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 either wise or quiet is not rich or not wise and vice versa.
If john is wise or brave then paul is not generous and vice versa.
Everyone who is curious is happy.
If someone is either wise or patient then someone is not curious or not funny.
Everyone who is strong is both humble and creative and vice ver... | Fred is humble. | contradiction | (![X]:((wise(X)<~>quiet(X))<=>(~rich(X)|~wise(X))))&
(((wise(john)|brave(john)))<=>(~generous(paul)))&
(![X]:(curious(X)=>happy(X)))&
((?[X]:((wise(X)<~>patient(X))))=>(?[X]:((~curious(X)|~funny(X)))))&
(![X]:(strong(X)<=>(humble(X)&creative(X))))&
(![X]:((~happy(X)&~humble(X))<=>~calm(X)))&
(![X]:((~rich(X)<~>calm(X))... | humble(fred) | [
"p0",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 371093085299919232214661
% SZS output start Proof for 371093085299919232214661
1. ! [X0] : ((wise(X0) <~> quiet(X0)) <=> (~wise(X0) | ~rich(X0))) [input p0]
10. ! [X0] : ((~quiet(X0) & humble(X0)) => ~wise(X0)) [input p9]
12. ! [X0] : ((quiet(X0) & generous(X0)) <=> quiet(X0)) [input p11]... | 0 |
Everyone who is either generous or not brave is both not creative and not quiet. Everyone who is either not tall or not funny is both humble and not generous and vice versa. Everyone who is happy is not calm or strong and vice versa. Everyone who is both brave and not curious is patient or not patient. Everyone who is ... | Paul is not wise. | contradiction | (![X]:((generous(X)<~>~brave(X))=>(~creative(X)&~quiet(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>(humble(X)&~generous(X))))&
(![X]:(happy(X)<=>(~calm(X)|strong(X))))&
(![X]:((brave(X)&~curious(X))=>(patient(X)|~patient(X))))&
(![X]:(~tall(X)=>(old(X)|generous(X))))&
(![X]:((~funny(X)<~>old(X))<=>(~patient(X)|~tall(X))))&
... | ~wise(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5685094228191242901886057
% SZS output start Proof for 5685094228191242901886057
9. ! [X0] : (~wise(X0) => (~calm(X0) & wise(X0))) [input p8]
23. ~wise(paul) [input hypothesis]
32. ! [X0] : ((~calm(X0) & wise(X0)) | wise(X0)) [ennf transformation 9]
100. wise(X0) | wise(X0) [cnf transform... | 0 |
Everyone who is both not creative and not curious is humble and vice versa.
If paul is both not calm and not strong then someone is either not patient or old and vice versa.
Everyone who is not calm is not old and vice versa.
Everyone who is not humble is either calm or old.
Everyone who is not generous or not quiet is... | Lucy is not wise. | contradiction | (![X]:((~creative(X)&~curious(X))<=>humble(X)))&
(((~calm(paul)&~strong(paul)))<=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(~calm(X)<=>~old(X)))&
(![X]:(~humble(X)=>(calm(X)<~>old(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(~humble(X)&~funny(X))))&
(![X]:((creative(X)|~creative(X))=>(wise(X)&old(X))))&
((?[X]:((curious(X)... | ~wise(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7418136157754407721326680
% SZS output start Proof for 7418136157754407721326680
6. ! [X0] : ((~creative(X0) | creative(X0)) => (old(X0) & wise(X0))) [input p5]
18. ~wise(lucy) [input hypothesis]
23. ! [X0] : ((old(X0) & wise(X0)) | (creative(X0) & ~creative(X0))) [ennf transformation 6]
... | 0 |
Everyone who is either not happy or not kind is both brave and creative and vice versa. Everyone who is both not happy and not humble is not generous or not happy and vice versa. Everyone who is both not rich and strong is humble or brave. Everyone who is either tall or creative is both not funny and not kind. If alice... | Fred is not kind. | neutral | (![X]:((~happy(X)<~>~kind(X))<=>(brave(X)&creative(X))))&
(![X]:((~happy(X)&~humble(X))<=>(~generous(X)|~happy(X))))&
(![X]:((~rich(X)&strong(X))=>(humble(X)|brave(X))))&
(![X]:((tall(X)<~>creative(X))=>(~funny(X)&~kind(X))))&
((~strong(alice))<=>((~patient(fred)<~>~kind(fred))))&
((~generous(fred))<=>(?[X]:(happy(X)))... | ~kind(fred) | [] | null | 0 |
Everyone who is either not generous or generous is both not funny and kind and vice versa.
Everyone who is both not creative and quiet is both not strong and strong.
Everyone who is either not humble or generous is both not funny and humble.
Everyone who is not tall or creative is both not humble and wise.
If someone i... | Mary is not generous. | entailment | (![X]:((~generous(X)<~>generous(X))<=>(~funny(X)&kind(X))))&
(![X]:((~creative(X)&quiet(X))=>(~strong(X)&strong(X))))&
(![X]:((~humble(X)<~>generous(X))=>(~funny(X)&humble(X))))&
(![X]:((~tall(X)|creative(X))=>(~humble(X)&wise(X))))&
((?[X]:((~patient(X)|wise(X))))<=>((humble(mary)<~>~calm(mary))))&
(![X]:((~patient(X)... | ~generous(mary) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 889187434445379258117641
% SZS output start Proof for 889187434445379258117641
1. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (kind(X0) & ~funny(X0))) [input p0]
5. ? [X0] : (wise(X0) | ~patient(X0)) <=> (humble(mary) <~> ~calm(mary)) [input p4]
7. ! [X0] : ((~generous(X0) <~> ~humble(... | 0 |
Everyone who is both quiet and not rich is both not generous and not old and vice versa.
Everyone who is generous or wise is either not humble or not happy.
Everyone who is not humble is strong or not wise and vice versa.
Everyone who is both wise and not quiet is not humble or not patient and vice versa.
Everyone who ... | Susan is wise. | entailment | (![X]:((quiet(X)&~rich(X))<=>(~generous(X)&~old(X))))&
(![X]:((generous(X)|wise(X))=>(~humble(X)<~>~happy(X))))&
(![X]:(~humble(X)<=>(strong(X)|~wise(X))))&
(![X]:((wise(X)&~quiet(X))<=>(~humble(X)|~patient(X))))&
(![X]:(generous(X)=>(humble(X)&~quiet(X))))&
(![X]:((rich(X)&~generous(X))<=>(brave(X)&~tall(X))))&
((~qui... | wise(susan) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 82285975604724050233479
% SZS output start Proof for 82285975604724050233479
3. ! [X0] : (~humble(X0) <=> (~wise(X0) | strong(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) & wise(X0)) <=> (~patient(X0) | ~humble(X0))) [input p3]
20. ~wise(susan) [input hypothesis]
31. ! [X0] : ((~humble(X0) |... | 0 |
If susan is either not old or not kind then lucy is both not curious and tall and vice versa.
If someone is both happy and kind then alice is both calm and wise.
Everyone who is both not curious and wise is rich and vice versa.
If lucy is either kind or wise then someone is creative and vice versa.
If alice is both hum... | Paul is not brave. | neutral | (((~old(susan)<~>~kind(susan)))<=>((~curious(lucy)&tall(lucy))))&
((?[X]:((happy(X)&kind(X))))=>((calm(alice)&wise(alice))))&
(![X]:((~curious(X)&wise(X))<=>rich(X)))&
(((kind(lucy)<~>wise(lucy)))<=>(?[X]:(creative(X))))&
(((humble(alice)&~wise(alice)))=>((~old(john)<~>quiet(john))))&
((?[X]:(wise(X)))<=>(~funny(paul))... | ~brave(paul) | [] | null | 0 |
Everyone who is not calm is not strong.
Everyone who is either not patient or not brave is not strong or tall and vice versa.
Everyone who is old is curious and vice versa.
If lucy is not quiet then someone is curious or quiet and vice versa.
Everyone who is either curious or patient is both not happy and creative and ... | Fred is funny. | entailment | (![X]:(~calm(X)=>~strong(X)))&
(![X]:((~patient(X)<~>~brave(X))<=>(~strong(X)|tall(X))))&
(![X]:(old(X)<=>curious(X)))&
((~quiet(lucy))<=>(?[X]:((curious(X)|quiet(X)))))&
(![X]:((curious(X)<~>patient(X))<=>(~happy(X)&creative(X))))&
((?[X]:((calm(X)<~>funny(X))))<=>(?[X]:((quiet(X)|~humble(X)))))&
((calm(lucy))=>(wise(... | funny(fred) | [
"p2",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4433847270047565795700102
% SZS output start Proof for 4433847270047565795700102
3. ! [X0] : (old(X0) <=> curious(X0)) [input p2]
11. ! [X0] : ((curious(X0) & ~humble(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p10]
13. ! [X0] : ((strong(X0) & creative(X0)) <=> (~strong(X0) & tall(X... | 0 |
If someone is either not brave or generous then someone is either not creative or tall.
If someone is kind or creative then susan is wise and vice versa.
Everyone who is not creative or creative is either not patient or not strong.
Everyone who is creative or not strong is either not brave or not happy.
Everyone who is... | Susan is tall. | contradiction | ((?[X]:((~brave(X)<~>generous(X))))=>(?[X]:((~creative(X)<~>tall(X)))))&
((?[X]:((kind(X)|creative(X))))<=>(wise(susan)))&
(![X]:((~creative(X)|creative(X))=>(~patient(X)<~>~strong(X))))&
(![X]:((creative(X)|~strong(X))=>(~brave(X)<~>~happy(X))))&
(![X]:(brave(X)<=>happy(X)))&
(![X]:((~tall(X)&~curious(X))<=>(humble(X)... | tall(susan) | [
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2377853361757583042488744
% SZS output start Proof for 2377853361757583042488744
6. ! [X0] : ((~curious(X0) & ~tall(X0)) <=> (wise(X0) | humble(X0))) [input p5]
17. ~patient(susan) & humble(susan) [input p16]
22. tall(susan) [input hypothesis]
45. ! [X0] : (((~curious(X0) & ~tall(X0)) | (... | 0 |
If someone is not patient then someone is both rich and creative and vice versa.
If john is not brave or not kind then someone is either brave or quiet and vice versa.
If someone is brave then someone is not funny and vice versa.
If someone is both not old and curious then someone is either not generous or tall.
If som... | John is generous. | entailment | ((?[X]:(~patient(X)))<=>(?[X]:((rich(X)&creative(X)))))&
(((~brave(john)|~kind(john)))<=>(?[X]:((brave(X)<~>quiet(X)))))&
((?[X]:(brave(X)))<=>(?[X]:(~funny(X))))&
((?[X]:((~old(X)&curious(X))))=>(?[X]:((~generous(X)<~>tall(X)))))&
((?[X]:((generous(X)&~strong(X))))=>((~creative(susan)&~calm(susan))))&
(![X]:((~tall(X)... | generous(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6461001919788723845517922
% SZS output start Proof for 6461001919788723845517922
12. ! [X0] : ((creative(X0) & ~creative(X0)) <=> (~generous(X0) | ~old(X0))) [input p11]
25. ~generous(john) [input hypothesis]
72. ! [X0] : (((creative(X0) & ~creative(X0)) | (generous(X0) & old(X0))) & ((~g... | 0 |
Everyone who is not tall or not humble is happy or calm and vice versa. Everyone who is rich is not kind. If mary is either not generous or rich then someone is kind or not creative. If someone is both not quiet and rich then alice is both tall and kind and vice versa. Everyone who is either funny or strong is either h... | Susan is not patient. | neutral | (![X]:((~tall(X)|~humble(X))<=>(happy(X)|calm(X))))&
(![X]:(rich(X)=>~kind(X)))&
(((~generous(mary)<~>rich(mary)))=>(?[X]:((kind(X)|~creative(X)))))&
((?[X]:((~quiet(X)&rich(X))))<=>((tall(alice)&kind(alice))))&
(![X]:((funny(X)<~>strong(X))<=>(happy(X)<~>~generous(X))))&
(((creative(john)|~happy(john)))<=>(wise(mary))... | ~patient(susan) | [] | null | 0 |
If someone is generous or old then lucy is both calm and tall and vice versa.
Everyone who is either patient or not creative is not patient and vice versa.
Everyone who is either not tall or strong is both calm and strong and vice versa.
If fred is patient or humble then lucy is both not happy and funny.
If someone is ... | Fred is not quiet. | neutral | ((?[X]:((generous(X)|old(X))))<=>((calm(lucy)&tall(lucy))))&
(![X]:((patient(X)<~>~creative(X))<=>~patient(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(calm(X)&strong(X))))&
(((patient(fred)|humble(fred)))=>((~happy(lucy)&funny(lucy))))&
((?[X]:((~wise(X)&creative(X))))<=>(?[X]:((old(X)|~wise(X)))))&
((~calm(susan))<=>(?[X]:... | ~quiet(fred) | [] | null | 0 |
Everyone who is wise is not rich.
If someone is funny then john is creative or strong.
Everyone who is both calm and not humble is patient.
If someone is happy or wise then john is either not happy or not quiet and vice versa.
Everyone who is rich is either patient or not old and vice versa.
If alice is not generous th... | Fred is quiet. | neutral | (![X]:(wise(X)=>~rich(X)))&
((?[X]:(funny(X)))=>((creative(john)|strong(john))))&
(![X]:((calm(X)&~humble(X))=>patient(X)))&
((?[X]:((happy(X)|wise(X))))<=>((~happy(john)<~>~quiet(john))))&
(![X]:(rich(X)<=>(patient(X)<~>~old(X))))&
((~generous(alice))=>((~curious(fred)&~quiet(fred))))&
(![X]:((~creative(X)|calm(X))=>(... | quiet(fred) | [] | null | 0 |
If alice is either not generous or strong then someone is funny.
If someone is both generous and not humble then paul is not patient.
Everyone who is happy or not happy is not generous.
If fred is both not rich and curious then someone is not brave and vice versa.
If paul is either funny or happy then fred is generous ... | Fred is not calm. | neutral | (((~generous(alice)<~>strong(alice)))=>(?[X]:(funny(X))))&
((?[X]:((generous(X)&~humble(X))))=>(~patient(paul)))&
(![X]:((happy(X)|~happy(X))=>~generous(X)))&
(((~rich(fred)&curious(fred)))<=>(?[X]:(~brave(X))))&
(((funny(paul)<~>happy(paul)))=>((generous(fred)|wise(fred))))&
(![X]:((~humble(X)|~happy(X))<=>~brave(X)))... | ~calm(fred) | [] | null | 0 |
Everyone who is either not brave or kind is rich or calm. Everyone who is not wise or not generous is both creative and humble and vice versa. If susan is not happy then someone is either not funny or rich and vice versa. Everyone who is both rich and not generous is either not quiet or kind and vice versa. Everyone wh... | Paul is humble. | neutral | (![X]:((~brave(X)<~>kind(X))=>(rich(X)|calm(X))))&
(![X]:((~wise(X)|~generous(X))<=>(creative(X)&humble(X))))&
((~happy(susan))<=>(?[X]:((~funny(X)<~>rich(X)))))&
(![X]:((rich(X)&~generous(X))<=>(~quiet(X)<~>kind(X))))&
(![X]:(rich(X)=>(~curious(X)<~>brave(X))))&
((old(lucy))<=>(?[X]:((~calm(X)&quiet(X)))))&
(![X]:(~qu... | humble(paul) | [] | null | 0 |
Everyone who is not tall or curious is not brave or kind and vice versa.
Everyone who is both not wise and not generous is both not wise and not happy.
Everyone who is either generous or not funny is either kind or not humble.
Everyone who is humble or brave is happy.
Everyone who is both not kind and not brave is both... | Susan is not curious. | contradiction | (![X]:((~tall(X)|curious(X))<=>(~brave(X)|kind(X))))&
(![X]:((~wise(X)&~generous(X))=>(~wise(X)&~happy(X))))&
(![X]:((generous(X)<~>~funny(X))=>(kind(X)<~>~humble(X))))&
(![X]:((humble(X)|brave(X))=>happy(X)))&
(![X]:((~kind(X)&~brave(X))<=>(creative(X)&calm(X))))&
((?[X]:(creative(X)))=>((~curious(mary)|~strong(mary))... | ~curious(susan) | [
"p0",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4865118033320895458862818
% SZS output start Proof for 4865118033320895458862818
1. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (kind(X0) | ~brave(X0))) [input p0]
12. ! [X0] : (wise(X0) <=> ~kind(X0)) [input p11]
14. ! [X0] : ((~tall(X0) | wise(X0)) => (brave(X0) & creative(X0))) [input p13]... | 0 |
Everyone who is curious is not brave and vice versa.
If someone is rich or wise then someone is patient.
Everyone who is humble or not creative is either wise or not old and vice versa.
If lucy is either humble or wise then someone is both not quiet and patient and vice versa.
Everyone who is not creative is both stron... | Paul is brave. | entailment | (![X]:(curious(X)<=>~brave(X)))&
((?[X]:((rich(X)|wise(X))))=>(?[X]:(patient(X))))&
(![X]:((humble(X)|~creative(X))<=>(wise(X)<~>~old(X))))&
(((humble(lucy)<~>wise(lucy)))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(~creative(X)<=>(strong(X)&creative(X))))&
(![X]:(~brave(X)<=>(brave(X)&~generous(X))))&
(![X]:((~quiet(X)... | brave(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6009940600875548844929339
% SZS output start Proof for 6009940600875548844929339
6. ! [X0] : (~brave(X0) <=> (~generous(X0) & brave(X0))) [input p5]
23. ~brave(paul) [input hypothesis]
47. ! [X0] : ((~brave(X0) | (generous(X0) | ~brave(X0))) & ((~generous(X0) & brave(X0)) | brave(X0))) [n... | 0 |
If alice is not happy or old then someone is either happy or not tall. If someone is either not curious or calm then fred is both patient and strong. If mary is either not quiet or not strong then someone is either creative or curious. Everyone who is strong is not tall. If someone is happy or calm then mary is not qui... | Mary is curious. | contradiction | (((~happy(alice)|old(alice)))=>(?[X]:((happy(X)<~>~tall(X)))))&
((?[X]:((~curious(X)<~>calm(X))))=>((patient(fred)&strong(fred))))&
(((~quiet(mary)<~>~strong(mary)))=>(?[X]:((creative(X)<~>curious(X)))))&
(![X]:(strong(X)=>~tall(X)))&
((?[X]:((happy(X)|calm(X))))=>(~quiet(mary)))&
(![X]:((~curious(X)|~calm(X))<=>(~curi... | curious(mary) | [
"p1",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8573027039954944570905907
% SZS output start Proof for 8573027039954944570905907
2. ? [X0] : (~curious(X0) <~> calm(X0)) => (strong(fred) & patient(fred)) [input p1]
6. ! [X0] : ((~calm(X0) | ~curious(X0)) <=> (funny(X0) & ~curious(X0))) [input p5]
7. ! [X0] : ((humble(X0) | curious(X0)) ... | 0 |
Everyone who is both not funny and not humble is not kind and vice versa.
Everyone who is not brave or creative is either generous or tall.
Everyone who is not quiet or tall is not strong.
If susan is funny or not tall then susan is either strong or not funny.
Everyone who is not patient or old is either not curious or... | Alice is not tall. | contradiction | (![X]:((~funny(X)&~humble(X))<=>~kind(X)))&
(![X]:((~brave(X)|creative(X))=>(generous(X)<~>tall(X))))&
(![X]:((~quiet(X)|tall(X))=>~strong(X)))&
(((funny(susan)|~tall(susan)))=>((strong(susan)<~>~funny(susan))))&
(![X]:((~patient(X)|old(X))=>(~curious(X)<~>~old(X))))&
(![X]:((~creative(X)<~>~happy(X))<=>(humble(X)<~>~k... | ~tall(alice) | [
"p0",
"p2",
"p6",
"p7",
"p10",
"p13",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7145980426506386743671886
% SZS output start Proof for 7145980426506386743671886
1. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> ~kind(X0)) [input p0]
3. ! [X0] : ((tall(X0) | ~quiet(X0)) => ~strong(X0)) [input p2]
7. ! [X0] : ((happy(X0) | ~patient(X0)) => (rich(X0) <~> ~humble(X0))) [input ... | 0 |
Everyone who is not humble or strong is old and vice versa.
Everyone who is calm or rich is quiet or happy and vice versa.
Everyone who is either patient or not humble is either patient or not tall.
Everyone who is funny is both not funny and wise.
Everyone who is quiet or old is not patient.
Everyone who is both not c... | Mary is generous. | entailment | (![X]:((~humble(X)|strong(X))<=>old(X)))&
(![X]:((calm(X)|rich(X))<=>(quiet(X)|happy(X))))&
(![X]:((patient(X)<~>~humble(X))=>(patient(X)<~>~tall(X))))&
(![X]:(funny(X)=>(~funny(X)&wise(X))))&
(![X]:((quiet(X)|old(X))=>~patient(X)))&
(![X]:((~curious(X)&creative(X))<=>(happy(X)|~wise(X))))&
(![X]:((~quiet(X)&~old(X))=>... | generous(mary) | [
"p0",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9022968683473707000621737
% SZS output start Proof for 9022968683473707000621737
1. ! [X0] : ((strong(X0) | ~humble(X0)) <=> old(X0)) [input p0]
10. ! [X0] : ((tall(X0) | ~generous(X0)) => ~old(X0)) [input p9]
13. ! [X0] : ((brave(X0) | humble(X0)) <=> (~generous(X0) <~> humble(X0))) [inp... | 0 |
Everyone who is not old is both curious and tall.
If someone is both not happy and generous then lucy is not rich and vice versa.
If someone is not funny then alice is both not tall and strong and vice versa.
If someone is generous then susan is both not funny and calm and vice versa.
If mary is both not rich and old t... | Fred is funny. | contradiction | (![X]:(~old(X)=>(curious(X)&tall(X))))&
((?[X]:((~happy(X)&generous(X))))<=>(~rich(lucy)))&
((?[X]:(~funny(X)))<=>((~tall(alice)&strong(alice))))&
((?[X]:(generous(X)))<=>((~funny(susan)&calm(susan))))&
(((~rich(mary)&old(mary)))=>((~calm(susan)|~tall(susan))))&
(((~kind(john)<~>creative(john)))=>((~funny(alice)|wise(a... | funny(fred) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7768824688033446810285398
% SZS output start Proof for 7768824688033446810285398
24. ~funny(fred) & strong(fred) [input p23]
25. funny(fred) [input hypothesis]
150. ~funny(fred) [cnf transformation 24]
151. funny(fred) [cnf transformation 25]
405. $false [subsumption resolution 151,150]
%... | 0 |
If lucy is both not calm and not humble then alice is not kind and vice versa.
Everyone who is either brave or not old is quiet and vice versa.
If john is both happy and rich then someone is not humble or funny and vice versa.
If paul is not funny or creative then alice is both not curious and not strong and vice versa... | Alice is wise. | entailment | (((~calm(lucy)&~humble(lucy)))<=>(~kind(alice)))&
(![X]:((brave(X)<~>~old(X))<=>quiet(X)))&
(((happy(john)&rich(john)))<=>(?[X]:((~humble(X)|funny(X)))))&
(((~funny(paul)|creative(paul)))<=>((~curious(alice)&~strong(alice))))&
(![X]:((patient(X)&~tall(X))<=>(rich(X)|~patient(X))))&
(![X]:((quiet(X)|wise(X))=>(~quiet(X)... | wise(alice) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6238978569355125828957338
% SZS output start Proof for 6238978569355125828957338
2. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> quiet(X0)) [input p1]
3. (rich(john) & happy(john)) <=> ? [X0] : (funny(X0) | ~humble(X0)) [input p2]
5. ! [X0] : ((~tall(X0) & patient(X0)) <=> (~patient(X0) | rich(... | 0 |
If someone is both generous and not creative then someone is both not generous and brave. If someone is either happy or not kind then paul is not old. If lucy is both not brave and wise then lucy is either not strong or strong. Everyone who is either quiet or not quiet is old. Everyone who is curious is not strong. Eve... | Alice is brave. | contradiction | ((?[X]:((generous(X)&~creative(X))))=>(?[X]:((~generous(X)&brave(X)))))&
((?[X]:((happy(X)<~>~kind(X))))=>(~old(paul)))&
(((~brave(lucy)&wise(lucy)))=>((~strong(lucy)<~>strong(lucy))))&
(![X]:((quiet(X)<~>~quiet(X))=>old(X)))&
(![X]:(curious(X)=>~strong(X)))&
(![X]:((~tall(X)&brave(X))=>(~curious(X)&curious(X))))&
(![X... | brave(alice) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2946964283131254457490627
% SZS output start Proof for 2946964283131254457490627
1. ? [X0] : (~creative(X0) & generous(X0)) => ? [X0] : (brave(X0) & ~generous(X0)) [input p0]
2. ? [X0] : (happy(X0) <~> ~kind(X0)) => ~old(paul) [input p1]
4. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => old(X0))... | 0 |
Everyone who is not quiet or funny is calm. If alice is not patient or not curious then alice is not generous and vice versa. If someone is old then someone is not tall or not funny. If lucy is either curious or not quiet then mary is not old. Everyone who is curious is either brave or not kind and vice versa. If lucy ... | Lucy is generous. | entailment | (![X]:((~quiet(X)|funny(X))=>calm(X)))&
(((~patient(alice)|~curious(alice)))<=>(~generous(alice)))&
((?[X]:(old(X)))=>(?[X]:((~tall(X)|~funny(X)))))&
(((curious(lucy)<~>~quiet(lucy)))=>(~old(mary)))&
(![X]:(curious(X)<=>(brave(X)<~>~kind(X))))&
(((brave(lucy)&funny(lucy)))=>(?[X]:((humble(X)|~generous(X)))))&
(((wise(l... | generous(lucy) | [
"p4",
"p7",
"p8",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 618632940086669038166304
% SZS output start Proof for 618632940086669038166304
5. ! [X0] : (curious(X0) <=> (brave(X0) <~> ~kind(X0))) [input p4]
8. (tall(alice) & kind(alice)) <=> (~old(lucy) | ~kind(lucy)) [input p7]
9. ! [X0] : ((~brave(X0) <~> ~old(X0)) => (~old(X0) | ~kind(X0))) [inp... | 0 |
Everyone who is either not creative or creative is not rich or creative.
If someone is calm then someone is funny or humble and vice versa.
If mary is creative or humble then mary is both not strong and not old.
Everyone who is both not brave and not rich is patient.
Everyone who is either tall or curious is not quiet ... | Mary is curious. | contradiction | (![X]:((~creative(X)<~>creative(X))=>(~rich(X)|creative(X))))&
((?[X]:(calm(X)))<=>(?[X]:((funny(X)|humble(X)))))&
(((creative(mary)|humble(mary)))=>((~strong(mary)&~old(mary))))&
(![X]:((~brave(X)&~rich(X))=>patient(X)))&
(![X]:((tall(X)<~>curious(X))<=>~quiet(X)))&
(![X]:(~quiet(X)<=>(happy(X)|curious(X))))&
(((happy... | curious(mary) | [
"p0",
"p2",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7821820964133986770620784
% SZS output start Proof for 7821820964133986770620784
1. ! [X0] : ((~creative(X0) <~> creative(X0)) => (creative(X0) | ~rich(X0))) [input p0]
3. (humble(mary) | creative(mary)) => (~old(mary) & ~strong(mary)) [input p2]
6. ! [X0] : (~quiet(X0) <=> (curious(X0) |... | 0 |
If someone is not happy or generous then mary is happy or quiet. If someone is either not curious or not patient then someone is kind. If lucy is happy or old then someone is happy or quiet and vice versa. If someone is both kind and not quiet then someone is either old or happy and vice versa. If john is wise then som... | Paul is tall. | neutral | ((?[X]:((~happy(X)|generous(X))))=>((happy(mary)|quiet(mary))))&
((?[X]:((~curious(X)<~>~patient(X))))=>(?[X]:(kind(X))))&
(((happy(lucy)|old(lucy)))<=>(?[X]:((happy(X)|quiet(X)))))&
((?[X]:((kind(X)&~quiet(X))))<=>(?[X]:((old(X)<~>happy(X)))))&
((wise(john))<=>(?[X]:((~strong(X)|creative(X)))))&
(((strong(john)|~stron... | tall(paul) | [] | null | 0 |
Everyone who is both rich and kind is generous.
If someone is both happy and humble then someone is both rich and not patient and vice versa.
Everyone who is either not funny or not old is both generous and not brave and vice versa.
If john is not funny or not wise then mary is either not brave or not happy and vice ve... | John is not quiet. | neutral | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:((~funny(X)<~>~old(X))<=>(generous(X)&~brave(X))))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)... | ~quiet(john) | [] | null | 0 |
Everyone who is brave or not old is not wise or tall.
Everyone who is not quiet is not strong.
If someone is not funny or not brave then susan is both creative and curious.
Everyone who is not generous or happy is either funny or not funny and vice versa.
Everyone who is either not strong or not curious is either kind ... | Fred is not brave. | entailment | (![X]:((brave(X)|~old(X))=>(~wise(X)|tall(X))))&
(![X]:(~quiet(X)=>~strong(X)))&
((?[X]:((~funny(X)|~brave(X))))=>((creative(susan)&curious(susan))))&
(![X]:((~generous(X)|happy(X))<=>(funny(X)<~>~funny(X))))&
(![X]:((~strong(X)<~>~curious(X))=>(kind(X)<~>~generous(X))))&
(((humble(alice)|creative(alice)))<=>(?[X]:(tal... | ~brave(fred) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2537282241796347608737872
% SZS output start Proof for 2537282241796347608737872
9. ! [X0] : ((~wise(X0) | ~humble(X0)) => (~tall(X0) & humble(X0))) [input p8]
13. ! [X0] : ((~humble(X0) | humble(X0)) <=> (~strong(X0) & ~brave(X0))) [input p12]
23. brave(fred) [input hypothesis]
32. ! [X0... | 0 |
Everyone who is funny is either not brave or rich. Everyone who is either not calm or generous is both patient and not curious and vice versa. Everyone who is both not rich and brave is not calm or generous. Everyone who is either not patient or wise is either happy or not creative. If fred is not curious then someone ... | Alice is not quiet. | neutral | (![X]:(funny(X)=>(~brave(X)<~>rich(X))))&
(![X]:((~calm(X)<~>generous(X))<=>(patient(X)&~curious(X))))&
(![X]:((~rich(X)&brave(X))=>(~calm(X)|generous(X))))&
(![X]:((~patient(X)<~>wise(X))=>(happy(X)<~>~creative(X))))&
((~curious(fred))<=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((strong(X)|~funny(X))<=>(~humble(X)&~quiet(X... | ~quiet(alice) | [] | null | 0 |
If mary is either not rich or creative then someone is either happy or not happy.
Everyone who is not quiet or wise is kind or not curious and vice versa.
Everyone who is not calm or not patient is not old and vice versa.
Everyone who is not quiet is either rich or not brave.
Everyone who is not rich or wise is generou... | Mary is not tall. | neutral | (((~rich(mary)<~>creative(mary)))=>(?[X]:((happy(X)<~>~happy(X)))))&
(![X]:((~quiet(X)|wise(X))<=>(kind(X)|~curious(X))))&
(![X]:((~calm(X)|~patient(X))<=>~old(X)))&
(![X]:(~quiet(X)=>(rich(X)<~>~brave(X))))&
(![X]:((~rich(X)|wise(X))<=>(generous(X)|~curious(X))))&
(![X]:(~strong(X)=>(~strong(X)&~old(X))))&
(![X]:((~ca... | ~tall(mary) | [] | null | 0 |
If someone is tall or curious then susan is not kind and vice versa. Everyone who is wise is funny. If someone is both humble and curious then alice is either happy or not happy. If fred is not generous then someone is not humble or not strong and vice versa. If susan is not strong then john is kind. If lucy is creativ... | Lucy is not brave. | contradiction | ((?[X]:((tall(X)|curious(X))))<=>(~kind(susan)))&
(![X]:(wise(X)=>funny(X)))&
((?[X]:((humble(X)&curious(X))))=>((happy(alice)<~>~happy(alice))))&
((~generous(fred))<=>(?[X]:((~humble(X)|~strong(X)))))&
((~strong(susan))=>(kind(john)))&
((creative(lucy))=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((quiet(X)&humble(X))<=>(~o... | ~brave(lucy) | [
"p6",
"p7",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2748159823270646761610154
% SZS output start Proof for 2748159823270646761610154
7. ! [X0] : ((humble(X0) & quiet(X0)) <=> (~funny(X0) & ~old(X0))) [input p6]
8. ! [X0] : (old(X0) <=> (~tall(X0) & humble(X0))) [input p7]
12. ? [X0] : quiet(X0) <=> (humble(paul) | generous(paul)) [input p1... | 0 |
Everyone who is not brave is either not strong or rich and vice versa.
If someone is either happy or generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and n... | Mary is strong. | entailment | (![X]:(~brave(X)<=>(~strong(X)<~>rich(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((gen... | strong(mary) | [
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1756633489114416619555555
% SZS output start Proof for 1756633489114416619555555
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
7. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input p6]
12. ! [X0] : ((~humble(X0) & generous(X0)) <=> ~strong(X0)) [input p11]
21.... | 0 |
Everyone who is not calm is both patient and creative and vice versa.
Everyone who is both not tall and not kind is not happy or not quiet and vice versa.
Everyone who is not brave is either tall or creative.
Everyone who is not generous is either not old or funny and vice versa.
Everyone who is both old and not tall i... | Lucy is not brave. | neutral | (![X]:(~calm(X)<=>(patient(X)&creative(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~happy(X)|~quiet(X))))&
(![X]:(~brave(X)=>(tall(X)<~>creative(X))))&
(![X]:(~generous(X)<=>(~old(X)<~>funny(X))))&
(![X]:((old(X)&~tall(X))=>(creative(X)&patient(X))))&
((?[X]:(humble(X)))=>((~creative(susan)<~>~happy(susan))))&
(((~patient(joh... | ~brave(lucy) | [] | null | 0 |
Everyone who is both wise and humble is not generous and vice versa. Everyone who is rich or not wise is both kind and not patient and vice versa. Everyone who is either not quiet or old is not brave or not creative. Everyone who is not happy is either not patient or not calm and vice versa. If someone is humble then p... | Mary is not happy. | neutral | (![X]:((wise(X)&humble(X))<=>~generous(X)))&
(![X]:((rich(X)|~wise(X))<=>(kind(X)&~patient(X))))&
(![X]:((~quiet(X)<~>old(X))=>(~brave(X)|~creative(X))))&
(![X]:(~happy(X)<=>(~patient(X)<~>~calm(X))))&
((?[X]:(humble(X)))=>((brave(paul)<~>creative(paul))))&
(![X]:(~patient(X)<=>(~wise(X)|wise(X))))&
(((generous(lucy)&t... | ~happy(mary) | [] | null | 0 |
Everyone who is not happy is both not calm and patient and vice versa.
If someone is both happy and not curious then someone is both not rich and not brave and vice versa.
Everyone who is both not funny and happy is either not tall or old and vice versa.
If someone is either kind or not humble then someone is strong.
E... | Susan is not humble. | neutral | (![X]:(~happy(X)<=>(~calm(X)&patient(X))))&
((?[X]:((happy(X)&~curious(X))))<=>(?[X]:((~rich(X)&~brave(X)))))&
(![X]:((~funny(X)&happy(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((kind(X)<~>~humble(X))))=>(?[X]:(strong(X))))&
(![X]:((~humble(X)&humble(X))<=>(kind(X)&tall(X))))&
((wise(lucy))<=>((~creative(susan)<~>rich(susan)... | ~humble(susan) | [] | null | 0 |
If someone is not happy then paul is either creative or brave.
If someone is either calm or curious then lucy is funny and vice versa.
Everyone who is either not strong or tall is not funny.
If alice is either not quiet or not creative then lucy is both not funny and not calm and vice versa.
If someone is either not cr... | Mary is not rich. | neutral | ((?[X]:(~happy(X)))=>((creative(paul)<~>brave(paul))))&
((?[X]:((calm(X)<~>curious(X))))<=>(funny(lucy)))&
(![X]:((~strong(X)<~>tall(X))=>~funny(X)))&
(((~quiet(alice)<~>~creative(alice)))<=>((~funny(lucy)&~calm(lucy))))&
((?[X]:((~creative(X)<~>~happy(X))))=>(?[X]:((brave(X)|kind(X)))))&
((~calm(lucy))<=>(?[X]:(~brave... | ~rich(mary) | [] | null | 0 |
If mary is not creative then john is either generous or calm.
Everyone who is either not humble or patient is both kind and patient and vice versa.
If someone is both not calm and not kind then mary is both not happy and brave and vice versa.
If fred is both wise and calm then someone is both not brave and not patient ... | Susan is patient. | entailment | ((~creative(mary))=>((generous(john)<~>calm(john))))&
(![X]:((~humble(X)<~>patient(X))<=>(kind(X)&patient(X))))&
((?[X]:((~calm(X)&~kind(X))))<=>((~happy(mary)&brave(mary))))&
(((wise(fred)&calm(fred)))<=>(?[X]:((~brave(X)&~patient(X)))))&
(![X]:((~patient(X)|strong(X))<=>(~patient(X)&~brave(X))))&
((?[X]:((~happy(X)<~... | patient(susan) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1788749066710377859824858
% SZS output start Proof for 1788749066710377859824858
5. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (~brave(X0) & ~patient(X0))) [input p4]
17. brave(susan) & happy(susan) [input p16]
25. ~patient(susan) [input hypothesis]
50. ! [X0] : (((strong(X0) | ~patient(X0... | 0 |
If someone is both not strong and not funny then john is either rich or not generous.
If someone is both strong and not old then someone is both funny and generous and vice versa.
If someone is not happy or not strong then someone is both kind and not strong.
Everyone who is either happy or brave is brave.
If paul is w... | Susan is not old. | contradiction | ((?[X]:((~strong(X)&~funny(X))))=>((rich(john)<~>~generous(john))))&
((?[X]:((strong(X)&~old(X))))<=>(?[X]:((funny(X)&generous(X)))))&
((?[X]:((~happy(X)|~strong(X))))=>(?[X]:((kind(X)&~strong(X)))))&
(![X]:((happy(X)<~>brave(X))=>brave(X)))&
(((wise(paul)|rich(paul)))<=>(?[X]:((quiet(X)|~happy(X)))))&
(((kind(lucy)|~r... | ~old(susan) | [
"p7",
"p9",
"p10",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5445364308477779564895314
% SZS output start Proof for 5445364308477779564895314
8. ! [X0] : ((~kind(X0) | humble(X0)) => (brave(X0) & creative(X0))) [input p7]
10. ! [X0] : ((curious(X0) & calm(X0)) <=> (~funny(X0) <~> curious(X0))) [input p9]
11. ! [X0] : (~curious(X0) <=> (brave(X0) & ... | 0 |
If alice is either brave or not old then alice is both strong and rich. If mary is not old then alice is not strong or kind and vice versa. If lucy is patient or brave then someone is not tall. Everyone who is not tall or not generous is tall or not generous and vice versa. Everyone who is not rich is either funny or h... | Alice is strong. | entailment | (((brave(alice)<~>~old(alice)))=>((strong(alice)&rich(alice))))&
((~old(mary))<=>((~strong(alice)|kind(alice))))&
(((patient(lucy)|brave(lucy)))=>(?[X]:(~tall(X))))&
(![X]:((~tall(X)|~generous(X))<=>(tall(X)|~generous(X))))&
(![X]:(~rich(X)<=>(funny(X)<~>happy(X))))&
((?[X]:((humble(X)&rich(X))))=>((brave(john)&generou... | strong(alice) | [
"p4",
"p6",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1320603559786688308922515
% SZS output start Proof for 1320603559786688308922515
5. ! [X0] : (~rich(X0) <=> (funny(X0) <~> happy(X0))) [input p4]
7. ! [X0] : (~funny(X0) <=> (happy(X0) <~> strong(X0))) [input p6]
17. ~funny(alice) [input p16]
20. wise(alice) & rich(alice) [input p19]
24. ... | 0 |
If paul is not old or rich then someone is either not creative or creative and vice versa. Everyone who is patient or not creative is not kind. Everyone who is both not wise and generous is both not happy and not patient and vice versa. If someone is both not curious and quiet then someone is both funny and calm. Every... | Fred is not humble. | neutral | (((~old(paul)|rich(paul)))<=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:((patient(X)|~creative(X))=>~kind(X)))&
(![X]:((~wise(X)&generous(X))<=>(~happy(X)&~patient(X))))&
((?[X]:((~curious(X)&quiet(X))))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(quiet(X)<=>(~tall(X)<~>quiet(X))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~crea... | ~humble(fred) | [] | null | 0 |
Everyone who is either kind or quiet is quiet. If lucy is either quiet or humble then susan is old and vice versa. Everyone who is either calm or curious is not curious or old and vice versa. Everyone who is not wise or not tall is not rich. Everyone who is either not patient or quiet is not brave or not happy and vice... | Lucy is not kind. | entailment | (![X]:((kind(X)<~>quiet(X))=>quiet(X)))&
(((quiet(lucy)<~>humble(lucy)))<=>(old(susan)))&
(![X]:((calm(X)<~>curious(X))<=>(~curious(X)|old(X))))&
(![X]:((~wise(X)|~tall(X))=>~rich(X)))&
(![X]:((~patient(X)<~>quiet(X))<=>(~brave(X)|~happy(X))))&
(![X]:(curious(X)<=>(tall(X)|creative(X))))&
(![X]:((funny(X)&~wise(X))<=>(... | ~kind(lucy) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4376903084657855217183276
% SZS output start Proof for 4376903084657855217183276
1. ! [X0] : ((kind(X0) <~> quiet(X0)) => quiet(X0)) [input p0]
21. ~quiet(lucy) [input p20]
24. kind(lucy) [input hypothesis]
26. ! [X0] : (quiet(X0) | (kind(X0) <=> quiet(X0))) [ennf transformation 1]
32. ! ... | 0 |
If alice is both happy and old then someone is not calm and vice versa. Everyone who is either not brave or quiet is both happy and not creative. If mary is either not kind or old then john is not brave and vice versa. Everyone who is calm or not creative is both not funny and not humble and vice versa. Everyone who is... | Mary is not happy. | neutral | (((happy(alice)&old(alice)))<=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)<~>quiet(X))=>(happy(X)&~creative(X))))&
(((~kind(mary)<~>old(mary)))<=>(~brave(john)))&
(![X]:((calm(X)|~creative(X))<=>(~funny(X)&~humble(X))))&
(![X]:((old(X)&~curious(X))=>(~quiet(X)|~wise(X))))&
(![X]:((humble(X)&generous(X))=>(calm(X)&~funny(X)))... | ~happy(mary) | [] | null | 0 |
Everyone who is either not generous or not quiet is not old or not curious. Everyone who is either creative or rich is not rich and vice versa. If lucy is rich then alice is both not old and not funny. If someone is not old or not wise then lucy is kind. Everyone who is not wise or brave is both not generous and not cu... | Alice is generous. | contradiction | (![X]:((~generous(X)<~>~quiet(X))=>(~old(X)|~curious(X))))&
(![X]:((creative(X)<~>rich(X))<=>~rich(X)))&
((rich(lucy))=>((~old(alice)&~funny(alice))))&
((?[X]:((~old(X)|~wise(X))))=>(kind(lucy)))&
(![X]:((~wise(X)|brave(X))=>(~generous(X)&~curious(X))))&
(((strong(lucy)&tall(lucy)))<=>(?[X]:((~strong(X)<~>~brave(X)))))... | generous(alice) | [
"p1",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4939720766668041868142714
% SZS output start Proof for 4939720766668041868142714
2. ! [X0] : ((creative(X0) <~> rich(X0)) <=> ~rich(X0)) [input p1]
5. ! [X0] : ((brave(X0) | ~wise(X0)) => (~curious(X0) & ~generous(X0))) [input p4]
11. ! [X0] : ((brave(X0) & old(X0)) <=> (creative(X0) <~> ... | 0 |
If john is not humble then lucy is wise and vice versa.
Everyone who is funny is both kind and not funny and vice versa.
If someone is not rich then alice is either happy or wise and vice versa.
Everyone who is not humble is patient and vice versa.
Everyone who is both funny and not wise is not generous and vice versa.... | Mary is patient. | entailment | ((~humble(john))<=>(wise(lucy)))&
(![X]:(funny(X)<=>(kind(X)&~funny(X))))&
((?[X]:(~rich(X)))<=>((happy(alice)<~>wise(alice))))&
(![X]:(~humble(X)<=>patient(X)))&
(![X]:((funny(X)&~wise(X))<=>~generous(X)))&
(((~funny(paul)<~>humble(paul)))=>(~tall(mary)))&
(![X]:((tall(X)|~quiet(X))=>(tall(X)<~>~happy(X))))&
((?[X]:((... | patient(mary) | [
"p3",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1209093638362499249360529
% SZS output start Proof for 1209093638362499249360529
4. ! [X0] : (~humble(X0) <=> patient(X0)) [input p3]
9. ! [X0] : ((tall(X0) | calm(X0)) => ~tall(X0)) [input p8]
13. ! [X0] : ((old(X0) <~> ~old(X0)) <=> (~tall(X0) <~> humble(X0))) [input p12]
21. ~patient(m... | 0 |
Everyone who is either generous or curious is wise.
If paul is either brave or not brave then someone is not wise or old.
If someone is not curious or quiet then alice is either humble or not kind and vice versa.
If someone is not happy then someone is humble.
If someone is not tall or not brave then someone is both no... | Paul is not patient. | entailment | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(((brave(paul)<~>~brave(paul)))=>(?[X]:((~wise(X)|old(X)))))&
((?[X]:((~curious(X)|quiet(X))))<=>((humble(alice)<~>~kind(alice))))&
((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((~tall(X)|~brave(X))))<=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((creative(X)|wise(X))=>quiet(X... | ~patient(paul) | [
"p0",
"p4",
"p5",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1563805060347573301478518
% SZS output start Proof for 1563805060347573301478518
1. ! [X0] : ((generous(X0) <~> curious(X0)) => wise(X0)) [input p0]
5. ? [X0] : (~brave(X0) | ~tall(X0)) <=> ? [X0] : (wise(X0) & ~tall(X0)) [input p4]
6. ! [X0] : ((wise(X0) | creative(X0)) => quiet(X0)) [in... | 0 |
Everyone who is not old is not tall or calm and vice versa.
If fred is either not generous or tall then someone is not creative.
Everyone who is either not kind or funny is not funny.
Everyone who is not patient or old is not brave or quiet and vice versa.
If someone is creative or generous then someone is either not s... | Fred is not happy. | neutral | (![X]:(~old(X)<=>(~tall(X)|calm(X))))&
(((~generous(fred)<~>tall(fred)))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>funny(X))=>~funny(X)))&
(![X]:((~patient(X)|old(X))<=>(~brave(X)|quiet(X))))&
((?[X]:((creative(X)|generous(X))))<=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:((~happy(X)|~curious(X))<=>(generous(X)<~>... | ~happy(fred) | [] | null | 0 |
Everyone who is both not rich and old is both not happy and not rich and vice versa.
Everyone who is brave is happy or not quiet and vice versa.
Everyone who is strong is both wise and generous and vice versa.
Everyone who is rich is not kind or not strong and vice versa.
If lucy is both humble and curious then mary is... | Alice is funny. | neutral | (![X]:((~rich(X)&old(X))<=>(~happy(X)&~rich(X))))&
(![X]:(brave(X)<=>(happy(X)|~quiet(X))))&
(![X]:(strong(X)<=>(wise(X)&generous(X))))&
(![X]:(rich(X)<=>(~kind(X)|~strong(X))))&
(((humble(lucy)&curious(lucy)))<=>((patient(mary)|tall(mary))))&
(![X]:(~tall(X)=>(quiet(X)|patient(X))))&
((~kind(paul))<=>((~tall(john)|cal... | funny(alice) | [] | null | 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... | Fred is not funny. | contradiction | (![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... | ~funny(fred) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7132193270575893566478155
% SZS output start Proof for 7132193270575893566478155
11. (~kind(fred) & funny(fred)) <=> ? [X0] : (calm(X0) | ~humble(X0)) [input p10]
21. quiet(fred) & ~humble(fred) [input p20]
24. ~funny(fred) [input hypothesis]
48. ((~kind(fred) & funny(fred)) | ! [X0] : (~... | 0 |
Everyone who is kind or brave is both curious and not brave and vice versa.
Everyone who is both not kind and patient is rich and vice versa.
If someone is not patient then someone is not patient or creative.
Everyone who is both not patient and curious is not tall or not quiet and vice versa.
Everyone who is not funny... | Susan is not wise. | entailment | (![X]:((kind(X)|brave(X))<=>(curious(X)&~brave(X))))&
(![X]:((~kind(X)&patient(X))<=>rich(X)))&
((?[X]:(~patient(X)))=>(?[X]:((~patient(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)<... | ~wise(susan) | [
"p1",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6880380641577237860931623
% SZS output start Proof for 6880380641577237860931623
2. ! [X0] : ((patient(X0) & ~kind(X0)) <=> rich(X0)) [input p1]
7. ! [X0] : ((humble(X0) <~> ~rich(X0)) <=> (~wise(X0) & generous(X0))) [input p6]
11. ? [X0] : (~humble(X0) <~> ~rich(X0)) => (~patient(john) &... | 0 |
If someone is not curious or not patient then lucy is happy and vice versa.
Everyone who is not curious or not happy is patient or generous.
Everyone who is not curious is not rich or not generous and vice versa.
Everyone who is not humble is both not tall and not wise and vice versa.
If susan is not creative then some... | Lucy is creative. | neutral | ((?[X]:((~curious(X)|~patient(X))))<=>(happy(lucy)))&
(![X]:((~curious(X)|~happy(X))=>(patient(X)|generous(X))))&
(![X]:(~curious(X)<=>(~rich(X)|~generous(X))))&
(![X]:(~humble(X)<=>(~tall(X)&~wise(X))))&
((~creative(susan))<=>(?[X]:((rich(X)<~>old(X)))))&
((?[X]:((humble(X)<~>~rich(X))))=>((calm(mary)<~>rich(mary))))&... | creative(lucy) | [] | null | 0 |
Everyone who is not calm or patient is generous and vice versa.
Everyone who is wise or not old is both not happy and wise and vice versa.
If fred is not calm or not old then susan is either rich or quiet.
If susan is generous or not generous then someone is either strong or not creative.
Everyone who is not brave or b... | Susan is not curious. | contradiction | (![X]:((~calm(X)|patient(X))<=>generous(X)))&
(![X]:((wise(X)|~old(X))<=>(~happy(X)&wise(X))))&
(((~calm(fred)|~old(fred)))=>((rich(susan)<~>quiet(susan))))&
(((generous(susan)|~generous(susan)))=>(?[X]:((strong(X)<~>~creative(X)))))&
(![X]:((~brave(X)|brave(X))=>(~strong(X)&~humble(X))))&
((?[X]:((~brave(X)<~>generous... | ~curious(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6950700534829151978336431
% SZS output start Proof for 6950700534829151978336431
10. ! [X0] : ((~curious(X0) <~> ~old(X0)) <=> ~old(X0)) [input p9]
23. ~curious(susan) [input hypothesis]
50. ! [X0] : ((((old(X0) | curious(X0)) & (~old(X0) | ~curious(X0))) | old(X0)) & (~old(X0) | ((~curio... | 0 |
If alice is brave then fred is both old and brave.
Everyone who is not kind is happy.
Everyone who is not calm is either patient or not strong and vice versa.
Everyone who is both not kind and generous is not quiet or rich and vice versa.
If mary is either calm or rich then john is both not kind and rich and vice versa... | Susan is funny. | neutral | ((brave(alice))=>((old(fred)&brave(fred))))&
(![X]:(~kind(X)=>happy(X)))&
(![X]:(~calm(X)<=>(patient(X)<~>~strong(X))))&
(![X]:((~kind(X)&generous(X))<=>(~quiet(X)|rich(X))))&
(((calm(mary)<~>rich(mary)))<=>((~kind(john)&rich(john))))&
((~rich(mary))=>((~quiet(susan)&tall(susan))))&
(![X]:(~quiet(X)=>(tall(X)&old(X))))... | funny(susan) | [] | null | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is either rich or tall then susan is both rich and tall and vice versa.
If fred is either creative or calm then john is both patient and not funny and vice versa.
Everyone who is not calm or not humble is not happy or generous and vice versa.
Ev... | Mary is not funny. | contradiction | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((rich(X)<~>tall(X))))<=>((rich(susan)&tall(susan))))&
(((creative(fred)<~>calm(fred)))<=>((patient(john)&~funny(john))))&
(![X]:((~calm(X)|~humble(X))<=>(~happy(X)|generous(X))))&
(![X]:((generous(X)&~brave(X))<=>(~patient(X)|~quiet(X))))&
(![X]:(~quiet(X)<=>... | ~funny(mary) | [
"p0",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 26745653695188131351211
% SZS output start Proof for 26745653695188131351211
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
10. ! [X0] : (~wise(X0) <=> funny(X0)) [input p9]
18. rich(mary) [input p17]
25. ~funny(mary) [input hypothesis]
28. ! [X0] : ((~calm(... | 0 |
Everyone who is either not patient or patient is strong.
Everyone who is not strong is both not tall and creative and vice versa.
If someone is either happy or not funny then someone is not happy or not tall and vice versa.
If alice is either humble or not tall then someone is happy and vice versa.
Everyone who is both... | Mary is not tall. | contradiction | (![X]:((~patient(X)<~>patient(X))=>strong(X)))&
(![X]:(~strong(X)<=>(~tall(X)&creative(X))))&
((?[X]:((happy(X)<~>~funny(X))))<=>(?[X]:((~happy(X)|~tall(X)))))&
(((humble(alice)<~>~tall(alice)))<=>(?[X]:(happy(X))))&
(![X]:((~old(X)&~calm(X))<=>creative(X)))&
(![X]:((happy(X)|creative(X))<=>(creative(X)&brave(X))))&
((... | ~tall(mary) | [
"p4",
"p5",
"p6",
"p11",
"p14",
"p15",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2846279979745087065845207
% SZS output start Proof for 2846279979745087065845207
5. ! [X0] : ((~calm(X0) & ~old(X0)) <=> creative(X0)) [input p4]
6. ! [X0] : ((creative(X0) | happy(X0)) <=> (brave(X0) & creative(X0))) [input p5]
7. ? [X0] : brave(X0) => (~brave(mary) & curious(mary)) [inp... | 0 |
If lucy is not brave then someone is not wise. Everyone who is both wise and not happy is patient or not brave and vice versa. If alice is brave then lucy is not humble or not patient. If susan is both not rich and strong then someone is both not brave and not funny. If someone is not old then john is either brave or h... | Mary is curious. | entailment | ((~brave(lucy))=>(?[X]:(~wise(X))))&
(![X]:((wise(X)&~happy(X))<=>(patient(X)|~brave(X))))&
((brave(alice))=>((~humble(lucy)|~patient(lucy))))&
(((~rich(susan)&strong(susan)))=>(?[X]:((~brave(X)&~funny(X)))))&
((?[X]:(~old(X)))=>((brave(john)<~>happy(john))))&
(![X]:(wise(X)=>(curious(X)<~>old(X))))&
(![X]:((~patient(X... | curious(mary) | [
"p1",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8322173502088123292973549
% SZS output start Proof for 8322173502088123292973549
2. ! [X0] : ((~happy(X0) & wise(X0)) <=> (~brave(X0) | patient(X0))) [input p1]
7. ! [X0] : ((wise(X0) | ~patient(X0)) <=> (strong(X0) & humble(X0))) [input p6]
13. ~curious(mary) => (~humble(alice) & tall(al... | 0 |
Everyone who is either kind or calm is quiet and vice versa. Everyone who is funny or not kind is happy. If susan is either not strong or brave then susan is not tall or not brave. If fred is not humble then alice is quiet or not wise and vice versa. If john is either old or not calm then mary is either strong or tall.... | Mary is not patient. | contradiction | (![X]:((kind(X)<~>calm(X))<=>quiet(X)))&
(![X]:((funny(X)|~kind(X))=>happy(X)))&
(((~strong(susan)<~>brave(susan)))=>((~tall(susan)|~brave(susan))))&
((~humble(fred))<=>((quiet(alice)|~wise(alice))))&
(((old(john)<~>~calm(john)))=>((strong(mary)<~>tall(mary))))&
(((~wise(lucy)|~rich(lucy)))=>((~funny(mary)<~>creative(m... | ~patient(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7258162844290687432176680
% SZS output start Proof for 7258162844290687432176680
18. patient(mary) [input p17]
24. ~patient(mary) [input hypothesis]
116. patient(mary) [cnf transformation 18]
125. ~patient(mary) [cnf transformation 24]
282. $false [subsumption resolution 125,116]
% SZS ou... | 0 |
Everyone who is both not quiet and not generous is either patient or rich and vice versa. Everyone who is generous or not funny is either calm or not brave. Everyone who is either brave or rich is not calm. Everyone who is not wise or brave is both happy and rich. If mary is funny then susan is both brave and not rich.... | Susan is rich. | entailment | (![X]:((~quiet(X)&~generous(X))<=>(patient(X)<~>rich(X))))&
(![X]:((generous(X)|~funny(X))=>(calm(X)<~>~brave(X))))&
(![X]:((brave(X)<~>rich(X))=>~calm(X)))&
(![X]:((~wise(X)|brave(X))=>(happy(X)&rich(X))))&
((funny(mary))=>((brave(susan)&~rich(susan))))&
(![X]:((~curious(X)<~>old(X))=>(rich(X)&~old(X))))&
(((~happy(al... | rich(susan) | [
"p0",
"p3",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4775631733330216122513245
% SZS output start Proof for 4775631733330216122513245
1. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (patient(X0) <~> rich(X0))) [input p0]
4. ! [X0] : ((brave(X0) | ~wise(X0)) => (rich(X0) & happy(X0))) [input p3]
8. ! [X0] : (~quiet(X0) <=> brave(X0)) [input p7... | 0 |
Everyone who is both old and not creative is both rich and generous and vice versa. Everyone who is not patient or not happy is funny. Everyone who is either not strong or happy is both old and calm. Everyone who is either not brave or tall is both rich and not patient. Everyone who is either strong or not curious is e... | Lucy is not rich. | entailment | (![X]:((old(X)&~creative(X))<=>(rich(X)&generous(X))))&
(![X]:((~patient(X)|~happy(X))=>funny(X)))&
(![X]:((~strong(X)<~>happy(X))=>(old(X)&calm(X))))&
(![X]:((~brave(X)<~>tall(X))=>(rich(X)&~patient(X))))&
(![X]:((strong(X)<~>~curious(X))<=>(funny(X)<~>quiet(X))))&
(![X]:((~curious(X)&tall(X))<=>(quiet(X)|~creative(X)... | ~rich(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 59417550562449262199781
% SZS output start Proof for 59417550562449262199781
1. ! [X0] : ((~creative(X0) & old(X0)) <=> (generous(X0) & rich(X0))) [input p0]
2. ! [X0] : ((~happy(X0) | ~patient(X0)) => funny(X0)) [input p1]
4. ! [X0] : ((~brave(X0) <~> tall(X0)) => (~patient(X0) & rich(X0... | 0 |
If someone is both not patient and brave then susan is kind or wise and vice versa.
If paul is either funny or brave then mary is not calm or tall.
Everyone who is not humble is both wise and strong.
If susan is both curious and happy then someone is patient or creative.
If paul is brave or tall then someone is calm an... | Susan is curious. | neutral | ((?[X]:((~patient(X)&brave(X))))<=>((kind(susan)|wise(susan))))&
(((funny(paul)<~>brave(paul)))=>((~calm(mary)|tall(mary))))&
(![X]:(~humble(X)=>(wise(X)&strong(X))))&
(((curious(susan)&happy(susan)))=>(?[X]:((patient(X)|creative(X)))))&
(((brave(paul)|tall(paul)))<=>(?[X]:(calm(X))))&
(![X]:(~tall(X)=>(strong(X)<~>old... | curious(susan) | [] | null | 0 |
If someone is not wise then paul is old or calm.
If someone is both not wise and creative then someone is both not curious and not creative.
Everyone who is both wise and not quiet is creative and vice versa.
If someone is rich then someone is both not brave and creative and vice versa.
If alice is not tall then mary i... | John is not creative. | entailment | ((?[X]:(~wise(X)))=>((old(paul)|calm(paul))))&
((?[X]:((~wise(X)&creative(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
(![X]:((wise(X)&~quiet(X))<=>creative(X)))&
((?[X]:(rich(X)))<=>(?[X]:((~brave(X)&creative(X)))))&
((~tall(alice))<=>((wise(mary)<~>curious(mary))))&
(![X]:((~patient(X)&calm(X))<=>strong(X)))&
(![X]:(... | ~creative(john) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1418208955222011299493631
% SZS output start Proof for 1418208955222011299493631
3. ! [X0] : ((~quiet(X0) & wise(X0)) <=> creative(X0)) [input p2]
11. ! [X0] : ((curious(X0) & ~quiet(X0)) <=> ~curious(X0)) [input p10]
24. creative(john) [input hypothesis]
36. ! [X0] : (((~quiet(X0) & wise... | 0 |
Everyone who is either brave or humble is both funny and humble.
If susan is either quiet or not old then alice is either curious or wise.
If someone is both generous and strong then someone is either not calm or not rich.
If paul is rich or funny then someone is strong or not strong and vice versa.
If someone is eithe... | Susan is humble. | entailment | (![X]:((brave(X)<~>humble(X))=>(funny(X)&humble(X))))&
(((quiet(susan)<~>~old(susan)))=>((curious(alice)<~>wise(alice))))&
((?[X]:((generous(X)&strong(X))))=>(?[X]:((~calm(X)<~>~rich(X)))))&
(((rich(paul)|funny(paul)))<=>(?[X]:((strong(X)|~strong(X)))))&
((?[X]:((humble(X)<~>~patient(X))))=>((creative(fred)&~funny(fred... | humble(susan) | [
"p4",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8859093210920898640539734
% SZS output start Proof for 8859093210920898640539734
5. ? [X0] : (humble(X0) <~> ~patient(X0)) => (~funny(fred) & creative(fred)) [input p4]
12. ! [X0] : ((~patient(X0) & kind(X0)) <=> (~humble(X0) | tall(X0))) [input p11]
13. ! [X0] : ((generous(X0) | ~funny(X... | 0 |
Everyone who is both humble and not happy is both not wise and old.
Everyone who is either quiet or happy is not wise or not curious and vice versa.
If someone is either generous or curious then john is happy and vice versa.
If mary is either curious or brave then someone is tall or not calm.
Everyone who is either kin... | Fred is kind. | contradiction | (![X]:((humble(X)&~happy(X))=>(~wise(X)&old(X))))&
(![X]:((quiet(X)<~>happy(X))<=>(~wise(X)|~curious(X))))&
((?[X]:((generous(X)<~>curious(X))))<=>(happy(john)))&
(((curious(mary)<~>brave(mary)))=>(?[X]:((tall(X)|~calm(X)))))&
(![X]:((kind(X)<~>~strong(X))=>(humble(X)|~strong(X))))&
(![X]:((~patient(X)&calm(X))=>calm(X... | kind(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3086848628200334482811690
% SZS output start Proof for 3086848628200334482811690
13. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> ~kind(X0)) [input p12]
25. kind(fred) [input hypothesis]
60. ! [X0] : ((((~quiet(X0) | quiet(X0)) & (quiet(X0) | ~quiet(X0))) | kind(X0)) & (~kind(X0) | ((~quiet(X... | 0 |
Everyone who is wise or not brave is either old or funny.
Everyone who is funny or brave is both not happy and happy.
Everyone who is either calm or tall is not funny or not kind.
If someone is tall then susan is generous.
If someone is both tall and brave then lucy is either old or not patient.
Everyone who is not cal... | Mary is old. | entailment | (![X]:((wise(X)|~brave(X))=>(old(X)<~>funny(X))))&
(![X]:((funny(X)|brave(X))=>(~happy(X)&happy(X))))&
(![X]:((calm(X)<~>tall(X))=>(~funny(X)|~kind(X))))&
((?[X]:(tall(X)))=>(generous(susan)))&
((?[X]:((tall(X)&brave(X))))=>((old(lucy)<~>~patient(lucy))))&
(![X]:(~calm(X)<=>quiet(X)))&
((funny(john))<=>(~wise(paul)))&
... | old(mary) | [
"p0",
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5040479323919081137113721
% SZS output start Proof for 5040479323919081137113721
1. ! [X0] : ((~brave(X0) | wise(X0)) => (old(X0) <~> funny(X0))) [input p0]
2. ! [X0] : ((brave(X0) | funny(X0)) => (happy(X0) & ~happy(X0))) [input p1]
16. ! [X0] : ((funny(X0) <~> rich(X0)) <=> (~rich(X0) &... | 0 |
Everyone who is quiet or tall is either strong or generous.
If john is both tall and quiet then paul is creative and vice versa.
Everyone who is not generous or strong is both not strong and not quiet.
Everyone who is either funny or not quiet is either not rich or not kind.
Everyone who is not creative or not patient ... | Fred is not tall. | contradiction | (![X]:((quiet(X)|tall(X))=>(strong(X)<~>generous(X))))&
(((tall(john)&quiet(john)))<=>(creative(paul)))&
(![X]:((~generous(X)|strong(X))=>(~strong(X)&~quiet(X))))&
(![X]:((funny(X)<~>~quiet(X))=>(~rich(X)<~>~kind(X))))&
(![X]:((~creative(X)|~patient(X))=>(~funny(X)<~>~humble(X))))&
(![X]:(~tall(X)<=>(tall(X)&~kind(X)))... | ~tall(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6441496802633647714755314
% SZS output start Proof for 6441496802633647714755314
6. ! [X0] : (~tall(X0) <=> (~kind(X0) & tall(X0))) [input p5]
24. ~tall(fred) [input hypothesis]
41. ! [X0] : ((~tall(X0) | (kind(X0) | ~tall(X0))) & ((~kind(X0) & tall(X0)) | tall(X0))) [nnf transformation 6... | 0 |
Everyone who is brave or not wise is either creative or not old and vice versa. Everyone who is either not wise or not funny is both kind and creative. Everyone who is either funny or not wise is strong or humble and vice versa. Everyone who is quiet or funny is both humble and brave and vice versa. Everyone who is not... | Paul is not rich. | neutral | (![X]:((brave(X)|~wise(X))<=>(creative(X)<~>~old(X))))&
(![X]:((~wise(X)<~>~funny(X))=>(kind(X)&creative(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(strong(X)|humble(X))))&
(![X]:((quiet(X)|funny(X))<=>(humble(X)&brave(X))))&
(![X]:(~patient(X)<=>(rich(X)|~tall(X))))&
((?[X]:((funny(X)&generous(X))))=>((strong(lucy)&~brave(... | ~rich(paul) | [] | null | 0 |
Everyone who is both not curious and strong is not funny and vice versa.
Everyone who is both not creative and calm is not brave or not kind.
If alice is generous or not calm then someone is both not funny and quiet and vice versa.
Everyone who is not strong or curious is either kind or happy and vice versa.
Everyone w... | Mary is not funny. | neutral | (![X]:((~curious(X)&strong(X))<=>~funny(X)))&
(![X]:((~creative(X)&calm(X))=>(~brave(X)|~kind(X))))&
(((generous(alice)|~calm(alice)))<=>(?[X]:((~funny(X)&quiet(X)))))&
(![X]:((~strong(X)|curious(X))<=>(kind(X)<~>happy(X))))&
(![X]:((happy(X)&~humble(X))<=>(~brave(X)|~humble(X))))&
(![X]:((curious(X)&rich(X))=>generous... | ~funny(mary) | [] | null | 0 |
If someone is creative or not tall then someone is either not rich or not kind and vice versa.
If alice is not strong or wise then someone is both not strong and funny.
Everyone who is not strong is not funny or not calm.
If someone is both not generous and kind then someone is funny and vice versa.
If susan is happy o... | Alice is not curious. | entailment | ((?[X]:((creative(X)|~tall(X))))<=>(?[X]:((~rich(X)<~>~kind(X)))))&
(((~strong(alice)|wise(alice)))=>(?[X]:((~strong(X)&funny(X)))))&
(![X]:(~strong(X)=>(~funny(X)|~calm(X))))&
((?[X]:((~generous(X)&kind(X))))<=>(?[X]:(funny(X))))&
(((happy(susan)|~creative(susan)))<=>(?[X]:((~happy(X)<~>tall(X)))))&
(![X]:((~creative(... | ~curious(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6101347726781564732638860
% SZS output start Proof for 6101347726781564732638860
20. ~curious(alice) & tall(alice) [input p19]
25. curious(alice) [input hypothesis]
155. ~curious(alice) [cnf transformation 20]
160. curious(alice) [cnf transformation 25]
382. $false [subsumption resolution... | 0 |
Everyone who is either not creative or not generous is not creative or not rich and vice versa.
If someone is both not humble and rich then someone is funny.
If someone is not brave then someone is both not curious and calm and vice versa.
Everyone who is not brave or rich is both not quiet and not calm.
Everyone who i... | Paul is not funny. | entailment | (![X]:((~creative(X)<~>~generous(X))<=>(~creative(X)|~rich(X))))&
((?[X]:((~humble(X)&rich(X))))=>(?[X]:(funny(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((~curious(X)&calm(X)))))&
(![X]:((~brave(X)|rich(X))=>(~quiet(X)&~calm(X))))&
(![X]:((quiet(X)|~creative(X))<=>(~quiet(X)&kind(X))))&
((?[X]:((curious(X)|funny(X))))<=>((cal... | ~funny(paul) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8479012282643306385360973
% SZS output start Proof for 8479012282643306385360973
4. ! [X0] : ((rich(X0) | ~brave(X0)) => (~calm(X0) & ~quiet(X0))) [input p3]
6. ? [X0] : (funny(X0) | curious(X0)) <=> (~brave(mary) & calm(mary)) [input p5]
23. funny(paul) [input hypothesis]
29. ! [X0] : ((... | 0 |
Everyone who is not strong or not patient is both strong and calm. If fred is either tall or happy then someone is either not strong or not calm and vice versa. Everyone who is humble or not wise is both not generous and funny. If paul is not quiet or not kind then someone is either tall or wise and vice versa. Everyon... | John is humble. | neutral | (![X]:((~strong(X)|~patient(X))=>(strong(X)&calm(X))))&
(((tall(fred)<~>happy(fred)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
(![X]:((humble(X)|~wise(X))=>(~generous(X)&funny(X))))&
(((~quiet(paul)|~kind(paul)))<=>(?[X]:((tall(X)<~>wise(X)))))&
(![X]:((~rich(X)<~>~generous(X))=>(~generous(X)&~kind(X))))&
(![X]:((strong(X)... | humble(john) | [] | null | 0 |
Everyone who is brave is not funny or creative. Everyone who is happy or tall is either not funny or happy. If john is either not old or not patient then someone is quiet and vice versa. If someone is both not generous and happy then someone is not funny or creative and vice versa. Everyone who is not happy is either n... | John is funny. | entailment | (![X]:(brave(X)=>(~funny(X)|creative(X))))&
(![X]:((happy(X)|tall(X))=>(~funny(X)<~>happy(X))))&
(((~old(john)<~>~patient(john)))<=>(?[X]:(quiet(X))))&
((?[X]:((~generous(X)&happy(X))))<=>(?[X]:((~funny(X)|creative(X)))))&
(![X]:(~happy(X)<=>(~generous(X)<~>~old(X))))&
(((~brave(john)&~quiet(john)))=>(?[X]:((brave(X)&~... | funny(john) | [
"p1",
"p2",
"p4",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5711450746168784704319084
% SZS output start Proof for 5711450746168784704319084
2. ! [X0] : ((tall(X0) | happy(X0)) => (~funny(X0) <~> happy(X0))) [input p1]
3. (~old(john) <~> ~patient(john)) <=> ? [X0] : quiet(X0) [input p2]
5. ! [X0] : (~happy(X0) <=> (~generous(X0) <~> ~old(X0))) [in... | 0 |
If fred is generous or not old then someone is humble or not brave and vice versa.
If someone is both brave and strong then someone is not funny or creative.
Everyone who is not humble or old is not funny or funny and vice versa.
Everyone who is either not funny or not happy is either curious or not patient and vice ve... | Alice is not old. | contradiction | (((generous(fred)|~old(fred)))<=>(?[X]:((humble(X)|~brave(X)))))&
((?[X]:((brave(X)&strong(X))))=>(?[X]:((~funny(X)|creative(X)))))&
(![X]:((~humble(X)|old(X))<=>(~funny(X)|funny(X))))&
(![X]:((~funny(X)<~>~happy(X))<=>(curious(X)<~>~patient(X))))&
(![X]:((wise(X)|generous(X))=>curious(X)))&
(![X]:((~humble(X)&old(X))=... | ~old(alice) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 536081675056020924454393
% SZS output start Proof for 536081675056020924454393
3. ! [X0] : ((old(X0) | ~humble(X0)) <=> (funny(X0) | ~funny(X0))) [input p2]
15. ! [X0] : (humble(X0) <=> ~old(X0)) [input p14]
24. ~old(alice) [input hypothesis]
43. ! [X0] : (((old(X0) | ~humble(X0)) | (~fun... | 0 |
Everyone who is old or not strong is wise or not calm.
Everyone who is either not strong or happy is not quiet and vice versa.
Everyone who is humble is wise and vice versa.
If john is both not calm and not strong then susan is not curious.
Everyone who is both rich and creative is not wise.
Everyone who is not generou... | Fred is not curious. | neutral | (![X]:((old(X)|~strong(X))=>(wise(X)|~calm(X))))&
(![X]:((~strong(X)<~>happy(X))<=>~quiet(X)))&
(![X]:(humble(X)<=>wise(X)))&
(((~calm(john)&~strong(john)))=>(~curious(susan)))&
(![X]:((rich(X)&creative(X))=>~wise(X)))&
(![X]:((~generous(X)|~kind(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((tall(X)|~strong(X))=>(~kind(X)|~s... | ~curious(fred) | [] | null | 0 |
Everyone who is both not rich and curious is creative and vice versa.
If mary is both generous and old then lucy is quiet or curious.
Everyone who is not rich is both rich and not brave and vice versa.
Everyone who is not happy or not patient is both creative and not strong and vice versa.
Everyone who is calm or not s... | Fred is not kind. | contradiction | (![X]:((~rich(X)&curious(X))<=>creative(X)))&
(((generous(mary)&old(mary)))=>((quiet(lucy)|curious(lucy))))&
(![X]:(~rich(X)<=>(rich(X)&~brave(X))))&
(![X]:((~happy(X)|~patient(X))<=>(creative(X)&~strong(X))))&
(![X]:((calm(X)|~strong(X))<=>(~brave(X)<~>~rich(X))))&
((?[X]:((~strong(X)|~quiet(X))))=>((~quiet(fred)|~ric... | ~kind(fred) | [
"p2",
"p3",
"p4",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4379542938058649824331895
% SZS output start Proof for 4379542938058649824331895
3. ! [X0] : (~rich(X0) <=> (~brave(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | ~happy(X0)) <=> (~strong(X0) & creative(X0))) [input p3]
5. ! [X0] : ((~strong(X0) | calm(X0)) <=> (~brave(X0) <~> ~... | 0 |
Everyone who is either not funny or kind is either generous or tall.
If someone is either funny or not rich then someone is both curious and not creative and vice versa.
Everyone who is not humble is either happy or tall and vice versa.
Everyone who is either not old or not happy is both happy and creative.
If someone ... | Susan is strong. | contradiction | (![X]:((~funny(X)<~>kind(X))=>(generous(X)<~>tall(X))))&
((?[X]:((funny(X)<~>~rich(X))))<=>(?[X]:((curious(X)&~creative(X)))))&
(![X]:(~humble(X)<=>(happy(X)<~>tall(X))))&
(![X]:((~old(X)<~>~happy(X))=>(happy(X)&creative(X))))&
((?[X]:((brave(X)&strong(X))))<=>(curious(lucy)))&
((?[X]:(creative(X)))=>(?[X]:(funny(X))))... | strong(susan) | [
"p6",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5872298310622780352347827
% SZS output start Proof for 5872298310622780352347827
7. ! [X0] : (curious(X0) <=> ~rich(X0)) [input p6]
8. ! [X0] : ((~rich(X0) <~> ~funny(X0)) <=> (old(X0) | ~funny(X0))) [input p7]
13. ! [X0] : (generous(X0) => (calm(X0) & ~strong(X0))) [input p12]
15. genero... | 0 |
Everyone who is either not quiet or not rich is wise or old.
If someone is quiet then someone is both not quiet and not tall and vice versa.
Everyone who is both funny and curious is either not wise or patient and vice versa.
Everyone who is not humble or creative is not patient and vice versa.
Everyone who is either q... | Paul is not rich. | neutral | (![X]:((~quiet(X)<~>~rich(X))=>(wise(X)|old(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((~quiet(X)&~tall(X)))))&
(![X]:((funny(X)&curious(X))<=>(~wise(X)<~>patient(X))))&
(![X]:((~humble(X)|creative(X))<=>~patient(X)))&
(![X]:((quiet(X)<~>~wise(X))<=>(funny(X)&~creative(X))))&
(![X]:((~generous(X)|~tall(X))<=>(quiet(X)<~>~stron... | ~rich(paul) | [] | null | 0 |
If someone is quiet or kind then someone is quiet or not rich. Everyone who is either not rich or not creative is not creative and vice versa. If someone is not tall or not brave then someone is both not brave and not humble and vice versa. If susan is not old or wise then someone is not quiet or funny. If lucy is not ... | Fred is patient. | neutral | ((?[X]:((quiet(X)|kind(X))))=>(?[X]:((quiet(X)|~rich(X)))))&
(![X]:((~rich(X)<~>~creative(X))<=>~creative(X)))&
((?[X]:((~tall(X)|~brave(X))))<=>(?[X]:((~brave(X)&~humble(X)))))&
(((~old(susan)|wise(susan)))=>(?[X]:((~quiet(X)|funny(X)))))&
(((~tall(lucy)|creative(lucy)))<=>(?[X]:((~wise(X)<~>~curious(X)))))&
((?[X]:((... | patient(fred) | [] | null | 0 |
If fred is brave then someone is both tall and not brave and vice versa. Everyone who is patient or calm is creative or kind and vice versa. If someone is not old or strong then someone is rich or quiet. If someone is both not strong and not brave then john is happy. If someone is not generous then lucy is either not g... | Lucy is kind. | contradiction | ((brave(fred))<=>(?[X]:((tall(X)&~brave(X)))))&
(![X]:((patient(X)|calm(X))<=>(creative(X)|kind(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((rich(X)|quiet(X)))))&
((?[X]:((~strong(X)&~brave(X))))=>(happy(john)))&
((?[X]:(~generous(X)))<=>((~generous(lucy)<~>patient(lucy))))&
(![X]:((~tall(X)<~>~generous(X))=>(humble(X... | kind(lucy) | [
"p1",
"p4",
"p7",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3225564485776174221706839
% SZS output start Proof for 3225564485776174221706839
2. ! [X0] : ((calm(X0) | patient(X0)) <=> (kind(X0) | creative(X0))) [input p1]
5. ? [X0] : ~generous(X0) <=> (~generous(lucy) <~> patient(lucy)) [input p4]
8. ! [X0] : (~creative(X0) <=> (strong(X0) & quiet(... | 0 |
Everyone who is curious or kind is both curious and not brave. Everyone who is funny or quiet is not quiet and vice versa. If alice is curious then someone is calm and vice versa. Everyone who is both not humble and curious is either not funny or not calm and vice versa. If mary is either not wise or not creative then ... | Mary is not funny. | contradiction | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((curious(alice))<=>(?[X]:(calm(X))))&
(![X]:((~humble(X)&curious(X))<=>(~funny(X)<~>~calm(X))))&
(((~wise(mary)<~>~creative(mary)))=>(?[X]:(rich(X))))&
(![X]:((happy(X)<~>funny(X))<=>~tall(X)))&
((?[X]:((~creative(X)|humbl... | ~funny(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8445228750278190272133864
% SZS output start Proof for 8445228750278190272133864
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
25. ~funny(mary) [input hypothesis]
34. ! [X0] : (((quiet(X0) | funny(X0)) | quiet(X0)) & (~quiet(X0) | (~quiet(X0) & ~funny(X0)))) [nnf transfo... | 0 |
If someone is not strong then someone is either calm or not brave and vice versa.
If fred is wise or not tall then someone is not generous and vice versa.
Everyone who is patient is both wise and patient.
If someone is either old or not funny then someone is not strong and vice versa.
If someone is not wise or not curi... | Lucy is strong. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:((calm(X)<~>~brave(X)))))&
(((wise(fred)|~tall(fred)))<=>(?[X]:(~generous(X))))&
(![X]:(patient(X)=>(wise(X)&patient(X))))&
((?[X]:((old(X)<~>~funny(X))))<=>(?[X]:(~strong(X))))&
((?[X]:((~wise(X)|~curious(X))))<=>((~brave(lucy)&~strong(lucy))))&
(((~patient(susan)|strong(susan)))<=>((~happ... | strong(lucy) | [
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 71333455026242541662930
% SZS output start Proof for 71333455026242541662930
5. ? [X0] : (~curious(X0) | ~wise(X0)) <=> (~strong(lucy) & ~brave(lucy)) [input p4]
21. ? [X0] : (~wise(X0) & tall(X0)) [input p20]
25. strong(lucy) [input hypothesis]
56. (? [X0] : (~curious(X0) | ~wise(X0)) | ... | 0 |
If someone is curious or strong then fred is brave.
If someone is not humble or happy then someone is not brave or creative and vice versa.
Everyone who is generous or not tall is either kind or not strong.
If someone is not old then lucy is either not curious or not generous and vice versa.
Everyone who is either tall... | Lucy is brave. | contradiction | ((?[X]:((curious(X)|strong(X))))=>(brave(fred)))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((~brave(X)|creative(X)))))&
(![X]:((generous(X)|~tall(X))=>(kind(X)<~>~strong(X))))&
((?[X]:(~old(X)))<=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)<~>kind(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~strong(X))... | brave(lucy) | [
"p4",
"p5",
"p6",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7237035147529101119761607
% SZS output start Proof for 7237035147529101119761607
5. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p4]
6. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (old(X0) | ~patient(X0))) [input p5]
7. ! [X0] : ((calm(X0) <~> ~strong(X0)) <=> (k... | 0 |
If lucy is funny then someone is quiet or not kind.
If lucy is both not rich and quiet then someone is not humble and vice versa.
If fred is not quiet then susan is both tall and creative.
If someone is kind then someone is not generous.
If someone is either not funny or not wise then susan is not creative or funny.
Ev... | Alice is not kind. | contradiction | ((funny(lucy))=>(?[X]:((quiet(X)|~kind(X)))))&
(((~rich(lucy)&quiet(lucy)))<=>(?[X]:(~humble(X))))&
((~quiet(fred))=>((tall(susan)&creative(susan))))&
((?[X]:(kind(X)))=>(?[X]:(~generous(X))))&
((?[X]:((~funny(X)<~>~wise(X))))=>((~creative(susan)|funny(susan))))&
(![X]:((patient(X)<~>wise(X))<=>(kind(X)|funny(X))))&
(!... | ~kind(alice) | [
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2572029641817861477153963
% SZS output start Proof for 2572029641817861477153963
7. ! [X0] : ((~kind(X0) & creative(X0)) => strong(X0)) [input p6]
22. creative(alice) & ~strong(alice) [input p21]
24. ~kind(alice) [input hypothesis]
35. ! [X0] : (strong(X0) | (kind(X0) | ~creative(X0))) [e... | 0 |
If alice is creative or not calm then fred is humble or not quiet.
If alice is either humble or not humble then fred is not kind or humble.
Everyone who is curious or tall is both quiet and kind.
If someone is either happy or not creative then someone is not quiet or not strong.
Everyone who is not old is either not hu... | Paul is old. | neutral | (((creative(alice)|~calm(alice)))=>((humble(fred)|~quiet(fred))))&
(((humble(alice)<~>~humble(alice)))=>((~kind(fred)|humble(fred))))&
(![X]:((curious(X)|tall(X))=>(quiet(X)&kind(X))))&
((?[X]:((happy(X)<~>~creative(X))))=>(?[X]:((~quiet(X)|~strong(X)))))&
(![X]:(~old(X)=>(~humble(X)<~>old(X))))&
(![X]:((rich(X)<~>~pat... | old(paul) | [] | null | 0 |
Everyone who is not old or tall is quiet and vice versa. If someone is either calm or not curious then someone is not happy or strong and vice versa. If mary is not calm then someone is happy or patient. Everyone who is calm is either not wise or not calm and vice versa. Everyone who is strong or calm is either not fun... | Lucy is humble. | neutral | (![X]:((~old(X)|tall(X))<=>quiet(X)))&
((?[X]:((calm(X)<~>~curious(X))))<=>(?[X]:((~happy(X)|strong(X)))))&
((~calm(mary))=>(?[X]:((happy(X)|patient(X)))))&
(![X]:(calm(X)<=>(~wise(X)<~>~calm(X))))&
(![X]:((strong(X)|calm(X))=>(~funny(X)<~>old(X))))&
(![X]:((~rich(X)<~>tall(X))=>tall(X)))&
(![X]:(~generous(X)<=>(funny(... | humble(lucy) | [] | null | 0 |
If someone is wise then paul is not funny and vice versa.
Everyone who is both not old and tall is either not happy or not rich and vice versa.
Everyone who is wise or not humble is either quiet or not rich and vice versa.
If susan is strong or old then susan is strong or brave and vice versa.
Everyone who is either no... | Fred is not happy. | entailment | ((?[X]:(wise(X)))<=>(~funny(paul)))&
(![X]:((~old(X)&tall(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:((wise(X)|~humble(X))<=>(quiet(X)<~>~rich(X))))&
(((strong(susan)|old(susan)))<=>((strong(susan)|brave(susan))))&
(![X]:((~curious(X)<~>old(X))<=>(old(X)<~>~funny(X))))&
(![X]:((~humble(X)&quiet(X))<=>(calm(X)|~old(X))))&
((... | ~happy(fred) | [
"p1",
"p2",
"p5",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6886628267840412291987
% SZS output start Proof for 6886628267840412291987
2. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~happy(X0) <~> ~rich(X0))) [input p1]
3. ! [X0] : ((~humble(X0) | wise(X0)) <=> (quiet(X0) <~> ~rich(X0))) [input p2]
6. ! [X0] : ((quiet(X0) & ~humble(X0)) <=> (~old(X0) | c... | 0 |
If someone is either not rich or patient then fred is happy or curious and vice versa.
Everyone who is brave is happy or strong.
If someone is curious or not tall then mary is kind or not patient.
If mary is creative or not quiet then lucy is humble or generous.
Everyone who is either strong or wise is wise or not calm... | Lucy is brave. | entailment | ((?[X]:((~rich(X)<~>patient(X))))<=>((happy(fred)|curious(fred))))&
(![X]:(brave(X)=>(happy(X)|strong(X))))&
((?[X]:((curious(X)|~tall(X))))=>((kind(mary)|~patient(mary))))&
(((creative(mary)|~quiet(mary)))=>((humble(lucy)|generous(lucy))))&
(![X]:((strong(X)<~>wise(X))=>(wise(X)|~calm(X))))&
(![X]:((~funny(X)|brave(X)... | brave(lucy) | [
"p5",
"p6",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5462411324499046603692843
% SZS output start Proof for 5462411324499046603692843
6. ! [X0] : ((brave(X0) | ~funny(X0)) => (~calm(X0) & brave(X0))) [input p5]
7. (tall(fred) & ~old(fred)) <=> ? [X0] : (funny(X0) | creative(X0)) [input p6]
8. ! [X0] : ((rich(X0) <~> ~wise(X0)) <=> (~tall(X0... | 0 |
Everyone who is both not rich and not kind is not creative and vice versa. Everyone who is either old or not brave is happy or strong and vice versa. If fred is both not brave and calm then someone is either humble or not patient and vice versa. If mary is either not wise or not strong then someone is either patient or... | Lucy is not curious. | contradiction | (![X]:((~rich(X)&~kind(X))<=>~creative(X)))&
(![X]:((old(X)<~>~brave(X))<=>(happy(X)|strong(X))))&
(((~brave(fred)&calm(fred)))<=>(?[X]:((humble(X)<~>~patient(X)))))&
(((~wise(mary)<~>~strong(mary)))=>(?[X]:((patient(X)<~>~rich(X)))))&
(![X]:((~tall(X)&tall(X))<=>strong(X)))&
((~humble(fred))<=>(?[X]:((~curious(X)|old(... | ~curious(lucy) | [
"p4",
"p6",
"p7",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 413252565458676138463486
% SZS output start Proof for 413252565458676138463486
5. ! [X0] : ((tall(X0) & ~tall(X0)) <=> strong(X0)) [input p4]
7. ! [X0] : ((~calm(X0) <~> strong(X0)) => (patient(X0) & brave(X0))) [input p6]
8. ! [X0] : ((~curious(X0) | creative(X0)) <=> ~calm(X0)) [input p... | 0 |
Everyone who is not creative or not calm is not tall. Everyone who is both not rich and not funny is either curious or not kind and vice versa. Everyone who is not quiet is calm or not brave. Everyone who is strong is both not happy and humble. Everyone who is both not funny and humble is old or not tall and vice versa... | Susan is not brave. | contradiction | (![X]:((~creative(X)|~calm(X))=>~tall(X)))&
(![X]:((~rich(X)&~funny(X))<=>(curious(X)<~>~kind(X))))&
(![X]:(~quiet(X)=>(calm(X)|~brave(X))))&
(![X]:(strong(X)=>(~happy(X)&humble(X))))&
(![X]:((~funny(X)&humble(X))<=>(old(X)|~tall(X))))&
((?[X]:(~curious(X)))<=>((~old(alice)&wise(alice))))&
(![X]:((tall(X)&~calm(X))<=>(... | ~brave(susan) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4944872497220937666633674
% SZS output start Proof for 4944872497220937666633674
1. ! [X0] : ((~calm(X0) | ~creative(X0)) => ~tall(X0)) [input p0]
2. ! [X0] : ((~funny(X0) & ~rich(X0)) <=> (curious(X0) <~> ~kind(X0))) [input p1]
5. ! [X0] : ((humble(X0) & ~funny(X0)) <=> (~tall(X0) | old(... | 0 |
If someone is not kind or generous then someone is not tall or not kind and vice versa.
Everyone who is either not brave or not happy is both calm and kind.
If someone is not happy then john is not calm.
If someone is either not funny or not humble then fred is either not curious or old and vice versa.
Everyone who is ... | John is not calm. | entailment | ((?[X]:((~kind(X)|generous(X))))<=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:((~brave(X)<~>~happy(X))=>(calm(X)&kind(X))))&
((?[X]:(~happy(X)))=>(~calm(john)))&
((?[X]:((~funny(X)<~>~humble(X))))<=>((~curious(fred)<~>old(fred))))&
(![X]:((brave(X)&old(X))<=>(~strong(X)<~>~curious(X))))&
(![X]:((humble(X)<~>~old(X))=>(calm(X... | ~calm(john) | [
"p1",
"p2",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 107291430359283783014196
% SZS output start Proof for 107291430359283783014196
2. ! [X0] : ((~brave(X0) <~> ~happy(X0)) => (kind(X0) & calm(X0))) [input p1]
3. ? [X0] : ~happy(X0) => ~calm(john) [input p2]
15. ! [X0] : ((~creative(X0) | ~brave(X0)) => (~kind(X0) & ~creative(X0))) [input p... | 0 |
Everyone who is patient is either funny or humble and vice versa. If john is not wise then lucy is tall or not quiet and vice versa. Everyone who is rich or not brave is either kind or patient. If someone is either quiet or rich then someone is either not happy or not curious. If someone is not rich or calm then susan ... | Susan is strong. | neutral | (![X]:(patient(X)<=>(funny(X)<~>humble(X))))&
((~wise(john))<=>((tall(lucy)|~quiet(lucy))))&
(![X]:((rich(X)|~brave(X))=>(kind(X)<~>patient(X))))&
((?[X]:((quiet(X)<~>rich(X))))=>(?[X]:((~happy(X)<~>~curious(X)))))&
((?[X]:((~rich(X)|calm(X))))=>((humble(susan)|happy(susan))))&
(![X]:((~generous(X)|funny(X))<=>(~funny(... | strong(susan) | [] | null | 0 |
If susan is either not happy or not tall then fred is patient and vice versa.
If paul is curious then mary is either not brave or curious.
Everyone who is both calm and wise is either rich or wise and vice versa.
If paul is not humble then someone is both not curious and brave.
Everyone who is not brave or patient is b... | Susan is not calm. | contradiction | (((~happy(susan)<~>~tall(susan)))<=>(patient(fred)))&
((curious(paul))=>((~brave(mary)<~>curious(mary))))&
(![X]:((calm(X)&wise(X))<=>(rich(X)<~>wise(X))))&
((~humble(paul))=>(?[X]:((~curious(X)&brave(X)))))&
(![X]:((~brave(X)|patient(X))<=>(patient(X)&~kind(X))))&
(((calm(paul)|~old(paul)))=>(humble(alice)))&
((rich(m... | ~calm(susan) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4052538331275577794281750
% SZS output start Proof for 4052538331275577794281750
12. ! [X0] : ((~wise(X0) <~> wise(X0)) => wise(X0)) [input p11]
14. ? [X0] : ~wise(X0) <=> (~patient(susan) | ~calm(susan)) [input p13]
23. ~calm(susan) [input hypothesis]
29. ! [X0] : (wise(X0) | (~wise(X0) ... | 0 |
Everyone who is brave or funny is both not happy and not tall.
If lucy is either not generous or old then mary is not curious and vice versa.
If someone is both happy and not humble then fred is not tall or generous.
Everyone who is kind or humble is both tall and generous.
Everyone who is either funny or kind is not r... | Alice is calm. | contradiction | (![X]:((brave(X)|funny(X))=>(~happy(X)&~tall(X))))&
(((~generous(lucy)<~>old(lucy)))<=>(~curious(mary)))&
((?[X]:((happy(X)&~humble(X))))=>((~tall(fred)|generous(fred))))&
(![X]:((kind(X)|humble(X))=>(tall(X)&generous(X))))&
(![X]:((funny(X)<~>kind(X))<=>(~rich(X)|~quiet(X))))&
(((~curious(alice)|~rich(alice)))<=>(?[X]... | calm(alice) | [
"p0",
"p3",
"p4",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5152519970572728819898774
% SZS output start Proof for 5152519970572728819898774
1. ! [X0] : ((funny(X0) | brave(X0)) => (~tall(X0) & ~happy(X0))) [input p0]
4. ! [X0] : ((humble(X0) | kind(X0)) => (generous(X0) & tall(X0))) [input p3]
5. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (~quiet(X0)... | 0 |
Everyone who is happy is either not happy or quiet and vice versa. If john is wise or calm then someone is either quiet or wise. If mary is both brave and not wise then john is creative and vice versa. If someone is not generous then alice is not funny. Everyone who is calm or humble is strong or not tall. Everyone who... | Fred is not rich. | neutral | (![X]:(happy(X)<=>(~happy(X)<~>quiet(X))))&
(((wise(john)|calm(john)))=>(?[X]:((quiet(X)<~>wise(X)))))&
(((brave(mary)&~wise(mary)))<=>(creative(john)))&
((?[X]:(~generous(X)))=>(~funny(alice)))&
(![X]:((calm(X)|humble(X))=>(strong(X)|~tall(X))))&
(![X]:(~tall(X)=>rich(X)))&
((?[X]:((~humble(X)<~>kind(X))))=>((~generou... | ~rich(fred) | [] | null | 0 |
If someone is not old or happy then alice is either curious or not wise and vice versa. Everyone who is either quiet or kind is not kind or funny. If john is tall or not wise then alice is not rich. Everyone who is not calm is both not old and happy. Everyone who is not wise or not curious is either not wise or quiet a... | John is not patient. | contradiction | ((?[X]:((~old(X)|happy(X))))<=>((curious(alice)<~>~wise(alice))))&
(![X]:((quiet(X)<~>kind(X))=>(~kind(X)|funny(X))))&
(((tall(john)|~wise(john)))=>(~rich(alice)))&
(![X]:(~calm(X)=>(~old(X)&happy(X))))&
(![X]:((~wise(X)|~curious(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(~rich(X)|~strong(X))... | ~patient(john) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7583009947603281804573554
% SZS output start Proof for 7583009947603281804573554
23. ~humble(john) & patient(john) [input p22]
25. ~patient(john) [input hypothesis]
32. patient(john) [pure predicate removal 23]
139. patient(john) [cnf transformation 32]
142. ~patient(john) [cnf transforma... | 0 |
If john is not humble or generous then mary is humble. Everyone who is either not patient or calm is either kind or calm and vice versa. If john is not patient then lucy is either not quiet or humble and vice versa. Everyone who is both wise and not quiet is creative and vice versa. Everyone who is not patient or wise ... | Susan is not old. | neutral | (((~humble(john)|generous(john)))=>(humble(mary)))&
(![X]:((~patient(X)<~>calm(X))<=>(kind(X)<~>calm(X))))&
((~patient(john))<=>((~quiet(lucy)<~>humble(lucy))))&
(![X]:((wise(X)&~quiet(X))<=>creative(X)))&
(![X]:((~patient(X)|wise(X))=>(~patient(X)&quiet(X))))&
((?[X]:((~old(X)&humble(X))))=>((humble(mary)<~>rich(mary)... | ~old(susan) | [] | null | 0 |
Everyone who is not curious or not quiet is both funny and strong.
If someone is both not brave and not calm then someone is old.
If someone is both strong and funny then someone is either generous or not strong.
If someone is either humble or funny then someone is not old or not tall and vice versa.
If someone is eith... | Lucy is not happy. | neutral | (![X]:((~curious(X)|~quiet(X))=>(funny(X)&strong(X))))&
((?[X]:((~brave(X)&~calm(X))))=>(?[X]:(old(X))))&
((?[X]:((strong(X)&funny(X))))=>(?[X]:((generous(X)<~>~strong(X)))))&
((?[X]:((humble(X)<~>funny(X))))<=>(?[X]:((~old(X)|~tall(X)))))&
((?[X]:((~patient(X)<~>~kind(X))))=>((humble(paul)<~>kind(paul))))&
(((~creativ... | ~happy(lucy) | [] | null | 0 |
If alice is both brave and tall then lucy is either not rich or not patient and vice versa. If someone is not creative or patient then fred is not tall. Everyone who is both curious and not funny is humble or not strong and vice versa. If someone is not wise or not calm then paul is not patient or not creative. If paul... | Fred is patient. | contradiction | (((brave(alice)&tall(alice)))<=>((~rich(lucy)<~>~patient(lucy))))&
((?[X]:((~creative(X)|patient(X))))=>(~tall(fred)))&
(![X]:((curious(X)&~funny(X))<=>(humble(X)|~strong(X))))&
((?[X]:((~wise(X)|~calm(X))))=>((~patient(paul)|~creative(paul))))&
(((~kind(paul)<~>humble(paul)))<=>(~happy(fred)))&
((?[X]:((happy(X)|~calm... | patient(fred) | [
"p1",
"p2",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4527610029844757348200906
% SZS output start Proof for 4527610029844757348200906
2. ? [X0] : (patient(X0) | ~creative(X0)) => ~tall(fred) [input p1]
3. ! [X0] : ((~funny(X0) & curious(X0)) <=> (~strong(X0) | humble(X0))) [input p2]
13. ! [X0] : (~humble(X0) <=> curious(X0)) [input p12]
15... | 0 |
Everyone who is either old or quiet is generous and vice versa. If fred is either generous or not generous then mary is not wise or humble. Everyone who is happy is either not generous or not brave and vice versa. Everyone who is both not happy and calm is either patient or not humble. Everyone who is strong or not ric... | Paul is kind. | entailment | (![X]:((old(X)<~>quiet(X))<=>generous(X)))&
(((generous(fred)<~>~generous(fred)))=>((~wise(mary)|humble(mary))))&
(![X]:(happy(X)<=>(~generous(X)<~>~brave(X))))&
(![X]:((~happy(X)&calm(X))=>(patient(X)<~>~humble(X))))&
(![X]:((strong(X)|~rich(X))=>(~humble(X)&generous(X))))&
((?[X]:((~strong(X)<~>calm(X))))<=>((~rich(s... | kind(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8100161209205945150831325
% SZS output start Proof for 8100161209205945150831325
18. kind(paul) [input p17]
24. ~kind(paul) [input hypothesis]
136. kind(paul) [cnf transformation 18]
144. ~kind(paul) [cnf transformation 24]
285. $false [subsumption resolution 144,136]
% SZS output end Pro... | 0 |
Everyone who is both not quiet and old is both wise and kind and vice versa.
Everyone who is not curious is both not kind and not tall and vice versa.
If someone is not kind or not funny then someone is not wise or humble.
If someone is both calm and generous then susan is either not quiet or not happy.
If fred is not ... | John is not rich. | entailment | (![X]:((~quiet(X)&old(X))<=>(wise(X)&kind(X))))&
(![X]:(~curious(X)<=>(~kind(X)&~tall(X))))&
((?[X]:((~kind(X)|~funny(X))))=>(?[X]:((~wise(X)|humble(X)))))&
((?[X]:((calm(X)&generous(X))))=>((~quiet(susan)<~>~happy(susan))))&
(((~old(fred)|humble(fred)))=>(?[X]:((generous(X)|~calm(X)))))&
((?[X]:((curious(X)|humble(X))... | ~rich(john) | [
"p1",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8565945883690739037653926
% SZS output start Proof for 8565945883690739037653926
2. ! [X0] : (~curious(X0) <=> (~tall(X0) & ~kind(X0))) [input p1]
11. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> (rich(X0) | tall(X0))) [input p10]
12. ! [X0] : (curious(X0) <=> (~funny(X0) & ~creative(X0))) ... | 0 |
If someone is not patient or not wise then someone is both not brave and not creative. If alice is not brave then lucy is brave or creative. If alice is not old or not brave then someone is both strong and not happy and vice versa. Everyone who is not happy is creative and vice versa. If someone is not rich or not pati... | John is not brave. | entailment | ((?[X]:((~patient(X)|~wise(X))))=>(?[X]:((~brave(X)&~creative(X)))))&
((~brave(alice))=>((brave(lucy)|creative(lucy))))&
(((~old(alice)|~brave(alice)))<=>(?[X]:((strong(X)&~happy(X)))))&
(![X]:(~happy(X)<=>creative(X)))&
((?[X]:((~rich(X)|~patient(X))))<=>((~curious(susan)&strong(susan))))&
((kind(john))=>((funny(fred)... | ~brave(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8942891564257815939923725
% SZS output start Proof for 8942891564257815939923725
9. ! [X0] : ((strong(X0) | ~strong(X0)) => ~brave(X0)) [input p8]
23. brave(john) [input hypothesis]
30. ! [X0] : (~brave(X0) | (~strong(X0) & strong(X0))) [ennf transformation 9]
110. ~brave(X0) | strong(X0)... | 0 |
Everyone who is wise is brave and vice versa.
Everyone who is not strong or patient is both not calm and rich and vice versa.
Everyone who is both not quiet and not happy is either calm or patient.
If someone is both not rich and not happy then someone is creative and vice versa.
If mary is kind or creative then fred i... | Mary is funny. | neutral | (![X]:(wise(X)<=>brave(X)))&
(![X]:((~strong(X)|patient(X))<=>(~calm(X)&rich(X))))&
(![X]:((~quiet(X)&~happy(X))=>(calm(X)<~>patient(X))))&
((?[X]:((~rich(X)&~happy(X))))<=>(?[X]:(creative(X))))&
(((kind(mary)|creative(mary)))<=>(~brave(fred)))&
(![X]:(~kind(X)=>(~generous(X)&~old(X))))&
((?[X]:((~brave(X)<~>~wise(X)))... | funny(mary) | [] | null | 0 |
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