premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is wise is both funny and not quiet and vice versa.
Everyone who is old or kind is humble or generous and vice versa.
Everyone who is either not wise or not patient is both not happy and wise and vice versa.
Everyone who is both rich and creative is either not humble or brave and vice versa.
Everyone who i... | Fred is tall. | entailment | (![X]:(wise(X)<=>(funny(X)&~quiet(X))))&
(![X]:((old(X)|kind(X))<=>(humble(X)|generous(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~happy(X)&wise(X))))&
(![X]:((rich(X)&creative(X))<=>(~humble(X)<~>brave(X))))&
(![X]:((~creative(X)|quiet(X))=>(~humble(X)|~wise(X))))&
(![X]:((quiet(X)&old(X))=>(rich(X)|curious(X))))&
(![X... | tall(fred) | [
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3792010774469640342830048
% SZS output start Proof for 3792010774469640342830048
9. ! [X0] : ((calm(X0) | wise(X0)) => (~old(X0) | brave(X0))) [input p8]
11. (~humble(john) & humble(john)) <=> ? [X0] : brave(X0) [input p10]
14. ! [X0] : ((generous(X0) <~> patient(X0)) <=> patient(X0)) [in... | 0 |
Everyone who is both not strong and patient is either not patient or not kind and vice versa.
If someone is not strong then someone is quiet.
Everyone who is either kind or not brave is not patient or not quiet.
Everyone who is generous is both tall and happy and vice versa.
Everyone who is not quiet or brave is both n... | Mary is brave. | entailment | (![X]:((~strong(X)&patient(X))<=>(~patient(X)<~>~kind(X))))&
((?[X]:(~strong(X)))=>(?[X]:(quiet(X))))&
(![X]:((kind(X)<~>~brave(X))=>(~patient(X)|~quiet(X))))&
(![X]:(generous(X)<=>(tall(X)&happy(X))))&
(![X]:((~quiet(X)|brave(X))=>(~curious(X)&~funny(X))))&
(![X]:((~funny(X)|wise(X))<=>(~strong(X)|~old(X))))&
(![X]:((... | brave(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2971776306253114984894921
% SZS output start Proof for 2971776306253114984894921
22. brave(mary) [input p21]
25. ~brave(mary) [input hypothesis]
137. brave(mary) [cnf transformation 22]
141. ~brave(mary) [cnf transformation 25]
293. $false [subsumption resolution 141,137]
% SZS output end... | 0 |
If someone is not brave then someone is tall or not rich.
Everyone who is both not curious and patient is both patient and curious and vice versa.
If paul is not happy or not curious then someone is either not funny or strong.
Everyone who is either not creative or not generous is not strong or generous.
Everyone who i... | Susan is not tall. | neutral | ((?[X]:(~brave(X)))=>(?[X]:((tall(X)|~rich(X)))))&
(![X]:((~curious(X)&patient(X))<=>(patient(X)&curious(X))))&
(((~happy(paul)|~curious(paul)))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((~creative(X)<~>~generous(X))=>(~strong(X)|generous(X))))&
(![X]:((brave(X)<~>~wise(X))=>(~kind(X)|funny(X))))&
(![X]:((strong(X)|fu... | ~tall(susan) | [] | null | 0 |
If someone is either humble or not strong then someone is both creative and not calm.
If alice is not generous or curious then lucy is not brave.
Everyone who is old or not quiet is either not patient or not tall and vice versa.
If alice is both not curious and creative then mary is either not kind or strong and vice v... | Alice is old. | contradiction | ((?[X]:((humble(X)<~>~strong(X))))=>(?[X]:((creative(X)&~calm(X)))))&
(((~generous(alice)|curious(alice)))=>(~brave(lucy)))&
(![X]:((old(X)|~quiet(X))<=>(~patient(X)<~>~tall(X))))&
(((~curious(alice)&creative(alice)))<=>((~kind(mary)<~>strong(mary))))&
((?[X]:(curious(X)))=>((happy(mary)&strong(mary))))&
(![X]:(~happy(... | old(alice) | [
"p5",
"p10",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 782171029877962843348962
% SZS output start Proof for 782171029877962843348962
6. ! [X0] : (~happy(X0) => (brave(X0) & ~brave(X0))) [input p5]
11. ! [X0] : ((tall(X0) & ~happy(X0)) <=> kind(X0)) [input p10]
13. ! [X0] : ((~curious(X0) | ~old(X0)) <=> (~kind(X0) <~> brave(X0))) [input p12]... | 0 |
If susan is both not calm and kind then mary is happy and vice versa.
Everyone who is both brave and strong is both curious and not humble and vice versa.
If mary is both not patient and not generous then paul is not funny or not kind.
If someone is funny or not generous then alice is both not humble and not happy and ... | John is not old. | entailment | (((~calm(susan)&kind(susan)))<=>(happy(mary)))&
(![X]:((brave(X)&strong(X))<=>(curious(X)&~humble(X))))&
(((~patient(mary)&~generous(mary)))=>((~funny(paul)|~kind(paul))))&
((?[X]:((funny(X)|~generous(X))))<=>((~humble(alice)&~happy(alice))))&
((~funny(alice))=>(~old(susan)))&
((tall(paul))<=>(?[X]:((~strong(X)|~brave(... | ~old(john) | [
"p6",
"p9",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4698750721956998285232549
% SZS output start Proof for 4698750721956998285232549
7. ! [X0] : (strong(X0) <=> (funny(X0) & ~generous(X0))) [input p6]
10. ! [X0] : ((old(X0) & wise(X0)) <=> generous(X0)) [input p9]
11. ! [X0] : ((wise(X0) <~> ~generous(X0)) <=> (rich(X0) & funny(X0))) [inpu... | 0 |
If someone is happy then someone is not happy. If someone is happy then someone is not brave or funny. If someone is not rich then susan is kind. Everyone who is either not rich or not humble is both creative and not quiet. If lucy is creative or not strong then paul is either not strong or not tall and vice versa. If ... | Lucy is not quiet. | contradiction | ((?[X]:(happy(X)))=>(?[X]:(~happy(X))))&
((?[X]:(happy(X)))=>(?[X]:((~brave(X)|funny(X)))))&
((?[X]:(~rich(X)))=>(kind(susan)))&
(![X]:((~rich(X)<~>~humble(X))=>(creative(X)&~quiet(X))))&
(((creative(lucy)|~strong(lucy)))<=>((~strong(paul)<~>~tall(paul))))&
((?[X]:((patient(X)|~generous(X))))=>((quiet(lucy)&~generous(l... | ~quiet(lucy) | [
"p5",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5733265116012503350472221
% SZS output start Proof for 5733265116012503350472221
6. ? [X0] : (~generous(X0) | patient(X0)) => (~generous(lucy) & quiet(lucy)) [input p5]
11. ! [X0] : ((quiet(X0) & brave(X0)) <=> ~patient(X0)) [input p10]
18. ~curious(mary) & ~quiet(mary) [input p17]
25. ~q... | 0 |
Everyone who is both generous and calm is both not kind and not tall.
If someone is either not brave or humble then john is both not tall and patient.
If mary is not wise or quiet then someone is not wise and vice versa.
Everyone who is not happy is both not quiet and old.
Everyone who is both curious and strong is eit... | Mary is not quiet. | entailment | (![X]:((generous(X)&calm(X))=>(~kind(X)&~tall(X))))&
((?[X]:((~brave(X)<~>humble(X))))=>((~tall(john)&patient(john))))&
(((~wise(mary)|quiet(mary)))<=>(?[X]:(~wise(X))))&
(![X]:(~happy(X)=>(~quiet(X)&old(X))))&
(![X]:((curious(X)&strong(X))<=>(patient(X)<~>quiet(X))))&
(![X]:(wise(X)<=>(wise(X)&~calm(X))))&
(![X]:((hap... | ~quiet(mary) | [
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2861188974551627874356685
% SZS output start Proof for 2861188974551627874356685
5. ! [X0] : ((strong(X0) & curious(X0)) <=> (patient(X0) <~> quiet(X0))) [input p4]
11. ! [X0] : (~calm(X0) <=> (~funny(X0) & funny(X0))) [input p10]
14. ! [X0] : (~calm(X0) <=> (patient(X0) | strong(X0))) [i... | 0 |
Everyone who is not humble or kind is either calm or not patient. If someone is quiet or not curious then lucy is either not kind or wise. If someone is either strong or funny then someone is brave and vice versa. If paul is both not calm and quiet then someone is both humble and not generous and vice versa. If someone... | John is generous. | entailment | (![X]:((~humble(X)|kind(X))=>(calm(X)<~>~patient(X))))&
((?[X]:((quiet(X)|~curious(X))))=>((~kind(lucy)<~>wise(lucy))))&
((?[X]:((strong(X)<~>funny(X))))<=>(?[X]:(brave(X))))&
(((~calm(paul)&quiet(paul)))<=>(?[X]:((humble(X)&~generous(X)))))&
((?[X]:((kind(X)&wise(X))))=>((~quiet(paul)<~>~creative(paul))))&
(((kind(joh... | generous(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8535645044892958679674249
% SZS output start Proof for 8535645044892958679674249
12. ! [X0] : ((generous(X0) & quiet(X0)) <=> (~calm(X0) <~> calm(X0))) [input p11]
23. ~generous(john) [input hypothesis]
63. ! [X0] : (((generous(X0) & quiet(X0)) | ((~calm(X0) | ~calm(X0)) & (calm(X0) | cal... | 0 |
If someone is happy then alice is both not wise and not funny and vice versa.
If paul is not happy or not patient then john is not wise.
If susan is not kind or not tall then mary is brave and vice versa.
Everyone who is either not old or happy is not kind and vice versa.
If someone is either not wise or generous then ... | Susan is quiet. | neutral | ((?[X]:(happy(X)))<=>((~wise(alice)&~funny(alice))))&
(((~happy(paul)|~patient(paul)))=>(~wise(john)))&
(((~kind(susan)|~tall(susan)))<=>(brave(mary)))&
(![X]:((~old(X)<~>happy(X))<=>~kind(X)))&
((?[X]:((~wise(X)<~>generous(X))))=>(?[X]:(~patient(X))))&
(![X]:(tall(X)<=>~rich(X)))&
(![X]:(humble(X)<=>(~wise(X)|~creativ... | quiet(susan) | [] | null | 0 |
If someone is either not tall or not strong then someone is calm and vice versa.
Everyone who is not kind is both not brave and not rich.
Everyone who is both generous and humble is not calm or creative.
If mary is both calm and not patient then mary is both brave and creative.
Everyone who is not creative or not curio... | Alice is not patient. | contradiction | ((?[X]:((~tall(X)<~>~strong(X))))<=>(?[X]:(calm(X))))&
(![X]:(~kind(X)=>(~brave(X)&~rich(X))))&
(![X]:((generous(X)&humble(X))=>(~calm(X)|creative(X))))&
(((calm(mary)&~patient(mary)))=>((brave(mary)&creative(mary))))&
(![X]:((~creative(X)|~curious(X))=>(curious(X)&~quiet(X))))&
((?[X]:(tall(X)))=>(?[X]:((~curious(X)|~... | ~patient(alice) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8300903854719491718558986
% SZS output start Proof for 8300903854719491718558986
7. ! [X0] : ((happy(X0) | ~creative(X0)) => (~calm(X0) & patient(X0))) [input p6]
13. happy(alice) <=> (tall(alice) | ~tall(alice)) [input p12]
23. ~patient(alice) [input hypothesis]
34. ! [X0] : ((~calm(X0) ... | 0 |
Everyone who is both tall and not happy is both not old and not happy and vice versa.
Everyone who is both generous and creative is either not curious or curious.
Everyone who is humble or wise is either not strong or creative and vice versa.
Everyone who is either not brave or quiet is not kind.
If someone is not funn... | John is strong. | neutral | (![X]:((tall(X)&~happy(X))<=>(~old(X)&~happy(X))))&
(![X]:((generous(X)&creative(X))=>(~curious(X)<~>curious(X))))&
(![X]:((humble(X)|wise(X))<=>(~strong(X)<~>creative(X))))&
(![X]:((~brave(X)<~>quiet(X))=>~kind(X)))&
((?[X]:(~funny(X)))=>(kind(alice)))&
(![X]:((humble(X)&happy(X))=>(brave(X)<~>~creative(X))))&
(![X]:(... | strong(john) | [] | null | 0 |
Everyone who is either humble or brave is either happy or not old and vice versa.
If someone is calm or old then someone is either curious or not brave and vice versa.
Everyone who is not old is not happy or happy and vice versa.
If susan is tall or not strong then alice is both not tall and wise.
If someone is either ... | Susan is not old. | entailment | (![X]:((humble(X)<~>brave(X))<=>(happy(X)<~>~old(X))))&
((?[X]:((calm(X)|old(X))))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(![X]:(~old(X)<=>(~happy(X)|happy(X))))&
(((tall(susan)|~strong(susan)))=>((~tall(alice)&wise(alice))))&
((?[X]:((~humble(X)<~>quiet(X))))<=>((wise(john)|patient(john))))&
(((~wise(fred)|brave(fred))... | ~old(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6715411576360403530749830
% SZS output start Proof for 6715411576360403530749830
3. ! [X0] : (~old(X0) <=> (happy(X0) | ~happy(X0))) [input p2]
23. old(susan) [input hypothesis]
43. ! [X0] : ((~old(X0) | (~happy(X0) & happy(X0))) & ((happy(X0) | ~happy(X0)) | old(X0))) [nnf transformation... | 0 |
If someone is both not patient and not wise then someone is both not humble and old and vice versa. Everyone who is either funny or creative is both patient and not creative. If john is creative then susan is not creative or not funny and vice versa. Everyone who is both not wise and not humble is not humble or not pat... | Paul is not strong. | neutral | ((?[X]:((~patient(X)&~wise(X))))<=>(?[X]:((~humble(X)&old(X)))))&
(![X]:((funny(X)<~>creative(X))=>(patient(X)&~creative(X))))&
((creative(john))<=>((~creative(susan)|~funny(susan))))&
(![X]:((~wise(X)&~humble(X))<=>(~humble(X)|~patient(X))))&
(((~tall(lucy)&~wise(lucy)))<=>(?[X]:((~creative(X)|~patient(X)))))&
(![X]:(... | ~strong(paul) | [] | null | 0 |
Everyone who is either old or not curious is not old or calm and vice versa.
Everyone who is either not humble or brave is not curious and vice versa.
If mary is either rich or not brave then someone is either quiet or not rich and vice versa.
Everyone who is either curious or funny is calm.
If someone is either curiou... | John is not generous. | neutral | (![X]:((old(X)<~>~curious(X))<=>(~old(X)|calm(X))))&
(![X]:((~humble(X)<~>brave(X))<=>~curious(X)))&
(((rich(mary)<~>~brave(mary)))<=>(?[X]:((quiet(X)<~>~rich(X)))))&
(![X]:((curious(X)<~>funny(X))=>calm(X)))&
((?[X]:((curious(X)<~>~funny(X))))=>(calm(john)))&
((~strong(alice))<=>((~creative(alice)|creative(alice))))&
... | ~generous(john) | [] | null | 0 |
Everyone who is rich is not happy or not curious.
Everyone who is both brave and not old is either not kind or not generous.
If someone is either generous or not quiet then lucy is not calm and vice versa.
If john is calm then someone is not tall and vice versa.
If alice is both not happy and not patient then someone i... | Fred is curious. | entailment | (![X]:(rich(X)=>(~happy(X)|~curious(X))))&
(![X]:((brave(X)&~old(X))=>(~kind(X)<~>~generous(X))))&
((?[X]:((generous(X)<~>~quiet(X))))<=>(~calm(lucy)))&
((calm(john))<=>(?[X]:(~tall(X))))&
(((~happy(alice)&~patient(alice)))=>(?[X]:(~brave(X))))&
(![X]:((wise(X)<~>creative(X))=>(~calm(X)<~>patient(X))))&
((?[X]:(funny(X... | curious(fred) | [
"p3",
"p8",
"p10",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 504464416451719071867073
% SZS output start Proof for 504464416451719071867073
4. calm(john) <=> ? [X0] : ~tall(X0) [input p3]
9. ? [X0] : ~tall(X0) => brave(john) [input p8]
11. ! [X0] : ((~tall(X0) & curious(X0)) <=> rich(X0)) [input p10]
13. (happy(fred) & ~brave(fred)) <=> ? [X0] : br... | 0 |
Everyone who is brave or not happy is either wise or quiet.
If someone is either quiet or creative then someone is both not creative and rich and vice versa.
If john is rich or not old then someone is wise or not happy and vice versa.
Everyone who is not creative or not strong is either quiet or patient and vice versa.... | Alice is wise. | entailment | (![X]:((brave(X)|~happy(X))=>(wise(X)<~>quiet(X))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(?[X]:((~creative(X)&rich(X)))))&
(((rich(john)|~old(john)))<=>(?[X]:((wise(X)|~happy(X)))))&
(![X]:((~creative(X)|~strong(X))<=>(quiet(X)<~>patient(X))))&
((?[X]:(~kind(X)))<=>((generous(alice)&~quiet(alice))))&
(![X]:(calm(X)=>(... | wise(alice) | [
"p0",
"p4",
"p10",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 329637303072868742943117
% SZS output start Proof for 329637303072868742943117
1. ! [X0] : ((~happy(X0) | brave(X0)) => (wise(X0) <~> quiet(X0))) [input p0]
5. ? [X0] : ~kind(X0) <=> (~quiet(alice) & generous(alice)) [input p4]
11. ! [X0] : ((funny(X0) | happy(X0)) => (~patient(X0) <~> ~q... | 0 |
Everyone who is not funny or not rich is either not funny or patient. Everyone who is not tall is either not calm or not old. If someone is not old or kind then someone is calm or not rich and vice versa. If someone is both creative and not curious then someone is either rich or not creative and vice versa. Everyone wh... | John is kind. | neutral | (![X]:((~funny(X)|~rich(X))=>(~funny(X)<~>patient(X))))&
(![X]:(~tall(X)=>(~calm(X)<~>~old(X))))&
((?[X]:((~old(X)|kind(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
((?[X]:((creative(X)&~curious(X))))<=>(?[X]:((rich(X)<~>~creative(X)))))&
(![X]:(happy(X)=>(curious(X)|brave(X))))&
((kind(john))<=>(?[X]:((generous(X)<~>~curious... | kind(john) | [] | null | 0 |
Everyone who is either patient or brave is both strong and not strong.
If alice is not generous or patient then someone is old or brave and vice versa.
Everyone who is not happy or not creative is both kind and generous and vice versa.
If someone is either not tall or calm then someone is both rich and creative.
If ali... | Lucy is happy. | neutral | (![X]:((patient(X)<~>brave(X))=>(strong(X)&~strong(X))))&
(((~generous(alice)|patient(alice)))<=>(?[X]:((old(X)|brave(X)))))&
(![X]:((~happy(X)|~creative(X))<=>(kind(X)&generous(X))))&
((?[X]:((~tall(X)<~>calm(X))))=>(?[X]:((rich(X)&creative(X)))))&
(((~brave(alice)<~>~rich(alice)))<=>((curious(alice)<~>~rich(alice))))... | happy(lucy) | [] | null | 0 |
Everyone who is either wise or calm is wise and vice versa.
If alice is not rich or not generous then susan is either old or not creative and vice versa.
Everyone who is both funny and humble is creative or funny and vice versa.
Everyone who is strong or not humble is either rich or not strong.
Everyone who is both cal... | Alice is kind. | entailment | (![X]:((wise(X)<~>calm(X))<=>wise(X)))&
(((~rich(alice)|~generous(alice)))<=>((old(susan)<~>~creative(susan))))&
(![X]:((funny(X)&humble(X))<=>(creative(X)|funny(X))))&
(![X]:((strong(X)|~humble(X))=>(rich(X)<~>~strong(X))))&
(![X]:((calm(X)&quiet(X))<=>~brave(X)))&
(((happy(alice)&strong(alice)))=>((~quiet(fred)&quiet... | kind(alice) | [
"p3",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 258544038719385625320298
% SZS output start Proof for 258544038719385625320298
4. ! [X0] : ((~humble(X0) | strong(X0)) => (rich(X0) <~> ~strong(X0))) [input p3]
7. ! [X0] : ((~creative(X0) | ~kind(X0)) => ~rich(X0)) [input p6]
8. ! [X0] : ((~generous(X0) & curious(X0)) <=> (strong(X0) <~>... | 0 |
If someone is both patient and not tall then someone is either old or brave.
Everyone who is calm is both tall and not brave.
Everyone who is not wise is both humble and rich and vice versa.
If someone is old or not generous then someone is not calm.
Everyone who is funny or not happy is both patient and not happy and ... | Fred is not happy. | neutral | ((?[X]:((patient(X)&~tall(X))))=>(?[X]:((old(X)<~>brave(X)))))&
(![X]:(calm(X)=>(tall(X)&~brave(X))))&
(![X]:(~wise(X)<=>(humble(X)&rich(X))))&
((?[X]:((old(X)|~generous(X))))=>(?[X]:(~calm(X))))&
(![X]:((funny(X)|~happy(X))<=>(patient(X)&~happy(X))))&
((?[X]:(brave(X)))<=>((creative(fred)<~>patient(fred))))&
(![X]:((p... | ~happy(fred) | [] | null | 0 |
Everyone who is both brave and not curious is not humble or not creative.
If lucy is both creative and patient then someone is patient or not tall and vice versa.
If someone is both not funny and creative then someone is brave.
If someone is both not kind and not strong then fred is not generous and vice versa.
If john... | Lucy is funny. | entailment | (![X]:((brave(X)&~curious(X))=>(~humble(X)|~creative(X))))&
(((creative(lucy)&patient(lucy)))<=>(?[X]:((patient(X)|~tall(X)))))&
((?[X]:((~funny(X)&creative(X))))=>(?[X]:(brave(X))))&
((?[X]:((~kind(X)&~strong(X))))<=>(~generous(fred)))&
(((wise(john)<~>creative(john)))=>((wise(john)<~>funny(john))))&
(![X]:((~wise(X)|... | funny(lucy) | [
"p2",
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3243303060916938686324908
% SZS output start Proof for 3243303060916938686324908
3. ? [X0] : (creative(X0) & ~funny(X0)) => ? [X0] : brave(X0) [input p2]
6. ! [X0] : ((~old(X0) | ~wise(X0)) <=> ~brave(X0)) [input p5]
7. ! [X0] : ((~kind(X0) <~> wise(X0)) <=> (old(X0) | ~calm(X0))) [input ... | 0 |
If someone is both humble and not rich then paul is both strong and patient and vice versa.
If alice is kind or generous then john is strong or not curious.
Everyone who is funny is both not happy and patient.
Everyone who is not humble or calm is both rich and not curious.
Everyone who is not old is both not tall and ... | Alice is not brave. | neutral | ((?[X]:((humble(X)&~rich(X))))<=>((strong(paul)&patient(paul))))&
(((kind(alice)|generous(alice)))=>((strong(john)|~curious(john))))&
(![X]:(funny(X)=>(~happy(X)&patient(X))))&
(![X]:((~humble(X)|calm(X))=>(rich(X)&~curious(X))))&
(![X]:(~old(X)=>(~tall(X)&~old(X))))&
(![X]:((creative(X)<~>patient(X))<=>(~funny(X)<~>fu... | ~brave(alice) | [] | null | 0 |
Everyone who is both curious and not happy is both not wise and quiet and vice versa. Everyone who is both creative and not humble is both funny and curious and vice versa. If alice is happy then lucy is either not old or generous. If lucy is either not happy or not generous then susan is not old or patient and vice ve... | Susan is not kind. | contradiction | (![X]:((curious(X)&~happy(X))<=>(~wise(X)&quiet(X))))&
(![X]:((creative(X)&~humble(X))<=>(funny(X)&curious(X))))&
((happy(alice))=>((~old(lucy)<~>generous(lucy))))&
(((~happy(lucy)<~>~generous(lucy)))<=>((~old(susan)|patient(susan))))&
(![X]:((brave(X)&~patient(X))=>creative(X)))&
(![X]:((~kind(X)&humble(X))=>(strong(X... | ~kind(susan) | [
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2426007979867567486768000
% SZS output start Proof for 2426007979867567486768000
10. ! [X0] : ((~old(X0) | ~kind(X0)) <=> (old(X0) & ~funny(X0))) [input p9]
16. ! [X0] : ((kind(X0) | ~generous(X0)) <=> kind(X0)) [input p15]
21. generous(susan) <~> ~funny(susan) [input p20]
25. ~kind(susan... | 0 |
Everyone who is tall is kind.
Everyone who is not creative or not strong is both strong and curious and vice versa.
Everyone who is both not rich and wise is both not strong and creative.
If someone is wise or calm then someone is not humble or humble.
Everyone who is old or wise is not funny and vice versa.
Everyone w... | Susan is not curious. | entailment | (![X]:(tall(X)=>kind(X)))&
(![X]:((~creative(X)|~strong(X))<=>(strong(X)&curious(X))))&
(![X]:((~rich(X)&wise(X))=>(~strong(X)&creative(X))))&
((?[X]:((wise(X)|calm(X))))=>(?[X]:((~humble(X)|humble(X)))))&
(![X]:((old(X)|wise(X))<=>~funny(X)))&
(![X]:((~kind(X)&~wise(X))=>wise(X)))&
((generous(lucy))<=>(generous(fred))... | ~curious(susan) | [
"p4",
"p8",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7983059004702598040669672
% SZS output start Proof for 7983059004702598040669672
5. ! [X0] : ((wise(X0) | old(X0)) <=> ~funny(X0)) [input p4]
9. ! [X0] : (~creative(X0) <=> (~funny(X0) <~> ~curious(X0))) [input p8]
13. ! [X0] : ((~creative(X0) & brave(X0)) <=> ~wise(X0)) [input p12]
14. !... | 0 |
If someone is curious then someone is humble or not strong.
If someone is both patient and not creative then someone is not old and vice versa.
Everyone who is both not humble and not quiet is not funny or not brave and vice versa.
Everyone who is both not wise and not humble is wise.
Everyone who is happy or not old i... | Lucy is funny. | entailment | ((?[X]:(curious(X)))=>(?[X]:((humble(X)|~strong(X)))))&
((?[X]:((patient(X)&~creative(X))))<=>(?[X]:(~old(X))))&
(![X]:((~humble(X)&~quiet(X))<=>(~funny(X)|~brave(X))))&
(![X]:((~wise(X)&~humble(X))=>wise(X)))&
(![X]:((happy(X)|~old(X))<=>(~happy(X)&~funny(X))))&
((?[X]:((rich(X)&~patient(X))))<=>(~tall(paul)))&
(![X]:... | funny(lucy) | [
"p4",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3707340293911048448267275
% SZS output start Proof for 3707340293911048448267275
5. ! [X0] : ((~old(X0) | happy(X0)) <=> (~funny(X0) & ~happy(X0))) [input p4]
10. ! [X0] : ((~brave(X0) <~> ~old(X0)) <=> (~old(X0) & ~funny(X0))) [input p9]
12. ! [X0] : ((creative(X0) | brave(X0)) => (old(X... | 0 |
If someone is either not generous or happy then someone is not kind. Everyone who is not calm or rich is either not rich or not happy and vice versa. If someone is not patient then paul is both not kind and not old. If paul is not humble then someone is either not rich or happy. Everyone who is both funny and wise is n... | Paul is calm. | entailment | ((?[X]:((~generous(X)<~>happy(X))))=>(?[X]:(~kind(X))))&
(![X]:((~calm(X)|rich(X))<=>(~rich(X)<~>~happy(X))))&
((?[X]:(~patient(X)))=>((~kind(paul)&~old(paul))))&
((~humble(paul))=>(?[X]:((~rich(X)<~>happy(X)))))&
(![X]:((funny(X)&wise(X))<=>~wise(X)))&
((?[X]:((patient(X)|generous(X))))=>((patient(paul)<~>old(paul))))... | calm(paul) | [
"p2",
"p5",
"p6",
"p10",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 319089355326941392654904
% SZS output start Proof for 319089355326941392654904
3. ? [X0] : ~patient(X0) => (~old(paul) & ~kind(paul)) [input p2]
6. ? [X0] : (generous(X0) | patient(X0)) => (patient(paul) <~> old(paul)) [input p5]
7. ! [X0] : ((rich(X0) <~> calm(X0)) => (~old(X0) <~> ~crea... | 0 |
Everyone who is either calm or old is rich or not calm.
Everyone who is both not tall and not calm is not brave or not creative and vice versa.
If john is both not brave and not wise then john is either happy or not calm.
Everyone who is tall is patient and vice versa.
If someone is either tall or strong then someone i... | John is happy. | neutral | (![X]:((calm(X)<~>old(X))=>(rich(X)|~calm(X))))&
(![X]:((~tall(X)&~calm(X))<=>(~brave(X)|~creative(X))))&
(((~brave(john)&~wise(john)))=>((happy(john)<~>~calm(john))))&
(![X]:(tall(X)<=>patient(X)))&
((?[X]:((tall(X)<~>strong(X))))<=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((~funny(X)&~strong(X))=>strong(X)))&
((tall(susa... | happy(john) | [] | null | 0 |
Everyone who is funny or not calm is either brave or not brave and vice versa.
If john is old then john is curious or funny and vice versa.
If someone is not brave or not creative then alice is not strong and vice versa.
If john is either curious or generous then john is either calm or curious.
If someone is not old th... | John is creative. | contradiction | (![X]:((funny(X)|~calm(X))<=>(brave(X)<~>~brave(X))))&
((old(john))<=>((curious(john)|funny(john))))&
((?[X]:((~brave(X)|~creative(X))))<=>(~strong(alice)))&
(((curious(john)<~>generous(john)))=>((calm(john)<~>curious(john))))&
((?[X]:(~old(X)))<=>(?[X]:((~patient(X)|creative(X)))))&
(((generous(susan)<~>old(susan)))=>... | creative(john) | [
"p0",
"p1",
"p3",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3846832442809031936425705
% SZS output start Proof for 3846832442809031936425705
1. ! [X0] : ((~calm(X0) | funny(X0)) <=> (brave(X0) <~> ~brave(X0))) [input p0]
2. old(john) <=> (funny(john) | curious(john)) [input p1]
4. (curious(john) <~> generous(john)) => (calm(john) <~> curious(john)... | 0 |
Everyone who is both not patient and kind is both not calm and kind. If someone is both not quiet and kind then someone is kind and vice versa. Everyone who is old or kind is not kind. Everyone who is either wise or not quiet is both not old and funny and vice versa. If mary is quiet or not humble then someone is eithe... | Alice is not tall. | contradiction | (![X]:((~patient(X)&kind(X))=>(~calm(X)&kind(X))))&
((?[X]:((~quiet(X)&kind(X))))<=>(?[X]:(kind(X))))&
(![X]:((old(X)|kind(X))=>~kind(X)))&
(![X]:((wise(X)<~>~quiet(X))<=>(~old(X)&funny(X))))&
(((quiet(mary)|~humble(mary)))<=>(?[X]:((kind(X)<~>old(X)))))&
((~brave(lucy))<=>(?[X]:((strong(X)|old(X)))))&
(![X]:(~kind(X)<... | ~tall(alice) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4581723743070587099237193
% SZS output start Proof for 4581723743070587099237193
3. ! [X0] : ((kind(X0) | old(X0)) => ~kind(X0)) [input p2]
9. ? [X0] : kind(X0) <=> (~tall(alice) | happy(alice)) [input p8]
24. ~tall(alice) [input hypothesis]
30. ! [X0] : (~kind(X0) | (~kind(X0) & ~old(X0)... | 0 |
If someone is either calm or not tall then susan is not curious or rich. Everyone who is rich is creative and vice versa. If someone is either not patient or funny then someone is both not humble and old and vice versa. Everyone who is both tall and not humble is either old or not strong and vice versa. Everyone who is... | Lucy is calm. | neutral | ((?[X]:((calm(X)<~>~tall(X))))=>((~curious(susan)|rich(susan))))&
(![X]:(rich(X)<=>creative(X)))&
((?[X]:((~patient(X)<~>funny(X))))<=>(?[X]:((~humble(X)&old(X)))))&
(![X]:((tall(X)&~humble(X))<=>(old(X)<~>~strong(X))))&
(![X]:((~happy(X)&~brave(X))=>(~wise(X)|generous(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((wise(X)&~old(... | calm(lucy) | [] | null | 0 |
Everyone who is not strong is not creative and vice versa. Everyone who is patient is either brave or not creative and vice versa. If fred is either not old or strong then someone is both not calm and calm. Everyone who is either not brave or not kind is both not old and not rich and vice versa. Everyone who is both no... | Fred is not old. | entailment | (![X]:(~strong(X)<=>~creative(X)))&
(![X]:(patient(X)<=>(brave(X)<~>~creative(X))))&
(((~old(fred)<~>strong(fred)))=>(?[X]:((~calm(X)&calm(X)))))&
(![X]:((~brave(X)<~>~kind(X))<=>(~old(X)&~rich(X))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&curious(X))))&
((?[X]:((happy(X)<... | ~old(fred) | [
"p0",
"p3",
"p4",
"p5",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 319893733445168866466449
% SZS output start Proof for 319893733445168866466449
1. ! [X0] : (~strong(X0) <=> ~creative(X0)) [input p0]
4. ! [X0] : ((~brave(X0) <~> ~kind(X0)) <=> (~rich(X0) & ~old(X0))) [input p3]
5. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : (... | 0 |
If lucy is not old or generous then john is both not humble and generous.
Everyone who is curious or humble is not tall or humble.
If someone is both strong and not strong then mary is both not brave and tall and vice versa.
Everyone who is both curious and strong is strong and vice versa.
Everyone who is both old and ... | Lucy is not old. | contradiction | (((~old(lucy)|generous(lucy)))=>((~humble(john)&generous(john))))&
(![X]:((curious(X)|humble(X))=>(~tall(X)|humble(X))))&
((?[X]:((strong(X)&~strong(X))))<=>((~brave(mary)&tall(mary))))&
(![X]:((curious(X)&strong(X))<=>strong(X)))&
(![X]:((old(X)&~calm(X))<=>(humble(X)<~>kind(X))))&
(![X]:((~tall(X)|~humble(X))=>(rich(... | ~old(lucy) | [
"p0",
"p5",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3104352669027209887730056
% SZS output start Proof for 3104352669027209887730056
1. (generous(lucy) | ~old(lucy)) => (generous(john) & ~humble(john)) [input p0]
6. ! [X0] : ((~humble(X0) | ~tall(X0)) => (rich(X0) <~> brave(X0))) [input p5]
10. ! [X0] : ((~creative(X0) | kind(X0)) => (~tal... | 0 |
If someone is both happy and not quiet then someone is not happy or not tall.
Everyone who is either not patient or not kind is patient and vice versa.
If paul is not strong then someone is either wise or not happy.
Everyone who is both tall and not happy is generous or kind and vice versa.
Everyone who is either rich ... | Fred is tall. | contradiction | ((?[X]:((happy(X)&~quiet(X))))=>(?[X]:((~happy(X)|~tall(X)))))&
(![X]:((~patient(X)<~>~kind(X))<=>patient(X)))&
((~strong(paul))=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:((tall(X)&~happy(X))<=>(generous(X)|kind(X))))&
(![X]:((rich(X)<~>~rich(X))=>(~happy(X)&~old(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((old(X)|~calm(X)))))&
(... | tall(fred) | [
"p1",
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2994801911360189255636351
% SZS output start Proof for 2994801911360189255636351
2. ! [X0] : ((~patient(X0) <~> ~kind(X0)) <=> patient(X0)) [input p1]
4. ! [X0] : ((~happy(X0) & tall(X0)) <=> (kind(X0) | generous(X0))) [input p3]
5. ! [X0] : ((rich(X0) <~> ~rich(X0)) => (~old(X0) & ~happy... | 0 |
Everyone who is not kind is both curious and humble.
If paul is both not wise and humble then someone is kind.
Everyone who is both humble and brave is not tall and vice versa.
If mary is either not rich or wise then susan is happy and vice versa.
If lucy is both not strong and strong then someone is both not brave and... | Paul is wise. | entailment | (![X]:(~kind(X)=>(curious(X)&humble(X))))&
(((~wise(paul)&humble(paul)))=>(?[X]:(kind(X))))&
(![X]:((humble(X)&brave(X))<=>~tall(X)))&
(((~rich(mary)<~>wise(mary)))<=>(happy(susan)))&
(((~strong(lucy)&strong(lucy)))<=>(?[X]:((~brave(X)&calm(X)))))&
(![X]:((~strong(X)|calm(X))=>(~happy(X)<~>calm(X))))&
((?[X]:((~rich(X)... | wise(paul) | [
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1214215041722539043647500
% SZS output start Proof for 1214215041722539043647500
7. ? [X0] : (strong(X0) | ~rich(X0)) <=> quiet(paul) [input p6]
8. ! [X0] : (~wise(X0) <=> (~rich(X0) & ~quiet(X0))) [input p7]
15. ~strong(lucy) <=> ~rich(mary) [input p14]
25. ~wise(paul) [input hypothesis]... | 0 |
If susan is both not creative and happy then susan is both not rich and not brave and vice versa. Everyone who is either not creative or humble is either not rich or quiet. Everyone who is both rich and not rich is tall or kind and vice versa. If alice is both not kind and not patient then someone is kind. If someone i... | Lucy is rich. | entailment | (((~creative(susan)&happy(susan)))<=>((~rich(susan)&~brave(susan))))&
(![X]:((~creative(X)<~>humble(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((rich(X)&~rich(X))<=>(tall(X)|kind(X))))&
(((~kind(alice)&~patient(alice)))=>(?[X]:(kind(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~happy(fred)|~strong(fred))))&
(((brave(mary)<~>~pa... | rich(lucy) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3203178694091733547424804
% SZS output start Proof for 3203178694091733547424804
3. ! [X0] : ((~rich(X0) & rich(X0)) <=> (kind(X0) | tall(X0))) [input p2]
10. ! [X0] : ((happy(X0) | ~rich(X0)) => (strong(X0) & tall(X0))) [input p9]
22. ~rich(lucy) [input hypothesis]
28. ! [X0] : ((strong(... | 0 |
Everyone who is generous or kind is not old. If someone is not kind then someone is not brave or creative. If someone is either not funny or wise then lucy is both not patient and wise and vice versa. Everyone who is either brave or not curious is calm or not wise. Everyone who is creative is calm or not strong and vic... | Paul is generous. | neutral | (![X]:((generous(X)|kind(X))=>~old(X)))&
((?[X]:(~kind(X)))=>(?[X]:((~brave(X)|creative(X)))))&
((?[X]:((~funny(X)<~>wise(X))))<=>((~patient(lucy)&wise(lucy))))&
(![X]:((brave(X)<~>~curious(X))=>(calm(X)|~wise(X))))&
(![X]:(creative(X)<=>(calm(X)|~strong(X))))&
(![X]:((~creative(X)|~funny(X))<=>brave(X)))&
((brave(fred... | generous(paul) | [] | null | 0 |
Everyone who is either patient or old is both not curious and not humble.
If susan is either strong or not happy then someone is either happy or generous and vice versa.
Everyone who is both not rich and generous is both not tall and patient.
Everyone who is not tall is both funny and not calm.
Everyone who is both not... | Alice is humble. | contradiction | (![X]:((patient(X)<~>old(X))=>(~curious(X)&~humble(X))))&
(((strong(susan)<~>~happy(susan)))<=>(?[X]:((happy(X)<~>generous(X)))))&
(![X]:((~rich(X)&generous(X))=>(~tall(X)&patient(X))))&
(![X]:(~tall(X)=>(funny(X)&~calm(X))))&
(![X]:((~funny(X)&~humble(X))<=>(~brave(X)|creative(X))))&
(((~humble(susan)&~happy(susan)))=... | humble(alice) | [
"p3",
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8885155252844605057704744
% SZS output start Proof for 8885155252844605057704744
4. ! [X0] : (~tall(X0) => (~calm(X0) & funny(X0))) [input p3]
5. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (creative(X0) | ~brave(X0))) [input p4]
7. ~funny(susan) => (happy(alice) | ~kind(alice)) [input p6]
1... | 0 |
Everyone who is both strong and not tall is generous. If fred is either not generous or quiet then lucy is not strong. Everyone who is either not creative or humble is either quiet or not patient and vice versa. If someone is either strong or not curious then john is not strong and vice versa. If someone is not kind or... | John is old. | entailment | (![X]:((strong(X)&~tall(X))=>generous(X)))&
(((~generous(fred)<~>quiet(fred)))=>(~strong(lucy)))&
(![X]:((~creative(X)<~>humble(X))<=>(quiet(X)<~>~patient(X))))&
((?[X]:((strong(X)<~>~curious(X))))<=>(~strong(john)))&
((?[X]:((~kind(X)|~patient(X))))=>((~rich(lucy)&tall(lucy))))&
((?[X]:((~tall(X)<~>~creative(X))))=>(?... | old(john) | [
"p2",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 421596030532897613221526
% SZS output start Proof for 421596030532897613221526
3. ! [X0] : ((~creative(X0) <~> humble(X0)) <=> (quiet(X0) <~> ~patient(X0))) [input p2]
14. ! [X0] : (patient(X0) <=> (~creative(X0) <~> old(X0))) [input p13]
16. ! [X0] : ((quiet(X0) | humble(X0)) => (old(X0)... | 0 |
Everyone who is not brave or calm is brave or not funny and vice versa. Everyone who is not creative is rich or patient. If someone is both generous and not brave then someone is both creative and quiet. If fred is not strong or not funny then paul is old and vice versa. Everyone who is not happy is both wise and not o... | Fred is calm. | entailment | (![X]:((~brave(X)|calm(X))<=>(brave(X)|~funny(X))))&
(![X]:(~creative(X)=>(rich(X)|patient(X))))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((creative(X)&quiet(X)))))&
(((~strong(fred)|~funny(fred)))<=>(old(paul)))&
(![X]:(~happy(X)<=>(wise(X)&~old(X))))&
(![X]:(rich(X)<=>strong(X)))&
(![X]:((~brave(X)<~>wise(X))<=>(~cr... | calm(fred) | [
"p0",
"p4",
"p5",
"p6",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3761361111312310537264722
% SZS output start Proof for 3761361111312310537264722
1. ! [X0] : ((calm(X0) | ~brave(X0)) <=> (~funny(X0) | brave(X0))) [input p0]
5. ! [X0] : (~happy(X0) <=> (~old(X0) & wise(X0))) [input p4]
6. ! [X0] : (rich(X0) <=> strong(X0)) [input p5]
7. ! [X0] : ((~brav... | 0 |
If paul is not tall then paul is not happy or humble and vice versa. If susan is both creative and not patient then alice is not kind or generous and vice versa. Everyone who is either not happy or not strong is both not rich and brave and vice versa. Everyone who is wise or not rich is old and vice versa. If paul is b... | Mary is not patient. | contradiction | ((~tall(paul))<=>((~happy(paul)|humble(paul))))&
(((creative(susan)&~patient(susan)))<=>((~kind(alice)|generous(alice))))&
(![X]:((~happy(X)<~>~strong(X))<=>(~rich(X)&brave(X))))&
(![X]:((wise(X)|~rich(X))<=>old(X)))&
(((strong(paul)&~patient(paul)))<=>((creative(lucy)<~>old(lucy))))&
((?[X]:(~humble(X)))=>((~kind(fred... | ~patient(mary) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5499292800687694580350517
% SZS output start Proof for 5499292800687694580350517
7. ? [X0] : ~patient(X0) => (~old(susan) & ~tall(susan)) [input p6]
13. ! [X0] : ((strong(X0) & tall(X0)) <=> (~curious(X0) | ~old(X0))) [input p12]
25. ~patient(mary) [input hypothesis]
28. (~old(susan) & ~t... | 0 |
Everyone who is both not humble and quiet is patient or quiet.
Everyone who is not creative or kind is patient and vice versa.
If fred is creative or not generous then john is not creative.
Everyone who is calm or curious is both not curious and not happy and vice versa.
If fred is either calm or not calm then someone ... | Susan is not wise. | entailment | (![X]:((~humble(X)&quiet(X))=>(patient(X)|quiet(X))))&
(![X]:((~creative(X)|kind(X))<=>patient(X)))&
(((creative(fred)|~generous(fred)))=>(~creative(john)))&
(![X]:((calm(X)|curious(X))<=>(~curious(X)&~happy(X))))&
(((calm(fred)<~>~calm(fred)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(rich(X)<=>~brave(X)))&
((?[X]:((~... | ~wise(susan) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4347846288733951221513368
% SZS output start Proof for 4347846288733951221513368
2. ! [X0] : ((kind(X0) | ~creative(X0)) <=> patient(X0)) [input p1]
9. wise(susan) => (~patient(lucy) & kind(lucy)) [input p8]
25. wise(susan) [input hypothesis]
33. (~patient(lucy) & kind(lucy)) | ~wise(susa... | 0 |
If alice is creative or not brave then someone is tall.
If someone is not humble or not funny then john is not generous or not quiet and vice versa.
Everyone who is old or humble is both tall and generous and vice versa.
Everyone who is not patient or not rich is either not quiet or not old.
Everyone who is brave is ki... | John is strong. | contradiction | (((creative(alice)|~brave(alice)))=>(?[X]:(tall(X))))&
((?[X]:((~humble(X)|~funny(X))))<=>((~generous(john)|~quiet(john))))&
(![X]:((old(X)|humble(X))<=>(tall(X)&generous(X))))&
(![X]:((~patient(X)|~rich(X))=>(~quiet(X)<~>~old(X))))&
(![X]:(brave(X)=>(kind(X)|curious(X))))&
((?[X]:(generous(X)))=>(?[X]:(~funny(X))))&
(... | strong(john) | [
"p1",
"p2",
"p5",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8074277493595432704504910
% SZS output start Proof for 8074277493595432704504910
2. ? [X0] : (~funny(X0) | ~humble(X0)) <=> (~quiet(john) | ~generous(john)) [input p1]
3. ! [X0] : ((humble(X0) | old(X0)) <=> (generous(X0) & tall(X0))) [input p2]
6. ? [X0] : generous(X0) => ? [X0] : ~funny... | 0 |
Everyone who is both not old and generous is both generous and happy and vice versa. Everyone who is not old or not patient is wise. If someone is both brave and wise then someone is both not calm and not brave and vice versa. If lucy is both humble and quiet then someone is both kind and calm and vice versa. Everyone ... | John is not humble. | neutral | (![X]:((~old(X)&generous(X))<=>(generous(X)&happy(X))))&
(![X]:((~old(X)|~patient(X))=>wise(X)))&
((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(((humble(lucy)&quiet(lucy)))<=>(?[X]:((kind(X)&calm(X)))))&
(![X]:((~funny(X)|~generous(X))<=>(humble(X)&~calm(X))))&
(![X]:((tall(X)|~humble(X))=>~patient(X)... | ~humble(john) | [] | null | 0 |
If john is wise then someone is both creative and not creative.
Everyone who is both brave and happy is not calm and vice versa.
If alice is either funny or patient then someone is both not strong and creative.
Everyone who is both not patient and patient is rich or funny.
Everyone who is not calm or old is not funny o... | John is not wise. | entailment | ((wise(john))=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((brave(X)&happy(X))<=>~calm(X)))&
(((funny(alice)<~>patient(alice)))=>(?[X]:((~strong(X)&creative(X)))))&
(![X]:((~patient(X)&patient(X))=>(rich(X)|funny(X))))&
(![X]:((~calm(X)|old(X))<=>(~funny(X)|~rich(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(funny(X)&~humbl... | ~wise(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 2699262573106170751216712
% SZS output start Proof for 2699262573106170751216712
1. wise(john) => ? [X0] : (~creative(X0) & creative(X0)) [input p0]
23. wise(john) [input hypothesis]
29. ? [X0] : (~creative(X0) & creative(X0)) | ~wise(john) [ennf transformation 1]
39. ? [X0] : (~creative(... | 0 |
Everyone who is both tall and not curious is rich and vice versa.
Everyone who is curious is both old and not brave and vice versa.
If fred is either not brave or wise then someone is either not brave or not old.
If someone is either not calm or not patient then alice is both not old and calm and vice versa.
If someone... | Susan is not wise. | contradiction | (![X]:((tall(X)&~curious(X))<=>rich(X)))&
(![X]:(curious(X)<=>(old(X)&~brave(X))))&
(((~brave(fred)<~>wise(fred)))=>(?[X]:((~brave(X)<~>~old(X)))))&
((?[X]:((~calm(X)<~>~patient(X))))<=>((~old(alice)&calm(alice))))&
((?[X]:((curious(X)|~humble(X))))=>(?[X]:(calm(X))))&
(![X]:(~patient(X)<=>(~quiet(X)<~>~generous(X))))&... | ~wise(susan) | [
"p1",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9147619723771017981208677
% SZS output start Proof for 9147619723771017981208677
2. ! [X0] : (curious(X0) <=> (~brave(X0) & old(X0))) [input p1]
13. ? [X0] : (kind(X0) | ~rich(X0)) <=> curious(lucy) [input p12]
15. ? [X0] : (~wise(X0) | curious(X0)) => ? [X0] : ~rich(X0) [input p14]
21. ~... | 0 |
Everyone who is not creative or strong is not humble and vice versa.
Everyone who is either not old or not curious is patient.
If alice is kind then susan is either wise or not tall and vice versa.
Everyone who is either tall or not patient is either wise or not wise and vice versa.
Everyone who is either not rich or c... | Fred is strong. | neutral | (![X]:((~creative(X)|strong(X))<=>~humble(X)))&
(![X]:((~old(X)<~>~curious(X))=>patient(X)))&
((kind(alice))<=>((wise(susan)<~>~tall(susan))))&
(![X]:((tall(X)<~>~patient(X))<=>(wise(X)<~>~wise(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~strong(X)<~>~humble(X))))&
((wise(fred))<=>(?[X]:((wise(X)|humble(X)))))&
(![X]:((~c... | strong(fred) | [] | null | 0 |
Everyone who is either kind or not calm is not brave and vice versa.
If someone is tall then someone is wise and vice versa.
Everyone who is not curious or curious is either not funny or brave.
Everyone who is both brave and kind is not strong or happy and vice versa.
If john is not happy or patient then someone is kin... | John is calm. | neutral | (![X]:((kind(X)<~>~calm(X))<=>~brave(X)))&
((?[X]:(tall(X)))<=>(?[X]:(wise(X))))&
(![X]:((~curious(X)|curious(X))=>(~funny(X)<~>brave(X))))&
(![X]:((brave(X)&kind(X))<=>(~strong(X)|happy(X))))&
(((~happy(john)|patient(john)))=>(?[X]:(kind(X))))&
(![X]:(strong(X)<=>(~tall(X)&funny(X))))&
(((~wise(paul)<~>old(paul)))=>(?... | calm(john) | [] | null | 0 |
Everyone who is not rich or not creative is either quiet or rich and vice versa.
If alice is both not old and brave then someone is wise or not old and vice versa.
Everyone who is either not curious or curious is not strong and vice versa.
If mary is not tall or not creative then paul is wise or not funny and vice vers... | Mary is tall. | contradiction | (![X]:((~rich(X)|~creative(X))<=>(quiet(X)<~>rich(X))))&
(((~old(alice)&brave(alice)))<=>(?[X]:((wise(X)|~old(X)))))&
(![X]:((~curious(X)<~>curious(X))<=>~strong(X)))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~pa... | tall(mary) | [
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3018397965926103890427032
% SZS output start Proof for 3018397965926103890427032
8. ? [X0] : (~calm(X0) <~> ~tall(X0)) => quiet(mary) [input p7]
11. ! [X0] : (~humble(X0) => (~quiet(X0) & happy(X0))) [input p10]
19. ~calm(mary) & ~humble(mary) [input p18]
25. tall(mary) [input hypothesis]... | 0 |
Everyone who is not humble is both tall and rich.
If someone is either patient or funny then fred is both not old and not quiet.
Everyone who is either old or curious is either strong or not funny.
Everyone who is not rich or old is not strong.
Everyone who is either not creative or funny is either generous or funny an... | Mary is strong. | contradiction | (![X]:(~humble(X)=>(tall(X)&rich(X))))&
((?[X]:((patient(X)<~>funny(X))))=>((~old(fred)&~quiet(fred))))&
(![X]:((old(X)<~>curious(X))=>(strong(X)<~>~funny(X))))&
(![X]:((~rich(X)|old(X))=>~strong(X)))&
(![X]:((~creative(X)<~>funny(X))<=>(generous(X)<~>funny(X))))&
(![X]:(~patient(X)<=>~creative(X)))&
((?[X]:((~funny(X)... | strong(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6938611122983626025913864
% SZS output start Proof for 6938611122983626025913864
19. ~old(mary) & ~strong(mary) [input p18]
25. strong(mary) [input hypothesis]
131. ~strong(mary) [cnf transformation 19]
140. strong(mary) [cnf transformation 25]
290. $false [subsumption resolution 140,131]... | 0 |
If someone is both not creative and not happy then someone is either quiet or not funny and vice versa. If fred is generous then paul is calm. Everyone who is either humble or wise is both funny and not brave and vice versa. Everyone who is either not wise or generous is either quiet or not calm and vice versa. If alic... | Lucy is funny. | entailment | ((?[X]:((~creative(X)&~happy(X))))<=>(?[X]:((quiet(X)<~>~funny(X)))))&
((generous(fred))=>(calm(paul)))&
(![X]:((humble(X)<~>wise(X))<=>(funny(X)&~brave(X))))&
(![X]:((~wise(X)<~>generous(X))<=>(quiet(X)<~>~calm(X))))&
((calm(alice))<=>(?[X]:((humble(X)<~>brave(X)))))&
((~wise(mary))<=>(?[X]:(~old(X))))&
(![X]:((wise(X... | funny(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7664329974985927348672104
% SZS output start Proof for 7664329974985927348672104
16. ! [X0] : (funny(X0) <=> (~curious(X0) | curious(X0))) [input p15]
24. ~funny(lucy) [input hypothesis]
69. ! [X0] : ((funny(X0) | (curious(X0) & ~curious(X0))) & ((~curious(X0) | curious(X0)) | ~funny(X0))... | 0 |
Everyone who is curious or not patient is not brave or generous and vice versa.
Everyone who is not funny is not generous.
If someone is either humble or not brave then someone is wise or not patient and vice versa.
If someone is not kind then fred is tall or not kind.
Everyone who is not strong is not tall or not wise... | Susan is not calm. | neutral | (![X]:((curious(X)|~patient(X))<=>(~brave(X)|generous(X))))&
(![X]:(~funny(X)=>~generous(X)))&
((?[X]:((humble(X)<~>~brave(X))))<=>(?[X]:((wise(X)|~patient(X)))))&
((?[X]:(~kind(X)))=>((tall(fred)|~kind(fred))))&
(![X]:(~strong(X)=>(~tall(X)|~wise(X))))&
(((~calm(lucy)&~tall(lucy)))=>(?[X]:((~rich(X)|~strong(X)))))&
((... | ~calm(susan) | [] | null | 0 |
Everyone who is both not patient and kind is both not calm and kind. If someone is both not quiet and kind then someone is kind and vice versa. Everyone who is old or kind is not kind. Everyone who is either wise or not quiet is both not old and funny and vice versa. If mary is quiet or not humble then someone is eithe... | Alice is not tall. | contradiction | (![X]:((~patient(X)&kind(X))=>(~calm(X)&kind(X))))&
((?[X]:((~quiet(X)&kind(X))))<=>(?[X]:(kind(X))))&
(![X]:((old(X)|kind(X))=>~kind(X)))&
(![X]:((wise(X)<~>~quiet(X))<=>(~old(X)&funny(X))))&
(((quiet(mary)|~humble(mary)))<=>(?[X]:((kind(X)<~>old(X)))))&
((~brave(lucy))<=>(?[X]:((strong(X)|old(X)))))&
(![X]:(~kind(X)<... | ~tall(alice) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4581723743070587099797555
% SZS output start Proof for 4581723743070587099797555
3. ! [X0] : ((kind(X0) | old(X0)) => ~kind(X0)) [input p2]
9. ? [X0] : kind(X0) <=> (~tall(alice) | happy(alice)) [input p8]
24. ~tall(alice) [input hypothesis]
30. ! [X0] : (~kind(X0) | (~kind(X0) & ~old(X0)... | 0 |
If susan is not curious or not kind then john is humble.
Everyone who is not humble or not tall is not calm or humble and vice versa.
If susan is both not generous and kind then fred is either not brave or not kind.
Everyone who is both not old and tall is creative or old and vice versa.
Everyone who is both not humble... | John is not patient. | entailment | (((~curious(susan)|~kind(susan)))=>(humble(john)))&
(![X]:((~humble(X)|~tall(X))<=>(~calm(X)|humble(X))))&
(((~generous(susan)&kind(susan)))=>((~brave(fred)<~>~kind(fred))))&
(![X]:((~old(X)&tall(X))<=>(creative(X)|old(X))))&
(![X]:((~humble(X)&~patient(X))<=>(~brave(X)|patient(X))))&
(![X]:((~creative(X)|wise(X))=>(~c... | ~patient(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1136508816056452236598892
% SZS output start Proof for 1136508816056452236598892
5. ! [X0] : ((~patient(X0) & ~humble(X0)) <=> (patient(X0) | ~brave(X0))) [input p4]
20. patient(john) [input hypothesis]
42. ! [X0] : (((~patient(X0) & ~humble(X0)) | (~patient(X0) & brave(X0))) & ((patient(... | 0 |
Everyone who is both not tall and strong is funny and vice versa.
Everyone who is both curious and kind is not quiet or happy and vice versa.
Everyone who is not patient is not curious.
Everyone who is not patient or strong is either not quiet or humble.
Everyone who is not tall or not creative is humble and vice versa... | Lucy is not calm. | contradiction | (![X]:((~tall(X)&strong(X))<=>funny(X)))&
(![X]:((curious(X)&kind(X))<=>(~quiet(X)|happy(X))))&
(![X]:(~patient(X)=>~curious(X)))&
(![X]:((~patient(X)|strong(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((~tall(X)|~creative(X))<=>humble(X)))&
(![X]:(quiet(X)<=>(~generous(X)&rich(X))))&
(![X]:((~humble(X)&creative(X))=>patient... | ~calm(lucy) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7501163777503587061185996
% SZS output start Proof for 7501163777503587061185996
2. ! [X0] : ((kind(X0) & curious(X0)) <=> (happy(X0) | ~quiet(X0))) [input p1]
4. ! [X0] : ((strong(X0) | ~patient(X0)) => (~quiet(X0) <~> humble(X0))) [input p3]
5. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> ... | 0 |
Everyone who is both tall and generous is funny or rich and vice versa.
If someone is both kind and not happy then susan is not generous and vice versa.
If someone is either generous or old then someone is both not patient and not rich and vice versa.
If john is not patient or not happy then someone is not quiet.
Every... | Mary is not wise. | contradiction | (![X]:((tall(X)&generous(X))<=>(funny(X)|rich(X))))&
((?[X]:((kind(X)&~happy(X))))<=>(~generous(susan)))&
((?[X]:((generous(X)<~>old(X))))<=>(?[X]:((~patient(X)&~rich(X)))))&
(((~patient(john)|~happy(john)))=>(?[X]:(~quiet(X))))&
(![X]:((~calm(X)|~funny(X))=>kind(X)))&
(![X]:(~humble(X)<=>(~quiet(X)<~>old(X))))&
(![X]:... | ~wise(mary) | [
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3063402142320568376586685
% SZS output start Proof for 3063402142320568376586685
16. ! [X0] : ((~happy(X0) | ~curious(X0)) <=> (wise(X0) & ~rich(X0))) [input p15]
23. ~quiet(mary) & ~happy(mary) [input p22]
25. ~wise(mary) [input hypothesis]
81. ! [X0] : (((~happy(X0) | ~curious(X0)) | (~... | 0 |
If lucy is not funny then someone is wise and vice versa.
Everyone who is both quiet and funny is either not old or curious and vice versa.
Everyone who is either funny or wise is not kind and vice versa.
If someone is humble or quiet then mary is not humble and vice versa.
Everyone who is both tall and not generous is... | Lucy is kind. | contradiction | ((~funny(lucy))<=>(?[X]:(wise(X))))&
(![X]:((quiet(X)&funny(X))<=>(~old(X)<~>curious(X))))&
(![X]:((funny(X)<~>wise(X))<=>~kind(X)))&
((?[X]:((humble(X)|quiet(X))))<=>(~humble(mary)))&
(![X]:((tall(X)&~generous(X))<=>(~creative(X)&old(X))))&
(![X]:((tall(X)|~humble(X))=>(~strong(X)<~>~kind(X))))&
((?[X]:((~old(X)<~>~ki... | kind(lucy) | [
"p0",
"p2",
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2245082946236308926646070
% SZS output start Proof for 2245082946236308926646070
1. ~funny(lucy) <=> ? [X0] : wise(X0) [input p0]
3. ! [X0] : ((funny(X0) <~> wise(X0)) <=> ~kind(X0)) [input p2]
4. ? [X0] : (quiet(X0) | humble(X0)) <=> ~humble(mary) [input p3]
10. ! [X0] : (~humble(X0) => ... | 0 |
Everyone who is patient is not strong or not curious and vice versa. If someone is creative or not humble then john is not brave or not calm and vice versa. If paul is not tall or rich then mary is both wise and not curious and vice versa. If someone is both kind and strong then john is not patient or happy. Everyone w... | Lucy is happy. | entailment | (![X]:(patient(X)<=>(~strong(X)|~curious(X))))&
((?[X]:((creative(X)|~humble(X))))<=>((~brave(john)|~calm(john))))&
(((~tall(paul)|rich(paul)))<=>((wise(mary)&~curious(mary))))&
((?[X]:((kind(X)&strong(X))))=>((~patient(john)|happy(john))))&
(![X]:(~brave(X)=>(~quiet(X)|~humble(X))))&
(![X]:((~old(X)<~>humble(X))=>(cre... | happy(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 557240532441674692863039
% SZS output start Proof for 557240532441674692863039
23. ~kind(lucy) & happy(lucy) [input p22]
25. ~happy(lucy) [input hypothesis]
134. happy(lucy) [cnf transformation 23]
137. ~happy(lucy) [cnf transformation 25]
212. 17 <=> happy(lucy) [avatar definition]
290. ... | 0 |
Everyone who is not tall or brave is not brave.
Everyone who is not wise or not happy is not kind or not funny.
Everyone who is either generous or not wise is either humble or not tall and vice versa.
If susan is both not strong and not brave then lucy is both not kind and brave and vice versa.
If mary is not rich or k... | Mary is not rich. | neutral | (![X]:((~tall(X)|brave(X))=>~brave(X)))&
(![X]:((~wise(X)|~happy(X))=>(~kind(X)|~funny(X))))&
(![X]:((generous(X)<~>~wise(X))<=>(humble(X)<~>~tall(X))))&
(((~strong(susan)&~brave(susan)))<=>((~kind(lucy)&brave(lucy))))&
(((~rich(mary)|kind(mary)))=>(?[X]:((~funny(X)|wise(X)))))&
((?[X]:((~humble(X)|patient(X))))=>((tal... | ~rich(mary) | [] | null | 0 |
If paul is quiet or kind then someone is not humble or not patient and vice versa.
If alice is brave then someone is not generous and vice versa.
Everyone who is humble or tall is either not creative or curious and vice versa.
If lucy is either tall or generous then someone is quiet.
Everyone who is either generous or ... | Paul is not kind. | entailment | (((quiet(paul)|kind(paul)))<=>(?[X]:((~humble(X)|~patient(X)))))&
((brave(alice))<=>(?[X]:(~generous(X))))&
(![X]:((humble(X)|tall(X))<=>(~creative(X)<~>curious(X))))&
(((tall(lucy)<~>generous(lucy)))=>(?[X]:(quiet(X))))&
(![X]:((generous(X)<~>~old(X))<=>(~humble(X)|~quiet(X))))&
(![X]:((~wise(X)&~generous(X))=>(~old(X... | ~kind(paul) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8653744948147753765290247
% SZS output start Proof for 8653744948147753765290247
10. (~calm(mary) | ~tall(mary)) => (wise(paul) & ~kind(paul)) [input p9]
21. kind(mary) & ~tall(mary) [input p20]
25. kind(paul) [input hypothesis]
33. (wise(paul) & ~kind(paul)) | (calm(mary) & tall(mary)) [... | 0 |
If lucy is kind then lucy is either not curious or not rich and vice versa.
If fred is either generous or not patient then someone is curious and vice versa.
If someone is generous then john is not tall.
Everyone who is not curious is either happy or brave and vice versa.
If susan is not brave then someone is happy.
If... | Mary is happy. | neutral | ((kind(lucy))<=>((~curious(lucy)<~>~rich(lucy))))&
(((generous(fred)<~>~patient(fred)))<=>(?[X]:(curious(X))))&
((?[X]:(generous(X)))=>(~tall(john)))&
(![X]:(~curious(X)<=>(happy(X)<~>brave(X))))&
((~brave(susan))=>(?[X]:(happy(X))))&
((?[X]:((~quiet(X)&wise(X))))<=>(?[X]:((~rich(X)&old(X)))))&
(![X]:((generous(X)<~>~b... | happy(mary) | [] | null | 0 |
If someone is either not old or not patient then lucy is creative or not happy. Everyone who is both funny and curious is rich or brave and vice versa. If paul is either tall or curious then alice is both not old and generous and vice versa. Everyone who is not brave or not tall is humble and vice versa. Everyone who i... | Paul is humble. | neutral | ((?[X]:((~old(X)<~>~patient(X))))=>((creative(lucy)|~happy(lucy))))&
(![X]:((funny(X)&curious(X))<=>(rich(X)|brave(X))))&
(((tall(paul)<~>curious(paul)))<=>((~old(alice)&generous(alice))))&
(![X]:((~brave(X)|~tall(X))<=>humble(X)))&
(![X]:(~curious(X)<=>calm(X)))&
(![X]:((wise(X)<~>~generous(X))=>~generous(X)))&
((?[X]... | humble(paul) | [] | null | 0 |
If fred is not calm then someone is not calm.
Everyone who is not kind is not quiet and vice versa.
If alice is rich or not old then fred is both not humble and wise.
If someone is both calm and funny then john is generous or not happy and vice versa.
If paul is either not tall or old then someone is both generous and ... | Fred is old. | contradiction | ((~calm(fred))=>(?[X]:(~calm(X))))&
(![X]:(~kind(X)<=>~quiet(X)))&
(((rich(alice)|~old(alice)))=>((~humble(fred)&wise(fred))))&
((?[X]:((calm(X)&funny(X))))<=>((generous(john)|~happy(john))))&
(((~tall(paul)<~>old(paul)))<=>(?[X]:((generous(X)&quiet(X)))))&
(![X]:((~strong(X)|rich(X))=>(tall(X)<~>creative(X))))&
(![X]:... | old(fred) | [
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3708190575284821422287444
% SZS output start Proof for 3708190575284821422287444
8. ! [X0] : (~wise(X0) => (funny(X0) <~> ~patient(X0))) [input p7]
11. ! [X0] : ((~wise(X0) & ~funny(X0)) <=> old(X0)) [input p10]
14. ! [X0] : ((~funny(X0) | old(X0)) <=> (~generous(X0) & patient(X0))) [inpu... | 0 |
Everyone who is wise is kind.
If someone is quiet then alice is both creative and not old and vice versa.
Everyone who is either brave or not patient is old or wise.
Everyone who is patient is not strong or not brave and vice versa.
Everyone who is both wise and happy is not old or kind and vice versa.
Everyone who is ... | Alice is not wise. | contradiction | (![X]:(wise(X)=>kind(X)))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((~strong(X)<~>~funny(X)))... | ~wise(alice) | [
"p1",
"p11",
"p12",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6418780487144357708790721
% SZS output start Proof for 6418780487144357708790721
2. ? [X0] : quiet(X0) <=> (~old(alice) & creative(alice)) [input p1]
12. ! [X0] : ((funny(X0) | rich(X0)) <=> (old(X0) | ~quiet(X0))) [input p11]
13. ! [X0] : ((wise(X0) <~> quiet(X0)) <=> (rich(X0) & humble(... | 0 |
Everyone who is kind is old. If someone is humble then lucy is not quiet or not old and vice versa. If someone is not tall then lucy is both wise and not tall. If lucy is either not old or not strong then paul is not happy. If susan is wise then someone is happy or wise. Everyone who is both not old and old is kind or ... | Alice is not tall. | contradiction | (![X]:(kind(X)=>old(X)))&
((?[X]:(humble(X)))<=>((~quiet(lucy)|~old(lucy))))&
((?[X]:(~tall(X)))=>((wise(lucy)&~tall(lucy))))&
(((~old(lucy)<~>~strong(lucy)))=>(~happy(paul)))&
((wise(susan))=>(?[X]:((happy(X)|wise(X)))))&
(![X]:((~old(X)&old(X))<=>(kind(X)|wise(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(patient(X)<~>~... | ~tall(alice) | [
"p0",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1131387808222788850469602
% SZS output start Proof for 1131387808222788850469602
1. ! [X0] : (kind(X0) => old(X0)) [input p0]
6. ! [X0] : ((old(X0) & ~old(X0)) <=> (wise(X0) | kind(X0))) [input p5]
8. ! [X0] : ((calm(X0) <~> generous(X0)) <=> (kind(X0) | ~calm(X0))) [input p7]
9. ? [X0] :... | 0 |
Everyone who is either wise or curious is both quiet and not quiet. Everyone who is either happy or not curious is either kind or old and vice versa. If someone is not creative or strong then someone is both patient and tall and vice versa. If paul is both funny and not rich then someone is not curious and vice versa. ... | Mary is not brave. | entailment | (![X]:((wise(X)<~>curious(X))=>(quiet(X)&~quiet(X))))&
(![X]:((happy(X)<~>~curious(X))<=>(kind(X)<~>old(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((patient(X)&tall(X)))))&
(((funny(paul)&~rich(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((brave(X)|~curious(X))<=>(patient(X)&curious(X))))&
(((~strong(susan)|~rich(sus... | ~brave(mary) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2397846652813164692167060
% SZS output start Proof for 2397846652813164692167060
5. ! [X0] : ((~curious(X0) | brave(X0)) <=> (curious(X0) & patient(X0))) [input p4]
7. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~strong(X0) | ~patient(X0))) [input p6]
22. brave(mary) [input hypothesis]
42. !... | 0 |
Everyone who is both not quiet and not funny is strong or quiet and vice versa.
If someone is either generous or funny then someone is curious.
Everyone who is either happy or rich is tall.
Everyone who is either not curious or not old is not happy and vice versa.
If fred is both not kind and not generous then someone ... | Mary is strong. | contradiction | (![X]:((~quiet(X)&~funny(X))<=>(strong(X)|quiet(X))))&
((?[X]:((generous(X)<~>funny(X))))=>(?[X]:(curious(X))))&
(![X]:((happy(X)<~>rich(X))=>tall(X)))&
(![X]:((~curious(X)<~>~old(X))<=>~happy(X)))&
(((~kind(fred)&~generous(fred)))=>(?[X]:((~generous(X)&funny(X)))))&
((?[X]:((~old(X)|strong(X))))<=>((~humble(alice)&tal... | strong(mary) | [
"p0",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1781958678760556627340687
% SZS output start Proof for 1781958678760556627340687
1. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> (quiet(X0) | strong(X0))) [input p0]
17. ~old(mary) & funny(mary) [input p16]
25. strong(mary) [input hypothesis]
42. ! [X0] : (((~funny(X0) & ~quiet(X0)) | (~quiet(... | 0 |
Everyone who is creative is either humble or not quiet and vice versa. Everyone who is not quiet is either not wise or not humble and vice versa. If mary is not curious then someone is not kind or happy. If susan is both not old and not generous then paul is patient or not patient and vice versa. If someone is either w... | Lucy is kind. | entailment | (![X]:(creative(X)<=>(humble(X)<~>~quiet(X))))&
(![X]:(~quiet(X)<=>(~wise(X)<~>~humble(X))))&
((~curious(mary))=>(?[X]:((~kind(X)|happy(X)))))&
(((~old(susan)&~generous(susan)))<=>((patient(paul)|~patient(paul))))&
((?[X]:((wise(X)<~>~generous(X))))<=>(?[X]:((~rich(X)&creative(X)))))&
(![X]:(generous(X)<=>(~calm(X)&~br... | kind(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6565792400206582595909233
% SZS output start Proof for 6565792400206582595909233
18. happy(lucy) & kind(lucy) [input p17]
24. ~kind(lucy) [input hypothesis]
138. kind(lucy) [cnf transformation 18]
147. ~kind(lucy) [cnf transformation 24]
335. $false [subsumption resolution 147,138]
% SZS ... | 0 |
If someone is both not calm and happy then lucy is both not quiet and generous and vice versa.
Everyone who is not humble is either not tall or old and vice versa.
Everyone who is either generous or humble is both humble and not calm and vice versa.
Everyone who is brave is both not rich and not tall and vice versa.
Ev... | Mary is creative. | contradiction | ((?[X]:((~calm(X)&happy(X))))<=>((~quiet(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>(~tall(X)<~>old(X))))&
(![X]:((generous(X)<~>humble(X))<=>(humble(X)&~calm(X))))&
(![X]:(brave(X)<=>(~rich(X)&~tall(X))))&
(![X]:((patient(X)&old(X))=>(tall(X)|rich(X))))&
(![X]:((~wise(X)|~tall(X))=>(curious(X)|humble(X))))&
((kind(m... | creative(mary) | [
"p3",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4712185550521695582302016
% SZS output start Proof for 4712185550521695582302016
4. ! [X0] : (brave(X0) <=> (~tall(X0) & ~rich(X0))) [input p3]
12. ! [X0] : (rich(X0) <=> (~tall(X0) | ~creative(X0))) [input p11]
13. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> rich(X0)) [input p12]
15. ! [X0... | 0 |
If john is not brave then susan is not kind or not wise.
Everyone who is happy or not humble is patient or humble.
Everyone who is not brave or tall is both not patient and not humble and vice versa.
Everyone who is both not old and tall is both not calm and not tall and vice versa.
If john is not kind or not strong th... | Fred is not strong. | contradiction | ((~brave(john))=>((~kind(susan)|~wise(susan))))&
(![X]:((happy(X)|~humble(X))=>(patient(X)|humble(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)&~humble(X))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)&~tall(X))))&
(((~kind(john)|~strong(john)))<=>((~kind(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~humble(X)... | ~strong(fred) | [
"p1",
"p2",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6057182794996950349422087
% SZS output start Proof for 6057182794996950349422087
2. ! [X0] : ((~humble(X0) | happy(X0)) => (humble(X0) | patient(X0))) [input p1]
3. ! [X0] : ((tall(X0) | ~brave(X0)) <=> (~humble(X0) & ~patient(X0))) [input p2]
4. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~tall... | 0 |
Everyone who is not humble or funny is not funny or creative and vice versa. Everyone who is funny is both not funny and funny. If mary is quiet or curious then susan is brave and vice versa. Everyone who is both funny and not wise is wise or not creative and vice versa. Everyone who is either not wise or strong is pat... | Lucy is calm. | neutral | (![X]:((~humble(X)|funny(X))<=>(~funny(X)|creative(X))))&
(![X]:(funny(X)=>(~funny(X)&funny(X))))&
(((quiet(mary)|curious(mary)))<=>(brave(susan)))&
(![X]:((funny(X)&~wise(X))<=>(wise(X)|~creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>patient(X)))&
((?[X]:((humble(X)|~curious(X))))<=>((~patient(susan)&~kind(susan))))&
... | calm(lucy) | [] | null | 0 |
If john is both not generous and not happy then someone is either brave or not wise.
Everyone who is either patient or not wise is rich.
Everyone who is not generous is not patient.
Everyone who is both not old and strong is either not kind or tall.
Everyone who is both generous and creative is not tall or not generous... | Mary is curious. | neutral | (((~generous(john)&~happy(john)))=>(?[X]:((brave(X)<~>~wise(X)))))&
(![X]:((patient(X)<~>~wise(X))=>rich(X)))&
(![X]:(~generous(X)=>~patient(X)))&
(![X]:((~old(X)&strong(X))=>(~kind(X)<~>tall(X))))&
(![X]:((generous(X)&creative(X))<=>(~tall(X)|~generous(X))))&
(((~rich(susan)|~curious(susan)))<=>((~quiet(mary)&~kind(ma... | curious(mary) | [] | null | 0 |
If lucy is either not strong or generous then someone is either patient or wise. Everyone who is not tall or strong is not curious or quiet. If john is not tall then someone is quiet and vice versa. If lucy is not wise then mary is either not rich or not generous. Everyone who is not kind or not rich is both happy and ... | Susan is not quiet. | entailment | (((~strong(lucy)<~>generous(lucy)))=>(?[X]:((patient(X)<~>wise(X)))))&
(![X]:((~tall(X)|strong(X))=>(~curious(X)|quiet(X))))&
((~tall(john))<=>(?[X]:(quiet(X))))&
((~wise(lucy))=>((~rich(mary)<~>~generous(mary))))&
(![X]:((~kind(X)|~rich(X))<=>(happy(X)&~old(X))))&
(![X]:((happy(X)|~rich(X))<=>(happy(X)&~happy(X))))&
(... | ~quiet(susan) | [
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8850142003502728894271373
% SZS output start Proof for 8850142003502728894271373
5. ! [X0] : ((~rich(X0) | ~kind(X0)) <=> (~old(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~happy(X0) & happy(X0))) [input p5]
9. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) => (~curious(... | 0 |
Everyone who is either not wise or quiet is tall or not patient.
Everyone who is not calm is not patient.
Everyone who is not generous or not kind is not rich and vice versa.
If someone is either patient or not wise then john is not creative.
If paul is brave or wise then someone is kind and vice versa.
Everyone who is... | Susan is not wise. | entailment | (![X]:((~wise(X)<~>quiet(X))=>(tall(X)|~patient(X))))&
(![X]:(~calm(X)=>~patient(X)))&
(![X]:((~generous(X)|~kind(X))<=>~rich(X)))&
((?[X]:((patient(X)<~>~wise(X))))=>(~creative(john)))&
(((brave(paul)|wise(paul)))<=>(?[X]:(kind(X))))&
(![X]:((tall(X)<~>old(X))=>(~brave(X)&happy(X))))&
(![X]:((wise(X)&~quiet(X))=>(humb... | ~wise(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4970649042284514759769141
% SZS output start Proof for 4970649042284514759769141
15. ! [X0] : ((calm(X0) | wise(X0)) => (~wise(X0) & kind(X0))) [input p14]
25. wise(susan) [input hypothesis]
37. ! [X0] : ((~wise(X0) & kind(X0)) | (~calm(X0) & ~wise(X0))) [ennf transformation 15]
124. ~wis... | 0 |
If someone is either strong or not curious then someone is not wise and vice versa.
If john is either humble or not tall then susan is funny or not rich and vice versa.
Everyone who is both funny and not funny is curious or funny.
If susan is not funny or not humble then someone is either not patient or patient.
If som... | John is not happy. | neutral | ((?[X]:((strong(X)<~>~curious(X))))<=>(?[X]:(~wise(X))))&
(((humble(john)<~>~tall(john)))<=>((funny(susan)|~rich(susan))))&
(![X]:((funny(X)&~funny(X))=>(curious(X)|funny(X))))&
(((~funny(susan)|~humble(susan)))=>(?[X]:((~patient(X)<~>patient(X)))))&
((?[X]:((patient(X)|funny(X))))=>(~curious(lucy)))&
(![X]:((~tall(X)&... | ~happy(john) | [] | null | 0 |
Everyone who is both not creative and happy is both not curious and not kind. If john is not brave or brave then someone is not curious or old and vice versa. If john is either not tall or not old then someone is not wise or brave and vice versa. If someone is both not quiet and not calm then someone is not tall and vi... | Fred is old. | neutral | (![X]:((~creative(X)&happy(X))=>(~curious(X)&~kind(X))))&
(((~brave(john)|brave(john)))<=>(?[X]:((~curious(X)|old(X)))))&
(((~tall(john)<~>~old(john)))<=>(?[X]:((~wise(X)|brave(X)))))&
((?[X]:((~quiet(X)&~calm(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~rich(X)<~>~calm(X))=>(rich(X)|wise(X))))&
(((~brave(john)|brave(john)))=>... | old(fred) | [] | null | 0 |
Everyone who is not curious is curious or brave. If someone is strong then mary is not old. Everyone who is creative is old and vice versa. If mary is either happy or patient then someone is either not patient or old. Everyone who is not generous or not curious is either not quiet or tall. If alice is either quiet or n... | Mary is patient. | neutral | (![X]:(~curious(X)=>(curious(X)|brave(X))))&
((?[X]:(strong(X)))=>(~old(mary)))&
(![X]:(creative(X)<=>old(X)))&
(((happy(mary)<~>patient(mary)))=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:((~generous(X)|~curious(X))=>(~quiet(X)<~>tall(X))))&
(((quiet(alice)<~>~patient(alice)))<=>(?[X]:((brave(X)<~>~brave(X)))))&
(![X]:((... | patient(mary) | [] | null | 0 |
Everyone who is both creative and brave is either not brave or happy.
If mary is not kind then john is either not wise or humble.
Everyone who is not wise or not patient is both not old and old and vice versa.
Everyone who is either generous or curious is either not funny or rich and vice versa.
Everyone who is brave o... | Lucy is not calm. | neutral | (![X]:((creative(X)&brave(X))=>(~brave(X)<~>happy(X))))&
((~kind(mary))=>((~wise(john)<~>humble(john))))&
(![X]:((~wise(X)|~patient(X))<=>(~old(X)&old(X))))&
(![X]:((generous(X)<~>curious(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((brave(X)|~brave(X))=>(~funny(X)|humble(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~kind(X)<~>~pa... | ~calm(lucy) | [] | null | 0 |
Everyone who is either not creative or not generous is rich and vice versa.
Everyone who is not brave or not strong is both not old and not wise and vice versa.
If someone is creative or patient then paul is brave and vice versa.
Everyone who is humble is both funny and not quiet.
Everyone who is funny is both happy an... | Paul is kind. | entailment | (![X]:((~creative(X)<~>~generous(X))<=>rich(X)))&
(![X]:((~brave(X)|~strong(X))<=>(~old(X)&~wise(X))))&
((?[X]:((creative(X)|patient(X))))<=>(brave(paul)))&
(![X]:(humble(X)=>(funny(X)&~quiet(X))))&
(![X]:(funny(X)<=>(happy(X)&~tall(X))))&
(![X]:((~calm(X)<~>~generous(X))<=>(~wise(X)<~>~rich(X))))&
(![X]:((~brave(X)<~>... | kind(paul) | [
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 985895313486682038537977
% SZS output start Proof for 985895313486682038537977
5. ! [X0] : (funny(X0) <=> (~tall(X0) & happy(X0))) [input p4]
9. ! [X0] : (funny(X0) <=> (curious(X0) | ~funny(X0))) [input p8]
10. ! [X0] : ((happy(X0) & curious(X0)) <=> (kind(X0) & brave(X0))) [input p9]
22... | 0 |
Everyone who is humble is not generous or not humble and vice versa. Everyone who is not humble is kind or calm. Everyone who is kind or not calm is both wise and funny. Everyone who is not kind is generous. Everyone who is either brave or happy is not old or funny and vice versa. If lucy is either not creative or calm... | John is wise. | entailment | (![X]:(humble(X)<=>(~generous(X)|~humble(X))))&
(![X]:(~humble(X)=>(kind(X)|calm(X))))&
(![X]:((kind(X)|~calm(X))=>(wise(X)&funny(X))))&
(![X]:(~kind(X)=>generous(X)))&
(![X]:((brave(X)<~>happy(X))<=>(~old(X)|funny(X))))&
(((~creative(lucy)<~>calm(lucy)))=>((~creative(susan)|~generous(susan))))&
(((generous(john)|~happ... | wise(john) | [
"p0",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2683169286472499797900039
% SZS output start Proof for 2683169286472499797900039
1. ! [X0] : (humble(X0) <=> (~humble(X0) | ~generous(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | kind(X0)) => (funny(X0) & wise(X0))) [input p2]
4. ! [X0] : (~kind(X0) => generous(X0)) [input p3]
24. ~wise(joh... | 0 |
Everyone who is both not tall and not kind is funny or brave and vice versa.
If john is quiet then john is either humble or curious and vice versa.
Everyone who is generous is either tall or quiet.
If someone is either not wise or kind then john is both brave and not strong.
Everyone who is not brave is both brave and ... | John is humble. | contradiction | (![X]:((~tall(X)&~kind(X))<=>(funny(X)|brave(X))))&
((quiet(john))<=>((humble(john)<~>curious(john))))&
(![X]:(generous(X)=>(tall(X)<~>quiet(X))))&
((?[X]:((~wise(X)<~>kind(X))))=>((brave(john)&~strong(john))))&
(![X]:(~brave(X)=>(brave(X)&~brave(X))))&
(![X]:((calm(X)&~quiet(X))=>~brave(X)))&
((?[X]:((~old(X)|curious(... | humble(john) | [
"p1",
"p4",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9103238703966619318582519
% SZS output start Proof for 9103238703966619318582519
2. quiet(john) <=> (humble(john) <~> curious(john)) [input p1]
5. ! [X0] : (~brave(X0) => (~brave(X0) & brave(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) & calm(X0)) => ~brave(X0)) [input p5]
7. ? [X0] : (curio... | 0 |
If someone is both creative and patient then someone is calm and vice versa.
If mary is not generous or not quiet then paul is both creative and brave.
Everyone who is both generous and not wise is old or creative and vice versa.
Everyone who is either not patient or quiet is tall or not curious and vice versa.
If some... | Fred is patient. | contradiction | ((?[X]:((creative(X)&patient(X))))<=>(?[X]:(calm(X))))&
(((~generous(mary)|~quiet(mary)))=>((creative(paul)&brave(paul))))&
(![X]:((generous(X)&~wise(X))<=>(old(X)|creative(X))))&
(![X]:((~patient(X)<~>quiet(X))<=>(tall(X)|~curious(X))))&
((?[X]:((strong(X)&wise(X))))=>((~old(alice)&humble(alice))))&
(![X]:((humble(X)|... | patient(fred) | [
"p2",
"p3",
"p6",
"p9",
"p11",
"p14",
"p15",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3990767769567809513252324
% SZS output start Proof for 3990767769567809513252324
3. ! [X0] : ((~wise(X0) & generous(X0)) <=> (creative(X0) | old(X0))) [input p2]
4. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (~curious(X0) | tall(X0))) [input p3]
7. ! [X0] : (~quiet(X0) <=> ~humble(X0)) [i... | 0 |
Everyone who is not old or patient is both not generous and old and vice versa.
Everyone who is not quiet or not wise is both not kind and quiet and vice versa.
Everyone who is either rich or happy is not strong and vice versa.
If mary is wise or creative then fred is both curious and not curious and vice versa.
Everyo... | Lucy is humble. | entailment | (![X]:((~old(X)|patient(X))<=>(~generous(X)&old(X))))&
(![X]:((~quiet(X)|~wise(X))<=>(~kind(X)&quiet(X))))&
(![X]:((rich(X)<~>happy(X))<=>~strong(X)))&
(((wise(mary)|creative(mary)))<=>((curious(fred)&~curious(fred))))&
(![X]:((~happy(X)|kind(X))<=>(~creative(X)|~happy(X))))&
((?[X]:((~rich(X)|happy(X))))<=>((~old(john... | humble(lucy) | [
"p0",
"p5",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3424540013876249259862917
% SZS output start Proof for 3424540013876249259862917
1. ! [X0] : ((patient(X0) | ~old(X0)) <=> (old(X0) & ~generous(X0))) [input p0]
6. ? [X0] : (happy(X0) | ~rich(X0)) <=> (patient(john) & ~old(john)) [input p5]
15. ! [X0] : (~calm(X0) => (brave(X0) & old(X0))... | 0 |
Everyone who is humble or creative is not old and vice versa.
Everyone who is not creative is brave.
Everyone who is not humble or not creative is both not kind and humble and vice versa.
Everyone who is either not tall or happy is both happy and rich and vice versa.
Everyone who is both not happy and generous is eithe... | Susan is not wise. | contradiction | (![X]:((humble(X)|creative(X))<=>~old(X)))&
(![X]:(~creative(X)=>brave(X)))&
(![X]:((~humble(X)|~creative(X))<=>(~kind(X)&humble(X))))&
(![X]:((~tall(X)<~>happy(X))<=>(happy(X)&rich(X))))&
(![X]:((~happy(X)&generous(X))<=>(~strong(X)<~>~calm(X))))&
(((generous(mary)<~>~old(mary)))<=>((humble(mary)&~quiet(mary))))&
((~c... | ~wise(susan) | [
"p2",
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1450224485275447045244502
% SZS output start Proof for 1450224485275447045244502
3. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (humble(X0) & ~kind(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> happy(X0)) <=> (rich(X0) & happy(X0))) [input p3]
9. ! [X0] : ((~humble(X0) <~> wise(X0)) <=> (t... | 0 |
Everyone who is either old or not old is either humble or kind and vice versa.
Everyone who is not kind is both brave and creative and vice versa.
Everyone who is both strong and not strong is both not kind and not strong and vice versa.
Everyone who is either not funny or not curious is either strong or quiet and vice... | Alice is not wise. | contradiction | (![X]:((old(X)<~>~old(X))<=>(humble(X)<~>kind(X))))&
(![X]:(~kind(X)<=>(brave(X)&creative(X))))&
(![X]:((strong(X)&~strong(X))<=>(~kind(X)&~strong(X))))&
(![X]:((~funny(X)<~>~curious(X))<=>(strong(X)<~>quiet(X))))&
((?[X]:(~old(X)))=>(humble(lucy)))&
((?[X]:(funny(X)))<=>(?[X]:((patient(X)<~>kind(X)))))&
(![X]:((brave(... | ~wise(alice) | [
"p2",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 138471460199365515777049
% SZS output start Proof for 138471460199365515777049
3. ! [X0] : ((~strong(X0) & strong(X0)) <=> (~strong(X0) & ~kind(X0))) [input p2]
14. ! [X0] : (old(X0) <=> (~strong(X0) <~> ~old(X0))) [input p13]
20. ~kind(alice) | wise(alice) [input p19]
22. ~wise(alice) [i... | 0 |
Everyone who is both not humble and quiet is patient or quiet.
Everyone who is not creative or kind is patient and vice versa.
If fred is creative or not generous then john is not creative.
Everyone who is calm or curious is both not curious and not happy and vice versa.
If fred is either calm or not calm then someone ... | Fred is not brave. | neutral | (![X]:((~humble(X)&quiet(X))=>(patient(X)|quiet(X))))&
(![X]:((~creative(X)|kind(X))<=>patient(X)))&
(((creative(fred)|~generous(fred)))=>(~creative(john)))&
(![X]:((calm(X)|curious(X))<=>(~curious(X)&~happy(X))))&
(((calm(fred)<~>~calm(fred)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(rich(X)<=>~brave(X)))&
((?[X]:((~... | ~brave(fred) | [] | null | 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.
... | John is humble. | 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)<~>... | humble(john) | [
"p0",
"p3",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 693489895576285729535196
% SZS output start Proof for 693489895576285729535196
1. ! [X0] : ((humble(X0) & wise(X0)) <=> creative(X0)) [input p0]
4. ! [X0] : (~creative(X0) => (~creative(X0) <~> ~rich(X0))) [input p3]
5. ! [X0] : ((brave(X0) & ~rich(X0)) <=> wise(X0)) [input p4]
8. ? [X0] ... | 0 |
Everyone who is not brave is either not generous or not tall and vice versa. If someone is either patient or humble then lucy is happy or not brave and vice versa. Everyone who is either not humble or kind is rich and vice versa. Everyone who is both not generous and tall is old or curious and vice versa. Everyone who ... | Alice is generous. | neutral | (![X]:(~brave(X)<=>(~generous(X)<~>~tall(X))))&
((?[X]:((patient(X)<~>humble(X))))<=>((happy(lucy)|~brave(lucy))))&
(![X]:((~humble(X)<~>kind(X))<=>rich(X)))&
(![X]:((~generous(X)&tall(X))<=>(old(X)|curious(X))))&
(![X]:((~quiet(X)&~old(X))<=>wise(X)))&
(((brave(lucy)|happy(lucy)))<=>(?[X]:((creative(X)<~>~quiet(X)))))... | generous(alice) | [] | null | 0 |
Everyone who is happy or not patient is either not funny or creative and vice versa. Everyone who is not creative or not happy is wise and vice versa. Everyone who is generous or not creative is both calm and quiet and vice versa. Everyone who is either kind or creative is not brave or calm and vice versa. Everyone who... | Alice is not creative. | contradiction | (![X]:((happy(X)|~patient(X))<=>(~funny(X)<~>creative(X))))&
(![X]:((~creative(X)|~happy(X))<=>wise(X)))&
(![X]:((generous(X)|~creative(X))<=>(calm(X)&quiet(X))))&
(![X]:((kind(X)<~>creative(X))<=>(~brave(X)|calm(X))))&
(![X]:(humble(X)<=>(~humble(X)<~>humble(X))))&
(![X]:((old(X)<~>strong(X))=>(~rich(X)&~happy(X))))&
... | ~creative(alice) | [
"p1",
"p6",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8772915275582876577476941
% SZS output start Proof for 8772915275582876577476941
2. ! [X0] : ((~happy(X0) | ~creative(X0)) <=> wise(X0)) [input p1]
7. ! [X0] : ((~funny(X0) | ~calm(X0)) => (~happy(X0) <~> wise(X0))) [input p6]
10. ? [X0] : ~creative(X0) <=> ? [X0] : (brave(X0) & ~funny(X0... | 0 |
If john is not calm or not creative then someone is curious and vice versa.
Everyone who is both not generous and kind is both not quiet and not creative.
Everyone who is tall is not strong or not tall and vice versa.
If someone is humble then someone is both not creative and not humble and vice versa.
If lucy is both ... | Paul is calm. | contradiction | (((~calm(john)|~creative(john)))<=>(?[X]:(curious(X))))&
(![X]:((~generous(X)&kind(X))=>(~quiet(X)&~creative(X))))&
(![X]:(tall(X)<=>(~strong(X)|~tall(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~creative(X)&~humble(X)))))&
(((calm(lucy)&~funny(lucy)))=>(?[X]:((~kind(X)&~happy(X)))))&
(![X]:((curious(X)|old(X))<=>patient(X)))... | calm(paul) | [
"p2",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3927742268563030192807607
% SZS output start Proof for 3927742268563030192807607
3. ! [X0] : (tall(X0) <=> (~tall(X0) | ~strong(X0))) [input p2]
21. ~tall(paul) | ~calm(paul) [input p20]
24. calm(paul) [input hypothesis]
44. ! [X0] : ((tall(X0) | (tall(X0) & strong(X0))) & ((~tall(X0) | ~... | 0 |
If fred is either not happy or curious then alice is either kind or tall and vice versa.
Everyone who is both not tall and happy is either happy or not happy and vice versa.
If someone is generous or not old then susan is tall or not strong.
Everyone who is either quiet or not humble is both not kind and generous and v... | Paul is not strong. | entailment | (((~happy(fred)<~>curious(fred)))<=>((kind(alice)<~>tall(alice))))&
(![X]:((~tall(X)&happy(X))<=>(happy(X)<~>~happy(X))))&
((?[X]:((generous(X)|~old(X))))=>((tall(susan)|~strong(susan))))&
(![X]:((quiet(X)<~>~humble(X))<=>(~kind(X)&generous(X))))&
((brave(susan))=>((wise(mary)&~happy(mary))))&
(((~curious(alice)<~>brav... | ~strong(paul) | [
"p1",
"p3",
"p8",
"p9",
"p11",
"p12",
"p15",
"p16",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5341860084700618479926622
% SZS output start Proof for 5341860084700618479926622
2. ! [X0] : ((happy(X0) & ~tall(X0)) <=> (happy(X0) <~> ~happy(X0))) [input p1]
4. ! [X0] : ((quiet(X0) <~> ~humble(X0)) <=> (generous(X0) & ~kind(X0))) [input p3]
9. ! [X0] : ((funny(X0) & old(X0)) <=> (crea... | 0 |
Everyone who is generous is not funny and vice versa. Everyone who is both not creative and not calm is not brave. Everyone who is not generous or not rich is either tall or funny and vice versa. If alice is both not brave and not happy then someone is quiet or not old. If john is both calm and happy then someone is cr... | Susan is tall. | contradiction | (![X]:(generous(X)<=>~funny(X)))&
(![X]:((~creative(X)&~calm(X))=>~brave(X)))&
(![X]:((~generous(X)|~rich(X))<=>(tall(X)<~>funny(X))))&
(((~brave(alice)&~happy(alice)))=>(?[X]:((quiet(X)|~old(X)))))&
(((calm(john)&happy(john)))=>(?[X]:((creative(X)|~brave(X)))))&
((?[X]:((~creative(X)<~>rich(X))))<=>((old(fred)<~>~humb... | tall(susan) | [
"p0",
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6339023015609135340802084
% SZS output start Proof for 6339023015609135340802084
1. ! [X0] : (generous(X0) <=> ~funny(X0)) [input p0]
3. ! [X0] : ((~rich(X0) | ~generous(X0)) <=> (tall(X0) <~> funny(X0))) [input p2]
16. funny(susan) [input p15]
24. tall(susan) [input hypothesis]
40. ! [X0... | 0 |
Everyone who is curious or wise is either funny or brave.
Everyone who is either not quiet or patient is either rich or not tall and vice versa.
If someone is either not quiet or not tall then someone is either not funny or brave and vice versa.
Everyone who is calm or not funny is not happy.
Everyone who is humble is ... | Susan is not quiet. | entailment | (![X]:((curious(X)|wise(X))=>(funny(X)<~>brave(X))))&
(![X]:((~quiet(X)<~>patient(X))<=>(rich(X)<~>~tall(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(![X]:((calm(X)|~funny(X))=>~happy(X)))&
(![X]:(humble(X)<=>(old(X)&kind(X))))&
(![X]:((old(X)<~>~curious(X))=>tall(X)))&
((?[X]:((~generou... | ~quiet(susan) | [
"p0",
"p3",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 24100821725658282987552
% SZS output start Proof for 24100821725658282987552
1. ! [X0] : ((wise(X0) | curious(X0)) => (funny(X0) <~> brave(X0))) [input p0]
4. ! [X0] : ((~funny(X0) | calm(X0)) => ~happy(X0)) [input p3]
8. ! [X0] : ((~old(X0) | wise(X0)) => ~funny(X0)) [input p7]
12. ! [X0... | 0 |
If someone is quiet then mary is patient or happy.
Everyone who is not old or wise is quiet or not calm and vice versa.
If someone is both quiet and not strong then someone is rich or kind.
Everyone who is either not generous or not rich is happy and vice versa.
If susan is not calm then fred is humble and vice versa.
... | Mary is not generous. | contradiction | ((?[X]:(quiet(X)))=>((patient(mary)|happy(mary))))&
(![X]:((~old(X)|wise(X))<=>(quiet(X)|~calm(X))))&
((?[X]:((quiet(X)&~strong(X))))=>(?[X]:((rich(X)|kind(X)))))&
(![X]:((~generous(X)<~>~rich(X))<=>happy(X)))&
((~calm(susan))<=>(humble(fred)))&
(![X]:((~old(X)&strong(X))<=>(~calm(X)&quiet(X))))&
(![X]:((~rich(X)<~>str... | ~generous(mary) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p8",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8020400976492034970865502
% SZS output start Proof for 8020400976492034970865502
1. ? [X0] : quiet(X0) => (happy(mary) | patient(mary)) [input p0]
2. ! [X0] : ((wise(X0) | ~old(X0)) <=> (~calm(X0) | quiet(X0))) [input p1]
4. ! [X0] : ((~generous(X0) <~> ~rich(X0)) <=> happy(X0)) [input p3... | 0 |
Everyone who is either not kind or strong is either rich or creative and vice versa. Everyone who is old is curious. If someone is either brave or wise then someone is not quiet and vice versa. If john is both not funny and quiet then alice is generous. Everyone who is happy is both wise and not generous. Everyone who ... | Mary is happy. | neutral | (![X]:((~kind(X)<~>strong(X))<=>(rich(X)<~>creative(X))))&
(![X]:(old(X)=>curious(X)))&
((?[X]:((brave(X)<~>wise(X))))<=>(?[X]:(~quiet(X))))&
(((~funny(john)&quiet(john)))=>(generous(alice)))&
(![X]:(happy(X)=>(wise(X)&~generous(X))))&
(![X]:(~creative(X)<=>~quiet(X)))&
(![X]:((~curious(X)|kind(X))=>(old(X)&tall(X))))&... | happy(mary) | [] | null | 0 |
If paul is both humble and not old then someone is not creative or not curious and vice versa.
If someone is old or rich then john is either creative or curious.
If susan is both not curious and not calm then someone is tall or not quiet and vice versa.
Everyone who is either not patient or not rich is not rich or not ... | Paul is brave. | entailment | (((humble(paul)&~old(paul)))<=>(?[X]:((~creative(X)|~curious(X)))))&
((?[X]:((old(X)|rich(X))))=>((creative(john)<~>curious(john))))&
(((~curious(susan)&~calm(susan)))<=>(?[X]:((tall(X)|~quiet(X)))))&
(![X]:((~patient(X)<~>~rich(X))<=>(~rich(X)|~strong(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(brave(X)&generous(X))))&
... | brave(paul) | [
"p0",
"p2",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2972160371609496292461235
% SZS output start Proof for 2972160371609496292461235
1. (~old(paul) & humble(paul)) <=> ? [X0] : (~curious(X0) | ~creative(X0)) [input p0]
3. (~calm(susan) & ~curious(susan)) <=> ? [X0] : (~quiet(X0) | tall(X0)) [input p2]
6. ! [X0] : ((~brave(X0) | ~wise(X0)) ... | 0 |
Everyone who is not happy is both not old and not kind. Everyone who is happy or creative is happy or not patient and vice versa. If someone is not generous or strong then lucy is not brave or quiet. Everyone who is both humble and rich is either funny or brave and vice versa. Everyone who is both strong and not rich i... | John is not happy. | entailment | (![X]:(~happy(X)=>(~old(X)&~kind(X))))&
(![X]:((happy(X)|creative(X))<=>(happy(X)|~patient(X))))&
((?[X]:((~generous(X)|strong(X))))=>((~brave(lucy)|quiet(lucy))))&
(![X]:((humble(X)&rich(X))<=>(funny(X)<~>brave(X))))&
(![X]:((strong(X)&~rich(X))=>wise(X)))&
(![X]:((~quiet(X)<~>humble(X))<=>(calm(X)|rich(X))))&
(![X]:(... | ~happy(john) | [
"p5",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 302884956786233272154747
% SZS output start Proof for 302884956786233272154747
6. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (rich(X0) | calm(X0))) [input p5]
10. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> (quiet(X0) | ~rich(X0))) [input p9]
19. ~strong(john) & humble(john) [input p18]
25. hap... | 0 |
Everyone who is not happy or wise is not happy.
If mary is either quiet or not funny then someone is either not humble or not quiet.
If someone is curious or kind then someone is either strong or not brave.
If someone is both not wise and not patient then someone is not strong or not funny and vice versa.
Everyone who ... | Alice is generous. | entailment | (![X]:((~happy(X)|wise(X))=>~happy(X)))&
(((quiet(mary)<~>~funny(mary)))=>(?[X]:((~humble(X)<~>~quiet(X)))))&
((?[X]:((curious(X)|kind(X))))=>(?[X]:((strong(X)<~>~brave(X)))))&
((?[X]:((~wise(X)&~patient(X))))<=>(?[X]:((~strong(X)|~funny(X)))))&
(![X]:((~quiet(X)<~>strong(X))<=>old(X)))&
(![X]:((funny(X)&~happy(X))=>~c... | generous(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7348327462149438051425329
% SZS output start Proof for 7348327462149438051425329
9. ! [X0] : ((~generous(X0) | calm(X0)) => (happy(X0) & generous(X0))) [input p8]
23. ~generous(alice) [input hypothesis]
37. ! [X0] : ((happy(X0) & generous(X0)) | (generous(X0) & ~calm(X0))) [ennf transform... | 0 |
If alice is either funny or not strong then lucy is not brave or brave. If fred is not strong or creative then john is either not quiet or kind. Everyone who is brave or tall is tall. Everyone who is both not tall and not patient is either tall or happy. Everyone who is not brave is either old or rich and vice versa. I... | Fred is kind. | neutral | (((funny(alice)<~>~strong(alice)))=>((~brave(lucy)|brave(lucy))))&
(((~strong(fred)|creative(fred)))=>((~quiet(john)<~>kind(john))))&
(![X]:((brave(X)|tall(X))=>tall(X)))&
(![X]:((~tall(X)&~patient(X))=>(tall(X)<~>happy(X))))&
(![X]:(~brave(X)<=>(old(X)<~>rich(X))))&
(((generous(john)&humble(john)))=>(?[X]:((~tall(X)<~... | kind(fred) | [] | null | 0 |
Everyone who is not humble or not tall is not calm or humble and vice versa. If susan is both not generous and kind then fred is either not brave or not kind. Everyone who is both not old and tall is creative or old and vice versa. Everyone who is both not humble and not patient is not brave or patient and vice versa. ... | Fred is creative. | neutral | (![X]:((~humble(X)|~tall(X))<=>(~calm(X)|humble(X))))&
(((~generous(susan)&kind(susan)))=>((~brave(fred)<~>~kind(fred))))&
(![X]:((~old(X)&tall(X))<=>(creative(X)|old(X))))&
(![X]:((~humble(X)&~patient(X))<=>(~brave(X)|patient(X))))&
(![X]:((~creative(X)|wise(X))=>(~curious(X)|humble(X))))&
(![X]:((tall(X)|~tall(X))=>(... | creative(fred) | [] | null | 0 |
If someone is not kind then someone is both rich and not happy. If someone is both generous and curious then someone is rich and vice versa. Everyone who is not kind or not wise is not old or not patient. Everyone who is both kind and humble is generous or happy and vice versa. Everyone who is both rich and funny is no... | Alice is not tall. | entailment | ((?[X]:(~kind(X)))=>(?[X]:((rich(X)&~happy(X)))))&
((?[X]:((generous(X)&curious(X))))<=>(?[X]:(rich(X))))&
(![X]:((~kind(X)|~wise(X))=>(~old(X)|~patient(X))))&
(![X]:((kind(X)&humble(X))<=>(generous(X)|happy(X))))&
(![X]:((rich(X)&funny(X))<=>(~old(X)|wise(X))))&
(![X]:((wise(X)<~>~curious(X))=>(curious(X)&~brave(X))))... | ~tall(alice) | [
"p4",
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2844051144803325072840355
% SZS output start Proof for 2844051144803325072840355
5. ! [X0] : ((funny(X0) & rich(X0)) <=> (wise(X0) | ~old(X0))) [input p4]
6. ! [X0] : ((wise(X0) <~> ~curious(X0)) => (~brave(X0) & curious(X0))) [input p5]
7. ! [X0] : ((funny(X0) & tall(X0)) => (~wise(X0) &... | 0 |
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