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 quiet is not quiet or creative and vice versa.
Everyone who is tall is either brave or not brave and vice versa.
Everyone who is not curious is brave or quiet.
If someone is not rich then mary is not curious and vice versa.
If alice is either happy or curious then alice is either happy or not kind.
Ever... | Alice is not creative. | contradiction | (![X]:(quiet(X)<=>(~quiet(X)|creative(X))))&
(![X]:(tall(X)<=>(brave(X)<~>~brave(X))))&
(![X]:(~curious(X)=>(brave(X)|quiet(X))))&
((?[X]:(~rich(X)))<=>(~curious(mary)))&
(((happy(alice)<~>curious(alice)))=>((happy(alice)<~>~kind(alice))))&
(![X]:((creative(X)&funny(X))=>(~generous(X)&generous(X))))&
(![X]:((~old(X)<~>... | ~creative(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 6174976458775363301123837
% SZS output start Proof for 6174976458775363301123837
1. ! [X0] : (quiet(X0) <=> (creative(X0) | ~quiet(X0))) [input p0]
23. ~creative(alice) [input hypothesis]
40. ! [X0] : ((quiet(X0) | (~creative(X0) & quiet(X0))) & ((creative(X0) | ~quiet(X0)) | ~quiet(X0)))... | 0 |
If alice is both not brave and not calm then someone is wise or creative.
If someone is either not patient or not kind then fred is tall.
Everyone who is both humble and kind is both not funny and tall and vice versa.
Everyone who is both old and not old is both rich and funny and vice versa.
If someone is either not w... | Susan is not funny. | entailment | (((~brave(alice)&~calm(alice)))=>(?[X]:((wise(X)|creative(X)))))&
((?[X]:((~patient(X)<~>~kind(X))))=>(tall(fred)))&
(![X]:((humble(X)&kind(X))<=>(~funny(X)&tall(X))))&
(![X]:((old(X)&~old(X))<=>(rich(X)&funny(X))))&
((?[X]:((~wise(X)<~>~funny(X))))=>((~humble(mary)&~happy(mary))))&
((?[X]:((kind(X)|tall(X))))<=>((~pat... | ~funny(susan) | [
"p1",
"p3",
"p5",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2111254026731195266538964
% SZS output start Proof for 2111254026731195266538964
2. ? [X0] : (~patient(X0) <~> ~kind(X0)) => tall(fred) [input p1]
4. ! [X0] : ((~old(X0) & old(X0)) <=> (funny(X0) & rich(X0))) [input p3]
6. ? [X0] : (tall(X0) | kind(X0)) <=> (~patient(susan) <~> ~happy(sus... | 0 |
Everyone who is both not calm and not patient is not quiet. Everyone who is not funny is not patient or not old and vice versa. If paul is not old or patient then lucy is rich or funny. Everyone who is not wise is both rich and brave. Everyone who is either not humble or not old is either not strong or wise and vice ve... | Lucy is not curious. | neutral | (![X]:((~calm(X)&~patient(X))=>~quiet(X)))&
(![X]:(~funny(X)<=>(~patient(X)|~old(X))))&
(((~old(paul)|patient(paul)))=>((rich(lucy)|funny(lucy))))&
(![X]:(~wise(X)=>(rich(X)&brave(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(~strong(X)<~>wise(X))))&
(((~generous(fred)|quiet(fred)))=>((~happy(paul)&~kind(paul))))&
((?[X]:((~... | ~curious(lucy) | [] | null | 0 |
If someone is not wise then paul is old or calm.
If someone is both not wise and creative then someone is both not curious and not creative.
Everyone who is both wise and not quiet is creative and vice versa.
If someone is rich then someone is both not brave and creative and vice versa.
If alice is not tall then mary i... | Paul is not rich. | entailment | ((?[X]:(~wise(X)))=>((old(paul)|calm(paul))))&
((?[X]:((~wise(X)&creative(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
(![X]:((wise(X)&~quiet(X))<=>creative(X)))&
((?[X]:(rich(X)))<=>(?[X]:((~brave(X)&creative(X)))))&
((~tall(alice))<=>((wise(mary)<~>curious(mary))))&
(![X]:((~patient(X)&calm(X))<=>strong(X)))&
(![X]:(... | ~rich(paul) | [
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4368310369875230571456491
% SZS output start Proof for 4368310369875230571456491
3. ! [X0] : ((~quiet(X0) & wise(X0)) <=> creative(X0)) [input p2]
4. ? [X0] : rich(X0) <=> ? [X0] : (creative(X0) & ~brave(X0)) [input p3]
11. ! [X0] : ((curious(X0) & ~quiet(X0)) <=> ~curious(X0)) [input p10... | 0 |
If mary is both not generous and generous then fred is old. Everyone who is both quiet and not generous is both not rich and curious. Everyone who is funny is either not happy or not patient. Everyone who is both calm and not quiet is either not humble or not wise. If someone is either generous or curious then someone ... | Fred is brave. | contradiction | (((~generous(mary)&generous(mary)))=>(old(fred)))&
(![X]:((quiet(X)&~generous(X))=>(~rich(X)&curious(X))))&
(![X]:(funny(X)=>(~happy(X)<~>~patient(X))))&
(![X]:((calm(X)&~quiet(X))=>(~humble(X)<~>~wise(X))))&
((?[X]:((generous(X)<~>curious(X))))<=>(?[X]:(humble(X))))&
(![X]:((tall(X)<~>kind(X))=>wise(X)))&
((?[X]:(~cal... | brave(fred) | [
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 160688651020216771423624
% SZS output start Proof for 160688651020216771423624
9. ! [X0] : (creative(X0) <=> (~strong(X0) | generous(X0))) [input p8]
11. ! [X0] : (~humble(X0) <=> (~humble(X0) <~> creative(X0))) [input p10]
14. ! [X0] : (~brave(X0) <=> (~tall(X0) | strong(X0))) [input p13... | 0 |
Everyone who is both not quiet and not tall is happy or not happy and vice versa. Everyone who is curious is both rich and patient. Everyone who is strong or not patient is not patient. Everyone who is not quiet or not calm is either not curious or strong. Everyone who is kind or creative is generous or tall. If alice ... | Fred is curious. | contradiction | (![X]:((~quiet(X)&~tall(X))<=>(happy(X)|~happy(X))))&
(![X]:(curious(X)=>(rich(X)&patient(X))))&
(![X]:((strong(X)|~patient(X))=>~patient(X)))&
(![X]:((~quiet(X)|~calm(X))=>(~curious(X)<~>strong(X))))&
(![X]:((kind(X)|creative(X))=>(generous(X)|tall(X))))&
((~happy(alice))<=>(?[X]:((~brave(X)&~happy(X)))))&
(![X]:((~qu... | curious(fred) | [
"p0",
"p1",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 683134514515453073233259
% SZS output start Proof for 683134514515453073233259
1. ! [X0] : ((~tall(X0) & ~quiet(X0)) <=> (~happy(X0) | happy(X0))) [input p0]
2. ! [X0] : (curious(X0) => (patient(X0) & rich(X0))) [input p1]
3. ! [X0] : ((~patient(X0) | strong(X0)) => ~patient(X0)) [input p... | 0 |
If someone is both quiet and not rich then someone is both quiet and not curious and vice versa. Everyone who is curious or generous is both rich and not wise and vice versa. If someone is humble then someone is not old or not tall and vice versa. Everyone who is not happy is either brave or generous. Everyone who is n... | Susan is wise. | neutral | ((?[X]:((quiet(X)&~rich(X))))<=>(?[X]:((quiet(X)&~curious(X)))))&
(![X]:((curious(X)|generous(X))<=>(rich(X)&~wise(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:(~happy(X)=>(brave(X)<~>generous(X))))&
(![X]:((~brave(X)|funny(X))<=>tall(X)))&
(![X]:((humble(X)|~rich(X))=>~creative(X)))&
(![X]:(~wise(X... | wise(susan) | [] | null | 0 |
If someone is both not calm and rich then john is both old and tall.
If susan is both rich and not calm then mary is not old and vice versa.
If someone is either happy or not funny then paul is happy and vice versa.
If someone is curious or kind then someone is both not quiet and curious.
If lucy is not quiet then some... | Lucy is not wise. | neutral | ((?[X]:((~calm(X)&rich(X))))=>((old(john)&tall(john))))&
(((rich(susan)&~calm(susan)))<=>(~old(mary)))&
((?[X]:((happy(X)<~>~funny(X))))<=>(happy(paul)))&
((?[X]:((curious(X)|kind(X))))=>(?[X]:((~quiet(X)&curious(X)))))&
((~quiet(lucy))<=>(?[X]:((~happy(X)<~>~wise(X)))))&
(![X]:((calm(X)|rich(X))<=>(~curious(X)<~>~stro... | ~wise(lucy) | [] | null | 0 |
Everyone who is kind is both not calm and wise.
If someone is not strong then someone is strong or not rich.
Everyone who is both not curious and not strong is not funny or quiet and vice versa.
Everyone who is not curious or humble is not kind.
If someone is generous then lucy is generous or not happy.
Everyone who is... | Mary is happy. | neutral | (![X]:(kind(X)=>(~calm(X)&wise(X))))&
((?[X]:(~strong(X)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((~curious(X)&~strong(X))<=>(~funny(X)|quiet(X))))&
(![X]:((~curious(X)|humble(X))=>~kind(X)))&
((?[X]:(generous(X)))=>((generous(lucy)|~happy(lucy))))&
(![X]:((kind(X)|wise(X))<=>brave(X)))&
((?[X]:(curious(X)))=>((kind(f... | happy(mary) | [] | null | 0 |
Everyone who is calm or generous is both not funny and not curious and vice versa.
Everyone who is both not rich and not generous is both not strong and not old.
Everyone who is kind is either curious or generous and vice versa.
If alice is either not old or not quiet then someone is generous.
Everyone who is both funn... | Fred is generous. | contradiction | (![X]:((calm(X)|generous(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~rich(X)&~generous(X))=>(~strong(X)&~old(X))))&
(![X]:(kind(X)<=>(curious(X)<~>generous(X))))&
(((~old(alice)<~>~quiet(alice)))=>(?[X]:(generous(X))))&
(![X]:((funny(X)&~tall(X))<=>~funny(X)))&
(![X]:((~patient(X)&calm(X))=>~funny(X)))&
(((~kind(susan)&k... | generous(fred) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4183813692472908583998609
% SZS output start Proof for 4183813692472908583998609
1. ! [X0] : ((generous(X0) | calm(X0)) <=> (~curious(X0) & ~funny(X0))) [input p0]
5. ! [X0] : ((~tall(X0) & funny(X0)) <=> ~funny(X0)) [input p4]
21. generous(fred) [input hypothesis]
34. ! [X0] : (((generou... | 0 |
If fred is not creative then paul is not kind.
Everyone who is patient is not generous or generous.
If mary is either not tall or tall then someone is either patient or humble and vice versa.
If someone is either not curious or generous then lucy is not kind or not happy and vice versa.
If someone is both not kind and ... | Lucy is not wise. | contradiction | ((~creative(fred))=>(~kind(paul)))&
(![X]:(patient(X)=>(~generous(X)|generous(X))))&
(((~tall(mary)<~>tall(mary)))<=>(?[X]:((patient(X)<~>humble(X)))))&
((?[X]:((~curious(X)<~>generous(X))))<=>((~kind(lucy)|~happy(lucy))))&
((?[X]:((~kind(X)&~patient(X))))=>(?[X]:((curious(X)&quiet(X)))))&
((?[X]:(~humble(X)))<=>((brav... | ~wise(lucy) | [
"p3",
"p9",
"p10",
"p12",
"p13",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2421636273760399353115067
% SZS output start Proof for 2421636273760399353115067
4. ? [X0] : (~curious(X0) <~> generous(X0)) <=> (~happy(lucy) | ~kind(lucy)) [input p3]
10. ! [X0] : ((~brave(X0) | ~tall(X0)) => (curious(X0) & kind(X0))) [input p9]
11. ! [X0] : ((happy(X0) | tall(X0)) => (... | 0 |
Everyone who is creative or not happy is both not tall and calm and vice versa.
Everyone who is not funny or not humble is not generous or curious and vice versa.
If someone is humble then mary is either not happy or not brave and vice versa.
Everyone who is curious is not generous or not creative.
Everyone who is eith... | Lucy is funny. | contradiction | (![X]:((creative(X)|~happy(X))<=>(~tall(X)&calm(X))))&
(![X]:((~funny(X)|~humble(X))<=>(~generous(X)|curious(X))))&
((?[X]:(humble(X)))<=>((~happy(mary)<~>~brave(mary))))&
(![X]:(curious(X)=>(~generous(X)|~creative(X))))&
(![X]:((~calm(X)<~>~brave(X))=>(patient(X)&~kind(X))))&
(![X]:(~patient(X)<=>(~wise(X)<~>humble(X)... | funny(lucy) | [
"p1",
"p5",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4461473737917236803455889
% SZS output start Proof for 4461473737917236803455889
2. ! [X0] : ((~humble(X0) | ~funny(X0)) <=> (curious(X0) | ~generous(X0))) [input p1]
6. ! [X0] : (~patient(X0) <=> (~wise(X0) <~> humble(X0))) [input p5]
8. ! [X0] : (~funny(X0) <=> (~patient(X0) <~> wise(X0... | 0 |
If john is both creative and not happy then fred is kind and vice versa. Everyone who is both calm and not tall is either not brave or not funny. If someone is not patient or not strong then someone is wise and vice versa. Everyone who is both brave and not strong is rich or not happy and vice versa. Everyone who is bo... | Paul is quiet. | neutral | (((creative(john)&~happy(john)))<=>(kind(fred)))&
(![X]:((calm(X)&~tall(X))=>(~brave(X)<~>~funny(X))))&
((?[X]:((~patient(X)|~strong(X))))<=>(?[X]:(wise(X))))&
(![X]:((brave(X)&~strong(X))<=>(rich(X)|~happy(X))))&
(![X]:((~rich(X)&~generous(X))<=>(~happy(X)<~>curious(X))))&
(![X]:((~creative(X)|generous(X))<=>(~calm(X)... | quiet(paul) | [] | null | 0 |
Everyone who is not generous is either kind or wise. If alice is quiet or not old then someone is not strong and vice versa. Everyone who is either not patient or not brave is happy or not brave and vice versa. If someone is calm then lucy is either old or wise and vice versa. Everyone who is both kind and not curious ... | Paul is not kind. | contradiction | (![X]:(~generous(X)=>(kind(X)<~>wise(X))))&
(((quiet(alice)|~old(alice)))<=>(?[X]:(~strong(X))))&
(![X]:((~patient(X)<~>~brave(X))<=>(happy(X)|~brave(X))))&
((?[X]:(calm(X)))<=>((old(lucy)<~>wise(lucy))))&
(![X]:((kind(X)&~curious(X))=>(tall(X)&~quiet(X))))&
(![X]:((brave(X)&generous(X))<=>(strong(X)|brave(X))))&
(((cu... | ~kind(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4354835239882478344405519
% SZS output start Proof for 4354835239882478344405519
23. kind(paul) & funny(paul) [input p22]
25. ~kind(paul) [input hypothesis]
130. kind(paul) [cnf transformation 23]
131. ~kind(paul) [cnf transformation 25]
276. $false [subsumption resolution 131,130]
% SZS ... | 0 |
If someone is wise then john is not rich.
Everyone who is both curious and not creative is either wise or rich.
If paul is both not tall and not creative then someone is either funny or not wise.
If lucy is not rich or not tall then someone is generous.
Everyone who is either not calm or brave is not tall.
If someone i... | John is not curious. | neutral | ((?[X]:(wise(X)))=>(~rich(john)))&
(![X]:((curious(X)&~creative(X))=>(wise(X)<~>rich(X))))&
(((~tall(paul)&~creative(paul)))=>(?[X]:((funny(X)<~>~wise(X)))))&
(((~rich(lucy)|~tall(lucy)))=>(?[X]:(generous(X))))&
(![X]:((~calm(X)<~>brave(X))=>~tall(X)))&
((?[X]:((~calm(X)<~>~creative(X))))=>(?[X]:((~curious(X)|wise(X)))... | ~curious(john) | [] | null | 0 |
Everyone who is not funny or not generous is not brave or curious and vice versa.
Everyone who is not brave or quiet is both humble and generous.
If someone is either not strong or not humble then someone is tall and vice versa.
Everyone who is not brave is either not calm or strong.
Everyone who is patient is both hum... | Lucy is not happy. | entailment | (![X]:((~funny(X)|~generous(X))<=>(~brave(X)|curious(X))))&
(![X]:((~brave(X)|quiet(X))=>(humble(X)&generous(X))))&
((?[X]:((~strong(X)<~>~humble(X))))<=>(?[X]:(tall(X))))&
(![X]:(~brave(X)=>(~calm(X)<~>strong(X))))&
(![X]:(patient(X)=>(humble(X)&~generous(X))))&
(![X]:((~old(X)|~patient(X))<=>~creative(X)))&
((?[X]:((... | ~happy(lucy) | [
"p0",
"p1",
"p7",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 165503140361631582341267
% SZS output start Proof for 165503140361631582341267
1. ! [X0] : ((~generous(X0) | ~funny(X0)) <=> (curious(X0) | ~brave(X0))) [input p0]
2. ! [X0] : ((quiet(X0) | ~brave(X0)) => (generous(X0) & humble(X0))) [input p1]
8. ! [X0] : ((strong(X0) <~> ~creative(X0)) ... | 0 |
If paul is either not tall or wise then someone is not kind.
Everyone who is rich is either not curious or funny.
Everyone who is both tall and not humble is either not curious or not funny and vice versa.
Everyone who is not creative or not tall is either not kind or not quiet and vice versa.
If susan is not patient t... | Alice is old. | neutral | (((~tall(paul)<~>wise(paul)))=>(?[X]:(~kind(X))))&
(![X]:(rich(X)=>(~curious(X)<~>funny(X))))&
(![X]:((tall(X)&~humble(X))<=>(~curious(X)<~>~funny(X))))&
(![X]:((~creative(X)|~tall(X))<=>(~kind(X)<~>~quiet(X))))&
((~patient(susan))<=>((~rich(john)|~kind(john))))&
(![X]:((creative(X)<~>~old(X))<=>(~brave(X)<~>old(X))))&... | old(alice) | [] | null | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is either strong or not wise is happy and vice versa.
Everyone who is curious is calm.
Everyone who is either curious or not brave is strong and vice versa.
Everyone who is either not wis... | Mary is not calm. | entailment | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious(X)&~creative(X))<=>(~funny(X)|calm(X))))&
((rich(fred... | ~calm(mary) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 9020133424401526218168114
% SZS output start Proof for 9020133424401526218168114
1. ! [X0] : (~curious(X0) <=> ~kind(X0)) [input p0]
2. ! [X0] : (~calm(X0) <=> (strong(X0) | ~happy(X0))) [input p1]
3. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> happy(X0)) [input p2]
5. ! [X0] : ((curious(X0)... | 0 |
Everyone who is both old and not patient is either humble or tall and vice versa. Everyone who is not generous is happy or not kind. Everyone who is either strong or tall is not calm or calm. If lucy is rich then alice is both not humble and curious and vice versa. Everyone who is either not creative or not curious is ... | Lucy is not curious. | contradiction | (![X]:((old(X)&~patient(X))<=>(humble(X)<~>tall(X))))&
(![X]:(~generous(X)=>(happy(X)|~kind(X))))&
(![X]:((strong(X)<~>tall(X))=>(~calm(X)|calm(X))))&
((rich(lucy))<=>((~humble(alice)&curious(alice))))&
(![X]:((~creative(X)<~>~curious(X))=>kind(X)))&
(![X]:((patient(X)|funny(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((~hu... | ~curious(lucy) | [
"p8",
"p10",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5215122750265765297110585
% SZS output start Proof for 5215122750265765297110585
9. ! [X0] : ((~humble(X0) | brave(X0)) => kind(X0)) [input p8]
11. ? [X0] : humble(X0) <=> (~calm(lucy) & ~funny(lucy)) [input p10]
16. ! [X0] : ((generous(X0) | ~calm(X0)) => curious(X0)) [input p15]
23. ? [... | 0 |
Everyone who is generous or not strong is both not patient and old and vice versa.
Everyone who is happy is both brave and kind and vice versa.
If fred is not old then someone is both happy and creative.
Everyone who is either creative or kind is both not tall and curious and vice versa.
If someone is generous or brave... | Alice is not old. | contradiction | (![X]:((generous(X)|~strong(X))<=>(~patient(X)&old(X))))&
(![X]:(happy(X)<=>(brave(X)&kind(X))))&
((~old(fred))=>(?[X]:((happy(X)&creative(X)))))&
(![X]:((creative(X)<~>kind(X))<=>(~tall(X)&curious(X))))&
((?[X]:((generous(X)|brave(X))))=>(?[X]:(curious(X))))&
(![X]:((tall(X)|~old(X))<=>(~brave(X)&~curious(X))))&
(![X]... | ~old(alice) | [
"p5",
"p8",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1417542818192064800358912
% SZS output start Proof for 1417542818192064800358912
6. ! [X0] : ((~old(X0) | tall(X0)) <=> (~curious(X0) & ~brave(X0))) [input p5]
9. ! [X0] : ((rich(X0) | ~tall(X0)) <=> creative(X0)) [input p8]
10. ? [X0] : (curious(X0) & creative(X0)) <=> (~brave(alice) <~>... | 0 |
If someone is happy then someone is tall or humble.
Everyone who is quiet is either not rich or creative.
Everyone who is either funny or wise is either tall or not rich.
If mary is not strong then someone is not old or not funny and vice versa.
Everyone who is old or not humble is both patient and curious and vice ver... | Fred is strong. | entailment | ((?[X]:(happy(X)))=>(?[X]:((tall(X)|humble(X)))))&
(![X]:(quiet(X)=>(~rich(X)<~>creative(X))))&
(![X]:((funny(X)<~>wise(X))=>(tall(X)<~>~rich(X))))&
((~strong(mary))<=>(?[X]:((~old(X)|~funny(X)))))&
(![X]:((old(X)|~humble(X))<=>(patient(X)&curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((strong(X)&~generous(X)))))&
(![X]:(cu... | strong(fred) | [
"p4",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 624039795438279692298708
% SZS output start Proof for 624039795438279692298708
5. ! [X0] : ((~humble(X0) | old(X0)) <=> (curious(X0) & patient(X0))) [input p4]
10. ! [X0] : (funny(X0) => old(X0)) [input p9]
12. ! [X0] : ((funny(X0) | strong(X0)) <=> (patient(X0) | ~patient(X0))) [input p1... | 0 |
Everyone who is both not kind and not wise is strong.
Everyone who is not calm or rich is both not tall and not rich and vice versa.
Everyone who is either old or funny is both brave and not quiet.
If mary is either creative or patient then someone is both rich and funny and vice versa.
Everyone who is rich is either r... | Mary is not quiet. | entailment | (![X]:((~kind(X)&~wise(X))=>strong(X)))&
(![X]:((~calm(X)|rich(X))<=>(~tall(X)&~rich(X))))&
(![X]:((old(X)<~>funny(X))=>(brave(X)&~quiet(X))))&
(((creative(mary)<~>patient(mary)))<=>(?[X]:((rich(X)&funny(X)))))&
(![X]:(rich(X)<=>(rich(X)<~>patient(X))))&
((?[X]:((tall(X)|~humble(X))))=>((~rich(paul)<~>rich(paul))))&
(!... | ~quiet(mary) | [
"p1",
"p2",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4913206159947688018913296
% SZS output start Proof for 4913206159947688018913296
2. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (~rich(X0) & ~tall(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> funny(X0)) => (~quiet(X0) & brave(X0))) [input p2]
5. ! [X0] : (rich(X0) <=> (rich(X0) <~> patient(X0))) [... | 0 |
If paul is either humble or not kind then alice is both not brave and not calm and vice versa.
Everyone who is both not quiet and not brave is both not patient and rich and vice versa.
Everyone who is both not patient and not quiet is either calm or old and vice versa.
If susan is not generous then lucy is not happy.
I... | John is patient. | contradiction | (((humble(paul)<~>~kind(paul)))<=>((~brave(alice)&~calm(alice))))&
(![X]:((~quiet(X)&~brave(X))<=>(~patient(X)&rich(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(calm(X)<~>old(X))))&
((~generous(susan))=>(~happy(lucy)))&
((?[X]:((~quiet(X)<~>funny(X))))=>(~generous(fred)))&
(((strong(john)&rich(john)))<=>(?[X]:(old(X))))&
(... | patient(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2199244435578054570868074
% SZS output start Proof for 2199244435578054570868074
10. ! [X0] : (~patient(X0) <=> (patient(X0) | brave(X0))) [input p9]
23. patient(john) [input hypothesis]
49. ! [X0] : ((~patient(X0) | (~patient(X0) & ~brave(X0))) & ((patient(X0) | brave(X0)) | patient(X0))... | 0 |
Everyone who is both not generous and strong is not rich or not curious. Everyone who is wise is kind and vice versa. 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.... | Fred is not tall. | entailment | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![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))... | ~tall(fred) | [
"p1",
"p5",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6695209993098208461353134
% SZS output start Proof for 6695209993098208461353134
2. ! [X0] : (wise(X0) <=> kind(X0)) [input p1]
6. ! [X0] : ((happy(X0) & wise(X0)) <=> (kind(X0) | ~old(X0))) [input p5]
9. ! [X0] : ((~funny(X0) <~> ~generous(X0)) => (brave(X0) & funny(X0))) [input p8]
11. ... | 0 |
If someone is patient then someone is either patient or kind and vice versa.
If someone is either not tall or kind then someone is not curious and vice versa.
Everyone who is both strong and not brave is both not happy and not patient.
If john is either not rich or creative then someone is either kind or patient.
Every... | Paul is wise. | neutral | ((?[X]:(patient(X)))<=>(?[X]:((patient(X)<~>kind(X)))))&
((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:(~curious(X))))&
(![X]:((strong(X)&~brave(X))=>(~happy(X)&~patient(X))))&
(((~rich(john)<~>creative(john)))=>(?[X]:((kind(X)<~>patient(X)))))&
(![X]:((~kind(X)|~generous(X))<=>(humble(X)|~quiet(X))))&
(![X]:((generous(X)<~>c... | wise(paul) | [] | null | 0 |
Everyone who is not humble or not funny is both old and not rich and vice versa.
Everyone who is both not wise and not creative is either not creative or calm.
Everyone who is either not old or not funny is both brave and creative and vice versa.
Everyone who is both not calm and not creative is either funny or not cre... | Fred is not tall. | contradiction | (![X]:((~humble(X)|~funny(X))<=>(old(X)&~rich(X))))&
(![X]:((~wise(X)&~creative(X))=>(~creative(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(brave(X)&creative(X))))&
(![X]:((~calm(X)&~creative(X))=>(funny(X)<~>~creative(X))))&
(![X]:((~rich(X)<~>~brave(X))=>(~tall(X)<~>brave(X))))&
(((happy(alice)|~brave(alice)))=>... | ~tall(fred) | [
"p0",
"p2",
"p4",
"p6",
"p8",
"p10",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 411825425913323021019657
% SZS output start Proof for 411825425913323021019657
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> (~rich(X0) & old(X0))) [input p0]
3. ! [X0] : ((~old(X0) <~> ~funny(X0)) <=> (creative(X0) & brave(X0))) [input p2]
5. ! [X0] : ((~rich(X0) <~> ~brave(X0)) => (~tall(... | 0 |
If someone is both happy and not wise then someone is both brave and calm.
If someone is either curious or quiet then mary is not old or not humble and vice versa.
If paul is old then mary is both strong and humble and vice versa.
Everyone who is generous or tall is both generous and curious and vice versa.
Everyone wh... | Mary is not kind. | neutral | ((?[X]:((happy(X)&~wise(X))))=>(?[X]:((brave(X)&calm(X)))))&
((?[X]:((curious(X)<~>quiet(X))))<=>((~old(mary)|~humble(mary))))&
((old(paul))<=>((strong(mary)&humble(mary))))&
(![X]:((generous(X)|tall(X))<=>(generous(X)&curious(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>(strong(X)&creative(X))))&
((?[X]:((curious(X)|strong... | ~kind(mary) | [] | null | 0 |
If lucy is both not quiet and not calm then someone is both not curious and funny.
Everyone who is either not kind or not tall is both not generous and not humble and vice versa.
Everyone who is both creative and strong is strong or patient and vice versa.
Everyone who is calm or not funny is either old or patient and ... | Fred is not humble. | entailment | (((~quiet(lucy)&~calm(lucy)))=>(?[X]:((~curious(X)&funny(X)))))&
(![X]:((~kind(X)<~>~tall(X))<=>(~generous(X)&~humble(X))))&
(![X]:((creative(X)&strong(X))<=>(strong(X)|patient(X))))&
(![X]:((calm(X)|~funny(X))<=>(old(X)<~>patient(X))))&
((?[X]:((~curious(X)|happy(X))))=>(?[X]:((calm(X)<~>wise(X)))))&
(((~strong(paul)|... | ~humble(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5296037421352136667710336
% SZS output start Proof for 5296037421352136667710336
7. (old(john) & ~old(john)) <=> ? [X0] : (~strong(X0) | humble(X0)) [input p6]
25. humble(fred) [input hypothesis]
56. ((old(john) & ~old(john)) | ! [X0] : (strong(X0) & ~humble(X0))) & (? [X0] : (~strong(X0)... | 0 |
If someone is either curious or not humble then someone is not wise and vice versa.
If someone is not tall or not calm then susan is not happy.
If alice is both wise and not quiet then someone is wise and vice versa.
If someone is funny then lucy is either not happy or not tall and vice versa.
If someone is old then fr... | Paul is not curious. | contradiction | ((?[X]:((curious(X)<~>~humble(X))))<=>(?[X]:(~wise(X))))&
((?[X]:((~tall(X)|~calm(X))))=>(~happy(susan)))&
(((wise(alice)&~quiet(alice)))<=>(?[X]:(wise(X))))&
((?[X]:(funny(X)))<=>((~happy(lucy)<~>~tall(lucy))))&
((?[X]:(old(X)))=>((rich(fred)&~strong(fred))))&
(![X]:((~kind(X)|~generous(X))=>(old(X)&~generous(X))))&
(... | ~curious(paul) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1462722802199479484111740
% SZS output start Proof for 1462722802199479484111740
1. ? [X0] : (curious(X0) <~> ~humble(X0)) <=> ? [X0] : ~wise(X0) [input p0]
5. ? [X0] : old(X0) => (~strong(fred) & rich(fred)) [input p4]
6. ! [X0] : ((~generous(X0) | ~kind(X0)) => (~generous(X0) & old(X0))... | 0 |
Everyone who is both not quiet and not wise is both not rich and wise.
If susan is not old then someone is curious and vice versa.
Everyone who is not happy is either strong or not brave and vice versa.
Everyone who is both humble and not humble is either happy or curious and vice versa.
If someone is either quiet or n... | Fred is not calm. | contradiction | (![X]:((~quiet(X)&~wise(X))=>(~rich(X)&wise(X))))&
((~old(susan))<=>(?[X]:(curious(X))))&
(![X]:(~happy(X)<=>(strong(X)<~>~brave(X))))&
(![X]:((humble(X)&~humble(X))<=>(happy(X)<~>curious(X))))&
((?[X]:((quiet(X)<~>~tall(X))))<=>(?[X]:((rich(X)<~>~strong(X)))))&
((?[X]:(~kind(X)))=>(?[X]:((creative(X)&generous(X)))))&
... | ~calm(fred) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1581629895661559591246841
% SZS output start Proof for 1581629895661559591246841
7. ? [X0] : (~calm(X0) | ~funny(X0)) <=> (~funny(lucy) & ~strong(lucy)) [input p6]
11. ? [X0] : (~funny(X0) | ~quiet(X0)) => calm(fred) [input p10]
25. ~calm(fred) [input hypothesis]
36. calm(fred) | ! [X0] :... | 0 |
Everyone who is both not happy and not funny is not creative and vice versa. Everyone who is both not patient and humble is not patient or wise and vice versa. Everyone who is both not brave and tall is patient. If someone is generous then fred is either not quiet or generous. If lucy is wise or tall then someone is no... | John is old. | contradiction | (![X]:((~happy(X)&~funny(X))<=>~creative(X)))&
(![X]:((~patient(X)&humble(X))<=>(~patient(X)|wise(X))))&
(![X]:((~brave(X)&tall(X))=>patient(X)))&
((?[X]:(generous(X)))=>((~quiet(fred)<~>generous(fred))))&
(((wise(lucy)|tall(lucy)))=>(?[X]:((~creative(X)|~brave(X)))))&
(((quiet(mary)|~old(mary)))=>(?[X]:(curious(X))))&... | old(john) | [
"p1",
"p6",
"p7",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8013327852842470399674378
% SZS output start Proof for 8013327852842470399674378
2. ! [X0] : ((humble(X0) & ~patient(X0)) <=> (wise(X0) | ~patient(X0))) [input p1]
7. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (~old(X0) & ~quiet(X0))) [input p6]
8. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (~t... | 0 |
If lucy is both creative and funny then john is either patient or not patient.
Everyone who is generous is old or not patient and vice versa.
Everyone who is both brave and not creative is both wise and not quiet and vice versa.
Everyone who is curious or generous is humble and vice versa.
If someone is not patient or ... | Alice is humble. | entailment | (((creative(lucy)&funny(lucy)))=>((patient(john)<~>~patient(john))))&
(![X]:(generous(X)<=>(old(X)|~patient(X))))&
(![X]:((brave(X)&~creative(X))<=>(wise(X)&~quiet(X))))&
(![X]:((curious(X)|generous(X))<=>humble(X)))&
((?[X]:((~patient(X)|~wise(X))))<=>(?[X]:((kind(X)&~kind(X)))))&
(![X]:((funny(X)<~>patient(X))<=>(cal... | humble(alice) | [
"p4",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2953313117413421750966357
% SZS output start Proof for 2953313117413421750966357
5. ? [X0] : (~wise(X0) | ~patient(X0)) <=> ? [X0] : (~kind(X0) & kind(X0)) [input p4]
14. ! [X0] : ((wise(X0) <~> happy(X0)) <=> (~humble(X0) <~> ~strong(X0))) [input p13]
16. ? [X0] : ~strong(X0) => (happy(a... | 0 |
If lucy is not patient or kind then someone is both kind and not wise. Everyone who is wise or not happy is not old or patient. If lucy is both calm and rich then someone is old or quiet and vice versa. If paul is kind or rich then lucy is both not strong and happy and vice versa. Everyone who is patient is both not br... | Fred is rich. | neutral | (((~patient(lucy)|kind(lucy)))=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:((wise(X)|~happy(X))=>(~old(X)|patient(X))))&
(((calm(lucy)&rich(lucy)))<=>(?[X]:((old(X)|quiet(X)))))&
(((kind(paul)|rich(paul)))<=>((~strong(lucy)&happy(lucy))))&
(![X]:(patient(X)=>(~brave(X)&~curious(X))))&
(![X]:((calm(X)&tall(X))=>(~wise(X)<~>wis... | rich(fred) | [] | null | 0 |
If susan is not humble then someone is not humble and vice versa. Everyone who is either not patient or old is both not tall and not creative and vice versa. If someone is both not kind and wise then someone is both brave and kind. If someone is either patient or not tall then someone is generous or creative. If someon... | Susan is humble. | neutral | ((~humble(susan))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)<~>old(X))<=>(~tall(X)&~creative(X))))&
((?[X]:((~kind(X)&wise(X))))=>(?[X]:((brave(X)&kind(X)))))&
((?[X]:((patient(X)<~>~tall(X))))=>(?[X]:((generous(X)|creative(X)))))&
((?[X]:((patient(X)|~quiet(X))))<=>((~brave(mary)|~patient(mary))))&
((?[X]:((wise(X)<~... | humble(susan) | [] | null | 0 |
If susan is both not creative and not funny then fred is both patient and funny. If someone is not kind then susan is not tall. Everyone who is both not wise and happy is both not old and curious. If someone is both not wise and old then lucy is both not strong and not rich and vice versa. Everyone who is not happy or ... | John is funny. | entailment | (((~creative(susan)&~funny(susan)))=>((patient(fred)&funny(fred))))&
((?[X]:(~kind(X)))=>(~tall(susan)))&
(![X]:((~wise(X)&happy(X))=>(~old(X)&curious(X))))&
((?[X]:((~wise(X)&old(X))))<=>((~strong(lucy)&~rich(lucy))))&
(![X]:((~happy(X)|creative(X))=>(~tall(X)&funny(X))))&
(![X]:((~old(X)|~humble(X))=>(kind(X)&~curiou... | funny(john) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4357679987827629198675008
% SZS output start Proof for 4357679987827629198675008
3. ! [X0] : ((happy(X0) & ~wise(X0)) => (curious(X0) & ~old(X0))) [input p2]
4. ? [X0] : (old(X0) & ~wise(X0)) <=> (~rich(lucy) & ~strong(lucy)) [input p3]
5. ! [X0] : ((creative(X0) | ~happy(X0)) => (funny(X... | 0 |
If someone is either curious or not humble then someone is not wise and vice versa.
If someone is not tall or not calm then susan is not happy.
If alice is both wise and not quiet then someone is wise and vice versa.
If someone is funny then lucy is either not happy or not tall and vice versa.
If someone is old then fr... | Lucy is not curious. | entailment | ((?[X]:((curious(X)<~>~humble(X))))<=>(?[X]:(~wise(X))))&
((?[X]:((~tall(X)|~calm(X))))=>(~happy(susan)))&
(((wise(alice)&~quiet(alice)))<=>(?[X]:(wise(X))))&
((?[X]:(funny(X)))<=>((~happy(lucy)<~>~tall(lucy))))&
((?[X]:(old(X)))=>((rich(fred)&~strong(fred))))&
(![X]:((~kind(X)|~generous(X))=>(old(X)&~generous(X))))&
(... | ~curious(lucy) | [
"p4",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1663518268811951278644682
% SZS output start Proof for 1663518268811951278644682
5. ? [X0] : old(X0) => (~strong(fred) & rich(fred)) [input p4]
10. ! [X0] : (rich(X0) <=> (old(X0) | ~old(X0))) [input p9]
11. ! [X0] : (rich(X0) <=> (kind(X0) & strong(X0))) [input p10]
13. ! [X0] : ((~old(X... | 0 |
Everyone who is either wise or kind is both not curious and not calm. Everyone who is curious or not brave is either not happy or funny and vice versa. If alice is either wise or not calm then fred is curious or funny. If john is both kind and not humble then lucy is generous. If someone is either not rich or funny the... | Susan is calm. | entailment | (![X]:((wise(X)<~>kind(X))=>(~curious(X)&~calm(X))))&
(![X]:((curious(X)|~brave(X))<=>(~happy(X)<~>funny(X))))&
(((wise(alice)<~>~calm(alice)))=>((curious(fred)|funny(fred))))&
(((kind(john)&~humble(john)))=>(generous(lucy)))&
((?[X]:((~rich(X)<~>funny(X))))=>((strong(mary)&~rich(mary))))&
(![X]:((kind(X)|~creative(X))... | calm(susan) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6316189046912404578360665
% SZS output start Proof for 6316189046912404578360665
2. ! [X0] : ((~brave(X0) | curious(X0)) <=> (~happy(X0) <~> funny(X0))) [input p1]
6. ! [X0] : ((~creative(X0) | kind(X0)) => (~funny(X0) & tall(X0))) [input p5]
8. ! [X0] : ((~tall(X0) <~> kind(X0)) => (~tal... | 0 |
Everyone who is happy or not creative is both funny and not happy.
Everyone who is not curious is quiet.
Everyone who is either tall or generous is funny or patient and vice versa.
If someone is either not brave or brave then someone is humble.
Everyone who is generous or not patient is quiet.
Everyone who is humble or... | Lucy is happy. | contradiction | (![X]:((happy(X)|~creative(X))=>(funny(X)&~happy(X))))&
(![X]:(~curious(X)=>quiet(X)))&
(![X]:((tall(X)<~>generous(X))<=>(funny(X)|patient(X))))&
((?[X]:((~brave(X)<~>brave(X))))=>(?[X]:(humble(X))))&
(![X]:((generous(X)|~patient(X))=>quiet(X)))&
(![X]:((humble(X)|~happy(X))=>(quiet(X)&creative(X))))&
(![X]:((quiet(X)|... | happy(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4769348581945559343730481
% SZS output start Proof for 4769348581945559343730481
1. ! [X0] : ((~creative(X0) | happy(X0)) => (~happy(X0) & funny(X0))) [input p0]
22. happy(lucy) [input hypothesis]
28. ! [X0] : ((~happy(X0) & funny(X0)) | (creative(X0) & ~happy(X0))) [ennf transformation 1... | 0 |
Everyone who is both creative and not brave is either not generous or not happy.
Everyone who is both not calm and not humble is both generous and not kind and vice versa.
Everyone who is both not rich and old is not humble.
Everyone who is both patient and not old is either not funny or funny and vice versa.
Everyone ... | Mary is curious. | entailment | (![X]:((creative(X)&~brave(X))=>(~generous(X)<~>~happy(X))))&
(![X]:((~calm(X)&~humble(X))<=>(generous(X)&~kind(X))))&
(![X]:((~rich(X)&old(X))=>~humble(X)))&
(![X]:((patient(X)&~old(X))<=>(~funny(X)<~>funny(X))))&
(![X]:(happy(X)<=>~curious(X)))&
(![X]:((curious(X)|~brave(X))<=>(patient(X)<~>calm(X))))&
(![X]:(~calm(X... | curious(mary) | [
"p3",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5799139413337926730171633
% SZS output start Proof for 5799139413337926730171633
4. ! [X0] : ((~old(X0) & patient(X0)) <=> (~funny(X0) <~> funny(X0))) [input p3]
5. ! [X0] : (happy(X0) <=> ~curious(X0)) [input p4]
13. ? [X0] : (happy(X0) | humble(X0)) <=> (~patient(alice) | old(alice)) [i... | 0 |
Everyone who is not creative is both calm and quiet. If susan is both rich and humble then someone is tall and vice versa. Everyone who is quiet is both not calm and not tall and vice versa. Everyone who is not humble or not curious is brave or not curious and vice versa. Everyone who is both not humble and patient is ... | John is happy. | entailment | (![X]:(~creative(X)=>(calm(X)&quiet(X))))&
(((rich(susan)&humble(susan)))<=>(?[X]:(tall(X))))&
(![X]:(quiet(X)<=>(~calm(X)&~tall(X))))&
(![X]:((~humble(X)|~curious(X))<=>(brave(X)|~curious(X))))&
(![X]:((~humble(X)&patient(X))<=>(old(X)|tall(X))))&
(![X]:((quiet(X)&happy(X))<=>(rich(X)|~rich(X))))&
(![X]:((~funny(X)&wi... | happy(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 517703152221065701312039
% SZS output start Proof for 517703152221065701312039
6. ! [X0] : ((happy(X0) & quiet(X0)) <=> (~rich(X0) | rich(X0))) [input p5]
22. ~happy(john) [input hypothesis]
39. ! [X0] : (((happy(X0) & quiet(X0)) | (rich(X0) & ~rich(X0))) & ((~rich(X0) | rich(X0)) | (~hap... | 0 |
If lucy is both creative and humble then someone is both kind and not curious and vice versa.
If paul is strong or tall then someone is either calm or humble.
Everyone who is brave is either brave or kind and vice versa.
Everyone who is both tall and wise is tall.
Everyone who is either not humble or humble is rich or ... | Mary is not old. | neutral | (((creative(lucy)&humble(lucy)))<=>(?[X]:((kind(X)&~curious(X)))))&
(((strong(paul)|tall(paul)))=>(?[X]:((calm(X)<~>humble(X)))))&
(![X]:(brave(X)<=>(brave(X)<~>kind(X))))&
(![X]:((tall(X)&wise(X))=>tall(X)))&
(![X]:((~humble(X)<~>humble(X))<=>(rich(X)|~rich(X))))&
(![X]:((~patient(X)&strong(X))<=>(~happy(X)&~strong(X)... | ~old(mary) | [] | null | 0 |
If susan is not happy or generous then someone is curious or creative.
If someone is happy or funny then someone is not happy or not curious.
If someone is either not generous or not rich then someone is calm or not calm.
Everyone who is calm is either not tall or not old and vice versa.
If someone is either happy or o... | Alice is not old. | contradiction | (((~happy(susan)|generous(susan)))=>(?[X]:((curious(X)|creative(X)))))&
((?[X]:((happy(X)|funny(X))))=>(?[X]:((~happy(X)|~curious(X)))))&
((?[X]:((~generous(X)<~>~rich(X))))=>(?[X]:((calm(X)|~calm(X)))))&
(![X]:(calm(X)<=>(~tall(X)<~>~old(X))))&
((?[X]:((happy(X)<~>old(X))))<=>((~happy(susan)|~curious(susan))))&
((~cal... | ~old(alice) | [
"p3",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 50034634408663945644389
% SZS output start Proof for 50034634408663945644389
4. ! [X0] : (calm(X0) <=> (~tall(X0) <~> ~old(X0))) [input p3]
8. ! [X0] : ((patient(X0) & calm(X0)) <=> ~calm(X0)) [input p7]
13. ? [X0] : ~calm(X0) <=> ? [X0] : (~tall(X0) <~> ~patient(X0)) [input p12]
24. ~old... | 0 |
Everyone who is not funny is not kind.
Everyone who is old is both generous and not kind and vice versa.
If someone is funny then someone is not old or happy and vice versa.
Everyone who is either not calm or not wise is both calm and generous.
If someone is wise or quiet then lucy is both quiet and tall.
If fred is st... | Lucy is wise. | neutral | (![X]:(~funny(X)=>~kind(X)))&
(![X]:(old(X)<=>(generous(X)&~kind(X))))&
((?[X]:(funny(X)))<=>(?[X]:((~old(X)|happy(X)))))&
(![X]:((~calm(X)<~>~wise(X))=>(calm(X)&generous(X))))&
((?[X]:((wise(X)|quiet(X))))=>((quiet(lucy)&tall(lucy))))&
((strong(fred))=>(?[X]:((~old(X)&~brave(X)))))&
((?[X]:(humble(X)))<=>(?[X]:(curiou... | wise(lucy) | [] | null | 0 |
Everyone who is either not funny or tall is both calm and not calm and vice versa.
Everyone who is either not humble or rich is wise or not tall.
Everyone who is not quiet is either quiet or strong.
Everyone who is either not wise or funny is generous and vice versa.
Everyone who is either not generous or brave is eith... | Susan is not funny. | contradiction | (![X]:((~funny(X)<~>tall(X))<=>(calm(X)&~calm(X))))&
(![X]:((~humble(X)<~>rich(X))=>(wise(X)|~tall(X))))&
(![X]:(~quiet(X)=>(quiet(X)<~>strong(X))))&
(![X]:((~wise(X)<~>funny(X))<=>generous(X)))&
(![X]:((~generous(X)<~>brave(X))=>(tall(X)<~>~kind(X))))&
((?[X]:((~old(X)|~wise(X))))=>((~patient(lucy)&~funny(lucy))))&
((... | ~funny(susan) | [
"p7",
"p8",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2119287458552887265159606
% SZS output start Proof for 2119287458552887265159606
8. ! [X0] : ((~generous(X0) <~> ~humble(X0)) <=> (~brave(X0) <~> ~generous(X0))) [input p7]
9. ! [X0] : ((~wise(X0) <~> funny(X0)) <=> (~curious(X0) & ~brave(X0))) [input p8]
12. ? [X0] : ~curious(X0) <=> bra... | 0 |
Everyone who is rich or not wise is both calm and not calm. If someone is not wise then someone is quiet or humble and vice versa. Everyone who is not tall is both wise and not wise. If someone is both not funny and not brave then someone is not quiet. If john is either humble or brave then mary is both happy and not o... | Paul is rich. | contradiction | (![X]:((rich(X)|~wise(X))=>(calm(X)&~calm(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(~tall(X)=>(wise(X)&~wise(X))))&
((?[X]:((~funny(X)&~brave(X))))=>(?[X]:(~quiet(X))))&
(((humble(john)<~>brave(john)))<=>((happy(mary)&~old(mary))))&
((?[X]:((kind(X)&wise(X))))=>(?[X]:((~kind(X)|humble(X)))))&
(... | rich(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4182215514110556640126639
% SZS output start Proof for 4182215514110556640126639
1. ! [X0] : ((~wise(X0) | rich(X0)) => (~calm(X0) & calm(X0))) [input p0]
22. rich(paul) [input hypothesis]
27. ! [X0] : ((~calm(X0) & calm(X0)) | (wise(X0) & ~rich(X0))) [ennf transformation 1]
75. calm(X0) ... | 0 |
If mary is not wise then susan is not brave and vice versa. Everyone who is either not quiet or humble is both happy and kind and vice versa. If fred is both not calm and curious then alice is not kind and vice versa. Everyone who is tall is either calm or not humble. Everyone who is either not generous or curious is b... | Alice is not patient. | neutral | ((~wise(mary))<=>(~brave(susan)))&
(![X]:((~quiet(X)<~>humble(X))<=>(happy(X)&kind(X))))&
(((~calm(fred)&curious(fred)))<=>(~kind(alice)))&
(![X]:(tall(X)=>(calm(X)<~>~humble(X))))&
(![X]:((~generous(X)<~>curious(X))=>(~rich(X)&~generous(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(~patient(X)&~happy(X))))&
(![X]:(~brave(X)=... | ~patient(alice) | [] | null | 0 |
If someone is not curious or not generous then fred is tall or patient and vice versa.
Everyone who is generous or not brave is calm and vice versa.
If someone is not curious or happy then someone is either creative or tall.
Everyone who is either not calm or happy is both not happy and not wise.
If lucy is creative or... | Lucy is tall. | neutral | ((?[X]:((~curious(X)|~generous(X))))<=>((tall(fred)|patient(fred))))&
(![X]:((generous(X)|~brave(X))<=>calm(X)))&
((?[X]:((~curious(X)|happy(X))))=>(?[X]:((creative(X)<~>tall(X)))))&
(![X]:((~calm(X)<~>happy(X))=>(~happy(X)&~wise(X))))&
(((creative(lucy)|~tall(lucy)))=>(?[X]:((funny(X)&~tall(X)))))&
((?[X]:(generous(X)... | tall(lucy) | [] | null | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa.
Everyone who is rich or strong is both not calm and calm and vice versa.
Everyone who is either patient or happy is either not curious or not humble.
If susan is both humble and quiet then mary is creative or kind and vice versa.
... | Fred is rich. | contradiction | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~calm(X)&calm(X))))&
(![X]:((patient(X)<~>happy(X))=>(~curious(X)<~>~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious... | rich(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5828379576994626354429656
% SZS output start Proof for 5828379576994626354429656
2. ! [X0] : ((strong(X0) | rich(X0)) <=> (calm(X0) & ~calm(X0))) [input p1]
24. rich(fred) [input hypothesis]
35. ! [X0] : (((strong(X0) | rich(X0)) | (~calm(X0) | calm(X0))) & ((calm(X0) & ~calm(X0)) | (~str... | 0 |
Everyone who is not funny is funny or not tall.
If someone is either not calm or not kind then susan is both not kind and kind.
Everyone who is humble or wise is either not humble or strong and vice versa.
Everyone who is generous or wise is old and vice versa.
If someone is not creative or creative then fred is both n... | Fred is not humble. | entailment | (![X]:(~funny(X)=>(funny(X)|~tall(X))))&
((?[X]:((~calm(X)<~>~kind(X))))=>((~kind(susan)&kind(susan))))&
(![X]:((humble(X)|wise(X))<=>(~humble(X)<~>strong(X))))&
(![X]:((generous(X)|wise(X))<=>old(X)))&
((?[X]:((~creative(X)|creative(X))))=>((~creative(fred)&~strong(fred))))&
(![X]:((~old(X)|tall(X))=>~funny(X)))&
(![X... | ~humble(fred) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1299844147754996803510662
% SZS output start Proof for 1299844147754996803510662
3. ! [X0] : ((wise(X0) | humble(X0)) <=> (~humble(X0) <~> strong(X0))) [input p2]
5. ? [X0] : (creative(X0) | ~creative(X0)) => (~strong(fred) & ~creative(fred)) [input p4]
23. humble(fred) [input hypothesis]... | 0 |
If lucy is either not patient or strong then someone is not humble.
Everyone who is not patient or kind is either generous or humble.
Everyone who is both humble and wise is not happy or rich.
If someone is both kind and not tall then fred is not humble or humble.
Everyone who is quiet is not calm or not funny.
If some... | Paul is generous. | neutral | (((~patient(lucy)<~>strong(lucy)))=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|kind(X))=>(generous(X)<~>humble(X))))&
(![X]:((humble(X)&wise(X))=>(~happy(X)|rich(X))))&
((?[X]:((kind(X)&~tall(X))))=>((~humble(fred)|humble(fred))))&
(![X]:(quiet(X)=>(~calm(X)|~funny(X))))&
((?[X]:((humble(X)|~tall(X))))<=>(?[X]:((funny(X... | generous(paul) | [] | null | 0 |
Everyone who is either not generous or generous is not old.
Everyone who is not old is funny.
If someone is either not kind or not brave then lucy is not patient or not calm and vice versa.
Everyone who is both not wise and strong is either not creative or not humble.
Everyone who is not calm is both curious and calm.
... | Fred is tall. | entailment | (![X]:((~generous(X)<~>generous(X))=>~old(X)))&
(![X]:(~old(X)=>funny(X)))&
((?[X]:((~kind(X)<~>~brave(X))))<=>((~patient(lucy)|~calm(lucy))))&
(![X]:((~wise(X)&strong(X))=>(~creative(X)<~>~humble(X))))&
(![X]:(~calm(X)=>(curious(X)&calm(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~wise(X)&tall(X)))))&
(((~wise(fred)<~>~happy(f... | tall(fred) | [
"p0",
"p1",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1584206730256171745755147
% SZS output start Proof for 1584206730256171745755147
1. ! [X0] : ((~generous(X0) <~> generous(X0)) => ~old(X0)) [input p0]
2. ! [X0] : (~old(X0) => funny(X0)) [input p1]
10. ! [X0] : ((~kind(X0) & ~happy(X0)) <=> (patient(X0) <~> tall(X0))) [input p9]
14. ! [X0... | 0 |
If someone is not funny then someone is kind and vice versa.
Everyone who is both strong and not humble is either not humble or quiet and vice versa.
Everyone who is both calm and rich is both not quiet and not creative.
If susan is not wise or not creative then someone is both not funny and not brave.
If john is eithe... | Lucy is brave. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:(kind(X))))&
(![X]:((strong(X)&~humble(X))<=>(~humble(X)<~>quiet(X))))&
(![X]:((calm(X)&rich(X))=>(~quiet(X)&~creative(X))))&
(((~wise(susan)|~creative(susan)))=>(?[X]:((~funny(X)&~brave(X)))))&
(((~strong(john)<~>~patient(john)))=>(?[X]:(~old(X))))&
(![X]:(quiet(X)=>(~calm(X)<~>~creative(X)... | brave(lucy) | [
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2883190089698770320665191
% SZS output start Proof for 2883190089698770320665191
8. (~funny(lucy) | brave(lucy)) => ? [X0] : ~funny(X0) [input p7]
9. ! [X0] : ((kind(X0) <~> ~funny(X0)) <=> (kind(X0) & ~tall(X0))) [input p8]
10. ! [X0] : ((~generous(X0) | kind(X0)) => (funny(X0) & patient... | 0 |
If susan is quiet then someone is both patient and not quiet.
Everyone who is not brave is either strong or not strong and vice versa.
If someone is either calm or brave then lucy is both funny and not patient.
If someone is either tall or quiet then john is funny and vice versa.
If susan is either curious or not happy... | Susan is not old. | entailment | ((quiet(susan))=>(?[X]:((patient(X)&~quiet(X)))))&
(![X]:(~brave(X)<=>(strong(X)<~>~strong(X))))&
((?[X]:((calm(X)<~>brave(X))))=>((funny(lucy)&~patient(lucy))))&
((?[X]:((tall(X)<~>quiet(X))))<=>(funny(john)))&
(((curious(susan)<~>~happy(susan)))<=>((old(john)<~>tall(john))))&
((?[X]:((~wise(X)<~>~funny(X))))<=>(?[X]:... | ~old(susan) | [
"p1",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1667591369997902107133112
% SZS output start Proof for 1667591369997902107133112
2. ! [X0] : (~brave(X0) <=> (strong(X0) <~> ~strong(X0))) [input p1]
7. ! [X0] : (~brave(X0) => strong(X0)) [input p6]
10. (~strong(lucy) & patient(lucy)) <=> ? [X0] : (~happy(X0) | wise(X0)) [input p9]
11. ?... | 0 |
Everyone who is not strong or calm is not patient and vice versa.
Everyone who is either rich or not creative is curious and vice versa.
Everyone who is either old or curious is either happy or not strong.
Everyone who is both brave and strong is either happy or not strong and vice versa.
Everyone who is not strong or ... | John is not tall. | neutral | (![X]:((~strong(X)|calm(X))<=>~patient(X)))&
(![X]:((rich(X)<~>~creative(X))<=>curious(X)))&
(![X]:((old(X)<~>curious(X))=>(happy(X)<~>~strong(X))))&
(![X]:((brave(X)&strong(X))<=>(happy(X)<~>~strong(X))))&
(![X]:((~strong(X)|tall(X))<=>(old(X)&generous(X))))&
(![X]:(generous(X)=>~kind(X)))&
(![X]:((old(X)<~>quiet(X))=... | ~tall(john) | [] | null | 0 |
If someone is either not wise or calm then someone is not happy and vice versa.
Everyone who is generous or not kind is strong.
Everyone who is both not rich and not humble is not curious.
If alice is not happy or quiet then someone is not patient or not humble and vice versa.
If lucy is both not wise and not rich then... | Alice is kind. | contradiction | ((?[X]:((~wise(X)<~>calm(X))))<=>(?[X]:(~happy(X))))&
(![X]:((generous(X)|~kind(X))=>strong(X)))&
(![X]:((~rich(X)&~humble(X))=>~curious(X)))&
(((~happy(alice)|quiet(alice)))<=>(?[X]:((~patient(X)|~humble(X)))))&
(((~wise(lucy)&~rich(lucy)))<=>(~generous(mary)))&
(![X]:(~kind(X)=>~quiet(X)))&
(![X]:((~curious(X)&patien... | kind(alice) | [
"p1",
"p7",
"p12",
"p14",
"p15",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3105821243236805330201409
% SZS output start Proof for 3105821243236805330201409
2. ! [X0] : ((~kind(X0) | generous(X0)) => strong(X0)) [input p1]
8. ! [X0] : ((~brave(X0) | ~tall(X0)) => (~strong(X0) <~> rich(X0))) [input p7]
13. ! [X0] : ((kind(X0) <~> ~funny(X0)) => ~kind(X0)) [input p... | 0 |
Everyone who is both not strong and not generous is both generous and not wise and vice versa. If alice is quiet or not rich then someone is both not rich and strong. Everyone who is either calm or not funny is either strong or not kind and vice versa. If someone is both not kind and not calm then fred is kind. If fred... | Paul is kind. | entailment | (![X]:((~strong(X)&~generous(X))<=>(generous(X)&~wise(X))))&
(((quiet(alice)|~rich(alice)))=>(?[X]:((~rich(X)&strong(X)))))&
(![X]:((calm(X)<~>~funny(X))<=>(strong(X)<~>~kind(X))))&
((?[X]:((~kind(X)&~calm(X))))=>(kind(fred)))&
(((old(fred)|~brave(fred)))=>(?[X]:((kind(X)|wise(X)))))&
(![X]:((~happy(X)|~old(X))<=>(~pat... | kind(paul) | [
"p0",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4485714734650613032952618
% SZS output start Proof for 4485714734650613032952618
1. ! [X0] : ((~generous(X0) & ~strong(X0)) <=> (~wise(X0) & generous(X0))) [input p0]
9. ? [X0] : (rich(X0) | wise(X0)) => (generous(paul) | ~strong(paul)) [input p8]
16. ! [X0] : ((kind(X0) & ~strong(X0)) <=... | 0 |
Everyone who is both happy and quiet is both calm and happy and vice versa.
Everyone who is brave or quiet is both patient and strong and vice versa.
If someone is not brave or funny then someone is humble or not generous and vice versa.
Everyone who is both humble and not calm is either old or not strong.
If john is b... | Fred is rich. | entailment | (![X]:((happy(X)&quiet(X))<=>(calm(X)&happy(X))))&
(![X]:((brave(X)|quiet(X))<=>(patient(X)&strong(X))))&
((?[X]:((~brave(X)|funny(X))))<=>(?[X]:((humble(X)|~generous(X)))))&
(![X]:((humble(X)&~calm(X))=>(old(X)<~>~strong(X))))&
(((~humble(john)&~quiet(john)))<=>((~curious(lucy)<~>~wise(lucy))))&
(![X]:((~humble(X)&~st... | rich(fred) | [
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8127450820788510564705058
% SZS output start Proof for 8127450820788510564705058
19. ~quiet(fred) | rich(fred) [input p18]
22. quiet(fred) [input p21]
24. ~rich(fred) [input hypothesis]
132. ~quiet(fred) | rich(fred) [cnf transformation 19]
137. quiet(fred) [cnf transformation 22]
139. ~r... | 0 |
Everyone who is either rich or not rich is both tall and curious and vice versa.
Everyone who is both patient and generous is happy or not old.
Everyone who is both rich and not tall is kind.
If someone is both patient and brave then someone is both not kind and happy and vice versa.
Everyone who is not patient is not ... | Mary is not generous. | entailment | (![X]:((rich(X)<~>~rich(X))<=>(tall(X)&curious(X))))&
(![X]:((patient(X)&generous(X))=>(happy(X)|~old(X))))&
(![X]:((rich(X)&~tall(X))=>kind(X)))&
((?[X]:((patient(X)&brave(X))))<=>(?[X]:((~kind(X)&happy(X)))))&
(![X]:(~patient(X)<=>(~calm(X)|~old(X))))&
(![X]:((~happy(X)<~>funny(X))=>rich(X)))&
(![X]:((generous(X)|kin... | ~generous(mary) | [
"p0",
"p1",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 622088333939436509891610
% SZS output start Proof for 622088333939436509891610
1. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> (curious(X0) & tall(X0))) [input p0]
2. ! [X0] : ((generous(X0) & patient(X0)) => (~old(X0) | happy(X0))) [input p1]
5. ! [X0] : (~patient(X0) <=> (~old(X0) | ~calm(X0)... | 0 |
Everyone who is either kind or brave is either quiet or strong and vice versa. Everyone who is either strong or tall is patient. If someone is happy or old then john is not humble and vice versa. Everyone who is both not kind and not humble is both curious and not creative and vice versa. Everyone who is both brave and... | Alice is wise. | contradiction | (![X]:((kind(X)<~>brave(X))<=>(quiet(X)<~>strong(X))))&
(![X]:((strong(X)<~>tall(X))=>patient(X)))&
((?[X]:((happy(X)|old(X))))<=>(~humble(john)))&
(![X]:((~kind(X)&~humble(X))<=>(curious(X)&~creative(X))))&
(![X]:((brave(X)&~curious(X))=>(patient(X)<~>creative(X))))&
(![X]:((calm(X)|~happy(X))=>(funny(X)|~creative(X))... | wise(alice) | [
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5075053446637530406172821
% SZS output start Proof for 5075053446637530406172821
7. ! [X0] : ((~wise(X0) | kind(X0)) <=> (funny(X0) & ~wise(X0))) [input p6]
23. kind(alice) <~> ~wise(alice) [input p22]
25. wise(alice) [input hypothesis]
48. ! [X0] : (((~wise(X0) | kind(X0)) | (~funny(X0) ... | 0 |
If someone is either kind or tall then susan is humble or not generous and vice versa. If someone is not tall or not old then someone is both wise and brave. Everyone who is both rich and curious is not creative or wise. Everyone who is both creative and quiet is either happy or not kind. If someone is either happy or ... | John is wise. | contradiction | ((?[X]:((kind(X)<~>tall(X))))<=>((humble(susan)|~generous(susan))))&
((?[X]:((~tall(X)|~old(X))))=>(?[X]:((wise(X)&brave(X)))))&
(![X]:((rich(X)&curious(X))=>(~creative(X)|wise(X))))&
(![X]:((creative(X)&quiet(X))=>(happy(X)<~>~kind(X))))&
((?[X]:((happy(X)<~>patient(X))))=>(~curious(john)))&
(((~humble(alice)|strong(a... | wise(john) | [
"p8",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2934233198668502822626136
% SZS output start Proof for 2934233198668502822626136
9. ! [X0] : ((~strong(X0) & wise(X0)) <=> (strong(X0) & ~tall(X0))) [input p8]
13. ! [X0] : (strong(X0) => (calm(X0) <~> ~strong(X0))) [input p12]
16. ! [X0] : (old(X0) <=> (~wise(X0) <~> ~tall(X0))) [input p... | 0 |
Everyone who is both not funny and not kind is both kind and wise and vice versa.
Everyone who is not strong is not calm and vice versa.
Everyone who is not wise or not old is strong and vice versa.
If lucy is either not curious or not creative then someone is calm or not generous and vice versa.
If susan is either not... | Fred is not tall. | entailment | (![X]:((~funny(X)&~kind(X))<=>(kind(X)&wise(X))))&
(![X]:(~strong(X)<=>~calm(X)))&
(![X]:((~wise(X)|~old(X))<=>strong(X)))&
(((~curious(lucy)<~>~creative(lucy)))<=>(?[X]:((calm(X)|~generous(X)))))&
(((~kind(susan)<~>wise(susan)))<=>(?[X]:((happy(X)&~tall(X)))))&
(((~generous(lucy)&~calm(lucy)))=>(?[X]:(strong(X))))&
(!... | ~tall(fred) | [
"p0",
"p1",
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1787256480010969511872746
% SZS output start Proof for 1787256480010969511872746
1. ! [X0] : ((~kind(X0) & ~funny(X0)) <=> (wise(X0) & kind(X0))) [input p0]
2. ! [X0] : (~strong(X0) <=> ~calm(X0)) [input p1]
3. ! [X0] : ((~old(X0) | ~wise(X0)) <=> strong(X0)) [input p2]
12. ! [X0] : ((~ta... | 0 |
If someone is both strong and quiet then susan is creative. Everyone who is both not brave and not calm is rich. If someone is not curious or rich then lucy is both not strong and strong. If someone is not quiet or patient then alice is not patient and vice versa. If fred is both not creative and rich then someone is n... | Lucy is not strong. | entailment | ((?[X]:((strong(X)&quiet(X))))=>(creative(susan)))&
(![X]:((~brave(X)&~calm(X))=>rich(X)))&
((?[X]:((~curious(X)|rich(X))))=>((~strong(lucy)&strong(lucy))))&
((?[X]:((~quiet(X)|patient(X))))<=>(~patient(alice)))&
(((~creative(fred)&rich(fred)))=>(?[X]:(~old(X))))&
((~brave(alice))=>((~brave(john)|~wise(john))))&
(![X]:... | ~strong(lucy) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6787982956984727403164923
% SZS output start Proof for 6787982956984727403164923
3. ? [X0] : (rich(X0) | ~curious(X0)) => (strong(lucy) & ~strong(lucy)) [input p2]
12. ! [X0] : (~strong(X0) <=> (curious(X0) | calm(X0))) [input p11]
23. strong(lucy) [input hypothesis]
27. (strong(lucy) & ~... | 0 |
Everyone who is either not rich or happy is not curious and vice versa. Everyone who is not wise or not happy is either not funny or strong and vice versa. Everyone who is not old is both not kind and strong. If someone is happy then lucy is either kind or not creative and vice versa. Everyone who is either not brave o... | Mary is not patient. | neutral | (![X]:((~rich(X)<~>happy(X))<=>~curious(X)))&
(![X]:((~wise(X)|~happy(X))<=>(~funny(X)<~>strong(X))))&
(![X]:(~old(X)=>(~kind(X)&strong(X))))&
((?[X]:(happy(X)))<=>((kind(lucy)<~>~creative(lucy))))&
(![X]:((~brave(X)<~>~happy(X))<=>(strong(X)|calm(X))))&
(((strong(alice)&~creative(alice)))<=>((creative(mary)&humble(mar... | ~patient(mary) | [] | null | 0 |
Everyone who is both brave and strong is either not wise or not calm.
Everyone who is both not calm and kind is either kind or not happy and vice versa.
Everyone who is old is not generous.
If someone is both not happy and not old then someone is both not creative and not humble.
Everyone who is not kind or not calm is... | Lucy is not brave. | neutral | (![X]:((brave(X)&strong(X))=>(~wise(X)<~>~calm(X))))&
(![X]:((~calm(X)&kind(X))<=>(kind(X)<~>~happy(X))))&
(![X]:(old(X)=>~generous(X)))&
((?[X]:((~happy(X)&~old(X))))=>(?[X]:((~creative(X)&~humble(X)))))&
(![X]:((~kind(X)|~calm(X))<=>(~patient(X)&wise(X))))&
(![X]:((~humble(X)|funny(X))<=>(creative(X)<~>curious(X))))&... | ~brave(lucy) | [] | null | 0 |
Everyone who is either happy or old is both calm and not brave and vice versa. Everyone who is both humble and calm is both wise and rich. Everyone who is not rich or not patient is creative. Everyone who is humble or not humble is both not strong and not tall. Everyone who is brave or not old is tall. If someone is ei... | John is not old. | contradiction | (![X]:((happy(X)<~>old(X))<=>(calm(X)&~brave(X))))&
(![X]:((humble(X)&calm(X))=>(wise(X)&rich(X))))&
(![X]:((~rich(X)|~patient(X))=>creative(X)))&
(![X]:((humble(X)|~humble(X))=>(~strong(X)&~tall(X))))&
(![X]:((brave(X)|~old(X))=>tall(X)))&
((?[X]:((~funny(X)<~>~creative(X))))=>((strong(paul)|old(paul))))&
((?[X]:(~wis... | ~old(john) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8293181139293900090638641
% SZS output start Proof for 8293181139293900090638641
4. ! [X0] : ((~humble(X0) | humble(X0)) => (~tall(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((~old(X0) | brave(X0)) => tall(X0)) [input p4]
24. ~old(john) [input hypothesis]
31. ! [X0] : ((~tall(X0) & ~stron... | 0 |
Everyone who is either not quiet or old is not rich and vice versa. Everyone who is not calm is not tall or creative and vice versa. If john is both not brave and generous then someone is tall. Everyone who is rich is either not kind or wise and vice versa. Everyone who is both not humble and not wise is either not qui... | Fred is funny. | neutral | (![X]:((~quiet(X)<~>old(X))<=>~rich(X)))&
(![X]:(~calm(X)<=>(~tall(X)|creative(X))))&
(((~brave(john)&generous(john)))=>(?[X]:(tall(X))))&
(![X]:(rich(X)<=>(~kind(X)<~>wise(X))))&
(![X]:((~humble(X)&~wise(X))=>(~quiet(X)<~>calm(X))))&
(((humble(john)<~>brave(john)))<=>(?[X]:(~calm(X))))&
(![X]:((~wise(X)<~>curious(X))<... | funny(fred) | [] | null | 0 |
Everyone who is not strong is not happy or not patient and vice versa. If someone is tall or brave then someone is both tall and not tall and vice versa. Everyone who is either not generous or kind is both curious and not funny. If paul is creative or humble then someone is either not calm or brave and vice versa. Ever... | Paul is not strong. | entailment | (![X]:(~strong(X)<=>(~happy(X)|~patient(X))))&
((?[X]:((tall(X)|brave(X))))<=>(?[X]:((tall(X)&~tall(X)))))&
(![X]:((~generous(X)<~>kind(X))=>(curious(X)&~funny(X))))&
(((creative(paul)|humble(paul)))<=>(?[X]:((~calm(X)<~>brave(X)))))&
(![X]:((~creative(X)|kind(X))<=>(~strong(X)<~>curious(X))))&
((strong(susan))<=>((~wi... | ~strong(paul) | [
"p0",
"p4",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3171323959999975652972602
% SZS output start Proof for 3171323959999975652972602
1. ! [X0] : (~strong(X0) <=> (~patient(X0) | ~happy(X0))) [input p0]
5. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (~strong(X0) <~> curious(X0))) [input p4]
11. ! [X0] : (~kind(X0) => (creative(X0) & ~happy(X0)... | 0 |
If someone is either not kind or wise then someone is not rich and vice versa.
If someone is both not calm and tall then someone is calm or tall and vice versa.
If someone is curious then alice is humble.
If paul is both not calm and brave then someone is not strong or not kind and vice versa.
Everyone who is either no... | Mary is not strong. | neutral | ((?[X]:((~kind(X)<~>wise(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((~calm(X)&tall(X))))<=>(?[X]:((calm(X)|tall(X)))))&
((?[X]:(curious(X)))=>(humble(alice)))&
(((~calm(paul)&brave(paul)))<=>(?[X]:((~strong(X)|~kind(X)))))&
(![X]:((~creative(X)<~>curious(X))<=>(~old(X)<~>~kind(X))))&
((?[X]:((rich(X)<~>~generous(X))))<=>(?[X]... | ~strong(mary) | [] | null | 0 |
If fred is either not quiet or quiet then someone is wise and vice versa.
Everyone who is not generous is curious or tall.
If someone is both tall and not funny then alice is both not happy and rich.
Everyone who is either not brave or kind is either not brave or rich.
Everyone who is either not curious or strong is ei... | Paul is not funny. | neutral | (((~quiet(fred)<~>quiet(fred)))<=>(?[X]:(wise(X))))&
(![X]:(~generous(X)=>(curious(X)|tall(X))))&
((?[X]:((tall(X)&~funny(X))))=>((~happy(alice)&rich(alice))))&
(![X]:((~brave(X)<~>kind(X))=>(~brave(X)<~>rich(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(brave(X)<~>strong(X))))&
((?[X]:((wise(X)&~rich(X))))<=>(?[X]:(~happ... | ~funny(paul) | [] | null | 0 |
Everyone who is both creative and humble is humble and vice versa.
Everyone who is calm is both quiet and not patient and vice versa.
Everyone who is either strong or rich is either calm or not funny.
Everyone who is both not wise and generous is both not quiet and wise and vice versa.
If paul is not happy then alice i... | John is rich. | neutral | (![X]:((creative(X)&humble(X))<=>humble(X)))&
(![X]:(calm(X)<=>(quiet(X)&~patient(X))))&
(![X]:((strong(X)<~>rich(X))=>(calm(X)<~>~funny(X))))&
(![X]:((~wise(X)&generous(X))<=>(~quiet(X)&wise(X))))&
((~happy(paul))=>((~old(alice)&tall(alice))))&
(((~curious(alice)<~>patient(alice)))<=>(generous(fred)))&
(![X]:((happy(X... | rich(john) | [] | null | 0 |
Everyone who is patient is old or not generous and vice versa. If alice is curious then someone is wise. Everyone who is not brave or not funny is both not generous and not strong. If someone is not wise or rich then someone is old or not brave and vice versa. Everyone who is either not happy or not tall is both curiou... | Susan is tall. | neutral | (![X]:(patient(X)<=>(old(X)|~generous(X))))&
((curious(alice))=>(?[X]:(wise(X))))&
(![X]:((~brave(X)|~funny(X))=>(~generous(X)&~strong(X))))&
((?[X]:((~wise(X)|rich(X))))<=>(?[X]:((old(X)|~brave(X)))))&
(![X]:((~happy(X)<~>~tall(X))<=>(curious(X)&strong(X))))&
(![X]:((~patient(X)<~>strong(X))<=>(kind(X)&~funny(X))))&
(... | tall(susan) | [] | null | 0 |
If lucy is humble then someone is not creative. If lucy is not calm or funny then someone is both not happy and not kind. Everyone who is not creative is either brave or not funny. If someone is either not tall or not strong then someone is both not wise and not old. Everyone who is not funny or curious is calm. Everyo... | Paul is not wise. | entailment | ((humble(lucy))=>(?[X]:(~creative(X))))&
(((~calm(lucy)|funny(lucy)))=>(?[X]:((~happy(X)&~kind(X)))))&
(![X]:(~creative(X)=>(brave(X)<~>~funny(X))))&
((?[X]:((~tall(X)<~>~strong(X))))=>(?[X]:((~wise(X)&~old(X)))))&
(![X]:((~funny(X)|curious(X))=>calm(X)))&
(![X]:(~brave(X)=>~strong(X)))&
(![X]:((tall(X)<~>kind(X))<=>(g... | ~wise(paul) | [
"p8",
"p9",
"p12",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4332496069829435422270781
% SZS output start Proof for 4332496069829435422270781
9. ! [X0] : ((humble(X0) | ~old(X0)) <=> (creative(X0) & ~humble(X0))) [input p8]
10. ! [X0] : ((calm(X0) | old(X0)) => ~kind(X0)) [input p9]
13. ! [X0] : (~rich(X0) <=> (~funny(X0) <~> old(X0))) [input p12]
... | 0 |
Everyone who is brave is either creative or tall and vice versa.
If someone is either not tall or curious then someone is not kind and vice versa.
If someone is rich or wise then someone is either not humble or not brave.
If mary is either not wise or quiet then john is not tall.
If someone is both not patient and humb... | Paul is wise. | neutral | (![X]:(brave(X)<=>(creative(X)<~>tall(X))))&
((?[X]:((~tall(X)<~>curious(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((rich(X)|wise(X))))=>(?[X]:((~humble(X)<~>~brave(X)))))&
(((~wise(mary)<~>quiet(mary)))=>(~tall(john)))&
((?[X]:((~patient(X)&humble(X))))=>(?[X]:((quiet(X)&kind(X)))))&
(![X]:((~funny(X)&~calm(X))=>(~patient(X)... | wise(paul) | [] | null | 0 |
If someone is not happy then john is either not strong or not curious and vice versa.
If john is either generous or not rich then someone is happy or not creative.
Everyone who is both tall and quiet is humble or not quiet.
If paul is happy then paul is old and vice versa.
If someone is not curious then lucy is patient... | Susan is wise. | entailment | ((?[X]:(~happy(X)))<=>((~strong(john)<~>~curious(john))))&
(((generous(john)<~>~rich(john)))=>(?[X]:((happy(X)|~creative(X)))))&
(![X]:((tall(X)&quiet(X))=>(humble(X)|~quiet(X))))&
((happy(paul))<=>(old(paul)))&
((?[X]:(~curious(X)))<=>((patient(lucy)|~old(lucy))))&
(![X]:((creative(X)&~calm(X))<=>humble(X)))&
(((stron... | wise(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1894543255873393761190399
% SZS output start Proof for 1894543255873393761190399
16. ! [X0] : ((rich(X0) & wise(X0)) <=> (~wise(X0) | ~old(X0))) [input p15]
24. ~wise(susan) [input hypothesis]
63. ! [X0] : (((rich(X0) & wise(X0)) | (wise(X0) & old(X0))) & ((~wise(X0) | ~old(X0)) | (~rich(... | 0 |
If someone is quiet then lucy is both not patient and strong and vice versa.
If someone is not happy then someone is wise and vice versa.
If someone is both funny and patient then lucy is either not happy or not rich and vice versa.
Everyone who is both tall and not curious is not generous or not funny and vice versa.
... | Alice is not patient. | entailment | ((?[X]:(quiet(X)))<=>((~patient(lucy)&strong(lucy))))&
((?[X]:(~happy(X)))<=>(?[X]:(wise(X))))&
((?[X]:((funny(X)&patient(X))))<=>((~happy(lucy)<~>~rich(lucy))))&
(![X]:((tall(X)&~curious(X))<=>(~generous(X)|~funny(X))))&
(![X]:(~patient(X)<=>(humble(X)|~curious(X))))&
((?[X]:((quiet(X)<~>~curious(X))))=>(?[X]:((curiou... | ~patient(alice) | [
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1343658007512256260991170
% SZS output start Proof for 1343658007512256260991170
5. ! [X0] : (~patient(X0) <=> (~curious(X0) | humble(X0))) [input p4]
20. ~curious(alice) & ~strong(alice) [input p19]
25. patient(alice) [input hypothesis]
53. ! [X0] : ((~patient(X0) | (curious(X0) & ~humbl... | 0 |
If paul is curious or not quiet then someone is both old and not wise. If susan is not wise then someone is not brave or calm and vice versa. If susan is funny then someone is either not quiet or quiet. Everyone who is both kind and not tall is not calm. Everyone who is not curious is both not happy and generous and vi... | Susan is not generous. | neutral | (((curious(paul)|~quiet(paul)))=>(?[X]:((old(X)&~wise(X)))))&
((~wise(susan))<=>(?[X]:((~brave(X)|calm(X)))))&
((funny(susan))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:((kind(X)&~tall(X))=>~calm(X)))&
(![X]:(~curious(X)<=>(~happy(X)&generous(X))))&
(![X]:((~wise(X)|~strong(X))<=>(old(X)<~>~curious(X))))&
(![X]:((happy(... | ~generous(susan) | [] | null | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa. If susan is both creative and kind then someone is not patient. Everyone who is both not humble and not happy is kind or generous and vice versa. Everyone who is not rich is not strong or humble. Everyone who is wise is generous. If fred... | Lucy is not humble. | entailment | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
(((creative(susan)&kind(susan)))=>(?[X]:(~patient(X))))&
(![X]:((~humble(X)&~happy(X))<=>(kind(X)|generous(X))))&
(![X]:(~rich(X)=>(~strong(X)|humble(X))))&
(![X]:(wise(X)=>generous(X)))&
(((~rich(fred)|quiet(fred)))=>(?[X]:((~tall(X)<~>generous(X)))))&
(![X]:(... | ~humble(lucy) | [
"p0",
"p2",
"p4",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1309844364456372202678987
% SZS output start Proof for 1309844364456372202678987
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~happy(X0) <~> generous(X0))) [input p0]
3. ! [X0] : ((~happy(X0) & ~humble(X0)) <=> (generous(X0) | kind(X0))) [input p2]
5. ! [X0] : (wise(X0) => generous(X0)) [in... | 0 |
Everyone who is either brave or not creative is both not patient and not strong.
If someone is both not wise and kind then someone is not humble and vice versa.
Everyone who is generous or rich is both kind and humble and vice versa.
If someone is either calm or curious then john is either not patient or not kind.
If p... | Alice is not calm. | neutral | (![X]:((brave(X)<~>~creative(X))=>(~patient(X)&~strong(X))))&
((?[X]:((~wise(X)&kind(X))))<=>(?[X]:(~humble(X))))&
(![X]:((generous(X)|rich(X))<=>(kind(X)&humble(X))))&
((?[X]:((calm(X)<~>curious(X))))=>((~patient(john)<~>~kind(john))))&
(((rich(paul)<~>~calm(paul)))=>(?[X]:((~quiet(X)|~old(X)))))&
(![X]:((quiet(X)&~ca... | ~calm(alice) | [] | null | 0 |
Everyone who is happy or brave is humble or kind.
If john is generous or not rich then john is not old and vice versa.
Everyone who is both not funny and tall is not curious and vice versa.
Everyone who is both not generous and not tall is either funny or not wise and vice versa.
Everyone who is both brave and not calm... | Paul is not funny. | neutral | (![X]:((happy(X)|brave(X))=>(humble(X)|kind(X))))&
(((generous(john)|~rich(john)))<=>(~old(john)))&
(![X]:((~funny(X)&tall(X))<=>~curious(X)))&
(![X]:((~generous(X)&~tall(X))<=>(funny(X)<~>~wise(X))))&
(![X]:((brave(X)&~calm(X))<=>(~calm(X)|wise(X))))&
(![X]:((~creative(X)|~curious(X))<=>~rich(X)))&
(![X]:((~brave(X)<~... | ~funny(paul) | [] | null | 0 |
Everyone who is either not brave or patient is not creative and vice versa. If someone is both not generous and not curious then someone is not tall or not kind. Everyone who is both calm and happy is not curious and vice versa. Everyone who is either quiet or happy is either not patient or not quiet and vice versa. Ev... | Lucy is humble. | contradiction | (![X]:((~brave(X)<~>patient(X))<=>~creative(X)))&
((?[X]:((~generous(X)&~curious(X))))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:((calm(X)&happy(X))<=>~curious(X)))&
(![X]:((quiet(X)<~>happy(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:(~happy(X)=>~tall(X)))&
(((~quiet(lucy)|~tall(lucy)))<=>((~tall(fred)&~strong(fred))))&
(![X... | humble(lucy) | [
"p0",
"p3",
"p4",
"p5",
"p10",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4064064168914157757239306
% SZS output start Proof for 4064064168914157757239306
1. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> ~creative(X0)) [input p0]
4. ! [X0] : ((quiet(X0) <~> happy(X0)) <=> (~patient(X0) <~> ~quiet(X0))) [input p3]
5. ! [X0] : (~happy(X0) => ~tall(X0)) [input p4]
6.... | 0 |
Everyone who is both patient and not happy is tall or creative.
Everyone who is both not humble and not kind is either not happy or humble and vice versa.
If someone is creative or calm then alice is both not old and happy.
If john is tall then someone is curious or not funny and vice versa.
If someone is both not rich... | Lucy is creative. | contradiction | (![X]:((patient(X)&~happy(X))=>(tall(X)|creative(X))))&
(![X]:((~humble(X)&~kind(X))<=>(~happy(X)<~>humble(X))))&
((?[X]:((creative(X)|calm(X))))=>((~old(alice)&happy(alice))))&
((tall(john))<=>(?[X]:((curious(X)|~funny(X)))))&
((?[X]:((~rich(X)&~creative(X))))<=>((~generous(paul)&quiet(paul))))&
(((creative(susan)|~qu... | creative(lucy) | [
"p1",
"p2",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2181971779056382382639699
% SZS output start Proof for 2181971779056382382639699
2. ! [X0] : ((~kind(X0) & ~humble(X0)) <=> (~happy(X0) <~> humble(X0))) [input p1]
3. ? [X0] : (calm(X0) | creative(X0)) => (happy(alice) & ~old(alice)) [input p2]
7. ! [X0] : ((~calm(X0) & kind(X0)) => ~stro... | 0 |
Everyone who is not old or not wise is both tall and patient.
If someone is both not wise and curious then susan is not calm or happy and vice versa.
If someone is either happy or not strong then mary is both not happy and not strong.
Everyone who is both not strong and not creative is either not wise or creative and v... | John is brave. | contradiction | (![X]:((~old(X)|~wise(X))=>(tall(X)&patient(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~calm(susan)|happy(susan))))&
((?[X]:((happy(X)<~>~strong(X))))=>((~happy(mary)&~strong(mary))))&
(![X]:((~strong(X)&~creative(X))<=>(~wise(X)<~>creative(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((calm(john)|~strong(john))))&
(![X]:((~k... | brave(john) | [
"p0",
"p2",
"p3",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7550116071169717371831210
% SZS output start Proof for 7550116071169717371831210
1. ! [X0] : ((~wise(X0) | ~old(X0)) => (patient(X0) & tall(X0))) [input p0]
3. ? [X0] : (happy(X0) <~> ~strong(X0)) => (~strong(mary) & ~happy(mary)) [input p2]
4. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> ... | 0 |
Everyone who is both not old and not rich is both rich and not tall and vice versa.
Everyone who is not old or not humble is both kind and creative.
Everyone who is both kind and not rich is both rich and not calm.
Everyone who is both curious and not patient is either humble or old and vice versa.
If someone is humble... | Mary is creative. | contradiction | (![X]:((~old(X)&~rich(X))<=>(rich(X)&~tall(X))))&
(![X]:((~old(X)|~humble(X))=>(kind(X)&creative(X))))&
(![X]:((kind(X)&~rich(X))=>(rich(X)&~calm(X))))&
(![X]:((curious(X)&~patient(X))<=>(humble(X)<~>old(X))))&
((?[X]:((humble(X)|rich(X))))=>(~strong(mary)))&
((?[X]:(~generous(X)))<=>((calm(susan)|funny(susan))))&
(![X... | creative(mary) | [
"p1",
"p3",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 642882852601526929384741
% SZS output start Proof for 642882852601526929384741
2. ! [X0] : ((~humble(X0) | ~old(X0)) => (creative(X0) & kind(X0))) [input p1]
4. ! [X0] : ((~patient(X0) & curious(X0)) <=> (humble(X0) <~> old(X0))) [input p3]
11. ! [X0] : ((kind(X0) | ~curious(X0)) <=> ~cre... | 0 |
If someone is either not wise or patient then someone is either not wise or brave. If someone is creative then someone is happy. Everyone who is both not calm and not curious is calm and vice versa. Everyone who is both not generous and not humble is creative and vice versa. Everyone who is not happy or not funny is bo... | Alice is not curious. | contradiction | ((?[X]:((~wise(X)<~>patient(X))))=>(?[X]:((~wise(X)<~>brave(X)))))&
((?[X]:(creative(X)))=>(?[X]:(happy(X))))&
(![X]:((~calm(X)&~curious(X))<=>calm(X)))&
(![X]:((~generous(X)&~humble(X))<=>creative(X)))&
(![X]:((~happy(X)|~funny(X))=>(wise(X)&happy(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~old(X)&creative(X))))&
(![X]:((q... | ~curious(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3586379720240653116396487
% SZS output start Proof for 3586379720240653116396487
3. ! [X0] : ((~curious(X0) & ~calm(X0)) <=> calm(X0)) [input p2]
21. ~curious(alice) [input hypothesis]
43. ! [X0] : (((~curious(X0) & ~calm(X0)) | ~calm(X0)) & (calm(X0) | (curious(X0) | calm(X0)))) [nnf tra... | 0 |
Everyone who is both tall and wise is not strong or not brave and vice versa. If someone is both humble and not old then someone is either not creative or not happy and vice versa. Everyone who is either kind or calm is both strong and not creative and vice versa. If fred is either not generous or patient then alice is... | Paul is not curious. | neutral | (![X]:((tall(X)&wise(X))<=>(~strong(X)|~brave(X))))&
((?[X]:((humble(X)&~old(X))))<=>(?[X]:((~creative(X)<~>~happy(X)))))&
(![X]:((kind(X)<~>calm(X))<=>(strong(X)&~creative(X))))&
(((~generous(fred)<~>patient(fred)))<=>((~brave(alice)|~creative(alice))))&
((?[X]:((quiet(X)<~>~calm(X))))<=>((~funny(fred)<~>~calm(fred)))... | ~curious(paul) | [] | null | 0 |
Everyone who is old is either rich or creative.
If someone is generous then someone is patient.
Everyone who is either tall or not rich is both patient and not wise.
If john is not humble then someone is either wise or brave and vice versa.
Everyone who is not rich or not curious is both not generous and not happy.
Eve... | Alice is not old. | contradiction | (![X]:(old(X)=>(rich(X)<~>creative(X))))&
((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
(![X]:((tall(X)<~>~rich(X))=>(patient(X)&~wise(X))))&
((~humble(john))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((~rich(X)|~curious(X))=>(~generous(X)&~happy(X))))&
(![X]:((kind(X)|~tall(X))<=>happy(X)))&
(((~brave(alice)|generous(ali... | ~old(alice) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1426168280763842650902793
% SZS output start Proof for 1426168280763842650902793
2. ? [X0] : generous(X0) => ? [X0] : patient(X0) [input p1]
3. ! [X0] : ((tall(X0) <~> ~rich(X0)) => (~wise(X0) & patient(X0))) [input p2]
5. ! [X0] : ((~curious(X0) | ~rich(X0)) => (~happy(X0) & ~generous(X0... | 0 |
If someone is not calm then someone is both strong and creative and vice versa.
Everyone who is not funny is not kind or not creative.
If someone is calm then susan is not wise and vice versa.
If someone is calm then lucy is both curious and not wise.
If someone is both not tall and not quiet then someone is not patien... | Susan is kind. | entailment | ((?[X]:(~calm(X)))<=>(?[X]:((strong(X)&creative(X)))))&
(![X]:(~funny(X)=>(~kind(X)|~creative(X))))&
((?[X]:(calm(X)))<=>(~wise(susan)))&
((?[X]:(calm(X)))=>((curious(lucy)&~wise(lucy))))&
((?[X]:((~tall(X)&~quiet(X))))<=>(?[X]:(~patient(X))))&
(![X]:((brave(X)|strong(X))=>(brave(X)|~strong(X))))&
(![X]:((~creative(X)&... | kind(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 52051155490625875532154
% SZS output start Proof for 52051155490625875532154
9. ! [X0] : ((~kind(X0) & strong(X0)) <=> (~kind(X0) & ~strong(X0))) [input p8]
22. ~kind(susan) [input hypothesis]
59. ! [X0] : (((~kind(X0) & strong(X0)) | (kind(X0) | strong(X0))) & ((~kind(X0) & ~strong(X0)) ... | 0 |
If someone is either quiet or generous then someone is rich and vice versa.
Everyone who is calm or not happy is old and vice versa.
If mary is both not old and calm then someone is brave and vice versa.
Everyone who is either generous or not humble is not rich or not patient and vice versa.
If someone is both calm and... | Mary is not brave. | entailment | ((?[X]:((quiet(X)<~>generous(X))))<=>(?[X]:(rich(X))))&
(![X]:((calm(X)|~happy(X))<=>old(X)))&
(((~old(mary)&calm(mary)))<=>(?[X]:(brave(X))))&
(![X]:((generous(X)<~>~humble(X))<=>(~rich(X)|~patient(X))))&
((?[X]:((calm(X)&old(X))))<=>((~kind(paul)<~>generous(paul))))&
(![X]:(happy(X)=>(generous(X)|brave(X))))&
((?[X]:... | ~brave(mary) | [
"p2",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5104099204048667364346876
% SZS output start Proof for 5104099204048667364346876
3. (calm(mary) & ~old(mary)) <=> ? [X0] : brave(X0) [input p2]
21. wise(mary) & old(mary) [input p20]
25. brave(mary) [input hypothesis]
47. ((calm(mary) & ~old(mary)) | ! [X0] : ~brave(X0)) & (? [X0] : brave... | 0 |
If someone is not happy or not rich then alice is not happy and vice versa.
Everyone who is either kind or tall is not wise and vice versa.
Everyone who is patient or strong is humble or patient.
If someone is not funny then paul is tall or not funny.
Everyone who is brave is not brave or not kind.
If someone is both t... | Susan is not generous. | entailment | ((?[X]:((~happy(X)|~rich(X))))<=>(~happy(alice)))&
(![X]:((kind(X)<~>tall(X))<=>~wise(X)))&
(![X]:((patient(X)|strong(X))=>(humble(X)|patient(X))))&
((?[X]:(~funny(X)))=>((tall(paul)|~funny(paul))))&
(![X]:(brave(X)=>(~brave(X)|~kind(X))))&
((?[X]:((tall(X)&quiet(X))))=>(brave(mary)))&
(![X]:((funny(X)&~strong(X))=>(ge... | ~generous(susan) | [
"p4",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2995687775360594745546400
% SZS output start Proof for 2995687775360594745546400
5. ! [X0] : (brave(X0) => (~kind(X0) | ~brave(X0))) [input p4]
9. ! [X0] : ((generous(X0) <~> ~rich(X0)) <=> (kind(X0) & old(X0))) [input p8]
18. rich(susan) & brave(susan) [input p17]
25. generous(susan) [in... | 0 |
If someone is both old and quiet then someone is both tall and not rich and vice versa.
If john is kind or quiet then john is brave or strong and vice versa.
If lucy is both humble and brave then john is tall and vice versa.
If mary is both not curious and not wise then fred is either not brave or not humble.
Everyone ... | Lucy is not patient. | entailment | ((?[X]:((old(X)&quiet(X))))<=>(?[X]:((tall(X)&~rich(X)))))&
(((kind(john)|quiet(john)))<=>((brave(john)|strong(john))))&
(((humble(lucy)&brave(lucy)))<=>(tall(john)))&
(((~curious(mary)&~wise(mary)))=>((~brave(fred)<~>~humble(fred))))&
(![X]:((brave(X)<~>~tall(X))=>(~patient(X)&~calm(X))))&
((?[X]:((creative(X)<~>brave... | ~patient(lucy) | [
"p4",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6008412937048954223749821
% SZS output start Proof for 6008412937048954223749821
5. ! [X0] : ((brave(X0) <~> ~tall(X0)) => (~calm(X0) & ~patient(X0))) [input p4]
9. ! [X0] : (tall(X0) <=> brave(X0)) [input p8]
16. ! [X0] : ((~strong(X0) | ~brave(X0)) => patient(X0)) [input p15]
23. patien... | 0 |
Everyone who is happy is funny or humble and vice versa.
Everyone who is both wise and not strong is both funny and not rich.
Everyone who is strong is both old and not funny.
Everyone who is humble is not brave or old.
If someone is both curious and not quiet then paul is either kind or not curious.
If lucy is quiet o... | Susan is strong. | neutral | (![X]:(happy(X)<=>(funny(X)|humble(X))))&
(![X]:((wise(X)&~strong(X))=>(funny(X)&~rich(X))))&
(![X]:(strong(X)=>(old(X)&~funny(X))))&
(![X]:(humble(X)=>(~brave(X)|old(X))))&
((?[X]:((curious(X)&~quiet(X))))=>((kind(paul)<~>~curious(paul))))&
(((quiet(lucy)|~rich(lucy)))<=>((creative(paul)|~calm(paul))))&
(![X]:((genero... | strong(susan) | [] | null | 0 |
Everyone who is either creative or strong is either quiet or rich.
If paul is not kind then alice is both tall and not creative.
Everyone who is either not curious or not rich is either not kind or quiet and vice versa.
If alice is both patient and not kind then fred is both calm and patient and vice versa.
Everyone wh... | Fred is not generous. | neutral | (![X]:((creative(X)<~>strong(X))=>(quiet(X)<~>rich(X))))&
((~kind(paul))=>((tall(alice)&~creative(alice))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~kind(X)<~>quiet(X))))&
(((patient(alice)&~kind(alice)))<=>((calm(fred)&patient(fred))))&
(![X]:(~happy(X)=>(~creative(X)|generous(X))))&
(![X]:((tall(X)<~>~generous(X))<=>~ric... | ~generous(fred) | [] | null | 0 |
Everyone who is both rich and funny is not humble or brave.
If mary is happy or not tall then mary is both creative and not humble.
Everyone who is not rich or not humble is both not creative and not curious and vice versa.
Everyone who is creative is tall or not generous and vice versa.
Everyone who is not humble or n... | Alice is not generous. | contradiction | (![X]:((rich(X)&funny(X))=>(~humble(X)|brave(X))))&
(((happy(mary)|~tall(mary)))=>((creative(mary)&~humble(mary))))&
(![X]:((~rich(X)|~humble(X))<=>(~creative(X)&~curious(X))))&
(![X]:(creative(X)<=>(tall(X)|~generous(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(X)|~strong(X))))&
(((~strong(alice)<~>old(alice)))<=>(?[X]:... | ~generous(alice) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 409833514276056922068380
% SZS output start Proof for 409833514276056922068380
4. ! [X0] : (creative(X0) <=> (~generous(X0) | tall(X0))) [input p3]
8. ! [X0] : ((generous(X0) & humble(X0)) <=> (creative(X0) | ~generous(X0))) [input p7]
24. ~generous(alice) [input hypothesis]
36. ! [X0] : ... | 0 |
Everyone who is humble or not calm is not quiet or not tall.
Everyone who is not creative or creative is tall or quiet and vice versa.
Everyone who is both not curious and wise is either not humble or not brave.
Everyone who is both funny and not old is both not creative and not quiet and vice versa.
If someone is not ... | Paul is not strong. | entailment | (![X]:((humble(X)|~calm(X))=>(~quiet(X)|~tall(X))))&
(![X]:((~creative(X)|creative(X))<=>(tall(X)|quiet(X))))&
(![X]:((~curious(X)&wise(X))=>(~humble(X)<~>~brave(X))))&
(![X]:((funny(X)&~old(X))<=>(~creative(X)&~quiet(X))))&
((?[X]:((~rich(X)|~calm(X))))<=>((~old(susan)&old(susan))))&
(((~rich(fred)&happy(fred)))<=>(?[... | ~strong(paul) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 476013040864690556628735
% SZS output start Proof for 476013040864690556628735
1. ! [X0] : ((~calm(X0) | humble(X0)) => (~tall(X0) | ~quiet(X0))) [input p0]
2. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (quiet(X0) | tall(X0))) [input p1]
5. ? [X0] : (~calm(X0) | ~rich(X0)) <=> (old(susa... | 0 |
If someone is not happy then someone is both not tall and patient and vice versa. Everyone who is not tall or not calm is tall or strong. If someone is either happy or not calm then someone is kind or tall. Everyone who is kind is not happy and vice versa. If john is both quiet and funny then someone is either not crea... | John is not creative. | entailment | ((?[X]:(~happy(X)))<=>(?[X]:((~tall(X)&patient(X)))))&
(![X]:((~tall(X)|~calm(X))=>(tall(X)|strong(X))))&
((?[X]:((happy(X)<~>~calm(X))))=>(?[X]:((kind(X)|tall(X)))))&
(![X]:(kind(X)<=>~happy(X)))&
(((quiet(john)&funny(john)))<=>(?[X]:((~creative(X)<~>humble(X)))))&
((?[X]:(old(X)))<=>((brave(john)&~rich(john))))&
(![X... | ~creative(john) | [
"p3",
"p4",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8571557146202712972560891
% SZS output start Proof for 8571557146202712972560891
4. ! [X0] : (kind(X0) <=> ~happy(X0)) [input p3]
5. (funny(john) & quiet(john)) <=> ? [X0] : (~creative(X0) <~> humble(X0)) [input p4]
10. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> (~kind(X0) <~> humble(X0))) [i... | 0 |
If fred is both generous and tall then susan is patient or brave.
Everyone who is both old and not patient is either patient or creative and vice versa.
If someone is rich then fred is both kind and not generous.
If susan is both kind and quiet then someone is both not calm and generous.
If fred is either generous or t... | Alice is not quiet. | entailment | (((generous(fred)&tall(fred)))=>((patient(susan)|brave(susan))))&
(![X]:((old(X)&~patient(X))<=>(patient(X)<~>creative(X))))&
((?[X]:(rich(X)))=>((kind(fred)&~generous(fred))))&
(((kind(susan)&quiet(susan)))=>(?[X]:((~calm(X)&generous(X)))))&
(((generous(fred)<~>tall(fred)))<=>(?[X]:((~curious(X)<~>generous(X)))))&
(![... | ~quiet(alice) | [
"p2",
"p5",
"p7",
"p8",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4369171017656016409158931
% SZS output start Proof for 4369171017656016409158931
3. ? [X0] : rich(X0) => (~generous(fred) & kind(fred)) [input p2]
6. ! [X0] : (strong(X0) => (kind(X0) & ~humble(X0))) [input p5]
8. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (happy(X0) & ~curious(X0))) [inp... | 0 |
Everyone who is either not humble or not kind is either not tall or strong. Everyone who is humble is not rich or not brave. Everyone who is funny or patient is rich or not tall and vice versa. If someone is either not rich or not happy then someone is brave or not happy. Everyone who is not brave is not quiet or brave... | John is not humble. | neutral | (![X]:((~humble(X)<~>~kind(X))=>(~tall(X)<~>strong(X))))&
(![X]:(humble(X)=>(~rich(X)|~brave(X))))&
(![X]:((funny(X)|patient(X))<=>(rich(X)|~tall(X))))&
((?[X]:((~rich(X)<~>~happy(X))))=>(?[X]:((brave(X)|~happy(X)))))&
(![X]:(~brave(X)<=>(~quiet(X)|brave(X))))&
(![X]:((~humble(X)<~>~calm(X))=>(~kind(X)&humble(X))))&
(!... | ~humble(john) | [] | null | 0 |
If john is both not patient and kind then susan is creative. Everyone who is curious is either tall or funny and vice versa. Everyone who is not curious or wise is either strong or brave and vice versa. If someone is not strong or calm then mary is either curious or not kind and vice versa. Everyone who is both patient... | Fred is happy. | entailment | (((~patient(john)&kind(john)))=>(creative(susan)))&
(![X]:(curious(X)<=>(tall(X)<~>funny(X))))&
(![X]:((~curious(X)|wise(X))<=>(strong(X)<~>brave(X))))&
((?[X]:((~strong(X)|calm(X))))<=>((curious(mary)<~>~kind(mary))))&
(![X]:((patient(X)&wise(X))=>~tall(X)))&
(((calm(fred)&~creative(fred)))=>(~kind(paul)))&
(![X]:((~p... | happy(fred) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 517714624551806768449926
% SZS output start Proof for 517714624551806768449926
8. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (kind(X0) & quiet(X0))) [input p7]
14. ! [X0] : (~happy(X0) => (humble(X0) & ~quiet(X0))) [input p13]
24. ~happy(fred) [input hypothesis]
27. ! [X0] : (~happy(X0) => ... | 0 |
Everyone who is both not patient and happy is not tall and vice versa. If someone is tall or rich then susan is not old or not curious. Everyone who is not calm or not brave is both happy and not wise and vice versa. Everyone who is either happy or not creative is either not calm or not curious and vice versa. If fred ... | Lucy is not quiet. | neutral | (![X]:((~patient(X)&happy(X))<=>~tall(X)))&
((?[X]:((tall(X)|rich(X))))=>((~old(susan)|~curious(susan))))&
(![X]:((~calm(X)|~brave(X))<=>(happy(X)&~wise(X))))&
(![X]:((happy(X)<~>~creative(X))<=>(~calm(X)<~>~curious(X))))&
(((~funny(fred)|~kind(fred)))=>(?[X]:(funny(X))))&
(![X]:((~kind(X)|~quiet(X))<=>(~humble(X)&happ... | ~quiet(lucy) | [] | null | 0 |
Everyone who is either not tall or humble is not creative.
If fred is kind then someone is not kind or patient.
Everyone who is not calm is brave or calm and vice versa.
If someone is calm or happy then susan is both not kind and not wise.
If someone is not quiet then mary is kind or not creative.
Everyone who is eithe... | Alice is not happy. | entailment | (![X]:((~tall(X)<~>humble(X))=>~creative(X)))&
((kind(fred))=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(~calm(X)<=>(brave(X)|calm(X))))&
((?[X]:((calm(X)|happy(X))))=>((~kind(susan)&~wise(susan))))&
((?[X]:(~quiet(X)))=>((kind(mary)|~creative(mary))))&
(![X]:((~curious(X)<~>patient(X))=>quiet(X)))&
(((tall(lucy)|brave(lu... | ~happy(alice) | [
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3225736778452373396752429
% SZS output start Proof for 3225736778452373396752429
15. ? [X0] : funny(X0) => (~happy(alice) & humble(alice)) [input p14]
18. ? [X0] : funny(X0) [input p17]
24. happy(alice) [input hypothesis]
39. (~happy(alice) & humble(alice)) | ! [X0] : ~funny(X0) [ennf tra... | 0 |
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