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 old or not quiet is both wise and not calm. Everyone who is not calm or not kind is rich and vice versa. If someone is both happy and funny then lucy is both not strong and rich. Everyone who is both generous and kind is not brave and vice versa. If mary is kind or wise then susan is either not c... | Mary is generous. | neutral | (![X]:((old(X)<~>~quiet(X))=>(wise(X)&~calm(X))))&
(![X]:((~calm(X)|~kind(X))<=>rich(X)))&
((?[X]:((happy(X)&funny(X))))=>((~strong(lucy)&rich(lucy))))&
(![X]:((generous(X)&kind(X))<=>~brave(X)))&
(((kind(mary)|wise(mary)))<=>((~calm(susan)<~>humble(susan))))&
(![X]:((~old(X)&old(X))=>(quiet(X)&creative(X))))&
(((~calm... | generous(mary) | [] | null | 0 |
If someone is either brave or calm then paul is not strong and vice versa.
Everyone who is both happy and not calm is creative.
Everyone who is not curious is tall.
If someone is both not wise and not humble then someone is not happy.
Everyone who is generous or not strong is curious or not rich.
Everyone who is both r... | Alice is not rich. | entailment | ((?[X]:((brave(X)<~>calm(X))))<=>(~strong(paul)))&
(![X]:((happy(X)&~calm(X))=>creative(X)))&
(![X]:(~curious(X)=>tall(X)))&
((?[X]:((~wise(X)&~humble(X))))=>(?[X]:(~happy(X))))&
(![X]:((generous(X)|~strong(X))=>(curious(X)|~rich(X))))&
(![X]:((rich(X)&~quiet(X))=>brave(X)))&
(![X]:((funny(X)&~tall(X))<=>(humble(X)<~>~... | ~rich(alice) | [
"p2",
"p6",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 713112291249355507415649
% SZS output start Proof for 713112291249355507415649
3. ! [X0] : (~curious(X0) => tall(X0)) [input p2]
7. ! [X0] : ((~tall(X0) & funny(X0)) <=> (humble(X0) <~> ~rich(X0))) [input p6]
12. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (humble(X0) & ~happy(X0))) [inpu... | 0 |
Everyone who is not quiet is either funny or creative and vice versa.
Everyone who is creative is either not strong or not patient.
If someone is either quiet or not creative then someone is both calm and curious and vice versa.
Everyone who is kind is both not funny and calm and vice versa.
If fred is not rich or humb... | Fred is happy. | entailment | (![X]:(~quiet(X)<=>(funny(X)<~>creative(X))))&
(![X]:(creative(X)=>(~strong(X)<~>~patient(X))))&
((?[X]:((quiet(X)<~>~creative(X))))<=>(?[X]:((calm(X)&curious(X)))))&
(![X]:(kind(X)<=>(~funny(X)&calm(X))))&
(((~rich(fred)|humble(fred)))=>(?[X]:((~humble(X)&humble(X)))))&
(![X]:((~funny(X)&~calm(X))=>(old(X)&~wise(X))))... | happy(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3543610724891702279541347
% SZS output start Proof for 3543610724891702279541347
7. ! [X0] : (quiet(X0) <=> (~quiet(X0) & ~happy(X0))) [input p6]
24. ~happy(fred) [input hypothesis]
48. ! [X0] : ((quiet(X0) | (quiet(X0) | happy(X0))) & ((~quiet(X0) & ~happy(X0)) | ~quiet(X0))) [nnf transf... | 0 |
If someone is both not quiet and not strong then mary is both not patient and strong. Everyone who is both not curious and tall is not curious or not brave. If someone is both not patient and not curious then fred is not curious and vice versa. Everyone who is not humble or old is curious. Everyone who is humble or ric... | Mary is not kind. | entailment | ((?[X]:((~quiet(X)&~strong(X))))=>((~patient(mary)&strong(mary))))&
(![X]:((~curious(X)&tall(X))=>(~curious(X)|~brave(X))))&
((?[X]:((~patient(X)&~curious(X))))<=>(~curious(fred)))&
(![X]:((~humble(X)|old(X))=>curious(X)))&
(![X]:((humble(X)|rich(X))=>(~strong(X)&~patient(X))))&
((?[X]:((~brave(X)<~>~tall(X))))=>(~funn... | ~kind(mary) | [
"p6",
"p12",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1313739385270835277424257
% SZS output start Proof for 1313739385270835277424257
7. ? [X0] : (~tall(X0) | ~happy(X0)) => (brave(alice) & kind(alice)) [input p6]
13. ! [X0] : ((~generous(X0) | ~creative(X0)) => (~kind(X0) | ~funny(X0))) [input p12]
16. ? [X0] : ~funny(X0) => (old(alice) & ... | 0 |
Everyone who is old is not patient and vice versa.
If susan is either not rich or not wise then someone is rich and vice versa.
If someone is either old or not rich then fred is not humble.
If fred is either not tall or wise then someone is either old or not tall.
If alice is old then someone is not funny.
Everyone who... | Susan is not tall. | contradiction | (![X]:(old(X)<=>~patient(X)))&
(((~rich(susan)<~>~wise(susan)))<=>(?[X]:(rich(X))))&
((?[X]:((old(X)<~>~rich(X))))=>(~humble(fred)))&
(((~tall(fred)<~>wise(fred)))=>(?[X]:((old(X)<~>~tall(X)))))&
((old(alice))=>(?[X]:(~funny(X))))&
(![X]:((old(X)&~creative(X))=>~brave(X)))&
(((kind(john)|humble(john)))=>((tall(susan)<~... | ~tall(susan) | [
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1758198230390302382951003
% SZS output start Proof for 1758198230390302382951003
16. ! [X0] : (~quiet(X0) => tall(X0)) [input p15]
18. ~funny(susan) & ~quiet(susan) [input p17]
25. ~tall(susan) [input hypothesis]
40. ! [X0] : (tall(X0) | quiet(X0)) [ennf transformation 16]
125. quiet(X0) ... | 0 |
Everyone who is either humble or not funny is creative or not humble and vice versa.
Everyone who is not calm or strong is calm or not calm.
If someone is both not quiet and not rich then someone is not brave or not creative.
If lucy is wise or not brave then someone is either rich or tall.
Everyone who is either quiet... | Mary is quiet. | entailment | (![X]:((humble(X)<~>~funny(X))<=>(creative(X)|~humble(X))))&
(![X]:((~calm(X)|strong(X))=>(calm(X)|~calm(X))))&
((?[X]:((~quiet(X)&~rich(X))))=>(?[X]:((~brave(X)|~creative(X)))))&
(((wise(lucy)|~brave(lucy)))=>(?[X]:((rich(X)<~>tall(X)))))&
(![X]:((quiet(X)<~>~kind(X))=>(~wise(X)&funny(X))))&
(![X]:(generous(X)<=>(~qui... | quiet(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6721281869852725063202577
% SZS output start Proof for 6721281869852725063202577
6. ! [X0] : (generous(X0) <=> (~quiet(X0) <~> generous(X0))) [input p5]
25. ~quiet(mary) [input hypothesis]
46. ! [X0] : ((generous(X0) | ((~quiet(X0) | ~generous(X0)) & (generous(X0) | quiet(X0)))) & (((~gen... | 0 |
Everyone who is both not rich and not old is not quiet or not funny.
If someone is either not funny or generous then someone is old or not old and vice versa.
Everyone who is not brave or curious is both not quiet and calm.
Everyone who is quiet is either calm or tall and vice versa.
Everyone who is both not funny and ... | Fred is not happy. | neutral | (![X]:((~rich(X)&~old(X))=>(~quiet(X)|~funny(X))))&
((?[X]:((~funny(X)<~>generous(X))))<=>(?[X]:((old(X)|~old(X)))))&
(![X]:((~brave(X)|curious(X))=>(~quiet(X)&calm(X))))&
(![X]:(quiet(X)<=>(calm(X)<~>tall(X))))&
(![X]:((~funny(X)&~happy(X))=>(curious(X)|rich(X))))&
((?[X]:((humble(X)<~>quiet(X))))<=>((~strong(fred)|wi... | ~happy(fred) | [] | null | 0 |
Everyone who is both not calm and rich is either not patient or not humble and vice versa.
Everyone who is not happy or patient is not generous.
If fred is either curious or not generous then someone is both not old and not quiet.
If someone is not curious or rich then someone is either not kind or rich and vice versa.... | John is curious. | neutral | (![X]:((~calm(X)&rich(X))<=>(~patient(X)<~>~humble(X))))&
(![X]:((~happy(X)|patient(X))=>~generous(X)))&
(((curious(fred)<~>~generous(fred)))=>(?[X]:((~old(X)&~quiet(X)))))&
((?[X]:((~curious(X)|rich(X))))<=>(?[X]:((~kind(X)<~>rich(X)))))&
(((curious(john)&~strong(john)))=>((rich(lucy)|~tall(lucy))))&
(![X]:((happy(X)|... | curious(john) | [] | null | 0 |
Everyone who is rich or patient is not quiet or not calm.
Everyone who is either not calm or patient is both tall and happy.
Everyone who is both not old and humble is not wise and vice versa.
If someone is not patient then someone is generous or happy.
Everyone who is both not creative and rich is calm and vice versa.... | Alice is not calm. | entailment | (![X]:((rich(X)|patient(X))=>(~quiet(X)|~calm(X))))&
(![X]:((~calm(X)<~>patient(X))=>(tall(X)&happy(X))))&
(![X]:((~old(X)&humble(X))<=>~wise(X)))&
((?[X]:(~patient(X)))=>(?[X]:((generous(X)|happy(X)))))&
(![X]:((~creative(X)&rich(X))<=>calm(X)))&
(![X]:((~brave(X)&~generous(X))<=>(rich(X)|curious(X))))&
((?[X]:((brave... | ~calm(alice) | [
"p2",
"p4",
"p7",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 29822647049342170341443
% SZS output start Proof for 29822647049342170341443
3. ! [X0] : ((humble(X0) & ~old(X0)) <=> ~wise(X0)) [input p2]
5. ! [X0] : ((rich(X0) & ~creative(X0)) <=> calm(X0)) [input p4]
8. ! [X0] : ((happy(X0) & ~wise(X0)) <=> (~wise(X0) <~> ~humble(X0))) [input p7]
9. ... | 0 |
Everyone who is humble is both not creative and not humble and vice versa.
Everyone who is either brave or not patient is not calm and vice versa.
Everyone who is not funny is either not rich or not kind.
If lucy is either not curious or old then someone is not generous or not happy and vice versa.
If john is both humb... | John is funny. | contradiction | (![X]:(humble(X)<=>(~creative(X)&~humble(X))))&
(![X]:((brave(X)<~>~patient(X))<=>~calm(X)))&
(![X]:(~funny(X)=>(~rich(X)<~>~kind(X))))&
(((~curious(lucy)<~>old(lucy)))<=>(?[X]:((~generous(X)|~happy(X)))))&
(((humble(john)&~curious(john)))=>(?[X]:(happy(X))))&
(![X]:((patient(X)&generous(X))=>(calm(X)<~>~tall(X))))&
((... | funny(john) | [
"p0",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6063447610145755848461159
% SZS output start Proof for 6063447610145755848461159
1. ! [X0] : (humble(X0) <=> (~humble(X0) & ~creative(X0))) [input p0]
17. ~funny(john) | humble(john) [input p16]
24. funny(john) [input hypothesis]
42. ! [X0] : ((humble(X0) | (humble(X0) | creative(X0))) & ... | 0 |
If lucy is either not creative or tall then someone is both not kind and not creative and vice versa. Everyone who is tall or not strong is not curious. If john is not tall then mary is either not creative or not rich. If someone is either funny or quiet then someone is both not brave and brave and vice versa. If fred ... | Paul is not funny. | contradiction | (((~creative(lucy)<~>tall(lucy)))<=>(?[X]:((~kind(X)&~creative(X)))))&
(![X]:((tall(X)|~strong(X))=>~curious(X)))&
((~tall(john))=>((~creative(mary)<~>~rich(mary))))&
((?[X]:((funny(X)<~>quiet(X))))<=>(?[X]:((~brave(X)&brave(X)))))&
(((funny(fred)&~humble(fred)))<=>((tall(alice)&~strong(alice))))&
(![X]:(kind(X)=>(curi... | ~funny(paul) | [
"p3",
"p6",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1724837885957177330205907
% SZS output start Proof for 1724837885957177330205907
4. ? [X0] : (funny(X0) <~> quiet(X0)) <=> ? [X0] : (brave(X0) & ~brave(X0)) [input p3]
7. ! [X0] : ((kind(X0) <~> creative(X0)) <=> (quiet(X0) & ~brave(X0))) [input p6]
16. ! [X0] : (kind(X0) => (funny(X0) & ... | 0 |
Everyone who is not old or wise is either not kind or not brave and vice versa.
If john is either creative or not old then mary is calm or not generous and vice versa.
Everyone who is either creative or not calm is either curious or not kind.
Everyone who is both not tall and not old is either not brave or brave and vi... | Alice is funny. | entailment | (![X]:((~old(X)|wise(X))<=>(~kind(X)<~>~brave(X))))&
(((creative(john)<~>~old(john)))<=>((calm(mary)|~generous(mary))))&
(![X]:((creative(X)<~>~calm(X))=>(curious(X)<~>~kind(X))))&
(![X]:((~tall(X)&~old(X))<=>(~brave(X)<~>brave(X))))&
((?[X]:((funny(X)|~curious(X))))<=>((funny(fred)&~curious(fred))))&
(![X]:((rich(X)<~... | funny(alice) | [
"p3",
"p8",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5459434794872600293862976
% SZS output start Proof for 5459434794872600293862976
4. ! [X0] : ((~old(X0) & ~tall(X0)) <=> (~brave(X0) <~> brave(X0))) [input p3]
9. (old(susan) & quiet(susan)) <=> ? [X0] : (wise(X0) | ~rich(X0)) [input p8]
10. ! [X0] : (happy(X0) <=> (rich(X0) | strong(X0))... | 0 |
Everyone who is either not wise or not happy is quiet or brave and vice versa.
If someone is either not funny or not patient then someone is curious or brave.
Everyone who is strong or wise is brave or not creative.
Everyone who is both not calm and patient is wise or quiet and vice versa.
Everyone who is either not ki... | Mary is not wise. | neutral | (![X]:((~wise(X)<~>~happy(X))<=>(quiet(X)|brave(X))))&
((?[X]:((~funny(X)<~>~patient(X))))=>(?[X]:((curious(X)|brave(X)))))&
(![X]:((strong(X)|wise(X))=>(brave(X)|~creative(X))))&
(![X]:((~calm(X)&patient(X))<=>(wise(X)|quiet(X))))&
(![X]:((~kind(X)<~>curious(X))=>old(X)))&
(![X]:(~quiet(X)<=>(patient(X)|brave(X))))&
(... | ~wise(mary) | [] | null | 0 |
Everyone who is either funny or calm is curious or rich.
If mary is happy or not funny then someone is both not patient and not old and vice versa.
Everyone who is either calm or kind is old.
If someone is quiet or not tall then paul is not humble or not rich and vice versa.
Everyone who is not curious is either not wi... | Mary is brave. | entailment | (![X]:((funny(X)<~>calm(X))=>(curious(X)|rich(X))))&
(((happy(mary)|~funny(mary)))<=>(?[X]:((~patient(X)&~old(X)))))&
(![X]:((calm(X)<~>kind(X))=>old(X)))&
((?[X]:((quiet(X)|~tall(X))))<=>((~humble(paul)|~rich(paul))))&
(![X]:(~curious(X)=>(~wise(X)<~>~happy(X))))&
(((~tall(john)&~brave(john)))=>(~kind(john)))&
(((calm... | brave(mary) | [
"p8",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7375253277056427449823900
% SZS output start Proof for 7375253277056427449823900
9. ? [X0] : ~humble(X0) => ? [X0] : (kind(X0) & humble(X0)) [input p8]
11. ? [X0] : humble(X0) => happy(mary) [input p10]
12. ! [X0] : ((old(X0) | ~brave(X0)) => (patient(X0) & ~happy(X0))) [input p11]
17. ? ... | 0 |
If someone is not humble or not patient then someone is calm or not funny.
Everyone who is brave is either quiet or not kind.
Everyone who is not humble or rich is either not generous or not creative.
If alice is both not old and not happy then someone is calm and vice versa.
Everyone who is both not brave and creative... | Mary is wise. | contradiction | ((?[X]:((~humble(X)|~patient(X))))=>(?[X]:((calm(X)|~funny(X)))))&
(![X]:(brave(X)=>(quiet(X)<~>~kind(X))))&
(![X]:((~humble(X)|rich(X))=>(~generous(X)<~>~creative(X))))&
(((~old(alice)&~happy(alice)))<=>(?[X]:(calm(X))))&
(![X]:((~brave(X)&creative(X))=>(generous(X)&rich(X))))&
(![X]:(~patient(X)<=>~wise(X)))&
(![X]:(... | wise(mary) | [
"p3",
"p5",
"p6",
"p10",
"p14",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2871279765297668210840910
% SZS output start Proof for 2871279765297668210840910
4. (~happy(alice) & ~old(alice)) <=> ? [X0] : calm(X0) [input p3]
6. ! [X0] : (~patient(X0) <=> ~wise(X0)) [input p5]
7. ! [X0] : ((wise(X0) | generous(X0)) <=> (curious(X0) | ~patient(X0))) [input p6]
11. ! ... | 0 |
Everyone who is rich or kind is not tall or not rich and vice versa.
Everyone who is both not brave and not calm is humble or not rich.
Everyone who is not generous or not quiet is creative or brave and vice versa.
If someone is curious or wise then someone is either creative or not curious.
Everyone who is generous is... | Fred is kind. | neutral | (![X]:((rich(X)|kind(X))<=>(~tall(X)|~rich(X))))&
(![X]:((~brave(X)&~calm(X))=>(humble(X)|~rich(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(creative(X)|brave(X))))&
((?[X]:((curious(X)|wise(X))))=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:(generous(X)=>(~kind(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~old(X))=>(calm(X)&br... | kind(fred) | [] | null | 0 |
If fred is not patient then fred is both generous and creative and vice versa.
Everyone who is curious or old is humble or not calm.
Everyone who is both not generous and not funny is brave and vice versa.
Everyone who is either generous or not old is either not humble or not strong.
Everyone who is strong is either pa... | John is not brave. | entailment | ((~patient(fred))<=>((generous(fred)&creative(fred))))&
(![X]:((curious(X)|old(X))=>(humble(X)|~calm(X))))&
(![X]:((~generous(X)&~funny(X))<=>brave(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)<~>~strong(X))))&
(![X]:(strong(X)<=>(patient(X)<~>~happy(X))))&
((?[X]:((quiet(X)<~>wise(X))))=>((strong(fred)|quiet(fred)... | ~brave(john) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2768901219903980069434484
% SZS output start Proof for 2768901219903980069434484
3. ! [X0] : ((~funny(X0) & ~generous(X0)) <=> brave(X0)) [input p2]
9. ! [X0] : ((~patient(X0) | ~generous(X0)) => (wise(X0) & ~brave(X0))) [input p8]
24. brave(john) [input hypothesis]
34. ! [X0] : ((wise(X0... | 0 |
If alice is either kind or brave then fred is both not quiet and creative.
Everyone who is both creative and not creative is tall or funny.
If fred is tall then someone is generous.
If paul is both not wise and humble then someone is brave and vice versa.
Everyone who is both not calm and not happy is either not quiet ... | Paul is not humble. | contradiction | (((kind(alice)<~>brave(alice)))=>((~quiet(fred)&creative(fred))))&
(![X]:((creative(X)&~creative(X))=>(tall(X)|funny(X))))&
((tall(fred))=>(?[X]:(generous(X))))&
(((~wise(paul)&humble(paul)))<=>(?[X]:(brave(X))))&
(![X]:((~calm(X)&~happy(X))=>(~quiet(X)<~>~funny(X))))&
((?[X]:((~rich(X)|generous(X))))<=>((~funny(paul)<... | ~humble(paul) | [
"p3",
"p6",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7001131748649923860661252
% SZS output start Proof for 7001131748649923860661252
4. (humble(paul) & ~wise(paul)) <=> ? [X0] : brave(X0) [input p3]
7. ! [X0] : (~quiet(X0) <=> (wise(X0) <~> ~curious(X0))) [input p6]
13. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> humble(X0)) [input p12]
14... | 0 |
If fred is either curious or not old then paul is either quiet or rich and vice versa.
If someone is generous or not funny then john is not strong.
Everyone who is not kind is not quiet and vice versa.
Everyone who is not wise or not calm is either not generous or not patient.
If fred is either patient or old then paul... | Paul is strong. | entailment | (((curious(fred)<~>~old(fred)))<=>((quiet(paul)<~>rich(paul))))&
((?[X]:((generous(X)|~funny(X))))=>(~strong(john)))&
(![X]:(~kind(X)<=>~quiet(X)))&
(![X]:((~wise(X)|~calm(X))=>(~generous(X)<~>~patient(X))))&
(((patient(fred)<~>old(fred)))<=>(~funny(paul)))&
((?[X]:((~quiet(X)&~humble(X))))=>((~generous(john)&~funny(jo... | strong(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 295246341609941590846581
% SZS output start Proof for 295246341609941590846581
8. ! [X0] : ((~curious(X0) | ~strong(X0)) <=> (~humble(X0) & humble(X0))) [input p7]
22. ~strong(paul) [input hypothesis]
37. ! [X0] : (((~curious(X0) | ~strong(X0)) | (humble(X0) | ~humble(X0))) & ((~humble(X0... | 0 |
If someone is both funny and not humble then someone is either not wise or kind.
Everyone who is humble or curious is either happy or not happy.
If someone is either not kind or not curious then paul is both not patient and not tall and vice versa.
If john is not quiet then alice is either old or not kind.
If susan is ... | Susan is strong. | contradiction | ((?[X]:((funny(X)&~humble(X))))=>(?[X]:((~wise(X)<~>kind(X)))))&
(![X]:((humble(X)|curious(X))=>(happy(X)<~>~happy(X))))&
((?[X]:((~kind(X)<~>~curious(X))))<=>((~patient(paul)&~tall(paul))))&
((~quiet(john))=>((old(alice)<~>~kind(alice))))&
(((wise(susan)&~patient(susan)))=>(old(alice)))&
((?[X]:((strong(X)&~strong(X))... | strong(susan) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7097862004357288855933723
% SZS output start Proof for 7097862004357288855933723
6. ? [X0] : (~strong(X0) & strong(X0)) <=> ? [X0] : (quiet(X0) | kind(X0)) [input p5]
7. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~curious(X0) | ~quiet(X0))) [input p6]
22. strong(susan) [input hypothesis]
24... | 0 |
If paul is both not strong and not tall then susan is either humble or not generous and vice versa. Everyone who is either not old or creative is both not humble and tall. If john is creative or not curious then someone is not calm and vice versa. Everyone who is both rich and brave is rich or not curious and vice vers... | Susan is not tall. | neutral | (((~strong(paul)&~tall(paul)))<=>((humble(susan)<~>~generous(susan))))&
(![X]:((~old(X)<~>creative(X))=>(~humble(X)&tall(X))))&
(((creative(john)|~curious(john)))<=>(?[X]:(~calm(X))))&
(![X]:((rich(X)&brave(X))<=>(rich(X)|~curious(X))))&
(![X]:(old(X)=>(happy(X)&tall(X))))&
((?[X]:((generous(X)<~>~kind(X))))=>(?[X]:(~t... | ~tall(susan) | [] | null | 0 |
Everyone who is funny or quiet is not generous and vice versa. Everyone who is either not wise or not funny is both strong and not kind and vice versa. If someone is both patient and not brave then paul is either tall or not generous and vice versa. Everyone who is not generous or not rich is both not kind and curious ... | Fred is quiet. | neutral | (![X]:((funny(X)|quiet(X))<=>~generous(X)))&
(![X]:((~wise(X)<~>~funny(X))<=>(strong(X)&~kind(X))))&
((?[X]:((patient(X)&~brave(X))))<=>((tall(paul)<~>~generous(paul))))&
(![X]:((~generous(X)|~rich(X))<=>(~kind(X)&curious(X))))&
((?[X]:((strong(X)|curious(X))))<=>(?[X]:(~wise(X))))&
(![X]:((patient(X)<~>~tall(X))=>(hap... | quiet(fred) | [] | null | 0 |
Everyone who is both not curious and curious is either patient or not calm and vice versa. If paul is both not wise and not brave then someone is kind or not creative and vice versa. Everyone who is both calm and patient is not calm or funny. If someone is both old and not curious then someone is either not funny or no... | Alice is not generous. | contradiction | (![X]:((~curious(X)&curious(X))<=>(patient(X)<~>~calm(X))))&
(((~wise(paul)&~brave(paul)))<=>(?[X]:((kind(X)|~creative(X)))))&
(![X]:((calm(X)&patient(X))=>(~calm(X)|funny(X))))&
((?[X]:((old(X)&~curious(X))))<=>(?[X]:((~funny(X)<~>~rich(X)))))&
((?[X]:((~happy(X)|~wise(X))))=>((tall(alice)&generous(alice))))&
(![X]:((... | ~generous(alice) | [
"p1",
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5368315360659134625133912
% SZS output start Proof for 5368315360659134625133912
2. (~brave(paul) & ~wise(paul)) <=> ? [X0] : (~creative(X0) | kind(X0)) [input p1]
5. ? [X0] : (~wise(X0) | ~happy(X0)) => (generous(alice) & tall(alice)) [input p4]
17. ? [X0] : kind(X0) [input p16]
24. ~gen... | 0 |
If someone is either happy or not quiet then john is both not kind and happy and vice versa.
Everyone who is either brave or curious is either calm or curious and vice versa.
Everyone who is not humble or creative is both not quiet and rich and vice versa.
If paul is both tall and not humble then alice is strong or not... | Susan is humble. | entailment | ((?[X]:((happy(X)<~>~quiet(X))))<=>((~kind(john)&happy(john))))&
(![X]:((brave(X)<~>curious(X))<=>(calm(X)<~>curious(X))))&
(![X]:((~humble(X)|creative(X))<=>(~quiet(X)&rich(X))))&
(((tall(paul)&~humble(paul)))=>((strong(alice)|~kind(alice))))&
(((~tall(paul)<~>~generous(paul)))<=>((~creative(mary)&old(mary))))&
(![X]:... | humble(susan) | [
"p2",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5183904234250689571493395
% SZS output start Proof for 5183904234250689571493395
3. ! [X0] : ((creative(X0) | ~humble(X0)) <=> (rich(X0) & ~quiet(X0))) [input p2]
22. ~rich(susan) & old(susan) [input p21]
24. ~humble(susan) [input hypothesis]
40. ! [X0] : (((creative(X0) | ~humble(X0)) | ... | 0 |
Everyone who is either kind or not patient is tall and vice versa. Everyone who is creative is not funny or not generous. Everyone who is not old or humble is either humble or generous. Everyone who is calm or happy is kind and vice versa. Everyone who is quiet is both not generous and not kind. Everyone who is both ki... | Fred is not curious. | entailment | (![X]:((kind(X)<~>~patient(X))<=>tall(X)))&
(![X]:(creative(X)=>(~funny(X)|~generous(X))))&
(![X]:((~old(X)|humble(X))=>(humble(X)<~>generous(X))))&
(![X]:((calm(X)|happy(X))<=>kind(X)))&
(![X]:(quiet(X)=>(~generous(X)&~kind(X))))&
(![X]:((kind(X)&generous(X))<=>(rich(X)|~brave(X))))&
(((~brave(alice)&funny(alice)))=>(... | ~curious(fred) | [
"p2",
"p5",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1315513996310111051648548
% SZS output start Proof for 1315513996310111051648548
3. ! [X0] : ((humble(X0) | ~old(X0)) => (humble(X0) <~> generous(X0))) [input p2]
6. ! [X0] : ((generous(X0) & kind(X0)) <=> (~brave(X0) | rich(X0))) [input p5]
16. ! [X0] : ((~humble(X0) | ~funny(X0)) <=> (~... | 0 |
Everyone who is both not creative and curious is either strong or wise and vice versa.
Everyone who is not curious or funny is either not strong or not generous and vice versa.
If someone is not wise or calm then mary is either old or not kind and vice versa.
If alice is not funny or not old then someone is both curiou... | Lucy is not generous. | entailment | (![X]:((~creative(X)&curious(X))<=>(strong(X)<~>wise(X))))&
(![X]:((~curious(X)|funny(X))<=>(~strong(X)<~>~generous(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((old(mary)<~>~kind(mary))))&
(((~funny(alice)|~old(alice)))=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~old(X)|~strong(X))<=>(~generous(X)&tall(X))))&
(![X]:((humb... | ~generous(lucy) | [
"p1",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3035526551496557901168644
% SZS output start Proof for 3035526551496557901168644
2. ! [X0] : ((funny(X0) | ~curious(X0)) <=> (~strong(X0) <~> ~generous(X0))) [input p1]
5. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (tall(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((tall(X0) | ~funny(X0)) <... | 0 |
Everyone who is not brave is both not kind and funny.
If someone is not creative then someone is not rich and vice versa.
Everyone who is not quiet is not tall and vice versa.
If someone is both not quiet and not rich then fred is both humble and not patient and vice versa.
Everyone who is not generous or strong is bra... | John is creative. | entailment | (![X]:(~brave(X)=>(~kind(X)&funny(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(~rich(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((~quiet(X)&~rich(X))))<=>((humble(fred)&~patient(fred))))&
(![X]:((~generous(X)|strong(X))=>brave(X)))&
(![X]:((old(X)<~>kind(X))=>old(X)))&
(![X]:((~wise(X)|~generous(X))=>happy(X)))&
(((funny(s... | creative(john) | [
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6641314830857956128684052
% SZS output start Proof for 6641314830857956128684052
7. ! [X0] : ((~generous(X0) | ~wise(X0)) => happy(X0)) [input p6]
12. ! [X0] : ((~happy(X0) & happy(X0)) <=> (happy(X0) | patient(X0))) [input p11]
16. ! [X0] : ((wise(X0) <~> creative(X0)) => (~quiet(X0) & c... | 0 |
If alice is both brave and kind then someone is patient and vice versa.
Everyone who is both wise and generous is strong or not strong.
Everyone who is either not funny or quiet is generous.
If someone is not funny or not humble then someone is not happy and vice versa.
Everyone who is not kind or old is both not tall ... | Alice is patient. | contradiction | (((brave(alice)&kind(alice)))<=>(?[X]:(patient(X))))&
(![X]:((wise(X)&generous(X))=>(strong(X)|~strong(X))))&
(![X]:((~funny(X)<~>quiet(X))=>generous(X)))&
((?[X]:((~funny(X)|~humble(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)|old(X))=>(~tall(X)&curious(X))))&
(((generous(alice)<~>~patient(alice)))=>(?[X]:((tall(X)<~... | patient(alice) | [
"p7",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3439712196834840357560294
% SZS output start Proof for 3439712196834840357560294
8. ! [X0] : ((~old(X0) & patient(X0)) => ~kind(X0)) [input p7]
10. ! [X0] : ((kind(X0) & ~old(X0)) <=> (~generous(X0) | happy(X0))) [input p9]
11. ? [X0] : (~quiet(X0) & ~patient(X0)) <=> ? [X0] : old(X0) [in... | 0 |
Everyone who is either not calm or not quiet is both funny and tall and vice versa.
Everyone who is old is not calm.
If john is both not creative and quiet then someone is not wise or rich and vice versa.
If lucy is either not creative or curious then lucy is happy or tall.
If paul is both not curious and not wise then... | John is tall. | contradiction | (![X]:((~calm(X)<~>~quiet(X))<=>(funny(X)&tall(X))))&
(![X]:(old(X)=>~calm(X)))&
(((~creative(john)&quiet(john)))<=>(?[X]:((~wise(X)|rich(X)))))&
(((~creative(lucy)<~>curious(lucy)))=>((happy(lucy)|tall(lucy))))&
(((~curious(paul)&~wise(paul)))<=>((~kind(susan)|~creative(susan))))&
((?[X]:((calm(X)&humble(X))))=>((~old... | tall(john) | [
"p0",
"p2",
"p6",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3658776111482452019882455
% SZS output start Proof for 3658776111482452019882455
1. ! [X0] : ((~calm(X0) <~> ~quiet(X0)) <=> (tall(X0) & funny(X0))) [input p0]
3. (quiet(john) & ~creative(john)) <=> ? [X0] : (rich(X0) | ~wise(X0)) [input p2]
7. ! [X0] : ((~rich(X0) | ~curious(X0)) => (bra... | 0 |
If lucy is either old or not happy then mary is tall.
Everyone who is quiet is either not patient or not strong and vice versa.
If someone is not wise or not humble then someone is both not kind and not quiet and vice versa.
If susan is either patient or not funny then someone is not brave and vice versa.
If someone is... | John is wise. | entailment | (((old(lucy)<~>~happy(lucy)))=>(tall(mary)))&
(![X]:(quiet(X)<=>(~patient(X)<~>~strong(X))))&
((?[X]:((~wise(X)|~humble(X))))<=>(?[X]:((~kind(X)&~quiet(X)))))&
(((patient(susan)<~>~funny(susan)))<=>(?[X]:(~brave(X))))&
((?[X]:((~quiet(X)|calm(X))))=>((tall(lucy)<~>~brave(lucy))))&
((?[X]:((wise(X)|~tall(X))))<=>(happy(... | wise(john) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 159312347244934919136545
% SZS output start Proof for 159312347244934919136545
3. ? [X0] : (~humble(X0) | ~wise(X0)) <=> ? [X0] : (~quiet(X0) & ~kind(X0)) [input p2]
13. ! [X0] : ((old(X0) & ~old(X0)) <=> ~quiet(X0)) [input p12]
25. ~wise(john) [input hypothesis]
26. ? [X0] : (~humble(X0)... | 0 |
Everyone who is both not generous and strong is not rich or not curious. Everyone who is both brave and strong is both patient and brave and vice versa. Everyone who is not brave is not quiet. Everyone who is old is both not humble and old and vice versa. If someone is quiet then alice is both creative and not old and ... | John is funny. | neutral | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:((brave(X)&strong(X))<=>(patient(X)&brave(X))))&
(![X]:(~brave(X)=>~quiet(X)))&
(![X]:(old(X)<=>(~humble(X)&old(X))))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong... | funny(john) | [] | null | 0 |
Everyone who is both not calm and not strong is not strong and vice versa.
Everyone who is both old and not happy is both kind and funny.
Everyone who is both generous and not tall is both creative and tall and vice versa.
If john is either not brave or strong then someone is brave or not tall and vice versa.
If someon... | Mary is not tall. | contradiction | (![X]:((~calm(X)&~strong(X))<=>~strong(X)))&
(![X]:((old(X)&~happy(X))=>(kind(X)&funny(X))))&
(![X]:((generous(X)&~tall(X))<=>(creative(X)&tall(X))))&
(((~brave(john)<~>strong(john)))<=>(?[X]:((brave(X)|~tall(X)))))&
((?[X]:(~strong(X)))<=>(~patient(paul)))&
((?[X]:(~rich(X)))<=>(?[X]:((generous(X)<~>~humble(X)))))&
((... | ~tall(mary) | [
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8378093009537899811896580
% SZS output start Proof for 8378093009537899811896580
3. ! [X0] : ((~tall(X0) & generous(X0)) <=> (tall(X0) & creative(X0))) [input p2]
18. ~old(mary) & generous(mary) [input p17]
25. ~tall(mary) [input hypothesis]
28. generous(mary) [pure predicate removal 18]
... | 0 |
If susan is humble then lucy is either not happy or tall. Everyone who is both not brave and curious is either funny or creative and vice versa. If john is both not brave and happy then someone is strong and vice versa. Everyone who is both strong and not wise is rich and vice versa. If paul is both wise and not brave ... | John is brave. | contradiction | ((humble(susan))=>((~happy(lucy)<~>tall(lucy))))&
(![X]:((~brave(X)&curious(X))<=>(funny(X)<~>creative(X))))&
(((~brave(john)&happy(john)))<=>(?[X]:(strong(X))))&
(![X]:((strong(X)&~wise(X))<=>rich(X)))&
(((wise(paul)&~brave(paul)))<=>((~happy(fred)|happy(fred))))&
(![X]:((funny(X)<~>quiet(X))=>(~happy(X)&~patient(X)))... | brave(john) | [
"p2",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6936300937137235120823698
% SZS output start Proof for 6936300937137235120823698
3. (happy(john) & ~brave(john)) <=> ? [X0] : strong(X0) [input p2]
20. strong(lucy) [input p19]
25. brave(john) [input hypothesis]
41. ((happy(john) & ~brave(john)) | ! [X0] : ~strong(X0)) & (? [X0] : strong(... | 0 |
Everyone who is strong is happy or not old and vice versa.
Everyone who is both rich and not calm is both wise and tall.
Everyone who is not creative or humble is both wise and not calm.
If someone is either not funny or curious then someone is both not patient and generous and vice versa.
Everyone who is both not happ... | Alice is not old. | contradiction | (![X]:(strong(X)<=>(happy(X)|~old(X))))&
(![X]:((rich(X)&~calm(X))=>(wise(X)&tall(X))))&
(![X]:((~creative(X)|humble(X))=>(wise(X)&~calm(X))))&
((?[X]:((~funny(X)<~>curious(X))))<=>(?[X]:((~patient(X)&generous(X)))))&
(![X]:((~happy(X)&~tall(X))<=>humble(X)))&
(![X]:(old(X)<=>patient(X)))&
((?[X]:((~brave(X)<~>strong(X... | ~old(alice) | [
"p4",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 829864553249909894109220
% SZS output start Proof for 829864553249909894109220
5. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> humble(X0)) [input p4]
16. ! [X0] : (~old(X0) <=> (~tall(X0) | humble(X0))) [input p15]
18. tall(alice) [input p17]
25. ~old(alice) [input hypothesis]
53. ! [X0] : (((~... | 0 |
Everyone who is both not generous and patient is either calm or rich. Everyone who is both patient and not old is either not wise or generous and vice versa. If someone is not happy then someone is both old and rich. If susan is not kind then someone is not funny or not tall. Everyone who is rich or not curious is calm... | Fred is not generous. | contradiction | (![X]:((~generous(X)&patient(X))=>(calm(X)<~>rich(X))))&
(![X]:((patient(X)&~old(X))<=>(~wise(X)<~>generous(X))))&
((?[X]:(~happy(X)))=>(?[X]:((old(X)&rich(X)))))&
((~kind(susan))=>(?[X]:((~funny(X)|~tall(X)))))&
(![X]:((rich(X)|~curious(X))<=>calm(X)))&
(![X]:((quiet(X)<~>happy(X))<=>(happy(X)<~>creative(X))))&
((?[X]... | ~generous(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4441207125941298252645028
% SZS output start Proof for 4441207125941298252645028
22. generous(fred) [input p21]
25. ~generous(fred) [input hypothesis]
144. generous(fred) [cnf transformation 22]
148. ~generous(fred) [cnf transformation 25]
327. $false [subsumption resolution 148,144]
% SZ... | 0 |
Everyone who is either kind or rich is tall or not strong and vice versa. If someone is not happy or not curious then john is not humble. If someone is not rich then someone is either tall or not wise. Everyone who is either happy or curious is creative and vice versa. Everyone who is both not creative and humble is bo... | Mary is funny. | contradiction | (![X]:((kind(X)<~>rich(X))<=>(tall(X)|~strong(X))))&
((?[X]:((~happy(X)|~curious(X))))=>(~humble(john)))&
((?[X]:(~rich(X)))=>(?[X]:((tall(X)<~>~wise(X)))))&
(![X]:((happy(X)<~>curious(X))<=>creative(X)))&
(![X]:((~creative(X)&humble(X))<=>(~old(X)&curious(X))))&
((?[X]:((~happy(X)|~kind(X))))=>((generous(john)&~quiet(... | funny(mary) | [
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8418054496810299916916129
% SZS output start Proof for 8418054496810299916916129
9. ! [X0] : ((~wise(X0) | wise(X0)) => (~wise(X0) & ~curious(X0))) [input p8]
12. ! [X0] : ((old(X0) & ~generous(X0)) <=> (funny(X0) | patient(X0))) [input p11]
14. ! [X0] : ((~curious(X0) | humble(X0)) => (g... | 0 |
Everyone who is either tall or not calm is both not brave and creative. If paul is both curious and not curious then mary is both not strong and happy and vice versa. Everyone who is not creative is either not brave or not kind. Everyone who is not tall or not humble is calm. If mary is both kind and not rich then fred... | Lucy is generous. | entailment | (![X]:((tall(X)<~>~calm(X))=>(~brave(X)&creative(X))))&
(((curious(paul)&~curious(paul)))<=>((~strong(mary)&happy(mary))))&
(![X]:(~creative(X)=>(~brave(X)<~>~kind(X))))&
(![X]:((~tall(X)|~humble(X))=>calm(X)))&
(((kind(mary)&~rich(mary)))<=>(~strong(fred)))&
((?[X]:(~curious(X)))=>((~creative(lucy)<~>~brave(lucy))))&
... | generous(lucy) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8565587889136845151136378
% SZS output start Proof for 8565587889136845151136378
10. ! [X0] : (~brave(X0) <=> (~generous(X0) | ~old(X0))) [input p9]
21. brave(lucy) | generous(lucy) [input p20]
23. ~generous(lucy) [input hypothesis]
45. ! [X0] : ((~brave(X0) | (generous(X0) & old(X0))) & ... | 0 |
Everyone who is not old or not patient is brave or not patient and vice versa.
Everyone who is either strong or not generous is both happy and not patient and vice versa.
Everyone who is brave or not happy is both kind and not calm.
Everyone who is rich is wise or not tall.
Everyone who is either not curious or not cal... | Paul is not brave. | entailment | (![X]:((~old(X)|~patient(X))<=>(brave(X)|~patient(X))))&
(![X]:((strong(X)<~>~generous(X))<=>(happy(X)&~patient(X))))&
(![X]:((brave(X)|~happy(X))=>(kind(X)&~calm(X))))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~... | ~brave(paul) | [
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4710639045676295485854511
% SZS output start Proof for 4710639045676295485854511
5. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p4]
7. ! [X0] : (~rich(X0) <=> (calm(X0) & ~calm(X0))) [input p6]
8. ? [X0] : (brave(X0) | humble(X0)) => ? [X0] : ~rich(X0) [input p7]
23. br... | 0 |
If alice is old then someone is either not humble or funny.
If someone is either humble or not humble then mary is either curious or not happy and vice versa.
Everyone who is both not funny and tall is not funny and vice versa.
If alice is either brave or funny then someone is both not wise and not brave.
If john is ha... | Alice is not funny. | neutral | ((old(alice))=>(?[X]:((~humble(X)<~>funny(X)))))&
((?[X]:((humble(X)<~>~humble(X))))<=>((curious(mary)<~>~happy(mary))))&
(![X]:((~funny(X)&tall(X))<=>~funny(X)))&
(((brave(alice)<~>funny(alice)))=>(?[X]:((~wise(X)&~brave(X)))))&
((happy(john))<=>(?[X]:((curious(X)&patient(X)))))&
(![X]:((~calm(X)<~>happy(X))<=>(patien... | ~funny(alice) | [] | null | 0 |
If mary is creative then paul is both creative and not calm and vice versa. Everyone who is either patient or not patient is both not wise and not generous and vice versa. If someone is either tall or not humble then someone is both curious and not creative. If someone is either not wise or curious then someone is eith... | Paul is strong. | entailment | ((creative(mary))<=>((creative(paul)&~calm(paul))))&
(![X]:((patient(X)<~>~patient(X))<=>(~wise(X)&~generous(X))))&
((?[X]:((tall(X)<~>~humble(X))))=>(?[X]:((curious(X)&~creative(X)))))&
((?[X]:((~wise(X)<~>curious(X))))<=>(?[X]:((~patient(X)<~>~calm(X)))))&
(![X]:((patient(X)|~patient(X))=>~calm(X)))&
((?[X]:((~old(X)... | strong(paul) | [
"p1",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4381843910156242252596970
% SZS output start Proof for 4381843910156242252596970
2. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (~generous(X0) & ~wise(X0))) [input p1]
5. ! [X0] : ((~patient(X0) | patient(X0)) => ~calm(X0)) [input p4]
8. ? [X0] : (calm(X0) | generous(X0)) <=> ? [X0] : (b... | 0 |
If someone is tall then lucy is creative or strong and vice versa. Everyone who is generous or not strong is either curious or not wise and vice versa. Everyone who is not humble is either curious or not patient and vice versa. If someone is calm then john is not strong. If mary is both not wise and not tall then fred ... | Alice is funny. | neutral | ((?[X]:(tall(X)))<=>((creative(lucy)|strong(lucy))))&
(![X]:((generous(X)|~strong(X))<=>(curious(X)<~>~wise(X))))&
(![X]:(~humble(X)<=>(curious(X)<~>~patient(X))))&
((?[X]:(calm(X)))=>(~strong(john)))&
(((~wise(mary)&~tall(mary)))=>((~funny(fred)<~>~rich(fred))))&
(![X]:((~patient(X)<~>calm(X))<=>(rich(X)&~happy(X))))&... | funny(alice) | [] | null | 0 |
Everyone who is calm is both not quiet and not strong.
If someone is either not curious or not wise then someone is not tall or tall.
If john is happy then mary is quiet.
If someone is either calm or not brave then someone is not old and vice versa.
If someone is patient or not funny then someone is both not humble and... | Mary is not calm. | entailment | (![X]:(calm(X)=>(~quiet(X)&~strong(X))))&
((?[X]:((~curious(X)<~>~wise(X))))=>(?[X]:((~tall(X)|tall(X)))))&
((happy(john))=>(quiet(mary)))&
((?[X]:((calm(X)<~>~brave(X))))<=>(?[X]:(~old(X))))&
((?[X]:((patient(X)|~funny(X))))=>(?[X]:((~humble(X)&~calm(X)))))&
(((~generous(paul)&quiet(paul)))=>(~old(john)))&
(![X]:((~ki... | ~calm(mary) | [
"p0",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7043722325055084727624694
% SZS output start Proof for 7043722325055084727624694
1. ! [X0] : (calm(X0) => (~strong(X0) & ~quiet(X0))) [input p0]
20. quiet(mary) [input p19]
25. calm(mary) [input hypothesis]
31. ! [X0] : ((~strong(X0) & ~quiet(X0)) | ~calm(X0)) [ennf transformation 1]
95. ... | 0 |
Everyone who is either kind or tall is both patient and brave and vice versa. If paul is either not brave or not old then someone is not kind. Everyone who is not generous is happy and vice versa. If john is either generous or curious then susan is quiet or happy. If someone is old then paul is not rich or curious and ... | Paul is calm. | contradiction | (![X]:((kind(X)<~>tall(X))<=>(patient(X)&brave(X))))&
(((~brave(paul)<~>~old(paul)))=>(?[X]:(~kind(X))))&
(![X]:(~generous(X)<=>happy(X)))&
(((generous(john)<~>curious(john)))=>((quiet(susan)|happy(susan))))&
((?[X]:(old(X)))<=>((~rich(paul)|curious(paul))))&
((?[X]:(~brave(X)))<=>(~strong(fred)))&
(![X]:((~happy(X)&ta... | calm(paul) | [
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 30355352107727492510152
% SZS output start Proof for 30355352107727492510152
14. ! [X0] : ((~rich(X0) | strong(X0)) <=> (~calm(X0) & ~curious(X0))) [input p13]
16. ! [X0] : ((~strong(X0) <~> ~tall(X0)) => (~wise(X0) & ~calm(X0))) [input p15]
23. tall(paul) & ~brave(paul) [input p22]
25. c... | 0 |
Everyone who is not calm is both not creative and not humble.
Everyone who is kind or generous is patient or creative.
Everyone who is both happy and not strong is not brave and vice versa.
Everyone who is not tall or quiet is either not calm or humble and vice versa.
If someone is both old and quiet then someone is ei... | Paul is not generous. | contradiction | (![X]:(~calm(X)=>(~creative(X)&~humble(X))))&
(![X]:((kind(X)|generous(X))=>(patient(X)|creative(X))))&
(![X]:((happy(X)&~strong(X))<=>~brave(X)))&
(![X]:((~tall(X)|quiet(X))<=>(~calm(X)<~>humble(X))))&
((?[X]:((old(X)&quiet(X))))<=>(?[X]:((~curious(X)<~>happy(X)))))&
(![X]:((rich(X)&wise(X))=>(funny(X)|kind(X))))&
(![... | ~generous(paul) | [
"p0",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 901459312179632874254438
% SZS output start Proof for 901459312179632874254438
1. ! [X0] : (~calm(X0) => (~humble(X0) & ~creative(X0))) [input p0]
18. creative(paul) [input p17]
21. generous(paul) | ~calm(paul) [input p20]
25. ~generous(paul) [input hypothesis]
32. ! [X0] : ((~humble(X0) ... | 0 |
If someone is not happy then someone is not rich and vice versa. Everyone who is generous or curious is either not wise or curious. If someone is either strong or calm then someone is not kind or not creative. If someone is either wise or not rich then someone is both strong and not brave. Everyone who is both quiet an... | Mary is curious. | neutral | ((?[X]:(~happy(X)))<=>(?[X]:(~rich(X))))&
(![X]:((generous(X)|curious(X))=>(~wise(X)<~>curious(X))))&
((?[X]:((strong(X)<~>calm(X))))=>(?[X]:((~kind(X)|~creative(X)))))&
((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((strong(X)&~brave(X)))))&
(![X]:((quiet(X)&brave(X))<=>(rich(X)|funny(X))))&
(![X]:((quiet(X)<~>old(X))<=>(humb... | curious(mary) | [] | null | 0 |
Everyone who is either not calm or creative is both not generous and funny.
Everyone who is rich is both not tall and not calm.
If someone is not strong or strong then someone is both happy and not tall and vice versa.
If someone is generous or not humble then john is both not creative and not quiet and vice versa.
If ... | Paul is funny. | entailment | (![X]:((~calm(X)<~>creative(X))=>(~generous(X)&funny(X))))&
(![X]:(rich(X)=>(~tall(X)&~calm(X))))&
((?[X]:((~strong(X)|strong(X))))<=>(?[X]:((happy(X)&~tall(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~creative(john)&~quiet(john))))&
(((~old(alice)<~>~humble(alice)))<=>((funny(lucy)|~quiet(lucy))))&
(![X]:((~patient... | funny(paul) | [
"p0",
"p1",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7284928534967572406788492
% SZS output start Proof for 7284928534967572406788492
1. ! [X0] : ((~calm(X0) <~> creative(X0)) => (funny(X0) & ~generous(X0))) [input p0]
2. ! [X0] : (rich(X0) => (~calm(X0) & ~tall(X0))) [input p1]
6. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (quiet(X0) | curiou... | 0 |
Everyone who is not patient or calm is either humble or creative and vice versa. Everyone who is both funny and not calm is happy. Everyone who is either strong or humble is funny or curious and vice versa. If someone is either not tall or funny then paul is not creative. Everyone who is both brave and humble is either... | Fred is happy. | contradiction | (![X]:((~patient(X)|calm(X))<=>(humble(X)<~>creative(X))))&
(![X]:((funny(X)&~calm(X))=>happy(X)))&
(![X]:((strong(X)<~>humble(X))<=>(funny(X)|curious(X))))&
((?[X]:((~tall(X)<~>funny(X))))=>(~creative(paul)))&
(![X]:((brave(X)&humble(X))=>(~calm(X)<~>quiet(X))))&
(((creative(alice)<~>quiet(alice)))=>(?[X]:((~curious(X... | happy(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6116259709843812534475173
% SZS output start Proof for 6116259709843812534475173
16. ! [X0] : ((~old(X0) | happy(X0)) => (~funny(X0) & ~happy(X0))) [input p15]
23. happy(fred) [input hypothesis]
35. ! [X0] : ((~funny(X0) & ~happy(X0)) | (old(X0) & ~happy(X0))) [ennf transformation 16]
115... | 0 |
If someone is both not quiet and rich then fred is brave or not rich.
Everyone who is not funny is both quiet and not strong.
Everyone who is either tall or not generous is both not old and not happy.
If lucy is both not generous and not brave then susan is not wise or wise and vice versa.
Everyone who is wise or creat... | Paul is not happy. | contradiction | ((?[X]:((~quiet(X)&rich(X))))=>((brave(fred)|~rich(fred))))&
(![X]:(~funny(X)=>(quiet(X)&~strong(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~old(X)&~happy(X))))&
(((~generous(lucy)&~brave(lucy)))<=>((~wise(susan)|wise(susan))))&
(![X]:((wise(X)|creative(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((~happy(X)&~rich(X))=>(~generou... | ~happy(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3997293461679292676828232
% SZS output start Proof for 3997293461679292676828232
22. happy(paul) & creative(paul) [input p21]
25. ~happy(paul) [input hypothesis]
124. happy(paul) [cnf transformation 22]
127. ~happy(paul) [cnf transformation 25]
217. $false [subsumption resolution 127,124]... | 0 |
If paul is brave or not humble then someone is not humble and vice versa. Everyone who is not quiet is both not happy and old. Everyone who is brave or strong is both calm and old. If mary is either funny or not wise then someone is both tall and strong and vice versa. Everyone who is not calm or not quiet is humble an... | Alice is not generous. | entailment | (((brave(paul)|~humble(paul)))<=>(?[X]:(~humble(X))))&
(![X]:(~quiet(X)=>(~happy(X)&old(X))))&
(![X]:((brave(X)|strong(X))=>(calm(X)&old(X))))&
(((funny(mary)<~>~wise(mary)))<=>(?[X]:((tall(X)&strong(X)))))&
(![X]:((~calm(X)|~quiet(X))<=>humble(X)))&
(((~humble(lucy)<~>creative(lucy)))=>((~happy(lucy)<~>brave(lucy))))&... | ~generous(alice) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p10",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5711747769916489116441869
% SZS output start Proof for 5711747769916489116441869
2. ! [X0] : (~quiet(X0) => (old(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((strong(X0) | brave(X0)) => (old(X0) & calm(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> humble(X0)) [input p4]
6. (~hu... | 0 |
If someone is quiet then paul is not humble. Everyone who is both funny and not brave is both not old and creative and vice versa. Everyone who is both happy and tall is patient. If someone is both curious and generous then lucy is generous. If someone is old or not curious then john is old or not generous. Everyone wh... | Paul is not rich. | contradiction | ((?[X]:(quiet(X)))=>(~humble(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~old(X)&creative(X))))&
(![X]:((happy(X)&tall(X))=>patient(X)))&
((?[X]:((curious(X)&generous(X))))=>(generous(lucy)))&
((?[X]:((old(X)|~curious(X))))=>((old(john)|~generous(john))))&
(![X]:(rich(X)<=>(happy(X)|funny(X))))&
(((~curious(alice)&~brave(a... | ~rich(paul) | [
"p0",
"p5",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 242975352573741122841163
% SZS output start Proof for 242975352573741122841163
1. ? [X0] : quiet(X0) => ~humble(paul) [input p0]
6. ! [X0] : (rich(X0) <=> (funny(X0) | happy(X0))) [input p5]
10. ! [X0] : (~humble(X0) => (~brave(X0) & funny(X0))) [input p9]
16. ! [X0] : (quiet(X0) <=> ~old... | 0 |
If someone is both brave and rich then alice is either humble or patient and vice versa.
If someone is not funny then susan is not kind and vice versa.
If mary is either funny or not funny then fred is not funny or wise.
Everyone who is not funny or funny is both quiet and not brave.
If someone is tall then lucy is eit... | John is tall. | contradiction | ((?[X]:((brave(X)&rich(X))))<=>((humble(alice)<~>patient(alice))))&
((?[X]:(~funny(X)))<=>(~kind(susan)))&
(((funny(mary)<~>~funny(mary)))=>((~funny(fred)|wise(fred))))&
(![X]:((~funny(X)|funny(X))=>(quiet(X)&~brave(X))))&
((?[X]:(tall(X)))=>((~tall(lucy)<~>patient(lucy))))&
(((~curious(john)&~happy(john)))<=>(?[X]:((~... | tall(john) | [
"p3",
"p4",
"p5",
"p6",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8637865578267259835839942
% SZS output start Proof for 8637865578267259835839942
4. ! [X0] : ((funny(X0) | ~funny(X0)) => (~brave(X0) & quiet(X0))) [input p3]
5. ? [X0] : tall(X0) => (~tall(lucy) <~> patient(lucy)) [input p4]
6. (~happy(john) & ~curious(john)) <=> ? [X0] : (strong(X0) | ~... | 0 |
If paul is both kind and not tall then someone is both not patient and calm and vice versa.
If paul is not calm or not generous then someone is not brave and vice versa.
If mary is either patient or not creative then susan is strong.
If john is both not creative and patient then lucy is rich.
Everyone who is wise is br... | Mary is strong. | neutral | (((kind(paul)&~tall(paul)))<=>(?[X]:((~patient(X)&calm(X)))))&
(((~calm(paul)|~generous(paul)))<=>(?[X]:(~brave(X))))&
(((patient(mary)<~>~creative(mary)))=>(strong(susan)))&
(((~creative(john)&patient(john)))=>(rich(lucy)))&
(![X]:(wise(X)=>(brave(X)|rich(X))))&
(![X]:(happy(X)=>(~funny(X)<~>~generous(X))))&
(![X]:((~... | strong(mary) | [] | null | 0 |
If someone is either not generous or kind then someone is either old or calm.
Everyone who is not generous is old.
Everyone who is not kind or kind is not happy and vice versa.
If paul is humble or happy then john is old or not patient and vice versa.
Everyone who is either not kind or not old is both not kind and tall... | Paul is old. | neutral | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:((old(X)<~>calm(X)))))&
(![X]:(~generous(X)=>old(X)))&
(![X]:((~kind(X)|kind(X))<=>~happy(X)))&
(((humble(paul)|happy(paul)))<=>((old(john)|~patient(john))))&
(![X]:((~kind(X)<~>~old(X))<=>(~kind(X)&tall(X))))&
(![X]:(~happy(X)=>(~humble(X)&quiet(X))))&
(![X]:((~strong(X)&rich(... | old(paul) | [] | null | 0 |
Everyone who is patient is rich.
If susan is creative or humble then someone is tall and vice versa.
Everyone who is tall or funny is not tall.
If john is either humble or quiet then alice is strong and vice versa.
If someone is not strong or not patient then susan is old and vice versa.
Everyone who is either humble o... | Alice is tall. | contradiction | (![X]:(patient(X)=>rich(X)))&
(((creative(susan)|humble(susan)))<=>(?[X]:(tall(X))))&
(![X]:((tall(X)|funny(X))=>~tall(X)))&
(((humble(john)<~>quiet(john)))<=>(strong(alice)))&
((?[X]:((~strong(X)|~patient(X))))<=>(old(susan)))&
(![X]:((humble(X)<~>curious(X))=>tall(X)))&
((?[X]:(tall(X)))<=>(?[X]:((calm(X)&brave(X))))... | tall(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6953481614287768366857955
% SZS output start Proof for 6953481614287768366857955
3. ! [X0] : ((funny(X0) | tall(X0)) => ~tall(X0)) [input p2]
25. tall(alice) [input hypothesis]
30. ! [X0] : (~tall(X0) | (~funny(X0) & ~tall(X0))) [ennf transformation 3]
99. ~tall(X0) | ~tall(X0) [cnf trans... | 0 |
If someone is either not generous or kind then someone is not happy.
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vi... | Mary is quiet. | contradiction | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:(~happy(X))))&
(((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&... | quiet(mary) | [
"p0",
"p3",
"p7",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 308208129580938062269230
% SZS output start Proof for 308208129580938062269230
1. ? [X0] : (~generous(X0) <~> kind(X0)) => ? [X0] : ~happy(X0) [input p0]
4. ! [X0] : (~funny(X0) <=> (calm(X0) | funny(X0))) [input p3]
8. ! [X0] : ((~patient(X0) <~> wise(X0)) => (kind(X0) & ~old(X0))) [inpu... | 0 |
If someone is wise or rich then someone is either not calm or not generous and vice versa. If someone is creative then john is either not quiet or generous. If someone is not tall or not strong then someone is either kind or rich and vice versa. Everyone who is funny is not funny or not patient. Everyone who is curious... | John is generous. | neutral | ((?[X]:((wise(X)|rich(X))))<=>(?[X]:((~calm(X)<~>~generous(X)))))&
((?[X]:(creative(X)))=>((~quiet(john)<~>generous(john))))&
((?[X]:((~tall(X)|~strong(X))))<=>(?[X]:((kind(X)<~>rich(X)))))&
(![X]:(funny(X)=>(~funny(X)|~patient(X))))&
(![X]:((curious(X)|~rich(X))=>(~calm(X)|~rich(X))))&
(![X]:((patient(X)<~>quiet(X))=>... | generous(john) | [] | null | 0 |
If someone is not funny or quiet then someone is both not rich and not brave and vice versa.
If someone is patient then john is either patient or not curious and vice versa.
Everyone who is both not generous and not funny is strong or not rich.
Everyone who is not kind is not humble.
Everyone who is either tall or not ... | Lucy is quiet. | entailment | ((?[X]:((~funny(X)|quiet(X))))<=>(?[X]:((~rich(X)&~brave(X)))))&
((?[X]:(patient(X)))<=>((patient(john)<~>~curious(john))))&
(![X]:((~generous(X)&~funny(X))=>(strong(X)|~rich(X))))&
(![X]:(~kind(X)=>~humble(X)))&
(![X]:((tall(X)<~>~wise(X))<=>funny(X)))&
(![X]:((~tall(X)|brave(X))<=>(~kind(X)<~>old(X))))&
(![X]:(~patie... | quiet(lucy) | [
"p5",
"p6",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 17320890587881034997252
% SZS output start Proof for 17320890587881034997252
6. ! [X0] : ((brave(X0) | ~tall(X0)) <=> (~kind(X0) <~> old(X0))) [input p5]
7. ! [X0] : (~patient(X0) <=> (old(X0) | ~humble(X0))) [input p6]
8. ? [X0] : (~wise(X0) <~> ~generous(X0)) <=> (~humble(lucy) & quiet(... | 0 |
If someone is rich or calm then susan is generous or happy. Everyone who is both not humble and patient is both not happy and strong and vice versa. Everyone who is not patient is both not funny and strong. If someone is either patient or not curious then someone is kind and vice versa. If someone is either not old or ... | Susan is not generous. | contradiction | ((?[X]:((rich(X)|calm(X))))=>((generous(susan)|happy(susan))))&
(![X]:((~humble(X)&patient(X))<=>(~happy(X)&strong(X))))&
(![X]:(~patient(X)=>(~funny(X)&strong(X))))&
((?[X]:((patient(X)<~>~curious(X))))<=>(?[X]:(kind(X))))&
((?[X]:((~old(X)<~>~funny(X))))=>((~creative(fred)<~>~rich(fred))))&
(![X]:((rich(X)<~>~rich(X)... | ~generous(susan) | [
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 21704427698333922691718
% SZS output start Proof for 21704427698333922691718
6. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> ~creative(X0)) [input p5]
9. ! [X0] : ((rich(X0) & curious(X0)) <=> (~creative(X0) | ~funny(X0))) [input p8]
16. ! [X0] : ((curious(X0) | ~humble(X0)) => generous(X0)) [i... | 0 |
Everyone who is kind or not humble is both not quiet and calm and vice versa.
If someone is both brave and calm then mary is patient or not generous and vice versa.
Everyone who is not old or not humble is not tall or happy and vice versa.
Everyone who is both curious and quiet is not brave.
Everyone who is not old is ... | Fred is not old. | neutral | (![X]:((kind(X)|~humble(X))<=>(~quiet(X)&calm(X))))&
((?[X]:((brave(X)&calm(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~old(X)|~humble(X))<=>(~tall(X)|happy(X))))&
(![X]:((curious(X)&quiet(X))=>~brave(X)))&
(![X]:(~old(X)=>(~tall(X)&~happy(X))))&
((?[X]:((brave(X)|~creative(X))))<=>((brave(susan)&~kind(susan))... | ~old(fred) | [] | null | 0 |
If someone is either strong or kind then susan is not calm and vice versa.
If john is creative then paul is both brave and curious and vice versa.
If someone is either creative or humble then lucy is either creative or calm and vice versa.
If susan is kind then someone is not rich or not funny and vice versa.
If alice ... | Paul is not curious. | entailment | ((?[X]:((strong(X)<~>kind(X))))<=>(~calm(susan)))&
((creative(john))<=>((brave(paul)&curious(paul))))&
((?[X]:((creative(X)<~>humble(X))))<=>((creative(lucy)<~>calm(lucy))))&
((kind(susan))<=>(?[X]:((~rich(X)|~funny(X)))))&
(((wise(alice)|humble(alice)))=>(?[X]:((~tall(X)&~calm(X)))))&
((funny(mary))<=>((quiet(john)<~>... | ~curious(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9042454727778437297749195
% SZS output start Proof for 9042454727778437297749195
11. ! [X0] : ((brave(X0) & ~brave(X0)) <=> (curious(X0) | ~tall(X0))) [input p10]
24. curious(paul) [input hypothesis]
55. ! [X0] : (((brave(X0) & ~brave(X0)) | (~curious(X0) & tall(X0))) & ((curious(X0) | ~t... | 0 |
Everyone who is either not old or patient is humble or kind.
Everyone who is calm is wise and vice versa.
If someone is both calm and curious then paul is not calm or quiet and vice versa.
Everyone who is not strong or funny is creative and vice versa.
If someone is brave or not old then mary is both old and humble and... | Lucy is curious. | neutral | (![X]:((~old(X)<~>patient(X))=>(humble(X)|kind(X))))&
(![X]:(calm(X)<=>wise(X)))&
((?[X]:((calm(X)&curious(X))))<=>((~calm(paul)|quiet(paul))))&
(![X]:((~strong(X)|funny(X))<=>creative(X)))&
((?[X]:((brave(X)|~old(X))))<=>((old(mary)&humble(mary))))&
((?[X]:(wise(X)))=>((creative(john)<~>wise(john))))&
(![X]:(~patient(... | curious(lucy) | [] | null | 0 |
Everyone who is not creative is both not calm and not humble and vice versa. Everyone who is either happy or strong is not quiet or not patient and vice versa. Everyone who is not creative or not curious is both not old and tall and vice versa. If someone is both not curious and not happy then lucy is both wise and not... | Alice is not curious. | neutral | (![X]:(~creative(X)<=>(~calm(X)&~humble(X))))&
(![X]:((happy(X)<~>strong(X))<=>(~quiet(X)|~patient(X))))&
(![X]:((~creative(X)|~curious(X))<=>(~old(X)&tall(X))))&
((?[X]:((~curious(X)&~happy(X))))<=>((wise(lucy)&~calm(lucy))))&
(![X]:((~strong(X)<~>wise(X))=>~quiet(X)))&
(![X]:(humble(X)<=>brave(X)))&
(![X]:(~funny(X)<... | ~curious(alice) | [] | null | 0 |
Everyone who is both wise and not humble is both not patient and not funny and vice versa.
If someone is not funny then someone is both creative and not brave.
If someone is either funny or humble then someone is not old or tall.
If susan is either strong or not quiet then someone is either not humble or not brave.
If ... | Susan is not quiet. | neutral | (![X]:((wise(X)&~humble(X))<=>(~patient(X)&~funny(X))))&
((?[X]:(~funny(X)))=>(?[X]:((creative(X)&~brave(X)))))&
((?[X]:((funny(X)<~>humble(X))))=>(?[X]:((~old(X)|tall(X)))))&
(((strong(susan)<~>~quiet(susan)))=>(?[X]:((~humble(X)<~>~brave(X)))))&
((?[X]:((rich(X)<~>~creative(X))))=>(?[X]:((~brave(X)&creative(X)))))&
(... | ~quiet(susan) | [] | null | 0 |
Everyone who is not old is old or not quiet and vice versa.
Everyone who is both not tall and patient is patient and vice versa.
Everyone who is both generous and not tall is not generous or not happy.
Everyone who is both not humble and not strong is either quiet or not curious and vice versa.
If someone is old then j... | Paul is brave. | entailment | (![X]:(~old(X)<=>(old(X)|~quiet(X))))&
(![X]:((~tall(X)&patient(X))<=>patient(X)))&
(![X]:((generous(X)&~tall(X))=>(~generous(X)|~happy(X))))&
(![X]:((~humble(X)&~strong(X))<=>(quiet(X)<~>~curious(X))))&
((?[X]:(old(X)))<=>((~tall(john)|funny(john))))&
(((~old(susan)&kind(susan)))<=>(?[X]:((~happy(X)|quiet(X)))))&
((?[... | brave(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 200615888280540490887733
% SZS output start Proof for 200615888280540490887733
21. ~funny(paul) & brave(paul) [input p20]
25. ~brave(paul) [input hypothesis]
153. brave(paul) [cnf transformation 21]
161. ~brave(paul) [cnf transformation 25]
330. $false [subsumption resolution 161,153]
% S... | 0 |
If john is patient then susan is either not rich or strong and vice versa.
If lucy is either funny or not patient then john is either not calm or not old and vice versa.
Everyone who is both not patient and not tall is both not curious and not quiet.
Everyone who is old or kind is both rich and strong.
Everyone who is ... | Susan is curious. | contradiction | ((patient(john))<=>((~rich(susan)<~>strong(susan))))&
(((funny(lucy)<~>~patient(lucy)))<=>((~calm(john)<~>~old(john))))&
(![X]:((~patient(X)&~tall(X))=>(~curious(X)&~quiet(X))))&
(![X]:((old(X)|kind(X))=>(rich(X)&strong(X))))&
(![X]:((humble(X)|generous(X))<=>(quiet(X)<~>~patient(X))))&
(![X]:((calm(X)&~tall(X))=>(happ... | curious(susan) | [
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4623782042308621538529225
% SZS output start Proof for 4623782042308621538529225
4. ! [X0] : ((kind(X0) | old(X0)) => (strong(X0) & rich(X0))) [input p3]
15. ! [X0] : ((~curious(X0) & tall(X0)) <=> rich(X0)) [input p14]
16. ! [X0] : (curious(X0) <=> (~wise(X0) & old(X0))) [input p15]
24. ... | 0 |
Everyone who is calm or generous is both not funny and not curious and vice versa.
Everyone who is both not rich and not generous is both not strong and not old.
Everyone who is kind is either curious or generous and vice versa.
If alice is either not old or not quiet then someone is generous.
Everyone who is both funn... | Paul is quiet. | neutral | (![X]:((calm(X)|generous(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~rich(X)&~generous(X))=>(~strong(X)&~old(X))))&
(![X]:(kind(X)<=>(curious(X)<~>generous(X))))&
(((~old(alice)<~>~quiet(alice)))=>(?[X]:(generous(X))))&
(![X]:((funny(X)&~tall(X))<=>~funny(X)))&
(![X]:((~patient(X)&calm(X))=>~funny(X)))&
(((~kind(susan)&k... | quiet(paul) | [] | null | 0 |
If someone is either not creative or not kind then alice is both not curious and not tall.
If someone is both funny and not creative then susan is creative or not creative.
Everyone who is not creative or humble is humble and vice versa.
Everyone who is both curious and not calm is either not happy or happy and vice ve... | Paul is not curious. | contradiction | ((?[X]:((~creative(X)<~>~kind(X))))=>((~curious(alice)&~tall(alice))))&
((?[X]:((funny(X)&~creative(X))))=>((creative(susan)|~creative(susan))))&
(![X]:((~creative(X)|humble(X))<=>humble(X)))&
(![X]:((curious(X)&~calm(X))<=>(~happy(X)<~>happy(X))))&
((?[X]:((brave(X)|patient(X))))<=>(~calm(lucy)))&
(((funny(paul)<~>tal... | ~curious(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 886574359858246806844593
% SZS output start Proof for 886574359858246806844593
4. ! [X0] : ((~calm(X0) & curious(X0)) <=> (~happy(X0) <~> happy(X0))) [input p3]
24. ~curious(paul) [input hypothesis]
39. ! [X0] : (((~calm(X0) & curious(X0)) | ((~happy(X0) | ~happy(X0)) & (happy(X0) | happy... | 0 |
Everyone who is curious is kind and vice versa.
If someone is either not rich or creative then someone is kind and vice versa.
Everyone who is either funny or rich is either not curious or creative and vice versa.
Everyone who is both not brave and not kind is either not patient or kind.
Everyone who is either not happ... | Paul is not happy. | neutral | (![X]:(curious(X)<=>kind(X)))&
((?[X]:((~rich(X)<~>creative(X))))<=>(?[X]:(kind(X))))&
(![X]:((funny(X)<~>rich(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~brave(X)&~kind(X))=>(~patient(X)<~>kind(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(humble(X)|rich(X))))&
(![X]:((kind(X)<~>~old(X))<=>(rich(X)&patient(X))))&
(![X]:((b... | ~happy(paul) | [] | null | 0 |
If someone is funny or not calm then someone is not happy and vice versa. Everyone who is strong is both patient and brave and vice versa. Everyone who is not humble or not funny is both not quiet and not creative. If someone is not kind then someone is not wise or funny. Everyone who is either old or curious is either... | Lucy is quiet. | contradiction | ((?[X]:((funny(X)|~calm(X))))<=>(?[X]:(~happy(X))))&
(![X]:(strong(X)<=>(patient(X)&brave(X))))&
(![X]:((~humble(X)|~funny(X))=>(~quiet(X)&~creative(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~wise(X)|funny(X)))))&
(![X]:((old(X)<~>curious(X))=>(humble(X)<~>~generous(X))))&
(![X]:((humble(X)&~wise(X))<=>rich(X)))&
(![X]:((quie... | quiet(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8328257639701695412404981
% SZS output start Proof for 8328257639701695412404981
7. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> ~quiet(X0)) [input p6]
21. quiet(lucy) [input hypothesis]
42. ! [X0] : ((((quiet(X0) | ~quiet(X0)) & (~quiet(X0) | quiet(X0))) | quiet(X0)) & (~quiet(X0) | ((quiet(... | 0 |
Everyone who is not brave is happy. Everyone who is generous is either creative or not creative. Everyone who is not patient is not patient or generous. Everyone who is patient or curious is both kind and brave. Everyone who is either not generous or not strong is both not old and not patient and vice versa. If susan i... | Alice is not strong. | entailment | (![X]:(~brave(X)=>happy(X)))&
(![X]:(generous(X)=>(creative(X)<~>~creative(X))))&
(![X]:(~patient(X)=>(~patient(X)|generous(X))))&
(![X]:((patient(X)|curious(X))=>(kind(X)&brave(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>(~old(X)&~patient(X))))&
(((creative(susan)&old(susan)))<=>(?[X]:(~generous(X))))&
((?[X]:((~stron... | ~strong(alice) | [
"p6",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6547664356198494586225813
% SZS output start Proof for 6547664356198494586225813
7. ? [X0] : (kind(X0) | ~strong(X0)) => (~strong(alice) & humble(alice)) [input p6]
10. ! [X0] : (~creative(X0) => (~strong(X0) & ~quiet(X0))) [input p9]
17. creative(susan) <~> strong(susan) [input p16]
24. ... | 0 |
Everyone who is not strong or quiet is not calm and vice versa. If someone is either calm or curious then someone is both generous and curious. If john is generous or not creative then paul is both not kind and not calm. If mary is both strong and not brave then alice is either not humble or rich and vice versa. Everyo... | Alice is old. | contradiction | (![X]:((~strong(X)|quiet(X))<=>~calm(X)))&
((?[X]:((calm(X)<~>curious(X))))=>(?[X]:((generous(X)&curious(X)))))&
(((generous(john)|~creative(john)))=>((~kind(paul)&~calm(paul))))&
(((strong(mary)&~brave(mary)))<=>((~humble(alice)<~>rich(alice))))&
(![X]:(~generous(X)<=>(patient(X)<~>~generous(X))))&
(![X]:(~quiet(X)=>~... | old(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8326775568009328740944514
% SZS output start Proof for 8326775568009328740944514
9. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (~strong(X0) | strong(X0))) [input p8]
23. old(alice) [input hypothesis]
48. ! [X0] : (((~strong(X0) & ~old(X0)) | (strong(X0) & ~strong(X0))) & ((~strong(X0) | stron... | 0 |
Everyone who is both not patient and creative is either not patient or calm.
Everyone who is not tall or humble is either not patient or not generous and vice versa.
Everyone who is both not quiet and not strong is either wise or not patient and vice versa.
Everyone who is not curious or not wise is both humble and old... | Lucy is not wise. | entailment | (![X]:((~patient(X)&creative(X))=>(~patient(X)<~>calm(X))))&
(![X]:((~tall(X)|humble(X))<=>(~patient(X)<~>~generous(X))))&
(![X]:((~quiet(X)&~strong(X))<=>(wise(X)<~>~patient(X))))&
(![X]:((~curious(X)|~wise(X))<=>(humble(X)&old(X))))&
(![X]:((brave(X)|~humble(X))=>(quiet(X)<~>happy(X))))&
(![X]:((~brave(X)<~>tall(X))=... | ~wise(lucy) | [
"p2",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1877522636606176414618310
% SZS output start Proof for 1877522636606176414618310
3. ! [X0] : ((~strong(X0) & ~quiet(X0)) <=> (wise(X0) <~> ~patient(X0))) [input p2]
8. ! [X0] : ((happy(X0) & patient(X0)) <=> (wise(X0) | happy(X0))) [input p7]
14. ! [X0] : ((patient(X0) | ~calm(X0)) => (~h... | 0 |
Everyone who is either strong or not rich is generous or not patient. Everyone who is not old is either not calm or kind and vice versa. Everyone who is not strong is either not humble or brave and vice versa. Everyone who is not quiet or not funny is both quiet and not creative and vice versa. If mary is not tall then... | Susan is calm. | contradiction | (![X]:((strong(X)<~>~rich(X))=>(generous(X)|~patient(X))))&
(![X]:(~old(X)<=>(~calm(X)<~>kind(X))))&
(![X]:(~strong(X)<=>(~humble(X)<~>brave(X))))&
(![X]:((~quiet(X)|~funny(X))<=>(quiet(X)&~creative(X))))&
((~tall(mary))<=>(~calm(fred)))&
(![X]:(~generous(X)<=>(quiet(X)|happy(X))))&
(((~happy(susan)&~humble(susan)))=>(... | calm(susan) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 39253326100679736141812
% SZS output start Proof for 39253326100679736141812
2. ! [X0] : (~old(X0) <=> (~calm(X0) <~> kind(X0))) [input p1]
13. ! [X0] : (old(X0) <=> kind(X0)) [input p12]
23. calm(susan) [input hypothesis]
37. ! [X0] : ((~old(X0) | ((~calm(X0) | ~kind(X0)) & (kind(X0) | c... | 0 |
Everyone who is wise or creative is either not curious or not creative and vice versa. If someone is calm then someone is rich or not brave and vice versa. If someone is either not strong or happy then someone is patient. If lucy is both not kind and not curious then someone is either not quiet or curious and vice vers... | Fred is not creative. | neutral | (![X]:((wise(X)|creative(X))<=>(~curious(X)<~>~creative(X))))&
((?[X]:(calm(X)))<=>(?[X]:((rich(X)|~brave(X)))))&
((?[X]:((~strong(X)<~>happy(X))))=>(?[X]:(patient(X))))&
(((~kind(lucy)&~curious(lucy)))<=>(?[X]:((~quiet(X)<~>curious(X)))))&
(![X]:(~funny(X)<=>(kind(X)|generous(X))))&
(![X]:((~rich(X)<~>~humble(X))<=>(t... | ~creative(fred) | [] | null | 0 |
If fred is not humble then someone is both not wise and not old and vice versa.
If someone is either patient or not generous then someone is both not kind and wise.
If someone is both creative and not rich then paul is both brave and funny.
Everyone who is both not creative and old is not funny or patient and vice vers... | Fred is not old. | contradiction | ((~humble(fred))<=>(?[X]:((~wise(X)&~old(X)))))&
((?[X]:((patient(X)<~>~generous(X))))=>(?[X]:((~kind(X)&wise(X)))))&
((?[X]:((creative(X)&~rich(X))))=>((brave(paul)&funny(paul))))&
(![X]:((~creative(X)&old(X))<=>(~funny(X)|patient(X))))&
(![X]:((calm(X)<~>curious(X))<=>(~funny(X)<~>~patient(X))))&
(![X]:((~generous(X)... | ~old(fred) | [
"p3",
"p10",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8103541205203522790506676
% SZS output start Proof for 8103541205203522790506676
4. ! [X0] : ((old(X0) & ~creative(X0)) <=> (patient(X0) | ~funny(X0))) [input p3]
11. ? [X0] : (funny(X0) <~> ~generous(X0)) <=> (~patient(alice) & curious(alice)) [input p10]
13. ! [X0] : ((~generous(X0) & o... | 0 |
If someone is either not generous or not brave then susan is both kind and calm. If fred is not rich then someone is either kind or not tall and vice versa. Everyone who is not happy or not kind is both not tall and calm. Everyone who is either not patient or tall is old and vice versa. Everyone who is both happy and n... | Fred is creative. | neutral | ((?[X]:((~generous(X)<~>~brave(X))))=>((kind(susan)&calm(susan))))&
((~rich(fred))<=>(?[X]:((kind(X)<~>~tall(X)))))&
(![X]:((~happy(X)|~kind(X))=>(~tall(X)&calm(X))))&
(![X]:((~patient(X)<~>tall(X))<=>old(X)))&
(![X]:((happy(X)&~patient(X))<=>(curious(X)<~>~old(X))))&
((curious(alice))=>(?[X]:((~strong(X)&~creative(X))... | creative(fred) | [] | null | 0 |
Everyone who is funny is either not wise or calm and vice versa.
If someone is funny or not tall then susan is not wise.
Everyone who is not patient or calm is either wise or humble and vice versa.
If lucy is not wise then susan is brave or creative.
Everyone who is both not wise and not brave is quiet or not rich and ... | Alice is brave. | entailment | (![X]:(funny(X)<=>(~wise(X)<~>calm(X))))&
((?[X]:((funny(X)|~tall(X))))=>(~wise(susan)))&
(![X]:((~patient(X)|calm(X))<=>(wise(X)<~>humble(X))))&
((~wise(lucy))=>((brave(susan)|creative(susan))))&
(![X]:((~wise(X)&~brave(X))<=>(quiet(X)|~rich(X))))&
((?[X]:(tall(X)))<=>(?[X]:((~wise(X)&generous(X)))))&
((?[X]:((~wise(X... | brave(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3584645292249515765237042
% SZS output start Proof for 3584645292249515765237042
9. ! [X0] : (patient(X0) <=> (brave(X0) <~> ~patient(X0))) [input p8]
25. ~brave(alice) [input hypothesis]
60. ! [X0] : ((patient(X0) | ((brave(X0) | patient(X0)) & (~patient(X0) | ~brave(X0)))) & (((patient(... | 0 |
Everyone who is not brave is tall and vice versa.
Everyone who is creative or tall is funny or not tall.
If someone is funny or happy then someone is not funny or not generous and vice versa.
If susan is not kind or generous then someone is either curious or generous and vice versa.
Everyone who is both calm and not cu... | Paul is patient. | contradiction | (![X]:(~brave(X)<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((?[X]:((funny(X)|happy(X))))<=>(?[X]:((~funny(X)|~generous(X)))))&
(((~kind(susan)|generous(susan)))<=>(?[X]:((curious(X)<~>generous(X)))))&
(![X]:((calm(X)&~curious(X))<=>funny(X)))&
(![X]:(~old(X)<=>(~humble(X)&~tall(X))))&
((?[X]:((~... | patient(paul) | [
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2585622392105665206593861
% SZS output start Proof for 2585622392105665206593861
5. ! [X0] : ((~curious(X0) & calm(X0)) <=> funny(X0)) [input p4]
14. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> (~wise(X0) & wise(X0))) [input p13]
15. ! [X0] : ((curious(X0) | funny(X0)) <=> ~patient(X0)) [input... | 0 |
If someone is both curious and old then someone is both quiet and not happy and vice versa.
If mary is either not brave or not patient then someone is both creative and not rich and vice versa.
Everyone who is not humble or strong is not creative and vice versa.
Everyone who is both tall and wise is both not happy and ... | Fred is kind. | entailment | ((?[X]:((curious(X)&old(X))))<=>(?[X]:((quiet(X)&~happy(X)))))&
(((~brave(mary)<~>~patient(mary)))<=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:((~humble(X)|strong(X))<=>~creative(X)))&
(![X]:((tall(X)&wise(X))=>(~happy(X)&~creative(X))))&
(![X]:(generous(X)<=>(creative(X)|brave(X))))&
(![X]:(calm(X)<=>(calm(X)<~>~kind(X)... | kind(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1905460981852646742585913
% SZS output start Proof for 1905460981852646742585913
6. ! [X0] : (calm(X0) <=> (calm(X0) <~> ~kind(X0))) [input p5]
25. ~kind(fred) [input hypothesis]
49. ! [X0] : ((calm(X0) | ((calm(X0) | kind(X0)) & (~kind(X0) | ~calm(X0)))) & (((kind(X0) | ~calm(X0)) & (~ki... | 0 |
If someone is both patient and not quiet then someone is either tall or creative.
Everyone who is not happy or not creative is rich and vice versa.
Everyone who is not rich is calm or not generous.
If someone is not calm then someone is both not brave and happy.
Everyone who is not humble or not strong is both not kind... | Mary is calm. | contradiction | ((?[X]:((patient(X)&~quiet(X))))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:((~happy(X)|~creative(X))<=>rich(X)))&
(![X]:(~rich(X)=>(calm(X)|~generous(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~brave(X)&happy(X)))))&
(![X]:((~humble(X)|~strong(X))=>(~kind(X)&patient(X))))&
(![X]:((brave(X)|kind(X))<=>(~kind(X)|strong(X))))&
(!... | calm(mary) | [
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8381694381596018850907136
% SZS output start Proof for 8381694381596018850907136
8. ? [X0] : curious(X0) <=> ~calm(mary) [input p7]
23. ~creative(paul) & curious(paul) [input p22]
25. calm(mary) [input hypothesis]
56. (? [X0] : curious(X0) | calm(mary)) & (~calm(mary) | ! [X0] : ~curious(... | 0 |
Everyone who is kind or not humble is both tall and not funny. If someone is happy then alice is both wise and not wise. Everyone who is both not brave and rich is both not rich and kind and vice versa. Everyone who is either not quiet or tall is either not funny or not patient. If john is both not old and old then som... | Susan is not brave. | entailment | (![X]:((kind(X)|~humble(X))=>(tall(X)&~funny(X))))&
((?[X]:(happy(X)))=>((wise(alice)&~wise(alice))))&
(![X]:((~brave(X)&rich(X))<=>(~rich(X)&kind(X))))&
(![X]:((~quiet(X)<~>tall(X))=>(~funny(X)<~>~patient(X))))&
(((~old(john)&old(john)))=>(?[X]:((old(X)&funny(X)))))&
(![X]:((~wise(X)|tall(X))=>~wise(X)))&
(((~strong(a... | ~brave(susan) | [
"p1",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6066573133264460431359255
% SZS output start Proof for 6066573133264460431359255
2. ? [X0] : happy(X0) => (~wise(alice) & wise(alice)) [input p1]
15. ! [X0] : ((old(X0) | ~happy(X0)) => (tall(X0) & ~quiet(X0))) [input p14]
18. ~brave(susan) | ~tall(susan) [input p17]
24. brave(susan) [inp... | 0 |
Everyone who is both curious and not rich is both not tall and tall and vice versa.
Everyone who is both not quiet and not creative is either quiet or not kind and vice versa.
Everyone who is not strong or not calm is either not brave or not rich.
If paul is either not generous or curious then someone is both kind and ... | Susan is funny. | contradiction | (![X]:((curious(X)&~rich(X))<=>(~tall(X)&tall(X))))&
(![X]:((~quiet(X)&~creative(X))<=>(quiet(X)<~>~kind(X))))&
(![X]:((~strong(X)|~calm(X))=>(~brave(X)<~>~rich(X))))&
(((~generous(paul)<~>curious(paul)))=>(?[X]:((kind(X)&humble(X)))))&
(![X]:((creative(X)|~funny(X))=>(~generous(X)&old(X))))&
((~rich(lucy))=>(?[X]:((~g... | funny(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 797087455158292980059173
% SZS output start Proof for 797087455158292980059173
21. ~strong(susan) & ~funny(susan) [input p20]
25. funny(susan) [input hypothesis]
141. ~funny(susan) [cnf transformation 21]
148. funny(susan) [cnf transformation 25]
294. $false [subsumption resolution 148,14... | 0 |
If alice is not generous then susan is humble or not funny.
If susan is not funny then john is both not rich and humble.
Everyone who is both not happy and rich is not creative or wise and vice versa.
If someone is brave then john is both not funny and strong.
Everyone who is either not generous or not wise is both str... | Lucy is brave. | contradiction | ((~generous(alice))=>((humble(susan)|~funny(susan))))&
((~funny(susan))=>((~rich(john)&humble(john))))&
(![X]:((~happy(X)&rich(X))<=>(~creative(X)|wise(X))))&
((?[X]:(brave(X)))=>((~funny(john)&strong(john))))&
(![X]:((~generous(X)<~>~wise(X))=>(strong(X)&~rich(X))))&
(![X]:(brave(X)<=>(creative(X)<~>~rich(X))))&
(![X]... | brave(lucy) | [
"p2",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4224006497038152546960644
% SZS output start Proof for 4224006497038152546960644
3. ! [X0] : ((rich(X0) & ~happy(X0)) <=> (wise(X0) | ~creative(X0))) [input p2]
6. ! [X0] : (brave(X0) <=> (creative(X0) <~> ~rich(X0))) [input p5]
13. ! [X0] : (happy(X0) => (~brave(X0) & ~creative(X0))) [in... | 0 |
Everyone who is funny is not old or not creative and vice versa.
If someone is creative then someone is quiet or humble and vice versa.
Everyone who is humble is not strong or not calm.
Everyone who is not happy is not old.
If someone is not patient then john is either wise or not old and vice versa.
Everyone who is ei... | John is not calm. | neutral | (![X]:(funny(X)<=>(~old(X)|~creative(X))))&
((?[X]:(creative(X)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(humble(X)=>(~strong(X)|~calm(X))))&
(![X]:(~happy(X)=>~old(X)))&
((?[X]:(~patient(X)))<=>((wise(john)<~>~old(john))))&
(![X]:((humble(X)<~>calm(X))=>~old(X)))&
(![X]:((~happy(X)<~>brave(X))=>quiet(X)))&
(![X]:((~r... | ~calm(john) | [] | null | 0 |
Everyone who is strong or not curious is either happy or not curious and vice versa.
If alice is not generous then lucy is not wise or curious.
Everyone who is both old and not strong is either not funny or not happy and vice versa.
Everyone who is not curious is creative or tall and vice versa.
If someone is not wise ... | Alice is not wise. | contradiction | (![X]:((strong(X)|~curious(X))<=>(happy(X)<~>~curious(X))))&
((~generous(alice))=>((~wise(lucy)|curious(lucy))))&
(![X]:((old(X)&~strong(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:(~curious(X)<=>(creative(X)|tall(X))))&
((?[X]:((~wise(X)|~creative(X))))<=>((~humble(john)&curious(john))))&
((?[X]:((funny(X)<~>creative(X))))... | ~wise(alice) | [
"p0",
"p2",
"p4",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6511775695101045955896058
% SZS output start Proof for 6511775695101045955896058
1. ! [X0] : ((~curious(X0) | strong(X0)) <=> (happy(X0) <~> ~curious(X0))) [input p0]
3. ! [X0] : ((~strong(X0) & old(X0)) <=> (~funny(X0) <~> ~happy(X0))) [input p2]
5. ? [X0] : (~creative(X0) | ~wise(X0)) <... | 0 |
Everyone who is both wise and strong is funny or strong. Everyone who is creative or brave is happy and vice versa. If alice is not kind or kind then paul is old. Everyone who is not brave or not humble is tall and vice versa. Everyone who is not calm is not strong or not generous. Everyone who is not generous is both ... | John is not curious. | entailment | (![X]:((wise(X)&strong(X))=>(funny(X)|strong(X))))&
(![X]:((creative(X)|brave(X))<=>happy(X)))&
(((~kind(alice)|kind(alice)))=>(old(paul)))&
(![X]:((~brave(X)|~humble(X))<=>tall(X)))&
(![X]:(~calm(X)=>(~strong(X)|~generous(X))))&
(![X]:(~generous(X)<=>(~creative(X)&~humble(X))))&
((?[X]:((curious(X)|generous(X))))=>((g... | ~curious(john) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2505930720656473346839371
% SZS output start Proof for 2505930720656473346839371
2. ! [X0] : ((brave(X0) | creative(X0)) <=> happy(X0)) [input p1]
3. (kind(alice) | ~kind(alice)) => old(paul) [input p2]
5. ! [X0] : (~calm(X0) => (~generous(X0) | ~strong(X0))) [input p4]
6. ! [X0] : (~gene... | 0 |
Everyone who is rich or not wise is strong and vice versa. If susan is both funny and not funny then someone is both brave and not creative. Everyone who is both not curious and happy is calm or not funny. Everyone who is not tall or not funny is not tall and vice versa. Everyone who is not funny or tall is either not ... | Fred is humble. | entailment | (![X]:((rich(X)|~wise(X))<=>strong(X)))&
(((funny(susan)&~funny(susan)))=>(?[X]:((brave(X)&~creative(X)))))&
(![X]:((~curious(X)&happy(X))=>(calm(X)|~funny(X))))&
(![X]:((~tall(X)|~funny(X))<=>~tall(X)))&
(![X]:((~funny(X)|tall(X))=>(~happy(X)<~>curious(X))))&
(![X]:(~brave(X)<=>(~wise(X)|~tall(X))))&
(![X]:((curious(X... | humble(fred) | [
"p6",
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 701952708760067679872838
% SZS output start Proof for 701952708760067679872838
7. ! [X0] : ((strong(X0) | curious(X0)) => (~curious(X0) & ~quiet(X0))) [input p6]
10. ! [X0] : (patient(X0) <=> (~old(X0) | curious(X0))) [input p9]
13. ! [X0] : ((patient(X0) | ~happy(X0)) <=> (old(X0) | humb... | 0 |
Everyone who is calm or not tall is either calm or not patient and vice versa. If susan is either not creative or calm then mary is both brave and not quiet and vice versa. If mary is either not kind or generous then someone is happy. If someone is both tall and funny then john is either not tall or not wise and vice v... | Susan is creative. | contradiction | (![X]:((calm(X)|~tall(X))<=>(calm(X)<~>~patient(X))))&
(((~creative(susan)<~>calm(susan)))<=>((brave(mary)&~quiet(mary))))&
(((~kind(mary)<~>generous(mary)))=>(?[X]:(happy(X))))&
((?[X]:((tall(X)&funny(X))))<=>((~tall(john)<~>~wise(john))))&
((?[X]:((~strong(X)|creative(X))))<=>(~old(mary)))&
(((~brave(fred)&~kind(fred... | creative(susan) | [
"p4",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 188609875120206801988524
% SZS output start Proof for 188609875120206801988524
5. ? [X0] : (creative(X0) | ~strong(X0)) <=> ~old(mary) [input p4]
7. ! [X0] : ((tall(X0) & ~humble(X0)) <=> (humble(X0) & wise(X0))) [input p6]
12. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> old(X0)) [input p11]
1... | 0 |
Everyone who is both strong and generous is either patient or generous and vice versa.
Everyone who is not brave or old is either not rich or old.
If someone is both strong and brave then someone is not rich.
If someone is both not creative and not calm then someone is either happy or not tall and vice versa.
If someon... | Paul is creative. | contradiction | (![X]:((strong(X)&generous(X))<=>(patient(X)<~>generous(X))))&
(![X]:((~brave(X)|old(X))=>(~rich(X)<~>old(X))))&
((?[X]:((strong(X)&brave(X))))=>(?[X]:(~rich(X))))&
((?[X]:((~creative(X)&~calm(X))))<=>(?[X]:((happy(X)<~>~tall(X)))))&
((?[X]:(~generous(X)))<=>((~old(susan)&brave(susan))))&
(![X]:((old(X)|~rich(X))<=>(br... | creative(paul) | [
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5350769011979933759466193
% SZS output start Proof for 5350769011979933759466193
18. ~patient(paul) & ~quiet(paul) [input p17]
21. quiet(paul) <~> ~creative(paul) [input p20]
24. creative(paul) [input hypothesis]
81. (creative(paul) | ~quiet(paul)) & (~creative(paul) | quiet(paul)) [nnf t... | 0 |
Everyone who is not rich is both not curious and not tall and vice versa. Everyone who is both quiet and not kind is not strong or brave and vice versa. Everyone who is both not curious and tall is not generous or curious and vice versa. Everyone who is both not brave and calm is both calm and not calm. Everyone who is... | Paul is tall. | entailment | (![X]:(~rich(X)<=>(~curious(X)&~tall(X))))&
(![X]:((quiet(X)&~kind(X))<=>(~strong(X)|brave(X))))&
(![X]:((~curious(X)&tall(X))<=>(~generous(X)|curious(X))))&
(![X]:((~brave(X)&calm(X))=>(calm(X)&~calm(X))))&
(![X]:((calm(X)&~strong(X))=>(happy(X)&creative(X))))&
((?[X]:((~creative(X)&funny(X))))<=>((~strong(fred)<~>kin... | tall(paul) | [
"p1",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8766119988382885782321927
% SZS output start Proof for 8766119988382885782321927
2. ! [X0] : ((~kind(X0) & quiet(X0)) <=> (brave(X0) | ~strong(X0))) [input p1]
7. ! [X0] : (quiet(X0) => brave(X0)) [input p6]
9. ! [X0] : ((brave(X0) | creative(X0)) <=> ~brave(X0)) [input p8]
10. ! [X0] : (... | 0 |
Everyone who is creative is both not kind and kind.
If john is brave or funny then susan is strong or not strong and vice versa.
If alice is either old or patient then someone is strong.
Everyone who is either not quiet or calm is both not quiet and not funny.
Everyone who is either not wise or humble is funny and vice... | Mary is rich. | entailment | (![X]:(creative(X)=>(~kind(X)&kind(X))))&
(((brave(john)|funny(john)))<=>((strong(susan)|~strong(susan))))&
(((old(alice)<~>patient(alice)))=>(?[X]:(strong(X))))&
(![X]:((~quiet(X)<~>calm(X))=>(~quiet(X)&~funny(X))))&
(![X]:((~wise(X)<~>humble(X))<=>funny(X)))&
(![X]:((~curious(X)<~>~strong(X))<=>(~wise(X)<~>~brave(X))... | rich(mary) | [
"p3",
"p4",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8058999557528047554730951
% SZS output start Proof for 8058999557528047554730951
4. ! [X0] : ((~quiet(X0) <~> calm(X0)) => (~funny(X0) & ~quiet(X0))) [input p3]
5. ! [X0] : ((~wise(X0) <~> humble(X0)) <=> funny(X0)) [input p4]
10. (quiet(mary) <~> humble(mary)) <=> ? [X0] : (patient(X0) &... | 0 |
If someone is both not kind and quiet then someone is not curious and vice versa. If paul is both not humble and calm then john is old. If someone is old then alice is not strong. Everyone who is both calm and not happy is either not funny or calm. Everyone who is either not tall or patient is not humble and vice versa... | Susan is not creative. | neutral | ((?[X]:((~kind(X)&quiet(X))))<=>(?[X]:(~curious(X))))&
(((~humble(paul)&calm(paul)))=>(old(john)))&
((?[X]:(old(X)))=>(~strong(alice)))&
(![X]:((calm(X)&~happy(X))=>(~funny(X)<~>calm(X))))&
(![X]:((~tall(X)<~>patient(X))<=>~humble(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((~tall(X)<~>old(X)))))&
(![X]:((~strong(X)<~>brave(X))=... | ~creative(susan) | [] | null | 0 |
If someone is not rich or calm then someone is both not brave and humble. Everyone who is tall is brave. Everyone who is happy is both not brave and not patient and vice versa. If someone is humble or quiet then someone is not patient and vice versa. Everyone who is either not strong or quiet is strong or not generous ... | Susan is not brave. | neutral | ((?[X]:((~rich(X)|calm(X))))=>(?[X]:((~brave(X)&humble(X)))))&
(![X]:(tall(X)=>brave(X)))&
(![X]:(happy(X)<=>(~brave(X)&~patient(X))))&
((?[X]:((humble(X)|quiet(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~strong(X)<~>quiet(X))<=>(strong(X)|~generous(X))))&
(((brave(fred)&creative(fred)))<=>(~kind(susan)))&
(((~generous(ali... | ~brave(susan) | [] | null | 0 |
If someone is patient then someone is not brave or old and vice versa. Everyone who is quiet is not creative and vice versa. Everyone who is both not funny and not patient is both not old and not funny and vice versa. If someone is not curious then paul is tall. Everyone who is calm or quiet is both not brave and quiet... | Mary is calm. | contradiction | ((?[X]:(patient(X)))<=>(?[X]:((~brave(X)|old(X)))))&
(![X]:(quiet(X)<=>~creative(X)))&
(![X]:((~funny(X)&~patient(X))<=>(~old(X)&~funny(X))))&
((?[X]:(~curious(X)))=>(tall(paul)))&
(![X]:((calm(X)|quiet(X))<=>(~brave(X)&quiet(X))))&
((?[X]:((kind(X)|generous(X))))<=>((~funny(mary)&~humble(mary))))&
(![X]:((generous(X)|... | calm(mary) | [
"p4",
"p6",
"p7",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1835393408076269426988214
% SZS output start Proof for 1835393408076269426988214
5. ! [X0] : ((quiet(X0) | calm(X0)) <=> (quiet(X0) & ~brave(X0))) [input p4]
7. ! [X0] : ((patient(X0) | generous(X0)) <=> (~calm(X0) | ~wise(X0))) [input p6]
8. ! [X0] : ((~patient(X0) <~> wise(X0)) <=> (bra... | 0 |
Everyone who is both wise and not generous is both not wise and calm and vice versa.
Everyone who is both happy and brave is either not brave or rich and vice versa.
Everyone who is calm is not happy or creative and vice versa.
Everyone who is both not calm and brave is not rich or quiet and vice versa.
Everyone who is... | Lucy is not humble. | contradiction | (![X]:((wise(X)&~generous(X))<=>(~wise(X)&calm(X))))&
(![X]:((happy(X)&brave(X))<=>(~brave(X)<~>rich(X))))&
(![X]:(calm(X)<=>(~happy(X)|creative(X))))&
(![X]:((~calm(X)&brave(X))<=>(~rich(X)|quiet(X))))&
(![X]:((strong(X)&happy(X))=>(calm(X)|curious(X))))&
((?[X]:(~happy(X)))<=>((~funny(lucy)|calm(lucy))))&
(![X]:((~pa... | ~humble(lucy) | [
"p0",
"p3",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5358019845054488150563858
% SZS output start Proof for 5358019845054488150563858
1. ! [X0] : ((~generous(X0) & wise(X0)) <=> (calm(X0) & ~wise(X0))) [input p0]
4. ! [X0] : ((brave(X0) & ~calm(X0)) <=> (quiet(X0) | ~rich(X0))) [input p3]
8. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (kind(X0) ... | 0 |
Everyone who is not old or not funny is strong or generous and vice versa. Everyone who is rich or old is quiet or happy and vice versa. If someone is happy then someone is not tall and vice versa. If someone is creative or kind then lucy is both not calm and happy and vice versa. Everyone who is either not old or tall... | Fred is generous. | entailment | (![X]:((~old(X)|~funny(X))<=>(strong(X)|generous(X))))&
(![X]:((rich(X)|old(X))<=>(quiet(X)|happy(X))))&
((?[X]:(happy(X)))<=>(?[X]:(~tall(X))))&
((?[X]:((creative(X)|kind(X))))<=>((~calm(lucy)&happy(lucy))))&
(![X]:((~old(X)<~>tall(X))=>(~calm(X)|~patient(X))))&
(![X]:((~tall(X)&happy(X))<=>(~curious(X)<~>patient(X)))... | generous(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8573174793050616066743847
% SZS output start Proof for 8573174793050616066743847
9. ! [X0] : (~generous(X0) => (generous(X0) & brave(X0))) [input p8]
25. ~generous(fred) [input hypothesis]
31. ! [X0] : ((generous(X0) & brave(X0)) | generous(X0)) [ennf transformation 9]
115. generous(X0) |... | 0 |
Everyone who is quiet or happy is both tall and not generous.
If someone is either not funny or generous then someone is old.
Everyone who is either brave or not humble is both not funny and not brave.
If someone is not strong or not rich then paul is patient or calm and vice versa.
If paul is both not strong and humbl... | Alice is not brave. | entailment | (![X]:((quiet(X)|happy(X))=>(tall(X)&~generous(X))))&
((?[X]:((~funny(X)<~>generous(X))))=>(?[X]:(old(X))))&
(![X]:((brave(X)<~>~humble(X))=>(~funny(X)&~brave(X))))&
((?[X]:((~strong(X)|~rich(X))))<=>((patient(paul)|calm(paul))))&
(((~strong(paul)&humble(paul)))=>((~patient(fred)|funny(fred))))&
(![X]:((wise(X)&rich(X)... | ~brave(alice) | [
"p7",
"p10",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3597153845139059269909386
% SZS output start Proof for 3597153845139059269909386
8. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (happy(X0) <~> calm(X0))) [input p7]
11. ? [X0] : (~creative(X0) | quiet(X0)) <=> (curious(alice) & quiet(alice)) [input p10]
12. ! [X0] : (happy(X0) <=> (~calm(... | 0 |
Everyone who is both calm and curious is both not strong and brave. If someone is either quiet or kind then alice is either not humble or not quiet and vice versa. Everyone who is both not generous and happy is both not happy and brave. Everyone who is strong is old or not curious. If john is not quiet or generous then... | Alice is generous. | entailment | (![X]:((calm(X)&curious(X))=>(~strong(X)&brave(X))))&
((?[X]:((quiet(X)<~>kind(X))))<=>((~humble(alice)<~>~quiet(alice))))&
(![X]:((~generous(X)&happy(X))=>(~happy(X)&brave(X))))&
(![X]:(strong(X)=>(old(X)|~curious(X))))&
(((~quiet(john)|generous(john)))<=>(?[X]:(~old(X))))&
(![X]:((rich(X)&~generous(X))=>(generous(X)<... | generous(alice) | [
"p2",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7624924693961438623262991
% SZS output start Proof for 7624924693961438623262991
3. ! [X0] : ((happy(X0) & ~generous(X0)) => (brave(X0) & ~happy(X0))) [input p2]
7. ! [X0] : ((~creative(X0) & tall(X0)) <=> (~strong(X0) | rich(X0))) [input p6]
15. ! [X0] : ((quiet(X0) <~> ~creative(X0)) <=... | 0 |
Everyone who is either not curious or not calm is either not funny or tall and vice versa.
Everyone who is happy is either not creative or generous and vice versa.
Everyone who is both not creative and not generous is curious.
If someone is both not funny and quiet then someone is both funny and creative and vice versa... | Mary is funny. | contradiction | (![X]:((~curious(X)<~>~calm(X))<=>(~funny(X)<~>tall(X))))&
(![X]:(happy(X)<=>(~creative(X)<~>generous(X))))&
(![X]:((~creative(X)&~generous(X))=>curious(X)))&
((?[X]:((~funny(X)&quiet(X))))<=>(?[X]:((funny(X)&creative(X)))))&
(![X]:(generous(X)=>(~tall(X)<~>quiet(X))))&
(![X]:((kind(X)&~funny(X))<=>(~humble(X)|rich(X))... | funny(mary) | [
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2026511611506780224514516
% SZS output start Proof for 2026511611506780224514516
6. ! [X0] : ((~funny(X0) & kind(X0)) <=> (rich(X0) | ~humble(X0))) [input p5]
7. ? [X0] : (~kind(X0) | kind(X0)) <=> (~humble(mary) <~> quiet(mary)) [input p6]
11. ! [X0] : ((~rich(X0) | ~old(X0)) <=> ~quiet(... | 0 |
Everyone who is either old or humble is either not old or old and vice versa.
Everyone who is both generous and not wise is both not wise and kind.
If someone is not old then someone is not rich and vice versa.
If susan is both tall and strong then someone is old.
Everyone who is either not strong or not humble is gene... | John is not funny. | entailment | (![X]:((old(X)<~>humble(X))<=>(~old(X)<~>old(X))))&
(![X]:((generous(X)&~wise(X))=>(~wise(X)&kind(X))))&
((?[X]:(~old(X)))<=>(?[X]:(~rich(X))))&
(((tall(susan)&strong(susan)))=>(?[X]:(old(X))))&
(![X]:((~strong(X)<~>~humble(X))<=>(generous(X)|curious(X))))&
((?[X]:((~old(X)|old(X))))=>(?[X]:((quiet(X)|~creative(X)))))&... | ~funny(john) | [
"p0",
"p8",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2298425684282647518979433
% SZS output start Proof for 2298425684282647518979433
1. ! [X0] : ((old(X0) <~> humble(X0)) <=> (~old(X0) <~> old(X0))) [input p0]
9. ! [X0] : ((funny(X0) <~> ~creative(X0)) <=> (old(X0) & happy(X0))) [input p8]
10. (~happy(john) & patient(john)) <=> (~humble(lu... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.