premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If susan is either calm or patient then paul is both kind and old. Everyone who is both not tall and not patient is rich. If someone is humble then susan is both kind and quiet and vice versa. If mary is rich or not rich then alice is quiet. Everyone who is rich or wise is humble and vice versa. Everyone who is either ... | Paul is brave. | neutral | (((calm(susan)<~>patient(susan)))=>((kind(paul)&old(paul))))&
(![X]:((~tall(X)&~patient(X))=>rich(X)))&
((?[X]:(humble(X)))<=>((kind(susan)&quiet(susan))))&
(((rich(mary)|~rich(mary)))=>(quiet(alice)))&
(![X]:((rich(X)|wise(X))<=>humble(X)))&
(![X]:((patient(X)<~>strong(X))<=>(generous(X)&~creative(X))))&
(![X]:((wise(... | brave(paul) | [] | null | 0 |
Everyone who is not creative or calm is both not calm and not patient and vice versa. If someone is both not calm and not humble then someone is not humble or curious and vice versa. Everyone who is not patient is creative or humble and vice versa. If paul is tall or not generous then someone is funny or quiet. Everyon... | Susan is tall. | entailment | (![X]:((~creative(X)|calm(X))<=>(~calm(X)&~patient(X))))&
((?[X]:((~calm(X)&~humble(X))))<=>(?[X]:((~humble(X)|curious(X)))))&
(![X]:(~patient(X)<=>(creative(X)|humble(X))))&
(((tall(paul)|~generous(paul)))=>(?[X]:((funny(X)|quiet(X)))))&
(![X]:((~funny(X)|~brave(X))<=>creative(X)))&
(((~generous(john)&humble(john)))<=... | tall(susan) | [
"p0",
"p2",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8696047949315101171879033
% SZS output start Proof for 8696047949315101171879033
1. ! [X0] : ((calm(X0) | ~creative(X0)) <=> (~patient(X0) & ~calm(X0))) [input p0]
3. ! [X0] : (~patient(X0) <=> (humble(X0) | creative(X0))) [input p2]
5. ! [X0] : ((~brave(X0) | ~funny(X0)) <=> creative(X0)... | 0 |
If someone is both brave and calm then someone is both not funny and tall. If someone is funny or not patient then susan is brave or rich. If someone is wise or brave then someone is either not brave or generous. If mary is not wise or not brave then someone is humble and vice versa. If someone is humble then someone i... | Mary is not generous. | contradiction | ((?[X]:((brave(X)&calm(X))))=>(?[X]:((~funny(X)&tall(X)))))&
((?[X]:((funny(X)|~patient(X))))=>((brave(susan)|rich(susan))))&
((?[X]:((wise(X)|brave(X))))=>(?[X]:((~brave(X)<~>generous(X)))))&
(((~wise(mary)|~brave(mary)))<=>(?[X]:(humble(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((~old(X)<~>... | ~generous(mary) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4594000282788125458471942
% SZS output start Proof for 4594000282788125458471942
16. ! [X0] : ((old(X0) & ~generous(X0)) => ~old(X0)) [input p15]
17. old(mary) [input p16]
25. ~generous(mary) [input hypothesis]
36. ! [X0] : (~old(X0) | (~old(X0) | generous(X0))) [ennf transformation 16]
3... | 0 |
If someone is not calm or old then john is either not creative or not funny and vice versa.
If john is either not tall or generous then someone is either tall or happy and vice versa.
Everyone who is either not brave or curious is creative or not creative.
Everyone who is both humble and not happy is not creative and v... | Susan is creative. | neutral | ((?[X]:((~calm(X)|old(X))))<=>((~creative(john)<~>~funny(john))))&
(((~tall(john)<~>generous(john)))<=>(?[X]:((tall(X)<~>happy(X)))))&
(![X]:((~brave(X)<~>curious(X))=>(creative(X)|~creative(X))))&
(![X]:((humble(X)&~happy(X))<=>~creative(X)))&
((?[X]:(curious(X)))<=>((strong(john)<~>~brave(john))))&
((?[X]:((~creative... | creative(susan) | [] | null | 0 |
Everyone who is either not happy or creative is old and vice versa.
Everyone who is old is both not rich and creative and vice versa.
If someone is not humble or not wise then someone is both not curious and patient and vice versa.
If paul is both not wise and not funny then paul is wise or brave.
Everyone who is not r... | Mary is kind. | contradiction | (![X]:((~happy(X)<~>creative(X))<=>old(X)))&
(![X]:(old(X)<=>(~rich(X)&creative(X))))&
((?[X]:((~humble(X)|~wise(X))))<=>(?[X]:((~curious(X)&patient(X)))))&
(((~wise(paul)&~funny(paul)))=>((wise(paul)|brave(paul))))&
(![X]:((~rich(X)|patient(X))<=>(creative(X)|~calm(X))))&
(![X]:(~rich(X)=>(humble(X)&patient(X))))&
(((... | kind(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2988525403814911448111701
% SZS output start Proof for 2988525403814911448111701
7. (~generous(paul) & generous(paul)) <=> ? [X0] : (kind(X0) | ~rich(X0)) [input p6]
25. kind(mary) [input hypothesis]
48. ((~generous(paul) & generous(paul)) | ! [X0] : (~kind(X0) & rich(X0))) & (? [X0] : (k... | 0 |
Everyone who is both happy and not strong is both not humble and not strong.
Everyone who is either not wise or not generous is not rich.
Everyone who is patient is not calm or humble.
Everyone who is both not brave and creative is both funny and humble.
If someone is both not humble and creative then someone is not qu... | Lucy is not humble. | entailment | (![X]:((happy(X)&~strong(X))=>(~humble(X)&~strong(X))))&
(![X]:((~wise(X)<~>~generous(X))=>~rich(X)))&
(![X]:(patient(X)=>(~calm(X)|humble(X))))&
(![X]:((~brave(X)&creative(X))=>(funny(X)&humble(X))))&
((?[X]:((~humble(X)&creative(X))))=>(?[X]:((~quiet(X)|patient(X)))))&
(![X]:(calm(X)=>(happy(X)&tall(X))))&
(![X]:((wi... | ~humble(lucy) | [
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3503115170025248726926239
% SZS output start Proof for 3503115170025248726926239
6. ! [X0] : (calm(X0) => (tall(X0) & happy(X0))) [input p5]
9. ! [X0] : ((calm(X0) <~> happy(X0)) <=> (wise(X0) | humble(X0))) [input p8]
11. ! [X0] : ((~curious(X0) | happy(X0)) <=> ~happy(X0)) [input p10]
2... | 0 |
Everyone who is both not happy and not curious is not strong and vice versa.
If someone is not curious or funny then paul is not rich and vice versa.
Everyone who is both not quiet and not strong is both not generous and old and vice versa.
If someone is happy then alice is both patient and brave.
If lucy is happy then... | John is generous. | neutral | (![X]:((~happy(X)&~curious(X))<=>~strong(X)))&
((?[X]:((~curious(X)|funny(X))))<=>(~rich(paul)))&
(![X]:((~quiet(X)&~strong(X))<=>(~generous(X)&old(X))))&
((?[X]:(happy(X)))=>((patient(alice)&brave(alice))))&
((happy(lucy))<=>((~rich(paul)|~curious(paul))))&
(![X]:((~kind(X)<~>~wise(X))<=>(~humble(X)|calm(X))))&
((pati... | generous(john) | [] | null | 0 |
If someone is both quiet and not wise then someone is either not kind or not curious and vice versa.
Everyone who is both wise and kind is wise.
Everyone who is funny is both not tall and not brave.
Everyone who is not humble or creative is tall or not tall.
If someone is both brave and not creative then fred is quiet ... | Fred is wise. | neutral | ((?[X]:((quiet(X)&~wise(X))))<=>(?[X]:((~kind(X)<~>~curious(X)))))&
(![X]:((wise(X)&kind(X))=>wise(X)))&
(![X]:(funny(X)=>(~tall(X)&~brave(X))))&
(![X]:((~humble(X)|creative(X))=>(tall(X)|~tall(X))))&
((?[X]:((brave(X)&~creative(X))))<=>(quiet(fred)))&
(![X]:((~generous(X)|humble(X))<=>(strong(X)<~>~strong(X))))&
(![X]... | wise(fred) | [] | null | 0 |
Everyone who is both not kind and humble is creative.
If someone is both not funny and old then someone is either not strong or calm and vice versa.
If mary is both old and patient then someone is either not generous or creative.
If mary is tall or funny then someone is either not tall or not brave.
If fred is kind the... | Lucy is not funny. | contradiction | (![X]:((~kind(X)&humble(X))=>creative(X)))&
((?[X]:((~funny(X)&old(X))))<=>(?[X]:((~strong(X)<~>calm(X)))))&
(((old(mary)&patient(mary)))=>(?[X]:((~generous(X)<~>creative(X)))))&
(((tall(mary)|funny(mary)))=>(?[X]:((~tall(X)<~>~brave(X)))))&
((kind(fred))=>(?[X]:((tall(X)&curious(X)))))&
(((quiet(paul)&~generous(paul))... | ~funny(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6485153812527781871357885
% SZS output start Proof for 6485153812527781871357885
16. ! [X0] : ((~funny(X0) | rich(X0)) => funny(X0)) [input p15]
25. ~funny(lucy) [input hypothesis]
27. ! [X0] : (~funny(X0) => funny(X0)) [pure predicate removal 16]
44. ! [X0] : (funny(X0) | funny(X0)) [enn... | 0 |
Everyone who is either not curious or patient is either funny or not curious and vice versa.
Everyone who is either tall or not calm is both not curious and not humble.
If paul is either not patient or patient then mary is not patient and vice versa.
If fred is not creative or not strong then someone is either brave or... | Mary is not funny. | entailment | (![X]:((~curious(X)<~>patient(X))<=>(funny(X)<~>~curious(X))))&
(![X]:((tall(X)<~>~calm(X))=>(~curious(X)&~humble(X))))&
(((~patient(paul)<~>patient(paul)))<=>(~patient(mary)))&
(((~creative(fred)|~strong(fred)))<=>(?[X]:((brave(X)<~>~curious(X)))))&
(((patient(lucy)&~kind(lucy)))=>(?[X]:((kind(X)<~>~funny(X)))))&
(((~... | ~funny(mary) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8732027954638704497816966
% SZS output start Proof for 8732027954638704497816966
1. ! [X0] : ((~curious(X0) <~> patient(X0)) <=> (funny(X0) <~> ~curious(X0))) [input p0]
3. (~patient(paul) <~> patient(paul)) <=> ~patient(mary) [input p2]
24. funny(mary) [input hypothesis]
34. ! [X0] : (((... | 0 |
If susan is patient or not kind then someone is either curious or not wise and vice versa.
If paul is both not curious and not funny then susan is both quiet and not generous and vice versa.
Everyone who is both not kind and not creative is both not curious and brave.
Everyone who is both humble and generous is either ... | Paul is not curious. | neutral | (((patient(susan)|~kind(susan)))<=>(?[X]:((curious(X)<~>~wise(X)))))&
(((~curious(paul)&~funny(paul)))<=>((quiet(susan)&~generous(susan))))&
(![X]:((~kind(X)&~creative(X))=>(~curious(X)&brave(X))))&
(![X]:((humble(X)&generous(X))=>(rich(X)<~>kind(X))))&
(![X]:((~funny(X)&~patient(X))=>(quiet(X)<~>~brave(X))))&
(((~wise... | ~curious(paul) | [] | null | 0 |
Everyone who is not old is both kind and curious and vice versa. If someone is quiet then mary is not tall and vice versa. Everyone who is both not brave and not rich is not kind or not happy and vice versa. Everyone who is not rich is both quiet and brave and vice versa. If lucy is both calm and not tall then fred is ... | Mary is calm. | neutral | (![X]:(~old(X)<=>(kind(X)&curious(X))))&
((?[X]:(quiet(X)))<=>(~tall(mary)))&
(![X]:((~brave(X)&~rich(X))<=>(~kind(X)|~happy(X))))&
(![X]:(~rich(X)<=>(quiet(X)&brave(X))))&
(((calm(lucy)&~tall(lucy)))=>((calm(fred)|~curious(fred))))&
((quiet(john))<=>((~creative(john)|~patient(john))))&
((old(alice))<=>((wise(lucy)&kin... | calm(mary) | [] | null | 0 |
Everyone who is both not happy and not kind is happy and vice versa.
If lucy is not calm or not curious then susan is kind and vice versa.
Everyone who is both not generous and creative is rich or quiet and vice versa.
If paul is both patient and not wise then someone is either quiet or not happy and vice versa.
If som... | Paul is not humble. | neutral | (![X]:((~happy(X)&~kind(X))<=>happy(X)))&
(((~calm(lucy)|~curious(lucy)))<=>(kind(susan)))&
(![X]:((~generous(X)&creative(X))<=>(rich(X)|quiet(X))))&
(((patient(paul)&~wise(paul)))<=>(?[X]:((quiet(X)<~>~happy(X)))))&
((?[X]:(~humble(X)))<=>((~creative(alice)|~rich(alice))))&
(![X]:((old(X)&~kind(X))=>(quiet(X)|~humble(... | ~humble(paul) | [] | null | 0 |
Everyone who is not patient or not brave is either creative or funny and vice versa.
If alice is creative then susan is not strong or not wise and vice versa.
If someone is both brave and strong then fred is both kind and not curious and vice versa.
Everyone who is not happy is happy or kind.
Everyone who is not rich i... | Alice is kind. | entailment | (![X]:((~patient(X)|~brave(X))<=>(creative(X)<~>funny(X))))&
((creative(alice))<=>((~strong(susan)|~wise(susan))))&
((?[X]:((brave(X)&strong(X))))<=>((kind(fred)&~curious(fred))))&
(![X]:(~happy(X)=>(happy(X)|kind(X))))&
(![X]:(~rich(X)<=>(brave(X)|~happy(X))))&
((?[X]:((~brave(X)&~generous(X))))<=>((~old(mary)|patient... | kind(alice) | [
"p6",
"p7",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4987572000838747040217458
% SZS output start Proof for 4987572000838747040217458
7. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (brave(X0) <~> ~creative(X0))) [input p6]
8. ? [X0] : ~creative(X0) => (kind(alice) | patient(alice)) [input p7]
10. ! [X0] : (~humble(X0) => (creative(X0) <~> ~kind... | 0 |
Everyone who is patient is creative or funny and vice versa.
If someone is either curious or not generous then john is patient or curious and vice versa.
Everyone who is not happy or not wise is both tall and not happy.
Everyone who is either tall or patient is not old and vice versa.
If fred is wise then fred is wise ... | Susan is wise. | entailment | (![X]:(patient(X)<=>(creative(X)|funny(X))))&
((?[X]:((curious(X)<~>~generous(X))))<=>((patient(john)|curious(john))))&
(![X]:((~happy(X)|~wise(X))=>(tall(X)&~happy(X))))&
(![X]:((tall(X)<~>patient(X))<=>~old(X)))&
((wise(fred))=>((wise(fred)|rich(fred))))&
(![X]:((~wise(X)&patient(X))<=>(~funny(X)<~>~tall(X))))&
((?[X... | wise(susan) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3012491464462063718236142
% SZS output start Proof for 3012491464462063718236142
1. ! [X0] : (patient(X0) <=> (funny(X0) | creative(X0))) [input p0]
2. ? [X0] : (curious(X0) <~> ~generous(X0)) <=> (curious(john) | patient(john)) [input p1]
3. ! [X0] : ((~wise(X0) | ~happy(X0)) => (~happy(... | 0 |
Everyone who is either patient or rich is either calm or humble and vice versa.
If someone is either not brave or not rich then someone is either brave or not wise and vice versa.
Everyone who is either old or not wise is either not quiet or brave.
If someone is not brave then mary is old or humble.
Everyone who is eit... | Susan is not happy. | entailment | (![X]:((patient(X)<~>rich(X))<=>(calm(X)<~>humble(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>(?[X]:((brave(X)<~>~wise(X)))))&
(![X]:((old(X)<~>~wise(X))=>(~quiet(X)<~>brave(X))))&
((?[X]:(~brave(X)))=>((old(mary)|humble(mary))))&
(![X]:((calm(X)<~>wise(X))<=>(humble(X)|~brave(X))))&
(((~patient(mary)|kind(mary)))=>((pat... | ~happy(susan) | [
"p0",
"p4",
"p7",
"p10",
"p13",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6942410472052809075307518
% SZS output start Proof for 6942410472052809075307518
1. ! [X0] : ((patient(X0) <~> rich(X0)) <=> (calm(X0) <~> humble(X0))) [input p0]
5. ! [X0] : ((calm(X0) <~> wise(X0)) <=> (~brave(X0) | humble(X0))) [input p4]
8. ! [X0] : (~rich(X0) => (~calm(X0) & humble(X... | 0 |
Everyone who is either not patient or curious is old and vice versa.
If alice is not calm or generous then paul is both calm and generous and vice versa.
If alice is not patient or not humble then someone is not old.
If alice is not patient then mary is both not rich and brave.
Everyone who is tall is both generous and... | Paul is tall. | neutral | (![X]:((~patient(X)<~>curious(X))<=>old(X)))&
(((~calm(alice)|generous(alice)))<=>((calm(paul)&generous(paul))))&
(((~patient(alice)|~humble(alice)))=>(?[X]:(~old(X))))&
((~patient(alice))=>((~rich(mary)&brave(mary))))&
(![X]:(tall(X)<=>(generous(X)&strong(X))))&
(((strong(fred)<~>patient(fred)))<=>(?[X]:((creative(X)&... | tall(paul) | [] | null | 0 |
If someone is not rich or not strong then someone is both not funny and old.
If someone is both not strong and not brave then john is not wise or not kind.
Everyone who is old or rich is either not humble or not patient and vice versa.
Everyone who is not humble is either generous or not kind.
If someone is not creativ... | Lucy is funny. | entailment | ((?[X]:((~rich(X)|~strong(X))))=>(?[X]:((~funny(X)&old(X)))))&
((?[X]:((~strong(X)&~brave(X))))=>((~wise(john)|~kind(john))))&
(![X]:((old(X)|rich(X))<=>(~humble(X)<~>~patient(X))))&
(![X]:(~humble(X)=>(generous(X)<~>~kind(X))))&
((?[X]:((~creative(X)|humble(X))))<=>(~wise(fred)))&
(![X]:((rich(X)&humble(X))=>(~old(X)|... | funny(lucy) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2141841541809552710676794
% SZS output start Proof for 2141841541809552710676794
13. ! [X0] : ((curious(X0) | brave(X0)) => ~brave(X0)) [input p12]
15. ! [X0] : ((~funny(X0) | wise(X0)) => (~curious(X0) & brave(X0))) [input p14]
23. ~funny(lucy) [input hypothesis]
35. ! [X0] : (~brave(X0)... | 0 |
Everyone who is not creative or not quiet is not brave.
If someone is not tall or not kind then someone is not kind or creative.
If someone is not funny then fred is not kind or strong.
If someone is both not patient and patient then someone is both not brave and not humble.
Everyone who is both wise and patient is bot... | Mary is funny. | contradiction | (![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(X))<=>(quiet(X)&~happy(X))))&
(![X]:(funny(X)<=>(tall(X)<~>rich... | funny(mary) | [
"p5",
"p6",
"p8",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7233981399793839293657019
% SZS output start Proof for 7233981399793839293657019
6. ! [X0] : (funny(X0) <=> (tall(X0) <~> rich(X0))) [input p5]
7. ! [X0] : ((~curious(X0) | brave(X0)) <=> ~patient(X0)) [input p6]
9. ? [X0] : tall(X0) <=> ? [X0] : (generous(X0) & ~quiet(X0)) [input p8]
12.... | 0 |
If someone is not curious or quiet then paul is either not happy or rich and vice versa. If paul is either not curious or quiet then someone is either happy or not wise and vice versa. Everyone who is old or quiet is tall and vice versa. If fred is calm or not tall then someone is not happy. If someone is both happy an... | Mary is happy. | neutral | ((?[X]:((~curious(X)|quiet(X))))<=>((~happy(paul)<~>rich(paul))))&
(((~curious(paul)<~>quiet(paul)))<=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((old(X)|quiet(X))<=>tall(X)))&
(((calm(fred)|~tall(fred)))=>(?[X]:(~happy(X))))&
((?[X]:((happy(X)&~tall(X))))=>(?[X]:((calm(X)<~>~wise(X)))))&
(![X]:(creative(X)<=>(~old(X)|pat... | happy(mary) | [] | null | 0 |
If someone is both brave and happy then someone is both not brave and calm.
If someone is happy then someone is both not happy and not generous and vice versa.
Everyone who is both tall and not happy is either rich or not old.
Everyone who is both calm and not quiet is either not brave or curious.
Everyone who is creat... | John is old. | entailment | ((?[X]:((brave(X)&happy(X))))=>(?[X]:((~brave(X)&calm(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~happy(X)&~generous(X)))))&
(![X]:((tall(X)&~happy(X))=>(rich(X)<~>~old(X))))&
(![X]:((calm(X)&~quiet(X))=>(~brave(X)<~>curious(X))))&
(![X]:((creative(X)|kind(X))<=>creative(X)))&
(![X]:((~funny(X)<~>~humble(X))<=>(~happy(X)&cur... | old(john) | [
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5110436527742991255277117
% SZS output start Proof for 5110436527742991255277117
15. ! [X0] : ((~old(X0) | ~tall(X0)) => curious(X0)) [input p14]
21. ~curious(john) & ~funny(john) [input p20]
24. ~old(john) [input hypothesis]
40. ! [X0] : (curious(X0) | (old(X0) & tall(X0))) [ennf transfo... | 0 |
Everyone who is both kind and not quiet is rich and vice versa. Everyone who is either not brave or tall is both brave and not tall. Everyone who is funny is old or not curious and vice versa. If lucy is both not old and old then someone is not brave or not funny. Everyone who is both brave and not kind is quiet and vi... | Fred is not funny. | neutral | (![X]:((kind(X)&~quiet(X))<=>rich(X)))&
(![X]:((~brave(X)<~>tall(X))=>(brave(X)&~tall(X))))&
(![X]:(funny(X)<=>(old(X)|~curious(X))))&
(((~old(lucy)&old(lucy)))=>(?[X]:((~brave(X)|~funny(X)))))&
(![X]:((brave(X)&~kind(X))<=>quiet(X)))&
(![X]:((strong(X)|humble(X))<=>(~calm(X)<~>strong(X))))&
(((brave(lucy)<~>~patient(l... | ~funny(fred) | [] | null | 0 |
If someone is not brave then someone is either not kind or curious and vice versa.
If someone is both creative and not old then someone is creative or not calm and vice versa.
Everyone who is not old or curious is not quiet and vice versa.
Everyone who is either humble or not humble is not calm.
If someone is not creat... | John is funny. | contradiction | ((?[X]:(~brave(X)))<=>(?[X]:((~kind(X)<~>curious(X)))))&
((?[X]:((creative(X)&~old(X))))<=>(?[X]:((creative(X)|~calm(X)))))&
(![X]:((~old(X)|curious(X))<=>~quiet(X)))&
(![X]:((humble(X)<~>~humble(X))=>~calm(X)))&
((?[X]:((~creative(X)|wise(X))))=>(?[X]:((~calm(X)<~>~wise(X)))))&
((?[X]:((funny(X)<~>brave(X))))<=>(?[X]:... | funny(john) | [
"p3",
"p12",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5300630974657405017871361
% SZS output start Proof for 5300630974657405017871361
4. ! [X0] : ((humble(X0) <~> ~humble(X0)) => ~calm(X0)) [input p3]
13. funny(john) <=> (~happy(mary) & ~rich(mary)) [input p12]
14. ! [X0] : ((old(X0) & ~wise(X0)) <=> ~rich(X0)) [input p13]
24. ~old(mary) | ... | 0 |
Everyone who is both old and not strong is not funny or strong and vice versa. Everyone who is both not old and wise is strong. Everyone who is both tall and humble is either not curious or not brave and vice versa. Everyone who is not happy or tall is not humble or not wise and vice versa. Everyone who is both not tal... | Fred is humble. | contradiction | (![X]:((old(X)&~strong(X))<=>(~funny(X)|strong(X))))&
(![X]:((~old(X)&wise(X))=>strong(X)))&
(![X]:((tall(X)&humble(X))<=>(~curious(X)<~>~brave(X))))&
(![X]:((~happy(X)|tall(X))<=>(~humble(X)|~wise(X))))&
(![X]:((~tall(X)&~calm(X))<=>old(X)))&
(((~curious(paul)<~>~humble(paul)))=>((~brave(john)|quiet(john))))&
(![X]:((... | humble(fred) | [
"p0",
"p3",
"p7",
"p8",
"p10",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4719591297373630121647564
% SZS output start Proof for 4719591297373630121647564
1. ! [X0] : ((~strong(X0) & old(X0)) <=> (strong(X0) | ~funny(X0))) [input p0]
4. ! [X0] : ((tall(X0) | ~happy(X0)) <=> (~wise(X0) | ~humble(X0))) [input p3]
8. ! [X0] : (generous(X0) <=> (~strong(X0) <~> hap... | 0 |
Everyone who is old is either not humble or not strong. Everyone who is creative or wise is both not generous and not curious and vice versa. Everyone who is both not rich and funny is wise or curious. If someone is either funny or creative then someone is either not kind or rich and vice versa. If mary is either brave... | Lucy is tall. | entailment | (![X]:(old(X)=>(~humble(X)<~>~strong(X))))&
(![X]:((creative(X)|wise(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~rich(X)&funny(X))=>(wise(X)|curious(X))))&
((?[X]:((funny(X)<~>creative(X))))<=>(?[X]:((~kind(X)<~>rich(X)))))&
(((brave(mary)<~>~creative(mary)))=>((~tall(alice)&tall(alice))))&
((?[X]:((~strong(X)&~humble... | tall(lucy) | [
"p1",
"p7",
"p10",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1841698109414864738947995
% SZS output start Proof for 1841698109414864738947995
2. ! [X0] : ((wise(X0) | creative(X0)) <=> (~curious(X0) & ~generous(X0))) [input p1]
8. ! [X0] : ((~wise(X0) & ~calm(X0)) => (~quiet(X0) & funny(X0))) [input p7]
11. ! [X0] : (calm(X0) <=> funny(X0)) [input ... | 0 |
If someone is both humble and not quiet then someone is either not creative or humble and vice versa. Everyone who is both not curious and not tall is either not curious or not happy. If someone is wise or not happy then lucy is either not generous or strong and vice versa. If john is not brave or not curious then alic... | Lucy is tall. | neutral | ((?[X]:((humble(X)&~quiet(X))))<=>(?[X]:((~creative(X)<~>humble(X)))))&
(![X]:((~curious(X)&~tall(X))=>(~curious(X)<~>~happy(X))))&
((?[X]:((wise(X)|~happy(X))))<=>((~generous(lucy)<~>strong(lucy))))&
(((~brave(john)|~curious(john)))=>((funny(alice)&~humble(alice))))&
(![X]:((tall(X)<~>rich(X))=>(tall(X)<~>~wise(X))))&... | tall(lucy) | [] | null | 0 |
Everyone who is not wise is kind.
If fred is either not old or strong then fred is either not funny or not humble and vice versa.
Everyone who is either not patient or not wise is kind or not strong.
If someone is not happy then john is both not happy and funny.
Everyone who is not quiet or not calm is both not creativ... | Paul is not happy. | entailment | (![X]:(~wise(X)=>kind(X)))&
(((~old(fred)<~>strong(fred)))<=>((~funny(fred)<~>~humble(fred))))&
(![X]:((~patient(X)<~>~wise(X))=>(kind(X)|~strong(X))))&
((?[X]:(~happy(X)))=>((~happy(john)&funny(john))))&
(![X]:((~quiet(X)|~calm(X))=>(~creative(X)&~wise(X))))&
(![X]:((~brave(X)|old(X))<=>(~humble(X)<~>tall(X))))&
(![X]... | ~happy(paul) | [
"p0",
"p4",
"p6",
"p7",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8106856763594842066434657
% SZS output start Proof for 8106856763594842066434657
1. ! [X0] : (~wise(X0) => kind(X0)) [input p0]
5. ! [X0] : ((~calm(X0) | ~quiet(X0)) => (~wise(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((~brave(X0) <~> ~old(X0)) <=> (~old(X0) & ~kind(X0))) [input p6]
8.... | 0 |
Everyone who is both not rich and not brave is both happy and not humble and vice versa.
Everyone who is old is not rich and vice versa.
Everyone who is either not curious or strong is either funny or not kind.
If alice is patient then paul is either not kind or not humble.
If someone is either rich or not funny then s... | Lucy is not kind. | neutral | (![X]:((~rich(X)&~brave(X))<=>(happy(X)&~humble(X))))&
(![X]:(old(X)<=>~rich(X)))&
(![X]:((~curious(X)<~>strong(X))=>(funny(X)<~>~kind(X))))&
((patient(alice))=>((~kind(paul)<~>~humble(paul))))&
((?[X]:((rich(X)<~>~funny(X))))<=>(~happy(susan)))&
((?[X]:(brave(X)))=>((humble(john)|brave(john))))&
(((~old(mary)&~rich(ma... | ~kind(lucy) | [] | null | 0 |
Everyone who is either humble or strong is either not kind or old.
Everyone who is not happy is not old and vice versa.
Everyone who is rich is both old and patient and vice versa.
Everyone who is not patient or patient is not calm or not rich and vice versa.
If lucy is either not wise or quiet then someone is both gen... | John is not humble. | entailment | (![X]:((humble(X)<~>strong(X))=>(~kind(X)<~>old(X))))&
(![X]:(~happy(X)<=>~old(X)))&
(![X]:(rich(X)<=>(old(X)&patient(X))))&
(![X]:((~patient(X)|patient(X))<=>(~calm(X)|~rich(X))))&
(((~wise(lucy)<~>quiet(lucy)))=>(?[X]:((generous(X)&curious(X)))))&
(((funny(mary)&~funny(mary)))<=>(funny(lucy)))&
(![X]:(funny(X)=>(~bra... | ~humble(john) | [
"p1",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1137135826912193869514626
% SZS output start Proof for 1137135826912193869514626
2. ! [X0] : (~happy(X0) <=> ~old(X0)) [input p1]
10. ! [X0] : ((~calm(X0) <~> happy(X0)) <=> (wise(X0) & calm(X0))) [input p9]
12. ! [X0] : (calm(X0) <=> (wise(X0) | ~calm(X0))) [input p11]
14. ? [X0] : (old(... | 0 |
If fred is not rich then someone is both not humble and not strong. Everyone who is either not tall or not quiet is tall and vice versa. If paul is not tall or old then someone is not curious. If mary is both not creative and generous then alice is curious or happy. Everyone who is wise or not curious is either not old... | Mary is old. | neutral | ((~rich(fred))=>(?[X]:((~humble(X)&~strong(X)))))&
(![X]:((~tall(X)<~>~quiet(X))<=>tall(X)))&
(((~tall(paul)|old(paul)))=>(?[X]:(~curious(X))))&
(((~creative(mary)&generous(mary)))=>((curious(alice)|happy(alice))))&
(![X]:((wise(X)|~curious(X))=>(~old(X)<~>~patient(X))))&
(![X]:((~rich(X)|strong(X))<=>(old(X)|~strong(X... | old(mary) | [] | null | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa.
If someone is both not generous and calm then mary is quiet or happy.
If someone is either not rich or not funny then someone is not humble.
Everyone who is old or not quiet is humble and vice versa.
If someone is both not strong and wis... | Mary is wise. | contradiction | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
((?[X]:((~generous(X)&calm(X))))=>((quiet(mary)|happy(mary))))&
((?[X]:((~rich(X)<~>~funny(X))))=>(?[X]:(~humble(X))))&
(![X]:((old(X)|~quiet(X))<=>humble(X)))&
((?[X]:((~strong(X)&wise(X))))<=>(?[X]:(wise(X))))&
(((humble(paul)<~>~tall(paul)))=>(~creative(mary... | wise(mary) | [
"p0",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5093936774434434720825774
% SZS output start Proof for 5093936774434434720825774
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~happy(X0) <~> generous(X0))) [input p0]
8. ? [X0] : (~old(X0) | brave(X0)) <=> ? [X0] : (~wise(X0) & wise(X0)) [input p7]
12. ! [X0] : (~old(X0) <=> ~happy(X0)) [in... | 0 |
If someone is both calm and old then lucy is either not tall or calm. If john is either humble or not old then someone is both not curious and not generous. Everyone who is rich is either strong or not strong. Everyone who is either not calm or quiet is either not calm or humble and vice versa. Everyone who is not tall... | Alice is not old. | contradiction | ((?[X]:((calm(X)&old(X))))=>((~tall(lucy)<~>calm(lucy))))&
(((humble(john)<~>~old(john)))=>(?[X]:((~curious(X)&~generous(X)))))&
(![X]:(rich(X)=>(strong(X)<~>~strong(X))))&
(![X]:((~calm(X)<~>quiet(X))<=>(~calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~generous(X))=>(~patient(X)&tall(X))))&
(![X]:((curious(X)|~tall(X))<=>(~... | ~old(alice) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1442587805406339805211868
% SZS output start Proof for 1442587805406339805211868
7. ! [X0] : ((~calm(X0) & ~strong(X0)) <=> (funny(X0) | ~funny(X0))) [input p6]
15. ! [X0] : ((calm(X0) | ~old(X0)) => (~funny(X0) & strong(X0))) [input p14]
23. ~old(alice) [input hypothesis]
37. ! [X0] : ((... | 0 |
Everyone who is either tall or generous is old and vice versa.
If someone is both not creative and brave then alice is both not old and not strong and vice versa.
If lucy is either strong or not funny then fred is kind or patient and vice versa.
If alice is both tall and not calm then someone is both happy and not quie... | Lucy is not kind. | neutral | (![X]:((tall(X)<~>generous(X))<=>old(X)))&
((?[X]:((~creative(X)&brave(X))))<=>((~old(alice)&~strong(alice))))&
(((strong(lucy)<~>~funny(lucy)))<=>((kind(fred)|patient(fred))))&
(((tall(alice)&~calm(alice)))=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:(~tall(X)=>(wise(X)&tall(X))))&
(![X]:(~generous(X)<=>(~wise(X)|tall(X)))... | ~kind(lucy) | [] | null | 0 |
If someone is tall then someone is either not funny or creative and vice versa.
Everyone who is both not humble and wise is either not curious or not old.
If someone is not happy then someone is not patient or not generous and vice versa.
Everyone who is both not calm and strong is not patient and vice versa.
If mary i... | Fred is not funny. | entailment | ((?[X]:(tall(X)))<=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~humble(X)&wise(X))=>(~curious(X)<~>~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((~calm(X)&strong(X))<=>~patient(X)))&
(((patient(mary)|~humble(mary)))=>((~generous(mary)&calm(mary))))&
(![X]:(generous(X)=>(calm(X)&~wise(... | ~funny(fred) | [
"p3",
"p5",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 512170598438936106059919
% SZS output start Proof for 512170598438936106059919
4. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (generous(X0) => (~wise(X0) & calm(X0))) [input p5]
9. ? [X0] : (~wise(X0) | ~calm(X0)) => generous(fred) [input p8]
15. ! [X0] : (... | 0 |
If susan is humble or not rich then lucy is both happy and not generous and vice versa.
If fred is not brave or not calm then fred is either patient or humble.
If alice is tall or wise then mary is either not curious or not happy.
Everyone who is not tall is calm or creative and vice versa.
Everyone who is not kind is ... | Alice is not kind. | entailment | (((humble(susan)|~rich(susan)))<=>((happy(lucy)&~generous(lucy))))&
(((~brave(fred)|~calm(fred)))=>((patient(fred)<~>humble(fred))))&
(((tall(alice)|wise(alice)))=>((~curious(mary)<~>~happy(mary))))&
(![X]:(~tall(X)<=>(calm(X)|creative(X))))&
(![X]:(~kind(X)=>(wise(X)&~kind(X))))&
(((old(lucy)&~calm(lucy)))=>(?[X]:((~g... | ~kind(alice) | [
"p3",
"p6",
"p7",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6497818384024316733442692
% SZS output start Proof for 6497818384024316733442692
4. ! [X0] : (~tall(X0) <=> (creative(X0) | calm(X0))) [input p3]
7. ! [X0] : (brave(X0) <=> (~humble(X0) & ~strong(X0))) [input p6]
8. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (~old(X0) & curious(X0))) [input p... | 0 |
Everyone who is not happy is either not curious or rich and vice versa.
Everyone who is not curious or not kind is either not brave or curious and vice versa.
If someone is either not generous or tall then someone is generous and vice versa.
Everyone who is either calm or old is patient and vice versa.
Everyone who is ... | Mary is not wise. | neutral | (![X]:(~happy(X)<=>(~curious(X)<~>rich(X))))&
(![X]:((~curious(X)|~kind(X))<=>(~brave(X)<~>curious(X))))&
((?[X]:((~generous(X)<~>tall(X))))<=>(?[X]:(generous(X))))&
(![X]:((calm(X)<~>old(X))<=>patient(X)))&
(![X]:((~creative(X)<~>wise(X))=>(patient(X)|brave(X))))&
((brave(fred))=>(?[X]:((~old(X)<~>~curious(X)))))&
(((... | ~wise(mary) | [] | null | 0 |
Everyone who is both funny and not tall is either not creative or not patient. Everyone who is both not creative and not curious is funny and vice versa. Everyone who is generous or not quiet is rich. Everyone who is not old is both not creative and strong and vice versa. Everyone who is not quiet is funny or not humbl... | John is not humble. | neutral | (![X]:((funny(X)&~tall(X))=>(~creative(X)<~>~patient(X))))&
(![X]:((~creative(X)&~curious(X))<=>funny(X)))&
(![X]:((generous(X)|~quiet(X))=>rich(X)))&
(![X]:(~old(X)<=>(~creative(X)&strong(X))))&
(![X]:(~quiet(X)<=>(funny(X)|~humble(X))))&
(![X]:((funny(X)<~>~tall(X))<=>(~tall(X)&~old(X))))&
(((brave(john)|strong(john)... | ~humble(john) | [] | null | 0 |
If someone is calm then someone is not patient and vice versa. If lucy is both not brave and brave then someone is both old and tall and vice versa. Everyone who is not brave or strong is not creative or not generous and vice versa. Everyone who is either humble or curious is both humble and wise and vice versa. Everyo... | Paul is not tall. | entailment | ((?[X]:(calm(X)))<=>(?[X]:(~patient(X))))&
(((~brave(lucy)&brave(lucy)))<=>(?[X]:((old(X)&tall(X)))))&
(![X]:((~brave(X)|strong(X))<=>(~creative(X)|~generous(X))))&
(![X]:((humble(X)<~>curious(X))<=>(humble(X)&wise(X))))&
(![X]:((old(X)<~>brave(X))<=>(~tall(X)&calm(X))))&
(![X]:((~brave(X)<~>strong(X))<=>(calm(X)&creat... | ~tall(paul) | [
"p1",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6831619568611819741799540
% SZS output start Proof for 6831619568611819741799540
2. (brave(lucy) & ~brave(lucy)) <=> ? [X0] : (tall(X0) & old(X0)) [input p1]
11. ! [X0] : ((generous(X0) | ~strong(X0)) <=> quiet(X0)) [input p10]
13. ! [X0] : ((strong(X0) <~> old(X0)) <=> (old(X0) & brave(X... | 0 |
If alice is either wise or creative then fred is both not strong and not happy and vice versa.
If alice is not quiet or rich then someone is both calm and not old and vice versa.
Everyone who is both patient and creative is both curious and not patient.
If someone is both tall and patient then someone is either not str... | Fred is rich. | contradiction | (((wise(alice)<~>creative(alice)))<=>((~strong(fred)&~happy(fred))))&
(((~quiet(alice)|rich(alice)))<=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((patient(X)&creative(X))=>(curious(X)&~patient(X))))&
((?[X]:((tall(X)&patient(X))))<=>(?[X]:((~strong(X)<~>~old(X)))))&
((?[X]:((~brave(X)&brave(X))))=>(?[X]:((quiet(X)&~generous(X... | rich(fred) | [
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2727360786310841278754545
% SZS output start Proof for 2727360786310841278754545
7. ! [X0] : ((old(X0) | ~old(X0)) => (calm(X0) & ~brave(X0))) [input p6]
9. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> rich(X0)) [input p8]
10. ! [X0] : (creative(X0) => (~rich(X0) <~> generous(X0))) [input p... | 0 |
Everyone who is both not kind and old is quiet and vice versa.
If fred is either old or generous then someone is happy or calm.
Everyone who is either creative or not curious is not creative or happy.
Everyone who is either humble or not quiet is not patient or not curious and vice versa.
Everyone who is both not happy... | Fred is not patient. | contradiction | (![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<~>generous(fred)))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((creative(X)<~>~curious(X))=>(~creative(X)|happy(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>(~patient(X)|~curious(X))))&
(![X]:((~happy(X)&wise(X))<=>(strong(X)&rich(X))))&
(![X]:(~old(X)<=>(kind(X)|~generous(X))))... | ~patient(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7267186825255217946288251
% SZS output start Proof for 7267186825255217946288251
21. ~happy(fred) & patient(fred) [input p20]
22. ~patient(fred) [input hypothesis]
134. patient(fred) [cnf transformation 21]
136. ~patient(fred) [cnf transformation 22]
259. $false [subsumption resolution 13... | 0 |
Everyone who is old or patient is strong and vice versa.
Everyone who is old is either not brave or not tall and vice versa.
If someone is both not happy and brave then john is either happy or patient.
Everyone who is not calm or not rich is both old and not kind and vice versa.
Everyone who is kind or not quiet is bot... | Paul is not happy. | neutral | (![X]:((old(X)|patient(X))<=>strong(X)))&
(![X]:(old(X)<=>(~brave(X)<~>~tall(X))))&
((?[X]:((~happy(X)&brave(X))))=>((happy(john)<~>patient(john))))&
(![X]:((~calm(X)|~rich(X))<=>(old(X)&~kind(X))))&
(![X]:((kind(X)|~quiet(X))<=>(~patient(X)&patient(X))))&
(![X]:(~old(X)<=>~quiet(X)))&
(![X]:((wise(X)<~>happy(X))<=>~pa... | ~happy(paul) | [] | null | 0 |
Everyone who is both funny and not funny is not humble or not calm and vice versa. If someone is not strong then fred is either not tall or not happy and vice versa. Everyone who is either not funny or old is both not calm and not strong and vice versa. If paul is either not quiet or not calm then john is curious or ge... | Fred is calm. | entailment | (![X]:((funny(X)&~funny(X))<=>(~humble(X)|~calm(X))))&
((?[X]:(~strong(X)))<=>((~tall(fred)<~>~happy(fred))))&
(![X]:((~funny(X)<~>old(X))<=>(~calm(X)&~strong(X))))&
(((~quiet(paul)<~>~calm(paul)))<=>((curious(john)|generous(john))))&
(![X]:(~old(X)=>(wise(X)&humble(X))))&
(![X]:(~strong(X)<=>(~old(X)<~>~humble(X))))&
... | calm(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 867966454653953954669832
% SZS output start Proof for 867966454653953954669832
1. ! [X0] : ((~funny(X0) & funny(X0)) <=> (~calm(X0) | ~humble(X0))) [input p0]
22. ~calm(fred) [input hypothesis]
31. ! [X0] : (((~funny(X0) & funny(X0)) | (calm(X0) & humble(X0))) & ((~calm(X0) | ~humble(X0))... | 0 |
Everyone who is either humble or old is creative or not tall.
Everyone who is either not calm or not happy is creative.
Everyone who is either strong or not funny is not strong.
Everyone who is both calm and not calm is both not funny and creative and vice versa.
Everyone who is not old or not calm is old or tall and v... | Lucy is not humble. | entailment | (![X]:((humble(X)<~>old(X))=>(creative(X)|~tall(X))))&
(![X]:((~calm(X)<~>~happy(X))=>creative(X)))&
(![X]:((strong(X)<~>~funny(X))=>~strong(X)))&
(![X]:((calm(X)&~calm(X))<=>(~funny(X)&creative(X))))&
(![X]:((~old(X)|~calm(X))<=>(old(X)|tall(X))))&
((?[X]:((old(X)|curious(X))))<=>(?[X]:(tall(X))))&
(((patient(mary)&~k... | ~humble(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 156326320768082849156850
% SZS output start Proof for 156326320768082849156850
11. ! [X0] : ((~humble(X0) & humble(X0)) <=> (~strong(X0) | humble(X0))) [input p10]
24. humble(lucy) [input hypothesis]
60. ! [X0] : (((~humble(X0) & humble(X0)) | (strong(X0) & ~humble(X0))) & ((~strong(X0) |... | 0 |
If someone is not strong or not humble then someone is not rich or not tall. Everyone who is both humble and tall is not humble or rich. Everyone who is not creative is not rich and vice versa. Everyone who is both old and not kind is wise and vice versa. If susan is both funny and not patient then fred is either not b... | Susan is not old. | entailment | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&~kind(X))<=>wise(X)))&
(((funny(susan)&~patient(susan)))<=>((~brave(fred)<~>~calm(fred))))&
((?[X]:((wise(X)<~>funny(X))))<=>((wise(john)|~patient(john))... | ~old(susan) | [
"p2",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6586058327095428219526876
% SZS output start Proof for 6586058327095428219526876
3. ! [X0] : (~creative(X0) <=> ~rich(X0)) [input p2]
13. ! [X0] : ((~creative(X0) | generous(X0)) <=> (generous(X0) & ~humble(X0))) [input p12]
15. ! [X0] : ((quiet(X0) & rich(X0)) <=> (~calm(X0) | ~humble(X0... | 0 |
If someone is patient or not kind then someone is both not generous and patient and vice versa.
Everyone who is brave is calm and vice versa.
If someone is not strong then someone is either generous or funny.
If someone is brave then susan is brave or happy.
If someone is not patient or not creative then mary is either... | Mary is not calm. | entailment | ((?[X]:((patient(X)|~kind(X))))<=>(?[X]:((~generous(X)&patient(X)))))&
(![X]:(brave(X)<=>calm(X)))&
((?[X]:(~strong(X)))=>(?[X]:((generous(X)<~>funny(X)))))&
((?[X]:(brave(X)))=>((brave(susan)|happy(susan))))&
((?[X]:((~patient(X)|~creative(X))))=>((~tall(mary)<~>~calm(mary))))&
(((creative(fred)&wise(fred)))=>(?[X]:((... | ~calm(mary) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5493816801598887127210564
% SZS output start Proof for 5493816801598887127210564
2. ! [X0] : (brave(X0) <=> calm(X0)) [input p1]
7. ! [X0] : (~brave(X0) <=> (~humble(X0) | brave(X0))) [input p6]
22. calm(mary) [input hypothesis]
47. ! [X0] : ((brave(X0) | ~calm(X0)) & (calm(X0) | ~brave(X... | 0 |
Everyone who is both not humble and quiet is either not humble or quiet and vice versa.
If someone is either humble or not happy then someone is old and vice versa.
If someone is both strong and not patient then paul is rich or not wise.
If someone is not happy then someone is happy or calm and vice versa.
Everyone who... | Fred is not strong. | entailment | (![X]:((~humble(X)&quiet(X))<=>(~humble(X)<~>quiet(X))))&
((?[X]:((humble(X)<~>~happy(X))))<=>(?[X]:(old(X))))&
((?[X]:((strong(X)&~patient(X))))=>((rich(paul)|~wise(paul))))&
((?[X]:(~happy(X)))<=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((funny(X)<~>calm(X))<=>(~funny(X)<~>wise(X))))&
((?[X]:((patient(X)&rich(X))))=>(?[X]... | ~strong(fred) | [
"p2",
"p4",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8095542705497032929127057
% SZS output start Proof for 8095542705497032929127057
3. ? [X0] : (~patient(X0) & strong(X0)) => (~wise(paul) | rich(paul)) [input p2]
5. ! [X0] : ((funny(X0) <~> calm(X0)) <=> (~funny(X0) <~> wise(X0))) [input p4]
11. (~rich(paul) & ~calm(paul)) <=> ~patient(lu... | 0 |
Everyone who is either not quiet or not creative is wise or generous.
Everyone who is both rich and happy is either happy or not happy.
Everyone who is not old is both not curious and old and vice versa.
Everyone who is patient is either kind or curious.
If someone is both strong and not kind then lucy is either not cr... | Fred is creative. | contradiction | (![X]:((~quiet(X)<~>~creative(X))=>(wise(X)|generous(X))))&
(![X]:((rich(X)&happy(X))=>(happy(X)<~>~happy(X))))&
(![X]:(~old(X)<=>(~curious(X)&old(X))))&
(![X]:(patient(X)=>(kind(X)<~>curious(X))))&
((?[X]:((strong(X)&~kind(X))))<=>((~creative(lucy)<~>quiet(lucy))))&
(![X]:((generous(X)&strong(X))<=>(creative(X)|wise(X... | creative(fred) | [
"p2",
"p4",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 814298457948210612539434
% SZS output start Proof for 814298457948210612539434
3. ! [X0] : (~old(X0) <=> (old(X0) & ~curious(X0))) [input p2]
5. ? [X0] : (~kind(X0) & strong(X0)) <=> (~creative(lucy) <~> quiet(lucy)) [input p4]
6. ! [X0] : ((strong(X0) & generous(X0)) <=> (wise(X0) | crea... | 0 |
Everyone who is both humble and not calm is old or not patient. If someone is strong then someone is both not old and not wise. Everyone who is not happy or not generous is not funny and vice versa. Everyone who is either rich or not quiet is happy or patient and vice versa. Everyone who is both not patient and quiet i... | Alice is not generous. | entailment | (![X]:((humble(X)&~calm(X))=>(old(X)|~patient(X))))&
((?[X]:(strong(X)))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((~happy(X)|~generous(X))<=>~funny(X)))&
(![X]:((rich(X)<~>~quiet(X))<=>(happy(X)|patient(X))))&
(![X]:((~patient(X)&quiet(X))<=>(~creative(X)|~strong(X))))&
(![X]:((~generous(X)<~>~funny(X))=>(generous(X)&~bra... | ~generous(alice) | [
"p1",
"p3",
"p6",
"p7",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2572305495433569285399724
% SZS output start Proof for 2572305495433569285399724
2. ? [X0] : strong(X0) => ? [X0] : (~wise(X0) & ~old(X0)) [input p1]
4. ! [X0] : ((rich(X0) <~> ~quiet(X0)) <=> (patient(X0) | happy(X0))) [input p3]
7. ! [X0] : ((~old(X0) <~> patient(X0)) <=> (happy(X0) & ~... | 0 |
If susan is either not quiet or brave then paul is patient or old and vice versa.
Everyone who is either not rich or not humble is not tall and vice versa.
If someone is curious or rich then someone is both not tall and happy.
If alice is old or not rich then fred is both not humble and kind and vice versa.
If someone ... | Alice is quiet. | contradiction | (((~quiet(susan)<~>brave(susan)))<=>((patient(paul)|old(paul))))&
(![X]:((~rich(X)<~>~humble(X))<=>~tall(X)))&
((?[X]:((curious(X)|rich(X))))=>(?[X]:((~tall(X)&happy(X)))))&
(((old(alice)|~rich(alice)))<=>((~humble(fred)&kind(fred))))&
((?[X]:(~rich(X)))<=>((calm(lucy)<~>~tall(lucy))))&
(![X]:(~funny(X)<=>(~humble(X)|~... | quiet(alice) | [
"p5",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1560014022131727722789117
% SZS output start Proof for 1560014022131727722789117
6. ! [X0] : (~funny(X0) <=> (~quiet(X0) | ~humble(X0))) [input p5]
10. ! [X0] : ((~curious(X0) | brave(X0)) <=> (~rich(X0) & ~quiet(X0))) [input p9]
11. ! [X0] : ((~quiet(X0) & ~tall(X0)) <=> happy(X0)) [inpu... | 0 |
Everyone who is both creative and not kind is not kind.
Everyone who is either not patient or not curious is wise or funny.
Everyone who is both not kind and rich is either not rich or wise.
If someone is not calm or generous then someone is not strong or rich and vice versa.
If someone is either creative or happy then... | Mary is not generous. | contradiction | (![X]:((creative(X)&~kind(X))=>~kind(X)))&
(![X]:((~patient(X)<~>~curious(X))=>(wise(X)|funny(X))))&
(![X]:((~kind(X)&rich(X))=>(~rich(X)<~>wise(X))))&
((?[X]:((~calm(X)|generous(X))))<=>(?[X]:((~strong(X)|rich(X)))))&
((?[X]:((creative(X)<~>happy(X))))<=>(~patient(mary)))&
(![X]:((calm(X)&~kind(X))<=>kind(X)))&
((?[X]... | ~generous(mary) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 11533884773722018258782
% SZS output start Proof for 11533884773722018258782
6. ! [X0] : ((~kind(X0) & calm(X0)) <=> kind(X0)) [input p5]
9. ! [X0] : ((~funny(X0) & generous(X0)) <=> (old(X0) | ~calm(X0))) [input p8]
25. ~generous(mary) [input hypothesis]
54. ! [X0] : (((~kind(X0) & calm(... | 0 |
Everyone who is tall is not patient.
Everyone who is not old is humble and vice versa.
If someone is not tall then someone is either not happy or wise and vice versa.
Everyone who is either not happy or not funny is not patient.
If someone is brave then paul is tall or wise.
Everyone who is both not kind and wise is bo... | Alice is not tall. | entailment | (![X]:(tall(X)=>~patient(X)))&
(![X]:(~old(X)<=>humble(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((~happy(X)<~>wise(X)))))&
(![X]:((~happy(X)<~>~funny(X))=>~patient(X)))&
((?[X]:(brave(X)))=>((tall(paul)|wise(paul))))&
(![X]:((~kind(X)&wise(X))<=>(quiet(X)&humble(X))))&
(![X]:((~quiet(X)&quiet(X))<=>(~humble(X)|kind(X))))&
((?[... | ~tall(alice) | [
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4973870942490446563794015
% SZS output start Proof for 4973870942490446563794015
14. ! [X0] : (rich(X0) <=> (old(X0) | tall(X0))) [input p13]
22. ~rich(alice) & generous(alice) [input p21]
25. tall(alice) [input hypothesis]
57. ! [X0] : ((rich(X0) | (~old(X0) & ~tall(X0))) & ((old(X0) | t... | 0 |
If someone is both not generous and not rich then alice is both not brave and not wise and vice versa.
Everyone who is either not strong or not kind is both not brave and brave.
Everyone who is either wise or strong is either rich or humble and vice versa.
Everyone who is both not kind and not old is not patient and vi... | Fred is curious. | contradiction | ((?[X]:((~generous(X)&~rich(X))))<=>((~brave(alice)&~wise(alice))))&
(![X]:((~strong(X)<~>~kind(X))=>(~brave(X)&brave(X))))&
(![X]:((wise(X)<~>strong(X))<=>(rich(X)<~>humble(X))))&
(![X]:((~kind(X)&~old(X))<=>~patient(X)))&
(((~strong(fred)|calm(fred)))<=>((~curious(john)|rich(john))))&
(((strong(susan)<~>old(susan)))<... | curious(fred) | [
"p1",
"p3",
"p7",
"p8",
"p9",
"p12",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1155657133005129648620529
% SZS output start Proof for 1155657133005129648620529
2. ! [X0] : ((~strong(X0) <~> ~kind(X0)) => (brave(X0) & ~brave(X0))) [input p1]
4. ! [X0] : ((~old(X0) & ~kind(X0)) <=> ~patient(X0)) [input p3]
8. ! [X0] : ((strong(X0) & calm(X0)) <=> ~patient(X0)) [input ... | 0 |
If lucy is not rich then susan is happy or not creative.
Everyone who is funny or calm is both wise and happy and vice versa.
If someone is either curious or not humble then susan is both not happy and happy.
Everyone who is both humble and not brave is creative or brave.
If mary is not wise then someone is not old and... | Mary is not calm. | entailment | ((~rich(lucy))=>((happy(susan)|~creative(susan))))&
(![X]:((funny(X)|calm(X))<=>(wise(X)&happy(X))))&
((?[X]:((curious(X)<~>~humble(X))))=>((~happy(susan)&happy(susan))))&
(![X]:((humble(X)&~brave(X))=>(creative(X)|brave(X))))&
((~wise(mary))<=>(?[X]:(~old(X))))&
(![X]:((wise(X)<~>~strong(X))<=>(~curious(X)|curious(X))... | ~calm(mary) | [
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1059182518343421135794260
% SZS output start Proof for 1059182518343421135794260
14. ? [X0] : kind(X0) <=> ~calm(mary) [input p13]
19. kind(lucy) [input p18]
23. calm(mary) [input hypothesis]
58. (? [X0] : kind(X0) | calm(mary)) & (~calm(mary) | ! [X0] : ~kind(X0)) [nnf transformation 14]... | 0 |
If mary is both not wise and strong then mary is not creative.
Everyone who is strong is generous or strong and vice versa.
If susan is both creative and not humble then lucy is both strong and patient.
If mary is not kind then fred is both generous and not patient.
Everyone who is both calm and quiet is not tall or ri... | Fred is not curious. | neutral | (((~wise(mary)&strong(mary)))=>(~creative(mary)))&
(![X]:(strong(X)<=>(generous(X)|strong(X))))&
(((creative(susan)&~humble(susan)))=>((strong(lucy)&patient(lucy))))&
((~kind(mary))=>((generous(fred)&~patient(fred))))&
(![X]:((calm(X)&quiet(X))<=>(~tall(X)|rich(X))))&
((~humble(john))=>((~rich(fred)|~creative(fred))))&... | ~curious(fred) | [] | null | 0 |
If someone is either kind or not quiet then someone is both kind and generous and vice versa.
Everyone who is not rich is not happy or quiet.
Everyone who is not brave is either not quiet or not patient and vice versa.
If someone is generous then john is both not humble and generous.
Everyone who is not creative is not... | Fred is not quiet. | neutral | ((?[X]:((kind(X)<~>~quiet(X))))<=>(?[X]:((kind(X)&generous(X)))))&
(![X]:(~rich(X)=>(~happy(X)|quiet(X))))&
(![X]:(~brave(X)<=>(~quiet(X)<~>~patient(X))))&
((?[X]:(generous(X)))=>((~humble(john)&generous(john))))&
(![X]:(~creative(X)<=>(~tall(X)|strong(X))))&
(![X]:((tall(X)|~happy(X))=>(~strong(X)|~tall(X))))&
(![X]:(... | ~quiet(fred) | [] | null | 0 |
If someone is wise then john is either not patient or humble and vice versa. Everyone who is both strong and quiet is either humble or patient. Everyone who is not old or generous is both not generous and not calm. Everyone who is both not rich and not kind is both funny and not old and vice versa. If someone is either... | Alice is not funny. | neutral | ((?[X]:(wise(X)))<=>((~patient(john)<~>humble(john))))&
(![X]:((strong(X)&quiet(X))=>(humble(X)<~>patient(X))))&
(![X]:((~old(X)|generous(X))=>(~generous(X)&~calm(X))))&
(![X]:((~rich(X)&~kind(X))<=>(funny(X)&~old(X))))&
((?[X]:((kind(X)<~>funny(X))))<=>((tall(susan)<~>~humble(susan))))&
(![X]:((kind(X)|~happy(X))=>bra... | ~funny(alice) | [] | null | 0 |
If mary is either not generous or humble then someone is not humble and vice versa.
If mary is both funny and generous then someone is wise or not strong.
If susan is not strong or not quiet then someone is not rich or curious.
Everyone who is wise is both not wise and not old and vice versa.
Everyone who is either not... | Mary is not rich. | contradiction | (((~generous(mary)<~>humble(mary)))<=>(?[X]:(~humble(X))))&
(((funny(mary)&generous(mary)))=>(?[X]:((wise(X)|~strong(X)))))&
(((~strong(susan)|~quiet(susan)))=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:(wise(X)<=>(~wise(X)&~old(X))))&
(![X]:((~curious(X)<~>~happy(X))=>(wise(X)&~funny(X))))&
((?[X]:((creative(X)&brave(X)))... | ~rich(mary) | [
"p3",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 111015945282823366296642
% SZS output start Proof for 111015945282823366296642
4. ! [X0] : (wise(X0) <=> (~old(X0) & ~wise(X0))) [input p3]
10. ! [X0] : ((~curious(X0) & brave(X0)) <=> curious(X0)) [input p9]
13. ! [X0] : ((rich(X0) <~> ~curious(X0)) <=> (wise(X0) & brave(X0))) [input p12... | 0 |
Everyone who is not happy or quiet is either not curious or not brave. If paul is brave or not strong then someone is quiet or happy. Everyone who is both strong and not old is funny and vice versa. Everyone who is both not happy and strong is either not humble or humble. Everyone who is not rich is strong or not brave... | Alice is creative. | neutral | (![X]:((~happy(X)|quiet(X))=>(~curious(X)<~>~brave(X))))&
(((brave(paul)|~strong(paul)))=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:((strong(X)&~old(X))<=>funny(X)))&
(![X]:((~happy(X)&strong(X))=>(~humble(X)<~>humble(X))))&
(![X]:(~rich(X)=>(strong(X)|~brave(X))))&
(![X]:(kind(X)<=>~funny(X)))&
((quiet(fred))<=>((~funny(al... | creative(alice) | [] | null | 0 |
If someone is kind then lucy is either not strong or creative. If someone is either not strong or not brave then john is not wise or not creative and vice versa. If someone is generous or happy then someone is both not strong and curious. Everyone who is curious is not wise and vice versa. Everyone who is not wise is b... | John is not tall. | contradiction | ((?[X]:(kind(X)))=>((~strong(lucy)<~>creative(lucy))))&
((?[X]:((~strong(X)<~>~brave(X))))<=>((~wise(john)|~creative(john))))&
((?[X]:((generous(X)|happy(X))))=>(?[X]:((~strong(X)&curious(X)))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:(~wise(X)=>(~quiet(X)&~curious(X))))&
(![X]:((kind(X)|~creative(X))<=>(humble(X)|~calm... | ~tall(john) | [
"p3",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1856693756050847657450027
% SZS output start Proof for 1856693756050847657450027
4. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p3]
5. ! [X0] : (~wise(X0) => (~curious(X0) & ~quiet(X0))) [input p4]
14. ! [X0] : (~curious(X0) <=> tall(X0)) [input p13]
22. ~tall(john) [input hypothesis]
29.... | 0 |
If someone is not kind then john is either kind or brave and vice versa. If paul is both generous and not quiet then someone is both not happy and wise and vice versa. If susan is either kind or tall then lucy is either rich or generous. Everyone who is quiet is both not generous and calm. If someone is either not old ... | Fred is not kind. | neutral | ((?[X]:(~kind(X)))<=>((kind(john)<~>brave(john))))&
(((generous(paul)&~quiet(paul)))<=>(?[X]:((~happy(X)&wise(X)))))&
(((kind(susan)<~>tall(susan)))=>((rich(lucy)<~>generous(lucy))))&
(![X]:(quiet(X)=>(~generous(X)&calm(X))))&
((?[X]:((~old(X)<~>happy(X))))<=>((~calm(mary)&generous(mary))))&
(![X]:((quiet(X)<~>~funny(X... | ~kind(fred) | [] | null | 0 |
If someone is both not wise and not tall then paul is tall.
If susan is not rich then someone is not creative or not kind and vice versa.
If susan is brave or tall then someone is both not quiet and patient and vice versa.
Everyone who is kind is either brave or tall.
Everyone who is either patient or not strong is hap... | Mary is not strong. | entailment | ((?[X]:((~wise(X)&~tall(X))))=>(tall(paul)))&
((~rich(susan))<=>(?[X]:((~creative(X)|~kind(X)))))&
(((brave(susan)|tall(susan)))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(kind(X)=>(brave(X)<~>tall(X))))&
(![X]:((patient(X)<~>~strong(X))<=>happy(X)))&
((~generous(susan))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((happ... | ~strong(mary) | [
"p4",
"p6",
"p8",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1772121448994735429940262
% SZS output start Proof for 1772121448994735429940262
5. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> happy(X0)) [input p4]
7. ! [X0] : ((happy(X0) <~> wise(X0)) => (~calm(X0) & tall(X0))) [input p6]
9. ! [X0] : ((strong(X0) | wise(X0)) <=> (~patient(X0) & calm(X... | 0 |
Everyone who is not funny is either quiet or not quiet and vice versa.
If susan is not humble then alice is either patient or tall.
Everyone who is old is both not kind and not rich.
Everyone who is both generous and not happy is either funny or not calm.
If someone is old then someone is not patient or funny.
If susan... | Alice is patient. | neutral | (![X]:(~funny(X)<=>(quiet(X)<~>~quiet(X))))&
((~humble(susan))=>((patient(alice)<~>tall(alice))))&
(![X]:(old(X)=>(~kind(X)&~rich(X))))&
(![X]:((generous(X)&~happy(X))=>(funny(X)<~>~calm(X))))&
((?[X]:(old(X)))=>(?[X]:((~patient(X)|funny(X)))))&
(((~rich(susan)<~>~quiet(susan)))=>(~kind(fred)))&
((?[X]:(brave(X)))<=>(?... | patient(alice) | [] | null | 0 |
Everyone who is both rich and creative is both calm and not calm.
Everyone who is brave or not rich is both creative and not wise and vice versa.
If someone is humble then susan is either not rich or patient.
Everyone who is both not tall and not funny is brave or patient.
Everyone who is either not happy or happy is n... | Mary is not patient. | neutral | (![X]:((rich(X)&creative(X))=>(calm(X)&~calm(X))))&
(![X]:((brave(X)|~rich(X))<=>(creative(X)&~wise(X))))&
((?[X]:(humble(X)))=>((~rich(susan)<~>patient(susan))))&
(![X]:((~tall(X)&~funny(X))=>(brave(X)|patient(X))))&
(![X]:((~happy(X)<~>happy(X))<=>(~generous(X)|tall(X))))&
(![X]:((creative(X)&kind(X))=>(~quiet(X)|qui... | ~patient(mary) | [] | null | 0 |
Everyone who is both not creative and not funny is kind and vice versa. Everyone who is both patient and curious is not tall. Everyone who is brave or humble is not strong and vice versa. If susan is both not humble and brave then someone is both happy and not generous and vice versa. Everyone who is both quiet and not... | Susan is patient. | neutral | (![X]:((~creative(X)&~funny(X))<=>kind(X)))&
(![X]:((patient(X)&curious(X))=>~tall(X)))&
(![X]:((brave(X)|humble(X))<=>~strong(X)))&
(((~humble(susan)&brave(susan)))<=>(?[X]:((happy(X)&~generous(X)))))&
(![X]:((quiet(X)&~quiet(X))<=>(~old(X)|~calm(X))))&
((calm(susan))<=>(kind(fred)))&
(![X]:((wise(X)|~curious(X))=>(st... | patient(susan) | [] | null | 0 |
Everyone who is both humble and not humble is either kind or not funny and vice versa. Everyone who is either not generous or not calm is not kind or creative and vice versa. Everyone who is either not creative or not old is happy or patient. If someone is both wise and not patient then john is either not strong or ric... | John is funny. | entailment | (![X]:((humble(X)&~humble(X))<=>(kind(X)<~>~funny(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>(~kind(X)|creative(X))))&
(![X]:((~creative(X)<~>~old(X))=>(happy(X)|patient(X))))&
((?[X]:((wise(X)&~patient(X))))<=>((~strong(john)<~>rich(john))))&
(((~curious(lucy)|funny(lucy)))<=>(?[X]:((~old(X)<~>patient(X)))))&
(((kind(s... | funny(john) | [
"p0",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 947297460101840437648680
% SZS output start Proof for 947297460101840437648680
1. ! [X0] : ((~humble(X0) & humble(X0)) <=> (kind(X0) <~> ~funny(X0))) [input p0]
9. ! [X0] : ((patient(X0) | ~kind(X0)) <=> ~old(X0)) [input p8]
13. ! [X0] : ((old(X0) | creative(X0)) => (~old(X0) & calm(X0)))... | 0 |
If someone is either not happy or funny then mary is not quiet or not kind and vice versa.
Everyone who is either funny or not kind is not old or funny and vice versa.
Everyone who is either not tall or not old is not curious.
If susan is generous or not tall then lucy is both quiet and not tall.
If susan is not rich t... | Mary is not strong. | neutral | ((?[X]:((~happy(X)<~>funny(X))))<=>((~quiet(mary)|~kind(mary))))&
(![X]:((funny(X)<~>~kind(X))<=>(~old(X)|funny(X))))&
(![X]:((~tall(X)<~>~old(X))=>~curious(X)))&
(((generous(susan)|~tall(susan)))=>((quiet(lucy)&~tall(lucy))))&
((~rich(susan))<=>((~rich(alice)|~curious(alice))))&
(![X]:(~strong(X)=>~old(X)))&
(![X]:(~q... | ~strong(mary) | [] | null | 0 |
Everyone who is quiet is either not kind or humble. Everyone who is not funny is both not rich and curious. Everyone who is both happy and not creative is not happy and vice versa. If someone is either not old or creative then someone is both old and not old. Everyone who is both creative and funny is curious. Everyone... | John is not curious. | contradiction | (![X]:(quiet(X)=>(~kind(X)<~>humble(X))))&
(![X]:(~funny(X)=>(~rich(X)&curious(X))))&
(![X]:((happy(X)&~creative(X))<=>~happy(X)))&
((?[X]:((~old(X)<~>creative(X))))=>(?[X]:((old(X)&~old(X)))))&
(![X]:((creative(X)&funny(X))=>curious(X)))&
(![X]:((tall(X)<~>~curious(X))<=>(generous(X)&~strong(X))))&
(((~curious(lucy)|~... | ~curious(john) | [
"p1",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3021279097854782180504511
% SZS output start Proof for 3021279097854782180504511
2. ! [X0] : (~funny(X0) => (curious(X0) & ~rich(X0))) [input p1]
3. ! [X0] : ((~creative(X0) & happy(X0)) <=> ~happy(X0)) [input p2]
5. ! [X0] : ((funny(X0) & creative(X0)) => curious(X0)) [input p4]
20. ~cur... | 0 |
If someone is generous or quiet then someone is not patient or calm and vice versa.
If someone is quiet or not happy then lucy is either wise or kind.
If someone is not wise then someone is not funny or not strong.
If fred is either creative or rich then lucy is both not wise and not generous.
If paul is not patient or... | Paul is quiet. | entailment | ((?[X]:((generous(X)|quiet(X))))<=>(?[X]:((~patient(X)|calm(X)))))&
((?[X]:((quiet(X)|~happy(X))))=>((wise(lucy)<~>kind(lucy))))&
((?[X]:(~wise(X)))=>(?[X]:((~funny(X)|~strong(X)))))&
(((creative(fred)<~>rich(fred)))=>((~wise(lucy)&~generous(lucy))))&
(((~patient(paul)|rich(paul)))<=>(?[X]:((patient(X)&~generous(X)))))... | quiet(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8919671863514429758321426
% SZS output start Proof for 8919671863514429758321426
23. quiet(paul) [input p22]
25. ~quiet(paul) [input hypothesis]
134. quiet(paul) [cnf transformation 23]
136. ~quiet(paul) [cnf transformation 25]
377. $false [subsumption resolution 136,134]
% SZS output end... | 0 |
If someone is creative or quiet then someone is not humble and vice versa. Everyone who is not kind or not generous is happy and vice versa. If lucy is both not old and creative then john is both not generous and not patient and vice versa. If alice is humble or old then lucy is patient and vice versa. If someone is bo... | Lucy is curious. | neutral | ((?[X]:((creative(X)|quiet(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~kind(X)|~generous(X))<=>happy(X)))&
(((~old(lucy)&creative(lucy)))<=>((~generous(john)&~patient(john))))&
(((humble(alice)|old(alice)))<=>(patient(lucy)))&
((?[X]:((~old(X)&happy(X))))=>(?[X]:((~generous(X)|~kind(X)))))&
((?[X]:((brave(X)<~>rich(X))))<=>... | curious(lucy) | [] | null | 0 |
If lucy is wise or happy then paul is both patient and humble.
Everyone who is both not creative and brave is quiet or wise.
Everyone who is either old or not kind is both patient and humble and vice versa.
Everyone who is not calm or strong is not quiet and vice versa.
If someone is old then alice is either wise or no... | Alice is tall. | neutral | (((wise(lucy)|happy(lucy)))=>((patient(paul)&humble(paul))))&
(![X]:((~creative(X)&brave(X))=>(quiet(X)|wise(X))))&
(![X]:((old(X)<~>~kind(X))<=>(patient(X)&humble(X))))&
(![X]:((~calm(X)|strong(X))<=>~quiet(X)))&
((?[X]:(old(X)))<=>((wise(alice)<~>~calm(alice))))&
(![X]:(patient(X)<=>(brave(X)&~generous(X))))&
(![X]:(... | tall(alice) | [] | null | 0 |
If someone is both humble and generous then mary is both brave and not quiet and vice versa. Everyone who is not strong is not wise and vice versa. Everyone who is not quiet or not happy is both creative and not funny. If someone is both quiet and not patient then fred is not humble. Everyone who is both creative and t... | Lucy is kind. | entailment | ((?[X]:((humble(X)&generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((generous(X)|~quiet(X))=>(~patient(X)&wise(X))))&
... | kind(lucy) | [
"p1",
"p4",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8813586630915487169267132
% SZS output start Proof for 8813586630915487169267132
2. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p1]
5. ! [X0] : ((tall(X0) & creative(X0)) <=> (~happy(X0) | ~kind(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input... | 0 |
Everyone who is funny is rich or calm and vice versa.
If mary is both quiet and not tall then someone is kind and vice versa.
Everyone who is creative is not tall or not rich and vice versa.
If mary is quiet or funny then john is creative.
If fred is curious or not kind then someone is both not old and kind.
If someone... | Fred is not wise. | neutral | (![X]:(funny(X)<=>(rich(X)|calm(X))))&
(((quiet(mary)&~tall(mary)))<=>(?[X]:(kind(X))))&
(![X]:(creative(X)<=>(~tall(X)|~rich(X))))&
(((quiet(mary)|funny(mary)))=>(creative(john)))&
(((curious(fred)|~kind(fred)))=>(?[X]:((~old(X)&kind(X)))))&
((?[X]:((calm(X)|generous(X))))<=>((rich(alice)<~>~brave(alice))))&
(![X]:((q... | ~wise(fred) | [] | null | 0 |
If paul is not wise or not rich then susan is not tall or funny and vice versa.
Everyone who is either rich or not creative is both not tall and kind and vice versa.
Everyone who is both tall and generous is curious.
If someone is either not calm or strong then someone is not patient and vice versa.
If someone is not p... | John is not curious. | neutral | (((~wise(paul)|~rich(paul)))<=>((~tall(susan)|funny(susan))))&
(![X]:((rich(X)<~>~creative(X))<=>(~tall(X)&kind(X))))&
(![X]:((tall(X)&generous(X))=>curious(X)))&
((?[X]:((~calm(X)<~>strong(X))))<=>(?[X]:(~patient(X))))&
((?[X]:((~patient(X)|~happy(X))))<=>((~humble(susan)|funny(susan))))&
(![X]:((~strong(X)&~old(X))=>... | ~curious(john) | [] | null | 0 |
Everyone who is either not strong or wise is patient and vice versa. Everyone who is creative or not old is funny. If alice is either tall or not generous then someone is not strong or generous and vice versa. Everyone who is not quiet is both not curious and brave and vice versa. If alice is strong then fred is not ca... | Alice is funny. | entailment | (![X]:((~strong(X)<~>wise(X))<=>patient(X)))&
(![X]:((creative(X)|~old(X))=>funny(X)))&
(((tall(alice)<~>~generous(alice)))<=>(?[X]:((~strong(X)|generous(X)))))&
(![X]:(~quiet(X)<=>(~curious(X)&brave(X))))&
((strong(alice))<=>((~calm(fred)|~kind(fred))))&
(((~wise(fred)&curious(fred)))<=>((~brave(susan)&~happy(susan)))... | funny(alice) | [
"p0",
"p1",
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1477427730331876646165937
% SZS output start Proof for 1477427730331876646165937
1. ! [X0] : ((~strong(X0) <~> wise(X0)) <=> patient(X0)) [input p0]
2. ! [X0] : ((~old(X0) | creative(X0)) => funny(X0)) [input p1]
8. ! [X0] : ((~quiet(X0) | wise(X0)) => (creative(X0) & ~rich(X0))) [input p... | 0 |
Everyone who is not brave or curious is both not rich and rich and vice versa.
If someone is both not patient and strong then someone is either not wise or patient.
If mary is curious then fred is both quiet and not creative and vice versa.
Everyone who is both creative and not quiet is not humble.
Everyone who is not ... | John is not strong. | entailment | (![X]:((~brave(X)|curious(X))<=>(~rich(X)&rich(X))))&
((?[X]:((~patient(X)&strong(X))))=>(?[X]:((~wise(X)<~>patient(X)))))&
((curious(mary))<=>((quiet(fred)&~creative(fred))))&
(![X]:((creative(X)&~quiet(X))=>~humble(X)))&
(![X]:((~old(X)|~brave(X))<=>~tall(X)))&
((?[X]:(~brave(X)))=>((~creative(john)|wise(john))))&
(!... | ~strong(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9217307883683859346299812
% SZS output start Proof for 9217307883683859346299812
12. ! [X0] : ((funny(X0) | ~strong(X0)) <=> (~strong(X0) | ~funny(X0))) [input p11]
23. strong(john) [input hypothesis]
58. ! [X0] : (((funny(X0) | ~strong(X0)) | (strong(X0) & funny(X0))) & ((~strong(X0) | ~... | 0 |
If mary is wise or not quiet then someone is both funny and not happy.
If someone is either wise or tall then mary is not creative or curious and vice versa.
If someone is not patient then someone is either kind or generous.
If someone is rich then john is either rich or not strong.
If someone is not tall or funny then... | John is not curious. | contradiction | (((wise(mary)|~quiet(mary)))=>(?[X]:((funny(X)&~happy(X)))))&
((?[X]:((wise(X)<~>tall(X))))<=>((~creative(mary)|curious(mary))))&
((?[X]:(~patient(X)))=>(?[X]:((kind(X)<~>generous(X)))))&
((?[X]:(rich(X)))=>((rich(john)<~>~strong(john))))&
((?[X]:((~tall(X)|funny(X))))=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((~tall(X)<~>~... | ~curious(john) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 820352894393930926392924
% SZS output start Proof for 820352894393930926392924
12. ! [X0] : ((~patient(X0) & curious(X0)) <=> ~brave(X0)) [input p11]
13. ? [X0] : (patient(X0) | ~patient(X0)) <=> ~brave(john) [input p12]
25. ~curious(john) [input hypothesis]
67. ! [X0] : (((~patient(X0) &... | 0 |
Everyone who is either quiet or brave is both not wise and brave.
If fred is tall then paul is not brave or not tall.
Everyone who is not quiet or not wise is funny.
If alice is quiet or not humble then someone is happy and vice versa.
Everyone who is not calm or strong is both not creative and not happy and vice versa... | Lucy is not curious. | contradiction | (![X]:((quiet(X)<~>brave(X))=>(~wise(X)&brave(X))))&
((tall(fred))=>((~brave(paul)|~tall(paul))))&
(![X]:((~quiet(X)|~wise(X))=>funny(X)))&
(((quiet(alice)|~humble(alice)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)|strong(X))<=>(~creative(X)&~happy(X))))&
((?[X]:((humble(X)|~calm(X))))=>(?[X]:((generous(X)&~humble(X)))))&... | ~curious(lucy) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 935831185282578790526996
% SZS output start Proof for 935831185282578790526996
7. ! [X0] : ((~strong(X0) <~> ~curious(X0)) <=> tall(X0)) [input p6]
13. ! [X0] : (tall(X0) <=> ~strong(X0)) [input p12]
23. ~curious(lucy) [input hypothesis]
52. ! [X0] : ((((curious(X0) | strong(X0)) & (~curi... | 0 |
Everyone who is either tall or happy is both not strong and not happy and vice versa.
If someone is not funny then fred is both not strong and not rich.
If someone is happy or not funny then susan is wise or calm.
Everyone who is funny or not curious is both not creative and kind.
Everyone who is funny or curious is bo... | John is not kind. | contradiction | (![X]:((tall(X)<~>happy(X))<=>(~strong(X)&~happy(X))))&
((?[X]:(~funny(X)))=>((~strong(fred)&~rich(fred))))&
((?[X]:((happy(X)|~funny(X))))=>((wise(susan)|calm(susan))))&
(![X]:((funny(X)|~curious(X))=>(~creative(X)&kind(X))))&
(![X]:((funny(X)|curious(X))<=>(~strong(X)&~wise(X))))&
(((wise(lucy)&calm(lucy)))<=>(strong... | ~kind(john) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8037753750978856169968007
% SZS output start Proof for 8037753750978856169968007
4. ! [X0] : ((~curious(X0) | funny(X0)) => (kind(X0) & ~creative(X0))) [input p3]
7. ! [X0] : ((~old(X0) & ~funny(X0)) <=> (curious(X0) <~> ~old(X0))) [input p6]
22. ~kind(john) [input hypothesis]
30. ! [X0] ... | 0 |
Everyone who is humble is curious and vice versa.
Everyone who is not curious or wise is both not creative and not calm.
If mary is either patient or not quiet then lucy is generous or not brave and vice versa.
Everyone who is either calm or quiet is not curious and vice versa.
Everyone who is not rich is old.
Everyone... | Mary is quiet. | entailment | (![X]:(humble(X)<=>curious(X)))&
(![X]:((~curious(X)|wise(X))=>(~creative(X)&~calm(X))))&
(((patient(mary)<~>~quiet(mary)))<=>((generous(lucy)|~brave(lucy))))&
(![X]:((calm(X)<~>quiet(X))<=>~curious(X)))&
(![X]:(~rich(X)=>old(X)))&
(![X]:((~quiet(X)|~strong(X))<=>(~patient(X)&~curious(X))))&
(((humble(lucy)<~>~humble(l... | quiet(mary) | [
"p1",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 605850034661276064440738
% SZS output start Proof for 605850034661276064440738
2. ! [X0] : ((wise(X0) | ~curious(X0)) => (~calm(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((calm(X0) <~> quiet(X0)) <=> ~curious(X0)) [input p3]
6. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> (~curious(X0) & ~... | 0 |
If someone is not humble then mary is both not rich and calm and vice versa. If someone is not brave or kind then lucy is both not kind and not strong and vice versa. Everyone who is rich or not funny is either patient or not rich. If lucy is not curious then someone is both happy and calm. Everyone who is both calm an... | John is not tall. | entailment | ((?[X]:(~humble(X)))<=>((~rich(mary)&calm(mary))))&
((?[X]:((~brave(X)|kind(X))))<=>((~kind(lucy)&~strong(lucy))))&
(![X]:((rich(X)|~funny(X))=>(patient(X)<~>~rich(X))))&
((~curious(lucy))=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((calm(X)&~happy(X))=>(~wise(X)<~>tall(X))))&
(![X]:((old(X)|~tall(X))<=>~funny(X)))&
(![X]:(~... | ~tall(john) | [
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5287996378986067121891357
% SZS output start Proof for 5287996378986067121891357
7. ! [X0] : (~patient(X0) <=> (brave(X0) | tall(X0))) [input p6]
22. ~humble(john) & patient(john) [input p21]
25. tall(john) [input hypothesis]
54. ! [X0] : ((~patient(X0) | (~brave(X0) & ~tall(X0))) & ((bra... | 0 |
Everyone who is either not funny or not quiet is humble and vice versa.
Everyone who is both not tall and strong is either calm or kind.
If someone is both not calm and patient then someone is not calm and vice versa.
If someone is not quiet then someone is either not generous or rich and vice versa.
If john is both br... | Alice is strong. | entailment | (![X]:((~funny(X)<~>~quiet(X))<=>humble(X)))&
(![X]:((~tall(X)&strong(X))=>(calm(X)<~>kind(X))))&
((?[X]:((~calm(X)&patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~generous(X)<~>rich(X)))))&
(((brave(john)&kind(john)))=>((patient(paul)|~curious(paul))))&
((?[X]:((~tall(X)|~strong(X))))<=>(humble(john... | strong(alice) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2055862823530605157790792
% SZS output start Proof for 2055862823530605157790792
6. ? [X0] : (~strong(X0) | ~tall(X0)) <=> humble(john) [input p5]
11. ? [X0] : humble(X0) => ~humble(john) [input p10]
22. ~strong(alice) [input hypothesis]
31. ~humble(john) | ! [X0] : ~humble(X0) [ennf tran... | 0 |
Everyone who is either not old or not tall is both not strong and old and vice versa.
If someone is not funny then john is both not strong and not funny.
Everyone who is both not curious and kind is calm and vice versa.
If someone is not tall or not patient then someone is not kind.
Everyone who is both not kind and no... | John is calm. | contradiction | (![X]:((~old(X)<~>~tall(X))<=>(~strong(X)&old(X))))&
((?[X]:(~funny(X)))=>((~strong(john)&~funny(john))))&
(![X]:((~curious(X)&kind(X))<=>calm(X)))&
((?[X]:((~tall(X)|~patient(X))))=>(?[X]:(~kind(X))))&
(![X]:((~kind(X)&~patient(X))<=>quiet(X)))&
((?[X]:((~strong(X)&~tall(X))))<=>((~patient(paul)|curious(paul))))&
((?[... | calm(john) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3061227475504307867311347
% SZS output start Proof for 3061227475504307867311347
3. ! [X0] : ((kind(X0) & ~curious(X0)) <=> calm(X0)) [input p2]
11. ! [X0] : (~curious(X0) <=> (curious(X0) & ~curious(X0))) [input p10]
25. calm(john) [input hypothesis]
28. ! [X0] : (calm(X0) => (kind(X0) &... | 0 |
If someone is either tall or old then mary is either not brave or not patient and vice versa.
Everyone who is calm or not humble is calm and vice versa.
Everyone who is not patient or curious is both strong and not tall and vice versa.
Everyone who is either not humble or not tall is not rich and vice versa.
Everyone w... | Susan is not rich. | entailment | ((?[X]:((tall(X)<~>old(X))))<=>((~brave(mary)<~>~patient(mary))))&
(![X]:((calm(X)|~humble(X))<=>calm(X)))&
(![X]:((~patient(X)|curious(X))<=>(strong(X)&~tall(X))))&
(![X]:((~humble(X)<~>~tall(X))<=>~rich(X)))&
(![X]:((~strong(X)&~calm(X))<=>(curious(X)<~>~tall(X))))&
(![X]:((~quiet(X)<~>~curious(X))<=>(~tall(X)&~gener... | ~rich(susan) | [
"p1",
"p3",
"p9",
"p10",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6049596919209352685159071
% SZS output start Proof for 6049596919209352685159071
2. ! [X0] : ((~humble(X0) | calm(X0)) <=> calm(X0)) [input p1]
4. ! [X0] : ((~humble(X0) <~> ~tall(X0)) <=> ~rich(X0)) [input p3]
10. (~humble(susan) & rich(susan)) => creative(susan) [input p9]
11. ! [X0] : ... | 0 |
If alice is either not happy or not humble then alice is not wise or humble.
Everyone who is either quiet or not happy is either not rich or not creative and vice versa.
If john is kind then fred is calm.
Everyone who is both not humble and not rich is either not patient or not old.
Everyone who is not wise or not kind... | John is funny. | entailment | (((~happy(alice)<~>~humble(alice)))=>((~wise(alice)|humble(alice))))&
(![X]:((quiet(X)<~>~happy(X))<=>(~rich(X)<~>~creative(X))))&
((kind(john))=>(calm(fred)))&
(![X]:((~humble(X)&~rich(X))=>(~patient(X)<~>~old(X))))&
(![X]:((~wise(X)|~kind(X))=>humble(X)))&
(![X]:((~creative(X)<~>~curious(X))=>~generous(X)))&
((brave(... | funny(john) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8490185782572975112339553
% SZS output start Proof for 8490185782572975112339553
10. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> happy(X0)) [input p9]
15. ! [X0] : (~happy(X0) <=> (funny(X0) <~> ~brave(X0))) [input p14]
23. ~funny(john) [input hypothesis]
49. ! [X0] : (((~brave(X0) | ~happy(X... | 0 |
If someone is either old or brave then someone is both tall and funny. Everyone who is happy or patient is kind or not old and vice versa. Everyone who is either not wise or brave is not humble and vice versa. If mary is old or not kind then someone is funny. If someone is not happy then lucy is either not funny or not... | Fred is not funny. | entailment | ((?[X]:((old(X)<~>brave(X))))=>(?[X]:((tall(X)&funny(X)))))&
(![X]:((happy(X)|patient(X))<=>(kind(X)|~old(X))))&
(![X]:((~wise(X)<~>brave(X))<=>~humble(X)))&
(((old(mary)|~kind(mary)))=>(?[X]:(funny(X))))&
((?[X]:(~happy(X)))<=>((~funny(lucy)<~>~old(lucy))))&
(![X]:((rich(X)&~curious(X))<=>curious(X)))&
((?[X]:((old(X)... | ~funny(fred) | [
"p2",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5689235419414353892385126
% SZS output start Proof for 5689235419414353892385126
3. ! [X0] : ((~wise(X0) <~> brave(X0)) <=> ~humble(X0)) [input p2]
8. ! [X0] : ((humble(X0) & ~strong(X0)) => (~creative(X0) & ~humble(X0))) [input p7]
16. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (~wise(X0) ... | 0 |
If john is either creative or not old then someone is not rich.
Everyone who is not rich or quiet is both curious and not wise and vice versa.
If john is old then lucy is both not tall and strong.
If alice is creative or not rich then lucy is both patient and not patient and vice versa.
Everyone who is calm is patient ... | Alice is not kind. | contradiction | (((creative(john)<~>~old(john)))=>(?[X]:(~rich(X))))&
(![X]:((~rich(X)|quiet(X))<=>(curious(X)&~wise(X))))&
((old(john))=>((~tall(lucy)&strong(lucy))))&
(((creative(alice)|~rich(alice)))<=>((patient(lucy)&~patient(lucy))))&
(![X]:(calm(X)<=>patient(X)))&
(![X]:(~patient(X)=>kind(X)))&
((?[X]:(creative(X)))<=>(?[X]:((~c... | ~kind(alice) | [
"p1",
"p3",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 93994278954924004925395
% SZS output start Proof for 93994278954924004925395
2. ! [X0] : ((quiet(X0) | ~rich(X0)) <=> (~wise(X0) & curious(X0))) [input p1]
4. (~rich(alice) | creative(alice)) <=> (~patient(lucy) & patient(lucy)) [input p3]
12. ! [X0] : ((~wise(X0) <~> kind(X0)) <=> rich(X... | 0 |
Everyone who is wise or not brave is both calm and strong.
Everyone who is not humble is not kind or patient.
Everyone who is either happy or not patient is not happy.
If someone is wise then someone is either not old or not humble and vice versa.
Everyone who is funny or creative is both not happy and wise and vice ve... | John is not kind. | contradiction | (![X]:((wise(X)|~brave(X))=>(calm(X)&strong(X))))&
(![X]:(~humble(X)=>(~kind(X)|patient(X))))&
(![X]:((happy(X)<~>~patient(X))=>~happy(X)))&
((?[X]:(wise(X)))<=>(?[X]:((~old(X)<~>~humble(X)))))&
(![X]:((funny(X)|creative(X))<=>(~happy(X)&wise(X))))&
(![X]:((~rich(X)<~>~strong(X))<=>(wise(X)<~>funny(X))))&
(![X]:((patie... | ~kind(john) | [
"p0",
"p4",
"p5",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 921070622680657095126184
% SZS output start Proof for 921070622680657095126184
1. ! [X0] : ((~brave(X0) | wise(X0)) => (strong(X0) & calm(X0))) [input p0]
5. ! [X0] : ((creative(X0) | funny(X0)) <=> (wise(X0) & ~happy(X0))) [input p4]
6. ! [X0] : ((~rich(X0) <~> ~strong(X0)) <=> (wise(X0)... | 0 |
Everyone who is either not strong or not brave is both quiet and generous and vice versa. Everyone who is not brave is either calm or funny and vice versa. If fred is not kind then someone is both calm and not generous. If someone is not funny then paul is not strong or not patient and vice versa. If paul is not quiet ... | Paul is not creative. | contradiction | (![X]:((~strong(X)<~>~brave(X))<=>(quiet(X)&generous(X))))&
(![X]:(~brave(X)<=>(calm(X)<~>funny(X))))&
((~kind(fred))=>(?[X]:((calm(X)&~generous(X)))))&
((?[X]:(~funny(X)))<=>((~strong(paul)|~patient(paul))))&
((~quiet(paul))<=>((quiet(paul)|creative(paul))))&
(![X]:((~old(X)<~>tall(X))=>(~tall(X)|strong(X))))&
(![X]:(... | ~creative(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8567220370218979994851443
% SZS output start Proof for 8567220370218979994851443
5. ~quiet(paul) <=> (creative(paul) | quiet(paul)) [input p4]
25. ~creative(paul) [input hypothesis]
46. (~quiet(paul) | (~creative(paul) & ~quiet(paul))) & ((creative(paul) | quiet(paul)) | quiet(paul)) [nnf... | 0 |
If someone is either curious or not humble then someone is not wise and vice versa.
If someone is not tall or not calm then susan is not happy.
If alice is both wise and not quiet then someone is wise and vice versa.
If someone is funny then lucy is either not happy or not tall and vice versa.
If someone is old then fr... | Fred is not creative. | contradiction | ((?[X]:((curious(X)<~>~humble(X))))<=>(?[X]:(~wise(X))))&
((?[X]:((~tall(X)|~calm(X))))=>(~happy(susan)))&
(((wise(alice)&~quiet(alice)))<=>(?[X]:(wise(X))))&
((?[X]:(funny(X)))<=>((~happy(lucy)<~>~tall(lucy))))&
((?[X]:(old(X)))=>((rich(fred)&~strong(fred))))&
(![X]:((~kind(X)|~generous(X))=>(old(X)&~generous(X))))&
(... | ~creative(fred) | [
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1688215651346650280478662
% SZS output start Proof for 1688215651346650280478662
5. ? [X0] : old(X0) => (~strong(fred) & rich(fred)) [input p4]
6. ! [X0] : ((~generous(X0) | ~kind(X0)) => (~generous(X0) & old(X0))) [input p5]
9. ! [X0] : ((~creative(X0) | patient(X0)) => (generous(X0) <~>... | 0 |
If someone is not strong then someone is calm and vice versa.
Everyone who is not strong is not happy or not funny and vice versa.
Everyone who is funny is both calm and not tall.
Everyone who is not rich is both kind and wise.
Everyone who is not quiet or not kind is patient or not happy and vice versa.
If someone is ... | Alice is funny. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:(calm(X))))&
(![X]:(~strong(X)<=>(~happy(X)|~funny(X))))&
(![X]:(funny(X)=>(calm(X)&~tall(X))))&
(![X]:(~rich(X)=>(kind(X)&wise(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(patient(X)|~happy(X))))&
((?[X]:((creative(X)<~>quiet(X))))<=>(?[X]:(rich(X))))&
(![X]:((calm(X)<~>old(X))=>(funny(X)<~>tall(... | funny(alice) | [
"p2",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5714232342252856603855759
% SZS output start Proof for 5714232342252856603855759
3. ! [X0] : (funny(X0) => (~tall(X0) & calm(X0))) [input p2]
14. ! [X0] : (~tall(X0) => (humble(X0) & generous(X0))) [input p13]
21. ~humble(alice) <~> ~calm(alice) [input p20]
24. funny(alice) [input hypothe... | 0 |
Everyone who is both not happy and not wise is not calm.
Everyone who is either not rich or not patient is not humble or happy and vice versa.
Everyone who is either happy or rich is both quiet and strong and vice versa.
If alice is either not humble or generous then someone is not old or not tall.
Everyone who is not ... | Lucy is brave. | contradiction | (![X]:((~happy(X)&~wise(X))=>~calm(X)))&
(![X]:((~rich(X)<~>~patient(X))<=>(~humble(X)|happy(X))))&
(![X]:((happy(X)<~>rich(X))<=>(quiet(X)&strong(X))))&
(((~humble(alice)<~>generous(alice)))=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:((~humble(X)|tall(X))<=>(strong(X)&quiet(X))))&
(![X]:((~humble(X)&patient(X))=>(~rich(X)|g... | brave(lucy) | [
"p1",
"p4",
"p6",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3187092758373806197883701
% SZS output start Proof for 3187092758373806197883701
2. ! [X0] : ((~rich(X0) <~> ~patient(X0)) <=> (happy(X0) | ~humble(X0))) [input p1]
5. ! [X0] : ((tall(X0) | ~humble(X0)) <=> (quiet(X0) & strong(X0))) [input p4]
7. ~happy(mary) <=> (~humble(mary) <~> ~stron... | 0 |
Everyone who is both strong and kind is not rich.
If someone is humble then mary is both creative and tall.
If fred is strong or humble then mary is tall or wise.
If someone is either not creative or not quiet then paul is patient.
If lucy is both humble and old then someone is not curious or curious.
If someone is not... | Mary is not happy. | entailment | (![X]:((strong(X)&kind(X))=>~rich(X)))&
((?[X]:(humble(X)))=>((creative(mary)&tall(mary))))&
(((strong(fred)|humble(fred)))=>((tall(mary)|wise(mary))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(patient(paul)))&
(((humble(lucy)&old(lucy)))=>(?[X]:((~curious(X)|curious(X)))))&
((?[X]:((~happy(X)|curious(X))))<=>(?[X]:((~st... | ~happy(mary) | [
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5256490969780822204255704
% SZS output start Proof for 5256490969780822204255704
10. ! [X0] : ((calm(X0) | ~brave(X0)) => (funny(X0) & ~happy(X0))) [input p9]
11. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (brave(X0) | happy(X0))) [input p10]
14. ! [X0] : (happy(X0) => (~brave(X0) | ~funny... | 0 |
Everyone who is wise or patient is both humble and not strong. If paul is not rich then someone is both not rich and kind. If someone is both not quiet and strong then lucy is tall or kind. Everyone who is kind is either not strong or not rich. Everyone who is both calm and rich is either not brave or not calm. Everyon... | Fred is not kind. | entailment | (![X]:((wise(X)|patient(X))=>(humble(X)&~strong(X))))&
((~rich(paul))=>(?[X]:((~rich(X)&kind(X)))))&
((?[X]:((~quiet(X)&strong(X))))=>((tall(lucy)|kind(lucy))))&
(![X]:(kind(X)=>(~strong(X)<~>~rich(X))))&
(![X]:((calm(X)&rich(X))=>(~brave(X)<~>~calm(X))))&
(![X]:(rich(X)<=>curious(X)))&
((strong(mary))<=>(~wise(mary)))... | ~kind(fred) | [
"p0",
"p3",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8805105520331507179845842
% SZS output start Proof for 8805105520331507179845842
1. ! [X0] : ((patient(X0) | wise(X0)) => (~strong(X0) & humble(X0))) [input p0]
4. ! [X0] : (kind(X0) => (~strong(X0) <~> ~rich(X0))) [input p3]
9. ! [X0] : (~brave(X0) <=> (~rich(X0) & ~kind(X0))) [input p8]... | 0 |
If someone is both brave and not brave then susan is not tall.
Everyone who is either humble or calm is not creative or generous and vice versa.
Everyone who is either not happy or calm is brave and vice versa.
Everyone who is curious or not rich is both not wise and not old.
Everyone who is not generous or generous is... | Paul is not humble. | contradiction | ((?[X]:((brave(X)&~brave(X))))=>(~tall(susan)))&
(![X]:((humble(X)<~>calm(X))<=>(~creative(X)|generous(X))))&
(![X]:((~happy(X)<~>calm(X))<=>brave(X)))&
(![X]:((curious(X)|~rich(X))=>(~wise(X)&~old(X))))&
(![X]:((~generous(X)|generous(X))<=>(~calm(X)&~creative(X))))&
(![X]:((~patient(X)<~>funny(X))<=>(~curious(X)&~kind... | ~humble(paul) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7242993566354058736722006
% SZS output start Proof for 7242993566354058736722006
2. ! [X0] : ((humble(X0) <~> calm(X0)) <=> (generous(X0) | ~creative(X0))) [input p1]
5. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (~creative(X0) & ~calm(X0))) [input p4]
23. ~humble(paul) [input hypothesi... | 0 |
If paul is both funny and not generous then susan is either wise or creative. Everyone who is kind is both not calm and tall and vice versa. Everyone who is not brave or creative is not happy. Everyone who is both brave and rich is quiet or not old and vice versa. Everyone who is both not quiet and funny is quiet or hu... | Alice is not calm. | neutral | (((funny(paul)&~generous(paul)))=>((wise(susan)<~>creative(susan))))&
(![X]:(kind(X)<=>(~calm(X)&tall(X))))&
(![X]:((~brave(X)|creative(X))=>~happy(X)))&
(![X]:((brave(X)&rich(X))<=>(quiet(X)|~old(X))))&
(![X]:((~quiet(X)&funny(X))=>(quiet(X)|humble(X))))&
(![X]:((~quiet(X)|calm(X))<=>(creative(X)|~patient(X))))&
((~ge... | ~calm(alice) | [] | null | 0 |
If someone is not old or not rich then susan is both not brave and brave. Everyone who is not funny is generous or not brave and vice versa. If john is not quiet then susan is curious and vice versa. If someone is not old or rich then someone is either old or generous. Everyone who is happy or not strong is wise or not... | Paul is strong. | entailment | ((?[X]:((~old(X)|~rich(X))))=>((~brave(susan)&brave(susan))))&
(![X]:(~funny(X)<=>(generous(X)|~brave(X))))&
((~quiet(john))<=>(curious(susan)))&
((?[X]:((~old(X)|rich(X))))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:((happy(X)|~strong(X))=>(wise(X)|~generous(X))))&
(![X]:((~kind(X)<~>brave(X))=>(rich(X)|~patient(X))))&
... | strong(paul) | [
"p0",
"p6",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 78193226963270507111652
% SZS output start Proof for 78193226963270507111652
1. ? [X0] : (~rich(X0) | ~old(X0)) => (brave(susan) & ~brave(susan)) [input p0]
7. (~funny(paul) | ~happy(paul)) <=> (quiet(paul) & ~kind(paul)) [input p6]
13. ? [X0] : (old(X0) & ~kind(X0)) => ~rich(john) [input... | 0 |
Everyone who is both not funny and calm is rich or not brave and vice versa.
If someone is not wise or not kind then someone is either not patient or humble.
Everyone who is strong or not quiet is brave.
Everyone who is not generous or not strong is not curious.
Everyone who is kind or not rich is happy and vice versa.... | Lucy is rich. | entailment | (![X]:((~funny(X)&calm(X))<=>(rich(X)|~brave(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((~patient(X)<~>humble(X)))))&
(![X]:((strong(X)|~quiet(X))=>brave(X)))&
(![X]:((~generous(X)|~strong(X))=>~curious(X)))&
(![X]:((kind(X)|~rich(X))<=>happy(X)))&
((?[X]:((creative(X)|~patient(X))))<=>(?[X]:((rich(X)&~rich(X)))))&
(... | rich(lucy) | [
"p4",
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6208727655282427891542508
% SZS output start Proof for 6208727655282427891542508
5. ! [X0] : ((~rich(X0) | kind(X0)) <=> happy(X0)) [input p4]
6. ? [X0] : (~patient(X0) | creative(X0)) <=> ? [X0] : (~rich(X0) & rich(X0)) [input p5]
12. ? [X0] : happy(X0) <=> (curious(lucy) & ~wise(lucy)) ... | 0 |
Everyone who is humble or quiet is both not wise and not quiet. If fred is both tall and strong then someone is happy or not kind and vice versa. Everyone who is both generous and not curious is curious. If someone is either not brave or not wise then alice is calm. Everyone who is tall or not strong is not calm or not... | Alice is brave. | contradiction | (![X]:((humble(X)|quiet(X))=>(~wise(X)&~quiet(X))))&
(((tall(fred)&strong(fred)))<=>(?[X]:((happy(X)|~kind(X)))))&
(![X]:((generous(X)&~curious(X))=>curious(X)))&
((?[X]:((~brave(X)<~>~wise(X))))=>(calm(alice)))&
(![X]:((tall(X)|~strong(X))<=>(~calm(X)|~brave(X))))&
(![X]:(~wise(X)<=>(calm(X)<~>curious(X))))&
(((wise(l... | brave(alice) | [
"p0",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 654236169815092170535787
% SZS output start Proof for 654236169815092170535787
1. ! [X0] : ((quiet(X0) | humble(X0)) => (~quiet(X0) & ~wise(X0))) [input p0]
11. ? [X0] : (~calm(X0) | old(X0)) => quiet(john) [input p10]
14. ! [X0] : ((kind(X0) & humble(X0)) <=> (old(X0) <~> brave(X0))) [in... | 0 |
If someone is humble then alice is not curious or humble and vice versa.
If someone is either not tall or calm then paul is both funny and rich and vice versa.
If alice is kind then lucy is happy and vice versa.
If paul is not creative then fred is either quiet or not happy and vice versa.
Everyone who is both happy an... | Alice is tall. | entailment | ((?[X]:(humble(X)))<=>((~curious(alice)|humble(alice))))&
((?[X]:((~tall(X)<~>calm(X))))<=>((funny(paul)&rich(paul))))&
((kind(alice))<=>(happy(lucy)))&
((~creative(paul))<=>((quiet(fred)<~>~happy(fred))))&
(![X]:((happy(X)&funny(X))<=>(happy(X)&strong(X))))&
((old(mary))=>(?[X]:((curious(X)|patient(X)))))&
(![X]:(stro... | tall(alice) | [
"p6",
"p10",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1234806905771809205311942
% SZS output start Proof for 1234806905771809205311942
7. ! [X0] : (strong(X0) <=> (humble(X0) & tall(X0))) [input p6]
11. ? [X0] : (rich(X0) | brave(X0)) => (~happy(john) & ~funny(john)) [input p10]
12. ! [X0] : (tall(X0) <=> ~brave(X0)) [input p11]
14. ! [X0] :... | 0 |
If susan is either not generous or not patient then someone is happy and vice versa.
Everyone who is not generous or not quiet is old.
Everyone who is either not old or humble is both happy and not funny and vice versa.
Everyone who is both funny and calm is strong and vice versa.
If mary is both tall and not quiet the... | Fred is not strong. | contradiction | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~generous(X)|~quiet(X))=>old(X)))&
(![X]:((~old(X)<~>humble(X))<=>(happy(X)&~funny(X))))&
(![X]:((funny(X)&calm(X))<=>strong(X)))&
(((tall(mary)&~quiet(mary)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((patient(X)&strong(X))=>~kind(X)))&
((?[X]:((~quiet... | ~strong(fred) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2749564151245698940806420
% SZS output start Proof for 2749564151245698940806420
2. ! [X0] : ((~quiet(X0) | ~generous(X0)) => old(X0)) [input p1]
3. ! [X0] : ((~old(X0) <~> humble(X0)) <=> (~funny(X0) & happy(X0))) [input p2]
4. ! [X0] : ((calm(X0) & funny(X0)) <=> strong(X0)) [input p3]
... | 0 |
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