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 brave is either not strong or not humble and vice versa.
If susan is both not curious and calm then someone is both not patient and not rich and vice versa.
If someone is both creative and curious then someone is patient or not funny and vice versa.
If someone is humble or not quiet then someone is ... | Lucy is creative. | contradiction | (![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~quiet(X))))<=>(?[X]:((rich(X)&old(X)))))&
(((~funny(susan)<~>~generous(susan)))=>((~calm(fred)&~happy(fred))))&
... | creative(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8714320778434121119196974
% SZS output start Proof for 8714320778434121119196974
6. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p5]
25. creative(lucy) [input hypothesis]
30. ! [X0] : (~creative(X0) | (strong(X0) & ~creative(X0))) [ennf transformation 6]
93. ~creative(X... | 0 |
If lucy is either not strong or generous then someone is either patient or wise. Everyone who is not tall or strong is not curious or quiet. If john is not tall then someone is quiet and vice versa. If lucy is not wise then mary is either not rich or not generous. Everyone who is not kind or not rich is both happy and ... | Paul is generous. | contradiction | (((~strong(lucy)<~>generous(lucy)))=>(?[X]:((patient(X)<~>wise(X)))))&
(![X]:((~tall(X)|strong(X))=>(~curious(X)|quiet(X))))&
((~tall(john))<=>(?[X]:(quiet(X))))&
((~wise(lucy))=>((~rich(mary)<~>~generous(mary))))&
(![X]:((~kind(X)|~rich(X))<=>(happy(X)&~old(X))))&
(![X]:((happy(X)|~rich(X))<=>(happy(X)&~happy(X))))&
(... | generous(paul) | [
"p1",
"p4",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2137913108506473681814951
% SZS output start Proof for 2137913108506473681814951
2. ! [X0] : ((strong(X0) | ~tall(X0)) => (quiet(X0) | ~curious(X0))) [input p1]
5. ! [X0] : ((~rich(X0) | ~kind(X0)) <=> (~old(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~happy(X0)... | 0 |
If lucy is wise or curious then someone is both happy and not creative. Everyone who is either not old or happy is humble and vice versa. Everyone who is both not patient and not humble is strong or not quiet and vice versa. If someone is old or wise then someone is brave or not brave and vice versa. Everyone who is wi... | Mary is not strong. | entailment | (((wise(lucy)|curious(lucy)))=>(?[X]:((happy(X)&~creative(X)))))&
(![X]:((~old(X)<~>happy(X))<=>humble(X)))&
(![X]:((~patient(X)&~humble(X))<=>(strong(X)|~quiet(X))))&
((?[X]:((old(X)|wise(X))))<=>(?[X]:((brave(X)|~brave(X)))))&
(![X]:((wise(X)|tall(X))<=>(happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>wise(X))<=>(~stron... | ~strong(mary) | [
"p4",
"p5",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6000483762518093920871240
% SZS output start Proof for 6000483762518093920871240
5. ! [X0] : ((tall(X0) | wise(X0)) <=> (~brave(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (strong(X0) | ~strong(X0))) [input p5]
8. ! [X0] : ((brave(X0) | ~curious(X0)) => quiet... | 0 |
If someone is both not humble and happy then lucy is wise and vice versa.
If john is not funny or funny then john is wise.
Everyone who is both not tall and humble is both not funny and not rich.
If someone is either not patient or not happy then someone is tall and vice versa.
Everyone who is not patient or kind is no... | Paul is not quiet. | entailment | ((?[X]:((~humble(X)&happy(X))))<=>(wise(lucy)))&
(((~funny(john)|funny(john)))=>(wise(john)))&
(![X]:((~tall(X)&humble(X))=>(~funny(X)&~rich(X))))&
((?[X]:((~patient(X)<~>~happy(X))))<=>(?[X]:(tall(X))))&
(![X]:((~patient(X)|kind(X))<=>(~quiet(X)|happy(X))))&
(![X]:(~brave(X)<=>~funny(X)))&
(![X]:(strong(X)=>curious(X)... | ~quiet(paul) | [
"p2",
"p4",
"p6",
"p7",
"p9",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8873747021675470172371587
% SZS output start Proof for 8873747021675470172371587
3. ! [X0] : ((humble(X0) & ~tall(X0)) => (~rich(X0) & ~funny(X0))) [input p2]
5. ! [X0] : ((kind(X0) | ~patient(X0)) <=> (happy(X0) | ~quiet(X0))) [input p4]
7. ! [X0] : (strong(X0) => curious(X0)) [input p6]... | 0 |
If mary is not wise then someone is old or not tall and vice versa.
Everyone who is brave or not generous is curious.
Everyone who is either quiet or not humble is both generous and wise and vice versa.
Everyone who is not wise or not generous is wise or curious.
Everyone who is tall or quiet is not kind.
Everyone who ... | Fred is not old. | entailment | ((~wise(mary))<=>(?[X]:((old(X)|~tall(X)))))&
(![X]:((brave(X)|~generous(X))=>curious(X)))&
(![X]:((quiet(X)<~>~humble(X))<=>(generous(X)&wise(X))))&
(![X]:((~wise(X)|~generous(X))=>(wise(X)|curious(X))))&
(![X]:((tall(X)|quiet(X))=>~kind(X)))&
(![X]:((funny(X)&~humble(X))<=>(~curious(X)|curious(X))))&
((?[X]:(tall(X))... | ~old(fred) | [
"p1",
"p4",
"p5",
"p9",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4265573497489761963411978
% SZS output start Proof for 4265573497489761963411978
2. ! [X0] : ((~generous(X0) | brave(X0)) => curious(X0)) [input p1]
5. ! [X0] : ((quiet(X0) | tall(X0)) => ~kind(X0)) [input p4]
6. ! [X0] : ((~humble(X0) & funny(X0)) <=> (curious(X0) | ~curious(X0))) [input... | 0 |
Everyone who is either not brave or brave is not strong or not kind. Everyone who is both funny and not wise is either curious or not calm. Everyone who is not tall is not kind or not strong and vice versa. Everyone who is not wise is both not curious and not rich and vice versa. Everyone who is not strong or wise is b... | Paul is not patient. | contradiction | (![X]:((~brave(X)<~>brave(X))=>(~strong(X)|~kind(X))))&
(![X]:((funny(X)&~wise(X))=>(curious(X)<~>~calm(X))))&
(![X]:(~tall(X)<=>(~kind(X)|~strong(X))))&
(![X]:(~wise(X)<=>(~curious(X)&~rich(X))))&
(![X]:((~strong(X)|wise(X))<=>(~generous(X)&tall(X))))&
(((~curious(mary)|~funny(mary)))<=>(?[X]:((generous(X)<~>~funny(X)... | ~patient(paul) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2144667767707532490588273
% SZS output start Proof for 2144667767707532490588273
2. ! [X0] : ((~wise(X0) & funny(X0)) => (curious(X0) <~> ~calm(X0))) [input p1]
4. ! [X0] : (~wise(X0) <=> (~rich(X0) & ~curious(X0))) [input p3]
5. ! [X0] : ((wise(X0) | ~strong(X0)) <=> (tall(X0) & ~generou... | 0 |
If someone is either not calm or not strong then someone is not rich and vice versa.
If someone is either not curious or creative then fred is tall or strong and vice versa.
Everyone who is not strong or strong is tall.
Everyone who is either patient or funny is not humble or not funny.
Everyone who is both not kind an... | Lucy is strong. | entailment | ((?[X]:((~calm(X)<~>~strong(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((~curious(X)<~>creative(X))))<=>((tall(fred)|strong(fred))))&
(![X]:((~strong(X)|strong(X))=>tall(X)))&
(![X]:((patient(X)<~>funny(X))=>(~humble(X)|~funny(X))))&
(![X]:((~kind(X)&happy(X))<=>(tall(X)&~calm(X))))&
((?[X]:((~patient(X)&~funny(X))))=>(~patien... | strong(lucy) | [
"p2",
"p4",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9026457462709482362100713
% SZS output start Proof for 9026457462709482362100713
3. ! [X0] : ((strong(X0) | ~strong(X0)) => tall(X0)) [input p2]
5. ! [X0] : ((happy(X0) & ~kind(X0)) <=> (~calm(X0) & tall(X0))) [input p4]
11. ! [X0] : ((humble(X0) | ~humble(X0)) <=> (~funny(X0) | ~calm(X0)... | 0 |
If someone is kind then susan is both strong and humble and vice versa.
Everyone who is both not brave and funny is not wise or wise and vice versa.
Everyone who is either rich or not patient is either not brave or not kind and vice versa.
If someone is both kind and funny then mary is both generous and not kind and vi... | Susan is not calm. | entailment | ((?[X]:(kind(X)))<=>((strong(susan)&humble(susan))))&
(![X]:((~brave(X)&funny(X))<=>(~wise(X)|wise(X))))&
(![X]:((rich(X)<~>~patient(X))<=>(~brave(X)<~>~kind(X))))&
((?[X]:((kind(X)&funny(X))))<=>((generous(mary)&~kind(mary))))&
(((tall(fred)&strong(fred)))<=>(?[X]:((curious(X)|~generous(X)))))&
((?[X]:((~humble(X)|~ge... | ~calm(susan) | [
"p0",
"p1",
"p2",
"p7",
"p10",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8382454781673457794548032
% SZS output start Proof for 8382454781673457794548032
1. ? [X0] : kind(X0) <=> (humble(susan) & strong(susan)) [input p0]
2. ! [X0] : ((funny(X0) & ~brave(X0)) <=> (wise(X0) | ~wise(X0))) [input p1]
3. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> (~brave(X0) <~> ~k... | 0 |
Everyone who is not rich is either not old or not curious and vice versa.
If someone is not brave then someone is not curious or happy and vice versa.
Everyone who is not patient is generous or not old and vice versa.
Everyone who is either tall or humble is rich and vice versa.
If someone is tall then someone is rich ... | Susan is rich. | contradiction | (![X]:(~rich(X)<=>(~old(X)<~>~curious(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((~curious(X)|happy(X)))))&
(![X]:(~patient(X)<=>(generous(X)|~old(X))))&
(![X]:((tall(X)<~>humble(X))<=>rich(X)))&
((?[X]:(tall(X)))<=>(?[X]:((rich(X)|generous(X)))))&
(![X]:((~funny(X)|quiet(X))=>(tall(X)<~>kind(X))))&
((?[X]:((~generous(X)&~fun... | rich(susan) | [
"p0",
"p2",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8773174126672653247666084
% SZS output start Proof for 8773174126672653247666084
1. ! [X0] : (~rich(X0) <=> (~old(X0) <~> ~curious(X0))) [input p0]
3. ! [X0] : (~patient(X0) <=> (~old(X0) | generous(X0))) [input p2]
10. ! [X0] : ((old(X0) & generous(X0)) <=> (~curious(X0) <~> patient(X0))... | 0 |
Everyone who is either funny or happy is patient or not patient. Everyone who is not kind is both not brave and old. If alice is kind or not wise then someone is not creative or not generous. Everyone who is funny or curious is not curious or funny. Everyone who is calm or creative is not generous. Everyone who is eith... | Paul is strong. | neutral | (![X]:((funny(X)<~>happy(X))=>(patient(X)|~patient(X))))&
(![X]:(~kind(X)=>(~brave(X)&old(X))))&
(((kind(alice)|~wise(alice)))=>(?[X]:((~creative(X)|~generous(X)))))&
(![X]:((funny(X)|curious(X))=>(~curious(X)|funny(X))))&
(![X]:((calm(X)|creative(X))=>~generous(X)))&
(![X]:((~brave(X)<~>~generous(X))=>(quiet(X)<~>~cre... | strong(paul) | [] | null | 0 |
If someone is either not generous or brave then susan is not old. Everyone who is either not funny or not curious is patient and vice versa. If paul is both humble and not calm then fred is either not funny or wise and vice versa. Everyone who is both not kind and rich is rich or not calm and vice versa. If someone is ... | Susan is not calm. | contradiction | ((?[X]:((~generous(X)<~>brave(X))))=>(~old(susan)))&
(![X]:((~funny(X)<~>~curious(X))<=>patient(X)))&
(((humble(paul)&~calm(paul)))<=>((~funny(fred)<~>wise(fred))))&
(![X]:((~kind(X)&rich(X))<=>(rich(X)|~calm(X))))&
((?[X]:((patient(X)<~>~curious(X))))<=>((kind(paul)<~>humble(paul))))&
(![X]:((strong(X)&~rich(X))<=>~ol... | ~calm(susan) | [
"p0",
"p3",
"p5",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6474368091290412698871516
% SZS output start Proof for 6474368091290412698871516
1. ? [X0] : (~generous(X0) <~> brave(X0)) => ~old(susan) [input p0]
4. ! [X0] : ((rich(X0) & ~kind(X0)) <=> (~calm(X0) | rich(X0))) [input p3]
6. ! [X0] : ((~rich(X0) & strong(X0)) <=> ~old(X0)) [input p5]
9.... | 0 |
Everyone who is both not strong and not creative is either not creative or creative and vice versa.
If fred is either not patient or creative then lucy is quiet or generous and vice versa.
If someone is both calm and brave then john is wise or not wise and vice versa.
Everyone who is tall or not generous is strong.
If ... | John is not patient. | neutral | (![X]:((~strong(X)&~creative(X))<=>(~creative(X)<~>creative(X))))&
(((~patient(fred)<~>creative(fred)))<=>((quiet(lucy)|generous(lucy))))&
((?[X]:((calm(X)&brave(X))))<=>((wise(john)|~wise(john))))&
(![X]:((tall(X)|~generous(X))=>strong(X)))&
((?[X]:(~funny(X)))<=>((creative(paul)&~brave(paul))))&
((?[X]:((~tall(X)|~cr... | ~patient(john) | [] | null | 0 |
Everyone who is either kind or not wise is both not happy and not kind.
If someone is tall or creative then someone is either not generous or tall.
Everyone who is curious or funny is both not strong and strong.
Everyone who is patient or kind is both rich and patient.
Everyone who is happy or creative is curious and v... | John is happy. | contradiction | (![X]:((kind(X)<~>~wise(X))=>(~happy(X)&~kind(X))))&
((?[X]:((tall(X)|creative(X))))=>(?[X]:((~generous(X)<~>tall(X)))))&
(![X]:((curious(X)|funny(X))=>(~strong(X)&strong(X))))&
(![X]:((patient(X)|kind(X))=>(rich(X)&patient(X))))&
(![X]:((happy(X)|creative(X))<=>curious(X)))&
((?[X]:((rich(X)&~patient(X))))=>((~tall(ma... | happy(john) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 268760843356744803642229
% SZS output start Proof for 268760843356744803642229
3. ! [X0] : ((funny(X0) | curious(X0)) => (strong(X0) & ~strong(X0))) [input p2]
5. ! [X0] : ((creative(X0) | happy(X0)) <=> curious(X0)) [input p4]
22. happy(john) [input hypothesis]
28. ! [X0] : ((strong(X0) ... | 0 |
If someone is not kind then someone is either calm or brave.
If fred is wise or not kind then someone is not generous and vice versa.
If susan is not old then mary is both rich and happy and vice versa.
If someone is not rich then lucy is not creative or not curious.
If someone is tall or not quiet then susan is humble... | Lucy is not quiet. | entailment | ((?[X]:(~kind(X)))=>(?[X]:((calm(X)<~>brave(X)))))&
(((wise(fred)|~kind(fred)))<=>(?[X]:(~generous(X))))&
((~old(susan))<=>((rich(mary)&happy(mary))))&
((?[X]:(~rich(X)))=>((~creative(lucy)|~curious(lucy))))&
((?[X]:((tall(X)|~quiet(X))))<=>((humble(susan)|creative(susan))))&
(![X]:(~brave(X)<=>rich(X)))&
(![X]:(curiou... | ~quiet(lucy) | [
"p10",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6422243407559986411937330
% SZS output start Proof for 6422243407559986411937330
11. ? [X0] : (~funny(X0) | quiet(X0)) => ? [X0] : (~kind(X0) & tall(X0)) [input p10]
15. ? [X0] : tall(X0) <=> (creative(john) & quiet(john)) [input p14]
20. ~quiet(john) & ~patient(john) [input p19]
25. quie... | 0 |
If someone is either calm or not curious then lucy is either creative or not tall.
Everyone who is either strong or brave is creative.
If someone is tall then fred is not quiet or not generous.
Everyone who is not kind is either not brave or not humble.
If paul is both not humble and not funny then lucy is not creative... | Paul is creative. | neutral | ((?[X]:((calm(X)<~>~curious(X))))=>((creative(lucy)<~>~tall(lucy))))&
(![X]:((strong(X)<~>brave(X))=>creative(X)))&
((?[X]:(tall(X)))=>((~quiet(fred)|~generous(fred))))&
(![X]:(~kind(X)=>(~brave(X)<~>~humble(X))))&
(((~humble(paul)&~funny(paul)))<=>(~creative(lucy)))&
(![X]:((humble(X)|~rich(X))<=>(~brave(X)<~>creative... | creative(paul) | [] | null | 0 |
Everyone who is either strong or calm is either happy or brave and vice versa.
If someone is either quiet or patient then paul is either not rich or strong and vice versa.
If mary is both not calm and quiet then john is strong.
If someone is curious then mary is both curious and not generous and vice versa.
Everyone wh... | Susan is not humble. | entailment | (![X]:((strong(X)<~>calm(X))<=>(happy(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>patient(X))))<=>((~rich(paul)<~>strong(paul))))&
(((~calm(mary)&quiet(mary)))=>(strong(john)))&
((?[X]:(curious(X)))<=>((curious(mary)&~generous(mary))))&
(![X]:((creative(X)<~>~patient(X))=>(quiet(X)|~old(X))))&
((~generous(susan))=>(?[X]:((cu... | ~humble(susan) | [
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2429307612206948076930820
% SZS output start Proof for 2429307612206948076930820
11. ! [X0] : (humble(X0) <=> (happy(X0) & ~curious(X0))) [input p10]
24. curious(susan) & rich(susan) [input p23]
25. humble(susan) [input hypothesis]
60. ! [X0] : ((humble(X0) | (~happy(X0) | curious(X0))) &... | 0 |
If john is not brave or rich then someone is not curious or not old and vice versa. Everyone who is not creative is both not brave and tall. If someone is both not curious and strong then someone is calm or not rich and vice versa. Everyone who is wise is either not quiet or brave and vice versa. Everyone who is both q... | John is not patient. | entailment | (((~brave(john)|rich(john)))<=>(?[X]:((~curious(X)|~old(X)))))&
(![X]:(~creative(X)=>(~brave(X)&tall(X))))&
((?[X]:((~curious(X)&strong(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:(wise(X)<=>(~quiet(X)<~>brave(X))))&
(![X]:((quiet(X)&generous(X))=>(~brave(X)&~humble(X))))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:((curious(X... | ~patient(john) | [
"p3",
"p19",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 262567763395358810629794
% SZS output start Proof for 262567763395358810629794
4. ! [X0] : (wise(X0) <=> (~quiet(X0) <~> brave(X0))) [input p3]
20. wise(john) <~> ~brave(john) [input p19]
21. ~patient(john) <~> ~quiet(john) [input p20]
23. ~brave(john) [input p22]
25. patient(john) [input... | 0 |
Everyone who is both not funny and not calm is both not happy and curious.
Everyone who is both brave and not brave is strong or not patient and vice versa.
If lucy is both humble and wise then lucy is both funny and tall and vice versa.
Everyone who is calm is quiet.
If someone is both not patient and kind then someon... | Alice is quiet. | entailment | (![X]:((~funny(X)&~calm(X))=>(~happy(X)&curious(X))))&
(![X]:((brave(X)&~brave(X))<=>(strong(X)|~patient(X))))&
(((humble(lucy)&wise(lucy)))<=>((funny(lucy)&tall(lucy))))&
(![X]:(calm(X)=>quiet(X)))&
((?[X]:((~patient(X)&kind(X))))=>(?[X]:((~generous(X)|~funny(X)))))&
((?[X]:(creative(X)))<=>(?[X]:(kind(X))))&
(![X]:(c... | quiet(alice) | [
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 370568045545094771362390
% SZS output start Proof for 370568045545094771362390
4. ! [X0] : (calm(X0) => quiet(X0)) [input p3]
23. calm(alice) [input p22]
25. ~quiet(alice) [input hypothesis]
32. ! [X0] : (quiet(X0) | ~calm(X0)) [ennf transformation 4]
93. ~calm(X0) | quiet(X0) [cnf transf... | 0 |
Everyone who is not kind is both rich and strong.
Everyone who is both not calm and calm is humble or creative and vice versa.
Everyone who is both not funny and not patient is not kind or not patient.
If lucy is both not happy and not patient then someone is quiet or not old and vice versa.
Everyone who is both not ol... | Fred is funny. | contradiction | (![X]:(~kind(X)=>(rich(X)&strong(X))))&
(![X]:((~calm(X)&calm(X))<=>(humble(X)|creative(X))))&
(![X]:((~funny(X)&~patient(X))=>(~kind(X)|~patient(X))))&
(((~happy(lucy)&~patient(lucy)))<=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:((~old(X)&brave(X))<=>(~funny(X)|happy(X))))&
(((creative(lucy)&~curious(lucy)))=>(?[X]:((~funny... | funny(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3593908508035113163309423
% SZS output start Proof for 3593908508035113163309423
7. ! [X0] : ((funny(X0) | ~patient(X0)) => ~funny(X0)) [input p6]
23. funny(fred) [input hypothesis]
29. ! [X0] : (~funny(X0) | (~funny(X0) & patient(X0))) [ennf transformation 7]
93. ~funny(X0) | ~funny(X0) ... | 0 |
Everyone who is rich or happy is tall or creative.
If someone is both not patient and kind then alice is both happy and not funny.
Everyone who is not curious is both old and calm and vice versa.
Everyone who is brave is not quiet and vice versa.
Everyone who is wise is either patient or rich.
If someone is funny then ... | Lucy is quiet. | neutral | (![X]:((rich(X)|happy(X))=>(tall(X)|creative(X))))&
((?[X]:((~patient(X)&kind(X))))=>((happy(alice)&~funny(alice))))&
(![X]:(~curious(X)<=>(old(X)&calm(X))))&
(![X]:(brave(X)<=>~quiet(X)))&
(![X]:(wise(X)=>(patient(X)<~>rich(X))))&
((?[X]:(funny(X)))=>((~tall(lucy)|curious(lucy))))&
(![X]:((old(X)<~>happy(X))<=>(~funny... | quiet(lucy) | [] | null | 0 |
Everyone who is both not calm and not old is both not rich and not kind.
If paul is both not rich and not strong then someone is not quiet.
Everyone who is both not patient and not humble is both kind and not old.
If fred is both not tall and not calm then someone is tall or humble and vice versa.
Everyone who is both ... | Alice is wise. | neutral | (![X]:((~calm(X)&~old(X))=>(~rich(X)&~kind(X))))&
(((~rich(paul)&~strong(paul)))=>(?[X]:(~quiet(X))))&
(![X]:((~patient(X)&~humble(X))=>(kind(X)&~old(X))))&
(((~tall(fred)&~calm(fred)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((~happy(X)&patient(X))=>~strong(X)))&
(![X]:((brave(X)&curious(X))<=>(~patient(X)<~>creative(X... | wise(alice) | [] | null | 0 |
Everyone who is old is either not happy or not kind and vice versa.
Everyone who is curious is both not strong and humble.
Everyone who is not brave is humble and vice versa.
Everyone who is both not kind and not happy is both not curious and not patient and vice versa.
Everyone who is not creative or rich is not old a... | Paul is quiet. | contradiction | (![X]:(old(X)<=>(~happy(X)<~>~kind(X))))&
(![X]:(curious(X)=>(~strong(X)&humble(X))))&
(![X]:(~brave(X)<=>humble(X)))&
(![X]:((~kind(X)&~happy(X))<=>(~curious(X)&~patient(X))))&
(![X]:((~creative(X)|rich(X))<=>~old(X)))&
(![X]:((~kind(X)|tall(X))<=>(calm(X)&~curious(X))))&
(![X]:(~rich(X)<=>(~happy(X)|rich(X))))&
(![X]... | quiet(paul) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5148347882907206628701990
% SZS output start Proof for 5148347882907206628701990
1. ! [X0] : (old(X0) <=> (~happy(X0) <~> ~kind(X0))) [input p0]
2. ! [X0] : (curious(X0) => (humble(X0) & ~strong(X0))) [input p1]
3. ! [X0] : (~brave(X0) <=> humble(X0)) [input p2]
4. ! [X0] : ((~happy(X0) &... | 0 |
If paul is not funny then lucy is not funny and vice versa.
If john is not calm then mary is not patient or curious.
Everyone who is either not kind or not happy is calm and vice versa.
Everyone who is old is not calm or not kind.
Everyone who is brave is either brave or happy and vice versa.
Everyone who is patient is... | Susan is rich. | entailment | ((~funny(paul))<=>(~funny(lucy)))&
((~calm(john))=>((~patient(mary)|curious(mary))))&
(![X]:((~kind(X)<~>~happy(X))<=>calm(X)))&
(![X]:(old(X)=>(~calm(X)|~kind(X))))&
(![X]:(brave(X)<=>(brave(X)<~>happy(X))))&
(![X]:(patient(X)=>(~patient(X)|~wise(X))))&
(![X]:(funny(X)=>(curious(X)<~>~patient(X))))&
(((~happy(lucy)|ki... | rich(susan) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3642668423004069835965067
% SZS output start Proof for 3642668423004069835965067
11. ! [X0] : (generous(X0) => (~calm(X0) & ~generous(X0))) [input p10]
12. ! [X0] : ((generous(X0) <~> ~rich(X0)) => (strong(X0) & rich(X0))) [input p11]
22. ~rich(susan) [input hypothesis]
31. ! [X0] : ((~ca... | 0 |
If someone is happy or kind then lucy is both rich and not tall and vice versa. Everyone who is either not tall or not humble is old or not happy and vice versa. Everyone who is quiet is either quiet or brave. If someone is both kind and quiet then someone is both curious and creative and vice versa. If susan is kind t... | Alice is kind. | entailment | ((?[X]:((happy(X)|kind(X))))<=>((rich(lucy)&~tall(lucy))))&
(![X]:((~tall(X)<~>~humble(X))<=>(old(X)|~happy(X))))&
(![X]:(quiet(X)=>(quiet(X)<~>brave(X))))&
((?[X]:((kind(X)&quiet(X))))<=>(?[X]:((curious(X)&creative(X)))))&
((kind(susan))<=>(?[X]:((patient(X)|rich(X)))))&
(![X]:(happy(X)<=>(~humble(X)&brave(X))))&
(![X... | kind(alice) | [
"p1",
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7181209094439866482719156
% SZS output start Proof for 7181209094439866482719156
2. ! [X0] : ((~tall(X0) <~> ~humble(X0)) <=> (~happy(X0) | old(X0))) [input p1]
6. ! [X0] : (happy(X0) <=> (brave(X0) & ~humble(X0))) [input p5]
7. ! [X0] : ((tall(X0) | ~strong(X0)) <=> (humble(X0) & strong(... | 0 |
Everyone who is either old or generous is either happy or kind and vice versa.
If someone is either not calm or quiet then someone is either not curious or old.
If someone is either humble or patient then someone is not humble or rich and vice versa.
If susan is either patient or not happy then fred is not kind.
Everyo... | Susan is not happy. | contradiction | (![X]:((old(X)<~>generous(X))<=>(happy(X)<~>kind(X))))&
((?[X]:((~calm(X)<~>quiet(X))))=>(?[X]:((~curious(X)<~>old(X)))))&
((?[X]:((humble(X)<~>patient(X))))<=>(?[X]:((~humble(X)|rich(X)))))&
(((patient(susan)<~>~happy(susan)))=>(~kind(fred)))&
(![X]:((~happy(X)|quiet(X))<=>(rich(X)<~>wise(X))))&
(((quiet(alice)<~>rich... | ~happy(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7008740758804855557609226
% SZS output start Proof for 7008740758804855557609226
19. happy(susan) [input p18]
25. ~happy(susan) [input hypothesis]
155. happy(susan) [cnf transformation 19]
165. ~happy(susan) [cnf transformation 25]
223. 13 <=> happy(susan) [avatar definition]
258. 13 [ava... | 0 |
Everyone who is both rich and not generous is wise or not creative. If someone is strong or generous then someone is not funny or not rich and vice versa. Everyone who is either humble or not humble is either kind or not brave and vice versa. Everyone who is wise or not strong is not old or happy and vice versa. Everyo... | John is not humble. | neutral | (![X]:((rich(X)&~generous(X))=>(wise(X)|~creative(X))))&
((?[X]:((strong(X)|generous(X))))<=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:((humble(X)<~>~humble(X))<=>(kind(X)<~>~brave(X))))&
(![X]:((wise(X)|~strong(X))<=>(~old(X)|happy(X))))&
(![X]:((~brave(X)&wise(X))=>(curious(X)&~strong(X))))&
(![X]:((~patient(X)&quiet(X))... | ~humble(john) | [] | null | 0 |
Everyone who is either happy or creative is either not rich or tall. Everyone who is not generous is humble. If someone is either brave or not creative then susan is both not wise and not happy. Everyone who is not patient is not creative or kind and vice versa. Everyone who is not funny or not creative is curious and ... | Susan is not generous. | contradiction | (![X]:((happy(X)<~>creative(X))=>(~rich(X)<~>tall(X))))&
(![X]:(~generous(X)=>humble(X)))&
((?[X]:((brave(X)<~>~creative(X))))=>((~wise(susan)&~happy(susan))))&
(![X]:(~patient(X)<=>(~creative(X)|kind(X))))&
(![X]:((~funny(X)|~creative(X))<=>curious(X)))&
(![X]:((~rich(X)|~happy(X))=>(creative(X)|~patient(X))))&
(![X]:... | ~generous(susan) | [
"p2",
"p4",
"p6",
"p7",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3644647943610672152905549
% SZS output start Proof for 3644647943610672152905549
3. ? [X0] : (brave(X0) <~> ~creative(X0)) => (~happy(susan) & ~wise(susan)) [input p2]
5. ! [X0] : ((~creative(X0) | ~funny(X0)) <=> curious(X0)) [input p4]
7. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~patie... | 0 |
If someone is funny then lucy is kind or not patient.
If someone is either not old or old then john is either not happy or strong and vice versa.
Everyone who is funny or not kind is both not old and generous and vice versa.
Everyone who is strong or curious is both patient and brave and vice versa.
If someone is not o... | John is patient. | contradiction | ((?[X]:(funny(X)))=>((kind(lucy)|~patient(lucy))))&
((?[X]:((~old(X)<~>old(X))))<=>((~happy(john)<~>strong(john))))&
(![X]:((funny(X)|~kind(X))<=>(~old(X)&generous(X))))&
(![X]:((strong(X)|curious(X))<=>(patient(X)&brave(X))))&
((?[X]:((~old(X)|~kind(X))))<=>(calm(alice)))&
((~tall(alice))<=>(~generous(lucy)))&
(![X]:(... | patient(john) | [
"p3",
"p6",
"p9",
"p10",
"p12",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4835074184462684349834066
% SZS output start Proof for 4835074184462684349834066
4. ! [X0] : ((curious(X0) | strong(X0)) <=> (brave(X0) & patient(X0))) [input p3]
7. ! [X0] : ((~patient(X0) | calm(X0)) <=> (strong(X0) <~> ~calm(X0))) [input p6]
10. (calm(john) | ~tall(john)) <=> (old(paul... | 0 |
If someone is both humble and old then someone is both not old and not tall.
Everyone who is either not generous or not kind is both not calm and not generous and vice versa.
If someone is both not kind and brave then lucy is either tall or wise.
Everyone who is either not calm or brave is both rich and not tall.
Every... | Mary is generous. | entailment | ((?[X]:((humble(X)&old(X))))=>(?[X]:((~old(X)&~tall(X)))))&
(![X]:((~generous(X)<~>~kind(X))<=>(~calm(X)&~generous(X))))&
((?[X]:((~kind(X)&brave(X))))=>((tall(lucy)<~>wise(lucy))))&
(![X]:((~calm(X)<~>brave(X))=>(rich(X)&~tall(X))))&
(![X]:((calm(X)<~>humble(X))<=>(brave(X)|~wise(X))))&
((?[X]:((~patient(X)<~>~humble(... | generous(mary) | [
"p1",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2554973116882594151137005
% SZS output start Proof for 2554973116882594151137005
2. ! [X0] : ((~generous(X0) <~> ~kind(X0)) <=> (~generous(X0) & ~calm(X0))) [input p1]
9. ! [X0] : ((kind(X0) & ~rich(X0)) <=> (calm(X0) | generous(X0))) [input p8]
10. ! [X0] : (curious(X0) <=> generous(X0))... | 0 |
Everyone who is brave is not funny or creative. Everyone who is happy or tall is either not funny or happy. If john is either not old or not patient then someone is quiet and vice versa. If someone is both not generous and happy then someone is not funny or creative and vice versa. Everyone who is not happy is either n... | John is not funny. | contradiction | (![X]:(brave(X)=>(~funny(X)|creative(X))))&
(![X]:((happy(X)|tall(X))=>(~funny(X)<~>happy(X))))&
(((~old(john)<~>~patient(john)))<=>(?[X]:(quiet(X))))&
((?[X]:((~generous(X)&happy(X))))<=>(?[X]:((~funny(X)|creative(X)))))&
(![X]:(~happy(X)<=>(~generous(X)<~>~old(X))))&
(((~brave(john)&~quiet(john)))=>(?[X]:((brave(X)&~... | ~funny(john) | [
"p1",
"p2",
"p4",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 389229815597642333513011
% SZS output start Proof for 389229815597642333513011
2. ! [X0] : ((tall(X0) | happy(X0)) => (~funny(X0) <~> happy(X0))) [input p1]
3. (~old(john) <~> ~patient(john)) <=> ? [X0] : quiet(X0) [input p2]
5. ! [X0] : (~happy(X0) <=> (~generous(X0) <~> ~old(X0))) [inpu... | 0 |
If fred is both not tall and not wise then lucy is both humble and patient and vice versa. Everyone who is either strong or not rich is both not quiet and happy and vice versa. If someone is either not patient or not tall then fred is humble or not tall and vice versa. Everyone who is both kind and curious is both not ... | Lucy is quiet. | neutral | (((~tall(fred)&~wise(fred)))<=>((humble(lucy)&patient(lucy))))&
(![X]:((strong(X)<~>~rich(X))<=>(~quiet(X)&happy(X))))&
((?[X]:((~patient(X)<~>~tall(X))))<=>((humble(fred)|~tall(fred))))&
(![X]:((kind(X)&curious(X))<=>(~wise(X)&~kind(X))))&
((?[X]:((~brave(X)&~humble(X))))=>(~humble(paul)))&
((generous(lucy))=>(?[X]:((... | quiet(lucy) | [] | null | 0 |
If fred is both not kind and creative then someone is either quiet or generous. If lucy is kind then someone is not humble or calm. Everyone who is both not calm and not kind is not patient or not rich and vice versa. Everyone who is quiet or not old is both brave and old. If susan is either not quiet or wise then some... | Susan is quiet. | neutral | (((~kind(fred)&creative(fred)))=>(?[X]:((quiet(X)<~>generous(X)))))&
((kind(lucy))=>(?[X]:((~humble(X)|calm(X)))))&
(![X]:((~calm(X)&~kind(X))<=>(~patient(X)|~rich(X))))&
(![X]:((quiet(X)|~old(X))=>(brave(X)&old(X))))&
(((~quiet(susan)<~>wise(susan)))<=>(?[X]:((tall(X)|~curious(X)))))&
(((funny(mary)|quiet(mary)))<=>(h... | quiet(susan) | [] | null | 0 |
Everyone who is either calm or not calm is either not curious or not calm. If someone is not old then susan is either strong or generous. Everyone who is brave or not curious is old and vice versa. Everyone who is either not quiet or not wise is both not wise and generous. If someone is not humble or not generous then ... | Mary is not rich. | contradiction | (![X]:((calm(X)<~>~calm(X))=>(~curious(X)<~>~calm(X))))&
((?[X]:(~old(X)))=>((strong(susan)<~>generous(susan))))&
(![X]:((brave(X)|~curious(X))<=>old(X)))&
(![X]:((~quiet(X)<~>~wise(X))=>(~wise(X)&generous(X))))&
((?[X]:((~humble(X)|~generous(X))))=>((~tall(mary)&~calm(mary))))&
(![X]:((~brave(X)|generous(X))=>happy(X)... | ~rich(mary) | [
"p0",
"p4",
"p5",
"p6",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 285908515189028455424605
% SZS output start Proof for 285908515189028455424605
1. ! [X0] : ((calm(X0) <~> ~calm(X0)) => (~curious(X0) <~> ~calm(X0))) [input p0]
5. ? [X0] : (~generous(X0) | ~humble(X0)) => (~calm(mary) & ~tall(mary)) [input p4]
6. ! [X0] : ((generous(X0) | ~brave(X0)) => ... | 0 |
If someone is both strong and creative then someone is both curious and patient and vice versa.
If someone is not strong then susan is both not generous and quiet and vice versa.
Everyone who is quiet is either not funny or not rich.
If someone is not strong or not curious then someone is either kind or not quiet and v... | Lucy is not old. | contradiction | ((?[X]:((strong(X)&creative(X))))<=>(?[X]:((curious(X)&patient(X)))))&
((?[X]:(~strong(X)))<=>((~generous(susan)&quiet(susan))))&
(![X]:(quiet(X)=>(~funny(X)<~>~rich(X))))&
((?[X]:((~strong(X)|~curious(X))))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:((calm(X)|quiet(X))<=>(~patient(X)&patient(X))))&
(((curious(lucy)<~>~s... | ~old(lucy) | [
"p0",
"p1",
"p4",
"p6",
"p11",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8393385874469348262788514
% SZS output start Proof for 8393385874469348262788514
1. ? [X0] : (creative(X0) & strong(X0)) <=> ? [X0] : (patient(X0) & curious(X0)) [input p0]
2. ? [X0] : ~strong(X0) <=> (quiet(susan) & ~generous(susan)) [input p1]
5. ! [X0] : ((quiet(X0) | calm(X0)) <=> (pa... | 0 |
Everyone who is not creative is not tall.
Everyone who is either wise or not rich is either not old or quiet and vice versa.
If susan is either not generous or wise then someone is both not strong and tall.
Everyone who is not patient is either not generous or strong.
Everyone who is tall is strong or not creative and ... | Susan is wise. | contradiction | (![X]:(~creative(X)=>~tall(X)))&
(![X]:((wise(X)<~>~rich(X))<=>(~old(X)<~>quiet(X))))&
(((~generous(susan)<~>wise(susan)))=>(?[X]:((~strong(X)&tall(X)))))&
(![X]:(~patient(X)=>(~generous(X)<~>strong(X))))&
(![X]:(tall(X)<=>(strong(X)|~creative(X))))&
(![X]:((~strong(X)|~creative(X))<=>(~creative(X)&~happy(X))))&
(![X]:... | wise(susan) | [
"p0",
"p2",
"p4",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8949775676153305080776900
% SZS output start Proof for 8949775676153305080776900
1. ! [X0] : (~creative(X0) => ~tall(X0)) [input p0]
3. (~generous(susan) <~> wise(susan)) => ? [X0] : (tall(X0) & ~strong(X0)) [input p2]
5. ! [X0] : (tall(X0) <=> (~creative(X0) | strong(X0))) [input p4]
6. ... | 0 |
Everyone who is either not calm or brave is either not patient or rich and vice versa.
Everyone who is not funny is wise and vice versa.
Everyone who is not curious is both not kind and not wise.
If someone is calm then john is tall.
Everyone who is either wise or not quiet is either not humble or not strong and vice v... | Lucy is curious. | entailment | (![X]:((~calm(X)<~>brave(X))<=>(~patient(X)<~>rich(X))))&
(![X]:(~funny(X)<=>wise(X)))&
(![X]:(~curious(X)=>(~kind(X)&~wise(X))))&
((?[X]:(calm(X)))=>(tall(john)))&
(![X]:((wise(X)<~>~quiet(X))<=>(~humble(X)<~>~strong(X))))&
((?[X]:((~calm(X)|curious(X))))<=>(curious(alice)))&
(![X]:((~calm(X)&~tall(X))<=>(curious(X)&o... | curious(lucy) | [
"p0",
"p1",
"p2",
"p4",
"p7",
"p9",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6226955789099860798674224
% SZS output start Proof for 6226955789099860798674224
1. ! [X0] : ((~calm(X0) <~> brave(X0)) <=> (~patient(X0) <~> rich(X0))) [input p0]
2. ! [X0] : (~funny(X0) <=> wise(X0)) [input p1]
3. ! [X0] : (~curious(X0) => (~wise(X0) & ~kind(X0))) [input p2]
5. ! [X0] :... | 0 |
Everyone who is both old and not patient is brave or generous and vice versa. Everyone who is either strong or quiet is both funny and not quiet. If someone is not generous or not humble then someone is not calm. If lucy is not generous then mary is both not happy and not brave and vice versa. Everyone who is kind or h... | Susan is patient. | neutral | (![X]:((old(X)&~patient(X))<=>(brave(X)|generous(X))))&
(![X]:((strong(X)<~>quiet(X))=>(funny(X)&~quiet(X))))&
((?[X]:((~generous(X)|~humble(X))))=>(?[X]:(~calm(X))))&
((~generous(lucy))<=>((~happy(mary)&~brave(mary))))&
(![X]:((kind(X)|humble(X))=>~creative(X)))&
(![X]:((~funny(X)|generous(X))<=>(~wise(X)<~>curious(X)... | patient(susan) | [] | null | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is brave.
If mary is funny then someone is either not curious or not wise.
Everyone who is both happy and not old is old.
If fred is either not rich or not calm then someone is either not quiet or rich and vice versa.
Everyone who is both... | John is creative. | entailment | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
((funny(mary))=>(?[X]:((~curious(X)<~>~wise(X)))))&
(![X]:((happy(X)&~old(X))=>old(X)))&
(((~rich(fred)<~>~calm(fred)))<=>(?[X]:((~quiet(X)<~>rich(X)))))&
(![X]:((~calm(X)&brave(X))=>(~tall(X)|~quiet(X))))&
(![X]:(~quiet(X)=>(~happy(X)&curious(X)... | creative(john) | [
"p6",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2578284887726202558448197
% SZS output start Proof for 2578284887726202558448197
7. ! [X0] : (~quiet(X0) => (curious(X0) & ~happy(X0))) [input p6]
15. ! [X0] : ((kind(X0) | ~creative(X0)) => (happy(X0) & ~curious(X0))) [input p14]
21. brave(john) & ~quiet(john) [input p20]
25. ~creative(j... | 0 |
If paul is not quiet or not patient then mary is both not calm and not curious and vice versa.
If someone is strong then paul is either not quiet or curious and vice versa.
Everyone who is not humble or patient is both kind and funny and vice versa.
Everyone who is not kind or funny is both not generous and not rich an... | John is wise. | neutral | (((~quiet(paul)|~patient(paul)))<=>((~calm(mary)&~curious(mary))))&
((?[X]:(strong(X)))<=>((~quiet(paul)<~>curious(paul))))&
(![X]:((~humble(X)|patient(X))<=>(kind(X)&funny(X))))&
(![X]:((~kind(X)|funny(X))<=>(~generous(X)&~rich(X))))&
(![X]:((happy(X)&~strong(X))<=>~generous(X)))&
((?[X]:((rich(X)&funny(X))))=>(?[X]:(... | wise(john) | [] | null | 0 |
Everyone who is either not funny or generous is either quiet or patient.
If lucy is both not rich and generous then lucy is both not quiet and old and vice versa.
If fred is not quiet or not strong then mary is not calm and vice versa.
If mary is either not curious or not quiet then someone is both not kind and curious... | Alice is not calm. | neutral | (![X]:((~funny(X)<~>generous(X))=>(quiet(X)<~>patient(X))))&
(((~rich(lucy)&generous(lucy)))<=>((~quiet(lucy)&old(lucy))))&
(((~quiet(fred)|~strong(fred)))<=>(~calm(mary)))&
(((~curious(mary)<~>~quiet(mary)))<=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((old(X)<~>brave(X))<=>~tall(X)))&
((?[X]:(old(X)))<=>((~happy(alice)&... | ~calm(alice) | [] | null | 0 |
If alice is not kind or not curious then someone is either not strong or not generous and vice versa. Everyone who is either not humble or not old is not happy. Everyone who is either quiet or creative is either not funny or not creative and vice versa. Everyone who is not quiet is both calm and not calm. If alice is e... | Paul is old. | entailment | (((~kind(alice)|~curious(alice)))<=>(?[X]:((~strong(X)<~>~generous(X)))))&
(![X]:((~humble(X)<~>~old(X))=>~happy(X)))&
(![X]:((quiet(X)<~>creative(X))<=>(~funny(X)<~>~creative(X))))&
(![X]:(~quiet(X)=>(calm(X)&~calm(X))))&
(((humble(alice)<~>kind(alice)))<=>(?[X]:((~quiet(X)<~>~kind(X)))))&
(((~creative(john)&brave(joh... | old(paul) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1914040017600363633760007
% SZS output start Proof for 1914040017600363633760007
2. ! [X0] : ((~humble(X0) <~> ~old(X0)) => ~happy(X0)) [input p1]
3. ! [X0] : ((quiet(X0) <~> creative(X0)) <=> (~funny(X0) <~> ~creative(X0))) [input p2]
4. ! [X0] : (~quiet(X0) => (~calm(X0) & calm(X0))) [i... | 0 |
Everyone who is not happy or not strong is not old or happy and vice versa.
If paul is both not happy and not strong then someone is brave or happy and vice versa.
If someone is either not happy or tall then paul is either tall or not happy.
If paul is not wise then paul is either not happy or patient.
Everyone who is ... | Susan is not patient. | entailment | (![X]:((~happy(X)|~strong(X))<=>(~old(X)|happy(X))))&
(((~happy(paul)&~strong(paul)))<=>(?[X]:((brave(X)|happy(X)))))&
((?[X]:((~happy(X)<~>tall(X))))=>((tall(paul)<~>~happy(paul))))&
((~wise(paul))=>((~happy(paul)<~>patient(paul))))&
(![X]:((happy(X)&patient(X))=>humble(X)))&
((?[X]:(generous(X)))=>((~wise(susan)<~>~c... | ~patient(susan) | [
"p6",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5815914554767971330872820
% SZS output start Proof for 5815914554767971330872820
7. ! [X0] : ((~wise(X0) | kind(X0)) => (humble(X0) <~> wise(X0))) [input p6]
15. ! [X0] : ((patient(X0) <~> ~wise(X0)) => ~generous(X0)) [input p14]
22. generous(susan) & ~humble(susan) [input p21]
25. patien... | 0 |
Everyone who is rich is both tall and not brave and vice versa.
Everyone who is either not curious or strong is either funny or patient.
If mary is both not funny and happy then alice is old or curious and vice versa.
Everyone who is either calm or not patient is either strong or happy and vice versa.
If fred is not st... | Fred is old. | neutral | (![X]:(rich(X)<=>(tall(X)&~brave(X))))&
(![X]:((~curious(X)<~>strong(X))=>(funny(X)<~>patient(X))))&
(((~funny(mary)&happy(mary)))<=>((old(alice)|curious(alice))))&
(![X]:((calm(X)<~>~patient(X))<=>(strong(X)<~>happy(X))))&
((~strong(fred))<=>((~patient(alice)&wise(alice))))&
(![X]:((strong(X)&~happy(X))=>(generous(X)&... | old(fred) | [] | null | 0 |
If paul is both not curious and quiet then someone is not tall.
Everyone who is either old or not kind is either not humble or not funny and vice versa.
If paul is both not rich and not old then john is both not generous and generous and vice versa.
Everyone who is either creative or not rich is either not quiet or str... | Paul is not happy. | contradiction | (((~curious(paul)&quiet(paul)))=>(?[X]:(~tall(X))))&
(![X]:((old(X)<~>~kind(X))<=>(~humble(X)<~>~funny(X))))&
(((~rich(paul)&~old(paul)))<=>((~generous(john)&generous(john))))&
(![X]:((creative(X)<~>~rich(X))=>(~quiet(X)<~>strong(X))))&
(![X]:((happy(X)|~old(X))<=>~rich(X)))&
(![X]:((old(X)<~>~generous(X))=>~rich(X)))&... | ~happy(paul) | [
"p2",
"p3",
"p4",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4355634709752722429347556
% SZS output start Proof for 4355634709752722429347556
3. (~old(paul) & ~rich(paul)) <=> (generous(john) & ~generous(john)) [input p2]
4. ! [X0] : ((creative(X0) <~> ~rich(X0)) => (~quiet(X0) <~> strong(X0))) [input p3]
5. ! [X0] : ((~old(X0) | happy(X0)) <=> ~ri... | 0 |
Everyone who is both not calm and not rich is not funny or not brave.
Everyone who is either not happy or kind is both not calm and not strong.
Everyone who is either not funny or not rich is not rich or calm.
If someone is either not brave or curious then someone is calm or not happy and vice versa.
If paul is quiet t... | Fred is calm. | contradiction | (![X]:((~calm(X)&~rich(X))=>(~funny(X)|~brave(X))))&
(![X]:((~happy(X)<~>kind(X))=>(~calm(X)&~strong(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(~rich(X)|calm(X))))&
((?[X]:((~brave(X)<~>curious(X))))<=>(?[X]:((calm(X)|~happy(X)))))&
((quiet(paul))<=>(?[X]:((quiet(X)|~old(X)))))&
((?[X]:((patient(X)<~>~generous(X))))=>((gen... | calm(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 845291410943766399811336
% SZS output start Proof for 845291410943766399811336
13. ! [X0] : (calm(X0) <=> (~calm(X0) & ~rich(X0))) [input p12]
24. calm(fred) [input hypothesis]
64. ! [X0] : ((calm(X0) | (calm(X0) | rich(X0))) & ((~calm(X0) & ~rich(X0)) | ~calm(X0))) [nnf transformation 13... | 0 |
If mary is funny then fred is not humble and vice versa.
Everyone who is both not calm and not strong is not brave or generous and vice versa.
Everyone who is not curious is both brave and not tall and vice versa.
Everyone who is either not calm or not creative is not strong or calm and vice versa.
Everyone who is eith... | Mary is not curious. | contradiction | ((funny(mary))<=>(~humble(fred)))&
(![X]:((~calm(X)&~strong(X))<=>(~brave(X)|generous(X))))&
(![X]:(~curious(X)<=>(brave(X)&~tall(X))))&
(![X]:((~calm(X)<~>~creative(X))<=>(~strong(X)|calm(X))))&
(![X]:((~strong(X)<~>kind(X))<=>(~tall(X)&~creative(X))))&
(((~curious(fred)<~>~funny(fred)))=>((~humble(fred)<~>humble(fred... | ~curious(mary) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8295001934222453542973906
% SZS output start Proof for 8295001934222453542973906
2. ! [X0] : ((~strong(X0) & ~calm(X0)) <=> (generous(X0) | ~brave(X0))) [input p1]
3. ! [X0] : (~curious(X0) <=> (~tall(X0) & brave(X0))) [input p2]
4. ! [X0] : ((~calm(X0) <~> ~creative(X0)) <=> (calm(X0) | ... | 0 |
Everyone who is both not curious and happy is happy and vice versa.
If fred is not quiet or not curious then someone is both not tall and rich.
If someone is not rich then someone is both brave and not quiet.
Everyone who is either not wise or not kind is old and vice versa.
If paul is either not rich or patient then s... | John is brave. | contradiction | (![X]:((~curious(X)&happy(X))<=>happy(X)))&
(((~quiet(fred)|~curious(fred)))=>(?[X]:((~tall(X)&rich(X)))))&
((?[X]:(~rich(X)))=>(?[X]:((brave(X)&~quiet(X)))))&
(![X]:((~wise(X)<~>~kind(X))<=>old(X)))&
(((~rich(paul)<~>patient(paul)))=>(?[X]:((~rich(X)|~humble(X)))))&
((~rich(susan))=>((strong(fred)<~>~creative(fred))))... | brave(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7907281987907714471112177
% SZS output start Proof for 7907281987907714471112177
21. ~brave(john) [input p20]
25. brave(john) [input hypothesis]
137. ~brave(john) [cnf transformation 21]
141. brave(john) [cnf transformation 25]
365. $false [subsumption resolution 141,137]
% SZS output end... | 0 |
Everyone who is happy or not wise is either generous or quiet and vice versa.
Everyone who is either calm or patient is not strong.
If alice is funny then john is funny and vice versa.
If someone is either not rich or old then someone is either strong or old and vice versa.
Everyone who is both generous and not funny i... | Alice is not brave. | entailment | (![X]:((happy(X)|~wise(X))<=>(generous(X)<~>quiet(X))))&
(![X]:((calm(X)<~>patient(X))=>~strong(X)))&
((funny(alice))<=>(funny(john)))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((strong(X)<~>old(X)))))&
(![X]:((generous(X)&~funny(X))<=>(~strong(X)&happy(X))))&
((?[X]:((strong(X)|~curious(X))))<=>((~curious(lucy)|wise(lucy... | ~brave(alice) | [
"p7",
"p8",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1226133082399276520950189
% SZS output start Proof for 1226133082399276520950189
8. ! [X0] : ((~tall(X0) & ~curious(X0)) => ~calm(X0)) [input p7]
9. ~rich(paul) <=> (brave(alice) | ~humble(alice)) [input p8]
10. ! [X0] : ((funny(X0) & curious(X0)) <=> (~funny(X0) <~> ~generous(X0))) [inpu... | 0 |
If mary is both not happy and rich then someone is either not quiet or kind and vice versa.
Everyone who is calm or humble is not strong or patient.
Everyone who is either patient or not humble is not patient or not quiet.
Everyone who is either not curious or not brave is rich or not tall and vice versa.
If mary is bo... | Mary is not creative. | contradiction | (((~happy(mary)&rich(mary)))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(![X]:((calm(X)|humble(X))=>(~strong(X)|patient(X))))&
(![X]:((patient(X)<~>~humble(X))=>(~patient(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(rich(X)|~tall(X))))&
(((~creative(mary)&~humble(mary)))=>(?[X]:(rich(X))))&
(![X]:((kind(X)&quiet(X))<=>... | ~creative(mary) | [
"p2",
"p4",
"p5",
"p7",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8163608453076819770531435
% SZS output start Proof for 8163608453076819770531435
3. ! [X0] : ((patient(X0) <~> ~humble(X0)) => (~quiet(X0) | ~patient(X0))) [input p2]
5. (~humble(mary) & ~creative(mary)) => ? [X0] : rich(X0) [input p4]
6. ! [X0] : ((quiet(X0) & kind(X0)) <=> (rich(X0) | t... | 0 |
If fred is either not kind or rich then fred is both not curious and not generous and vice versa.
If someone is either not strong or not old then someone is both not generous and not rich.
Everyone who is not quiet or not brave is tall and vice versa.
Everyone who is both not tall and curious is either not patient or h... | Susan is creative. | entailment | (((~kind(fred)<~>rich(fred)))<=>((~curious(fred)&~generous(fred))))&
((?[X]:((~strong(X)<~>~old(X))))=>(?[X]:((~generous(X)&~rich(X)))))&
(![X]:((~quiet(X)|~brave(X))<=>tall(X)))&
(![X]:((~tall(X)&curious(X))<=>(~patient(X)<~>happy(X))))&
(![X]:((~rich(X)&~old(X))<=>old(X)))&
(![X]:((~patient(X)|~calm(X))<=>(~happy(X)<... | creative(susan) | [
"p4",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4325698614031620800489200
% SZS output start Proof for 4325698614031620800489200
5. ! [X0] : ((~old(X0) & ~rich(X0)) <=> old(X0)) [input p4]
9. ! [X0] : ((rich(X0) <~> happy(X0)) <=> (quiet(X0) | humble(X0))) [input p8]
11. ! [X0] : (~curious(X0) <=> (~strong(X0) | curious(X0))) [input p1... | 0 |
If someone is either not old or not humble then john is curious or not old and vice versa. Everyone who is both not wise and rich is old. If lucy is both not patient and funny then paul is either not rich or not calm. Everyone who is both not strong and creative is both not creative and patient and vice versa. Everyone... | Susan is tall. | entailment | ((?[X]:((~old(X)<~>~humble(X))))<=>((curious(john)|~old(john))))&
(![X]:((~wise(X)&rich(X))=>old(X)))&
(((~patient(lucy)&funny(lucy)))=>((~rich(paul)<~>~calm(paul))))&
(![X]:((~strong(X)&creative(X))<=>(~creative(X)&patient(X))))&
(![X]:((~kind(X)|~humble(X))=>(funny(X)&wise(X))))&
((?[X]:((creative(X)|~generous(X))))<... | tall(susan) | [
"p3",
"p6",
"p11",
"p13",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4813536862108910679146083
% SZS output start Proof for 4813536862108910679146083
4. ! [X0] : ((creative(X0) & ~strong(X0)) <=> (patient(X0) & ~creative(X0))) [input p3]
7. ! [X0] : ((humble(X0) & creative(X0)) => (tall(X0) | ~old(X0))) [input p6]
12. ! [X0] : ((quiet(X0) & ~humble(X0)) <=... | 0 |
If alice is not old then john is not tall or old and vice versa.
If susan is tall then susan is either happy or not old and vice versa.
Everyone who is either happy or not humble is not happy or quiet and vice versa.
If someone is both not rich and not humble then lucy is curious.
If john is not rich or calm then someo... | Fred is not strong. | neutral | ((~old(alice))<=>((~tall(john)|old(john))))&
((tall(susan))<=>((happy(susan)<~>~old(susan))))&
(![X]:((happy(X)<~>~humble(X))<=>(~happy(X)|quiet(X))))&
((?[X]:((~rich(X)&~humble(X))))=>(curious(lucy)))&
(((~rich(john)|calm(john)))=>(?[X]:(~quiet(X))))&
(![X]:((~happy(X)&~humble(X))=>(curious(X)|~generous(X))))&
(![X]:(... | ~strong(fred) | [] | null | 0 |
Everyone who is either calm or not rich is both kind and not quiet. If mary is curious or rich then susan is not wise and vice versa. If someone is not wise or not calm then alice is not wise. Everyone who is either not brave or not funny is creative. Everyone who is both not generous and funny is kind or not rich. Eve... | Mary is not strong. | neutral | (![X]:((calm(X)<~>~rich(X))=>(kind(X)&~quiet(X))))&
(((curious(mary)|rich(mary)))<=>(~wise(susan)))&
((?[X]:((~wise(X)|~calm(X))))=>(~wise(alice)))&
(![X]:((~brave(X)<~>~funny(X))=>creative(X)))&
(![X]:((~generous(X)&funny(X))=>(kind(X)|~rich(X))))&
(![X]:((~wise(X)|happy(X))<=>(kind(X)&~creative(X))))&
(![X]:((~strong... | ~strong(mary) | [] | null | 0 |
If someone is not old then someone is both not brave and strong.
Everyone who is both brave and not happy is either not strong or not tall.
Everyone who is happy is not calm.
Everyone who is both not wise and not strong is either not old or creative and vice versa.
Everyone who is not creative or wise is not strong and... | Mary is generous. | contradiction | ((?[X]:(~old(X)))=>(?[X]:((~brave(X)&strong(X)))))&
(![X]:((brave(X)&~happy(X))=>(~strong(X)<~>~tall(X))))&
(![X]:(happy(X)=>~calm(X)))&
(![X]:((~wise(X)&~strong(X))<=>(~old(X)<~>creative(X))))&
(![X]:((~creative(X)|wise(X))<=>~strong(X)))&
((?[X]:(~brave(X)))<=>((~generous(susan)&~patient(susan))))&
(![X]:((~rich(X)|g... | generous(mary) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 728180538626067271261544
% SZS output start Proof for 728180538626067271261544
7. ! [X0] : ((generous(X0) | ~rich(X0)) <=> (~calm(X0) & ~old(X0))) [input p6]
24. old(mary) & ~strong(mary) [input p23]
25. generous(mary) [input hypothesis]
54. ! [X0] : (((generous(X0) | ~rich(X0)) | (calm(X... | 0 |
If someone is humble or not happy then fred is not tall and vice versa.
If someone is either patient or not patient then alice is either not creative or not happy and vice versa.
If paul is either happy or old then someone is either rich or not quiet and vice versa.
If someone is happy then lucy is both not quiet and r... | Alice is happy. | neutral | ((?[X]:((humble(X)|~happy(X))))<=>(~tall(fred)))&
((?[X]:((patient(X)<~>~patient(X))))<=>((~creative(alice)<~>~happy(alice))))&
(((happy(paul)<~>old(paul)))<=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:(happy(X)))<=>((~quiet(lucy)&rich(lucy))))&
(((~humble(paul)&~generous(paul)))=>(?[X]:((~generous(X)&creative(X)))))&
((?... | happy(alice) | [] | null | 0 |
Everyone who is both not generous and not creative is either not tall or quiet.
Everyone who is humble is funny or curious and vice versa.
Everyone who is wise or not funny is quiet and vice versa.
If fred is both tall and brave then someone is rich or humble and vice versa.
If fred is either wise or brave then someone... | Fred is quiet. | entailment | (![X]:((~generous(X)&~creative(X))=>(~tall(X)<~>quiet(X))))&
(![X]:(humble(X)<=>(funny(X)|curious(X))))&
(![X]:((wise(X)|~funny(X))<=>quiet(X)))&
(((tall(fred)&brave(fred)))<=>(?[X]:((rich(X)|humble(X)))))&
(((wise(fred)<~>brave(fred)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
((generous(mary))<=>(?[X]:((old(X)&~quiet(X))))... | quiet(fred) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7091201156795705839879540
% SZS output start Proof for 7091201156795705839879540
2. ! [X0] : (humble(X0) <=> (curious(X0) | funny(X0))) [input p1]
3. ! [X0] : ((~funny(X0) | wise(X0)) <=> quiet(X0)) [input p2]
4. (brave(fred) & tall(fred)) <=> ? [X0] : (humble(X0) | rich(X0)) [input p3]
5... | 0 |
Everyone who is either humble or not tall is either not happy or humble.
Everyone who is not curious is happy.
If mary is strong or not curious then someone is either not old or old.
Everyone who is calm is both kind and old.
If someone is strong or not creative then someone is both not funny and brave and vice versa.
... | Susan is not wise. | entailment | (![X]:((humble(X)<~>~tall(X))=>(~happy(X)<~>humble(X))))&
(![X]:(~curious(X)=>happy(X)))&
(((strong(mary)|~curious(mary)))=>(?[X]:((~old(X)<~>old(X)))))&
(![X]:(calm(X)=>(kind(X)&old(X))))&
((?[X]:((strong(X)|~creative(X))))<=>(?[X]:((~funny(X)&brave(X)))))&
(((~creative(susan)&~wise(susan)))<=>((patient(lucy)|happy(lu... | ~wise(susan) | [
"p5",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8387201573297774411353226
% SZS output start Proof for 8387201573297774411353226
6. (~wise(susan) & ~creative(susan)) <=> (happy(lucy) | patient(lucy)) [input p5]
16. ! [X0] : ((wise(X0) <~> rich(X0)) <=> (rich(X0) | happy(X0))) [input p15]
24. wise(lucy) [input p23]
25. wise(susan) [inpu... | 0 |
Everyone who is either not creative or wise is not quiet and vice versa.
Everyone who is generous is both not happy and not generous and vice versa.
Everyone who is not kind or quiet is creative and vice versa.
If someone is either tall or kind then someone is not brave and vice versa.
Everyone who is tall is not curio... | John is rich. | neutral | (![X]:((~creative(X)<~>wise(X))<=>~quiet(X)))&
(![X]:(generous(X)<=>(~happy(X)&~generous(X))))&
(![X]:((~kind(X)|quiet(X))<=>creative(X)))&
((?[X]:((tall(X)<~>kind(X))))<=>(?[X]:(~brave(X))))&
(![X]:(tall(X)=>(~curious(X)|rich(X))))&
((?[X]:((~humble(X)&kind(X))))=>((~strong(mary)|old(mary))))&
(((~brave(john)|curious(... | rich(john) | [] | null | 0 |
Everyone who is both not kind and not tall is not funny.
If someone is not generous or not strong then someone is either creative or quiet and vice versa.
Everyone who is not old is not happy.
If someone is not patient or not strong then someone is both not generous and not creative.
Everyone who is both not brave and ... | Fred is kind. | neutral | (![X]:((~kind(X)&~tall(X))=>~funny(X)))&
((?[X]:((~generous(X)|~strong(X))))<=>(?[X]:((creative(X)<~>quiet(X)))))&
(![X]:(~old(X)=>~happy(X)))&
((?[X]:((~patient(X)|~strong(X))))=>(?[X]:((~generous(X)&~creative(X)))))&
(![X]:((~brave(X)&humble(X))=>tall(X)))&
(![X]:(~funny(X)=>quiet(X)))&
((?[X]:((~old(X)|old(X))))<=>(... | kind(fred) | [] | null | 0 |
If alice is not curious or not creative then someone is either not brave or not strong. If susan is both humble and not humble then fred is both calm and old and vice versa. Everyone who is not old is both strong and brave. If mary is not brave then someone is either humble or not creative. Everyone who is either not b... | Susan is not generous. | neutral | (((~curious(alice)|~creative(alice)))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(((humble(susan)&~humble(susan)))<=>((calm(fred)&old(fred))))&
(![X]:(~old(X)=>(strong(X)&brave(X))))&
((~brave(mary))=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~brave(X)<~>creative(X))<=>(brave(X)<~>~kind(X))))&
(![X]:((~old(X)<~>calm(X))<... | ~generous(susan) | [] | null | 0 |
Everyone who is not wise is rich and vice versa. Everyone who is not kind is not creative and vice versa. If alice is either not kind or quiet then someone is not strong or not brave and vice versa. Everyone who is either humble or brave is not brave and vice versa. Everyone who is either not patient or not quiet is ei... | John is curious. | neutral | (![X]:(~wise(X)<=>rich(X)))&
(![X]:(~kind(X)<=>~creative(X)))&
(((~kind(alice)<~>quiet(alice)))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~... | curious(john) | [] | null | 0 |
If paul is happy or not wise then someone is curious or not old.
If someone is both not brave and not curious then alice is both kind and tall.
If lucy is either rich or not happy then someone is kind or tall and vice versa.
Everyone who is both rich and brave is strong.
Everyone who is funny or quiet is either not cur... | Mary is wise. | contradiction | (((happy(paul)|~wise(paul)))=>(?[X]:((curious(X)|~old(X)))))&
((?[X]:((~brave(X)&~curious(X))))=>((kind(alice)&tall(alice))))&
(((rich(lucy)<~>~happy(lucy)))<=>(?[X]:((kind(X)|tall(X)))))&
(![X]:((rich(X)&brave(X))=>strong(X)))&
(![X]:((funny(X)|quiet(X))<=>(~curious(X)<~>calm(X))))&
((?[X]:((brave(X)|quiet(X))))<=>((~... | wise(mary) | [
"p4",
"p10",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1632036193289218794944122
% SZS output start Proof for 1632036193289218794944122
5. ! [X0] : ((quiet(X0) | funny(X0)) <=> (~curious(X0) <~> calm(X0))) [input p4]
11. ! [X0] : ((old(X0) | ~calm(X0)) <=> curious(X0)) [input p10]
12. ! [X0] : (~old(X0) => (~patient(X0) & funny(X0))) [input p... | 0 |
Everyone who is either wise or generous is quiet or strong and vice versa.
Everyone who is either not patient or old is both not kind and not old and vice versa.
If someone is both not humble and not tall then alice is kind.
Everyone who is both not rich and humble is not old.
Everyone who is not curious or not old is ... | John is happy. | neutral | (![X]:((wise(X)<~>generous(X))<=>(quiet(X)|strong(X))))&
(![X]:((~patient(X)<~>old(X))<=>(~kind(X)&~old(X))))&
((?[X]:((~humble(X)&~tall(X))))=>(kind(alice)))&
(![X]:((~rich(X)&humble(X))=>~old(X)))&
(![X]:((~curious(X)|~old(X))=>funny(X)))&
(![X]:((~happy(X)|~tall(X))<=>(~happy(X)|patient(X))))&
(![X]:((~kind(X)|~curi... | happy(john) | [] | null | 0 |
If someone is both not funny and kind then someone is old.
Everyone who is not tall or generous is brave and vice versa.
Everyone who is both not kind and brave is kind and vice versa.
If someone is curious then someone is not strong or strong and vice versa.
If paul is both kind and not tall then someone is either bra... | Lucy is brave. | contradiction | ((?[X]:((~funny(X)&kind(X))))=>(?[X]:(old(X))))&
(![X]:((~tall(X)|generous(X))<=>brave(X)))&
(![X]:((~kind(X)&brave(X))<=>kind(X)))&
((?[X]:(curious(X)))<=>(?[X]:((~strong(X)|strong(X)))))&
(((kind(paul)&~tall(paul)))=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((old(X)|~strong(X))=>~patient(X)))&
(((~brave(alice)&kind... | brave(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3256132539916105314197257
% SZS output start Proof for 3256132539916105314197257
3. ! [X0] : ((brave(X0) & ~kind(X0)) <=> kind(X0)) [input p2]
22. brave(lucy) [input hypothesis]
46. ! [X0] : (((brave(X0) & ~kind(X0)) | ~kind(X0)) & (kind(X0) | (~brave(X0) | kind(X0)))) [nnf transformation... | 0 |
If susan is funny or not quiet then someone is either not calm or quiet and vice versa. If someone is not old or curious then susan is either not quiet or not funny and vice versa. If susan is both wise and quiet then john is funny. Everyone who is kind or not kind is not tall. If john is old then lucy is not old and v... | Susan is not wise. | entailment | (((funny(susan)|~quiet(susan)))<=>(?[X]:((~calm(X)<~>quiet(X)))))&
((?[X]:((~old(X)|curious(X))))<=>((~quiet(susan)<~>~funny(susan))))&
(((wise(susan)&quiet(susan)))=>(funny(john)))&
(![X]:((kind(X)|~kind(X))=>~tall(X)))&
((old(john))<=>(~old(lucy)))&
(![X]:((~strong(X)<~>~tall(X))=>(~calm(X)&~tall(X))))&
(![X]:((tall(... | ~wise(susan) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3612766828705641868525072
% SZS output start Proof for 3612766828705641868525072
4. ! [X0] : ((~kind(X0) | kind(X0)) => ~tall(X0)) [input p3]
10. ! [X0] : ((~tall(X0) | generous(X0)) => (curious(X0) & ~wise(X0))) [input p9]
24. wise(susan) [input hypothesis]
29. ! [X0] : (~tall(X0) | (kin... | 0 |
Everyone who is not kind is not happy and vice versa.
Everyone who is old is either not brave or strong and vice versa.
If someone is either not strong or quiet then someone is either calm or rich and vice versa.
If someone is both patient and not happy then someone is humble.
If alice is both rich and not generous the... | Fred is not wise. | neutral | (![X]:(~kind(X)<=>~happy(X)))&
(![X]:(old(X)<=>(~brave(X)<~>strong(X))))&
((?[X]:((~strong(X)<~>quiet(X))))<=>(?[X]:((calm(X)<~>rich(X)))))&
((?[X]:((patient(X)&~happy(X))))=>(?[X]:(humble(X))))&
(((rich(alice)&~generous(alice)))=>(?[X]:(kind(X))))&
(![X]:(~creative(X)<=>(~creative(X)&brave(X))))&
(![X]:((creative(X)&~... | ~wise(fred) | [] | null | 0 |
If someone is both generous and kind then someone is both kind and not quiet. If someone is both not strong and curious then paul is wise and vice versa. Everyone who is not tall or not calm is generous or not curious and vice versa. Everyone who is either not curious or generous is either not happy or not funny. If lu... | Susan is not happy. | contradiction | ((?[X]:((generous(X)&kind(X))))=>(?[X]:((kind(X)&~quiet(X)))))&
((?[X]:((~strong(X)&curious(X))))<=>(wise(paul)))&
(![X]:((~tall(X)|~calm(X))<=>(generous(X)|~curious(X))))&
(![X]:((~curious(X)<~>generous(X))=>(~happy(X)<~>~funny(X))))&
((rich(lucy))=>(funny(alice)))&
(![X]:(generous(X)<=>(~strong(X)|rich(X))))&
((?[X]:... | ~happy(susan) | [
"p0",
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1665601932793626605302743
% SZS output start Proof for 1665601932793626605302743
1. ? [X0] : (kind(X0) & generous(X0)) => ? [X0] : (~quiet(X0) & kind(X0)) [input p0]
7. ? [X0] : (~funny(X0) | ~rich(X0)) => kind(mary) [input p6]
9. ! [X0] : ((~brave(X0) | ~generous(X0)) <=> happy(X0)) [inp... | 0 |
If paul is not patient then paul is either not old or not funny.
Everyone who is either wise or brave is old and vice versa.
If someone is both calm and old then susan is either not strong or curious and vice versa.
If john is both happy and not brave then paul is either not tall or not quiet and vice versa.
Everyone w... | Lucy is not wise. | contradiction | ((~patient(paul))=>((~old(paul)<~>~funny(paul))))&
(![X]:((wise(X)<~>brave(X))<=>old(X)))&
((?[X]:((calm(X)&old(X))))<=>((~strong(susan)<~>curious(susan))))&
(((happy(john)&~brave(john)))<=>((~tall(paul)<~>~quiet(paul))))&
(![X]:(~calm(X)=>(brave(X)&kind(X))))&
((?[X]:(~wise(X)))=>((kind(alice)&~kind(alice))))&
((?[X]:... | ~wise(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3631759810505544732510720
% SZS output start Proof for 3631759810505544732510720
6. ? [X0] : ~wise(X0) => (~kind(alice) & kind(alice)) [input p5]
24. ~wise(lucy) [input hypothesis]
30. (~kind(alice) & kind(alice)) | ! [X0] : wise(X0) [ennf transformation 6]
86. kind(alice) | wise(X0) [cnf... | 0 |
Everyone who is not brave or wise is both not strong and not funny and vice versa. Everyone who is not tall is both tall and not old. If someone is either not old or not curious then mary is not quiet or not strong. If john is both humble and not wise then paul is either kind or curious. Everyone who is not funny is ei... | Paul is happy. | contradiction | (![X]:((~brave(X)|wise(X))<=>(~strong(X)&~funny(X))))&
(![X]:(~tall(X)=>(tall(X)&~old(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>((~quiet(mary)|~strong(mary))))&
(((humble(john)&~wise(john)))=>((kind(paul)<~>curious(paul))))&
(![X]:(~funny(X)=>(happy(X)<~>~old(X))))&
(![X]:((~patient(X)<~>calm(X))=>(~creative(X)<~>~wise... | happy(paul) | [
"p0",
"p1",
"p4",
"p6",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1193443963617753709772795
% SZS output start Proof for 1193443963617753709772795
1. ! [X0] : ((wise(X0) | ~brave(X0)) <=> (~funny(X0) & ~strong(X0))) [input p0]
2. ! [X0] : (~tall(X0) => (~old(X0) & tall(X0))) [input p1]
5. ! [X0] : (~funny(X0) => (happy(X0) <~> ~old(X0))) [input p4]
7. ?... | 0 |
If lucy is creative or patient then alice is not wise or not funny.
Everyone who is either humble or not brave is both curious and humble and vice versa.
Everyone who is both not generous and brave is both wise and quiet.
Everyone who is either humble or not strong is either not rich or funny and vice versa.
Everyone w... | Fred is not strong. | neutral | (((creative(lucy)|patient(lucy)))=>((~wise(alice)|~funny(alice))))&
(![X]:((humble(X)<~>~brave(X))<=>(curious(X)&humble(X))))&
(![X]:((~generous(X)&brave(X))=>(wise(X)&quiet(X))))&
(![X]:((humble(X)<~>~strong(X))<=>(~rich(X)<~>funny(X))))&
(![X]:(creative(X)<=>(~kind(X)&patient(X))))&
(![X]:(~calm(X)=>(~old(X)|generous... | ~strong(fred) | [] | null | 0 |
If alice is tall or not brave then fred is both not humble and tall.
If paul is brave then paul is old or not patient.
If john is both humble and not wise then someone is either happy or not patient.
If someone is old then susan is strong or generous.
If fred is old or not kind then alice is both creative and tall.
If ... | Lucy is not strong. | entailment | (((tall(alice)|~brave(alice)))=>((~humble(fred)&tall(fred))))&
((brave(paul))=>((old(paul)|~patient(paul))))&
(((humble(john)&~wise(john)))=>(?[X]:((happy(X)<~>~patient(X)))))&
((?[X]:(old(X)))=>((strong(susan)|generous(susan))))&
(((old(fred)|~kind(fred)))=>((creative(alice)&tall(alice))))&
(((generous(mary)&happy(mar... | ~strong(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5346813240065213324432307
% SZS output start Proof for 5346813240065213324432307
17. ~strong(lucy) [input p16]
25. strong(lucy) [input hypothesis]
114. ~strong(lucy) [cnf transformation 17]
126. strong(lucy) [cnf transformation 25]
219. 21 <=> strong(lucy) [avatar definition]
297. ~21 [av... | 0 |
Everyone who is funny is both not old and funny and vice versa.
If someone is either not tall or not old then paul is funny and vice versa.
Everyone who is both tall and funny is not tall or not curious and vice versa.
If someone is both patient and funny then paul is either humble or not curious and vice versa.
If luc... | Alice is not funny. | entailment | (![X]:(funny(X)<=>(~old(X)&funny(X))))&
((?[X]:((~tall(X)<~>~old(X))))<=>(funny(paul)))&
(![X]:((tall(X)&funny(X))<=>(~tall(X)|~curious(X))))&
((?[X]:((patient(X)&funny(X))))<=>((humble(paul)<~>~curious(paul))))&
((~creative(lucy))<=>((~rich(mary)&tall(mary))))&
(![X]:((strong(X)&~kind(X))<=>(kind(X)|tall(X))))&
(![X]:... | ~funny(alice) | [
"p2",
"p5",
"p9",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8147129341818605341698059
% SZS output start Proof for 8147129341818605341698059
3. ! [X0] : ((funny(X0) & tall(X0)) <=> (~curious(X0) | ~tall(X0))) [input p2]
6. ! [X0] : ((~kind(X0) & strong(X0)) <=> (tall(X0) | kind(X0))) [input p5]
10. ! [X0] : ((calm(X0) <~> ~funny(X0)) => (~funny(X0... | 0 |
Everyone who is either not quiet or not generous is either not old or happy.
Everyone who is both not tall and quiet is funny and vice versa.
If someone is either not happy or not funny then someone is not wise.
If someone is curious then someone is funny and vice versa.
If someone is either not happy or not kind then ... | Mary is tall. | neutral | (![X]:((~quiet(X)<~>~generous(X))=>(~old(X)<~>happy(X))))&
(![X]:((~tall(X)&quiet(X))<=>funny(X)))&
((?[X]:((~happy(X)<~>~funny(X))))=>(?[X]:(~wise(X))))&
((?[X]:(curious(X)))<=>(?[X]:(funny(X))))&
((?[X]:((~happy(X)<~>~kind(X))))=>(?[X]:((rich(X)&kind(X)))))&
((?[X]:((curious(X)|~happy(X))))=>((~humble(mary)&wise(mary... | tall(mary) | [] | null | 0 |
Everyone who is either not quiet or curious is both not kind and not happy and vice versa.
If paul is humble then someone is not strong or not quiet.
If paul is not kind or not creative then susan is calm or not calm.
Everyone who is both curious and not funny is not kind and vice versa.
If someone is not strong then s... | Fred is not happy. | neutral | (![X]:((~quiet(X)<~>curious(X))<=>(~kind(X)&~happy(X))))&
((humble(paul))=>(?[X]:((~strong(X)|~quiet(X)))))&
(((~kind(paul)|~creative(paul)))=>((calm(susan)|~calm(susan))))&
(![X]:((curious(X)&~funny(X))<=>~kind(X)))&
((?[X]:(~strong(X)))<=>((~humble(susan)<~>~brave(susan))))&
((?[X]:((happy(X)<~>~strong(X))))<=>(?[X]:... | ~happy(fred) | [] | null | 0 |
Everyone who is either patient or not old is either not rich or not happy and vice versa.
Everyone who is either humble or not curious is either calm or not tall.
Everyone who is either not strong or old is either strong or brave and vice versa.
If paul is either not old or not patient then someone is calm.
Everyone wh... | Paul is not humble. | contradiction | (![X]:((patient(X)<~>~old(X))<=>(~rich(X)<~>~happy(X))))&
(![X]:((humble(X)<~>~curious(X))=>(calm(X)<~>~tall(X))))&
(![X]:((~strong(X)<~>old(X))<=>(strong(X)<~>brave(X))))&
(((~old(paul)<~>~patient(paul)))=>(?[X]:(calm(X))))&
(![X]:((creative(X)|~brave(X))=>curious(X)))&
(![X]:(humble(X)<=>(~strong(X)&curious(X))))&
(!... | ~humble(paul) | [
"p0",
"p4",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 186994506098849554270937
% SZS output start Proof for 186994506098849554270937
1. ! [X0] : ((patient(X0) <~> ~old(X0)) <=> (~rich(X0) <~> ~happy(X0))) [input p0]
5. ! [X0] : ((~brave(X0) | creative(X0)) => curious(X0)) [input p4]
10. ! [X0] : ((~brave(X0) | happy(X0)) <=> (~curious(X0) <~... | 0 |
Everyone who is both not funny and patient is not patient and vice versa.
Everyone who is either not funny or not brave is both not humble and strong.
Everyone who is both funny and not funny is tall or humble.
Everyone who is either brave or not brave is not brave or not funny.
If paul is either funny or not generous ... | Lucy is not strong. | contradiction | (![X]:((~funny(X)&patient(X))<=>~patient(X)))&
(![X]:((~funny(X)<~>~brave(X))=>(~humble(X)&strong(X))))&
(![X]:((funny(X)&~funny(X))=>(tall(X)|humble(X))))&
(![X]:((brave(X)<~>~brave(X))=>(~brave(X)|~funny(X))))&
(((funny(paul)<~>~generous(paul)))=>(?[X]:(~generous(X))))&
((?[X]:(~tall(X)))<=>((~strong(paul)<~>generous... | ~strong(lucy) | [
"p0",
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2106858174961388491639414
% SZS output start Proof for 2106858174961388491639414
1. ! [X0] : ((patient(X0) & ~funny(X0)) <=> ~patient(X0)) [input p0]
2. ! [X0] : ((~funny(X0) <~> ~brave(X0)) => (strong(X0) & ~humble(X0))) [input p1]
4. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~funny(X0) |... | 0 |
Everyone who is not tall is either not wise or not generous and vice versa.
Everyone who is either calm or brave is either not strong or creative and vice versa.
Everyone who is either not calm or strong is not generous.
If someone is both not calm and not brave then lucy is either not brave or quiet.
If alice is rich ... | Lucy is calm. | entailment | (![X]:(~tall(X)<=>(~wise(X)<~>~generous(X))))&
(![X]:((calm(X)<~>brave(X))<=>(~strong(X)<~>creative(X))))&
(![X]:((~calm(X)<~>strong(X))=>~generous(X)))&
((?[X]:((~calm(X)&~brave(X))))=>((~brave(lucy)<~>quiet(lucy))))&
(((rich(alice)|patient(alice)))<=>((brave(mary)&old(mary))))&
(![X]:((kind(X)&~humble(X))=>wise(X)))&... | calm(lucy) | [
"p3",
"p7",
"p9",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8911013867690532450704614
% SZS output start Proof for 8911013867690532450704614
4. ? [X0] : (~brave(X0) & ~calm(X0)) => (~brave(lucy) <~> quiet(lucy)) [input p3]
8. ! [X0] : ((~brave(X0) <~> ~strong(X0)) <=> (calm(X0) <~> strong(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) | wise(X0)) => (... | 0 |
If mary is humble or not humble then someone is funny or not humble.
If lucy is both not creative and not strong then someone is not rich or generous and vice versa.
Everyone who is either generous or not generous is both brave and not generous and vice versa.
Everyone who is not patient or not tall is either generous ... | Paul is kind. | neutral | (((humble(mary)|~humble(mary)))=>(?[X]:((funny(X)|~humble(X)))))&
(((~creative(lucy)&~strong(lucy)))<=>(?[X]:((~rich(X)|generous(X)))))&
(![X]:((generous(X)<~>~generous(X))<=>(brave(X)&~generous(X))))&
(![X]:((~patient(X)|~tall(X))<=>(generous(X)<~>~quiet(X))))&
((~patient(john))<=>(calm(lucy)))&
(![X]:((~calm(X)|patie... | kind(paul) | [] | null | 0 |
If someone is either kind or not creative then susan is both generous and not rich.
Everyone who is rich or strong is both not tall and funny.
Everyone who is not tall or happy is both not calm and curious and vice versa.
If someone is both not brave and old then john is both calm and rich.
Everyone who is curious is e... | Lucy is patient. | neutral | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((rich(X)|strong(X))=>(~tall(X)&funny(X))))&
(![X]:((~tall(X)|happy(X))<=>(~calm(X)&curious(X))))&
((?[X]:((~brave(X)&old(X))))=>((calm(john)&rich(john))))&
(![X]:(curious(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|k... | patient(lucy) | [] | null | 0 |
Everyone who is either not wise or not patient is not old and vice versa.
Everyone who is not quiet is both not patient and not curious.
Everyone who is not happy or not rich is curious and vice versa.
If someone is strong or not brave then alice is not funny or not humble.
Everyone who is both old and not old is not c... | Alice is quiet. | entailment | (![X]:((~wise(X)<~>~patient(X))<=>~old(X)))&
(![X]:(~quiet(X)=>(~patient(X)&~curious(X))))&
(![X]:((~happy(X)|~rich(X))<=>curious(X)))&
((?[X]:((strong(X)|~brave(X))))=>((~funny(alice)|~humble(alice))))&
(![X]:((old(X)&~old(X))<=>(~creative(X)|~wise(X))))&
((generous(alice))<=>((strong(paul)&old(paul))))&
(![X]:(~funny... | quiet(alice) | [
"p1",
"p2",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 245980759307489906021497
% SZS output start Proof for 245980759307489906021497
2. ! [X0] : (~quiet(X0) => (~curious(X0) & ~patient(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | ~happy(X0)) <=> curious(X0)) [input p2]
8. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> (~patient(X0) | strong(X0))) ... | 0 |
Everyone who is tall or kind is curious or tall.
Everyone who is kind or not rich is quiet or not funny.
Everyone who is either happy or not calm is either not wise or rich and vice versa.
If someone is strong or curious then someone is creative.
Everyone who is not patient or brave is either not patient or not funny a... | Lucy is not strong. | neutral | (![X]:((tall(X)|kind(X))=>(curious(X)|tall(X))))&
(![X]:((kind(X)|~rich(X))=>(quiet(X)|~funny(X))))&
(![X]:((happy(X)<~>~calm(X))<=>(~wise(X)<~>rich(X))))&
((?[X]:((strong(X)|curious(X))))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)|brave(X))<=>(~patient(X)<~>~funny(X))))&
(((old(lucy)<~>wise(lucy)))<=>(?[X]:((~old(X)|... | ~strong(lucy) | [] | null | 0 |
If someone is both humble and rich then someone is strong or humble.
Everyone who is either not generous or not curious is both not humble and brave.
If lucy is calm or not creative then lucy is either not quiet or old and vice versa.
Everyone who is both not kind and not humble is curious and vice versa.
Everyone who ... | Lucy is not quiet. | neutral | ((?[X]:((humble(X)&rich(X))))=>(?[X]:((strong(X)|humble(X)))))&
(![X]:((~generous(X)<~>~curious(X))=>(~humble(X)&brave(X))))&
(((calm(lucy)|~creative(lucy)))<=>((~quiet(lucy)<~>old(lucy))))&
(![X]:((~kind(X)&~humble(X))<=>curious(X)))&
(![X]:((rich(X)<~>~humble(X))=>(~wise(X)&~kind(X))))&
((?[X]:((old(X)<~>strong(X))))... | ~quiet(lucy) | [] | null | 0 |
Everyone who is both not rich and kind is not funny or old.
If someone is both patient and tall then someone is not quiet or not curious.
Everyone who is not kind or creative is either curious or not generous and vice versa.
Everyone who is not funny or generous is kind or patient and vice versa.
Everyone who is either... | Lucy is not tall. | entailment | (![X]:((~rich(X)&kind(X))=>(~funny(X)|old(X))))&
((?[X]:((patient(X)&tall(X))))=>(?[X]:((~quiet(X)|~curious(X)))))&
(![X]:((~kind(X)|creative(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((~funny(X)|generous(X))<=>(kind(X)|patient(X))))&
(![X]:((strong(X)<~>kind(X))<=>~curious(X)))&
((?[X]:(~wise(X)))<=>(~funny(john)))&
... | ~tall(lucy) | [
"p3",
"p9",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1168497784359183976238794
% SZS output start Proof for 1168497784359183976238794
4. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (patient(X0) | kind(X0))) [input p3]
10. ! [X0] : (quiet(X0) => (~tall(X0) & ~kind(X0))) [input p9]
11. ! [X0] : (quiet(X0) <=> (patient(X0) <~> kind(X0))) [input ... | 0 |
Everyone who is creative or funny is either not brave or not humble and vice versa.
If someone is both creative and happy then someone is either happy or not humble and vice versa.
Everyone who is curious or tall is brave.
Everyone who is creative or not funny is not creative and vice versa.
If someone is not funny or ... | Susan is not calm. | contradiction | (![X]:((creative(X)|funny(X))<=>(~brave(X)<~>~humble(X))))&
((?[X]:((creative(X)&happy(X))))<=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:((curious(X)|tall(X))=>brave(X)))&
(![X]:((creative(X)|~funny(X))<=>~creative(X)))&
((?[X]:((~funny(X)|~strong(X))))=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~generous(X)|~curious... | ~calm(susan) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5726277699443461334567864
% SZS output start Proof for 5726277699443461334567864
1. ! [X0] : ((funny(X0) | creative(X0)) <=> (~brave(X0) <~> ~humble(X0))) [input p0]
2. ? [X0] : (happy(X0) & creative(X0)) <=> ? [X0] : (happy(X0) <~> ~humble(X0)) [input p1]
3. ! [X0] : ((tall(X0) | curious... | 0 |
Everyone who is strong or not patient is not calm or not wise.
If someone is funny or strong then alice is both not humble and old and vice versa.
Everyone who is either not brave or rich is both not old and kind and vice versa.
Everyone who is either quiet or calm is not rich or brave.
Everyone who is both not patient... | Alice is not wise. | entailment | (![X]:((strong(X)|~patient(X))=>(~calm(X)|~wise(X))))&
((?[X]:((funny(X)|strong(X))))<=>((~humble(alice)&old(alice))))&
(![X]:((~brave(X)<~>rich(X))<=>(~old(X)&kind(X))))&
(![X]:((quiet(X)<~>calm(X))=>(~rich(X)|brave(X))))&
(![X]:((~patient(X)&~kind(X))<=>(~happy(X)|~tall(X))))&
((?[X]:((~wise(X)|rich(X))))<=>(?[X]:((s... | ~wise(alice) | [
"p7",
"p12",
"p14",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5176474231780662276474080
% SZS output start Proof for 5176474231780662276474080
8. ! [X0] : ((wise(X0) & old(X0)) <=> (~curious(X0) | humble(X0))) [input p7]
13. ! [X0] : (old(X0) => (generous(X0) & happy(X0))) [input p12]
15. ! [X0] : ((~generous(X0) <~> wise(X0)) => ~calm(X0)) [input p... | 0 |
If someone is curious then mary is either creative or not wise and vice versa.
Everyone who is funny is generous or not kind.
Everyone who is either not creative or not rich is both not curious and not brave.
If alice is both rich and not funny then someone is both not tall and not kind.
Everyone who is not funny is ei... | Mary is rich. | contradiction | ((?[X]:(curious(X)))<=>((creative(mary)<~>~wise(mary))))&
(![X]:(funny(X)=>(generous(X)|~kind(X))))&
(![X]:((~creative(X)<~>~rich(X))=>(~curious(X)&~brave(X))))&
(((rich(alice)&~funny(alice)))=>(?[X]:((~tall(X)&~kind(X)))))&
(![X]:(~funny(X)=>(~wise(X)<~>~calm(X))))&
((?[X]:(strong(X)))<=>((~calm(mary)<~>wise(mary))))&... | rich(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3392398965466302800417222
% SZS output start Proof for 3392398965466302800417222
13. ! [X0] : ((wise(X0) & rich(X0)) <=> ~wise(X0)) [input p12]
25. rich(mary) [input hypothesis]
64. ! [X0] : (((wise(X0) & rich(X0)) | wise(X0)) & (~wise(X0) | (~wise(X0) | ~rich(X0)))) [nnf transformation 1... | 0 |
Everyone who is not quiet is both not brave and not calm. If mary is not creative or not strong then alice is both not kind and not old and vice versa. If alice is quiet or happy then susan is either not generous or tall and vice versa. If someone is either not generous or not strong then paul is both kind and not kind... | Mary is not kind. | entailment | (![X]:(~quiet(X)=>(~brave(X)&~calm(X))))&
(((~creative(mary)|~strong(mary)))<=>((~kind(alice)&~old(alice))))&
(((quiet(alice)|happy(alice)))<=>((~generous(susan)<~>tall(susan))))&
((?[X]:((~generous(X)<~>~strong(X))))<=>((kind(paul)&~kind(paul))))&
(((~wise(susan)|~creative(susan)))<=>((~kind(mary)&patient(mary))))&
(!... | ~kind(mary) | [
"p0",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6648033067609275925294871
% SZS output start Proof for 6648033067609275925294871
1. ! [X0] : (~quiet(X0) => (~calm(X0) & ~brave(X0))) [input p0]
14. ~quiet(alice) <=> ? [X0] : (~creative(X0) | kind(X0)) [input p13]
18. brave(alice) [input p17]
25. kind(mary) [input hypothesis]
27. ! [X0] ... | 0 |
Everyone who is either not curious or brave is both not quiet and patient.
Everyone who is both patient and not humble is not creative.
Everyone who is either creative or calm is both old and not strong and vice versa.
If someone is brave then someone is both not old and curious.
Everyone who is both patient and funny ... | Mary is not brave. | entailment | (![X]:((~curious(X)<~>brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((patient(X)&~humble(X))=>~creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(old(X)&~strong(X))))&
((?[X]:(brave(X)))=>(?[X]:((~old(X)&curious(X)))))&
(![X]:((patient(X)&funny(X))<=>(quiet(X)&humble(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>wise(X)))&
((~gene... | ~brave(mary) | [
"p3",
"p7",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1454149517500836461208720
% SZS output start Proof for 1454149517500836461208720
4. ? [X0] : brave(X0) => ? [X0] : (curious(X0) & ~old(X0)) [input p3]
8. ! [X0] : (~brave(X0) => (happy(X0) & ~curious(X0))) [input p7]
10. ! [X0] : ((~humble(X0) & ~strong(X0)) <=> (quiet(X0) | strong(X0))) ... | 0 |
If someone is either not kind or calm then mary is not strong or not funny and vice versa. If lucy is either not humble or happy then someone is quiet. If mary is both not happy and quiet then susan is not rich or happy and vice versa. Everyone who is calm is patient or not creative. If alice is patient or strong then ... | Fred is not wise. | contradiction | ((?[X]:((~kind(X)<~>calm(X))))<=>((~strong(mary)|~funny(mary))))&
(((~humble(lucy)<~>happy(lucy)))=>(?[X]:(quiet(X))))&
(((~happy(mary)&quiet(mary)))<=>((~rich(susan)|happy(susan))))&
(![X]:(calm(X)=>(patient(X)|~creative(X))))&
(((patient(alice)|strong(alice)))<=>((kind(fred)&~rich(fred))))&
(((curious(fred)&calm(fred... | ~wise(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7793519072877346495155126
% SZS output start Proof for 7793519072877346495155126
17. wise(fred) [input p16]
25. ~wise(fred) [input hypothesis]
127. wise(fred) [cnf transformation 17]
139. ~wise(fred) [cnf transformation 25]
358. $false [subsumption resolution 139,127]
% SZS output end Pro... | 0 |
Everyone who is both not happy and not funny is not creative and vice versa. Everyone who is both not patient and humble is not patient or wise and vice versa. Everyone who is both not brave and tall is patient. If someone is generous then fred is either not quiet or generous. If lucy is wise or tall then someone is no... | John is tall. | contradiction | (![X]:((~happy(X)&~funny(X))<=>~creative(X)))&
(![X]:((~patient(X)&humble(X))<=>(~patient(X)|wise(X))))&
(![X]:((~brave(X)&tall(X))=>patient(X)))&
((?[X]:(generous(X)))=>((~quiet(fred)<~>generous(fred))))&
(((wise(lucy)|tall(lucy)))=>(?[X]:((~creative(X)|~brave(X)))))&
(((quiet(mary)|~old(mary)))=>(?[X]:(curious(X))))&... | tall(john) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 710849684488117045191373
% SZS output start Proof for 710849684488117045191373
8. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (~tall(X0) & wise(X0))) [input p7]
10. ! [X0] : ((funny(X0) | tall(X0)) => (~quiet(X0) & ~funny(X0))) [input p9]
23. tall(john) [input hypothesis]
31. ! [X0] : ((~qu... | 0 |
Everyone who is rich or quiet is either not curious or strong and vice versa.
Everyone who is either not humble or not happy is either kind or not tall.
Everyone who is not curious is not kind.
Everyone who is both brave and not calm is not strong and vice versa.
Everyone who is quiet or wise is both not creative and n... | Lucy is not rich. | contradiction | (![X]:((rich(X)|quiet(X))<=>(~curious(X)<~>strong(X))))&
(![X]:((~humble(X)<~>~happy(X))=>(kind(X)<~>~tall(X))))&
(![X]:(~curious(X)=>~kind(X)))&
(![X]:((brave(X)&~calm(X))<=>~strong(X)))&
(![X]:((quiet(X)|wise(X))<=>(~creative(X)&~patient(X))))&
(((tall(fred)&wise(fred)))<=>((~quiet(lucy)&~kind(lucy))))&
(![X]:((brave... | ~rich(lucy) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 115932642325778677266943
% SZS output start Proof for 115932642325778677266943
1. ! [X0] : ((quiet(X0) | rich(X0)) <=> (~curious(X0) <~> strong(X0))) [input p0]
3. ! [X0] : (~curious(X0) => ~kind(X0)) [input p2]
5. ! [X0] : ((wise(X0) | quiet(X0)) <=> (~patient(X0) & ~creative(X0))) [inpu... | 0 |
Everyone who is either humble or old is either wise or strong.
Everyone who is not kind is both generous and not old and vice versa.
Everyone who is both not calm and old is brave or not kind and vice versa.
If john is both wise and curious then someone is both kind and funny and vice versa.
Everyone who is generous or... | Mary is generous. | neutral | (![X]:((humble(X)<~>old(X))=>(wise(X)<~>strong(X))))&
(![X]:(~kind(X)<=>(generous(X)&~old(X))))&
(![X]:((~calm(X)&old(X))<=>(brave(X)|~kind(X))))&
(((wise(john)&curious(john)))<=>(?[X]:((kind(X)&funny(X)))))&
(![X]:((generous(X)|~curious(X))<=>happy(X)))&
(![X]:(~old(X)<=>(~tall(X)|patient(X))))&
((generous(mary))<=>((... | generous(mary) | [] | null | 0 |
Everyone who is both wise and not wise is both generous and not calm and vice versa.
If someone is not tall then someone is either calm or not generous and vice versa.
Everyone who is either not creative or rich is brave and vice versa.
Everyone who is both funny and curious is both not rich and funny.
Everyone who is ... | Fred is rich. | neutral | (![X]:((wise(X)&~wise(X))<=>(generous(X)&~calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((calm(X)<~>~generous(X)))))&
(![X]:((~creative(X)<~>rich(X))<=>brave(X)))&
(![X]:((funny(X)&curious(X))=>(~rich(X)&funny(X))))&
(![X]:(brave(X)<=>(~patient(X)|brave(X))))&
(((~humble(alice)|wise(alice)))<=>(?[X]:((patient(X)|~old(X)))))&
... | rich(fred) | [] | null | 0 |
Everyone who is both brave and not curious is brave or old.
If someone is either not generous or quiet then mary is calm.
If someone is either brave or not quiet then paul is not brave and vice versa.
Everyone who is curious or calm is not happy or not brave and vice versa.
If alice is humble or not humble then someone... | Paul is humble. | entailment | (![X]:((brave(X)&~curious(X))=>(brave(X)|old(X))))&
((?[X]:((~generous(X)<~>quiet(X))))=>(calm(mary)))&
((?[X]:((brave(X)<~>~quiet(X))))<=>(~brave(paul)))&
(![X]:((curious(X)|calm(X))<=>(~happy(X)|~brave(X))))&
(((humble(alice)|~humble(alice)))=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:((~funny(X)|curious(X))<=>~strong(X))... | humble(paul) | [
"p3",
"p5",
"p6",
"p9",
"p10",
"p11",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4124683938922026744499045
% SZS output start Proof for 4124683938922026744499045
4. ! [X0] : ((calm(X0) | curious(X0)) <=> (~brave(X0) | ~happy(X0))) [input p3]
6. ! [X0] : ((curious(X0) | ~funny(X0)) <=> ~strong(X0)) [input p5]
7. ! [X0] : (~funny(X0) => (~patient(X0) & ~tall(X0))) [inpu... | 0 |
If someone is not creative or not wise then paul is humble or not quiet and vice versa.
Everyone who is wise or kind is brave and vice versa.
If someone is either not generous or not strong then alice is either not old or not rich.
Everyone who is not quiet is quiet.
If lucy is not brave or funny then john is both not ... | Paul is not brave. | contradiction | ((?[X]:((~creative(X)|~wise(X))))<=>((humble(paul)|~quiet(paul))))&
(![X]:((wise(X)|kind(X))<=>brave(X)))&
((?[X]:((~generous(X)<~>~strong(X))))=>((~old(alice)<~>~rich(alice))))&
(![X]:(~quiet(X)=>quiet(X)))&
(((~brave(lucy)|funny(lucy)))<=>((~tall(john)&~humble(john))))&
((?[X]:(brave(X)))<=>((~rich(mary)<~>~happy(mar... | ~brave(paul) | [
"p1",
"p3",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3046195718895321033689139
% SZS output start Proof for 3046195718895321033689139
2. ! [X0] : ((kind(X0) | wise(X0)) <=> brave(X0)) [input p1]
4. ! [X0] : (~quiet(X0) => quiet(X0)) [input p3]
12. ! [X0] : ((patient(X0) | wise(X0)) => kind(X0)) [input p11]
14. ~quiet(alice) <=> (~calm(alice... | 0 |
Everyone who is either happy or not tall is both not calm and not kind.
Everyone who is not happy is calm and vice versa.
If someone is either calm or not calm then paul is either not old or not strong.
Everyone who is not generous is either rich or curious.
Everyone who is either not curious or wise is generous or not... | John is not quiet. | contradiction | (![X]:((happy(X)<~>~tall(X))=>(~calm(X)&~kind(X))))&
(![X]:(~happy(X)<=>calm(X)))&
((?[X]:((calm(X)<~>~calm(X))))=>((~old(paul)<~>~strong(paul))))&
(![X]:(~generous(X)=>(rich(X)<~>curious(X))))&
(![X]:((~curious(X)<~>wise(X))<=>(generous(X)|~calm(X))))&
(((~kind(lucy)|~generous(lucy)))<=>(?[X]:((humble(X)<~>tall(X)))))... | ~quiet(john) | [
"p1",
"p3",
"p4",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5787582744386700393440439
% SZS output start Proof for 5787582744386700393440439
2. ! [X0] : (~happy(X0) <=> calm(X0)) [input p1]
4. ! [X0] : (~generous(X0) => (rich(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (~calm(X0) | generous(X0))) [input p4]
8. ! [... | 0 |
If lucy is humble then paul is curious. Everyone who is either not curious or not rich is both not generous and strong. If someone is either not happy or generous then paul is both not patient and rich. Everyone who is not funny is both brave and not curious and vice versa. Everyone who is not funny or calm is both not... | John is funny. | entailment | ((humble(lucy))=>(curious(paul)))&
(![X]:((~curious(X)<~>~rich(X))=>(~generous(X)&strong(X))))&
((?[X]:((~happy(X)<~>generous(X))))=>((~patient(paul)&rich(paul))))&
(![X]:(~funny(X)<=>(brave(X)&~curious(X))))&
(![X]:((~funny(X)|calm(X))=>(~patient(X)&~happy(X))))&
(![X]:(patient(X)<=>(quiet(X)<~>generous(X))))&
(![X]:(... | funny(john) | [
"p3",
"p4",
"p5",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3793670189570262313202582
% SZS output start Proof for 3793670189570262313202582
4. ! [X0] : (~funny(X0) <=> (~curious(X0) & brave(X0))) [input p3]
5. ! [X0] : ((calm(X0) | ~funny(X0)) => (~happy(X0) & ~patient(X0))) [input p4]
6. ! [X0] : (patient(X0) <=> (quiet(X0) <~> generous(X0))) [i... | 0 |
Everyone who is strong is either happy or not old.
Everyone who is not patient is both rich and curious.
Everyone who is either happy or tall is not creative or creative and vice versa.
Everyone who is both not humble and tall is either patient or old and vice versa.
If someone is wise then susan is both old and tall.
... | Susan is wise. | contradiction | (![X]:(strong(X)=>(happy(X)<~>~old(X))))&
(![X]:(~patient(X)=>(rich(X)&curious(X))))&
(![X]:((happy(X)<~>tall(X))<=>(~creative(X)|creative(X))))&
(![X]:((~humble(X)&tall(X))<=>(patient(X)<~>old(X))))&
((?[X]:(wise(X)))=>((old(susan)&tall(susan))))&
(![X]:(~quiet(X)<=>(~tall(X)|~generous(X))))&
(![X]:((~brave(X)<~>curio... | wise(susan) | [
"p2",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6993799176204191359305614
% SZS output start Proof for 6993799176204191359305614
3. ! [X0] : ((happy(X0) <~> tall(X0)) <=> (creative(X0) | ~creative(X0))) [input p2]
5. ? [X0] : wise(X0) => (tall(susan) & old(susan)) [input p4]
13. ! [X0] : ((funny(X0) | ~happy(X0)) <=> (funny(X0) & calm(... | 0 |
If someone is both kind and not happy then mary is both not humble and not strong and vice versa. Everyone who is rich or humble is patient and vice versa. If lucy is both funny and not creative then someone is either not quiet or wise and vice versa. If john is not wise then mary is both not funny and patient and vice... | John is not kind. | neutral | ((?[X]:((kind(X)&~happy(X))))<=>((~humble(mary)&~strong(mary))))&
(![X]:((rich(X)|humble(X))<=>patient(X)))&
(((funny(lucy)&~creative(lucy)))<=>(?[X]:((~quiet(X)<~>wise(X)))))&
((~wise(john))<=>((~funny(mary)&patient(mary))))&
(![X]:((~old(X)&~generous(X))=>(calm(X)&~patient(X))))&
(![X]:((generous(X)&~funny(X))<=>(~qu... | ~kind(john) | [] | null | 0 |
Everyone who is not old or brave is either not strong or not brave and vice versa.
Everyone who is not happy or not creative is either quiet or not kind and vice versa.
Everyone who is strong is kind.
If someone is tall or strong then someone is both not generous and not curious and vice versa.
If lucy is both kind and... | Fred is funny. | neutral | (![X]:((~old(X)|brave(X))<=>(~strong(X)<~>~brave(X))))&
(![X]:((~happy(X)|~creative(X))<=>(quiet(X)<~>~kind(X))))&
(![X]:(strong(X)=>kind(X)))&
((?[X]:((tall(X)|strong(X))))<=>(?[X]:((~generous(X)&~curious(X)))))&
(((kind(lucy)&quiet(lucy)))=>(?[X]:((tall(X)|happy(X)))))&
(![X]:((~kind(X)&~humble(X))=>(tall(X)|generous... | funny(fred) | [] | null | 0 |
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