premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not kind is not happy and vice versa.
Everyone who is old is either not brave or strong and vice versa.
If someone is either not strong or quiet then someone is either calm or rich and vice versa.
If someone is both patient and not happy then someone is humble.
If alice is both rich and not generous the... | Mary is happy. | contradiction | (![X]:(~kind(X)<=>~happy(X)))&
(![X]:(old(X)<=>(~brave(X)<~>strong(X))))&
((?[X]:((~strong(X)<~>quiet(X))))<=>(?[X]:((calm(X)<~>rich(X)))))&
((?[X]:((patient(X)&~happy(X))))=>(?[X]:(humble(X))))&
(((rich(alice)&~generous(alice)))=>(?[X]:(kind(X))))&
(![X]:(~creative(X)<=>(~creative(X)&brave(X))))&
(![X]:((creative(X)&~... | happy(mary) | [
"p0",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6988528553561221470123229
% SZS output start Proof for 6988528553561221470123229
1. ! [X0] : (~kind(X0) <=> ~happy(X0)) [input p0]
10. (happy(mary) & kind(mary)) <=> ? [X0] : (curious(X0) & creative(X0)) [input p9]
11. ! [X0] : ((~rich(X0) | ~funny(X0)) => (tall(X0) & ~curious(X0))) [inpu... | 0 |
If alice is either old or not rich then paul is calm and vice versa.
Everyone who is not wise or quiet is both patient and strong.
If susan is both curious and brave then someone is not creative or wise.
Everyone who is tall or not rich is humble and vice versa.
Everyone who is either not creative or not tall is either... | John is old. | neutral | (((old(alice)<~>~rich(alice)))<=>(calm(paul)))&
(![X]:((~wise(X)|quiet(X))=>(patient(X)&strong(X))))&
(((curious(susan)&brave(susan)))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((tall(X)|~rich(X))<=>humble(X)))&
(![X]:((~creative(X)<~>~tall(X))<=>(old(X)<~>generous(X))))&
(((~old(fred)&humble(fred)))<=>(?[X]:((~humble(X... | old(john) | [] | null | 0 |
If someone is both not patient and brave then susan is kind or wise and vice versa.
If paul is either funny or brave then mary is not calm or tall.
Everyone who is not humble is both wise and strong.
If susan is both curious and happy then someone is patient or creative.
If paul is brave or tall then someone is calm an... | Mary is not calm. | contradiction | ((?[X]:((~patient(X)&brave(X))))<=>((kind(susan)|wise(susan))))&
(((funny(paul)<~>brave(paul)))=>((~calm(mary)|tall(mary))))&
(![X]:(~humble(X)=>(wise(X)&strong(X))))&
(((curious(susan)&happy(susan)))=>(?[X]:((patient(X)|creative(X)))))&
(((brave(paul)|tall(paul)))<=>(?[X]:(calm(X))))&
(![X]:(~tall(X)=>(strong(X)<~>old... | ~calm(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 376845311104734246722872
% SZS output start Proof for 376845311104734246722872
22. humble(mary) & calm(mary) [input p21]
25. ~calm(mary) [input hypothesis]
137. calm(mary) [cnf transformation 22]
142. ~calm(mary) [cnf transformation 25]
176. 8 <=> calm(mary) [avatar definition]
328. 8 [av... | 0 |
Everyone who is calm or not quiet is not humble or kind. If someone is either strong or not strong then lucy is not tall and vice versa. Everyone who is both not humble and creative is tall and vice versa. Everyone who is not generous is not curious and vice versa. Everyone who is funny is both not kind and not old and... | Lucy is creative. | neutral | (![X]:((calm(X)|~quiet(X))=>(~humble(X)|kind(X))))&
((?[X]:((strong(X)<~>~strong(X))))<=>(~tall(lucy)))&
(![X]:((~humble(X)&creative(X))<=>tall(X)))&
(![X]:(~generous(X)<=>~curious(X)))&
(![X]:(funny(X)<=>(~kind(X)&~old(X))))&
(![X]:((~tall(X)&~kind(X))=>(~tall(X)<~>curious(X))))&
(![X]:((~kind(X)&funny(X))=>(generous(... | creative(lucy) | [] | null | 0 |
If fred is brave then someone is either tall or not tall.
If alice is either not wise or not generous then someone is both not happy and humble.
If someone is either not kind or not old then lucy is both not creative and strong.
If alice is tall then mary is both not brave and rich.
If someone is both not strong and ge... | Susan is not brave. | contradiction | ((brave(fred))=>(?[X]:((tall(X)<~>~tall(X)))))&
(((~wise(alice)<~>~generous(alice)))=>(?[X]:((~happy(X)&humble(X)))))&
((?[X]:((~kind(X)<~>~old(X))))=>((~creative(lucy)&strong(lucy))))&
((tall(alice))=>((~brave(mary)&rich(mary))))&
((?[X]:((~strong(X)&generous(X))))<=>((funny(john)&~brave(john))))&
((?[X]:((~brave(X)&c... | ~brave(susan) | [
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1707841544402525783856056
% SZS output start Proof for 1707841544402525783856056
14. ! [X0] : ((rich(X0) & happy(X0)) <=> (~brave(X0) | generous(X0))) [input p13]
22. ~happy(susan) [input p21]
25. ~brave(susan) [input hypothesis]
67. ! [X0] : (((rich(X0) & happy(X0)) | (brave(X0) & ~gener... | 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... | Lucy is not creative. | neutral | (![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... | ~creative(lucy) | [] | null | 0 |
Everyone who is not funny is brave and vice versa.
If someone is not kind or old then someone is funny.
Everyone who is patient is curious.
If someone is not creative then someone is patient.
Everyone who is not creative is either not curious or not patient.
If lucy is either curious or not funny then susan is not quie... | Paul is quiet. | contradiction | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(funny(X))))&
(![X]:(patient(X)=>curious(X)))&
((?[X]:(~creative(X)))=>(?[X]:(patient(X))))&
(![X]:(~creative(X)=>(~curious(X)<~>~patient(X))))&
(((curious(lucy)<~>~funny(lucy)))=>(~quiet(susan)))&
(![X]:((~wise(X)<~>~generous(X))=>(brave(X)<~>~quiet(X))... | quiet(paul) | [
"p2",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 453199249015264386623080
% SZS output start Proof for 453199249015264386623080
3. ! [X0] : (patient(X0) => curious(X0)) [input p2]
8. ! [X0] : ((~happy(X0) | ~wise(X0)) <=> (humble(X0) & quiet(X0))) [input p7]
10. (quiet(paul) <~> ~strong(paul)) <=> (happy(paul) <~> ~quiet(paul)) [input p... | 0 |
Everyone who is quiet or not strong is both kind and not funny and vice versa.
Everyone who is either patient or rich is not happy or kind.
Everyone who is either not rich or happy is either brave or not patient and vice versa.
Everyone who is both not wise and not brave is happy and vice versa.
Everyone who is both no... | Fred is calm. | entailment | (![X]:((quiet(X)|~strong(X))<=>(kind(X)&~funny(X))))&
(![X]:((patient(X)<~>rich(X))=>(~happy(X)|kind(X))))&
(![X]:((~rich(X)<~>happy(X))<=>(brave(X)<~>~patient(X))))&
(![X]:((~wise(X)&~brave(X))<=>happy(X)))&
(![X]:((~kind(X)&rich(X))=>humble(X)))&
(![X]:(generous(X)=>wise(X)))&
(![X]:((quiet(X)&humble(X))<=>(quiet(X)|... | calm(fred) | [
"p0",
"p5",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1166794265990712366779118
% SZS output start Proof for 1166794265990712366779118
1. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~funny(X0) & kind(X0))) [input p0]
6. ! [X0] : (generous(X0) => wise(X0)) [input p5]
7. ! [X0] : ((humble(X0) & quiet(X0)) <=> (strong(X0) | quiet(X0))) [input p6]
... | 0 |
Everyone who is either not humble or creative is either not kind or not strong.
Everyone who is not kind is not funny or not humble and vice versa.
If someone is either not rich or not wise then lucy is not wise and vice versa.
Everyone who is not tall or happy is not old or not humble and vice versa.
Everyone who is b... | Paul is not creative. | contradiction | (![X]:((~humble(X)<~>creative(X))=>(~kind(X)<~>~strong(X))))&
(![X]:(~kind(X)<=>(~funny(X)|~humble(X))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>(~wise(lucy)))&
(![X]:((~tall(X)|happy(X))<=>(~old(X)|~humble(X))))&
(![X]:((~curious(X)&happy(X))<=>(~rich(X)|~funny(X))))&
(![X]:((~wise(X)&~curious(X))=>quiet(X)))&
(![X]:((~cal... | ~creative(paul) | [
"p4",
"p7",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9036337962933917759598223
% SZS output start Proof for 9036337962933917759598223
5. ! [X0] : ((happy(X0) & ~curious(X0)) <=> (~funny(X0) | ~rich(X0))) [input p4]
8. ! [X0] : ((~rich(X0) | tall(X0)) => kind(X0)) [input p7]
9. ! [X0] : ((~wise(X0) | happy(X0)) => (funny(X0) & ~rich(X0))) [i... | 0 |
If susan is both not brave and old then fred is both not old and not patient and vice versa. If someone is not rich or kind then susan is either funny or brave and vice versa. If susan is not curious then someone is happy. If susan is calm or rich then paul is both not quiet and not curious. If alice is not creative th... | Paul is not brave. | neutral | (((~brave(susan)&old(susan)))<=>((~old(fred)&~patient(fred))))&
((?[X]:((~rich(X)|kind(X))))<=>((funny(susan)<~>brave(susan))))&
((~curious(susan))=>(?[X]:(happy(X))))&
(((calm(susan)|rich(susan)))=>((~quiet(paul)&~curious(paul))))&
((~creative(alice))=>((~rich(alice)<~>kind(alice))))&
(![X]:((creative(X)<~>~brave(X))<... | ~brave(paul) | [] | null | 0 |
If alice is both not humble and not creative then someone is either quiet or not old.
Everyone who is not patient or not old is not old or not tall.
If someone is not generous or generous then someone is not strong and vice versa.
Everyone who is kind is not happy.
Everyone who is not wise is both kind and not tall and... | Lucy is not wise. | contradiction | (((~humble(alice)&~creative(alice)))=>(?[X]:((quiet(X)<~>~old(X)))))&
(![X]:((~patient(X)|~old(X))=>(~old(X)|~tall(X))))&
((?[X]:((~generous(X)|generous(X))))<=>(?[X]:(~strong(X))))&
(![X]:(kind(X)=>~happy(X)))&
(![X]:(~wise(X)<=>(kind(X)&~tall(X))))&
(![X]:(~kind(X)=>(calm(X)<~>patient(X))))&
(((~happy(lucy)|quiet(luc... | ~wise(lucy) | [
"p3",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5779907363788371858902705
% SZS output start Proof for 5779907363788371858902705
4. ! [X0] : (kind(X0) => ~happy(X0)) [input p3]
5. ! [X0] : (~wise(X0) <=> (~tall(X0) & kind(X0))) [input p4]
12. ! [X0] : ((~old(X0) <~> happy(X0)) <=> old(X0)) [input p11]
24. ~wise(lucy) [input hypothesis]... | 0 |
Everyone who is patient or not quiet is both not curious and patient and vice versa.
Everyone who is both brave and tall is either not calm or quiet.
If someone is either generous or humble then someone is not humble and vice versa.
Everyone who is either not strong or not kind is not creative and vice versa.
If mary i... | John is quiet. | neutral | (![X]:((patient(X)|~quiet(X))<=>(~curious(X)&patient(X))))&
(![X]:((brave(X)&tall(X))=>(~calm(X)<~>quiet(X))))&
((?[X]:((generous(X)<~>humble(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~strong(X)<~>~kind(X))<=>~creative(X)))&
(((old(mary)<~>strong(mary)))=>(humble(fred)))&
((?[X]:((creative(X)&curious(X))))=>(tall(lucy)))&
... | quiet(john) | [] | null | 0 |
If someone is funny or not strong then john is not humble and vice versa.
Everyone who is both not funny and not tall is not strong or not calm.
If fred is either generous or funny then someone is funny or not tall and vice versa.
If someone is not tall then someone is both calm and quiet and vice versa.
If someone is ... | John is wise. | neutral | ((?[X]:((funny(X)|~strong(X))))<=>(~humble(john)))&
(![X]:((~funny(X)&~tall(X))=>(~strong(X)|~calm(X))))&
(((generous(fred)<~>funny(fred)))<=>(?[X]:((funny(X)|~tall(X)))))&
((?[X]:(~tall(X)))<=>(?[X]:((calm(X)&quiet(X)))))&
((?[X]:((patient(X)<~>~generous(X))))=>(?[X]:((funny(X)&~brave(X)))))&
(![X]:((~creative(X)<~>~p... | wise(john) | [] | null | 0 |
If paul is either not humble or not rich then susan is wise or generous and vice versa. If someone is happy then someone is not strong or not kind. If alice is either not old or not rich then someone is not kind and vice versa. If someone is not old then someone is either kind or rich. Everyone who is kind or not wise ... | Paul is not kind. | contradiction | (((~humble(paul)<~>~rich(paul)))<=>((wise(susan)|generous(susan))))&
((?[X]:(happy(X)))=>(?[X]:((~strong(X)|~kind(X)))))&
(((~old(alice)<~>~rich(alice)))<=>(?[X]:(~kind(X))))&
((?[X]:(~old(X)))=>(?[X]:((kind(X)<~>rich(X)))))&
(![X]:((kind(X)|~wise(X))=>(~happy(X)&~humble(X))))&
(![X]:(~tall(X)<=>(old(X)<~>rich(X))))&
(... | ~kind(paul) | [
"p2",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 193274951550098138130383
% SZS output start Proof for 193274951550098138130383
3. (~old(alice) <~> ~rich(alice)) <=> ? [X0] : ~kind(X0) [input p2]
6. ! [X0] : (~tall(X0) <=> (old(X0) <~> rich(X0))) [input p5]
9. ! [X0] : ((~tall(X0) | brave(X0)) <=> (~strong(X0) & patient(X0))) [input p8]... | 0 |
If fred is both calm and not calm then someone is either kind or not brave and vice versa.
If susan is tall or generous then someone is humble or funny and vice versa.
If paul is either rich or tall then alice is both curious and not humble and vice versa.
Everyone who is quiet is both brave and not quiet and vice vers... | Paul is kind. | entailment | (((calm(fred)&~calm(fred)))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(((tall(susan)|generous(susan)))<=>(?[X]:((humble(X)|funny(X)))))&
(((rich(paul)<~>tall(paul)))<=>((curious(alice)&~humble(alice))))&
(![X]:(quiet(X)<=>(brave(X)&~quiet(X))))&
(((~tall(fred)&strong(fred)))=>((~creative(fred)|old(fred))))&
(![X]:((old(X)|str... | kind(paul) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5689961883033961716102514
% SZS output start Proof for 5689961883033961716102514
1. (~calm(fred) & calm(fred)) <=> ? [X0] : (kind(X0) <~> ~brave(X0)) [input p0]
4. ! [X0] : (quiet(X0) <=> (~quiet(X0) & brave(X0))) [input p3]
25. ~kind(paul) [input hypothesis]
41. ((~calm(fred) & calm(fred... | 0 |
Everyone who is not old is both calm and creative and vice versa.
If mary is humble then someone is brave or not wise.
Everyone who is both funny and calm is patient or strong.
Everyone who is not quiet is either not calm or not kind.
If someone is both rich and tall then someone is either quiet or curious.
If alice is... | Alice is wise. | neutral | (![X]:(~old(X)<=>(calm(X)&creative(X))))&
((humble(mary))=>(?[X]:((brave(X)|~wise(X)))))&
(![X]:((funny(X)&calm(X))=>(patient(X)|strong(X))))&
(![X]:(~quiet(X)=>(~calm(X)<~>~kind(X))))&
((?[X]:((rich(X)&tall(X))))=>(?[X]:((quiet(X)<~>curious(X)))))&
(((~tall(alice)|~funny(alice)))=>(old(paul)))&
(((~generous(fred)|~qui... | wise(alice) | [] | null | 0 |
Everyone who is both not curious and not wise is both wise and not creative.
Everyone who is not rich or not wise is either curious or creative.
Everyone who is both not rich and not calm is not patient.
Everyone who is rich or not funny is both calm and not kind and vice versa.
If alice is both not creative and not hu... | Susan is patient. | contradiction | (![X]:((~curious(X)&~wise(X))=>(wise(X)&~creative(X))))&
(![X]:((~rich(X)|~wise(X))=>(curious(X)<~>creative(X))))&
(![X]:((~rich(X)&~calm(X))=>~patient(X)))&
(![X]:((rich(X)|~funny(X))<=>(calm(X)&~kind(X))))&
(((~creative(alice)&~humble(alice)))=>((kind(mary)<~>~calm(mary))))&
((?[X]:(patient(X)))<=>((generous(fred)|ki... | patient(susan) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6148169172188126333755181
% SZS output start Proof for 6148169172188126333755181
11. ! [X0] : ((~generous(X0) & tall(X0)) <=> (~patient(X0) | rich(X0))) [input p10]
13. ? [X0] : (generous(X0) & rich(X0)) <=> ? [X0] : (patient(X0) | ~happy(X0)) [input p12]
24. patient(susan) [input hypothe... | 0 |
Everyone who is either not rich or not wise is either generous or not generous.
If john is either not old or not strong then alice is either not calm or tall and vice versa.
If someone is either not calm or wise then someone is either rich or kind.
If susan is either old or patient then someone is not curious or not pa... | Mary is not quiet. | contradiction | (![X]:((~rich(X)<~>~wise(X))=>(generous(X)<~>~generous(X))))&
(((~old(john)<~>~strong(john)))<=>((~calm(alice)<~>tall(alice))))&
((?[X]:((~calm(X)<~>wise(X))))=>(?[X]:((rich(X)<~>kind(X)))))&
(((old(susan)<~>patient(susan)))=>(?[X]:((~curious(X)|~patient(X)))))&
((?[X]:((strong(X)&~calm(X))))<=>((rich(mary)|~quiet(mary... | ~quiet(mary) | [
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8421403818270298985398925
% SZS output start Proof for 8421403818270298985398925
5. ? [X0] : (~calm(X0) & strong(X0)) <=> (~quiet(mary) | rich(mary)) [input p4]
8. ! [X0] : ((strong(X0) | ~patient(X0)) => (rich(X0) & creative(X0))) [input p7]
9. ! [X0] : (strong(X0) => (~rich(X0) & ~funny... | 0 |
Everyone who is either generous or not rich is both quiet and not tall.
If someone is humble or not funny then paul is either rich or curious and vice versa.
Everyone who is both not quiet and not calm is both calm and not wise and vice versa.
If someone is generous then someone is both not brave and not quiet and vice... | John is rich. | entailment | (![X]:((generous(X)<~>~rich(X))=>(quiet(X)&~tall(X))))&
((?[X]:((humble(X)|~funny(X))))<=>((rich(paul)<~>curious(paul))))&
(![X]:((~quiet(X)&~calm(X))<=>(calm(X)&~wise(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~brave(X)&~quiet(X)))))&
(((strong(lucy)<~>funny(lucy)))=>(~tall(lucy)))&
(![X]:((tall(X)|wise(X))<=>(~tall(X)&~c... | rich(john) | [
"p2",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2710709864517919004679707
% SZS output start Proof for 2710709864517919004679707
3. ! [X0] : ((~calm(X0) & ~quiet(X0)) <=> (~wise(X0) & calm(X0))) [input p2]
6. ! [X0] : ((wise(X0) | tall(X0)) <=> (~calm(X0) & ~tall(X0))) [input p5]
11. ! [X0] : (~creative(X0) => (~calm(X0) <~> ~tall(X0))... | 0 |
If someone is either strong or not rich then someone is either curious or not calm and vice versa.
Everyone who is not tall or happy is either wise or generous.
If someone is not tall or quiet then someone is not humble or happy.
If someone is both wise and happy then paul is curious or not funny.
Everyone who is not g... | Fred is rich. | entailment | ((?[X]:((strong(X)<~>~rich(X))))<=>(?[X]:((curious(X)<~>~calm(X)))))&
(![X]:((~tall(X)|happy(X))=>(wise(X)<~>generous(X))))&
((?[X]:((~tall(X)|quiet(X))))=>(?[X]:((~humble(X)|happy(X)))))&
((?[X]:((wise(X)&happy(X))))=>((curious(paul)|~funny(paul))))&
(![X]:((~generous(X)|kind(X))=>(generous(X)&~humble(X))))&
(![X]:((~... | rich(fred) | [
"p4",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1250638038100433421258186
% SZS output start Proof for 1250638038100433421258186
5. ! [X0] : ((kind(X0) | ~generous(X0)) => (~humble(X0) & generous(X0))) [input p4]
6. ! [X0] : ((funny(X0) | ~rich(X0)) <=> (~old(X0) | rich(X0))) [input p5]
13. ! [X0] : (old(X0) <=> ~wise(X0)) [input p12]
... | 0 |
Everyone who is both rich and quiet is not curious or calm and vice versa.
If someone is both not kind and quiet then someone is either not kind or not humble.
If someone is either calm or curious then someone is brave.
Everyone who is not patient is quiet or rich.
If someone is not quiet or not wise then john is both ... | Lucy is calm. | neutral | (![X]:((rich(X)&quiet(X))<=>(~curious(X)|calm(X))))&
((?[X]:((~kind(X)&quiet(X))))=>(?[X]:((~kind(X)<~>~humble(X)))))&
((?[X]:((calm(X)<~>curious(X))))=>(?[X]:(brave(X))))&
(![X]:(~patient(X)=>(quiet(X)|rich(X))))&
((?[X]:((~quiet(X)|~wise(X))))=>((~kind(john)&~old(john))))&
(![X]:((old(X)&quiet(X))=>(~curious(X)<~>~ge... | calm(lucy) | [] | null | 0 |
If lucy is not strong or brave then paul is quiet or not quiet.
If mary is both calm and kind then alice is not old or not wise and vice versa.
Everyone who is both curious and quiet is either not generous or not brave.
Everyone who is both old and not happy is not wise or not patient and vice versa.
Everyone who is bo... | Susan is kind. | entailment | (((~strong(lucy)|brave(lucy)))=>((quiet(paul)|~quiet(paul))))&
(((calm(mary)&kind(mary)))<=>((~old(alice)|~wise(alice))))&
(![X]:((curious(X)&quiet(X))=>(~generous(X)<~>~brave(X))))&
(![X]:((old(X)&~happy(X))<=>(~wise(X)|~patient(X))))&
(![X]:((wise(X)&calm(X))=>(generous(X)|quiet(X))))&
(![X]:((~curious(X)<~>~wise(X))... | kind(susan) | [
"p2",
"p5",
"p6",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 80930156907227766946797
% SZS output start Proof for 80930156907227766946797
3. ! [X0] : ((quiet(X0) & curious(X0)) => (~generous(X0) <~> ~brave(X0))) [input p2]
6. ! [X0] : ((~curious(X0) <~> ~wise(X0)) => ~rich(X0)) [input p5]
7. ! [X0] : (~generous(X0) <=> (~kind(X0) | happy(X0))) [inp... | 0 |
Everyone who is either tall or calm is both not quiet and not creative and vice versa. If susan is kind then someone is either not kind or brave. Everyone who is either curious or patient is either not strong or not wise and vice versa. If someone is both humble and not calm then someone is not kind or not happy and vi... | Alice is not generous. | neutral | (![X]:((tall(X)<~>calm(X))<=>(~quiet(X)&~creative(X))))&
((kind(susan))=>(?[X]:((~kind(X)<~>brave(X)))))&
(![X]:((curious(X)<~>patient(X))<=>(~strong(X)<~>~wise(X))))&
((?[X]:((humble(X)&~calm(X))))<=>(?[X]:((~kind(X)|~happy(X)))))&
(((old(alice)|funny(alice)))=>(?[X]:((quiet(X)&~brave(X)))))&
((?[X]:((generous(X)&wise... | ~generous(alice) | [] | null | 0 |
Everyone who is both not humble and strong is both strong and not calm. Everyone who is both calm and happy is funny or tall and vice versa. Everyone who is both quiet and not happy is humble. If susan is kind then susan is funny and vice versa. Everyone who is creative is both not brave and curious and vice versa. Eve... | Lucy is not quiet. | neutral | (![X]:((~humble(X)&strong(X))=>(strong(X)&~calm(X))))&
(![X]:((calm(X)&happy(X))<=>(funny(X)|tall(X))))&
(![X]:((quiet(X)&~happy(X))=>humble(X)))&
((kind(susan))<=>(funny(susan)))&
(![X]:(creative(X)<=>(~brave(X)&curious(X))))&
(![X]:(creative(X)=>(~creative(X)<~>~wise(X))))&
(![X]:((brave(X)&~funny(X))=>wise(X)))&
((?... | ~quiet(lucy) | [] | null | 0 |
Everyone who is happy is not wise and vice versa.
If john is tall then someone is funny or tall.
If paul is not brave then someone is old.
If john is both funny and old then paul is either old or funny.
Everyone who is both not brave and brave is old.
If someone is both calm and rich then john is both wise and funny.
I... | Paul is not funny. | contradiction | (![X]:(happy(X)<=>~wise(X)))&
((tall(john))=>(?[X]:((funny(X)|tall(X)))))&
((~brave(paul))=>(?[X]:(old(X))))&
(((funny(john)&old(john)))=>((old(paul)<~>funny(paul))))&
(![X]:((~brave(X)&brave(X))=>old(X)))&
((?[X]:((calm(X)&rich(X))))=>((wise(john)&funny(john))))&
(((~curious(paul)|~strong(paul)))=>(?[X]:((kind(X)|~kin... | ~funny(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7418213998279389254416706
% SZS output start Proof for 7418213998279389254416706
18. funny(paul) & ~happy(paul) [input p17]
25. ~funny(paul) [input hypothesis]
117. funny(paul) [cnf transformation 18]
128. ~funny(paul) [cnf transformation 25]
164. 9 <=> funny(paul) [avatar definition]
262... | 0 |
Everyone who is both curious and wise is happy.
If john is either quiet or not rich then mary is not wise or creative and vice versa.
Everyone who is brave or old is both not happy and not old.
If john is either wise or not calm then susan is calm.
Everyone who is funny is either rich or not tall.
Everyone who is humbl... | John is rich. | entailment | (![X]:((curious(X)&wise(X))=>happy(X)))&
(((quiet(john)<~>~rich(john)))<=>((~wise(mary)|creative(mary))))&
(![X]:((brave(X)|old(X))=>(~happy(X)&~old(X))))&
(((wise(john)<~>~calm(john)))=>(calm(susan)))&
(![X]:(funny(X)=>(rich(X)<~>~tall(X))))&
(![X]:((humble(X)|calm(X))<=>(rich(X)|~wise(X))))&
((?[X]:(humble(X)))<=>(~q... | rich(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6849332511868503254417503
% SZS output start Proof for 6849332511868503254417503
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (rich(X0) & ~funny(X0))) [input p9]
23. ~rich(john) [input hypothesis]
30. ! [X0] : ((rich(X0) & ~funny(X0)) | (generous(X0) & rich(X0))) [ennf transformation 10]
... | 0 |
If someone is not funny or old then someone is not rich and vice versa. Everyone who is both not creative and not strong is both kind and creative. Everyone who is happy is not brave. If someone is either strong or rich then someone is both not strong and not curious and vice versa. Everyone who is quiet is curious and... | Susan is not happy. | contradiction | ((?[X]:((~funny(X)|old(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)&~strong(X))=>(kind(X)&creative(X))))&
(![X]:(happy(X)=>~brave(X)))&
((?[X]:((strong(X)<~>rich(X))))<=>(?[X]:((~strong(X)&~curious(X)))))&
(![X]:(quiet(X)<=>curious(X)))&
(((old(alice)&~old(alice)))<=>((~brave(mary)<~>kind(mary))))&
(![X]:((~brave(X... | ~happy(susan) | [
"p1",
"p3",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7427854790845946972556186
% SZS output start Proof for 7427854790845946972556186
2. ! [X0] : ((~strong(X0) & ~creative(X0)) => (creative(X0) & kind(X0))) [input p1]
4. ? [X0] : (strong(X0) <~> rich(X0)) <=> ? [X0] : (~curious(X0) & ~strong(X0)) [input p3]
15. ? [X0] : creative(X0) => (gen... | 0 |
If paul is either not curious or patient then fred is either humble or not happy. Everyone who is not curious is either not strong or happy. If someone is both not calm and creative then paul is either not funny or not curious. Everyone who is both not tall and old is not funny or not curious. Everyone who is both not ... | Alice is not funny. | contradiction | (((~curious(paul)<~>patient(paul)))=>((humble(fred)<~>~happy(fred))))&
(![X]:(~curious(X)=>(~strong(X)<~>happy(X))))&
((?[X]:((~calm(X)&creative(X))))=>((~funny(paul)<~>~curious(paul))))&
(![X]:((~tall(X)&old(X))=>(~funny(X)|~curious(X))))&
(![X]:((~brave(X)&~quiet(X))<=>~wise(X)))&
((?[X]:((wise(X)&~funny(X))))=>((~fu... | ~funny(alice) | [
"p1",
"p4",
"p6",
"p7",
"p8",
"p9",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 367426341345020995461392
% SZS output start Proof for 367426341345020995461392
2. ! [X0] : (~curious(X0) => (~strong(X0) <~> happy(X0))) [input p1]
5. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> ~wise(X0)) [input p4]
7. ! [X0] : ((~funny(X0) <~> ~generous(X0)) <=> brave(X0)) [input p6]
8. ! [... | 0 |
If someone is not humble or wise then someone is both not kind and calm. Everyone who is either not creative or not tall is creative. Everyone who is both wise and kind is either strong or brave and vice versa. Everyone who is both strong and not curious is not wise and vice versa. If someone is both old and calm then ... | John is not happy. | neutral | ((?[X]:((~humble(X)|wise(X))))=>(?[X]:((~kind(X)&calm(X)))))&
(![X]:((~creative(X)<~>~tall(X))=>creative(X)))&
(![X]:((wise(X)&kind(X))<=>(strong(X)<~>brave(X))))&
(![X]:((strong(X)&~curious(X))<=>~wise(X)))&
((?[X]:((old(X)&calm(X))))<=>(happy(lucy)))&
(![X]:((~curious(X)<~>~humble(X))<=>(tall(X)|~strong(X))))&
((?[X]... | ~happy(john) | [] | null | 0 |
Everyone who is not funny is both quiet and not funny. Everyone who is either not humble or funny is old and vice versa. Everyone who is strong or not generous is happy or creative. Everyone who is either not creative or not generous is not brave. If someone is not generous or tall then mary is both not curious and pat... | Lucy is quiet. | entailment | (![X]:(~funny(X)=>(quiet(X)&~funny(X))))&
(![X]:((~humble(X)<~>funny(X))<=>old(X)))&
(![X]:((strong(X)|~generous(X))=>(happy(X)|creative(X))))&
(![X]:((~creative(X)<~>~generous(X))=>~brave(X)))&
((?[X]:((~generous(X)|tall(X))))=>((~curious(mary)&patient(mary))))&
(![X]:((happy(X)<~>~tall(X))=>(~patient(X)&~quiet(X))))&... | quiet(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6512733731331220186944
% SZS output start Proof for 6512733731331220186944
1. ! [X0] : (~funny(X0) => (~funny(X0) & quiet(X0))) [input p0]
2. ! [X0] : ((~humble(X0) <~> funny(X0)) <=> old(X0)) [input p1]
3. ! [X0] : ((~generous(X0) | strong(X0)) => (creative(X0) | happy(X0))) [input p2]
4... | 0 |
Everyone who is either patient or not happy is either not brave or kind.
If someone is not tall or not old then alice is both not happy and not calm and vice versa.
If lucy is both not calm and not tall then alice is either not wise or generous and vice versa.
Everyone who is old or not funny is not strong or patient a... | Mary is not calm. | contradiction | (![X]:((patient(X)<~>~happy(X))=>(~brave(X)<~>kind(X))))&
((?[X]:((~tall(X)|~old(X))))<=>((~happy(alice)&~calm(alice))))&
(((~calm(lucy)&~tall(lucy)))<=>((~wise(alice)<~>generous(alice))))&
(![X]:((old(X)|~funny(X))<=>(~strong(X)|patient(X))))&
((?[X]:((old(X)&strong(X))))<=>(?[X]:((creative(X)<~>calm(X)))))&
(![X]:((k... | ~calm(mary) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p9",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5177459427978669576592543
% SZS output start Proof for 5177459427978669576592543
1. ! [X0] : ((patient(X0) <~> ~happy(X0)) => (~brave(X0) <~> kind(X0))) [input p0]
2. ? [X0] : (~old(X0) | ~tall(X0)) <=> (~calm(alice) & ~happy(alice)) [input p1]
4. ! [X0] : ((~funny(X0) | old(X0)) <=> (pat... | 0 |
Everyone who is both strong and creative is both not kind and humble and vice versa. Everyone who is not curious or strong is both not curious and wise. Everyone who is not curious is funny and vice versa. Everyone who is quiet is either funny or old and vice versa. Everyone who is either not generous or wise is both n... | Fred is calm. | neutral | (![X]:((strong(X)&creative(X))<=>(~kind(X)&humble(X))))&
(![X]:((~curious(X)|strong(X))=>(~curious(X)&wise(X))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:(quiet(X)<=>(funny(X)<~>old(X))))&
(![X]:((~generous(X)<~>wise(X))=>(~patient(X)&brave(X))))&
((?[X]:((patient(X)<~>wise(X))))<=>(?[X]:((~happy(X)&curious(X)))))&
(((s... | calm(fred) | [] | null | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa. Everyone who is either funny or not patient is old or not creative. If lucy is not kind then someone is generous or not funny and vice versa. If susan is both not curious and humble then mary is either not curious or happy. Everyone who is wise or not ge... | Alice is not patient. | entailment | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((funny(X)<~>~patient(X))=>(old(X)|~creative(X))))&
((~kind(lucy))<=>(?[X]:((generous(X)|~funny(X)))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~... | ~patient(alice) | [
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1163678136688832648526485
% SZS output start Proof for 1163678136688832648526485
5. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p4]
6. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0) & ~generous(X0))) [input p5]
7. ! [X0] : ((kind(X0) & funny(X0)) <=> ~cal... | 0 |
If someone is creative or not curious then someone is either not patient or calm and vice versa.
Everyone who is not creative or not funny is either not tall or not curious.
Everyone who is humble or tall is both wise and not brave and vice versa.
If lucy is rich then alice is either not kind or quiet and vice versa.
I... | Paul is old. | neutral | ((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((~patient(X)<~>calm(X)))))&
(![X]:((~creative(X)|~funny(X))=>(~tall(X)<~>~curious(X))))&
(![X]:((humble(X)|tall(X))<=>(wise(X)&~brave(X))))&
((rich(lucy))<=>((~kind(alice)<~>quiet(alice))))&
((funny(john))<=>(curious(fred)))&
((?[X]:((~wise(X)&generous(X))))=>(?[X]:((generou... | old(paul) | [] | null | 0 |
Everyone who is strong or not quiet is both brave and not generous and vice versa.
Everyone who is not happy is not funny.
If john is kind or creative then someone is both patient and creative and vice versa.
Everyone who is either generous or quiet is either brave or old and vice versa.
If someone is both kind and not... | Susan is not quiet. | entailment | (![X]:((strong(X)|~quiet(X))<=>(brave(X)&~generous(X))))&
(![X]:(~happy(X)=>~funny(X)))&
(((kind(john)|creative(john)))<=>(?[X]:((patient(X)&creative(X)))))&
(![X]:((generous(X)<~>quiet(X))<=>(brave(X)<~>old(X))))&
((?[X]:((kind(X)&~quiet(X))))=>((rich(lucy)|~strong(lucy))))&
(![X]:(~old(X)=>(~kind(X)<~>generous(X))))&... | ~quiet(susan) | [
"p0",
"p3",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4733523802156654644383469
% SZS output start Proof for 4733523802156654644383469
1. ! [X0] : ((~quiet(X0) | strong(X0)) <=> (~generous(X0) & brave(X0))) [input p0]
4. ! [X0] : ((generous(X0) <~> quiet(X0)) <=> (brave(X0) <~> old(X0))) [input p3]
13. ! [X0] : ((old(X0) & ~humble(X0)) <=> (... | 0 |
Everyone who is either not brave or not calm is not patient and vice versa. Everyone who is kind is both wise and not funny and vice versa. Everyone who is not quiet or not wise is not strong. Everyone who is both not calm and not kind is kind and vice versa. Everyone who is either strong or not humble is patient or wi... | Paul is wise. | neutral | (![X]:((~brave(X)<~>~calm(X))<=>~patient(X)))&
(![X]:(kind(X)<=>(wise(X)&~funny(X))))&
(![X]:((~quiet(X)|~wise(X))=>~strong(X)))&
(![X]:((~calm(X)&~kind(X))<=>kind(X)))&
(![X]:((strong(X)<~>~humble(X))=>(patient(X)|wise(X))))&
((~patient(lucy))<=>(?[X]:(~kind(X))))&
(![X]:((patient(X)|generous(X))<=>(~generous(X)&~curi... | wise(paul) | [] | null | 0 |
If mary is humble or rich then someone is either kind or not old. Everyone who is rich is not tall. If alice is either calm or brave then someone is rich. Everyone who is either brave or patient is not rich and vice versa. Everyone who is not tall is not happy. Everyone who is either calm or tall is both not rich and n... | Paul is humble. | neutral | (((humble(mary)|rich(mary)))=>(?[X]:((kind(X)<~>~old(X)))))&
(![X]:(rich(X)=>~tall(X)))&
(((calm(alice)<~>brave(alice)))=>(?[X]:(rich(X))))&
(![X]:((brave(X)<~>patient(X))<=>~rich(X)))&
(![X]:(~tall(X)=>~happy(X)))&
(![X]:((calm(X)<~>tall(X))<=>(~rich(X)&~tall(X))))&
(![X]:(~kind(X)=>(~kind(X)&kind(X))))&
(![X]:((~happ... | humble(paul) | [] | null | 0 |
If someone is either generous or not curious then fred is both kind and not old.
If someone is either quiet or rich then fred is either not old or not generous.
Everyone who is both generous and patient is both kind and not creative.
Everyone who is old or patient is both humble and quiet and vice versa.
Everyone who i... | John is not old. | entailment | ((?[X]:((generous(X)<~>~curious(X))))=>((kind(fred)&~old(fred))))&
((?[X]:((quiet(X)<~>rich(X))))=>((~old(fred)<~>~generous(fred))))&
(![X]:((generous(X)&patient(X))=>(kind(X)&~creative(X))))&
(![X]:((old(X)|patient(X))<=>(humble(X)&quiet(X))))&
(![X]:(~patient(X)=>(~funny(X)|~curious(X))))&
(![X]:((~calm(X)<~>kind(X))... | ~old(john) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4630705965007040865304014
% SZS output start Proof for 4630705965007040865304014
4. ! [X0] : ((patient(X0) | old(X0)) <=> (quiet(X0) & humble(X0))) [input p3]
8. ! [X0] : (quiet(X0) => ~humble(X0)) [input p7]
21. old(john) [input hypothesis]
30. ! [X0] : (~humble(X0) | ~quiet(X0)) [ennf t... | 0 |
If someone is both not happy and strong then alice is both not patient and brave and vice versa. Everyone who is old is funny and vice versa. If john is funny then lucy is not generous or not humble and vice versa. Everyone who is both not generous and not curious is both happy and not patient and vice versa. Everyone ... | Alice is not generous. | neutral | ((?[X]:((~happy(X)&strong(X))))<=>((~patient(alice)&brave(alice))))&
(![X]:(old(X)<=>funny(X)))&
((funny(john))<=>((~generous(lucy)|~humble(lucy))))&
(![X]:((~generous(X)&~curious(X))<=>(happy(X)&~patient(X))))&
(![X]:((brave(X)|~happy(X))=>(kind(X)&~calm(X))))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)... | ~generous(alice) | [] | null | 0 |
Everyone who is both not curious and kind is creative and vice versa. Everyone who is not old is not brave and vice versa. Everyone who is both not old and wise is rich or not old. If someone is not brave or not patient then fred is old and vice versa. If lucy is not creative then fred is not wise and vice versa. Every... | Fred is brave. | entailment | (![X]:((~curious(X)&kind(X))<=>creative(X)))&
(![X]:(~old(X)<=>~brave(X)))&
(![X]:((~old(X)&wise(X))=>(rich(X)|~old(X))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X))))&
(![X]:((rich(X)&~patient(X))=>(tall(X)|curious(X))))&
(![X]... | brave(fred) | [
"p1",
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 153190026845154573341338
% SZS output start Proof for 153190026845154573341338
2. ! [X0] : (~old(X0) <=> ~brave(X0)) [input p1]
4. ? [X0] : (~patient(X0) | ~brave(X0)) <=> old(fred) [input p3]
20. ? [X0] : ~patient(X0) [input p19]
23. ~brave(fred) [input hypothesis]
35. ! [X0] : ((~old(X0... | 0 |
Everyone who is both not wise and not happy is both tall and not brave and vice versa. If someone is both not wise and not brave then fred is not generous. Everyone who is either not strong or not old is both not creative and wise. If someone is kind then someone is not calm or not brave and vice versa. If paul is eith... | Mary is happy. | contradiction | (![X]:((~wise(X)&~happy(X))<=>(tall(X)&~brave(X))))&
((?[X]:((~wise(X)&~brave(X))))=>(~generous(fred)))&
(![X]:((~strong(X)<~>~old(X))=>(~creative(X)&wise(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~calm(X)|~brave(X)))))&
(((creative(paul)<~>~creative(paul)))<=>(~quiet(john)))&
(![X]:(~patient(X)=>(~humble(X)&~old(X))))&
(((~c... | happy(mary) | [
"p2",
"p6",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4487278195775119226474923
% SZS output start Proof for 4487278195775119226474923
3. ! [X0] : ((~strong(X0) <~> ~old(X0)) => (wise(X0) & ~creative(X0))) [input p2]
7. (~creative(mary) <~> ~strong(mary)) => ~strong(lucy) [input p6]
10. ! [X0] : ((~quiet(X0) | happy(X0)) <=> (wise(X0) & funn... | 0 |
Everyone who is both not happy and funny is quiet or rich and vice versa. Everyone who is tall or humble is both not calm and funny. If alice is generous then someone is either quiet or not happy. Everyone who is rich or not generous is either not calm or not strong. If susan is not brave then someone is curious. If fr... | Fred is not rich. | entailment | (![X]:((~happy(X)&funny(X))<=>(quiet(X)|rich(X))))&
(![X]:((tall(X)|humble(X))=>(~calm(X)&funny(X))))&
((generous(alice))=>(?[X]:((quiet(X)<~>~happy(X)))))&
(![X]:((rich(X)|~generous(X))=>(~calm(X)<~>~strong(X))))&
((~brave(susan))=>(?[X]:(curious(X))))&
((~rich(fred))<=>(?[X]:((~tall(X)|~happy(X)))))&
((?[X]:((~rich(X... | ~rich(fred) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1806836270658492767642688
% SZS output start Proof for 1806836270658492767642688
1. ! [X0] : ((funny(X0) & ~happy(X0)) <=> (rich(X0) | quiet(X0))) [input p0]
11. ! [X0] : (~happy(X0) <=> (patient(X0) & ~rich(X0))) [input p10]
23. rich(fred) [input hypothesis]
34. ! [X0] : (((funny(X0) & ~... | 0 |
If lucy is either creative or rich then someone is not patient and vice versa. If someone is strong or tall then paul is either not curious or not old. If someone is not patient then someone is not creative or curious and vice versa. Everyone who is either not humble or kind is not funny. If someone is either creative ... | Susan is not creative. | neutral | (((creative(lucy)<~>rich(lucy)))<=>(?[X]:(~patient(X))))&
((?[X]:((strong(X)|tall(X))))=>((~curious(paul)<~>~old(paul))))&
((?[X]:(~patient(X)))<=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:((~humble(X)<~>kind(X))=>~funny(X)))&
((?[X]:((creative(X)<~>kind(X))))<=>((~tall(mary)<~>~humble(mary))))&
(![X]:((~curious(X)|~q... | ~creative(susan) | [] | null | 0 |
If someone is not generous or not creative then susan is either not tall or calm and vice versa. If alice is both generous and not strong then someone is not kind or generous. If mary is either not brave or rich then john is either kind or curious. If someone is happy or not strong then paul is calm or not calm. Everyo... | Paul is wise. | contradiction | ((?[X]:((~generous(X)|~creative(X))))<=>((~tall(susan)<~>calm(susan))))&
(((generous(alice)&~strong(alice)))=>(?[X]:((~kind(X)|generous(X)))))&
(((~brave(mary)<~>rich(mary)))=>((kind(john)<~>curious(john))))&
((?[X]:((happy(X)|~strong(X))))=>((calm(paul)|~calm(paul))))&
(![X]:((tall(X)&generous(X))=>~humble(X)))&
(![X]... | wise(paul) | [
"p0",
"p4",
"p6",
"p7",
"p10",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3371176155629388032971153
% SZS output start Proof for 3371176155629388032971153
1. ? [X0] : (~creative(X0) | ~generous(X0)) <=> (~tall(susan) <~> calm(susan)) [input p0]
5. ! [X0] : ((generous(X0) & tall(X0)) => ~humble(X0)) [input p4]
7. ! [X0] : (~patient(X0) <=> creative(X0)) [input p... | 0 |
If lucy is happy or not old then someone is both not strong and not generous.
If someone is either happy or strong then someone is not patient.
If susan is calm or not quiet then someone is both not brave and kind.
If someone is strong or old then alice is old and vice versa.
Everyone who is both not brave and funny is... | Lucy is creative. | entailment | (((happy(lucy)|~old(lucy)))=>(?[X]:((~strong(X)&~generous(X)))))&
((?[X]:((happy(X)<~>strong(X))))=>(?[X]:(~patient(X))))&
(((calm(susan)|~quiet(susan)))=>(?[X]:((~brave(X)&kind(X)))))&
((?[X]:((strong(X)|old(X))))<=>(old(alice)))&
(![X]:((~brave(X)&funny(X))=>(quiet(X)&~funny(X))))&
(![X]:((tall(X)&~funny(X))<=>~stron... | creative(lucy) | [
"p4",
"p7",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4622119389120254543410074
% SZS output start Proof for 4622119389120254543410074
5. ! [X0] : ((funny(X0) & ~brave(X0)) => (~funny(X0) & quiet(X0))) [input p4]
8. calm(lucy) <=> ? [X0] : (funny(X0) & brave(X0)) [input p7]
14. (wise(lucy) & creative(lucy)) <=> ? [X0] : (calm(X0) | humble(X0... | 0 |
Everyone who is not humble or not funny is both old and not rich and vice versa.
Everyone who is both not wise and not creative is either not creative or calm.
Everyone who is either not old or not funny is both brave and creative and vice versa.
Everyone who is both not calm and not creative is either funny or not cre... | Alice is calm. | entailment | (![X]:((~humble(X)|~funny(X))<=>(old(X)&~rich(X))))&
(![X]:((~wise(X)&~creative(X))=>(~creative(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(brave(X)&creative(X))))&
(![X]:((~calm(X)&~creative(X))=>(funny(X)<~>~creative(X))))&
(![X]:((~rich(X)<~>~brave(X))=>(~tall(X)<~>brave(X))))&
(((happy(alice)|~brave(alice)))=>... | calm(alice) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3613665255262527330455046
% SZS output start Proof for 3613665255262527330455046
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> (~rich(X0) & old(X0))) [input p0]
3. ! [X0] : ((~old(X0) <~> ~funny(X0)) <=> (creative(X0) & brave(X0))) [input p2]
4. ! [X0] : ((~creative(X0) & ~calm(X0)) => (fun... | 0 |
Everyone who is either rich or brave is creative and vice versa.
If john is both curious and not patient then lucy is not wise or humble and vice versa.
If alice is both not curious and not strong then lucy is curious.
Everyone who is not calm is calm.
If lucy is both not old and not tall then paul is both humble and n... | Fred is calm. | entailment | (![X]:((rich(X)<~>brave(X))<=>creative(X)))&
(((curious(john)&~patient(john)))<=>((~wise(lucy)|humble(lucy))))&
(((~curious(alice)&~strong(alice)))=>(curious(lucy)))&
(![X]:(~calm(X)=>calm(X)))&
(((~old(lucy)&~tall(lucy)))=>((humble(paul)&~quiet(paul))))&
((~old(fred))=>(?[X]:(~kind(X))))&
(((~humble(fred)&~brave(fred)... | calm(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5114310966688129126865698
% SZS output start Proof for 5114310966688129126865698
4. ! [X0] : (~calm(X0) => calm(X0)) [input p3]
25. ~calm(fred) [input hypothesis]
34. ! [X0] : (calm(X0) | calm(X0)) [ennf transformation 4]
82. calm(X0) | calm(X0) [cnf transformation 34]
119. ~calm(fred) [c... | 0 |
If someone is both not curious and not creative then someone is not strong. Everyone who is curious is either not rich or quiet and vice versa. If someone is both not calm and not patient then someone is strong or rich and vice versa. Everyone who is both not creative and creative is old. If someone is both strong and ... | John is kind. | neutral | ((?[X]:((~curious(X)&~creative(X))))=>(?[X]:(~strong(X))))&
(![X]:(curious(X)<=>(~rich(X)<~>quiet(X))))&
((?[X]:((~calm(X)&~patient(X))))<=>(?[X]:((strong(X)|rich(X)))))&
(![X]:((~creative(X)&creative(X))=>old(X)))&
((?[X]:((strong(X)&rich(X))))=>((kind(john)<~>~rich(john))))&
(![X]:((~rich(X)|~old(X))=>happy(X)))&
(((... | kind(john) | [] | null | 0 |
Everyone who is not tall or not rich is both wise and not happy and vice versa. If someone is strong or happy then someone is either not patient or not wise. Everyone who is either strong or old is both not humble and not strong. If someone is not generous then susan is either not quiet or not kind. Everyone who is bot... | Mary is not calm. | entailment | (![X]:((~tall(X)|~rich(X))<=>(wise(X)&~happy(X))))&
((?[X]:((strong(X)|happy(X))))=>(?[X]:((~patient(X)<~>~wise(X)))))&
(![X]:((strong(X)<~>old(X))=>(~humble(X)&~strong(X))))&
((?[X]:(~generous(X)))=>((~quiet(susan)<~>~kind(susan))))&
(![X]:((creative(X)&rich(X))<=>(calm(X)<~>~tall(X))))&
(![X]:((curious(X)<~>~tall(X))... | ~calm(mary) | [
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6858052943461140508691926
% SZS output start Proof for 6858052943461140508691926
6. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> humble(X0)) [input p5]
15. ! [X0] : ((patient(X0) | curious(X0)) => (~rich(X0) & humble(X0))) [input p14]
16. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (tall(X0) | ~c... | 0 |
If john is both not funny and humble then someone is patient.
Everyone who is not kind is patient or not wise and vice versa.
If john is either not curious or brave then someone is brave.
Everyone who is not tall or not funny is both not funny and not tall.
Everyone who is not tall or old is happy and vice versa.
If so... | Fred is not tall. | entailment | (((~funny(john)&humble(john)))=>(?[X]:(patient(X))))&
(![X]:(~kind(X)<=>(patient(X)|~wise(X))))&
(((~curious(john)<~>brave(john)))=>(?[X]:(brave(X))))&
(![X]:((~tall(X)|~funny(X))=>(~funny(X)&~tall(X))))&
(![X]:((~tall(X)|old(X))<=>happy(X)))&
((?[X]:((kind(X)|happy(X))))=>(?[X]:(~kind(X))))&
((wise(fred))=>((~patient(... | ~tall(fred) | [
"p3",
"p9",
"p10",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6453838674404521689631700
% SZS output start Proof for 6453838674404521689631700
4. ! [X0] : ((~funny(X0) | ~tall(X0)) => (~tall(X0) & ~funny(X0))) [input p3]
10. ? [X0] : (strong(X0) | creative(X0)) => (~patient(mary) & ~quiet(mary)) [input p9]
11. ! [X0] : ((~brave(X0) & ~creative(X0)) ... | 0 |
Everyone who is wise or calm is both not rich and not strong. If fred is not quiet then paul is calm or not quiet. Everyone who is both patient and not tall is brave or rich. Everyone who is either not happy or humble is generous or old and vice versa. Everyone who is not creative or patient is both happy and not tall.... | Lucy is kind. | entailment | (![X]:((wise(X)|calm(X))=>(~rich(X)&~strong(X))))&
((~quiet(fred))=>((calm(paul)|~quiet(paul))))&
(![X]:((patient(X)&~tall(X))=>(brave(X)|rich(X))))&
(![X]:((~happy(X)<~>humble(X))<=>(generous(X)|old(X))))&
(![X]:((~creative(X)|patient(X))=>(happy(X)&~tall(X))))&
((~quiet(fred))=>((~humble(fred)<~>~rich(fred))))&
((?[X... | kind(lucy) | [
"p0",
"p4",
"p7",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2931878014117775775121308
% SZS output start Proof for 2931878014117775775121308
1. ! [X0] : ((calm(X0) | wise(X0)) => (~strong(X0) & ~rich(X0))) [input p0]
5. ! [X0] : ((patient(X0) | ~creative(X0)) => (~tall(X0) & happy(X0))) [input p4]
8. ! [X0] : ((tall(X0) | wise(X0)) => (~funny(X0) ... | 0 |
Everyone who is not patient or not strong is wise or rich.
If someone is creative or not rich then someone is either not happy or rich and vice versa.
Everyone who is not patient is both tall and not rich.
Everyone who is either humble or tall is kind.
If someone is creative then someone is both strong and curious and ... | Paul is generous. | contradiction | (![X]:((~patient(X)|~strong(X))=>(wise(X)|rich(X))))&
((?[X]:((creative(X)|~rich(X))))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:(~patient(X)=>(tall(X)&~rich(X))))&
(![X]:((humble(X)<~>tall(X))=>kind(X)))&
((?[X]:(creative(X)))<=>(?[X]:((strong(X)&curious(X)))))&
((~patient(john))=>(?[X]:((calm(X)&patient(X)))))&
((?[X]... | generous(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4096376028865728077159386
% SZS output start Proof for 4096376028865728077159386
11. ! [X0] : ((generous(X0) | ~tall(X0)) <=> (~generous(X0) & ~wise(X0))) [input p10]
25. generous(paul) [input hypothesis]
68. ! [X0] : (((generous(X0) | ~tall(X0)) | (generous(X0) | wise(X0))) & ((~generous... | 0 |
If someone is calm or creative then alice is both not wise and patient. If someone is not quiet or not strong then paul is not quiet or not kind and vice versa. If lucy is not calm then someone is either not rich or not humble and vice versa. Everyone who is not patient is not quiet or not curious and vice versa. Every... | Susan is not humble. | entailment | ((?[X]:((calm(X)|creative(X))))=>((~wise(alice)&patient(alice))))&
((?[X]:((~quiet(X)|~strong(X))))<=>((~quiet(paul)|~kind(paul))))&
((~calm(lucy))<=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:(~patient(X)<=>(~quiet(X)|~curious(X))))&
(![X]:((~humble(X)|~generous(X))=>(~generous(X)<~>~calm(X))))&
(((~kind(paul)<~>quiet(p... | ~humble(susan) | [
"p4",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6667350075953975003312537
% SZS output start Proof for 6667350075953975003312537
5. ! [X0] : ((~generous(X0) | ~humble(X0)) => (~generous(X0) <~> ~calm(X0))) [input p4]
12. ! [X0] : ((~strong(X0) | humble(X0)) => (~calm(X0) & ~wise(X0))) [input p11]
16. ! [X0] : (~funny(X0) <=> ~generous(... | 0 |
Everyone who is both funny and not happy is both generous and not strong and vice versa.
If fred is both quiet and generous then paul is quiet or tall and vice versa.
Everyone who is either not kind or not strong is both happy and not old and vice versa.
Everyone who is not old or brave is funny and vice versa.
If some... | John is rich. | neutral | (![X]:((funny(X)&~happy(X))<=>(generous(X)&~strong(X))))&
(((quiet(fred)&generous(fred)))<=>((quiet(paul)|tall(paul))))&
(![X]:((~kind(X)<~>~strong(X))<=>(happy(X)&~old(X))))&
(![X]:((~old(X)|brave(X))<=>funny(X)))&
((?[X]:((~brave(X)|~curious(X))))<=>((~wise(john)<~>~patient(john))))&
(![X]:(wise(X)<=>(~wise(X)&~quiet... | rich(john) | [] | null | 0 |
Everyone who is not creative or not wise is both not brave and happy.
If someone is both kind and funny then someone is not tall or not strong and vice versa.
If someone is both not strong and quiet then someone is both happy and kind and vice versa.
Everyone who is both not quiet and old is either not generous or not ... | Fred is not kind. | neutral | (![X]:((~creative(X)|~wise(X))=>(~brave(X)&happy(X))))&
((?[X]:((kind(X)&funny(X))))<=>(?[X]:((~tall(X)|~strong(X)))))&
((?[X]:((~strong(X)&quiet(X))))<=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((~quiet(X)&old(X))<=>(~generous(X)<~>~funny(X))))&
(![X]:((~funny(X)&tall(X))=>(~brave(X)&creative(X))))&
(![X]:((~rich(X)<~>~wis... | ~kind(fred) | [] | null | 0 |
If mary is tall or brave then mary is happy or not strong.
Everyone who is not rich is not patient or funny and vice versa.
If john is calm then alice is both not tall and tall.
Everyone who is both not old and not generous is both old and not creative and vice versa.
Everyone who is brave is wise and vice versa.
Every... | Mary is not calm. | neutral | (((tall(mary)|brave(mary)))=>((happy(mary)|~strong(mary))))&
(![X]:(~rich(X)<=>(~patient(X)|funny(X))))&
((calm(john))=>((~tall(alice)&tall(alice))))&
(![X]:((~old(X)&~generous(X))<=>(old(X)&~creative(X))))&
(![X]:(brave(X)<=>wise(X)))&
(![X]:((~calm(X)&~funny(X))=>(curious(X)|calm(X))))&
((~happy(paul))=>((~strong(sus... | ~calm(mary) | [] | null | 0 |
If someone is both patient and humble then someone is both wise and curious.
If someone is both not funny and not wise then john is both happy and humble and vice versa.
Everyone who is funny is both calm and not funny.
If someone is creative then lucy is happy.
Everyone who is not calm is not wise and vice versa.
Ever... | John is quiet. | contradiction | ((?[X]:((patient(X)&humble(X))))=>(?[X]:((wise(X)&curious(X)))))&
((?[X]:((~funny(X)&~wise(X))))<=>((happy(john)&humble(john))))&
(![X]:(funny(X)=>(calm(X)&~funny(X))))&
((?[X]:(creative(X)))=>(happy(lucy)))&
(![X]:(~calm(X)<=>~wise(X)))&
(![X]:((~humble(X)<~>kind(X))<=>(~funny(X)<~>tall(X))))&
((?[X]:((old(X)&curious(... | quiet(john) | [
"p1",
"p2",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4520812717054470714881775
% SZS output start Proof for 4520812717054470714881775
2. ? [X0] : (~wise(X0) & ~funny(X0)) <=> (humble(john) & happy(john)) [input p1]
3. ! [X0] : (funny(X0) => (~funny(X0) & calm(X0))) [input p2]
15. ! [X0] : ((~old(X0) | happy(X0)) <=> ~quiet(X0)) [input p14]
... | 0 |
If someone is tall or not funny then fred is both not brave and calm and vice versa.
If john is not happy or not curious then someone is not brave or funny and vice versa.
If lucy is either calm or happy then mary is either not creative or not tall and vice versa.
If alice is either not calm or not humble then someone ... | Mary is rich. | entailment | ((?[X]:((tall(X)|~funny(X))))<=>((~brave(fred)&calm(fred))))&
(((~happy(john)|~curious(john)))<=>(?[X]:((~brave(X)|funny(X)))))&
(((calm(lucy)<~>happy(lucy)))<=>((~creative(mary)<~>~tall(mary))))&
(((~calm(alice)<~>~humble(alice)))=>(?[X]:((rich(X)<~>brave(X)))))&
(![X]:((~quiet(X)<~>brave(X))<=>(~quiet(X)|creative(X))... | rich(mary) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7793506440763869585808515
% SZS output start Proof for 7793506440763869585808515
7. ! [X0] : ((~patient(X0) | calm(X0)) <=> (~happy(X0) & rich(X0))) [input p6]
14. ! [X0] : ((~rich(X0) <~> ~patient(X0)) <=> (patient(X0) <~> ~calm(X0))) [input p13]
25. ~rich(mary) [input hypothesis]
51. ! ... | 0 |
Everyone who is not patient is calm. If paul is happy then someone is both not tall and not generous and vice versa. If susan is both generous and quiet then alice is both not calm and not tall and vice versa. Everyone who is not patient is not patient or patient. Everyone who is quiet is generous and vice versa. If so... | Alice is calm. | neutral | (![X]:(~patient(X)=>calm(X)))&
((happy(paul))<=>(?[X]:((~tall(X)&~generous(X)))))&
(((generous(susan)&quiet(susan)))<=>((~calm(alice)&~tall(alice))))&
(![X]:(~patient(X)=>(~patient(X)|patient(X))))&
(![X]:(quiet(X)<=>generous(X)))&
((?[X]:((~brave(X)&~humble(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(~humble(X)))<=>((~curiou... | calm(alice) | [] | null | 0 |
Everyone who is tall or humble is humble. If someone is both not generous and tall then someone is creative or calm and vice versa. If john is not happy then fred is tall or kind. Everyone who is either generous or humble is both brave and generous and vice versa. If someone is either not humble or not brave then paul ... | Fred is not old. | neutral | (![X]:((tall(X)|humble(X))=>humble(X)))&
((?[X]:((~generous(X)&tall(X))))<=>(?[X]:((creative(X)|calm(X)))))&
((~happy(john))=>((tall(fred)|kind(fred))))&
(![X]:((generous(X)<~>humble(X))<=>(brave(X)&generous(X))))&
((?[X]:((~humble(X)<~>~brave(X))))<=>(happy(paul)))&
(![X]:((quiet(X)&~generous(X))<=>(~patient(X)<~>calm... | ~old(fred) | [] | null | 0 |
If lucy is not quiet then someone is not kind. If someone is either not generous or kind then someone is both creative and not happy. Everyone who is both not funny and patient is either rich or not happy and vice versa. If fred is either not rich or calm then someone is either not kind or not brave. Everyone who is bo... | John is not wise. | entailment | ((~quiet(lucy))=>(?[X]:(~kind(X))))&
((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:((creative(X)&~happy(X)))))&
(![X]:((~funny(X)&patient(X))<=>(rich(X)<~>~happy(X))))&
(((~rich(fred)<~>calm(fred)))=>(?[X]:((~kind(X)<~>~brave(X)))))&
(![X]:((quiet(X)&~wise(X))<=>(~calm(X)<~>generous(X))))&
((?[X]:((~happy(X)&~generous(X)))... | ~wise(john) | [
"p8",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2451054194960089302274183
% SZS output start Proof for 2451054194960089302274183
9. ! [X0] : (tall(X0) <=> (quiet(X0) & curious(X0))) [input p8]
11. ! [X0] : (wise(X0) => (~happy(X0) <~> ~tall(X0))) [input p10]
14. ! [X0] : (~happy(X0) <=> (funny(X0) | ~quiet(X0))) [input p13]
19. ~quiet(... | 0 |
If someone is both not happy and patient then someone is both wise and not brave and vice versa.
Everyone who is either not funny or not strong is either strong or humble.
Everyone who is either old or humble is both rich and old and vice versa.
Everyone who is both kind and not wise is either quiet or creative and vic... | Susan is funny. | entailment | ((?[X]:((~happy(X)&patient(X))))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((~funny(X)<~>~strong(X))=>(strong(X)<~>humble(X))))&
(![X]:((old(X)<~>humble(X))<=>(rich(X)&old(X))))&
(![X]:((kind(X)&~wise(X))<=>(quiet(X)<~>creative(X))))&
(![X]:(strong(X)<=>(patient(X)&~happy(X))))&
(![X]:(~funny(X)<=>(~humble(X)&~curious(X))... | funny(susan) | [
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 133963596978686408527834
% SZS output start Proof for 133963596978686408527834
7. ! [X0] : (funny(X0) <=> (creative(X0) | ~quiet(X0))) [input p6]
10. ! [X0] : ((~calm(X0) | rich(X0)) => ~patient(X0)) [input p9]
12. ! [X0] : ((~rich(X0) | ~patient(X0)) => (~quiet(X0) & ~wise(X0))) [input p... | 0 |
Everyone who is both strong and not quiet is either quiet or rich and vice versa.
If mary is both calm and not wise then lucy is not old and vice versa.
If someone is not humble or old then someone is not generous or humble and vice versa.
If susan is either not generous or not quiet then susan is brave.
Everyone who i... | Paul is not happy. | contradiction | (![X]:((strong(X)&~quiet(X))<=>(quiet(X)<~>rich(X))))&
(((calm(mary)&~wise(mary)))<=>(~old(lucy)))&
((?[X]:((~humble(X)|old(X))))<=>(?[X]:((~generous(X)|humble(X)))))&
(((~generous(susan)<~>~quiet(susan)))=>(brave(susan)))&
(![X]:((quiet(X)|humble(X))<=>(kind(X)&brave(X))))&
(((creative(lucy)<~>brave(lucy)))<=>(brave(p... | ~happy(paul) | [
"p6",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 446546073548354485841181
% SZS output start Proof for 446546073548354485841181
7. ! [X0] : ((~funny(X0) | ~creative(X0)) <=> (~calm(X0) & ~old(X0))) [input p6]
9. ! [X0] : (~old(X0) => (happy(X0) <~> funny(X0))) [input p8]
19. ~funny(paul) [input p18]
24. ~happy(paul) [input hypothesis]
3... | 0 |
Everyone who is happy is not tall or not strong.
If mary is either not strong or not rich then alice is not rich and vice versa.
If lucy is not brave or brave then someone is calm and vice versa.
Everyone who is not funny is not humble or not curious.
If someone is not brave then someone is not creative or tall.
If som... | Fred is patient. | contradiction | (![X]:(happy(X)=>(~tall(X)|~strong(X))))&
(((~strong(mary)<~>~rich(mary)))<=>(~rich(alice)))&
(((~brave(lucy)|brave(lucy)))<=>(?[X]:(calm(X))))&
(![X]:(~funny(X)=>(~humble(X)|~curious(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~creative(X)|tall(X)))))&
((?[X]:((funny(X)<~>quiet(X))))=>((patient(lucy)&curious(lucy))))&
((?[X]:... | patient(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5701954520159801559917867
% SZS output start Proof for 5701954520159801559917867
12. ! [X0] : ((strong(X0) & ~strong(X0)) <=> (brave(X0) | patient(X0))) [input p11]
23. patient(fred) [input hypothesis]
59. ! [X0] : (((strong(X0) & ~strong(X0)) | (~brave(X0) & ~patient(X0))) & ((brave(X0) ... | 0 |
Everyone who is both not patient and not tall is tall or not funny.
If someone is happy then alice is both wise and not wise.
Everyone who is both not brave and rich is both not rich and kind and vice versa.
Everyone who is either not quiet or tall is either not funny or not patient.
If john is both not old and old the... | John is not funny. | entailment | (![X]:((~patient(X)&~tall(X))=>(tall(X)|~funny(X))))&
((?[X]:(happy(X)))=>((wise(alice)&~wise(alice))))&
(![X]:((~brave(X)&rich(X))<=>(~rich(X)&kind(X))))&
(![X]:((~quiet(X)<~>tall(X))=>(~funny(X)<~>~patient(X))))&
(((~old(john)&old(john)))=>(?[X]:((old(X)&funny(X)))))&
(![X]:((~wise(X)|tall(X))=>~wise(X)))&
(((~strong... | ~funny(john) | [
"p1",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3834392152774919990718238
% SZS output start Proof for 3834392152774919990718238
2. ? [X0] : happy(X0) => (~wise(alice) & wise(alice)) [input p1]
10. ! [X0] : (calm(X0) => (~curious(X0) & tall(X0))) [input p9]
12. ! [X0] : ((creative(X0) <~> calm(X0)) => (happy(X0) | ~creative(X0))) [inpu... | 0 |
Everyone who is strong is either not rich or old and vice versa.
Everyone who is both not brave and not curious is not calm or rich and vice versa.
Everyone who is wise or creative is not strong and vice versa.
Everyone who is patient or not tall is either happy or funny and vice versa.
If alice is quiet or not kind th... | Susan is patient. | neutral | (![X]:(strong(X)<=>(~rich(X)<~>old(X))))&
(![X]:((~brave(X)&~curious(X))<=>(~calm(X)|rich(X))))&
(![X]:((wise(X)|creative(X))<=>~strong(X)))&
(![X]:((patient(X)|~tall(X))<=>(happy(X)<~>funny(X))))&
(((quiet(alice)|~kind(alice)))=>(?[X]:((calm(X)<~>funny(X)))))&
(((rich(mary)&~kind(mary)))<=>(?[X]:((~humble(X)|quiet(X))... | patient(susan) | [] | null | 0 |
If lucy is both not happy and not curious then someone is generous.
Everyone who is not curious or not generous is both curious and not kind.
If someone is brave or not old then someone is either not funny or not tall.
If fred is brave then john is curious and vice versa.
Everyone who is both not creative and not brave... | Alice is not calm. | contradiction | (((~happy(lucy)&~curious(lucy)))=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|~generous(X))=>(curious(X)&~kind(X))))&
((?[X]:((brave(X)|~old(X))))=>(?[X]:((~funny(X)<~>~tall(X)))))&
((brave(fred))<=>(curious(john)))&
(![X]:((~creative(X)&~brave(X))<=>(~rich(X)|quiet(X))))&
(![X]:((brave(X)|wise(X))<=>(~old(X)|~creative(... | ~calm(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4446291923335648777307893
% SZS output start Proof for 4446291923335648777307893
21. calm(alice) [input p20]
24. ~calm(alice) [input hypothesis]
131. calm(alice) [cnf transformation 21]
135. ~calm(alice) [cnf transformation 24]
280. $false [subsumption resolution 135,131]
% SZS output end... | 0 |
Everyone who is not creative is not brave or not tall and vice versa.
If mary is patient or kind then someone is not strong.
Everyone who is not kind is not wise or not quiet and vice versa.
If lucy is not humble then someone is not curious.
Everyone who is both not happy and not creative is both not rich and not patie... | Alice is not patient. | neutral | (![X]:(~creative(X)<=>(~brave(X)|~tall(X))))&
(((patient(mary)|kind(mary)))=>(?[X]:(~strong(X))))&
(![X]:(~kind(X)<=>(~wise(X)|~quiet(X))))&
((~humble(lucy))=>(?[X]:(~curious(X))))&
(![X]:((~happy(X)&~creative(X))<=>(~rich(X)&~patient(X))))&
(![X]:((humble(X)&generous(X))<=>(brave(X)|tall(X))))&
(![X]:(patient(X)<=>gen... | ~patient(alice) | [] | null | 0 |
If someone is both not wise and humble then alice is either generous or tall and vice versa. If someone is either not funny or strong then paul is not happy. If someone is old or not humble then someone is not curious and vice versa. If mary is either not wise or quiet then alice is both not tall and not generous and v... | Paul is not patient. | contradiction | ((?[X]:((~wise(X)&humble(X))))<=>((generous(alice)<~>tall(alice))))&
((?[X]:((~funny(X)<~>strong(X))))=>(~happy(paul)))&
((?[X]:((old(X)|~humble(X))))<=>(?[X]:(~curious(X))))&
(((~wise(mary)<~>quiet(mary)))<=>((~tall(alice)&~generous(alice))))&
(![X]:((~rich(X)|calm(X))<=>(quiet(X)<~>funny(X))))&
(![X]:(wise(X)<=>~stro... | ~patient(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8499588826147707122570604
% SZS output start Proof for 8499588826147707122570604
18. patient(paul) & ~strong(paul) [input p17]
24. ~patient(paul) [input hypothesis]
123. patient(paul) [cnf transformation 18]
130. ~patient(paul) [cnf transformation 24]
306. $false [subsumption resolution 1... | 0 |
Everyone who is happy is not kind and vice versa.
If alice is either brave or not brave then lucy is not curious or strong and vice versa.
Everyone who is not curious is not calm or not generous.
Everyone who is both not kind and not creative is either not wise or not kind.
If alice is not patient then someone is eithe... | Fred is generous. | contradiction | (![X]:(happy(X)<=>~kind(X)))&
(((brave(alice)<~>~brave(alice)))<=>((~curious(lucy)|strong(lucy))))&
(![X]:(~curious(X)=>(~calm(X)|~generous(X))))&
(![X]:((~kind(X)&~creative(X))=>(~wise(X)<~>~kind(X))))&
((~patient(alice))<=>(?[X]:((~strong(X)<~>curious(X)))))&
(![X]:(strong(X)=>kind(X)))&
(![X]:((~humble(X)&wise(X))=>... | generous(fred) | [
"p9",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5335833007274613823555994
% SZS output start Proof for 5335833007274613823555994
10. ! [X0] : (generous(X0) <=> (creative(X0) & ~funny(X0))) [input p9]
15. ! [X0] : (~funny(X0) => (quiet(X0) & ~creative(X0))) [input p14]
24. ~funny(fred) & happy(fred) [input p23]
25. generous(fred) [input... | 0 |
Everyone who is either not tall or not humble is either quiet or wise.
If susan is either tall or not rich then susan is quiet.
If john is both not brave and not kind then mary is humble and vice versa.
Everyone who is not brave is both not generous and generous and vice versa.
If someone is either not patient or not b... | Mary is calm. | contradiction | (![X]:((~tall(X)<~>~humble(X))=>(quiet(X)<~>wise(X))))&
(((tall(susan)<~>~rich(susan)))=>(quiet(susan)))&
(((~brave(john)&~kind(john)))<=>(humble(mary)))&
(![X]:(~brave(X)<=>(~generous(X)&generous(X))))&
((?[X]:((~patient(X)<~>~brave(X))))<=>((~creative(john)<~>creative(john))))&
((?[X]:((strong(X)<~>~creative(X))))=>(... | calm(mary) | [
"p2",
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5153089840953553908786966
% SZS output start Proof for 5153089840953553908786966
3. (~kind(john) & ~brave(john)) <=> humble(mary) [input p2]
4. ! [X0] : (~brave(X0) <=> (generous(X0) & ~generous(X0))) [input p3]
15. ! [X0] : (humble(X0) <=> calm(X0)) [input p14]
25. calm(mary) [input hypo... | 0 |
Everyone who is both not kind and not brave is both not kind and not creative. Everyone who is not strong or brave is not quiet or strong. Everyone who is not happy or not strong is rich or not rich. Everyone who is not curious or humble is both not funny and not humble. If someone is not rich then someone is both not ... | Mary is quiet. | neutral | (![X]:((~kind(X)&~brave(X))=>(~kind(X)&~creative(X))))&
(![X]:((~strong(X)|brave(X))=>(~quiet(X)|strong(X))))&
(![X]:((~happy(X)|~strong(X))=>(rich(X)|~rich(X))))&
(![X]:((~curious(X)|humble(X))=>(~funny(X)&~humble(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~tall(X)&~patient(X)))))&
((?[X]:((~calm(X)|happy(X))))=>((~humble(ma... | quiet(mary) | [] | null | 0 |
If paul is creative then paul is not old or not tall.
If alice is kind or old then someone is strong or not quiet and vice versa.
If paul is either not wise or funny then someone is both generous and not happy and vice versa.
Everyone who is happy or not happy is patient or not brave and vice versa.
Everyone who is not... | Lucy is kind. | neutral | ((creative(paul))=>((~old(paul)|~tall(paul))))&
(((kind(alice)|old(alice)))<=>(?[X]:((strong(X)|~quiet(X)))))&
(((~wise(paul)<~>funny(paul)))<=>(?[X]:((generous(X)&~happy(X)))))&
(![X]:((happy(X)|~happy(X))<=>(patient(X)|~brave(X))))&
(![X]:(~happy(X)<=>~strong(X)))&
(![X]:((funny(X)<~>~humble(X))<=>(~calm(X)|~creative... | kind(lucy) | [] | null | 0 |
Everyone who is not wise is both not wise and not humble and vice versa.
Everyone who is either not rich or not quiet is either wise or brave.
Everyone who is either not calm or not strong is curious or old and vice versa.
Everyone who is humble is either funny or humble and vice versa.
If alice is either brave or not ... | Mary is not curious. | neutral | (![X]:(~wise(X)<=>(~wise(X)&~humble(X))))&
(![X]:((~rich(X)<~>~quiet(X))=>(wise(X)<~>brave(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(curious(X)|old(X))))&
(![X]:(humble(X)<=>(funny(X)<~>humble(X))))&
(((brave(alice)<~>~generous(alice)))=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|~wise(X))<=>(patient(X)<~>~old(X))))&
(![X]:(... | ~curious(mary) | [] | null | 0 |
Everyone who is funny or patient is curious or happy. Everyone who is both not curious and not rich is both curious and not kind and vice versa. If paul is not strong or brave then someone is not creative or wise. Everyone who is quiet is both not brave and not tall. Everyone who is not tall or not creative is not gene... | Paul is not wise. | contradiction | (![X]:((funny(X)|patient(X))=>(curious(X)|happy(X))))&
(![X]:((~curious(X)&~rich(X))<=>(curious(X)&~kind(X))))&
(((~strong(paul)|brave(paul)))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:(quiet(X)=>(~brave(X)&~tall(X))))&
(![X]:((~tall(X)|~creative(X))<=>(~generous(X)|calm(X))))&
((happy(alice))<=>(curious(paul)))&
((?[X]... | ~wise(paul) | [
"p1",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2789990734122736789430570
% SZS output start Proof for 2789990734122736789430570
2. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> (~kind(X0) & curious(X0))) [input p1]
8. ! [X0] : ((rich(X0) <~> curious(X0)) => ~curious(X0)) [input p7]
12. (~creative(lucy) & ~rich(lucy)) <=> ? [X0] : ~wise(X0)... | 0 |
Everyone who is either not patient or not brave is either funny or not wise.
Everyone who is curious or humble is not strong.
Everyone who is either wise or generous is either happy or not patient and vice versa.
Everyone who is both not patient and strong is patient or not funny and vice versa.
Everyone who is rich is... | Alice is strong. | neutral | (![X]:((~patient(X)<~>~brave(X))=>(funny(X)<~>~wise(X))))&
(![X]:((curious(X)|humble(X))=>~strong(X)))&
(![X]:((wise(X)<~>generous(X))<=>(happy(X)<~>~patient(X))))&
(![X]:((~patient(X)&strong(X))<=>(patient(X)|~funny(X))))&
(![X]:(rich(X)<=>brave(X)))&
(![X]:(brave(X)<=>patient(X)))&
(![X]:((~old(X)&~humble(X))=>(tall(... | strong(alice) | [] | null | 0 |
Everyone who is either not patient or not strong is both funny and not strong and vice versa.
Everyone who is either creative or not creative is curious or rich and vice versa.
If someone is humble then fred is quiet.
Everyone who is patient or tall is either not curious or calm.
If someone is either not quiet or not h... | Fred is quiet. | neutral | (![X]:((~patient(X)<~>~strong(X))<=>(funny(X)&~strong(X))))&
(![X]:((creative(X)<~>~creative(X))<=>(curious(X)|rich(X))))&
((?[X]:(humble(X)))=>(quiet(fred)))&
(![X]:((patient(X)|tall(X))=>(~curious(X)<~>calm(X))))&
((?[X]:((~quiet(X)<~>~happy(X))))<=>(~old(john)))&
(((quiet(fred)&rich(fred)))<=>(?[X]:((~rich(X)<~>~hum... | quiet(fred) | [] | null | 0 |
Everyone who is curious is kind and vice versa.
If someone is either not rich or creative then someone is kind and vice versa.
Everyone who is either funny or rich is either not curious or creative and vice versa.
Everyone who is both not brave and not kind is either not patient or kind.
Everyone who is either not happ... | Alice is not calm. | neutral | (![X]:(curious(X)<=>kind(X)))&
((?[X]:((~rich(X)<~>creative(X))))<=>(?[X]:(kind(X))))&
(![X]:((funny(X)<~>rich(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~brave(X)&~kind(X))=>(~patient(X)<~>kind(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(humble(X)|rich(X))))&
(![X]:((kind(X)<~>~old(X))<=>(rich(X)&patient(X))))&
(![X]:((b... | ~calm(alice) | [] | null | 0 |
If paul is not generous then lucy is not happy or rich.
Everyone who is not quiet or rich is patient.
Everyone who is both not old and happy is both not wise and patient and vice versa.
If john is either not happy or creative then someone is not brave or not tall.
Everyone who is either not funny or not creative is eit... | Lucy is not kind. | contradiction | ((~generous(paul))=>((~happy(lucy)|rich(lucy))))&
(![X]:((~quiet(X)|rich(X))=>patient(X)))&
(![X]:((~old(X)&happy(X))<=>(~wise(X)&patient(X))))&
(((~happy(john)<~>creative(john)))=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~funny(X)<~>~creative(X))<=>(~brave(X)<~>wise(X))))&
((?[X]:((rich(X)|wise(X))))<=>(?[X]:((~brave(X... | ~kind(lucy) | [
"p1",
"p7",
"p9",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8176236376210139839210067
% SZS output start Proof for 8176236376210139839210067
2. ! [X0] : ((rich(X0) | ~quiet(X0)) => patient(X0)) [input p1]
8. (kind(mary) & humble(mary)) <=> ? [X0] : quiet(X0) [input p7]
10. ! [X0] : ((rich(X0) | strong(X0)) => kind(X0)) [input p9]
12. ! [X0] : ((ki... | 0 |
Everyone who is either generous or not calm is both funny and not patient and vice versa.
Everyone who is rich or not patient is both not patient and humble and vice versa.
If someone is either not wise or not happy then alice is both not calm and not kind.
Everyone who is either not happy or not patient is both rich a... | Lucy is generous. | entailment | (![X]:((generous(X)<~>~calm(X))<=>(funny(X)&~patient(X))))&
(![X]:((rich(X)|~patient(X))<=>(~patient(X)&humble(X))))&
((?[X]:((~wise(X)<~>~happy(X))))=>((~calm(alice)&~kind(alice))))&
(![X]:((~happy(X)<~>~patient(X))=>(rich(X)&~wise(X))))&
(![X]:((old(X)<~>~tall(X))=>(~generous(X)|rich(X))))&
((kind(fred))<=>((tall(sus... | generous(lucy) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3961497951390061112694464
% SZS output start Proof for 3961497951390061112694464
10. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (~calm(X0) <~> ~brave(X0))) [input p9]
15. ! [X0] : ((generous(X0) <~> ~calm(X0)) <=> brave(X0)) [input p14]
22. ~generous(lucy) [input hypothesis]
55. ! [X0] : ((... | 0 |
If someone is generous or patient then someone is generous. If someone is not calm or patient then susan is generous and vice versa. If mary is strong then someone is not funny or not strong and vice versa. Everyone who is either not funny or strong is both wise and old and vice versa. If someone is both not kind and q... | Fred is brave. | neutral | ((?[X]:((generous(X)|patient(X))))=>(?[X]:(generous(X))))&
((?[X]:((~calm(X)|patient(X))))<=>(generous(susan)))&
((strong(mary))<=>(?[X]:((~funny(X)|~strong(X)))))&
(![X]:((~funny(X)<~>strong(X))<=>(wise(X)&old(X))))&
((?[X]:((~kind(X)&quiet(X))))=>((wise(fred)&brave(fred))))&
(![X]:((~patient(X)<~>strong(X))=>(~brave(... | brave(fred) | [] | null | 0 |
If mary is either not curious or strong then fred is not wise or not patient and vice versa.
Everyone who is calm or not happy is brave.
Everyone who is old is both not calm and tall.
Everyone who is old or not old is both patient and old and vice versa.
If susan is either wise or curious then someone is either not fun... | Paul is quiet. | neutral | (((~curious(mary)<~>strong(mary)))<=>((~wise(fred)|~patient(fred))))&
(![X]:((calm(X)|~happy(X))=>brave(X)))&
(![X]:(old(X)=>(~calm(X)&tall(X))))&
(![X]:((old(X)|~old(X))<=>(patient(X)&old(X))))&
(((wise(susan)<~>curious(susan)))<=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((humble(X)&~humble(X))=>(~kind(X)|patient(X))))&... | quiet(paul) | [] | null | 0 |
Everyone who is not curious or calm is patient and vice versa.
If lucy is kind then susan is not kind.
Everyone who is calm or not curious is either not patient or tall.
If someone is either not happy or not strong then susan is both funny and kind and vice versa.
If susan is either not funny or happy then someone is e... | Lucy is not creative. | neutral | (![X]:((~curious(X)|calm(X))<=>patient(X)))&
((kind(lucy))=>(~kind(susan)))&
(![X]:((calm(X)|~curious(X))=>(~patient(X)<~>tall(X))))&
((?[X]:((~happy(X)<~>~strong(X))))<=>((funny(susan)&kind(susan))))&
(((~funny(susan)<~>happy(susan)))=>(?[X]:((~generous(X)<~>generous(X)))))&
((wise(fred))<=>((happy(john)<~>~happy(john... | ~creative(lucy) | [] | null | 0 |
If john is either not kind or wise then someone is both quiet and not humble. Everyone who is happy or not curious is both not strong and old and vice versa. If someone is patient then someone is either happy or curious and vice versa. If fred is not wise then someone is either wise or not strong and vice versa. Everyo... | Mary is brave. | neutral | (((~kind(john)<~>wise(john)))=>(?[X]:((quiet(X)&~humble(X)))))&
(![X]:((happy(X)|~curious(X))<=>(~strong(X)&old(X))))&
((?[X]:(patient(X)))<=>(?[X]:((happy(X)<~>curious(X)))))&
((~wise(fred))<=>(?[X]:((wise(X)<~>~strong(X)))))&
(![X]:((kind(X)<~>rich(X))<=>(~creative(X)&~humble(X))))&
((?[X]:((~rich(X)&old(X))))=>((~br... | brave(mary) | [] | null | 0 |
Everyone who is either tall or not rich is either strong or not funny and vice versa. Everyone who is either not tall or kind is either humble or wise and vice versa. If alice is both generous and not kind then someone is either quiet or rich. Everyone who is wise or not old is either tall or not curious. Everyone who ... | Mary is curious. | contradiction | (![X]:((tall(X)<~>~rich(X))<=>(strong(X)<~>~funny(X))))&
(![X]:((~tall(X)<~>kind(X))<=>(humble(X)<~>wise(X))))&
(((generous(alice)&~kind(alice)))=>(?[X]:((quiet(X)<~>rich(X)))))&
(![X]:((wise(X)|~old(X))=>(tall(X)<~>~curious(X))))&
(![X]:((~brave(X)&~humble(X))<=>(~wise(X)&~tall(X))))&
(((happy(fred)<~>brave(fred)))<=>... | curious(mary) | [
"p1",
"p4",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1759837661578907714637537
% SZS output start Proof for 1759837661578907714637537
2. ! [X0] : ((~tall(X0) <~> kind(X0)) <=> (humble(X0) <~> wise(X0))) [input p1]
5. ! [X0] : ((~humble(X0) & ~brave(X0)) <=> (~tall(X0) & ~wise(X0))) [input p4]
10. ! [X0] : (~humble(X0) <=> (~brave(X0) | ~cur... | 0 |
Everyone who is either not kind or not brave is either happy or not wise and vice versa. If someone is both not kind and not happy then lucy is kind or not creative and vice versa. Everyone who is either wise or kind is not old or not funny. Everyone who is not creative or not happy is generous. Everyone who is either ... | Susan is not generous. | contradiction | (![X]:((~kind(X)<~>~brave(X))<=>(happy(X)<~>~wise(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((kind(lucy)|~creative(lucy))))&
(![X]:((wise(X)<~>kind(X))=>(~old(X)|~funny(X))))&
(![X]:((~creative(X)|~happy(X))=>generous(X)))&
(![X]:((humble(X)<~>old(X))<=>(~curious(X)&~humble(X))))&
(![X]:((patient(X)|~generous(X))=>rich(X... | ~generous(susan) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2100963724891344395596201
% SZS output start Proof for 2100963724891344395596201
6. ! [X0] : ((~generous(X0) | patient(X0)) => rich(X0)) [input p5]
7. ! [X0] : ((generous(X0) <~> rich(X0)) <=> generous(X0)) [input p6]
23. ~generous(susan) [input hypothesis]
33. ! [X0] : (rich(X0) | (gener... | 0 |
Everyone who is either quiet or curious is happy. If someone is both not patient and tall then susan is both not humble and not tall and vice versa. If someone is not strong or not funny then lucy is either rich or strong. Everyone who is both not funny and not strong is kind. Everyone who is both funny and not humble ... | Susan is not funny. | contradiction | (![X]:((quiet(X)<~>curious(X))=>happy(X)))&
((?[X]:((~patient(X)&tall(X))))<=>((~humble(susan)&~tall(susan))))&
((?[X]:((~strong(X)|~funny(X))))=>((rich(lucy)<~>strong(lucy))))&
(![X]:((~funny(X)&~strong(X))=>kind(X)))&
(![X]:((funny(X)&~humble(X))<=>patient(X)))&
((curious(susan))<=>(?[X]:((rich(X)|~rich(X)))))&
(![X]... | ~funny(susan) | [
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9034807185291447094916347
% SZS output start Proof for 9034807185291447094916347
5. ! [X0] : ((~humble(X0) & funny(X0)) <=> patient(X0)) [input p4]
8. ! [X0] : ((~calm(X0) | ~patient(X0)) => ~kind(X0)) [input p7]
15. ! [X0] : (~kind(X0) => (wise(X0) & patient(X0))) [input p14]
19. ~funny(... | 0 |
Everyone who is strong or generous is not humble or curious. Everyone who is both not humble and patient is either tall or curious and vice versa. If paul is both not wise and tall then paul is tall or brave and vice versa. If someone is both not curious and not tall then someone is not humble or not creative and vice ... | Alice is happy. | contradiction | (![X]:((strong(X)|generous(X))=>(~humble(X)|curious(X))))&
(![X]:((~humble(X)&patient(X))<=>(tall(X)<~>curious(X))))&
(((~wise(paul)&tall(paul)))<=>((tall(paul)|brave(paul))))&
((?[X]:((~curious(X)&~tall(X))))<=>(?[X]:((~humble(X)|~creative(X)))))&
(((~funny(alice)|calm(alice)))=>(tall(john)))&
((?[X]:((quiet(X)<~>~qui... | happy(alice) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6014152581874043456521989
% SZS output start Proof for 6014152581874043456521989
12. (calm(fred) & wise(fred)) <=> ? [X0] : (humble(X0) | happy(X0)) [input p11]
22. ~wise(fred) [input p21]
25. happy(alice) [input hypothesis]
59. ((calm(fred) & wise(fred)) | ! [X0] : (~humble(X0) & ~happy(... | 0 |
Everyone who is not funny is brave and vice versa.
If someone is not kind or old then someone is funny.
Everyone who is patient is curious.
If someone is not creative then someone is patient.
Everyone who is not creative is either not curious or not patient.
If lucy is either curious or not funny then susan is not quie... | Paul is not quiet. | entailment | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(funny(X))))&
(![X]:(patient(X)=>curious(X)))&
((?[X]:(~creative(X)))=>(?[X]:(patient(X))))&
(![X]:(~creative(X)=>(~curious(X)<~>~patient(X))))&
(((curious(lucy)<~>~funny(lucy)))=>(~quiet(susan)))&
(![X]:((~wise(X)<~>~generous(X))=>(brave(X)<~>~quiet(X))... | ~quiet(paul) | [
"p2",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1885505528678335978638020
% SZS output start Proof for 1885505528678335978638020
3. ! [X0] : (patient(X0) => curious(X0)) [input p2]
8. ! [X0] : ((~happy(X0) | ~wise(X0)) <=> (humble(X0) & quiet(X0))) [input p7]
10. (quiet(paul) <~> ~strong(paul)) <=> (happy(paul) <~> ~quiet(paul)) [input... | 0 |
If someone is either curious or not quiet then lucy is not humble. If someone is either not patient or not rich then mary is both old and not humble. Everyone who is either wise or not generous is either tall or not patient and vice versa. If lucy is old then someone is both not quiet and rich. Everyone who is calm or ... | Lucy is generous. | entailment | ((?[X]:((curious(X)<~>~quiet(X))))=>(~humble(lucy)))&
((?[X]:((~patient(X)<~>~rich(X))))=>((old(mary)&~humble(mary))))&
(![X]:((wise(X)<~>~generous(X))<=>(tall(X)<~>~patient(X))))&
((old(lucy))=>(?[X]:((~quiet(X)&rich(X)))))&
(![X]:((calm(X)|wise(X))<=>kind(X)))&
(![X]:((~tall(X)<~>~kind(X))=>(~funny(X)|~rich(X))))&
((... | generous(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p8",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1650102987207904210278697
% SZS output start Proof for 1650102987207904210278697
2. ? [X0] : (~patient(X0) <~> ~rich(X0)) => (~humble(mary) & old(mary)) [input p1]
3. ! [X0] : ((wise(X0) <~> ~generous(X0)) <=> (tall(X0) <~> ~patient(X0))) [input p2]
5. ! [X0] : ((wise(X0) | calm(X0)) <=> ... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not calm or kind.
If someone is either funny or generous then someone is both not calm and not patient.
Everyone who is both not cur... | Alice is calm. | neutral | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>(~calm(X)|kind(X))))&
((?[X]:((funny(X)<~>generous(X))))=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~curious(X)&~wise(X))=>~happy(X)))&
(((funny(paul)&~kind(paul)))<=>(?[X]:((tall(X)<~>~crea... | calm(alice) | [] | null | 0 |
Everyone who is either humble or not quiet is not wise and vice versa. If someone is not tall then someone is either old or quiet and vice versa. If someone is both rich and funny then susan is happy. If john is not strong then someone is tall or not curious. Everyone who is kind is both humble and not kind. If mary is... | Mary is calm. | entailment | (![X]:((humble(X)<~>~quiet(X))<=>~wise(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((old(X)<~>quiet(X)))))&
((?[X]:((rich(X)&funny(X))))=>(happy(susan)))&
((~strong(john))=>(?[X]:((tall(X)|~curious(X)))))&
(![X]:(kind(X)=>(humble(X)&~kind(X))))&
(((patient(mary)|happy(mary)))=>((quiet(mary)<~>strong(mary))))&
(![X]:((happy(X)<~>o... | calm(mary) | [
"p1",
"p4",
"p5",
"p7",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4751816115635923204521680
% SZS output start Proof for 4751816115635923204521680
2. ? [X0] : ~tall(X0) <=> ? [X0] : (old(X0) <~> quiet(X0)) [input p1]
5. ! [X0] : (kind(X0) => (~kind(X0) & humble(X0))) [input p4]
6. (happy(mary) | patient(mary)) => (quiet(mary) <~> strong(mary)) [input p5... | 0 |
If paul is both humble and patient then lucy is both not curious and not creative and vice versa.
Everyone who is both humble and funny is not quiet or not wise and vice versa.
Everyone who is not patient is not curious or old.
If someone is both rich and generous then alice is brave and vice versa.
Everyone who is cur... | Paul is not calm. | entailment | (((humble(paul)&patient(paul)))<=>((~curious(lucy)&~creative(lucy))))&
(![X]:((humble(X)&funny(X))<=>(~quiet(X)|~wise(X))))&
(![X]:(~patient(X)=>(~curious(X)|old(X))))&
((?[X]:((rich(X)&generous(X))))<=>(brave(alice)))&
(![X]:(curious(X)=>strong(X)))&
(((~kind(john)|curious(john)))=>(funny(paul)))&
(![X]:((~strong(X)<~... | ~calm(paul) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8844350792629599469106988
% SZS output start Proof for 8844350792629599469106988
8. (curious(paul) & ~curious(paul)) <=> ? [X0] : (wise(X0) | ~tall(X0)) [input p7]
16. ? [X0] : calm(X0) => wise(alice) [input p15]
25. calm(paul) [input hypothesis]
39. wise(alice) | ! [X0] : ~calm(X0) [ennf... | 0 |
If someone is not generous or curious then susan is either not calm or not wise and vice versa.
If someone is either not patient or humble then someone is both calm and strong and vice versa.
Everyone who is either brave or not old is both not brave and not patient.
Everyone who is both not wise and not calm is calm.
E... | Susan is not funny. | neutral | ((?[X]:((~generous(X)|curious(X))))<=>((~calm(susan)<~>~wise(susan))))&
((?[X]:((~patient(X)<~>humble(X))))<=>(?[X]:((calm(X)&strong(X)))))&
(![X]:((brave(X)<~>~old(X))=>(~brave(X)&~patient(X))))&
(![X]:((~wise(X)&~calm(X))=>calm(X)))&
(![X]:((kind(X)<~>strong(X))=>(~creative(X)&~kind(X))))&
((?[X]:(brave(X)))<=>(?[X]:... | ~funny(susan) | [] | null | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa. Everyone who is both not calm and creative is both not humble and humble and vice versa. If someone is not brave then mary is either creative or strong and vice versa. Everyone who is both strong and calm is not happy and vice versa.... | Fred is creative. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~humble(X)&humble(X))))&
((?[X]:(~brave(X)))<=>((creative(mary)<~>strong(mary))))&
(![X]:((strong(X)&calm(X))<=>~happy(X)))&
(![X]:(calm(X)=>(~wise(X)<~>~humble(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~kind(X)&rich(X))))&
(![X]:... | creative(fred) | [] | null | 0 |
If lucy is not generous or brave then fred is quiet and vice versa. Everyone who is both rich and not calm is not humble or not tall and vice versa. If mary is either curious or rich then lucy is both not patient and humble. Everyone who is rich is both funny and wise and vice versa. If someone is both not funny and ta... | Alice is not humble. | neutral | (((~generous(lucy)|brave(lucy)))<=>(quiet(fred)))&
(![X]:((rich(X)&~calm(X))<=>(~humble(X)|~tall(X))))&
(((curious(mary)<~>rich(mary)))=>((~patient(lucy)&humble(lucy))))&
(![X]:(rich(X)<=>(funny(X)&wise(X))))&
((?[X]:((~funny(X)&tall(X))))<=>(?[X]:(creative(X))))&
(((~creative(mary)|~curious(mary)))<=>(~funny(mary)))&
... | ~humble(alice) | [] | null | 0 |
Everyone who is either kind or not patient is both rich and brave and vice versa. Everyone who is both kind and not generous is not curious and vice versa. If alice is not patient or not calm then someone is not kind and vice versa. Everyone who is happy is both not creative and not brave. If mary is old then susan is ... | Fred is brave. | entailment | (![X]:((kind(X)<~>~patient(X))<=>(rich(X)&brave(X))))&
(![X]:((kind(X)&~generous(X))<=>~curious(X)))&
(((~patient(alice)|~calm(alice)))<=>(?[X]:(~kind(X))))&
(![X]:(happy(X)=>(~creative(X)&~brave(X))))&
((old(mary))<=>((~funny(susan)<~>old(susan))))&
(((~tall(john)<~>curious(john)))=>(?[X]:((humble(X)&wise(X)))))&
(![X... | brave(fred) | [
"p1",
"p6",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 240954439315479640618609
% SZS output start Proof for 240954439315479640618609
2. ! [X0] : ((~generous(X0) & kind(X0)) <=> ~curious(X0)) [input p1]
7. ! [X0] : ((~kind(X0) | wise(X0)) <=> (~quiet(X0) & ~wise(X0))) [input p6]
8. ! [X0] : ((funny(X0) | generous(X0)) => ~kind(X0)) [input p7]... | 0 |
Everyone who is not curious or not patient is either not generous or not creative.
Everyone who is happy is not strong or not funny.
Everyone who is not quiet or wise is both brave and old.
If lucy is rich or tall then paul is not humble and vice versa.
Everyone who is creative is not patient.
Everyone who is strong is... | Paul is not old. | entailment | (![X]:((~curious(X)|~patient(X))=>(~generous(X)<~>~creative(X))))&
(![X]:(happy(X)=>(~strong(X)|~funny(X))))&
(![X]:((~quiet(X)|wise(X))=>(brave(X)&old(X))))&
(((rich(lucy)|tall(lucy)))<=>(~humble(paul)))&
(![X]:(creative(X)=>~patient(X)))&
(![X]:(strong(X)<=>(rich(X)|~kind(X))))&
(![X]:((~patient(X)&generous(X))<=>(~b... | ~old(paul) | [
"p6",
"p7",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5167745029983533151124045
% SZS output start Proof for 5167745029983533151124045
7. ! [X0] : ((generous(X0) & ~patient(X0)) <=> (curious(X0) | ~brave(X0))) [input p6]
8. ! [X0] : ((funny(X0) | generous(X0)) => (funny(X0) & ~old(X0))) [input p7]
10. ? [X0] : funny(X0) <=> (~rich(paul) & ~b... | 0 |
Everyone who is not calm or not happy is both funny and not strong and vice versa. Everyone who is both not curious and not quiet is both brave and creative. Everyone who is not humble or not curious is humble and vice versa. If lucy is not brave or not creative then susan is not funny. If someone is either not old or ... | John is creative. | contradiction | (![X]:((~calm(X)|~happy(X))<=>(funny(X)&~strong(X))))&
(![X]:((~curious(X)&~quiet(X))=>(brave(X)&creative(X))))&
(![X]:((~humble(X)|~curious(X))<=>humble(X)))&
(((~brave(lucy)|~creative(lucy)))=>(~funny(susan)))&
((?[X]:((~old(X)<~>rich(X))))<=>(?[X]:(rich(X))))&
(((wise(susan)<~>~strong(susan)))<=>(?[X]:((~funny(X)<~>... | creative(john) | [
"p2",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4445043750153679461382384
% SZS output start Proof for 4445043750153679461382384
3. ! [X0] : ((~curious(X0) | ~humble(X0)) <=> humble(X0)) [input p2]
7. ? [X0] : (wise(X0) | ~curious(X0)) => (~wise(john) <~> ~tall(john)) [input p6]
11. ! [X0] : (wise(X0) <=> (creative(X0) & tall(X0))) [in... | 0 |
If someone is either not humble or not brave then fred is brave and vice versa.
Everyone who is either not patient or not generous is not strong or not funny and vice versa.
If someone is generous then paul is both not generous and not kind and vice versa.
If someone is either not tall or happy then fred is not patient... | Fred is generous. | contradiction | ((?[X]:((~humble(X)<~>~brave(X))))<=>(brave(fred)))&
(![X]:((~patient(X)<~>~generous(X))<=>(~strong(X)|~funny(X))))&
((?[X]:(generous(X)))<=>((~generous(paul)&~kind(paul))))&
((?[X]:((~tall(X)<~>happy(X))))<=>(~patient(fred)))&
(![X]:((wise(X)|kind(X))=>brave(X)))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:... | generous(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1542258120971291013881754
% SZS output start Proof for 1542258120971291013881754
10. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> strong(X0)) [input p9]
23. generous(fred) [input hypothesis]
52. ! [X0] : (((~generous(X0) | ~strong(X0)) | ~strong(X0)) & (strong(X0) | (generous(X0) & strong(... | 0 |
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