premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not quiet and generous is not happy or creative and vice versa.
Everyone who is calm is quiet and vice versa.
Everyone who is tall is either not happy or funny.
Everyone who is either brave or not patient is patient.
Everyone who is both quiet and humble is not creative or generous.
Everyone who is... | Mary is not humble. | contradiction | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(![X]:(tall(X)=>(~happy(X)<~>funny(X))))&
(![X]:((brave(X)<~>~patient(X))=>patient(X)))&
(![X]:((quiet(X)&humble(X))=>(~creative(X)|generous(X))))&
(![X]:(tall(X)<=>~humble(X)))&
(![X]:(generous(X)<=>(wise(X)<~>happy(X))))&
(![X]:(... | ~humble(mary) | [
"p0",
"p1",
"p2",
"p5",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3229163985012110124428736
% SZS output start Proof for 3229163985012110124428736
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~happy(X0))) [input p0]
2. ! [X0] : (calm(X0) <=> quiet(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~happy(X0) <~> funny(X0))) [input p2]
6. ! [X0] :... | 0 |
Everyone who is either quiet or not calm is not tall or not humble and vice versa.
Everyone who is not patient or calm is not happy or old.
Everyone who is both brave and old is not brave.
If lucy is either not happy or not rich then alice is wise or calm.
If paul is either not funny or not curious then someone is not ... | Mary is humble. | contradiction | (![X]:((quiet(X)<~>~calm(X))<=>(~tall(X)|~humble(X))))&
(![X]:((~patient(X)|calm(X))=>(~happy(X)|old(X))))&
(![X]:((brave(X)&old(X))=>~brave(X)))&
(((~happy(lucy)<~>~rich(lucy)))=>((wise(alice)|calm(alice))))&
(((~funny(paul)<~>~curious(paul)))=>(?[X]:((~happy(X)|~funny(X)))))&
(![X]:(strong(X)=>~curious(X)))&
(((~gene... | humble(mary) | [
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5351056734962347203627627
% SZS output start Proof for 5351056734962347203627627
18. ~rich(mary) [input p17]
23. humble(mary) <~> ~rich(mary) [input p22]
24. humble(mary) [input hypothesis]
73. (rich(mary) | ~humble(mary)) & (~rich(mary) | humble(mary)) [nnf transformation 23]
122. ~rich(... | 0 |
Everyone who is both tall and kind is rich or curious and vice versa.
Everyone who is not happy is either not quiet or not wise and vice versa.
Everyone who is either not funny or creative is not wise and vice versa.
If alice is either not tall or brave then someone is both patient and not old.
If someone is either not... | Lucy is not kind. | contradiction | (![X]:((tall(X)&kind(X))<=>(rich(X)|curious(X))))&
(![X]:(~happy(X)<=>(~quiet(X)<~>~wise(X))))&
(![X]:((~funny(X)<~>creative(X))<=>~wise(X)))&
(((~tall(alice)<~>brave(alice)))=>(?[X]:((patient(X)&~old(X)))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(?[X]:((~wise(X)<~>quiet(X)))))&
(((old(fred)|~generous(fred)))=>(?[X]:((... | ~kind(lucy) | [
"p0",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8328112900104778331317831
% SZS output start Proof for 8328112900104778331317831
1. ! [X0] : ((kind(X0) & tall(X0)) <=> (curious(X0) | rich(X0))) [input p0]
10. (~kind(susan) & kind(susan)) <=> ? [X0] : (~wise(X0) | ~humble(X0)) [input p9]
13. ? [X0] : (~happy(X0) | kind(X0)) => (wise(luc... | 0 |
If someone is either humble or generous then paul is tall or not strong and vice versa.
Everyone who is both not tall and not patient is both not generous and not brave.
If someone is curious then susan is either not strong or not old.
If someone is brave then alice is either creative or generous and vice versa.
Everyo... | Susan is not brave. | entailment | ((?[X]:((humble(X)<~>generous(X))))<=>((tall(paul)|~strong(paul))))&
(![X]:((~tall(X)&~patient(X))=>(~generous(X)&~brave(X))))&
((?[X]:(curious(X)))=>((~strong(susan)<~>~old(susan))))&
((?[X]:(brave(X)))<=>((creative(alice)<~>generous(alice))))&
(![X]:((~old(X)|~brave(X))=>(~patient(X)|~strong(X))))&
((?[X]:((~humble(X... | ~brave(susan) | [
"p1",
"p2",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8503009114147457262606615
% SZS output start Proof for 8503009114147457262606615
2. ! [X0] : ((~patient(X0) & ~tall(X0)) => (~brave(X0) & ~generous(X0))) [input p1]
3. ? [X0] : curious(X0) => (~strong(susan) <~> ~old(susan)) [input p2]
10. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~curiou... | 0 |
If lucy is wise then fred is either kind or brave and vice versa.
Everyone who is either not calm or strong is both not curious and old and vice versa.
Everyone who is happy is strong.
If susan is not funny then alice is tall and vice versa.
Everyone who is either not strong or curious is either old or calm and vice ve... | Susan is not brave. | contradiction | ((wise(lucy))<=>((kind(fred)<~>brave(fred))))&
(![X]:((~calm(X)<~>strong(X))<=>(~curious(X)&old(X))))&
(![X]:(happy(X)=>strong(X)))&
((~funny(susan))<=>(tall(alice)))&
(![X]:((~strong(X)<~>curious(X))<=>(old(X)<~>calm(X))))&
(![X]:((tall(X)|generous(X))<=>calm(X)))&
(![X]:((patient(X)<~>~creative(X))<=>~rich(X)))&
(((f... | ~brave(susan) | [
"p1",
"p2",
"p5",
"p8",
"p9",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1009726361245984922207950
% SZS output start Proof for 1009726361245984922207950
2. ! [X0] : ((~calm(X0) <~> strong(X0)) <=> (old(X0) & ~curious(X0))) [input p1]
3. ! [X0] : (happy(X0) => strong(X0)) [input p2]
6. ! [X0] : ((generous(X0) | tall(X0)) <=> calm(X0)) [input p5]
9. ! [X0] : ((... | 0 |
If someone is curious then someone is both not creative and patient and vice versa. If lucy is either tall or creative then someone is not creative. Everyone who is either not curious or not strong is curious or happy and vice versa. If someone is both tall and not curious then lucy is both rich and curious and vice ve... | John is creative. | neutral | ((?[X]:(curious(X)))<=>(?[X]:((~creative(X)&patient(X)))))&
(((tall(lucy)<~>creative(lucy)))=>(?[X]:(~creative(X))))&
(![X]:((~curious(X)<~>~strong(X))<=>(curious(X)|happy(X))))&
((?[X]:((tall(X)&~curious(X))))<=>((rich(lucy)&curious(lucy))))&
(![X]:((~calm(X)|brave(X))<=>(~quiet(X)&generous(X))))&
(![X]:((~strong(X)|r... | creative(john) | [] | null | 0 |
If someone is not creative or not patient then john is both not generous and rich and vice versa. If someone is either funny or not generous then john is not old. If fred is either not generous or not humble then susan is not humble or not strong and vice versa. If someone is creative then fred is not happy or humble. ... | Lucy is not brave. | entailment | ((?[X]:((~creative(X)|~patient(X))))<=>((~generous(john)&rich(john))))&
((?[X]:((funny(X)<~>~generous(X))))=>(~old(john)))&
(((~generous(fred)<~>~humble(fred)))<=>((~humble(susan)|~strong(susan))))&
((?[X]:(creative(X)))=>((~happy(fred)|humble(fred))))&
(![X]:((rich(X)|strong(X))<=>(~wise(X)|funny(X))))&
(![X]:((~curio... | ~brave(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9026772102930472954669635
% SZS output start Proof for 9026772102930472954669635
15. ! [X0] : ((strong(X0) & ~brave(X0)) <=> (generous(X0) | brave(X0))) [input p14]
25. brave(lucy) [input hypothesis]
62. ! [X0] : (((strong(X0) & ~brave(X0)) | (~generous(X0) & ~brave(X0))) & ((generous(X0)... | 0 |
If someone is not quiet then someone is both quiet and not tall and vice versa. If someone is both creative and funny then fred is calm or not calm. Everyone who is not generous or quiet is not happy or funny. If someone is both not generous and funny then fred is not calm or creative. Everyone who is not calm is eithe... | Fred is funny. | entailment | ((?[X]:(~quiet(X)))<=>(?[X]:((quiet(X)&~tall(X)))))&
((?[X]:((creative(X)&funny(X))))=>((calm(fred)|~calm(fred))))&
(![X]:((~generous(X)|quiet(X))=>(~happy(X)|funny(X))))&
((?[X]:((~generous(X)&funny(X))))=>((~calm(fred)|creative(fred))))&
(![X]:(~calm(X)<=>(~patient(X)<~>patient(X))))&
((?[X]:((brave(X)&generous(X))))... | funny(fred) | [
"p2",
"p4",
"p7",
"p10",
"p12",
"p13",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 334096972671307590798183
% SZS output start Proof for 334096972671307590798183
3. ! [X0] : ((quiet(X0) | ~generous(X0)) => (funny(X0) | ~happy(X0))) [input p2]
5. ! [X0] : (~calm(X0) <=> (~patient(X0) <~> patient(X0))) [input p4]
8. ! [X0] : ((~patient(X0) | ~strong(X0)) => (creative(X0) ... | 0 |
Everyone who is brave is not strong. If someone is kind or funny then susan is either not wise or strong. If john is both not humble and old then paul is either tall or not creative and vice versa. If john is both wise and not old then someone is old and vice versa. Everyone who is quiet is not curious. If someone is c... | Alice is curious. | contradiction | (![X]:(brave(X)=>~strong(X)))&
((?[X]:((kind(X)|funny(X))))=>((~wise(susan)<~>strong(susan))))&
(((~humble(john)&old(john)))<=>((tall(paul)<~>~creative(paul))))&
(((wise(john)&~old(john)))<=>(?[X]:(old(X))))&
(![X]:(quiet(X)=>~curious(X)))&
((?[X]:(curious(X)))=>((quiet(lucy)<~>brave(lucy))))&
((?[X]:((~quiet(X)&creati... | curious(alice) | [
"p3",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4344734424492721326840975
% SZS output start Proof for 4344734424492721326840975
4. (~old(john) & wise(john)) <=> ? [X0] : old(X0) [input p3]
12. ! [X0] : (curious(X0) <=> (~happy(X0) & curious(X0))) [input p11]
14. ! [X0] : (~old(X0) <=> (happy(X0) & ~wise(X0))) [input p13]
24. curious(a... | 0 |
Everyone who is both old and patient is happy or patient.
If fred is either happy or curious then someone is either strong or creative and vice versa.
If someone is not creative then someone is both not calm and rich and vice versa.
If someone is not old then mary is either calm or not tall.
If someone is both humble a... | Fred is old. | entailment | (![X]:((old(X)&patient(X))=>(happy(X)|patient(X))))&
(((happy(fred)<~>curious(fred)))<=>(?[X]:((strong(X)<~>creative(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((~calm(X)&rich(X)))))&
((?[X]:(~old(X)))=>((calm(mary)<~>~tall(mary))))&
((?[X]:((humble(X)&~happy(X))))=>((~curious(paul)&happy(paul))))&
(![X]:((~strong(X)&happy... | old(fred) | [
"p2",
"p3",
"p6",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6857457538555349833332636
% SZS output start Proof for 6857457538555349833332636
3. ? [X0] : ~creative(X0) <=> ? [X0] : (rich(X0) & ~calm(X0)) [input p2]
4. ? [X0] : ~old(X0) => (calm(mary) <~> ~tall(mary)) [input p3]
7. ? [X0] : (~generous(X0) | rich(X0)) <=> funny(paul) [input p6]
9. ? ... | 0 |
If mary is both not wise and not happy then paul is both not funny and curious and vice versa.
If paul is either not humble or not patient then john is either not tall or not calm and vice versa.
Everyone who is either not wise or not kind is not quiet or generous and vice versa.
Everyone who is either not rich or gene... | Mary is generous. | contradiction | (((~wise(mary)&~happy(mary)))<=>((~funny(paul)&curious(paul))))&
(((~humble(paul)<~>~patient(paul)))<=>((~tall(john)<~>~calm(john))))&
(![X]:((~wise(X)<~>~kind(X))<=>(~quiet(X)|generous(X))))&
(![X]:((~rich(X)<~>generous(X))<=>(~kind(X)&~rich(X))))&
(![X]:((~happy(X)<~>generous(X))=>(happy(X)<~>~strong(X))))&
(((strong... | generous(mary) | [
"p2",
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7421650153547623042896386
% SZS output start Proof for 7421650153547623042896386
3. ! [X0] : ((~wise(X0) <~> ~kind(X0)) <=> (generous(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((~rich(X0) <~> generous(X0)) <=> (~rich(X0) & ~kind(X0))) [input p3]
14. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> ~... | 0 |
Everyone who is both patient and not patient is rich and vice versa.
Everyone who is either patient or creative is either not creative or funny.
If someone is not patient or generous then someone is funny or tall.
If susan is not calm then someone is either humble or not creative and vice versa.
Everyone who is not kin... | Paul is quiet. | entailment | (![X]:((patient(X)&~patient(X))<=>rich(X)))&
(![X]:((patient(X)<~>creative(X))=>(~creative(X)<~>funny(X))))&
((?[X]:((~patient(X)|generous(X))))=>(?[X]:((funny(X)|tall(X)))))&
((~calm(susan))<=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~kind(X)|curious(X))<=>(creative(X)<~>~happy(X))))&
(![X]:((calm(X)<~>wise(X))=>... | quiet(paul) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 43451942601237636783538
% SZS output start Proof for 43451942601237636783538
1. ! [X0] : ((~patient(X0) & patient(X0)) <=> rich(X0)) [input p0]
14. ! [X0] : (~quiet(X0) <=> rich(X0)) [input p13]
25. ~quiet(paul) [input hypothesis]
37. ! [X0] : (((~patient(X0) & patient(X0)) | ~rich(X0)) &... | 0 |
If someone is quiet then fred is funny and vice versa. If someone is either not happy or creative then mary is either quiet or old and vice versa. If john is old or curious then paul is either tall or old. If someone is not kind or not curious then fred is either kind or not funny and vice versa. If someone is not happ... | Mary is not tall. | contradiction | ((?[X]:(quiet(X)))<=>(funny(fred)))&
((?[X]:((~happy(X)<~>creative(X))))<=>((quiet(mary)<~>old(mary))))&
(((old(john)|curious(john)))=>((tall(paul)<~>old(paul))))&
((?[X]:((~kind(X)|~curious(X))))<=>((kind(fred)<~>~funny(fred))))&
((?[X]:(~happy(X)))<=>((~rich(lucy)|~humble(lucy))))&
((generous(mary))<=>(?[X]:((rich(X)... | ~tall(mary) | [
"p7",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 912028246867270536692342
% SZS output start Proof for 912028246867270536692342
8. ? [X0] : ~wise(X0) <=> ? [X0] : (~brave(X0) | curious(X0)) [input p7]
9. ! [X0] : (~wise(X0) => (quiet(X0) & kind(X0))) [input p8]
10. ! [X0] : ((~happy(X0) | ~quiet(X0)) <=> (happy(X0) | calm(X0))) [input p... | 0 |
If mary is either not curious or tall then lucy is either not rich or quiet and vice versa.
If john is not calm then alice is not calm and vice versa.
If mary is either brave or not rich then susan is wise and vice versa.
Everyone who is not kind is funny or not quiet and vice versa.
Everyone who is both not quiet and ... | Lucy is not curious. | entailment | (((~curious(mary)<~>tall(mary)))<=>((~rich(lucy)<~>quiet(lucy))))&
((~calm(john))<=>(~calm(alice)))&
(((brave(mary)<~>~rich(mary)))<=>(wise(susan)))&
(![X]:(~kind(X)<=>(funny(X)|~quiet(X))))&
(![X]:((~quiet(X)&quiet(X))=>strong(X)))&
(![X]:((~strong(X)&wise(X))=>(patient(X)<~>~humble(X))))&
(![X]:(old(X)=>(~happy(X)|~c... | ~curious(lucy) | [
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 349855512741693988771017
% SZS output start Proof for 349855512741693988771017
9. ! [X0] : (curious(X0) <=> (rich(X0) & ~creative(X0))) [input p8]
18. ~tall(lucy) & creative(lucy) [input p17]
25. curious(lucy) [input hypothesis]
43. ! [X0] : ((curious(X0) | (~rich(X0) | creative(X0))) & (... | 0 |
If fred is brave or not brave then someone is tall or not rich and vice versa.
Everyone who is both not curious and patient is both patient and curious and vice versa.
If paul is not happy or not curious then someone is either not funny or strong.
Everyone who is either not creative or not generous is not strong or gen... | Susan is not creative. | neutral | (((brave(fred)|~brave(fred)))<=>(?[X]:((tall(X)|~rich(X)))))&
(![X]:((~curious(X)&patient(X))<=>(patient(X)&curious(X))))&
(((~happy(paul)|~curious(paul)))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((~creative(X)<~>~generous(X))=>(~strong(X)|generous(X))))&
(![X]:((brave(X)<~>~wise(X))=>(~kind(X)|funny(X))))&
(![X]:((s... | ~creative(susan) | [] | null | 0 |
Everyone who is not quiet or rich is not brave or not calm. Everyone who is not kind or calm is wise. If fred is not patient then someone is strong and vice versa. If someone is not happy or rich then paul is not creative and vice versa. Everyone who is not calm is either not calm or kind. Everyone who is not creative ... | Lucy is kind. | contradiction | (![X]:((~quiet(X)|rich(X))=>(~brave(X)|~calm(X))))&
(![X]:((~kind(X)|calm(X))=>wise(X)))&
((~patient(fred))<=>(?[X]:(strong(X))))&
((?[X]:((~happy(X)|rich(X))))<=>(~creative(paul)))&
(![X]:(~calm(X)=>(~calm(X)<~>kind(X))))&
(![X]:(~creative(X)<=>(calm(X)|curious(X))))&
(![X]:((~wise(X)<~>creative(X))=>old(X)))&
(((~pat... | kind(lucy) | [
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9146897867456842299764481
% SZS output start Proof for 9146897867456842299764481
15. ! [X0] : ((~strong(X0) <~> brave(X0)) <=> brave(X0)) [input p14]
22. strong(lucy) <~> kind(lucy) [input p21]
24. kind(lucy) [input hypothesis]
58. ! [X0] : ((((~brave(X0) | strong(X0)) & (brave(X0) | ~str... | 0 |
Everyone who is both not kind and wise is curious or brave and vice versa. If someone is both not curious and not calm then fred is old and vice versa. Everyone who is kind is both quiet and not happy and vice versa. Everyone who is curious or wise is wise or tall and vice versa. Everyone who is both generous and not k... | Fred is not patient. | neutral | (![X]:((~kind(X)&wise(X))<=>(curious(X)|brave(X))))&
((?[X]:((~curious(X)&~calm(X))))<=>(old(fred)))&
(![X]:(kind(X)<=>(quiet(X)&~happy(X))))&
(![X]:((curious(X)|wise(X))<=>(wise(X)|tall(X))))&
(![X]:((generous(X)&~kind(X))<=>(~rich(X)&quiet(X))))&
((?[X]:((happy(X)&generous(X))))=>((wise(fred)&~rich(fred))))&
(![X]:((... | ~patient(fred) | [] | null | 0 |
Everyone who is humble or not quiet is both funny and not funny. If fred is either not creative or not calm then fred is either patient or happy and vice versa. Everyone who is not rich or happy is both funny and not kind. Everyone who is both calm and kind is both kind and not happy and vice versa. Everyone who is bot... | Mary is kind. | contradiction | (![X]:((humble(X)|~quiet(X))=>(funny(X)&~funny(X))))&
(((~creative(fred)<~>~calm(fred)))<=>((patient(fred)<~>happy(fred))))&
(![X]:((~rich(X)|happy(X))=>(funny(X)&~kind(X))))&
(![X]:((calm(X)&kind(X))<=>(kind(X)&~happy(X))))&
(![X]:((~old(X)&~creative(X))<=>(~patient(X)|~strong(X))))&
(![X]:((~generous(X)<~>kind(X))<=>... | kind(mary) | [
"p0",
"p2",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5972181992479541473996839
% SZS output start Proof for 5972181992479541473996839
1. ! [X0] : ((~quiet(X0) | humble(X0)) => (~funny(X0) & funny(X0))) [input p0]
3. ! [X0] : ((happy(X0) | ~rich(X0)) => (~kind(X0) & funny(X0))) [input p2]
7. ! [X0] : ((wise(X0) | ~calm(X0)) <=> calm(X0)) [in... | 0 |
If paul is both rich and creative then paul is both not happy and kind and vice versa. If john is not calm then mary is not patient or curious and vice versa. Everyone who is either not kind or not happy is calm and vice versa. Everyone who is old is not calm or not kind. Everyone who is brave is either brave or happy ... | Fred is happy. | contradiction | (((rich(paul)&creative(paul)))<=>((~happy(paul)&kind(paul))))&
((~calm(john))<=>((~patient(mary)|curious(mary))))&
(![X]:((~kind(X)<~>~happy(X))<=>calm(X)))&
(![X]:(old(X)=>(~calm(X)|~kind(X))))&
(![X]:(brave(X)<=>(brave(X)<~>happy(X))))&
(![X]:(patient(X)=>(~patient(X)|~wise(X))))&
(![X]:(funny(X)=>(curious(X)<~>~pati... | happy(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8311405605284896895610236
% SZS output start Proof for 8311405605284896895610236
5. ! [X0] : (brave(X0) <=> (brave(X0) <~> happy(X0))) [input p4]
22. happy(fred) [input hypothesis]
37. ! [X0] : ((brave(X0) | ((brave(X0) | ~happy(X0)) & (happy(X0) | ~brave(X0)))) & (((~happy(X0) | ~brave(X... | 0 |
Everyone who is old is strong or old and vice versa.
If paul is quiet then paul is either funny or creative and vice versa.
If someone is either not patient or rich then paul is happy or rich and vice versa.
If someone is either brave or not old then someone is either old or generous.
Everyone who is not calm is creati... | Lucy is funny. | entailment | (![X]:(old(X)<=>(strong(X)|old(X))))&
((quiet(paul))<=>((funny(paul)<~>creative(paul))))&
((?[X]:((~patient(X)<~>rich(X))))<=>((happy(paul)|rich(paul))))&
((?[X]:((brave(X)<~>~old(X))))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:(~calm(X)=>creative(X)))&
(((~generous(alice)&~kind(alice)))<=>(?[X]:((~curious(X)<~>~tall(X)... | funny(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6061038406396485051131504
% SZS output start Proof for 6061038406396485051131504
17. funny(lucy) & tall(lucy) [input p16]
25. ~funny(lucy) [input hypothesis]
148. funny(lucy) [cnf transformation 17]
158. ~funny(lucy) [cnf transformation 25]
269. 22 <=> funny(lucy) [avatar definition]
308.... | 0 |
Everyone who is both old and strong is rich and vice versa.
If lucy is kind or tall then susan is not creative.
Everyone who is not tall is both not strong and not happy.
If someone is happy then alice is either calm or patient.
Everyone who is not patient or not tall is either humble or not calm.
If lucy is either not... | John is not tall. | contradiction | (![X]:((old(X)&strong(X))<=>rich(X)))&
(((kind(lucy)|tall(lucy)))=>(~creative(susan)))&
(![X]:(~tall(X)=>(~strong(X)&~happy(X))))&
((?[X]:(happy(X)))=>((calm(alice)<~>patient(alice))))&
(![X]:((~patient(X)|~tall(X))=>(humble(X)<~>~calm(X))))&
(((~funny(lucy)<~>~tall(lucy)))=>((~kind(john)&strong(john))))&
((?[X]:((~bra... | ~tall(john) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4466910693608173744417984
% SZS output start Proof for 4466910693608173744417984
3. ! [X0] : (~tall(X0) => (~happy(X0) & ~strong(X0))) [input p2]
19. ~old(john) & happy(john) [input p18]
25. ~tall(john) [input hypothesis]
28. ! [X0] : ((~happy(X0) & ~strong(X0)) | tall(X0)) [ennf transfor... | 0 |
If someone is both not old and creative then someone is either quiet or strong and vice versa.
Everyone who is humble is both not calm and tall and vice versa.
Everyone who is either patient or happy is both not brave and happy and vice versa.
If paul is either quiet or not tall then lucy is not creative.
Everyone who ... | Alice is not kind. | neutral | ((?[X]:((~old(X)&creative(X))))<=>(?[X]:((quiet(X)<~>strong(X)))))&
(![X]:(humble(X)<=>(~calm(X)&tall(X))))&
(![X]:((patient(X)<~>happy(X))<=>(~brave(X)&happy(X))))&
(((quiet(paul)<~>~tall(paul)))=>(~creative(lucy)))&
(![X]:((~curious(X)|~strong(X))<=>(creative(X)<~>strong(X))))&
(![X]:((creative(X)|~rich(X))<=>(~brave... | ~kind(alice) | [] | null | 0 |
Everyone who is kind or not kind is either curious or not happy. If susan is both not quiet and not wise then someone is quiet or not wise. If paul is not quiet then someone is brave and vice versa. Everyone who is not tall or not old is either not generous or humble and vice versa. Everyone who is both not quiet and t... | Mary is not strong. | contradiction | (![X]:((kind(X)|~kind(X))=>(curious(X)<~>~happy(X))))&
(((~quiet(susan)&~wise(susan)))=>(?[X]:((quiet(X)|~wise(X)))))&
((~quiet(paul))<=>(?[X]:(brave(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(X)<~>humble(X))))&
(![X]:((~quiet(X)&tall(X))<=>(calm(X)|~happy(X))))&
((~curious(paul))=>((generous(mary)&~strong(mary))))&... | ~strong(mary) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 931583132209304871244760
% SZS output start Proof for 931583132209304871244760
23. strong(mary) & humble(mary) [input p22]
24. ~strong(mary) [input hypothesis]
153. strong(mary) [cnf transformation 23]
154. ~strong(mary) [cnf transformation 24]
196. 9 <=> strong(mary) [avatar definition]
... | 0 |
If alice is both curious and patient then lucy is tall or not wise and vice versa.
Everyone who is either not curious or not creative is both not curious and curious.
Everyone who is both patient and old is both not wise and funny.
If mary is both kind and quiet then paul is not old or not creative.
Everyone who is eit... | Mary is not curious. | contradiction | (((curious(alice)&patient(alice)))<=>((tall(lucy)|~wise(lucy))))&
(![X]:((~curious(X)<~>~creative(X))=>(~curious(X)&curious(X))))&
(![X]:((patient(X)&old(X))=>(~wise(X)&funny(X))))&
(((kind(mary)&quiet(mary)))=>((~old(paul)|~creative(paul))))&
(![X]:((curious(X)<~>~rich(X))=>patient(X)))&
(![X]:((~funny(X)<~>~happy(X))... | ~curious(mary) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4097229693984898452268359
% SZS output start Proof for 4097229693984898452268359
2. ! [X0] : ((~curious(X0) <~> ~creative(X0)) => (curious(X0) & ~curious(X0))) [input p1]
20. creative(mary) & ~calm(mary) [input p19]
24. ~curious(mary) [input hypothesis]
25. ! [X0] : ((curious(X0) & ~curio... | 0 |
If someone is both not tall and brave then someone is strong. Everyone who is both patient and generous is tall and vice versa. Everyone who is strong or not kind is not calm. Everyone who is both not generous and not tall is curious. Everyone who is not wise is either old or funny. If someone is rich then susan is bot... | Mary is not strong. | contradiction | ((?[X]:((~tall(X)&brave(X))))=>(?[X]:(strong(X))))&
(![X]:((patient(X)&generous(X))<=>tall(X)))&
(![X]:((strong(X)|~kind(X))=>~calm(X)))&
(![X]:((~generous(X)&~tall(X))=>curious(X)))&
(![X]:(~wise(X)=>(old(X)<~>funny(X))))&
((?[X]:(rich(X)))<=>((rich(susan)&~tall(susan))))&
(![X]:(~quiet(X)=>rich(X)))&
(![X]:(~patient(... | ~strong(mary) | [
"p10",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8713488158987101925485354
% SZS output start Proof for 8713488158987101925485354
11. ! [X0] : ((funny(X0) <~> ~calm(X0)) <=> (old(X0) <~> ~old(X0))) [input p10]
17. funny(mary) | strong(mary) [input p16]
21. ~calm(mary) [input p20]
25. ~strong(mary) [input hypothesis]
57. ! [X0] : ((((cal... | 0 |
Everyone who is either not curious or funny is both old and not curious. Everyone who is both not old and not strong is both calm and tall. Everyone who is either not wise or happy is either quiet or not curious. Everyone who is both tall and calm is not calm and vice versa. If someone is either funny or tall then alic... | Alice is kind. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~curious(X))))&
(![X]:((~old(X)&~strong(X))=>(calm(X)&tall(X))))&
(![X]:((~wise(X)<~>happy(X))=>(quiet(X)<~>~curious(X))))&
(![X]:((tall(X)&calm(X))<=>~calm(X)))&
((?[X]:((funny(X)<~>tall(X))))=>((happy(alice)<~>kind(alice))))&
(![X]:(~tall(X)=>(wise(X)<~>~rich(X))))&
(![X]:(~ge... | kind(alice) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4320605756856976911444498
% SZS output start Proof for 4320605756856976911444498
4. ! [X0] : ((calm(X0) & tall(X0)) <=> ~calm(X0)) [input p3]
8. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (kind(X0) & ~humble(X0))) [input p7]
24. ~kind(alice) [input hypothesis]
37. ! [X0] : (((calm(X0) & tall... | 0 |
Everyone who is either strong or not calm is not happy. If someone is both not wise and not happy then fred is not old and vice versa. If fred is not generous or not kind then someone is either brave or not creative and vice versa. If mary is creative then someone is either not creative or brave. If alice is both patie... | Mary is strong. | contradiction | (![X]:((strong(X)<~>~calm(X))=>~happy(X)))&
((?[X]:((~wise(X)&~happy(X))))<=>(~old(fred)))&
(((~generous(fred)|~kind(fred)))<=>(?[X]:((brave(X)<~>~creative(X)))))&
((creative(mary))=>(?[X]:((~creative(X)<~>brave(X)))))&
(((patient(alice)&calm(alice)))<=>(?[X]:((tall(X)|calm(X)))))&
((?[X]:(~old(X)))=>(?[X]:((happy(X)|~... | strong(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 941421358039705829392281
% SZS output start Proof for 941421358039705829392281
15. ! [X0] : ((curious(X0) | strong(X0)) <=> ~strong(X0)) [input p14]
21. strong(mary) [input hypothesis]
69. ! [X0] : (((curious(X0) | strong(X0)) | strong(X0)) & (~strong(X0) | (~curious(X0) & ~strong(X0)))) ... | 0 |
Everyone who is both not strong and not quiet is not creative.
Everyone who is not old or happy is both not funny and tall and vice versa.
If someone is both happy and old then fred is rich or tall.
If someone is either humble or not generous then someone is strong or not happy.
Everyone who is not kind is both not tal... | Lucy is wise. | neutral | (![X]:((~strong(X)&~quiet(X))=>~creative(X)))&
(![X]:((~old(X)|happy(X))<=>(~funny(X)&tall(X))))&
((?[X]:((happy(X)&old(X))))=>((rich(fred)|tall(fred))))&
((?[X]:((humble(X)<~>~generous(X))))=>(?[X]:((strong(X)|~happy(X)))))&
(![X]:(~kind(X)=>(~tall(X)&~quiet(X))))&
(![X]:(generous(X)=>(~old(X)<~>~quiet(X))))&
((?[X]:(... | wise(lucy) | [] | null | 0 |
Everyone who is either not patient or old is both not calm and calm and vice versa.
Everyone who is not brave is not rich or patient and vice versa.
If someone is either not wise or patient then fred is kind or quiet and vice versa.
If someone is either happy or not funny then someone is not old and vice versa.
If some... | Fred is funny. | contradiction | (![X]:((~patient(X)<~>old(X))<=>(~calm(X)&calm(X))))&
(![X]:(~brave(X)<=>(~rich(X)|patient(X))))&
((?[X]:((~wise(X)<~>patient(X))))<=>((kind(fred)|quiet(fred))))&
((?[X]:((happy(X)<~>~funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:((patient(X)|old(X))))=>(?[X]:((wise(X)&~kind(X)))))&
(((~kind(john)&calm(john)))<=>(~funny(paul... | funny(fred) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3834970037408288667620418
% SZS output start Proof for 3834970037408288667620418
14. ! [X0] : (wise(X0) <=> funny(X0)) [input p13]
17. strong(fred) & ~wise(fred) [input p16]
24. funny(fred) [input hypothesis]
65. ! [X0] : ((wise(X0) | ~funny(X0)) & (funny(X0) | ~wise(X0))) [nnf transforma... | 0 |
Everyone who is generous or tall is both not curious and old.
If someone is not creative then someone is both not tall and humble.
If someone is both old and funny then someone is either tall or not brave and vice versa.
If someone is tall then someone is old.
Everyone who is either patient or creative is not creative ... | Alice is not happy. | entailment | (![X]:((generous(X)|tall(X))=>(~curious(X)&old(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~tall(X)&humble(X)))))&
((?[X]:((old(X)&funny(X))))<=>(?[X]:((tall(X)<~>~brave(X)))))&
((?[X]:(tall(X)))=>(?[X]:(old(X))))&
(![X]:((patient(X)<~>creative(X))<=>(~creative(X)|~rich(X))))&
(![X]:(happy(X)=>~happy(X)))&
((~kind(alice))=>... | ~happy(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 62840951291552078344256
% SZS output start Proof for 62840951291552078344256
6. ! [X0] : (happy(X0) => ~happy(X0)) [input p5]
25. happy(alice) [input hypothesis]
36. ! [X0] : (~happy(X0) | ~happy(X0)) [ennf transformation 6]
116. ~happy(X0) | ~happy(X0) [cnf transformation 36]
166. happy(... | 0 |
If someone is both strong and not creative then someone is either not calm or patient.
Everyone who is not old is not kind or not tall.
Everyone who is both not quiet and not funny is funny or wise and vice versa.
Everyone who is either happy or not quiet is either not funny or creative.
Everyone who is either quiet or... | Lucy is not patient. | contradiction | ((?[X]:((strong(X)&~creative(X))))=>(?[X]:((~calm(X)<~>patient(X)))))&
(![X]:(~old(X)=>(~kind(X)|~tall(X))))&
(![X]:((~quiet(X)&~funny(X))<=>(funny(X)|wise(X))))&
(![X]:((happy(X)<~>~quiet(X))=>(~funny(X)<~>creative(X))))&
(![X]:((quiet(X)<~>~creative(X))=>(calm(X)|~funny(X))))&
(![X]:((strong(X)<~>funny(X))=>(rich(X)&... | ~patient(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 563256783958206312753442
% SZS output start Proof for 563256783958206312753442
16. humble(lucy) & patient(lucy) [input p15]
20. ~patient(lucy) [input hypothesis]
24. patient(lucy) [pure predicate removal 16]
122. patient(lucy) [cnf transformation 24]
127. ~patient(lucy) [cnf transformatio... | 0 |
Everyone who is either not curious or tall is either not strong or not calm and vice versa.
If someone is both patient and brave then someone is both not calm and not old.
Everyone who is either creative or tall is creative or not calm and vice versa.
Everyone who is calm is not brave or not patient and vice versa.
If ... | John is old. | contradiction | (![X]:((~curious(X)<~>tall(X))<=>(~strong(X)<~>~calm(X))))&
((?[X]:((patient(X)&brave(X))))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((creative(X)<~>tall(X))<=>(creative(X)|~calm(X))))&
(![X]:(calm(X)<=>(~brave(X)|~patient(X))))&
((patient(john))=>((~curious(john)&quiet(john))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((~w... | old(john) | [
"p2",
"p3",
"p7",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4869228548744785479812655
% SZS output start Proof for 4869228548744785479812655
3. ! [X0] : ((creative(X0) <~> tall(X0)) <=> (~calm(X0) | creative(X0))) [input p2]
4. ! [X0] : (calm(X0) <=> (~patient(X0) | ~brave(X0))) [input p3]
8. ! [X0] : ((~patient(X0) <~> ~tall(X0)) => (~creative(X0... | 0 |
If fred is either brave or not generous then lucy is either not quiet or not rich.
If alice is both not patient and not kind then someone is tall or patient.
If john is either calm or quiet then mary is both tall and not quiet.
Everyone who is both brave and not quiet is both not patient and not tall and vice versa.
If... | Alice is not wise. | entailment | (((brave(fred)<~>~generous(fred)))=>((~quiet(lucy)<~>~rich(lucy))))&
(((~patient(alice)&~kind(alice)))=>(?[X]:((tall(X)|patient(X)))))&
(((calm(john)<~>quiet(john)))=>((tall(mary)&~quiet(mary))))&
(![X]:((brave(X)&~quiet(X))<=>(~patient(X)&~tall(X))))&
((curious(lucy))<=>(?[X]:(~old(X))))&
(![X]:((patient(X)&old(X))<=>... | ~wise(alice) | [
"p5",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3547963154948344479798204
% SZS output start Proof for 3547963154948344479798204
6. ! [X0] : ((old(X0) & patient(X0)) <=> (~wise(X0) <~> ~old(X0))) [input p5]
10. ! [X0] : ((old(X0) <~> ~quiet(X0)) <=> (~old(X0) | patient(X0))) [input p9]
23. quiet(alice) & ~calm(alice) [input p22]
25. wi... | 0 |
Everyone who is humble or not rich is both not brave and not generous and vice versa. Everyone who is both wise and patient is strong. If alice is curious or humble then john is tall and vice versa. If someone is either patient or rich then john is calm and vice versa. Everyone who is either not wise or not rich is not... | Mary is not funny. | contradiction | (![X]:((humble(X)|~rich(X))<=>(~brave(X)&~generous(X))))&
(![X]:((wise(X)&patient(X))=>strong(X)))&
(((curious(alice)|humble(alice)))<=>(tall(john)))&
((?[X]:((patient(X)<~>rich(X))))<=>(calm(john)))&
(![X]:((~wise(X)<~>~rich(X))<=>~creative(X)))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~creative(X))))&
(![X]:(~kind(X)<=... | ~funny(mary) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 473812645073032573560970
% SZS output start Proof for 473812645073032573560970
6. ! [X0] : ((kind(X0) | ~funny(X0)) => (~creative(X0) & quiet(X0))) [input p5]
14. ! [X0] : ((~funny(X0) | ~happy(X0)) => (quiet(X0) & creative(X0))) [input p13]
23. ~funny(mary) [input hypothesis]
28. ! [X0] ... | 0 |
Everyone who is both patient and not tall is not old.
If someone is strong then lucy is either not curious or not generous.
Everyone who is humble is either not old or not patient and vice versa.
Everyone who is both tall and happy is curious and vice versa.
Everyone who is not happy or wise is both not calm and not hu... | Alice is not creative. | neutral | (![X]:((patient(X)&~tall(X))=>~old(X)))&
((?[X]:(strong(X)))=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:(humble(X)<=>(~old(X)<~>~patient(X))))&
(![X]:((tall(X)&happy(X))<=>curious(X)))&
(![X]:((~happy(X)|wise(X))=>(~calm(X)&~humble(X))))&
(![X]:((~creative(X)|tall(X))<=>(~quiet(X)<~>~kind(X))))&
(![X]:((~old(X)&happ... | ~creative(alice) | [] | null | 0 |
If mary is either quiet or funny then someone is not strong and vice versa.
If someone is both not rich and not happy then paul is either curious or kind and vice versa.
If someone is not wise then fred is not quiet and vice versa.
If someone is both not tall and rich then alice is not humble or humble and vice versa.
... | Mary is strong. | contradiction | (((quiet(mary)<~>funny(mary)))<=>(?[X]:(~strong(X))))&
((?[X]:((~rich(X)&~happy(X))))<=>((curious(paul)<~>kind(paul))))&
((?[X]:(~wise(X)))<=>(~quiet(fred)))&
((?[X]:((~tall(X)&rich(X))))<=>((~humble(alice)|humble(alice))))&
(![X]:((creative(X)|~quiet(X))=>~rich(X)))&
((?[X]:((tall(X)<~>strong(X))))<=>(~strong(paul)))&... | strong(mary) | [
"p0",
"p3",
"p5",
"p10",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8637198278406671629723076
% SZS output start Proof for 8637198278406671629723076
1. (quiet(mary) <~> funny(mary)) <=> ? [X0] : ~strong(X0) [input p0]
4. ? [X0] : (rich(X0) & ~tall(X0)) <=> (humble(alice) | ~humble(alice)) [input p3]
6. ? [X0] : (tall(X0) <~> strong(X0)) <=> ~strong(paul) ... | 0 |
Everyone who is not calm is not humble or curious and vice versa. Everyone who is quiet or not quiet is both not kind and not funny and vice versa. If someone is both quiet and not quiet then lucy is both not tall and old and vice versa. Everyone who is not happy is both not happy and not humble. If someone is both qui... | Paul is brave. | entailment | (![X]:(~calm(X)<=>(~humble(X)|curious(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~kind(X)&~funny(X))))&
((?[X]:((quiet(X)&~quiet(X))))<=>((~tall(lucy)&old(lucy))))&
(![X]:(~happy(X)=>(~happy(X)&~humble(X))))&
((?[X]:((quiet(X)&generous(X))))=>(?[X]:((tall(X)|happy(X)))))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((old(X)<~>q... | brave(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7090716539573461040784451
% SZS output start Proof for 7090716539573461040784451
7. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> brave(X0)) [input p6]
22. ~brave(paul) [input hypothesis]
50. ! [X0] : (((~brave(X0) | ~calm(X0)) | ~brave(X0)) & (brave(X0) | (brave(X0) & calm(X0)))) [nnf transform... | 0 |
Everyone who is brave or not generous is tall or rich.
If mary is not tall or creative then someone is both brave and wise.
If susan is both not funny and creative then john is either humble or not curious and vice versa.
If someone is either calm or humble then someone is either not wise or rich and vice versa.
If pau... | Paul is old. | neutral | (![X]:((brave(X)|~generous(X))=>(tall(X)|rich(X))))&
(((~tall(mary)|creative(mary)))=>(?[X]:((brave(X)&wise(X)))))&
(((~funny(susan)&creative(susan)))<=>((humble(john)<~>~curious(john))))&
((?[X]:((calm(X)<~>humble(X))))<=>(?[X]:((~wise(X)<~>rich(X)))))&
(((~kind(paul)|calm(paul)))=>((~strong(mary)<~>~generous(mary))))... | old(paul) | [] | null | 0 |
If someone is not brave then someone is not brave or wise.
Everyone who is wise or not humble is not rich.
Everyone who is either not rich or rich is either creative or brave.
Everyone who is not creative is either not creative or wise.
Everyone who is both not creative and creative is creative and vice versa.
If paul ... | Mary is not calm. | entailment | ((?[X]:(~brave(X)))=>(?[X]:((~brave(X)|wise(X)))))&
(![X]:((wise(X)|~humble(X))=>~rich(X)))&
(![X]:((~rich(X)<~>rich(X))=>(creative(X)<~>brave(X))))&
(![X]:(~creative(X)=>(~creative(X)<~>wise(X))))&
(![X]:((~creative(X)&creative(X))<=>creative(X)))&
((patient(paul))=>(?[X]:((happy(X)<~>~curious(X)))))&
((?[X]:((~creati... | ~calm(mary) | [
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 120016548639598554425246
% SZS output start Proof for 120016548639598554425246
10. ! [X0] : ((patient(X0) | ~tall(X0)) => ~calm(X0)) [input p9]
24. ~tall(mary) & ~humble(mary) [input p23]
25. calm(mary) [input hypothesis]
36. ! [X0] : (~calm(X0) | (~patient(X0) & tall(X0))) [ennf transfor... | 0 |
Everyone who is both creative and happy is both tall and humble and vice versa.
If susan is not kind or not patient then someone is either not quiet or happy and vice versa.
If paul is not quiet then someone is not brave or not generous.
If someone is either not strong or not rich then someone is either tall or not cur... | Susan is kind. | contradiction | (![X]:((creative(X)&happy(X))<=>(tall(X)&humble(X))))&
(((~kind(susan)|~patient(susan)))<=>(?[X]:((~quiet(X)<~>happy(X)))))&
((~quiet(paul))=>(?[X]:((~brave(X)|~generous(X)))))&
((?[X]:((~strong(X)<~>~rich(X))))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:(~happy(X)<=>(~kind(X)<~>funny(X))))&
(((patient(john)&~quiet(john... | kind(susan) | [
"p1",
"p5",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2526163922925403822542846
% SZS output start Proof for 2526163922925403822542846
2. (~patient(susan) | ~kind(susan)) <=> ? [X0] : (~quiet(X0) <~> happy(X0)) [input p1]
6. (~quiet(john) & patient(john)) <=> ? [X0] : (quiet(X0) & ~brave(X0)) [input p5]
9. ? [X0] : ~happy(X0) <=> ? [X0] : (w... | 0 |
Everyone who is both rich and happy is either generous or quiet and vice versa. Everyone who is both funny and not generous is both tall and humble and vice versa. If paul is not humble or wise then alice is not patient and vice versa. If mary is either humble or patient then someone is either creative or generous and ... | Paul is not funny. | neutral | (![X]:((rich(X)&happy(X))<=>(generous(X)<~>quiet(X))))&
(![X]:((funny(X)&~generous(X))<=>(tall(X)&humble(X))))&
(((~humble(paul)|wise(paul)))<=>(~patient(alice)))&
(((humble(mary)<~>patient(mary)))<=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:((~tall(X)<~>tall(X))=>(humble(X)&creative(X))))&
(![X]:(~kind(X)=>(brave(X... | ~funny(paul) | [] | null | 0 |
If someone is not happy then someone is not rich and vice versa. Everyone who is generous or curious is either not wise or curious. If someone is either strong or calm then someone is not kind or not creative. If someone is either wise or not rich then someone is both strong and not brave. Everyone who is both quiet an... | Mary is not curious. | neutral | ((?[X]:(~happy(X)))<=>(?[X]:(~rich(X))))&
(![X]:((generous(X)|curious(X))=>(~wise(X)<~>curious(X))))&
((?[X]:((strong(X)<~>calm(X))))=>(?[X]:((~kind(X)|~creative(X)))))&
((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((strong(X)&~brave(X)))))&
(![X]:((quiet(X)&brave(X))<=>(rich(X)|funny(X))))&
(![X]:((quiet(X)<~>old(X))<=>(humb... | ~curious(mary) | [] | null | 0 |
Everyone who is either humble or quiet is both rich and not patient.
Everyone who is not happy is brave or not generous and vice versa.
Everyone who is tall or calm is patient or wise.
Everyone who is either tall or funny is not funny or strong and vice versa.
Everyone who is wise is either not humble or calm and vice ... | Fred is not humble. | contradiction | (![X]:((humble(X)<~>quiet(X))=>(rich(X)&~patient(X))))&
(![X]:(~happy(X)<=>(brave(X)|~generous(X))))&
(![X]:((tall(X)|calm(X))=>(patient(X)|wise(X))))&
(![X]:((tall(X)<~>funny(X))<=>(~funny(X)|strong(X))))&
(![X]:(wise(X)<=>(~humble(X)<~>calm(X))))&
(![X]:((~tall(X)&~kind(X))<=>(curious(X)<~>funny(X))))&
(![X]:((~brave... | ~humble(fred) | [
"p1",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2222060402857278226506195
% SZS output start Proof for 2222060402857278226506195
2. ! [X0] : (~happy(X0) <=> (~generous(X0) | brave(X0))) [input p1]
10. ! [X0] : ((generous(X0) <~> ~generous(X0)) => (~kind(X0) | humble(X0))) [input p9]
11. ! [X0] : (~happy(X0) <=> ~strong(X0)) [input p10]... | 0 |
If mary is not tall then lucy is either not tall or generous. If paul is both not calm and not funny then mary is patient or not brave and vice versa. If paul is either not funny or kind then john is both not wise and not tall. Everyone who is both not quiet and not rich is not brave. Everyone who is not funny or quiet... | Paul is not creative. | neutral | ((~tall(mary))=>((~tall(lucy)<~>generous(lucy))))&
(((~calm(paul)&~funny(paul)))<=>((patient(mary)|~brave(mary))))&
(((~funny(paul)<~>kind(paul)))=>((~wise(john)&~tall(john))))&
(![X]:((~quiet(X)&~rich(X))=>~brave(X)))&
(![X]:((~funny(X)|quiet(X))<=>(~wise(X)<~>patient(X))))&
((?[X]:((~creative(X)<~>~generous(X))))=>(w... | ~creative(paul) | [] | null | 0 |
If someone is either patient or funny then someone is not tall.
Everyone who is not tall or strong is both rich and not rich and vice versa.
If mary is either not tall or humble then alice is both strong and curious and vice versa.
Everyone who is both not tall and happy is generous or not funny and vice versa.
Everyon... | Paul is patient. | entailment | ((?[X]:((patient(X)<~>funny(X))))=>(?[X]:(~tall(X))))&
(![X]:((~tall(X)|strong(X))<=>(rich(X)&~rich(X))))&
(((~tall(mary)<~>humble(mary)))<=>((strong(alice)&curious(alice))))&
(![X]:((~tall(X)&happy(X))<=>(generous(X)|~funny(X))))&
(![X]:((~funny(X)&~tall(X))=>(~happy(X)<~>~generous(X))))&
(((rich(susan)&~strong(susan)... | patient(paul) | [
"p0",
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8986958314679341193996595
% SZS output start Proof for 8986958314679341193996595
1. ? [X0] : (patient(X0) <~> funny(X0)) => ? [X0] : ~tall(X0) [input p0]
2. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (~rich(X0) & rich(X0))) [input p1]
4. ! [X0] : ((happy(X0) & ~tall(X0)) <=> (~funny(X0) | gen... | 0 |
Everyone who is either calm or funny is both not kind and not quiet and vice versa. Everyone who is both not funny and not curious is either happy or old. If someone is not strong or tall then someone is either brave or not old and vice versa. Everyone who is not calm or not patient is happy or brave and vice versa. Ev... | Lucy is not kind. | neutral | (![X]:((calm(X)<~>funny(X))<=>(~kind(X)&~quiet(X))))&
(![X]:((~funny(X)&~curious(X))=>(happy(X)<~>old(X))))&
((?[X]:((~strong(X)|tall(X))))<=>(?[X]:((brave(X)<~>~old(X)))))&
(![X]:((~calm(X)|~patient(X))<=>(happy(X)|brave(X))))&
(![X]:(wise(X)=>strong(X)))&
(((~creative(mary)<~>funny(mary)))=>((tall(alice)<~>~happy(ali... | ~kind(lucy) | [] | null | 0 |
Everyone who is either not tall or not creative is creative.
If mary is either strong or not quiet then lucy is either wise or curious and vice versa.
Everyone who is either wise or brave is not wise or not strong and vice versa.
If someone is either quiet or creative then john is either rich or not curious and vice ve... | Paul is not generous. | neutral | (![X]:((~tall(X)<~>~creative(X))=>creative(X)))&
(((strong(mary)<~>~quiet(mary)))<=>((wise(lucy)<~>curious(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~wise(X)|~strong(X))))&
((?[X]:((quiet(X)<~>creative(X))))<=>((rich(john)<~>~curious(john))))&
(![X]:((~rich(X)|brave(X))=>(calm(X)&~calm(X))))&
(((~brave(lucy)<~>~creative... | ~generous(paul) | [] | null | 0 |
Everyone who is either not old or tall is both not old and creative.
If mary is both wise and not kind then lucy is either wise or not brave.
If mary is not tall or not kind then fred is not brave or patient and vice versa.
If susan is not calm then someone is not wise or not old.
If lucy is either generous or tall the... | John is not rich. | neutral | (![X]:((~old(X)<~>tall(X))=>(~old(X)&creative(X))))&
(((wise(mary)&~kind(mary)))=>((wise(lucy)<~>~brave(lucy))))&
(((~tall(mary)|~kind(mary)))<=>((~brave(fred)|patient(fred))))&
((~calm(susan))=>(?[X]:((~wise(X)|~old(X)))))&
(((generous(lucy)<~>tall(lucy)))<=>((~rich(mary)|~tall(mary))))&
(![X]:((~wise(X)|quiet(X))<=>(... | ~rich(john) | [] | null | 0 |
Everyone who is both calm and happy is kind or strong. If john is patient then lucy is not wise or happy. Everyone who is not brave or not quiet is happy and vice versa. Everyone who is not quiet or brave is both tall and not patient and vice versa. Everyone who is both brave and not funny is both creative and brave an... | Alice is not patient. | neutral | (![X]:((calm(X)&happy(X))=>(kind(X)|strong(X))))&
((patient(john))=>((~wise(lucy)|happy(lucy))))&
(![X]:((~brave(X)|~quiet(X))<=>happy(X)))&
(![X]:((~quiet(X)|brave(X))<=>(tall(X)&~patient(X))))&
(![X]:((brave(X)&~funny(X))<=>(creative(X)&brave(X))))&
((?[X]:((~wise(X)&funny(X))))<=>((~patient(alice)|~tall(alice))))&
(... | ~patient(alice) | [] | null | 0 |
Everyone who is strong or not quiet is not strong or not humble and vice versa.
Everyone who is not calm is quiet.
Everyone who is not humble is either not creative or not happy.
Everyone who is either not humble or not tall is both happy and wise.
Everyone who is not brave is curious or not rich.
Everyone who is gener... | Alice is old. | entailment | (![X]:((strong(X)|~quiet(X))<=>(~strong(X)|~humble(X))))&
(![X]:(~calm(X)=>quiet(X)))&
(![X]:(~humble(X)=>(~creative(X)<~>~happy(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(happy(X)&wise(X))))&
(![X]:(~brave(X)=>(curious(X)|~rich(X))))&
(![X]:((generous(X)|~rich(X))=>~kind(X)))&
(![X]:((~happy(X)&calm(X))<=>(brave(X)<~>~br... | old(alice) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 89510627517978651044630
% SZS output start Proof for 89510627517978651044630
7. ! [X0] : ((calm(X0) & ~happy(X0)) <=> (brave(X0) <~> ~brave(X0))) [input p6]
10. ? [X0] : happy(X0) <=> ? [X0] : (~happy(X0) & ~old(X0)) [input p9]
25. ~old(alice) [input hypothesis]
26. ? [X0] : happy(X0) <=>... | 0 |
Everyone who is either brave or not creative is tall and vice versa.
Everyone who is either rich or not humble is old.
If someone is not kind then someone is both not kind and happy and vice versa.
Everyone who is funny or not happy is either kind or patient.
Everyone who is not brave is patient and vice versa.
Everyon... | Mary is not generous. | neutral | (![X]:((brave(X)<~>~creative(X))<=>tall(X)))&
(![X]:((rich(X)<~>~humble(X))=>old(X)))&
((?[X]:(~kind(X)))<=>(?[X]:((~kind(X)&happy(X)))))&
(![X]:((funny(X)|~happy(X))=>(kind(X)<~>patient(X))))&
(![X]:(~brave(X)<=>patient(X)))&
(![X]:((~generous(X)<~>creative(X))<=>~strong(X)))&
((~brave(alice))=>(?[X]:((calm(X)<~>~pati... | ~generous(mary) | [] | null | 0 |
Everyone who is not strong or not rich is both not humble and not patient and vice versa.
If mary is either not calm or not humble then someone is strong and vice versa.
Everyone who is rich or curious is either strong or brave and vice versa.
Everyone who is either not calm or not rich is humble or not happy and vice ... | Susan is not creative. | neutral | (![X]:((~strong(X)|~rich(X))<=>(~humble(X)&~patient(X))))&
(((~calm(mary)<~>~humble(mary)))<=>(?[X]:(strong(X))))&
(![X]:((rich(X)|curious(X))<=>(strong(X)<~>brave(X))))&
(![X]:((~calm(X)<~>~rich(X))<=>(humble(X)|~happy(X))))&
(![X]:((~patient(X)&kind(X))=>(~strong(X)|~creative(X))))&
(![X]:((curious(X)<~>tall(X))=>qui... | ~creative(susan) | [] | null | 0 |
Everyone who is either kind or creative is both tall and funny and vice versa.
Everyone who is either curious or not calm is not brave.
If fred is kind or not creative then someone is kind or brave.
Everyone who is old is brave and vice versa.
Everyone who is not old or not curious is either not creative or not brave.
... | Fred is strong. | neutral | (![X]:((kind(X)<~>creative(X))<=>(tall(X)&funny(X))))&
(![X]:((curious(X)<~>~calm(X))=>~brave(X)))&
(((kind(fred)|~creative(fred)))=>(?[X]:((kind(X)|brave(X)))))&
(![X]:(old(X)<=>brave(X)))&
(![X]:((~old(X)|~curious(X))=>(~creative(X)<~>~brave(X))))&
((?[X]:((~patient(X)&~humble(X))))=>((happy(mary)&~quiet(mary))))&
((... | strong(fred) | [] | null | 0 |
If someone is curious or not rich then paul is not wise and vice versa.
Everyone who is wise is not humble.
Everyone who is either creative or not strong is not happy or brave.
If mary is brave then someone is not funny and vice versa.
Everyone who is tall is strong or not funny and vice versa.
Everyone who is old or n... | Lucy is curious. | contradiction | ((?[X]:((curious(X)|~rich(X))))<=>(~wise(paul)))&
(![X]:(wise(X)=>~humble(X)))&
(![X]:((creative(X)<~>~strong(X))=>(~happy(X)|brave(X))))&
((brave(mary))<=>(?[X]:(~funny(X))))&
(![X]:(tall(X)<=>(strong(X)|~funny(X))))&
(![X]:((old(X)|~brave(X))<=>~happy(X)))&
(![X]:((old(X)&tall(X))<=>(rich(X)<~>~happy(X))))&
(![X]:((~... | curious(lucy) | [
"p5",
"p6",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8991480240518777188280614
% SZS output start Proof for 8991480240518777188280614
6. ! [X0] : ((~brave(X0) | old(X0)) <=> ~happy(X0)) [input p5]
7. ! [X0] : ((tall(X0) & old(X0)) <=> (rich(X0) <~> ~happy(X0))) [input p6]
13. ? [X0] : ~rich(X0) => ~curious(lucy) [input p12]
16. ! [X0] : ((r... | 0 |
Everyone who is not kind or strong is either generous or not tall. Everyone who is not humble or generous is not rich and vice versa. Everyone who is calm or not rich is not brave. Everyone who is both generous and not creative is either patient or funny and vice versa. Everyone who is calm or quiet is not patient or k... | Lucy is not calm. | neutral | (![X]:((~kind(X)|strong(X))=>(generous(X)<~>~tall(X))))&
(![X]:((~humble(X)|generous(X))<=>~rich(X)))&
(![X]:((calm(X)|~rich(X))=>~brave(X)))&
(![X]:((generous(X)&~creative(X))<=>(patient(X)<~>funny(X))))&
(![X]:((calm(X)|quiet(X))=>(~patient(X)|kind(X))))&
(![X]:((~funny(X)<~>rich(X))=>(~happy(X)&rich(X))))&
(![X]:((w... | ~calm(lucy) | [] | null | 0 |
If someone is not wise or curious then lucy is rich.
If someone is strong or not calm then alice is rich or generous and vice versa.
Everyone who is either not rich or happy is not tall or not kind and vice versa.
Everyone who is old or not old is both not kind and not happy.
If paul is both happy and not quiet then ma... | Paul is kind. | contradiction | ((?[X]:((~wise(X)|curious(X))))=>(rich(lucy)))&
((?[X]:((strong(X)|~calm(X))))<=>((rich(alice)|generous(alice))))&
(![X]:((~rich(X)<~>happy(X))<=>(~tall(X)|~kind(X))))&
(![X]:((old(X)|~old(X))=>(~kind(X)&~happy(X))))&
(((happy(paul)&~quiet(paul)))=>((brave(mary)|wise(mary))))&
(![X]:((creative(X)&generous(X))=>curious(... | kind(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4433675483012919657544440
% SZS output start Proof for 4433675483012919657544440
4. ! [X0] : ((~old(X0) | old(X0)) => (~happy(X0) & ~kind(X0))) [input p3]
20. kind(paul) [input hypothesis]
24. ! [X0] : ((~happy(X0) & ~kind(X0)) | (old(X0) & ~old(X0))) [ennf transformation 4]
80. ~kind(X0)... | 0 |
Everyone who is not rich is both humble and happy. Everyone who is either brave or tall is tall or not old and vice versa. Everyone who is quiet is either not creative or tall. If susan is both creative and not funny then someone is not curious. Everyone who is not brave is both generous and not curious and vice versa.... | Lucy is not humble. | contradiction | (![X]:(~rich(X)=>(humble(X)&happy(X))))&
(![X]:((brave(X)<~>tall(X))<=>(tall(X)|~old(X))))&
(![X]:(quiet(X)=>(~creative(X)<~>tall(X))))&
(((creative(susan)&~funny(susan)))=>(?[X]:(~curious(X))))&
(![X]:(~brave(X)<=>(generous(X)&~curious(X))))&
(![X]:((~patient(X)<~>humble(X))<=>(quiet(X)<~>funny(X))))&
(![X]:((~quiet(X... | ~humble(lucy) | [
"p5",
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6454619987676628428840699
% SZS output start Proof for 6454619987676628428840699
6. ! [X0] : ((~patient(X0) <~> humble(X0)) <=> (quiet(X0) <~> funny(X0))) [input p5]
7. ! [X0] : ((~humble(X0) & ~quiet(X0)) <=> (~brave(X0) & humble(X0))) [input p6]
18. patient(lucy) <~> funny(lucy) [input ... | 0 |
Everyone who is both brave and humble is calm or not tall.
Everyone who is either not patient or not quiet is not tall or patient and vice versa.
Everyone who is either not curious or strong is either old or happy and vice versa.
Everyone who is either happy or patient is happy or not creative.
If someone is both not c... | Paul is generous. | contradiction | (![X]:((brave(X)&humble(X))=>(calm(X)|~tall(X))))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~tall(X)|patient(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(old(X)<~>happy(X))))&
(![X]:((happy(X)<~>patient(X))=>(happy(X)|~creative(X))))&
((?[X]:((~curious(X)&~rich(X))))<=>((~patient(mary)|~funny(mary))))&
(((old(john)|~brave(joh... | generous(paul) | [
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4388628094067639835238644
% SZS output start Proof for 4388628094067639835238644
12. ? [X0] : generous(X0) <=> ? [X0] : (brave(X0) & ~creative(X0)) [input p11]
14. ! [X0] : ((old(X0) | ~funny(X0)) <=> (brave(X0) <~> ~creative(X0))) [input p13]
16. ! [X0] : (~funny(X0) <=> (~creative(X0) |... | 0 |
If paul is both not rich and tall then john is both wise and not patient.
Everyone who is quiet or creative is not patient and vice versa.
If someone is either generous or curious then mary is both not brave and not patient and vice versa.
If someone is kind then john is both wise and not wise and vice versa.
Everyone ... | John is not funny. | entailment | (((~rich(paul)&tall(paul)))=>((wise(john)&~patient(john))))&
(![X]:((quiet(X)|creative(X))<=>~patient(X)))&
((?[X]:((generous(X)<~>curious(X))))<=>((~brave(mary)&~patient(mary))))&
((?[X]:(kind(X)))<=>((wise(john)&~wise(john))))&
(![X]:((patient(X)&~wise(X))<=>(~rich(X)<~>curious(X))))&
((?[X]:((brave(X)<~>~brave(X))))... | ~funny(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3037364274348275262620141
% SZS output start Proof for 3037364274348275262620141
8. ? [X0] : (~tall(X0) | funny(X0)) <=> (~generous(john) & generous(john)) [input p7]
23. funny(john) [input hypothesis]
55. (? [X0] : (~tall(X0) | funny(X0)) | (generous(john) | ~generous(john))) & ((~genero... | 0 |
Everyone who is rich is not generous and vice versa.
Everyone who is either not calm or wise is both tall and not wise and vice versa.
Everyone who is humble or patient is not happy.
If someone is not rich or not wise then someone is strong and vice versa.
Everyone who is creative or not wise is not wise or not happy.
... | John is not quiet. | neutral | (![X]:(rich(X)<=>~generous(X)))&
(![X]:((~calm(X)<~>wise(X))<=>(tall(X)&~wise(X))))&
(![X]:((humble(X)|patient(X))=>~happy(X)))&
((?[X]:((~rich(X)|~wise(X))))<=>(?[X]:(strong(X))))&
(![X]:((creative(X)|~wise(X))=>(~wise(X)|~happy(X))))&
(((patient(lucy)&~strong(lucy)))<=>(?[X]:((~brave(X)|~humble(X)))))&
(![X]:((~rich(... | ~quiet(john) | [] | null | 0 |
If someone is both not rich and not tall then alice is not creative or funny and vice versa. Everyone who is creative or not strong is both calm and not rich. Everyone who is patient or not rich is strong or not tall. If mary is both quiet and not brave then john is both strong and brave and vice versa. Everyone who is... | Lucy is tall. | neutral | ((?[X]:((~rich(X)&~tall(X))))<=>((~creative(alice)|funny(alice))))&
(![X]:((creative(X)|~strong(X))=>(calm(X)&~rich(X))))&
(![X]:((patient(X)|~rich(X))=>(strong(X)|~tall(X))))&
(((quiet(mary)&~brave(mary)))<=>((strong(john)&brave(john))))&
(![X]:((happy(X)&funny(X))<=>happy(X)))&
(![X]:((~humble(X)&~curious(X))<=>(~str... | tall(lucy) | [] | null | 0 |
If someone is either strong or happy then susan is not happy or not humble and vice versa.
If someone is either not curious or not strong then someone is not curious or funny.
If mary is either tall or not tall then someone is brave or not kind.
Everyone who is not creative is both creative and not strong.
Everyone who... | Fred is not old. | entailment | ((?[X]:((strong(X)<~>happy(X))))<=>((~happy(susan)|~humble(susan))))&
((?[X]:((~curious(X)<~>~strong(X))))=>(?[X]:((~curious(X)|funny(X)))))&
(((tall(mary)<~>~tall(mary)))=>(?[X]:((brave(X)|~kind(X)))))&
(![X]:(~creative(X)=>(creative(X)&~strong(X))))&
(![X]:((~tall(X)|~rich(X))<=>creative(X)))&
((?[X]:(funny(X)))<=>(?... | ~old(fred) | [
"p5",
"p6",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1507623115245959006134773
% SZS output start Proof for 1507623115245959006134773
6. ? [X0] : funny(X0) <=> ? [X0] : (~wise(X0) & ~patient(X0)) [input p5]
7. ! [X0] : ((happy(X0) & strong(X0)) <=> (~rich(X0) | ~wise(X0))) [input p6]
12. (~wise(fred) & ~old(fred)) <=> ? [X0] : (~strong(X0) ... | 0 |
Everyone who is either not patient or wise is funny or generous and vice versa.
Everyone who is generous or kind is curious.
Everyone who is either not old or not generous is either not patient or generous.
If someone is rich then lucy is not rich or not generous.
Everyone who is either not kind or not patient is both ... | Lucy is calm. | contradiction | (![X]:((~patient(X)<~>wise(X))<=>(funny(X)|generous(X))))&
(![X]:((generous(X)|kind(X))=>curious(X)))&
(![X]:((~old(X)<~>~generous(X))=>(~patient(X)<~>generous(X))))&
((?[X]:(rich(X)))=>((~rich(lucy)|~generous(lucy))))&
(![X]:((~kind(X)<~>~patient(X))<=>(~generous(X)&wise(X))))&
(((~funny(mary)|strong(mary)))=>(~curiou... | calm(lucy) | [
"p0",
"p1",
"p4",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8547703987866686662964523
% SZS output start Proof for 8547703987866686662964523
1. ! [X0] : ((~patient(X0) <~> wise(X0)) <=> (generous(X0) | funny(X0))) [input p0]
2. ! [X0] : ((kind(X0) | generous(X0)) => curious(X0)) [input p1]
5. ! [X0] : ((~kind(X0) <~> ~patient(X0)) <=> (wise(X0) & ... | 0 |
If fred is both calm and not calm then someone is either kind or not brave and vice versa.
If susan is generous or calm then fred is either not creative or rich and vice versa.
Everyone who is tall or not patient is both not humble and funny and vice versa.
Everyone who is either not rich or patient is wise and vice ve... | Alice is tall. | contradiction | (((calm(fred)&~calm(fred)))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(((generous(susan)|calm(susan)))<=>((~creative(fred)<~>rich(fred))))&
(![X]:((tall(X)|~patient(X))<=>(~humble(X)&funny(X))))&
(![X]:((~rich(X)<~>patient(X))<=>wise(X)))&
(((~creative(alice)&~happy(alice)))=>(?[X]:((~happy(X)|curious(X)))))&
(![X]:(~brave(X)... | tall(alice) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 442236221381412783547805
% SZS output start Proof for 442236221381412783547805
3. ! [X0] : ((~patient(X0) | tall(X0)) <=> (funny(X0) & ~humble(X0))) [input p2]
7. ? [X0] : (~funny(X0) <~> ~humble(X0)) <=> (~kind(alice) & humble(alice)) [input p6]
25. tall(alice) [input hypothesis]
47. ! [... | 0 |
If someone is humble then paul is not calm or not wise.
Everyone who is not rich is both not happy and creative.
If someone is not kind then alice is both not creative and happy and vice versa.
Everyone who is generous is not rich or not old and vice versa.
Everyone who is happy or curious is generous or calm and vice ... | Fred is not curious. | neutral | ((?[X]:(humble(X)))=>((~calm(paul)|~wise(paul))))&
(![X]:(~rich(X)=>(~happy(X)&creative(X))))&
((?[X]:(~kind(X)))<=>((~creative(alice)&happy(alice))))&
(![X]:(generous(X)<=>(~rich(X)|~old(X))))&
(![X]:((happy(X)|curious(X))<=>(generous(X)|calm(X))))&
((?[X]:((~strong(X)|rich(X))))<=>(~tall(paul)))&
(![X]:(happy(X)=>(fu... | ~curious(fred) | [] | null | 0 |
Everyone who is kind or rich is both not old and not wise.
Everyone who is not happy is wise or not patient and vice versa.
Everyone who is not old or calm is either not kind or calm and vice versa.
Everyone who is calm is either not brave or not humble.
Everyone who is either not humble or not creative is either humbl... | Lucy is not calm. | entailment | (![X]:((kind(X)|rich(X))=>(~old(X)&~wise(X))))&
(![X]:(~happy(X)<=>(wise(X)|~patient(X))))&
(![X]:((~old(X)|calm(X))<=>(~kind(X)<~>calm(X))))&
(![X]:(calm(X)=>(~brave(X)<~>~humble(X))))&
(![X]:((~humble(X)<~>~creative(X))=>(humble(X)<~>~patient(X))))&
((?[X]:((wise(X)|happy(X))))<=>((calm(fred)<~>~generous(fred))))&
(!... | ~calm(lucy) | [
"p7",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6289567052362992202439285
% SZS output start Proof for 6289567052362992202439285
8. ! [X0] : ((creative(X0) <~> ~funny(X0)) <=> (creative(X0) | ~rich(X0))) [input p7]
11. ! [X0] : (calm(X0) <=> (~funny(X0) & patient(X0))) [input p10]
17. creative(lucy) [input p16]
22. calm(lucy) [input hy... | 0 |
If susan is patient or not humble then someone is not funny and vice versa. Everyone who is not calm is curious or funny. If susan is both quiet and curious then lucy is humble or not rich. Everyone who is both not funny and not old is not quiet or not wise and vice versa. Everyone who is rich is not brave or generous ... | Susan is not humble. | neutral | (((patient(susan)|~humble(susan)))<=>(?[X]:(~funny(X))))&
(![X]:(~calm(X)=>(curious(X)|funny(X))))&
(((quiet(susan)&curious(susan)))=>((humble(lucy)|~rich(lucy))))&
(![X]:((~funny(X)&~old(X))<=>(~quiet(X)|~wise(X))))&
(![X]:(rich(X)<=>(~brave(X)|generous(X))))&
(![X]:((creative(X)|brave(X))<=>(~humble(X)|~brave(X))))&
... | ~humble(susan) | [] | null | 0 |
If someone is not wise then john is both happy and quiet. Everyone who is either quiet or funny is strong or creative. If john is both humble and curious then lucy is either not curious or not wise. If someone is either not wise or strong then someone is either generous or not quiet. Everyone who is either old or brave... | Alice is funny. | entailment | ((?[X]:(~wise(X)))=>((happy(john)&quiet(john))))&
(![X]:((quiet(X)<~>funny(X))=>(strong(X)|creative(X))))&
(((humble(john)&curious(john)))=>((~curious(lucy)<~>~wise(lucy))))&
((?[X]:((~wise(X)<~>strong(X))))=>(?[X]:((generous(X)<~>~quiet(X)))))&
(![X]:((old(X)<~>brave(X))=>(~funny(X)<~>~brave(X))))&
(![X]:((~strong(X)&... | funny(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8768077036614295252108707
% SZS output start Proof for 8768077036614295252108707
12. ! [X0] : ((~funny(X0) & tall(X0)) <=> ~tall(X0)) [input p11]
24. ~funny(alice) [input hypothesis]
58. ! [X0] : (((~funny(X0) & tall(X0)) | tall(X0)) & (~tall(X0) | (funny(X0) | ~tall(X0)))) [nnf transform... | 0 |
If paul is calm or not brave then paul is kind. If john is humble then someone is kind or not rich and vice versa. Everyone who is both not rich and not funny is both calm and patient and vice versa. Everyone who is either not calm or humble is generous or not generous. Everyone who is either not quiet or funny is both... | John is generous. | neutral | (((calm(paul)|~brave(paul)))=>(kind(paul)))&
((humble(john))<=>(?[X]:((kind(X)|~rich(X)))))&
(![X]:((~rich(X)&~funny(X))<=>(calm(X)&patient(X))))&
(![X]:((~calm(X)<~>humble(X))=>(generous(X)|~generous(X))))&
(![X]:((~quiet(X)<~>funny(X))<=>(~old(X)&~patient(X))))&
(((~curious(lucy)<~>humble(lucy)))<=>((brave(john)&gene... | generous(john) | [] | null | 0 |
If mary is not calm or funny then someone is either not old or not happy and vice versa.
Everyone who is both kind and wise is creative or not happy and vice versa.
Everyone who is both not calm and not quiet is calm or not old.
Everyone who is tall is wise or tall and vice versa.
Everyone who is not calm is either hap... | Mary is calm. | neutral | (((~calm(mary)|funny(mary)))<=>(?[X]:((~old(X)<~>~happy(X)))))&
(![X]:((kind(X)&wise(X))<=>(creative(X)|~happy(X))))&
(![X]:((~calm(X)&~quiet(X))=>(calm(X)|~old(X))))&
(![X]:(tall(X)<=>(wise(X)|tall(X))))&
(![X]:(~calm(X)<=>(happy(X)<~>~kind(X))))&
(![X]:((quiet(X)|generous(X))<=>~humble(X)))&
(![X]:((~old(X)&~happy(X)... | calm(mary) | [] | null | 0 |
If john is both not brave and curious then someone is creative and vice versa. Everyone who is not wise or brave is brave or not old and vice versa. Everyone who is funny or not generous is both patient and old. Everyone who is either not funny or wise is brave and vice versa. Everyone who is wise or not kind is not pa... | Mary is not brave. | contradiction | (((~brave(john)&curious(john)))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|brave(X))<=>(brave(X)|~old(X))))&
(![X]:((funny(X)|~generous(X))=>(patient(X)&old(X))))&
(![X]:((~funny(X)<~>wise(X))<=>brave(X)))&
(![X]:((wise(X)|~kind(X))<=>~patient(X)))&
(![X]:(creative(X)=>patient(X)))&
((?[X]:((~generous(X)|rich(X))))=>(?[... | ~brave(mary) | [
"p2",
"p3",
"p4",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9007312329441882649381041
% SZS output start Proof for 9007312329441882649381041
3. ! [X0] : ((~generous(X0) | funny(X0)) => (old(X0) & patient(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> wise(X0)) <=> brave(X0)) [input p3]
5. ! [X0] : ((~kind(X0) | wise(X0)) <=> ~patient(X0)) [input p4... | 0 |
If mary is either patient or not quiet then someone is either brave or not strong and vice versa.
Everyone who is kind or rich is either not old or not humble.
If someone is both generous and not quiet then someone is not generous or rich.
If someone is not old or brave then someone is both not old and rich.
Everyone w... | Paul is not curious. | contradiction | (((patient(mary)<~>~quiet(mary)))<=>(?[X]:((brave(X)<~>~strong(X)))))&
(![X]:((kind(X)|rich(X))=>(~old(X)<~>~humble(X))))&
((?[X]:((generous(X)&~quiet(X))))=>(?[X]:((~generous(X)|rich(X)))))&
((?[X]:((~old(X)|brave(X))))=>(?[X]:((~old(X)&rich(X)))))&
(![X]:((~old(X)|happy(X))=>(~wise(X)|creative(X))))&
(![X]:(~curious(... | ~curious(paul) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 311742575851239469987292
% SZS output start Proof for 311742575851239469987292
12. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> ~calm(X0)) [input p11]
16. (~curious(paul) | rich(paul)) <=> (~calm(mary) & happy(mary)) [input p15]
23. ~curious(paul) [input hypothesis]
60. ! [X0] : (((~happy(X0... | 0 |
If fred is brave then alice is either quiet or patient and vice versa.
If lucy is both creative and not creative then someone is not quiet and vice versa.
If someone is either not generous or patient then someone is either not brave or calm.
Everyone who is both not kind and curious is either wise or not happy and vice... | Lucy is happy. | entailment | ((brave(fred))<=>((quiet(alice)<~>patient(alice))))&
(((creative(lucy)&~creative(lucy)))<=>(?[X]:(~quiet(X))))&
((?[X]:((~generous(X)<~>patient(X))))=>(?[X]:((~brave(X)<~>calm(X)))))&
(![X]:((~kind(X)&curious(X))<=>(wise(X)<~>~happy(X))))&
((?[X]:((~generous(X)<~>kind(X))))=>((~happy(mary)&~curious(mary))))&
(![X]:((~c... | happy(lucy) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6058077716748039155698627
% SZS output start Proof for 6058077716748039155698627
4. ! [X0] : ((curious(X0) & ~kind(X0)) <=> (wise(X0) <~> ~happy(X0))) [input p3]
5. ? [X0] : (~generous(X0) <~> kind(X0)) => (~curious(mary) & ~happy(mary)) [input p4]
10. ! [X0] : ((~wise(X0) & generous(X0))... | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa.
If someone is not wise or humble then mary is patient or strong.
If lucy is curious then someone is not brave and vice versa.
Everyone who is not old or not brave is either happy or not old.
Everyone who is curious or tall i... | Paul is tall. | contradiction | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
((?[X]:((~wise(X)|humble(X))))=>((patient(mary)|strong(mary))))&
((curious(lucy))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)|~brave(X))=>(happy(X)<~>~old(X))))&
(![X]:((curious(X)|tall(X))=>calm(X)))&
((?[X]:((tall(X)&~curious(X))))=>((~brave(paul)|~creative(paul)... | tall(paul) | [
"p0",
"p9",
"p10",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6267654882893338957111908
% SZS output start Proof for 6267654882893338957111908
1. ! [X0] : ((~brave(X0) <~> ~generous(X0)) <=> (~tall(X0) & ~brave(X0))) [input p0]
10. ! [X0] : ((~wise(X0) | ~funny(X0)) => (~wise(X0) & strong(X0))) [input p9]
11. ! [X0] : ((tall(X0) & ~curious(X0)) <=> ... | 0 |
Everyone who is both kind and not tall is either not funny or not creative. Everyone who is not strong is kind or not tall and vice versa. If someone is creative or not curious then lucy is either not old or brave and vice versa. Everyone who is both calm and not happy is not generous and vice versa. If someone is not ... | Mary is quiet. | neutral | (![X]:((kind(X)&~tall(X))=>(~funny(X)<~>~creative(X))))&
(![X]:(~strong(X)<=>(kind(X)|~tall(X))))&
((?[X]:((creative(X)|~curious(X))))<=>((~old(lucy)<~>brave(lucy))))&
(![X]:((calm(X)&~happy(X))<=>~generous(X)))&
((?[X]:((~calm(X)|~patient(X))))=>(?[X]:((creative(X)<~>~humble(X)))))&
(![X]:(~curious(X)=>(brave(X)<~>cre... | quiet(mary) | [] | null | 0 |
If someone is both patient and calm then someone is either not humble or not quiet and vice versa.
Everyone who is not creative is not tall and vice versa.
Everyone who is either strong or not brave is not happy and vice versa.
Everyone who is either not calm or wise is not calm.
Everyone who is rich is both not strong... | Mary is happy. | contradiction | ((?[X]:((patient(X)&calm(X))))<=>(?[X]:((~humble(X)<~>~quiet(X)))))&
(![X]:(~creative(X)<=>~tall(X)))&
(![X]:((strong(X)<~>~brave(X))<=>~happy(X)))&
(![X]:((~calm(X)<~>wise(X))=>~calm(X)))&
(![X]:(rich(X)<=>(~strong(X)&happy(X))))&
(![X]:((~old(X)<~>generous(X))<=>wise(X)))&
(((strong(mary)&kind(mary)))=>(?[X]:((happy(... | happy(mary) | [
"p2",
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5095140299905754877205130
% SZS output start Proof for 5095140299905754877205130
3. ! [X0] : ((strong(X0) <~> ~brave(X0)) <=> ~happy(X0)) [input p2]
5. ! [X0] : (rich(X0) <=> (happy(X0) & ~strong(X0))) [input p4]
17. rich(mary) <~> brave(mary) [input p16]
25. happy(mary) [input hypothesis... | 0 |
Everyone who is not humble or not creative is either not calm or generous and vice versa. If someone is not calm then susan is not kind or not strong and vice versa. Everyone who is both funny and not generous is not generous and vice versa. Everyone who is both not calm and creative is not curious and vice versa. If j... | Fred is strong. | entailment | (![X]:((~humble(X)|~creative(X))<=>(~calm(X)<~>generous(X))))&
((?[X]:(~calm(X)))<=>((~kind(susan)|~strong(susan))))&
(![X]:((funny(X)&~generous(X))<=>~generous(X)))&
(![X]:((~calm(X)&creative(X))<=>~curious(X)))&
(((~calm(john)&~generous(john)))=>(?[X]:((curious(X)&~patient(X)))))&
((~rich(john))<=>(?[X]:((~funny(X)<~... | strong(fred) | [
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4553640704883011829165656
% SZS output start Proof for 4553640704883011829165656
7. ! [X0] : ((calm(X0) & ~strong(X0)) => (~calm(X0) <~> quiet(X0))) [input p6]
9. ! [X0] : (quiet(X0) => ~quiet(X0)) [input p8]
12. ! [X0] : ((~old(X0) | ~quiet(X0)) => (brave(X0) & calm(X0))) [input p11]
24.... | 0 |
If someone is not wise or not strong then susan is both not curious and patient.
Everyone who is either curious or generous is either patient or not generous.
If someone is not curious then lucy is both not kind and not creative and vice versa.
If someone is both patient and strong then mary is not tall.
If paul is hum... | Susan is not patient. | contradiction | ((?[X]:((~wise(X)|~strong(X))))=>((~curious(susan)&patient(susan))))&
(![X]:((curious(X)<~>generous(X))=>(patient(X)<~>~generous(X))))&
((?[X]:(~curious(X)))<=>((~kind(lucy)&~creative(lucy))))&
((?[X]:((patient(X)&strong(X))))=>(~tall(mary)))&
((humble(paul))=>((~patient(alice)|wise(alice))))&
((?[X]:((~happy(X)&wise(X... | ~patient(susan) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3282285133551898832310630
% SZS output start Proof for 3282285133551898832310630
1. ? [X0] : (~strong(X0) | ~wise(X0)) => (patient(susan) & ~curious(susan)) [input p0]
21. ~tall(lucy) & ~wise(lucy) [input p20]
25. ~patient(susan) [input hypothesis]
29. (patient(susan) & ~curious(susan)) |... | 0 |
If lucy is not wise then someone is not quiet and vice versa.
Everyone who is not generous or wise is either curious or happy.
Everyone who is not rich or not funny is wise.
Everyone who is both not curious and patient is not calm and vice versa.
If paul is either not humble or old then someone is either tall or not hu... | Paul is curious. | entailment | ((~wise(lucy))<=>(?[X]:(~quiet(X))))&
(![X]:((~generous(X)|wise(X))=>(curious(X)<~>happy(X))))&
(![X]:((~rich(X)|~funny(X))=>wise(X)))&
(![X]:((~curious(X)&patient(X))<=>~calm(X)))&
(((~humble(paul)<~>old(paul)))<=>(?[X]:((tall(X)<~>~humble(X)))))&
(((~quiet(alice)<~>~creative(alice)))<=>((~funny(lucy)&~calm(lucy))))&
... | curious(paul) | [
"p1",
"p2",
"p8",
"p10",
"p11",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4651053704757113170837353
% SZS output start Proof for 4651053704757113170837353
2. ! [X0] : ((wise(X0) | ~generous(X0)) => (curious(X0) <~> happy(X0))) [input p1]
3. ! [X0] : ((~funny(X0) | ~rich(X0)) => wise(X0)) [input p2]
9. ! [X0] : (old(X0) <=> (generous(X0) <~> wise(X0))) [input p8... | 0 |
If someone is both not calm and curious then someone is either not humble or rich.
If someone is both humble and not tall then someone is not funny or not tall.
Everyone who is calm is not humble or strong.
If alice is both not rich and calm then someone is strong and vice versa.
If someone is either happy or not patie... | Alice is not strong. | entailment | ((?[X]:((~calm(X)&curious(X))))=>(?[X]:((~humble(X)<~>rich(X)))))&
((?[X]:((humble(X)&~tall(X))))=>(?[X]:((~funny(X)|~tall(X)))))&
(![X]:(calm(X)=>(~humble(X)|strong(X))))&
(((~rich(alice)&calm(alice)))<=>(?[X]:(strong(X))))&
((?[X]:((happy(X)<~>~patient(X))))<=>(?[X]:(~funny(X))))&
((quiet(paul))=>(?[X]:((~tall(X)<~>p... | ~strong(alice) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 667556269455446879366224
% SZS output start Proof for 667556269455446879366224
4. (calm(alice) & ~rich(alice)) <=> ? [X0] : strong(X0) [input p3]
9. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> (~rich(X0) | ~funny(X0))) [input p8]
24. strong(alice) [input hypothesis]
46. ((calm(alice) & ~rich... | 0 |
If someone is both not calm and old then someone is either rich or not tall. Everyone who is not old is not wise and vice versa. Everyone who is both not patient and not wise is funny and vice versa. Everyone who is not curious or funny is both not calm and wise. Everyone who is old or not strong is tall. Everyone who ... | Alice is not old. | entailment | ((?[X]:((~calm(X)&old(X))))=>(?[X]:((rich(X)<~>~tall(X)))))&
(![X]:(~old(X)<=>~wise(X)))&
(![X]:((~patient(X)&~wise(X))<=>funny(X)))&
(![X]:((~curious(X)|funny(X))=>(~calm(X)&wise(X))))&
(![X]:((old(X)|~strong(X))=>tall(X)))&
(![X]:((~old(X)<~>~quiet(X))=>~curious(X)))&
(((wise(alice)|quiet(alice)))=>(?[X]:((tall(X)<~>... | ~old(alice) | [
"p1",
"p2",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 87827793202660500558639
% SZS output start Proof for 87827793202660500558639
2. ! [X0] : (~old(X0) <=> ~wise(X0)) [input p1]
3. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> funny(X0)) [input p2]
4. ! [X0] : ((funny(X0) | ~curious(X0)) => (wise(X0) & ~calm(X0))) [input p3]
12. ! [X0] : (~funny... | 0 |
Everyone who is brave is either quiet or not funny.
If someone is either not happy or not humble then someone is not creative.
Everyone who is either not kind or wise is not funny and vice versa.
If someone is either not humble or not brave then paul is tall or not brave.
Everyone who is not quiet or not rich is not qu... | John is patient. | entailment | (![X]:(brave(X)=>(quiet(X)<~>~funny(X))))&
((?[X]:((~happy(X)<~>~humble(X))))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>wise(X))<=>~funny(X)))&
((?[X]:((~humble(X)<~>~brave(X))))=>((tall(paul)|~brave(paul))))&
(![X]:((~quiet(X)|~rich(X))=>~quiet(X)))&
((?[X]:((generous(X)<~>~generous(X))))<=>(?[X]:((~curious(X)<~>hum... | patient(john) | [
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9012379449598839392171437
% SZS output start Proof for 9012379449598839392171437
9. ! [X0] : ((brave(X0) | ~calm(X0)) <=> (patient(X0) <~> ~wise(X0))) [input p8]
14. ! [X0] : ((patient(X0) <~> ~brave(X0)) => (~tall(X0) & ~calm(X0))) [input p13]
16. ! [X0] : ((wise(X0) <~> ~happy(X0)) <=> ... | 0 |
Everyone who is not old is not calm or not patient and vice versa.
If someone is not calm then someone is either not quiet or quiet and vice versa.
Everyone who is both rich and not patient is either not quiet or brave.
Everyone who is not humble or strong is both not quiet and not old.
Everyone who is humble is both n... | Mary is curious. | contradiction | (![X]:(~old(X)<=>(~calm(X)|~patient(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:((rich(X)&~patient(X))=>(~quiet(X)<~>brave(X))))&
(![X]:((~humble(X)|strong(X))=>(~quiet(X)&~old(X))))&
(![X]:(humble(X)=>(~calm(X)&tall(X))))&
(((~brave(fred)&~rich(fred)))=>((humble(mary)|wise(mary))))&
(![X]:(kind... | curious(mary) | [
"p3",
"p5",
"p10",
"p11",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4764910480469299284347743
% SZS output start Proof for 4764910480469299284347743
4. ! [X0] : ((strong(X0) | ~humble(X0)) => (~old(X0) & ~quiet(X0))) [input p3]
6. (~rich(fred) & ~brave(fred)) => (wise(mary) | humble(mary)) [input p5]
11. ! [X0] : ((patient(X0) | humble(X0)) <=> ~humble(X0... | 0 |
Everyone who is patient or not humble is both not old and not quiet and vice versa. If someone is both strong and rich then someone is not quiet or old and vice versa. If paul is strong then lucy is either quiet or not wise. Everyone who is calm is happy and vice versa. Everyone who is kind is not creative or not old a... | Susan is patient. | contradiction | (![X]:((patient(X)|~humble(X))<=>(~old(X)&~quiet(X))))&
((?[X]:((strong(X)&rich(X))))<=>(?[X]:((~quiet(X)|old(X)))))&
((strong(paul))=>((quiet(lucy)<~>~wise(lucy))))&
(![X]:(calm(X)<=>happy(X)))&
(![X]:(kind(X)<=>(~creative(X)|~old(X))))&
((?[X]:((~rich(X)<~>wise(X))))=>((~strong(alice)<~>~funny(alice))))&
(((kind(lucy... | patient(susan) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5065852393332372945548110
% SZS output start Proof for 5065852393332372945548110
1. ! [X0] : ((~humble(X0) | patient(X0)) <=> (~quiet(X0) & ~old(X0))) [input p0]
9. ! [X0] : ((patient(X0) | calm(X0)) => (quiet(X0) & ~old(X0))) [input p8]
24. patient(susan) [input hypothesis]
32. ! [X0] : ... | 0 |
Everyone who is strong or not curious is either happy or not curious and vice versa.
If alice is not generous then lucy is not wise or curious.
Everyone who is both old and not strong is either not funny or not happy and vice versa.
Everyone who is not curious is creative or tall and vice versa.
If someone is not wise ... | Mary is not curious. | entailment | (![X]:((strong(X)|~curious(X))<=>(happy(X)<~>~curious(X))))&
((~generous(alice))=>((~wise(lucy)|curious(lucy))))&
(![X]:((old(X)&~strong(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:(~curious(X)<=>(creative(X)|tall(X))))&
((?[X]:((~wise(X)|~creative(X))))<=>((~humble(john)&curious(john))))&
((?[X]:((funny(X)<~>creative(X))))... | ~curious(mary) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9184584933404005170163709
% SZS output start Proof for 9184584933404005170163709
1. ! [X0] : ((~curious(X0) | strong(X0)) <=> (happy(X0) <~> ~curious(X0))) [input p0]
3. ! [X0] : ((~strong(X0) & old(X0)) <=> (~funny(X0) <~> ~happy(X0))) [input p2]
4. ! [X0] : (~curious(X0) <=> (tall(X0) |... | 0 |
If someone is either not curious or not wise then alice is not old and vice versa.
If susan is generous then someone is not tall or rich.
Everyone who is both not patient and not creative is brave and vice versa.
Everyone who is both not funny and funny is not curious or not tall and vice versa.
If someone is creative ... | Alice is not humble. | entailment | ((?[X]:((~curious(X)<~>~wise(X))))<=>(~old(alice)))&
((generous(susan))=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:((~patient(X)&~creative(X))<=>brave(X)))&
(![X]:((~funny(X)&funny(X))<=>(~curious(X)|~tall(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
(((calm(lucy)&funny(lucy)))<=>((rich(ma... | ~humble(alice) | [
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8854688256337689750384183
% SZS output start Proof for 8854688256337689750384183
4. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (~tall(X0) | ~curious(X0))) [input p3]
8. ! [X0] : (generous(X0) <=> ~curious(X0)) [input p7]
9. ! [X0] : ((~humble(X0) & ~quiet(X0)) <=> ~generous(X0)) [input p8]
22... | 0 |
If mary is either not rich or not generous then someone is both not calm and happy.
If someone is not happy then someone is both not calm and rich.
Everyone who is creative or not tall is generous.
Everyone who is wise or quiet is not generous.
If someone is humble or not brave then someone is not patient.
Everyone who... | Paul is patient. | contradiction | (((~rich(mary)<~>~generous(mary)))=>(?[X]:((~calm(X)&happy(X)))))&
((?[X]:(~happy(X)))=>(?[X]:((~calm(X)&rich(X)))))&
(![X]:((creative(X)|~tall(X))=>generous(X)))&
(![X]:((wise(X)|quiet(X))=>~generous(X)))&
((?[X]:((humble(X)|~brave(X))))=>(?[X]:(~patient(X))))&
(![X]:((tall(X)&~generous(X))=>~happy(X)))&
(((~funny(mar... | patient(paul) | [
"p2",
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1001657621969436641741934
% SZS output start Proof for 1001657621969436641741934
3. ! [X0] : ((~tall(X0) | creative(X0)) => generous(X0)) [input p2]
4. ! [X0] : ((quiet(X0) | wise(X0)) => ~generous(X0)) [input p3]
12. ! [X0] : ((brave(X0) | tall(X0)) <=> ~tall(X0)) [input p11]
16. ! [X0] ... | 0 |
Everyone who is both wise and quiet is either not kind or not old and vice versa. Everyone who is not generous or not creative is both funny and not strong. Everyone who is both not brave and funny is both strong and not kind. Everyone who is not strong or not patient is both not creative and kind and vice versa. If so... | Lucy is not patient. | contradiction | (![X]:((wise(X)&quiet(X))<=>(~kind(X)<~>~old(X))))&
(![X]:((~generous(X)|~creative(X))=>(funny(X)&~strong(X))))&
(![X]:((~brave(X)&funny(X))=>(strong(X)&~kind(X))))&
(![X]:((~strong(X)|~patient(X))<=>(~creative(X)&kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:(humble(X))))&
(((kind(paul)<~>rich(paul)))<=>(?[X]:(brave(X))))... | ~patient(lucy) | [
"p1",
"p3",
"p6",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 377064853119394235573557
% SZS output start Proof for 377064853119394235573557
2. ! [X0] : ((~creative(X0) | ~generous(X0)) => (~strong(X0) & funny(X0))) [input p1]
4. ! [X0] : ((~patient(X0) | ~strong(X0)) <=> (kind(X0) & ~creative(X0))) [input p3]
7. ! [X0] : ((generous(X0) <~> ~creativ... | 0 |
If fred is calm or kind then someone is either not patient or not humble.
Everyone who is not brave or patient is not brave and vice versa.
Everyone who is not old or not quiet is either not brave or not quiet.
Everyone who is either creative or generous is not wise and vice versa.
If susan is either not curious or wis... | Alice is curious. | contradiction | (((calm(fred)|kind(fred)))=>(?[X]:((~patient(X)<~>~humble(X)))))&
(![X]:((~brave(X)|patient(X))<=>~brave(X)))&
(![X]:((~old(X)|~quiet(X))=>(~brave(X)<~>~quiet(X))))&
(![X]:((creative(X)<~>generous(X))<=>~wise(X)))&
(((~curious(susan)<~>wise(susan)))<=>(?[X]:((creative(X)<~>tall(X)))))&
((?[X]:((brave(X)<~>~brave(X))))=... | curious(alice) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 37835787044219091409346
% SZS output start Proof for 37835787044219091409346
24. ~curious(alice) & ~calm(alice) [input p23]
25. curious(alice) [input hypothesis]
151. ~curious(alice) [cnf transformation 24]
152. curious(alice) [cnf transformation 25]
270. 25 <=> curious(alice) [avatar def... | 0 |
Everyone who is either not creative or creative is humble or not curious and vice versa. Everyone who is both generous and creative is not humble and vice versa. Everyone who is not patient or strong is both creative and rich. Everyone who is strong is both not funny and not rich. If alice is humble or quiet then someo... | Fred is curious. | neutral | (![X]:((~creative(X)<~>creative(X))<=>(humble(X)|~curious(X))))&
(![X]:((generous(X)&creative(X))<=>~humble(X)))&
(![X]:((~patient(X)|strong(X))=>(creative(X)&rich(X))))&
(![X]:(strong(X)=>(~funny(X)&~rich(X))))&
(((humble(alice)|quiet(alice)))<=>(?[X]:(creative(X))))&
(![X]:((~old(X)&old(X))=>(generous(X)|curious(X)))... | curious(fred) | [] | null | 0 |
Everyone who is either tall or not rich is either patient or rich and vice versa.
Everyone who is rich is brave.
If someone is either tall or not generous then susan is both not rich and not funny and vice versa.
Everyone who is tall or kind is both rich and not calm and vice versa.
Everyone who is humble or patient is... | Alice is quiet. | neutral | (![X]:((tall(X)<~>~rich(X))<=>(patient(X)<~>rich(X))))&
(![X]:(rich(X)=>brave(X)))&
((?[X]:((tall(X)<~>~generous(X))))<=>((~rich(susan)&~funny(susan))))&
(![X]:((tall(X)|kind(X))<=>(rich(X)&~calm(X))))&
(![X]:((humble(X)|patient(X))<=>funny(X)))&
(![X]:((~generous(X)|~happy(X))=>(~rich(X)|~funny(X))))&
(((quiet(alice)|... | quiet(alice) | [] | null | 0 |
Everyone who is not curious is not happy and vice versa.
Everyone who is quiet or not tall is not brave or not creative.
Everyone who is either old or strong is both not curious and not old and vice versa.
If lucy is either rich or not humble then someone is either not funny or generous and vice versa.
Everyone who is ... | Paul is strong. | entailment | (![X]:(~curious(X)<=>~happy(X)))&
(![X]:((quiet(X)|~tall(X))=>(~brave(X)|~creative(X))))&
(![X]:((old(X)<~>strong(X))<=>(~curious(X)&~old(X))))&
(((rich(lucy)<~>~humble(lucy)))<=>(?[X]:((~funny(X)<~>generous(X)))))&
(![X]:((~generous(X)|happy(X))<=>(~kind(X)&wise(X))))&
(![X]:((~funny(X)<~>~strong(X))=>(creative(X)<~>c... | strong(paul) | [
"p2",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8237100024873419180664692
% SZS output start Proof for 8237100024873419180664692
3. ! [X0] : ((old(X0) <~> strong(X0)) <=> (~old(X0) & ~curious(X0))) [input p2]
8. ! [X0] : ((~creative(X0) & ~curious(X0)) <=> (~funny(X0) | strong(X0))) [input p7]
11. ! [X0] : ((curious(X0) | ~tall(X0)) <=... | 0 |
Everyone who is rich or generous is humble or not generous.
If john is either tall or not brave then someone is not calm or quiet and vice versa.
Everyone who is either calm or not creative is funny or not happy.
Everyone who is both not patient and not calm is either calm or funny and vice versa.
Everyone who is humbl... | John is strong. | entailment | (![X]:((rich(X)|generous(X))=>(humble(X)|~generous(X))))&
(((tall(john)<~>~brave(john)))<=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((calm(X)<~>~creative(X))=>(funny(X)|~happy(X))))&
(![X]:((~patient(X)&~calm(X))<=>(calm(X)<~>funny(X))))&
(![X]:(humble(X)=>(~humble(X)<~>brave(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(~... | strong(john) | [
"p1",
"p4",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7721272334379320440514052
% SZS output start Proof for 7721272334379320440514052
2. (tall(john) <~> ~brave(john)) <=> ? [X0] : (quiet(X0) | ~calm(X0)) [input p1]
5. ! [X0] : (humble(X0) => (~humble(X0) <~> brave(X0))) [input p4]
7. ! [X0] : ((creative(X0) | rich(X0)) <=> ~creative(X0)) [i... | 0 |
Everyone who is rich or not curious is both not tall and not happy.
Everyone who is either humble or generous is not kind and vice versa.
If susan is not generous then paul is curious or funny and vice versa.
Everyone who is both calm and not wise is both tall and not kind.
If mary is not generous or brave then fred is... | Lucy is not patient. | contradiction | (![X]:((rich(X)|~curious(X))=>(~tall(X)&~happy(X))))&
(![X]:((humble(X)<~>generous(X))<=>~kind(X)))&
((~generous(susan))<=>((curious(paul)|funny(paul))))&
(![X]:((calm(X)&~wise(X))=>(tall(X)&~kind(X))))&
(((~generous(mary)|brave(mary)))=>((~humble(fred)|rich(fred))))&
(![X]:((kind(X)&~kind(X))<=>(~happy(X)|~humble(X)))... | ~patient(lucy) | [
"p0",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3433054462103664601793009
% SZS output start Proof for 3433054462103664601793009
1. ! [X0] : ((~curious(X0) | rich(X0)) => (~happy(X0) & ~tall(X0))) [input p0]
6. ! [X0] : ((~kind(X0) & kind(X0)) <=> (~humble(X0) | ~happy(X0))) [input p5]
12. ~happy(susan) <=> ? [X0] : (patient(X0) <~> ~r... | 0 |
Everyone who is generous is tall.
If john is both not curious and not rich then someone is not generous or kind and vice versa.
Everyone who is both calm and not strong is not quiet.
If fred is not generous then someone is both not rich and strong.
If fred is both not rich and not strong then someone is either kind or ... | John is curious. | contradiction | (![X]:(generous(X)=>tall(X)))&
(((~curious(john)&~rich(john)))<=>(?[X]:((~generous(X)|kind(X)))))&
(![X]:((calm(X)&~strong(X))=>~quiet(X)))&
((~generous(fred))=>(?[X]:((~rich(X)&strong(X)))))&
(((~rich(fred)&~strong(fred)))<=>(?[X]:((kind(X)<~>rich(X)))))&
(![X]:((~humble(X)&curious(X))=>(~old(X)|~funny(X))))&
(![X]:(~... | curious(john) | [
"p1",
"p6",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2788480956186988517226173
% SZS output start Proof for 2788480956186988517226173
2. (~rich(john) & ~curious(john)) <=> ? [X0] : (kind(X0) | ~generous(X0)) [input p1]
7. ! [X0] : (~quiet(X0) <=> (funny(X0) <~> kind(X0))) [input p6]
12. ! [X0] : ((~humble(X0) & generous(X0)) <=> (humble(X0)... | 0 |
If someone is both quiet and happy then someone is not funny or not happy. Everyone who is not wise is funny or not creative. Everyone who is either not old or not calm is both not wise and not quiet. Everyone who is either tall or kind is humble or not strong and vice versa. Everyone who is curious or rich is either n... | Alice is not rich. | entailment | ((?[X]:((quiet(X)&happy(X))))=>(?[X]:((~funny(X)|~happy(X)))))&
(![X]:(~wise(X)=>(funny(X)|~creative(X))))&
(![X]:((~old(X)<~>~calm(X))=>(~wise(X)&~quiet(X))))&
(![X]:((tall(X)<~>kind(X))<=>(humble(X)|~strong(X))))&
(![X]:((curious(X)|rich(X))=>(~old(X)<~>~tall(X))))&
((?[X]:((~patient(X)|brave(X))))=>(?[X]:((~patient(... | ~rich(alice) | [
"p4",
"p8",
"p18",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5385771719966636787601221
% SZS output start Proof for 5385771719966636787601221
5. ! [X0] : ((rich(X0) | curious(X0)) => (~old(X0) <~> ~tall(X0))) [input p4]
9. ! [X0] : ((generous(X0) <~> calm(X0)) <=> (~rich(X0) | ~old(X0))) [input p8]
19. ~calm(alice) | old(alice) [input p18]
21. pati... | 0 |
If lucy is patient or happy then someone is not old and vice versa.
If alice is not quiet or not humble then alice is not wise.
Everyone who is not calm is both rich and not creative and vice versa.
If someone is both kind and not tall then someone is wise.
Everyone who is either creative or kind is both old and not ta... | Lucy is old. | entailment | (((patient(lucy)|happy(lucy)))<=>(?[X]:(~old(X))))&
(((~quiet(alice)|~humble(alice)))=>(~wise(alice)))&
(![X]:(~calm(X)<=>(rich(X)&~creative(X))))&
((?[X]:((kind(X)&~tall(X))))=>(?[X]:(wise(X))))&
(![X]:((creative(X)<~>kind(X))<=>(old(X)&~tall(X))))&
((?[X]:((~old(X)<~>~strong(X))))=>((~rich(john)|old(john))))&
(![X]:(... | old(lucy) | [
"p2",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5610392649996537388814261
% SZS output start Proof for 5610392649996537388814261
3. ! [X0] : (~calm(X0) <=> (~creative(X0) & rich(X0))) [input p2]
5. ! [X0] : ((creative(X0) <~> kind(X0)) <=> (~tall(X0) & old(X0))) [input p4]
9. ? [X0] : ~creative(X0) <=> ? [X0] : kind(X0) [input p8]
11. ... | 0 |
Everyone who is either generous or calm is either kind or old. Everyone who is both not funny and not quiet is both not funny and funny and vice versa. Everyone who is both curious and not generous is happy or not kind. If mary is calm or brave then someone is either kind or not tall. Everyone who is calm or kind is ki... | Mary is not humble. | neutral | (![X]:((generous(X)<~>calm(X))=>(kind(X)<~>old(X))))&
(![X]:((~funny(X)&~quiet(X))<=>(~funny(X)&funny(X))))&
(![X]:((curious(X)&~generous(X))=>(happy(X)|~kind(X))))&
(((calm(mary)|brave(mary)))=>(?[X]:((kind(X)<~>~tall(X)))))&
(![X]:((calm(X)|kind(X))<=>(kind(X)|humble(X))))&
((funny(lucy))=>(?[X]:((~creative(X)|funny(... | ~humble(mary) | [] | null | 0 |
Everyone who is not curious or creative is not old. If alice is both not tall and not rich then alice is both not old and not curious and vice versa. If someone is either not tall or tall then someone is not humble. Everyone who is not wise or humble is both humble and not rich and vice versa. If paul is not happy then... | Paul is not creative. | neutral | (![X]:((~curious(X)|creative(X))=>~old(X)))&
(((~tall(alice)&~rich(alice)))<=>((~old(alice)&~curious(alice))))&
((?[X]:((~tall(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((~wise(X)|humble(X))<=>(humble(X)&~rich(X))))&
((~happy(paul))=>((~quiet(mary)|funny(mary))))&
((?[X]:(~curious(X)))<=>(?[X]:(~wise(X))))&
((?[X]:(... | ~creative(paul) | [] | null | 0 |
Everyone who is brave is either wise or not curious and vice versa.
If fred is both not generous and calm then someone is not old.
If someone is creative then someone is generous.
Everyone who is both not happy and tall is either not humble or not old.
If mary is not rich then someone is both not happy and old.
Everyon... | Susan is not quiet. | contradiction | (![X]:(brave(X)<=>(wise(X)<~>~curious(X))))&
(((~generous(fred)&calm(fred)))=>(?[X]:(~old(X))))&
((?[X]:(creative(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:(generous(X)=>(strong(X)&~patient(X))))&
(![X]:((quiet(X)|kind(X))<=>(h... | ~quiet(susan) | [
"p2",
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8334544146681868607990156
% SZS output start Proof for 8334544146681868607990156
3. ? [X0] : creative(X0) => ? [X0] : generous(X0) [input p2]
6. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p5]
7. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0) | happy(X0))) [input p6]
11... | 0 |
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