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 |
|---|---|---|---|---|---|---|---|
If lucy is either happy or creative then mary is not generous.
Everyone who is generous or patient is both not strong and not patient.
Everyone who is either wise or curious is tall.
If susan is both quiet and humble then alice is not rich or not strong.
Everyone who is not strong is old and vice versa.
Everyone who is... | Paul is kind. | neutral | (((happy(lucy)<~>creative(lucy)))=>(~generous(mary)))&
(![X]:((generous(X)|patient(X))=>(~strong(X)&~patient(X))))&
(![X]:((wise(X)<~>curious(X))=>tall(X)))&
(((quiet(susan)&humble(susan)))=>((~rich(alice)|~strong(alice))))&
(![X]:(~strong(X)<=>old(X)))&
(![X]:((~old(X)<~>creative(X))<=>(old(X)|wise(X))))&
(![X]:((quie... | kind(paul) | [] | null | 0 |
If alice is not rich or tall then someone is not brave and vice versa. Everyone who is either not old or not rich is both brave and not rich and vice versa. Everyone who is both curious and not kind is both not calm and not happy and vice versa. Everyone who is rich or curious is not tall or wise and vice versa. If som... | Mary is not wise. | neutral | (((~rich(alice)|tall(alice)))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(brave(X)&~rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(~calm(X)&~happy(X))))&
(![X]:((rich(X)|curious(X))<=>(~tall(X)|wise(X))))&
((?[X]:((happy(X)|tall(X))))<=>(rich(alice)))&
((?[X]:((calm(X)&old(X))))=>(?[X]:(patient(X))))&
(((wise(ma... | ~wise(mary) | [] | null | 0 |
Everyone who is either not tall or old is both wise and kind and vice versa. If someone is either not wise or not tall then paul is either brave or not wise and vice versa. Everyone who is both not happy and not creative is not old. Everyone who is not rich or not curious is not old or calm. Everyone who is not generou... | Mary is not curious. | neutral | (![X]:((~tall(X)<~>old(X))<=>(wise(X)&kind(X))))&
((?[X]:((~wise(X)<~>~tall(X))))<=>((brave(paul)<~>~wise(paul))))&
(![X]:((~happy(X)&~creative(X))=>~old(X)))&
(![X]:((~rich(X)|~curious(X))=>(~old(X)|calm(X))))&
(![X]:((~generous(X)|strong(X))=>creative(X)))&
(![X]:((creative(X)|~funny(X))=>quiet(X)))&
(![X]:((happy(X)... | ~curious(mary) | [] | null | 0 |
Everyone who is both humble and not tall is humble. If lucy is both not quiet and strong then alice is both not calm and wise and vice versa. If fred is either not patient or brave then mary is both happy and not rich. If john is not creative then paul is creative or old and vice versa. If susan is not patient then joh... | Alice is curious. | contradiction | (![X]:((humble(X)&~tall(X))=>humble(X)))&
(((~quiet(lucy)&strong(lucy)))<=>((~calm(alice)&wise(alice))))&
(((~patient(fred)<~>brave(fred)))=>((happy(mary)&~rich(mary))))&
((~creative(john))<=>((creative(paul)|old(paul))))&
((~patient(susan))=>(~creative(john)))&
(![X]:((~rich(X)&strong(X))<=>~strong(X)))&
((?[X]:(~funn... | curious(alice) | [
"p5",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4492248320031522347596298
% SZS output start Proof for 4492248320031522347596298
6. ! [X0] : ((strong(X0) & ~rich(X0)) <=> ~strong(X0)) [input p5]
12. ! [X0] : (wise(X0) <=> ~strong(X0)) [input p11]
14. ! [X0] : ((kind(X0) | curious(X0)) => wise(X0)) [input p13]
21. curious(alice) [input ... | 0 |
If someone is either tall or not calm then someone is not patient or not old and vice versa.
Everyone who is patient is brave or not funny and vice versa.
Everyone who is either not brave or not patient is creative or not rich.
If someone is either happy or not creative then john is both patient and not rich and vice v... | Fred is funny. | neutral | ((?[X]:((tall(X)<~>~calm(X))))<=>(?[X]:((~patient(X)|~old(X)))))&
(![X]:(patient(X)<=>(brave(X)|~funny(X))))&
(![X]:((~brave(X)<~>~patient(X))=>(creative(X)|~rich(X))))&
((?[X]:((happy(X)<~>~creative(X))))<=>((patient(john)&~rich(john))))&
((?[X]:((~humble(X)<~>~creative(X))))=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:(... | funny(fred) | [] | null | 0 |
If john is both humble and creative then someone is not quiet and vice versa. If someone is not wise then someone is kind. Everyone who is kind or brave is not creative or creative and vice versa. If paul is quiet or not wise then someone is not strong. Everyone who is either not kind or rich is not old or not wise and... | Mary is not rich. | contradiction | (((humble(john)&creative(john)))<=>(?[X]:(~quiet(X))))&
((?[X]:(~wise(X)))=>(?[X]:(kind(X))))&
(![X]:((kind(X)|brave(X))<=>(~creative(X)|creative(X))))&
(((quiet(paul)|~wise(paul)))=>(?[X]:(~strong(X))))&
(![X]:((~kind(X)<~>rich(X))<=>(~old(X)|~wise(X))))&
(![X]:(brave(X)=>~brave(X)))&
(![X]:((quiet(X)|~old(X))<=>(~ric... | ~rich(mary) | [
"p2",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 182215251595158198794242
% SZS output start Proof for 182215251595158198794242
3. ! [X0] : ((brave(X0) | kind(X0)) <=> (creative(X0) | ~creative(X0))) [input p2]
5. ! [X0] : ((~kind(X0) <~> rich(X0)) <=> (~wise(X0) | ~old(X0))) [input p4]
6. ! [X0] : (brave(X0) => ~brave(X0)) [input p5]
8... | 0 |
If someone is both wise and creative then lucy is either kind or not calm and vice versa.
If susan is not quiet then paul is strong.
If mary is both old and rich then someone is not rich or not happy and vice versa.
If someone is both old and not funny then someone is both not funny and old.
Everyone who is not creativ... | Mary is not curious. | neutral | ((?[X]:((wise(X)&creative(X))))<=>((kind(lucy)<~>~calm(lucy))))&
((~quiet(susan))=>(strong(paul)))&
(((old(mary)&rich(mary)))<=>(?[X]:((~rich(X)|~happy(X)))))&
((?[X]:((old(X)&~funny(X))))=>(?[X]:((~funny(X)&old(X)))))&
(![X]:((~creative(X)|tall(X))<=>(calm(X)<~>~patient(X))))&
(![X]:((kind(X)|~quiet(X))<=>(~brave(X)<~... | ~curious(mary) | [] | null | 0 |
Everyone who is both not wise and humble is funny or calm and vice versa.
Everyone who is not tall is both not patient and happy and vice versa.
Everyone who is not happy or generous is calm or not brave.
Everyone who is not strong or brave is curious or tall and vice versa.
If susan is rich or kind then lucy is either... | Susan is not rich. | entailment | (![X]:((~wise(X)&humble(X))<=>(funny(X)|calm(X))))&
(![X]:(~tall(X)<=>(~patient(X)&happy(X))))&
(![X]:((~happy(X)|generous(X))=>(calm(X)|~brave(X))))&
(![X]:((~strong(X)|brave(X))<=>(curious(X)|tall(X))))&
(((rich(susan)|kind(susan)))=>((rich(lucy)<~>old(lucy))))&
((?[X]:(curious(X)))<=>(patient(susan)))&
((?[X]:((rich... | ~rich(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1121151542961365971650097
% SZS output start Proof for 1121151542961365971650097
21. ~rich(susan) & ~happy(susan) [input p20]
24. rich(susan) [input hypothesis]
136. ~rich(susan) [cnf transformation 21]
140. rich(susan) [cnf transformation 24]
157. 4 <=> rich(susan) [avatar definition]
29... | 0 |
Everyone who is either not kind or quiet is either tall or not old.
If someone is quiet or calm then alice is both wise and not quiet.
If someone is not tall then someone is quiet or not calm.
If someone is not quiet then someone is kind or not calm.
Everyone who is not patient is generous and vice versa.
Everyone who ... | Fred is wise. | contradiction | (![X]:((~kind(X)<~>quiet(X))=>(tall(X)<~>~old(X))))&
((?[X]:((quiet(X)|calm(X))))=>((wise(alice)&~quiet(alice))))&
((?[X]:(~tall(X)))=>(?[X]:((quiet(X)|~calm(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((kind(X)|~calm(X)))))&
(![X]:(~patient(X)<=>generous(X)))&
(![X]:((strong(X)&~strong(X))<=>(wise(X)|brave(X))))&
((?[X]:((humb... | wise(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7779449561296164797621056
% SZS output start Proof for 7779449561296164797621056
6. ! [X0] : ((~strong(X0) & strong(X0)) <=> (brave(X0) | wise(X0))) [input p5]
23. wise(fred) [input hypothesis]
42. ! [X0] : (((~strong(X0) & strong(X0)) | (~brave(X0) & ~wise(X0))) & ((brave(X0) | wise(X0))... | 0 |
Everyone who is not humble or not wise is both calm and humble and vice versa.
Everyone who is not old is creative or not patient.
Everyone who is not old is both generous and not brave and vice versa.
Everyone who is old or not funny is either old or calm.
Everyone who is either rich or not tall is either patient or n... | Mary is wise. | entailment | (![X]:((~humble(X)|~wise(X))<=>(calm(X)&humble(X))))&
(![X]:(~old(X)=>(creative(X)|~patient(X))))&
(![X]:(~old(X)<=>(generous(X)&~brave(X))))&
(![X]:((old(X)|~funny(X))=>(old(X)<~>calm(X))))&
(![X]:((rich(X)<~>~tall(X))<=>(patient(X)<~>~brave(X))))&
(![X]:((funny(X)&rich(X))<=>(~calm(X)&~generous(X))))&
(![X]:((~calm(X... | wise(mary) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3006441783187230760385605
% SZS output start Proof for 3006441783187230760385605
1. ! [X0] : ((~wise(X0) | ~humble(X0)) <=> (humble(X0) & calm(X0))) [input p0]
12. ! [X0] : ((humble(X0) | ~brave(X0)) <=> wise(X0)) [input p11]
25. ~wise(mary) [input hypothesis]
40. ! [X0] : (((~wise(X0) | ... | 0 |
If someone is either old or funny then susan is either not rich or humble and vice versa. Everyone who is both rich and creative is not patient. If alice is both not quiet and not tall then someone is kind. If mary is wise or brave then paul is not brave. Everyone who is both kind and not tall is either not wise or hum... | Susan is not curious. | contradiction | ((?[X]:((old(X)<~>funny(X))))<=>((~rich(susan)<~>humble(susan))))&
(![X]:((rich(X)&creative(X))=>~patient(X)))&
(((~quiet(alice)&~tall(alice)))=>(?[X]:(kind(X))))&
(((wise(mary)|brave(mary)))=>(~brave(paul)))&
(![X]:((kind(X)&~tall(X))<=>(~wise(X)<~>humble(X))))&
(![X]:((~calm(X)&old(X))<=>(old(X)|curious(X))))&
(![X]:... | ~curious(susan) | [
"p1",
"p5",
"p6",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7517369525443535410639115
% SZS output start Proof for 7517369525443535410639115
2. ! [X0] : ((creative(X0) & rich(X0)) => ~patient(X0)) [input p1]
6. ! [X0] : ((old(X0) & ~calm(X0)) <=> (curious(X0) | old(X0))) [input p5]
7. ! [X0] : ((creative(X0) & ~old(X0)) <=> (kind(X0) & ~curious(X0... | 0 |
If someone is funny or not calm then someone is both not patient and not tall and vice versa. If someone is either brave or humble then someone is either not old or not quiet and vice versa. Everyone who is either old or calm is humble and vice versa. Everyone who is not creative is either curious or funny. Everyone wh... | Fred is creative. | contradiction | ((?[X]:((funny(X)|~calm(X))))<=>(?[X]:((~patient(X)&~tall(X)))))&
((?[X]:((brave(X)<~>humble(X))))<=>(?[X]:((~old(X)<~>~quiet(X)))))&
(![X]:((old(X)<~>calm(X))<=>humble(X)))&
(![X]:(~creative(X)=>(curious(X)<~>funny(X))))&
(![X]:((~generous(X)&old(X))=>(creative(X)|calm(X))))&
(![X]:((~strong(X)<~>quiet(X))<=>(calm(X)&... | creative(fred) | [
"p6",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8526814817278429320596473
% SZS output start Proof for 8526814817278429320596473
7. ? [X0] : humble(X0) => (~creative(fred) & kind(fred)) [input p6]
14. ! [X0] : (~humble(X0) <=> (kind(X0) & ~happy(X0))) [input p13]
20. strong(lucy) & ~kind(lucy) [input p19]
24. creative(fred) [input hypo... | 0 |
Everyone who is brave is creative or patient.
If susan is old then someone is both not kind and happy and vice versa.
If someone is tall then paul is not rich or not old.
If someone is not happy or funny then someone is both not creative and brave and vice versa.
Everyone who is either tall or not tall is generous or o... | Lucy is strong. | neutral | (![X]:(brave(X)=>(creative(X)|patient(X))))&
((old(susan))<=>(?[X]:((~kind(X)&happy(X)))))&
((?[X]:(tall(X)))=>((~rich(paul)|~old(paul))))&
((?[X]:((~happy(X)|funny(X))))<=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:((tall(X)<~>~tall(X))=>(generous(X)|old(X))))&
((?[X]:((~calm(X)<~>old(X))))=>((happy(john)|kind(john))))&... | strong(lucy) | [] | null | 0 |
If alice is both not rich and strong then someone is both curious and rich.
If john is not old then someone is both creative and wise.
Everyone who is both humble and calm is either humble or rich and vice versa.
Everyone who is tall is both patient and old.
Everyone who is not creative or creative is not quiet.
Everyo... | Lucy is happy. | entailment | (((~rich(alice)&strong(alice)))=>(?[X]:((curious(X)&rich(X)))))&
((~old(john))=>(?[X]:((creative(X)&wise(X)))))&
(![X]:((humble(X)&calm(X))<=>(humble(X)<~>rich(X))))&
(![X]:(tall(X)=>(patient(X)&old(X))))&
(![X]:((~creative(X)|creative(X))=>~quiet(X)))&
(![X]:(~strong(X)<=>(kind(X)&happy(X))))&
((?[X]:((~patient(X)<~>k... | happy(lucy) | [
"p2",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 989814047620150740466613
% SZS output start Proof for 989814047620150740466613
3. ! [X0] : ((calm(X0) & humble(X0)) <=> (humble(X0) <~> rich(X0))) [input p2]
10. ! [X0] : ((generous(X0) & rich(X0)) <=> ~happy(X0)) [input p9]
12. ! [X0] : ((funny(X0) & calm(X0)) <=> (~happy(X0) | ~brave(X0... | 0 |
If fred is both calm and not calm then someone is either kind or generous and vice versa.
Everyone who is either kind or happy is calm or kind and vice versa.
If someone is strong or old then someone is either not funny or strong.
Everyone who is strong or wise is patient and vice versa.
If someone is not rich or not g... | Mary is not calm. | entailment | (((calm(fred)&~calm(fred)))<=>(?[X]:((kind(X)<~>generous(X)))))&
(![X]:((kind(X)<~>happy(X))<=>(calm(X)|kind(X))))&
((?[X]:((strong(X)|old(X))))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((strong(X)|wise(X))<=>patient(X)))&
((?[X]:((~rich(X)|~generous(X))))=>(~old(alice)))&
((?[X]:((strong(X)|patient(X))))<=>((curious(... | ~calm(mary) | [
"p0",
"p4",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 608569109519521794945912
% SZS output start Proof for 608569109519521794945912
1. (~calm(fred) & calm(fred)) <=> ? [X0] : (kind(X0) <~> generous(X0)) [input p0]
5. ? [X0] : (~generous(X0) | ~rich(X0)) => ~old(alice) [input p4]
7. ! [X0] : ((~tall(X0) & ~calm(X0)) <=> (~kind(X0) <~> ~wise(... | 0 |
Everyone who is not wise or tall is wise and vice versa.
Everyone who is either not kind or not old is either quiet or not calm.
If lucy is not creative or kind then someone is either not rich or not old and vice versa.
If someone is kind then someone is not rich or tall and vice versa.
If someone is either not calm or... | Alice is tall. | entailment | (![X]:((~wise(X)|tall(X))<=>wise(X)))&
(![X]:((~kind(X)<~>~old(X))=>(quiet(X)<~>~calm(X))))&
(((~creative(lucy)|kind(lucy)))<=>(?[X]:((~rich(X)<~>~old(X)))))&
((?[X]:(kind(X)))<=>(?[X]:((~rich(X)|tall(X)))))&
((?[X]:((~calm(X)<~>~happy(X))))<=>((~brave(john)|~quiet(john))))&
(((~funny(john)<~>kind(john)))<=>((happy(sus... | tall(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 2003670922358084311721849
% SZS output start Proof for 2003670922358084311721849
1. ! [X0] : ((tall(X0) | ~wise(X0)) <=> wise(X0)) [input p0]
23. ~tall(alice) [input hypothesis]
29. ! [X0] : (((tall(X0) | ~wise(X0)) | ~wise(X0)) & (wise(X0) | (~tall(X0) & wise(X0)))) [nnf transformation 1... | 0 |
Everyone who is strong or not tall is both not calm and rich. Everyone who is not quiet or not humble is either old or quiet. Everyone who is not generous is funny. If susan is not creative then someone is not brave. Everyone who is calm or not humble is wise. If someone is kind then alice is either quiet or not kind. ... | Susan is generous. | neutral | (![X]:((strong(X)|~tall(X))=>(~calm(X)&rich(X))))&
(![X]:((~quiet(X)|~humble(X))=>(old(X)<~>quiet(X))))&
(![X]:(~generous(X)=>funny(X)))&
((~creative(susan))=>(?[X]:(~brave(X))))&
(![X]:((calm(X)|~humble(X))=>wise(X)))&
((?[X]:(kind(X)))=>((quiet(alice)<~>~kind(alice))))&
(![X]:(~old(X)=>~brave(X)))&
(![X]:((humble(X)|... | generous(susan) | [] | null | 0 |
If paul is calm or rich then john is either kind or not patient and vice versa. Everyone who is not creative or not quiet is not brave. If someone is not tall or not kind then someone is not kind or creative. If someone is not funny then fred is not kind or strong. If someone is both not patient and patient then someon... | Fred is not funny. | entailment | (((calm(paul)|rich(paul)))<=>((kind(john)<~>~patient(john))))&
(![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(... | ~funny(fred) | [
"p6",
"p7",
"p9",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8874704049467842311509806
% SZS output start Proof for 8874704049467842311509806
7. ! [X0] : (funny(X0) <=> (tall(X0) <~> rich(X0))) [input p6]
8. ! [X0] : ((~curious(X0) | brave(X0)) <=> ~patient(X0)) [input p7]
10. ? [X0] : tall(X0) <=> ? [X0] : (generous(X0) & ~quiet(X0)) [input p9]
13... | 0 |
Everyone who is either calm or curious is both not rich and not kind. Everyone who is generous is not rich and vice versa. If john is not creative then someone is either not generous or not patient and vice versa. Everyone who is both not strong and not wise is not rich and vice versa. Everyone who is either quiet or n... | Lucy is not humble. | entailment | (![X]:((calm(X)<~>curious(X))=>(~rich(X)&~kind(X))))&
(![X]:(generous(X)<=>~rich(X)))&
((~creative(john))<=>(?[X]:((~generous(X)<~>~patient(X)))))&
(![X]:((~strong(X)&~wise(X))<=>~rich(X)))&
(![X]:((quiet(X)<~>~kind(X))=>(~strong(X)|funny(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(calm(X)<~>generous(X))))&
((?[X]:((humble... | ~humble(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 149286580856203147384793
% SZS output start Proof for 149286580856203147384793
1. ! [X0] : ((calm(X0) <~> curious(X0)) => (~kind(X0) & ~rich(X0))) [input p0]
2. ! [X0] : (generous(X0) <=> ~rich(X0)) [input p1]
4. ! [X0] : ((~wise(X0) & ~strong(X0)) <=> ~rich(X0)) [input p3]
6. ! [X0] : ((... | 0 |
Everyone who is generous is either not curious or curious and vice versa.
Everyone who is either not curious or not patient is both calm and rich and vice versa.
If someone is either not curious or old then someone is both brave and not old.
If alice is not old then john is old.
If mary is not creative then someone is ... | Susan is patient. | contradiction | (![X]:(generous(X)<=>(~curious(X)<~>curious(X))))&
(![X]:((~curious(X)<~>~patient(X))<=>(calm(X)&rich(X))))&
((?[X]:((~curious(X)<~>old(X))))=>(?[X]:((brave(X)&~old(X)))))&
((~old(alice))=>(old(john)))&
((~creative(mary))=>(?[X]:((patient(X)<~>~curious(X)))))&
(![X]:(~curious(X)<=>~rich(X)))&
((?[X]:(~humble(X)))=>(?[X... | patient(susan) | [
"p1",
"p5",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 136622053425676286395455
% SZS output start Proof for 136622053425676286395455
2. ! [X0] : ((~curious(X0) <~> ~patient(X0)) <=> (rich(X0) & calm(X0))) [input p1]
6. ! [X0] : (~curious(X0) <=> ~rich(X0)) [input p5]
10. ! [X0] : (~brave(X0) <=> (~rich(X0) <~> ~quiet(X0))) [input p9]
11. ? [... | 0 |
If someone is both not generous and not strong then someone is either calm or happy.
Everyone who is not old is not kind or brave and vice versa.
Everyone who is either not quiet or patient is not happy and vice versa.
Everyone who is tall is tall or not quiet and vice versa.
If someone is either not brave or quiet the... | Paul is not funny. | neutral | ((?[X]:((~generous(X)&~strong(X))))=>(?[X]:((calm(X)<~>happy(X)))))&
(![X]:(~old(X)<=>(~kind(X)|brave(X))))&
(![X]:((~quiet(X)<~>patient(X))<=>~happy(X)))&
(![X]:(tall(X)<=>(tall(X)|~quiet(X))))&
((?[X]:((~brave(X)<~>quiet(X))))<=>((creative(alice)&~rich(alice))))&
(![X]:((~kind(X)&~humble(X))<=>~tall(X)))&
((?[X]:((qu... | ~funny(paul) | [] | null | 0 |
If paul is rich then someone is not rich and vice versa.
Everyone who is not tall is not rich and vice versa.
Everyone who is both not humble and not rich is brave and vice versa.
If someone is both not old and strong then someone is either humble or happy and vice versa.
If alice is tall or not wise then someone is ei... | Alice is old. | contradiction | ((rich(paul))<=>(?[X]:(~rich(X))))&
(![X]:(~tall(X)<=>~rich(X)))&
(![X]:((~humble(X)&~rich(X))<=>brave(X)))&
((?[X]:((~old(X)&strong(X))))<=>(?[X]:((humble(X)<~>happy(X)))))&
(((tall(alice)|~wise(alice)))=>(?[X]:((~funny(X)<~>curious(X)))))&
(((~curious(alice)&~generous(alice)))=>(?[X]:((calm(X)|strong(X)))))&
(![X]:((... | old(alice) | [
"p0",
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3683893766838695629895132
% SZS output start Proof for 3683893766838695629895132
1. rich(paul) <=> ? [X0] : ~rich(X0) [input p0]
2. ! [X0] : (~tall(X0) <=> ~rich(X0)) [input p1]
13. ? [X0] : ~tall(X0) => (~old(alice) & ~quiet(alice)) [input p12]
25. old(alice) [input hypothesis]
34. (~old... | 0 |
If mary is not old or not calm then lucy is either rich or tall and vice versa.
If someone is either not happy or patient then someone is both wise and funny.
Everyone who is brave or not patient is either quiet or not rich.
Everyone who is either old or creative is rich.
Everyone who is both rich and not patient is bo... | John is funny. | contradiction | (((~old(mary)|~calm(mary)))<=>((rich(lucy)<~>tall(lucy))))&
((?[X]:((~happy(X)<~>patient(X))))=>(?[X]:((wise(X)&funny(X)))))&
(![X]:((brave(X)|~patient(X))=>(quiet(X)<~>~rich(X))))&
(![X]:((old(X)<~>creative(X))=>rich(X)))&
(![X]:((rich(X)&~patient(X))<=>(~patient(X)&~tall(X))))&
((funny(paul))=>(~humble(john)))&
(![X]... | funny(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3723292683459615603515963
% SZS output start Proof for 3723292683459615603515963
7. ! [X0] : ((~wise(X0) | funny(X0)) <=> ~funny(X0)) [input p6]
24. funny(john) [input hypothesis]
45. ! [X0] : (((~wise(X0) | funny(X0)) | funny(X0)) & (~funny(X0) | (wise(X0) & ~funny(X0)))) [nnf transforma... | 0 |
If someone is not humble then someone is not happy or happy and vice versa. Everyone who is either not old or rich is not kind or curious. If someone is not old or quiet then someone is both not quiet and rich and vice versa. If someone is not wise or strong then someone is both rich and not brave. If someone is both n... | Lucy is not quiet. | neutral | ((?[X]:(~humble(X)))<=>(?[X]:((~happy(X)|happy(X)))))&
(![X]:((~old(X)<~>rich(X))=>(~kind(X)|curious(X))))&
((?[X]:((~old(X)|quiet(X))))<=>(?[X]:((~quiet(X)&rich(X)))))&
((?[X]:((~wise(X)|strong(X))))=>(?[X]:((rich(X)&~brave(X)))))&
((?[X]:((~humble(X)&creative(X))))=>(?[X]:((brave(X)&~generous(X)))))&
(((~kind(fred)<~... | ~quiet(lucy) | [] | null | 0 |
Everyone who is both not kind and not strong is calm or not calm.
If susan is not humble or not patient then someone is old or not calm and vice versa.
If lucy is either creative or calm then lucy is both not wise and not funny and vice versa.
If someone is both strong and not brave then john is either strong or old an... | John is not patient. | neutral | (![X]:((~kind(X)&~strong(X))=>(calm(X)|~calm(X))))&
(((~humble(susan)|~patient(susan)))<=>(?[X]:((old(X)|~calm(X)))))&
(((creative(lucy)<~>calm(lucy)))<=>((~wise(lucy)&~funny(lucy))))&
((?[X]:((strong(X)&~brave(X))))<=>((strong(john)<~>old(john))))&
(![X]:((~calm(X)<~>~curious(X))=>(quiet(X)<~>curious(X))))&
(((~brave(... | ~patient(john) | [] | null | 0 |
Everyone who is not funny or not brave is either not quiet or not curious. Everyone who is either not patient or not creative is both brave and creative and vice versa. If mary is both not old and not funny then mary is not calm and vice versa. Everyone who is both not humble and old is kind. If someone is strong or no... | John is calm. | entailment | (![X]:((~funny(X)|~brave(X))=>(~quiet(X)<~>~curious(X))))&
(![X]:((~patient(X)<~>~creative(X))<=>(brave(X)&creative(X))))&
(((~old(mary)&~funny(mary)))<=>(~calm(mary)))&
(![X]:((~humble(X)&old(X))=>kind(X)))&
((?[X]:((strong(X)|~rich(X))))=>(?[X]:((wise(X)<~>quiet(X)))))&
(((kind(mary)&~funny(mary)))=>(?[X]:((~creative... | calm(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6222008328259985355804899
% SZS output start Proof for 6222008328259985355804899
8. ! [X0] : (creative(X0) <=> (~calm(X0) <~> creative(X0))) [input p7]
23. ~calm(john) [input hypothesis]
49. ! [X0] : ((creative(X0) | ((~calm(X0) | ~creative(X0)) & (creative(X0) | calm(X0)))) & (((~creativ... | 0 |
Everyone who is either not funny or not rich is not tall.
Everyone who is both not tall and not funny is not wise.
If someone is either funny or old then someone is both not old and strong and vice versa.
If john is strong then someone is either not brave or wise.
Everyone who is rich or generous is not old or happy an... | Mary is calm. | contradiction | (![X]:((~funny(X)<~>~rich(X))=>~tall(X)))&
(![X]:((~tall(X)&~funny(X))=>~wise(X)))&
((?[X]:((funny(X)<~>old(X))))<=>(?[X]:((~old(X)&strong(X)))))&
((strong(john))=>(?[X]:((~brave(X)<~>wise(X)))))&
(![X]:((rich(X)|generous(X))<=>(~old(X)|happy(X))))&
(![X]:((patient(X)&calm(X))<=>(~patient(X)&wise(X))))&
((?[X]:((rich(X... | calm(mary) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4408824072366286313787915
% SZS output start Proof for 4408824072366286313787915
6. ! [X0] : ((calm(X0) & patient(X0)) <=> (wise(X0) & ~patient(X0))) [input p5]
14. ! [X0] : ((wise(X0) & ~wise(X0)) <=> (~patient(X0) <~> wise(X0))) [input p13]
25. calm(mary) [input hypothesis]
49. ! [X0] :... | 0 |
If alice is both kind and not rich then someone is not wise or quiet.
Everyone who is either funny or not kind is not rich or not old and vice versa.
Everyone who is not calm or calm is not rich or not quiet.
If someone is generous then someone is not kind and vice versa.
If alice is both curious and calm then someone ... | Mary is not calm. | entailment | (((kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)|quiet(X)))))&
(![X]:((funny(X)<~>~kind(X))<=>(~rich(X)|~old(X))))&
(![X]:((~calm(X)|calm(X))=>(~rich(X)|~quiet(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~kind(X))))&
(((curious(alice)&calm(alice)))<=>(?[X]:(~tall(X))))&
(![X]:(~curious(X)=>(strong(X)<~>creative(X))))&
(((~hap... | ~calm(mary) | [
"p1",
"p4",
"p8",
"p10",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7388184821926986038355021
% SZS output start Proof for 7388184821926986038355021
2. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~old(X0) | ~rich(X0))) [input p1]
5. (calm(alice) & curious(alice)) <=> ? [X0] : ~tall(X0) [input p4]
9. ? [X0] : calm(X0) <=> ? [X0] : (~humble(X0) & ~tall(X0)) [i... | 0 |
If john is both rich and calm then someone is funny or not calm.
If someone is either not tall or not patient then fred is both kind and not patient.
If fred is not generous or not curious then fred is either not humble or humble and vice versa.
Everyone who is not happy or patient is patient or strong.
If lucy is eith... | Lucy is brave. | entailment | (((rich(john)&calm(john)))=>(?[X]:((funny(X)|~calm(X)))))&
((?[X]:((~tall(X)<~>~patient(X))))=>((kind(fred)&~patient(fred))))&
(((~generous(fred)|~curious(fred)))<=>((~humble(fred)<~>humble(fred))))&
(![X]:((~happy(X)|patient(X))=>(patient(X)|strong(X))))&
(((happy(lucy)<~>generous(lucy)))=>(?[X]:((~quiet(X)<~>~curious... | brave(lucy) | [
"p3",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2069091732222612243983177
% SZS output start Proof for 2069091732222612243983177
4. ! [X0] : ((patient(X0) | ~happy(X0)) => (strong(X0) | patient(X0))) [input p3]
9. ! [X0] : (happy(X0) <=> (strong(X0) | patient(X0))) [input p8]
11. ! [X0] : (brave(X0) <=> (humble(X0) | happy(X0))) [input... | 0 |
Everyone who is either generous or curious is wise.
If paul is either brave or not brave then someone is not wise or old.
If someone is not curious or quiet then alice is either humble or not kind and vice versa.
If someone is not happy then someone is humble.
If someone is not tall or not brave then someone is both no... | Mary is humble. | entailment | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(((brave(paul)<~>~brave(paul)))=>(?[X]:((~wise(X)|old(X)))))&
((?[X]:((~curious(X)|quiet(X))))<=>((humble(alice)<~>~kind(alice))))&
((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((~tall(X)|~brave(X))))<=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((creative(X)|wise(X))=>quiet(X... | humble(mary) | [
"p4",
"p5",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 32026489808986367288481
% SZS output start Proof for 32026489808986367288481
5. ? [X0] : (~brave(X0) | ~tall(X0)) <=> ? [X0] : (wise(X0) & ~tall(X0)) [input p4]
6. ! [X0] : ((wise(X0) | creative(X0)) => quiet(X0)) [input p5]
8. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~brave(X0) & ~patien... | 0 |
If fred is not generous or funny then someone is not quiet or not creative. Everyone who is not patient or old is brave or quiet and vice versa. If lucy is not old then fred is not creative. If someone is either old or not wise then alice is both calm and not humble. Everyone who is not tall or quiet is both creative a... | Mary is funny. | contradiction | (((~generous(fred)|funny(fred)))=>(?[X]:((~quiet(X)|~creative(X)))))&
(![X]:((~patient(X)|old(X))<=>(brave(X)|quiet(X))))&
((~old(lucy))=>(~creative(fred)))&
((?[X]:((old(X)<~>~wise(X))))=>((calm(alice)&~humble(alice))))&
(![X]:((~tall(X)|quiet(X))=>(creative(X)&~brave(X))))&
(![X]:((quiet(X)<~>~creative(X))=>(quiet(X)... | funny(mary) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8131834208361557794236597
% SZS output start Proof for 8131834208361557794236597
14. (~brave(mary) & ~kind(mary)) <=> (~humble(mary) <~> humble(mary)) [input p13]
16. ? [X0] : (~brave(X0) | ~kind(X0)) => ~funny(mary) [input p15]
25. funny(mary) [input hypothesis]
40. ~funny(mary) | ! [X0]... | 0 |
Everyone who is either not rich or not generous is creative or not rich and vice versa.
Everyone who is quiet or patient is not calm and vice versa.
If paul is brave then fred is both not tall and generous and vice versa.
If someone is tall or wise then john is both calm and not calm and vice versa.
Everyone who is cur... | Susan is not rich. | neutral | (![X]:((~rich(X)<~>~generous(X))<=>(creative(X)|~rich(X))))&
(![X]:((quiet(X)|patient(X))<=>~calm(X)))&
((brave(paul))<=>((~tall(fred)&generous(fred))))&
((?[X]:((tall(X)|wise(X))))<=>((calm(john)&~calm(john))))&
(![X]:(curious(X)<=>(~old(X)<~>~wise(X))))&
(((happy(john)<~>calm(john)))<=>((brave(susan)<~>kind(susan))))... | ~rich(susan) | [] | null | 0 |
Everyone who is not kind or generous is either not quiet or happy and vice versa.
If someone is either not patient or old then someone is either not creative or wise.
Everyone who is not tall is creative and vice versa.
Everyone who is calm is not strong or not curious.
Everyone who is not quiet is either brave or pati... | Alice is generous. | entailment | (![X]:((~kind(X)|generous(X))<=>(~quiet(X)<~>happy(X))))&
((?[X]:((~patient(X)<~>old(X))))=>(?[X]:((~creative(X)<~>wise(X)))))&
(![X]:(~tall(X)<=>creative(X)))&
(![X]:(calm(X)=>(~strong(X)|~curious(X))))&
(![X]:(~quiet(X)=>(brave(X)<~>patient(X))))&
(((rich(fred)|patient(fred)))<=>(?[X]:((kind(X)&~brave(X)))))&
(![X]:(... | generous(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1821801787993045488113747
% SZS output start Proof for 1821801787993045488113747
14. ! [X0] : ((~generous(X0) <~> rich(X0)) <=> rich(X0)) [input p13]
22. ~generous(alice) [input hypothesis]
62. ! [X0] : ((((~rich(X0) | generous(X0)) & (rich(X0) | ~generous(X0))) | ~rich(X0)) & (rich(X0) |... | 0 |
If someone is funny then someone is both not brave and not calm.
If lucy is generous or strong then someone is either rich or not curious and vice versa.
If someone is not tall or not brave then fred is strong.
If someone is both not old and not rich then someone is not quiet or generous.
If mary is not humble then som... | Fred is old. | contradiction | ((?[X]:(funny(X)))=>(?[X]:((~brave(X)&~calm(X)))))&
(((generous(lucy)|strong(lucy)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
((?[X]:((~tall(X)|~brave(X))))=>(strong(fred)))&
((?[X]:((~old(X)&~rich(X))))=>(?[X]:((~quiet(X)|generous(X)))))&
((~humble(mary))<=>(?[X]:(~patient(X))))&
((~curious(susan))<=>((~quiet(mary)&~creat... | old(fred) | [
"p0",
"p6",
"p7",
"p8",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 246930041785788938612593
% SZS output start Proof for 246930041785788938612593
1. ? [X0] : funny(X0) => ? [X0] : (~calm(X0) & ~brave(X0)) [input p0]
7. ! [X0] : (humble(X0) <=> (generous(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((~quiet(X0) & ~wise(X0)) <=> (brave(X0) <~> patient(X0))) [i... | 0 |
If someone is funny or kind then someone is either not wise or humble and vice versa. Everyone who is happy is not old and vice versa. Everyone who is not happy is both generous and calm. Everyone who is old or rich is kind. Everyone who is funny is not creative or not kind. Everyone who is not humble or old is rich or... | Lucy is funny. | neutral | ((?[X]:((funny(X)|kind(X))))<=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(happy(X)<=>~old(X)))&
(![X]:(~happy(X)=>(generous(X)&calm(X))))&
(![X]:((old(X)|rich(X))=>kind(X)))&
(![X]:(funny(X)=>(~creative(X)|~kind(X))))&
(![X]:((~humble(X)|old(X))=>(rich(X)|~curious(X))))&
((curious(lucy))=>((strong(fred)<~>creative(fred))... | funny(lucy) | [] | null | 0 |
If someone is not curious or not calm then paul is not old and vice versa. Everyone who is either tall or not rich is humble and vice versa. Everyone who is not humble is creative. If paul is wise then paul is not wise. Everyone who is both rich and not rich is humble or rich. Everyone who is either not patient or not ... | Fred is not kind. | entailment | ((?[X]:((~curious(X)|~calm(X))))<=>(~old(paul)))&
(![X]:((tall(X)<~>~rich(X))<=>humble(X)))&
(![X]:(~humble(X)=>creative(X)))&
((wise(paul))=>(~wise(paul)))&
(![X]:((rich(X)&~rich(X))=>(humble(X)|rich(X))))&
(![X]:((~patient(X)<~>~strong(X))<=>generous(X)))&
(![X]:(curious(X)<=>(~curious(X)<~>~kind(X))))&
(![X]:((~calm... | ~kind(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5137803985820193285457274
% SZS output start Proof for 5137803985820193285457274
7. ! [X0] : (curious(X0) <=> (~curious(X0) <~> ~kind(X0))) [input p6]
24. kind(fred) [input hypothesis]
44. ! [X0] : ((curious(X0) | ((~curious(X0) | kind(X0)) & (~kind(X0) | curious(X0)))) & (((kind(X0) | cu... | 0 |
Everyone who is old is not patient and vice versa.
Everyone who is not tall or not humble is not old or not generous.
Everyone who is either curious or patient is not happy and vice versa.
Everyone who is humble is either patient or not happy.
Everyone who is not humble is not patient.
If paul is either not calm or not... | Paul is wise. | neutral | (![X]:(old(X)<=>~patient(X)))&
(![X]:((~tall(X)|~humble(X))=>(~old(X)|~generous(X))))&
(![X]:((curious(X)<~>patient(X))<=>~happy(X)))&
(![X]:(humble(X)=>(patient(X)<~>~happy(X))))&
(![X]:(~humble(X)=>~patient(X)))&
(((~calm(paul)<~>~old(paul)))=>(?[X]:((funny(X)|~humble(X)))))&
(![X]:((~rich(X)|patient(X))<=>patient(X)... | wise(paul) | [] | null | 0 |
Everyone who is not calm or not strong is both old and wise and vice versa.
If john is not happy or kind then someone is either not tall or not rich.
Everyone who is not kind or curious is either rich or not kind.
Everyone who is not patient or not quiet is not rich or not funny and vice versa.
Everyone who is brave is... | Fred is not patient. | entailment | (![X]:((~calm(X)|~strong(X))<=>(old(X)&wise(X))))&
(((~happy(john)|kind(john)))=>(?[X]:((~tall(X)<~>~rich(X)))))&
(![X]:((~kind(X)|curious(X))=>(rich(X)<~>~kind(X))))&
(![X]:((~patient(X)|~quiet(X))<=>(~rich(X)|~funny(X))))&
(![X]:(brave(X)<=>(rich(X)|quiet(X))))&
(((~curious(alice)<~>~patient(alice)))=>(?[X]:(calm(X))... | ~patient(fred) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 824202642789764930882160
% SZS output start Proof for 824202642789764930882160
13. ! [X0] : (~patient(X0) <=> creative(X0)) [input p12]
18. ~funny(fred) & creative(fred) [input p17]
25. patient(fred) [input hypothesis]
60. ! [X0] : ((~patient(X0) | ~creative(X0)) & (creative(X0) | patient... | 0 |
Everyone who is calm or curious is both not kind and calm and vice versa.
If fred is both not wise and wise then someone is either not humble or not calm and vice versa.
Everyone who is happy is either funny or not patient and vice versa.
Everyone who is not calm is both kind and patient.
Everyone who is both wise and ... | Lucy is funny. | contradiction | (![X]:((calm(X)|curious(X))<=>(~kind(X)&calm(X))))&
(((~wise(fred)&wise(fred)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(![X]:(happy(X)<=>(funny(X)<~>~patient(X))))&
(![X]:(~calm(X)=>(kind(X)&patient(X))))&
(![X]:((wise(X)&~generous(X))<=>tall(X)))&
(![X]:((~funny(X)<~>~patient(X))<=>(old(X)<~>~rich(X))))&
((?[X]:((~creat... | funny(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1302891727705028258203777
% SZS output start Proof for 1302891727705028258203777
21. ~strong(lucy) & ~funny(lucy) [input p20]
23. funny(lucy) [input hypothesis]
28. ~funny(lucy) [pure predicate removal 21]
142. ~funny(lucy) [cnf transformation 28]
144. funny(lucy) [cnf transformation 23]
... | 0 |
Everyone who is either not quiet or kind is both not humble and not happy. Everyone who is rich or kind is not generous or funny and vice versa. If someone is either not creative or funny then mary is both not quiet and not curious. If susan is kind or not old then lucy is wise or not curious. Everyone who is not calm ... | John is curious. | neutral | (![X]:((~quiet(X)<~>kind(X))=>(~humble(X)&~happy(X))))&
(![X]:((rich(X)|kind(X))<=>(~generous(X)|funny(X))))&
((?[X]:((~creative(X)<~>funny(X))))=>((~quiet(mary)&~curious(mary))))&
(((kind(susan)|~old(susan)))=>((wise(lucy)|~curious(lucy))))&
(![X]:((~calm(X)|brave(X))<=>(funny(X)&rich(X))))&
(![X]:((happy(X)|~happy(X)... | curious(john) | [] | null | 0 |
Everyone who is both old and curious is not kind or not happy and vice versa.
If paul is either strong or calm then someone is both brave and generous.
If someone is both not humble and quiet then susan is kind and vice versa.
Everyone who is not calm or not kind is not brave.
Everyone who is both tall and not rich is ... | Fred is not funny. | entailment | (![X]:((old(X)&curious(X))<=>(~kind(X)|~happy(X))))&
(((strong(paul)<~>calm(paul)))=>(?[X]:((brave(X)&generous(X)))))&
((?[X]:((~humble(X)&quiet(X))))<=>(kind(susan)))&
(![X]:((~calm(X)|~kind(X))=>~brave(X)))&
(![X]:((tall(X)&~rich(X))<=>(humble(X)<~>~old(X))))&
((~humble(alice))<=>(?[X]:(~curious(X))))&
(![X]:((humble... | ~funny(fred) | [
"p0",
"p10",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2050102220595160139882218
% SZS output start Proof for 2050102220595160139882218
1. ! [X0] : ((curious(X0) & old(X0)) <=> (~happy(X0) | ~kind(X0))) [input p0]
11. ! [X0] : ((~happy(X0) & funny(X0)) <=> (strong(X0) & calm(X0))) [input p10]
12. ! [X0] : (funny(X0) <=> (~creative(X0) & wise(... | 0 |
Everyone who is both wise and not generous is both not wise and calm and vice versa.
Everyone who is both happy and brave is either not brave or rich and vice versa.
Everyone who is calm is not happy or creative and vice versa.
Everyone who is both not calm and brave is not rich or quiet and vice versa.
Everyone who is... | Mary is rich. | entailment | (![X]:((wise(X)&~generous(X))<=>(~wise(X)&calm(X))))&
(![X]:((happy(X)&brave(X))<=>(~brave(X)<~>rich(X))))&
(![X]:(calm(X)<=>(~happy(X)|creative(X))))&
(![X]:((~calm(X)&brave(X))<=>(~rich(X)|quiet(X))))&
(![X]:((strong(X)&happy(X))=>(calm(X)|curious(X))))&
((?[X]:(~happy(X)))<=>((~funny(lucy)|calm(lucy))))&
(![X]:((~pa... | rich(mary) | [
"p2",
"p3",
"p6",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3330451108568358766314106
% SZS output start Proof for 3330451108568358766314106
3. ! [X0] : (calm(X0) <=> (creative(X0) | ~happy(X0))) [input p2]
4. ! [X0] : ((brave(X0) & ~calm(X0)) <=> (quiet(X0) | ~rich(X0))) [input p3]
7. ! [X0] : ((wise(X0) & ~patient(X0)) <=> ~rich(X0)) [input p6]
... | 0 |
If someone is both not happy and not kind then someone is rich and vice versa.
If someone is happy or old then john is funny or tall.
If someone is happy or strong then john is funny or humble.
If someone is both happy and curious then paul is curious and vice versa.
Everyone who is either brave or not strong is strong... | Paul is strong. | entailment | ((?[X]:((~happy(X)&~kind(X))))<=>(?[X]:(rich(X))))&
((?[X]:((happy(X)|old(X))))=>((funny(john)|tall(john))))&
((?[X]:((happy(X)|strong(X))))=>((funny(john)|humble(john))))&
((?[X]:((happy(X)&curious(X))))<=>(curious(paul)))&
(![X]:((brave(X)<~>~strong(X))=>(strong(X)|~humble(X))))&
(![X]:((happy(X)<~>~quiet(X))=>(happy... | strong(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1638264558380699633954376
% SZS output start Proof for 1638264558380699633954376
15. ! [X0] : ((~tall(X0) & strong(X0)) <=> (~strong(X0) | strong(X0))) [input p14]
21. ~strong(paul) [input hypothesis]
62. ! [X0] : (((~tall(X0) & strong(X0)) | (strong(X0) & ~strong(X0))) & ((~strong(X0) | ... | 0 |
Everyone who is not tall or quiet is not funny or wise.
Everyone who is either happy or not humble is generous or strong and vice versa.
If lucy is either not generous or not happy then someone is funny and vice versa.
Everyone who is generous or not rich is not brave or happy and vice versa.
Everyone who is both funny... | Lucy is brave. | neutral | (![X]:((~tall(X)|quiet(X))=>(~funny(X)|wise(X))))&
(![X]:((happy(X)<~>~humble(X))<=>(generous(X)|strong(X))))&
(((~generous(lucy)<~>~happy(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((generous(X)|~rich(X))<=>(~brave(X)|happy(X))))&
(![X]:((funny(X)&~tall(X))<=>(generous(X)&strong(X))))&
(![X]:((~calm(X)<~>~generous(X))=>(~kin... | brave(lucy) | [] | null | 0 |
Everyone who is either not wise or wise is not brave or not patient.
If someone is humble then john is both strong and not curious and vice versa.
If fred is patient or not creative then someone is not rich or patient.
Everyone who is both not kind and not quiet is both not generous and creative and vice versa.
Everyon... | John is curious. | contradiction | (![X]:((~wise(X)<~>wise(X))=>(~brave(X)|~patient(X))))&
((?[X]:(humble(X)))<=>((strong(john)&~curious(john))))&
(((patient(fred)|~creative(fred)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((~kind(X)&~quiet(X))<=>(~generous(X)&creative(X))))&
(![X]:(~curious(X)<=>~generous(X)))&
(((generous(lucy)|~rich(lucy)))<=>((~gener... | curious(john) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8936267153028029009826609
% SZS output start Proof for 8936267153028029009826609
2. ? [X0] : humble(X0) <=> (~curious(john) & strong(john)) [input p1]
15. ! [X0] : (curious(X0) => (~tall(X0) & humble(X0))) [input p14]
24. curious(john) [input hypothesis]
35. ! [X0] : ((~tall(X0) & humble(... | 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 either not tall or not wise is either patient or tall and vice versa.
Everyone who is rich or curious is happy.
Everyone who is patient is either happy or creative and vice versa... | Susan is patient. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(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(X))=>(~curious(X)<~>~wise(X))))&
(![X]:(wise(X)<=>(ha... | patient(susan) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 287966822911435048301585
% SZS output start Proof for 287966822911435048301585
1. ! [X0] : ((~curious(X0) <~> generous(X0)) <=> humble(X0)) [input p0]
3. ! [X0] : ((~tall(X0) <~> ~wise(X0)) <=> (patient(X0) <~> tall(X0))) [input p2]
4. ! [X0] : ((curious(X0) | rich(X0)) => happy(X0)) [inp... | 0 |
If someone is both calm and brave then someone is both calm and not brave and vice versa. If lucy is curious then mary is both generous and curious. If mary is not curious or rich then someone is both not brave and old. If susan is not curious then someone is both not happy and generous and vice versa. If someone is ei... | Susan is generous. | entailment | ((?[X]:((calm(X)&brave(X))))<=>(?[X]:((calm(X)&~brave(X)))))&
((curious(lucy))=>((generous(mary)&curious(mary))))&
(((~curious(mary)|rich(mary)))=>(?[X]:((~brave(X)&old(X)))))&
((~curious(susan))<=>(?[X]:((~happy(X)&generous(X)))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((~quiet(X)&~funny(X)))))&
(![X]:((~curious(X... | generous(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3566158129436364627568330
% SZS output start Proof for 3566158129436364627568330
15. ! [X0] : ((~generous(X0) | ~curious(X0)) => generous(X0)) [input p14]
25. ~generous(susan) [input hypothesis]
37. ! [X0] : (generous(X0) | (generous(X0) & curious(X0))) [ennf transformation 15]
133. gener... | 0 |
If alice is not funny or not curious then someone is both kind and strong. Everyone who is brave is not patient. If someone is either tall or brave then alice is not tall or patient and vice versa. Everyone who is rich or tall is funny or not quiet and vice versa. Everyone who is both not patient and rich is curious or... | Alice is not brave. | entailment | (((~funny(alice)|~curious(alice)))=>(?[X]:((kind(X)&strong(X)))))&
(![X]:(brave(X)=>~patient(X)))&
((?[X]:((tall(X)<~>brave(X))))<=>((~tall(alice)|patient(alice))))&
(![X]:((rich(X)|tall(X))<=>(funny(X)|~quiet(X))))&
(![X]:((~patient(X)&rich(X))<=>(curious(X)|quiet(X))))&
((?[X]:((~generous(X)&~quiet(X))))=>(?[X]:((tal... | ~brave(alice) | [
"p4",
"p6",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6791595766648835477197942
% SZS output start Proof for 6791595766648835477197942
5. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (quiet(X0) | curious(X0))) [input p4]
7. ? [X0] : (old(X0) <~> ~patient(X0)) <=> (rich(alice) <~> brave(alice)) [input p6]
13. ! [X0] : (patient(X0) <=> (creative(X0... | 0 |
Everyone who is humble is not brave or happy and vice versa.
Everyone who is not strong is either calm or kind.
If alice is not curious or rich then someone is either generous or not brave and vice versa.
If someone is both not brave and not funny then someone is not kind and vice versa.
Everyone who is not wise or bra... | Susan is not strong. | entailment | (![X]:(humble(X)<=>(~brave(X)|happy(X))))&
(![X]:(~strong(X)=>(calm(X)<~>kind(X))))&
(((~curious(alice)|rich(alice)))<=>(?[X]:((generous(X)<~>~brave(X)))))&
((?[X]:((~brave(X)&~funny(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~wise(X)|brave(X))=>(quiet(X)|~funny(X))))&
(![X]:((~curious(X)&brave(X))<=>(~patient(X)|~calm(X))))&... | ~strong(susan) | [
"p4",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8340433298399520204857461
% SZS output start Proof for 8340433298399520204857461
5. ! [X0] : ((brave(X0) | ~wise(X0)) => (~funny(X0) | quiet(X0))) [input p4]
9. ! [X0] : ((calm(X0) | strong(X0)) => (funny(X0) & humble(X0))) [input p8]
12. ! [X0] : ((quiet(X0) & humble(X0)) <=> (~humble(X0... | 0 |
Everyone who is patient or not creative is kind or creative and vice versa.
If alice is not calm or curious then someone is not curious or not old and vice versa.
Everyone who is humble is either not tall or not old.
If someone is not old then someone is either not brave or quiet and vice versa.
Everyone who is old is ... | Fred is creative. | contradiction | (![X]:((patient(X)|~creative(X))<=>(kind(X)|creative(X))))&
(((~calm(alice)|curious(alice)))<=>(?[X]:((~curious(X)|~old(X)))))&
(![X]:(humble(X)=>(~tall(X)<~>~old(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:(old(X)<=>(wise(X)&~rich(X))))&
(![X]:((patient(X)|old(X))=>(quiet(X)&~kind(X))))&
(![X]:(... | creative(fred) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1259944148951996892231212
% SZS output start Proof for 1259944148951996892231212
20. ~creative(fred) [input p19]
23. creative(fred) [input hypothesis]
129. ~creative(fred) [cnf transformation 20]
133. creative(fred) [cnf transformation 23]
232. 18 <=> creative(fred) [avatar definition]
23... | 0 |
If someone is kind or not funny then someone is both old and not rich and vice versa.
If someone is quiet or strong then someone is tall or humble.
If someone is both not calm and not generous then mary is either not wise or not humble.
If someone is not brave then paul is not rich and vice versa.
If someone is both ge... | Mary is not kind. | contradiction | ((?[X]:((kind(X)|~funny(X))))<=>(?[X]:((old(X)&~rich(X)))))&
((?[X]:((quiet(X)|strong(X))))=>(?[X]:((tall(X)|humble(X)))))&
((?[X]:((~calm(X)&~generous(X))))=>((~wise(mary)<~>~humble(mary))))&
((?[X]:(~brave(X)))<=>(~rich(paul)))&
((?[X]:((generous(X)&~curious(X))))<=>((humble(paul)&~calm(paul))))&
(![X]:(wise(X)<=>(~h... | ~kind(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2661632375354433112362901
% SZS output start Proof for 2661632375354433112362901
17. kind(mary) & strong(mary) [input p16]
25. ~kind(mary) [input hypothesis]
135. kind(mary) [cnf transformation 17]
146. ~kind(mary) [cnf transformation 25]
250. 25 <=> kind(mary) [avatar definition]
288. 25... | 0 |
If someone is humble or kind then someone is both quiet and not old and vice versa. If someone is either not brave or not quiet then someone is not generous. Everyone who is both not funny and not brave is calm and vice versa. Everyone who is brave or old is both not rich and curious and vice versa. If mary is wise or ... | Susan is not wise. | contradiction | ((?[X]:((humble(X)|kind(X))))<=>(?[X]:((quiet(X)&~old(X)))))&
((?[X]:((~brave(X)<~>~quiet(X))))=>(?[X]:(~generous(X))))&
(![X]:((~funny(X)&~brave(X))<=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)&curious(X))))&
(((wise(mary)|~happy(mary)))=>(?[X]:((curious(X)|kind(X)))))&
((?[X]:((~patient(X)<~>quiet(X))))<=>(?[X]:... | ~wise(susan) | [
"p8",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 224539890922449754089869
% SZS output start Proof for 224539890922449754089869
9. ! [X0] : ((~tall(X0) & old(X0)) <=> (~quiet(X0) | ~humble(X0))) [input p8]
11. (wise(susan) & ~rich(susan)) <=> ? [X0] : (quiet(X0) & tall(X0)) [input p10]
16. ! [X0] : ((calm(X0) | kind(X0)) => (tall(X0) <~... | 0 |
Everyone who is funny is either not happy or old and vice versa.
Everyone who is not rich or tall is not creative or old and vice versa.
Everyone who is wise is strong.
Everyone who is tall or kind is not generous or not tall.
If someone is happy or not tall then alice is calm and vice versa.
Everyone who is either not... | Paul is not humble. | entailment | (![X]:(funny(X)<=>(~happy(X)<~>old(X))))&
(![X]:((~rich(X)|tall(X))<=>(~creative(X)|old(X))))&
(![X]:(wise(X)=>strong(X)))&
(![X]:((tall(X)|kind(X))=>(~generous(X)|~tall(X))))&
((?[X]:((happy(X)|~tall(X))))<=>(calm(alice)))&
(![X]:((~humble(X)<~>creative(X))=>(~curious(X)&~creative(X))))&
((~brave(fred))<=>(?[X]:((~str... | ~humble(paul) | [
"p0",
"p5",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4268134667993823324469182
% SZS output start Proof for 4268134667993823324469182
1. ! [X0] : (funny(X0) <=> (~happy(X0) <~> old(X0))) [input p0]
6. ! [X0] : ((~humble(X0) <~> creative(X0)) => (~creative(X0) & ~curious(X0))) [input p5]
9. ! [X0] : ((~patient(X0) | humble(X0)) <=> (~funny(X... | 0 |
Everyone who is not happy or old is both not funny and not quiet.
Everyone who is both humble and curious is both not generous and calm and vice versa.
Everyone who is both not brave and not tall is either brave or not creative and vice versa.
Everyone who is not tall is either rich or not curious.
If someone is either... | John is humble. | neutral | (![X]:((~happy(X)|old(X))=>(~funny(X)&~quiet(X))))&
(![X]:((humble(X)&curious(X))<=>(~generous(X)&calm(X))))&
(![X]:((~brave(X)&~tall(X))<=>(brave(X)<~>~creative(X))))&
(![X]:(~tall(X)=>(rich(X)<~>~curious(X))))&
((?[X]:((~tall(X)<~>~kind(X))))<=>((~humble(john)&old(john))))&
(![X]:((~kind(X)<~>creative(X))<=>(~kind(X)... | humble(john) | [] | null | 0 |
Everyone who is both not brave and calm is brave and vice versa. If john is both not curious and not happy then lucy is both not rich and generous. If someone is not funny then susan is strong. If someone is tall or not funny then lucy is both not curious and tall. Everyone who is not old or not quiet is rich or not ca... | Mary is brave. | contradiction | (![X]:((~brave(X)&calm(X))<=>brave(X)))&
(((~curious(john)&~happy(john)))=>((~rich(lucy)&generous(lucy))))&
((?[X]:(~funny(X)))=>(strong(susan)))&
((?[X]:((tall(X)|~funny(X))))=>((~curious(lucy)&tall(lucy))))&
(![X]:((~old(X)|~quiet(X))<=>(rich(X)|~calm(X))))&
(![X]:((humble(X)&~curious(X))=>(patient(X)<~>~old(X))))&
(... | brave(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8390087850097357751181726
% SZS output start Proof for 8390087850097357751181726
1. ! [X0] : ((calm(X0) & ~brave(X0)) <=> brave(X0)) [input p0]
25. brave(mary) [input hypothesis]
42. ! [X0] : (((calm(X0) & ~brave(X0)) | ~brave(X0)) & (brave(X0) | (~calm(X0) | brave(X0)))) [nnf transformat... | 0 |
If paul is not quiet then fred is strong or not kind. If someone is both not humble and patient then someone is both not patient and not strong. Everyone who is not brave is not calm and vice versa. Everyone who is both not funny and not quiet is not calm. Everyone who is either wise or patient is both funny and not cu... | Lucy is not humble. | contradiction | ((~quiet(paul))=>((strong(fred)|~kind(fred))))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
(![X]:((~funny(X)&~quiet(X))=>~calm(X)))&
(![X]:((wise(X)<~>patient(X))=>(funny(X)&~curious(X))))&
(![X]:((~wise(X)|~calm(X))<=>~wise(X)))&
(![X]:((~humble(X)<~>old(X))<=... | ~humble(lucy) | [
"p1",
"p2",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1923158328983080943555649
% SZS output start Proof for 1923158328983080943555649
2. ? [X0] : (patient(X0) & ~humble(X0)) => ? [X0] : (~strong(X0) & ~patient(X0)) [input p1]
3. ! [X0] : (~brave(X0) <=> ~calm(X0)) [input p2]
9. (~brave(paul) & ~generous(paul)) <=> ? [X0] : (~curious(X0) | ~... | 0 |
Everyone who is either kind or curious is both not rich and creative and vice versa.
If susan is quiet or tall then someone is both calm and not rich.
If mary is both not creative and funny then lucy is either not quiet or old and vice versa.
Everyone who is both not creative and tall is both funny and curious.
Everyon... | Alice is old. | neutral | (![X]:((kind(X)<~>curious(X))<=>(~rich(X)&creative(X))))&
(((quiet(susan)|tall(susan)))=>(?[X]:((calm(X)&~rich(X)))))&
(((~creative(mary)&funny(mary)))<=>((~quiet(lucy)<~>old(lucy))))&
(![X]:((~creative(X)&tall(X))=>(funny(X)&curious(X))))&
(![X]:(~patient(X)<=>(~old(X)<~>calm(X))))&
(((~creative(john)&happy(john)))=>(... | old(alice) | [] | null | 0 |
Everyone who is not calm is not tall and vice versa.
If fred is either not humble or funny then lucy is rich or generous and vice versa.
If fred is not generous then someone is humble or quiet and vice versa.
If susan is both not creative and not wise then susan is not tall and vice versa.
If john is strong then someon... | John is not happy. | contradiction | (![X]:(~calm(X)<=>~tall(X)))&
(((~humble(fred)<~>funny(fred)))<=>((rich(lucy)|generous(lucy))))&
((~generous(fred))<=>(?[X]:((humble(X)|quiet(X)))))&
(((~creative(susan)&~wise(susan)))<=>(~tall(susan)))&
((strong(john))<=>(?[X]:((~calm(X)&~happy(X)))))&
(((humble(mary)|~strong(mary)))<=>(?[X]:(~creative(X))))&
(![X]:(r... | ~happy(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8532033879440811317190859
% SZS output start Proof for 8532033879440811317190859
8. (~happy(john) | ~wise(john)) <=> ? [X0] : (humble(X0) & ~humble(X0)) [input p7]
24. ~happy(john) [input hypothesis]
52. ((~happy(john) | ~wise(john)) | ! [X0] : (~humble(X0) | humble(X0))) & (? [X0] : (hum... | 0 |
If someone is either quiet or not brave then paul is not patient and vice versa.
If someone is both not calm and strong then john is rich and vice versa.
If paul is either patient or strong then paul is calm or generous.
If paul is strong then lucy is both curious and not brave and vice versa.
Everyone who is either ri... | John is tall. | neutral | ((?[X]:((quiet(X)<~>~brave(X))))<=>(~patient(paul)))&
((?[X]:((~calm(X)&strong(X))))<=>(rich(john)))&
(((patient(paul)<~>strong(paul)))=>((calm(paul)|generous(paul))))&
((strong(paul))<=>((curious(lucy)&~brave(lucy))))&
(![X]:((rich(X)<~>~happy(X))<=>~wise(X)))&
((?[X]:((~curious(X)<~>patient(X))))<=>(?[X]:((creative(X... | tall(john) | [] | null | 0 |
If mary is either not old or kind then susan is both generous and humble.
Everyone who is not rich is either funny or not strong.
Everyone who is both funny and not rich is both not generous and not kind.
Everyone who is calm is both not wise and not quiet.
Everyone who is both not brave and curious is both tall and no... | Alice is brave. | entailment | (((~old(mary)<~>kind(mary)))=>((generous(susan)&humble(susan))))&
(![X]:(~rich(X)=>(funny(X)<~>~strong(X))))&
(![X]:((funny(X)&~rich(X))=>(~generous(X)&~kind(X))))&
(![X]:(calm(X)=>(~wise(X)&~quiet(X))))&
(![X]:((~brave(X)&curious(X))<=>(tall(X)&~creative(X))))&
(![X]:(happy(X)=>brave(X)))&
(((~kind(susan)|~happy(susan... | brave(alice) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2875563596663134515914591
% SZS output start Proof for 2875563596663134515914591
6. ! [X0] : (happy(X0) => brave(X0)) [input p5]
14. ! [X0] : ((brave(X0) | ~brave(X0)) => (humble(X0) & happy(X0))) [input p13]
24. ~brave(alice) [input hypothesis]
31. ! [X0] : (brave(X0) | ~happy(X0)) [ennf... | 0 |
If alice is not curious then someone is either not generous or curious.
Everyone who is both not generous and not old is both not calm and not quiet.
Everyone who is creative is either not kind or kind and vice versa.
Everyone who is quiet is wise.
Everyone who is both creative and brave is both not tall and not happy.... | Alice is not quiet. | entailment | ((~curious(alice))=>(?[X]:((~generous(X)<~>curious(X)))))&
(![X]:((~generous(X)&~old(X))=>(~calm(X)&~quiet(X))))&
(![X]:(creative(X)<=>(~kind(X)<~>kind(X))))&
(![X]:(quiet(X)=>wise(X)))&
(![X]:((creative(X)&brave(X))=>(~tall(X)&~happy(X))))&
(![X]:(~old(X)=>funny(X)))&
((?[X]:(creative(X)))<=>((creative(susan)<~>happy(... | ~quiet(alice) | [
"p3",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3712540760496842442524326
% SZS output start Proof for 3712540760496842442524326
4. ! [X0] : (quiet(X0) => wise(X0)) [input p3]
13. ! [X0] : ((~funny(X0) & ~curious(X0)) <=> wise(X0)) [input p12]
14. ! [X0] : ((brave(X0) & funny(X0)) <=> (~funny(X0) | ~quiet(X0))) [input p13]
23. quiet(al... | 0 |
If someone is not strong then someone is tall. Everyone who is either not generous or kind is either not funny or strong. If someone is both happy and wise then paul is not curious. If john is creative or tall then lucy is not rich. If someone is quiet or not rich then paul is both humble and patient. If susan is curio... | Paul is not happy. | neutral | ((?[X]:(~strong(X)))=>(?[X]:(tall(X))))&
(![X]:((~generous(X)<~>kind(X))=>(~funny(X)<~>strong(X))))&
((?[X]:((happy(X)&wise(X))))=>(~curious(paul)))&
(((creative(john)|tall(john)))=>(~rich(lucy)))&
((?[X]:((quiet(X)|~rich(X))))=>((humble(paul)&patient(paul))))&
(((curious(susan)|~quiet(susan)))<=>(~funny(lucy)))&
(![X]... | ~happy(paul) | [] | null | 0 |
Everyone who is not wise or patient is either not old or not curious and vice versa. Everyone who is generous is either strong or not tall. If lucy is humble then susan is both not funny and not generous and vice versa. Everyone who is both quiet and not funny is patient or tall and vice versa. Everyone who is not wise... | Lucy is funny. | contradiction | (![X]:((~wise(X)|patient(X))<=>(~old(X)<~>~curious(X))))&
(![X]:(generous(X)=>(strong(X)<~>~tall(X))))&
((humble(lucy))<=>((~funny(susan)&~generous(susan))))&
(![X]:((quiet(X)&~funny(X))<=>(patient(X)|tall(X))))&
(![X]:(~wise(X)=>(~rich(X)<~>old(X))))&
(((wise(lucy)<~>~brave(lucy)))<=>((creative(john)<~>~creative(john)... | funny(lucy) | [
"p3",
"p5",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7992962106861173692919841
% SZS output start Proof for 7992962106861173692919841
4. ! [X0] : ((~funny(X0) & quiet(X0)) <=> (tall(X0) | patient(X0))) [input p3]
6. (wise(lucy) <~> ~brave(lucy)) <=> (creative(john) <~> ~creative(john)) [input p5]
8. ! [X0] : ((patient(X0) | ~kind(X0)) => (b... | 0 |
If someone is both old and quiet then someone is both tall and not rich and vice versa.
If john is kind or quiet then john is brave or strong and vice versa.
If lucy is both humble and brave then john is tall and vice versa.
If mary is both not curious and not wise then fred is either not brave or not humble.
Everyone ... | Susan is not quiet. | entailment | ((?[X]:((old(X)&quiet(X))))<=>(?[X]:((tall(X)&~rich(X)))))&
(((kind(john)|quiet(john)))<=>((brave(john)|strong(john))))&
(((humble(lucy)&brave(lucy)))<=>(tall(john)))&
(((~curious(mary)&~wise(mary)))=>((~brave(fred)<~>~humble(fred))))&
(![X]:((brave(X)<~>~tall(X))=>(~patient(X)&~calm(X))))&
((?[X]:((creative(X)<~>brave... | ~quiet(susan) | [
"p4",
"p5",
"p8",
"p9",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2257196014526629835438898
% SZS output start Proof for 2257196014526629835438898
5. ! [X0] : ((brave(X0) <~> ~tall(X0)) => (~calm(X0) & ~patient(X0))) [input p4]
6. ? [X0] : (creative(X0) <~> brave(X0)) <=> (old(susan) | wise(susan)) [input p5]
9. ! [X0] : (tall(X0) <=> brave(X0)) [input ... | 0 |
Everyone who is not happy or not curious is not brave.
Everyone who is both not funny and happy is either not tall or old and vice versa.
If someone is either kind or not humble then someone is strong.
Everyone who is both not humble and humble is both kind and tall and vice versa.
If lucy is wise then susan is either ... | Alice is not tall. | entailment | (![X]:((~happy(X)|~curious(X))=>~brave(X)))&
(![X]:((~funny(X)&happy(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((kind(X)<~>~humble(X))))=>(?[X]:(strong(X))))&
(![X]:((~humble(X)&humble(X))<=>(kind(X)&tall(X))))&
((wise(lucy))<=>((~creative(susan)<~>rich(susan))))&
((~creative(lucy))<=>(calm(alice)))&
(![X]:((~creative(X)|hum... | ~tall(alice) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 410765386937027072769394
% SZS output start Proof for 410765386937027072769394
11. ! [X0] : ((~patient(X0) <~> curious(X0)) <=> ~curious(X0)) [input p10]
15. ! [X0] : ((~patient(X0) | kind(X0)) => ~tall(X0)) [input p14]
22. tall(alice) [input hypothesis]
30. ! [X0] : (~tall(X0) | (patient... | 0 |
Everyone who is both patient and not generous is both quiet and not happy and vice versa.
Everyone who is both not patient and not kind is not strong and vice versa.
Everyone who is patient or rich is curious.
If paul is either kind or not tall then someone is both humble and not curious.
Everyone who is either not pat... | Paul is old. | neutral | (![X]:((patient(X)&~generous(X))<=>(quiet(X)&~happy(X))))&
(![X]:((~patient(X)&~kind(X))<=>~strong(X)))&
(![X]:((patient(X)|rich(X))=>curious(X)))&
(((kind(paul)<~>~tall(paul)))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((~patient(X)<~>quiet(X))<=>(wise(X)|humble(X))))&
(![X]:(~strong(X)=>~old(X)))&
(![X]:((strong(X)<~... | old(paul) | [] | null | 0 |
If someone is not humble or not funny then susan is both not generous and not funny and vice versa.
Everyone who is humble is either wise or humble and vice versa.
If someone is wise or not calm then fred is either not tall or not brave.
Everyone who is not curious or funny is not tall or not quiet.
Everyone who is eit... | Alice is not quiet. | neutral | ((?[X]:((~humble(X)|~funny(X))))<=>((~generous(susan)&~funny(susan))))&
(![X]:(humble(X)<=>(wise(X)<~>humble(X))))&
((?[X]:((wise(X)|~calm(X))))=>((~tall(fred)<~>~brave(fred))))&
(![X]:((~curious(X)|funny(X))=>(~tall(X)|~quiet(X))))&
(![X]:((kind(X)<~>patient(X))<=>(~rich(X)&kind(X))))&
(![X]:(~funny(X)<=>(strong(X)<~>... | ~quiet(alice) | [] | null | 0 |
If john is humble then someone is both patient and kind.
If paul is both not patient and kind then susan is either not tall or not patient and vice versa.
Everyone who is funny or not curious is funny and vice versa.
If someone is calm then someone is patient and vice versa.
Everyone who is both not patient and wise is... | Paul is wise. | contradiction | ((humble(john))=>(?[X]:((patient(X)&kind(X)))))&
(((~patient(paul)&kind(paul)))<=>((~tall(susan)<~>~patient(susan))))&
(![X]:((funny(X)|~curious(X))<=>funny(X)))&
((?[X]:(calm(X)))<=>(?[X]:(patient(X))))&
(![X]:((~patient(X)&wise(X))<=>(~old(X)&~kind(X))))&
((?[X]:((calm(X)<~>~patient(X))))=>(?[X]:((~funny(X)|kind(X)))... | wise(paul) | [
"p4",
"p7",
"p8",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2679874800294647609379286
% SZS output start Proof for 2679874800294647609379286
5. ! [X0] : ((wise(X0) & ~patient(X0)) <=> (~kind(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((~brave(X0) & rich(X0)) <=> (~rich(X0) <~> ~funny(X0))) [input p7]
9. ? [X0] : (~quiet(X0) | old(X0)) <=> ? [X0] : (f... | 0 |
Everyone who is either not strong or brave is brave and vice versa.
If susan is either wise or humble then mary is both strong and brave.
Everyone who is humble is either tall or brave.
Everyone who is not quiet or creative is quiet or not quiet and vice versa.
Everyone who is both creative and patient is both not brav... | Fred is not curious. | neutral | (![X]:((~strong(X)<~>brave(X))<=>brave(X)))&
(((wise(susan)<~>humble(susan)))=>((strong(mary)&brave(mary))))&
(![X]:(humble(X)=>(tall(X)<~>brave(X))))&
(![X]:((~quiet(X)|creative(X))<=>(quiet(X)|~quiet(X))))&
(![X]:((creative(X)&patient(X))<=>(~brave(X)&rich(X))))&
(![X]:((wise(X)&~brave(X))=>(~brave(X)&calm(X))))&
((?... | ~curious(fred) | [] | null | 0 |
If someone is either kind or not creative then mary is either not kind or not humble. If someone is both not strong and not kind then someone is both not patient and not rich and vice versa. Everyone who is both old and creative is strong and vice versa. If someone is either not patient or happy then susan is either ha... | Mary is old. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((~kind(mary)<~>~humble(mary))))&
((?[X]:((~strong(X)&~kind(X))))<=>(?[X]:((~patient(X)&~rich(X)))))&
(![X]:((old(X)&creative(X))<=>strong(X)))&
((?[X]:((~patient(X)<~>happy(X))))=>((happy(susan)<~>patient(susan))))&
(![X]:(kind(X)=>~curious(X)))&
(((~rich(mary)<~>funny(mary)))<=>(~h... | old(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 197560378046570313995618
% SZS output start Proof for 197560378046570313995618
16. ! [X0] : ((patient(X0) <~> old(X0)) <=> patient(X0)) [input p15]
23. old(mary) [input hypothesis]
60. ! [X0] : ((((~old(X0) | ~patient(X0)) & (old(X0) | patient(X0))) | ~patient(X0)) & (patient(X0) | ((pati... | 0 |
Everyone who is not quiet is brave or wise. Everyone who is both curious and happy is not brave. Everyone who is tall or creative is funny. Everyone who is not wise is creative or not brave and vice versa. If someone is both not humble and happy then someone is wise and vice versa. If alice is either not wise or kind t... | Susan is humble. | neutral | (![X]:(~quiet(X)=>(brave(X)|wise(X))))&
(![X]:((curious(X)&happy(X))=>~brave(X)))&
(![X]:((tall(X)|creative(X))=>funny(X)))&
(![X]:(~wise(X)<=>(creative(X)|~brave(X))))&
((?[X]:((~humble(X)&happy(X))))<=>(?[X]:(wise(X))))&
(((~wise(alice)<~>kind(alice)))=>(?[X]:((~happy(X)&happy(X)))))&
((?[X]:((curious(X)|funny(X))))=... | humble(susan) | [] | null | 0 |
If mary is either generous or not generous then someone is either curious or not brave and vice versa.
Everyone who is not tall is both rich and quiet.
Everyone who is happy is both old and creative and vice versa.
Everyone who is curious is strong or not quiet and vice versa.
Everyone who is strong is wise or funny.
E... | Mary is old. | neutral | (((generous(mary)<~>~generous(mary)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(![X]:(~tall(X)=>(rich(X)&quiet(X))))&
(![X]:(happy(X)<=>(old(X)&creative(X))))&
(![X]:(curious(X)<=>(strong(X)|~quiet(X))))&
(![X]:(strong(X)=>(wise(X)|funny(X))))&
(![X]:((kind(X)&~kind(X))=>(~old(X)<~>~happy(X))))&
(![X]:((happy(X)&quiet(X))... | old(mary) | [] | null | 0 |
If fred is both patient and calm then someone is brave or quiet and vice versa.
Everyone who is either not humble or not happy is both calm and not tall and vice versa.
Everyone who is either not rich or not funny is both generous and not creative.
Everyone who is both curious and not tall is quiet.
If fred is both not... | John is generous. | neutral | (((patient(fred)&calm(fred)))<=>(?[X]:((brave(X)|quiet(X)))))&
(![X]:((~humble(X)<~>~happy(X))<=>(calm(X)&~tall(X))))&
(![X]:((~rich(X)<~>~funny(X))=>(generous(X)&~creative(X))))&
(![X]:((curious(X)&~tall(X))=>quiet(X)))&
(((~rich(fred)&creative(fred)))=>(?[X]:((~calm(X)&~wise(X)))))&
(![X]:((wise(X)<~>patient(X))=>(cu... | generous(john) | [] | null | 0 |
Everyone who is not tall or not humble is happy or calm and vice versa. Everyone who is rich is not kind. If mary is either not generous or rich then someone is kind or not creative. If someone is both not quiet and rich then alice is both tall and kind and vice versa. Everyone who is either funny or strong is either h... | John is not quiet. | neutral | (![X]:((~tall(X)|~humble(X))<=>(happy(X)|calm(X))))&
(![X]:(rich(X)=>~kind(X)))&
(((~generous(mary)<~>rich(mary)))=>(?[X]:((kind(X)|~creative(X)))))&
((?[X]:((~quiet(X)&rich(X))))<=>((tall(alice)&kind(alice))))&
(![X]:((funny(X)<~>strong(X))<=>(happy(X)<~>~generous(X))))&
(((creative(john)|~happy(john)))<=>(wise(mary))... | ~quiet(john) | [] | null | 0 |
If mary is funny or not kind then susan is either not happy or kind.
If someone is both not tall and not strong then someone is both old and not humble and vice versa.
Everyone who is both rich and not humble is calm.
If someone is calm then someone is both creative and not tall and vice versa.
Everyone who is patient ... | John is not brave. | neutral | (((funny(mary)|~kind(mary)))=>((~happy(susan)<~>kind(susan))))&
((?[X]:((~tall(X)&~strong(X))))<=>(?[X]:((old(X)&~humble(X)))))&
(![X]:((rich(X)&~humble(X))=>calm(X)))&
((?[X]:(calm(X)))<=>(?[X]:((creative(X)&~tall(X)))))&
(![X]:((patient(X)|~kind(X))=>happy(X)))&
(![X]:((quiet(X)|strong(X))<=>(quiet(X)<~>~kind(X))))&
... | ~brave(john) | [] | null | 0 |
Everyone who is not tall is either old or not humble and vice versa.
Everyone who is both not curious and not creative is either not patient or not brave and vice versa.
If someone is not curious then someone is either brave or not wise and vice versa.
Everyone who is not generous is either not old or tall.
Everyone wh... | Susan is humble. | contradiction | (![X]:(~tall(X)<=>(old(X)<~>~humble(X))))&
(![X]:((~curious(X)&~creative(X))<=>(~patient(X)<~>~brave(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((brave(X)<~>~wise(X)))))&
(![X]:(~generous(X)=>(~old(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(~funny(X)|~rich(X))))&
((?[X]:((~happy(X)|rich(X))))=>((humble(fred)<~>~strong(fred))))&
(... | humble(susan) | [
"p0",
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3258525246392435699825303
% SZS output start Proof for 3258525246392435699825303
1. ! [X0] : (~tall(X0) <=> (old(X0) <~> ~humble(X0))) [input p0]
4. ! [X0] : (~generous(X0) => (~old(X0) <~> tall(X0))) [input p3]
7. ! [X0] : ((old(X0) & ~wise(X0)) <=> (brave(X0) | generous(X0))) [input p6]... | 0 |
Everyone who is both kind and rich is both not strong and not old and vice versa.
If mary is either not tall or tall then alice is both rich and wise and vice versa.
If someone is not kind or not old then mary is both funny and not strong and vice versa.
If mary is both not humble and wise then someone is both not gene... | Alice is not wise. | contradiction | (![X]:((kind(X)&rich(X))<=>(~strong(X)&~old(X))))&
(((~tall(mary)<~>tall(mary)))<=>((rich(alice)&wise(alice))))&
((?[X]:((~kind(X)|~old(X))))<=>((funny(mary)&~strong(mary))))&
(((~humble(mary)&wise(mary)))=>(?[X]:((~generous(X)&old(X)))))&
(![X]:(wise(X)<=>~quiet(X)))&
((?[X]:((~curious(X)<~>generous(X))))<=>(?[X]:((cr... | ~wise(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5452834295245114634404192
% SZS output start Proof for 5452834295245114634404192
2. (~tall(mary) <~> tall(mary)) <=> (wise(alice) & rich(alice)) [input p1]
24. ~wise(alice) [input hypothesis]
39. (((~tall(mary) | tall(mary)) & (tall(mary) | ~tall(mary))) | (~wise(alice) | ~rich(alice))) &... | 0 |
Everyone who is not strong or tall is both kind and old and vice versa.
If paul is either not old or humble then someone is not strong.
Everyone who is not patient or not tall is either not kind or calm and vice versa.
If someone is either not old or kind then someone is both wise and not wise.
Everyone who is either n... | Fred is not old. | entailment | (![X]:((~strong(X)|tall(X))<=>(kind(X)&old(X))))&
(((~old(paul)<~>humble(paul)))=>(?[X]:(~strong(X))))&
(![X]:((~patient(X)|~tall(X))<=>(~kind(X)<~>calm(X))))&
((?[X]:((~old(X)<~>kind(X))))=>(?[X]:((wise(X)&~wise(X)))))&
(![X]:((~strong(X)<~>~creative(X))=>(~curious(X)<~>rich(X))))&
((?[X]:((patient(X)&tall(X))))=>((~h... | ~old(fred) | [
"p0",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6775134612918568156394292
% SZS output start Proof for 6775134612918568156394292
1. ! [X0] : ((tall(X0) | ~strong(X0)) <=> (old(X0) & kind(X0))) [input p0]
4. ? [X0] : (~old(X0) <~> kind(X0)) => ? [X0] : (~wise(X0) & wise(X0)) [input p3]
11. ! [X0] : ((creative(X0) | old(X0)) => (~strong(... | 0 |
Everyone who is patient or not creative is not wise. If someone is not strong then someone is not quiet or not strong. Everyone who is calm is either not rich or quiet. Everyone who is either not kind or happy is not strong. If someone is not strong then someone is tall and vice versa. Everyone who is both not old and ... | John is generous. | neutral | (![X]:((patient(X)|~creative(X))=>~wise(X)))&
((?[X]:(~strong(X)))=>(?[X]:((~quiet(X)|~strong(X)))))&
(![X]:(calm(X)=>(~rich(X)<~>quiet(X))))&
(![X]:((~kind(X)<~>happy(X))=>~strong(X)))&
((?[X]:(~strong(X)))<=>(?[X]:(tall(X))))&
(![X]:((~old(X)&~curious(X))<=>(kind(X)|~rich(X))))&
(![X]:((~generous(X)|wise(X))<=>quiet(... | generous(john) | [] | null | 0 |
If someone is funny then john is not wise.
If someone is not happy or patient then john is both not tall and curious and vice versa.
If john is not funny or humble then john is not wise or wise and vice versa.
Everyone who is both not happy and not curious is either not funny or not patient and vice versa.
Everyone who... | Mary is wise. | contradiction | ((?[X]:(funny(X)))=>(~wise(john)))&
((?[X]:((~happy(X)|patient(X))))<=>((~tall(john)&curious(john))))&
(((~funny(john)|humble(john)))<=>((~wise(john)|wise(john))))&
(![X]:((~happy(X)&~curious(X))<=>(~funny(X)<~>~patient(X))))&
(![X]:((~tall(X)|~generous(X))<=>(tall(X)&~old(X))))&
(![X]:((tall(X)|generous(X))=>(~generou... | wise(mary) | [
"p1",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3255982137605667924519013
% SZS output start Proof for 3255982137605667924519013
2. ? [X0] : (patient(X0) | ~happy(X0)) <=> (curious(john) & ~tall(john)) [input p1]
5. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~old(X0) & tall(X0))) [input p4]
6. ! [X0] : ((generous(X0) | tall(X0)) => (ri... | 0 |
If mary is rich then john is both not creative and tall and vice versa.
Everyone who is not strong or tall is either not old or not wise and vice versa.
If someone is either not curious or rich then someone is both happy and not tall and vice versa.
Everyone who is tall or patient is either humble or tall and vice vers... | John is not humble. | entailment | ((rich(mary))<=>((~creative(john)&tall(john))))&
(![X]:((~strong(X)|tall(X))<=>(~old(X)<~>~wise(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>(?[X]:((happy(X)&~tall(X)))))&
(![X]:((tall(X)|patient(X))<=>(humble(X)<~>tall(X))))&
(((~humble(mary)&quiet(mary)))=>(~kind(mary)))&
(![X]:((~funny(X)|creative(X))<=>~humble(X)))&
... | ~humble(john) | [
"p3",
"p5",
"p8",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 36957408206046155682985
% SZS output start Proof for 36957408206046155682985
4. ! [X0] : ((patient(X0) | tall(X0)) <=> (humble(X0) <~> tall(X0))) [input p3]
6. ! [X0] : ((creative(X0) | ~funny(X0)) <=> ~humble(X0)) [input p5]
9. (creative(john) <~> ~strong(john)) <=> ? [X0] : (strong(X0) ... | 0 |
If someone is both kind and quiet then someone is both funny and tall. Everyone who is either not brave or not quiet is both not wise and not funny and vice versa. If someone is both not kind and kind then someone is either generous or creative. Everyone who is not patient is both patient and generous. If alice is both... | Fred is not brave. | contradiction | ((?[X]:((kind(X)&quiet(X))))=>(?[X]:((funny(X)&tall(X)))))&
(![X]:((~brave(X)<~>~quiet(X))<=>(~wise(X)&~funny(X))))&
((?[X]:((~kind(X)&kind(X))))=>(?[X]:((generous(X)<~>creative(X)))))&
(![X]:(~patient(X)=>(patient(X)&generous(X))))&
(((~curious(alice)&~quiet(alice)))=>((brave(john)<~>~generous(john))))&
(((~tall(fred)... | ~brave(fred) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9058623588674589707772126
% SZS output start Proof for 9058623588674589707772126
4. ! [X0] : (~patient(X0) => (generous(X0) & patient(X0))) [input p3]
11. ! [X0] : ((~happy(X0) | patient(X0)) <=> brave(X0)) [input p10]
24. ~brave(fred) [input hypothesis]
32. ! [X0] : ((generous(X0) & pati... | 0 |
Everyone who is either not tall or funny is old or strong and vice versa.
If someone is not creative or patient then paul is old and vice versa.
If susan is either generous or not quiet then lucy is not rich.
Everyone who is wise is creative or happy and vice versa.
Everyone who is funny is both not creative and genero... | Mary is strong. | entailment | (![X]:((~tall(X)<~>funny(X))<=>(old(X)|strong(X))))&
((?[X]:((~creative(X)|patient(X))))<=>(old(paul)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~creative(paul)))<=>((calm(lucy)|~creative(lucy))))&
(... | strong(mary) | [
"p6",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8417761546825758464513820
% SZS output start Proof for 8417761546825758464513820
7. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> rich(X0)) [input p6]
8. ? [X0] : (creative(X0) | ~strong(X0)) <=> ~rich(mary) [input p7]
13. ! [X0] : (old(X0) => (~funny(X0) & ~humble(X0))) [input p12]
15. ! [X0]... | 0 |
Everyone who is both tall and kind is not patient.
If someone is either not brave or humble then someone is either not brave or kind.
Everyone who is quiet is both not patient and not wise and vice versa.
If paul is both not happy and not rich then someone is strong or not patient and vice versa.
If someone is not crea... | Alice is not strong. | entailment | (![X]:((tall(X)&kind(X))=>~patient(X)))&
((?[X]:((~brave(X)<~>humble(X))))=>(?[X]:((~brave(X)<~>kind(X)))))&
(![X]:(quiet(X)<=>(~patient(X)&~wise(X))))&
(((~happy(paul)&~rich(paul)))<=>(?[X]:((strong(X)|~patient(X)))))&
((?[X]:((~creative(X)|old(X))))<=>(?[X]:((old(X)<~>~strong(X)))))&
((humble(mary))<=>(?[X]:((strong(... | ~strong(alice) | [
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 495991433304780285339729
% SZS output start Proof for 495991433304780285339729
4. (~rich(paul) & ~happy(paul)) <=> ? [X0] : (~patient(X0) | strong(X0)) [input p3]
13. ! [X0] : ((~happy(X0) <~> rich(X0)) => (curious(X0) & ~curious(X0))) [input p12]
25. strong(alice) [input hypothesis]
35. ... | 0 |
If someone is not brave or funny then someone is not brave.
If mary is not strong or strong then john is calm or generous.
Everyone who is both not happy and tall is either not humble or not old.
If mary is not rich then someone is both not happy and old.
Everyone who is generous is both strong and not patient.
Everyon... | John is quiet. | entailment | ((?[X]:((~brave(X)|funny(X))))=>(?[X]:(~brave(X))))&
(((~strong(mary)|strong(mary)))=>((calm(john)|generous(john))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:(generous(X)=>(strong(X)&~patient(X))))&
(![X]:((quiet(X)|kind(X))<=>(happy(X)|funny(X))))&
(![X... | quiet(john) | [
"p1",
"p4",
"p5",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7583738319827188042753894
% SZS output start Proof for 7583738319827188042753894
2. (strong(mary) | ~strong(mary)) => (generous(john) | calm(john)) [input p1]
5. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p4]
6. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0) | happy(X0... | 0 |
If someone is not wise or quiet then paul is either funny or creative.
Everyone who is not strong is humble.
If alice is humble or happy then someone is both humble and not old.
Everyone who is both not wise and not humble is either rich or strong.
Everyone who is both not happy and wise is both not strong and old and ... | Alice is wise. | neutral | ((?[X]:((~wise(X)|quiet(X))))=>((funny(paul)<~>creative(paul))))&
(![X]:(~strong(X)=>humble(X)))&
(((humble(alice)|happy(alice)))=>(?[X]:((humble(X)&~old(X)))))&
(![X]:((~wise(X)&~humble(X))=>(rich(X)<~>strong(X))))&
(![X]:((~happy(X)&wise(X))<=>(~strong(X)&old(X))))&
(((~wise(alice)<~>patient(alice)))<=>(funny(alice))... | wise(alice) | [] | null | 0 |
Everyone who is either strong or not wise is happy and vice versa. Everyone who is curious is calm. Everyone who is either curious or not brave is strong and vice versa. Everyone who is either not wise or not kind is both quiet and brave and vice versa. Everyone who is both curious and not creative is not funny or calm... | Mary is not humble. | neutral | (![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious(X)&~creative(X))<=>(~funny(X)|calm(X))))&
((rich(fred))=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:((~brave(X)|quiet(X))<=>quiet(X)))... | ~humble(mary) | [] | null | 0 |
Everyone who is both quiet and tall is tall and vice versa.
Everyone who is wise or not tall is not wise or wise and vice versa.
Everyone who is both not rich and calm is either not strong or not funny.
Everyone who is both not humble and generous is brave and vice versa.
Everyone who is either calm or old is patient a... | John is creative. | neutral | (![X]:((quiet(X)&tall(X))<=>tall(X)))&
(![X]:((wise(X)|~tall(X))<=>(~wise(X)|wise(X))))&
(![X]:((~rich(X)&calm(X))=>(~strong(X)<~>~funny(X))))&
(![X]:((~humble(X)&generous(X))<=>brave(X)))&
(![X]:((calm(X)<~>old(X))<=>patient(X)))&
(((~calm(lucy)<~>~curious(lucy)))=>(?[X]:((happy(X)<~>curious(X)))))&
(((~wise(john)<~>~... | creative(john) | [] | null | 0 |
Everyone who is generous or not kind is either not quiet or calm.
Everyone who is either kind or old is both calm and not happy and vice versa.
If paul is either old or not funny then paul is quiet.
Everyone who is both not creative and quiet is not calm or not brave and vice versa.
If lucy is both quiet and kind then ... | Paul is curious. | neutral | (![X]:((generous(X)|~kind(X))=>(~quiet(X)<~>calm(X))))&
(![X]:((kind(X)<~>old(X))<=>(calm(X)&~happy(X))))&
(((old(paul)<~>~funny(paul)))=>(quiet(paul)))&
(![X]:((~creative(X)&quiet(X))<=>(~calm(X)|~brave(X))))&
(((quiet(lucy)&kind(lucy)))<=>(?[X]:((~curious(X)&~wise(X)))))&
(![X]:((brave(X)&rich(X))=>~patient(X)))&
((?... | curious(paul) | [] | null | 0 |
Everyone who is either not strong or not happy is not quiet or not tall and vice versa.
If someone is funny then john is not patient or not quiet and vice versa.
Everyone who is not quiet is strong or not calm and vice versa.
Everyone who is calm is not humble and vice versa.
Everyone who is curious is not calm and vic... | Susan is humble. | entailment | (![X]:((~strong(X)<~>~happy(X))<=>(~quiet(X)|~tall(X))))&
((?[X]:(funny(X)))<=>((~patient(john)|~quiet(john))))&
(![X]:(~quiet(X)<=>(strong(X)|~calm(X))))&
(![X]:(calm(X)<=>~humble(X)))&
(![X]:(curious(X)<=>~calm(X)))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)<~>~old(X))))&
(![X]:((calm(X)<~>tall(X))<=>(~patient(X)<~>~kin... | humble(susan) | [
"p1",
"p2",
"p3",
"p4",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6421468682743623874502571
% SZS output start Proof for 6421468682743623874502571
2. ? [X0] : funny(X0) <=> (~quiet(john) | ~patient(john)) [input p1]
3. ! [X0] : (~quiet(X0) <=> (~calm(X0) | strong(X0))) [input p2]
4. ! [X0] : (calm(X0) <=> ~humble(X0)) [input p3]
5. ! [X0] : (curious(X0)... | 0 |
If alice is not kind or not patient then someone is either not kind or creative. If someone is either not tall or not calm then someone is either creative or not old and vice versa. Everyone who is not creative is either humble or wise. If john is both not funny and patient then someone is not happy or kind. If fred is... | Alice is generous. | contradiction | (((~kind(alice)|~patient(alice)))=>(?[X]:((~kind(X)<~>creative(X)))))&
((?[X]:((~tall(X)<~>~calm(X))))<=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:(~creative(X)=>(humble(X)<~>wise(X))))&
(((~funny(john)&patient(john)))=>(?[X]:((~happy(X)|kind(X)))))&
(((funny(fred)<~>rich(fred)))=>((creative(fred)|happy(fred))))&
(![X]:... | generous(alice) | [
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8655217354798846867614430
% SZS output start Proof for 8655217354798846867614430
6. ! [X0] : ((wise(X0) <~> humble(X0)) <=> wise(X0)) [input p5]
13. ! [X0] : ((~generous(X0) <~> ~humble(X0)) <=> (~happy(X0) & creative(X0))) [input p12]
14. ! [X0] : ((creative(X0) | patient(X0)) <=> (~pati... | 0 |
If lucy is curious or not wise then someone is strong and vice versa. Everyone who is either creative or calm is both not rich and kind. If someone is not brave or tall then lucy is humble or not generous. Everyone who is both not rich and not tall is not funny or old and vice versa. If susan is both not funny and not ... | Lucy is not calm. | entailment | (((curious(lucy)|~wise(lucy)))<=>(?[X]:(strong(X))))&
(![X]:((creative(X)<~>calm(X))=>(~rich(X)&kind(X))))&
((?[X]:((~brave(X)|tall(X))))=>((humble(lucy)|~generous(lucy))))&
(![X]:((~rich(X)&~tall(X))<=>(~funny(X)|old(X))))&
(((~funny(susan)&~humble(susan)))<=>((happy(john)&~kind(john))))&
(![X]:((wise(X)|creative(X))<... | ~calm(lucy) | [
"p1",
"p3",
"p5",
"p9",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3204929236476257316868531
% SZS output start Proof for 3204929236476257316868531
2. ! [X0] : ((creative(X0) <~> calm(X0)) => (kind(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((~tall(X0) & ~rich(X0)) <=> (old(X0) | ~funny(X0))) [input p3]
6. ! [X0] : ((creative(X0) | wise(X0)) <=> (brave(X0)... | 0 |
Everyone who is not generous is wise or tall and vice versa.
If mary is generous then mary is either not calm or not old.
Everyone who is either happy or not curious is not happy.
Everyone who is both happy and curious is not patient.
Everyone who is creative or humble is either not old or tall and vice versa.
Everyone... | John is not patient. | neutral | (![X]:(~generous(X)<=>(wise(X)|tall(X))))&
((generous(mary))=>((~calm(mary)<~>~old(mary))))&
(![X]:((happy(X)<~>~curious(X))=>~happy(X)))&
(![X]:((happy(X)&curious(X))=>~patient(X)))&
(![X]:((creative(X)|humble(X))<=>(~old(X)<~>tall(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>(~quiet(X)<~>~humble(X))))&
((?[X]:((happy(X)&~t... | ~patient(john) | [] | null | 0 |
If fred is generous or not old then someone is humble or not brave and vice versa.
If someone is both brave and strong then someone is not funny or creative.
Everyone who is not humble or old is not funny or funny and vice versa.
Everyone who is either not funny or not happy is either curious or not patient and vice ve... | Fred is creative. | contradiction | (((generous(fred)|~old(fred)))<=>(?[X]:((humble(X)|~brave(X)))))&
((?[X]:((brave(X)&strong(X))))=>(?[X]:((~funny(X)|creative(X)))))&
(![X]:((~humble(X)|old(X))<=>(~funny(X)|funny(X))))&
(![X]:((~funny(X)<~>~happy(X))<=>(curious(X)<~>~patient(X))))&
(![X]:((wise(X)|generous(X))=>curious(X)))&
(![X]:((~humble(X)&old(X))=... | creative(fred) | [
"p2",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4895624119819578973756580
% SZS output start Proof for 4895624119819578973756580
3. ! [X0] : ((old(X0) | ~humble(X0)) <=> (funny(X0) | ~funny(X0))) [input p2]
7. ! [X0] : ((creative(X0) | funny(X0)) => humble(X0)) [input p6]
15. ! [X0] : (humble(X0) <=> ~old(X0)) [input p14]
24. creative(... | 0 |
If john is creative then someone is wise or quiet and vice versa.
Everyone who is either rich or old is brave or not happy and vice versa.
If mary is either not funny or funny then lucy is both strong and not creative and vice versa.
If lucy is either not happy or tall then someone is either curious or not quiet.
If so... | John is creative. | entailment | ((creative(john))<=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((rich(X)<~>old(X))<=>(brave(X)|~happy(X))))&
(((~funny(mary)<~>funny(mary)))<=>((strong(lucy)&~creative(lucy))))&
(((~happy(lucy)<~>tall(lucy)))=>(?[X]:((curious(X)<~>~quiet(X)))))&
((?[X]:((~happy(X)&funny(X))))<=>((curious(mary)&tall(mary))))&
(![X]:((creative(... | creative(john) | [
"p0",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4718296125037169502193492
% SZS output start Proof for 4718296125037169502193492
1. creative(john) <=> ? [X0] : (quiet(X0) | wise(X0)) [input p0]
24. happy(fred) & quiet(fred) [input p23]
25. ~creative(john) [input hypothesis]
39. (creative(john) | ! [X0] : (~quiet(X0) & ~wise(X0))) & (? ... | 0 |
Everyone who is either old or not old is either funny or not quiet and vice versa.
If fred is both generous and patient then alice is either not rich or generous and vice versa.
If paul is kind then someone is both not old and not happy and vice versa.
If susan is wise then mary is patient or strong and vice versa.
Eve... | Fred is not kind. | entailment | (![X]:((old(X)<~>~old(X))<=>(funny(X)<~>~quiet(X))))&
(((generous(fred)&patient(fred)))<=>((~rich(alice)<~>generous(alice))))&
((kind(paul))<=>(?[X]:((~old(X)&~happy(X)))))&
((wise(susan))<=>((patient(mary)|strong(mary))))&
(![X]:((kind(X)&humble(X))<=>~quiet(X)))&
(![X]:((happy(X)&wise(X))=>~generous(X)))&
(![X]:((~hu... | ~kind(fred) | [
"p6",
"p8",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7326078343743024440657000
% SZS output start Proof for 7326078343743024440657000
7. ! [X0] : ((strong(X0) & ~humble(X0)) <=> (~humble(X0) <~> kind(X0))) [input p6]
9. ! [X0] : ((~humble(X0) | ~tall(X0)) => (creative(X0) & ~generous(X0))) [input p8]
13. (generous(fred) <~> humble(fred)) <=... | 0 |
Everyone who is both not happy and wise is not humble or not patient and vice versa.
Everyone who is both calm and not patient is curious or not patient.
If mary is brave or not quiet then someone is both funny and humble.
Everyone who is not rich or not happy is both not old and not funny.
If mary is old or not tall t... | John is not brave. | neutral | (![X]:((~happy(X)&wise(X))<=>(~humble(X)|~patient(X))))&
(![X]:((calm(X)&~patient(X))=>(curious(X)|~patient(X))))&
(((brave(mary)|~quiet(mary)))=>(?[X]:((funny(X)&humble(X)))))&
(![X]:((~rich(X)|~happy(X))=>(~old(X)&~funny(X))))&
(((old(mary)|~tall(mary)))=>(?[X]:((~curious(X)&calm(X)))))&
(![X]:((~generous(X)|generous... | ~brave(john) | [] | null | 0 |
If fred is not creative then lucy is not curious. If someone is patient then someone is not generous or not brave and vice versa. If john is strong or not patient then john is either rich or not wise and vice versa. Everyone who is both not kind and funny is both funny and not kind and vice versa. If someone is happy t... | Mary is rich. | neutral | ((~creative(fred))=>(~curious(lucy)))&
((?[X]:(patient(X)))<=>(?[X]:((~generous(X)|~brave(X)))))&
(((strong(john)|~patient(john)))<=>((rich(john)<~>~wise(john))))&
(![X]:((~kind(X)&funny(X))<=>(funny(X)&~kind(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~creative(X)<~>~curious(X)))))&
(![X]:((funny(X)|~patient(X))<=>(wise(X)&~r... | rich(mary) | [] | null | 0 |
If someone is both quiet and not rich then someone is both quiet and not curious and vice versa. Everyone who is curious or generous is both rich and not wise and vice versa. If someone is humble then someone is not old or not tall and vice versa. Everyone who is not happy is either brave or generous. Everyone who is n... | Paul is not calm. | neutral | ((?[X]:((quiet(X)&~rich(X))))<=>(?[X]:((quiet(X)&~curious(X)))))&
(![X]:((curious(X)|generous(X))<=>(rich(X)&~wise(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:(~happy(X)=>(brave(X)<~>generous(X))))&
(![X]:((~brave(X)|funny(X))<=>tall(X)))&
(![X]:((humble(X)|~rich(X))=>~creative(X)))&
(![X]:(~wise(X... | ~calm(paul) | [] | null | 0 |
Everyone who is both wise and not old is both not generous and generous. Everyone who is not kind is both not humble and curious and vice versa. If susan is not brave or calm then someone is not brave and vice versa. Everyone who is funny or not creative is brave or not brave. If someone is not funny or tall then someo... | Alice is generous. | neutral | (![X]:((wise(X)&~old(X))=>(~generous(X)&generous(X))))&
(![X]:(~kind(X)<=>(~humble(X)&curious(X))))&
(((~brave(susan)|calm(susan)))<=>(?[X]:(~brave(X))))&
(![X]:((funny(X)|~creative(X))=>(brave(X)|~brave(X))))&
((?[X]:((~funny(X)|tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((~humble(X)|~strong(X))=>(creative(X)|~strong(X))... | generous(alice) | [] | null | 0 |
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