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 strong is humble or not strong and vice versa. If someone is either happy or not rich then paul is not tall or not curious and vice versa. Everyone who is not humble or not brave is either not rich or not strong. Everyone who is not tall is either creative or wise. Everyone who is either generous or wis... | Paul is strong. | entailment | (![X]:(strong(X)<=>(humble(X)|~strong(X))))&
((?[X]:((happy(X)<~>~rich(X))))<=>((~tall(paul)|~curious(paul))))&
(![X]:((~humble(X)|~brave(X))=>(~rich(X)<~>~strong(X))))&
(![X]:(~tall(X)=>(creative(X)<~>wise(X))))&
(![X]:((generous(X)<~>wise(X))<=>(~old(X)&wise(X))))&
(![X]:(~wise(X)<=>(brave(X)|~patient(X))))&
(((funny... | strong(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8653583134230246399687011
% SZS output start Proof for 8653583134230246399687011
1. ! [X0] : (strong(X0) <=> (~strong(X0) | humble(X0))) [input p0]
25. ~strong(paul) [input hypothesis]
39. ! [X0] : ((strong(X0) | (strong(X0) & ~humble(X0))) & ((~strong(X0) | humble(X0)) | ~strong(X0))) [n... | 0 |
If someone is kind or brave then someone is not strong or not funny.
If mary is both brave and patient then alice is both not generous and not quiet.
Everyone who is either generous or not curious is both not humble and creative and vice versa.
If susan is both not humble and calm then susan is funny or calm and vice v... | Fred is kind. | contradiction | ((?[X]:((kind(X)|brave(X))))=>(?[X]:((~strong(X)|~funny(X)))))&
(((brave(mary)&patient(mary)))=>((~generous(alice)&~quiet(alice))))&
(![X]:((generous(X)<~>~curious(X))<=>(~humble(X)&creative(X))))&
(((~humble(susan)&calm(susan)))<=>((funny(susan)|calm(susan))))&
(![X]:(~patient(X)<=>~happy(X)))&
((~quiet(fred))<=>(?[X]... | kind(fred) | [
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6825195349233613254404525
% SZS output start Proof for 6825195349233613254404525
11. ! [X0] : (kind(X0) <=> calm(X0)) [input p10]
19. ~calm(fred) [input p18]
25. kind(fred) [input hypothesis]
62. ! [X0] : ((kind(X0) | ~calm(X0)) & (calm(X0) | ~kind(X0))) [nnf transformation 11]
122. ~kind... | 0 |
If alice is old then alice is not tall or not generous and vice versa.
Everyone who is tall or not old is not creative and vice versa.
If fred is both not quiet and tall then john is wise or not old and vice versa.
Everyone who is both tall and not funny is not old or happy.
Everyone who is either not kind or kind is b... | John is patient. | neutral | ((old(alice))<=>((~tall(alice)|~generous(alice))))&
(![X]:((tall(X)|~old(X))<=>~creative(X)))&
(((~quiet(fred)&tall(fred)))<=>((wise(john)|~old(john))))&
(![X]:((tall(X)&~funny(X))=>(~old(X)|happy(X))))&
(![X]:((~kind(X)<~>kind(X))=>(strong(X)&kind(X))))&
((?[X]:((creative(X)&~wise(X))))=>(?[X]:(humble(X))))&
(![X]:((~... | patient(john) | [] | null | 0 |
Everyone who is rich or brave is creative. Everyone who is not calm or not creative is either strong or not tall. If someone is either kind or humble then paul is funny or not curious. Everyone who is humble is not old or strong and vice versa. Everyone who is both not calm and not creative is not quiet and vice versa.... | Mary is not creative. | neutral | (![X]:((rich(X)|brave(X))=>creative(X)))&
(![X]:((~calm(X)|~creative(X))=>(strong(X)<~>~tall(X))))&
((?[X]:((kind(X)<~>humble(X))))=>((funny(paul)|~curious(paul))))&
(![X]:(humble(X)<=>(~old(X)|strong(X))))&
(![X]:((~calm(X)&~creative(X))<=>~quiet(X)))&
(![X]:((creative(X)&~generous(X))<=>(~kind(X)<~>~wise(X))))&
((?[X... | ~creative(mary) | [] | null | 0 |
If lucy is not old or not brave then mary is either wise or kind and vice versa. If someone is both creative and not rich then alice is either not rich or not old. Everyone who is either not quiet or rich is not curious and vice versa. Everyone who is not old is quiet. If someone is both not wise and calm then someone ... | Alice is patient. | contradiction | (((~old(lucy)|~brave(lucy)))<=>((wise(mary)<~>kind(mary))))&
((?[X]:((creative(X)&~rich(X))))=>((~rich(alice)<~>~old(alice))))&
(![X]:((~quiet(X)<~>rich(X))<=>~curious(X)))&
(![X]:(~old(X)=>quiet(X)))&
((?[X]:((~wise(X)&calm(X))))<=>(?[X]:((curious(X)<~>humble(X)))))&
((?[X]:(~old(X)))=>(?[X]:((strong(X)|~calm(X)))))&
... | patient(alice) | [
"p9",
"p10",
"p11",
"p12",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8803205845117321782400028
% SZS output start Proof for 8803205845117321782400028
10. ? [X0] : (tall(X0) <~> ~generous(X0)) <=> (~funny(susan) & ~rich(susan)) [input p9]
11. ! [X0] : ((kind(X0) | tall(X0)) <=> (~calm(X0) & rich(X0))) [input p10]
12. ! [X0] : ((patient(X0) | humble(X0)) <=>... | 0 |
If someone is either not strong or funny then paul is humble.
If john is not patient or not humble then susan is not tall or not generous and vice versa.
Everyone who is not quiet or generous is both curious and not humble.
If someone is happy or not strong then john is not rich or rich.
If someone is quiet or not brav... | Alice is old. | contradiction | ((?[X]:((~strong(X)<~>funny(X))))=>(humble(paul)))&
(((~patient(john)|~humble(john)))<=>((~tall(susan)|~generous(susan))))&
(![X]:((~quiet(X)|generous(X))=>(curious(X)&~humble(X))))&
((?[X]:((happy(X)|~strong(X))))=>((~rich(john)|rich(john))))&
((?[X]:((quiet(X)|~brave(X))))=>(?[X]:((rich(X)|~calm(X)))))&
(((~funny(ali... | old(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5629416074966712354709997
% SZS output start Proof for 5629416074966712354709997
12. ! [X0] : ((old(X0) | calm(X0)) => (~rich(X0) & ~old(X0))) [input p11]
23. old(alice) [input hypothesis]
36. ! [X0] : ((~rich(X0) & ~old(X0)) | (~old(X0) & ~calm(X0))) [ennf transformation 12]
98. ~old(X0)... | 0 |
Everyone who is not kind or happy is both patient and brave and vice versa.
Everyone who is wise or strong is not rich and vice versa.
If fred is not brave or not patient then lucy is both not tall and quiet.
If fred is not strong then lucy is both not humble and brave.
Everyone who is either not creative or creative i... | John is not curious. | neutral | (![X]:((~kind(X)|happy(X))<=>(patient(X)&brave(X))))&
(![X]:((wise(X)|strong(X))<=>~rich(X)))&
(((~brave(fred)|~patient(fred)))=>((~tall(lucy)&quiet(lucy))))&
((~strong(fred))=>((~humble(lucy)&brave(lucy))))&
(![X]:((~creative(X)<~>creative(X))<=>patient(X)))&
(![X]:(~happy(X)<=>(~generous(X)&~calm(X))))&
(![X]:((kind(... | ~curious(john) | [] | null | 0 |
If someone is not generous then someone is either happy or not curious. If lucy is both not curious and not generous then fred is brave and vice versa. Everyone who is both old and not generous is not tall or not curious and vice versa. Everyone who is either patient or tall is not creative and vice versa. Everyone who... | Alice is not humble. | neutral | ((?[X]:(~generous(X)))=>(?[X]:((happy(X)<~>~curious(X)))))&
(((~curious(lucy)&~generous(lucy)))<=>(brave(fred)))&
(![X]:((old(X)&~generous(X))<=>(~tall(X)|~curious(X))))&
(![X]:((patient(X)<~>tall(X))<=>~creative(X)))&
(![X]:((~strong(X)&~calm(X))=>(~patient(X)<~>~curious(X))))&
((?[X]:((~humble(X)<~>creative(X))))=>((... | ~humble(alice) | [] | null | 0 |
If someone is quiet then paul is generous or tall.
If fred is strong or old then someone is not funny and vice versa.
Everyone who is not kind or not strong is both not creative and not humble.
If someone is either not calm or wise then mary is both curious and not curious.
Everyone who is both not curious and not funn... | Fred is old. | neutral | ((?[X]:(quiet(X)))=>((generous(paul)|tall(paul))))&
(((strong(fred)|old(fred)))<=>(?[X]:(~funny(X))))&
(![X]:((~kind(X)|~strong(X))=>(~creative(X)&~humble(X))))&
((?[X]:((~calm(X)<~>wise(X))))=>((curious(mary)&~curious(mary))))&
(![X]:((~curious(X)&~funny(X))=>(~funny(X)&~wise(X))))&
(![X]:((generous(X)|curious(X))<=>(... | old(fred) | [] | null | 0 |
Everyone who is either humble or kind is both not strong and strong and vice versa. Everyone who is not generous or not quiet is either strong or kind and vice versa. Everyone who is not wise or not creative is both not funny and strong and vice versa. If mary is kind or not patient then alice is either tall or curious... | Alice is generous. | entailment | (![X]:((humble(X)<~>kind(X))<=>(~strong(X)&strong(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(strong(X)<~>kind(X))))&
(![X]:((~wise(X)|~creative(X))<=>(~funny(X)&strong(X))))&
(((kind(mary)|~patient(mary)))<=>((tall(alice)<~>curious(alice))))&
(![X]:(~creative(X)<=>(brave(X)&kind(X))))&
(![X]:((~funny(X)|~patient(X))<=>~... | generous(alice) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4696725175445021573677411
% SZS output start Proof for 4696725175445021573677411
1. ! [X0] : ((humble(X0) <~> kind(X0)) <=> (strong(X0) & ~strong(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (strong(X0) <~> kind(X0))) [input p1]
3. ! [X0] : ((~creative(X0) | ~wise(X0)) <... | 0 |
Everyone who is rich or happy is tall or creative.
If someone is both not patient and kind then alice is both happy and not funny.
Everyone who is not curious is both old and calm and vice versa.
Everyone who is brave is not quiet and vice versa.
Everyone who is wise is either patient or rich.
If someone is funny then ... | Alice is funny. | neutral | (![X]:((rich(X)|happy(X))=>(tall(X)|creative(X))))&
((?[X]:((~patient(X)&kind(X))))=>((happy(alice)&~funny(alice))))&
(![X]:(~curious(X)<=>(old(X)&calm(X))))&
(![X]:(brave(X)<=>~quiet(X)))&
(![X]:(wise(X)=>(patient(X)<~>rich(X))))&
((?[X]:(funny(X)))=>((~tall(lucy)|curious(lucy))))&
(![X]:((old(X)<~>happy(X))<=>(~funny... | funny(alice) | [] | null | 0 |
If someone is either tall or not brave then someone is both creative and not humble and vice versa.
Everyone who is both quiet and wise is both not calm and not quiet.
Everyone who is either rich or old is not tall or old.
Everyone who is not happy is strong and vice versa.
Everyone who is not brave or not calm is both... | Susan is rich. | neutral | ((?[X]:((tall(X)<~>~brave(X))))<=>(?[X]:((creative(X)&~humble(X)))))&
(![X]:((quiet(X)&wise(X))=>(~calm(X)&~quiet(X))))&
(![X]:((rich(X)<~>old(X))=>(~tall(X)|old(X))))&
(![X]:(~happy(X)<=>strong(X)))&
(![X]:((~brave(X)|~calm(X))<=>(~kind(X)&~patient(X))))&
(![X]:((strong(X)|happy(X))<=>~strong(X)))&
(((old(paul)|kind(p... | rich(susan) | [] | null | 0 |
Everyone who is both happy and creative is both brave and not funny. If someone is either not funny or not kind then john is not curious and vice versa. Everyone who is either not humble or rich is either not quiet or not generous and vice versa. If john is either patient or generous then someone is both not humble and... | Fred is funny. | entailment | (![X]:((happy(X)&creative(X))=>(brave(X)&~funny(X))))&
((?[X]:((~funny(X)<~>~kind(X))))<=>(~curious(john)))&
(![X]:((~humble(X)<~>rich(X))<=>(~quiet(X)<~>~generous(X))))&
(((patient(john)<~>generous(john)))=>(?[X]:((~humble(X)&brave(X)))))&
(![X]:((generous(X)&~rich(X))<=>(~happy(X)|old(X))))&
(![X]:((calm(X)&creative(... | funny(fred) | [
"p13",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1393626061803055938208810
% SZS output start Proof for 1393626061803055938208810
14. ! [X0] : (wise(X0) => funny(X0)) [input p13]
17. ~curious(fred) [input p16]
21. ~curious(fred) <~> ~wise(fred) [input p20]
25. ~funny(fred) [input hypothesis]
37. ! [X0] : (funny(X0) | ~wise(X0)) [ennf tr... | 0 |
Everyone who is creative is both rich and creative. Everyone who is rich is both not strong and humble. If someone is brave or kind then someone is both old and not brave. If john is brave then someone is both generous and not generous and vice versa. Everyone who is both old and not happy is kind or tall. Everyone who... | Lucy is creative. | contradiction | (![X]:(creative(X)=>(rich(X)&creative(X))))&
(![X]:(rich(X)=>(~strong(X)&humble(X))))&
((?[X]:((brave(X)|kind(X))))=>(?[X]:((old(X)&~brave(X)))))&
((brave(john))<=>(?[X]:((generous(X)&~generous(X)))))&
(![X]:((old(X)&~happy(X))=>(kind(X)|tall(X))))&
(![X]:(patient(X)=>(~wise(X)&generous(X))))&
((~tall(susan))<=>(?[X]:(... | creative(lucy) | [
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 698817925371301234998077
% SZS output start Proof for 698817925371301234998077
8. ! [X0] : ((~funny(X0) <~> creative(X0)) <=> ~wise(X0)) [input p7]
14. ! [X0] : ((strong(X0) | ~funny(X0)) => (~wise(X0) | ~creative(X0))) [input p13]
15. (~kind(susan) & kind(susan)) <=> ? [X0] : (~wise(X0) ... | 0 |
Everyone who is kind is both humble and quiet.
If fred is happy or not creative then fred is both not rich and not happy and vice versa.
If someone is quiet or calm then someone is both wise and not patient and vice versa.
If susan is both happy and old then paul is both strong and kind and vice versa.
If fred is not c... | Mary is not quiet. | contradiction | (![X]:(kind(X)=>(humble(X)&quiet(X))))&
(((happy(fred)|~creative(fred)))<=>((~rich(fred)&~happy(fred))))&
((?[X]:((quiet(X)|calm(X))))<=>(?[X]:((wise(X)&~patient(X)))))&
(((happy(susan)&old(susan)))<=>((strong(paul)&kind(paul))))&
(((~curious(fred)|humble(fred)))=>((rich(alice)|brave(alice))))&
(((~kind(mary)|~funny(ma... | ~quiet(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1281115393069946681769433
% SZS output start Proof for 1281115393069946681769433
21. quiet(mary) [input p20]
25. ~quiet(mary) [input hypothesis]
149. quiet(mary) [cnf transformation 21]
156. ~quiet(mary) [cnf transformation 25]
419. $false [subsumption resolution 156,149]
% SZS output end... | 0 |
If john is not funny then paul is calm or not old. Everyone who is curious or patient is old or curious and vice versa. Everyone who is either not creative or funny is generous and vice versa. Everyone who is humble is both calm and not humble. If someone is not generous or patient then susan is not tall and vice versa... | Susan is not patient. | neutral | ((~funny(john))=>((calm(paul)|~old(paul))))&
(![X]:((curious(X)|patient(X))<=>(old(X)|curious(X))))&
(![X]:((~creative(X)<~>funny(X))<=>generous(X)))&
(![X]:(humble(X)=>(calm(X)&~humble(X))))&
((?[X]:((~generous(X)|patient(X))))<=>(~tall(susan)))&
((?[X]:((tall(X)&kind(X))))<=>(?[X]:((curious(X)<~>~curious(X)))))&
((?[... | ~patient(susan) | [] | null | 0 |
Everyone who is both funny and not rich is either not patient or old and vice versa. If lucy is either rich or not generous then alice is both calm and curious. Everyone who is both creative and happy is both brave and not happy and vice versa. Everyone who is not tall or rich is not strong and vice versa. If john is b... | Mary is happy. | neutral | (![X]:((funny(X)&~rich(X))<=>(~patient(X)<~>old(X))))&
(((rich(lucy)<~>~generous(lucy)))=>((calm(alice)&curious(alice))))&
(![X]:((creative(X)&happy(X))<=>(brave(X)&~happy(X))))&
(![X]:((~tall(X)|rich(X))<=>~strong(X)))&
(((~tall(john)&~calm(john)))=>((~kind(paul)&~strong(paul))))&
((?[X]:(~creative(X)))<=>(~funny(fred... | happy(mary) | [] | null | 0 |
If paul is either not old or not wise then paul is either not patient or not wise. If someone is both not strong and brave then john is both patient and not creative and vice versa. If someone is either not tall or not old then someone is happy. Everyone who is either kind or wise is either not kind or not brave and vi... | Paul is tall. | contradiction | (((~old(paul)<~>~wise(paul)))=>((~patient(paul)<~>~wise(paul))))&
((?[X]:((~strong(X)&brave(X))))<=>((patient(john)&~creative(john))))&
((?[X]:((~tall(X)<~>~old(X))))=>(?[X]:(happy(X))))&
(![X]:((kind(X)<~>wise(X))<=>(~kind(X)<~>~brave(X))))&
((?[X]:((humble(X)&old(X))))<=>((~tall(john)|~wise(john))))&
((~kind(alice))<... | tall(paul) | [
"p0",
"p2",
"p3",
"p6",
"p9",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2699378771993452884159927
% SZS output start Proof for 2699378771993452884159927
1. (~old(paul) <~> ~wise(paul)) => (~patient(paul) <~> ~wise(paul)) [input p0]
3. ? [X0] : (~tall(X0) <~> ~old(X0)) => ? [X0] : happy(X0) [input p2]
4. ! [X0] : ((kind(X0) <~> wise(X0)) <=> (~kind(X0) <~> ~br... | 0 |
Everyone who is either not tall or not funny is both not tall and happy and vice versa. Everyone who is tall is not patient or not kind and vice versa. Everyone who is both not brave and not tall is either rich or calm and vice versa. Everyone who is either creative or kind is both quiet and rich. If lucy is old or not... | Lucy is not quiet. | contradiction | (![X]:((~tall(X)<~>~funny(X))<=>(~tall(X)&happy(X))))&
(![X]:(tall(X)<=>(~patient(X)|~kind(X))))&
(![X]:((~brave(X)&~tall(X))<=>(rich(X)<~>calm(X))))&
(![X]:((creative(X)<~>kind(X))=>(quiet(X)&rich(X))))&
(((old(lucy)|~patient(lucy)))<=>(?[X]:((brave(X)&generous(X)))))&
(![X]:((~curious(X)&~funny(X))=>~rich(X)))&
(![X]... | ~quiet(lucy) | [
"p3",
"p4",
"p6",
"p9",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 60785607387969641498924
% SZS output start Proof for 60785607387969641498924
4. ! [X0] : ((creative(X0) <~> kind(X0)) => (rich(X0) & quiet(X0))) [input p3]
5. (~patient(lucy) | old(lucy)) <=> ? [X0] : (generous(X0) & brave(X0)) [input p4]
7. ! [X0] : ((~kind(X0) | old(X0)) => (kind(X0) & ... | 0 |
If someone is curious then someone is either not funny or not quiet and vice versa.
Everyone who is not quiet or not rich is either wise or not happy.
If paul is both tall and not old then someone is brave or creative.
Everyone who is both not strong and not creative is not strong or not tall and vice versa.
Everyone w... | Mary is not rich. | neutral | ((?[X]:(curious(X)))<=>(?[X]:((~funny(X)<~>~quiet(X)))))&
(![X]:((~quiet(X)|~rich(X))=>(wise(X)<~>~happy(X))))&
(((tall(paul)&~old(paul)))=>(?[X]:((brave(X)|creative(X)))))&
(![X]:((~strong(X)&~creative(X))<=>(~strong(X)|~tall(X))))&
(![X]:(calm(X)=>(~creative(X)|old(X))))&
((?[X]:((~quiet(X)<~>calm(X))))=>((old(fred)|... | ~rich(mary) | [] | null | 0 |
Everyone who is either not creative or not old is both not calm and not strong.
If someone is both not humble and creative then someone is both not happy and wise and vice versa.
Everyone who is both not strong and humble is both old and not humble and vice versa.
Everyone who is not kind or not creative is not creativ... | Susan is not humble. | contradiction | (![X]:((~creative(X)<~>~old(X))=>(~calm(X)&~strong(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:((~happy(X)&wise(X)))))&
(![X]:((~strong(X)&humble(X))<=>(old(X)&~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~creative(X)|wise(X))))&
(![X]:((~patient(X)&~wise(X))<=>~creative(X)))&
(![X]:((~tall(X)&~happy(X))=>stro... | ~humble(susan) | [
"p1",
"p2",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5768317838559446556172104
% SZS output start Proof for 5768317838559446556172104
2. ? [X0] : (creative(X0) & ~humble(X0)) <=> ? [X0] : (wise(X0) & ~happy(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~strong(X0)) <=> (~humble(X0) & old(X0))) [input p2]
8. ! [X0] : ((~creative(X0) | ~strong(X... | 0 |
Everyone who is old or funny is not old and vice versa. If someone is not humble or not generous then someone is both not humble and kind and vice versa. Everyone who is not quiet is both happy and humble. If someone is both not brave and not quiet then john is both not strong and kind and vice versa. If mary is not cr... | Paul is curious. | entailment | (![X]:((old(X)|funny(X))<=>~old(X)))&
((?[X]:((~humble(X)|~generous(X))))<=>(?[X]:((~humble(X)&kind(X)))))&
(![X]:(~quiet(X)=>(happy(X)&humble(X))))&
((?[X]:((~brave(X)&~quiet(X))))<=>((~strong(john)&kind(john))))&
(((~creative(mary)|~quiet(mary)))<=>(?[X]:((~wise(X)&curious(X)))))&
(((~generous(lucy)<~>~calm(lucy)))=>... | curious(paul) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 504494994806351375799404
% SZS output start Proof for 504494994806351375799404
1. ! [X0] : ((funny(X0) | old(X0)) <=> ~old(X0)) [input p0]
7. ! [X0] : ((~old(X0) & ~curious(X0)) <=> (strong(X0) & creative(X0))) [input p6]
12. ! [X0] : ((rich(X0) | strong(X0)) <=> (old(X0) & funny(X0))) [i... | 0 |
Everyone who is strong or not wise is not rich.
Everyone who is old is not rich and vice versa.
If fred is patient then lucy is not curious or happy.
Everyone who is both not patient and rich is both creative and not humble and vice versa.
Everyone who is not old or rich is generous or not kind and vice versa.
Everyone... | Fred is calm. | entailment | (![X]:((strong(X)|~wise(X))=>~rich(X)))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patient(X)&rich(X))<=>(creative(X)&~humble(X))))&
(![X]:((~old(X)|rich(X))<=>(generous(X)|~kind(X))))&
(![X]:((~brave(X)<~>creative(X))<=>(~quiet(X)|quiet(X))))&
(![X]:(~happy(X)=>(generous(X... | calm(fred) | [
"p0",
"p1",
"p4",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7985576739479275622385591
% SZS output start Proof for 7985576739479275622385591
1. ! [X0] : ((~wise(X0) | strong(X0)) => ~rich(X0)) [input p0]
2. ! [X0] : (old(X0) <=> ~rich(X0)) [input p1]
5. ! [X0] : ((rich(X0) | ~old(X0)) <=> (~kind(X0) | generous(X0))) [input p4]
10. ! [X0] : (funny(... | 0 |
Everyone who is rich or wise is both not patient and generous and vice versa.
Everyone who is either not curious or old is either rich or not kind and vice versa.
If paul is not strong then someone is either creative or not creative and vice versa.
Everyone who is kind or curious is both tall and creative and vice vers... | Paul is not happy. | neutral | (![X]:((rich(X)|wise(X))<=>(~patient(X)&generous(X))))&
(![X]:((~curious(X)<~>old(X))<=>(rich(X)<~>~kind(X))))&
((~strong(paul))<=>(?[X]:((creative(X)<~>~creative(X)))))&
(![X]:((kind(X)|curious(X))<=>(tall(X)&creative(X))))&
(![X]:((happy(X)|~quiet(X))=>brave(X)))&
(![X]:(creative(X)<=>(~rich(X)|~quiet(X))))&
((~calm(... | ~happy(paul) | [] | null | 0 |
Everyone who is either not rich or creative is either happy or generous. Everyone who is not tall is not kind or rich. If mary is tall or not calm then someone is not calm or not happy and vice versa. Everyone who is not old is generous. Everyone who is rich or not patient is not tall and vice versa. If someone is both... | Lucy is kind. | contradiction | (![X]:((~rich(X)<~>creative(X))=>(happy(X)<~>generous(X))))&
(![X]:(~tall(X)=>(~kind(X)|rich(X))))&
(((tall(mary)|~calm(mary)))<=>(?[X]:((~calm(X)|~happy(X)))))&
(![X]:(~old(X)=>generous(X)))&
(![X]:((rich(X)|~patient(X))<=>~tall(X)))&
((?[X]:((~rich(X)&kind(X))))<=>((rich(fred)<~>~generous(fred))))&
(![X]:((patient(X)... | kind(lucy) | [
"p6",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 924885443092486550275961
% SZS output start Proof for 924885443092486550275961
7. ! [X0] : ((~curious(X0) | patient(X0)) => (~tall(X0) <~> kind(X0))) [input p6]
16. ! [X0] : (calm(X0) <=> (~calm(X0) | ~curious(X0))) [input p15]
19. ~tall(lucy) [input p18]
23. kind(lucy) [input hypothesis]... | 0 |
Everyone who is either not happy or quiet is not brave. Everyone who is either brave or not creative is happy. If someone is both not old and not quiet then someone is calm or not funny. If someone is calm or not calm then alice is not happy and vice versa. Everyone who is not funny is both not happy and not brave and ... | Susan is wise. | entailment | (![X]:((~happy(X)<~>quiet(X))=>~brave(X)))&
(![X]:((brave(X)<~>~creative(X))=>happy(X)))&
((?[X]:((~old(X)&~quiet(X))))=>(?[X]:((calm(X)|~funny(X)))))&
((?[X]:((calm(X)|~calm(X))))<=>(~happy(alice)))&
(![X]:(~funny(X)<=>(~happy(X)&~brave(X))))&
(![X]:(creative(X)<=>~generous(X)))&
((?[X]:((~tall(X)&humble(X))))=>((quie... | wise(susan) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 339245301739110412999862
% SZS output start Proof for 339245301739110412999862
20. old(susan) & wise(susan) [input p19]
24. ~wise(susan) [input hypothesis]
121. wise(susan) [cnf transformation 20]
126. ~wise(susan) [cnf transformation 24]
282. $false [subsumption resolution 126,121]
% SZS... | 0 |
If someone is both not brave and happy then someone is not quiet or not humble and vice versa.
If paul is not wise or not creative then someone is both strong and not brave and vice versa.
Everyone who is either not brave or brave is either creative or happy and vice versa.
Everyone who is either generous or funny is e... | Susan is not wise. | neutral | ((?[X]:((~brave(X)&happy(X))))<=>(?[X]:((~quiet(X)|~humble(X)))))&
(((~wise(paul)|~creative(paul)))<=>(?[X]:((strong(X)&~brave(X)))))&
(![X]:((~brave(X)<~>brave(X))<=>(creative(X)<~>happy(X))))&
(![X]:((generous(X)<~>funny(X))=>(wise(X)<~>curious(X))))&
(![X]:((~old(X)|tall(X))=>(~creative(X)<~>humble(X))))&
(![X]:((~p... | ~wise(susan) | [] | null | 0 |
Everyone who is old is both not kind and not old and vice versa.
If someone is not generous then someone is not quiet.
If someone is not patient then alice is both wise and not generous and vice versa.
Everyone who is not brave is either not rich or not curious.
Everyone who is both not tall and quiet is not funny or w... | Lucy is kind. | entailment | (![X]:(old(X)<=>(~kind(X)&~old(X))))&
((?[X]:(~generous(X)))=>(?[X]:(~quiet(X))))&
((?[X]:(~patient(X)))<=>((wise(alice)&~generous(alice))))&
(![X]:(~brave(X)=>(~rich(X)<~>~curious(X))))&
(![X]:((~tall(X)&quiet(X))<=>(~funny(X)|wise(X))))&
((?[X]:((happy(X)<~>patient(X))))=>(?[X]:(old(X))))&
((?[X]:((humble(X)<~>strong... | kind(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5011810188078993378532855
% SZS output start Proof for 5011810188078993378532855
1. ! [X0] : (old(X0) <=> (~old(X0) & ~kind(X0))) [input p0]
25. ~kind(lucy) [input hypothesis]
41. ! [X0] : ((old(X0) | (old(X0) | kind(X0))) & ((~old(X0) & ~kind(X0)) | ~old(X0))) [nnf transformation 1]
42. ... | 0 |
If alice is both not creative and calm then alice is not wise.
If mary is not tall or not wise then someone is tall and vice versa.
If paul is calm or not brave then someone is either creative or not quiet.
Everyone who is not patient or not rich is both patient and kind.
Everyone who is curious is not happy or patient... | Lucy is not wise. | entailment | (((~creative(alice)&calm(alice)))=>(~wise(alice)))&
(((~tall(mary)|~wise(mary)))<=>(?[X]:(tall(X))))&
(((calm(paul)|~brave(paul)))=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:((~patient(X)|~rich(X))=>(patient(X)&kind(X))))&
(![X]:(curious(X)=>(~happy(X)|patient(X))))&
((?[X]:((rich(X)&~brave(X))))<=>(?[X]:((~strong(X)|... | ~wise(lucy) | [
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 478808113257150922828123
% SZS output start Proof for 478808113257150922828123
4. ! [X0] : ((~rich(X0) | ~patient(X0)) => (kind(X0) & patient(X0))) [input p3]
15. ! [X0] : ((~kind(X0) | generous(X0)) => (~wise(X0) <~> ~patient(X0))) [input p14]
16. ! [X0] : ((humble(X0) | wise(X0)) <=> ge... | 0 |
Everyone who is both funny and kind is not creative or strong and vice versa. If john is either not curious or not creative then someone is both not creative and curious. Everyone who is not funny is funny. If fred is not happy then someone is not quiet or calm. If alice is both quiet and not strong then paul is calm o... | Lucy is not generous. | neutral | (![X]:((funny(X)&kind(X))<=>(~creative(X)|strong(X))))&
(((~curious(john)<~>~creative(john)))=>(?[X]:((~creative(X)&curious(X)))))&
(![X]:(~funny(X)=>funny(X)))&
((~happy(fred))=>(?[X]:((~quiet(X)|calm(X)))))&
(((quiet(alice)&~strong(alice)))<=>((calm(paul)|~patient(paul))))&
(((generous(mary)&patient(mary)))<=>(~happy... | ~generous(lucy) | [] | null | 0 |
If susan is creative then someone is both quiet and not wise.
Everyone who is generous is either not creative or calm and vice versa.
Everyone who is tall or not calm is either not quiet or not old and vice versa.
If someone is not creative then someone is creative or not humble and vice versa.
Everyone who is not crea... | Susan is quiet. | contradiction | ((creative(susan))=>(?[X]:((quiet(X)&~wise(X)))))&
(![X]:(generous(X)<=>(~creative(X)<~>calm(X))))&
(![X]:((tall(X)|~calm(X))<=>(~quiet(X)<~>~old(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((creative(X)|~humble(X)))))&
(![X]:(~creative(X)<=>calm(X)))&
(((generous(mary)&~strong(mary)))<=>(?[X]:((~wise(X)|~brave(X)))))&
((?[X... | quiet(susan) | [
"p1",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5476608622310810766266121
% SZS output start Proof for 5476608622310810766266121
2. ! [X0] : (generous(X0) <=> (~creative(X0) <~> calm(X0))) [input p1]
5. ! [X0] : (~creative(X0) <=> calm(X0)) [input p4]
6. (~strong(mary) & generous(mary)) <=> ? [X0] : (~brave(X0) | ~wise(X0)) [input p5]
... | 0 |
Everyone who is not happy is curious or humble.
If someone is both not kind and creative then someone is either curious or not generous.
Everyone who is funny is either humble or not calm and vice versa.
If someone is not wise or not generous then mary is strong and vice versa.
If fred is either old or funny then paul ... | Fred is curious. | neutral | (![X]:(~happy(X)=>(curious(X)|humble(X))))&
((?[X]:((~kind(X)&creative(X))))=>(?[X]:((curious(X)<~>~generous(X)))))&
(![X]:(funny(X)<=>(humble(X)<~>~calm(X))))&
((?[X]:((~wise(X)|~generous(X))))<=>(strong(mary)))&
(((old(fred)<~>funny(fred)))=>(~strong(paul)))&
(![X]:((~strong(X)&rich(X))=>(strong(X)&old(X))))&
(![X]:(... | curious(fred) | [] | null | 0 |
Everyone who is not old or not wise is not kind or quiet and vice versa.
If fred is both not brave and not old then someone is both not tall and not generous and vice versa.
Everyone who is both not curious and tall is not quiet or not patient and vice versa.
If someone is curious or not quiet then alice is both old an... | Fred is patient. | neutral | (![X]:((~old(X)|~wise(X))<=>(~kind(X)|quiet(X))))&
(((~brave(fred)&~old(fred)))<=>(?[X]:((~tall(X)&~generous(X)))))&
(![X]:((~curious(X)&tall(X))<=>(~quiet(X)|~patient(X))))&
((?[X]:((curious(X)|~quiet(X))))=>((old(alice)&~calm(alice))))&
(![X]:((patient(X)&~wise(X))<=>(~old(X)<~>curious(X))))&
(((~generous(john)|tall(... | patient(fred) | [] | null | 0 |
Everyone who is either tall or happy is both not rich and wise.
If someone is both patient and not creative then john is either not curious or happy and vice versa.
If alice is wise or patient then mary is both tall and old and vice versa.
If someone is humble or not humble then someone is humble and vice versa.
Everyo... | Fred is humble. | contradiction | (![X]:((tall(X)<~>happy(X))=>(~rich(X)&wise(X))))&
((?[X]:((patient(X)&~creative(X))))<=>((~curious(john)<~>happy(john))))&
(((wise(alice)|patient(alice)))<=>((tall(mary)&old(mary))))&
((?[X]:((humble(X)|~humble(X))))<=>(?[X]:(humble(X))))&
(![X]:((tall(X)&~old(X))=>(happy(X)&strong(X))))&
((creative(fred))<=>(?[X]:((t... | humble(fred) | [
"p2",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7304211642553643867536929
% SZS output start Proof for 7304211642553643867536929
3. (patient(alice) | wise(alice)) <=> (old(mary) & tall(mary)) [input p2]
6. creative(fred) <=> ? [X0] : (~patient(X0) | tall(X0)) [input p5]
7. ! [X0] : ((~humble(X0) & generous(X0)) <=> (creative(X0) | happ... | 0 |
If someone is old or wise then alice is calm. Everyone who is either not kind or not happy is either not quiet or old and vice versa. If someone is not old then susan is not funny. If mary is patient then someone is not calm and vice versa. If john is either not happy or rich then someone is old or not strong and vice ... | Susan is not kind. | entailment | ((?[X]:((old(X)|wise(X))))=>(calm(alice)))&
(![X]:((~kind(X)<~>~happy(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:(~old(X)))=>(~funny(susan)))&
((patient(mary))<=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>(~funny(X)&rich(X))))&
(![X]:((~quiet(X)<~>calm(X... | ~kind(susan) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1754437276293098380526816
% SZS output start Proof for 1754437276293098380526816
1. ? [X0] : (wise(X0) | old(X0)) => calm(alice) [input p0]
2. ! [X0] : ((~kind(X0) <~> ~happy(X0)) <=> (~quiet(X0) <~> old(X0))) [input p1]
3. ? [X0] : ~old(X0) => ~funny(susan) [input p2]
6. ! [X0] : ((~happ... | 0 |
Everyone who is either not brave or not happy is not funny.
Everyone who is either brave or not rich is not calm.
Everyone who is brave or not tall is brave or strong and vice versa.
If someone is creative then someone is both calm and not calm and vice versa.
Everyone who is quiet is funny or patient.
Everyone who is ... | Paul is not rich. | entailment | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((brave(X)<~>~rich(X))=>~calm(X)))&
(![X]:((brave(X)|~tall(X))<=>(brave(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((~pati... | ~rich(paul) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9084096333689090352363762
% SZS output start Proof for 9084096333689090352363762
6. ! [X0] : (~happy(X0) <=> (~rich(X0) <~> brave(X0))) [input p5]
19. ~brave(paul) <~> happy(paul) [input p18]
23. rich(paul) [input hypothesis]
49. ! [X0] : ((~happy(X0) | ((~rich(X0) | ~brave(X0)) & (brave(... | 0 |
If someone is wise or funny then someone is not old and vice versa.
If someone is rich then someone is funny or not rich.
Everyone who is rich or calm is either patient or not kind.
Everyone who is not kind is wise.
Everyone who is not generous is both not rich and humble.
If someone is not rich or generous then someon... | Mary is brave. | neutral | ((?[X]:((wise(X)|funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:(rich(X)))=>(?[X]:((funny(X)|~rich(X)))))&
(![X]:((rich(X)|calm(X))=>(patient(X)<~>~kind(X))))&
(![X]:(~kind(X)=>wise(X)))&
(![X]:(~generous(X)=>(~rich(X)&humble(X))))&
((?[X]:((~rich(X)|generous(X))))=>(?[X]:((patient(X)&~creative(X)))))&
(![X]:(~calm(X)<=>(~cal... | brave(mary) | [] | null | 0 |
Everyone who is not creative is both brave and not kind and vice versa.
Everyone who is both not rich and not brave is not old or old and vice versa.
Everyone who is either not calm or humble is not old or funny.
If john is old then alice is either rich or not brave.
If alice is either old or not kind then alice is not... | Susan is strong. | neutral | (![X]:(~creative(X)<=>(brave(X)&~kind(X))))&
(![X]:((~rich(X)&~brave(X))<=>(~old(X)|old(X))))&
(![X]:((~calm(X)<~>humble(X))=>(~old(X)|funny(X))))&
((old(john))=>((rich(alice)<~>~brave(alice))))&
(((old(alice)<~>~kind(alice)))=>((~happy(alice)|happy(alice))))&
(((rich(fred)<~>old(fred)))=>((~humble(john)&funny(john))))... | strong(susan) | [] | null | 0 |
If someone is both tall and brave then susan is not wise. If lucy is quiet or not creative then someone is happy or not patient and vice versa. Everyone who is either rich or curious is old. If someone is both calm and rich then someone is not brave. If fred is either not old or humble then someone is not strong. Every... | Mary is not old. | entailment | ((?[X]:((tall(X)&brave(X))))=>(~wise(susan)))&
(((quiet(lucy)|~creative(lucy)))<=>(?[X]:((happy(X)|~patient(X)))))&
(![X]:((rich(X)<~>curious(X))=>old(X)))&
((?[X]:((calm(X)&rich(X))))=>(?[X]:(~brave(X))))&
(((~old(fred)<~>humble(fred)))=>(?[X]:(~strong(X))))&
(![X]:(funny(X)=>(calm(X)&~rich(X))))&
(((rich(paul)|happy(... | ~old(mary) | [
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 760317248880884334587121
% SZS output start Proof for 760317248880884334587121
6. ! [X0] : (funny(X0) => (~rich(X0) & calm(X0))) [input p5]
14. ! [X0] : (old(X0) <=> funny(X0)) [input p13]
19. ~wise(mary) & ~calm(mary) [input p18]
25. old(mary) [input hypothesis]
31. ! [X0] : ((~rich(X0) ... | 0 |
Everyone who is either quiet or not wise is patient and vice versa.
Everyone who is both patient and not calm is either rich or not curious and vice versa.
If susan is both not strong and not tall then someone is either not rich or not strong.
If someone is both not tall and not brave then someone is funny or kind and ... | John is not tall. | entailment | (![X]:((quiet(X)<~>~wise(X))<=>patient(X)))&
(![X]:((patient(X)&~calm(X))<=>(rich(X)<~>~curious(X))))&
(((~strong(susan)&~tall(susan)))=>(?[X]:((~rich(X)<~>~strong(X)))))&
((?[X]:((~tall(X)&~brave(X))))<=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((humble(X)&funny(X)))))&
((?[X]:(generous(X)))<=>((~gener... | ~tall(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8832516362392800659619726
% SZS output start Proof for 8832516362392800659619726
16. ! [X0] : (tall(X0) <=> (kind(X0) & ~kind(X0))) [input p15]
25. tall(john) [input hypothesis]
72. ! [X0] : ((tall(X0) | (~kind(X0) | kind(X0))) & ((kind(X0) & ~kind(X0)) | ~tall(X0))) [nnf transformation 1... | 0 |
If alice is tall or not curious then john is not brave or not tall.
If someone is either happy or not calm then someone is either not rich or not strong and vice versa.
If john is not wise then paul is not quiet.
If someone is not strong or not calm then someone is happy.
Everyone who is either not creative or kind is ... | Paul is not creative. | contradiction | (((tall(alice)|~curious(alice)))=>((~brave(john)|~tall(john))))&
((?[X]:((happy(X)<~>~calm(X))))<=>(?[X]:((~rich(X)<~>~strong(X)))))&
((~wise(john))=>(~quiet(paul)))&
((?[X]:((~strong(X)|~calm(X))))=>(?[X]:(happy(X))))&
(![X]:((~creative(X)<~>kind(X))=>(~happy(X)&brave(X))))&
(![X]:(tall(X)=>(~quiet(X)|strong(X))))&
(!... | ~creative(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2887052108493392529747872
% SZS output start Proof for 2887052108493392529747872
20. creative(paul) & strong(paul) [input p19]
25. ~creative(paul) [input hypothesis]
120. creative(paul) [cnf transformation 20]
125. ~creative(paul) [cnf transformation 25]
323. $false [subsumption resolutio... | 0 |
If mary is not old or not creative then someone is patient.
If someone is happy then paul is not calm and vice versa.
Everyone who is rich is either tall or humble.
If alice is both not generous and generous then alice is not brave and vice versa.
Everyone who is not strong or rich is both not creative and not funny.
I... | Paul is brave. | neutral | (((~old(mary)|~creative(mary)))=>(?[X]:(patient(X))))&
((?[X]:(happy(X)))<=>(~calm(paul)))&
(![X]:(rich(X)=>(tall(X)<~>humble(X))))&
(((~generous(alice)&generous(alice)))<=>(~brave(alice)))&
(![X]:((~strong(X)|rich(X))=>(~creative(X)&~funny(X))))&
((?[X]:(brave(X)))=>((~old(mary)|kind(mary))))&
(![X]:((~strong(X)<~>~wi... | brave(paul) | [] | null | 0 |
Everyone who is both quiet and patient is kind. Everyone who is humble is either not old or not kind. If someone is both not curious and strong then fred is tall or not humble and vice versa. Everyone who is either brave or not wise is either not funny or wise and vice versa. If someone is not calm or not generous then... | Fred is rich. | neutral | (![X]:((quiet(X)&patient(X))=>kind(X)))&
(![X]:(humble(X)=>(~old(X)<~>~kind(X))))&
((?[X]:((~curious(X)&strong(X))))<=>((tall(fred)|~humble(fred))))&
(![X]:((brave(X)<~>~wise(X))<=>(~funny(X)<~>wise(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(funny(mary)))&
((?[X]:(wise(X)))<=>((generous(alice)<~>~old(alice))))&
((~wis... | rich(fred) | [] | null | 0 |
Everyone who is either not curious or funny is both old and patient.
Everyone who is both not old and not strong is both calm and tall.
Everyone who is either not wise or happy is either quiet or not curious.
Everyone who is both tall and calm is not calm and vice versa.
If someone is either funny or tall then alice is... | Paul is kind. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&patient(X))))&
(![X]:((~old(X)&~strong(X))=>(calm(X)&tall(X))))&
(![X]:((~wise(X)<~>happy(X))=>(quiet(X)<~>~curious(X))))&
(![X]:((tall(X)&calm(X))<=>~calm(X)))&
((?[X]:((funny(X)<~>tall(X))))=>((happy(alice)<~>kind(alice))))&
(![X]:(~tall(X)=>(wise(X)<~>~rich(X))))&
(![X]:(~gen... | kind(paul) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7731119867844553634679643
% SZS output start Proof for 7731119867844553634679643
4. ! [X0] : ((calm(X0) & tall(X0)) <=> ~calm(X0)) [input p3]
8. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (kind(X0) & ~humble(X0))) [input p7]
24. ~kind(paul) [input hypothesis]
38. ! [X0] : (((calm(X0) & tall(... | 0 |
Everyone who is both happy and calm is both quiet and kind.
Everyone who is either not curious or kind is either kind or tall and vice versa.
Everyone who is either not strong or not wise is rich or wise.
Everyone who is patient or rich is either brave or not funny and vice versa.
If susan is rich then someone is eithe... | Mary is not rich. | neutral | (![X]:((happy(X)&calm(X))=>(quiet(X)&kind(X))))&
(![X]:((~curious(X)<~>kind(X))<=>(kind(X)<~>tall(X))))&
(![X]:((~strong(X)<~>~wise(X))=>(rich(X)|wise(X))))&
(![X]:((patient(X)|rich(X))<=>(brave(X)<~>~funny(X))))&
((rich(susan))<=>(?[X]:((~quiet(X)<~>~funny(X)))))&
((?[X]:((humble(X)<~>~funny(X))))<=>((~patient(susan)&... | ~rich(mary) | [] | null | 0 |
If someone is not curious or not strong then lucy is not old and vice versa.
Everyone who is both not patient and not humble is patient and vice versa.
Everyone who is generous is either not patient or humble.
Everyone who is both not happy and not old is tall and vice versa.
Everyone who is either creative or rich is ... | Mary is not happy. | neutral | ((?[X]:((~curious(X)|~strong(X))))<=>(~old(lucy)))&
(![X]:((~patient(X)&~humble(X))<=>patient(X)))&
(![X]:(generous(X)=>(~patient(X)<~>humble(X))))&
(![X]:((~happy(X)&~old(X))<=>tall(X)))&
(![X]:((creative(X)<~>rich(X))<=>(generous(X)|~rich(X))))&
((?[X]:((~humble(X)|~wise(X))))=>(?[X]:(quiet(X))))&
((?[X]:((wise(X)<~>... | ~happy(mary) | [] | null | 0 |
If someone is both not strong and not funny then lucy is not wise.
If someone is both happy and calm then someone is both not generous and not old and vice versa.
Everyone who is both not tall and not kind is both quiet and generous.
If paul is both not generous and not creative then someone is both strong and brave.
E... | Lucy is wise. | neutral | ((?[X]:((~strong(X)&~funny(X))))=>(~wise(lucy)))&
((?[X]:((happy(X)&calm(X))))<=>(?[X]:((~generous(X)&~old(X)))))&
(![X]:((~tall(X)&~kind(X))=>(quiet(X)&generous(X))))&
(((~generous(paul)&~creative(paul)))=>(?[X]:((strong(X)&brave(X)))))&
(![X]:((creative(X)&kind(X))=>generous(X)))&
(![X]:((~creative(X)|wise(X))<=>(~ca... | wise(lucy) | [] | null | 0 |
Everyone who is not tall or kind is both not rich and humble and vice versa.
Everyone who is not strong or brave is not patient.
Everyone who is both rich and patient is funny or not old and vice versa.
Everyone who is both not old and old is both patient and not generous.
If alice is rich then paul is not brave and vi... | Alice is not funny. | entailment | (![X]:((~tall(X)|kind(X))<=>(~rich(X)&humble(X))))&
(![X]:((~strong(X)|brave(X))=>~patient(X)))&
(![X]:((rich(X)&patient(X))<=>(funny(X)|~old(X))))&
(![X]:((~old(X)&old(X))=>(patient(X)&~generous(X))))&
((rich(alice))<=>(~brave(paul)))&
(![X]:(~rich(X)<=>(funny(X)<~>~creative(X))))&
(((~generous(fred)|generous(fred)))=... | ~funny(alice) | [
"p0",
"p1",
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2802485620165467553187552
% SZS output start Proof for 2802485620165467553187552
1. ! [X0] : ((kind(X0) | ~tall(X0)) <=> (humble(X0) & ~rich(X0))) [input p0]
2. ! [X0] : ((brave(X0) | ~strong(X0)) => ~patient(X0)) [input p1]
3. ! [X0] : ((patient(X0) & rich(X0)) <=> (~old(X0) | funny(X0))... | 0 |
If paul is not patient then john is rich or humble. If someone is not creative then paul is funny and vice versa. Everyone who is both not curious and curious is brave or humble and vice versa. Everyone who is either creative or funny is not kind. Everyone who is either generous or brave is not patient or quiet. If som... | John is calm. | neutral | ((~patient(paul))=>((rich(john)|humble(john))))&
((?[X]:(~creative(X)))<=>(funny(paul)))&
(![X]:((~curious(X)&curious(X))<=>(brave(X)|humble(X))))&
(![X]:((creative(X)<~>funny(X))=>~kind(X)))&
(![X]:((generous(X)<~>brave(X))=>(~patient(X)|quiet(X))))&
((?[X]:(quiet(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((~happy(X)|~patient... | calm(john) | [] | null | 0 |
Everyone who is either not kind or not humble is both not patient and funny.
Everyone who is either not generous or funny is either not brave or not quiet.
Everyone who is not quiet is not brave or not rich and vice versa.
If someone is not quiet then paul is brave and vice versa.
Everyone who is humble or not brave is... | John is tall. | neutral | (![X]:((~kind(X)<~>~humble(X))=>(~patient(X)&funny(X))))&
(![X]:((~generous(X)<~>funny(X))=>(~brave(X)<~>~quiet(X))))&
(![X]:(~quiet(X)<=>(~brave(X)|~rich(X))))&
((?[X]:(~quiet(X)))<=>(brave(paul)))&
(![X]:((humble(X)|~brave(X))=>(~funny(X)|~happy(X))))&
((?[X]:((~humble(X)<~>~kind(X))))<=>((humble(alice)&~quiet(alice)... | tall(john) | [] | null | 0 |
Everyone who is happy or not generous is both not funny and wise.
If someone is tall then mary is both curious and not old and vice versa.
If someone is old then susan is tall and vice versa.
If lucy is both not happy and not generous then lucy is either humble or not kind and vice versa.
Everyone who is not rich or no... | Lucy is not humble. | neutral | (![X]:((happy(X)|~generous(X))=>(~funny(X)&wise(X))))&
((?[X]:(tall(X)))<=>((curious(mary)&~old(mary))))&
((?[X]:(old(X)))<=>(tall(susan)))&
(((~happy(lucy)&~generous(lucy)))<=>((humble(lucy)<~>~kind(lucy))))&
(![X]:((~rich(X)|~creative(X))<=>(curious(X)<~>quiet(X))))&
(((~tall(fred)&~strong(fred)))<=>((funny(fred)<~>~... | ~humble(lucy) | [] | null | 0 |
Everyone who is both not generous and not curious is brave. If someone is both rich and happy then fred is both not quiet and calm and vice versa. Everyone who is both not humble and creative is funny. If lucy is strong or not kind then paul is strong or curious and vice versa. Everyone who is tall or not strong is bot... | Paul is brave. | entailment | (![X]:((~generous(X)&~curious(X))=>brave(X)))&
((?[X]:((rich(X)&happy(X))))<=>((~quiet(fred)&calm(fred))))&
(![X]:((~humble(X)&creative(X))=>funny(X)))&
(((strong(lucy)|~kind(lucy)))<=>((strong(paul)|curious(paul))))&
(![X]:((tall(X)|~strong(X))=>(curious(X)&~kind(X))))&
(![X]:((~strong(X)<~>~humble(X))=>~funny(X)))&
(... | brave(paul) | [
"p1",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1291892509528828045422886
% SZS output start Proof for 1291892509528828045422886
2. ? [X0] : (happy(X0) & rich(X0)) <=> (calm(fred) & ~quiet(fred)) [input p1]
12. ! [X0] : ((~quiet(X0) | tall(X0)) => kind(X0)) [input p11]
13. ! [X0] : ((~creative(X0) & rich(X0)) <=> (~calm(X0) | calm(X0))... | 0 |
If mary is both not kind and not happy then someone is wise. Everyone who is either not tall or not patient is either not curious or not old. If alice is either funny or brave then someone is not creative or generous and vice versa. If susan is calm or not patient then paul is both not curious and calm. Everyone who is... | Lucy is tall. | neutral | (((~kind(mary)&~happy(mary)))=>(?[X]:(wise(X))))&
(![X]:((~tall(X)<~>~patient(X))=>(~curious(X)<~>~old(X))))&
(((funny(alice)<~>brave(alice)))<=>(?[X]:((~creative(X)|generous(X)))))&
(((calm(susan)|~patient(susan)))=>((~curious(paul)&calm(paul))))&
(![X]:((~wise(X)<~>calm(X))<=>~calm(X)))&
(((~wise(alice)<~>calm(alice)... | tall(lucy) | [] | null | 0 |
Everyone who is both patient and not funny is not rich or rich and vice versa.
Everyone who is not creative or not quiet is either not calm or funny and vice versa.
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is eith... | Paul is kind. | contradiction | (![X]:((patient(X)&~funny(X))<=>(~rich(X)|rich(X))))&
(![X]:((~creative(X)|~quiet(X))<=>(~calm(X)<~>funny(X))))&
(![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patien... | kind(paul) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5463904374634304073245207
% SZS output start Proof for 5463904374634304073245207
1. ! [X0] : ((~funny(X0) & patient(X0)) <=> (rich(X0) | ~rich(X0))) [input p0]
4. ! [X0] : ((curious(X0) | ~curious(X0)) <=> generous(X0)) [input p3]
6. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & ... | 0 |
Everyone who is not patient is wise or kind. If someone is kind then paul is kind or not brave. If paul is not brave then lucy is not rich or kind. If susan is either not strong or patient then someone is funny and vice versa. If someone is both not tall and creative then someone is not generous or quiet and vice versa... | Paul is not brave. | neutral | (![X]:(~patient(X)=>(wise(X)|kind(X))))&
((?[X]:(kind(X)))=>((kind(paul)|~brave(paul))))&
((~brave(paul))=>((~rich(lucy)|kind(lucy))))&
(((~strong(susan)<~>patient(susan)))<=>(?[X]:(funny(X))))&
((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((~generous(X)|quiet(X)))))&
((?[X]:(~tall(X)))<=>(?[X]:((~wise(X)|~generous(X)))))&... | ~brave(paul) | [] | null | 0 |
Everyone who is both not calm and kind is generous and vice versa.
If someone is both not quiet and not kind then susan is both creative and not patient and vice versa.
If susan is both not curious and not old then alice is both not tall and strong and vice versa.
Everyone who is tall or not generous is not curious or ... | Susan is old. | entailment | (![X]:((~calm(X)&kind(X))<=>generous(X)))&
((?[X]:((~quiet(X)&~kind(X))))<=>((creative(susan)&~patient(susan))))&
(((~curious(susan)&~old(susan)))<=>((~tall(alice)&strong(alice))))&
(![X]:((tall(X)|~generous(X))=>(~curious(X)|old(X))))&
(![X]:((tall(X)&~tall(X))=>(quiet(X)|~quiet(X))))&
(((~old(paul)&~tall(paul)))=>((~... | old(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7415857901492070114241382
% SZS output start Proof for 7415857901492070114241382
18. old(susan) & creative(susan) [input p17]
25. ~old(susan) [input hypothesis]
136. old(susan) [cnf transformation 18]
147. ~old(susan) [cnf transformation 25]
181. 8 <=> old(susan) [avatar definition]
319. ... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or not curious is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone is... | Fred is not humble. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|~curious(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))... | ~humble(fred) | [
"p0",
"p1",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 729055089410851002989468
% SZS output start Proof for 729055089410851002989468
1. ! [X0] : ((~curious(X0) <~> funny(X0)) => (~creative(X0) & old(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | old(X0)) => (~strong(X0) & ~old(X0))) [input p1]
6. ! [X0] : ((quiet(X0) | curious(X0)) => (rich(X... | 0 |
Everyone who is either not strong or rich is either calm or happy and vice versa.
Everyone who is both creative and humble is both not wise and not creative.
If someone is both wise and patient then someone is either generous or tall.
If fred is both kind and not quiet then someone is not curious or generous and vice v... | Alice is not happy. | contradiction | (![X]:((~strong(X)<~>rich(X))<=>(calm(X)<~>happy(X))))&
(![X]:((creative(X)&humble(X))=>(~wise(X)&~creative(X))))&
((?[X]:((wise(X)&patient(X))))=>(?[X]:((generous(X)<~>tall(X)))))&
(((kind(fred)&~quiet(fred)))<=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((humble(X)&~brave(X))))<=>(?[X]:((~kind(X)<~>~calm(X)))))&
(![... | ~happy(alice) | [
"p5",
"p8",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 970289639858058989319536
% SZS output start Proof for 970289639858058989319536
6. ! [X0] : ((calm(X0) & wise(X0)) <=> (funny(X0) | ~curious(X0))) [input p5]
9. ! [X0] : ((~brave(X0) & ~creative(X0)) <=> brave(X0)) [input p8]
10. calm(fred) <=> ? [X0] : (~patient(X0) & wise(X0)) [input p9]... | 0 |
If someone is both not quiet and patient then someone is either kind or not creative.
Everyone who is not tall or not strong is both generous and patient and vice versa.
Everyone who is both not kind and quiet is not patient and vice versa.
Everyone who is not creative or not strong is tall and vice versa.
Everyone who... | Lucy is not brave. | neutral | ((?[X]:((~quiet(X)&patient(X))))=>(?[X]:((kind(X)<~>~creative(X)))))&
(![X]:((~tall(X)|~strong(X))<=>(generous(X)&patient(X))))&
(![X]:((~kind(X)&quiet(X))<=>~patient(X)))&
(![X]:((~creative(X)|~strong(X))<=>tall(X)))&
(![X]:((old(X)<~>curious(X))=>~quiet(X)))&
(![X]:((quiet(X)&~rich(X))=>(patient(X)<~>rich(X))))&
(((~... | ~brave(lucy) | [] | null | 0 |
If paul is either happy or not calm then someone is both happy and not tall. Everyone who is either not tall or not funny is not happy or not humble. If paul is not quiet then someone is humble or brave. Everyone who is funny is both happy and patient and vice versa. Everyone who is either wise or not creative is not c... | Paul is not calm. | neutral | (((happy(paul)<~>~calm(paul)))=>(?[X]:((happy(X)&~tall(X)))))&
(![X]:((~tall(X)<~>~funny(X))=>(~happy(X)|~humble(X))))&
((~quiet(paul))=>(?[X]:((humble(X)|brave(X)))))&
(![X]:(funny(X)<=>(happy(X)&patient(X))))&
(![X]:((wise(X)<~>~creative(X))=>~curious(X)))&
(((~strong(alice)|~rich(alice)))=>((~happy(fred)|patient(fre... | ~calm(paul) | [] | null | 0 |
Everyone who is tall is quiet or not tall and vice versa.
If someone is either not creative or not tall then someone is patient.
Everyone who is not creative or quiet is either humble or not brave and vice versa.
Everyone who is both not strong and not quiet is both humble and happy and vice versa.
If alice is either c... | John is not patient. | entailment | (![X]:(tall(X)<=>(quiet(X)|~tall(X))))&
((?[X]:((~creative(X)<~>~tall(X))))=>(?[X]:(patient(X))))&
(![X]:((~creative(X)|quiet(X))<=>(humble(X)<~>~brave(X))))&
(![X]:((~strong(X)&~quiet(X))<=>(humble(X)&happy(X))))&
(((calm(alice)<~>happy(alice)))=>(curious(mary)))&
((patient(mary))<=>(kind(mary)))&
(((~curious(lucy)|br... | ~patient(john) | [
"p0",
"p3",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8034543197282836047675635
% SZS output start Proof for 8034543197282836047675635
1. ! [X0] : (tall(X0) <=> (~tall(X0) | quiet(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) & ~strong(X0)) <=> (happy(X0) & humble(X0))) [input p3]
12. ! [X0] : ((~happy(X0) | ~humble(X0)) => (~calm(X0) & ~patient... | 0 |
Everyone who is either not generous or not tall is not wise or not generous and vice versa. If mary is both not patient and brave then fred is either not tall or tall. If someone is either not old or not happy then someone is both calm and old. Everyone who is old is strong. Everyone who is tall is both funny and not t... | Alice is wise. | contradiction | (![X]:((~generous(X)<~>~tall(X))<=>(~wise(X)|~generous(X))))&
(((~patient(mary)&brave(mary)))=>((~tall(fred)<~>tall(fred))))&
((?[X]:((~old(X)<~>~happy(X))))=>(?[X]:((calm(X)&old(X)))))&
(![X]:(old(X)=>strong(X)))&
(![X]:(tall(X)=>(funny(X)&~tall(X))))&
((?[X]:(rich(X)))<=>(?[X]:((old(X)|calm(X)))))&
((?[X]:((~patient(... | wise(alice) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4999993563476407979824592
% SZS output start Proof for 4999993563476407979824592
1. ! [X0] : ((~generous(X0) <~> ~tall(X0)) <=> (~generous(X0) | ~wise(X0))) [input p0]
5. ! [X0] : (tall(X0) => (~tall(X0) & funny(X0))) [input p4]
23. wise(alice) [input hypothesis]
32. ! [X0] : ((~tall(X0) ... | 0 |
Everyone who is not tall is either patient or kind.
Everyone who is not calm or not funny is either not humble or brave.
Everyone who is not calm is not brave or patient.
Everyone who is quiet or wise is patient or not strong.
Everyone who is either not humble or quiet is not strong.
Everyone who is both humble and not... | Alice is old. | entailment | (![X]:(~tall(X)=>(patient(X)<~>kind(X))))&
(![X]:((~calm(X)|~funny(X))=>(~humble(X)<~>brave(X))))&
(![X]:(~calm(X)=>(~brave(X)|patient(X))))&
(![X]:((quiet(X)|wise(X))=>(patient(X)|~strong(X))))&
(![X]:((~humble(X)<~>quiet(X))=>~strong(X)))&
(![X]:((humble(X)&~calm(X))<=>~old(X)))&
(![X]:(~wise(X)<=>(wise(X)<~>curious(... | old(alice) | [
"p6",
"p9",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8895912324475858370315221
% SZS output start Proof for 8895912324475858370315221
7. ! [X0] : (~wise(X0) <=> (wise(X0) <~> curious(X0))) [input p6]
10. ! [X0] : (~strong(X0) <=> (tall(X0) | old(X0))) [input p9]
14. ! [X0] : ((kind(X0) | strong(X0)) <=> ~curious(X0)) [input p13]
15. tall(al... | 0 |
If paul is both generous and not rich then someone is either not calm or brave and vice versa.
If paul is both patient and not creative then john is both not quiet and not humble and vice versa.
Everyone who is either not old or old is creative or not creative and vice versa.
Everyone who is not generous is both funny ... | Paul is not generous. | contradiction | (((generous(paul)&~rich(paul)))<=>(?[X]:((~calm(X)<~>brave(X)))))&
(((patient(paul)&~creative(paul)))<=>((~quiet(john)&~humble(john))))&
(![X]:((~old(X)<~>old(X))<=>(creative(X)|~creative(X))))&
(![X]:(~generous(X)=>(funny(X)&~funny(X))))&
((?[X]:((~calm(X)|~rich(X))))=>(?[X]:((~calm(X)&patient(X)))))&
((tall(lucy))=>(... | ~generous(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3067229530521672135361101
% SZS output start Proof for 3067229530521672135361101
4. ! [X0] : (~generous(X0) => (~funny(X0) & funny(X0))) [input p3]
25. ~generous(paul) [input hypothesis]
29. ! [X0] : ((~funny(X0) & funny(X0)) | generous(X0)) [ennf transformation 4]
97. funny(X0) | generou... | 0 |
If someone is kind or curious then someone is not humble and vice versa. Everyone who is not tall is both not funny and not humble and vice versa. Everyone who is both curious and not funny is not quiet or happy. Everyone who is brave or not generous is either tall or rich and vice versa. Everyone who is not patient or... | Susan is strong. | neutral | ((?[X]:((kind(X)|curious(X))))<=>(?[X]:(~humble(X))))&
(![X]:(~tall(X)<=>(~funny(X)&~humble(X))))&
(![X]:((curious(X)&~funny(X))=>(~quiet(X)|happy(X))))&
(![X]:((brave(X)|~generous(X))<=>(tall(X)<~>rich(X))))&
(![X]:((~patient(X)|~old(X))=>(~wise(X)|~old(X))))&
(![X]:(kind(X)<=>(~strong(X)|wise(X))))&
(![X]:((old(X)&~h... | strong(susan) | [] | null | 0 |
If someone is not strong or funny then paul is both patient and old.
If someone is both humble and wise then paul is not old.
If paul is not tall then someone is either not kind or not creative.
If someone is kind or not brave then someone is quiet or not calm and vice versa.
Everyone who is creative is not patient or ... | John is not generous. | neutral | ((?[X]:((~strong(X)|funny(X))))=>((patient(paul)&old(paul))))&
((?[X]:((humble(X)&wise(X))))=>(~old(paul)))&
((~tall(paul))=>(?[X]:((~kind(X)<~>~creative(X)))))&
((?[X]:((kind(X)|~brave(X))))<=>(?[X]:((quiet(X)|~calm(X)))))&
(![X]:(creative(X)<=>(~patient(X)|~happy(X))))&
(![X]:((quiet(X)&calm(X))<=>(wise(X)&kind(X))))... | ~generous(john) | [] | null | 0 |
Everyone who is both not brave and not humble is both not wise and calm and vice versa. Everyone who is kind or not strong is not tall and vice versa. Everyone who is both rich and not old is not happy or not tall. If fred is both strong and old then mary is not brave or brave and vice versa. Everyone who is old or pat... | Susan is not happy. | neutral | (![X]:((~brave(X)&~humble(X))<=>(~wise(X)&calm(X))))&
(![X]:((kind(X)|~strong(X))<=>~tall(X)))&
(![X]:((rich(X)&~old(X))=>(~happy(X)|~tall(X))))&
(((strong(fred)&old(fred)))<=>((~brave(mary)|brave(mary))))&
(![X]:((old(X)|patient(X))<=>(~strong(X)|~quiet(X))))&
(![X]:((funny(X)&~quiet(X))<=>~humble(X)))&
((?[X]:((kind(... | ~happy(susan) | [] | null | 0 |
If susan is not calm then someone is not happy. Everyone who is both not patient and not happy is either not quiet or not tall and vice versa. If someone is either not brave or not calm then fred is both kind and humble. If john is patient or not funny then lucy is both not wise and not happy and vice versa. Everyone w... | Alice is not strong. | neutral | ((~calm(susan))=>(?[X]:(~happy(X))))&
(![X]:((~patient(X)&~happy(X))<=>(~quiet(X)<~>~tall(X))))&
((?[X]:((~brave(X)<~>~calm(X))))=>((kind(fred)&humble(fred))))&
(((patient(john)|~funny(john)))<=>((~wise(lucy)&~happy(lucy))))&
(![X]:((quiet(X)&~funny(X))<=>tall(X)))&
(![X]:(~tall(X)<=>(~old(X)|~kind(X))))&
(![X]:(quiet(... | ~strong(alice) | [] | null | 0 |
Everyone who is calm is both not rich and happy.
If someone is not patient then fred is not humble.
Everyone who is either calm or not strong is not patient.
Everyone who is not wise or tall is both happy and tall and vice versa.
Everyone who is not strong or not calm is not creative or not funny and vice versa.
If fre... | Fred is tall. | entailment | (![X]:(calm(X)=>(~rich(X)&happy(X))))&
((?[X]:(~patient(X)))=>(~humble(fred)))&
(![X]:((calm(X)<~>~strong(X))=>~patient(X)))&
(![X]:((~wise(X)|tall(X))<=>(happy(X)&tall(X))))&
(![X]:((~strong(X)|~calm(X))<=>(~creative(X)|~funny(X))))&
(((funny(fred)|~humble(fred)))<=>((~funny(alice)|patient(alice))))&
((?[X]:(rich(X)))... | tall(fred) | [
"p1",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6603829936570072779865454
% SZS output start Proof for 6603829936570072779865454
2. ? [X0] : ~patient(X0) => ~humble(fred) [input p1]
11. ! [X0] : ((tall(X0) | creative(X0)) => (tall(X0) & brave(X0))) [input p10]
13. ! [X0] : (~creative(X0) => (humble(X0) | creative(X0))) [input p12]
21. ... | 0 |
If someone is both not creative and not old then someone is not old or tall. Everyone who is either rich or curious is strong or generous. Everyone who is quiet is either not wise or not creative. Everyone who is both generous and old is humble or wise. If someone is both not wise and not brave then someone is either n... | Alice is not kind. | contradiction | ((?[X]:((~creative(X)&~old(X))))=>(?[X]:((~old(X)|tall(X)))))&
(![X]:((rich(X)<~>curious(X))=>(strong(X)|generous(X))))&
(![X]:(quiet(X)=>(~wise(X)<~>~creative(X))))&
(![X]:((generous(X)&old(X))=>(humble(X)|wise(X))))&
((?[X]:((~wise(X)&~brave(X))))=>(?[X]:((~humble(X)<~>~quiet(X)))))&
(![X]:((happy(X)|~happy(X))=>(~hu... | ~kind(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6252324629324767636228833
% SZS output start Proof for 6252324629324767636228833
6. ! [X0] : ((~happy(X0) | happy(X0)) => (kind(X0) & ~humble(X0))) [input p5]
24. ~kind(alice) [input hypothesis]
36. ! [X0] : ((kind(X0) & ~humble(X0)) | (happy(X0) & ~happy(X0))) [ennf transformation 6]
102... | 0 |
Everyone who is either kind or not old is rich and vice versa.
If paul is both not generous and wise then susan is either not curious or not kind.
If paul is patient then someone is both tall and not kind.
Everyone who is both happy and not wise is wise.
Everyone who is both not calm and generous is not calm.
If someon... | Paul is not rich. | entailment | (![X]:((kind(X)<~>~old(X))<=>rich(X)))&
(((~generous(paul)&wise(paul)))=>((~curious(susan)<~>~kind(susan))))&
((patient(paul))=>(?[X]:((tall(X)&~kind(X)))))&
(![X]:((happy(X)&~wise(X))=>wise(X)))&
(![X]:((~calm(X)&generous(X))=>~calm(X)))&
((?[X]:((~strong(X)|~wise(X))))=>(~old(john)))&
(![X]:((~funny(X)&patient(X))<=>... | ~rich(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3065340009039249263728742
% SZS output start Proof for 3065340009039249263728742
12. ! [X0] : ((rich(X0) | old(X0)) => ~rich(X0)) [input p11]
23. rich(paul) [input hypothesis]
36. ! [X0] : (~rich(X0) | (~rich(X0) & ~old(X0))) [ennf transformation 12]
107. ~rich(X0) | ~rich(X0) [cnf transf... | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
Everyone who is either not tall or not wise is either patient or tall and vice versa.
Everyone who is rich or curio... | Fred is not happy. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((rich(X)|curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(happy(X)<~>creative(X))))&
(![X]:((~kind(X)&~generous... | ~happy(fred) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6111552482766725947374552
% SZS output start Proof for 6111552482766725947374552
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~wise(X0)) <=> (patient(X0) <~> tal... | 0 |
If someone is kind or tall then paul is either strong or not generous and vice versa.
Everyone who is curious or patient is both not kind and not happy.
If mary is not wise then someone is both quiet and not patient and vice versa.
Everyone who is not generous is not patient and vice versa.
Everyone who is tall or not ... | John is strong. | neutral | ((?[X]:((kind(X)|tall(X))))<=>((strong(paul)<~>~generous(paul))))&
(![X]:((curious(X)|patient(X))=>(~kind(X)&~happy(X))))&
((~wise(mary))<=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:(~generous(X)<=>~patient(X)))&
(![X]:((tall(X)|~curious(X))=>(strong(X)&~strong(X))))&
(![X]:(old(X)<=>(~kind(X)&~calm(X))))&
(![X]:(patient... | strong(john) | [] | null | 0 |
If fred is not wise or quiet then mary is both not patient and not happy and vice versa.
If susan is both wise and not curious then mary is not strong or patient.
Everyone who is not calm or old is brave.
Everyone who is either old or not rich is rich and vice versa.
Everyone who is both not quiet and not patient is bo... | Fred is not generous. | contradiction | (((~wise(fred)|quiet(fred)))<=>((~patient(mary)&~happy(mary))))&
(((wise(susan)&~curious(susan)))=>((~strong(mary)|patient(mary))))&
(![X]:((~calm(X)|old(X))=>brave(X)))&
(![X]:((old(X)<~>~rich(X))<=>rich(X)))&
(![X]:((~quiet(X)&~patient(X))=>(quiet(X)&~kind(X))))&
(![X]:((~kind(X)&~generous(X))=>~brave(X)))&
((happy(l... | ~generous(fred) | [
"p2",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8629241635606661338979963
% SZS output start Proof for 8629241635606661338979963
3. ! [X0] : ((old(X0) | ~calm(X0)) => brave(X0)) [input p2]
4. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> rich(X0)) [input p3]
9. ! [X0] : ((brave(X0) | creative(X0)) => (generous(X0) & ~happy(X0))) [input p8]
24.... | 0 |
If mary is either brave or strong then fred is kind or not tall and vice versa. If john is generous then someone is both not patient and not rich and vice versa. If someone is not creative then someone is both not tall and humble and vice versa. If someone is not funny then someone is generous. Everyone who is either n... | John is generous. | neutral | (((brave(mary)<~>strong(mary)))<=>((kind(fred)|~tall(fred))))&
((generous(john))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((~tall(X)&humble(X)))))&
((?[X]:(~funny(X)))=>(?[X]:(generous(X))))&
(![X]:((~quiet(X)<~>~curious(X))<=>~generous(X)))&
((?[X]:(~patient(X)))=>(?[X]:((~old(X)<~>~patient(X... | generous(john) | [] | null | 0 |
Everyone who is both wise and not brave is either not strong or wise.
Everyone who is either not funny or generous is not happy or creative and vice versa.
Everyone who is not generous or not wise is both brave and not curious and vice versa.
Everyone who is both curious and kind is quiet or not patient and vice versa.... | Mary is happy. | contradiction | (![X]:((wise(X)&~brave(X))=>(~strong(X)<~>wise(X))))&
(![X]:((~funny(X)<~>generous(X))<=>(~happy(X)|creative(X))))&
(![X]:((~generous(X)|~wise(X))<=>(brave(X)&~curious(X))))&
(![X]:((curious(X)&kind(X))<=>(quiet(X)|~patient(X))))&
(((~curious(alice)|~kind(alice)))=>(?[X]:((creative(X)&humble(X)))))&
(![X]:((patient(X)<... | happy(mary) | [
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7721601233035247365938418
% SZS output start Proof for 7721601233035247365938418
7. ! [X0] : (~generous(X0) <=> (generous(X0) & ~kind(X0))) [input p6]
22. ~generous(mary) <~> ~happy(mary) [input p21]
23. happy(mary) [input hypothesis]
48. ! [X0] : ((~generous(X0) | (~generous(X0) | kind(X... | 0 |
If someone is either not curious or calm then alice is both not calm and wise and vice versa.
Everyone who is generous is both not old and tall and vice versa.
Everyone who is creative is either humble or not strong and vice versa.
Everyone who is either tall or not strong is not creative and vice versa.
Everyone who i... | John is creative. | contradiction | ((?[X]:((~curious(X)<~>calm(X))))<=>((~calm(alice)&wise(alice))))&
(![X]:(generous(X)<=>(~old(X)&tall(X))))&
(![X]:(creative(X)<=>(humble(X)<~>~strong(X))))&
(![X]:((tall(X)<~>~strong(X))<=>~creative(X)))&
(![X]:((happy(X)<~>~tall(X))<=>(creative(X)&strong(X))))&
(![X]:(strong(X)=>(~generous(X)|rich(X))))&
((?[X]:((~ge... | creative(john) | [
"p3",
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 888596692618690351442003
% SZS output start Proof for 888596692618690351442003
4. ! [X0] : ((tall(X0) <~> ~strong(X0)) <=> ~creative(X0)) [input p3]
5. ! [X0] : ((happy(X0) <~> ~tall(X0)) <=> (strong(X0) & creative(X0))) [input p4]
22. happy(john) [input p21]
25. creative(john) [input hyp... | 0 |
Everyone who is either strong or not rich is not old and vice versa.
If someone is kind then someone is both not happy and tall.
If someone is not strong or not rich then someone is either not kind or not funny and vice versa.
If someone is not brave then mary is rich and vice versa.
Everyone who is both not wise and n... | Susan is not strong. | entailment | (![X]:((strong(X)<~>~rich(X))<=>~old(X)))&
((?[X]:(kind(X)))=>(?[X]:((~happy(X)&tall(X)))))&
((?[X]:((~strong(X)|~rich(X))))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
((?[X]:(~brave(X)))<=>(rich(mary)))&
(![X]:((~wise(X)&~strong(X))=>(~brave(X)|curious(X))))&
((~old(susan))<=>(~strong(alice)))&
((happy(mary))=>(?[X]:((creati... | ~strong(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1754630419862795334326389
% SZS output start Proof for 1754630419862795334326389
14. (humble(lucy) <~> ~humble(lucy)) => ~strong(susan) [input p13]
23. strong(susan) [input hypothesis]
36. ~strong(susan) | (humble(lucy) <=> ~humble(lucy)) [ennf transformation 14]
64. ~strong(susan) | ((hu... | 0 |
If susan is not old or not kind then paul is both not strong and not creative and vice versa. If mary is not curious then susan is not strong. Everyone who is either creative or kind is either tall or happy. Everyone who is either kind or calm is rich and vice versa. Everyone who is kind is patient or not creative and ... | Mary is calm. | contradiction | (((~old(susan)|~kind(susan)))<=>((~strong(paul)&~creative(paul))))&
((~curious(mary))=>(~strong(susan)))&
(![X]:((creative(X)<~>kind(X))=>(tall(X)<~>happy(X))))&
(![X]:((kind(X)<~>calm(X))<=>rich(X)))&
(![X]:(kind(X)<=>(patient(X)|~creative(X))))&
(![X]:(brave(X)=>(~old(X)<~>~tall(X))))&
((kind(alice))=>((funny(fred)&~... | calm(mary) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7086096143240792414766569
% SZS output start Proof for 7086096143240792414766569
13. ! [X0] : ((~quiet(X0) & ~calm(X0)) <=> (~happy(X0) | quiet(X0))) [input p12]
14. ! [X0] : ((humble(X0) | ~quiet(X0)) => ~happy(X0)) [input p13]
22. calm(mary) [input hypothesis]
25. ! [X0] : (~quiet(X0) =... | 0 |
Everyone who is funny or happy is brave or generous. Everyone who is brave is kind and vice versa. If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someon... | Lucy is not funny. | entailment | (![X]:((funny(X)|happy(X))=>(brave(X)|generous(X))))&
(![X]:(brave(X)<=>kind(X)))&
((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))... | ~funny(lucy) | [
"p5",
"p7",
"p9",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2465787583694675649618809
% SZS output start Proof for 2465787583694675649618809
6. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p5]
8. ? [X0] : (~generous(X0) | ~patient(X0)) <=> ? [X0] : (~generous(X0) <~> wise(X0)) [input p7]
10. ! [X0] : ((~strong... | 0 |
Everyone who is either not old or brave is not funny.
Everyone who is either not old or not patient is both rich and not patient.
If someone is either not creative or not tall then alice is not old or rich.
Everyone who is both not curious and not quiet is not happy or not calm.
Everyone who is both kind and humble is ... | Mary is not wise. | entailment | (![X]:((~old(X)<~>brave(X))=>~funny(X)))&
(![X]:((~old(X)<~>~patient(X))=>(rich(X)&~patient(X))))&
((?[X]:((~creative(X)<~>~tall(X))))=>((~old(alice)|rich(alice))))&
(![X]:((~curious(X)&~quiet(X))=>(~happy(X)|~calm(X))))&
(![X]:((kind(X)&humble(X))=>(curious(X)|~creative(X))))&
(((~rich(susan)|~strong(susan)))<=>((~bra... | ~wise(mary) | [
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8516876901634303300268279
% SZS output start Proof for 8516876901634303300268279
9. ! [X0] : ((~happy(X0) | creative(X0)) <=> (~wise(X0) & ~quiet(X0))) [input p8]
12. ! [X0] : ((~generous(X0) & ~brave(X0)) <=> (generous(X0) <~> ~brave(X0))) [input p11]
15. ? [X0] : (~creative(X0) | genero... | 0 |
Everyone who is generous is not curious.
If mary is wise or quiet then someone is both not generous and not patient and vice versa.
If lucy is either wise or not old then someone is not funny and vice versa.
Everyone who is either quiet or calm is patient or not happy and vice versa.
If someone is either curious or not... | Susan is humble. | contradiction | (![X]:(generous(X)=>~curious(X)))&
(((wise(mary)|quiet(mary)))<=>(?[X]:((~generous(X)&~patient(X)))))&
(((wise(lucy)<~>~old(lucy)))<=>(?[X]:(~funny(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(patient(X)|~happy(X))))&
((?[X]:((curious(X)<~>~strong(X))))<=>(?[X]:((~funny(X)|~curious(X)))))&
(![X]:((~strong(X)|~tall(X))<=>(~pat... | humble(susan) | [
"p3",
"p5",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7223744205499797009169333
% SZS output start Proof for 7223744205499797009169333
4. ! [X0] : ((quiet(X0) <~> calm(X0)) <=> (~happy(X0) | patient(X0))) [input p3]
6. ! [X0] : ((~tall(X0) | ~strong(X0)) <=> (~old(X0) & ~patient(X0))) [input p5]
10. ! [X0] : ((~happy(X0) & ~old(X0)) <=> (tal... | 0 |
Everyone who is both not humble and happy is not wise.
Everyone who is either creative or patient is not quiet and vice versa.
Everyone who is old is both rich and not wise.
If someone is not generous or happy then someone is both old and not tall and vice versa.
If alice is both not curious and creative then someone i... | Alice is not old. | neutral | (![X]:((~humble(X)&happy(X))=>~wise(X)))&
(![X]:((creative(X)<~>patient(X))<=>~quiet(X)))&
(![X]:(old(X)=>(rich(X)&~wise(X))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:((old(X)&~tall(X)))))&
(((~curious(alice)&creative(alice)))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((~old(X)&~kind(X))<=>(~happy(X)<~>~kind(X))))&
(!... | ~old(alice) | [] | null | 0 |
Everyone who is not tall or calm is both strong and funny and vice versa.
If someone is either not generous or not kind then alice is both not old and not generous and vice versa.
Everyone who is both not tall and old is both wise and not quiet.
Everyone who is happy or humble is both not tall and patient.
If someone i... | Mary is calm. | neutral | (![X]:((~tall(X)|calm(X))<=>(strong(X)&funny(X))))&
((?[X]:((~generous(X)<~>~kind(X))))<=>((~old(alice)&~generous(alice))))&
(![X]:((~tall(X)&old(X))=>(wise(X)&~quiet(X))))&
(![X]:((happy(X)|humble(X))=>(~tall(X)&patient(X))))&
((?[X]:((wise(X)&tall(X))))=>(?[X]:((quiet(X)<~>~tall(X)))))&
(![X]:(happy(X)<=>generous(X))... | calm(mary) | [] | null | 0 |
Everyone who is patient is not funny and vice versa.
If someone is calm or brave then someone is not curious or not calm and vice versa.
Everyone who is not quiet is either not wise or not patient and vice versa.
Everyone who is happy or curious is either curious or not wise and vice versa.
Everyone who is either not c... | Lucy is not tall. | entailment | (![X]:(patient(X)<=>~funny(X)))&
((?[X]:((calm(X)|brave(X))))<=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:(~quiet(X)<=>(~wise(X)<~>~patient(X))))&
(![X]:((happy(X)|curious(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~calm(X)<~>strong(X))<=>(tall(X)|curious(X))))&
(((~old(paul)<~>~humble(paul)))<=>(?[X]:((~happy(X)&~generous... | ~tall(lucy) | [
"p4",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7133894573938449707885709
% SZS output start Proof for 7133894573938449707885709
5. ! [X0] : ((~calm(X0) <~> strong(X0)) <=> (curious(X0) | tall(X0))) [input p4]
7. ! [X0] : (rich(X0) <=> (~rich(X0) | happy(X0))) [input p6]
10. ! [X0] : ((kind(X0) | generous(X0)) <=> (~rich(X0) <~> ~stron... | 0 |
Everyone who is either not happy or not curious is curious.
If someone is either rich or funny then someone is both humble and creative and vice versa.
If john is both not generous and generous then someone is either humble or tall.
Everyone who is not kind or creative is not calm or old and vice versa.
If alice is fun... | Lucy is not old. | entailment | (![X]:((~happy(X)<~>~curious(X))=>curious(X)))&
((?[X]:((rich(X)<~>funny(X))))<=>(?[X]:((humble(X)&creative(X)))))&
(((~generous(john)&generous(john)))=>(?[X]:((humble(X)<~>tall(X)))))&
(![X]:((~kind(X)|creative(X))<=>(~calm(X)|old(X))))&
(((funny(alice)|kind(alice)))<=>((~quiet(alice)|quiet(alice))))&
(![X]:((quiet(X)... | ~old(lucy) | [
"p0",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1826966638444484287390148
% SZS output start Proof for 1826966638444484287390148
1. ! [X0] : ((~happy(X0) <~> ~curious(X0)) => curious(X0)) [input p0]
8. (happy(paul) <~> ~wise(paul)) <=> ? [X0] : humble(X0) [input p7]
10. ! [X0] : (curious(X0) <=> (~curious(X0) & ~patient(X0))) [input p9... | 0 |
If someone is both not patient and wise then susan is both not kind and not humble and vice versa.
Everyone who is either quiet or tall is both curious and not rich.
If someone is not kind or brave then paul is either strong or brave and vice versa.
If paul is not curious then paul is not old.
Everyone who is either qu... | Susan is not old. | entailment | ((?[X]:((~patient(X)&wise(X))))<=>((~kind(susan)&~humble(susan))))&
(![X]:((quiet(X)<~>tall(X))=>(curious(X)&~rich(X))))&
((?[X]:((~kind(X)|brave(X))))<=>((strong(paul)<~>brave(paul))))&
((~curious(paul))=>(~old(paul)))&
(![X]:((quiet(X)<~>~humble(X))<=>(tall(X)&strong(X))))&
(![X]:((old(X)<~>calm(X))=>(old(X)&kind(X))... | ~old(susan) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 688204979602808246484203
% SZS output start Proof for 688204979602808246484203
1. ? [X0] : (wise(X0) & ~patient(X0)) <=> (~humble(susan) & ~kind(susan)) [input p0]
2. ! [X0] : ((quiet(X0) <~> tall(X0)) => (~rich(X0) & curious(X0))) [input p1]
5. ! [X0] : ((quiet(X0) <~> ~humble(X0)) <=> (... | 0 |
If someone is either curious or not curious then alice is curious and vice versa.
Everyone who is either not old or not strong is old or quiet and vice versa.
If alice is both not generous and brave then mary is both creative and not calm and vice versa.
Everyone who is not tall is either not brave or not strong and vi... | Paul is not brave. | neutral | ((?[X]:((curious(X)<~>~curious(X))))<=>(curious(alice)))&
(![X]:((~old(X)<~>~strong(X))<=>(old(X)|quiet(X))))&
(((~generous(alice)&brave(alice)))<=>((creative(mary)&~calm(mary))))&
(![X]:(~tall(X)<=>(~brave(X)<~>~strong(X))))&
((?[X]:((wise(X)|generous(X))))<=>(?[X]:((creative(X)<~>~funny(X)))))&
(![X]:((tall(X)&kind(X... | ~brave(paul) | [] | null | 0 |
If someone is not rich then someone is either not humble or wise. Everyone who is not generous or not brave is not strong. Everyone who is brave is creative or not tall and vice versa. If someone is happy then susan is both calm and rich and vice versa. If someone is both not happy and generous then someone is either k... | Susan is not calm. | contradiction | ((?[X]:(~rich(X)))=>(?[X]:((~humble(X)<~>wise(X)))))&
(![X]:((~generous(X)|~brave(X))=>~strong(X)))&
(![X]:(brave(X)<=>(creative(X)|~tall(X))))&
((?[X]:(happy(X)))<=>((calm(susan)&rich(susan))))&
((?[X]:((~happy(X)&generous(X))))<=>(?[X]:((kind(X)<~>~curious(X)))))&
(![X]:((happy(X)|generous(X))=>(~strong(X)|kind(X))))... | ~calm(susan) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8862581761191990965610019
% SZS output start Proof for 8862581761191990965610019
4. ? [X0] : happy(X0) <=> (rich(susan) & calm(susan)) [input p3]
22. ? [X0] : (happy(X0) & tall(X0)) [input p21]
24. ~calm(susan) [input hypothesis]
46. (? [X0] : happy(X0) | (~rich(susan) | ~calm(susan))) & ... | 0 |
Everyone who is either not wise or creative is both not funny and not creative and vice versa. If susan is brave then lucy is calm or not rich and vice versa. Everyone who is funny is both not curious and curious and vice versa. If someone is not strong then someone is humble. If alice is either curious or generous the... | Paul is tall. | contradiction | (![X]:((~wise(X)<~>creative(X))<=>(~funny(X)&~creative(X))))&
((brave(susan))<=>((calm(lucy)|~rich(lucy))))&
(![X]:(funny(X)<=>(~curious(X)&curious(X))))&
((?[X]:(~strong(X)))=>(?[X]:(humble(X))))&
(((curious(alice)<~>generous(alice)))<=>(?[X]:((old(X)|happy(X)))))&
(((quiet(susan)|old(susan)))<=>((~old(paul)&curious(p... | tall(paul) | [
"p0",
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 822915928516402296858861
% SZS output start Proof for 822915928516402296858861
1. ! [X0] : ((~wise(X0) <~> creative(X0)) <=> (~creative(X0) & ~funny(X0))) [input p0]
3. ! [X0] : (funny(X0) <=> (curious(X0) & ~curious(X0))) [input p2]
8. ! [X0] : ((~kind(X0) | tall(X0)) => (wise(X0) & happ... | 0 |
If john is either not patient or wise then someone is either curious or not kind. If someone is both creative and not funny then mary is not old and vice versa. Everyone who is not old is kind. Everyone who is not quiet is both wise and not happy and vice versa. Everyone who is not calm or not old is both quiet and not... | Mary is humble. | contradiction | (((~patient(john)<~>wise(john)))=>(?[X]:((curious(X)<~>~kind(X)))))&
((?[X]:((creative(X)&~funny(X))))<=>(~old(mary)))&
(![X]:(~old(X)=>kind(X)))&
(![X]:(~quiet(X)<=>(wise(X)&~happy(X))))&
(![X]:((~calm(X)|~old(X))<=>(quiet(X)&~curious(X))))&
((?[X]:((humble(X)&calm(X))))<=>((kind(mary)|~patient(mary))))&
(![X]:((wise(... | humble(mary) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8890505069660570465880656
% SZS output start Proof for 8890505069660570465880656
8. ! [X0] : ((~calm(X0) & ~humble(X0)) <=> (rich(X0) | patient(X0))) [input p7]
9. ! [X0] : ((generous(X0) & ~humble(X0)) <=> ~patient(X0)) [input p8]
23. humble(mary) [input hypothesis]
45. ! [X0] : (((~calm... | 0 |
Everyone who is humble or not rich is both not brave and not generous and vice versa. Everyone who is both wise and patient is strong. If alice is curious or humble then john is tall and vice versa. If someone is either patient or rich then john is calm and vice versa. Everyone who is either not wise or not rich is not... | Mary is humble. | contradiction | (![X]:((humble(X)|~rich(X))<=>(~brave(X)&~generous(X))))&
(![X]:((wise(X)&patient(X))=>strong(X)))&
(((curious(alice)|humble(alice)))<=>(tall(john)))&
((?[X]:((patient(X)<~>rich(X))))<=>(calm(john)))&
(![X]:((~wise(X)<~>~rich(X))<=>~creative(X)))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~creative(X))))&
(![X]:(~kind(X)<=... | humble(mary) | [
"p0",
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3992885098738200455138597
% SZS output start Proof for 3992885098738200455138597
1. ! [X0] : ((~rich(X0) | humble(X0)) <=> (~generous(X0) & ~brave(X0))) [input p0]
6. ! [X0] : ((kind(X0) | ~funny(X0)) => (~creative(X0) & quiet(X0))) [input p5]
7. ! [X0] : (~kind(X0) <=> wise(X0)) [input p... | 0 |
If mary is old then someone is either not happy or not rich and vice versa. Everyone who is either quiet or wise is tall. Everyone who is not brave or happy is both wise and not rich and vice versa. Everyone who is either strong or not curious is both not quiet and not tall. Everyone who is either not kind or strong is... | Mary is not old. | contradiction | ((old(mary))<=>(?[X]:((~happy(X)<~>~rich(X)))))&
(![X]:((quiet(X)<~>wise(X))=>tall(X)))&
(![X]:((~brave(X)|happy(X))<=>(wise(X)&~rich(X))))&
(![X]:((strong(X)<~>~curious(X))=>(~quiet(X)&~tall(X))))&
(![X]:((~kind(X)<~>strong(X))=>(humble(X)<~>~generous(X))))&
(![X]:(~funny(X)<=>(~quiet(X)<~>funny(X))))&
(((strong(mary)... | ~old(mary) | [
"p0",
"p2",
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4638386490040903498839871
% SZS output start Proof for 4638386490040903498839871
1. old(mary) <=> ? [X0] : (~happy(X0) <~> ~rich(X0)) [input p0]
3. ! [X0] : ((happy(X0) | ~brave(X0)) <=> (~rich(X0) & wise(X0))) [input p2]
6. ! [X0] : (~funny(X0) <=> (~quiet(X0) <~> funny(X0))) [input p5]
... | 0 |
Everyone who is not patient is either humble or not quiet. If fred is both generous and not wise then fred is wise or not old and vice versa. Everyone who is both not kind and quiet is not creative. If someone is not tall or calm then someone is not quiet and vice versa. Everyone who is both not happy and calm is eithe... | Fred is not funny. | entailment | (![X]:(~patient(X)=>(humble(X)<~>~quiet(X))))&
(((generous(fred)&~wise(fred)))<=>((wise(fred)|~old(fred))))&
(![X]:((~kind(X)&quiet(X))=>~creative(X)))&
((?[X]:((~tall(X)|calm(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((~happy(X)&calm(X))<=>(patient(X)<~>generous(X))))&
(![X]:((curious(X)|~creative(X))<=>(~kind(X)|kind(X))))&... | ~funny(fred) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 303785101363472963209868
% SZS output start Proof for 303785101363472963209868
2. (~wise(fred) & generous(fred)) <=> (~old(fred) | wise(fred)) [input p1]
7. ! [X0] : ((~funny(X0) <~> ~wise(X0)) => (funny(X0) <~> ~wise(X0))) [input p6]
24. funny(fred) [input hypothesis]
31. ! [X0] : ((funn... | 0 |
If fred is not happy or creative then paul is not patient or curious. If someone is either not brave or tall then alice is happy. Everyone who is not wise is both patient and not tall. If paul is funny or creative then someone is patient and vice versa. Everyone who is either not tall or brave is happy and vice versa. ... | Lucy is kind. | contradiction | (((~happy(fred)|creative(fred)))=>((~patient(paul)|curious(paul))))&
((?[X]:((~brave(X)<~>tall(X))))=>(happy(alice)))&
(![X]:(~wise(X)=>(patient(X)&~tall(X))))&
(((funny(paul)|creative(paul)))<=>(?[X]:(patient(X))))&
(![X]:((~tall(X)<~>brave(X))<=>happy(X)))&
(![X]:(~wise(X)<=>(funny(X)<~>~rich(X))))&
((?[X]:((~wise(X)... | kind(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7394611974810831307419618
% SZS output start Proof for 7394611974810831307419618
20. ~kind(lucy) [input p19]
25. kind(lucy) [input hypothesis]
134. ~kind(lucy) [cnf transformation 20]
141. kind(lucy) [cnf transformation 25]
317. $false [subsumption resolution 141,134]
% SZS output end Pro... | 0 |
Everyone who is either not funny or quiet is not curious. Everyone who is both old and not rich is creative and vice versa. Everyone who is not rich is not patient and vice versa. Everyone who is not creative is both quiet and generous and vice versa. If someone is not brave or not generous then someone is either rich ... | Fred is not rich. | entailment | (![X]:((~funny(X)<~>quiet(X))=>~curious(X)))&
(![X]:((old(X)&~rich(X))<=>creative(X)))&
(![X]:(~rich(X)<=>~patient(X)))&
(![X]:(~creative(X)<=>(quiet(X)&generous(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(?[X]:((rich(X)<~>~rich(X)))))&
(((~happy(john)<~>tall(john)))=>((funny(mary)&tall(mary))))&
(![X]:((patient(X)<~>~... | ~rich(fred) | [
"p1",
"p3",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1261819635843099545159087
% SZS output start Proof for 1261819635843099545159087
2. ! [X0] : ((~rich(X0) & old(X0)) <=> creative(X0)) [input p1]
4. ! [X0] : (~creative(X0) <=> (generous(X0) & quiet(X0))) [input p3]
9. ! [X0] : ((strong(X0) <~> generous(X0)) <=> (rich(X0) | ~funny(X0))) [i... | 0 |
Everyone who is either not old or not rich is not curious or not rich and vice versa. If alice is humble then john is both rich and not creative. If someone is quiet then john is either creative or kind. If someone is curious then someone is humble or funny. Everyone who is creative or curious is rich or not calm and v... | Lucy is not tall. | neutral | (![X]:((~old(X)<~>~rich(X))<=>(~curious(X)|~rich(X))))&
((humble(alice))=>((rich(john)&~creative(john))))&
((?[X]:(quiet(X)))=>((creative(john)<~>kind(john))))&
((?[X]:(curious(X)))=>(?[X]:((humble(X)|funny(X)))))&
(![X]:((creative(X)|curious(X))<=>(rich(X)|~calm(X))))&
((~generous(alice))=>(?[X]:((~tall(X)&humble(X)))... | ~tall(lucy) | [] | null | 0 |
Everyone who is not rich is either calm or not generous.
Everyone who is either calm or quiet is creative and vice versa.
Everyone who is either rich or not happy is not creative.
If mary is both not happy and not old then someone is humble or tall and vice versa.
Everyone who is either not curious or old is not patien... | John is happy. | neutral | (![X]:(~rich(X)=>(calm(X)<~>~generous(X))))&
(![X]:((calm(X)<~>quiet(X))<=>creative(X)))&
(![X]:((rich(X)<~>~happy(X))=>~creative(X)))&
(((~happy(mary)&~old(mary)))<=>(?[X]:((humble(X)|tall(X)))))&
(![X]:((~curious(X)<~>old(X))<=>~patient(X)))&
(((~brave(john)|~wise(john)))<=>(?[X]:(generous(X))))&
((?[X]:(~wise(X)))=>... | happy(john) | [] | null | 0 |
If paul is calm then someone is strong.
If someone is either tall or not brave then someone is both quiet and curious.
If someone is either strong or not calm then someone is not funny or not strong.
If paul is not funny then paul is either quiet or humble and vice versa.
Everyone who is curious is both patient and wis... | Paul is not tall. | entailment | ((calm(paul))=>(?[X]:(strong(X))))&
((?[X]:((tall(X)<~>~brave(X))))=>(?[X]:((quiet(X)&curious(X)))))&
((?[X]:((strong(X)<~>~calm(X))))=>(?[X]:((~funny(X)|~strong(X)))))&
((~funny(paul))<=>((quiet(paul)<~>humble(paul))))&
(![X]:(curious(X)<=>(patient(X)&wise(X))))&
(![X]:((rich(X)&curious(X))<=>(~quiet(X)&~happy(X))))&
... | ~tall(paul) | [
"p3",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5856328922449902085334370
% SZS output start Proof for 5856328922449902085334370
4. ~funny(paul) <=> (quiet(paul) <~> humble(paul)) [input p3]
10. ! [X0] : ((brave(X0) | funny(X0)) <=> (~wise(X0) & patient(X0))) [input p9]
11. ! [X0] : (~tall(X0) <=> (quiet(X0) <~> humble(X0))) [input p10... | 0 |
Everyone who is both quiet and not creative is patient.
If susan is either patient or not tall then someone is curious and vice versa.
Everyone who is either tall or patient is either not brave or old and vice versa.
If someone is calm or patient then alice is both curious and rich.
If someone is both not calm and not ... | Lucy is not kind. | contradiction | (![X]:((quiet(X)&~creative(X))=>patient(X)))&
(((patient(susan)<~>~tall(susan)))<=>(?[X]:(curious(X))))&
(![X]:((tall(X)<~>patient(X))<=>(~brave(X)<~>old(X))))&
((?[X]:((calm(X)|patient(X))))=>((curious(alice)&rich(alice))))&
((?[X]:((~calm(X)&~generous(X))))<=>((~happy(alice)&creative(alice))))&
(((~tall(susan)<~>tall... | ~kind(lucy) | [
"p5",
"p6",
"p7",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 237209015879711247817439
% SZS output start Proof for 237209015879711247817439
6. (~tall(susan) <~> tall(susan)) <=> (kind(lucy) | ~happy(lucy)) [input p5]
7. ! [X0] : (~happy(X0) <=> ~calm(X0)) [input p6]
8. ! [X0] : ((~patient(X0) <~> brave(X0)) => (happy(X0) | calm(X0))) [input p7]
9. ... | 0 |
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