premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not funny or patient is both not creative and not generous.
If someone is either curious or funny then susan is not rich.
Everyone who is both not creative and old is not wise.
Everyone who is either not kind or strong is both rich and not rich.
Everyone who is not strong or happy is both generous and n... | Lucy is strong. | neutral | (![X]:((~funny(X)|patient(X))=>(~creative(X)&~generous(X))))&
((?[X]:((curious(X)<~>funny(X))))=>(~rich(susan)))&
(![X]:((~creative(X)&old(X))=>~wise(X)))&
(![X]:((~kind(X)<~>strong(X))=>(rich(X)&~rich(X))))&
(![X]:((~strong(X)|happy(X))=>(generous(X)&~creative(X))))&
(![X]:(patient(X)<=>happy(X)))&
(((curious(alice)&~... | strong(lucy) | [] | null | 0 |
Everyone who is not strong or old is humble or not brave.
If alice is either happy or not curious then alice is either old or not generous and vice versa.
If someone is creative or funny then alice is strong or humble.
Everyone who is creative or humble is not tall or tall and vice versa.
Everyone who is either generou... | Paul is tall. | contradiction | (![X]:((~strong(X)|old(X))=>(humble(X)|~brave(X))))&
(((happy(alice)<~>~curious(alice)))<=>((old(alice)<~>~generous(alice))))&
((?[X]:((creative(X)|funny(X))))=>((strong(alice)|humble(alice))))&
(![X]:((creative(X)|humble(X))<=>(~tall(X)|tall(X))))&
(![X]:((generous(X)<~>~humble(X))=>happy(X)))&
(((~tall(paul)|~old(pau... | tall(paul) | [
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3401437375220051929209085
% SZS output start Proof for 3401437375220051929209085
8. ! [X0] : ((happy(X0) & ~generous(X0)) => (happy(X0) <~> ~kind(X0))) [input p7]
11. ! [X0] : ((curious(X0) | happy(X0)) <=> ~generous(X0)) [input p10]
12. (tall(paul) | humble(paul)) <=> (calm(paul) & creat... | 0 |
If someone is wise or happy then someone is both not kind and not brave and vice versa. Everyone who is either quiet or creative is both not quiet and not calm. If john is not funny or not strong then fred is either rich or not creative. Everyone who is both not creative and quiet is not strong or tall and vice versa. ... | John is not tall. | entailment | ((?[X]:((wise(X)|happy(X))))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:((quiet(X)<~>creative(X))=>(~quiet(X)&~calm(X))))&
(((~funny(john)|~strong(john)))=>((rich(fred)<~>~creative(fred))))&
(![X]:((~creative(X)&quiet(X))<=>(~strong(X)|tall(X))))&
((~brave(lucy))<=>(?[X]:((funny(X)&~old(X)))))&
(((funny(lucy)&~happy(lucy)... | ~tall(john) | [
"p1",
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2534704093102109434252175
% SZS output start Proof for 2534704093102109434252175
2. ! [X0] : ((quiet(X0) <~> creative(X0)) => (~calm(X0) & ~quiet(X0))) [input p1]
4. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> (tall(X0) | ~strong(X0))) [input p3]
14. ! [X0] : (~creative(X0) <=> (~tall(X0) |... | 0 |
If someone is calm or not curious then someone is curious or not brave and vice versa. Everyone who is not tall is humble and vice versa. Everyone who is either not rich or not quiet is not creative. If john is either not wise or patient then someone is either calm or strong and vice versa. If someone is strong then al... | John is not funny. | contradiction | ((?[X]:((calm(X)|~curious(X))))<=>(?[X]:((curious(X)|~brave(X)))))&
(![X]:(~tall(X)<=>humble(X)))&
(![X]:((~rich(X)<~>~quiet(X))=>~creative(X)))&
(((~wise(john)<~>patient(john)))<=>(?[X]:((calm(X)<~>strong(X)))))&
((?[X]:(strong(X)))<=>((~old(alice)|~creative(alice))))&
(![X]:((~funny(X)<~>creative(X))=>(~wise(X)|~tall... | ~funny(john) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3581125353518775859927837
% SZS output start Proof for 3581125353518775859927837
13. ! [X0] : ((happy(X0) | ~happy(X0)) => (~generous(X0) <~> ~funny(X0))) [input p12]
16. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (generous(X0) | old(X0))) [input p15]
23. ~funny(john) [input hypothesis]
3... | 0 |
If mary is either not calm or not tall then someone is strong.
If someone is both not curious and not generous then someone is both not creative and not wise.
If someone is both strong and old then someone is not patient and vice versa.
Everyone who is either curious or quiet is not creative or not old and vice versa.
... | Lucy is not creative. | entailment | (((~calm(mary)<~>~tall(mary)))=>(?[X]:(strong(X))))&
((?[X]:((~curious(X)&~generous(X))))=>(?[X]:((~creative(X)&~wise(X)))))&
((?[X]:((strong(X)&old(X))))<=>(?[X]:(~patient(X))))&
(![X]:((curious(X)<~>quiet(X))<=>(~creative(X)|~old(X))))&
((?[X]:((~humble(X)<~>~happy(X))))<=>((old(john)&rich(john))))&
(![X]:((happy(X)|... | ~creative(lucy) | [
"p5",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1137759282526987960958986
% SZS output start Proof for 1137759282526987960958986
6. ! [X0] : ((brave(X0) | happy(X0)) <=> (~strong(X0) & quiet(X0))) [input p5]
10. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> (~generous(X0) <~> creative(X0))) [input p9]
24. brave(lucy) & generous(lucy) [input p2... | 0 |
Everyone who is not humble is both not humble and not rich and vice versa. Everyone who is either tall or not humble is both not curious and patient and vice versa. Everyone who is either creative or not rich is curious. If mary is creative or not old then someone is either tall or not old. If someone is both creative ... | Alice is not quiet. | contradiction | (![X]:(~humble(X)<=>(~humble(X)&~rich(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(~curious(X)&patient(X))))&
(![X]:((creative(X)<~>~rich(X))=>curious(X)))&
(((creative(mary)|~old(mary)))=>(?[X]:((tall(X)<~>~old(X)))))&
((?[X]:((creative(X)&~calm(X))))<=>(?[X]:((quiet(X)&~quiet(X)))))&
((?[X]:((~curious(X)<~>~old(X))))=>((~... | ~quiet(alice) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p8",
"p10",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2963188468272012686335027
% SZS output start Proof for 2963188468272012686335027
1. ! [X0] : (~humble(X0) <=> (~rich(X0) & ~humble(X0))) [input p0]
2. ! [X0] : ((tall(X0) <~> ~humble(X0)) <=> (patient(X0) & ~curious(X0))) [input p1]
3. ! [X0] : ((creative(X0) <~> ~rich(X0)) => curious(X0)... | 0 |
Everyone who is both calm and old is both not wise and curious.
Everyone who is not wise is rich or kind.
Everyone who is not wise or not rich is old or not funny and vice versa.
If someone is both not quiet and wise then someone is not rich.
Everyone who is both not generous and not happy is both not happy and tall an... | Lucy is not happy. | neutral | (![X]:((calm(X)&old(X))=>(~wise(X)&curious(X))))&
(![X]:(~wise(X)=>(rich(X)|kind(X))))&
(![X]:((~wise(X)|~rich(X))<=>(old(X)|~funny(X))))&
((?[X]:((~quiet(X)&wise(X))))=>(?[X]:(~rich(X))))&
(![X]:((~generous(X)&~happy(X))<=>(~happy(X)&tall(X))))&
(![X]:(~happy(X)<=>(~curious(X)|~happy(X))))&
((~wise(fred))<=>((~humble(... | ~happy(lucy) | [] | null | 0 |
Everyone who is either not strong or not funny is either generous or wise. If someone is funny or not brave then lucy is rich and vice versa. Everyone who is either not creative or not happy is rich and vice versa. Everyone who is either patient or not old is both generous and humble and vice versa. Everyone who is not... | Susan is not kind. | neutral | (![X]:((~strong(X)<~>~funny(X))=>(generous(X)<~>wise(X))))&
((?[X]:((funny(X)|~brave(X))))<=>(rich(lucy)))&
(![X]:((~creative(X)<~>~happy(X))<=>rich(X)))&
(![X]:((patient(X)<~>~old(X))<=>(generous(X)&humble(X))))&
(![X]:(~rich(X)<=>(patient(X)<~>~happy(X))))&
((?[X]:(~happy(X)))<=>(?[X]:(~calm(X))))&
(![X]:((funny(X)<~... | ~kind(susan) | [] | null | 0 |
Everyone who is not creative is both not calm and not humble and vice versa. Everyone who is either happy or strong is not quiet or not patient and vice versa. Everyone who is not creative or not curious is both not old and tall and vice versa. If someone is both not curious and not happy then lucy is both wise and not... | Mary is wise. | neutral | (![X]:(~creative(X)<=>(~calm(X)&~humble(X))))&
(![X]:((happy(X)<~>strong(X))<=>(~quiet(X)|~patient(X))))&
(![X]:((~creative(X)|~curious(X))<=>(~old(X)&tall(X))))&
((?[X]:((~curious(X)&~happy(X))))<=>((wise(lucy)&~calm(lucy))))&
(![X]:((~strong(X)<~>wise(X))=>~quiet(X)))&
(![X]:(humble(X)<=>brave(X)))&
(![X]:(~funny(X)<... | wise(mary) | [] | null | 0 |
Everyone who is either not curious or not tall is either not curious or not patient and vice versa.
If someone is not curious then mary is either strong or generous.
If lucy is both not rich and quiet then susan is either creative or rich and vice versa.
If paul is not rich then someone is both not happy and happy.
If ... | Paul is not rich. | contradiction | (![X]:((~curious(X)<~>~tall(X))<=>(~curious(X)<~>~patient(X))))&
((?[X]:(~curious(X)))=>((strong(mary)<~>generous(mary))))&
(((~rich(lucy)&quiet(lucy)))<=>((creative(susan)<~>rich(susan))))&
((~rich(paul))=>(?[X]:((~happy(X)&happy(X)))))&
((?[X]:((~wise(X)<~>tall(X))))=>((~calm(lucy)&~happy(lucy))))&
(![X]:((~kind(X)&b... | ~rich(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5113272295649817559190935
% SZS output start Proof for 5113272295649817559190935
4. ~rich(paul) => ? [X0] : (happy(X0) & ~happy(X0)) [input p3]
25. ~rich(paul) [input hypothesis]
27. ? [X0] : (happy(X0) & ~happy(X0)) | rich(paul) [ennf transformation 4]
43. ? [X0] : (happy(X0) & ~happy(X0... | 0 |
Everyone who is not patient is either not patient or funny and vice versa.
Everyone who is not quiet or not calm is both humble and not creative and vice versa.
Everyone who is not brave or not calm is curious and vice versa.
Everyone who is both creative and not brave is either not tall or not humble.
If mary is funny... | Lucy is funny. | contradiction | (![X]:(~patient(X)<=>(~patient(X)<~>funny(X))))&
(![X]:((~quiet(X)|~calm(X))<=>(humble(X)&~creative(X))))&
(![X]:((~brave(X)|~calm(X))<=>curious(X)))&
(![X]:((creative(X)&~brave(X))=>(~tall(X)<~>~humble(X))))&
(((funny(mary)|~kind(mary)))<=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:(strong(X)<=>(~old(X)<~>~tall(X))))&
(![... | funny(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4543494451734219556368947
% SZS output start Proof for 4543494451734219556368947
1. ! [X0] : (~patient(X0) <=> (~patient(X0) <~> funny(X0))) [input p0]
24. funny(lucy) [input hypothesis]
37. ! [X0] : ((~patient(X0) | ((~patient(X0) | ~funny(X0)) & (funny(X0) | patient(X0)))) & (((~funny(X... | 0 |
If someone is not rich or not tall then susan is not quiet.
If someone is not strong then someone is either happy or calm.
Everyone who is humble or not humble is both not creative and curious.
Everyone who is patient is either not old or not creative and vice versa.
Everyone who is strong or happy is strong or not hap... | Alice is not kind. | contradiction | ((?[X]:((~rich(X)|~tall(X))))=>(~quiet(susan)))&
((?[X]:(~strong(X)))=>(?[X]:((happy(X)<~>calm(X)))))&
(![X]:((humble(X)|~humble(X))=>(~creative(X)&curious(X))))&
(![X]:(patient(X)<=>(~old(X)<~>~creative(X))))&
(![X]:((strong(X)|happy(X))<=>(strong(X)|~happy(X))))&
((?[X]:(generous(X)))=>(?[X]:((~rich(X)&calm(X)))))&
(... | ~kind(alice) | [
"p0",
"p4",
"p5",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3480565157710957715466535
% SZS output start Proof for 3480565157710957715466535
1. ? [X0] : (~tall(X0) | ~rich(X0)) => ~quiet(susan) [input p0]
5. ! [X0] : ((happy(X0) | strong(X0)) <=> (~happy(X0) | strong(X0))) [input p4]
6. ? [X0] : generous(X0) => ? [X0] : (calm(X0) & ~rich(X0)) [inp... | 0 |
Everyone who is not strong or not quiet is both quiet and patient.
Everyone who is both kind and rich is both humble and not funny and vice versa.
Everyone who is either not funny or not generous is not tall or not humble and vice versa.
If someone is not kind then alice is creative.
Everyone who is not brave or brave ... | Susan is not rich. | contradiction | (![X]:((~strong(X)|~quiet(X))=>(quiet(X)&patient(X))))&
(![X]:((kind(X)&rich(X))<=>(humble(X)&~funny(X))))&
(![X]:((~funny(X)<~>~generous(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(~kind(X)))=>(creative(alice)))&
(![X]:((~brave(X)|brave(X))=>(~patient(X)<~>~brave(X))))&
(![X]:((~strong(X)&strong(X))<=>(rich(X)<~>quiet(X)))... | ~rich(susan) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7655938207476221474188937
% SZS output start Proof for 7655938207476221474188937
1. ! [X0] : ((~quiet(X0) | ~strong(X0)) => (patient(X0) & quiet(X0))) [input p0]
6. ! [X0] : ((strong(X0) & ~strong(X0)) <=> (rich(X0) <~> quiet(X0))) [input p5]
25. ~rich(susan) [input hypothesis]
28. ! [X0]... | 0 |
Everyone who is either not rich or tall is generous or not calm.
If susan is both kind and curious then someone is either curious or not patient.
Everyone who is both patient and strong is happy or not kind.
Everyone who is both not quiet and rich is both brave and old.
Everyone who is not patient or not creative is bo... | Paul is not wise. | contradiction | (![X]:((~rich(X)<~>tall(X))=>(generous(X)|~calm(X))))&
(((kind(susan)&curious(susan)))=>(?[X]:((curious(X)<~>~patient(X)))))&
(![X]:((patient(X)&strong(X))=>(happy(X)|~kind(X))))&
(![X]:((~quiet(X)&rich(X))=>(brave(X)&old(X))))&
(![X]:((~patient(X)|~creative(X))=>(generous(X)&~generous(X))))&
(![X]:((~creative(X)<~>~ge... | ~wise(paul) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6218139171312560794664352
% SZS output start Proof for 6218139171312560794664352
5. ! [X0] : ((~creative(X0) | ~patient(X0)) => (~generous(X0) & generous(X0))) [input p4]
7. ! [X0] : ((creative(X0) | curious(X0)) <=> (wise(X0) & ~curious(X0))) [input p6]
22. ~wise(paul) [input hypothesis]... | 0 |
Everyone who is both not quiet and not happy is not patient and vice versa.
Everyone who is curious is creative and vice versa.
Everyone who is both not patient and curious is not tall or not quiet and vice versa.
Everyone who is not funny is either old or not generous.
Everyone who is both not humble and not wise is n... | Alice is not generous. | contradiction | (![X]:((~quiet(X)&~happy(X))<=>~patient(X)))&
(![X]:(curious(X)<=>creative(X)))&
(![X]:((~patient(X)&curious(X))<=>(~tall(X)|~quiet(X))))&
(![X]:(~funny(X)=>(old(X)<~>~generous(X))))&
(![X]:((~humble(X)&~wise(X))<=>~calm(X)))&
(![X]:((humble(X)<~>~rich(X))<=>(generous(X)&~wise(X))))&
(![X]:((~strong(X)<~>~humble(X))<=>... | ~generous(alice) | [
"p0",
"p1",
"p2",
"p5",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7725829944754443035528842
% SZS output start Proof for 7725829944754443035528842
1. ! [X0] : ((~happy(X0) & ~quiet(X0)) <=> ~patient(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> creative(X0)) [input p1]
3. ! [X0] : ((curious(X0) & ~patient(X0)) <=> (~quiet(X0) | ~tall(X0))) [input p2]
6. ... | 0 |
If someone is either kind or not quiet then someone is generous or creative and vice versa.
Everyone who is both kind and curious is not quiet.
Everyone who is generous or not generous is both not calm and not tall.
Everyone who is quiet or wise is either not humble or rich and vice versa.
If susan is not generous or n... | Fred is funny. | neutral | ((?[X]:((kind(X)<~>~quiet(X))))<=>(?[X]:((generous(X)|creative(X)))))&
(![X]:((kind(X)&curious(X))=>~quiet(X)))&
(![X]:((generous(X)|~generous(X))=>(~calm(X)&~tall(X))))&
(![X]:((quiet(X)|wise(X))<=>(~humble(X)<~>rich(X))))&
(((~generous(susan)|~wise(susan)))<=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:((creative(X)&~tal... | funny(fred) | [] | null | 0 |
If someone is not old or old then someone is either not funny or brave and vice versa.
Everyone who is not curious is both quiet and curious and vice versa.
Everyone who is either not happy or funny is both not tall and old.
If paul is both not happy and happy then someone is brave and vice versa.
Everyone who is eithe... | Paul is quiet. | contradiction | ((?[X]:((~old(X)|old(X))))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(![X]:(~curious(X)<=>(quiet(X)&curious(X))))&
(![X]:((~happy(X)<~>funny(X))=>(~tall(X)&old(X))))&
(((~happy(paul)&happy(paul)))<=>(?[X]:(brave(X))))&
(![X]:((kind(X)<~>funny(X))<=>calm(X)))&
((?[X]:((strong(X)<~>~generous(X))))=>(?[X]:((quiet(X)&~tall(X))))... | quiet(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3972503898640519473550055
% SZS output start Proof for 3972503898640519473550055
2. ! [X0] : (~curious(X0) <=> (curious(X0) & quiet(X0))) [input p1]
23. quiet(paul) [input hypothesis]
42. ! [X0] : ((~curious(X0) | (~curious(X0) | ~quiet(X0))) & ((curious(X0) & quiet(X0)) | curious(X0))) [... | 0 |
If mary is not quiet or not old then someone is not generous or strong and vice versa. Everyone who is either not wise or tall is either not funny or patient and vice versa. If john is both not humble and not curious then john is brave. Everyone who is strong is both funny and wise and vice versa. If someone is brave o... | Mary is not brave. | entailment | (((~quiet(mary)|~old(mary)))<=>(?[X]:((~generous(X)|strong(X)))))&
(![X]:((~wise(X)<~>tall(X))<=>(~funny(X)<~>patient(X))))&
(((~humble(john)&~curious(john)))=>(brave(john)))&
(![X]:(strong(X)<=>(funny(X)&wise(X))))&
((?[X]:((brave(X)|creative(X))))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:((~strong(X)|~creative(X))=>o... | ~brave(mary) | [
"p0",
"p6",
"p10",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6218159191301844670227858
% SZS output start Proof for 6218159191301844670227858
1. (~old(mary) | ~quiet(mary)) <=> ? [X0] : (strong(X0) | ~generous(X0)) [input p0]
7. (tall(mary) & wise(mary)) <=> ? [X0] : (~curious(X0) | ~quiet(X0)) [input p6]
11. ? [X0] : ~curious(X0) <=> ? [X0] : (bra... | 0 |
If someone is quiet then john is not rich or not wise.
If someone is either happy or not old then paul is both calm and not humble.
Everyone who is strong or not patient is brave and vice versa.
Everyone who is both rich and creative is old and vice versa.
Everyone who is patient or brave is either kind or not humble.
... | Alice is patient. | entailment | ((?[X]:(quiet(X)))=>((~rich(john)|~wise(john))))&
((?[X]:((happy(X)<~>~old(X))))=>((calm(paul)&~humble(paul))))&
(![X]:((strong(X)|~patient(X))<=>brave(X)))&
(![X]:((rich(X)&creative(X))<=>old(X)))&
(![X]:((patient(X)|brave(X))=>(kind(X)<~>~humble(X))))&
(((~patient(paul)|humble(paul)))<=>((calm(john)<~>funny(john))))&... | patient(alice) | [
"p2",
"p4",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 413839620583120241333855
% SZS output start Proof for 413839620583120241333855
3. ! [X0] : ((~patient(X0) | strong(X0)) <=> brave(X0)) [input p2]
5. ! [X0] : ((brave(X0) | patient(X0)) => (kind(X0) <~> ~humble(X0))) [input p4]
12. ! [X0] : ((~calm(X0) | tall(X0)) => ~curious(X0)) [input p... | 0 |
Everyone who is either strong or not wise is both creative and generous.
Everyone who is either not patient or funny is funny and vice versa.
If someone is both old and not creative then someone is both not wise and not humble.
Everyone who is not humble is not old or happy and vice versa.
Everyone who is curious or no... | John is rich. | neutral | (![X]:((strong(X)<~>~wise(X))=>(creative(X)&generous(X))))&
(![X]:((~patient(X)<~>funny(X))<=>funny(X)))&
((?[X]:((old(X)&~creative(X))))=>(?[X]:((~wise(X)&~humble(X)))))&
(![X]:(~humble(X)<=>(~old(X)|happy(X))))&
(![X]:((curious(X)|~patient(X))=>(tall(X)<~>~strong(X))))&
(![X]:((generous(X)|curious(X))<=>(calm(X)&curi... | rich(john) | [] | null | 0 |
Everyone who is either brave or wise is rich and vice versa.
If someone is brave or creative then paul is not tall and vice versa.
If paul is either not kind or generous then mary is both not brave and not generous.
If someone is happy or not brave then fred is both funny and calm and vice versa.
Everyone who is either... | Alice is calm. | neutral | (![X]:((brave(X)<~>wise(X))<=>rich(X)))&
((?[X]:((brave(X)|creative(X))))<=>(~tall(paul)))&
(((~kind(paul)<~>generous(paul)))=>((~brave(mary)&~generous(mary))))&
((?[X]:((happy(X)|~brave(X))))<=>((funny(fred)&calm(fred))))&
(![X]:((~creative(X)<~>~rich(X))=>(~patient(X)<~>strong(X))))&
(![X]:((strong(X)&~creative(X))<=... | calm(alice) | [] | null | 0 |
If someone is either not funny or funny then someone is both quiet and not strong and vice versa.
Everyone who is not rich or not wise is either not tall or generous and vice versa.
Everyone who is either humble or not humble is old and vice versa.
If someone is both generous and strong then someone is either not gener... | Alice is not happy. | contradiction | ((?[X]:((~funny(X)<~>funny(X))))<=>(?[X]:((quiet(X)&~strong(X)))))&
(![X]:((~rich(X)|~wise(X))<=>(~tall(X)<~>generous(X))))&
(![X]:((humble(X)<~>~humble(X))<=>old(X)))&
((?[X]:((generous(X)&strong(X))))<=>(?[X]:((~generous(X)<~>~wise(X)))))&
((?[X]:((humble(X)|~creative(X))))<=>(~tall(alice)))&
((?[X]:(funny(X)))<=>(?[... | ~happy(alice) | [
"p2",
"p4",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8350858678228210674348045
% SZS output start Proof for 8350858678228210674348045
3. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> old(X0)) [input p2]
5. ? [X0] : (~creative(X0) | humble(X0)) <=> ~tall(alice) [input p4]
16. ! [X0] : ((~tall(X0) <~> happy(X0)) => (wise(X0) & happy(X0))) [input... | 0 |
If someone is not strong then someone is old or not generous and vice versa.
Everyone who is either not quiet or not old is not wise or not humble and vice versa.
If someone is either not quiet or humble then someone is not creative or patient and vice versa.
If someone is both not quiet and not humble then someone is ... | Mary is not generous. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:((old(X)|~generous(X)))))&
(![X]:((~quiet(X)<~>~old(X))<=>(~wise(X)|~humble(X))))&
((?[X]:((~quiet(X)<~>humble(X))))<=>(?[X]:((~creative(X)|patient(X)))))&
((?[X]:((~quiet(X)&~humble(X))))=>(?[X]:((~generous(X)|humble(X)))))&
(![X]:((~quiet(X)|generous(X))=>(tall(X)<~>old(X))))&
(![X]:((cur... | ~generous(mary) | [] | null | 0 |
If someone is both not curious and kind then someone is both not old and not quiet and vice versa.
Everyone who is humble or not generous is either old or funny.
Everyone who is either rich or generous is both patient and funny and vice versa.
If someone is not old then someone is generous or not tall.
Everyone who is ... | Fred is calm. | entailment | ((?[X]:((~curious(X)&kind(X))))<=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((humble(X)|~generous(X))=>(old(X)<~>funny(X))))&
(![X]:((rich(X)<~>generous(X))<=>(patient(X)&funny(X))))&
((?[X]:(~old(X)))=>(?[X]:((generous(X)|~tall(X)))))&
(![X]:((~quiet(X)<~>generous(X))<=>(kind(X)|~funny(X))))&
(((tall(lucy)<~>~kind(lucy)))<... | calm(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7419840346015488434864571
% SZS output start Proof for 7419840346015488434864571
15. ! [X0] : ((funny(X0) | ~funny(X0)) => (strong(X0) & calm(X0))) [input p14]
24. ~calm(fred) [input hypothesis]
37. ! [X0] : ((strong(X0) & calm(X0)) | (~funny(X0) & funny(X0))) [ennf transformation 15]
140... | 0 |
If susan is either old or not brave then susan is quiet and vice versa. Everyone who is either not old or not quiet is not kind. Everyone who is both kind and old is both not strong and brave. If alice is both funny and not funny then mary is both not wise and not calm. Everyone who is both not calm and not brave is ki... | John is wise. | entailment | (((old(susan)<~>~brave(susan)))<=>(quiet(susan)))&
(![X]:((~old(X)<~>~quiet(X))=>~kind(X)))&
(![X]:((kind(X)&old(X))=>(~strong(X)&brave(X))))&
(((funny(alice)&~funny(alice)))=>((~wise(mary)&~calm(mary))))&
(![X]:((~calm(X)&~brave(X))<=>kind(X)))&
(((~old(fred)|~quiet(fred)))<=>((~calm(lucy)<~>brave(lucy))))&
((?[X]:((c... | wise(john) | [
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4504797672446879880853689
% SZS output start Proof for 4504797672446879880853689
5. ! [X0] : ((~brave(X0) & ~calm(X0)) <=> kind(X0)) [input p4]
12. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> (calm(X0) & wise(X0))) [input p11]
14. ! [X0] : ((~calm(X0) | ~creative(X0)) <=> (creative(X0) & ~kind(... | 0 |
Everyone who is either curious or creative is either not rich or not patient and vice versa.
If someone is not curious or not rich then someone is tall.
Everyone who is wise or happy is not strong or strong.
If someone is both calm and curious then someone is wise and vice versa.
If mary is either brave or creative the... | Mary is brave. | contradiction | (![X]:((curious(X)<~>creative(X))<=>(~rich(X)<~>~patient(X))))&
((?[X]:((~curious(X)|~rich(X))))=>(?[X]:(tall(X))))&
(![X]:((wise(X)|happy(X))=>(~strong(X)|strong(X))))&
((?[X]:((calm(X)&curious(X))))<=>(?[X]:(wise(X))))&
(((brave(mary)<~>creative(mary)))<=>((~wise(susan)&~funny(susan))))&
(((~calm(lucy)&~humble(lucy))... | brave(mary) | [
"p4",
"p6",
"p7",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4843254314452711057777830
% SZS output start Proof for 4843254314452711057777830
5. (brave(mary) <~> creative(mary)) <=> (~funny(susan) & ~wise(susan)) [input p4]
7. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> quiet(X0)) [input p6]
8. (rich(john) & happy(john)) <=> ? [X0] : (funny(X0) | ~humbl... | 0 |
If lucy is both not rich and old then lucy is both not curious and not kind.
If someone is old or brave then fred is not patient and vice versa.
Everyone who is either brave or not generous is quiet or old.
Everyone who is not patient or humble is not tall and vice versa.
If someone is not happy then mary is not happy.... | Susan is funny. | entailment | (((~rich(lucy)&old(lucy)))=>((~curious(lucy)&~kind(lucy))))&
((?[X]:((old(X)|brave(X))))<=>(~patient(fred)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall(X)))&
((?[X]:(~happy(X)))=>(~happy(mary)))&
(![X]:((generous(X)|rich(X))=>(curious(X)<~>~funny(X))))&
(![X]:((~happy... | funny(susan) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 641904208070819655932838
% SZS output start Proof for 641904208070819655932838
2. ? [X0] : (brave(X0) | old(X0)) <=> ~patient(fred) [input p1]
3. ! [X0] : ((brave(X0) <~> ~generous(X0)) => (old(X0) | quiet(X0))) [input p2]
4. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~tall(X0)) [input p3]... | 0 |
Everyone who is both not kind and not brave is both not kind and not creative. Everyone who is not strong or brave is not quiet or strong. Everyone who is not happy or not strong is rich or not rich. Everyone who is not curious or humble is both not funny and not humble. If someone is not rich then someone is both not ... | Mary is old. | neutral | (![X]:((~kind(X)&~brave(X))=>(~kind(X)&~creative(X))))&
(![X]:((~strong(X)|brave(X))=>(~quiet(X)|strong(X))))&
(![X]:((~happy(X)|~strong(X))=>(rich(X)|~rich(X))))&
(![X]:((~curious(X)|humble(X))=>(~funny(X)&~humble(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~tall(X)&~patient(X)))))&
((?[X]:((~calm(X)|happy(X))))=>((~humble(ma... | old(mary) | [] | null | 0 |
If someone is both rich and creative then someone is both not funny and not strong.
Everyone who is either not calm or not wise is either happy or not happy and vice versa.
Everyone who is either generous or not old is not patient or not kind and vice versa.
If lucy is either curious or brave then paul is both rich and... | Lucy is not generous. | entailment | ((?[X]:((rich(X)&creative(X))))=>(?[X]:((~funny(X)&~strong(X)))))&
(![X]:((~calm(X)<~>~wise(X))<=>(happy(X)<~>~happy(X))))&
(![X]:((generous(X)<~>~old(X))<=>(~patient(X)|~kind(X))))&
(((curious(lucy)<~>brave(lucy)))<=>((rich(paul)&happy(paul))))&
((?[X]:((~strong(X)&generous(X))))=>((brave(john)<~>~generous(john))))&
(... | ~generous(lucy) | [
"p0",
"p2",
"p6",
"p7",
"p10",
"p13",
"p16",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8562674721076786732584046
% SZS output start Proof for 8562674721076786732584046
1. ? [X0] : (creative(X0) & rich(X0)) => ? [X0] : (~strong(X0) & ~funny(X0)) [input p0]
3. ! [X0] : ((generous(X0) <~> ~old(X0)) <=> (~kind(X0) | ~patient(X0))) [input p2]
7. ! [X0] : (~wise(X0) => (~old(X0) ... | 0 |
Everyone who is creative is not calm and vice versa.
Everyone who is either humble or creative is either not old or creative and vice versa.
If john is both patient and not calm then someone is kind and vice versa.
If someone is either wise or not tall then susan is either not patient or not curious and vice versa.
Eve... | Alice is not humble. | neutral | (![X]:(creative(X)<=>~calm(X)))&
(![X]:((humble(X)<~>creative(X))<=>(~old(X)<~>creative(X))))&
(((patient(john)&~calm(john)))<=>(?[X]:(kind(X))))&
((?[X]:((wise(X)<~>~tall(X))))<=>((~patient(susan)<~>~curious(susan))))&
(![X]:((old(X)|strong(X))<=>creative(X)))&
(![X]:((brave(X)<~>funny(X))=>strong(X)))&
(![X]:(happy(X... | ~humble(alice) | [] | null | 0 |
Everyone who is both tall and not wise is either curious or not generous and vice versa.
Everyone who is either patient or not generous is not wise or old.
If someone is old then fred is not funny and vice versa.
If mary is either not wise or not kind then susan is not quiet or not calm and vice versa.
Everyone who is ... | Lucy is strong. | entailment | (![X]:((tall(X)&~wise(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((patient(X)<~>~generous(X))=>(~wise(X)|old(X))))&
((?[X]:(old(X)))<=>(~funny(fred)))&
(((~wise(mary)<~>~kind(mary)))<=>((~quiet(susan)|~calm(susan))))&
(![X]:((~generous(X)|quiet(X))<=>(patient(X)&~tall(X))))&
(![X]:((~curious(X)<~>~funny(X))<=>kind(X)))... | strong(lucy) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1234166540848218776976029
% SZS output start Proof for 1234166540848218776976029
10. ? [X0] : (~strong(X0) | ~tall(X0)) <=> humble(john) [input p9]
15. ? [X0] : humble(X0) => ~humble(john) [input p14]
21. ~strong(lucy) [input hypothesis]
30. ~humble(john) | ! [X0] : ~humble(X0) [ennf tran... | 0 |
Everyone who is kind or not generous is not kind or not old and vice versa.
If someone is not creative then fred is not curious.
If paul is rich or not creative then someone is either not tall or not creative.
If alice is not strong or not humble then alice is rich or not curious.
If someone is wise or generous then jo... | Susan is rich. | entailment | (![X]:((kind(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:(~creative(X)))=>(~curious(fred)))&
(((rich(paul)|~creative(paul)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(((~strong(alice)|~humble(alice)))=>((rich(alice)|~curious(alice))))&
((?[X]:((wise(X)|generous(X))))<=>((~humble(john)<~>rich(john))))&
(![X]:((creative... | rich(susan) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p8",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3066165977499452971912770
% SZS output start Proof for 3066165977499452971912770
1. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~old(X0) | ~kind(X0))) [input p0]
2. ? [X0] : ~creative(X0) => ~curious(fred) [input p1]
6. ! [X0] : ((~wise(X0) | creative(X0)) <=> rich(X0)) [input p5]
7. ! [X0]... | 0 |
Everyone who is either not wise or not brave is not old or not brave and vice versa. If someone is either generous or curious then someone is strong or not tall. Everyone who is both calm and happy is both strong and not tall and vice versa. Everyone who is rich is both wise and kind and vice versa. Everyone who is not... | Paul is strong. | neutral | (![X]:((~wise(X)<~>~brave(X))<=>(~old(X)|~brave(X))))&
((?[X]:((generous(X)<~>curious(X))))=>(?[X]:((strong(X)|~tall(X)))))&
(![X]:((calm(X)&happy(X))<=>(strong(X)&~tall(X))))&
(![X]:(rich(X)<=>(wise(X)&kind(X))))&
(![X]:((~creative(X)|~humble(X))<=>funny(X)))&
(![X]:((curious(X)<~>kind(X))<=>brave(X)))&
(![X]:((wise(X... | strong(paul) | [] | null | 0 |
Everyone who is not patient is not humble and vice versa.
Everyone who is brave is either not happy or happy and vice versa.
If susan is not funny or not kind then someone is not tall.
Everyone who is not creative is not rich.
Everyone who is either not funny or humble is curious or not happy.
If fred is calm or brave ... | Susan is curious. | neutral | (![X]:(~patient(X)<=>~humble(X)))&
(![X]:(brave(X)<=>(~happy(X)<~>happy(X))))&
(((~funny(susan)|~kind(susan)))=>(?[X]:(~tall(X))))&
(![X]:(~creative(X)=>~rich(X)))&
(![X]:((~funny(X)<~>humble(X))=>(curious(X)|~happy(X))))&
(((calm(fred)|brave(fred)))=>(?[X]:(strong(X))))&
(![X]:(brave(X)<=>(~calm(X)<~>~old(X))))&
(((fu... | curious(susan) | [] | null | 0 |
If someone is both not patient and not funny then fred is not creative and vice versa.
Everyone who is either kind or brave is both patient and not strong.
If someone is both kind and rich then someone is both patient and tall.
Everyone who is either rich or funny is quiet and vice versa.
If lucy is both not old and no... | Lucy is generous. | contradiction | ((?[X]:((~patient(X)&~funny(X))))<=>(~creative(fred)))&
(![X]:((kind(X)<~>brave(X))=>(patient(X)&~strong(X))))&
((?[X]:((kind(X)&rich(X))))=>(?[X]:((patient(X)&tall(X)))))&
(![X]:((rich(X)<~>funny(X))<=>quiet(X)))&
(((~old(lucy)&~wise(lucy)))<=>((happy(susan)<~>creative(susan))))&
((?[X]:((quiet(X)<~>~humble(X))))=>(?[... | generous(lucy) | [
"p7",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 640388557906561180142731
% SZS output start Proof for 640388557906561180142731
8. ! [X0] : (curious(X0) => (creative(X0) & ~humble(X0))) [input p7]
9. ! [X0] : ((patient(X0) <~> ~generous(X0)) => (~tall(X0) & curious(X0))) [input p8]
21. patient(lucy) & humble(lucy) [input p20]
25. genero... | 0 |
Everyone who is both not rich and not generous is both not kind and wise and vice versa. If someone is happy then paul is both happy and not patient. If someone is both not patient and not curious then lucy is both not brave and quiet and vice versa. Everyone who is either wise or brave is not humble or brave and vice ... | Lucy is calm. | neutral | (![X]:((~rich(X)&~generous(X))<=>(~kind(X)&wise(X))))&
((?[X]:(happy(X)))=>((happy(paul)&~patient(paul))))&
((?[X]:((~patient(X)&~curious(X))))<=>((~brave(lucy)&quiet(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~humble(X)|brave(X))))&
(![X]:((curious(X)&humble(X))=>(~happy(X)&brave(X))))&
(![X]:((~humble(X)&~happy(X))<=>~... | calm(lucy) | [] | null | 0 |
If lucy is not old then fred is either kind or not curious and vice versa.
Everyone who is either calm or not wise is funny or not humble and vice versa.
If someone is both not quiet and strong then someone is strong.
If susan is either curious or patient then someone is humble and vice versa.
Everyone who is not rich ... | Paul is wise. | entailment | ((~old(lucy))<=>((kind(fred)<~>~curious(fred))))&
(![X]:((calm(X)<~>~wise(X))<=>(funny(X)|~humble(X))))&
((?[X]:((~quiet(X)&strong(X))))=>(?[X]:(strong(X))))&
(((curious(susan)<~>patient(susan)))<=>(?[X]:(humble(X))))&
(![X]:((~rich(X)|patient(X))<=>(humble(X)&rich(X))))&
(![X]:((wise(X)|~calm(X))=>(happy(X)&calm(X))))... | wise(paul) | [
"p4",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 675182462332977169628748
% SZS output start Proof for 675182462332977169628748
5. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (rich(X0) & humble(X0))) [input p4]
10. ! [X0] : ((humble(X0) | rich(X0)) <=> ~patient(X0)) [input p9]
12. ! [X0] : (wise(X0) <=> (~kind(X0) & ~patient(X0))) [input p1... | 0 |
Everyone who is either not wise or not strong is either not patient or not quiet.
Everyone who is brave or not patient is not humble or not generous and vice versa.
Everyone who is humble is generous or wise and vice versa.
Everyone who is both generous and funny is brave or happy.
Everyone who is either not quiet or w... | Paul is generous. | contradiction | (![X]:((~wise(X)<~>~strong(X))=>(~patient(X)<~>~quiet(X))))&
(![X]:((brave(X)|~patient(X))<=>(~humble(X)|~generous(X))))&
(![X]:(humble(X)<=>(generous(X)|wise(X))))&
(![X]:((generous(X)&funny(X))=>(brave(X)|happy(X))))&
(![X]:((~quiet(X)<~>wise(X))=>curious(X)))&
(![X]:((~creative(X)<~>~generous(X))<=>funny(X)))&
(((~r... | generous(paul) | [
"p1",
"p2",
"p5",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1434216197055916543548835
% SZS output start Proof for 1434216197055916543548835
2. ! [X0] : ((~patient(X0) | brave(X0)) <=> (~generous(X0) | ~humble(X0))) [input p1]
3. ! [X0] : (humble(X0) <=> (wise(X0) | generous(X0))) [input p2]
6. ! [X0] : ((~creative(X0) <~> ~generous(X0)) <=> funny... | 0 |
Everyone who is either kind or curious is wise or generous.
If lucy is funny or old then someone is quiet and vice versa.
If someone is brave or not patient then alice is patient or not kind.
If someone is either happy or not kind then someone is either not tall or tall and vice versa.
Everyone who is calm or not gener... | Mary is not curious. | contradiction | (![X]:((kind(X)<~>curious(X))=>(wise(X)|generous(X))))&
(((funny(lucy)|old(lucy)))<=>(?[X]:(quiet(X))))&
((?[X]:((brave(X)|~patient(X))))=>((patient(alice)|~kind(alice))))&
((?[X]:((happy(X)<~>~kind(X))))<=>(?[X]:((~tall(X)<~>tall(X)))))&
(![X]:((calm(X)|~generous(X))=>(curious(X)|~funny(X))))&
(![X]:((~rich(X)&funny(X... | ~curious(mary) | [
"p4",
"p6",
"p9",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2099270377850453403660425
% SZS output start Proof for 2099270377850453403660425
5. ! [X0] : ((~generous(X0) | calm(X0)) => (~funny(X0) | curious(X0))) [input p4]
7. ? [X0] : (~tall(X0) & tall(X0)) <=> ? [X0] : (~rich(X0) | old(X0)) [input p6]
10. ! [X0] : (~wise(X0) => (~calm(X0) <~> fun... | 0 |
Everyone who is either not generous or not brave is both not calm and not curious and vice versa.
If someone is humble then alice is not humble or generous and vice versa.
If paul is either not creative or curious then alice is both not old and not brave.
Everyone who is kind is both not humble and not funny.
Everyone ... | Lucy is not curious. | neutral | (![X]:((~generous(X)<~>~brave(X))<=>(~calm(X)&~curious(X))))&
((?[X]:(humble(X)))<=>((~humble(alice)|generous(alice))))&
(((~creative(paul)<~>curious(paul)))=>((~old(alice)&~brave(alice))))&
(![X]:(kind(X)=>(~humble(X)&~funny(X))))&
(![X]:(generous(X)<=>(strong(X)|wise(X))))&
(![X]:((calm(X)|happy(X))=>(creative(X)<~>~... | ~curious(lucy) | [] | null | 0 |
Everyone who is not patient or not creative is curious or funny. Everyone who is not tall is either not wise or calm. If someone is funny then someone is either not generous or not calm. Everyone who is both calm and tall is not generous. Everyone who is not brave is both not funny and not calm. If someone is both not ... | Alice is humble. | contradiction | (![X]:((~patient(X)|~creative(X))=>(curious(X)|funny(X))))&
(![X]:(~tall(X)=>(~wise(X)<~>calm(X))))&
((?[X]:(funny(X)))=>(?[X]:((~generous(X)<~>~calm(X)))))&
(![X]:((calm(X)&tall(X))=>~generous(X)))&
(![X]:(~brave(X)=>(~funny(X)&~calm(X))))&
((?[X]:((~generous(X)&humble(X))))<=>((quiet(john)&generous(john))))&
(![X]:((... | humble(alice) | [
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 760096732060725611919362
% SZS output start Proof for 760096732060725611919362
5. ! [X0] : (~brave(X0) => (~calm(X0) & ~funny(X0))) [input p4]
7. ! [X0] : ((funny(X0) & happy(X0)) <=> ~brave(X0)) [input p6]
16. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> (~curious(X0) | humble(X0))) [input ... | 0 |
Everyone who is both not tall and not calm is kind.
If fred is not generous then mary is both not happy and creative and vice versa.
If alice is either not tall or funny then someone is either not funny or not patient.
If someone is either not patient or strong then someone is old or not generous.
Everyone who is not w... | Paul is creative. | contradiction | (![X]:((~tall(X)&~calm(X))=>kind(X)))&
((~generous(fred))<=>((~happy(mary)&creative(mary))))&
(((~tall(alice)<~>funny(alice)))=>(?[X]:((~funny(X)<~>~patient(X)))))&
((?[X]:((~patient(X)<~>strong(X))))=>(?[X]:((old(X)|~generous(X)))))&
(![X]:((~wise(X)|brave(X))=>(~tall(X)|humble(X))))&
(![X]:((~tall(X)|humble(X))=>funn... | creative(paul) | [
"p5",
"p7",
"p8",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8846052030205860679705242
% SZS output start Proof for 8846052030205860679705242
6. ! [X0] : ((humble(X0) | ~tall(X0)) => funny(X0)) [input p5]
8. ! [X0] : (patient(X0) => (~patient(X0) <~> old(X0))) [input p7]
9. ! [X0] : ((~old(X0) & kind(X0)) <=> (generous(X0) | tall(X0))) [input p8]
1... | 0 |
If fred is both not old and humble then mary is either happy or not patient and vice versa.
If someone is not quiet or strong then someone is old or not generous and vice versa.
If someone is both not humble and not quiet then someone is brave or patient.
If someone is not brave then someone is either humble or rich.
I... | Mary is not brave. | contradiction | (((~old(fred)&humble(fred)))<=>((happy(mary)<~>~patient(mary))))&
((?[X]:((~quiet(X)|strong(X))))<=>(?[X]:((old(X)|~generous(X)))))&
((?[X]:((~humble(X)&~quiet(X))))=>(?[X]:((brave(X)|patient(X)))))&
((?[X]:(~brave(X)))=>(?[X]:((humble(X)<~>rich(X)))))&
(((~creative(susan)<~>~old(susan)))<=>(?[X]:((rich(X)&~patient(X))... | ~brave(mary) | [
"p3",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2043927019298991501103325
% SZS output start Proof for 2043927019298991501103325
4. ? [X0] : ~brave(X0) => ? [X0] : (humble(X0) <~> rich(X0)) [input p3]
6. ! [X0] : ((~happy(X0) | humble(X0)) <=> (old(X0) | happy(X0))) [input p5]
7. ! [X0] : (old(X0) <=> (creative(X0) & ~rich(X0))) [input... | 0 |
If paul is kind or not creative then fred is either not kind or not generous and vice versa.
Everyone who is not old is patient.
Everyone who is both generous and patient is strong or not quiet and vice versa.
If someone is both humble and patient then someone is both not patient and not brave and vice versa.
If john i... | Mary is not happy. | entailment | (((kind(paul)|~creative(paul)))<=>((~kind(fred)<~>~generous(fred))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:((generous(X)&patient(X))<=>(strong(X)|~quiet(X))))&
((?[X]:((humble(X)&patient(X))))<=>(?[X]:((~patient(X)&~brave(X)))))&
(((tall(john)&rich(john)))=>(?[X]:(creative(X))))&
((~humble(susan))=>(?[X]:((~humble(X)&~w... | ~happy(mary) | [
"p2",
"p3",
"p6",
"p7",
"p9",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3946579633806177990894128
% SZS output start Proof for 3946579633806177990894128
3. ! [X0] : ((patient(X0) & generous(X0)) <=> (~quiet(X0) | strong(X0))) [input p2]
4. ? [X0] : (patient(X0) & humble(X0)) <=> ? [X0] : (~brave(X0) & ~patient(X0)) [input p3]
7. ! [X0] : ((generous(X0) | stro... | 0 |
If someone is not strong or wise then someone is not old or not kind and vice versa. Everyone who is either generous or funny is humble or not curious. Everyone who is not curious or creative is patient or not generous and vice versa. If susan is not tall then paul is both happy and not funny. If someone is generous th... | Paul is brave. | contradiction | ((?[X]:((~strong(X)|wise(X))))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((generous(X)<~>funny(X))=>(humble(X)|~curious(X))))&
(![X]:((~curious(X)|creative(X))<=>(patient(X)|~generous(X))))&
((~tall(susan))=>((happy(paul)&~funny(paul))))&
((?[X]:(generous(X)))<=>(creative(alice)))&
(![X]:((~curious(X)<~>rich(X))<=>(tall(X)... | brave(paul) | [
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 931397273958746724278261
% SZS output start Proof for 931397273958746724278261
9. (~brave(paul) | calm(paul)) <=> wise(paul) [input p8]
10. ! [X0] : (wise(X0) <=> (calm(X0) <~> happy(X0))) [input p9]
16. ! [X0] : (brave(X0) => (happy(X0) & ~strong(X0))) [input p15]
25. brave(paul) [input ... | 0 |
Everyone who is not brave or not funny is both not patient and quiet and vice versa. If lucy is both not strong and not brave then someone is funny or calm and vice versa. Everyone who is rich or creative is humble and vice versa. If susan is both not brave and patient then mary is not humble or not calm. If someone is... | Paul is quiet. | entailment | (![X]:((~brave(X)|~funny(X))<=>(~patient(X)&quiet(X))))&
(((~strong(lucy)&~brave(lucy)))<=>(?[X]:((funny(X)|calm(X)))))&
(![X]:((rich(X)|creative(X))<=>humble(X)))&
(((~brave(susan)&patient(susan)))=>((~humble(mary)|~calm(mary))))&
((?[X]:((~quiet(X)&old(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(brave(X)=>~funny(X)))&
(((hap... | quiet(paul) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4682335626260311829277234
% SZS output start Proof for 4682335626260311829277234
1. ! [X0] : ((~funny(X0) | ~brave(X0)) <=> (quiet(X0) & ~patient(X0))) [input p0]
6. ! [X0] : (brave(X0) => ~funny(X0)) [input p5]
25. ~quiet(paul) [input hypothesis]
30. ! [X0] : (~funny(X0) | ~brave(X0)) [e... | 0 |
If someone is rich then mary is patient and vice versa.
Everyone who is either calm or not calm is both not funny and curious and vice versa.
Everyone who is both generous and patient is either not strong or not humble and vice versa.
Everyone who is either not quiet or not generous is both kind and tall.
Everyone who ... | Lucy is not strong. | neutral | ((?[X]:(rich(X)))<=>(patient(mary)))&
(![X]:((calm(X)<~>~calm(X))<=>(~funny(X)&curious(X))))&
(![X]:((generous(X)&patient(X))<=>(~strong(X)<~>~humble(X))))&
(![X]:((~quiet(X)<~>~generous(X))=>(kind(X)&tall(X))))&
(![X]:((~quiet(X)<~>strong(X))=>(kind(X)&~kind(X))))&
(((~humble(paul)<~>~funny(paul)))<=>(?[X]:((calm(X)|~... | ~strong(lucy) | [] | null | 0 |
If lucy is not creative then susan is not calm or not creative. Everyone who is either not funny or strong is either generous or not creative. Everyone who is both not creative and not patient is not calm and vice versa. If mary is either old or tall then alice is rich and vice versa. If lucy is not strong then someone... | Lucy is funny. | contradiction | ((~creative(lucy))=>((~calm(susan)|~creative(susan))))&
(![X]:((~funny(X)<~>strong(X))=>(generous(X)<~>~creative(X))))&
(![X]:((~creative(X)&~patient(X))<=>~calm(X)))&
(((old(mary)<~>tall(mary)))<=>(rich(alice)))&
((~strong(lucy))=>(?[X]:((rich(X)&happy(X)))))&
((?[X]:((funny(X)&~strong(X))))=>((~creative(alice)|~stron... | funny(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 651601886675568227230711
% SZS output start Proof for 651601886675568227230711
20. ~kind(lucy) & ~funny(lucy) [input p19]
25. funny(lucy) [input hypothesis]
30. ~funny(lucy) [pure predicate removal 20]
124. ~funny(lucy) [cnf transformation 30]
132. funny(lucy) [cnf transformation 25]
320.... | 0 |
If lucy is either not curious or happy then john is not patient and vice versa. If someone is not strong or funny then fred is not old or humble and vice versa. If someone is both not tall and not quiet then someone is either calm or not wise and vice versa. If someone is both not rich and generous then someone is happ... | Alice is patient. | neutral | (((~curious(lucy)<~>happy(lucy)))<=>(~patient(john)))&
((?[X]:((~strong(X)|funny(X))))<=>((~old(fred)|humble(fred))))&
((?[X]:((~tall(X)&~quiet(X))))<=>(?[X]:((calm(X)<~>~wise(X)))))&
((?[X]:((~rich(X)&generous(X))))<=>(?[X]:((happy(X)|old(X)))))&
((?[X]:(~old(X)))<=>((~kind(alice)|quiet(alice))))&
(![X]:(funny(X)=>(hu... | patient(alice) | [] | null | 0 |
If someone is both not humble and kind then fred is rich or not kind and vice versa.
If someone is not curious then fred is kind and vice versa.
Everyone who is tall or curious is not brave and vice versa.
Everyone who is not quiet or not strong is not curious or not funny and vice versa.
If lucy is either not old or r... | Fred is not wise. | contradiction | ((?[X]:((~humble(X)&kind(X))))<=>((rich(fred)|~kind(fred))))&
((?[X]:(~curious(X)))<=>(kind(fred)))&
(![X]:((tall(X)|curious(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~strong(X))<=>(~curious(X)|~funny(X))))&
(((~old(lucy)<~>rich(lucy)))=>(?[X]:((~strong(X)&~rich(X)))))&
(((~creative(lucy)|~tall(lucy)))<=>(?[X]:((rich(X)<~>w... | ~wise(fred) | [
"p1",
"p2",
"p8",
"p9",
"p15",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6944713115088122576262038
% SZS output start Proof for 6944713115088122576262038
2. ? [X0] : ~curious(X0) <=> kind(fred) [input p1]
3. ! [X0] : ((curious(X0) | tall(X0)) <=> ~brave(X0)) [input p2]
9. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> (creative(X0) <~> kind(X0))) [input p8]
10. ! [... | 0 |
Everyone who is either wise or not calm is not tall or wise.
Everyone who is not rich or kind is not calm.
If john is happy then someone is wise and vice versa.
Everyone who is strong or calm is either wise or not humble and vice versa.
If someone is happy or not rich then someone is either not wise or not happy.
Every... | John is happy. | entailment | (![X]:((wise(X)<~>~calm(X))=>(~tall(X)|wise(X))))&
(![X]:((~rich(X)|kind(X))=>~calm(X)))&
((happy(john))<=>(?[X]:(wise(X))))&
(![X]:((strong(X)|calm(X))<=>(wise(X)<~>~humble(X))))&
((?[X]:((happy(X)|~rich(X))))=>(?[X]:((~wise(X)<~>~happy(X)))))&
(![X]:((creative(X)<~>~generous(X))=>(~funny(X)&generous(X))))&
(![X]:((~t... | happy(john) | [
"p0",
"p1",
"p2",
"p6",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6739978045098044219446247
% SZS output start Proof for 6739978045098044219446247
1. ! [X0] : ((wise(X0) <~> ~calm(X0)) => (wise(X0) | ~tall(X0))) [input p0]
2. ! [X0] : ((kind(X0) | ~rich(X0)) => ~calm(X0)) [input p1]
3. happy(john) <=> ? [X0] : wise(X0) [input p2]
7. ! [X0] : ((~patient(... | 0 |
Everyone who is either not patient or not funny is both kind and old. Everyone who is either not creative or quiet is either quiet or not patient and vice versa. Everyone who is both old and not generous is not strong and vice versa. If mary is both not brave and creative then mary is not kind or not happy. If alice is... | Susan is not funny. | contradiction | (![X]:((~patient(X)<~>~funny(X))=>(kind(X)&old(X))))&
(![X]:((~creative(X)<~>quiet(X))<=>(quiet(X)<~>~patient(X))))&
(![X]:((old(X)&~generous(X))<=>~strong(X)))&
(((~brave(mary)&creative(mary)))=>((~kind(mary)|~happy(mary))))&
(((curious(alice)&funny(alice)))=>((generous(susan)&~humble(susan))))&
(![X]:((curious(X)&~qu... | ~funny(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1666173390667003234687194
% SZS output start Proof for 1666173390667003234687194
17. patient(susan) & funny(susan) [input p16]
25. ~funny(susan) [input hypothesis]
118. funny(susan) [cnf transformation 17]
130. ~funny(susan) [cnf transformation 25]
202. 14 <=> funny(susan) [avatar definit... | 0 |
If someone is happy then john is either funny or wise and vice versa.
Everyone who is tall or not generous is kind and vice versa.
If paul is brave or not old then someone is not curious or not creative.
Everyone who is not kind is either not kind or not old.
Everyone who is both not quiet and humble is both patient an... | Paul is not strong. | contradiction | ((?[X]:(happy(X)))<=>((funny(john)<~>wise(john))))&
(![X]:((tall(X)|~generous(X))<=>kind(X)))&
(((brave(paul)|~old(paul)))=>(?[X]:((~curious(X)|~creative(X)))))&
(![X]:(~kind(X)=>(~kind(X)<~>~old(X))))&
(![X]:((~quiet(X)&humble(X))<=>(patient(X)&~patient(X))))&
(![X]:(~strong(X)<=>(generous(X)&~calm(X))))&
(![X]:((pati... | ~strong(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 808665911669768791661320
% SZS output start Proof for 808665911669768791661320
7. ! [X0] : ((~patient(X0) | patient(X0)) => strong(X0)) [input p6]
25. ~strong(paul) [input hypothesis]
30. ! [X0] : (strong(X0) | (patient(X0) & ~patient(X0))) [ennf transformation 7]
96. strong(X0) | ~patien... | 0 |
If paul is both brave and not creative then someone is both not rich and not humble. Everyone who is funny or kind is not calm. Everyone who is either kind or not rich is not patient or tall and vice versa. If someone is happy or quiet then fred is generous or not quiet. Everyone who is either patient or not happy is e... | Paul is calm. | neutral | (((brave(paul)&~creative(paul)))=>(?[X]:((~rich(X)&~humble(X)))))&
(![X]:((funny(X)|kind(X))=>~calm(X)))&
(![X]:((kind(X)<~>~rich(X))<=>(~patient(X)|tall(X))))&
((?[X]:((happy(X)|quiet(X))))=>((generous(fred)|~quiet(fred))))&
(![X]:((patient(X)<~>~happy(X))=>(~old(X)<~>patient(X))))&
((?[X]:(~old(X)))<=>(?[X]:((brave(X... | calm(paul) | [] | null | 0 |
If someone is either not brave or not rich then mary is quiet or not old and vice versa. Everyone who is both not patient and quiet is not happy. Everyone who is old or kind is old and vice versa. If susan is either generous or not quiet then lucy is not rich. Everyone who is wise is creative or happy and vice versa. E... | Lucy is not curious. | neutral | ((?[X]:((~brave(X)<~>~rich(X))))<=>((quiet(mary)|~old(mary))))&
(![X]:((~patient(X)&quiet(X))=>~happy(X)))&
(![X]:((old(X)|kind(X))<=>old(X)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~creative(paul)... | ~curious(lucy) | [] | null | 0 |
If paul is either quiet or curious then alice is rich and vice versa.
Everyone who is creative or funny is either not funny or kind.
If someone is either not humble or quiet then someone is both not brave and generous.
If john is not creative or quiet then someone is not strong.
Everyone who is both not patient and not... | Lucy is not calm. | entailment | (((quiet(paul)<~>curious(paul)))<=>(rich(alice)))&
(![X]:((creative(X)|funny(X))=>(~funny(X)<~>kind(X))))&
((?[X]:((~humble(X)<~>quiet(X))))=>(?[X]:((~brave(X)&generous(X)))))&
(((~creative(john)|quiet(john)))=>(?[X]:(~strong(X))))&
(![X]:((~patient(X)&~curious(X))<=>(old(X)&~brave(X))))&
(![X]:((~strong(X)<~>curious(X... | ~calm(lucy) | [
"p1",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1015308632846082602538729
% SZS output start Proof for 1015308632846082602538729
2. ! [X0] : ((funny(X0) | creative(X0)) => (~funny(X0) <~> kind(X0))) [input p1]
15. ! [X0] : ((calm(X0) <~> ~kind(X0)) => (strong(X0) & ~curious(X0))) [input p14]
17. funny(lucy) | kind(lucy) [input p16]
22.... | 0 |
Everyone who is either tall or not rich is either strong or not funny and vice versa. Everyone who is either not tall or kind is either humble or wise and vice versa. If alice is both generous and not kind then someone is either quiet or rich. Everyone who is wise or not old is either tall or not curious. Everyone who ... | Lucy is not tall. | contradiction | (![X]:((tall(X)<~>~rich(X))<=>(strong(X)<~>~funny(X))))&
(![X]:((~tall(X)<~>kind(X))<=>(humble(X)<~>wise(X))))&
(((generous(alice)&~kind(alice)))=>(?[X]:((quiet(X)<~>rich(X)))))&
(![X]:((wise(X)|~old(X))=>(tall(X)<~>~curious(X))))&
(![X]:((~brave(X)&~humble(X))<=>(~wise(X)&~tall(X))))&
(((happy(fred)<~>brave(fred)))<=>... | ~tall(lucy) | [
"p1",
"p4",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 498756572319418452123530
% SZS output start Proof for 498756572319418452123530
2. ! [X0] : ((~tall(X0) <~> kind(X0)) <=> (humble(X0) <~> wise(X0))) [input p1]
5. ! [X0] : ((~humble(X0) & ~brave(X0)) <=> (~tall(X0) & ~wise(X0))) [input p4]
10. ! [X0] : (~humble(X0) <=> (~brave(X0) | ~curio... | 0 |
Everyone who is either not humble or not rich is either not rich or not strong and vice versa. Everyone who is not rich is not calm or strong and vice versa. If someone is not old or strong then someone is either kind or not quiet. Everyone who is creative is not tall. Everyone who is both not calm and not kind is crea... | Fred is not curious. | contradiction | (![X]:((~humble(X)<~>~rich(X))<=>(~rich(X)<~>~strong(X))))&
(![X]:(~rich(X)<=>(~calm(X)|strong(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:(creative(X)=>~tall(X)))&
(![X]:((~calm(X)&~kind(X))<=>creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(kind(X)<~>~humble(X))))&
((?[X]:((humble(X)<... | ~curious(fred) | [
"p0",
"p1",
"p3",
"p9",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 47263372136549528624833
% SZS output start Proof for 47263372136549528624833
1. ! [X0] : ((~humble(X0) <~> ~rich(X0)) <=> (~rich(X0) <~> ~strong(X0))) [input p0]
2. ! [X0] : (~rich(X0) <=> (strong(X0) | ~calm(X0))) [input p1]
4. ! [X0] : (creative(X0) => ~tall(X0)) [input p3]
10. ! [X0] :... | 0 |
Everyone who is either humble or not humble is not calm and vice versa. If alice is humble then someone is not creative or patient. Everyone who is not generous or humble is both not funny and tall and vice versa. Everyone who is curious or happy is both curious and not happy. If mary is either humble or kind then some... | Lucy is humble. | contradiction | (![X]:((humble(X)<~>~humble(X))<=>~calm(X)))&
((humble(alice))=>(?[X]:((~creative(X)|patient(X)))))&
(![X]:((~generous(X)|humble(X))<=>(~funny(X)&tall(X))))&
(![X]:((curious(X)|happy(X))=>(curious(X)&~happy(X))))&
(((humble(mary)<~>kind(mary)))<=>(?[X]:((~rich(X)<~>quiet(X)))))&
((?[X]:((~happy(X)<~>quiet(X))))<=>((~st... | humble(lucy) | [
"p0",
"p2",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 830807912004867589377084
% SZS output start Proof for 830807912004867589377084
1. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> ~calm(X0)) [input p0]
3. ! [X0] : ((humble(X0) | ~generous(X0)) <=> (tall(X0) & ~funny(X0))) [input p2]
16. ? [X0] : old(X0) <=> (tall(lucy) <~> humble(lucy)) [inpu... | 0 |
If mary is calm or creative then someone is not quiet.
If mary is curious or not humble then someone is happy and vice versa.
If lucy is both not generous and patient then someone is both not creative and not calm and vice versa.
If alice is both quiet and calm then someone is not rich.
If someone is old or not humble ... | Lucy is rich. | neutral | (((calm(mary)|creative(mary)))=>(?[X]:(~quiet(X))))&
(((curious(mary)|~humble(mary)))<=>(?[X]:(happy(X))))&
(((~generous(lucy)&patient(lucy)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(((quiet(alice)&calm(alice)))=>(?[X]:(~rich(X))))&
((?[X]:((old(X)|~humble(X))))<=>((brave(lucy)|rich(lucy))))&
(![X]:(kind(X)=>(generous(X)... | rich(lucy) | [] | null | 0 |
Everyone who is quiet or curious is brave or strong and vice versa. Everyone who is strong is either not rich or rich and vice versa. Everyone who is not happy or rich is either old or rich and vice versa. Everyone who is rich is not generous. If susan is not strong then lucy is either not rich or not wise. If someone ... | Paul is not generous. | entailment | (![X]:((quiet(X)|curious(X))<=>(brave(X)|strong(X))))&
(![X]:(strong(X)<=>(~rich(X)<~>rich(X))))&
(![X]:((~happy(X)|rich(X))<=>(old(X)<~>rich(X))))&
(![X]:(rich(X)=>~generous(X)))&
((~strong(susan))=>((~rich(lucy)<~>~wise(lucy))))&
((?[X]:(wise(X)))<=>((~patient(john)&~calm(john))))&
((?[X]:((curious(X)&~curious(X))))<... | ~generous(paul) | [
"p3",
"p6",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5089091297303193074916094
% SZS output start Proof for 5089091297303193074916094
4. ! [X0] : (rich(X0) => ~generous(X0)) [input p3]
7. ? [X0] : (~curious(X0) & curious(X0)) <=> ~rich(lucy) [input p6]
11. ? [X0] : patient(X0) <=> (tall(paul) <~> generous(paul)) [input p10]
15. ! [X0] : ((p... | 0 |
Everyone who is both tall and creative is rich or not old and vice versa. If someone is not humble then alice is not curious. Everyone who is old or not calm is humble and vice versa. If someone is either tall or patient then alice is strong and vice versa. If someone is not strong or not funny then lucy is happy. If s... | Alice is patient. | entailment | (![X]:((tall(X)&creative(X))<=>(rich(X)|~old(X))))&
((?[X]:(~humble(X)))=>(~curious(alice)))&
(![X]:((old(X)|~calm(X))<=>humble(X)))&
((?[X]:((tall(X)<~>patient(X))))<=>(strong(alice)))&
((?[X]:((~strong(X)|~funny(X))))=>(happy(lucy)))&
((?[X]:(~calm(X)))<=>(?[X]:((~kind(X)&~funny(X)))))&
((~brave(fred))<=>(?[X]:((~pat... | patient(alice) | [
"p0",
"p2",
"p3",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5601473316632749186539
% SZS output start Proof for 5601473316632749186539
1. ! [X0] : ((creative(X0) & tall(X0)) <=> (~old(X0) | rich(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | old(X0)) <=> humble(X0)) [input p2]
4. ? [X0] : (tall(X0) <~> patient(X0)) <=> strong(alice) [input p3]
14. ! [... | 0 |
If lucy is rich or humble then someone is both not wise and happy. If someone is calm then someone is both generous and funny. If someone is wise then fred is either creative or not rich. Everyone who is both not strong and curious is not humble and vice versa. If lucy is patient or creative then someone is both kind a... | Mary is calm. | contradiction | (((rich(lucy)|humble(lucy)))=>(?[X]:((~wise(X)&happy(X)))))&
((?[X]:(calm(X)))=>(?[X]:((generous(X)&funny(X)))))&
((?[X]:(wise(X)))=>((creative(fred)<~>~rich(fred))))&
(![X]:((~strong(X)&curious(X))<=>~humble(X)))&
(((patient(lucy)|creative(lucy)))=>(?[X]:((kind(X)&creative(X)))))&
(![X]:(~patient(X)<=>(wise(X)|strong(... | calm(mary) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 203025114313743099380583
% SZS output start Proof for 203025114313743099380583
4. ! [X0] : ((curious(X0) & ~strong(X0)) <=> ~humble(X0)) [input p3]
14. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (calm(X0) | ~generous(X0))) [input p13]
25. calm(mary) [input hypothesis]
44. ! [X0] : (((curi... | 0 |
Everyone who is not funny is both calm and funny and vice versa.
If someone is either not patient or quiet then susan is curious and vice versa.
If fred is strong then susan is not curious or not humble and vice versa.
Everyone who is either not happy or curious is calm and vice versa.
Everyone who is not strong or not... | John is not quiet. | contradiction | (![X]:(~funny(X)<=>(calm(X)&funny(X))))&
((?[X]:((~patient(X)<~>quiet(X))))<=>(curious(susan)))&
((strong(fred))<=>((~curious(susan)|~humble(susan))))&
(![X]:((~happy(X)<~>curious(X))<=>calm(X)))&
(![X]:((~strong(X)|~quiet(X))=>(~brave(X)|~kind(X))))&
(![X]:((~rich(X)&old(X))=>(patient(X)<~>happy(X))))&
(![X]:((old(X)|... | ~quiet(john) | [
"p0",
"p1",
"p3",
"p6",
"p7",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5001219827046494098411786
% SZS output start Proof for 5001219827046494098411786
1. ! [X0] : (~funny(X0) <=> (funny(X0) & calm(X0))) [input p0]
2. ? [X0] : (~patient(X0) <~> quiet(X0)) <=> curious(susan) [input p1]
4. ! [X0] : ((~happy(X0) <~> curious(X0)) <=> calm(X0)) [input p3]
7. ! [X... | 0 |
If john is not curious then susan is both not calm and not rich and vice versa. Everyone who is funny or wise is not old or strong and vice versa. If alice is not quiet then someone is humble and vice versa. If someone is not curious then alice is both wise and not kind and vice versa. If paul is either not humble or q... | Mary is wise. | neutral | ((~curious(john))<=>((~calm(susan)&~rich(susan))))&
(![X]:((funny(X)|wise(X))<=>(~old(X)|strong(X))))&
((~quiet(alice))<=>(?[X]:(humble(X))))&
((?[X]:(~curious(X)))<=>((wise(alice)&~kind(alice))))&
(((~humble(paul)<~>quiet(paul)))<=>((~wise(mary)<~>tall(mary))))&
(((~rich(mary)<~>~creative(mary)))=>((kind(fred)<~>~crea... | wise(mary) | [] | null | 0 |
If mary is generous or not brave then susan is not rich or not curious.
Everyone who is either rich or not kind is patient.
If someone is both humble and not generous then mary is strong and vice versa.
If lucy is not strong then someone is not happy or not wise.
Everyone who is both rich and not generous is either tal... | Susan is not creative. | neutral | (((generous(mary)|~brave(mary)))=>((~rich(susan)|~curious(susan))))&
(![X]:((rich(X)<~>~kind(X))=>patient(X)))&
((?[X]:((humble(X)&~generous(X))))<=>(strong(mary)))&
((~strong(lucy))=>(?[X]:((~happy(X)|~wise(X)))))&
(![X]:((rich(X)&~generous(X))<=>(tall(X)<~>~strong(X))))&
(![X]:((~old(X)&~rich(X))=>(~happy(X)|~strong(... | ~creative(susan) | [] | null | 0 |
Everyone who is curious is either not calm or humble and vice versa. If someone is either not curious or not wise then someone is either not calm or not creative and vice versa. If alice is happy then john is either not old or generous. If someone is rich or not funny then john is generous or not creative and vice vers... | Alice is humble. | entailment | (![X]:(curious(X)<=>(~calm(X)<~>humble(X))))&
((?[X]:((~curious(X)<~>~wise(X))))<=>(?[X]:((~calm(X)<~>~creative(X)))))&
((happy(alice))=>((~old(john)<~>generous(john))))&
((?[X]:((rich(X)|~funny(X))))<=>((generous(john)|~creative(john))))&
(![X]:(~tall(X)<=>(curious(X)&old(X))))&
((?[X]:((~calm(X)|~tall(X))))<=>((tall(... | humble(alice) | [
"p4",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5263481472854675001208455
% SZS output start Proof for 5263481472854675001208455
5. ! [X0] : (~tall(X0) <=> (old(X0) & curious(X0))) [input p4]
13. ? [X0] : (kind(X0) | ~curious(X0)) => (~happy(alice) & humble(alice)) [input p12]
21. ? [X0] : (old(X0) <~> ~tall(X0)) [input p20]
24. ~humbl... | 0 |
Everyone who is not generous is not happy and vice versa.
Everyone who is both not generous and not old is old or tall.
Everyone who is either creative or calm is either not funny or curious.
If paul is not curious or not tall then someone is both not curious and not old.
Everyone who is old or not quiet is both not ha... | Paul is strong. | contradiction | (![X]:(~generous(X)<=>~happy(X)))&
(![X]:((~generous(X)&~old(X))=>(old(X)|tall(X))))&
(![X]:((creative(X)<~>calm(X))=>(~funny(X)<~>curious(X))))&
(((~curious(paul)|~tall(paul)))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((old(X)|~quiet(X))=>(~happy(X)&funny(X))))&
(![X]:(~tall(X)=>(~wise(X)<~>wise(X))))&
(![X]:((strong(X... | strong(paul) | [
"p0",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2851538686318884352134130
% SZS output start Proof for 2851538686318884352134130
1. ! [X0] : (~generous(X0) <=> ~happy(X0)) [input p0]
7. ! [X0] : ((strong(X0) <~> ~generous(X0)) => ~happy(X0)) [input p6]
22. generous(paul) [input p21]
25. strong(paul) [input hypothesis]
37. ! [X0] : (~ha... | 0 |
If someone is kind or generous then someone is both not humble and wise and vice versa.
If alice is wise then someone is old.
Everyone who is not patient or patient is both not brave and quiet and vice versa.
Everyone who is either not quiet or not brave is not happy.
If alice is either strong or happy then alice is fu... | Lucy is not humble. | entailment | ((?[X]:((kind(X)|generous(X))))<=>(?[X]:((~humble(X)&wise(X)))))&
((wise(alice))=>(?[X]:(old(X))))&
(![X]:((~patient(X)|patient(X))<=>(~brave(X)&quiet(X))))&
(![X]:((~quiet(X)<~>~brave(X))=>~happy(X)))&
(((strong(alice)<~>happy(alice)))=>(funny(alice)))&
(![X]:((~brave(X)<~>tall(X))<=>funny(X)))&
(![X]:((old(X)|humble(... | ~humble(lucy) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7938801889150956415633484
% SZS output start Proof for 7938801889150956415633484
3. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (quiet(X0) & ~brave(X0))) [input p2]
12. ! [X0] : ((~quiet(X0) | humble(X0)) => brave(X0)) [input p11]
22. humble(lucy) [input hypothesis]
34. ! [X0] : (brave(X0)... | 0 |
Everyone who is both rich and not humble is not old or kind.
If lucy is rich or not strong then susan is either rich or not brave.
Everyone who is either not wise or kind is quiet or happy.
If mary is either strong or not tall then someone is both not rich and not quiet.
If alice is not old or kind then fred is either ... | Mary is wise. | neutral | (![X]:((rich(X)&~humble(X))=>(~old(X)|kind(X))))&
(((rich(lucy)|~strong(lucy)))=>((rich(susan)<~>~brave(susan))))&
(![X]:((~wise(X)<~>kind(X))=>(quiet(X)|happy(X))))&
(((strong(mary)<~>~tall(mary)))=>(?[X]:((~rich(X)&~quiet(X)))))&
(((~old(alice)|kind(alice)))<=>((~kind(fred)<~>~old(fred))))&
(![X]:((humble(X)&~old(X))... | wise(mary) | [] | null | 0 |
Everyone who is either calm or not kind is both not rich and funny.
Everyone who is both brave and kind is not brave and vice versa.
If someone is either not quiet or not humble then someone is either rich or not curious.
Everyone who is either creative or rich is either quiet or tall and vice versa.
Everyone who is bo... | Mary is not creative. | contradiction | (![X]:((calm(X)<~>~kind(X))=>(~rich(X)&funny(X))))&
(![X]:((brave(X)&kind(X))<=>~brave(X)))&
((?[X]:((~quiet(X)<~>~humble(X))))=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:((creative(X)<~>rich(X))<=>(quiet(X)<~>tall(X))))&
(![X]:((~tall(X)&generous(X))<=>~old(X)))&
((?[X]:((kind(X)&calm(X))))<=>(~wise(mary)))&
((?[X]:((~... | ~creative(mary) | [
"p1",
"p3",
"p4",
"p6",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1288080666253797686219059
% SZS output start Proof for 1288080666253797686219059
2. ! [X0] : ((kind(X0) & brave(X0)) <=> ~brave(X0)) [input p1]
4. ! [X0] : ((creative(X0) <~> rich(X0)) <=> (quiet(X0) <~> tall(X0))) [input p3]
5. ! [X0] : ((generous(X0) & ~tall(X0)) <=> ~old(X0)) [input p4... | 0 |
If alice is not brave then someone is either not curious or not tall and vice versa. Everyone who is either patient or not quiet is humble. Everyone who is either tall or not curious is both wise and not kind. Everyone who is either patient or not tall is both not humble and quiet and vice versa. If someone is tall the... | Alice is not funny. | entailment | ((~brave(alice))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
(![X]:((patient(X)<~>~quiet(X))=>humble(X)))&
(![X]:((tall(X)<~>~curious(X))=>(wise(X)&~kind(X))))&
(![X]:((patient(X)<~>~tall(X))<=>(~humble(X)&quiet(X))))&
((?[X]:(tall(X)))=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((~brave(X)|~humble(X))=>tall(X)))&
(![X]:((~... | ~funny(alice) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p11",
"p13",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3591072120518186202623954
% SZS output start Proof for 3591072120518186202623954
1. ~brave(alice) <=> ? [X0] : (~curious(X0) <~> ~tall(X0)) [input p0]
2. ! [X0] : ((patient(X0) <~> ~quiet(X0)) => humble(X0)) [input p1]
3. ! [X0] : ((tall(X0) <~> ~curious(X0)) => (~kind(X0) & wise(X0))) [i... | 0 |
If someone is both patient and not old then someone is not funny.
If someone is both not generous and not creative then mary is both funny and not wise and vice versa.
Everyone who is funny is either old or not calm and vice versa.
If someone is both calm and rich then fred is either not kind or funny and vice versa.
E... | Mary is not calm. | neutral | ((?[X]:((patient(X)&~old(X))))=>(?[X]:(~funny(X))))&
((?[X]:((~generous(X)&~creative(X))))<=>((funny(mary)&~wise(mary))))&
(![X]:(funny(X)<=>(old(X)<~>~calm(X))))&
((?[X]:((calm(X)&rich(X))))<=>((~kind(fred)<~>funny(fred))))&
(![X]:((strong(X)&~quiet(X))=>(strong(X)<~>funny(X))))&
((?[X]:(~generous(X)))=>(?[X]:((~quiet... | ~calm(mary) | [] | null | 0 |
If someone is either not happy or not humble then fred is either curious or happy.
If someone is not brave or not rich then john is either generous or wise.
If lucy is strong then someone is either not kind or not rich and vice versa.
Everyone who is either not curious or rich is not creative or not brave and vice vers... | Alice is not calm. | contradiction | ((?[X]:((~happy(X)<~>~humble(X))))=>((curious(fred)<~>happy(fred))))&
((?[X]:((~brave(X)|~rich(X))))=>((generous(john)<~>wise(john))))&
((strong(lucy))<=>(?[X]:((~kind(X)<~>~rich(X)))))&
(![X]:((~curious(X)<~>rich(X))<=>(~creative(X)|~brave(X))))&
(![X]:((~kind(X)|~patient(X))=>(rich(X)&funny(X))))&
(![X]:((brave(X)|~p... | ~calm(alice) | [
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 166387177467667195478320
% SZS output start Proof for 166387177467667195478320
5. ! [X0] : ((~patient(X0) | ~kind(X0)) => (funny(X0) & rich(X0))) [input p4]
6. ! [X0] : ((~patient(X0) | brave(X0)) => (old(X0) & ~funny(X0))) [input p5]
13. ! [X0] : (~calm(X0) <=> (~patient(X0) & kind(X0)))... | 0 |
Everyone who is either not tall or not old is both not quiet and old. If susan is humble then mary is either not calm or not kind. Everyone who is both happy and humble is both humble and not strong and vice versa. Everyone who is both not funny and happy is both not generous and patient and vice versa. If susan is bot... | Lucy is curious. | contradiction | (![X]:((~tall(X)<~>~old(X))=>(~quiet(X)&old(X))))&
((humble(susan))=>((~calm(mary)<~>~kind(mary))))&
(![X]:((happy(X)&humble(X))<=>(humble(X)&~strong(X))))&
(![X]:((~funny(X)&happy(X))<=>(~generous(X)&patient(X))))&
(((rich(susan)&~humble(susan)))=>(~generous(john)))&
(![X]:(old(X)<=>(happy(X)<~>tall(X))))&
(![X]:(~hap... | curious(lucy) | [
"p0",
"p5",
"p6",
"p12",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7639792870242964669919324
% SZS output start Proof for 7639792870242964669919324
1. ! [X0] : ((~tall(X0) <~> ~old(X0)) => (old(X0) & ~quiet(X0))) [input p0]
6. ! [X0] : (old(X0) <=> (happy(X0) <~> tall(X0))) [input p5]
7. ! [X0] : (~happy(X0) <=> (~curious(X0) & calm(X0))) [input p6]
13. ... | 0 |
Everyone who is either not kind or not brave is either happy or not wise and vice versa. If someone is both not kind and not happy then lucy is kind or not creative and vice versa. Everyone who is either wise or kind is not old or not funny. Everyone who is not creative or not happy is generous. Everyone who is either ... | Lucy is not old. | neutral | (![X]:((~kind(X)<~>~brave(X))<=>(happy(X)<~>~wise(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((kind(lucy)|~creative(lucy))))&
(![X]:((wise(X)<~>kind(X))=>(~old(X)|~funny(X))))&
(![X]:((~creative(X)|~happy(X))=>generous(X)))&
(![X]:((humble(X)<~>old(X))<=>(~curious(X)&~humble(X))))&
(![X]:((patient(X)|~generous(X))=>rich(X... | ~old(lucy) | [] | null | 0 |
If fred is either not quiet or curious then someone is either happy or not wise. Everyone who is both calm and not funny is not curious. Everyone who is rich is not happy. If someone is either patient or creative then someone is patient or curious and vice versa. Everyone who is either rich or wise is either not funny ... | Mary is not happy. | entailment | (((~quiet(fred)<~>curious(fred)))=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((calm(X)&~funny(X))=>~curious(X)))&
(![X]:(rich(X)=>~happy(X)))&
((?[X]:((patient(X)<~>creative(X))))<=>(?[X]:((patient(X)|curious(X)))))&
(![X]:((rich(X)<~>wise(X))<=>(~funny(X)<~>~brave(X))))&
(![X]:((curious(X)&brave(X))=>(~humble(X)|~generou... | ~happy(mary) | [
"p2",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3102613011833289431476263
% SZS output start Proof for 3102613011833289431476263
3. ! [X0] : (rich(X0) => ~happy(X0)) [input p2]
24. wise(mary) & rich(mary) [input p23]
25. happy(mary) [input hypothesis]
32. ! [X0] : (~happy(X0) | ~rich(X0)) [ennf transformation 3]
88. ~rich(X0) | ~happy(... | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is not humble or funny is both not curious and tall.
Everyone who is rich or curious is happy.
Everyone who is patient is either happy or creative and vice versa.
Everyone who is both not kind and not generous is either not curious or... | Fred is not quiet. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:((~humble(X)|funny(X))=>(~curious(X)&tall(X))))&
(![X]:((rich(X)|curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(happy(X)<~>creative(X))))&
(![X]:((~kind(X)&~generous(X))=>(~curious(X)<~>~wise(X))))&
(![X]:(wise(X)<=>(happy(X)|brave(X))))&
(![X]:((~generous(X)&~quie... | ~quiet(fred) | [
"p2",
"p3",
"p7",
"p8",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 342997813456658284226854
% SZS output start Proof for 342997813456658284226854
3. ! [X0] : ((curious(X0) | rich(X0)) => happy(X0)) [input p2]
4. ! [X0] : (patient(X0) <=> (happy(X0) <~> creative(X0))) [input p3]
8. ? [X0] : ~wise(X0) <=> (~funny(fred) & creative(fred)) [input p7]
9. (~cre... | 0 |
If someone is brave or humble then someone is not kind or not humble and vice versa.
Everyone who is both curious and rich is not happy or not tall.
Everyone who is creative is not funny or not quiet and vice versa.
If paul is not old or patient then fred is both tall and not creative and vice versa.
Everyone who is qu... | Fred is rich. | entailment | ((?[X]:((brave(X)|humble(X))))<=>(?[X]:((~kind(X)|~humble(X)))))&
(![X]:((curious(X)&rich(X))=>(~happy(X)|~tall(X))))&
(![X]:(creative(X)<=>(~funny(X)|~quiet(X))))&
(((~old(paul)|patient(paul)))<=>((tall(fred)&~creative(fred))))&
(![X]:(quiet(X)<=>(~rich(X)|tall(X))))&
(![X]:((kind(X)<~>curious(X))=>(wise(X)|generous(X... | rich(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5153095041657279760162600
% SZS output start Proof for 5153095041657279760162600
12. ? [X0] : (~tall(X0) & tall(X0)) <=> ? [X0] : (~rich(X0) | old(X0)) [input p11]
25. ~rich(fred) [input hypothesis]
28. ? [X0] : (~tall(X0) & tall(X0)) <=> ? [X1] : (~rich(X1) | old(X1)) [rectify 12]
64. (?... | 0 |
Everyone who is both happy and patient is both quiet and not curious and vice versa.
If alice is not happy or not humble then someone is both strong and not creative.
Everyone who is either humble or not kind is not brave or not funny and vice versa.
Everyone who is both not calm and not happy is not generous or not ri... | Lucy is kind. | neutral | (![X]:((happy(X)&patient(X))<=>(quiet(X)&~curious(X))))&
(((~happy(alice)|~humble(alice)))=>(?[X]:((strong(X)&~creative(X)))))&
(![X]:((humble(X)<~>~kind(X))<=>(~brave(X)|~funny(X))))&
(![X]:((~calm(X)&~happy(X))=>(~generous(X)|~rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>(kind(X)|funny(X))))&
(![X]:(~quiet(X)<=>calm... | kind(lucy) | [] | null | 0 |
Everyone who is both not brave and not kind is not generous or patient.
Everyone who is either curious or not rich is either tall or rich.
If mary is not generous or patient then john is not kind.
If someone is happy then alice is creative or funny.
Everyone who is either creative or not brave is not brave or not tall.... | Paul is not rich. | neutral | (![X]:((~brave(X)&~kind(X))=>(~generous(X)|patient(X))))&
(![X]:((curious(X)<~>~rich(X))=>(tall(X)<~>rich(X))))&
(((~generous(mary)|patient(mary)))=>(~kind(john)))&
((?[X]:(happy(X)))=>((creative(alice)|funny(alice))))&
(![X]:((creative(X)<~>~brave(X))=>(~brave(X)|~tall(X))))&
(((curious(mary)<~>~generous(mary)))=>((~g... | ~rich(paul) | [] | null | 0 |
If paul is strong then someone is wise and vice versa.
If alice is either not rich or not funny then someone is wise and vice versa.
Everyone who is both not generous and not funny is both wise and humble.
If someone is not rich then alice is wise and vice versa.
If someone is either rich or quiet then fred is both wis... | Fred is not kind. | neutral | ((strong(paul))<=>(?[X]:(wise(X))))&
(((~rich(alice)<~>~funny(alice)))<=>(?[X]:(wise(X))))&
(![X]:((~generous(X)&~funny(X))=>(wise(X)&humble(X))))&
((?[X]:(~rich(X)))<=>(wise(alice)))&
((?[X]:((rich(X)<~>quiet(X))))=>((wise(fred)&~patient(fred))))&
(![X]:((~old(X)<~>~wise(X))=>(old(X)<~>strong(X))))&
((?[X]:((patient(X... | ~kind(fred) | [] | null | 0 |
If someone is not kind then fred is generous and vice versa. If paul is generous then fred is both not quiet and not wise. If susan is humble or strong then mary is either rich or old and vice versa. If someone is patient or generous then mary is either not creative or curious and vice versa. Everyone who is both calm ... | Susan is not curious. | entailment | ((?[X]:(~kind(X)))<=>(generous(fred)))&
((generous(paul))=>((~quiet(fred)&~wise(fred))))&
(((humble(susan)|strong(susan)))<=>((rich(mary)<~>old(mary))))&
((?[X]:((patient(X)|generous(X))))<=>((~creative(mary)<~>curious(mary))))&
(![X]:((calm(X)&~brave(X))<=>(quiet(X)<~>~brave(X))))&
((~old(alice))=>(?[X]:((tall(X)&old(... | ~curious(susan) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 932785879087237925233202
% SZS output start Proof for 932785879087237925233202
7. (~creative(paul) & funny(paul)) <=> ? [X0] : (curious(X0) | ~creative(X0)) [input p6]
12. ! [X0] : ((happy(X0) & ~funny(X0)) <=> funny(X0)) [input p11]
20. curious(susan) [input hypothesis]
44. ((~creative(p... | 0 |
Everyone who is both not strong and not funny is both wise and not humble.
If someone is not calm or brave then susan is not happy or not calm and vice versa.
Everyone who is either not wise or old is either creative or old and vice versa.
Everyone who is wise or generous is both not old and happy.
Everyone who is both... | Mary is not kind. | contradiction | (![X]:((~strong(X)&~funny(X))=>(wise(X)&~humble(X))))&
((?[X]:((~calm(X)|brave(X))))<=>((~happy(susan)|~calm(susan))))&
(![X]:((~wise(X)<~>old(X))<=>(creative(X)<~>old(X))))&
(![X]:((wise(X)|generous(X))=>(~old(X)&happy(X))))&
(![X]:((~curious(X)&~happy(X))=>wise(X)))&
(![X]:((funny(X)&~quiet(X))<=>(funny(X)&brave(X)))... | ~kind(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4017117079917568154640786
% SZS output start Proof for 4017117079917568154640786
19. kind(mary) [input p18]
25. ~kind(mary) [input hypothesis]
133. kind(mary) [cnf transformation 19]
142. ~kind(mary) [cnf transformation 25]
326. $false [subsumption resolution 142,133]
% SZS output end Pro... | 0 |
Everyone who is happy or old is not wise or not tall and vice versa.
Everyone who is not tall is happy or not humble.
Everyone who is either not tall or humble is either strong or not quiet.
Everyone who is both not brave and not generous is strong or rich.
Everyone who is not old is both calm and rich.
Everyone who is... | Paul is not generous. | entailment | (![X]:((happy(X)|old(X))<=>(~wise(X)|~tall(X))))&
(![X]:(~tall(X)=>(happy(X)|~humble(X))))&
(![X]:((~tall(X)<~>humble(X))=>(strong(X)<~>~quiet(X))))&
(![X]:((~brave(X)&~generous(X))=>(strong(X)|rich(X))))&
(![X]:(~old(X)=>(calm(X)&rich(X))))&
(![X]:(~tall(X)<=>(creative(X)<~>~humble(X))))&
(((~calm(paul)|~quiet(paul)))... | ~generous(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4906474000683124210121548
% SZS output start Proof for 4906474000683124210121548
18. ~generous(paul) & ~tall(paul) [input p17]
25. generous(paul) [input hypothesis]
123. ~generous(paul) [cnf transformation 18]
132. generous(paul) [cnf transformation 25]
170. 9 <=> generous(paul) [avatar d... | 0 |
If lucy is both not rich and quiet then someone is either not creative or not strong. Everyone who is curious is not kind. If someone is strong then john is either wise or not patient and vice versa. If fred is both not curious and rich then mary is either not patient or quiet. Everyone who is not quiet is either not h... | Alice is not curious. | neutral | (((~rich(lucy)&quiet(lucy)))=>(?[X]:((~creative(X)<~>~strong(X)))))&
(![X]:(curious(X)=>~kind(X)))&
((?[X]:(strong(X)))<=>((wise(john)<~>~patient(john))))&
(((~curious(fred)&rich(fred)))=>((~patient(mary)<~>quiet(mary))))&
(![X]:(~quiet(X)<=>(~humble(X)<~>~strong(X))))&
(![X]:((creative(X)&rich(X))<=>(~patient(X)<~>cre... | ~curious(alice) | [] | null | 0 |
If someone is both not wise and not calm then mary is either not creative or not tall.
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 ... | Lucy is rich. | entailment | ((?[X]:((~wise(X)&~calm(X))))=>((~creative(mary)<~>~tall(mary))))&
(![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)))... | rich(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5168383966278273123388992
% SZS output start Proof for 5168383966278273123388992
6. ? [X0] : (~calm(X0) | ~rich(X0)) <=> (old(susan) & ~old(susan)) [input p5]
23. ~rich(lucy) [input hypothesis]
45. (? [X0] : (~calm(X0) | ~rich(X0)) | (~old(susan) | old(susan))) & ((old(susan) & ~old(susan... | 0 |
Everyone who is funny is tall or not quiet and vice versa.
Everyone who is both not quiet and not kind is happy.
If john is either not calm or tall then fred is both not humble and not patient and vice versa.
If lucy is not rich then someone is not humble.
Everyone who is not brave or strong is not patient or not stron... | Susan is patient. | contradiction | (![X]:(funny(X)<=>(tall(X)|~quiet(X))))&
(![X]:((~quiet(X)&~kind(X))=>happy(X)))&
(((~calm(john)<~>tall(john)))<=>((~humble(fred)&~patient(fred))))&
((~rich(lucy))=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)|strong(X))<=>(~patient(X)|~strong(X))))&
(![X]:((~humble(X)&generous(X))<=>rich(X)))&
((?[X]:(curious(X)))<=>(?[X]:... | patient(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4900292541666750559851387
% SZS output start Proof for 4900292541666750559851387
8. ! [X0] : ((~curious(X0) | curious(X0)) => (~strong(X0) & ~patient(X0))) [input p7]
25. patient(susan) [input hypothesis]
32. ! [X0] : ((~strong(X0) & ~patient(X0)) | (curious(X0) & ~curious(X0))) [ennf tra... | 0 |
If someone is not rich then someone is either not strong or not quiet and vice versa.
Everyone who is not generous is not old.
Everyone who is either happy or quiet is not creative or not kind and vice versa.
Everyone who is either happy or old is both funny and not old and vice versa.
Everyone who is both not creative... | Lucy is old. | contradiction | ((?[X]:(~rich(X)))<=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:(~generous(X)=>~old(X)))&
(![X]:((happy(X)<~>quiet(X))<=>(~creative(X)|~kind(X))))&
(![X]:((happy(X)<~>old(X))<=>(funny(X)&~old(X))))&
(![X]:((~creative(X)&quiet(X))<=>(~strong(X)|~happy(X))))&
(((rich(fred)<~>kind(fred)))<=>(?[X]:((~patient(X)|~funny(X))))... | old(lucy) | [
"p2",
"p3",
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6242468789753641490806098
% SZS output start Proof for 6242468789753641490806098
3. ! [X0] : ((happy(X0) <~> quiet(X0)) <=> (~kind(X0) | ~creative(X0))) [input p2]
4. ! [X0] : ((happy(X0) <~> old(X0)) <=> (~old(X0) & funny(X0))) [input p3]
5. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> (~ha... | 0 |
Everyone who is not calm is both funny and not strong. If lucy is not quiet then fred is either not happy or not brave. If someone is both happy and funny then someone is both not patient and brave. Everyone who is not calm or happy is either not quiet or patient. Everyone who is curious is patient. Everyone who is ric... | John is not funny. | entailment | (![X]:(~calm(X)=>(funny(X)&~strong(X))))&
((~quiet(lucy))=>((~happy(fred)<~>~brave(fred))))&
((?[X]:((happy(X)&funny(X))))=>(?[X]:((~patient(X)&brave(X)))))&
(![X]:((~calm(X)|happy(X))=>(~quiet(X)<~>patient(X))))&
(![X]:(curious(X)=>patient(X)))&
(![X]:(rich(X)<=>(brave(X)|kind(X))))&
(![X]:((calm(X)&creative(X))=>(kin... | ~funny(john) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5149614878991073893237066
% SZS output start Proof for 5149614878991073893237066
1. ! [X0] : (~calm(X0) => (~strong(X0) & funny(X0))) [input p0]
5. ! [X0] : (curious(X0) => patient(X0)) [input p4]
6. ! [X0] : (rich(X0) <=> (kind(X0) | brave(X0))) [input p5]
7. ! [X0] : ((creative(X0) & ca... | 0 |
Everyone who is not funny or not brave is not quiet or humble.
Everyone who is curious is either tall or not generous.
If john is both not wise and wise then someone is either happy or not humble.
Everyone who is not patient is either not kind or not creative and vice versa.
If someone is both not wise and not rich the... | John is old. | neutral | (![X]:((~funny(X)|~brave(X))=>(~quiet(X)|humble(X))))&
(![X]:(curious(X)=>(tall(X)<~>~generous(X))))&
(((~wise(john)&wise(john)))=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:(~patient(X)<=>(~kind(X)<~>~creative(X))))&
((?[X]:((~wise(X)&~rich(X))))=>(~tall(john)))&
(![X]:((~strong(X)<~>~quiet(X))<=>(generous(X)&~curious(X... | old(john) | [] | null | 0 |
Everyone who is either not brave or not old is funny or not happy.
If mary is either not kind or not old then someone is either not rich or not old.
If someone is kind or creative then mary is either strong or not funny and vice versa.
Everyone who is patient or humble is strong or not strong and vice versa.
Everyone w... | Paul is quiet. | contradiction | (![X]:((~brave(X)<~>~old(X))=>(funny(X)|~happy(X))))&
(((~kind(mary)<~>~old(mary)))=>(?[X]:((~rich(X)<~>~old(X)))))&
((?[X]:((kind(X)|creative(X))))<=>((strong(mary)<~>~funny(mary))))&
(![X]:((patient(X)|humble(X))<=>(strong(X)|~strong(X))))&
(![X]:((~generous(X)&wise(X))<=>(humble(X)<~>patient(X))))&
(![X]:(patient(X)... | quiet(paul) | [
"p3",
"p4",
"p5",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2635514519000153311413201
% SZS output start Proof for 2635514519000153311413201
4. ! [X0] : ((humble(X0) | patient(X0)) <=> (~strong(X0) | strong(X0))) [input p3]
5. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (humble(X0) <~> patient(X0))) [input p4]
6. ! [X0] : (patient(X0) => (funny(X0) <... | 0 |
If alice is not happy or not wise then someone is either tall or quiet and vice versa.
If lucy is not calm or not funny then someone is curious and vice versa.
If someone is both not funny and funny then someone is happy and vice versa.
Everyone who is not kind or not tall is old or creative and vice versa.
Everyone wh... | Paul is not old. | contradiction | (((~happy(alice)|~wise(alice)))<=>(?[X]:((tall(X)<~>quiet(X)))))&
(((~calm(lucy)|~funny(lucy)))<=>(?[X]:(curious(X))))&
((?[X]:((~funny(X)&funny(X))))<=>(?[X]:(happy(X))))&
(![X]:((~kind(X)|~tall(X))<=>(old(X)|creative(X))))&
(![X]:((~happy(X)<~>happy(X))<=>~generous(X)))&
(![X]:((~rich(X)|~generous(X))<=>brave(X)))&
(... | ~old(paul) | [
"p2",
"p4",
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7414026378403931631689363
% SZS output start Proof for 7414026378403931631689363
3. ? [X0] : (funny(X0) & ~funny(X0)) <=> ? [X0] : happy(X0) [input p2]
5. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> ~generous(X0)) [input p4]
6. ! [X0] : ((~generous(X0) | ~rich(X0)) <=> brave(X0)) [input p5]
... | 0 |
If someone is both not creative and humble then mary is either calm or not old and vice versa. Everyone who is either strong or old is both not creative and not curious. Everyone who is both not curious and humble is either humble or creative and vice versa. If lucy is calm then mary is not curious or curious and vice ... | Alice is old. | neutral | ((?[X]:((~creative(X)&humble(X))))<=>((calm(mary)<~>~old(mary))))&
(![X]:((strong(X)<~>old(X))=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&humble(X))<=>(humble(X)<~>creative(X))))&
((calm(lucy))<=>((~curious(mary)|curious(mary))))&
(![X]:((~wise(X)|strong(X))<=>~creative(X)))&
(((~brave(lucy)|~curious(lucy)))=>(... | old(alice) | [] | null | 0 |
Everyone who is either not generous or happy is both not patient and not happy.
Everyone who is creative or brave is not strong or not happy.
If someone is quiet then mary is not creative and vice versa.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Everyone who is patient or ... | Paul is not wise. | contradiction | (![X]:((~generous(X)<~>happy(X))=>(~patient(X)&~happy(X))))&
(![X]:((creative(X)|brave(X))=>(~strong(X)|~happy(X))))&
((?[X]:(quiet(X)))<=>(~creative(mary)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((~calm(X... | ~wise(paul) | [
"p4",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 48509618923509120356497
% SZS output start Proof for 48509618923509120356497
5. ! [X0] : ((~wise(X0) | patient(X0)) => ~curious(X0)) [input p4]
7. ! [X0] : ((strong(X0) | patient(X0)) <=> (happy(X0) & kind(X0))) [input p6]
15. ? [X0] : happy(X0) <=> (curious(lucy) & ~wise(lucy)) [input p1... | 0 |
If someone is kind then john is not quiet or humble and vice versa.
Everyone who is not generous is not generous or old and vice versa.
If susan is generous then alice is both not kind and not wise and vice versa.
Everyone who is either not quiet or funny is rich.
If someone is either old or curious then lucy is either... | Alice is not patient. | contradiction | ((?[X]:(kind(X)))<=>((~quiet(john)|humble(john))))&
(![X]:(~generous(X)<=>(~generous(X)|old(X))))&
((generous(susan))<=>((~kind(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>funny(X))=>rich(X)))&
((?[X]:((old(X)<~>curious(X))))<=>((~brave(lucy)<~>strong(lucy))))&
((?[X]:((strong(X)&brave(X))))<=>(?[X]:(curious(X))))&
(![... | ~patient(alice) | [
"p1",
"p5",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8471079788074634399775729
% SZS output start Proof for 8471079788074634399775729
2. ! [X0] : (~generous(X0) <=> (old(X0) | ~generous(X0))) [input p1]
6. ? [X0] : (brave(X0) & strong(X0)) <=> ? [X0] : curious(X0) [input p5]
10. ! [X0] : (~generous(X0) <=> (~curious(X0) & ~old(X0))) [input ... | 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 ... | Fred is strong. | 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... | strong(fred) | [
"p0",
"p1",
"p4",
"p7",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5063362540863440451899911
% SZS output start Proof for 5063362540863440451899911
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(X... | 0 |
If lucy is either wise or creative then fred is either tall or rich.
If someone is funny then john is generous and vice versa.
If mary is kind or not curious then john is both not humble and creative and vice versa.
Everyone who is both old and not funny is not funny.
Everyone who is not funny is creative or calm and v... | Mary is creative. | neutral | (((wise(lucy)<~>creative(lucy)))=>((tall(fred)<~>rich(fred))))&
((?[X]:(funny(X)))<=>(generous(john)))&
(((kind(mary)|~curious(mary)))<=>((~humble(john)&creative(john))))&
(![X]:((old(X)&~funny(X))=>~funny(X)))&
(![X]:(~funny(X)<=>(creative(X)|calm(X))))&
(((curious(fred)&~old(fred)))<=>((~quiet(susan)<~>generous(susan... | creative(mary) | [] | null | 0 |
If lucy is patient or not strong then someone is both not happy and kind and vice versa.
Everyone who is both calm and strong is either not wise or old.
If someone is tall or not humble then someone is either creative or generous.
Everyone who is not tall or not rich is both old and not curious.
If john is either not f... | Mary is kind. | entailment | (((patient(lucy)|~strong(lucy)))<=>(?[X]:((~happy(X)&kind(X)))))&
(![X]:((calm(X)&strong(X))=>(~wise(X)<~>old(X))))&
((?[X]:((tall(X)|~humble(X))))=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:((~tall(X)|~rich(X))=>(old(X)&~curious(X))))&
(((~funny(john)<~>creative(john)))<=>((humble(paul)|curious(paul))))&
(![X]:(wis... | kind(mary) | [
"p7",
"p10",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7191761709609832548759020
% SZS output start Proof for 7191761709609832548759020
8. ! [X0] : (humble(X0) <=> (~kind(X0) & ~curious(X0))) [input p7]
11. ! [X0] : (~kind(X0) => (~generous(X0) | humble(X0))) [input p10]
14. ! [X0] : (~old(X0) => curious(X0)) [input p13]
15. ! [X0] : ((old(X0... | 0 |
Everyone who is not happy or not kind is not funny or not kind.
Everyone who is not creative or creative is both not generous and not tall.
Everyone who is either not creative or funny is not generous and vice versa.
Everyone who is both not patient and not humble is both tall and not humble and vice versa.
If someone ... | Lucy is not strong. | entailment | (![X]:((~happy(X)|~kind(X))=>(~funny(X)|~kind(X))))&
(![X]:((~creative(X)|creative(X))=>(~generous(X)&~tall(X))))&
(![X]:((~creative(X)<~>funny(X))<=>~generous(X)))&
(![X]:((~patient(X)&~humble(X))<=>(tall(X)&~humble(X))))&
((?[X]:((kind(X)&creative(X))))<=>(?[X]:((tall(X)<~>~calm(X)))))&
(((rich(john)&~brave(john)))<=... | ~strong(lucy) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2607457646103369835260703
% SZS output start Proof for 2607457646103369835260703
2. ! [X0] : ((creative(X0) | ~creative(X0)) => (~tall(X0) & ~generous(X0))) [input p1]
11. (kind(lucy) | strong(lucy)) <=> ? [X0] : (rich(X0) & generous(X0)) [input p10]
24. strong(lucy) [input hypothesis]
32... | 0 |
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