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 quiet or not curious is not generous or funny and vice versa. If fred is generous then lucy is either patient or creative. Everyone who is both not calm and not happy is either not old or not quiet. Everyone who is strong or brave is not tall or funny. If someone is both not creative and quiet then ...
Susan is wise.
entailment
(![X]:((~quiet(X)|~curious(X))<=>(~generous(X)|funny(X))))& ((generous(fred))=>((patient(lucy)<~>creative(lucy))))& (![X]:((~calm(X)&~happy(X))=>(~old(X)<~>~quiet(X))))& (![X]:((strong(X)|brave(X))=>(~tall(X)|funny(X))))& ((?[X]:((~creative(X)&quiet(X))))=>(wise(alice)))& (![X]:((~tall(X)<~>curious(X))<=>~strong(X)))& ...
wise(susan)
[ "p21", "hypothesis" ]
% SZS status Unsatisfiable for 255059361336957043115477 % SZS output start Proof for 255059361336957043115477 22. wise(susan) & kind(susan) [input p21] 24. ~wise(susan) [input hypothesis] 136. wise(susan) [cnf transformation 22] 138. ~wise(susan) [cnf transformation 24] 299. $false [subsumption resolution 138,136] % SZ...
0
Everyone who is either rich or not old is not generous or strong and vice versa. Everyone who is not tall is both not brave and not happy. Everyone who is both calm and tall is not generous and vice versa. Everyone who is both not wise and not generous is generous and vice versa. If someone is both curious and wise the...
Lucy is not tall.
contradiction
(![X]:((rich(X)<~>~old(X))<=>(~generous(X)|strong(X))))& (![X]:(~tall(X)=>(~brave(X)&~happy(X))))& (![X]:((calm(X)&tall(X))<=>~generous(X)))& (![X]:((~wise(X)&~generous(X))<=>generous(X)))& ((?[X]:((curious(X)&wise(X))))<=>(rich(alice)))& (![X]:(~curious(X)=>(rich(X)<~>humble(X))))& (![X]:((tall(X)&curious(X))=>(~humbl...
~tall(lucy)
[ "p9", "hypothesis" ]
% SZS status Unsatisfiable for 2948690358302541054981946 % SZS output start Proof for 2948690358302541054981946 10. (~calm(susan) & calm(susan)) <=> (~kind(lucy) | ~tall(lucy)) [input p9] 23. ~tall(lucy) [input hypothesis] 48. ((~calm(susan) & calm(susan)) | (kind(lucy) & tall(lucy))) & ((~kind(lucy) | ~tall(lucy)) | (...
0
If susan is not patient then someone is either not curious or not happy. If lucy is both not generous and humble then alice is either tall or happy and vice versa. If fred is tall or funny then someone is both brave and not curious and vice versa. Everyone who is not humble or old is both patient and tall and vice vers...
Lucy is not funny.
entailment
((~patient(susan))=>(?[X]:((~curious(X)<~>~happy(X)))))& (((~generous(lucy)&humble(lucy)))<=>((tall(alice)<~>happy(alice))))& (((tall(fred)|funny(fred)))<=>(?[X]:((brave(X)&~curious(X)))))& (![X]:((~humble(X)|old(X))<=>(patient(X)&tall(X))))& ((?[X]:((creative(X)|~funny(X))))<=>(?[X]:((tall(X)&rich(X)))))& (![X]:(~quie...
~funny(lucy)
[ "p3", "p6", "p8", "p12", "p13", "p17", "hypothesis" ]
% SZS status Unsatisfiable for 1398033280596410980344888 % SZS output start Proof for 1398033280596410980344888 4. ! [X0] : ((old(X0) | ~humble(X0)) <=> (tall(X0) & patient(X0))) [input p3] 7. ! [X0] : ((~wise(X0) & patient(X0)) <=> (~wise(X0) | patient(X0))) [input p6] 9. ! [X0] : (wise(X0) => curious(X0)) [input p8] ...
0
Everyone who is not curious is old. Everyone who is both not happy and creative is tall. If lucy is happy then someone is either not funny or not old. Everyone who is creative is quiet. If someone is either patient or not curious then john is either not creative or not patient. Everyone who is not creative is not kind ...
Mary is generous.
entailment
(![X]:(~curious(X)=>old(X)))& (![X]:((~happy(X)&creative(X))=>tall(X)))& ((happy(lucy))=>(?[X]:((~funny(X)<~>~old(X)))))& (![X]:(creative(X)=>quiet(X)))& ((?[X]:((patient(X)<~>~curious(X))))=>((~creative(john)<~>~patient(john))))& (![X]:(~creative(X)=>(~kind(X)|creative(X))))& (![X]:(brave(X)<=>(~creative(X)<~>~happy(X...
generous(mary)
[ "p9", "hypothesis" ]
% SZS status Unsatisfiable for 524051617498547944480160 % SZS output start Proof for 524051617498547944480160 10. ! [X0] : ((~rich(X0) | generous(X0)) <=> rich(X0)) [input p9] 25. ~generous(mary) [input hypothesis] 51. ! [X0] : (((~rich(X0) | generous(X0)) | ~rich(X0)) & (rich(X0) | (rich(X0) & ~generous(X0)))) [nnf tr...
0
Everyone who is creative is creative or calm. Everyone who is either brave or not creative is both old and patient. If someone is either patient or humble then someone is either not wise or not happy. Everyone who is either not generous or not calm is either not brave or brave. If john is not generous then alice is bot...
Mary is rich.
entailment
(![X]:(creative(X)=>(creative(X)|calm(X))))& (![X]:((brave(X)<~>~creative(X))=>(old(X)&patient(X))))& ((?[X]:((patient(X)<~>humble(X))))=>(?[X]:((~wise(X)<~>~happy(X)))))& (![X]:((~generous(X)<~>~calm(X))=>(~brave(X)<~>brave(X))))& ((~generous(john))<=>((~tall(alice)&~rich(alice))))& (![X]:(~creative(X)<=>(creative(X)&...
rich(mary)
[ "p5", "p8", "p11", "p18", "hypothesis" ]
% SZS status Unsatisfiable for 1320732764557512282308662 % SZS output start Proof for 1320732764557512282308662 6. ! [X0] : (~creative(X0) <=> (kind(X0) & creative(X0))) [input p5] 9. ! [X0] : ((wise(X0) <~> rich(X0)) => (calm(X0) | ~wise(X0))) [input p8] 12. ! [X0] : ((creative(X0) | tall(X0)) => wise(X0)) [input p11]...
0
If someone is not curious then alice is either wise or patient. Everyone who is either not curious or calm is generous or not calm and vice versa. Everyone who is both not humble and funny is either not funny or humble. If someone is old then someone is either funny or not happy. Everyone who is strong is generous. If ...
Susan is not kind.
entailment
((?[X]:(~curious(X)))=>((wise(alice)<~>patient(alice))))& (![X]:((~curious(X)<~>calm(X))<=>(generous(X)|~calm(X))))& (![X]:((~humble(X)&funny(X))=>(~funny(X)<~>humble(X))))& ((?[X]:(old(X)))=>(?[X]:((funny(X)<~>~happy(X)))))& (![X]:(strong(X)=>generous(X)))& ((?[X]:((~creative(X)<~>~old(X))))=>((brave(alice)&happy(alic...
~kind(susan)
[ "p1", "p8", "p9", "p19", "hypothesis" ]
% SZS status Unsatisfiable for 6590133079239105228991848 % SZS output start Proof for 6590133079239105228991848 2. ! [X0] : ((~curious(X0) <~> calm(X0)) <=> (~calm(X0) | generous(X0))) [input p1] 9. (~happy(susan) <~> ~generous(susan)) <=> (wise(susan) & ~old(susan)) [input p8] 10. ! [X0] : (kind(X0) => (~happy(X0) & c...
0
If someone is kind then alice is curious and vice versa. Everyone who is tall is not happy or wise and vice versa. Everyone who is not rich or strong is happy. Everyone who is either not creative or generous is not creative. Everyone who is not patient is not brave or brave and vice versa. Everyone who is not brave or ...
Paul is not humble.
contradiction
((?[X]:(kind(X)))<=>(curious(alice)))& (![X]:(tall(X)<=>(~happy(X)|wise(X))))& (![X]:((~rich(X)|strong(X))=>happy(X)))& (![X]:((~creative(X)<~>generous(X))=>~creative(X)))& (![X]:(~patient(X)<=>(~brave(X)|brave(X))))& (![X]:((~brave(X)|~strong(X))<=>(brave(X)|~rich(X))))& ((?[X]:((~old(X)&wise(X))))<=>((quiet(mary)<~>~...
~humble(paul)
[ "p1", "p9", "p11", "hypothesis" ]
% SZS status Unsatisfiable for 3946829657510214169563138 % SZS output start Proof for 3946829657510214169563138 2. ! [X0] : (tall(X0) <=> (wise(X0) | ~happy(X0))) [input p1] 10. ? [X0] : ~humble(X0) <=> ~tall(mary) [input p9] 12. ! [X0] : ((happy(X0) <~> wise(X0)) <=> (creative(X0) & ~creative(X0))) [input p11] 25. ~hu...
0
Everyone who is not humble or old is both not rich and rich and vice versa. If someone is both generous and quiet then john is either not quiet or not brave. If mary is both not calm and not quiet then someone is both not humble and brave and vice versa. If someone is either not patient or not creative then someone is ...
Mary is humble.
entailment
(![X]:((~humble(X)|old(X))<=>(~rich(X)&rich(X))))& ((?[X]:((generous(X)&quiet(X))))=>((~quiet(john)<~>~brave(john))))& (((~calm(mary)&~quiet(mary)))<=>(?[X]:((~humble(X)&brave(X)))))& ((?[X]:((~patient(X)<~>~creative(X))))=>(?[X]:((calm(X)|~tall(X)))))& (![X]:((~old(X)<~>calm(X))=>~wise(X)))& ((?[X]:((curious(X)&quiet(...
humble(mary)
[ "p0", "hypothesis" ]
% SZS status Unsatisfiable for 267156388252084494939686 % SZS output start Proof for 267156388252084494939686 1. ! [X0] : ((old(X0) | ~humble(X0)) <=> (rich(X0) & ~rich(X0))) [input p0] 25. ~humble(mary) [input hypothesis] 37. ! [X0] : (((old(X0) | ~humble(X0)) | (~rich(X0) | rich(X0))) & ((rich(X0) & ~rich(X0)) | (~ol...
0
Everyone who is either happy or old is both not happy and rich and vice versa. Everyone who is not humble or not old is not brave or kind. If someone is not tall then susan is either not funny or not calm and vice versa. Everyone who is both not calm and not strong is not old or not strong. If fred is both not creative...
Mary is not tall.
entailment
(![X]:((happy(X)<~>old(X))<=>(~happy(X)&rich(X))))& (![X]:((~humble(X)|~old(X))=>(~brave(X)|kind(X))))& ((?[X]:(~tall(X)))<=>((~funny(susan)<~>~calm(susan))))& (![X]:((~calm(X)&~strong(X))=>(~old(X)|~strong(X))))& (((~creative(fred)&~quiet(fred)))=>((~creative(susan)|curious(susan))))& ((?[X]:((~quiet(X)|~generous(X)))...
~tall(mary)
[ "p8", "p10", "p12", "p13", "p18", "hypothesis" ]
% SZS status Unsatisfiable for 909624657515254427025413 % SZS output start Proof for 909624657515254427025413 9. ! [X0] : (~funny(X0) => (~wise(X0) & funny(X0))) [input p8] 11. ! [X0] : (~humble(X0) => (~creative(X0) | ~tall(X0))) [input p10] 13. ! [X0] : ((strong(X0) | funny(X0)) <=> (creative(X0) & ~generous(X0))) [i...
0
Everyone who is both not curious and quiet is not patient or wise. Everyone who is not generous is both brave and not wise. If paul is not funny or not generous then lucy is both not kind and not creative and vice versa. Everyone who is happy or strong is generous or brave. If john is funny then john is not rich. Every...
Susan is not funny.
neutral
(![X]:((~curious(X)&quiet(X))=>(~patient(X)|wise(X))))& (![X]:(~generous(X)=>(brave(X)&~wise(X))))& (((~funny(paul)|~generous(paul)))<=>((~kind(lucy)&~creative(lucy))))& (![X]:((happy(X)|strong(X))=>(generous(X)|brave(X))))& ((funny(john))=>(~rich(john)))& (![X]:((strong(X)&tall(X))=>(curious(X)&brave(X))))& (![X]:((ha...
~funny(susan)
[]
null
0
Everyone who is both strong and not wise is either not creative or tall and vice versa. If alice is not creative or calm then john is both kind and humble. If someone is both not funny and not strong then alice is not wise and vice versa. Everyone who is both humble and curious is old or humble. If someone is either no...
Mary is not wise.
entailment
(![X]:((strong(X)&~wise(X))<=>(~creative(X)<~>tall(X))))& (((~creative(alice)|calm(alice)))=>((kind(john)&humble(john))))& ((?[X]:((~funny(X)&~strong(X))))<=>(~wise(alice)))& (![X]:((humble(X)&curious(X))=>(old(X)|humble(X))))& ((?[X]:((~happy(X)<~>~tall(X))))=>((~brave(mary)|brave(mary))))& (((~humble(john)&~happy(joh...
~wise(mary)
[ "p9", "p20", "hypothesis" ]
% SZS status Unsatisfiable for 5806538786879387172633894 % SZS output start Proof for 5806538786879387172633894 10. ? [X0] : (~rich(X0) | wise(X0)) => ~patient(lucy) [input p9] 21. patient(lucy) [input p20] 24. wise(mary) [input hypothesis] 39. ~patient(lucy) | ! [X0] : (rich(X0) & ~wise(X0)) [ennf transformation 10] 1...
0
If someone is old then someone is both happy and not creative and vice versa. If alice is both not wise and happy then lucy is not generous or kind. Everyone who is not happy is happy or not strong and vice versa. If paul is either funny or not kind then fred is not kind. If fred is funny then fred is humble and vice v...
Lucy is not tall.
entailment
((?[X]:(old(X)))<=>(?[X]:((happy(X)&~creative(X)))))& (((~wise(alice)&happy(alice)))=>((~generous(lucy)|kind(lucy))))& (![X]:(~happy(X)<=>(happy(X)|~strong(X))))& (((funny(paul)<~>~kind(paul)))=>(~kind(fred)))& ((funny(fred))<=>(humble(fred)))& ((?[X]:(strong(X)))<=>(?[X]:(funny(X))))& ((~rich(john))<=>((~old(lucy)&~fu...
~tall(lucy)
[ "p2", "p5", "p8", "p9", "p10", "p11", "p13", "p14", "p15", "hypothesis" ]
% SZS status Unsatisfiable for 6012541936574034071446111 % SZS output start Proof for 6012541936574034071446111 3. ! [X0] : (~happy(X0) <=> (~strong(X0) | happy(X0))) [input p2] 6. ? [X0] : strong(X0) <=> ? [X0] : funny(X0) [input p5] 9. ? [X0] : (funny(X0) <~> rich(X0)) <=> (brave(john) & kind(john)) [input p8] 10. ! ...
0
Everyone who is either not curious or not funny is funny. If someone is either not calm or not quiet then someone is both not old and creative and vice versa. If lucy is not generous then someone is not brave and vice versa. If someone is not kind then someone is funny and vice versa. Everyone who is not strong or not ...
John is rich.
entailment
(![X]:((~curious(X)<~>~funny(X))=>funny(X)))& ((?[X]:((~calm(X)<~>~quiet(X))))<=>(?[X]:((~old(X)&creative(X)))))& ((~generous(lucy))<=>(?[X]:(~brave(X))))& ((?[X]:(~kind(X)))<=>(?[X]:(funny(X))))& (![X]:((~strong(X)|~happy(X))<=>(humble(X)&~humble(X))))& ((?[X]:((calm(X)&curious(X))))<=>((happy(mary)|generous(mary))))&...
rich(john)
[ "p4", "p8", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 3895905002299183488688836 % SZS output start Proof for 3895905002299183488688836 5. ! [X0] : ((~happy(X0) | ~strong(X0)) <=> (~humble(X0) & humble(X0))) [input p4] 9. ! [X0] : (~brave(X0) <=> (~rich(X0) | strong(X0))) [input p8] 14. ! [X0] : ((~tall(X0) & rich(X0)) <=> ~brave(X0)) [input ...
0
Everyone who is either strong or humble is both not creative and old. Everyone who is both not rich and not strong is both tall and not rich and vice versa. Everyone who is old is creative. Everyone who is either not happy or wise is either not rich or not brave. Everyone who is old or patient is not happy and vice ver...
Paul is patient.
contradiction
(![X]:((strong(X)<~>humble(X))=>(~creative(X)&old(X))))& (![X]:((~rich(X)&~strong(X))<=>(tall(X)&~rich(X))))& (![X]:(old(X)=>creative(X)))& (![X]:((~happy(X)<~>wise(X))=>(~rich(X)<~>~brave(X))))& (![X]:((old(X)|patient(X))<=>~happy(X)))& (((rich(mary)<~>kind(mary)))<=>(?[X]:((~creative(X)<~>~strong(X)))))& (![X]:((humb...
patient(paul)
[ "p4", "p7", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 2433832289194128468287745 % SZS output start Proof for 2433832289194128468287745 5. ! [X0] : ((patient(X0) | old(X0)) <=> ~happy(X0)) [input p4] 8. ! [X0] : ((quiet(X0) & creative(X0)) <=> (~calm(X0) <~> calm(X0))) [input p7] 15. ! [X0] : (~happy(X0) => ~quiet(X0)) [input p14] 23. patient...
0
Everyone who is either not wise or not curious is both not curious and not generous and vice versa. Everyone who is both not wise and kind is patient or not calm and vice versa. If someone is not creative then someone is not generous. If susan is not rich or not strong then someone is either not calm or generous. Every...
John is not generous.
neutral
(![X]:((~wise(X)<~>~curious(X))<=>(~curious(X)&~generous(X))))& (![X]:((~wise(X)&kind(X))<=>(patient(X)|~calm(X))))& ((?[X]:(~creative(X)))=>(?[X]:(~generous(X))))& (((~rich(susan)|~strong(susan)))=>(?[X]:((~calm(X)<~>generous(X)))))& (![X]:((~curious(X)|creative(X))<=>curious(X)))& (((~creative(alice)|creative(alice))...
~generous(john)
[]
null
0
Everyone who is not strong or wise is either tall or not quiet. If fred is patient or not wise then someone is both not happy and calm and vice versa. If someone is both funny and brave then someone is both not calm and rich. If someone is not wise or not funny then fred is brave or happy and vice versa. If someone is ...
Susan is not happy.
entailment
(![X]:((~strong(X)|wise(X))=>(tall(X)<~>~quiet(X))))& (((patient(fred)|~wise(fred)))<=>(?[X]:((~happy(X)&calm(X)))))& ((?[X]:((funny(X)&brave(X))))=>(?[X]:((~calm(X)&rich(X)))))& ((?[X]:((~wise(X)|~funny(X))))<=>((brave(fred)|happy(fred))))& ((?[X]:((calm(X)<~>wise(X))))=>(?[X]:((tall(X)&brave(X)))))& (![X]:((~rich(X)|...
~happy(susan)
[ "p9", "hypothesis" ]
% SZS status Unsatisfiable for 5433758967845282379974094 % SZS output start Proof for 5433758967845282379974094 10. ! [X0] : ((calm(X0) & ~happy(X0)) <=> (curious(X0) | happy(X0))) [input p9] 22. happy(susan) [input hypothesis] 59. ! [X0] : (((calm(X0) & ~happy(X0)) | (~curious(X0) & ~happy(X0))) & ((curious(X0) | happ...
0
Everyone who is not rich is both quiet and not creative and vice versa. If someone is not patient then someone is happy. Everyone who is both not calm and not generous is either not rich or calm. Everyone who is both not creative and curious is old or curious and vice versa. If paul is not brave or not creative then so...
Mary is kind.
contradiction
(![X]:(~rich(X)<=>(quiet(X)&~creative(X))))& ((?[X]:(~patient(X)))=>(?[X]:(happy(X))))& (![X]:((~calm(X)&~generous(X))=>(~rich(X)<~>calm(X))))& (![X]:((~creative(X)&curious(X))<=>(old(X)|curious(X))))& (((~brave(paul)|~creative(paul)))<=>(?[X]:((~kind(X)<~>patient(X)))))& (![X]:(~tall(X)<=>(~brave(X)|~calm(X))))& (![X]...
kind(mary)
[ "p5", "p7", "p13", "p19", "p22", "hypothesis" ]
% SZS status Unsatisfiable for 1348155072011662637912319 % SZS output start Proof for 1348155072011662637912319 6. ! [X0] : (~tall(X0) <=> (~calm(X0) | ~brave(X0))) [input p5] 8. ! [X0] : ((~tall(X0) | wise(X0)) <=> ~humble(X0)) [input p7] 14. ! [X0] : (~brave(X0) => ~kind(X0)) [input p13] 20. calm(mary) [input p19] 23...
0
Everyone who is either not patient or curious is generous. If someone is not calm or brave then someone is either not humble or quiet. Everyone who is not patient is curious and vice versa. Everyone who is either generous or strong is brave. If paul is both not calm and not humble then someone is not old or not humble....
Susan is funny.
contradiction
(![X]:((~patient(X)<~>curious(X))=>generous(X)))& ((?[X]:((~calm(X)|brave(X))))=>(?[X]:((~humble(X)<~>quiet(X)))))& (![X]:(~patient(X)<=>curious(X)))& (![X]:((generous(X)<~>strong(X))=>brave(X)))& (((~calm(paul)&~humble(paul)))=>(?[X]:((~old(X)|~humble(X)))))& (![X]:((kind(X)<~>~curious(X))<=>(~calm(X)&~patient(X))))& ...
funny(susan)
[ "p2", "p5", "p8", "p9", "p10", "p11", "hypothesis" ]
% SZS status Unsatisfiable for 4639752999876742239941523 % SZS output start Proof for 4639752999876742239941523 3. ! [X0] : (~patient(X0) <=> curious(X0)) [input p2] 6. ! [X0] : ((kind(X0) <~> ~curious(X0)) <=> (~patient(X0) & ~calm(X0))) [input p5] 9. ! [X0] : (rich(X0) <=> funny(X0)) [input p8] 10. ! [X0] : ((quiet(X...
0
Everyone who is either not generous or not tall is not kind. Everyone who is both wise and not wise is quiet or not rich. Everyone who is not rich or not creative is not creative or tall. If someone is both wise and strong then mary is not tall or patient. Everyone who is wise or funny is both humble and not generous. ...
Paul is rich.
entailment
(![X]:((~generous(X)<~>~tall(X))=>~kind(X)))& (![X]:((wise(X)&~wise(X))=>(quiet(X)|~rich(X))))& (![X]:((~rich(X)|~creative(X))=>(~creative(X)|tall(X))))& ((?[X]:((wise(X)&strong(X))))=>((~tall(mary)|patient(mary))))& (![X]:((wise(X)|funny(X))=>(humble(X)&~generous(X))))& ((?[X]:((~humble(X)|wise(X))))<=>((funny(alice)&...
rich(paul)
[ "p0", "p2", "p4", "p8", "p10", "p12", "hypothesis" ]
% SZS status Unsatisfiable for 355222268042319395950714 % SZS output start Proof for 355222268042319395950714 1. ! [X0] : ((~generous(X0) <~> ~tall(X0)) => ~kind(X0)) [input p0] 3. ! [X0] : ((~creative(X0) | ~rich(X0)) => (tall(X0) | ~creative(X0))) [input p2] 5. ! [X0] : ((funny(X0) | wise(X0)) => (~generous(X0) & hum...
0
Everyone who is both not happy and not tall is humble and vice versa. Everyone who is not wise or not generous is either not quiet or not patient and vice versa. If someone is wise then susan is not funny. Everyone who is either not quiet or not generous is not funny. If someone is strong or brave then someone is both ...
Alice is not tall.
entailment
(![X]:((~happy(X)&~tall(X))<=>humble(X)))& (![X]:((~wise(X)|~generous(X))<=>(~quiet(X)<~>~patient(X))))& ((?[X]:(wise(X)))=>(~funny(susan)))& (![X]:((~quiet(X)<~>~generous(X))=>~funny(X)))& ((?[X]:((strong(X)|brave(X))))<=>(?[X]:((~rich(X)&~creative(X)))))& (![X]:((kind(X)<~>wise(X))=>~strong(X)))& (![X]:(wise(X)<=>(~c...
~tall(alice)
[ "p0", "p12", "p17", "hypothesis" ]
% SZS status Unsatisfiable for 4718668186845668026292125 % SZS output start Proof for 4718668186845668026292125 1. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> humble(X0)) [input p0] 13. ? [X0] : (~old(X0) | patient(X0)) <=> humble(alice) [input p12] 18. ~old(fred) & ~humble(fred) [input p17] 25. tall(alice) [input hypothesi...
0
If someone is both not patient and not creative then alice is curious or not tall and vice versa. Everyone who is wise or patient is both old and happy and vice versa. If someone is kind then someone is either old or quiet. If someone is not funny or generous then someone is patient. Everyone who is either funny or gen...
Paul is wise.
contradiction
((?[X]:((~patient(X)&~creative(X))))<=>((curious(alice)|~tall(alice))))& (![X]:((wise(X)|patient(X))<=>(old(X)&happy(X))))& ((?[X]:(kind(X)))=>(?[X]:((old(X)<~>quiet(X)))))& ((?[X]:((~funny(X)|generous(X))))=>(?[X]:(patient(X))))& (![X]:((funny(X)<~>generous(X))=>(creative(X)|~creative(X))))& ((?[X]:((~funny(X)<~>~curi...
wise(paul)
[ "p1", "p6", "p10", "p18", "hypothesis" ]
% SZS status Unsatisfiable for 763354025573075255930840 % SZS output start Proof for 763354025573075255930840 2. ! [X0] : ((patient(X0) | wise(X0)) <=> (happy(X0) & old(X0))) [input p1] 7. ! [X0] : (quiet(X0) => (~creative(X0) & strong(X0))) [input p6] 11. ! [X0] : ((~quiet(X0) <~> strong(X0)) <=> ~old(X0)) [input p10]...
0
Everyone who is not rich or not curious is either not quiet or not humble. Everyone who is not wise or funny is both not strong and happy. Everyone who is both quiet and not happy is either not kind or not happy and vice versa. If someone is either not generous or not quiet then someone is not rich or not funny and vic...
Susan is calm.
entailment
(![X]:((~rich(X)|~curious(X))=>(~quiet(X)<~>~humble(X))))& (![X]:((~wise(X)|funny(X))=>(~strong(X)&happy(X))))& (![X]:((quiet(X)&~happy(X))<=>(~kind(X)<~>~happy(X))))& ((?[X]:((~generous(X)<~>~quiet(X))))<=>(?[X]:((~rich(X)|~funny(X)))))& ((?[X]:(~patient(X)))<=>((~tall(mary)|~strong(mary))))& (((rich(susan)<~>~quiet(s...
calm(susan)
[ "p0", "p9", "p12", "p13", "p17", "hypothesis" ]
% SZS status Unsatisfiable for 2562847578697533454629601 % SZS output start Proof for 2562847578697533454629601 1. ! [X0] : ((~curious(X0) | ~rich(X0)) => (~quiet(X0) <~> ~humble(X0))) [input p0] 10. ! [X0] : ((curious(X0) | ~curious(X0)) => rich(X0)) [input p9] 13. ! [X0] : (curious(X0) <=> (quiet(X0) & ~rich(X0))) [i...
0
If alice is rich then mary is either wise or not happy and vice versa. If someone is either wise or patient then mary is both not calm and not generous. If lucy is wise then susan is not creative. Everyone who is not brave is both not kind and generous. If someone is not wise or not kind then someone is both creative a...
Alice is humble.
contradiction
((rich(alice))<=>((wise(mary)<~>~happy(mary))))& ((?[X]:((wise(X)<~>patient(X))))=>((~calm(mary)&~generous(mary))))& ((wise(lucy))=>(~creative(susan)))& (![X]:(~brave(X)=>(~kind(X)&generous(X))))& ((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((creative(X)&~curious(X)))))& (![X]:(~wise(X)=>~creative(X)))& (![X]:((brave(X)&curio...
humble(alice)
[ "p1", "p5", "p8", "p11", "p13", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 6876807672919970765990325 % SZS output start Proof for 6876807672919970765990325 2. ? [X0] : (wise(X0) <~> patient(X0)) => (~generous(mary) & ~calm(mary)) [input p1] 6. ! [X0] : (~wise(X0) => ~creative(X0)) [input p5] 9. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> calm(X0)) [input p8] 12. !...
0
If someone is funny or patient then someone is old or calm. Everyone who is not rich or not tall is both not calm and not happy and vice versa. If someone is either not brave or humble then susan is not brave or old and vice versa. If lucy is either not humble or not curious then someone is both kind and curious. Every...
Susan is brave.
neutral
((?[X]:((funny(X)|patient(X))))=>(?[X]:((old(X)|calm(X)))))& (![X]:((~rich(X)|~tall(X))<=>(~calm(X)&~happy(X))))& ((?[X]:((~brave(X)<~>humble(X))))<=>((~brave(susan)|old(susan))))& (((~humble(lucy)<~>~curious(lucy)))=>(?[X]:((kind(X)&curious(X)))))& (![X]:((curious(X)|~quiet(X))=>~wise(X)))& (![X]:((strong(X)|~humble(X...
brave(susan)
[]
null
0
If alice is rich or not creative then someone is not kind and vice versa. If paul is not kind then fred is both tall and not calm. If susan is not kind or not quiet then lucy is old. If someone is both not patient and funny then lucy is not rich or not brave. Everyone who is calm or not brave is not kind or not rich an...
Fred is not calm.
entailment
(((rich(alice)|~creative(alice)))<=>(?[X]:(~kind(X))))& ((~kind(paul))=>((tall(fred)&~calm(fred))))& (((~kind(susan)|~quiet(susan)))=>(old(lucy)))& ((?[X]:((~patient(X)&funny(X))))=>((~rich(lucy)|~brave(lucy))))& (![X]:((calm(X)|~brave(X))<=>(~kind(X)|~rich(X))))& (![X]:(old(X)=>(~creative(X)<~>kind(X))))& (![X]:((~pat...
~calm(fred)
[ "p4", "p10", "p11", "p12", "hypothesis" ]
% SZS status Unsatisfiable for 4237330347485631649860951 % SZS output start Proof for 4237330347485631649860951 5. ! [X0] : ((~brave(X0) | calm(X0)) <=> (~rich(X0) | ~kind(X0))) [input p4] 11. ! [X0] : ((~tall(X0) | ~quiet(X0)) => (~funny(X0) & kind(X0))) [input p10] 12. ? [X0] : (tall(X0) | curious(X0)) <=> ? [X0] : (...
0
Everyone who is patient is not generous or generous. If mary is either not tall or tall then someone is either patient or humble and vice versa. If someone is either not curious or generous then lucy is not kind or not happy and vice versa. If someone is both not kind and not patient then someone is both curious and qu...
John is not brave.
contradiction
(![X]:(patient(X)=>(~generous(X)|generous(X))))& (((~tall(mary)<~>tall(mary)))<=>(?[X]:((patient(X)<~>humble(X)))))& ((?[X]:((~curious(X)<~>generous(X))))<=>((~kind(lucy)|~happy(lucy))))& ((?[X]:((~kind(X)&~patient(X))))=>(?[X]:((curious(X)&quiet(X)))))& ((?[X]:(~humble(X)))<=>((brave(john)<~>rich(john))))& (((~humble(...
~brave(john)
[ "p1", "p4", "p7", "p8", "p12", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 9172758587221894147691731 % SZS output start Proof for 9172758587221894147691731 2. (~tall(mary) <~> tall(mary)) <=> ? [X0] : (patient(X0) <~> humble(X0)) [input p1] 5. ? [X0] : ~humble(X0) <=> (brave(john) <~> rich(john)) [input p4] 8. ? [X0] : (~tall(X0) & ~curious(X0)) <=> ? [X0] : (cu...
0
Everyone who is not tall is both happy and not happy. Everyone who is both generous and not creative is rich. Everyone who is either creative or humble is not calm or not old. Everyone who is curious is either funny or quiet. Everyone who is patient is humble or happy and vice versa. If someone is either brave or funny...
Fred is not tall.
contradiction
(![X]:(~tall(X)=>(happy(X)&~happy(X))))& (![X]:((generous(X)&~creative(X))=>rich(X)))& (![X]:((creative(X)<~>humble(X))=>(~calm(X)|~old(X))))& (![X]:(curious(X)=>(funny(X)<~>quiet(X))))& (![X]:(patient(X)<=>(humble(X)|happy(X))))& ((?[X]:((brave(X)<~>funny(X))))=>(?[X]:((~strong(X)|~patient(X)))))& (![X]:((~brave(X)<~>...
~tall(fred)
[ "p0", "hypothesis" ]
% SZS status Unsatisfiable for 7846608038967974150886174 % SZS output start Proof for 7846608038967974150886174 1. ! [X0] : (~tall(X0) => (~happy(X0) & happy(X0))) [input p0] 21. ~tall(fred) [input hypothesis] 24. ! [X0] : ((~happy(X0) & happy(X0)) | tall(X0)) [ennf transformation 1] 70. happy(X0) | tall(X0) [cnf trans...
0
Everyone who is both not funny and creative is not patient. If alice is both not generous and strong then someone is either wise or not brave and vice versa. If paul is not creative or not generous then john is both not old and not curious and vice versa. Everyone who is not happy is not funny and vice versa. Everyone ...
Susan is not rich.
entailment
(![X]:((~funny(X)&creative(X))=>~patient(X)))& (((~generous(alice)&strong(alice)))<=>(?[X]:((wise(X)<~>~brave(X)))))& (((~creative(paul)|~generous(paul)))<=>((~old(john)&~curious(john))))& (![X]:(~happy(X)<=>~funny(X)))& (![X]:((~tall(X)<~>patient(X))<=>(~funny(X)&rich(X))))& (![X]:((strong(X)&~wise(X))<=>~happy(X)))& ...
~rich(susan)
[ "p4", "p5", "p6", "p9", "p10", "p13", "p14", "p20", "hypothesis" ]
% SZS status Unsatisfiable for 5981770653301637054236637 % SZS output start Proof for 5981770653301637054236637 5. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> (rich(X0) & ~funny(X0))) [input p4] 6. ! [X0] : ((~wise(X0) & strong(X0)) <=> ~happy(X0)) [input p5] 7. ! [X0] : ((strong(X0) <~> happy(X0)) => tall(X0)) [input p6...
0
If someone is happy or not generous then someone is both kind and happy. If someone is not calm then susan is curious or wise and vice versa. Everyone who is both not funny and tall is either kind or rich. If fred is not strong or not calm then alice is happy or generous and vice versa. Everyone who is both kind and cu...
John is humble.
contradiction
((?[X]:((happy(X)|~generous(X))))=>(?[X]:((kind(X)&happy(X)))))& ((?[X]:(~calm(X)))<=>((curious(susan)|wise(susan))))& (![X]:((~funny(X)&tall(X))=>(kind(X)<~>rich(X))))& (((~strong(fred)|~calm(fred)))<=>((happy(alice)|generous(alice))))& (![X]:((kind(X)&curious(X))<=>(funny(X)|~old(X))))& (![X]:((~rich(X)&humble(X))<=>...
humble(john)
[ "p4", "p5", "p8", "p9", "p12", "p23", "hypothesis" ]
% SZS status Unsatisfiable for 6530031445445741584916934 % SZS output start Proof for 6530031445445741584916934 5. ! [X0] : ((curious(X0) & kind(X0)) <=> (~old(X0) | funny(X0))) [input p4] 6. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (wise(X0) & old(X0))) [input p5] 9. ! [X0] : ((curious(X0) <~> rich(X0)) <=> (~strong(X0)...
0
If paul is either not tall or not brave then mary is kind and vice versa. Everyone who is not happy is strong and vice versa. If someone is not brave or old then someone is either generous or strong and vice versa. Everyone who is humble is both happy and not wise and vice versa. Everyone who is either not kind or brav...
Fred is not generous.
neutral
(((~tall(paul)<~>~brave(paul)))<=>(kind(mary)))& (![X]:(~happy(X)<=>strong(X)))& ((?[X]:((~brave(X)|old(X))))<=>(?[X]:((generous(X)<~>strong(X)))))& (![X]:(humble(X)<=>(happy(X)&~wise(X))))& (![X]:((~kind(X)<~>brave(X))<=>(~calm(X)&old(X))))& ((?[X]:((generous(X)&~wise(X))))=>(~strong(john)))& (![X]:(~strong(X)<=>~quie...
~generous(fred)
[]
null
0
Everyone who is strong is not happy. If john is not strong then someone is calm and vice versa. If someone is either not quiet or quiet then john is both not generous and not creative and vice versa. Everyone who is either patient or not curious is not wise or generous and vice versa. Everyone who is not humble or not ...
Mary is not calm.
contradiction
(![X]:(strong(X)=>~happy(X)))& ((~strong(john))<=>(?[X]:(calm(X))))& ((?[X]:((~quiet(X)<~>quiet(X))))<=>((~generous(john)&~creative(john))))& (![X]:((patient(X)<~>~curious(X))<=>(~wise(X)|generous(X))))& (![X]:((~humble(X)|~curious(X))=>~rich(X)))& (![X]:((~brave(X)&curious(X))<=>(~calm(X)<~>rich(X))))& (((humble(lucy)...
~calm(mary)
[ "p4", "p5", "p7", "p8", "p16", "hypothesis" ]
% SZS status Unsatisfiable for 698866032691835321415427 % SZS output start Proof for 698866032691835321415427 5. ! [X0] : ((~curious(X0) | ~humble(X0)) => ~rich(X0)) [input p4] 6. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (~calm(X0) <~> rich(X0))) [input p5] 8. ! [X0] : ((~quiet(X0) & brave(X0)) <=> ~calm(X0)) [input p7...
0
If someone is either old or humble then fred is humble. Everyone who is not patient or not brave is either creative or funny and vice versa. If alice is creative then susan is not strong or not wise and vice versa. If someone is both brave and strong then fred is both kind and not curious and vice versa. Everyone who i...
Lucy is brave.
entailment
((?[X]:((old(X)<~>humble(X))))=>(humble(fred)))& (![X]:((~patient(X)|~brave(X))<=>(creative(X)<~>funny(X))))& ((creative(alice))<=>((~strong(susan)|~wise(susan))))& ((?[X]:((brave(X)&strong(X))))<=>((kind(fred)&~curious(fred))))& (![X]:(~happy(X)=>(happy(X)|kind(X))))& (![X]:(~rich(X)<=>(brave(X)|~happy(X))))& ((?[X]:(...
brave(lucy)
[ "p1", "p5", "p7", "p10", "p12", "p18", "hypothesis" ]
% SZS status Unsatisfiable for 5524639246023241946173688 % SZS output start Proof for 5524639246023241946173688 2. ! [X0] : ((~brave(X0) | ~patient(X0)) <=> (creative(X0) <~> funny(X0))) [input p1] 6. ! [X0] : (~rich(X0) <=> (~happy(X0) | brave(X0))) [input p5] 8. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (brave(X0) <~> ...
0
If someone is both patient and not calm then someone is both tall and not tall. If someone is funny then alice is strong or not generous. Everyone who is not strong or kind is both calm and not old. Everyone who is not brave or not strong is old or wise. If someone is not curious or old then someone is not quiet. If so...
Paul is not quiet.
neutral
((?[X]:((patient(X)&~calm(X))))=>(?[X]:((tall(X)&~tall(X)))))& ((?[X]:(funny(X)))=>((strong(alice)|~generous(alice))))& (![X]:((~strong(X)|kind(X))=>(calm(X)&~old(X))))& (![X]:((~brave(X)|~strong(X))=>(old(X)|wise(X))))& ((?[X]:((~curious(X)|old(X))))=>(?[X]:(~quiet(X))))& ((?[X]:(wise(X)))=>((~patient(paul)|curious(pa...
~quiet(paul)
[]
null
0
If someone is either happy or not curious then alice is not old or not tall. If someone is wise then someone is both not wise and tall. Everyone who is happy is both brave and not humble. Everyone who is kind is curious and vice versa. Everyone who is not rich is not wise or patient and vice versa. If paul is rich or n...
Alice is kind.
entailment
((?[X]:((happy(X)<~>~curious(X))))=>((~old(alice)|~tall(alice))))& ((?[X]:(wise(X)))=>(?[X]:((~wise(X)&tall(X)))))& (![X]:(happy(X)=>(brave(X)&~humble(X))))& (![X]:(kind(X)<=>curious(X)))& (![X]:(~rich(X)<=>(~wise(X)|patient(X))))& (((rich(paul)|~old(paul)))<=>((kind(susan)&~kind(susan))))& (![X]:(strong(X)=>~patient(X...
kind(alice)
[ "p3", "p10", "p18", "hypothesis" ]
% SZS status Unsatisfiable for 746936326332102297150045 % SZS output start Proof for 746936326332102297150045 4. ! [X0] : (kind(X0) <=> curious(X0)) [input p3] 11. ! [X0] : ((wise(X0) <~> ~wise(X0)) => (happy(X0) & funny(X0))) [input p10] 19. ~happy(alice) <~> curious(alice) [input p18] 22. ~kind(alice) [input hypothes...
0
Everyone who is both not kind and humble is both kind and strong. If someone is either not happy or not patient then someone is not curious or generous and vice versa. If someone is both not tall and strong then mary is either curious or funny. If mary is either not brave or humble then fred is either patient or kind a...
Alice is not creative.
neutral
(![X]:((~kind(X)&humble(X))=>(kind(X)&strong(X))))& ((?[X]:((~happy(X)<~>~patient(X))))<=>(?[X]:((~curious(X)|generous(X)))))& ((?[X]:((~tall(X)&strong(X))))=>((curious(mary)<~>funny(mary))))& (((~brave(mary)<~>humble(mary)))<=>((patient(fred)<~>kind(fred))))& (![X]:((patient(X)|~old(X))=>(generous(X)|patient(X))))& ((...
~creative(alice)
[]
null
0
Everyone who is either not creative or funny is generous and vice versa. Everyone who is both creative and kind is not creative or not happy and vice versa. If susan is not humble or not generous then someone is both funny and not patient. Everyone who is either strong or brave is funny and vice versa. If fred is kind ...
Alice is not funny.
contradiction
(![X]:((~creative(X)<~>funny(X))<=>generous(X)))& (![X]:((creative(X)&kind(X))<=>(~creative(X)|~happy(X))))& (((~humble(susan)|~generous(susan)))=>(?[X]:((funny(X)&~patient(X)))))& (![X]:((strong(X)<~>brave(X))<=>funny(X)))& ((kind(fred))=>((funny(john)<~>calm(john))))& ((?[X]:((funny(X)&~rich(X))))<=>(?[X]:((old(X)<~>...
~funny(alice)
[ "p0", "p1", "p3", "p7", "p10", "hypothesis" ]
% SZS status Unsatisfiable for 8936092392702225727843008 % SZS output start Proof for 8936092392702225727843008 1. ! [X0] : ((~creative(X0) <~> funny(X0)) <=> generous(X0)) [input p0] 2. ! [X0] : ((kind(X0) & creative(X0)) <=> (~happy(X0) | ~creative(X0))) [input p1] 4. ! [X0] : ((strong(X0) <~> brave(X0)) <=> funny(X0...
0
Everyone who is either rich or kind is either strong or not strong and vice versa. If someone is both not brave and kind then someone is either creative or not patient and vice versa. If mary is either curious or strong then mary is either not curious or not kind. If someone is both strong and old then mary is generous...
Mary is not kind.
contradiction
(![X]:((rich(X)<~>kind(X))<=>(strong(X)<~>~strong(X))))& ((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((creative(X)<~>~patient(X)))))& (((curious(mary)<~>strong(mary)))=>((~curious(mary)<~>~kind(mary))))& ((?[X]:((strong(X)&old(X))))=>((generous(mary)|humble(mary))))& (![X]:(~curious(X)<=>(~creative(X)|~calm(X))))& (![X]:(cur...
~kind(mary)
[ "p0", "p2", "p4", "p8", "p10", "p13", "p22", "hypothesis" ]
% SZS status Unsatisfiable for 388815796690572765969100 % SZS output start Proof for 388815796690572765969100 1. ! [X0] : ((rich(X0) <~> kind(X0)) <=> (strong(X0) <~> ~strong(X0))) [input p0] 3. (curious(mary) <~> strong(mary)) => (~curious(mary) <~> ~kind(mary)) [input p2] 5. ! [X0] : (~curious(X0) <=> (~calm(X0) | ~c...
0
Everyone who is either happy or kind is both not curious and wise and vice versa. Everyone who is generous or funny is rich or happy. Everyone who is patient is curious or happy and vice versa. If alice is tall or not humble then someone is wise or old. If alice is not calm then paul is either not happy or tall. Everyo...
Alice is tall.
entailment
(![X]:((happy(X)<~>kind(X))<=>(~curious(X)&wise(X))))& (![X]:((generous(X)|funny(X))=>(rich(X)|happy(X))))& (![X]:(patient(X)<=>(curious(X)|happy(X))))& (((tall(alice)|~humble(alice)))=>(?[X]:((wise(X)|old(X)))))& ((~calm(alice))=>((~happy(paul)<~>tall(paul))))& (![X]:((~old(X)&~tall(X))<=>~patient(X)))& ((?[X]:(~wise(...
tall(alice)
[ "p10", "hypothesis" ]
% SZS status Unsatisfiable for 8738094997855656174716617 % SZS output start Proof for 8738094997855656174716617 11. ! [X0] : ((~rich(X0) | ~tall(X0)) <=> tall(X0)) [input p10] 24. ~tall(alice) [input hypothesis] 62. ! [X0] : (((~rich(X0) | ~tall(X0)) | ~tall(X0)) & (tall(X0) | (rich(X0) & tall(X0)))) [nnf transformatio...
0
Everyone who is both calm and quiet is not happy or brave. Everyone who is tall is calm and vice versa. Everyone who is not generous is strong or patient and vice versa. Everyone who is creative is both brave and kind. Everyone who is generous is not brave or curious. Everyone who is both funny and curious is not funny...
Fred is not tall.
entailment
(![X]:((calm(X)&quiet(X))=>(~happy(X)|brave(X))))& (![X]:(tall(X)<=>calm(X)))& (![X]:(~generous(X)<=>(strong(X)|patient(X))))& (![X]:(creative(X)=>(brave(X)&kind(X))))& (![X]:(generous(X)=>(~brave(X)|curious(X))))& (![X]:((funny(X)&curious(X))<=>~funny(X)))& (![X]:((~quiet(X)&~funny(X))<=>(~funny(X)|calm(X))))& (![X]:(...
~tall(fred)
[ "p5", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 6854423333450738636918767 % SZS output start Proof for 6854423333450738636918767 6. ! [X0] : ((curious(X0) & funny(X0)) <=> ~funny(X0)) [input p5] 15. ! [X0] : (~tall(X0) <=> (~humble(X0) | funny(X0))) [input p14] 25. tall(fred) [input hypothesis] 43. ! [X0] : (((curious(X0) & funny(X0)) ...
0
If paul is not curious then lucy is both not generous and not kind and vice versa. Everyone who is either not curious or quiet is both not strong and generous and vice versa. Everyone who is not old is curious or brave and vice versa. Everyone who is both calm and not rich is both creative and not patient. Everyone who...
Lucy is not humble.
neutral
((~curious(paul))<=>((~generous(lucy)&~kind(lucy))))& (![X]:((~curious(X)<~>quiet(X))<=>(~strong(X)&generous(X))))& (![X]:(~old(X)<=>(curious(X)|brave(X))))& (![X]:((calm(X)&~rich(X))=>(creative(X)&~patient(X))))& (![X]:(curious(X)=>(strong(X)|generous(X))))& (![X]:((creative(X)<~>~strong(X))=>~tall(X)))& (((calm(mary)...
~humble(lucy)
[]
null
0
Everyone who is both not funny and not tall is not creative. Everyone who is not kind or old is happy and vice versa. Everyone who is both not patient and brave is not tall or curious and vice versa. Everyone who is either quiet or not brave is both not strong and funny and vice versa. Everyone who is either not calm o...
Fred is not strong.
contradiction
(![X]:((~funny(X)&~tall(X))=>~creative(X)))& (![X]:((~kind(X)|old(X))<=>happy(X)))& (![X]:((~patient(X)&brave(X))<=>(~tall(X)|curious(X))))& (![X]:((quiet(X)<~>~brave(X))<=>(~strong(X)&funny(X))))& (![X]:((~calm(X)<~>~tall(X))<=>(~funny(X)&~happy(X))))& (((~brave(fred)<~>~wise(fred)))<=>(?[X]:((creative(X)<~>brave(X)))...
~strong(fred)
[ "p2", "p5", "p7", "p9", "p11", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 2021336915176929622486041 % SZS output start Proof for 2021336915176929622486041 3. ! [X0] : ((brave(X0) & ~patient(X0)) <=> (curious(X0) | ~tall(X0))) [input p2] 6. (~brave(fred) <~> ~wise(fred)) <=> ? [X0] : (creative(X0) <~> brave(X0)) [input p5] 8. ! [X0] : ((creative(X0) | humble(X0)...
0
Everyone who is either quiet or humble is either not kind or not old. If someone is not wise or not tall then alice is humble. Everyone who is not kind or humble is not funny or wise. Everyone who is strong or not happy is not happy and vice versa. If someone is either patient or not quiet then someone is either not fu...
Mary is not kind.
entailment
(![X]:((quiet(X)<~>humble(X))=>(~kind(X)<~>~old(X))))& ((?[X]:((~wise(X)|~tall(X))))=>(humble(alice)))& (![X]:((~kind(X)|humble(X))=>(~funny(X)|wise(X))))& (![X]:((strong(X)|~happy(X))<=>~happy(X)))& ((?[X]:((patient(X)<~>~quiet(X))))=>(?[X]:((~funny(X)<~>funny(X)))))& (![X]:((~rich(X)<~>~tall(X))=>~generous(X)))& (![X...
~kind(mary)
[ "p13", "p17", "hypothesis" ]
% SZS status Unsatisfiable for 8150410520716552217797735 % SZS output start Proof for 8150410520716552217797735 14. ! [X0] : ((~patient(X0) | curious(X0)) <=> (happy(X0) & ~happy(X0))) [input p13] 18. ~kind(mary) <~> curious(mary) [input p17] 25. kind(mary) [input hypothesis] 61. ! [X0] : (((~patient(X0) | curious(X0))...
0
Everyone who is either quiet or not creative is wise and vice versa. Everyone who is not calm is both not generous and happy and vice versa. If fred is not old then someone is not creative or brave and vice versa. Everyone who is curious is not curious or not rich and vice versa. If alice is not creative then john is k...
Lucy is rich.
contradiction
(![X]:((quiet(X)<~>~creative(X))<=>wise(X)))& (![X]:(~calm(X)<=>(~generous(X)&happy(X))))& ((~old(fred))<=>(?[X]:((~creative(X)|brave(X)))))& (![X]:(curious(X)<=>(~curious(X)|~rich(X))))& ((~creative(alice))=>((kind(john)|curious(john))))& (![X]:((brave(X)&wise(X))=>(~patient(X)<~>~strong(X))))& (![X]:((generous(X)<~>~...
rich(lucy)
[ "p3", "hypothesis" ]
% SZS status Unsatisfiable for 3889139830273373299821139 % SZS output start Proof for 3889139830273373299821139 4. ! [X0] : (curious(X0) <=> (~rich(X0) | ~curious(X0))) [input p3] 24. rich(lucy) [input hypothesis] 45. ! [X0] : ((curious(X0) | (rich(X0) & curious(X0))) & ((~rich(X0) | ~curious(X0)) | ~curious(X0))) [nnf...
0
If someone is either brave or tall then paul is either not rich or not patient and vice versa. If someone is funny then someone is either not happy or rich and vice versa. Everyone who is not kind is creative or not patient and vice versa. Everyone who is both brave and curious is both not quiet and generous and vice v...
John is strong.
contradiction
((?[X]:((brave(X)<~>tall(X))))<=>((~rich(paul)<~>~patient(paul))))& ((?[X]:(funny(X)))<=>(?[X]:((~happy(X)<~>rich(X)))))& (![X]:(~kind(X)<=>(creative(X)|~patient(X))))& (![X]:((brave(X)&curious(X))<=>(~quiet(X)&generous(X))))& (((happy(paul)&funny(paul)))<=>(~funny(mary)))& (![X]:((~old(X)<~>generous(X))<=>(calm(X)&gen...
strong(john)
[ "p2", "p3", "p5", "p8", "p10", "p13", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 5116363550297065473524122 % SZS output start Proof for 5116363550297065473524122 3. ! [X0] : (~kind(X0) <=> (~patient(X0) | creative(X0))) [input p2] 4. ! [X0] : ((curious(X0) & brave(X0)) <=> (generous(X0) & ~quiet(X0))) [input p3] 6. ! [X0] : ((~old(X0) <~> generous(X0)) <=> (generous(X...
0
If someone is tall or not calm then someone is not humble or humble and vice versa. Everyone who is either not quiet or generous is both quiet and not old and vice versa. Everyone who is not wise or not rich is both not generous and brave and vice versa. Everyone who is both not patient and funny is patient or not gene...
Fred is not brave.
contradiction
((?[X]:((tall(X)|~calm(X))))<=>(?[X]:((~humble(X)|humble(X)))))& (![X]:((~quiet(X)<~>generous(X))<=>(quiet(X)&~old(X))))& (![X]:((~wise(X)|~rich(X))<=>(~generous(X)&brave(X))))& (![X]:((~patient(X)&funny(X))<=>(patient(X)|~generous(X))))& (![X]:(~happy(X)<=>(~creative(X)|~patient(X))))& ((?[X]:((kind(X)&~kind(X))))=>((...
~brave(fred)
[ "p2", "p3", "p7", "p12", "p15", "p16", "p17", "p23", "hypothesis" ]
% SZS status Unsatisfiable for 8647783596762466900745835 % SZS output start Proof for 8647783596762466900745835 3. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (brave(X0) & ~generous(X0))) [input p2] 4. ! [X0] : ((funny(X0) & ~patient(X0)) <=> (~generous(X0) | patient(X0))) [input p3] 8. ! [X0] : ((humble(X0) & ~tall(X0)) => ...
0
If fred is either not quiet or patient then susan is rich. If someone is patient or not creative then someone is both old and not tall. Everyone who is both brave and wise is either not humble or quiet. Everyone who is not patient or strong is either rich or not calm. If paul is either creative or not calm then someone...
Lucy is happy.
neutral
(((~quiet(fred)<~>patient(fred)))=>(rich(susan)))& ((?[X]:((patient(X)|~creative(X))))=>(?[X]:((old(X)&~tall(X)))))& (![X]:((brave(X)&wise(X))=>(~humble(X)<~>quiet(X))))& (![X]:((~patient(X)|strong(X))=>(rich(X)<~>~calm(X))))& (((creative(paul)<~>~calm(paul)))=>(?[X]:((~calm(X)|rich(X)))))& (![X]:((patient(X)&~generous...
happy(lucy)
[]
null
0
Everyone who is not humble is happy and vice versa. If john is not strong or patient then susan is strong and vice versa. Everyone who is not strong is tall and vice versa. If someone is not old then john is not humble. If someone is not old then alice is not curious. Everyone who is either not curious or not humble is...
John is generous.
contradiction
(![X]:(~humble(X)<=>happy(X)))& (((~strong(john)|patient(john)))<=>(strong(susan)))& (![X]:(~strong(X)<=>tall(X)))& ((?[X]:(~old(X)))=>(~humble(john)))& ((?[X]:(~old(X)))=>(~curious(alice)))& (![X]:((~curious(X)<~>~humble(X))=>(creative(X)&~calm(X))))& ((?[X]:((~wise(X)|calm(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))& (((c...
generous(john)
[ "p0", "p2", "p5", "p12", "p14", "p17", "p21", "hypothesis" ]
% SZS status Unsatisfiable for 4308666044037515470491065 % SZS output start Proof for 4308666044037515470491065 1. ! [X0] : (~humble(X0) <=> happy(X0)) [input p0] 3. ! [X0] : (~strong(X0) <=> tall(X0)) [input p2] 6. ! [X0] : ((~curious(X0) <~> ~humble(X0)) => (~calm(X0) & creative(X0))) [input p5] 13. ! [X0] : ((~curio...
0
Everyone who is either curious or not quiet is not brave or not curious and vice versa. If someone is brave or not generous then john is either not creative or not humble and vice versa. Everyone who is not calm or quiet is both not strong and not calm and vice versa. Everyone who is not tall or wise is not curious or ...
Fred is quiet.
contradiction
(![X]:((curious(X)<~>~quiet(X))<=>(~brave(X)|~curious(X))))& ((?[X]:((brave(X)|~generous(X))))<=>((~creative(john)<~>~humble(john))))& (![X]:((~calm(X)|quiet(X))<=>(~strong(X)&~calm(X))))& (![X]:((~tall(X)|wise(X))<=>(~curious(X)|happy(X))))& (![X]:((~funny(X)<~>tall(X))<=>(~rich(X)&~funny(X))))& (![X]:((calm(X)|~creat...
quiet(fred)
[ "p0", "p5", "p8", "hypothesis" ]
% SZS status Unsatisfiable for 6064338650120956280301789 % SZS output start Proof for 6064338650120956280301789 1. ! [X0] : ((curious(X0) <~> ~quiet(X0)) <=> (~curious(X0) | ~brave(X0))) [input p0] 6. ! [X0] : ((~creative(X0) | calm(X0)) => (creative(X0) & curious(X0))) [input p5] 9. ! [X0] : (quiet(X0) <=> (~creative(...
0
Everyone who is both not funny and not humble is not brave. If susan is either rich or not brave then paul is not generous or patient and vice versa. Everyone who is both happy and wise is curious or funny. If fred is both kind and funny then lucy is not strong or calm and vice versa. Everyone who is not strong or brav...
Alice is funny.
neutral
(![X]:((~funny(X)&~humble(X))=>~brave(X)))& (((rich(susan)<~>~brave(susan)))<=>((~generous(paul)|patient(paul))))& (![X]:((happy(X)&wise(X))=>(curious(X)|funny(X))))& (((kind(fred)&funny(fred)))<=>((~strong(lucy)|calm(lucy))))& (![X]:((~strong(X)|brave(X))<=>(quiet(X)&old(X))))& ((?[X]:((~quiet(X)<~>~tall(X))))<=>(?[X]...
funny(alice)
[]
null
0
Everyone who is not generous or happy is both happy and rich and vice versa. Everyone who is either creative or not tall is quiet and vice versa. Everyone who is both not wise and brave is both not quiet and not strong. If someone is both tall and strong then someone is kind or not patient and vice versa. If lucy is ei...
Lucy is not generous.
contradiction
(![X]:((~generous(X)|happy(X))<=>(happy(X)&rich(X))))& (![X]:((creative(X)<~>~tall(X))<=>quiet(X)))& (![X]:((~wise(X)&brave(X))=>(~quiet(X)&~strong(X))))& ((?[X]:((tall(X)&strong(X))))<=>(?[X]:((kind(X)|~patient(X)))))& (((quiet(lucy)<~>strong(lucy)))=>(~funny(mary)))& (![X]:((~quiet(X)&humble(X))<=>(~humble(X)&happy(X...
~generous(lucy)
[ "p0", "p5", "p6", "hypothesis" ]
% SZS status Unsatisfiable for 2392502750002320001840149 % SZS output start Proof for 2392502750002320001840149 1. ! [X0] : ((happy(X0) | ~generous(X0)) <=> (rich(X0) & happy(X0))) [input p0] 6. ! [X0] : ((humble(X0) & ~quiet(X0)) <=> (happy(X0) & ~humble(X0))) [input p5] 7. ! [X0] : ((~kind(X0) & ~humble(X0)) <=> (~pa...
0
If lucy is either funny or not strong then fred is not strong or not patient. If john is not curious or not wise then someone is not calm or rich. If someone is rich then someone is both creative and humble. Everyone who is either not funny or happy is either not curious or not humble. Everyone who is either curious or...
Mary is brave.
contradiction
(((funny(lucy)<~>~strong(lucy)))=>((~strong(fred)|~patient(fred))))& (((~curious(john)|~wise(john)))=>(?[X]:((~calm(X)|rich(X)))))& ((?[X]:(rich(X)))=>(?[X]:((creative(X)&humble(X)))))& (![X]:((~funny(X)<~>happy(X))=>(~curious(X)<~>~humble(X))))& (![X]:((curious(X)<~>~generous(X))<=>wise(X)))& (![X]:((brave(X)<~>~humbl...
brave(mary)
[ "p5", "p7", "hypothesis" ]
% SZS status Unsatisfiable for 1493517360014720059999510 % SZS output start Proof for 1493517360014720059999510 6. ! [X0] : ((brave(X0) <~> ~humble(X0)) => (~tall(X0) & tall(X0))) [input p5] 8. (tall(lucy) & ~tall(lucy)) <=> ? [X0] : (~humble(X0) | ~generous(X0)) [input p7] 23. brave(mary) [input hypothesis] 33. ! [X0]...
0
Everyone who is not funny is either not happy or humble. If fred is either not rich or not calm then fred is either not wise or generous and vice versa. Everyone who is not quiet or not calm is not creative or strong. Everyone who is either quiet or humble is not brave or humble and vice versa. If someone is wise then ...
John is creative.
contradiction
(![X]:(~funny(X)=>(~happy(X)<~>humble(X))))& (((~rich(fred)<~>~calm(fred)))<=>((~wise(fred)<~>generous(fred))))& (![X]:((~quiet(X)|~calm(X))=>(~creative(X)|strong(X))))& (![X]:((quiet(X)<~>humble(X))<=>(~brave(X)|humble(X))))& ((?[X]:(wise(X)))<=>(?[X]:((~kind(X)&~tall(X)))))& (![X]:((creative(X)|~generous(X))=>(~happy...
creative(john)
[ "p2", "p3", "p5", "p10", "hypothesis" ]
% SZS status Unsatisfiable for 8185042708214573939979079 % SZS output start Proof for 8185042708214573939979079 3. ! [X0] : ((~calm(X0) | ~quiet(X0)) => (strong(X0) | ~creative(X0))) [input p2] 4. ! [X0] : ((quiet(X0) <~> humble(X0)) <=> (humble(X0) | ~brave(X0))) [input p3] 6. ! [X0] : ((~generous(X0) | creative(X0)) ...
0
Everyone who is not generous or curious is generous or funny. If someone is not quiet or not old then john is either not quiet or not strong and vice versa. Everyone who is wise or not brave is both brave and happy and vice versa. If someone is either not generous or patient then someone is not generous. Everyone who i...
Lucy is kind.
entailment
(![X]:((~generous(X)|curious(X))=>(generous(X)|funny(X))))& ((?[X]:((~quiet(X)|~old(X))))<=>((~quiet(john)<~>~strong(john))))& (![X]:((wise(X)|~brave(X))<=>(brave(X)&happy(X))))& ((?[X]:((~generous(X)<~>patient(X))))=>(?[X]:(~generous(X))))& (![X]:((rich(X)<~>calm(X))=>(old(X)&tall(X))))& (![X]:((~strong(X)<~>humble(X)...
kind(lucy)
[ "p7", "p22", "hypothesis" ]
% SZS status Unsatisfiable for 3125230536160565180997033 % SZS output start Proof for 3125230536160565180997033 8. ? [X0] : curious(X0) => (~humble(lucy) & kind(lucy)) [input p7] 23. old(alice) & curious(alice) [input p22] 25. ~kind(lucy) [input hypothesis] 33. (~humble(lucy) & kind(lucy)) | ! [X0] : ~curious(X0) [ennf...
0
If someone is old then lucy is either tall or humble. Everyone who is either humble or not old is not calm or not patient. Everyone who is both not rich and old is either tall or not happy and vice versa. If fred is wise then someone is brave and vice versa. Everyone who is happy or not quiet is both not humble and not...
Lucy is humble.
entailment
((?[X]:(old(X)))=>((tall(lucy)<~>humble(lucy))))& (![X]:((humble(X)<~>~old(X))=>(~calm(X)|~patient(X))))& (![X]:((~rich(X)&old(X))<=>(tall(X)<~>~happy(X))))& ((wise(fred))<=>(?[X]:(brave(X))))& (![X]:((happy(X)|~quiet(X))=>(~humble(X)&~tall(X))))& (![X]:(~rich(X)<=>(funny(X)<~>~patient(X))))& (![X]:((humble(X)|quiet(X)...
humble(lucy)
[ "p0", "p4", "p8", "p17", "hypothesis" ]
% SZS status Unsatisfiable for 8129182351046946440409285 % SZS output start Proof for 8129182351046946440409285 1. ? [X0] : old(X0) => (tall(lucy) <~> humble(lucy)) [input p0] 5. ! [X0] : ((~quiet(X0) | happy(X0)) => (~tall(X0) & ~humble(X0))) [input p4] 9. ! [X0] : ((~patient(X0) <~> ~happy(X0)) <=> (~patient(X0) <~> ...
0
Everyone who is generous or not kind is both not curious and wise and vice versa. Everyone who is either not happy or not creative is generous or kind and vice versa. Everyone who is generous or happy is either not strong or not wise. If mary is both generous and not creative then paul is both not tall and not creative...
Paul is not brave.
neutral
(![X]:((generous(X)|~kind(X))<=>(~curious(X)&wise(X))))& (![X]:((~happy(X)<~>~creative(X))<=>(generous(X)|kind(X))))& (![X]:((generous(X)|happy(X))=>(~strong(X)<~>~wise(X))))& (((generous(mary)&~creative(mary)))<=>((~tall(paul)&~creative(paul))))& (![X]:((~happy(X)&~humble(X))<=>(~brave(X)|rich(X))))& (![X]:((strong(X)...
~brave(paul)
[]
null
0
Everyone who is calm or not brave is either not quiet or old and vice versa. Everyone who is not curious or not kind is not humble or not calm. Everyone who is strong or curious is not strong and vice versa. Everyone who is not wise is both brave and not patient. If someone is brave or tall then fred is both brave and ...
Lucy is not rich.
neutral
(![X]:((calm(X)|~brave(X))<=>(~quiet(X)<~>old(X))))& (![X]:((~curious(X)|~kind(X))=>(~humble(X)|~calm(X))))& (![X]:((strong(X)|curious(X))<=>~strong(X)))& (![X]:(~wise(X)=>(brave(X)&~patient(X))))& ((?[X]:((brave(X)|tall(X))))=>((brave(fred)&~wise(fred))))& (![X]:(curious(X)=>creative(X)))& (![X]:((~curious(X)<~>~tall(...
~rich(lucy)
[]
null
0
Everyone who is happy or not wise is both not rich and generous and vice versa. Everyone who is both happy and brave is quiet and vice versa. If mary is either happy or calm then paul is rich and vice versa. Everyone who is both old and strong is not kind or tall. If john is calm or strong then someone is not happy and...
Susan is not happy.
neutral
(![X]:((happy(X)|~wise(X))<=>(~rich(X)&generous(X))))& (![X]:((happy(X)&brave(X))<=>quiet(X)))& (((happy(mary)<~>calm(mary)))<=>(rich(paul)))& (![X]:((old(X)&strong(X))=>(~kind(X)|tall(X))))& (((calm(john)|strong(john)))<=>(?[X]:(~happy(X))))& ((?[X]:(~old(X)))=>(?[X]:((~funny(X)<~>~brave(X)))))& (![X]:((~funny(X)<~>~c...
~happy(susan)
[]
null
0
Everyone who is either happy or not creative is not brave and vice versa. Everyone who is not patient is both humble and not kind. If someone is wise or generous then someone is either calm or happy. Everyone who is either not patient or not humble is either wise or rich and vice versa. If fred is not brave then alice ...
Alice is brave.
neutral
(![X]:((happy(X)<~>~creative(X))<=>~brave(X)))& (![X]:(~patient(X)=>(humble(X)&~kind(X))))& ((?[X]:((wise(X)|generous(X))))=>(?[X]:((calm(X)<~>happy(X)))))& (![X]:((~patient(X)<~>~humble(X))<=>(wise(X)<~>rich(X))))& ((~brave(fred))=>((quiet(alice)<~>~curious(alice))))& (![X]:((~creative(X)<~>~happy(X))=>(happy(X)<~>~ca...
brave(alice)
[]
null
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 patient.
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...
patient(paul)
[ "p4", "p7", "p8", "p11", "p12", "p13", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 3138629541448545678902377 % SZS output start Proof for 3138629541448545678902377 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
Everyone who is both curious and not strong is generous and vice versa. Everyone who is quiet is not calm. If someone is either funny or not patient then someone is calm or quiet and vice versa. Everyone who is kind is not old and vice versa. If paul is either not old or strong then someone is not curious or old. Every...
Lucy is not happy.
entailment
(![X]:((curious(X)&~strong(X))<=>generous(X)))& (![X]:(quiet(X)=>~calm(X)))& ((?[X]:((funny(X)<~>~patient(X))))<=>(?[X]:((calm(X)|quiet(X)))))& (![X]:(kind(X)<=>~old(X)))& (((~old(paul)<~>strong(paul)))=>(?[X]:((~curious(X)|old(X)))))& (![X]:((~tall(X)|~strong(X))=>(patient(X)&~kind(X))))& (![X]:((brave(X)|rich(X))<=>h...
~happy(lucy)
[ "p0", "p3", "p5", "p12", "hypothesis" ]
% SZS status Unsatisfiable for 5113998849707442491798929 % SZS output start Proof for 5113998849707442491798929 1. ! [X0] : ((~strong(X0) & curious(X0)) <=> generous(X0)) [input p0] 4. ! [X0] : (kind(X0) <=> ~old(X0)) [input p3] 6. ! [X0] : ((~strong(X0) | ~tall(X0)) => (~kind(X0) & patient(X0))) [input p5] 13. ! [X0] ...
0
If someone is humble then susan is both happy and not rich and vice versa. Everyone who is calm is both not calm and not strong. Everyone who is not curious is both not old and rich. If lucy is both curious and humble then someone is not funny or calm and vice versa. Everyone who is generous or curious is both strong a...
Susan is not old.
entailment
((?[X]:(humble(X)))<=>((happy(susan)&~rich(susan))))& (![X]:(calm(X)=>(~calm(X)&~strong(X))))& (![X]:(~curious(X)=>(~old(X)&rich(X))))& (((curious(lucy)&humble(lucy)))<=>(?[X]:((~funny(X)|calm(X)))))& (![X]:((generous(X)|curious(X))=>(strong(X)&quiet(X))))& (![X]:(~tall(X)<=>(curious(X)|wise(X))))& (![X]:((~happy(X)|~r...
~old(susan)
[ "p2", "p4", "p8", "hypothesis" ]
% SZS status Unsatisfiable for 8073570827219250691104792 % SZS output start Proof for 8073570827219250691104792 3. ! [X0] : (~curious(X0) => (rich(X0) & ~old(X0))) [input p2] 5. ! [X0] : ((curious(X0) | generous(X0)) => (quiet(X0) & strong(X0))) [input p4] 9. ! [X0] : (~strong(X0) <=> old(X0)) [input p8] 25. old(susan)...
0
Everyone who is both brave and not strong is not calm or curious and vice versa. If lucy is humble or generous then someone is not generous or creative. If john is both not rich and kind then someone is both strong and not kind and vice versa. If someone is not calm then paul is either wise or not rich and vice versa. ...
Lucy is humble.
neutral
(![X]:((brave(X)&~strong(X))<=>(~calm(X)|curious(X))))& (((humble(lucy)|generous(lucy)))=>(?[X]:((~generous(X)|creative(X)))))& (((~rich(john)&kind(john)))<=>(?[X]:((strong(X)&~kind(X)))))& ((?[X]:(~calm(X)))<=>((wise(paul)<~>~rich(paul))))& (![X]:((~patient(X)|old(X))<=>(patient(X)<~>strong(X))))& ((?[X]:((~old(X)<~>g...
humble(lucy)
[]
null
0
Everyone who is both not generous and creative is either not patient or not generous and vice versa. If mary is either patient or kind then someone is both brave and strong. If someone is creative or not generous then mary is both not brave and not creative and vice versa. If someone is not happy then alice is both hap...
John is not patient.
entailment
(![X]:((~generous(X)&creative(X))<=>(~patient(X)<~>~generous(X))))& (((patient(mary)<~>kind(mary)))=>(?[X]:((brave(X)&strong(X)))))& ((?[X]:((creative(X)|~generous(X))))<=>((~brave(mary)&~creative(mary))))& ((?[X]:(~happy(X)))<=>((happy(alice)&~quiet(alice))))& (![X]:((~happy(X)|patient(X))=>(quiet(X)&~quiet(X))))& ((?...
~patient(john)
[ "p4", "hypothesis" ]
% SZS status Unsatisfiable for 1405847806608867891720575 % SZS output start Proof for 1405847806608867891720575 5. ! [X0] : ((patient(X0) | ~happy(X0)) => (~quiet(X0) & quiet(X0))) [input p4] 23. patient(john) [input hypothesis] 25. ! [X0] : ((~quiet(X0) & quiet(X0)) | (~patient(X0) & happy(X0))) [ennf transformation 5...
0
If someone is curious then someone is both not creative and not calm and vice versa. Everyone who is funny is funny or not old. Everyone who is either humble or not rich is not rich or patient. Everyone who is wise is either not strong or wise and vice versa. Everyone who is not wise is humble and vice versa. If lucy i...
Susan is rich.
neutral
((?[X]:(curious(X)))<=>(?[X]:((~creative(X)&~calm(X)))))& (![X]:(funny(X)=>(funny(X)|~old(X))))& (![X]:((humble(X)<~>~rich(X))=>(~rich(X)|patient(X))))& (![X]:(wise(X)<=>(~strong(X)<~>wise(X))))& (![X]:(~wise(X)<=>humble(X)))& (((humble(lucy)&~patient(lucy)))=>(?[X]:((generous(X)|~curious(X)))))& (![X]:((~happy(X)&~cal...
rich(susan)
[]
null
0
If alice is rich or happy then john is not humble or brave. Everyone who is either old or not creative is not calm. Everyone who is either not wise or creative is creative or not calm. If alice is both not curious and rich then someone is both not brave and kind. Everyone who is strong or not wise is both curious and s...
Paul is curious.
entailment
(((rich(alice)|happy(alice)))=>((~humble(john)|brave(john))))& (![X]:((old(X)<~>~creative(X))=>~calm(X)))& (![X]:((~wise(X)<~>creative(X))=>(creative(X)|~calm(X))))& (((~curious(alice)&rich(alice)))=>(?[X]:((~brave(X)&kind(X)))))& (![X]:((strong(X)|~wise(X))<=>(curious(X)&strong(X))))& (![X]:(strong(X)=>(quiet(X)<~>~cr...
curious(paul)
[ "p4", "p8", "p19", "hypothesis" ]
% SZS status Unsatisfiable for 7695721035184596366173952 % SZS output start Proof for 7695721035184596366173952 5. ! [X0] : ((~wise(X0) | strong(X0)) <=> (strong(X0) & curious(X0))) [input p4] 9. ? [X0] : (~curious(X0) | quiet(X0)) <=> strong(paul) [input p8] 20. ? [X0] : (~curious(X0) & wise(X0)) [input p19] 25. ~curi...
0
If mary is both not strong and creative then john is both generous and patient. If someone is wise then susan is patient or not old and vice versa. If someone is either not rich or not old then susan is either humble or curious and vice versa. Everyone who is both not patient and not creative is both not brave and not ...
Mary is not kind.
neutral
(((~strong(mary)&creative(mary)))=>((generous(john)&patient(john))))& ((?[X]:(wise(X)))<=>((patient(susan)|~old(susan))))& ((?[X]:((~rich(X)<~>~old(X))))<=>((humble(susan)<~>curious(susan))))& (![X]:((~patient(X)&~creative(X))<=>(~brave(X)&~quiet(X))))& (![X]:(generous(X)<=>(happy(X)|~generous(X))))& (![X]:((~funny(X)<...
~kind(mary)
[]
null
0
If lucy is either curious or kind then someone is curious and vice versa. If someone is not curious then mary is not patient. Everyone who is either not humble or not brave is both happy and not creative and vice versa. If someone is either not brave or wise then susan is both not wise and kind and vice versa. Everyone...
Fred is wise.
contradiction
(((curious(lucy)<~>kind(lucy)))<=>(?[X]:(curious(X))))& ((?[X]:(~curious(X)))=>(~patient(mary)))& (![X]:((~humble(X)<~>~brave(X))<=>(happy(X)&~creative(X))))& ((?[X]:((~brave(X)<~>wise(X))))<=>((~wise(susan)&kind(susan))))& (![X]:(~creative(X)<=>(~quiet(X)|humble(X))))& (![X]:((~old(X)&~calm(X))<=>old(X)))& (![X]:((~qu...
wise(fred)
[ "p4", "p5", "p8", "p12", "p14", "p16", "hypothesis" ]
% SZS status Unsatisfiable for 8750690781548052456241561 % SZS output start Proof for 8750690781548052456241561 5. ! [X0] : (~creative(X0) <=> (humble(X0) | ~quiet(X0))) [input p4] 6. ! [X0] : ((~calm(X0) & ~old(X0)) <=> old(X0)) [input p5] 9. ! [X0] : ((~generous(X0) | ~curious(X0)) <=> (~wise(X0) | ~creative(X0))) [i...
0
Everyone who is both quiet and not happy is rich or not kind and vice versa. If fred is either not curious or rich then someone is both not old and not funny and vice versa. Everyone who is both happy and not tall is both brave and not wise. Everyone who is not old is creative or not funny and vice versa. If someone is...
Lucy is humble.
neutral
(![X]:((quiet(X)&~happy(X))<=>(rich(X)|~kind(X))))& (((~curious(fred)<~>rich(fred)))<=>(?[X]:((~old(X)&~funny(X)))))& (![X]:((happy(X)&~tall(X))=>(brave(X)&~wise(X))))& (![X]:(~old(X)<=>(creative(X)|~funny(X))))& ((?[X]:(~quiet(X)))=>((~strong(john)<~>~old(john))))& (![X]:((~quiet(X)<~>~funny(X))=>~strong(X)))& (![X]:(...
humble(lucy)
[]
null
0
Everyone who is creative is both not brave and not humble. Everyone who is both quiet and not kind is either generous or strong and vice versa. Everyone who is either calm or kind is rich and vice versa. If john is both not rich and not wise then fred is either not humble or old. Everyone who is both brave and not quie...
Fred is kind.
entailment
(![X]:(creative(X)=>(~brave(X)&~humble(X))))& (![X]:((quiet(X)&~kind(X))<=>(generous(X)<~>strong(X))))& (![X]:((calm(X)<~>kind(X))<=>rich(X)))& (((~rich(john)&~wise(john)))=>((~humble(fred)<~>old(fred))))& (![X]:((brave(X)&~quiet(X))<=>(~tall(X)&calm(X))))& (![X]:(~creative(X)<=>(~humble(X)<~>strong(X))))& (![X]:((funn...
kind(fred)
[ "p2", "p7", "p9", "p11", "hypothesis" ]
% SZS status Unsatisfiable for 6443423734734563291576006 % SZS output start Proof for 6443423734734563291576006 3. ! [X0] : ((calm(X0) <~> kind(X0)) <=> rich(X0)) [input p2] 8. ! [X0] : (kind(X0) <=> (funny(X0) <~> ~calm(X0))) [input p7] 10. ! [X0] : ((~old(X0) | ~rich(X0)) => ~funny(X0)) [input p9] 12. ! [X0] : ((~cal...
0
Everyone who is not creative or tall is not funny. If someone is both rich and not old then fred is both not creative and not patient and vice versa. Everyone who is either curious or tall is not happy and vice versa. If john is not strong or not kind then fred is both not happy and humble. Everyone who is not humble i...
Paul is not tall.
entailment
(![X]:((~creative(X)|tall(X))=>~funny(X)))& ((?[X]:((rich(X)&~old(X))))<=>((~creative(fred)&~patient(fred))))& (![X]:((curious(X)<~>tall(X))<=>~happy(X)))& (((~strong(john)|~kind(john)))=>((~happy(fred)&humble(fred))))& (![X]:(~humble(X)=>(wise(X)<~>rich(X))))& (((generous(alice)&humble(alice)))=>(?[X]:((wise(X)|~humbl...
~tall(paul)
[ "p0", "p16", "hypothesis" ]
% SZS status Unsatisfiable for 8423642545766019427257013 % SZS output start Proof for 8423642545766019427257013 1. ! [X0] : ((tall(X0) | ~creative(X0)) => ~funny(X0)) [input p0] 17. ~wise(paul) & funny(paul) [input p16] 23. tall(paul) [input hypothesis] 25. ! [X0] : (~funny(X0) | (~tall(X0) & creative(X0))) [ennf trans...
0
Everyone who is both brave and not curious is not humble or not creative. If lucy is both creative and patient then someone is patient or not tall and vice versa. If someone is both not funny and creative then someone is brave. If someone is both not kind and not strong then fred is not generous and vice versa. If john...
Lucy is funny.
entailment
(![X]:((brave(X)&~curious(X))=>(~humble(X)|~creative(X))))& (((creative(lucy)&patient(lucy)))<=>(?[X]:((patient(X)|~tall(X)))))& ((?[X]:((~funny(X)&creative(X))))=>(?[X]:(brave(X))))& ((?[X]:((~kind(X)&~strong(X))))<=>(~generous(fred)))& (((wise(john)<~>creative(john)))=>((wise(john)<~>funny(john))))& (![X]:((~wise(X)|...
funny(lucy)
[ "p2", "p5", "p6", "p7", "p11", "hypothesis" ]
% SZS status Unsatisfiable for 324330306091693868657085 % SZS output start Proof for 324330306091693868657085 3. ? [X0] : (creative(X0) & ~funny(X0)) => ? [X0] : brave(X0) [input p2] 6. ! [X0] : ((~old(X0) | ~wise(X0)) <=> ~brave(X0)) [input p5] 7. ! [X0] : ((~kind(X0) <~> wise(X0)) <=> (old(X0) | ~calm(X0))) [input p6...
0
Everyone who is brave or creative is either wise or tall. If alice is both not brave and old then paul is not patient. Everyone who is tall is either not wise or not tall. If someone is quiet then someone is both rich and creative and vice versa. If fred is either creative or patient then john is both not old and happy...
Susan is not old.
contradiction
(![X]:((brave(X)|creative(X))=>(wise(X)<~>tall(X))))& (((~brave(alice)&old(alice)))=>(~patient(paul)))& (![X]:(tall(X)=>(~wise(X)<~>~tall(X))))& ((?[X]:(quiet(X)))<=>(?[X]:((rich(X)&creative(X)))))& (((creative(fred)<~>patient(fred)))=>((~old(john)&happy(john))))& (![X]:((~calm(X)&~rich(X))<=>(~curious(X)|~patient(X)))...
~old(susan)
[ "p3", "p5", "p6", "p10", "p12", "hypothesis" ]
% SZS status Unsatisfiable for 2685773700971767885395656 % SZS output start Proof for 2685773700971767885395656 4. ? [X0] : quiet(X0) <=> ? [X0] : (creative(X0) & rich(X0)) [input p3] 6. ! [X0] : ((~rich(X0) & ~calm(X0)) <=> (~patient(X0) | ~curious(X0))) [input p5] 7. ! [X0] : ((humble(X0) & wise(X0)) <=> (~creative(X...
0
Everyone who is both quiet and happy is either not wise or not creative and vice versa. Everyone who is quiet is either not patient or not happy and vice versa. Everyone who is quiet or not curious is not wise. Everyone who is either not wise or not kind is both funny and not kind. If someone is not curious then someon...
John is quiet.
neutral
(![X]:((quiet(X)&happy(X))<=>(~wise(X)<~>~creative(X))))& (![X]:(quiet(X)<=>(~patient(X)<~>~happy(X))))& (![X]:((quiet(X)|~curious(X))=>~wise(X)))& (![X]:((~wise(X)<~>~kind(X))=>(funny(X)&~kind(X))))& ((?[X]:(~curious(X)))<=>(?[X]:(~old(X))))& (![X]:((~humble(X)&quiet(X))<=>(happy(X)<~>~calm(X))))& (![X]:(~patient(X)=>...
quiet(john)
[]
null
0
If someone is curious then someone is calm. If someone is not patient or not old then someone is not curious and vice versa. Everyone who is happy is not old. Everyone who is not old is not funny or not curious and vice versa. Everyone who is either happy or not wise is tall and vice versa. If someone is not rich then ...
Alice is not generous.
contradiction
((?[X]:(curious(X)))=>(?[X]:(calm(X))))& ((?[X]:((~patient(X)|~old(X))))<=>(?[X]:(~curious(X))))& (![X]:(happy(X)=>~old(X)))& (![X]:(~old(X)<=>(~funny(X)|~curious(X))))& (![X]:((happy(X)<~>~wise(X))<=>tall(X)))& ((?[X]:(~rich(X)))=>(~funny(john)))& (![X]:(curious(X)<=>(rich(X)<~>funny(X))))& (((wise(mary)&funny(mary)))...
~generous(alice)
[ "p8", "hypothesis" ]
% SZS status Unsatisfiable for 573945358304029658128382 % SZS output start Proof for 573945358304029658128382 9. ! [X0] : ((generous(X0) & calm(X0)) <=> (~kind(X0) | ~generous(X0))) [input p8] 24. ~generous(alice) [input hypothesis] 48. ! [X0] : (((generous(X0) & calm(X0)) | (kind(X0) & generous(X0))) & ((~kind(X0) | ~...
0
If someone is wise then alice is either not patient or strong and vice versa. Everyone who is tall or not tall is not patient and vice versa. If someone is not strong or not generous then someone is either patient or humble and vice versa. Everyone who is either not rich or kind is funny and vice versa. If someone is e...
Lucy is rich.
entailment
((?[X]:(wise(X)))<=>((~patient(alice)<~>strong(alice))))& (![X]:((tall(X)|~tall(X))<=>~patient(X)))& ((?[X]:((~strong(X)|~generous(X))))<=>(?[X]:((patient(X)<~>humble(X)))))& (![X]:((~rich(X)<~>kind(X))<=>funny(X)))& ((?[X]:((~curious(X)<~>strong(X))))=>(?[X]:((quiet(X)|~funny(X)))))& ((?[X]:((~calm(X)|~curious(X))))<=...
rich(lucy)
[ "p6", "p8", "p10", "p11", "p12", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 2376277758448139484159281 % SZS output start Proof for 2376277758448139484159281 7. ! [X0] : ((old(X0) & generous(X0)) <=> ~quiet(X0)) [input p6] 9. ! [X0] : ((~rich(X0) <~> ~generous(X0)) => kind(X0)) [input p8] 11. ! [X0] : (~happy(X0) => (~rich(X0) <~> quiet(X0))) [input p10] 12. ! [X0...
0
If john is either calm or generous then someone is not wise and vice versa. If someone is either old or not strong then someone is tall and vice versa. Everyone who is humble or quiet is both not humble and not brave and vice versa. Everyone who is old is either not tall or not strong. If fred is not wise or old then s...
Paul is generous.
neutral
(((calm(john)<~>generous(john)))<=>(?[X]:(~wise(X))))& ((?[X]:((old(X)<~>~strong(X))))<=>(?[X]:(tall(X))))& (![X]:((humble(X)|quiet(X))<=>(~humble(X)&~brave(X))))& (![X]:(old(X)=>(~tall(X)<~>~strong(X))))& (((~wise(fred)|old(fred)))<=>(?[X]:(~brave(X))))& (![X]:((wise(X)|~funny(X))<=>(generous(X)|~calm(X))))& (((~rich(...
generous(paul)
[]
null
0
If someone is either creative or not rich then someone is both patient and not old and vice versa. Everyone who is old is either strong or not strong. If alice is happy or rich then someone is not kind. Everyone who is either creative or not humble is brave. If john is both not funny and brave then someone is brave and...
Mary is tall.
neutral
((?[X]:((creative(X)<~>~rich(X))))<=>(?[X]:((patient(X)&~old(X)))))& (![X]:(old(X)=>(strong(X)<~>~strong(X))))& (((happy(alice)|rich(alice)))=>(?[X]:(~kind(X))))& (![X]:((creative(X)<~>~humble(X))=>brave(X)))& (((~funny(john)&brave(john)))<=>(?[X]:(brave(X))))& (![X]:((curious(X)&~rich(X))<=>(brave(X)<~>quiet(X))))& (!...
tall(mary)
[]
null
0
Everyone who is either not calm or not happy is both quiet and not creative. If someone is both brave and not quiet then someone is rich and vice versa. Everyone who is not quiet is both rich and not humble. Everyone who is either not patient or humble is generous. Everyone who is not quiet or strong is either wise or ...
John is not strong.
contradiction
(![X]:((~calm(X)<~>~happy(X))=>(quiet(X)&~creative(X))))& ((?[X]:((brave(X)&~quiet(X))))<=>(?[X]:(rich(X))))& (![X]:(~quiet(X)=>(rich(X)&~humble(X))))& (![X]:((~patient(X)<~>humble(X))=>generous(X)))& (![X]:((~quiet(X)|strong(X))=>(wise(X)<~>~rich(X))))& (![X]:((happy(X)|old(X))<=>strong(X)))& ((?[X]:((~rich(X)|~creati...
~strong(john)
[ "p5", "p12", "hypothesis" ]
% SZS status Unsatisfiable for 112313501097109526480673 % SZS output start Proof for 112313501097109526480673 6. ! [X0] : ((old(X0) | happy(X0)) <=> strong(X0)) [input p5] 13. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> ~creative(X0)) [input p12] 24. ~strong(john) [input hypothesis] 47. ! [X0] : (((old(X0) | happy(X0)) ...
0
If someone is not happy or not old then someone is humble and vice versa. If someone is happy or humble then john is both not patient and not calm and vice versa. Everyone who is not wise or not humble is happy and vice versa. If alice is not humble then john is not humble. Everyone who is either creative or funny is e...
Susan is not brave.
contradiction
((?[X]:((~happy(X)|~old(X))))<=>(?[X]:(humble(X))))& ((?[X]:((happy(X)|humble(X))))<=>((~patient(john)&~calm(john))))& (![X]:((~wise(X)|~humble(X))<=>happy(X)))& ((~humble(alice))=>(~humble(john)))& (![X]:((creative(X)<~>funny(X))<=>(~happy(X)<~>~creative(X))))& (![X]:(creative(X)=>(creative(X)<~>~quiet(X))))& (![X]:(~...
~brave(susan)
[ "p2", "p4", "p6", "p11", "p15", "hypothesis" ]
% SZS status Unsatisfiable for 7931303831373340692524752 % SZS output start Proof for 7931303831373340692524752 3. ! [X0] : ((~humble(X0) | ~wise(X0)) <=> happy(X0)) [input p2] 5. ! [X0] : ((creative(X0) <~> funny(X0)) <=> (~happy(X0) <~> ~creative(X0))) [input p4] 7. ! [X0] : (~creative(X0) => ~funny(X0)) [input p6] 1...
0
Everyone who is either curious or creative is either not funny or not quiet. Everyone who is either not strong or not happy is both not calm and curious and vice versa. If someone is brave then john is not tall or wise. If susan is calm or strong then someone is either calm or not wise and vice versa. Everyone who is b...
Mary is kind.
entailment
(![X]:((curious(X)<~>creative(X))=>(~funny(X)<~>~quiet(X))))& (![X]:((~strong(X)<~>~happy(X))<=>(~calm(X)&curious(X))))& ((?[X]:(brave(X)))=>((~tall(john)|wise(john))))& (((calm(susan)|strong(susan)))<=>(?[X]:((calm(X)<~>~wise(X)))))& (![X]:((wise(X)&~calm(X))<=>(creative(X)|~creative(X))))& ((?[X]:((rich(X)&old(X))))=...
kind(mary)
[ "p4", "p7", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 6248979178136405299621098 % SZS output start Proof for 6248979178136405299621098 5. ! [X0] : ((~calm(X0) & wise(X0)) <=> (~creative(X0) | creative(X0))) [input p4] 8. (~calm(mary) <~> ~kind(mary)) <=> ? [X0] : (~quiet(X0) & ~calm(X0)) [input p7] 14. ? [X0] : (~wise(X0) & patient(X0)) <=> ...
0
Everyone who is tall is both not funny and generous. Everyone who is either happy or funny is either not funny or not tall and vice versa. If susan is not rich or not happy then someone is patient or funny. Everyone who is both not patient and curious is not funny and vice versa. If someone is not happy then someone is...
Alice is not tall.
entailment
(![X]:(tall(X)=>(~funny(X)&generous(X))))& (![X]:((happy(X)<~>funny(X))<=>(~funny(X)<~>~tall(X))))& (((~rich(susan)|~happy(susan)))=>(?[X]:((patient(X)|funny(X)))))& (![X]:((~patient(X)&curious(X))<=>~funny(X)))& ((?[X]:(~happy(X)))<=>(?[X]:((~rich(X)<~>~curious(X)))))& (![X]:((~funny(X)|~generous(X))<=>(patient(X)|cre...
~tall(alice)
[ "p0", "p1", "p3", "p5", "p7", "hypothesis" ]
% SZS status Unsatisfiable for 2558149905735685434770372 % SZS output start Proof for 2558149905735685434770372 1. ! [X0] : (tall(X0) => (generous(X0) & ~funny(X0))) [input p0] 2. ! [X0] : ((happy(X0) <~> funny(X0)) <=> (~funny(X0) <~> ~tall(X0))) [input p1] 4. ! [X0] : ((curious(X0) & ~patient(X0)) <=> ~funny(X0)) [in...
0
If paul is not rich then john is both kind and calm. Everyone who is patient or kind is not creative and vice versa. Everyone who is not generous is either humble or wise and vice versa. If someone is not curious then john is both not kind and kind. Everyone who is either not quiet or not calm is not strong or not calm...
Lucy is not kind.
entailment
((~rich(paul))=>((kind(john)&calm(john))))& (![X]:((patient(X)|kind(X))<=>~creative(X)))& (![X]:(~generous(X)<=>(humble(X)<~>wise(X))))& ((?[X]:(~curious(X)))=>((~kind(john)&kind(john))))& (![X]:((~quiet(X)<~>~calm(X))<=>(~strong(X)|~calm(X))))& (![X]:(creative(X)<=>(~quiet(X)|kind(X))))& ((?[X]:(kind(X)))=>(?[X]:(tall...
~kind(lucy)
[ "p1", "p5", "hypothesis" ]
% SZS status Unsatisfiable for 3549606691820330101523481 % SZS output start Proof for 3549606691820330101523481 2. ! [X0] : ((kind(X0) | patient(X0)) <=> ~creative(X0)) [input p1] 6. ! [X0] : (creative(X0) <=> (kind(X0) | ~quiet(X0))) [input p5] 22. kind(lucy) [input hypothesis] 35. ! [X0] : (((kind(X0) | patient(X0)) ...
0
If someone is either not curious or not old then lucy is kind and vice versa. Everyone who is both tall and patient is either curious or not happy. If someone is strong or happy then alice is both curious and tall and vice versa. Everyone who is not funny or creative is either wise or happy. If someone is either not br...
Alice is not wise.
neutral
((?[X]:((~curious(X)<~>~old(X))))<=>(kind(lucy)))& (![X]:((tall(X)&patient(X))=>(curious(X)<~>~happy(X))))& ((?[X]:((strong(X)|happy(X))))<=>((curious(alice)&tall(alice))))& (![X]:((~funny(X)|creative(X))=>(wise(X)<~>happy(X))))& ((?[X]:((~brave(X)<~>~funny(X))))=>(?[X]:((generous(X)<~>~tall(X)))))& ((?[X]:((~calm(X)|~...
~wise(alice)
[]
null
0
If john is either not kind or creative then someone is either not kind or not rich. Everyone who is old or quiet is both not old and curious and vice versa. If john is not quiet then someone is not generous or not brave and vice versa. If someone is not quiet then someone is either not quiet or wise and vice versa. If ...
Susan is not happy.
entailment
(((~kind(john)<~>creative(john)))=>(?[X]:((~kind(X)<~>~rich(X)))))& (![X]:((old(X)|quiet(X))<=>(~old(X)&curious(X))))& ((~quiet(john))<=>(?[X]:((~generous(X)|~brave(X)))))& ((?[X]:(~quiet(X)))<=>(?[X]:((~quiet(X)<~>wise(X)))))& (((humble(susan)&~happy(susan)))=>((quiet(mary)|~brave(mary))))& (((strong(fred)<~>tall(fred...
~happy(susan)
[ "p1", "p6", "p8", "p12", "hypothesis" ]
% SZS status Unsatisfiable for 4157193156470899313254679 % SZS output start Proof for 4157193156470899313254679 2. ! [X0] : ((quiet(X0) | old(X0)) <=> (curious(X0) & ~old(X0))) [input p1] 7. ! [X0] : ((happy(X0) <~> ~creative(X0)) => quiet(X0)) [input p6] 9. ! [X0] : ((happy(X0) <~> curious(X0)) <=> (happy(X0) | genero...
0
Everyone who is quiet or not strong is patient or creative and vice versa. If someone is both not kind and not old then susan is curious or not generous. Everyone who is not calm is generous. If paul is tall or not humble then someone is generous and vice versa. If someone is both calm and happy then john is either fun...
John is rich.
entailment
(![X]:((quiet(X)|~strong(X))<=>(patient(X)|creative(X))))& ((?[X]:((~kind(X)&~old(X))))=>((curious(susan)|~generous(susan))))& (![X]:(~calm(X)=>generous(X)))& (((tall(paul)|~humble(paul)))<=>(?[X]:(generous(X))))& ((?[X]:((calm(X)&happy(X))))<=>((funny(john)<~>curious(john))))& (![X]:((old(X)<~>~generous(X))=>~calm(X))...
rich(john)
[ "p16", "hypothesis" ]
% SZS status Unsatisfiable for 1271914560320683576929270 % SZS output start Proof for 1271914560320683576929270 17. rich(john) [input p16] 25. ~rich(john) [input hypothesis] 133. rich(john) [cnf transformation 17] 145. ~rich(john) [cnf transformation 25] 295. $false [subsumption resolution 145,133] % SZS output end Pro...
0
Everyone who is rich or generous is not humble. If someone is calm then susan is both not calm and calm and vice versa. Everyone who is not calm is either happy or tall. Everyone who is either quiet or not brave is either not patient or not quiet and vice versa. Everyone who is not old is rich and vice versa. Everyone ...
Susan is calm.
contradiction
(![X]:((rich(X)|generous(X))=>~humble(X)))& ((?[X]:(calm(X)))<=>((~calm(susan)&calm(susan))))& (![X]:(~calm(X)=>(happy(X)<~>tall(X))))& (![X]:((quiet(X)<~>~brave(X))<=>(~patient(X)<~>~quiet(X))))& (![X]:(~old(X)<=>rich(X)))& (![X]:((~strong(X)&generous(X))=>old(X)))& (((rich(lucy)|~creative(lucy)))=>((creative(susan)|~...
calm(susan)
[ "p1", "hypothesis" ]
% SZS status Unsatisfiable for 2639913942450933379964993 % SZS output start Proof for 2639913942450933379964993 2. ? [X0] : calm(X0) <=> (calm(susan) & ~calm(susan)) [input p1] 18. calm(susan) [input hypothesis] 28. (? [X0] : calm(X0) | (~calm(susan) | calm(susan))) & ((calm(susan) & ~calm(susan)) | ! [X0] : ~calm(X0))...
0
Everyone who is tall is either quiet or kind. Everyone who is not happy or funny is both happy and not brave. Everyone who is not curious or not humble is either not wise or humble and vice versa. If someone is not patient then someone is funny or not generous. If susan is not funny or not tall then john is not creativ...
Alice is happy.
entailment
(![X]:(tall(X)=>(quiet(X)<~>kind(X))))& (![X]:((~happy(X)|funny(X))=>(happy(X)&~brave(X))))& (![X]:((~curious(X)|~humble(X))<=>(~wise(X)<~>humble(X))))& ((?[X]:(~patient(X)))=>(?[X]:((funny(X)|~generous(X)))))& (((~funny(susan)|~tall(susan)))<=>((~creative(john)|wise(john))))& (![X]:((~creative(X)|generous(X))<=>(~crea...
happy(alice)
[ "p1", "hypothesis" ]
% SZS status Unsatisfiable for 5639783679074437502877103 % SZS output start Proof for 5639783679074437502877103 2. ! [X0] : ((funny(X0) | ~happy(X0)) => (~brave(X0) & happy(X0))) [input p1] 25. ~happy(alice) [input hypothesis] 29. ! [X0] : ((~brave(X0) & happy(X0)) | (~funny(X0) & happy(X0))) [ennf transformation 2] 84...
0
Everyone who is not happy or not tall is both strong and happy and vice versa. If susan is either happy or not wise then paul is either old or not wise. If john is not funny or not old then someone is calm or not curious and vice versa. If fred is calm then alice is rich and vice versa. Everyone who is tall or old is e...
Fred is not humble.
entailment
(![X]:((~happy(X)|~tall(X))<=>(strong(X)&happy(X))))& (((happy(susan)<~>~wise(susan)))=>((old(paul)<~>~wise(paul))))& (((~funny(john)|~old(john)))<=>(?[X]:((calm(X)|~curious(X)))))& ((calm(fred))<=>(rich(alice)))& (![X]:((tall(X)|old(X))<=>(~tall(X)<~>~brave(X))))& (![X]:(~tall(X)<=>(~kind(X)|creative(X))))& (![X]:((~t...
~humble(fred)
[ "p0", "p5", "p6", "p7", "p11", "hypothesis" ]
% SZS status Unsatisfiable for 8825960169583227684190644 % SZS output start Proof for 8825960169583227684190644 1. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> (happy(X0) & strong(X0))) [input p0] 6. ! [X0] : (~tall(X0) <=> (creative(X0) | ~kind(X0))) [input p5] 7. ! [X0] : ((~quiet(X0) | ~tall(X0)) => ~humble(X0)) [input p6...
0
If susan is tall then lucy is not rich or quiet and vice versa. If mary is strong then john is not funny or not calm and vice versa. If paul is generous or not curious then someone is both calm and wise. If alice is either tall or not happy then mary is either happy or not funny. Everyone who is both not happy and tall...
Lucy is quiet.
neutral
((tall(susan))<=>((~rich(lucy)|quiet(lucy))))& ((strong(mary))<=>((~funny(john)|~calm(john))))& (((generous(paul)|~curious(paul)))=>(?[X]:((calm(X)&wise(X)))))& (((tall(alice)<~>~happy(alice)))=>((happy(mary)<~>~funny(mary))))& (![X]:((~happy(X)&tall(X))<=>(wise(X)&rich(X))))& (![X]:((old(X)&~calm(X))<=>~brave(X)))& (!...
quiet(lucy)
[]
null
0
If someone is not humble then paul is creative or happy and vice versa. If someone is both not strong and not funny then john is either curious or not happy and vice versa. Everyone who is creative or quiet is either humble or not calm. Everyone who is both not curious and not funny is both not generous and not patient...
Lucy is calm.
neutral
((?[X]:(~humble(X)))<=>((creative(paul)|happy(paul))))& ((?[X]:((~strong(X)&~funny(X))))<=>((curious(john)<~>~happy(john))))& (![X]:((creative(X)|quiet(X))=>(humble(X)<~>~calm(X))))& (![X]:((~curious(X)&~funny(X))=>(~generous(X)&~patient(X))))& (![X]:((wise(X)|patient(X))=>(~kind(X)<~>humble(X))))& ((?[X]:((wise(X)&~wi...
calm(lucy)
[]
null
0
Everyone who is not brave is old. If someone is either not funny or not curious then fred is either not kind or happy and vice versa. If susan is both patient and creative then someone is tall or not generous and vice versa. If fred is not creative or not happy then someone is either not quiet or not rich. If mary is p...
Fred is not humble.
contradiction
(![X]:(~brave(X)=>old(X)))& ((?[X]:((~funny(X)<~>~curious(X))))<=>((~kind(fred)<~>happy(fred))))& (((patient(susan)&creative(susan)))<=>(?[X]:((tall(X)|~generous(X)))))& (((~creative(fred)|~happy(fred)))=>(?[X]:((~quiet(X)<~>~rich(X)))))& (((patient(mary)|~kind(mary)))=>((~rich(susan)<~>~quiet(susan))))& (![X]:((~tall(...
~humble(fred)
[ "p6", "p13", "p16", "hypothesis" ]
% SZS status Unsatisfiable for 4902152595245948244980615 % SZS output start Proof for 4902152595245948244980615 7. ? [X0] : strong(X0) => (humble(fred) & old(fred)) [input p6] 14. ? [X0] : (~strong(X0) & generous(X0)) <=> (quiet(john) & strong(john)) [input p13] 17. ? [X0] : generous(X0) [input p16] 25. ~humble(fred) [...
0
If john is not wise or curious then someone is either humble or not old and vice versa. If someone is creative or not curious then mary is not generous and vice versa. If someone is both generous and not humble then someone is not happy. Everyone who is not creative is not calm or not tall. Everyone who is either wise ...
Fred is strong.
neutral
(((~wise(john)|curious(john)))<=>(?[X]:((humble(X)<~>~old(X)))))& ((?[X]:((creative(X)|~curious(X))))<=>(~generous(mary)))& ((?[X]:((generous(X)&~humble(X))))=>(?[X]:(~happy(X))))& (![X]:(~creative(X)=>(~calm(X)|~tall(X))))& (![X]:((wise(X)<~>generous(X))<=>(~wise(X)|~calm(X))))& (![X]:((~wise(X)|creative(X))=>(~happy(...
strong(fred)
[]
null
0
If someone is not brave or funny then lucy is both not generous and not quiet and vice versa. If someone is humble then someone is happy or not wise and vice versa. If someone is either wise or not humble then someone is creative and vice versa. Everyone who is either not rich or rich is both strong and not old and vic...
John is not humble.
neutral
((?[X]:((~brave(X)|funny(X))))<=>((~generous(lucy)&~quiet(lucy))))& ((?[X]:(humble(X)))<=>(?[X]:((happy(X)|~wise(X)))))& ((?[X]:((wise(X)<~>~humble(X))))<=>(?[X]:(creative(X))))& (![X]:((~rich(X)<~>rich(X))<=>(strong(X)&~old(X))))& (![X]:((creative(X)&calm(X))<=>~rich(X)))& ((?[X]:(~wise(X)))<=>((~wise(susan)&happy(sus...
~humble(john)
[]
null
0
If fred is not generous then someone is not patient or old and vice versa. If paul is creative or not quiet then someone is wise or calm and vice versa. If someone is both not brave and not patient then john is both generous and not generous. Everyone who is not funny is generous or not funny. Everyone who is not patie...
Paul is not rich.
entailment
((~generous(fred))<=>(?[X]:((~patient(X)|old(X)))))& (((creative(paul)|~quiet(paul)))<=>(?[X]:((wise(X)|calm(X)))))& ((?[X]:((~brave(X)&~patient(X))))=>((generous(john)&~generous(john))))& (![X]:(~funny(X)=>(generous(X)|~funny(X))))& (![X]:((~patient(X)|kind(X))<=>(~strong(X)&~humble(X))))& (![X]:(strong(X)=>(funny(X)|...
~rich(paul)
[ "p10", "hypothesis" ]
% SZS status Unsatisfiable for 4177537122949078741281015 % SZS output start Proof for 4177537122949078741281015 11. ? [X0] : (~happy(X0) <~> happy(X0)) => (funny(paul) & ~rich(paul)) [input p10] 25. rich(paul) [input hypothesis] 34. (funny(paul) & ~rich(paul)) | ! [X0] : (~happy(X0) <=> happy(X0)) [ennf transformation ...
0
If lucy is both not quiet and wise then lucy is strong. If someone is either rich or curious then paul is brave or happy and vice versa. If lucy is both calm and not strong then john is either not old or not funny. Everyone who is curious or not patient is calm or not old. Everyone who is rich is brave or funny. If mar...
John is happy.
entailment
(((~quiet(lucy)&wise(lucy)))=>(strong(lucy)))& ((?[X]:((rich(X)<~>curious(X))))<=>((brave(paul)|happy(paul))))& (((calm(lucy)&~strong(lucy)))=>((~old(john)<~>~funny(john))))& (![X]:((curious(X)|~patient(X))=>(calm(X)|~old(X))))& (![X]:(rich(X)=>(brave(X)|funny(X))))& (((~tall(mary)&old(mary)))<=>(~brave(fred)))& (![X]:...
happy(john)
[ "p8", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 4122876012160544475942624 % SZS output start Proof for 4122876012160544475942624 9. ! [X0] : ((~happy(X0) | kind(X0)) <=> rich(X0)) [input p8] 15. ! [X0] : ((~happy(X0) | ~kind(X0)) => ~rich(X0)) [input p14] 24. ~happy(john) [input hypothesis] 36. ! [X0] : (~rich(X0) | (happy(X0) & kind(X...
0
Everyone who is old is either rich or funny and vice versa. If paul is funny then someone is rich or not rich and vice versa. Everyone who is either strong or not strong is both not old and generous and vice versa. Everyone who is either not funny or not calm is either not tall or generous and vice versa. Everyone who ...
Fred is not rich.
contradiction
(![X]:(old(X)<=>(rich(X)<~>funny(X))))& ((funny(paul))<=>(?[X]:((rich(X)|~rich(X)))))& (![X]:((strong(X)<~>~strong(X))<=>(~old(X)&generous(X))))& (![X]:((~funny(X)<~>~calm(X))<=>(~tall(X)<~>generous(X))))& (![X]:(~strong(X)=>(~old(X)|strong(X))))& (![X]:((~wise(X)<~>old(X))=>(strong(X)|~calm(X))))& (![X]:(~wise(X)=>(~f...
~rich(fred)
[ "p0", "p2", "p3", "p9", "p11", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 2168913515726179954512121 % SZS output start Proof for 2168913515726179954512121 1. ! [X0] : (old(X0) <=> (rich(X0) <~> funny(X0))) [input p0] 3. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (generous(X0) & ~old(X0))) [input p2] 4. ! [X0] : ((~funny(X0) <~> ~calm(X0)) <=> (~tall(X0) <~> gen...
0
Everyone who is not humble or not kind is not humble. Everyone who is creative or not old is both not patient and strong. If someone is not happy or humble then lucy is not happy or not old. Everyone who is not generous is either humble or happy. If susan is tall then lucy is funny or brave and vice versa. Everyone who...
Mary is not old.
contradiction
(![X]:((~humble(X)|~kind(X))=>~humble(X)))& (![X]:((creative(X)|~old(X))=>(~patient(X)&strong(X))))& ((?[X]:((~happy(X)|humble(X))))=>((~happy(lucy)|~old(lucy))))& (![X]:(~generous(X)=>(humble(X)<~>happy(X))))& ((tall(susan))<=>((funny(lucy)|brave(lucy))))& (![X]:((tall(X)&generous(X))<=>(brave(X)<~>~curious(X))))& (![...
~old(mary)
[ "p0", "p1", "p6", "p8", "p11", "p17", "hypothesis" ]
% SZS status Unsatisfiable for 8143256121993406831927980 % SZS output start Proof for 8143256121993406831927980 1. ! [X0] : ((~kind(X0) | ~humble(X0)) => ~humble(X0)) [input p0] 2. ! [X0] : ((~old(X0) | creative(X0)) => (strong(X0) & ~patient(X0))) [input p1] 7. ! [X0] : ((humble(X0) <~> ~kind(X0)) => creative(X0)) [in...
0
Everyone who is patient or happy is not funny. Everyone who is not patient or not quiet is both wise and calm and vice versa. Everyone who is funny or not tall is both not calm and tall. Everyone who is strong is rich or old and vice versa. Everyone who is either funny or not wise is both not calm and old and vice vers...
Lucy is patient.
neutral
(![X]:((patient(X)|happy(X))=>~funny(X)))& (![X]:((~patient(X)|~quiet(X))<=>(wise(X)&calm(X))))& (![X]:((funny(X)|~tall(X))=>(~calm(X)&tall(X))))& (![X]:(strong(X)<=>(rich(X)|old(X))))& (![X]:((funny(X)<~>~wise(X))<=>(~calm(X)&old(X))))& (![X]:((~brave(X)|~generous(X))=>(calm(X)&wise(X))))& (![X]:((humble(X)&curious(X)...
patient(lucy)
[]
null
0
If someone is not strong or not humble then someone is not rich or not tall. Everyone who is both humble and tall is not humble or rich. If someone is either not wise or not generous then someone is either quiet or not brave. If someone is either not brave or old then susan is quiet or rich. Everyone who is not wise is...
Susan is not wise.
neutral
((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))& (![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))& ((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((quiet(X)<~>~brave(X)))))& ((?[X]:((~brave(X)<~>old(X))))=>((quiet(susan)|rich(susan))))& (![X]:(~wise(X)=>(~strong(X)<~>~humble(X))))& (![X]:(~creative(X)=>(...
~wise(susan)
[]
null
0
Everyone who is both happy and not quiet is either quiet or not creative and vice versa. If someone is either generous or not old then mary is not humble or curious. Everyone who is rich or not quiet is kind or creative. Everyone who is not curious or creative is wise. If someone is both strong and not happy then someo...
Mary is kind.
contradiction
(![X]:((happy(X)&~quiet(X))<=>(quiet(X)<~>~creative(X))))& ((?[X]:((generous(X)<~>~old(X))))=>((~humble(mary)|curious(mary))))& (![X]:((rich(X)|~quiet(X))=>(kind(X)|creative(X))))& (![X]:((~curious(X)|creative(X))=>wise(X)))& ((?[X]:((strong(X)&~happy(X))))<=>(?[X]:((quiet(X)<~>~humble(X)))))& (((~curious(mary)<~>~wise...
kind(mary)
[ "p3", "p9", "p14", "p20", "hypothesis" ]
% SZS status Unsatisfiable for 8403224819268481133402262 % SZS output start Proof for 8403224819268481133402262 4. ! [X0] : ((creative(X0) | ~curious(X0)) => wise(X0)) [input p3] 10. ! [X0] : ((funny(X0) | kind(X0)) <=> ~wise(X0)) [input p9] 15. ! [X0] : ((curious(X0) <~> funny(X0)) => (humble(X0) & ~calm(X0))) [input ...
0