious is not old or calm.
Everyone who is either not brave or not strong is both not quiet and no... | John is kind. | entailment | (![X]:((creative(X)&~calm(X))=>(old(X)|tall(X))))&
(((creative(susan)|~funny(susan)))=>(tall(susan)))&
((?[X]:(~strong(X)))<=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)<~>~curious(X))=>(~old(X)|calm(X))))&
(![X]:((~brave(X)<~>~strong(X))<=>(~quiet(X)&~strong(X))))&
(((~rich(susan)<~>~calm(susan)))=>(?[X]:((~patient(X)&wis... | kind(john) | [
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8684742551599546363108094
% SZS output start Proof for 8684742551599546363108094
9. ! [X0] : ((~patient(X0) | rich(X0)) => (~strong(X0) & brave(X0))) [input p8]
10. ! [X0] : (~kind(X0) <=> (~patient(X0) & happy(X0))) [input p9]
11. ! [X0] : ((happy(X0) | ~quiet(X0)) <=> strong(X0)) [input... | 0 |
Everyone who is both not happy and not generous is tall and vice versa.
If john is both not brave and not quiet then susan is either old or not kind.
Everyone who is not tall is both not strong and creative.
If someone is happy or not brave then someone is strong or not wise and vice versa.
If someone is wise or not ha... | Lucy is not curious. | contradiction | (![X]:((~happy(X)&~generous(X))<=>tall(X)))&
(((~brave(john)&~quiet(john)))=>((old(susan)<~>~kind(susan))))&
(![X]:(~tall(X)=>(~strong(X)&creative(X))))&
((?[X]:((happy(X)|~brave(X))))<=>(?[X]:((strong(X)|~wise(X)))))&
((?[X]:((wise(X)|~happy(X))))=>(?[X]:((brave(X)&~happy(X)))))&
(((kind(mary)<~>~strong(mary)))=>((~fu... | ~curious(lucy) | [
"p0",
"p2",
"p7",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6777198358137959991472256
% SZS output start Proof for 6777198358137959991472256
1. ! [X0] : ((~generous(X0) & ~happy(X0)) <=> tall(X0)) [input p0]
3. ! [X0] : (~tall(X0) => (creative(X0) & ~strong(X0))) [input p2]
8. ! [X0] : ((~creative(X0) | ~patient(X0)) <=> (humble(X0) & ~humble(X0))... | 0 |
Everyone who is patient is not strong or not humble and vice versa.
If someone is either not brave or strong then someone is both not calm and not old.
Everyone who is either creative or not humble is not tall or kind.
If someone is either quiet or creative then someone is not quiet or happy.
If someone is not funny or... | Fred is patient. | entailment | (![X]:(patient(X)<=>(~strong(X)|~humble(X))))&
((?[X]:((~brave(X)<~>strong(X))))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((creative(X)<~>~humble(X))=>(~tall(X)|kind(X))))&
((?[X]:((quiet(X)<~>creative(X))))=>(?[X]:((~quiet(X)|happy(X)))))&
((?[X]:((~funny(X)|curious(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((creative(X)<~>calm(... | patient(fred) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7921278479015895397154927
% SZS output start Proof for 7921278479015895397154927
1. ! [X0] : (patient(X0) <=> (~humble(X0) | ~strong(X0))) [input p0]
19. ~strong(fred) [input p18]
25. ~patient(fred) [input hypothesis]
45. ! [X0] : ((patient(X0) | (humble(X0) & strong(X0))) & ((~humble(X0)... | 0 |
If john is either not happy or happy then mary is kind.
Everyone who is both quiet and not funny is funny.
If someone is brave or strong then someone is not quiet and vice versa.
If mary is either brave or not curious then lucy is humble or not strong.
Everyone who is patient or not curious is both curious and not calm... | Susan is not tall. | neutral | (((~happy(john)<~>happy(john)))=>(kind(mary)))&
(![X]:((quiet(X)&~funny(X))=>funny(X)))&
((?[X]:((brave(X)|strong(X))))<=>(?[X]:(~quiet(X))))&
(((brave(mary)<~>~curious(mary)))=>((humble(lucy)|~strong(lucy))))&
(![X]:((patient(X)|~curious(X))<=>(curious(X)&~calm(X))))&
((?[X]:((rich(X)<~>~old(X))))<=>((~kind(lucy)<~>~s... | ~tall(susan) | [] | null | 0 |
Everyone who is both strong and kind is not rich. Everyone who is not quiet or quiet is strong or humble. Everyone who is both tall and creative is either not funny or not quiet. Everyone who is not happy or not quiet is calm. If someone is tall then someone is both curious and calm. Everyone who is both wise and patie... | John is tall. | neutral | (![X]:((strong(X)&kind(X))=>~rich(X)))&
(![X]:((~quiet(X)|quiet(X))=>(strong(X)|humble(X))))&
(![X]:((tall(X)&creative(X))=>(~funny(X)<~>~quiet(X))))&
(![X]:((~happy(X)|~quiet(X))=>calm(X)))&
((?[X]:(tall(X)))=>(?[X]:((curious(X)&calm(X)))))&
(![X]:((wise(X)&patient(X))<=>~happy(X)))&
((creative(mary))<=>(?[X]:((tall(X... | tall(john) | [] | null | 0 |
Everyone who is both wise and strong is generous or happy and vice versa.
Everyone who is either calm or creative is humble or not creative.
If alice is wise or happy then someone is both not quiet and not kind and vice versa.
Everyone who is not tall is not kind and vice versa.
If john is strong or not strong then luc... | Alice is not tall. | neutral | (![X]:((wise(X)&strong(X))<=>(generous(X)|happy(X))))&
(![X]:((calm(X)<~>creative(X))=>(humble(X)|~creative(X))))&
(((wise(alice)|happy(alice)))<=>(?[X]:((~quiet(X)&~kind(X)))))&
(![X]:(~tall(X)<=>~kind(X)))&
(((strong(john)|~strong(john)))=>((~calm(lucy)<~>~curious(lucy))))&
((?[X]:(wise(X)))<=>((brave(john)&~curious(... | ~tall(alice) | [] | null | 0 |
Everyone who is either not generous or brave is both not generous and not old and vice versa.
Everyone who is funny is either not creative or quiet.
If paul is both curious and calm then mary is not wise and vice versa.
Everyone who is humble or generous is both patient and not old and vice versa.
If susan is wise or n... | Alice is not quiet. | neutral | (![X]:((~generous(X)<~>brave(X))<=>(~generous(X)&~old(X))))&
(![X]:(funny(X)=>(~creative(X)<~>quiet(X))))&
(((curious(paul)&calm(paul)))<=>(~wise(mary)))&
(![X]:((humble(X)|generous(X))<=>(patient(X)&~old(X))))&
(((wise(susan)|~rich(susan)))<=>(wise(fred)))&
(((~wise(alice)<~>~tall(alice)))<=>((~old(john)<~>~creative(j... | ~quiet(alice) | [] | null | 0 |
Everyone who is funny is calm or curious and vice versa.
Everyone who is not funny is not old or happy.
If someone is both curious and not old then someone is either funny or happy.
Everyone who is not strong or funny is not patient.
If john is not kind or not brave then someone is not patient or quiet and vice versa.
... | Susan is not creative. | neutral | (![X]:(funny(X)<=>(calm(X)|curious(X))))&
(![X]:(~funny(X)=>(~old(X)|happy(X))))&
((?[X]:((curious(X)&~old(X))))=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:((~strong(X)|funny(X))=>~patient(X)))&
(((~kind(john)|~brave(john)))<=>(?[X]:((~patient(X)|quiet(X)))))&
((?[X]:(~humble(X)))<=>(?[X]:((~brave(X)&kind(X)))))&
(((patie... | ~creative(susan) | [] | null | 0 |
Everyone who is funny is tall or not happy.
If someone is either not funny or creative then someone is either happy or not happy and vice versa.
If someone is brave or funny then john is either funny or quiet.
If someone is not patient or not old then paul is happy.
If someone is either rich or not curious then someone... | John is not happy. | neutral | (![X]:(funny(X)=>(tall(X)|~happy(X))))&
((?[X]:((~funny(X)<~>creative(X))))<=>(?[X]:((happy(X)<~>~happy(X)))))&
((?[X]:((brave(X)|funny(X))))=>((funny(john)<~>quiet(john))))&
((?[X]:((~patient(X)|~old(X))))=>(happy(paul)))&
((?[X]:((rich(X)<~>~curious(X))))=>(?[X]:((~happy(X)|~humble(X)))))&
((?[X]:((~funny(X)|~old(X))... | ~happy(john) | [] | null | 0 |
Everyone who is both not kind and not strong is humble or not funny.
Everyone who is not kind or not funny is not humble or not calm.
Everyone who is old or not generous is not tall or old.
If someone is either not humble or not calm then paul is both not creative and rich and vice versa.
If someone is either not humbl... | Fred is not rich. | neutral | (![X]:((~kind(X)&~strong(X))=>(humble(X)|~funny(X))))&
(![X]:((~kind(X)|~funny(X))=>(~humble(X)|~calm(X))))&
(![X]:((old(X)|~generous(X))=>(~tall(X)|old(X))))&
((?[X]:((~humble(X)<~>~calm(X))))<=>((~creative(paul)&rich(paul))))&
((?[X]:((~humble(X)<~>happy(X))))<=>(humble(john)))&
(((~kind(susan)&curious(susan)))<=>((~... | ~rich(fred) | [] | null | 0 |
Everyone who is not calm is calm.
If paul is both kind and humble then alice is both not funny and calm.
If lucy is not quiet then someone is not strong.
Everyone who is either calm or not strong is either wise or not brave and vice versa.
Everyone who is not rich or not strong is both not humble and tall and vice vers... | Mary is not quiet. | entailment | (![X]:(~calm(X)=>calm(X)))&
(((kind(paul)&humble(paul)))=>((~funny(alice)&calm(alice))))&
((~quiet(lucy))=>(?[X]:(~strong(X))))&
(![X]:((calm(X)<~>~strong(X))<=>(wise(X)<~>~brave(X))))&
(![X]:((~rich(X)|~strong(X))<=>(~humble(X)&tall(X))))&
(![X]:(rich(X)<=>~calm(X)))&
(![X]:((curious(X)<~>strong(X))=>(rich(X)|humble(X... | ~quiet(mary) | [
"p0",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 278691856280803843957132
% SZS output start Proof for 278691856280803843957132
1. ! [X0] : (~calm(X0) => calm(X0)) [input p0]
6. ! [X0] : (rich(X0) <=> ~calm(X0)) [input p5]
10. ! [X0] : ((kind(X0) | ~rich(X0)) => (~quiet(X0) & ~patient(X0))) [input p9]
23. quiet(mary) [input hypothesis]
... | 0 |
Everyone who is either wise or rich is not curious and vice versa. Everyone who is both not strong and rich is not patient or not humble and vice versa. Everyone who is kind or not patient is not creative or wise and vice versa. Everyone who is not old is either not calm or not wise and vice versa. Everyone who is wise... | Paul is curious. | entailment | (![X]:((wise(X)<~>rich(X))<=>~curious(X)))&
(![X]:((~strong(X)&rich(X))<=>(~patient(X)|~humble(X))))&
(![X]:((kind(X)|~patient(X))<=>(~creative(X)|wise(X))))&
(![X]:(~old(X)<=>(~calm(X)<~>~wise(X))))&
(![X]:(wise(X)<=>(happy(X)|brave(X))))&
(![X]:((~generous(X)&~quiet(X))=>(~tall(X)|~old(X))))&
((?[X]:(~wise(X)))<=>((c... | curious(paul) | [
"p0",
"p1",
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1383421060019060817577703
% SZS output start Proof for 1383421060019060817577703
1. ! [X0] : ((wise(X0) <~> rich(X0)) <=> ~curious(X0)) [input p0]
2. ! [X0] : ((rich(X0) & ~strong(X0)) <=> (~humble(X0) | ~patient(X0))) [input p1]
5. ! [X0] : (wise(X0) <=> (brave(X0) | happy(X0))) [input p... | 0 |
If someone is happy then paul is not strong.
Everyone who is either not rich or funny is not tall and vice versa.
Everyone who is both not patient and rich is not generous or not curious and vice versa.
If someone is not strong then someone is generous or not strong and vice versa.
Everyone who is not tall or not curio... | Alice is not rich. | contradiction | ((?[X]:(happy(X)))=>(~strong(paul)))&
(![X]:((~rich(X)<~>funny(X))<=>~tall(X)))&
(![X]:((~patient(X)&rich(X))<=>(~generous(X)|~curious(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((generous(X)|~strong(X)))))&
(![X]:((~tall(X)|~curious(X))<=>(quiet(X)|humble(X))))&
(((rich(paul)|~creative(paul)))<=>((~kind(lucy)<~>~patient(lucy... | ~rich(alice) | [
"p1",
"p2",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2191769570171369993668502
% SZS output start Proof for 2191769570171369993668502
2. ! [X0] : ((~rich(X0) <~> funny(X0)) <=> ~tall(X0)) [input p1]
3. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (~curious(X0) | ~generous(X0))) [input p2]
8. ! [X0] : (~funny(X0) <=> (~rich(X0) & ~generous(X0))) ... | 0 |
Everyone who is both humble and patient is brave and vice versa.
If someone is not creative then lucy is both not generous and generous.
If john is not wise or generous then someone is not creative or not brave.
Everyone who is humble or wise is not wise or brave and vice versa.
If fred is both happy and humble then so... | Lucy is not happy. | entailment | (![X]:((humble(X)&patient(X))<=>brave(X)))&
((?[X]:(~creative(X)))=>((~generous(lucy)&generous(lucy))))&
(((~wise(john)|generous(john)))=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:((humble(X)|wise(X))<=>(~wise(X)|brave(X))))&
(((happy(fred)&humble(fred)))<=>(?[X]:((happy(X)&wise(X)))))&
(![X]:((old(X)<~>tall(X))<=>(~ha... | ~happy(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 131633434272075613189786
% SZS output start Proof for 131633434272075613189786
1. ! [X0] : ((patient(X0) & humble(X0)) <=> brave(X0)) [input p0]
2. ? [X0] : ~creative(X0) => (generous(lucy) & ~generous(lucy)) [input p1]
4. ! [X0] : ((wise(X0) | humble(X0)) <=> (brave(X0) | ~wise(X0))) [in... | 0 |
If lucy is both not calm and not humble then alice is not kind and vice versa.
Everyone who is either brave or not old is quiet and vice versa.
If john is both happy and rich then someone is not humble or funny and vice versa.
If paul is not funny or creative then alice is both not curious and not strong and vice versa... | Mary is creative. | contradiction | (((~calm(lucy)&~humble(lucy)))<=>(~kind(alice)))&
(![X]:((brave(X)<~>~old(X))<=>quiet(X)))&
(((happy(john)&rich(john)))<=>(?[X]:((~humble(X)|funny(X)))))&
(((~funny(paul)|creative(paul)))<=>((~curious(alice)&~strong(alice))))&
(![X]:((patient(X)&~tall(X))<=>(rich(X)|~patient(X))))&
(![X]:((quiet(X)|wise(X))=>(~quiet(X)... | creative(mary) | [
"p1",
"p2",
"p4",
"p5",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4501024627465215649982342
% SZS output start Proof for 4501024627465215649982342
2. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> quiet(X0)) [input p1]
3. (rich(john) & happy(john)) <=> ? [X0] : (funny(X0) | ~humble(X0)) [input p2]
5. ! [X0] : ((~tall(X0) & patient(X0)) <=> (~patient(X0) | rich(... | 0 |
If fred is both strong and rich then someone is brave or not kind and vice versa. If john is generous or not funny then someone is either old or rich and vice versa. Everyone who is not funny or curious is tall. If someone is funny then someone is either curious or not generous. If john is both not brave and not happy ... | John is happy. | neutral | (((strong(fred)&rich(fred)))<=>(?[X]:((brave(X)|~kind(X)))))&
(((generous(john)|~funny(john)))<=>(?[X]:((old(X)<~>rich(X)))))&
(![X]:((~funny(X)|curious(X))=>tall(X)))&
((?[X]:(funny(X)))=>(?[X]:((curious(X)<~>~generous(X)))))&
(((~brave(john)&~happy(john)))=>(?[X]:((~tall(X)<~>curious(X)))))&
((?[X]:((~quiet(X)<~>curi... | happy(john) | [] | null | 0 |
If mary is not funny or not generous then susan is both curious and not humble. Everyone who is old or not wise is not brave and vice versa. If lucy is not brave or not old then fred is not calm and vice versa. Everyone who is patient or not happy is tall. Everyone who is patient or not happy is generous or not wise an... | Susan is not rich. | entailment | (((~funny(mary)|~generous(mary)))=>((curious(susan)&~humble(susan))))&
(![X]:((old(X)|~wise(X))<=>~brave(X)))&
(((~brave(lucy)|~old(lucy)))<=>(~calm(fred)))&
(![X]:((patient(X)|~happy(X))=>tall(X)))&
(![X]:((patient(X)|~happy(X))<=>(generous(X)|~wise(X))))&
(((curious(paul)|~curious(paul)))<=>(?[X]:((~patient(X)<~>stro... | ~rich(susan) | [
"p0",
"p9",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1671765470465242856377454
% SZS output start Proof for 1671765470465242856377454
1. (~generous(mary) | ~funny(mary)) => (~humble(susan) & curious(susan)) [input p0]
10. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (generous(X0) & funny(X0))) [input p9]
13. ! [X0] : ((~funny(X0) | curious(X0))... | 0 |
Everyone who is either not brave or strong is both not brave and not rich and vice versa.
If paul is not generous then lucy is either quiet or not calm and vice versa.
Everyone who is funny is either not calm or not rich and vice versa.
Everyone who is generous or patient is both not calm and not generous.
If someone i... | John is strong. | entailment | (![X]:((~brave(X)<~>strong(X))<=>(~brave(X)&~rich(X))))&
((~generous(paul))<=>((quiet(lucy)<~>~calm(lucy))))&
(![X]:(funny(X)<=>(~calm(X)<~>~rich(X))))&
(![X]:((generous(X)|patient(X))=>(~calm(X)&~generous(X))))&
((?[X]:((~calm(X)|~humble(X))))<=>(?[X]:(tall(X))))&
(![X]:((~tall(X)&~brave(X))=>(brave(X)|~rich(X))))&
((... | strong(john) | [
"p3",
"p6",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 673461907378344711980775
% SZS output start Proof for 673461907378344711980775
4. ! [X0] : ((patient(X0) | generous(X0)) => (~generous(X0) & ~calm(X0))) [input p3]
7. (~kind(john) & strong(john)) <=> ? [X0] : (~patient(X0) & ~funny(X0)) [input p6]
9. ! [X0] : (calm(X0) => ~funny(X0)) [inp... | 0 |
If someone is rich then someone is curious. Everyone who is either not old or old is either quiet or brave and vice versa. Everyone who is not generous or not brave is both creative and kind and vice versa. If someone is either not quiet or strong then someone is either not humble or tall. Everyone who is both generous... | Mary is not funny. | entailment | ((?[X]:(rich(X)))=>(?[X]:(curious(X))))&
(![X]:((~old(X)<~>old(X))<=>(quiet(X)<~>brave(X))))&
(![X]:((~generous(X)|~brave(X))<=>(creative(X)&kind(X))))&
((?[X]:((~quiet(X)<~>strong(X))))=>(?[X]:((~humble(X)<~>tall(X)))))&
(![X]:((generous(X)&~rich(X))=>(generous(X)|~happy(X))))&
(![X]:((~strong(X)<~>wise(X))<=>(generou... | ~funny(mary) | [
"p1",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8803972025183098583774829
% SZS output start Proof for 8803972025183098583774829
2. ! [X0] : ((~old(X0) <~> old(X0)) <=> (quiet(X0) <~> brave(X0))) [input p1]
7. ? [X0] : ~generous(X0) <=> (~brave(lucy) <~> quiet(lucy)) [input p6]
8. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> funny(X0)) [i... | 0 |
If lucy is both humble and old then fred is both patient and happy.
Everyone who is not funny is not brave.
Everyone who is both curious and creative is both strong and not quiet.
If lucy is both not calm and happy then susan is both not calm and patient.
If mary is both not kind and not quiet then alice is either not ... | Susan is not generous. | neutral | (((humble(lucy)&old(lucy)))=>((patient(fred)&happy(fred))))&
(![X]:(~funny(X)=>~brave(X)))&
(![X]:((curious(X)&creative(X))=>(strong(X)&~quiet(X))))&
(((~calm(lucy)&happy(lucy)))=>((~calm(susan)&patient(susan))))&
(((~kind(mary)&~quiet(mary)))=>((~tall(alice)<~>calm(alice))))&
(![X]:((quiet(X)&calm(X))=>(funny(X)&~tall... | ~generous(susan) | [] | null | 0 |
Everyone who is both curious and not creative is not humble or funny and vice versa. If someone is either not funny or not kind then someone is both curious and strong. Everyone who is either strong or patient is not calm or generous. If john is not funny or kind then mary is kind or not kind. Everyone who is either ca... | Lucy is quiet. | entailment | (![X]:((curious(X)&~creative(X))<=>(~humble(X)|funny(X))))&
((?[X]:((~funny(X)<~>~kind(X))))=>(?[X]:((curious(X)&strong(X)))))&
(![X]:((strong(X)<~>patient(X))=>(~calm(X)|generous(X))))&
(((~funny(john)|kind(john)))=>((kind(mary)|~kind(mary))))&
(![X]:((calm(X)<~>~wise(X))<=>(~creative(X)|~tall(X))))&
(((~tall(alice)&~... | quiet(lucy) | [
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 27492457446782310586787
% SZS output start Proof for 27492457446782310586787
8. ~wise(lucy) <=> ? [X0] : ~quiet(X0) [input p7]
10. ! [X0] : ((~funny(X0) | ~rich(X0)) => wise(X0)) [input p9]
17. ~funny(lucy) [input p16]
25. ~quiet(lucy) [input hypothesis]
37. ! [X0] : (wise(X0) | (funny(X0... | 0 |
Everyone who is not happy or strong is either generous or not rich.
Everyone who is both wise and creative is not creative or rich and vice versa.
Everyone who is either kind or not wise is not funny or not happy and vice versa.
Everyone who is not old is humble and vice versa.
If john is not strong then john is not ca... | Mary is not humble. | contradiction | (![X]:((~happy(X)|strong(X))=>(generous(X)<~>~rich(X))))&
(![X]:((wise(X)&creative(X))<=>(~creative(X)|rich(X))))&
(![X]:((kind(X)<~>~wise(X))<=>(~funny(X)|~happy(X))))&
(![X]:(~old(X)<=>humble(X)))&
((~strong(john))=>(~calm(john)))&
(![X]:((brave(X)|~funny(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:((~kind(X)<~>~creative(X... | ~humble(mary) | [
"p1",
"p2",
"p5",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3425126291921444876862678
% SZS output start Proof for 3425126291921444876862678
2. ! [X0] : ((creative(X0) & wise(X0)) <=> (rich(X0) | ~creative(X0))) [input p1]
3. ! [X0] : ((kind(X0) <~> ~wise(X0)) <=> (~happy(X0) | ~funny(X0))) [input p2]
6. ! [X0] : ((~funny(X0) | brave(X0)) <=> (~fu... | 0 |
If fred is both generous and tall then susan is patient or brave.
Everyone who is both old and not patient is either patient or creative and vice versa.
If someone is rich then fred is both kind and not generous.
If susan is both kind and quiet then someone is both not calm and generous.
If fred is either generous or t... | Lucy is not creative. | contradiction | (((generous(fred)&tall(fred)))=>((patient(susan)|brave(susan))))&
(![X]:((old(X)&~patient(X))<=>(patient(X)<~>creative(X))))&
((?[X]:(rich(X)))=>((kind(fred)&~generous(fred))))&
(((kind(susan)&quiet(susan)))=>(?[X]:((~calm(X)&generous(X)))))&
(((generous(fred)<~>tall(fred)))<=>(?[X]:((~curious(X)<~>generous(X)))))&
(![... | ~creative(lucy) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 26454950917908630497412
% SZS output start Proof for 26454950917908630497412
8. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (happy(X0) & ~curious(X0))) [input p7]
13. ! [X0] : ((~creative(X0) | ~funny(X0)) => curious(X0)) [input p12]
20. ~creative(lucy) [input hypothesis]
28. ! [X0] : (cur... | 0 |
If fred is curious or kind then lucy is strong and vice versa. If fred is not generous or not funny then john is either calm or not funny and vice versa. Everyone who is humble or tall is not tall or not curious. Everyone who is funny is not tall. Everyone who is not old or generous is both not wise and calm and vice v... | John is quiet. | contradiction | (((curious(fred)|kind(fred)))<=>(strong(lucy)))&
(((~generous(fred)|~funny(fred)))<=>((calm(john)<~>~funny(john))))&
(![X]:((humble(X)|tall(X))=>(~tall(X)|~curious(X))))&
(![X]:(funny(X)=>~tall(X)))&
(![X]:((~old(X)|generous(X))<=>(~wise(X)&calm(X))))&
((?[X]:(~rich(X)))=>(?[X]:(strong(X))))&
(((calm(mary)&~wise(mary))... | quiet(john) | [
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3687627472913660274333733
% SZS output start Proof for 3687627472913660274333733
12. ! [X0] : (patient(X0) => (~quiet(X0) & ~wise(X0))) [input p11]
13. ! [X0] : ((generous(X0) & ~happy(X0)) => (happy(X0) & funny(X0))) [input p12]
14. ! [X0] : (~happy(X0) <=> (patient(X0) & ~happy(X0))) [i... | 0 |
If alice is quiet then paul is either funny or not wise and vice versa.
If someone is both not happy and not funny then fred is both not rich and not humble and vice versa.
If someone is not quiet then john is rich and vice versa.
If someone is not humble then mary is either quiet or not funny and vice versa.
Everyone ... | Paul is quiet. | contradiction | ((quiet(alice))<=>((funny(paul)<~>~wise(paul))))&
((?[X]:((~happy(X)&~funny(X))))<=>((~rich(fred)&~humble(fred))))&
((?[X]:(~quiet(X)))<=>(rich(john)))&
((?[X]:(~humble(X)))<=>((quiet(mary)<~>~funny(mary))))&
(![X]:((tall(X)<~>~wise(X))=>(~rich(X)|rich(X))))&
(![X]:(~wise(X)=>happy(X)))&
(![X]:((~happy(X)<~>~kind(X))<=... | quiet(paul) | [
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1599443263753813941483954
% SZS output start Proof for 1599443263753813941483954
6. ! [X0] : (~wise(X0) => happy(X0)) [input p5]
7. ! [X0] : ((~happy(X0) <~> ~kind(X0)) <=> (wise(X0) <~> old(X0))) [input p6]
8. ? [X0] : (funny(X0) | ~creative(X0)) => (~curious(paul) <~> old(paul)) [input ... | 0 |
Everyone who is both quiet and not creative is strong.
If someone is old then someone is not generous or calm.
Everyone who is not humble or not funny is old or rich and vice versa.
Everyone who is generous or quiet is both quiet and creative.
If paul is either not humble or not rich then someone is creative and vice v... | Lucy is not humble. | entailment | (![X]:((quiet(X)&~creative(X))=>strong(X)))&
((?[X]:(old(X)))=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:((~humble(X)|~funny(X))<=>(old(X)|rich(X))))&
(![X]:((generous(X)|quiet(X))=>(quiet(X)&creative(X))))&
(((~humble(paul)<~>~rich(paul)))<=>(?[X]:(creative(X))))&
(((~creative(paul)|funny(paul)))=>(?[X]:(~quiet(X))))&
(... | ~humble(lucy) | [
"p3",
"p9",
"p10",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5780219269547826819786354
% SZS output start Proof for 5780219269547826819786354
4. ! [X0] : ((quiet(X0) | generous(X0)) => (creative(X0) & quiet(X0))) [input p3]
10. ! [X0] : ((~patient(X0) | ~tall(X0)) => rich(X0)) [input p9]
11. ! [X0] : ((funny(X0) <~> ~rich(X0)) <=> (generous(X0) & q... | 0 |
If someone is either patient or humble then paul is either not kind or happy.
If paul is either rich or not generous then susan is either happy or not patient and vice versa.
Everyone who is both rich and funny is either not humble or brave.
If mary is either happy or quiet then paul is both calm and not quiet and vice... | Lucy is strong. | contradiction | ((?[X]:((patient(X)<~>humble(X))))=>((~kind(paul)<~>happy(paul))))&
(((rich(paul)<~>~generous(paul)))<=>((happy(susan)<~>~patient(susan))))&
(![X]:((rich(X)&funny(X))=>(~humble(X)<~>brave(X))))&
(((happy(mary)<~>quiet(mary)))<=>((calm(paul)&~quiet(paul))))&
((~wise(lucy))<=>((kind(lucy)&generous(lucy))))&
(((happy(lucy... | strong(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4614126717350673236428751
% SZS output start Proof for 4614126717350673236428751
17. ~strong(lucy) & calm(lucy) [input p16]
24. strong(lucy) [input hypothesis]
119. ~strong(lucy) [cnf transformation 17]
128. strong(lucy) [cnf transformation 24]
275. $false [subsumption resolution 128,119]... | 0 |
Everyone who is either wise or not humble is kind and vice versa. Everyone who is either not strong or not generous is both humble and kind. Everyone who is patient or rich is not generous. Everyone who is either not calm or funny is tall or not rich. If someone is not happy or not patient then someone is old and vice ... | Alice is not kind. | contradiction | (![X]:((wise(X)<~>~humble(X))<=>kind(X)))&
(![X]:((~strong(X)<~>~generous(X))=>(humble(X)&kind(X))))&
(![X]:((patient(X)|rich(X))=>~generous(X)))&
(![X]:((~calm(X)<~>funny(X))=>(tall(X)|~rich(X))))&
((?[X]:((~happy(X)|~patient(X))))<=>(?[X]:(old(X))))&
(((happy(john)|calm(john)))<=>(?[X]:((~creative(X)<~>~strong(X)))))... | ~kind(alice) | [
"p0",
"p3",
"p6",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7604202065397026651102072
% SZS output start Proof for 7604202065397026651102072
1. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> kind(X0)) [input p0]
4. ! [X0] : ((~calm(X0) <~> funny(X0)) => (~rich(X0) | tall(X0))) [input p3]
7. ! [X0] : (patient(X0) => ~quiet(X0)) [input p6]
8. ? [X0] : (~c... | 0 |
If alice is brave then someone is kind or not strong and vice versa.
Everyone who is both not happy and funny is either brave or kind and vice versa.
Everyone who is not creative or not brave is either not old or not strong.
Everyone who is both not funny and not patient is wise or rich and vice versa.
Everyone who is ... | Fred is not rich. | entailment | ((brave(alice))<=>(?[X]:((kind(X)|~strong(X)))))&
(![X]:((~happy(X)&funny(X))<=>(brave(X)<~>kind(X))))&
(![X]:((~creative(X)|~brave(X))=>(~old(X)<~>~strong(X))))&
(![X]:((~funny(X)&~patient(X))<=>(wise(X)|rich(X))))&
(![X]:(~humble(X)=>(~tall(X)&generous(X))))&
(((~tall(john)<~>~creative(john)))=>(?[X]:((~curious(X)|~o... | ~rich(fred) | [
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6207846801453333161441359
% SZS output start Proof for 6207846801453333161441359
4. ! [X0] : ((~patient(X0) & ~funny(X0)) <=> (rich(X0) | wise(X0))) [input p3]
7. ! [X0] : ((rich(X0) & ~calm(X0)) <=> ~funny(X0)) [input p6]
11. ! [X0] : (~funny(X0) => (patient(X0) & ~happy(X0))) [input p10... | 0 |
Everyone who is both wise and not curious is either not humble or not creative and vice versa. Everyone who is not strong or not wise is curious or not funny and vice versa. If someone is either happy or creative then someone is rich or strong and vice versa. Everyone who is strong or patient is not humble. Everyone wh... | Susan is tall. | contradiction | (![X]:((wise(X)&~curious(X))<=>(~humble(X)<~>~creative(X))))&
(![X]:((~strong(X)|~wise(X))<=>(curious(X)|~funny(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:((rich(X)|strong(X)))))&
(![X]:((strong(X)|patient(X))=>~humble(X)))&
(![X]:((patient(X)|~old(X))=>(creative(X)|curious(X))))&
((?[X]:((funny(X)|strong(X))))=... | tall(susan) | [
"p0",
"p7",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5722138291820863221863346
% SZS output start Proof for 5722138291820863221863346
1. ! [X0] : ((~curious(X0) & wise(X0)) <=> (~humble(X0) <~> ~creative(X0))) [input p0]
8. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> (rich(X0) & ~generous(X0))) [input p7]
9. ! [X0] : ((~curious(X0) | ~kind(X0... | 0 |
Everyone who is either generous or not patient is patient.
Everyone who is old is either not brave or funny.
Everyone who is wise is wise or patient.
Everyone who is not funny or creative is not creative or not old.
Everyone who is funny or strong is strong and vice versa.
If alice is tall then mary is patient.
Everyon... | Susan is not happy. | neutral | (![X]:((generous(X)<~>~patient(X))=>patient(X)))&
(![X]:(old(X)=>(~brave(X)<~>funny(X))))&
(![X]:(wise(X)=>(wise(X)|patient(X))))&
(![X]:((~funny(X)|creative(X))=>(~creative(X)|~old(X))))&
(![X]:((funny(X)|strong(X))<=>strong(X)))&
((tall(alice))=>(patient(mary)))&
(![X]:((~humble(X)&~creative(X))=>humble(X)))&
(![X]:(... | ~happy(susan) | [] | null | 0 |
Everyone who is either wise or not kind is kind. Everyone who is not curious is brave and vice versa. If someone is old or strong then someone is patient or wise. If susan is both calm and not creative then paul is strong or not calm and vice versa. Everyone who is either not brave or funny is either not patient or old... | Paul is rich. | entailment | (![X]:((wise(X)<~>~kind(X))=>kind(X)))&
(![X]:(~curious(X)<=>brave(X)))&
((?[X]:((old(X)|strong(X))))=>(?[X]:((patient(X)|wise(X)))))&
(((calm(susan)&~creative(susan)))<=>((strong(paul)|~calm(paul))))&
(![X]:((~brave(X)<~>funny(X))<=>(~patient(X)<~>old(X))))&
(((patient(john)|~patient(john)))<=>((tall(mary)|generous(ma... | rich(paul) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7030143997343840008773450
% SZS output start Proof for 7030143997343840008773450
9. (quiet(alice) & ~humble(alice)) <=> ? [X0] : (~humble(X0) | ~rich(X0)) [input p8]
11. ! [X0] : ((~humble(X0) <~> creative(X0)) <=> creative(X0)) [input p10]
24. ~rich(paul) [input hypothesis]
48. ((quiet(a... | 0 |
Everyone who is not rich or not funny is either not creative or funny and vice versa.
Everyone who is both old and calm is either not strong or humble and vice versa.
If someone is either tall or not funny then alice is wise or not patient.
Everyone who is both not curious and humble is both not generous and brave and ... | Mary is quiet. | neutral | (![X]:((~rich(X)|~funny(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((old(X)&calm(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:((tall(X)<~>~funny(X))))=>((wise(alice)|~patient(alice))))&
(![X]:((~curious(X)&humble(X))<=>(~generous(X)&brave(X))))&
((?[X]:((~brave(X)<~>~tall(X))))=>((~kind(lucy)<~>~patient(lucy))))&
((?[X]:(cur... | quiet(mary) | [] | null | 0 |
Everyone who is either not calm or funny is both not humble and not old and vice versa.
Everyone who is either not generous or not kind is both not curious and tall and vice versa.
If paul is both not strong and not wise then mary is either not old or generous and vice versa.
Everyone who is either not old or strong is... | Mary is tall. | entailment | (![X]:((~calm(X)<~>funny(X))<=>(~humble(X)&~old(X))))&
(![X]:((~generous(X)<~>~kind(X))<=>(~curious(X)&tall(X))))&
(((~strong(paul)&~wise(paul)))<=>((~old(mary)<~>generous(mary))))&
(![X]:((~old(X)<~>strong(X))<=>(patient(X)<~>funny(X))))&
(![X]:((patient(X)|~old(X))=>(~strong(X)&~humble(X))))&
((?[X]:((~quiet(X)&humbl... | tall(mary) | [
"p0",
"p2",
"p4",
"p9",
"p10",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 114611260088270577497170
% SZS output start Proof for 114611260088270577497170
1. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> (~old(X0) & ~humble(X0))) [input p0]
3. (~wise(paul) & ~strong(paul)) <=> (~old(mary) <~> generous(mary)) [input p2]
5. ! [X0] : ((~old(X0) | patient(X0)) => (~humble(... | 0 |
If paul is either curious or not rich then susan is not calm and vice versa.
Everyone who is both not creative and not patient is either brave or not old.
Everyone who is both not wise and not humble is happy or not happy and vice versa.
Everyone who is both curious and not calm is not rich and vice versa.
If john is n... | Alice is strong. | neutral | (((curious(paul)<~>~rich(paul)))<=>(~calm(susan)))&
(![X]:((~creative(X)&~patient(X))=>(brave(X)<~>~old(X))))&
(![X]:((~wise(X)&~humble(X))<=>(happy(X)|~happy(X))))&
(![X]:((curious(X)&~calm(X))<=>~rich(X)))&
(((~calm(john)|quiet(john)))<=>(~tall(lucy)))&
((?[X]:((creative(X)<~>calm(X))))=>(?[X]:(~creative(X))))&
((?[X... | strong(alice) | [] | null | 0 |
Everyone who is both tall and creative is either generous or not strong and vice versa. If someone is either not tall or rich then someone is tall. Everyone who is not happy or not humble is both quiet and not generous. Everyone who is either not creative or quiet is both happy and humble. If someone is either curious ... | John is creative. | contradiction | (![X]:((tall(X)&creative(X))<=>(generous(X)<~>~strong(X))))&
((?[X]:((~tall(X)<~>rich(X))))=>(?[X]:(tall(X))))&
(![X]:((~happy(X)|~humble(X))=>(quiet(X)&~generous(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(happy(X)&humble(X))))&
((?[X]:((curious(X)<~>humble(X))))<=>(?[X]:((old(X)|creative(X)))))&
(((tall(susan)<~>~brave... | creative(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7629347114281681231991400
% SZS output start Proof for 7629347114281681231991400
17. ~creative(john) [input p16]
24. creative(john) [input hypothesis]
153. ~creative(john) [cnf transformation 17]
163. creative(john) [cnf transformation 24]
392. $false [subsumption resolution 163,153]
% SZ... | 0 |
If susan is either not kind or not strong then someone is funny. Everyone who is not tall or not curious is not curious and vice versa. Everyone who is either not rich or rich is not rich or not tall. If alice is calm or creative then someone is either not strong or wise and vice versa. Everyone who is either funny or ... | John is not strong. | neutral | (((~kind(susan)<~>~strong(susan)))=>(?[X]:(funny(X))))&
(![X]:((~tall(X)|~curious(X))<=>~curious(X)))&
(![X]:((~rich(X)<~>rich(X))=>(~rich(X)|~tall(X))))&
(((calm(alice)|creative(alice)))<=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((funny(X)<~>~curious(X))<=>(~patient(X)|calm(X))))&
(![X]:((~brave(X)&~old(X))<=>(wise(X)... | ~strong(john) | [] | null | 0 |
Everyone who is either not funny or not humble is not old or not humble.
If susan is both curious and not strong then someone is humble.
Everyone who is both wise and happy is not rich or not quiet and vice versa.
If someone is old then someone is both not tall and humble.
If lucy is either old or not brave then someon... | John is not kind. | entailment | (![X]:((~funny(X)<~>~humble(X))=>(~old(X)|~humble(X))))&
(((curious(susan)&~strong(susan)))=>(?[X]:(humble(X))))&
(![X]:((wise(X)&happy(X))<=>(~rich(X)|~quiet(X))))&
((?[X]:(old(X)))=>(?[X]:((~tall(X)&humble(X)))))&
(((old(lucy)<~>~brave(lucy)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
(![X]:(humble(X)<=>funny(X)))&
((?[X]... | ~kind(john) | [
"p2",
"p5",
"p7",
"p9",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2457251077134664491161521
% SZS output start Proof for 2457251077134664491161521
3. ! [X0] : ((happy(X0) & wise(X0)) <=> (~quiet(X0) | ~rich(X0))) [input p2]
6. ! [X0] : (humble(X0) <=> funny(X0)) [input p5]
8. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (humble(X0) & ~wise(X0))) [input p7]
10.... | 0 |
Everyone who is old or funny is not old and vice versa. If someone is not humble or not generous then someone is both not humble and kind and vice versa. Everyone who is not quiet is both happy and humble. If someone is both not brave and not quiet then john is both not strong and kind and vice versa. If mary is not cr... | Lucy is curious. | entailment | (![X]:((old(X)|funny(X))<=>~old(X)))&
((?[X]:((~humble(X)|~generous(X))))<=>(?[X]:((~humble(X)&kind(X)))))&
(![X]:(~quiet(X)=>(happy(X)&humble(X))))&
((?[X]:((~brave(X)&~quiet(X))))<=>((~strong(john)&kind(john))))&
(((~creative(mary)|~quiet(mary)))<=>(?[X]:((~wise(X)&curious(X)))))&
(((~generous(lucy)<~>~calm(lucy)))=>... | curious(lucy) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8053122158444740473501246
% SZS output start Proof for 8053122158444740473501246
1. ! [X0] : ((funny(X0) | old(X0)) <=> ~old(X0)) [input p0]
7. ! [X0] : ((~old(X0) & ~curious(X0)) <=> (strong(X0) & creative(X0))) [input p6]
12. ! [X0] : ((rich(X0) | strong(X0)) <=> (old(X0) & funny(X0))) ... | 0 |
If mary is both not generous and tall then paul is both happy and not generous.
Everyone who is either not quiet or quiet is generous.
If someone is either tall or rich then someone is both rich and funny and vice versa.
If someone is not funny or humble then john is both not brave and not old.
If mary is either not fu... | John is not old. | contradiction | (((~generous(mary)&tall(mary)))=>((happy(paul)&~generous(paul))))&
(![X]:((~quiet(X)<~>quiet(X))=>generous(X)))&
((?[X]:((tall(X)<~>rich(X))))<=>(?[X]:((rich(X)&funny(X)))))&
((?[X]:((~funny(X)|humble(X))))=>((~brave(john)&~old(john))))&
(((~funny(mary)<~>~wise(mary)))<=>(~humble(mary)))&
(![X]:((tall(X)|humble(X))<=>(... | ~old(john) | [
"p1",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2835611881782027007768369
% SZS output start Proof for 2835611881782027007768369
2. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => generous(X0)) [input p1]
8. ? [X0] : ~generous(X0) <=> ? [X0] : (humble(X0) <~> ~old(X0)) [input p7]
18. ~humble(john) [input p17]
23. ~old(john) [input hypothesis]
... | 0 |
Everyone who is both generous and tall is happy or not funny and vice versa. If someone is either calm or kind then someone is not funny or patient. Everyone who is either curious or humble is happy and vice versa. Everyone who is not funny is both strong and not old and vice versa. If someone is either tall or happy t... | Fred is curious. | contradiction | (![X]:((generous(X)&tall(X))<=>(happy(X)|~funny(X))))&
((?[X]:((calm(X)<~>kind(X))))=>(?[X]:((~funny(X)|patient(X)))))&
(![X]:((curious(X)<~>humble(X))<=>happy(X)))&
(![X]:(~funny(X)<=>(strong(X)&~old(X))))&
((?[X]:((tall(X)<~>happy(X))))=>((~quiet(fred)|calm(fred))))&
(![X]:((~kind(X)<~>~wise(X))<=>(~wise(X)&~generous... | curious(fred) | [
"p0",
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1031346956492688114918493
% SZS output start Proof for 1031346956492688114918493
1. ! [X0] : ((tall(X0) & generous(X0)) <=> (~funny(X0) | happy(X0))) [input p0]
3. ! [X0] : ((curious(X0) <~> humble(X0)) <=> happy(X0)) [input p2]
10. ! [X0] : (tall(X0) <=> ~curious(X0)) [input p9]
13. ! [X... | 0 |
If fred is either kind or old then someone is old.
Everyone who is either calm or not wise is wise.
Everyone who is either not brave or not old is either tall or not tall.
If someone is not curious or not old then someone is both not rich and humble.
Everyone who is both not happy and rich is creative and vice versa.
E... | Fred is wise. | contradiction | (((kind(fred)<~>old(fred)))=>(?[X]:(old(X))))&
(![X]:((calm(X)<~>~wise(X))=>wise(X)))&
(![X]:((~brave(X)<~>~old(X))=>(tall(X)<~>~tall(X))))&
((?[X]:((~curious(X)|~old(X))))=>(?[X]:((~rich(X)&humble(X)))))&
(![X]:((~happy(X)&rich(X))<=>creative(X)))&
(![X]:((kind(X)|patient(X))<=>(tall(X)&old(X))))&
(![X]:((~generous(X)... | wise(fred) | [
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8644199957663781296374736
% SZS output start Proof for 8644199957663781296374736
6. ! [X0] : ((patient(X0) | kind(X0)) <=> (old(X0) & tall(X0))) [input p5]
12. ! [X0] : (kind(X0) <=> (happy(X0) | ~happy(X0))) [input p11]
16. ! [X0] : ((wise(X0) | ~curious(X0)) <=> (tall(X0) & ~old(X0))) [... | 0 |
If someone is not creative then someone is both not calm and not kind and vice versa.
If someone is not tall or not creative then susan is either not humble or brave.
If fred is both rich and humble then someone is quiet and vice versa.
If someone is not rich then susan is both not tall and strong.
Everyone who is not ... | Paul is tall. | contradiction | ((?[X]:(~creative(X)))<=>(?[X]:((~calm(X)&~kind(X)))))&
((?[X]:((~tall(X)|~creative(X))))=>((~humble(susan)<~>brave(susan))))&
(((rich(fred)&humble(fred)))<=>(?[X]:(quiet(X))))&
((?[X]:(~rich(X)))=>((~tall(susan)&strong(susan))))&
(![X]:((~old(X)|quiet(X))<=>wise(X)))&
((?[X]:((calm(X)|brave(X))))<=>(?[X]:((humble(X)<~... | tall(paul) | [
"p6",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2796510005008974301228954
% SZS output start Proof for 2796510005008974301228954
7. ! [X0] : ((calm(X0) | strong(X0)) => (rich(X0) & old(X0))) [input p6]
17. ~tall(paul) <~> ~rich(paul) [input p16]
20. calm(paul) & ~brave(paul) [input p19]
25. tall(paul) [input hypothesis]
31. ! [X0] : ((... | 0 |
Everyone who is not quiet or patient is either humble or funny.
If fred is old then alice is old.
Everyone who is both rich and strong is patient or brave and vice versa.
Everyone who is not kind or not strong is not creative and vice versa.
Everyone who is either rich or old is both strong and not generous.
Everyone w... | John is not funny. | entailment | (![X]:((~quiet(X)|patient(X))=>(humble(X)<~>funny(X))))&
((old(fred))=>(old(alice)))&
(![X]:((rich(X)&strong(X))<=>(patient(X)|brave(X))))&
(![X]:((~kind(X)|~strong(X))<=>~creative(X)))&
(![X]:((rich(X)<~>old(X))=>(strong(X)&~generous(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(~funny(X)&~brave(X))))&
(![X]:(~patient(X)<... | ~funny(john) | [
"p2",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5511839001754223781814062
% SZS output start Proof for 5511839001754223781814062
3. ! [X0] : ((strong(X0) & rich(X0)) <=> (brave(X0) | patient(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> ~creative(X0)) [input p3]
6. ! [X0] : ((~creative(X0) <~> kind(X0)) <=> (~brave(X0) & ... | 0 |
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