premise
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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 creative or not wise is both curious and quiet and vice versa. Everyone who is both not brave and not generous is not rich or wise. Everyone who is both patient and brave is not creative or not quiet. If someone is either not wise or humble then alice is not creative and vice versa. If someone is cu...
Fred is brave.
entailment
(![X]:((~creative(X)|~wise(X))<=>(curious(X)&quiet(X))))& (![X]:((~brave(X)&~generous(X))=>(~rich(X)|wise(X))))& (![X]:((patient(X)&brave(X))=>(~creative(X)|~quiet(X))))& ((?[X]:((~wise(X)<~>humble(X))))<=>(~creative(alice)))& ((?[X]:(curious(X)))=>((creative(mary)&~tall(mary))))& (![X]:(quiet(X)=>(happy(X)&curious(X))...
brave(fred)
[ "p5", "p11", "p12", "p15", "p20", "p22", "hypothesis" ]
% SZS status Unsatisfiable for 603753490574051918714112 % SZS output start Proof for 603753490574051918714112 6. ! [X0] : (quiet(X0) => (curious(X0) & happy(X0))) [input p5] 12. ! [X0] : ((tall(X0) & quiet(X0)) <=> (~brave(X0) | ~humble(X0))) [input p11] 13. ! [X0] : ((~creative(X0) | kind(X0)) <=> (~rich(X0) | ~curiou...
0
If someone is funny then lucy is kind or not patient. If john is not curious then someone is both not happy and old. Everyone who is both curious and tall is patient and vice versa. Everyone who is either humble or patient is happy. If someone is not creative or not quiet then someone is old. If fred is not strong or n...
Fred is quiet.
entailment
((?[X]:(funny(X)))=>((kind(lucy)|~patient(lucy))))& ((~curious(john))=>(?[X]:((~happy(X)&old(X)))))& (![X]:((curious(X)&tall(X))<=>patient(X)))& (![X]:((humble(X)<~>patient(X))=>happy(X)))& ((?[X]:((~creative(X)|~quiet(X))))=>(?[X]:(old(X))))& (((~strong(fred)|~patient(fred)))=>(?[X]:((~kind(X)<~>~generous(X)))))& (![X...
quiet(fred)
[ "p2", "p6", "p10", "p11", "p13", "p14", "p19", "hypothesis" ]
% SZS status Unsatisfiable for 6519913479190232472888244 % SZS output start Proof for 6519913479190232472888244 3. ! [X0] : ((tall(X0) & curious(X0)) <=> patient(X0)) [input p2] 7. ! [X0] : (funny(X0) <=> (~wise(X0) <~> curious(X0))) [input p6] 11. ! [X0] : (~strong(X0) <=> (~kind(X0) & happy(X0))) [input p10] 12. (qui...
0
If someone is not old or not tall then someone is both kind and not calm and vice versa. Everyone who is either not brave or strong is not strong or wise and vice versa. Everyone who is both strong and not calm is both not funny and quiet. Everyone who is not tall or not brave is both not humble and not tall. If john i...
Mary is quiet.
neutral
((?[X]:((~old(X)|~tall(X))))<=>(?[X]:((kind(X)&~calm(X)))))& (![X]:((~brave(X)<~>strong(X))<=>(~strong(X)|wise(X))))& (![X]:((strong(X)&~calm(X))=>(~funny(X)&quiet(X))))& (![X]:((~tall(X)|~brave(X))=>(~humble(X)&~tall(X))))& (((~wise(john)<~>~patient(john)))<=>(?[X]:(~creative(X))))& ((?[X]:((tall(X)|~funny(X))))=>(?[X...
quiet(mary)
[]
null
0
Everyone who is both wise and not generous is both not wise and brave and vice versa. Everyone who is both tall and quiet is both patient and calm and vice versa. If lucy is not creative or not old then someone is both curious and not calm and vice versa. Everyone who is both tall and not patient is tall and vice versa...
Lucy is not happy.
neutral
(![X]:((wise(X)&~generous(X))<=>(~wise(X)&brave(X))))& (![X]:((tall(X)&quiet(X))<=>(patient(X)&calm(X))))& (((~creative(lucy)|~old(lucy)))<=>(?[X]:((curious(X)&~calm(X)))))& (![X]:((tall(X)&~patient(X))<=>tall(X)))& (![X]:((~patient(X)|generous(X))=>(old(X)&~generous(X))))& ((?[X]:((happy(X)&quiet(X))))=>(?[X]:(~calm(X...
~happy(lucy)
[]
null
0
If john is both not kind and tall then fred is calm or not wise. If someone is either not calm or not funny then someone is both calm and not humble and vice versa. Everyone who is not wise is strong or happy. Everyone who is not tall or not creative is both not rich and strong and vice versa. Everyone who is either no...
Fred is strong.
neutral
(((~kind(john)&tall(john)))=>((calm(fred)|~wise(fred))))& ((?[X]:((~calm(X)<~>~funny(X))))<=>(?[X]:((calm(X)&~humble(X)))))& (![X]:(~wise(X)=>(strong(X)|happy(X))))& (![X]:((~tall(X)|~creative(X))<=>(~rich(X)&strong(X))))& (![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))& (((~quiet(john)<~>~happy(john)))=>((~s...
strong(fred)
[]
null
0
If alice is curious or not tall then lucy is both kind and wise and vice versa. Everyone who is either not tall or wise is not curious and vice versa. Everyone who is brave is either humble or not rich and vice versa. If someone is both not rich and not humble then someone is generous and vice versa. If someone is both...
Lucy is not strong.
contradiction
(((curious(alice)|~tall(alice)))<=>((kind(lucy)&wise(lucy))))& (![X]:((~tall(X)<~>wise(X))<=>~curious(X)))& (![X]:(brave(X)<=>(humble(X)<~>~rich(X))))& ((?[X]:((~rich(X)&~humble(X))))<=>(?[X]:(generous(X))))& ((?[X]:((~wise(X)&~creative(X))))=>(?[X]:((brave(X)<~>creative(X)))))& (((brave(alice)<~>~generous(alice)))<=>(...
~strong(lucy)
[ "p8", "p17", "hypothesis" ]
% SZS status Unsatisfiable for 2878311853764082342820793 % SZS output start Proof for 2878311853764082342820793 9. ! [X0] : (strong(X0) <=> brave(X0)) [input p8] 18. brave(lucy) [input p17] 24. ~strong(lucy) [input hypothesis] 53. ! [X0] : ((strong(X0) | ~brave(X0)) & (brave(X0) | ~strong(X0))) [nnf transformation 9] 1...
0
If fred is both rich and not wise then someone is rich or creative and vice versa. Everyone who is rich is either strong or not curious. Everyone who is not curious or funny is either not generous or tall and vice versa. If paul is not kind then lucy is rich or not tall. If someone is quiet then lucy is kind or not bra...
Lucy is curious.
entailment
(((rich(fred)&~wise(fred)))<=>(?[X]:((rich(X)|creative(X)))))& (![X]:(rich(X)=>(strong(X)<~>~curious(X))))& (![X]:((~curious(X)|funny(X))<=>(~generous(X)<~>tall(X))))& ((~kind(paul))=>((rich(lucy)|~tall(lucy))))& ((?[X]:(quiet(X)))=>((kind(lucy)|~brave(lucy))))& (![X]:((generous(X)&kind(X))=>rich(X)))& ((?[X]:((~wise(X...
curious(lucy)
[ "p8", "p9", "p20", "p21", "hypothesis" ]
% SZS status Unsatisfiable for 2123743876088384197711924 % SZS output start Proof for 2123743876088384197711924 9. ? [X0] : (~humble(X0) | rich(X0)) => happy(lucy) [input p8] 10. ! [X0] : (curious(X0) <=> (~brave(X0) | ~kind(X0))) [input p9] 21. ~humble(susan) <~> rich(susan) [input p20] 22. happy(lucy) <~> brave(lucy)...
0
Everyone who is both not happy and creative is old and vice versa. Everyone who is humble is both funny and not patient and vice versa. If someone is both funny and brave then alice is strong or not tall and vice versa. Everyone who is not quiet is either humble or not humble. Everyone who is brave is both patient and ...
John is not brave.
entailment
(![X]:((~happy(X)&creative(X))<=>old(X)))& (![X]:(humble(X)<=>(funny(X)&~patient(X))))& ((?[X]:((funny(X)&brave(X))))<=>((strong(alice)|~tall(alice))))& (![X]:(~quiet(X)=>(humble(X)<~>~humble(X))))& (![X]:(brave(X)=>(patient(X)&~old(X))))& (![X]:(kind(X)=>tall(X)))& ((?[X]:((wise(X)|calm(X))))=>(?[X]:((generous(X)|stro...
~brave(john)
[ "p4", "p7", "p8", "p11", "p12", "p15", "hypothesis" ]
% SZS status Unsatisfiable for 2124754986380261604423784 % SZS output start Proof for 2124754986380261604423784 5. ! [X0] : (brave(X0) => (~old(X0) & patient(X0))) [input p4] 8. ! [X0] : ((old(X0) | generous(X0)) <=> (~calm(X0) | patient(X0))) [input p7] 9. ! [X0] : ((~old(X0) | happy(X0)) => (~brave(X0) <~> ~calm(X0))...
0
If someone is not happy or quiet then lucy is either wise or not tall and vice versa. If someone is not happy or curious then lucy is tall or quiet and vice versa. Everyone who is not wise or wise is both rich and not wise. Everyone who is both not kind and not old is either calm or not wise. If someone is not tall or ...
Alice is not rich.
contradiction
((?[X]:((~happy(X)|quiet(X))))<=>((wise(lucy)<~>~tall(lucy))))& ((?[X]:((~happy(X)|curious(X))))<=>((tall(lucy)|quiet(lucy))))& (![X]:((~wise(X)|wise(X))=>(rich(X)&~wise(X))))& (![X]:((~kind(X)&~old(X))=>(calm(X)<~>~wise(X))))& ((?[X]:((~tall(X)|funny(X))))=>((brave(paul)<~>patient(paul))))& (![X]:((happy(X)&creative(X...
~rich(alice)
[ "p2", "hypothesis" ]
% SZS status Unsatisfiable for 7303398662380113214169085 % SZS output start Proof for 7303398662380113214169085 3. ! [X0] : ((wise(X0) | ~wise(X0)) => (~wise(X0) & rich(X0))) [input p2] 22. ~rich(alice) [input hypothesis] 27. ! [X0] : ((~wise(X0) & rich(X0)) | (~wise(X0) & wise(X0))) [ennf transformation 3] 78. rich(X0...
0
Everyone who is not funny is not tall. Everyone who is not calm is either not creative or tall. Everyone who is both not brave and not curious is both calm and not kind. Everyone who is not strong or kind is patient or calm. If alice is either wise or generous then someone is both humble and not generous and vice versa...
John is not brave.
contradiction
(![X]:(~funny(X)=>~tall(X)))& (![X]:(~calm(X)=>(~creative(X)<~>tall(X))))& (![X]:((~brave(X)&~curious(X))=>(calm(X)&~kind(X))))& (![X]:((~strong(X)|kind(X))=>(patient(X)|calm(X))))& (((wise(alice)<~>generous(alice)))<=>(?[X]:((humble(X)&~generous(X)))))& ((?[X]:(brave(X)))=>((~rich(alice)<~>calm(alice))))& (((strong(jo...
~brave(john)
[ "p9", "p11", "p19", "hypothesis" ]
% SZS status Unsatisfiable for 6085331842579952270851116 % SZS output start Proof for 6085331842579952270851116 10. ? [X0] : ~generous(X0) => brave(john) [input p9] 12. ? [X0] : (old(X0) <~> ~calm(X0)) => ? [X0] : (funny(X0) & ~generous(X0)) [input p11] 20. ? [X0] : (~calm(X0) & ~old(X0)) [input p19] 25. ~brave(john) [...
0
Everyone who is both curious and not old is patient or funny. Everyone who is not humble is generous or wise. If john is both brave and not tall then someone is patient or generous and vice versa. Everyone who is both not wise and not funny is brave or not rich and vice versa. If alice is either not curious or not rich...
Alice is not strong.
contradiction
(![X]:((curious(X)&~old(X))=>(patient(X)|funny(X))))& (![X]:(~humble(X)=>(generous(X)|wise(X))))& (((brave(john)&~tall(john)))<=>(?[X]:((patient(X)|generous(X)))))& (![X]:((~wise(X)&~funny(X))<=>(brave(X)|~rich(X))))& (((~curious(alice)<~>~rich(alice)))=>(funny(john)))& (![X]:((creative(X)<~>wise(X))<=>(~curious(X)&~fu...
~strong(alice)
[ "p3", "p4", "p7", "p19", "hypothesis" ]
% SZS status Unsatisfiable for 5589319220677999487529221 % SZS output start Proof for 5589319220677999487529221 4. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (~rich(X0) | brave(X0))) [input p3] 5. (~curious(alice) <~> ~rich(alice)) => funny(john) [input p4] 8. ! [X0] : (~curious(X0) <=> (rich(X0) & ~strong(X0))) [input p7]...
0
Everyone who is either not wise or tall is both not brave and old. If mary is generous then alice is curious. Everyone who is both not wise and curious is wise or patient and vice versa. Everyone who is not funny is not curious and vice versa. If lucy is quiet then someone is curious. Everyone who is both generous and ...
Paul is patient.
neutral
(![X]:((~wise(X)<~>tall(X))=>(~brave(X)&old(X))))& ((generous(mary))=>(curious(alice)))& (![X]:((~wise(X)&curious(X))<=>(wise(X)|patient(X))))& (![X]:(~funny(X)<=>~curious(X)))& ((quiet(lucy))=>(?[X]:(curious(X))))& (![X]:((generous(X)&~kind(X))<=>wise(X)))& (![X]:((~humble(X)|~tall(X))=>kind(X)))& ((~quiet(paul))<=>(c...
patient(paul)
[]
null
0
Everyone who is either not curious or happy is both not rich and generous and vice versa. If mary is both quiet and not brave then someone is not creative. If someone is both generous and curious then someone is not tall. If someone is brave then someone is not tall. If mary is calm then mary is rich. Everyone who is e...
John is not generous.
contradiction
(![X]:((~curious(X)<~>happy(X))<=>(~rich(X)&generous(X))))& (((quiet(mary)&~brave(mary)))=>(?[X]:(~creative(X))))& ((?[X]:((generous(X)&curious(X))))=>(?[X]:(~tall(X))))& ((?[X]:(brave(X)))=>(?[X]:(~tall(X))))& ((calm(mary))=>(rich(mary)))& (![X]:((generous(X)<~>humble(X))=>(quiet(X)<~>~funny(X))))& (![X]:((patient(X)<...
~generous(john)
[ "p5", "p7", "p10", "p13", "p15", "p22", "hypothesis" ]
% SZS status Unsatisfiable for 9208039058311846493705954 % SZS output start Proof for 9208039058311846493705954 6. ! [X0] : ((generous(X0) <~> humble(X0)) => (quiet(X0) <~> ~funny(X0))) [input p5] 8. ! [X0] : ((~tall(X0) & ~funny(X0)) <=> (humble(X0) <~> creative(X0))) [input p7] 11. ! [X0] : ((happy(X0) | strong(X0)) ...
0
If mary is patient or not wise then fred is either not strong or patient. Everyone who is not humble is not generous or quiet. Everyone who is not wise or not quiet is both not brave and wise and vice versa. Everyone who is kind or quiet is not quiet or tall. Everyone who is quiet is both not creative and not calm and ...
Paul is not brave.
entailment
(((patient(mary)|~wise(mary)))=>((~strong(fred)<~>patient(fred))))& (![X]:(~humble(X)=>(~generous(X)|quiet(X))))& (![X]:((~wise(X)|~quiet(X))<=>(~brave(X)&wise(X))))& (![X]:((kind(X)|quiet(X))=>(~quiet(X)|tall(X))))& (![X]:(quiet(X)<=>(~creative(X)&~calm(X))))& ((~kind(alice))<=>((~kind(alice)&calm(alice))))& (![X]:((~...
~brave(paul)
[ "p2", "p4", "p9", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 3454753781484883078682282 % SZS output start Proof for 3454753781484883078682282 3. ! [X0] : ((~quiet(X0) | ~wise(X0)) <=> (wise(X0) & ~brave(X0))) [input p2] 5. ! [X0] : (quiet(X0) <=> (~calm(X0) & ~creative(X0))) [input p4] 10. (strong(paul) <~> brave(paul)) <=> ? [X0] : (quiet(X0) & br...
0
Everyone who is both not calm and curious is rich and vice versa. If someone is not funny then mary is both not brave and generous. Everyone who is kind or not quiet is not curious and vice versa. If someone is both not humble and not old then alice is both not funny and funny. If someone is not happy then paul is old ...
Lucy is not rich.
entailment
(![X]:((~calm(X)&curious(X))<=>rich(X)))& ((?[X]:(~funny(X)))=>((~brave(mary)&generous(mary))))& (![X]:((kind(X)|~quiet(X))<=>~curious(X)))& ((?[X]:((~humble(X)&~old(X))))=>((~funny(alice)&funny(alice))))& ((?[X]:(~happy(X)))<=>((old(paul)|~calm(paul))))& (![X]:((humble(X)|~creative(X))<=>~quiet(X)))& (![X]:((humble(X)...
~rich(lucy)
[ "p0", "p2", "p5", "p12", "p22", "hypothesis" ]
% SZS status Unsatisfiable for 896158975403139918364297 % SZS output start Proof for 896158975403139918364297 1. ! [X0] : ((curious(X0) & ~calm(X0)) <=> rich(X0)) [input p0] 3. ! [X0] : ((~quiet(X0) | kind(X0)) <=> ~curious(X0)) [input p2] 6. ! [X0] : ((~creative(X0) | humble(X0)) <=> ~quiet(X0)) [input p5] 13. ! [X0] ...
0
If lucy is both kind and not happy then someone is calm or not brave. If someone is both kind and not curious then mary is not generous and vice versa. Everyone who is both not generous and not quiet is not funny and vice versa. If someone is either wise or quiet then mary is not humble and vice versa. Everyone who is ...
Fred is not rich.
neutral
(((kind(lucy)&~happy(lucy)))=>(?[X]:((calm(X)|~brave(X)))))& ((?[X]:((kind(X)&~curious(X))))<=>(~generous(mary)))& (![X]:((~generous(X)&~quiet(X))<=>~funny(X)))& ((?[X]:((wise(X)<~>quiet(X))))<=>(~humble(mary)))& (![X]:((~funny(X)&~strong(X))<=>~kind(X)))& (![X]:((~old(X)&~kind(X))<=>(generous(X)|~wise(X))))& ((?[X]:((...
~rich(fred)
[]
null
0
If someone is not kind then someone is both generous and not creative. Everyone who is either not rich or not generous is either brave or old and vice versa. Everyone who is either not kind or curious is either not funny or creative. If fred is creative or not generous then someone is patient or not quiet and vice vers...
Susan is kind.
neutral
((?[X]:(~kind(X)))=>(?[X]:((generous(X)&~creative(X)))))& (![X]:((~rich(X)<~>~generous(X))<=>(brave(X)<~>old(X))))& (![X]:((~kind(X)<~>curious(X))=>(~funny(X)<~>creative(X))))& (((creative(fred)|~generous(fred)))<=>(?[X]:((patient(X)|~quiet(X)))))& (![X]:((creative(X)<~>strong(X))=>(~humble(X)<~>brave(X))))& (![X]:(~st...
kind(susan)
[]
null
0
If fred is both wise and kind then someone is creative. If fred is both not patient and not curious then someone is either not kind or not brave and vice versa. If someone is both not quiet and not patient then john is kind or not curious and vice versa. Everyone who is both tall and generous is both not funny and crea...
Paul is creative.
neutral
(((wise(fred)&kind(fred)))=>(?[X]:(creative(X))))& (((~patient(fred)&~curious(fred)))<=>(?[X]:((~kind(X)<~>~brave(X)))))& ((?[X]:((~quiet(X)&~patient(X))))<=>((kind(john)|~curious(john))))& (![X]:((tall(X)&generous(X))<=>(~funny(X)&creative(X))))& (((brave(fred)<~>old(fred)))<=>(?[X]:((~brave(X)|kind(X)))))& (![X]:((cu...
creative(paul)
[]
null
0
Everyone who is not strong is both happy and patient. Everyone who is both old and happy is tall. Everyone who is either not kind or quiet is either not kind or generous. Everyone who is either not wise or not quiet is kind and vice versa. Everyone who is kind or not generous is both not strong and wise. Everyone who i...
Mary is not calm.
contradiction
(![X]:(~strong(X)=>(happy(X)&patient(X))))& (![X]:((old(X)&happy(X))=>tall(X)))& (![X]:((~kind(X)<~>quiet(X))=>(~kind(X)<~>generous(X))))& (![X]:((~wise(X)<~>~quiet(X))<=>kind(X)))& (![X]:((kind(X)|~generous(X))=>(~strong(X)&wise(X))))& (![X]:((creative(X)|quiet(X))=>(strong(X)<~>~generous(X))))& (![X]:((~kind(X)|~happ...
~calm(mary)
[ "p0", "p2", "p3", "p4", "p5", "p6", "p7", "p8", "hypothesis" ]
% SZS status Unsatisfiable for 7375071962523841886620958 % SZS output start Proof for 7375071962523841886620958 1. ! [X0] : (~strong(X0) => (patient(X0) & happy(X0))) [input p0] 3. ! [X0] : ((~kind(X0) <~> quiet(X0)) => (~kind(X0) <~> generous(X0))) [input p2] 4. ! [X0] : ((~wise(X0) <~> ~quiet(X0)) <=> kind(X0)) [inpu...
0
Everyone who is generous is happy. Everyone who is not quiet or not kind is not rich or quiet and vice versa. Everyone who is generous or tall is patient or creative and vice versa. If someone is both old and quiet then alice is both not old and humble and vice versa. Everyone who is happy is not brave and vice versa. ...
Mary is kind.
contradiction
(![X]:(generous(X)=>happy(X)))& (![X]:((~quiet(X)|~kind(X))<=>(~rich(X)|quiet(X))))& (![X]:((generous(X)|tall(X))<=>(patient(X)|creative(X))))& ((?[X]:((old(X)&quiet(X))))<=>((~old(alice)&humble(alice))))& (![X]:(happy(X)<=>~brave(X)))& (((brave(alice)&~kind(alice)))=>((~tall(john)&~strong(john))))& (![X]:(~funny(X)=>(...
kind(mary)
[ "p1", "p9", "p19", "hypothesis" ]
% SZS status Unsatisfiable for 67937504849187102307795 % SZS output start Proof for 67937504849187102307795 2. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (quiet(X0) | ~rich(X0))) [input p1] 10. ! [X0] : ((~rich(X0) | ~wise(X0)) => ~creative(X0)) [input p9] 20. creative(mary) & calm(mary) [input p19] 25. kind(mary) [input h...
0
If someone is both funny and not happy then paul is quiet. Everyone who is not wise or not creative is both old and not creative and vice versa. If someone is both not patient and calm then john is both rich and not generous. If someone is either not patient or creative then someone is not funny. Everyone who is both n...
Fred is not tall.
entailment
((?[X]:((funny(X)&~happy(X))))=>(quiet(paul)))& (![X]:((~wise(X)|~creative(X))<=>(old(X)&~creative(X))))& ((?[X]:((~patient(X)&calm(X))))=>((rich(john)&~generous(john))))& ((?[X]:((~patient(X)<~>creative(X))))=>(?[X]:(~funny(X))))& (![X]:((~brave(X)&kind(X))=>funny(X)))& (((curious(susan)&happy(susan)))=>((quiet(alice)...
~tall(fred)
[ "p7", "p10", "p12", "p14", "p15", "p16", "hypothesis" ]
% SZS status Unsatisfiable for 347432259083138555536386 % SZS output start Proof for 347432259083138555536386 8. ! [X0] : (~humble(X0) <=> (~rich(X0) & kind(X0))) [input p7] 11. ! [X0] : ((curious(X0) | ~funny(X0)) => calm(X0)) [input p10] 13. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (humble(X0) | generous(X0))) [input p1...
0
If mary is both not creative and not humble then someone is both quiet and wise and vice versa. Everyone who is brave is both not rich and funny. If someone is both tall and not brave then someone is rich or calm and vice versa. If lucy is either not funny or wise then lucy is either creative or not rich and vice versa...
Lucy is not humble.
contradiction
(((~creative(mary)&~humble(mary)))<=>(?[X]:((quiet(X)&wise(X)))))& (![X]:(brave(X)=>(~rich(X)&funny(X))))& ((?[X]:((tall(X)&~brave(X))))<=>(?[X]:((rich(X)|calm(X)))))& (((~funny(lucy)<~>wise(lucy)))<=>((creative(lucy)<~>~rich(lucy))))& (![X]:(strong(X)=>~wise(X)))& (![X]:(generous(X)<=>(~old(X)&rich(X))))& (![X]:((funn...
~humble(lucy)
[ "p5", "p6", "p10", "p12", "p13", "p15", "hypothesis" ]
% SZS status Unsatisfiable for 2492138771777673269370802 % SZS output start Proof for 2492138771777673269370802 6. ! [X0] : (generous(X0) <=> (rich(X0) & ~old(X0))) [input p5] 7. ! [X0] : ((~generous(X0) | funny(X0)) => (~old(X0) & ~wise(X0))) [input p6] 11. ! [X0] : ((~patient(X0) | ~rich(X0)) <=> (~creative(X0) | ric...
0
If john is curious then paul is rich or not strong and vice versa. If someone is not brave then someone is either not humble or happy. Everyone who is happy is wise and vice versa. Everyone who is either not creative or old is both not rich and tall. Everyone who is not kind is quiet or not old and vice versa. If susan...
John is generous.
entailment
((curious(john))<=>((rich(paul)|~strong(paul))))& ((?[X]:(~brave(X)))=>(?[X]:((~humble(X)<~>happy(X)))))& (![X]:(happy(X)<=>wise(X)))& (![X]:((~creative(X)<~>old(X))=>(~rich(X)&tall(X))))& (![X]:(~kind(X)<=>(quiet(X)|~old(X))))& (((~patient(susan)&~creative(susan)))<=>(old(john)))& (![X]:((~wise(X)&wise(X))<=>(~funny(X...
generous(john)
[ "p4", "p6", "p7", "p9", "p10", "p13", "p16", "hypothesis" ]
% SZS status Unsatisfiable for 1535628028895598344973302 % SZS output start Proof for 1535628028895598344973302 5. ! [X0] : (~kind(X0) <=> (~old(X0) | quiet(X0))) [input p4] 7. ! [X0] : ((wise(X0) & ~wise(X0)) <=> (generous(X0) & ~funny(X0))) [input p6] 8. ~old(susan) <=> ? [X0] : (happy(X0) <~> ~happy(X0)) [input p7] ...
0
If john is calm or old then someone is both strong and not tall and vice versa. Everyone who is calm is not patient and vice versa. If someone is calm then john is both not rich and not tall. Everyone who is both not generous and happy is both not wise and not old. Everyone who is either calm or not humble is both old ...
John is generous.
entailment
(((calm(john)|old(john)))<=>(?[X]:((strong(X)&~tall(X)))))& (![X]:(calm(X)<=>~patient(X)))& ((?[X]:(calm(X)))=>((~rich(john)&~tall(john))))& (![X]:((~generous(X)&happy(X))=>(~wise(X)&~old(X))))& (![X]:((calm(X)<~>~humble(X))<=>(old(X)&~creative(X))))& ((?[X]:(~creative(X)))<=>((brave(john)<~>kind(john))))& ((?[X]:((~wi...
generous(john)
[ "p2", "p6", "p13", "p23", "hypothesis" ]
% SZS status Unsatisfiable for 6114758121212518317161882 % SZS output start Proof for 6114758121212518317161882 3. ? [X0] : calm(X0) => (~tall(john) & ~rich(john)) [input p2] 7. ? [X0] : (curious(X0) | ~wise(X0)) => ? [X0] : (~happy(X0) & ~wise(X0)) [input p6] 14. ? [X0] : (~happy(X0) | wise(X0)) => (~rich(john) <~> ~g...
0
If someone is not humble then paul is either funny or creative. Everyone who is either not wise or not calm is either happy or kind and vice versa. Everyone who is old or not kind is not strong or not old. Everyone who is both curious and funny is generous and vice versa. If mary is curious then fred is both kind and n...
Mary is quiet.
neutral
((?[X]:(~humble(X)))=>((funny(paul)<~>creative(paul))))& (![X]:((~wise(X)<~>~calm(X))<=>(happy(X)<~>kind(X))))& (![X]:((old(X)|~kind(X))=>(~strong(X)|~old(X))))& (![X]:((curious(X)&funny(X))<=>generous(X)))& ((curious(mary))<=>((kind(fred)&~curious(fred))))& (![X]:((old(X)|~calm(X))=>(~curious(X)<~>funny(X))))& (![X]:(...
quiet(mary)
[]
null
0
If mary is not strong then someone is not tall or not calm. If fred is both not happy and old then someone is either not creative or funny. Everyone who is not funny is not calm and vice versa. Everyone who is either curious or patient is not calm. Everyone who is not rich is either creative or not calm. Everyone who i...
John is not generous.
entailment
((~strong(mary))=>(?[X]:((~tall(X)|~calm(X)))))& (((~happy(fred)&old(fred)))=>(?[X]:((~creative(X)<~>funny(X)))))& (![X]:(~funny(X)<=>~calm(X)))& (![X]:((curious(X)<~>patient(X))=>~calm(X)))& (![X]:(~rich(X)=>(creative(X)<~>~calm(X))))& (![X]:((funny(X)<~>brave(X))=>(~generous(X)<~>~tall(X))))& ((?[X]:((~tall(X)<~>pati...
~generous(john)
[ "p2", "p3", "p11", "p12", "p20", "hypothesis" ]
% SZS status Unsatisfiable for 2424197882442007733659472 % SZS output start Proof for 2424197882442007733659472 3. ! [X0] : (~funny(X0) <=> ~calm(X0)) [input p2] 4. ! [X0] : ((curious(X0) <~> patient(X0)) => ~calm(X0)) [input p3] 12. ! [X0] : ((curious(X0) | ~generous(X0)) <=> (~humble(X0) & funny(X0))) [input p11] 13....
0
Everyone who is tall or creative is both happy and not old and vice versa. If someone is not creative or wise then paul is either funny or not quiet and vice versa. Everyone who is not patient or not strong is not quiet. Everyone who is not happy is not strong or not happy and vice versa. If someone is happy then someo...
Alice is not humble.
neutral
(![X]:((tall(X)|creative(X))<=>(happy(X)&~old(X))))& ((?[X]:((~creative(X)|wise(X))))<=>((funny(paul)<~>~quiet(paul))))& (![X]:((~patient(X)|~strong(X))=>~quiet(X)))& (![X]:(~happy(X)<=>(~strong(X)|~happy(X))))& ((?[X]:(happy(X)))=>(?[X]:(funny(X))))& ((?[X]:((calm(X)<~>generous(X))))=>(?[X]:(quiet(X))))& ((rich(fred))...
~humble(alice)
[]
null
0
Everyone who is either rich or curious is both humble and not wise and vice versa. Everyone who is not happy or funny is both not humble and not wise. Everyone who is not tall or wise is either not quiet or not kind and vice versa. Everyone who is not wise is not humble or kind and vice versa. Everyone who is both rich...
Alice is not humble.
neutral
(![X]:((rich(X)<~>curious(X))<=>(humble(X)&~wise(X))))& (![X]:((~happy(X)|funny(X))=>(~humble(X)&~wise(X))))& (![X]:((~tall(X)|wise(X))<=>(~quiet(X)<~>~kind(X))))& (![X]:(~wise(X)<=>(~humble(X)|kind(X))))& (![X]:((rich(X)&~funny(X))<=>(humble(X)<~>old(X))))& (![X]:((brave(X)|~generous(X))<=>(~rich(X)|happy(X))))& ((?[X...
~humble(alice)
[]
null
0
Everyone who is humble or not old is not calm or happy. Everyone who is both curious and not brave is either not funny or not strong and vice versa. Everyone who is not calm or not generous is either not strong or not patient. If someone is either not old or not curious then someone is both not kind and not curious. Ev...
Fred is not funny.
contradiction
(![X]:((humble(X)|~old(X))=>(~calm(X)|happy(X))))& (![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))& (![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))& ((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))& (![X]:((~happy(X)<~>creative(X))=>(~kind(X)<~>~generous(X))))& (![X]:((tall(X)...
~funny(fred)
[ "p1", "p2", "p7", "p9", "p10", "p12", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 5165370408243580812323277 % SZS output start Proof for 5165370408243580812323277 2. ! [X0] : ((~brave(X0) & curious(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input p1] 3. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2] 8. ! [X0] : (generous(X0) <=> (old(X...
0
If someone is either kind or not creative then susan is both generous and not rich. Everyone who is old or wise is not tall or happy. Everyone who is generous or not patient is both not brave and old. Everyone who is either not funny or not brave is not brave or wise and vice versa. Everyone who is funny is rich or not...
Fred is wise.
contradiction
((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))& (![X]:((old(X)|wise(X))=>(~tall(X)|happy(X))))& (![X]:((generous(X)|~patient(X))=>(~brave(X)&old(X))))& (![X]:((~funny(X)<~>~brave(X))<=>(~brave(X)|wise(X))))& (![X]:(funny(X)<=>(rich(X)|~tall(X))))& (![X]:(wise(X)<=>~strong(X)))& (![X]:((strong(X)<...
wise(fred)
[ "p1", "p3", "p4", "p5", "p6", "p9", "p11", "p13", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 7846638551435058922375040 % SZS output start Proof for 7846638551435058922375040 2. ! [X0] : ((wise(X0) | old(X0)) => (happy(X0) | ~tall(X0))) [input p1] 4. ! [X0] : ((~funny(X0) <~> ~brave(X0)) <=> (wise(X0) | ~brave(X0))) [input p3] 5. ! [X0] : (funny(X0) <=> (~tall(X0) | rich(X0))) [in...
0
If mary is not old then susan is both humble and not tall. Everyone who is both patient and not calm is either not patient or not calm. Everyone who is either creative or not creative is strong. Everyone who is both generous and not rich is either brave or rich. Everyone who is either not rich or not patient is both ta...
Lucy is not patient.
contradiction
((~old(mary))=>((humble(susan)&~tall(susan))))& (![X]:((patient(X)&~calm(X))=>(~patient(X)<~>~calm(X))))& (![X]:((creative(X)<~>~creative(X))=>strong(X)))& (![X]:((generous(X)&~rich(X))=>(brave(X)<~>rich(X))))& (![X]:((~rich(X)<~>~patient(X))=>(tall(X)&quiet(X))))& ((?[X]:((~generous(X)<~>~curious(X))))<=>((~funny(lucy...
~patient(lucy)
[ "p2", "p9", "p11", "p19", "p22", "hypothesis" ]
% SZS status Unsatisfiable for 6226415260009094601458066 % SZS output start Proof for 6226415260009094601458066 3. ! [X0] : ((creative(X0) <~> ~creative(X0)) => strong(X0)) [input p2] 10. ? [X0] : (old(X0) | quiet(X0)) => (patient(lucy) & tall(lucy)) [input p9] 12. ! [X0] : (~old(X0) <=> (brave(X0) <~> ~creative(X0))) ...
0
If fred is both not creative and not wise then fred is curious or calm and vice versa. Everyone who is either not rich or not patient is both brave and wise. Everyone who is both not brave and tall is not kind. Everyone who is not creative is either not happy or not patient and vice versa. If someone is either not gene...
Mary is kind.
entailment
(((~creative(fred)&~wise(fred)))<=>((curious(fred)|calm(fred))))& (![X]:((~rich(X)<~>~patient(X))=>(brave(X)&wise(X))))& (![X]:((~brave(X)&tall(X))=>~kind(X)))& (![X]:(~creative(X)<=>(~happy(X)<~>~patient(X))))& ((?[X]:((~generous(X)<~>patient(X))))=>(?[X]:((patient(X)|quiet(X)))))& ((?[X]:((~kind(X)|quiet(X))))=>(?[X]...
kind(mary)
[ "p10", "p21", "hypothesis" ]
% SZS status Unsatisfiable for 1027590308612014008738125 % SZS output start Proof for 1027590308612014008738125 11. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (kind(X0) <~> brave(X0))) [input p10] 22. ~brave(mary) [input p21] 25. ~kind(mary) [input hypothesis] 62. ! [X0] : ((((~quiet(X0) | quiet(X0)) & (quiet(X0) | ~quie...
0
Everyone who is both not funny and not humble is generous or not funny and vice versa. Everyone who is either funny or old is not happy and vice versa. If someone is old then mary is not patient or happy and vice versa. If someone is both not kind and not happy then alice is both not funny and kind. If someone is eithe...
John is happy.
contradiction
(![X]:((~funny(X)&~humble(X))<=>(generous(X)|~funny(X))))& (![X]:((funny(X)<~>old(X))<=>~happy(X)))& ((?[X]:(old(X)))<=>((~patient(mary)|happy(mary))))& ((?[X]:((~kind(X)&~happy(X))))=>((~funny(alice)&kind(alice))))& ((?[X]:((~calm(X)<~>rich(X))))<=>((wise(alice)|~generous(alice))))& ((?[X]:((~rich(X)|curious(X))))<=>(...
happy(john)
[ "p0", "p1", "p6", "p23", "hypothesis" ]
% SZS status Unsatisfiable for 5880728182564853512335050 % SZS output start Proof for 5880728182564853512335050 1. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (~funny(X0) | generous(X0))) [input p0] 2. ! [X0] : ((funny(X0) <~> old(X0)) <=> ~happy(X0)) [input p1] 7. ! [X0] : (~humble(X0) <=> (~patient(X0) & humble(X0))) [i...
0
Everyone who is both not generous and calm is both not wise and not rich. If someone is either patient or not strong then someone is both not happy and brave and vice versa. If john is not kind then someone is both kind and not calm and vice versa. If someone is happy or kind then someone is either not kind or curious....
Paul is not funny.
entailment
(![X]:((~generous(X)&calm(X))=>(~wise(X)&~rich(X))))& ((?[X]:((patient(X)<~>~strong(X))))<=>(?[X]:((~happy(X)&brave(X)))))& ((~kind(john))<=>(?[X]:((kind(X)&~calm(X)))))& ((?[X]:((happy(X)|kind(X))))=>(?[X]:((~kind(X)<~>curious(X)))))& (![X]:((~brave(X)<~>strong(X))<=>(strong(X)<~>curious(X))))& (((~kind(paul)|brave(pa...
~funny(paul)
[ "p7", "p11", "p12", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 9059224444557692088179461 % SZS output start Proof for 9059224444557692088179461 8. ? [X0] : (creative(X0) & rich(X0)) <=> ? [X0] : (~creative(X0) | curious(X0)) [input p7] 12. ! [X0] : (creative(X0) => (~happy(X0) & brave(X0))) [input p11] 13. ! [X0] : ((~funny(X0) | funny(X0)) => (~curi...
0
Everyone who is not calm or not tall is tall and vice versa. Everyone who is kind is either kind or happy and vice versa. If someone is both kind and calm then someone is calm or quiet and vice versa. Everyone who is not old is both old and funny and vice versa. Everyone who is creative is both rich and not quiet and v...
Mary is not brave.
neutral
(![X]:((~calm(X)|~tall(X))<=>tall(X)))& (![X]:(kind(X)<=>(kind(X)<~>happy(X))))& ((?[X]:((kind(X)&calm(X))))<=>(?[X]:((calm(X)|quiet(X)))))& (![X]:(~old(X)<=>(old(X)&funny(X))))& (![X]:(creative(X)<=>(rich(X)&~quiet(X))))& ((~rich(alice))=>(?[X]:(~creative(X))))& ((?[X]:((~calm(X)<~>~kind(X))))<=>(?[X]:((~patient(X)<~>...
~brave(mary)
[]
null
0
If someone is not strong or curious then someone is curious or not funny and vice versa. Everyone who is creative or brave is both not funny and not strong. Everyone who is both patient and not brave is not happy and vice versa. Everyone who is not quiet or not patient is not funny or not wise and vice versa. If alice ...
Lucy is happy.
entailment
((?[X]:((~strong(X)|curious(X))))<=>(?[X]:((curious(X)|~funny(X)))))& (![X]:((creative(X)|brave(X))=>(~funny(X)&~strong(X))))& (![X]:((patient(X)&~brave(X))<=>~happy(X)))& (![X]:((~quiet(X)|~patient(X))<=>(~funny(X)|~wise(X))))& (((calm(alice)|~rich(alice)))=>(?[X]:((~strong(X)<~>~patient(X)))))& (![X]:((humble(X)&rich...
happy(lucy)
[ "p1", "p2", "p7", "p11", "hypothesis" ]
% SZS status Unsatisfiable for 7025641528070068500339102 % SZS output start Proof for 7025641528070068500339102 2. ! [X0] : ((brave(X0) | creative(X0)) => (~strong(X0) & ~funny(X0))) [input p1] 3. ! [X0] : ((~brave(X0) & patient(X0)) <=> ~happy(X0)) [input p2] 8. ! [X0] : (~happy(X0) <=> (~brave(X0) <~> ~funny(X0))) [i...
0
If susan is quiet or not old then someone is either not wise or humble and vice versa. Everyone who is strong is generous or not brave. Everyone who is funny or brave is not strong. Everyone who is not wise is not strong or happy. If someone is either not kind or brave then someone is not strong or not old and vice ver...
Alice is not creative.
entailment
(((quiet(susan)|~old(susan)))<=>(?[X]:((~wise(X)<~>humble(X)))))& (![X]:(strong(X)=>(generous(X)|~brave(X))))& (![X]:((funny(X)|brave(X))=>~strong(X)))& (![X]:(~wise(X)=>(~strong(X)|happy(X))))& ((?[X]:((~kind(X)<~>brave(X))))<=>(?[X]:((~strong(X)|~old(X)))))& (![X]:((rich(X)&tall(X))=>(old(X)|strong(X))))& (![X]:((ric...
~creative(alice)
[ "p13", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 3941393046735215694925234 % SZS output start Proof for 3941393046735215694925234 14. ! [X0] : (wise(X0) <=> (~patient(X0) | ~wise(X0))) [input p13] 15. ! [X0] : (~creative(X0) <=> (wise(X0) | patient(X0))) [input p14] 24. creative(alice) [input hypothesis] 61. ! [X0] : ((wise(X0) | (patie...
0
If mary is both not tall and generous then paul is both generous and curious. If susan is humble or calm then someone is both old and not curious and vice versa. Everyone who is either rich or strong is quiet or not generous and vice versa. Everyone who is not funny is humble or not brave. If lucy is either not wise or...
Susan is funny.
contradiction
(((~tall(mary)&generous(mary)))=>((generous(paul)&curious(paul))))& (((humble(susan)|calm(susan)))<=>(?[X]:((old(X)&~curious(X)))))& (![X]:((rich(X)<~>strong(X))<=>(quiet(X)|~generous(X))))& (![X]:(~funny(X)=>(humble(X)|~brave(X))))& (((~wise(lucy)<~>strong(lucy)))=>((~rich(lucy)|~funny(lucy))))& (![X]:((rich(X)|~quiet...
funny(susan)
[ "p2", "p5", "p11", "p14", "p15", "hypothesis" ]
% SZS status Unsatisfiable for 6802904283732657912650326 % SZS output start Proof for 6802904283732657912650326 3. ! [X0] : ((rich(X0) <~> strong(X0)) <=> (~generous(X0) | quiet(X0))) [input p2] 6. ! [X0] : ((~quiet(X0) | rich(X0)) <=> funny(X0)) [input p5] 12. ! [X0] : ((~brave(X0) <~> curious(X0)) <=> (~generous(X0) ...
0
If paul is happy then fred is both old and rich and vice versa. Everyone who is not quiet is not kind or not calm. If someone is quiet then someone is not happy or calm and vice versa. Everyone who is generous is strong and vice versa. Everyone who is generous is not strong. Everyone who is not creative is not wise or ...
Lucy is kind.
contradiction
((happy(paul))<=>((old(fred)&rich(fred))))& (![X]:(~quiet(X)=>(~kind(X)|~calm(X))))& ((?[X]:(quiet(X)))<=>(?[X]:((~happy(X)|calm(X)))))& (![X]:(generous(X)<=>strong(X)))& (![X]:(generous(X)=>~strong(X)))& (![X]:(~creative(X)<=>(~wise(X)|~quiet(X))))& (![X]:((creative(X)&wise(X))<=>~generous(X)))& ((?[X]:((~strong(X)|~c...
kind(lucy)
[ "p3", "p4", "p6", "p13", "p22", "hypothesis" ]
% SZS status Unsatisfiable for 8785761633587757175248708 % SZS output start Proof for 8785761633587757175248708 4. ! [X0] : (generous(X0) <=> strong(X0)) [input p3] 5. ! [X0] : (generous(X0) => ~strong(X0)) [input p4] 7. ! [X0] : ((wise(X0) & creative(X0)) <=> ~generous(X0)) [input p6] 14. ! [X0] : ((kind(X0) <~> patie...
0
Everyone who is strong or brave is both not generous and humble. If someone is either not creative or patient then someone is both not tall and not strong and vice versa. Everyone who is tall or rich is either creative or curious. Everyone who is not patient or wise is generous or not funny and vice versa. If mary is n...
Susan is not tall.
entailment
(![X]:((strong(X)|brave(X))=>(~generous(X)&humble(X))))& ((?[X]:((~creative(X)<~>patient(X))))<=>(?[X]:((~tall(X)&~strong(X)))))& (![X]:((tall(X)|rich(X))=>(creative(X)<~>curious(X))))& (![X]:((~patient(X)|wise(X))<=>(generous(X)|~funny(X))))& (((~kind(mary)|old(mary)))=>(~kind(mary)))& (![X]:((~patient(X)&~generous(X)...
~tall(susan)
[ "p2", "p23", "hypothesis" ]
% SZS status Unsatisfiable for 7608057113552624995246165 % SZS output start Proof for 7608057113552624995246165 3. ! [X0] : ((rich(X0) | tall(X0)) => (creative(X0) <~> curious(X0))) [input p2] 24. ~creative(susan) <~> curious(susan) [input p23] 25. tall(susan) [input hypothesis] 27. ! [X0] : (tall(X0) => (creative(X0) ...
0
Everyone who is patient or wise is either not strong or rich. Everyone who is tall is either quiet or brave. Everyone who is either not brave or not funny is strong and vice versa. Everyone who is both not tall and not funny is both not calm and tall. Everyone who is brave or not creative is calm or not wise and vice v...
Alice is not patient.
entailment
(![X]:((patient(X)|wise(X))=>(~strong(X)<~>rich(X))))& (![X]:(tall(X)=>(quiet(X)<~>brave(X))))& (![X]:((~brave(X)<~>~funny(X))<=>strong(X)))& (![X]:((~tall(X)&~funny(X))=>(~calm(X)&tall(X))))& (![X]:((brave(X)|~creative(X))<=>(calm(X)|~wise(X))))& ((?[X]:((humble(X)|~funny(X))))=>(humble(john)))& (![X]:(brave(X)=>(tall...
~patient(alice)
[ "p0", "p2", "p6", "p17", "p23", "hypothesis" ]
% SZS status Unsatisfiable for 2264611477931042472194317 % SZS output start Proof for 2264611477931042472194317 1. ! [X0] : ((wise(X0) | patient(X0)) => (~strong(X0) <~> rich(X0))) [input p0] 3. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> strong(X0)) [input p2] 7. ! [X0] : (brave(X0) => (strong(X0) & tall(X0))) [input p6...
0
If mary is happy or not old then fred is either not quiet or kind and vice versa. Everyone who is wise is not generous or not quiet. If someone is either not creative or not quiet then fred is either funny or quiet. If someone is quiet or not kind then paul is not rich or not creative and vice versa. If susan is not fu...
Alice is not rich.
entailment
(((happy(mary)|~old(mary)))<=>((~quiet(fred)<~>kind(fred))))& (![X]:(wise(X)=>(~generous(X)|~quiet(X))))& ((?[X]:((~creative(X)<~>~quiet(X))))=>((funny(fred)<~>quiet(fred))))& ((?[X]:((quiet(X)|~kind(X))))<=>((~rich(paul)|~creative(paul))))& (((~funny(susan)|brave(susan)))<=>(?[X]:((tall(X)|quiet(X)))))& (((funny(john)...
~rich(alice)
[ "p8", "p12", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 5505106089736871553837217 % SZS output start Proof for 5505106089736871553837217 9. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> ~old(X0)) [input p8] 13. ! [X0] : ((curious(X0) | patient(X0)) <=> ~rich(X0)) [input p12] 14. ? [X0] : ~humble(X0) <=> ? [X0] : (~wise(X0) | ~patient(X0)) [input p1...
0
Everyone who is wise or calm is both quiet and not wise. If mary is not brave then susan is either kind or not strong. If someone is both not wise and not brave then lucy is not strong or brave and vice versa. Everyone who is either quiet or old is calm. Everyone who is either not curious or not calm is not brave or qu...
Fred is not patient.
contradiction
(![X]:((wise(X)|calm(X))=>(quiet(X)&~wise(X))))& ((~brave(mary))=>((kind(susan)<~>~strong(susan))))& ((?[X]:((~wise(X)&~brave(X))))<=>((~strong(lucy)|brave(lucy))))& (![X]:((quiet(X)<~>old(X))=>calm(X)))& (![X]:((~curious(X)<~>~calm(X))=>(~brave(X)|quiet(X))))& (((patient(fred)&happy(fred)))<=>(?[X]:((humble(X)<~>kind(...
~patient(fred)
[ "p0", "p5", "p6", "p11", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 1506245969317545571106187 % SZS output start Proof for 1506245969317545571106187 1. ! [X0] : ((calm(X0) | wise(X0)) => (~wise(X0) & quiet(X0))) [input p0] 6. (happy(fred) & patient(fred)) <=> ? [X0] : (humble(X0) <~> kind(X0)) [input p5] 7. ~kind(alice) <=> ? [X0] : (humble(X0) | tall(X0)...
0
Everyone who is both not strong and brave is both patient and not tall and vice versa. Everyone who is both tall and brave is either tall or patient. Everyone who is not happy or not humble is both kind and brave. If mary is not funny then someone is either humble or happy and vice versa. If mary is both not calm and c...
John is not wise.
entailment
(![X]:((~strong(X)&brave(X))<=>(patient(X)&~tall(X))))& (![X]:((tall(X)&brave(X))=>(tall(X)<~>patient(X))))& (![X]:((~happy(X)|~humble(X))=>(kind(X)&brave(X))))& ((~funny(mary))<=>(?[X]:((humble(X)<~>happy(X)))))& (((~calm(mary)&creative(mary)))=>(?[X]:((~generous(X)<~>creative(X)))))& ((?[X]:((~rich(X)&~old(X))))=>((~...
~wise(john)
[ "p1", "p2", "p8", "p12", "p19", "hypothesis" ]
% SZS status Unsatisfiable for 6136770634207340218987872 % SZS output start Proof for 6136770634207340218987872 2. ! [X0] : ((brave(X0) & tall(X0)) => (tall(X0) <~> patient(X0))) [input p1] 3. ! [X0] : ((~humble(X0) | ~happy(X0)) => (brave(X0) & kind(X0))) [input p2] 9. ! [X0] : ((happy(X0) | ~strong(X0)) => ~tall(X0))...
0
Everyone who is not humble is either not old or funny and vice versa. If someone is either not wise or funny then someone is either calm or happy. Everyone who is either creative or curious is not brave. Everyone who is both not generous and happy is happy or not calm and vice versa. If someone is not funny then lucy i...
Fred is not brave.
neutral
(![X]:(~humble(X)<=>(~old(X)<~>funny(X))))& ((?[X]:((~wise(X)<~>funny(X))))=>(?[X]:((calm(X)<~>happy(X)))))& (![X]:((creative(X)<~>curious(X))=>~brave(X)))& (![X]:((~generous(X)&happy(X))<=>(happy(X)|~calm(X))))& ((?[X]:(~funny(X)))=>((rich(lucy)|~tall(lucy))))& (![X]:(~funny(X)<=>(~funny(X)&funny(X))))& (![X]:((~wise(...
~brave(fred)
[]
null
0
If lucy is kind or not generous then someone is both wise and not brave and vice versa. Everyone who is not curious is funny and vice versa. Everyone who is both generous and kind is both not wise and not old and vice versa. If mary is either tall or quiet then someone is both not old and not quiet. Everyone who is eit...
Alice is rich.
contradiction
(((kind(lucy)|~generous(lucy)))<=>(?[X]:((wise(X)&~brave(X)))))& (![X]:(~curious(X)<=>funny(X)))& (![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))& (((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))& (![X]:((curious(X)<~>~curious(X))<=>(~old(X)|kind(X))))& (![X]:((~brave(X)|curious(X))<=>~curious(X)))& ((?...
rich(alice)
[ "p1", "p5", "p10", "p11", "p13", "p15", "p18", "hypothesis" ]
% SZS status Unsatisfiable for 5661599875530984265815053 % SZS output start Proof for 5661599875530984265815053 2. ! [X0] : (~curious(X0) <=> funny(X0)) [input p1] 6. ! [X0] : ((curious(X0) | ~brave(X0)) <=> ~curious(X0)) [input p5] 11. ! [X0] : ((tall(X0) <~> patient(X0)) => (~creative(X0) & ~quiet(X0))) [input p10] 1...
0
Everyone who is not brave or not creative is both strong and humble and vice versa. Everyone who is brave or not wise is quiet or kind. If someone is not kind or not humble then lucy is curious or not old and vice versa. If someone is both generous and not creative then someone is not old. If someone is rich then alice...
Paul is kind.
entailment
(![X]:((~brave(X)|~creative(X))<=>(strong(X)&humble(X))))& (![X]:((brave(X)|~wise(X))=>(quiet(X)|kind(X))))& ((?[X]:((~kind(X)|~humble(X))))<=>((curious(lucy)|~old(lucy))))& ((?[X]:((generous(X)&~creative(X))))=>(?[X]:(~old(X))))& ((?[X]:(rich(X)))<=>((humble(alice)&strong(alice))))& ((?[X]:(brave(X)))=>(?[X]:((~genero...
kind(paul)
[ "p3", "p9", "p11", "p12", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 3736425575474340333655272 % SZS output start Proof for 3736425575474340333655272 4. ? [X0] : (~creative(X0) & generous(X0)) => ? [X0] : ~old(X0) [input p3] 10. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> ~funny(X0)) [input p9] 12. ! [X0] : ((~kind(X0) | brave(X0)) => happy(X0)) [input p11]...
0
Everyone who is either kind or not patient is both rich and brave and vice versa. Everyone who is both kind and not generous is not curious and vice versa. If alice is not patient or not calm then someone is not kind and vice versa. Everyone who is happy is both not creative and not brave. If mary is old then susan is ...
Alice is not humble.
entailment
(![X]:((kind(X)<~>~patient(X))<=>(rich(X)&brave(X))))& (![X]:((kind(X)&~generous(X))<=>~curious(X)))& (((~patient(alice)|~calm(alice)))<=>(?[X]:(~kind(X))))& (![X]:(happy(X)=>(~creative(X)&~brave(X))))& ((old(mary))<=>((~funny(susan)<~>old(susan))))& (((~tall(john)<~>curious(john)))=>(?[X]:((humble(X)&wise(X)))))& (![X...
~humble(alice)
[ "p1", "p6", "p7", "p9", "p12", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 6091283402733816288400605 % SZS output start Proof for 6091283402733816288400605 2. ! [X0] : ((~generous(X0) & kind(X0)) <=> ~curious(X0)) [input p1] 7. ! [X0] : ((~kind(X0) | wise(X0)) <=> (~quiet(X0) & ~wise(X0))) [input p6] 8. ! [X0] : ((funny(X0) | generous(X0)) => ~kind(X0)) [input p...
0
If mary is curious or not curious then susan is either funny or not tall. If someone is not funny or not creative then susan is either rich or not patient. Everyone who is both not strong and not tall is wise and vice versa. If mary is both not humble and humble then someone is either not curious or not funny and vice ...
Susan is not wise.
contradiction
(((curious(mary)|~curious(mary)))=>((funny(susan)<~>~tall(susan))))& ((?[X]:((~funny(X)|~creative(X))))=>((rich(susan)<~>~patient(susan))))& (![X]:((~strong(X)&~tall(X))<=>wise(X)))& (((~humble(mary)&humble(mary)))<=>(?[X]:((~curious(X)<~>~funny(X)))))& (![X]:(strong(X)<=>(~wise(X)|~happy(X))))& (![X]:((~kind(X)|strong...
~wise(susan)
[ "p4", "p5", "hypothesis" ]
% SZS status Unsatisfiable for 6199607753151055430615657 % SZS output start Proof for 6199607753151055430615657 5. ! [X0] : (strong(X0) <=> (~happy(X0) | ~wise(X0))) [input p4] 6. ! [X0] : ((strong(X0) | ~kind(X0)) <=> (curious(X0) & ~strong(X0))) [input p5] 22. ~wise(susan) [input hypothesis] 45. ! [X0] : ((strong(X0)...
0
Everyone who is either not calm or brave is generous or funny and vice versa. Everyone who is not creative is not calm and vice versa. Everyone who is either kind or not calm is creative and vice versa. If someone is not quiet then john is not tall or quiet and vice versa. Everyone who is either not old or rich is not ...
Lucy is not rich.
neutral
(![X]:((~calm(X)<~>brave(X))<=>(generous(X)|funny(X))))& (![X]:(~creative(X)<=>~calm(X)))& (![X]:((kind(X)<~>~calm(X))<=>creative(X)))& ((?[X]:(~quiet(X)))<=>((~tall(john)|quiet(john))))& (![X]:((~old(X)<~>rich(X))<=>~tall(X)))& (![X]:((humble(X)<~>~rich(X))<=>(~strong(X)|quiet(X))))& (![X]:((~calm(X)|~creative(X))=>~t...
~rich(lucy)
[]
null
0
Everyone who is not rich or not tall is calm. If susan is both not happy and patient then someone is brave or not wise. Everyone who is not happy or patient is either not old or not happy and vice versa. Everyone who is generous is calm or not wise and vice versa. Everyone who is old or strong is both old and not rich ...
Fred is not rich.
entailment
(![X]:((~rich(X)|~tall(X))=>calm(X)))& (((~happy(susan)&patient(susan)))=>(?[X]:((brave(X)|~wise(X)))))& (![X]:((~happy(X)|patient(X))<=>(~old(X)<~>~happy(X))))& (![X]:(generous(X)<=>(calm(X)|~wise(X))))& (![X]:((old(X)|strong(X))<=>(old(X)&~rich(X))))& ((?[X]:((wise(X)&~patient(X))))<=>(?[X]:((wise(X)<~>~wise(X)))))& ...
~rich(fred)
[ "p2", "p4", "p7", "hypothesis" ]
% SZS status Unsatisfiable for 4894872408548922115208876 % SZS output start Proof for 4894872408548922115208876 3. ! [X0] : ((patient(X0) | ~happy(X0)) <=> (~old(X0) <~> ~happy(X0))) [input p2] 5. ! [X0] : ((strong(X0) | old(X0)) <=> (~rich(X0) & old(X0))) [input p4] 8. ? [X0] : (tall(X0) | ~tall(X0)) <=> (~patient(fre...
0
Everyone who is not funny or old is creative or not funny and vice versa. Everyone who is both not humble and not wise is not curious or not brave. Everyone who is happy or calm is not quiet. Everyone who is not kind or not quiet is quiet and vice versa. Everyone who is both not rich and strong is either not calm or no...
Mary is strong.
contradiction
(![X]:((~funny(X)|old(X))<=>(creative(X)|~funny(X))))& (![X]:((~humble(X)&~wise(X))=>(~curious(X)|~brave(X))))& (![X]:((happy(X)|calm(X))=>~quiet(X)))& (![X]:((~kind(X)|~quiet(X))<=>quiet(X)))& (![X]:((~rich(X)&strong(X))<=>(~calm(X)<~>~patient(X))))& (((patient(mary)|~old(mary)))=>((~curious(susan)|rich(susan))))& (![...
strong(mary)
[ "p2", "p3", "p4", "p5", "p8", "p11", "p18", "hypothesis" ]
% SZS status Unsatisfiable for 1781546970769531503301200 % SZS output start Proof for 1781546970769531503301200 3. ! [X0] : ((calm(X0) | happy(X0)) => ~quiet(X0)) [input p2] 4. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> quiet(X0)) [input p3] 5. ! [X0] : ((strong(X0) & ~rich(X0)) <=> (~calm(X0) <~> ~patient(X0))) [input p4]...
0
Everyone who is not kind or not brave is rich or not tall. Everyone who is funny or humble is rich or curious and vice versa. Everyone who is not generous is brave or creative. Everyone who is not tall or not funny is not kind or kind and vice versa. If fred is either not tall or funny then mary is not patient or curio...
Lucy is funny.
contradiction
(![X]:((~kind(X)|~brave(X))=>(rich(X)|~tall(X))))& (![X]:((funny(X)|humble(X))<=>(rich(X)|curious(X))))& (![X]:(~generous(X)=>(brave(X)|creative(X))))& (![X]:((~tall(X)|~funny(X))<=>(~kind(X)|kind(X))))& (((~tall(fred)<~>funny(fred)))=>((~patient(mary)|curious(mary))))& (((~kind(mary)<~>~old(mary)))=>((~kind(john)<~>~r...
funny(lucy)
[ "p1", "p6", "p8", "p12", "p15", "hypothesis" ]
% SZS status Unsatisfiable for 8040463298569185634790302 % SZS output start Proof for 8040463298569185634790302 2. ! [X0] : ((humble(X0) | funny(X0)) <=> (curious(X0) | rich(X0))) [input p1] 7. ! [X0] : ((quiet(X0) | ~creative(X0)) => creative(X0)) [input p6] 9. ! [X0] : ((old(X0) <~> ~funny(X0)) => ~curious(X0)) [inpu...
0
Everyone who is not quiet or not patient is not tall or not curious. Everyone who is not patient is happy or brave and vice versa. If someone is either not funny or calm then someone is either not strong or creative. Everyone who is both quiet and not calm is both not strong and happy and vice versa. Everyone who is ei...
John is kind.
entailment
(![X]:((~quiet(X)|~patient(X))=>(~tall(X)|~curious(X))))& (![X]:(~patient(X)<=>(happy(X)|brave(X))))& ((?[X]:((~funny(X)<~>calm(X))))=>(?[X]:((~strong(X)<~>creative(X)))))& (![X]:((quiet(X)&~calm(X))<=>(~strong(X)&happy(X))))& (![X]:((~kind(X)<~>~tall(X))=>~old(X)))& (![X]:(creative(X)=>(~creative(X)|~funny(X))))& (![X...
kind(john)
[ "p5", "p12", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 652941014564563287786143 % SZS output start Proof for 652941014564563287786143 6. ! [X0] : (creative(X0) => (~funny(X0) | ~creative(X0))) [input p5] 13. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (creative(X0) & patient(X0))) [input p12] 15. ? [X0] : ~kind(X0) <=> funny(john) [input p14] 2...
0
Everyone who is either tall or calm is both not calm and not quiet. Everyone who is not creative is both not rich and creative and vice versa. If someone is not happy then someone is not curious and vice versa. If paul is both not humble and wise then alice is creative or humble and vice versa. Everyone who is both hap...
Paul is not curious.
entailment
(![X]:((tall(X)<~>calm(X))=>(~calm(X)&~quiet(X))))& (![X]:(~creative(X)<=>(~rich(X)&creative(X))))& ((?[X]:(~happy(X)))<=>(?[X]:(~curious(X))))& (((~humble(paul)&wise(paul)))<=>((creative(alice)|humble(alice))))& (![X]:((happy(X)&~patient(X))=>(curious(X)|~strong(X))))& (![X]:(~wise(X)=>(curious(X)|~brave(X))))& (![X]:...
~curious(paul)
[ "p1", "p6", "p9", "hypothesis" ]
% SZS status Unsatisfiable for 764417942435229035968594 % SZS output start Proof for 764417942435229035968594 2. ! [X0] : (~creative(X0) <=> (creative(X0) & ~rich(X0))) [input p1] 7. ! [X0] : ((curious(X0) | ~generous(X0)) <=> (~humble(X0) & funny(X0))) [input p6] 10. ? [X0] : (~creative(X0) & creative(X0)) <=> (~funny...
0
If someone is patient or humble then lucy is either not creative or kind and vice versa. Everyone who is both not kind and not quiet is happy and vice versa. If someone is both not kind and not old then paul is not rich or humble. Everyone who is both not rich and not happy is both not old and not generous. If mary is ...
John is old.
contradiction
((?[X]:((patient(X)|humble(X))))<=>((~creative(lucy)<~>kind(lucy))))& (![X]:((~kind(X)&~quiet(X))<=>happy(X)))& ((?[X]:((~kind(X)&~old(X))))=>((~rich(paul)|humble(paul))))& (![X]:((~rich(X)&~happy(X))=>(~old(X)&~generous(X))))& (((calm(mary)<~>~happy(mary)))<=>((~strong(fred)&creative(fred))))& (![X]:((~funny(X)|creati...
old(john)
[ "p1", "p3", "p8", "p14", "p15", "p20", "p21", "hypothesis" ]
% SZS status Unsatisfiable for 4851091752097409868660683 % SZS output start Proof for 4851091752097409868660683 2. ! [X0] : ((~quiet(X0) & ~kind(X0)) <=> happy(X0)) [input p1] 4. ! [X0] : ((~happy(X0) & ~rich(X0)) => (~generous(X0) & ~old(X0))) [input p3] 9. ! [X0] : ((curious(X0) <~> ~wise(X0)) <=> (~humble(X0) | ~kin...
0
If mary is not strong or strong then lucy is both not brave and not tall and vice versa. Everyone who is not patient or brave is quiet and vice versa. Everyone who is both humble and rich is both not generous and not calm and vice versa. Everyone who is either brave or not calm is brave. Everyone who is either not humb...
Lucy is not patient.
entailment
(((~strong(mary)|strong(mary)))<=>((~brave(lucy)&~tall(lucy))))& (![X]:((~patient(X)|brave(X))<=>quiet(X)))& (![X]:((humble(X)&rich(X))<=>(~generous(X)&~calm(X))))& (![X]:((brave(X)<~>~calm(X))=>brave(X)))& (![X]:((~humble(X)<~>~calm(X))=>(wise(X)&humble(X))))& (![X]:((~humble(X)<~>~old(X))<=>(kind(X)|calm(X))))& (![X]...
~patient(lucy)
[ "p0", "p1", "p2", "p3", "p4", "p6", "hypothesis" ]
% SZS status Unsatisfiable for 6260438184919540884103915 % SZS output start Proof for 6260438184919540884103915 1. (strong(mary) | ~strong(mary)) <=> (~tall(lucy) & ~brave(lucy)) [input p0] 2. ! [X0] : ((brave(X0) | ~patient(X0)) <=> quiet(X0)) [input p1] 3. ! [X0] : ((rich(X0) & humble(X0)) <=> (~calm(X0) & ~generous(...
0
If someone is both not rich and not brave then someone is either happy or not funny and vice versa. If paul is not curious or not happy then someone is kind and vice versa. If someone is either not wise or quiet then someone is not happy or not patient. If someone is either funny or old then fred is both tall and not k...
John is patient.
contradiction
((?[X]:((~rich(X)&~brave(X))))<=>(?[X]:((happy(X)<~>~funny(X)))))& (((~curious(paul)|~happy(paul)))<=>(?[X]:(kind(X))))& ((?[X]:((~wise(X)<~>quiet(X))))=>(?[X]:((~happy(X)|~patient(X)))))& ((?[X]:((funny(X)<~>old(X))))<=>((tall(fred)&~kind(fred))))& (![X]:((~generous(X)&~quiet(X))=>(~patient(X)<~>~calm(X))))& (![X]:(~s...
patient(john)
[ "p5", "p8", "p10", "p20", "p21", "hypothesis" ]
% SZS status Unsatisfiable for 6808011739816989398393065 % SZS output start Proof for 6808011739816989398393065 6. ! [X0] : (~strong(X0) => (~rich(X0) & quiet(X0))) [input p5] 9. ! [X0] : ((~rich(X0) & patient(X0)) <=> ~curious(X0)) [input p8] 11. ? [X0] : (quiet(X0) & ~rich(X0)) <=> ~patient(john) [input p10] 21. quie...
0
If paul is either not tall or wise then someone is not kind. Everyone who is rich is either not curious or funny. Everyone who is both tall and not humble is either not curious or not funny and vice versa. Everyone who is not creative or not tall is either not kind or not quiet and vice versa. If susan is not patient t...
Lucy is not calm.
entailment
(((~tall(paul)<~>wise(paul)))=>(?[X]:(~kind(X))))& (![X]:(rich(X)=>(~curious(X)<~>funny(X))))& (![X]:((tall(X)&~humble(X))<=>(~curious(X)<~>~funny(X))))& (![X]:((~creative(X)|~tall(X))<=>(~kind(X)<~>~quiet(X))))& ((~patient(susan))<=>((~rich(john)|~kind(john))))& (![X]:((creative(X)<~>~old(X))<=>(~brave(X)<~>old(X))))&...
~calm(lucy)
[ "p7", "p10", "p14", "p15", "p19", "hypothesis" ]
% SZS status Unsatisfiable for 6394327873372457768770938 % SZS output start Proof for 6394327873372457768770938 8. ! [X0] : (~calm(X0) <=> (funny(X0) | happy(X0))) [input p7] 11. ! [X0] : ((~patient(X0) <~> patient(X0)) <=> tall(X0)) [input p10] 15. ! [X0] : ((creative(X0) | ~tall(X0)) <=> calm(X0)) [input p14] 16. cre...
0
Everyone who is both wise and humble is creative and vice versa. If someone is not wise then someone is not happy. If someone is not generous or not tall then someone is both funny and calm. Everyone who is not creative is either not creative or not rich. Everyone who is both not rich and brave is wise and vice versa. ...
Mary is old.
entailment
(![X]:((wise(X)&humble(X))<=>creative(X)))& ((?[X]:(~wise(X)))=>(?[X]:(~happy(X))))& ((?[X]:((~generous(X)|~tall(X))))=>(?[X]:((funny(X)&calm(X)))))& (![X]:(~creative(X)=>(~creative(X)<~>~rich(X))))& (![X]:((~rich(X)&brave(X))<=>wise(X)))& (![X]:((~creative(X)|wise(X))=>(~patient(X)&generous(X))))& ((?[X]:((~kind(X)<~>...
old(mary)
[ "p0", "p2", "p3", "p4", "p10", "p12", "p13", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 3698687003312114400774490 % SZS output start Proof for 3698687003312114400774490 1. ! [X0] : ((humble(X0) & wise(X0)) <=> creative(X0)) [input p0] 3. ? [X0] : (~tall(X0) | ~generous(X0)) => ? [X0] : (calm(X0) & funny(X0)) [input p2] 4. ! [X0] : (~creative(X0) => (~creative(X0) <~> ~rich(X...
0
Everyone who is funny or not happy is either not happy or not curious. If someone is either rich or not brave then someone is curious or strong. Everyone who is not humble is both not humble and happy and vice versa. If someone is either not humble or curious then susan is both not curious and humble. Everyone who is s...
Mary is wise.
neutral
(![X]:((funny(X)|~happy(X))=>(~happy(X)<~>~curious(X))))& ((?[X]:((rich(X)<~>~brave(X))))=>(?[X]:((curious(X)|strong(X)))))& (![X]:(~humble(X)<=>(~humble(X)&happy(X))))& ((?[X]:((~humble(X)<~>curious(X))))=>((~curious(susan)&humble(susan))))& (![X]:(strong(X)<=>tall(X)))& (![X]:((~humble(X)|calm(X))<=>(brave(X)<~>quiet...
wise(mary)
[]
null
0
If someone is patient or not patient then someone is both quiet and wise. If someone is either creative or not creative then alice is not patient and vice versa. If someone is creative or brave then lucy is either not rich or patient. Everyone who is not humble is both wise and patient. If susan is not calm then someon...
Susan is patient.
contradiction
((?[X]:((patient(X)|~patient(X))))=>(?[X]:((quiet(X)&wise(X)))))& ((?[X]:((creative(X)<~>~creative(X))))<=>(~patient(alice)))& ((?[X]:((creative(X)|brave(X))))=>((~rich(lucy)<~>patient(lucy))))& (![X]:(~humble(X)=>(wise(X)&patient(X))))& ((~calm(susan))<=>(?[X]:(~quiet(X))))& (![X]:(~curious(X)<=>(~funny(X)|generous(X)...
patient(susan)
[ "p4", "p5", "p8", "p14", "p17", "p19", "hypothesis" ]
% SZS status Unsatisfiable for 6110002878327974129906076 % SZS output start Proof for 6110002878327974129906076 5. ~calm(susan) <=> ? [X0] : ~quiet(X0) [input p4] 6. ! [X0] : (~curious(X0) <=> (generous(X0) | ~funny(X0))) [input p5] 9. ? [X0] : (calm(X0) | ~generous(X0)) => ? [X0] : (~quiet(X0) & creative(X0)) [input p...
0
If someone is both not tall and not creative then someone is either kind or happy. If someone is generous then someone is not funny and vice versa. If paul is not tall or not curious then paul is calm and vice versa. If someone is either patient or old then alice is not curious or quiet and vice versa. If someone is ei...
Susan is funny.
neutral
((?[X]:((~tall(X)&~creative(X))))=>(?[X]:((kind(X)<~>happy(X)))))& ((?[X]:(generous(X)))<=>(?[X]:(~funny(X))))& (((~tall(paul)|~curious(paul)))<=>(calm(paul)))& ((?[X]:((patient(X)<~>old(X))))<=>((~curious(alice)|quiet(alice))))& ((?[X]:((~kind(X)<~>brave(X))))=>((~old(susan)&~funny(susan))))& (![X]:((tall(X)|calm(X))=...
funny(susan)
[]
null
0
If someone is either not funny or funny then someone is both quiet and not strong and vice versa. Everyone who is not rich or not wise is either not tall or generous and vice versa. Everyone who is either humble or not humble is old and vice versa. If someone is both generous and strong then someone is either not gener...
Alice is happy.
entailment
((?[X]:((~funny(X)<~>funny(X))))<=>(?[X]:((quiet(X)&~strong(X)))))& (![X]:((~rich(X)|~wise(X))<=>(~tall(X)<~>generous(X))))& (![X]:((humble(X)<~>~humble(X))<=>old(X)))& ((?[X]:((generous(X)&strong(X))))<=>(?[X]:((~generous(X)<~>~wise(X)))))& ((?[X]:((humble(X)|~creative(X))))<=>(~tall(alice)))& ((?[X]:(funny(X)))<=>(?[...
happy(alice)
[ "p2", "p4", "p15", "p18", "hypothesis" ]
% SZS status Unsatisfiable for 8385133658436726522165127 % SZS output start Proof for 8385133658436726522165127 3. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> old(X0)) [input p2] 5. ? [X0] : (~creative(X0) | humble(X0)) <=> ~tall(alice) [input p4] 16. ! [X0] : ((~tall(X0) <~> happy(X0)) => (wise(X0) & happy(X0))) [input...
0
Everyone who is not creative or not calm is either quiet or wise and vice versa. Everyone who is either wise or not brave is both tall and not calm and vice versa. Everyone who is not funny or not patient is kind or brave. Everyone who is creative or strong is either not strong or brave and vice versa. Everyone who is ...
Susan is funny.
neutral
(![X]:((~creative(X)|~calm(X))<=>(quiet(X)<~>wise(X))))& (![X]:((wise(X)<~>~brave(X))<=>(tall(X)&~calm(X))))& (![X]:((~funny(X)|~patient(X))=>(kind(X)|brave(X))))& (![X]:((creative(X)|strong(X))<=>(~strong(X)<~>brave(X))))& (![X]:(~quiet(X)<=>(tall(X)<~>~happy(X))))& (((funny(alice)<~>rich(alice)))<=>((old(alice)|brave...
funny(susan)
[]
null
0
Everyone who is either not calm or creative is both not generous and funny. Everyone who is rich is both not tall and not calm. If someone is not strong or strong then someone is both happy and not tall and vice versa. If someone is generous or not humble then john is both not creative and not quiet and vice versa. If ...
Mary is funny.
entailment
(![X]:((~calm(X)<~>creative(X))=>(~generous(X)&funny(X))))& (![X]:(rich(X)=>(~tall(X)&~calm(X))))& ((?[X]:((~strong(X)|strong(X))))<=>(?[X]:((happy(X)&~tall(X)))))& ((?[X]:((generous(X)|~humble(X))))<=>((~creative(john)&~quiet(john))))& (((~old(alice)<~>~humble(alice)))<=>((funny(lucy)|~quiet(lucy))))& (![X]:((~patient...
funny(mary)
[ "p0", "p1", "p5", "p13", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 6569127695641597604440271 % SZS output start Proof for 6569127695641597604440271 1. ! [X0] : ((~calm(X0) <~> creative(X0)) => (funny(X0) & ~generous(X0))) [input p0] 2. ! [X0] : (rich(X0) => (~calm(X0) & ~tall(X0))) [input p1] 6. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (quiet(X0) | curiou...
0
If alice is wise then fred is happy or not tall and vice versa. Everyone who is strong is brave. Everyone who is not humble or quiet is not brave or not quiet. Everyone who is humble or calm is brave or not generous and vice versa. Everyone who is both patient and not calm is kind and vice versa. If someone is either n...
Fred is not brave.
contradiction
((wise(alice))<=>((happy(fred)|~tall(fred))))& (![X]:(strong(X)=>brave(X)))& (![X]:((~humble(X)|quiet(X))=>(~brave(X)|~quiet(X))))& (![X]:((humble(X)|calm(X))<=>(brave(X)|~generous(X))))& (![X]:((patient(X)&~calm(X))<=>kind(X)))& ((?[X]:((~wise(X)<~>happy(X))))=>(~quiet(susan)))& ((?[X]:((humble(X)&creative(X))))<=>((r...
~brave(fred)
[ "p3", "p4", "p7", "p16", "hypothesis" ]
% SZS status Unsatisfiable for 7156831147762597022229330 % SZS output start Proof for 7156831147762597022229330 4. ! [X0] : ((calm(X0) | humble(X0)) <=> (~generous(X0) | brave(X0))) [input p3] 5. ! [X0] : ((~calm(X0) & patient(X0)) <=> kind(X0)) [input p4] 8. ! [X0] : ((~calm(X0) | ~old(X0)) => (happy(X0) & brave(X0)))...
0
Everyone who is not tall or not strong is both not curious and not funny. If john is both old and calm then someone is not kind or kind and vice versa. Everyone who is creative is not humble and vice versa. If mary is either funny or not tall then someone is both funny and old. If someone is both not calm and not wise ...
Alice is happy.
entailment
(![X]:((~tall(X)|~strong(X))=>(~curious(X)&~funny(X))))& (((old(john)&calm(john)))<=>(?[X]:((~kind(X)|kind(X)))))& (![X]:(creative(X)<=>~humble(X)))& (((funny(mary)<~>~tall(mary)))=>(?[X]:((funny(X)&old(X)))))& ((?[X]:((~calm(X)&~wise(X))))<=>(?[X]:((~patient(X)<~>~calm(X)))))& (![X]:((strong(X)<~>wise(X))=>(funny(X)<~...
happy(alice)
[ "p2", "p8", "p10", "p11", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 8749406187545059180594825 % SZS output start Proof for 8749406187545059180594825 3. ! [X0] : (creative(X0) <=> ~humble(X0)) [input p2] 9. ! [X0] : (curious(X0) => (curious(X0) & kind(X0))) [input p8] 11. ? [X0] : ~brave(X0) => (~curious(paul) | ~kind(paul)) [input p10] 12. ! [X0] : (~humb...
0
Everyone who is either not funny or quiet is not strong or not tall. If someone is happy then someone is wise and vice versa. If fred is rich or brave then someone is either kind or not calm and vice versa. Everyone who is not funny or creative is both not quiet and kind. Everyone who is either curious or happy is eith...
Mary is not rich.
contradiction
(![X]:((~funny(X)<~>quiet(X))=>(~strong(X)|~tall(X))))& ((?[X]:(happy(X)))<=>(?[X]:(wise(X))))& (((rich(fred)|brave(fred)))<=>(?[X]:((kind(X)<~>~calm(X)))))& (![X]:((~funny(X)|creative(X))=>(~quiet(X)&kind(X))))& (![X]:((curious(X)<~>happy(X))=>(~humble(X)<~>creative(X))))& (((funny(mary)|quiet(mary)))<=>(?[X]:((~kind(...
~rich(mary)
[ "p3", "p5", "p6", "p7", "p8", "p9", "p11", "p12", "p13", "p17", "hypothesis" ]
% SZS status Unsatisfiable for 673493377934858609555722 % SZS output start Proof for 673493377934858609555722 4. ! [X0] : ((creative(X0) | ~funny(X0)) => (kind(X0) & ~quiet(X0))) [input p3] 6. (quiet(mary) | funny(mary)) <=> ? [X0] : (old(X0) & ~kind(X0)) [input p5] 7. ? [X0] : tall(X0) <=> (~patient(alice) & brave(ali...
0
Everyone who is not calm is not funny or not patient and vice versa. If john is either not quiet or not patient then lucy is tall or not tall and vice versa. If someone is not brave then fred is not rich or not wise. If fred is calm or tall then someone is both wise and calm and vice versa. If susan is both quiet and n...
Susan is not wise.
neutral
(![X]:(~calm(X)<=>(~funny(X)|~patient(X))))& (((~quiet(john)<~>~patient(john)))<=>((tall(lucy)|~tall(lucy))))& ((?[X]:(~brave(X)))=>((~rich(fred)|~wise(fred))))& (((calm(fred)|tall(fred)))<=>(?[X]:((wise(X)&calm(X)))))& (((quiet(susan)&~quiet(susan)))=>(?[X]:((~strong(X)&curious(X)))))& ((?[X]:((generous(X)|funny(X))))...
~wise(susan)
[]
null
0
If mary is not humble or funny then john is not quiet and vice versa. If someone is both not humble and not rich then alice is either not old or not calm. Everyone who is both not quiet and not kind is not rich or generous. Everyone who is not tall is both kind and not generous. If someone is curious or creative then s...
Fred is brave.
neutral
(((~humble(mary)|funny(mary)))<=>(~quiet(john)))& ((?[X]:((~humble(X)&~rich(X))))=>((~old(alice)<~>~calm(alice))))& (![X]:((~quiet(X)&~kind(X))=>(~rich(X)|generous(X))))& (![X]:(~tall(X)=>(kind(X)&~generous(X))))& ((?[X]:((curious(X)|creative(X))))<=>(?[X]:(quiet(X))))& ((rich(john))<=>(?[X]:((strong(X)|funny(X)))))& (...
brave(fred)
[]
null
0
If someone is either not rich or calm then someone is tall and vice versa. Everyone who is not funny is creative and vice versa. Everyone who is either brave or kind is not tall. If mary is not calm or patient then someone is both not brave and not strong. Everyone who is not curious is not generous or not old and vice...
Susan is creative.
contradiction
((?[X]:((~rich(X)<~>calm(X))))<=>(?[X]:(tall(X))))& (![X]:(~funny(X)<=>creative(X)))& (![X]:((brave(X)<~>kind(X))=>~tall(X)))& (((~calm(mary)|patient(mary)))=>(?[X]:((~brave(X)&~strong(X)))))& (![X]:(~curious(X)<=>(~generous(X)|~old(X))))& (((~happy(mary)&~brave(mary)))<=>(~patient(fred)))& (![X]:((~curious(X)|~wise(X)...
creative(susan)
[ "p1", "p4", "p6", "p9", "p16", "p17", "hypothesis" ]
% SZS status Unsatisfiable for 1933632664409750507164638 % SZS output start Proof for 1933632664409750507164638 2. ! [X0] : (~funny(X0) <=> creative(X0)) [input p1] 5. ! [X0] : (~curious(X0) <=> (~old(X0) | ~generous(X0))) [input p4] 7. ! [X0] : ((~wise(X0) | ~curious(X0)) => (~patient(X0) & curious(X0))) [input p6] 10...
0
If someone is both not generous and not curious then susan is humble and vice versa. Everyone who is not wise is both not rich and not brave and vice versa. Everyone who is not creative is not kind or brave and vice versa. If someone is both creative and curious then someone is rich or not strong. If paul is funny then...
Susan is not wise.
contradiction
((?[X]:((~generous(X)&~curious(X))))<=>(humble(susan)))& (![X]:(~wise(X)<=>(~rich(X)&~brave(X))))& (![X]:(~creative(X)<=>(~kind(X)|brave(X))))& ((?[X]:((creative(X)&curious(X))))=>(?[X]:((rich(X)|~strong(X)))))& ((funny(paul))=>((patient(fred)<~>~wise(fred))))& (![X]:((~brave(X)&creative(X))<=>(~humble(X)<~>creative(X)...
~wise(susan)
[ "p1", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 5218644454902944158441632 % SZS output start Proof for 5218644454902944158441632 2. ! [X0] : (~wise(X0) <=> (~brave(X0) & ~rich(X0))) [input p1] 14. ! [X0] : ((tall(X0) | ~rich(X0)) <=> (~kind(X0) & wise(X0))) [input p13] 25. ~wise(susan) [input hypothesis] 35. ! [X0] : ((~wise(X0) | (bra...
0
Everyone who is not strong or not calm is creative and vice versa. If someone is tall then someone is funny or rich and vice versa. Everyone who is both not quiet and wise is not tall. If someone is not curious or wise then susan is creative. Everyone who is either kind or not humble is either not calm or creative and ...
Paul is humble.
neutral
(![X]:((~strong(X)|~calm(X))<=>creative(X)))& ((?[X]:(tall(X)))<=>(?[X]:((funny(X)|rich(X)))))& (![X]:((~quiet(X)&wise(X))=>~tall(X)))& ((?[X]:((~curious(X)|wise(X))))=>(creative(susan)))& (![X]:((kind(X)<~>~humble(X))<=>(~calm(X)<~>creative(X))))& (![X]:((~brave(X)<~>~strong(X))<=>calm(X)))& (((~humble(paul)<~>~rich(p...
humble(paul)
[]
null
0
If someone is either not tall or kind then someone is strong and vice versa. Everyone who is not kind is not rich. Everyone who is tall or not calm is both not happy and kind. Everyone who is not old is either not rich or not humble. If susan is either tall or not old then susan is either generous or strong and vice ve...
John is strong.
entailment
((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:(strong(X))))& (![X]:(~kind(X)=>~rich(X)))& (![X]:((tall(X)|~calm(X))=>(~happy(X)&kind(X))))& (![X]:(~old(X)=>(~rich(X)<~>~humble(X))))& (((tall(susan)<~>~old(susan)))<=>((generous(susan)<~>strong(susan))))& ((quiet(fred))<=>(?[X]:((~strong(X)<~>patient(X)))))& ((?[X]:((quiet(X)<~...
strong(john)
[ "p2", "p8", "p9", "p11", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 2241483703446875089753248 % SZS output start Proof for 2241483703446875089753248 3. ! [X0] : ((~calm(X0) | tall(X0)) => (kind(X0) & ~happy(X0))) [input p2] 9. ! [X0] : ((~happy(X0) | ~kind(X0)) => ~calm(X0)) [input p8] 10. ! [X0] : ((patient(X0) & ~tall(X0)) <=> (tall(X0) & creative(X0)))...
0
If susan is both not kind and not creative then lucy is either tall or kind. Everyone who is strong or tall is either not tall or quiet and vice versa. Everyone who is either not creative or not strong is both not curious and funny. If john is either kind or generous then paul is both calm and not generous. Everyone wh...
Paul is not generous.
neutral
(((~kind(susan)&~creative(susan)))=>((tall(lucy)<~>kind(lucy))))& (![X]:((strong(X)|tall(X))<=>(~tall(X)<~>quiet(X))))& (![X]:((~creative(X)<~>~strong(X))=>(~curious(X)&funny(X))))& (((kind(john)<~>generous(john)))=>((calm(paul)&~generous(paul))))& (![X]:(~rich(X)=>funny(X)))& ((~humble(fred))<=>((old(alice)&~tall(alic...
~generous(paul)
[]
null
0
Everyone who is tall is either not old or not rich and vice versa. If someone is tall or not wise then paul is both not old and not curious and vice versa. Everyone who is either not funny or rich is either not happy or not rich and vice versa. Everyone who is not funny or old is patient or not tall. If alice is either...
Paul is not old.
entailment
(![X]:(tall(X)<=>(~old(X)<~>~rich(X))))& ((?[X]:((tall(X)|~wise(X))))<=>((~old(paul)&~curious(paul))))& (![X]:((~funny(X)<~>rich(X))<=>(~happy(X)<~>~rich(X))))& (![X]:((~funny(X)|old(X))=>(patient(X)|~tall(X))))& (((tall(alice)<~>~patient(alice)))=>(?[X]:(~creative(X))))& (((humble(alice)<~>~calm(alice)))=>(?[X]:((funn...
~old(paul)
[ "p12", "hypothesis" ]
% SZS status Unsatisfiable for 5381768533793486911367121 % SZS output start Proof for 5381768533793486911367121 13. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (~old(X0) & ~creative(X0))) [input p12] 25. old(paul) [input hypothesis] 37. ! [X0] : ((~old(X0) & ~creative(X0)) | (quiet(X0) <=> ~quiet(X0))) [ennf transformation...
0
Everyone who is not tall is both patient and generous. Everyone who is patient is rich or not wise and vice versa. If fred is both funny and not patient then lucy is tall and vice versa. Everyone who is strong or not humble is not quiet or not generous and vice versa. If susan is both happy and not generous then someon...
Fred is not wise.
contradiction
(![X]:(~tall(X)=>(patient(X)&generous(X))))& (![X]:(patient(X)<=>(rich(X)|~wise(X))))& (((funny(fred)&~patient(fred)))<=>(tall(lucy)))& (![X]:((strong(X)|~humble(X))<=>(~quiet(X)|~generous(X))))& (((happy(susan)&~generous(susan)))<=>(?[X]:((~humble(X)|patient(X)))))& (![X]:(~tall(X)=>(happy(X)&~wise(X))))& ((quiet(lucy...
~wise(fred)
[ "p1", "p2", "p13", "p15", "p16", "hypothesis" ]
% SZS status Unsatisfiable for 3222225679655591210931469 % SZS output start Proof for 3222225679655591210931469 2. ! [X0] : (patient(X0) <=> (~wise(X0) | rich(X0))) [input p1] 3. (~patient(fred) & funny(fred)) <=> tall(lucy) [input p2] 14. ! [X0] : (quiet(X0) <=> (~tall(X0) | ~kind(X0))) [input p13] 16. ~quiet(lucy) <=...
0
Everyone who is either not brave or strong is both not brave and not rich and vice versa. If paul is not generous then lucy is either quiet or not calm and vice versa. Everyone who is funny is either not calm or not rich and vice versa. Everyone who is generous or patient is both not calm and not generous. If someone i...
Paul is not strong.
neutral
(![X]:((~brave(X)<~>strong(X))<=>(~brave(X)&~rich(X))))& ((~generous(paul))<=>((quiet(lucy)<~>~calm(lucy))))& (![X]:(funny(X)<=>(~calm(X)<~>~rich(X))))& (![X]:((generous(X)|patient(X))=>(~calm(X)&~generous(X))))& ((?[X]:((~calm(X)|~humble(X))))<=>(?[X]:(tall(X))))& (![X]:((~tall(X)&~brave(X))=>(brave(X)|~rich(X))))& ((...
~strong(paul)
[]
null
0
Everyone who is curious or not tall is quiet or kind. If mary is not kind then someone is either not wise or not calm and vice versa. Everyone who is not strong or not humble is either generous or not happy. Everyone who is generous is both old and generous and vice versa. If susan is both not patient and quiet then so...
Susan is not patient.
neutral
(![X]:((curious(X)|~tall(X))=>(quiet(X)|kind(X))))& ((~kind(mary))<=>(?[X]:((~wise(X)<~>~calm(X)))))& (![X]:((~strong(X)|~humble(X))=>(generous(X)<~>~happy(X))))& (![X]:(generous(X)<=>(old(X)&generous(X))))& (((~patient(susan)&quiet(susan)))=>(?[X]:(creative(X))))& (![X]:(~brave(X)<=>(creative(X)|~old(X))))& ((?[X]:((o...
~patient(susan)
[]
null
0
Everyone who is either not rich or not happy is not creative and vice versa. Everyone who is happy or patient is either patient or not rich and vice versa. If paul is happy then lucy is strong or not kind. If someone is not patient or not quiet then alice is both not kind and not creative. If paul is not happy then som...
Alice is happy.
contradiction
(![X]:((~rich(X)<~>~happy(X))<=>~creative(X)))& (![X]:((happy(X)|patient(X))<=>(patient(X)<~>~rich(X))))& ((happy(paul))=>((strong(lucy)|~kind(lucy))))& ((?[X]:((~patient(X)|~quiet(X))))=>((~kind(alice)&~creative(alice))))& ((~happy(paul))<=>(?[X]:((humble(X)|~creative(X)))))& (![X]:((patient(X)&~happy(X))<=>funny(X)))...
happy(alice)
[ "p3", "p5", "p7", "p13", "p17", "hypothesis" ]
% SZS status Unsatisfiable for 7632283065168246353995103 % SZS output start Proof for 7632283065168246353995103 4. ? [X0] : (~quiet(X0) | ~patient(X0)) => (~creative(alice) & ~kind(alice)) [input p3] 6. ! [X0] : ((~happy(X0) & patient(X0)) <=> funny(X0)) [input p5] 8. ! [X0] : ((~funny(X0) | ~quiet(X0)) => (~happy(X0) ...
0
If someone is not rich then someone is either not patient or wise. Everyone who is not curious is not wise or happy and vice versa. Everyone who is not wise is not quiet or not happy and vice versa. Everyone who is patient or not patient is both generous and funny. Everyone who is both patient and not strong is not cre...
Alice is not quiet.
entailment
((?[X]:(~rich(X)))=>(?[X]:((~patient(X)<~>wise(X)))))& (![X]:(~curious(X)<=>(~wise(X)|happy(X))))& (![X]:(~wise(X)<=>(~quiet(X)|~happy(X))))& (![X]:((patient(X)|~patient(X))=>(generous(X)&funny(X))))& (![X]:((patient(X)&~strong(X))<=>(~creative(X)|~kind(X))))& (((~kind(lucy)&~generous(lucy)))<=>(?[X]:((~patient(X)|crea...
~quiet(alice)
[ "p3", "p5", "p8", "p9", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 5118358158329848089320136 % SZS output start Proof for 5118358158329848089320136 4. ! [X0] : ((~patient(X0) | patient(X0)) => (funny(X0) & generous(X0))) [input p3] 6. (~generous(lucy) & ~kind(lucy)) <=> ? [X0] : (creative(X0) | ~patient(X0)) [input p5] 9. ! [X0] : ((~brave(X0) <~> kind(X...
0
Everyone who is both tall and happy is either not rich or strong. Everyone who is creative or rich is not wise or rich and vice versa. Everyone who is not rich is either not strong or happy and vice versa. Everyone who is either not creative or wise is both kind and not brave. Everyone who is both generous and happy is...
Susan is wise.
neutral
(![X]:((tall(X)&happy(X))=>(~rich(X)<~>strong(X))))& (![X]:((creative(X)|rich(X))<=>(~wise(X)|rich(X))))& (![X]:(~rich(X)<=>(~strong(X)<~>happy(X))))& (![X]:((~creative(X)<~>wise(X))=>(kind(X)&~brave(X))))& (![X]:((generous(X)&happy(X))<=>(~brave(X)&patient(X))))& (![X]:(curious(X)=>creative(X)))& (![X]:(~old(X)<=>kind...
wise(susan)
[]
null
0
Everyone who is not wise or old is tall or creative and vice versa. Everyone who is not old or not curious is not humble. If susan is not brave or not generous then alice is both not tall and calm. Everyone who is both patient and brave is patient or not humble and vice versa. If someone is either happy or quiet then l...
Paul is quiet.
neutral
(![X]:((~wise(X)|old(X))<=>(tall(X)|creative(X))))& (![X]:((~old(X)|~curious(X))=>~humble(X)))& (((~brave(susan)|~generous(susan)))=>((~tall(alice)&calm(alice))))& (![X]:((patient(X)&brave(X))<=>(patient(X)|~humble(X))))& ((?[X]:((happy(X)<~>quiet(X))))<=>((~curious(lucy)&~humble(lucy))))& (![X]:((kind(X)&~wise(X))<=>(...
quiet(paul)
[]
null
0
Everyone who is humble or not creative is not calm. Everyone who is happy or not rich is either not generous or creative. Everyone who is both not generous and wise is curious or not happy and vice versa. Everyone who is not tall is either strong or not tall. Everyone who is both not curious and brave is not kind or no...
John is not curious.
contradiction
(![X]:((humble(X)|~creative(X))=>~calm(X)))& (![X]:((happy(X)|~rich(X))=>(~generous(X)<~>creative(X))))& (![X]:((~generous(X)&wise(X))<=>(curious(X)|~happy(X))))& (![X]:(~tall(X)=>(strong(X)<~>~tall(X))))& (![X]:((~curious(X)&brave(X))<=>(~kind(X)|~curious(X))))& (![X]:(kind(X)=>old(X)))& ((quiet(john))<=>(?[X]:((~wise...
~curious(john)
[ "p0", "p1", "p2", "p4", "p5", "p6", "p8", "p9", "p11", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 6718987203523588543275104 % SZS output start Proof for 6718987203523588543275104 1. ! [X0] : ((~creative(X0) | humble(X0)) => ~calm(X0)) [input p0] 2. ! [X0] : ((~rich(X0) | happy(X0)) => (~generous(X0) <~> creative(X0))) [input p1] 3. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (~happy(X0) ...
0
If someone is both not tall and not humble then paul is funny or not tall. If someone is both not wise and brave then alice is either rich or generous and vice versa. Everyone who is both not generous and not tall is either quiet or not generous and vice versa. Everyone who is wise or tall is not brave and vice versa. ...
Paul is wise.
neutral
((?[X]:((~tall(X)&~humble(X))))=>((funny(paul)|~tall(paul))))& ((?[X]:((~wise(X)&brave(X))))<=>((rich(alice)<~>generous(alice))))& (![X]:((~generous(X)&~tall(X))<=>(quiet(X)<~>~generous(X))))& (![X]:((wise(X)|tall(X))<=>~brave(X)))& (![X]:((tall(X)&~rich(X))<=>(kind(X)&quiet(X))))& (![X]:((~happy(X)&strong(X))<=>old(X)...
wise(paul)
[]
null
0
If susan is either not brave or not funny then someone is creative or strong. If someone is both tall and not rich then alice is old or not calm and vice versa. Everyone who is not wise is either quiet or funny and vice versa. If john is either not rich or rich then someone is creative and vice versa. If someone is eit...
John is curious.
contradiction
(((~brave(susan)<~>~funny(susan)))=>(?[X]:((creative(X)|strong(X)))))& ((?[X]:((tall(X)&~rich(X))))<=>((old(alice)|~calm(alice))))& (![X]:(~wise(X)<=>(quiet(X)<~>funny(X))))& (((~rich(john)<~>rich(john)))<=>(?[X]:(creative(X))))& ((?[X]:((~funny(X)<~>tall(X))))=>((~funny(john)|generous(john))))& (![X]:((~funny(X)|~kind...
curious(john)
[ "p5", "p8", "p9", "p12", "p22", "hypothesis" ]
% SZS status Unsatisfiable for 8459611485817882808968063 % SZS output start Proof for 8459611485817882808968063 6. ! [X0] : ((~kind(X0) | ~funny(X0)) => strong(X0)) [input p5] 9. ! [X0] : (curious(X0) => (~brave(X0) & ~kind(X0))) [input p8] 10. ! [X0] : ((curious(X0) | wise(X0)) => (humble(X0) <~> ~funny(X0))) [input p...
0
If alice is old then lucy is kind and vice versa. If someone is not calm or not happy then someone is either strong or not old and vice versa. If someone is not brave then someone is humble and vice versa. If someone is either wise or not strong then someone is calm or rich. Everyone who is not rich is not rich or happ...
Fred is not creative.
contradiction
((old(alice))<=>(kind(lucy)))& ((?[X]:((~calm(X)|~happy(X))))<=>(?[X]:((strong(X)<~>~old(X)))))& ((?[X]:(~brave(X)))<=>(?[X]:(humble(X))))& ((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:((calm(X)|rich(X)))))& (![X]:(~rich(X)<=>(~rich(X)|happy(X))))& (![X]:(~generous(X)<=>(curious(X)<~>~curious(X))))& (![X]:((rich(X)<~>~calm(...
~creative(fred)
[ "p2", "p4", "p5", "p7", "p9", "p11", "p12", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 6428701683208277165636174 % SZS output start Proof for 6428701683208277165636174 3. ? [X0] : ~brave(X0) <=> ? [X0] : humble(X0) [input p2] 5. ! [X0] : (~rich(X0) <=> (happy(X0) | ~rich(X0))) [input p4] 6. ! [X0] : (~generous(X0) <=> (curious(X0) <~> ~curious(X0))) [input p5] 8. ! [X0] : (...
0
If john is both old and not wise then mary is both rich and not calm and vice versa. Everyone who is either not old or not happy is not brave and vice versa. Everyone who is calm or strong is both quiet and curious and vice versa. Everyone who is both not strong and not kind is not happy or quiet. Everyone who is both ...
Susan is not rich.
entailment
(((old(john)&~wise(john)))<=>((rich(mary)&~calm(mary))))& (![X]:((~old(X)<~>~happy(X))<=>~brave(X)))& (![X]:((calm(X)|strong(X))<=>(quiet(X)&curious(X))))& (![X]:((~strong(X)&~kind(X))=>(~happy(X)|quiet(X))))& (![X]:((quiet(X)&~tall(X))=>(generous(X)|calm(X))))& (![X]:(calm(X)<=>(~funny(X)<~>~old(X))))& (![X]:((patient...
~rich(susan)
[ "p2", "p5", "p6", "p7", "p8", "p9", "p13", "p14", "hypothesis" ]
% SZS status Unsatisfiable for 4324480982068764813612828 % SZS output start Proof for 4324480982068764813612828 3. ! [X0] : ((strong(X0) | calm(X0)) <=> (curious(X0) & quiet(X0))) [input p2] 6. ! [X0] : (calm(X0) <=> (~funny(X0) <~> ~old(X0))) [input p5] 7. ! [X0] : ((humble(X0) | patient(X0)) => (funny(X0) <~> humble(...
0
Everyone who is either not patient or calm is not kind or not rich. Everyone who is either creative or wise is either old or not brave. If fred is either not old or wise then someone is both not humble and not happy. Everyone who is quiet or not brave is not funny and vice versa. Everyone who is either not creative or ...
Fred is strong.
neutral
(![X]:((~patient(X)<~>calm(X))=>(~kind(X)|~rich(X))))& (![X]:((creative(X)<~>wise(X))=>(old(X)<~>~brave(X))))& (((~old(fred)<~>wise(fred)))=>(?[X]:((~humble(X)&~happy(X)))))& (![X]:((quiet(X)|~brave(X))<=>~funny(X)))& (![X]:((~creative(X)<~>~quiet(X))<=>(calm(X)<~>~rich(X))))& (![X]:((patient(X)<~>creative(X))<=>(quiet...
strong(fred)
[]
null
0
Everyone who is either not curious or wise is both funny and not humble and vice versa. Everyone who is tall or brave is not kind. If someone is either generous or kind then alice is either strong or not strong. Everyone who is calm is funny. Everyone who is funny or not wise is either wise or quiet. Everyone who is ei...
John is humble.
entailment
(![X]:((~curious(X)<~>wise(X))<=>(funny(X)&~humble(X))))& (![X]:((tall(X)|brave(X))=>~kind(X)))& ((?[X]:((generous(X)<~>kind(X))))=>((strong(alice)<~>~strong(alice))))& (![X]:(calm(X)=>funny(X)))& (![X]:((funny(X)|~wise(X))=>(wise(X)<~>quiet(X))))& (![X]:((brave(X)<~>old(X))<=>(humble(X)|~tall(X))))& (![X]:((tall(X)<~>...
humble(john)
[ "p9", "p15", "p20", "hypothesis" ]
% SZS status Unsatisfiable for 2189352356412906670306566 % SZS output start Proof for 2189352356412906670306566 10. ! [X0] : ((~generous(X0) & strong(X0)) => ~tall(X0)) [input p9] 16. ! [X0] : ((~generous(X0) & strong(X0)) <=> (wise(X0) | ~humble(X0))) [input p15] 21. tall(john) & ~old(john) [input p20] 25. ~humble(joh...
0
Everyone who is patient is strong or curious. Everyone who is tall is either rich or not quiet and vice versa. If someone is generous or humble then someone is creative or wise. If someone is either strong or patient then someone is tall or not happy and vice versa. Everyone who is not old or brave is old. Everyone who...
Susan is not wise.
neutral
(![X]:(patient(X)=>(strong(X)|curious(X))))& (![X]:(tall(X)<=>(rich(X)<~>~quiet(X))))& ((?[X]:((generous(X)|humble(X))))=>(?[X]:((creative(X)|wise(X)))))& ((?[X]:((strong(X)<~>patient(X))))<=>(?[X]:((tall(X)|~happy(X)))))& (![X]:((~old(X)|brave(X))=>old(X)))& (![X]:((~rich(X)|happy(X))=>tall(X)))& ((?[X]:(humble(X)))<=...
~wise(susan)
[]
null
0
Everyone who is both not wise and not old is both not wise and brave. Everyone who is both not funny and not calm is quiet and vice versa. If susan is not humble then lucy is both rich and calm and vice versa. Everyone who is either not quiet or rich is either not funny or not wise. Everyone who is both not rich and ki...
Alice is not quiet.
neutral
(![X]:((~wise(X)&~old(X))=>(~wise(X)&brave(X))))& (![X]:((~funny(X)&~calm(X))<=>quiet(X)))& ((~humble(susan))<=>((rich(lucy)&calm(lucy))))& (![X]:((~quiet(X)<~>rich(X))=>(~funny(X)<~>~wise(X))))& (![X]:((~rich(X)&kind(X))=>~generous(X)))& (![X]:((wise(X)&patient(X))=>(~generous(X)<~>~tall(X))))& (((~calm(john)<~>creati...
~quiet(alice)
[]
null
0
If paul is either old or not creative then lucy is both not kind and not curious. Everyone who is both not kind and not funny is both quiet and calm and vice versa. Everyone who is either not brave or calm is either not curious or not happy and vice versa. If someone is not quiet then fred is rich or not brave. Everyon...
Alice is not quiet.
entailment
(((old(paul)<~>~creative(paul)))=>((~kind(lucy)&~curious(lucy))))& (![X]:((~kind(X)&~funny(X))<=>(quiet(X)&calm(X))))& (![X]:((~brave(X)<~>calm(X))<=>(~curious(X)<~>~happy(X))))& ((?[X]:(~quiet(X)))=>((rich(fred)|~brave(fred))))& (![X]:((calm(X)<~>~brave(X))=>tall(X)))& (![X]:((~rich(X)|~generous(X))<=>(humble(X)&old(X...
~quiet(alice)
[ "p5", "p8", "p9", "p10", "hypothesis" ]
% SZS status Unsatisfiable for 3159307527197049521566147 % SZS output start Proof for 3159307527197049521566147 6. ! [X0] : ((~generous(X0) | ~rich(X0)) <=> (old(X0) & humble(X0))) [input p5] 9. ! [X0] : ((~quiet(X0) | generous(X0)) => humble(X0)) [input p8] 10. ! [X0] : ((humble(X0) | curious(X0)) <=> (~rich(X0) & ~br...
0
If someone is both brave and happy then lucy is not kind or not happy and vice versa. Everyone who is both happy and rich is either happy or generous. If alice is creative or not quiet then lucy is not quiet. If fred is both not old and not rich then someone is brave and vice versa. Everyone who is both not generous an...
Lucy is kind.
entailment
((?[X]:((brave(X)&happy(X))))<=>((~kind(lucy)|~happy(lucy))))& (![X]:((happy(X)&rich(X))=>(happy(X)<~>generous(X))))& (((creative(alice)|~quiet(alice)))=>(~quiet(lucy)))& (((~old(fred)&~rich(fred)))<=>(?[X]:(brave(X))))& (![X]:((~generous(X)&wise(X))<=>(~generous(X)<~>~patient(X))))& ((?[X]:((~strong(X)|kind(X))))=>(~r...
kind(lucy)
[ "p0", "p8", "p10", "p13", "hypothesis" ]
% SZS status Unsatisfiable for 6094412203747221812427328 % SZS output start Proof for 6094412203747221812427328 1. ? [X0] : (happy(X0) & brave(X0)) <=> (~happy(lucy) | ~kind(lucy)) [input p0] 9. ! [X0] : ((funny(X0) & ~brave(X0)) <=> ~creative(X0)) [input p8] 11. ! [X0] : (brave(X0) <=> (~tall(X0) <~> ~creative(X0))) [...
0
Everyone who is either brave or not quiet is both not tall and old and vice versa. Everyone who is both rich and not quiet is calm or rich and vice versa. Everyone who is not strong or rich is not creative. Everyone who is not tall is either quiet or curious. If alice is not tall then alice is not kind and vice versa. ...
Paul is not tall.
neutral
(![X]:((brave(X)<~>~quiet(X))<=>(~tall(X)&old(X))))& (![X]:((rich(X)&~quiet(X))<=>(calm(X)|rich(X))))& (![X]:((~strong(X)|rich(X))=>~creative(X)))& (![X]:(~tall(X)=>(quiet(X)<~>curious(X))))& ((~tall(alice))<=>(~kind(alice)))& (![X]:((humble(X)&~strong(X))<=>(generous(X)|calm(X))))& (![X]:((~old(X)&~generous(X))<=>(hap...
~tall(paul)
[]
null
0
If fred is either quiet or calm then someone is either calm or brave and vice versa. Everyone who is not happy or not strong is either not calm or not brave. If someone is either kind or not old then lucy is either not old or rich and vice versa. Everyone who is tall or not calm is not calm or not quiet and vice versa....
Alice is not funny.
neutral
(((quiet(fred)<~>calm(fred)))<=>(?[X]:((calm(X)<~>brave(X)))))& (![X]:((~happy(X)|~strong(X))=>(~calm(X)<~>~brave(X))))& ((?[X]:((kind(X)<~>~old(X))))<=>((~old(lucy)<~>rich(lucy))))& (![X]:((tall(X)|~calm(X))<=>(~calm(X)|~quiet(X))))& (((kind(alice)<~>strong(alice)))<=>(?[X]:(curious(X))))& (![X]:((~patient(X)<~>happy(...
~funny(alice)
[]
null
0
If someone is both humble and creative then susan is rich. If someone is tall then fred is not calm or not funny. If someone is either funny or not happy then someone is not generous or curious and vice versa. Everyone who is not strong is not patient. If someone is happy or humble then paul is not rich and vice versa....
Fred is not strong.
entailment
((?[X]:((humble(X)&creative(X))))=>(rich(susan)))& ((?[X]:(tall(X)))=>((~calm(fred)|~funny(fred))))& ((?[X]:((funny(X)<~>~happy(X))))<=>(?[X]:((~generous(X)|curious(X)))))& (![X]:(~strong(X)=>~patient(X)))& ((?[X]:((happy(X)|humble(X))))<=>(~rich(paul)))& ((~tall(mary))=>(?[X]:((~humble(X)|kind(X)))))& ((?[X]:((humble(...
~strong(fred)
[ "p7", "p9", "p12", "p13", "p15", "hypothesis" ]
% SZS status Unsatisfiable for 8923330611421215135304814 % SZS output start Proof for 8923330611421215135304814 8. ! [X0] : (~wise(X0) => (generous(X0) & ~humble(X0))) [input p7] 10. ! [X0] : ((~humble(X0) | happy(X0)) => (~generous(X0) <~> wise(X0))) [input p9] 13. ! [X0] : (~happy(X0) => (wise(X0) <~> ~happy(X0))) [i...
0
Everyone who is curious or kind is both curious and not brave. Everyone who is funny or quiet is not quiet and vice versa. If someone is calm or generous then paul is quiet and vice versa. If someone is not generous or brave then john is either kind or not quiet and vice versa. Everyone who is both humble and happy is ...
John is not creative.
neutral
(![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))& (![X]:((funny(X)|quiet(X))<=>~quiet(X)))& ((?[X]:((calm(X)|generous(X))))<=>(quiet(paul)))& ((?[X]:((~generous(X)|brave(X))))<=>((kind(john)<~>~quiet(john))))& (![X]:((humble(X)&happy(X))=>~rich(X)))& (![X]:(old(X)=>(~strong(X)|~happy(X))))& (![X]:(~happy(X)<=>(ric...
~creative(john)
[]
null
0
If fred is not wise then john is both rich and not curious. Everyone who is not wise is not wise or not brave. Everyone who is both not quiet and brave is generous or quiet and vice versa. If paul is either strong or not calm then fred is both not creative and not humble. If paul is not generous then fred is not old an...
Fred is patient.
contradiction
((~wise(fred))=>((rich(john)&~curious(john))))& (![X]:(~wise(X)=>(~wise(X)|~brave(X))))& (![X]:((~quiet(X)&brave(X))<=>(generous(X)|quiet(X))))& (((strong(paul)<~>~calm(paul)))=>((~creative(fred)&~humble(fred))))& ((~generous(paul))<=>(~old(fred)))& (![X]:((~creative(X)<~>~rich(X))=>(humble(X)|quiet(X))))& ((~brave(mar...
patient(fred)
[ "p23", "hypothesis" ]
% SZS status Unsatisfiable for 8146128470739435710150274 % SZS output start Proof for 8146128470739435710150274 24. generous(fred) & ~patient(fred) [input p23] 25. patient(fred) [input hypothesis] 122. ~patient(fred) [cnf transformation 24] 124. patient(fred) [cnf transformation 25] 253. $false [subsumption resolution ...
0