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 mary is not humble or not creative then lucy is either not generous or kind and vice versa.
If someone is rich or not happy then someone is not wise and vice versa.
Everyone who is both rich and calm is either curious or strong.
If mary is curious or kind then paul is not patient.
Everyone who is not strong or patie... | Alice is not old. | entailment | (((~humble(mary)|~creative(mary)))<=>((~generous(lucy)<~>kind(lucy))))&
((?[X]:((rich(X)|~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:((rich(X)&calm(X))=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X)))&
(((wise(lucy)|funny(lucy)))<=>(?[X]:((happy... | ~old(alice) | [
"p7",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7911729117087459220390969
% SZS output start Proof for 7911729117087459220390969
8. ! [X0] : ((old(X0) | generous(X0)) => (tall(X0) & ~curious(X0))) [input p7]
15. ! [X0] : (~generous(X0) <=> (curious(X0) & humble(X0))) [input p14]
24. ~generous(alice) [input p23]
25. old(alice) [input hy... | 0 |
If someone is both not generous and humble then john is both not wise and not old.
If lucy is old then someone is either curious or not quiet.
Everyone who is not generous is either strong or generous.
If lucy is not brave then someone is not humble and vice versa.
Everyone who is either brave or not calm is not kind o... | Lucy is kind. | contradiction | ((?[X]:((~generous(X)&humble(X))))=>((~wise(john)&~old(john))))&
((old(lucy))=>(?[X]:((curious(X)<~>~quiet(X)))))&
(![X]:(~generous(X)=>(strong(X)<~>generous(X))))&
((~brave(lucy))<=>(?[X]:(~humble(X))))&
(![X]:((brave(X)<~>~calm(X))<=>(~kind(X)|calm(X))))&
(![X]:((humble(X)|curious(X))<=>(humble(X)|wise(X))))&
(((quie... | kind(lucy) | [
"p0",
"p3",
"p4",
"p12",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7727402524774357469476720
% SZS output start Proof for 7727402524774357469476720
1. ? [X0] : (humble(X0) & ~generous(X0)) => (~old(john) & ~wise(john)) [input p0]
4. ~brave(lucy) <=> ? [X0] : ~humble(X0) [input p3]
5. ! [X0] : ((brave(X0) <~> ~calm(X0)) <=> (calm(X0) | ~kind(X0))) [input ... | 0 |
If someone is not curious then mary is not generous and vice versa.
Everyone who is not rich or not patient is generous.
If someone is creative or not happy then someone is either not wise or curious and vice versa.
If someone is not calm or not curious then someone is not tall or wise and vice versa.
If susan is old t... | John is calm. | contradiction | ((?[X]:(~curious(X)))<=>(~generous(mary)))&
(![X]:((~rich(X)|~patient(X))=>generous(X)))&
((?[X]:((creative(X)|~happy(X))))<=>(?[X]:((~wise(X)<~>curious(X)))))&
((?[X]:((~calm(X)|~curious(X))))<=>(?[X]:((~tall(X)|wise(X)))))&
((old(susan))<=>((tall(alice)|~humble(alice))))&
((?[X]:((strong(X)<~>~happy(X))))=>(?[X]:((~s... | calm(john) | [
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8629456656865050153915229
% SZS output start Proof for 8629456656865050153915229
11. ! [X0] : ((curious(X0) | ~wise(X0)) => quiet(X0)) [input p10]
15. ! [X0] : ((~curious(X0) | quiet(X0)) => (~brave(X0) & ~calm(X0))) [input p14]
16. ! [X0] : ((~calm(X0) & ~brave(X0)) <=> (wise(X0) | ~kind... | 0 |
Everyone who is both not wise and wise is both not old and brave and vice versa.
If someone is not wise then lucy is either wise or not kind and vice versa.
Everyone who is generous is not patient.
If someone is both humble and tall then mary is either not quiet or wise.
If paul is both not curious and not patient then... | Fred is strong. | entailment | (![X]:((~wise(X)&wise(X))<=>(~old(X)&brave(X))))&
((?[X]:(~wise(X)))<=>((wise(lucy)<~>~kind(lucy))))&
(![X]:(generous(X)=>~patient(X)))&
((?[X]:((humble(X)&tall(X))))=>((~quiet(mary)<~>wise(mary))))&
(((~curious(paul)&~patient(paul)))<=>((old(lucy)|~humble(lucy))))&
(![X]:((~humble(X)&humble(X))<=>(strong(X)<~>~quiet(X... | strong(fred) | [
"p5",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7647090829932013294974787
% SZS output start Proof for 7647090829932013294974787
6. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (strong(X0) <~> ~quiet(X0))) [input p5]
8. ! [X0] : ((happy(X0) | ~old(X0)) <=> (~quiet(X0) & generous(X0))) [input p7]
10. ? [X0] : (strong(X0) & generous(X0)) <=>... | 0 |
Everyone who is not funny or rich is either strong or tall.
If someone is both patient and not kind then someone is both not generous and not creative and vice versa.
Everyone who is quiet is both not calm and not humble.
Everyone who is funny or not happy is generous or brave and vice versa.
If someone is both patient... | Paul is quiet. | contradiction | (![X]:((~funny(X)|rich(X))=>(strong(X)<~>tall(X))))&
((?[X]:((patient(X)&~kind(X))))<=>(?[X]:((~generous(X)&~creative(X)))))&
(![X]:(quiet(X)=>(~calm(X)&~humble(X))))&
(![X]:((funny(X)|~happy(X))<=>(generous(X)|brave(X))))&
((?[X]:((patient(X)&generous(X))))<=>((patient(alice)<~>~rich(alice))))&
(![X]:((~generous(X)|ge... | quiet(paul) | [
"p2",
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7546767851475573598424956
% SZS output start Proof for 7546767851475573598424956
3. ! [X0] : (quiet(X0) => (~humble(X0) & ~calm(X0))) [input p2]
6. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (curious(X0) <~> ~quiet(X0))) [input p5]
12. ! [X0] : ((funny(X0) | tall(X0)) => ~tall(X0)) [inp... | 0 |
Everyone who is both not happy and old is strong.
If mary is either tall or calm then someone is either strong or happy.
Everyone who is humble is either wise or rich and vice versa.
If someone is calm or creative then alice is not generous or strong and vice versa.
If lucy is funny then alice is both humble and happy ... | Susan is not tall. | entailment | (![X]:((~happy(X)&old(X))=>strong(X)))&
(((tall(mary)<~>calm(mary)))=>(?[X]:((strong(X)<~>happy(X)))))&
(![X]:(humble(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>((~generous(alice)|strong(alice))))&
((funny(lucy))<=>((humble(alice)&happy(alice))))&
(![X]:(~tall(X)<=>calm(X)))&
(((creative(alice)&~gene... | ~tall(susan) | [
"p2",
"p5",
"p10",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8466361812236253379169843
% SZS output start Proof for 8466361812236253379169843
3. ! [X0] : (humble(X0) <=> (wise(X0) <~> rich(X0))) [input p2]
6. ! [X0] : (~tall(X0) <=> calm(X0)) [input p5]
11. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (curious(X0) & ~humble(X0))) [input p10]
13. ! [X0] :... | 0 |
Everyone who is funny is not funny or rich.
Everyone who is not humble or not wise is either patient or not calm.
Everyone who is either not wise or not humble is either not tall or brave and vice versa.
Everyone who is either not kind or not old is not old or not wise.
Everyone who is brave or not strong is tall.
Ever... | Fred is not rich. | entailment | (![X]:(funny(X)=>(~funny(X)|rich(X))))&
(![X]:((~humble(X)|~wise(X))=>(patient(X)<~>~calm(X))))&
(![X]:((~wise(X)<~>~humble(X))<=>(~tall(X)<~>brave(X))))&
(![X]:((~kind(X)<~>~old(X))=>(~old(X)|~wise(X))))&
(![X]:((brave(X)|~strong(X))=>tall(X)))&
(![X]:((patient(X)<~>wise(X))<=>(~quiet(X)<~>~curious(X))))&
((?[X]:((~br... | ~rich(fred) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8088175728428651241988208
% SZS output start Proof for 8088175728428651241988208
2. ! [X0] : ((~wise(X0) | ~humble(X0)) => (patient(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <=> (~tall(X0) <~> brave(X0))) [input p2]
5. ! [X0] : ((~strong(X0) | brave(X0)) => t... | 0 |
Everyone who is both not quiet and old is both wise and kind and vice versa.
Everyone who is not curious is both not kind and not tall and vice versa.
If someone is not kind or not funny then someone is not wise or humble.
If someone is both calm and generous then susan is either not quiet or not happy.
If fred is not ... | Fred is not humble. | contradiction | (![X]:((~quiet(X)&old(X))<=>(wise(X)&kind(X))))&
(![X]:(~curious(X)<=>(~kind(X)&~tall(X))))&
((?[X]:((~kind(X)|~funny(X))))=>(?[X]:((~wise(X)|humble(X)))))&
((?[X]:((calm(X)&generous(X))))=>((~quiet(susan)<~>~happy(susan))))&
(((~old(fred)|humble(fred)))=>(?[X]:((generous(X)|~calm(X)))))&
((?[X]:((curious(X)|humble(X))... | ~humble(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8856011106434928383728402
% SZS output start Proof for 8856011106434928383728402
17. humble(fred) [input p16]
24. ~humble(fred) [input hypothesis]
141. humble(fred) [cnf transformation 17]
153. ~humble(fred) [cnf transformation 24]
187. 8 <=> humble(fred) [avatar definition]
335. 8 [avata... | 0 |
Everyone who is not brave is either not calm or happy.
Everyone who is strong is both rich and tall and vice versa.
If someone is either not curious or kind then someone is wise or strong.
Everyone who is rich is tall or not quiet.
Everyone who is tall or not calm is either calm or generous and vice versa.
Everyone who... | Mary is calm. | contradiction | (![X]:(~brave(X)=>(~calm(X)<~>happy(X))))&
(![X]:(strong(X)<=>(rich(X)&tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>(?[X]:((wise(X)|strong(X)))))&
(![X]:(rich(X)=>(tall(X)|~quiet(X))))&
(![X]:((tall(X)|~calm(X))<=>(calm(X)<~>generous(X))))&
(![X]:((tall(X)&creative(X))=>strong(X)))&
(![X]:((~curious(X)&happy(X))=>(ta... | calm(mary) | [
"p1",
"p7",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 46900173271097389276589
% SZS output start Proof for 46900173271097389276589
2. ! [X0] : (strong(X0) <=> (tall(X0) & rich(X0))) [input p1]
8. ! [X0] : ((~generous(X0) | strong(X0)) <=> (tall(X0) <~> ~curious(X0))) [input p7]
11. ! [X0] : ((~calm(X0) | ~strong(X0)) => (creative(X0) & curio... | 0 |
Everyone who is creative or not curious is both not old and not generous and vice versa. Everyone who is both calm and not patient is both not patient and not wise. Everyone who is either old or humble is either not creative or happy. If someone is generous or not calm then paul is calm. Everyone who is either not brav... | Alice is rich. | neutral | (![X]:((creative(X)|~curious(X))<=>(~old(X)&~generous(X))))&
(![X]:((calm(X)&~patient(X))=>(~patient(X)&~wise(X))))&
(![X]:((old(X)<~>humble(X))=>(~creative(X)<~>happy(X))))&
((?[X]:((generous(X)|~calm(X))))=>(calm(paul)))&
(![X]:((~brave(X)<~>~rich(X))<=>~funny(X)))&
(![X]:(funny(X)<=>tall(X)))&
(((~wise(alice)|strong... | rich(alice) | [] | null | 0 |
Everyone who is creative is not humble or not funny and vice versa.
Everyone who is not curious or quiet is both not curious and quiet and vice versa.
If someone is either humble or not old then someone is not happy or happy.
Everyone who is not funny is generous or funny.
Everyone who is either quiet or not quiet is b... | Susan is quiet. | entailment | (![X]:(creative(X)<=>(~humble(X)|~funny(X))))&
(![X]:((~curious(X)|quiet(X))<=>(~curious(X)&quiet(X))))&
((?[X]:((humble(X)<~>~old(X))))=>(?[X]:((~happy(X)|happy(X)))))&
(![X]:(~funny(X)=>(generous(X)|funny(X))))&
(![X]:((quiet(X)<~>~quiet(X))=>(kind(X)&rich(X))))&
((~happy(john))<=>(?[X]:((~humble(X)|brave(X)))))&
((~... | quiet(susan) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 633396751512026246465737
% SZS output start Proof for 633396751512026246465737
1. ! [X0] : (creative(X0) <=> (~funny(X0) | ~humble(X0))) [input p0]
4. ! [X0] : (~funny(X0) => (funny(X0) | generous(X0))) [input p3]
5. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (rich(X0) & kind(X0))) [input p4... | 0 |
If someone is both not patient and wise then someone is both not creative and humble.
If someone is both not generous and brave then alice is old.
If fred is kind or generous then paul is quiet or curious and vice versa.
Everyone who is either kind or curious is both funny and not curious.
If susan is both not strong a... | Mary is old. | contradiction | ((?[X]:((~patient(X)&wise(X))))=>(?[X]:((~creative(X)&humble(X)))))&
((?[X]:((~generous(X)&brave(X))))=>(old(alice)))&
(((kind(fred)|generous(fred)))<=>((quiet(paul)|curious(paul))))&
(![X]:((kind(X)<~>curious(X))=>(funny(X)&~curious(X))))&
(((~strong(susan)&~brave(susan)))=>(~rich(susan)))&
(![X]:((curious(X)<~>~curio... | old(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2696621575331279633296240
% SZS output start Proof for 2696621575331279633296240
6. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~generous(X0) & ~old(X0))) [input p5]
23. old(mary) [input hypothesis]
44. ! [X0] : ((((curious(X0) | ~curious(X0)) & (~curious(X0) | curious(X0))) | (generous... | 0 |
Everyone who is both generous and not wise is either generous or not creative. Everyone who is either not brave or not generous is both rich and strong. If lucy is curious or wise then someone is not kind or generous and vice versa. If someone is generous or rich then mary is both wise and creative and vice versa. Ever... | Lucy is old. | neutral | (![X]:((generous(X)&~wise(X))=>(generous(X)<~>~creative(X))))&
(![X]:((~brave(X)<~>~generous(X))=>(rich(X)&strong(X))))&
(((curious(lucy)|wise(lucy)))<=>(?[X]:((~kind(X)|generous(X)))))&
((?[X]:((generous(X)|rich(X))))<=>((wise(mary)&creative(mary))))&
(![X]:((~creative(X)<~>~strong(X))<=>(strong(X)&~brave(X))))&
(![X]... | old(lucy) | [] | null | 0 |
Everyone who is either quiet or funny is quiet or not patient and vice versa. Everyone who is not happy is not wise and vice versa. Everyone who is either generous or tall is not patient and vice versa. Everyone who is both not brave and humble is either not curious or old. Everyone who is not patient or not generous i... | Alice is wise. | contradiction | (![X]:((quiet(X)<~>funny(X))<=>(quiet(X)|~patient(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((generous(X)<~>tall(X))<=>~patient(X)))&
(![X]:((~brave(X)&humble(X))=>(~curious(X)<~>old(X))))&
(![X]:((~patient(X)|~generous(X))<=>(generous(X)&~quiet(X))))&
((tall(susan))=>(?[X]:((calm(X)<~>kind(X)))))&
(((~generous(susan... | wise(alice) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5599345992833444796243525
% SZS output start Proof for 5599345992833444796243525
5. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> (~quiet(X0) & generous(X0))) [input p4]
8. ! [X0] : ((~generous(X0) & strong(X0)) <=> wise(X0)) [input p7]
25. wise(alice) [input hypothesis]
42. ! [X0] : (((~g... | 0 |
Everyone who is both patient and not strong is either not wise or not strong and vice versa.
Everyone who is either wise or not patient is curious or not calm.
If someone is both wise and not curious then someone is either curious or humble.
Everyone who is either patient or not kind is both not brave and not creative.... | Lucy is not tall. | contradiction | (![X]:((patient(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((wise(X)<~>~patient(X))=>(curious(X)|~calm(X))))&
((?[X]:((wise(X)&~curious(X))))=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((patient(X)<~>~kind(X))=>(~brave(X)&~creative(X))))&
(((humble(susan)&happy(susan)))<=>(?[X]:((calm(X)|~curious(X)))))&
(![X]:(... | ~tall(lucy) | [
"p0",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 605563949723476227914886
% SZS output start Proof for 605563949723476227914886
1. ! [X0] : ((~strong(X0) & patient(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p0]
8. ? [X0] : (~funny(X0) | brave(X0)) => (old(john) & ~strong(john)) [input p7]
10. ! [X0] : ((~strong(X0) <~> brave(X0)) => (... | 0 |
Everyone who is both kind and not brave is not quiet and vice versa.
Everyone who is either not funny or not curious is not funny or rich.
Everyone who is both not tall and not old is strong and vice versa.
If someone is humble then someone is humble or happy and vice versa.
Everyone who is not curious is either calm o... | Paul is not tall. | contradiction | (![X]:((kind(X)&~brave(X))<=>~quiet(X)))&
(![X]:((~funny(X)<~>~curious(X))=>(~funny(X)|rich(X))))&
(![X]:((~tall(X)&~old(X))<=>strong(X)))&
((?[X]:(humble(X)))<=>(?[X]:((humble(X)|happy(X)))))&
(![X]:(~curious(X)<=>(calm(X)<~>~calm(X))))&
(((~quiet(paul)<~>quiet(paul)))=>((~rich(paul)&humble(paul))))&
(![X]:(funny(X)<=... | ~tall(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6268013075016182997319904
% SZS output start Proof for 6268013075016182997319904
10. ! [X0] : (tall(X0) <=> (~tall(X0) | ~calm(X0))) [input p9]
21. ~tall(paul) [input hypothesis]
48. ! [X0] : ((tall(X0) | (tall(X0) & calm(X0))) & ((~tall(X0) | ~calm(X0)) | ~tall(X0))) [nnf transformation ... | 0 |
If lucy is either kind or rich then fred is happy or brave.
If paul is brave then someone is both calm and patient and vice versa.
Everyone who is not tall is not kind and vice versa.
If someone is either not curious or not strong then john is either not happy or wise.
Everyone who is not happy or kind is both not rich... | John is not old. | neutral | (((kind(lucy)<~>rich(lucy)))=>((happy(fred)|brave(fred))))&
((brave(paul))<=>(?[X]:((calm(X)&patient(X)))))&
(![X]:(~tall(X)<=>~kind(X)))&
((?[X]:((~curious(X)<~>~strong(X))))=>((~happy(john)<~>wise(john))))&
(![X]:((~happy(X)|kind(X))<=>(~rich(X)&happy(X))))&
(((~tall(susan)|~old(susan)))=>(?[X]:((~creative(X)|old(X))... | ~old(john) | [] | null | 0 |
Everyone who is not generous or not calm is both not old and humble. Everyone who is both tall and brave is humble and vice versa. Everyone who is either not happy or funny is both rich and patient and vice versa. If lucy is not calm or wise then lucy is either not quiet or strong. Everyone who is wise is old and vice ... | Alice is patient. | entailment | (![X]:((~generous(X)|~calm(X))=>(~old(X)&humble(X))))&
(![X]:((tall(X)&brave(X))<=>humble(X)))&
(![X]:((~happy(X)<~>funny(X))<=>(rich(X)&patient(X))))&
(((~calm(lucy)|wise(lucy)))=>((~quiet(lucy)<~>strong(lucy))))&
(![X]:(wise(X)<=>old(X)))&
(![X]:((rich(X)<~>kind(X))<=>(~generous(X)<~>old(X))))&
(![X]:((kind(X)<~>~tal... | patient(alice) | [
"p0",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5962209759866180799816309
% SZS output start Proof for 5962209759866180799816309
1. ! [X0] : ((~calm(X0) | ~generous(X0)) => (humble(X0) & ~old(X0))) [input p0]
9. ~generous(alice) <=> ~rich(alice) [input p8]
13. ! [X0] : ((~calm(X0) & patient(X0)) <=> rich(X0)) [input p12]
15. ! [X0] : (... | 0 |
If alice is quiet then john is not brave or humble and vice versa.
Everyone who is both not wise and quiet is not calm.
Everyone who is not patient or not brave is not curious or not kind and vice versa.
If paul is not quiet then someone is curious and vice versa.
Everyone who is either not kind or curious is old or ri... | John is not quiet. | neutral | ((quiet(alice))<=>((~brave(john)|humble(john))))&
(![X]:((~wise(X)&quiet(X))=>~calm(X)))&
(![X]:((~patient(X)|~brave(X))<=>(~curious(X)|~kind(X))))&
((~quiet(paul))<=>(?[X]:(curious(X))))&
(![X]:((~kind(X)<~>curious(X))=>(old(X)|rich(X))))&
(((~quiet(susan)<~>brave(susan)))=>(?[X]:((~rich(X)&~kind(X)))))&
((wise(alice)... | ~quiet(john) | [] | null | 0 |
If someone is curious then someone is either not funny or not quiet and vice versa.
Everyone who is not quiet or not rich is either wise or not happy.
If paul is both tall and not old then someone is brave or creative.
Everyone who is both not strong and not creative is not strong or not tall and vice versa.
Everyone w... | Lucy is kind. | neutral | ((?[X]:(curious(X)))<=>(?[X]:((~funny(X)<~>~quiet(X)))))&
(![X]:((~quiet(X)|~rich(X))=>(wise(X)<~>~happy(X))))&
(((tall(paul)&~old(paul)))=>(?[X]:((brave(X)|creative(X)))))&
(![X]:((~strong(X)&~creative(X))<=>(~strong(X)|~tall(X))))&
(![X]:(calm(X)=>(~creative(X)|old(X))))&
((?[X]:((~quiet(X)<~>calm(X))))=>((old(fred)|... | kind(lucy) | [] | null | 0 |
Everyone who is either not brave or happy is both calm and not calm and vice versa.
If someone is strong or not generous then alice is brave or generous.
If someone is not old or creative then paul is kind or not tall and vice versa.
Everyone who is calm is either quiet or not kind.
If lucy is both not creative and not... | Susan is not happy. | contradiction | (![X]:((~brave(X)<~>happy(X))<=>(calm(X)&~calm(X))))&
((?[X]:((strong(X)|~generous(X))))=>((brave(alice)|generous(alice))))&
((?[X]:((~old(X)|creative(X))))<=>((kind(paul)|~tall(paul))))&
(![X]:(calm(X)=>(quiet(X)<~>~kind(X))))&
(((~creative(lucy)&~strong(lucy)))=>(?[X]:((rich(X)|humble(X)))))&
(![X]:((~funny(X)<~>funn... | ~happy(susan) | [
"p3",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2499134336506270042404946
% SZS output start Proof for 2499134336506270042404946
4. ! [X0] : (calm(X0) => (quiet(X0) <~> ~kind(X0))) [input p3]
6. ! [X0] : ((~funny(X0) <~> funny(X0)) => (~old(X0) | ~patient(X0))) [input p5]
9. (~patient(john) | ~rich(john)) => (~brave(john) & ~quiet(john... | 0 |
If someone is both not creative and not happy then alice is both kind and humble.
If mary is not kind then lucy is both not patient and not tall and vice versa.
Everyone who is not strong is not curious and vice versa.
Everyone who is not happy or not brave is both patient and not strong and vice versa.
If someone is e... | Mary is brave. | neutral | ((?[X]:((~creative(X)&~happy(X))))=>((kind(alice)&humble(alice))))&
((~kind(mary))<=>((~patient(lucy)&~tall(lucy))))&
(![X]:(~strong(X)<=>~curious(X)))&
(![X]:((~happy(X)|~brave(X))<=>(patient(X)&~strong(X))))&
((?[X]:((funny(X)<~>wise(X))))=>((~tall(lucy)|quiet(lucy))))&
(![X]:(~happy(X)=>(~calm(X)&calm(X))))&
(((~old... | brave(mary) | [] | null | 0 |
Everyone who is generous or happy is both rich and curious.
Everyone who is either funny or not kind is strong.
If someone is wise then lucy is calm or not wise and vice versa.
If alice is kind or quiet then susan is happy.
Everyone who is not wise is both generous and funny and vice versa.
Everyone who is not generous... | Alice is not rich. | contradiction | (![X]:((generous(X)|happy(X))=>(rich(X)&curious(X))))&
(![X]:((funny(X)<~>~kind(X))=>strong(X)))&
((?[X]:(wise(X)))<=>((calm(lucy)|~wise(lucy))))&
(((kind(alice)|quiet(alice)))=>(happy(susan)))&
(![X]:(~wise(X)<=>(generous(X)&funny(X))))&
(![X]:(~generous(X)=>(~happy(X)&~patient(X))))&
((?[X]:((humble(X)&quiet(X))))=>(... | ~rich(alice) | [
"p0",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 115655233502430710659546
% SZS output start Proof for 115655233502430710659546
1. ! [X0] : ((happy(X0) | generous(X0)) => (curious(X0) & rich(X0))) [input p0]
10. ! [X0] : ((~tall(X0) | humble(X0)) => (happy(X0) & curious(X0))) [input p9]
13. (~humble(alice) | strong(alice)) => ? [X0] : (... | 0 |
If mary is both not tall and not kind then someone is happy or old. If someone is either not rich or not calm then mary is not humble or calm. Everyone who is not generous is both tall and happy. Everyone who is quiet is either not humble or curious and vice versa. Everyone who is curious or not happy is both generous ... | Susan is tall. | entailment | (((~tall(mary)&~kind(mary)))=>(?[X]:((happy(X)|old(X)))))&
((?[X]:((~rich(X)<~>~calm(X))))=>((~humble(mary)|calm(mary))))&
(![X]:(~generous(X)=>(tall(X)&happy(X))))&
(![X]:(quiet(X)<=>(~humble(X)<~>curious(X))))&
(![X]:((curious(X)|~happy(X))<=>(generous(X)&tall(X))))&
(![X]:((~humble(X)<~>generous(X))<=>(old(X)|genero... | tall(susan) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 493945529453879410673847
% SZS output start Proof for 493945529453879410673847
5. ! [X0] : ((~happy(X0) | curious(X0)) <=> (tall(X0) & generous(X0))) [input p4]
7. ! [X0] : (happy(X0) <=> curious(X0)) [input p6]
23. ~tall(susan) [input hypothesis]
39. ! [X0] : (((~happy(X0) | curious(X0))... | 0 |
Everyone who is not tall is not happy.
If mary is either not strong or not patient then john is both humble and brave.
If someone is wise or not tall then someone is both not patient and not happy and vice versa.
If someone is either not strong or not calm then lucy is generous or rich.
If someone is not humble or tall... | Lucy is happy. | contradiction | (![X]:(~tall(X)=>~happy(X)))&
(((~strong(mary)<~>~patient(mary)))=>((humble(john)&brave(john))))&
((?[X]:((wise(X)|~tall(X))))<=>(?[X]:((~patient(X)&~happy(X)))))&
((?[X]:((~strong(X)<~>~calm(X))))=>((generous(lucy)|rich(lucy))))&
((?[X]:((~humble(X)|tall(X))))<=>(?[X]:((~quiet(X)&~creative(X)))))&
((?[X]:((~creative(X... | happy(lucy) | [
"p0",
"p8",
"p9",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7938676148068219517105587
% SZS output start Proof for 7938676148068219517105587
1. ! [X0] : (~tall(X0) => ~happy(X0)) [input p0]
9. ! [X0] : ((~funny(X0) <~> humble(X0)) <=> (~happy(X0) | curious(X0))) [input p8]
10. ! [X0] : ((funny(X0) & curious(X0)) <=> (~humble(X0) | ~old(X0))) [inpu... | 0 |
If someone is happy or curious then someone is not rich or old.
Everyone who is brave or happy is both not quiet and not humble and vice versa.
Everyone who is not rich is either tall or rich and vice versa.
Everyone who is either humble or not rich is not old and vice versa.
Everyone who is either rich or not wise is ... | Lucy is not happy. | neutral | ((?[X]:((happy(X)|curious(X))))=>(?[X]:((~rich(X)|old(X)))))&
(![X]:((brave(X)|happy(X))<=>(~quiet(X)&~humble(X))))&
(![X]:(~rich(X)<=>(tall(X)<~>rich(X))))&
(![X]:((humble(X)<~>~rich(X))<=>~old(X)))&
(![X]:((rich(X)<~>~wise(X))=>happy(X)))&
(![X]:(happy(X)=>(rich(X)<~>~quiet(X))))&
(![X]:(patient(X)=>~quiet(X)))&
((?[... | ~happy(lucy) | [] | null | 0 |
Everyone who is not patient or not kind is either kind or not patient and vice versa.
If someone is not kind or quiet then lucy is either old or not generous.
Everyone who is both not creative and not generous is creative and vice versa.
If someone is not rich then someone is either curious or not calm.
Everyone who is... | Susan is not tall. | contradiction | (![X]:((~patient(X)|~kind(X))<=>(kind(X)<~>~patient(X))))&
((?[X]:((~kind(X)|quiet(X))))=>((old(lucy)<~>~generous(lucy))))&
(![X]:((~creative(X)&~generous(X))<=>creative(X)))&
((?[X]:(~rich(X)))=>(?[X]:((curious(X)<~>~calm(X)))))&
(![X]:(patient(X)<=>~quiet(X)))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((~funny(john)<~>~quie... | ~tall(susan) | [
"p0",
"p2",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 461602963258628453464616
% SZS output start Proof for 461602963258628453464616
1. ! [X0] : ((~kind(X0) | ~patient(X0)) <=> (kind(X0) <~> ~patient(X0))) [input p0]
3. ! [X0] : ((~generous(X0) & ~creative(X0)) <=> creative(X0)) [input p2]
7. ! [X0] : ((patient(X0) <~> curious(X0)) <=> (humb... | 0 |
Everyone who is quiet or not kind is old or tall. Everyone who is creative is either patient or wise and vice versa. Everyone who is both not quiet and not old is creative or not happy and vice versa. Everyone who is not happy is not brave and vice versa. If someone is both not old and kind then someone is not brave or... | Paul is wise. | neutral | (![X]:((quiet(X)|~kind(X))=>(old(X)|tall(X))))&
(![X]:(creative(X)<=>(patient(X)<~>wise(X))))&
(![X]:((~quiet(X)&~old(X))<=>(creative(X)|~happy(X))))&
(![X]:(~happy(X)<=>~brave(X)))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~brave(X)|~wise(X)))))&
((?[X]:((~kind(X)&brave(X))))=>(?[X]:((calm(X)&~rich(X)))))&
((?[X]:((humble... | wise(paul) | [] | null | 0 |
Everyone who is either not quiet or not funny is either patient or not funny.
If someone is rich or humble then susan is patient and vice versa.
If someone is either brave or rich then susan is strong and vice versa.
Everyone who is not calm or not kind is old.
Everyone who is not strong or not patient is not old and v... | Alice is quiet. | neutral | (![X]:((~quiet(X)<~>~funny(X))=>(patient(X)<~>~funny(X))))&
((?[X]:((rich(X)|humble(X))))<=>(patient(susan)))&
((?[X]:((brave(X)<~>rich(X))))<=>(strong(susan)))&
(![X]:((~calm(X)|~kind(X))=>old(X)))&
(![X]:((~strong(X)|~patient(X))<=>~old(X)))&
(![X]:(brave(X)=>(patient(X)|strong(X))))&
(![X]:(~brave(X)<=>(curious(X)|~... | quiet(alice) | [] | null | 0 |
If someone is either wise or not rich then someone is creative or not rich. If john is brave or not old then lucy is not quiet. If paul is both curious and not funny then paul is both creative and wise and vice versa. Everyone who is both not rich and not kind is humble. If susan is quiet then someone is not patient or... | Mary is strong. | neutral | ((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((creative(X)|~rich(X)))))&
(((brave(john)|~old(john)))=>(~quiet(lucy)))&
(((curious(paul)&~funny(paul)))<=>((creative(paul)&wise(paul))))&
(![X]:((~rich(X)&~kind(X))=>humble(X)))&
((quiet(susan))=>(?[X]:((~patient(X)|~strong(X)))))&
(![X]:((~rich(X)|generous(X))=>(happy(X)<~>creat... | strong(mary) | [] | null | 0 |
Everyone who is rich or patient is both not tall and strong. If fred is not humble then someone is both happy and patient. Everyone who is both not funny and not patient is both not kind and old and vice versa. Everyone who is not humble is both funny and curious. Everyone who is not generous or funny is both not creat... | John is tall. | contradiction | (![X]:((rich(X)|patient(X))=>(~tall(X)&strong(X))))&
((~humble(fred))=>(?[X]:((happy(X)&patient(X)))))&
(![X]:((~funny(X)&~patient(X))<=>(~kind(X)&old(X))))&
(![X]:(~humble(X)=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(!... | tall(john) | [
"p0",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7042737902982244522136155
% SZS output start Proof for 7042737902982244522136155
1. ! [X0] : ((patient(X0) | rich(X0)) => (strong(X0) & ~tall(X0))) [input p0]
5. ! [X0] : ((funny(X0) | ~generous(X0)) => (~quiet(X0) & ~creative(X0))) [input p4]
9. ! [X0] : (~quiet(X0) => patient(X0)) [inpu... | 0 |
Everyone who is either not quiet or not calm is tall or not rich and vice versa.
If mary is humble then susan is generous or creative.
If someone is either patient or quiet then john is not tall or not curious.
If paul is brave then paul is both not wise and not calm and vice versa.
Everyone who is wise is both not wis... | John is not kind. | contradiction | (![X]:((~quiet(X)<~>~calm(X))<=>(tall(X)|~rich(X))))&
((humble(mary))=>((generous(susan)|creative(susan))))&
((?[X]:((patient(X)<~>quiet(X))))=>((~tall(john)|~curious(john))))&
((brave(paul))<=>((~wise(paul)&~calm(paul))))&
(![X]:(wise(X)<=>(~wise(X)&~calm(X))))&
((?[X]:(~strong(X)))=>(?[X]:((wise(X)<~>rich(X)))))&
(![... | ~kind(john) | [
"p4",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 450450096145061703604396
% SZS output start Proof for 450450096145061703604396
5. ! [X0] : (wise(X0) <=> (~calm(X0) & ~wise(X0))) [input p4]
8. ? [X0] : (old(X0) & curious(X0)) <=> ~kind(john) [input p7]
13. ? [X0] : (~quiet(X0) | curious(X0)) <=> ~calm(lucy) [input p12]
21. ~kind(john) [... | 0 |
If someone is either happy or strong then someone is both brave and rich and vice versa.
Everyone who is either not wise or brave is either funny or patient and vice versa.
Everyone who is humble is not patient and vice versa.
If someone is either not creative or calm then someone is both old and happy.
If someone is e... | Alice is not quiet. | entailment | ((?[X]:((happy(X)<~>strong(X))))<=>(?[X]:((brave(X)&rich(X)))))&
(![X]:((~wise(X)<~>brave(X))<=>(funny(X)<~>patient(X))))&
(![X]:(humble(X)<=>~patient(X)))&
((?[X]:((~creative(X)<~>calm(X))))=>(?[X]:((old(X)&happy(X)))))&
((?[X]:((happy(X)<~>~calm(X))))=>(?[X]:((strong(X)<~>generous(X)))))&
(![X]:((funny(X)<~>brave(X))... | ~quiet(alice) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6154639429800561901986748
% SZS output start Proof for 6154639429800561901986748
2. ! [X0] : ((~wise(X0) <~> brave(X0)) <=> (funny(X0) <~> patient(X0))) [input p1]
3. ! [X0] : (humble(X0) <=> ~patient(X0)) [input p2]
6. ! [X0] : ((funny(X0) <~> brave(X0)) => funny(X0)) [input p5]
7. ! [X0... | 0 |
If susan is not curious or curious then someone is both tall and not rich.
If susan is not rich then mary is generous or curious.
If john is both not happy and not curious then alice is not humble.
Everyone who is not humble is both patient and tall and vice versa.
Everyone who is either curious or generous is both not... | Susan is quiet. | neutral | (((~curious(susan)|curious(susan)))=>(?[X]:((tall(X)&~rich(X)))))&
((~rich(susan))=>((generous(mary)|curious(mary))))&
(((~happy(john)&~curious(john)))=>(~humble(alice)))&
(![X]:(~humble(X)<=>(patient(X)&tall(X))))&
(![X]:((curious(X)<~>generous(X))<=>(~strong(X)&brave(X))))&
(![X]:(generous(X)=>(~old(X)<~>curious(X)))... | quiet(susan) | [] | null | 0 |
Everyone who is brave or wise is both not humble and humble.
If someone is humble then someone is rich or happy.
If someone is kind or quiet then fred is not kind or not funny and vice versa.
If mary is strong or not curious then someone is both curious and not old and vice versa.
If someone is either not humble or cal... | John is not funny. | neutral | (![X]:((brave(X)|wise(X))=>(~humble(X)&humble(X))))&
((?[X]:(humble(X)))=>(?[X]:((rich(X)|happy(X)))))&
((?[X]:((kind(X)|quiet(X))))<=>((~kind(fred)|~funny(fred))))&
(((strong(mary)|~curious(mary)))<=>(?[X]:((curious(X)&~old(X)))))&
((?[X]:((~humble(X)<~>calm(X))))<=>((creative(mary)|brave(mary))))&
((?[X]:((old(X)|~br... | ~funny(john) | [] | null | 0 |
Everyone who is either old or calm is quiet or not tall and vice versa.
If lucy is strong then susan is both curious and patient and vice versa.
Everyone who is either curious or not strong is either not funny or not calm and vice versa.
Everyone who is creative or wise is both brave and not generous and vice versa.
If... | Lucy is not curious. | neutral | (![X]:((old(X)<~>calm(X))<=>(quiet(X)|~tall(X))))&
((strong(lucy))<=>((curious(susan)&patient(susan))))&
(![X]:((curious(X)<~>~strong(X))<=>(~funny(X)<~>~calm(X))))&
(![X]:((creative(X)|wise(X))<=>(brave(X)&~generous(X))))&
(((curious(mary)&~quiet(mary)))=>(?[X]:((old(X)|~strong(X)))))&
(((~tall(lucy)<~>tall(lucy)))<=>... | ~curious(lucy) | [] | null | 0 |
If alice is both creative and not funny then someone is not patient or generous and vice versa.
Everyone who is both patient and brave is not tall or generous and vice versa.
Everyone who is not curious or patient is not wise or brave and vice versa.
Everyone who is both quiet and funny is both patient and wise and vic... | Fred is not brave. | contradiction | (((creative(alice)&~funny(alice)))<=>(?[X]:((~patient(X)|generous(X)))))&
(![X]:((patient(X)&brave(X))<=>(~tall(X)|generous(X))))&
(![X]:((~curious(X)|patient(X))<=>(~wise(X)|brave(X))))&
(![X]:((quiet(X)&funny(X))<=>(patient(X)&wise(X))))&
(![X]:((creative(X)|wise(X))=>brave(X)))&
(((tall(alice)<~>~generous(alice)))=>... | ~brave(fred) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4831729176547068315775134
% SZS output start Proof for 4831729176547068315775134
5. ! [X0] : ((wise(X0) | creative(X0)) => brave(X0)) [input p4]
7. ! [X0] : ((quiet(X0) & brave(X0)) <=> (~wise(X0) <~> wise(X0))) [input p6]
24. ~brave(fred) [input hypothesis]
27. ! [X0] : (brave(X0) | (~wi... | 0 |
If someone is either not humble or not patient then someone is calm and vice versa.
If someone is either not strong or not patient then paul is both generous and rich and vice versa.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or not tall.
Everyone who is br... | Lucy is not creative. | entailment | ((?[X]:((~humble(X)<~>~patient(X))))<=>(?[X]:(calm(X))))&
((?[X]:((~strong(X)<~>~patient(X))))<=>((generous(paul)&rich(paul))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generou... | ~creative(lucy) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 410560466285005589258783
% SZS output start Proof for 410560466285005589258783
1. ? [X0] : (~humble(X0) <~> ~patient(X0)) <=> ? [X0] : calm(X0) [input p0]
2. ? [X0] : (~strong(X0) <~> ~patient(X0)) <=> (rich(paul) & generous(paul)) [input p1]
5. ! [X0] : (brave(X0) <=> (~generous(X0) <~> ... | 0 |
Everyone who is humble is patient and vice versa.
Everyone who is either not tall or not kind is not funny or humble.
Everyone who is rich is both wise and not curious and vice versa.
If someone is rich or tall then someone is either not creative or not tall and vice versa.
Everyone who is either happy or not patient i... | John is not tall. | neutral | (![X]:(humble(X)<=>patient(X)))&
(![X]:((~tall(X)<~>~kind(X))=>(~funny(X)|humble(X))))&
(![X]:(rich(X)<=>(wise(X)&~curious(X))))&
((?[X]:((rich(X)|tall(X))))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((happy(X)<~>~patient(X))<=>(~happy(X)|creative(X))))&
((funny(john))<=>(?[X]:((~rich(X)<~>rich(X)))))&
((~brave(fred... | ~tall(john) | [] | null | 0 |
If alice is not tall or funny then mary is not funny and vice versa. If someone is either not wise or not rich then susan is quiet. If someone is not quiet or tall then someone is kind or wise and vice versa. Everyone who is curious or generous is both not rich and not humble and vice versa. If someone is both not happ... | Alice is not generous. | neutral | (((~tall(alice)|funny(alice)))<=>(~funny(mary)))&
((?[X]:((~wise(X)<~>~rich(X))))=>(quiet(susan)))&
((?[X]:((~quiet(X)|tall(X))))<=>(?[X]:((kind(X)|wise(X)))))&
(![X]:((curious(X)|generous(X))<=>(~rich(X)&~humble(X))))&
((?[X]:((~happy(X)&happy(X))))=>((~curious(john)|funny(john))))&
(![X]:((~creative(X)|~patient(X))=>... | ~generous(alice) | [] | null | 0 |
Everyone who is not humble is either not generous or old.
If someone is not curious then mary is both tall and not curious.
Everyone who is brave is not calm.
Everyone who is either not calm or creative is not patient or tall and vice versa.
If someone is brave then paul is either not patient or funny.
Everyone who is ... | John is rich. | entailment | (![X]:(~humble(X)=>(~generous(X)<~>old(X))))&
((?[X]:(~curious(X)))=>((tall(mary)&~curious(mary))))&
(![X]:(brave(X)=>~calm(X)))&
(![X]:((~calm(X)<~>creative(X))<=>(~patient(X)|tall(X))))&
((?[X]:(brave(X)))=>((~patient(paul)<~>funny(paul))))&
(![X]:(funny(X)<=>(patient(X)|~patient(X))))&
(![X]:((~happy(X)<~>old(X))<=>... | rich(john) | [
"p1",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 458526702605596383344244
% SZS output start Proof for 458526702605596383344244
2. ? [X0] : ~curious(X0) => (~curious(mary) & tall(mary)) [input p1]
9. ? [X0] : (tall(X0) | happy(X0)) => (~tall(mary) & ~patient(mary)) [input p8]
10. ! [X0] : (curious(X0) <=> (rich(X0) & ~creative(X0))) [in... | 0 |
If someone is either wise or patient then lucy is both not strong and not generous.
If someone is not patient then lucy is either wise or not patient and vice versa.
Everyone who is both not generous and humble is either not curious or quiet and vice versa.
Everyone who is both not strong and not happy is creative and ... | John is not rich. | entailment | ((?[X]:((wise(X)<~>patient(X))))=>((~strong(lucy)&~generous(lucy))))&
((?[X]:(~patient(X)))<=>((wise(lucy)<~>~patient(lucy))))&
(![X]:((~generous(X)&humble(X))<=>(~curious(X)<~>quiet(X))))&
(![X]:((~strong(X)&~happy(X))<=>creative(X)))&
(((creative(lucy)|~rich(lucy)))=>(?[X]:((brave(X)&~funny(X)))))&
(![X]:((creative(X... | ~rich(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8986785839258379028350957
% SZS output start Proof for 8986785839258379028350957
16. humble(john) & ~rich(john) [input p15]
23. rich(john) [input hypothesis]
126. ~rich(john) [cnf transformation 16]
137. rich(john) [cnf transformation 23]
344. $false [subsumption resolution 137,126]
% SZS... | 0 |
If someone is creative then someone is either tall or quiet.
Everyone who is happy is either funny or patient and vice versa.
Everyone who is tall is rich.
If john is either not patient or kind then someone is not creative and vice versa.
Everyone who is patient is both not curious and strong and vice versa.
Everyone w... | John is calm. | neutral | ((?[X]:(creative(X)))=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:(happy(X)<=>(funny(X)<~>patient(X))))&
(![X]:(tall(X)=>rich(X)))&
(((~patient(john)<~>kind(john)))<=>(?[X]:(~creative(X))))&
(![X]:(patient(X)<=>(~curious(X)&strong(X))))&
(![X]:(strong(X)<=>happy(X)))&
((curious(paul))=>(?[X]:(~happy(X))))&
((?[X]:((funny(X)... | calm(john) | [] | null | 0 |
Everyone who is either creative or calm is either not curious or old and vice versa. Everyone who is not creative is either not happy or not wise. Everyone who is not happy or not curious is kind or humble. Everyone who is kind or not tall is not wise or patient. If paul is either not tall or tall then paul is not tall... | Alice is happy. | neutral | (![X]:((creative(X)<~>calm(X))<=>(~curious(X)<~>old(X))))&
(![X]:(~creative(X)=>(~happy(X)<~>~wise(X))))&
(![X]:((~happy(X)|~curious(X))=>(kind(X)|humble(X))))&
(![X]:((kind(X)|~tall(X))=>(~wise(X)|patient(X))))&
(((~tall(paul)<~>tall(paul)))=>((~tall(paul)|~patient(paul))))&
(![X]:((~kind(X)&~old(X))<=>(curious(X)<~>~... | happy(alice) | [] | null | 0 |
Everyone who is happy or generous is either wise or brave and vice versa.
If someone is either not happy or rich then mary is old and vice versa.
If john is both not humble and humble then someone is either not wise or curious.
Everyone who is either creative or patient is either creative or not creative.
Everyone who ... | Alice is kind. | entailment | (![X]:((happy(X)|generous(X))<=>(wise(X)<~>brave(X))))&
((?[X]:((~happy(X)<~>rich(X))))<=>(old(mary)))&
(((~humble(john)&humble(john)))=>(?[X]:((~wise(X)<~>curious(X)))))&
(![X]:((creative(X)<~>patient(X))=>(creative(X)<~>~creative(X))))&
(![X]:((quiet(X)&~old(X))=>(tall(X)&wise(X))))&
((rich(paul))=>(?[X]:((calm(X)<~>... | kind(alice) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5659882495983477615489573
% SZS output start Proof for 5659882495983477615489573
8. ! [X0] : (funny(X0) <=> (rich(X0) & kind(X0))) [input p7]
10. ! [X0] : ((strong(X0) & funny(X0)) <=> (happy(X0) <~> ~happy(X0))) [input p9]
23. ~kind(alice) [input hypothesis]
52. ! [X0] : ((funny(X0) | (~... | 0 |
Everyone who is humble is not quiet or not generous and vice versa. If someone is either not generous or calm then susan is either generous or not tall and vice versa. If someone is not creative then paul is both curious and humble and vice versa. Everyone who is both not wise and not tall is either not rich or quiet. ... | Paul is not patient. | contradiction | (![X]:(humble(X)<=>(~quiet(X)|~generous(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>((generous(susan)<~>~tall(susan))))&
((?[X]:(~creative(X)))<=>((curious(paul)&humble(paul))))&
(![X]:((~wise(X)&~tall(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((funny(X)&rich(X))<=>(humble(X)<~>tall(X))))&
(![X]:(old(X)=>(~generous(X)&happy(... | ~patient(paul) | [
"p0",
"p4",
"p5",
"p6",
"p12",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5386017940825475768345977
% SZS output start Proof for 5386017940825475768345977
1. ! [X0] : (humble(X0) <=> (~generous(X0) | ~quiet(X0))) [input p0]
5. ! [X0] : ((rich(X0) & funny(X0)) <=> (humble(X0) <~> tall(X0))) [input p4]
6. ! [X0] : (old(X0) => (happy(X0) & ~generous(X0))) [input p... | 0 |
Everyone who is not creative is either brave or not brave and vice versa.
Everyone who is not wise is not old or not humble and vice versa.
If someone is either not funny or not calm then someone is not tall or not kind.
Everyone who is not generous is both not kind and not funny and vice versa.
If alice is not kind or... | Mary is generous. | entailment | (![X]:(~creative(X)<=>(brave(X)<~>~brave(X))))&
(![X]:(~wise(X)<=>(~old(X)|~humble(X))))&
((?[X]:((~funny(X)<~>~calm(X))))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:(~generous(X)<=>(~kind(X)&~funny(X))))&
(((~kind(alice)|~old(alice)))<=>(?[X]:(brave(X))))&
(![X]:(curious(X)=>(~humble(X)|wise(X))))&
(![X]:((generous(X)|~str... | generous(mary) | [
"p3",
"p10",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3986843297099412670955737
% SZS output start Proof for 3986843297099412670955737
4. ! [X0] : (~generous(X0) <=> (~funny(X0) & ~kind(X0))) [input p3]
11. ! [X0] : ((~funny(X0) <~> kind(X0)) <=> (~tall(X0) | rich(X0))) [input p10]
15. ? [X0] : (~quiet(X0) | ~funny(X0)) <=> generous(paul) [i... | 0 |
If someone is either not old or quiet then someone is either not kind or wise.
Everyone who is patient is both not patient and quiet and vice versa.
If paul is strong then someone is strong.
Everyone who is old or not quiet is both curious and not brave.
If paul is either wise or not old then fred is tall.
Everyone who... | Lucy is brave. | contradiction | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~kind(X)<~>wise(X)))))&
(![X]:(patient(X)<=>(~patient(X)&quiet(X))))&
((strong(paul))=>(?[X]:(strong(X))))&
(![X]:((old(X)|~quiet(X))=>(curious(X)&~brave(X))))&
(((wise(paul)<~>~old(paul)))=>(tall(fred)))&
(![X]:((~quiet(X)&~patient(X))=>(~tall(X)&old(X))))&
(![X]:((~quiet(X)&qui... | brave(lucy) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 849216766282562661835907
% SZS output start Proof for 849216766282562661835907
2. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) | old(X0)) => (~brave(X0) & curious(X0))) [input p3]
22. brave(lucy) [input hypothesis]
26. ! [X0] : ((~brave(X0) & c... | 0 |
Everyone who is strong is old or creative. If mary is both generous and not rich then fred is both not curious and not generous and vice versa. Everyone who is not tall is either not strong or rich and vice versa. Everyone who is both not curious and quiet is either not calm or happy. Everyone who is funny or not kind ... | Lucy is not kind. | neutral | (![X]:(strong(X)=>(old(X)|creative(X))))&
(((generous(mary)&~rich(mary)))<=>((~curious(fred)&~generous(fred))))&
(![X]:(~tall(X)<=>(~strong(X)<~>rich(X))))&
(![X]:((~curious(X)&quiet(X))=>(~calm(X)<~>happy(X))))&
(![X]:((funny(X)|~kind(X))=>(strong(X)<~>humble(X))))&
((~creative(lucy))<=>(?[X]:((~humble(X)|~brave(X))))... | ~kind(lucy) | [] | null | 0 |
Everyone who is either not happy or not tall is quiet or not patient and vice versa.
If alice is happy or strong then someone is both not rich and not humble.
If someone is either wise or tall then someone is either old or not happy.
Everyone who is either not happy or not quiet is both curious and calm and vice versa.... | Susan is patient. | contradiction | (![X]:((~happy(X)<~>~tall(X))<=>(quiet(X)|~patient(X))))&
(((happy(alice)|strong(alice)))=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:((wise(X)<~>tall(X))))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:((~happy(X)<~>~quiet(X))<=>(curious(X)&calm(X))))&
((?[X]:((strong(X)|~old(X))))<=>(?[X]:((~creative(X)|~brave(X)))))&
((?[X]:(... | patient(susan) | [
"p0",
"p3",
"p6",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1949424874795949851526970
% SZS output start Proof for 1949424874795949851526970
1. ! [X0] : ((~happy(X0) <~> ~tall(X0)) <=> (~patient(X0) | quiet(X0))) [input p0]
4. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) <=> (calm(X0) & curious(X0))) [input p3]
7. ! [X0] : ((~tall(X0) & ~kind(X0)) <=> (o... | 0 |
If someone is both generous and happy then mary is not curious.
If lucy is creative or not old then alice is patient.
If susan is wise then mary is both wise and brave.
If someone is both not wise and creative then mary is kind and vice versa.
Everyone who is not rich is not patient.
Everyone who is not happy or not cu... | Susan is not rich. | entailment | ((?[X]:((generous(X)&happy(X))))=>(~curious(mary)))&
(((creative(lucy)|~old(lucy)))=>(patient(alice)))&
((wise(susan))=>((wise(mary)&brave(mary))))&
((?[X]:((~wise(X)&creative(X))))<=>(kind(mary)))&
(![X]:(~rich(X)=>~patient(X)))&
(![X]:((~happy(X)|~curious(X))<=>(tall(X)&~curious(X))))&
(![X]:((rich(X)|~quiet(X))<=>(h... | ~rich(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 9167489571117146135825138
% SZS output start Proof for 9167489571117146135825138
7. ! [X0] : ((~quiet(X0) | rich(X0)) <=> (~happy(X0) & happy(X0))) [input p6]
23. rich(susan) [input hypothesis]
44. ! [X0] : (((~quiet(X0) | rich(X0)) | (happy(X0) | ~happy(X0))) & ((~happy(X0) & happy(X0)) ... | 0 |
Everyone who is not calm or not generous is not calm or patient. Everyone who is funny is kind and vice versa. If john is not tall then john is either not quiet or wise. If susan is tall or not happy then someone is both not curious and not old. If someone is tall or not calm then someone is not quiet and vice versa. E... | Lucy is not humble. | contradiction | (![X]:((~calm(X)|~generous(X))=>(~calm(X)|patient(X))))&
(![X]:(funny(X)<=>kind(X)))&
((~tall(john))=>((~quiet(john)<~>wise(john))))&
(((tall(susan)|~happy(susan)))=>(?[X]:((~curious(X)&~old(X)))))&
((?[X]:((tall(X)|~calm(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((strong(X)<~>~strong(X))<=>(wise(X)&happy(X))))&
(![X]:((humbl... | ~humble(lucy) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6548577280807015389386
% SZS output start Proof for 6548577280807015389386
2. ! [X0] : (funny(X0) <=> kind(X0)) [input p1]
11. ! [X0] : ((~humble(X0) <~> ~funny(X0)) <=> ~kind(X0)) [input p10]
24. ~humble(lucy) [input hypothesis]
35. ! [X0] : ((funny(X0) | ~kind(X0)) & (kind(X0) | ~funny(... | 0 |
Everyone who is rich or not happy is either wise or not old. Everyone who is either not calm or humble is either funny or not creative and vice versa. If someone is either not brave or calm then paul is not funny. Everyone who is both not generous and curious is either not generous or rich. Everyone who is happy is cre... | Mary is not rich. | neutral | (![X]:((rich(X)|~happy(X))=>(wise(X)<~>~old(X))))&
(![X]:((~calm(X)<~>humble(X))<=>(funny(X)<~>~creative(X))))&
((?[X]:((~brave(X)<~>calm(X))))=>(~funny(paul)))&
(![X]:((~generous(X)&curious(X))=>(~generous(X)<~>rich(X))))&
(![X]:(happy(X)=>(creative(X)|~humble(X))))&
(((~patient(paul)&~calm(paul)))=>(?[X]:(strong(X)))... | ~rich(mary) | [] | null | 0 |
Everyone who is not humble is both not quiet and calm. If someone is both not curious and not brave then someone is both rich and kind and vice versa. Everyone who is both quiet and not old is both not rich and rich and vice versa. If someone is calm or rich then fred is either quiet or not tall and vice versa. If susa... | Susan is not creative. | neutral | (![X]:(~humble(X)=>(~quiet(X)&calm(X))))&
((?[X]:((~curious(X)&~brave(X))))<=>(?[X]:((rich(X)&kind(X)))))&
(![X]:((quiet(X)&~old(X))<=>(~rich(X)&rich(X))))&
((?[X]:((calm(X)|rich(X))))<=>((quiet(fred)<~>~tall(fred))))&
(((~rich(susan)&~happy(susan)))<=>(calm(susan)))&
(((curious(susan)|quiet(susan)))<=>(?[X]:((~happy(X... | ~creative(susan) | [] | null | 0 |
Everyone who is both rich and kind is generous.
If someone is both happy and humble then someone is generous or not old and vice versa.
Everyone who is calm is curious.
If john is not funny or not wise then mary is either not brave or not happy and vice versa.
Everyone who is either wise or strong is both creative and ... | Susan is generous. | neutral | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((generous(X)|~old(X)))))&
(![X]:(calm(X)=>curious(X)))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)|~patient(X))))&
((?[X]:((~g... | generous(susan) | [] | null | 0 |
Everyone who is wise or tall is either not kind or calm.
If someone is creative or strong then alice is both old and not curious and vice versa.
Everyone who is both not brave and kind is either not brave or not quiet.
If fred is either rich or kind then someone is calm.
If someone is not curious or not creative then s... | Paul is rich. | entailment | (![X]:((wise(X)|tall(X))=>(~kind(X)<~>calm(X))))&
((?[X]:((creative(X)|strong(X))))<=>((old(alice)&~curious(alice))))&
(![X]:((~brave(X)&kind(X))=>(~brave(X)<~>~quiet(X))))&
(((rich(fred)<~>kind(fred)))=>(?[X]:(calm(X))))&
((?[X]:((~curious(X)|~creative(X))))<=>(?[X]:(quiet(X))))&
(![X]:((generous(X)&~rich(X))<=>(curio... | rich(paul) | [
"p1",
"p5",
"p8",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8096046724738670970644683
% SZS output start Proof for 8096046724738670970644683
2. ? [X0] : (strong(X0) | creative(X0)) <=> (~curious(alice) & old(alice)) [input p1]
6. ! [X0] : ((~rich(X0) & generous(X0)) <=> (~rich(X0) & curious(X0))) [input p5]
9. ? [X0] : (~old(X0) & ~strong(X0)) => ... | 0 |
If someone is both not calm and not strong then paul is either funny or not creative. If someone is either not calm or brave then someone is tall and vice versa. Everyone who is calm or not quiet is either not brave or not generous. If someone is rich then someone is both kind and patient and vice versa. If alice is bo... | Lucy is curious. | contradiction | ((?[X]:((~calm(X)&~strong(X))))=>((funny(paul)<~>~creative(paul))))&
((?[X]:((~calm(X)<~>brave(X))))<=>(?[X]:(tall(X))))&
(![X]:((calm(X)|~quiet(X))=>(~brave(X)<~>~generous(X))))&
((?[X]:(rich(X)))<=>(?[X]:((kind(X)&patient(X)))))&
(((~tall(alice)&brave(alice)))=>(~kind(fred)))&
(![X]:((creative(X)&brave(X))<=>(funny(X... | curious(lucy) | [
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4958374163026598435477230
% SZS output start Proof for 4958374163026598435477230
7. ! [X0] : ((happy(X0) <~> curious(X0)) <=> ~quiet(X0)) [input p6]
9. (~happy(lucy) <~> ~creative(lucy)) <=> (~humble(susan) & creative(susan)) [input p8]
13. ? [X0] : (creative(X0) | ~quiet(X0)) <=> (~old(l... | 0 |
If susan is both old and not kind then fred is generous. If paul is generous then fred is both not quiet and not wise. If susan is humble or strong then mary is either rich or old and vice versa. If someone is patient or generous then mary is either not creative or curious and vice versa. Everyone who is both calm and ... | Susan is patient. | contradiction | (((old(susan)&~kind(susan)))=>(generous(fred)))&
((generous(paul))=>((~quiet(fred)&~wise(fred))))&
(((humble(susan)|strong(susan)))<=>((rich(mary)<~>old(mary))))&
((?[X]:((patient(X)|generous(X))))<=>((~creative(mary)<~>curious(mary))))&
(![X]:((calm(X)&~brave(X))<=>(quiet(X)<~>~brave(X))))&
((~old(alice))=>(?[X]:((tal... | patient(susan) | [
"p3",
"p6",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8468878993642137957117238
% SZS output start Proof for 8468878993642137957117238
4. ? [X0] : (generous(X0) | patient(X0)) <=> (~creative(mary) <~> curious(mary)) [input p3]
7. (~creative(paul) & funny(paul)) <=> ? [X0] : (curious(X0) | ~creative(X0)) [input p6]
12. ! [X0] : ((happy(X0) & ... | 0 |
If paul is either wise or not generous then someone is either not rich or rich and vice versa. If lucy is brave or patient then someone is not old or rich. If someone is either calm or not rich then fred is not quiet or strong and vice versa. Everyone who is either not curious or wise is both not happy and calm and vic... | John is humble. | contradiction | (((wise(paul)<~>~generous(paul)))<=>(?[X]:((~rich(X)<~>rich(X)))))&
(((brave(lucy)|patient(lucy)))=>(?[X]:((~old(X)|rich(X)))))&
((?[X]:((calm(X)<~>~rich(X))))<=>((~quiet(fred)|strong(fred))))&
(![X]:((~curious(X)<~>wise(X))<=>(~happy(X)&calm(X))))&
(![X]:((old(X)<~>~old(X))<=>(~quiet(X)|~humble(X))))&
(![X]:((patient(... | humble(john) | [
"p4",
"p7",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 72928011077448512671835
% SZS output start Proof for 72928011077448512671835
5. ! [X0] : ((old(X0) <~> ~old(X0)) <=> (~humble(X0) | ~quiet(X0))) [input p4]
8. ? [X0] : (~quiet(X0) & generous(X0)) <=> (brave(john) & curious(john)) [input p7]
14. ! [X0] : (~generous(X0) => (humble(X0) & gen... | 0 |
Everyone who is tall or not tall is either not calm or not generous. Everyone who is either humble or old is rich or kind and vice versa. Everyone who is rich or not wise is generous. Everyone who is not strong is not tall or patient. Everyone who is both not creative and not generous is not calm and vice versa. If mar... | Paul is not creative. | contradiction | (![X]:((tall(X)|~tall(X))=>(~calm(X)<~>~generous(X))))&
(![X]:((humble(X)<~>old(X))<=>(rich(X)|kind(X))))&
(![X]:((rich(X)|~wise(X))=>generous(X)))&
(![X]:(~strong(X)=>(~tall(X)|patient(X))))&
(![X]:((~creative(X)&~generous(X))<=>~calm(X)))&
(((kind(mary)&happy(mary)))<=>((~kind(susan)<~>quiet(susan))))&
(![X]:((~tall(... | ~creative(paul) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4116190305507744542495381
% SZS output start Proof for 4116190305507744542495381
1. ! [X0] : ((~tall(X0) | tall(X0)) => (~calm(X0) <~> ~generous(X0))) [input p0]
5. ! [X0] : ((~generous(X0) & ~creative(X0)) <=> ~calm(X0)) [input p4]
23. ~creative(paul) [input hypothesis]
27. ! [X0] : ((~c... | 0 |
Everyone who is either tall or not funny is both not patient and not funny and vice versa.
Everyone who is either calm or curious is both not kind and not happy.
If someone is not kind or calm then mary is not wise or not funny and vice versa.
Everyone who is either not curious or wise is both not kind and not tall.
Ev... | Mary is happy. | entailment | (![X]:((tall(X)<~>~funny(X))<=>(~patient(X)&~funny(X))))&
(![X]:((calm(X)<~>curious(X))=>(~kind(X)&~happy(X))))&
((?[X]:((~kind(X)|calm(X))))<=>((~wise(mary)|~funny(mary))))&
(![X]:((~curious(X)<~>wise(X))=>(~kind(X)&~tall(X))))&
(![X]:((~rich(X)&happy(X))<=>(~rich(X)<~>~brave(X))))&
(![X]:((patient(X)<~>~funny(X))<=>~... | happy(mary) | [
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7142408626817580502350183
% SZS output start Proof for 7142408626817580502350183
6. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> ~calm(X0)) [input p5]
7. ! [X0] : (~calm(X0) => (~happy(X0) & creative(X0))) [input p6]
9. ! [X0] : ((~creative(X0) & quiet(X0)) <=> (funny(X0) | ~kind(X0))) [inp... | 0 |
Everyone who is generous or tall is both patient and not creative.
Everyone who is funny or old is both not funny and not rich and vice versa.
Everyone who is not humble or humble is either kind or funny and vice versa.
If alice is both not humble and rich then alice is both curious and not generous and vice versa.
If ... | Mary is wise. | contradiction | (![X]:((generous(X)|tall(X))=>(patient(X)&~creative(X))))&
(![X]:((funny(X)|old(X))<=>(~funny(X)&~rich(X))))&
(![X]:((~humble(X)|humble(X))<=>(kind(X)<~>funny(X))))&
(((~humble(alice)&rich(alice)))<=>((curious(alice)&~generous(alice))))&
((?[X]:((~generous(X)<~>calm(X))))<=>((curious(mary)&~wise(mary))))&
(((wise(alice... | wise(mary) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8457050381063239033322778
% SZS output start Proof for 8457050381063239033322778
1. ! [X0] : ((tall(X0) | generous(X0)) => (~creative(X0) & patient(X0))) [input p0]
2. ! [X0] : ((old(X0) | funny(X0)) <=> (~rich(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((humble(X0) | ~humble(X0)) <=> (kin... | 0 |
Everyone who is both not old and patient is old or brave and vice versa.
If fred is not curious or creative then mary is both brave and not wise and vice versa.
If someone is either creative or calm then someone is both humble and calm.
Everyone who is creative or not tall is not funny or not brave.
If someone is stron... | Lucy is not brave. | entailment | (![X]:((~old(X)&patient(X))<=>(old(X)|brave(X))))&
(((~curious(fred)|creative(fred)))<=>((brave(mary)&~wise(mary))))&
((?[X]:((creative(X)<~>calm(X))))=>(?[X]:((humble(X)&calm(X)))))&
(![X]:((creative(X)|~tall(X))=>(~funny(X)|~brave(X))))&
((?[X]:((strong(X)|funny(X))))<=>(?[X]:((wise(X)<~>~funny(X)))))&
(![X]:((~humbl... | ~brave(lucy) | [
"p3",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2090604058611120844584689
% SZS output start Proof for 2090604058611120844584689
4. ! [X0] : ((~tall(X0) | creative(X0)) => (~brave(X0) | ~funny(X0))) [input p3]
13. ! [X0] : ((~tall(X0) <~> brave(X0)) => (~calm(X0) & creative(X0))) [input p12]
16. ! [X0] : ((~funny(X0) | quiet(X0)) <=> ~... | 0 |
If someone is curious or not curious then someone is either tall or not generous and vice versa. If john is brave then someone is either brave or not tall and vice versa. If someone is either patient or not humble then someone is humble or brave. If someone is either old or curious then someone is calm. Everyone who is... | Lucy is brave. | entailment | ((?[X]:((curious(X)|~curious(X))))<=>(?[X]:((tall(X)<~>~generous(X)))))&
((brave(john))<=>(?[X]:((brave(X)<~>~tall(X)))))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)|brave(X)))))&
((?[X]:((old(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:(happy(X)<=>generous(X)))&
(![X]:((~curious(X)<~>patient(X))<=>(~old(X... | brave(lucy) | [
"p1",
"p5",
"p7",
"p8",
"p11",
"p12",
"p13",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6161533309775369798481113
% SZS output start Proof for 6161533309775369798481113
2. brave(john) <=> ? [X0] : (brave(X0) <~> ~tall(X0)) [input p1]
6. ! [X0] : ((~curious(X0) <~> patient(X0)) <=> (rich(X0) | ~old(X0))) [input p5]
8. ? [X0] : ~quiet(X0) <=> (~old(lucy) <~> ~brave(lucy)) [inp... | 0 |
Everyone who is not calm is both not curious and curious.
Everyone who is strong or not patient is either not creative or humble and vice versa.
Everyone who is not generous is either not calm or not brave and vice versa.
Everyone who is either not rich or not old is not funny.
Everyone who is not happy or not curious ... | John is not old. | neutral | (![X]:(~calm(X)=>(~curious(X)&curious(X))))&
(![X]:((strong(X)|~patient(X))<=>(~creative(X)<~>humble(X))))&
(![X]:(~generous(X)<=>(~calm(X)<~>~brave(X))))&
(![X]:((~rich(X)<~>~old(X))=>~funny(X)))&
(![X]:((~happy(X)|~curious(X))<=>(quiet(X)&~kind(X))))&
((?[X]:((~kind(X)&humble(X))))<=>(?[X]:((~strong(X)&~patient(X))))... | ~old(john) | [] | null | 0 |
Everyone who is both not strong and not rich is tall and vice versa.
Everyone who is both kind and not patient is either not funny or quiet and vice versa.
Everyone who is quiet is happy or generous and vice versa.
Everyone who is not wise or not rich is both not happy and not brave.
Everyone who is either not curious ... | Lucy is patient. | contradiction | (![X]:((~strong(X)&~rich(X))<=>tall(X)))&
(![X]:((kind(X)&~patient(X))<=>(~funny(X)<~>quiet(X))))&
(![X]:(quiet(X)<=>(happy(X)|generous(X))))&
(![X]:((~wise(X)|~rich(X))=>(~happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(curious(X)|funny(X))))&
(![X]:((~curious(X)|~calm(X))<=>~calm(X)))&
(![X]:((rich(X)<~>cu... | patient(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3546469542293323342897974
% SZS output start Proof for 3546469542293323342897974
1. ! [X0] : ((~rich(X0) & ~strong(X0)) <=> tall(X0)) [input p0]
2. ! [X0] : ((~patient(X0) & kind(X0)) <=> (~funny(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : (quiet(X0) <=> (generous(X0) | happy(X0))) [input ... | 0 |
Everyone who is not brave is both not kind and funny.
If someone is not creative then someone is not rich and vice versa.
Everyone who is not quiet is not tall and vice versa.
If someone is both not quiet and not rich then fred is both humble and not patient and vice versa.
Everyone who is not generous or strong is bra... | Susan is humble. | contradiction | (![X]:(~brave(X)=>(~kind(X)&funny(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(~rich(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((~quiet(X)&~rich(X))))<=>((humble(fred)&~patient(fred))))&
(![X]:((~generous(X)|strong(X))=>brave(X)))&
(![X]:((old(X)<~>kind(X))=>old(X)))&
(![X]:((~wise(X)|~generous(X))=>happy(X)))&
(((funny(s... | humble(susan) | [
"p2",
"p5",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 479650324982355642410533
% SZS output start Proof for 479650324982355642410533
3. ! [X0] : (~quiet(X0) <=> ~tall(X0)) [input p2]
6. ! [X0] : ((old(X0) <~> kind(X0)) => old(X0)) [input p5]
9. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> (~kind(X0) & humble(X0))) [input p8]
10. ! [X0] : ((humb... | 0 |
Everyone who is not happy or patient is either not wise or quiet and vice versa. Everyone who is either not funny or creative is rich. If susan is strong then fred is strong or not calm. If alice is either not patient or funny then someone is wise or tall. Everyone who is not humble or not patient is either wise or not... | Paul is not kind. | contradiction | (![X]:((~happy(X)|patient(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((~funny(X)<~>creative(X))=>rich(X)))&
((strong(susan))=>((strong(fred)|~calm(fred))))&
(((~patient(alice)<~>funny(alice)))=>(?[X]:((wise(X)|tall(X)))))&
(![X]:((~humble(X)|~patient(X))=>(wise(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>rich(X))))<=>((~rich(... | ~kind(paul) | [
"p0",
"p4",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1025358859021046816450919
% SZS output start Proof for 1025358859021046816450919
1. ! [X0] : ((patient(X0) | ~happy(X0)) <=> (~wise(X0) <~> quiet(X0))) [input p0]
5. ! [X0] : ((~patient(X0) | ~humble(X0)) => (wise(X0) <~> ~patient(X0))) [input p4]
7. ! [X0] : (~generous(X0) <=> (quiet(X0)... | 0 |
If someone is either not calm or tall then paul is not patient and vice versa.
If mary is either not kind or not curious then fred is not rich or not creative.
Everyone who is old or not strong is both wise and generous.
If someone is both not quiet and not funny then someone is creative or not rich and vice versa.
If ... | Mary is not brave. | entailment | ((?[X]:((~calm(X)<~>tall(X))))<=>(~patient(paul)))&
(((~kind(mary)<~>~curious(mary)))=>((~rich(fred)|~creative(fred))))&
(![X]:((old(X)|~strong(X))=>(wise(X)&generous(X))))&
((?[X]:((~quiet(X)&~funny(X))))<=>(?[X]:((creative(X)|~rich(X)))))&
(((~creative(john)|~rich(john)))=>((~quiet(alice)<~>~curious(alice))))&
((?[X]... | ~brave(mary) | [
"p5",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4085178666664465700630902
% SZS output start Proof for 4085178666664465700630902
6. ? [X0] : (~brave(X0) <~> ~happy(X0)) => (humble(lucy) & ~humble(lucy)) [input p5]
8. ! [X0] : (rich(X0) => (generous(X0) & ~happy(X0))) [input p7]
10. ! [X0] : (~creative(X0) <=> (rich(X0) & humble(X0))) [... | 0 |
Everyone who is either not patient or not old is both generous and calm.
If someone is both not happy and not funny then lucy is brave and vice versa.
Everyone who is either rich or tall is both not quiet and curious and vice versa.
Everyone who is either not patient or not funny is either not patient or curious and vi... | Susan is wise. | contradiction | (![X]:((~patient(X)<~>~old(X))=>(generous(X)&calm(X))))&
((?[X]:((~happy(X)&~funny(X))))<=>(brave(lucy)))&
(![X]:((rich(X)<~>tall(X))<=>(~quiet(X)&curious(X))))&
(![X]:((~patient(X)<~>~funny(X))<=>(~patient(X)<~>curious(X))))&
(![X]:((~kind(X)|strong(X))<=>(funny(X)&~quiet(X))))&
(![X]:((humble(X)<~>~brave(X))=>(old(X)... | wise(susan) | [
"p6",
"p7",
"p14",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5681714749256302406912507
% SZS output start Proof for 5681714749256302406912507
7. ! [X0] : (~calm(X0) => (~rich(X0) & quiet(X0))) [input p6]
8. (~wise(susan) <~> ~humble(susan)) <=> (kind(alice) | creative(alice)) [input p7]
15. ! [X0] : ((wise(X0) | ~rich(X0)) <=> (creative(X0) & ~stro... | 0 |
If someone is either not tall or not rich then susan is kind and vice versa.
If someone is not humble then someone is not tall or curious and vice versa.
Everyone who is both not generous and brave is either not happy or quiet.
Everyone who is both not rich and strong is tall and vice versa.
If john is either funny or ... | Alice is generous. | neutral | ((?[X]:((~tall(X)<~>~rich(X))))<=>(kind(susan)))&
((?[X]:(~humble(X)))<=>(?[X]:((~tall(X)|curious(X)))))&
(![X]:((~generous(X)&brave(X))=>(~happy(X)<~>quiet(X))))&
(![X]:((~rich(X)&strong(X))<=>tall(X)))&
(((funny(john)<~>~curious(john)))=>((~kind(paul)|~calm(paul))))&
((strong(paul))=>(?[X]:(old(X))))&
(![X]:((happy(X... | generous(alice) | [] | null | 0 |
Everyone who is either not kind or not tall is either quiet or not generous and vice versa. Everyone who is either wise or not tall is not creative and vice versa. Everyone who is not generous or curious is not brave or not strong and vice versa. If john is both not funny and not wise then someone is humble and vice ve... | Susan is creative. | neutral | (![X]:((~kind(X)<~>~tall(X))<=>(quiet(X)<~>~generous(X))))&
(![X]:((wise(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((~generous(X)|curious(X))<=>(~brave(X)|~strong(X))))&
(((~funny(john)&~wise(john)))<=>(?[X]:(humble(X))))&
(![X]:((~funny(X)&kind(X))=>calm(X)))&
(![X]:((~rich(X)|~tall(X))<=>(~brave(X)|creative(X))))&
(![X]... | creative(susan) | [] | null | 0 |
Everyone who is not curious or tall is not quiet or not brave. Everyone who is either not strong or not old is both not brave and calm and vice versa. Everyone who is not brave or not humble is not tall and vice versa. If paul is not quiet then someone is either kind or strong. If alice is rich or funny then mary is ei... | Lucy is not tall. | entailment | (![X]:((~curious(X)|tall(X))=>(~quiet(X)|~brave(X))))&
(![X]:((~strong(X)<~>~old(X))<=>(~brave(X)&calm(X))))&
(![X]:((~brave(X)|~humble(X))<=>~tall(X)))&
((~quiet(paul))=>(?[X]:((kind(X)<~>strong(X)))))&
(((rich(alice)|funny(alice)))=>((~strong(mary)<~>calm(mary))))&
(((funny(lucy)&~humble(lucy)))=>(?[X]:((humble(X)<~>... | ~tall(lucy) | [
"p0",
"p2",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1338320559151090684219714
% SZS output start Proof for 1338320559151090684219714
1. ! [X0] : ((tall(X0) | ~curious(X0)) => (~brave(X0) | ~quiet(X0))) [input p0]
3. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> ~tall(X0)) [input p2]
8. ! [X0] : (~strong(X0) => strong(X0)) [input p7]
15. ! [X0] ... | 0 |
Everyone who is not generous is curious.
If susan is not happy or old then someone is not humble and vice versa.
Everyone who is both tall and kind is both generous and rich and vice versa.
If john is rich then lucy is both not funny and not rich and vice versa.
Everyone who is calm or humble is both creative and tall ... | Fred is not creative. | contradiction | (![X]:(~generous(X)=>curious(X)))&
(((~happy(susan)|old(susan)))<=>(?[X]:(~humble(X))))&
(![X]:((tall(X)&kind(X))<=>(generous(X)&rich(X))))&
((rich(john))<=>((~funny(lucy)&~rich(lucy))))&
(![X]:((calm(X)|humble(X))<=>(creative(X)&tall(X))))&
(((creative(alice)<~>~calm(alice)))=>((~tall(paul)|generous(paul))))&
(![X]:(s... | ~creative(fred) | [
"p4",
"p8",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6458760719399957326169387
% SZS output start Proof for 6458760719399957326169387
5. ! [X0] : ((humble(X0) | calm(X0)) <=> (tall(X0) & creative(X0))) [input p4]
9. ! [X0] : ((old(X0) | ~calm(X0)) => brave(X0)) [input p8]
10. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> rich(X0)) [input p9]
15. ! ... | 0 |
If someone is both creative and not creative then someone is either brave or tall and vice versa.
Everyone who is either not humble or humble is both brave and not old.
Everyone who is wise is not creative.
If someone is not funny then someone is not tall and vice versa.
Everyone who is curious is both kind and patient... | Lucy is not quiet. | neutral | ((?[X]:((creative(X)&~creative(X))))<=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((~humble(X)<~>humble(X))=>(brave(X)&~old(X))))&
(![X]:(wise(X)=>~creative(X)))&
((?[X]:(~funny(X)))<=>(?[X]:(~tall(X))))&
(![X]:(curious(X)<=>(kind(X)&patient(X))))&
(![X]:(~kind(X)<=>rich(X)))&
((?[X]:((~rich(X)&~creative(X))))<=>(?[X]:((~cu... | ~quiet(lucy) | [] | null | 0 |
Everyone who is happy or not patient is curious and vice versa.
Everyone who is creative is both strong and generous.
Everyone who is not creative or funny is kind or not funny.
Everyone who is either not quiet or old is not quiet or creative and vice versa.
If someone is either kind or not brave then someone is both h... | Paul is not strong. | contradiction | (![X]:((happy(X)|~patient(X))<=>curious(X)))&
(![X]:(creative(X)=>(strong(X)&generous(X))))&
(![X]:((~creative(X)|funny(X))=>(kind(X)|~funny(X))))&
(![X]:((~quiet(X)<~>old(X))<=>(~quiet(X)|creative(X))))&
((?[X]:((kind(X)<~>~brave(X))))<=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((~funny(X)<~>rich(X))<=>(~creative(X)<~>hum... | ~strong(paul) | [
"p1",
"p2",
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5284868073279797617399083
% SZS output start Proof for 5284868073279797617399083
2. ! [X0] : (creative(X0) => (generous(X0) & strong(X0))) [input p1]
3. ! [X0] : ((funny(X0) | ~creative(X0)) => (~funny(X0) | kind(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> (creative(X0) | ~... | 0 |
Everyone who is both not quiet and not brave is both calm and generous.
Everyone who is wise or patient is either not strong or happy and vice versa.
If someone is creative or not kind then alice is both not tall and not quiet.
Everyone who is humble is quiet or patient.
If susan is both humble and not brave then susan... | Susan is not patient. | contradiction | (![X]:((~quiet(X)&~brave(X))=>(calm(X)&generous(X))))&
(![X]:((wise(X)|patient(X))<=>(~strong(X)<~>happy(X))))&
((?[X]:((creative(X)|~kind(X))))=>((~tall(alice)&~quiet(alice))))&
(![X]:(humble(X)=>(quiet(X)|patient(X))))&
(((humble(susan)&~brave(susan)))=>((wise(susan)|patient(susan))))&
((?[X]:((creative(X)<~>~brave(X... | ~patient(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2381343004790620860377544
% SZS output start Proof for 2381343004790620860377544
14. ! [X0] : ((~quiet(X0) & patient(X0)) <=> ~patient(X0)) [input p13]
23. ~patient(susan) [input hypothesis]
58. ! [X0] : (((~quiet(X0) & patient(X0)) | patient(X0)) & (~patient(X0) | (quiet(X0) | ~patient(X... | 0 |
Everyone who is not rich or not patient is both happy and rich and vice versa.
If someone is happy or quiet then fred is both not creative and not tall and vice versa.
Everyone who is both not calm and old is both not curious and not funny.
If someone is either not wise or kind then lucy is both quiet and not calm and ... | Lucy is not quiet. | entailment | (![X]:((~rich(X)|~patient(X))<=>(happy(X)&rich(X))))&
((?[X]:((happy(X)|quiet(X))))<=>((~creative(fred)&~tall(fred))))&
(![X]:((~calm(X)&old(X))=>(~curious(X)&~funny(X))))&
((?[X]:((~wise(X)<~>kind(X))))<=>((quiet(lucy)&~calm(lucy))))&
(![X]:((~strong(X)&~quiet(X))<=>(~tall(X)<~>tall(X))))&
(![X]:((humble(X)|~kind(X))<... | ~quiet(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 9161459310089470387188147
% SZS output start Proof for 9161459310089470387188147
5. ! [X0] : ((~quiet(X0) & ~strong(X0)) <=> (~tall(X0) <~> tall(X0))) [input p4]
19. quiet(lucy) [input hypothesis]
40. ! [X0] : (((~quiet(X0) & ~strong(X0)) | ((~tall(X0) | ~tall(X0)) & (tall(X0) | tall(X0))... | 0 |
Everyone who is not quiet is both not patient and creative. If paul is not old or brave then alice is both not kind and not tall. If someone is both not creative and not brave then john is either not funny or creative and vice versa. If lucy is both not funny and funny then someone is calm and vice versa. Everyone who ... | Susan is not wise. | contradiction | (![X]:(~quiet(X)=>(~patient(X)&creative(X))))&
(((~old(paul)|brave(paul)))=>((~kind(alice)&~tall(alice))))&
((?[X]:((~creative(X)&~brave(X))))<=>((~funny(john)<~>creative(john))))&
(((~funny(lucy)&funny(lucy)))<=>(?[X]:(calm(X))))&
(![X]:((kind(X)|~funny(X))<=>old(X)))&
(![X]:(~quiet(X)=>(~brave(X)&tall(X))))&
((old(jo... | ~wise(susan) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3867298292820281697304553
% SZS output start Proof for 3867298292820281697304553
4. (funny(lucy) & ~funny(lucy)) <=> ? [X0] : calm(X0) [input p3]
9. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> (creative(X0) <~> wise(X0))) [input p8]
25. ~wise(susan) [input hypothesis]
38. ((funny(lucy) & ~f... | 0 |
Everyone who is either not rich or not strong is both not tall and not rich.
If someone is not calm or humble then someone is both old and not rich and vice versa.
If someone is either tall or old then someone is either brave or rich and vice versa.
If someone is not happy then someone is both not calm and not rich and... | Fred is not quiet. | neutral | (![X]:((~rich(X)<~>~strong(X))=>(~tall(X)&~rich(X))))&
((?[X]:((~calm(X)|humble(X))))<=>(?[X]:((old(X)&~rich(X)))))&
((?[X]:((tall(X)<~>old(X))))<=>(?[X]:((brave(X)<~>rich(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((~calm(X)&~rich(X)))))&
(((~rich(alice)<~>tall(alice)))=>(?[X]:((creative(X)<~>~humble(X)))))&
(![X]:((strong(X... | ~quiet(fred) | [] | null | 0 |
If someone is not quiet or brave then lucy is both not rich and brave and vice versa.
Everyone who is curious is either brave or strong.
Everyone who is either patient or creative is both curious and not rich.
If lucy is not old or not happy then someone is both not wise and not happy.
Everyone who is brave or curious ... | John is creative. | entailment | ((?[X]:((~quiet(X)|brave(X))))<=>((~rich(lucy)&brave(lucy))))&
(![X]:(curious(X)=>(brave(X)<~>strong(X))))&
(![X]:((patient(X)<~>creative(X))=>(curious(X)&~rich(X))))&
(((~old(lucy)|~happy(lucy)))=>(?[X]:((~wise(X)&~happy(X)))))&
(![X]:((brave(X)|curious(X))<=>~quiet(X)))&
(![X]:(old(X)=>~funny(X)))&
((?[X]:((calm(X)<~... | creative(john) | [
"p2",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4708472858115314727697453
% SZS output start Proof for 4708472858115314727697453
3. ! [X0] : ((patient(X0) <~> creative(X0)) => (~rich(X0) & curious(X0))) [input p2]
15. ! [X0] : (~rich(X0) <=> (rich(X0) <~> patient(X0))) [input p14]
21. ~generous(john) & ~curious(john) [input p20]
23. ~c... | 0 |
Everyone who is not patient is wise or not brave. If someone is either not calm or not curious then someone is either not creative or brave. If john is old or not old then susan is not quiet and vice versa. If susan is brave or not old then someone is both not strong and not quiet and vice versa. If john is both not wi... | Mary is rich. | entailment | (![X]:(~patient(X)=>(wise(X)|~brave(X))))&
((?[X]:((~calm(X)<~>~curious(X))))=>(?[X]:((~creative(X)<~>brave(X)))))&
(((old(john)|~old(john)))<=>(~quiet(susan)))&
(((brave(susan)|~old(susan)))<=>(?[X]:((~strong(X)&~quiet(X)))))&
(((~wise(john)&~old(john)))<=>(~brave(paul)))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:((kind(X... | rich(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2032481545207818248633271
% SZS output start Proof for 2032481545207818248633271
10. (~rich(alice) | rich(alice)) <=> rich(mary) [input p9]
25. ~rich(mary) [input hypothesis]
62. ((~rich(alice) | rich(alice)) | ~rich(mary)) & (rich(mary) | (rich(alice) & ~rich(alice))) [nnf transformation... | 0 |
Everyone who is not curious or old is either not happy or generous and vice versa.
If someone is either strong or not calm then fred is not creative.
If paul is calm then mary is both not humble and not rich.
If susan is not creative then someone is both not creative and patient and vice versa.
Everyone who is not curi... | Fred is generous. | contradiction | (![X]:((~curious(X)|old(X))<=>(~happy(X)<~>generous(X))))&
((?[X]:((strong(X)<~>~calm(X))))=>(~creative(fred)))&
((calm(paul))=>((~humble(mary)&~rich(mary))))&
((~creative(susan))<=>(?[X]:((~creative(X)&patient(X)))))&
(![X]:(~curious(X)=>(~wise(X)|~old(X))))&
((?[X]:((brave(X)<~>~funny(X))))=>(rich(lucy)))&
((?[X]:((g... | generous(fred) | [
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3510931063541512762636705
% SZS output start Proof for 3510931063541512762636705
7. ? [X0] : (creative(X0) | generous(X0)) <=> ? [X0] : (~kind(X0) & ~tall(X0)) [input p6]
15. ! [X0] : ((~creative(X0) | ~tall(X0)) => (wise(X0) & humble(X0))) [input p14]
16. ! [X0] : (tall(X0) <=> (wise(X0)... | 0 |
If alice is rich then john is both curious and not kind and vice versa. If someone is both not brave and kind then fred is either not rich or happy and vice versa. Everyone who is both not old and kind is both tall and quiet and vice versa. If someone is not strong then paul is both not creative and not happy and vice ... | Fred is not funny. | entailment | ((rich(alice))<=>((curious(john)&~kind(john))))&
((?[X]:((~brave(X)&kind(X))))<=>((~rich(fred)<~>happy(fred))))&
(![X]:((~old(X)&kind(X))<=>(tall(X)&quiet(X))))&
((?[X]:(~strong(X)))<=>((~creative(paul)&~happy(paul))))&
(![X]:((strong(X)&~rich(X))<=>(~funny(X)<~>happy(X))))&
((?[X]:(patient(X)))<=>(?[X]:((old(X)<~>~cur... | ~funny(fred) | [
"p1",
"p4",
"p7",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 555478312933256325886357
% SZS output start Proof for 555478312933256325886357
2. ? [X0] : (kind(X0) & ~brave(X0)) <=> (~rich(fred) <~> happy(fred)) [input p1]
5. ! [X0] : ((~rich(X0) & strong(X0)) <=> (~funny(X0) <~> happy(X0))) [input p4]
8. (~humble(john) & ~creative(john)) <=> ? [X0] ... | 0 |
Everyone who is not old or humble is either rich or curious.
Everyone who is old or wise is either brave or not curious and vice versa.
Everyone who is either not quiet or not humble is either funny or not creative and vice versa.
If someone is either humble or not old then lucy is both brave and generous and vice vers... | Susan is humble. | contradiction | (![X]:((~old(X)|humble(X))=>(rich(X)<~>curious(X))))&
(![X]:((old(X)|wise(X))<=>(brave(X)<~>~curious(X))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(funny(X)<~>~creative(X))))&
((?[X]:((humble(X)<~>~old(X))))<=>((brave(lucy)&generous(lucy))))&
(![X]:((~strong(X)&quiet(X))=>~patient(X)))&
(![X]:((~old(X)<~>~humble(X))<=>(~gen... | humble(susan) | [
"p9",
"p11",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9188784871968822264595595
% SZS output start Proof for 9188784871968822264595595
10. ! [X0] : ((~calm(X0) & creative(X0)) <=> (old(X0) <~> ~old(X0))) [input p9]
12. ? [X0] : (calm(X0) | ~tall(X0)) => (strong(susan) & ~quiet(susan)) [input p11]
13. ! [X0] : ((creative(X0) <~> ~humble(X0)) ... | 0 |
If someone is either brave or patient then susan is not patient and vice versa.
Everyone who is either not strong or not patient is both rich and curious and vice versa.
Everyone who is both strong and not kind is funny and vice versa.
Everyone who is not curious is either not brave or not rich and vice versa.
Everyone... | Mary is not tall. | contradiction | ((?[X]:((brave(X)<~>patient(X))))<=>(~patient(susan)))&
(![X]:((~strong(X)<~>~patient(X))<=>(rich(X)&curious(X))))&
(![X]:((strong(X)&~kind(X))<=>funny(X)))&
(![X]:(~curious(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:((humble(X)&brave(X))=>(generous(X)&kind(X))))&
(![X]:((~funny(X)&generous(X))=>(wise(X)<~>~curious(X))))&
((... | ~tall(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3159451049659474593433568
% SZS output start Proof for 3159451049659474593433568
13. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> tall(X0)) [input p12]
23. ~tall(mary) [input hypothesis]
62. ! [X0] : (((~tall(X0) | ~wise(X0)) | ~tall(X0)) & (tall(X0) | (tall(X0) & wise(X0)))) [nnf transformation... | 0 |
Everyone who is not calm or not brave is both not strong and strong and vice versa. Everyone who is creative is not strong and vice versa. If someone is either humble or not calm then lucy is both not creative and not rich. If someone is not old or not happy then susan is not calm or happy. Everyone who is brave is not... | Paul is not tall. | neutral | (![X]:((~calm(X)|~brave(X))<=>(~strong(X)&strong(X))))&
(![X]:(creative(X)<=>~strong(X)))&
((?[X]:((humble(X)<~>~calm(X))))=>((~creative(lucy)&~rich(lucy))))&
((?[X]:((~old(X)|~happy(X))))=>((~calm(susan)|happy(susan))))&
(![X]:(brave(X)=>~creative(X)))&
(![X]:((~brave(X)<~>~tall(X))=>humble(X)))&
(![X]:(quiet(X)<=>(~h... | ~tall(paul) | [] | null | 0 |
Everyone who is not tall is both not calm and not creative and vice versa. Everyone who is generous is happy or not strong. If paul is not humble then someone is not quiet. If someone is both kind and brave then someone is both brave and not kind. Everyone who is both not generous and not strong is either not patient o... | Mary is strong. | entailment | (![X]:(~tall(X)<=>(~calm(X)&~creative(X))))&
(![X]:(generous(X)=>(happy(X)|~strong(X))))&
((~humble(paul))=>(?[X]:(~quiet(X))))&
((?[X]:((kind(X)&brave(X))))=>(?[X]:((brave(X)&~kind(X)))))&
(![X]:((~generous(X)&~strong(X))=>(~patient(X)<~>happy(X))))&
(![X]:((~wise(X)|~rich(X))<=>(brave(X)|~patient(X))))&
(((~calm(alic... | strong(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4643609303275202612929040
% SZS output start Proof for 4643609303275202612929040
15. ! [X0] : ((calm(X0) & strong(X0)) <=> (~generous(X0) | ~strong(X0))) [input p14]
25. ~strong(mary) [input hypothesis]
61. ! [X0] : (((calm(X0) & strong(X0)) | (generous(X0) & strong(X0))) & ((~generous(X0... | 0 |
If fred is both kind and not brave then lucy is happy. Everyone who is not old is old. If mary is not tall or not rich then paul is both creative and generous and vice versa. If someone is humble then someone is both not brave and kind and vice versa. Everyone who is both not creative and not strong is not tall or wise... | Susan is kind. | contradiction | (((kind(fred)&~brave(fred)))=>(happy(lucy)))&
(![X]:(~old(X)=>old(X)))&
(((~tall(mary)|~rich(mary)))<=>((creative(paul)&generous(paul))))&
((?[X]:(humble(X)))<=>(?[X]:((~brave(X)&kind(X)))))&
(![X]:((~creative(X)&~strong(X))=>(~tall(X)|wise(X))))&
((?[X]:(wise(X)))=>((curious(john)&~humble(john))))&
(![X]:(~brave(X)<=>... | kind(susan) | [
"p1",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9029248210879432203337151
% SZS output start Proof for 9029248210879432203337151
2. ! [X0] : (~old(X0) => old(X0)) [input p1]
14. ! [X0] : ((~tall(X0) | funny(X0)) <=> (tall(X0) & kind(X0))) [input p13]
15. (tall(fred) <~> ~old(fred)) <=> ~kind(susan) [input p14]
25. kind(susan) [input hy... | 0 |
Everyone who is not old is either not curious or old and vice versa.
Everyone who is both not wise and not patient is wise.
If susan is either not old or not patient then paul is either humble or not kind and vice versa.
Everyone who is either not wise or not creative is either not calm or happy.
If fred is humble or b... | Fred is not curious. | entailment | (![X]:(~old(X)<=>(~curious(X)<~>old(X))))&
(![X]:((~wise(X)&~patient(X))=>wise(X)))&
(((~old(susan)<~>~patient(susan)))<=>((humble(paul)<~>~kind(paul))))&
(![X]:((~wise(X)<~>~creative(X))=>(~calm(X)<~>happy(X))))&
(((humble(fred)|brave(fred)))<=>(?[X]:((~old(X)&~generous(X)))))&
((calm(john))<=>(?[X]:((~funny(X)&~calm(... | ~curious(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7512793061146326450751218
% SZS output start Proof for 7512793061146326450751218
1. ! [X0] : (~old(X0) <=> (~curious(X0) <~> old(X0))) [input p0]
24. curious(fred) [input hypothesis]
32. ! [X0] : ((~old(X0) | ((~curious(X0) | ~old(X0)) & (old(X0) | curious(X0)))) & (((~old(X0) | curious(X... | 0 |
Everyone who is either not generous or not kind is wise. If alice is either calm or humble then susan is both not wise and not quiet and vice versa. Everyone who is both not brave and not curious is both not patient and not tall and vice versa. If susan is either quiet or curious then someone is either not wise or not ... | Fred is old. | neutral | (![X]:((~generous(X)<~>~kind(X))=>wise(X)))&
(((calm(alice)<~>humble(alice)))<=>((~wise(susan)&~quiet(susan))))&
(![X]:((~brave(X)&~curious(X))<=>(~patient(X)&~tall(X))))&
(((quiet(susan)<~>curious(susan)))<=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((~rich(X)&~calm(X))<=>(tall(X)<~>~wise(X))))&
(![X]:(wise(X)=>(~wise(X)&... | old(fred) | [] | null | 0 |
Everyone who is either strong or not brave is curious or kind and vice versa.
If someone is both humble and not funny then someone is either not funny or patient and vice versa.
If someone is either kind or rich then someone is either wise or patient and vice versa.
Everyone who is either happy or not humble is either ... | Paul is not generous. | neutral | (![X]:((strong(X)<~>~brave(X))<=>(curious(X)|kind(X))))&
((?[X]:((humble(X)&~funny(X))))<=>(?[X]:((~funny(X)<~>patient(X)))))&
((?[X]:((kind(X)<~>rich(X))))<=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:((happy(X)<~>~humble(X))=>(wise(X)<~>~rich(X))))&
((?[X]:((funny(X)<~>old(X))))<=>(?[X]:(~strong(X))))&
(![X]:((funny(X)|... | ~generous(paul) | [] | null | 0 |
If someone is not curious or patient then john is funny. If john is both humble and not brave then john is not brave or not curious and vice versa. If susan is not creative or not tall then mary is either patient or funny. If someone is not brave or tall then someone is either not funny or not tall and vice versa. If f... | Susan is quiet. | neutral | ((?[X]:((~curious(X)|patient(X))))=>(funny(john)))&
(((humble(john)&~brave(john)))<=>((~brave(john)|~curious(john))))&
(((~creative(susan)|~tall(susan)))=>((patient(mary)<~>funny(mary))))&
((?[X]:((~brave(X)|tall(X))))<=>(?[X]:((~funny(X)<~>~tall(X)))))&
(((strong(fred)<~>curious(fred)))=>(?[X]:(brave(X))))&
(![X]:(kin... | quiet(susan) | [] | null | 0 |
If someone is brave then mary is not funny or not rich and vice versa.
Everyone who is brave or rich is happy or quiet and vice versa.
If someone is both not humble and not generous then someone is either not creative or kind.
If someone is not wise or generous then someone is not generous or not curious and vice versa... | Susan is wise. | neutral | ((?[X]:(brave(X)))<=>((~funny(mary)|~rich(mary))))&
(![X]:((brave(X)|rich(X))<=>(happy(X)|quiet(X))))&
((?[X]:((~humble(X)&~generous(X))))=>(?[X]:((~creative(X)<~>kind(X)))))&
((?[X]:((~wise(X)|generous(X))))<=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:(tall(X)<=>(tall(X)|~tall(X))))&
(((happy(susan)|~tall(susan)))<=... | wise(susan) | [] | null | 0 |
If someone is either not wise or patient then fred is either not curious or strong and vice versa. Everyone who is not kind or not happy is not creative. Everyone who is both not rich and happy is kind or funny and vice versa. If someone is not brave then alice is generous or not funny and vice versa. Everyone who is b... | Lucy is not patient. | entailment | ((?[X]:((~wise(X)<~>patient(X))))<=>((~curious(fred)<~>strong(fred))))&
(![X]:((~kind(X)|~happy(X))=>~creative(X)))&
(![X]:((~rich(X)&happy(X))<=>(kind(X)|funny(X))))&
((?[X]:(~brave(X)))<=>((generous(alice)|~funny(alice))))&
(![X]:((~curious(X)&~creative(X))=>(~brave(X)|tall(X))))&
(![X]:((old(X)|creative(X))<=>~happy... | ~patient(lucy) | [
"p2",
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8089897180514821361505779
% SZS output start Proof for 8089897180514821361505779
3. ! [X0] : ((happy(X0) & ~rich(X0)) <=> (funny(X0) | kind(X0))) [input p2]
6. ! [X0] : ((creative(X0) | old(X0)) <=> ~happy(X0)) [input p5]
7. ! [X0] : (~curious(X0) => (~generous(X0) & funny(X0))) [input p6... | 0 |
Everyone who is both creative and not strong is not old or strong.
Everyone who is not wise or generous is either calm or old and vice versa.
If fred is humble then lucy is not curious or old.
Everyone who is both creative and kind is not tall or not rich and vice versa.
If someone is both not quiet and quiet then some... | Fred is not old. | neutral | (![X]:((creative(X)&~strong(X))=>(~old(X)|strong(X))))&
(![X]:((~wise(X)|generous(X))<=>(calm(X)<~>old(X))))&
((humble(fred))=>((~curious(lucy)|old(lucy))))&
(![X]:((creative(X)&kind(X))<=>(~tall(X)|~rich(X))))&
((?[X]:((~quiet(X)&quiet(X))))=>(?[X]:(~funny(X))))&
(![X]:((~curious(X)<~>~quiet(X))<=>(tall(X)|brave(X))))... | ~old(fred) | [] | null | 0 |
Everyone who is both wise and happy is curious or not brave.
If fred is both generous and not patient then someone is both humble and generous.
Everyone who is not generous or not strong is both wise and not funny and vice versa.
Everyone who is not curious or not creative is either rich or curious and vice versa.
Ever... | Fred is brave. | neutral | (![X]:((wise(X)&happy(X))=>(curious(X)|~brave(X))))&
(((generous(fred)&~patient(fred)))=>(?[X]:((humble(X)&generous(X)))))&
(![X]:((~generous(X)|~strong(X))<=>(wise(X)&~funny(X))))&
(![X]:((~curious(X)|~creative(X))<=>(rich(X)<~>curious(X))))&
(![X]:((~old(X)&~generous(X))<=>(generous(X)<~>~creative(X))))&
(((tall(paul... | brave(fred) | [] | null | 0 |
Everyone who is either old or happy is either not kind or not calm and vice versa.
Everyone who is both not tall and curious is either not brave or old and vice versa.
If someone is not calm then someone is not tall or wise and vice versa.
If john is rich then john is either brave or not quiet.
Everyone who is either n... | Alice is humble. | neutral | (![X]:((old(X)<~>happy(X))<=>(~kind(X)<~>~calm(X))))&
(![X]:((~tall(X)&curious(X))<=>(~brave(X)<~>old(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~tall(X)|wise(X)))))&
((rich(john))=>((brave(john)<~>~quiet(john))))&
(![X]:((~kind(X)<~>~wise(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((~patient(X)&~wise(X))=>(~funny(X)|rich(X))))&
(!... | humble(alice) | [] | null | 0 |
Everyone who is strong or not curious is either happy or not curious and vice versa. If paul is not old or generous then someone is brave. Everyone who is either kind or not kind is both old and not wise. If someone is either quiet or not patient then someone is both generous and not brave and vice versa. If someone is... | Paul is patient. | contradiction | (![X]:((strong(X)|~curious(X))<=>(happy(X)<~>~curious(X))))&
(((~old(paul)|generous(paul)))=>(?[X]:(brave(X))))&
(![X]:((kind(X)<~>~kind(X))=>(old(X)&~wise(X))))&
((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((calm(X)|curious(X))))=>((kind(paul)|rich(paul))))&
((?[X]:((~quiet(X)|wise(X... | patient(paul) | [
"p2",
"p3",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 366064522674878886793216
% SZS output start Proof for 366064522674878886793216
3. ! [X0] : ((kind(X0) <~> ~kind(X0)) => (~wise(X0) & old(X0))) [input p2]
4. ? [X0] : (quiet(X0) <~> ~patient(X0)) <=> ? [X0] : (~brave(X0) & generous(X0)) [input p3]
11. ! [X0] : ((~old(X0) | old(X0)) => (~cu... | 0 |
If someone is not old or patient then fred is wise or not rich.
Everyone who is both tall and patient is both not generous and humble and vice versa.
Everyone who is tall is both not happy and creative and vice versa.
Everyone who is quiet is curious and vice versa.
Everyone who is both funny and quiet is either tall o... | Fred is not tall. | contradiction | ((?[X]:((~old(X)|patient(X))))=>((wise(fred)|~rich(fred))))&
(![X]:((tall(X)&patient(X))<=>(~generous(X)&humble(X))))&
(![X]:(tall(X)<=>(~happy(X)&creative(X))))&
(![X]:(quiet(X)<=>curious(X)))&
(![X]:((funny(X)&quiet(X))<=>(tall(X)<~>patient(X))))&
((?[X]:((wise(X)|~generous(X))))<=>(?[X]:((happy(X)<~>tall(X)))))&
(![... | ~tall(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2579197911368185260623660
% SZS output start Proof for 2579197911368185260623660
13. ! [X0] : ((tall(X0) <~> ~creative(X0)) <=> (creative(X0) | tall(X0))) [input p12]
23. ~tall(fred) [input hypothesis]
55. ! [X0] : ((((creative(X0) | ~tall(X0)) & (~creative(X0) | tall(X0))) | (~creative(X... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.