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 alice is either patient or old then someone is humble or not humble. If someone is both funny and not tall then lucy is both generous and curious. Everyone who is either calm or not happy is not kind or happy and vice versa. Everyone who is not patient or patient is both not humble and not funny and vice versa. Ever... | Alice is calm. | contradiction | (((patient(alice)<~>old(alice)))=>(?[X]:((humble(X)|~humble(X)))))&
((?[X]:((funny(X)&~tall(X))))=>((generous(lucy)&curious(lucy))))&
(![X]:((calm(X)<~>~happy(X))<=>(~kind(X)|happy(X))))&
(![X]:((~patient(X)|patient(X))<=>(~humble(X)&~funny(X))))&
(![X]:(~old(X)<=>(~funny(X)&~calm(X))))&
(![X]:((~kind(X)<~>happy(X))=>(... | calm(alice) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 41406994713995758841589
% SZS output start Proof for 41406994713995758841589
4. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (~funny(X0) & ~humble(X0))) [input p3]
14. ! [X0] : (calm(X0) <=> funny(X0)) [input p13]
20. calm(alice) [input hypothesis]
32. ! [X0] : (((patient(X0) | ~patient(X0)... | 0 |
Everyone who is brave is both not rich and not generous.
Everyone who is both tall and not tall is humble or quiet and vice versa.
Everyone who is strong is not generous or humble and vice versa.
Everyone who is happy is both not tall and patient.
If someone is not rich then mary is not tall or not brave.
Everyone who ... | Mary is happy. | contradiction | (![X]:(brave(X)=>(~rich(X)&~generous(X))))&
(![X]:((tall(X)&~tall(X))<=>(humble(X)|quiet(X))))&
(![X]:(strong(X)<=>(~generous(X)|humble(X))))&
(![X]:(happy(X)=>(~tall(X)&patient(X))))&
((?[X]:(~rich(X)))=>((~tall(mary)|~brave(mary))))&
(![X]:(~curious(X)<=>(tall(X)|~calm(X))))&
((?[X]:((curious(X)|kind(X))))<=>(?[X]:((... | happy(mary) | [
"p0",
"p1",
"p3",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7819010706383835183550334
% SZS output start Proof for 7819010706383835183550334
1. ! [X0] : (brave(X0) => (~generous(X0) & ~rich(X0))) [input p0]
2. ! [X0] : ((~tall(X0) & tall(X0)) <=> (quiet(X0) | humble(X0))) [input p1]
4. ! [X0] : (happy(X0) => (patient(X0) & ~tall(X0))) [input p3]
7... | 0 |
If someone is both humble and funny then someone is calm or old. If someone is either not humble or not quiet then lucy is either not creative or kind. Everyone who is both old and tall is either not kind or quiet and vice versa. Everyone who is patient is old or not patient and vice versa. Everyone who is both quiet a... | Mary is not tall. | contradiction | ((?[X]:((humble(X)&funny(X))))=>(?[X]:((calm(X)|old(X)))))&
((?[X]:((~humble(X)<~>~quiet(X))))=>((~creative(lucy)<~>kind(lucy))))&
(![X]:((old(X)&tall(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:(patient(X)<=>(old(X)|~patient(X))))&
(![X]:((quiet(X)&calm(X))=>(~brave(X)&~happy(X))))&
(![X]:((creative(X)<~>old(X))=>~old(X)))&
... | ~tall(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4850597360102689418737559
% SZS output start Proof for 4850597360102689418737559
15. ! [X0] : ((~brave(X0) & tall(X0)) <=> ~tall(X0)) [input p14]
23. ~tall(mary) [input hypothesis]
62. ! [X0] : (((~brave(X0) & tall(X0)) | tall(X0)) & (~tall(X0) | (brave(X0) | ~tall(X0)))) [nnf transformat... | 0 |
If someone is generous then someone is patient.
Everyone who is not happy or kind is happy or not tall and vice versa.
Everyone who is strong is both curious and not strong and vice versa.
If john is both not quiet and happy then someone is not tall.
Everyone who is either not happy or quiet is not brave.
Everyone who ... | Lucy is tall. | contradiction | ((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
(![X]:((~happy(X)|kind(X))<=>(happy(X)|~tall(X))))&
(![X]:(strong(X)<=>(curious(X)&~strong(X))))&
(((~quiet(john)&happy(john)))=>(?[X]:(~tall(X))))&
(![X]:((~happy(X)<~>quiet(X))=>~brave(X)))&
(![X]:((brave(X)<~>~creative(X))=>happy(X)))&
((?[X]:((~old(X)&~quiet(X))))=>(?[X]... | tall(lucy) | [
"p1",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3361727970566110928134839
% SZS output start Proof for 3361727970566110928134839
2. ! [X0] : ((kind(X0) | ~happy(X0)) <=> (~tall(X0) | happy(X0))) [input p1]
9. ! [X0] : (~funny(X0) <=> (~brave(X0) & ~happy(X0))) [input p8]
12. ! [X0] : (~calm(X0) <=> (funny(X0) & calm(X0))) [input p11]
2... | 0 |
If someone is wise or happy then someone is both not kind and not brave and vice versa. Everyone who is either quiet or creative is both not quiet and not calm. If john is not funny or not strong then fred is either rich or not creative. Everyone who is both not creative and quiet is not strong or tall and vice versa. ... | Lucy is creative. | contradiction | ((?[X]:((wise(X)|happy(X))))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:((quiet(X)<~>creative(X))=>(~quiet(X)&~calm(X))))&
(((~funny(john)|~strong(john)))=>((rich(fred)<~>~creative(fred))))&
(![X]:((~creative(X)&quiet(X))<=>(~strong(X)|tall(X))))&
((~brave(lucy))<=>(?[X]:((funny(X)&~old(X)))))&
(((funny(lucy)&~happy(lucy)... | creative(lucy) | [
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6782138944459596880469843
% SZS output start Proof for 6782138944459596880469843
17. brave(lucy) | ~creative(lucy) [input p16]
18. curious(lucy) & ~brave(lucy) [input p17]
25. creative(lucy) [input hypothesis]
131. brave(lucy) | ~creative(lucy) [cnf transformation 17]
132. ~brave(lucy) [c... | 0 |
Everyone who is either not curious or not funny is funny. If someone is either not calm or not quiet then someone is both not old and creative and vice versa. If lucy is not generous then someone is not brave and vice versa. If someone is not kind then someone is funny and vice versa. Everyone who is not strong or not ... | Susan is not generous. | entailment | (![X]:((~curious(X)<~>~funny(X))=>funny(X)))&
((?[X]:((~calm(X)<~>~quiet(X))))<=>(?[X]:((~old(X)&creative(X)))))&
((~generous(lucy))<=>(?[X]:(~brave(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(funny(X))))&
(![X]:((~strong(X)|~happy(X))<=>(humble(X)&~humble(X))))&
((?[X]:((calm(X)&curious(X))))<=>((happy(mary)|generous(mary))))&... | ~generous(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4985960863177768735768865
% SZS output start Proof for 4985960863177768735768865
15. ! [X0] : ((~calm(X0) & calm(X0)) <=> (generous(X0) | ~patient(X0))) [input p14]
21. generous(susan) [input hypothesis]
69. ! [X0] : (((~calm(X0) & calm(X0)) | (~generous(X0) & patient(X0))) & ((generous(X... | 0 |
If someone is either not rich or creative then lucy is tall or not creative and vice versa.
If paul is old or generous then someone is not generous and vice versa.
Everyone who is creative or not wise is happy or not old and vice versa.
Everyone who is both strong and patient is old and vice versa.
Everyone who is both... | Susan is generous. | entailment | ((?[X]:((~rich(X)<~>creative(X))))<=>((tall(lucy)|~creative(lucy))))&
(((old(paul)|generous(paul)))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)|~wise(X))<=>(happy(X)|~old(X))))&
(![X]:((strong(X)&patient(X))<=>old(X)))&
(![X]:((happy(X)&~calm(X))<=>(brave(X)|humble(X))))&
(![X]:((rich(X)&calm(X))=>(~wise(X)|~happy(X)... | generous(susan) | [
"p4",
"p7",
"p14",
"p17",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6311482773240119760643740
% SZS output start Proof for 6311482773240119760643740
5. ! [X0] : ((~calm(X0) & happy(X0)) <=> (humble(X0) | brave(X0))) [input p4]
8. ! [X0] : (strong(X0) => (generous(X0) | ~wise(X0))) [input p7]
15. ! [X0] : (~happy(X0) <=> (~wise(X0) | ~strong(X0))) [input p... | 0 |
If someone is either not quiet or kind then someone is humble or creative and vice versa.
Everyone who is happy is either not rich or not patient.
Everyone who is both not rich and not tall is not wise.
If someone is both strong and humble then someone is either not humble or rich.
Everyone who is either not curious or... | Alice is strong. | contradiction | ((?[X]:((~quiet(X)<~>kind(X))))<=>(?[X]:((humble(X)|creative(X)))))&
(![X]:(happy(X)=>(~rich(X)<~>~patient(X))))&
(![X]:((~rich(X)&~tall(X))=>~wise(X)))&
((?[X]:((strong(X)&humble(X))))=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~curious(X)<~>strong(X))=>(~curious(X)|old(X))))&
(![X]:(~curious(X)<=>(~patient(X)|brave(X... | strong(alice) | [
"p5",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5233384649400276571376721
% SZS output start Proof for 5233384649400276571376721
6. ! [X0] : (~curious(X0) <=> (brave(X0) | ~patient(X0))) [input p5]
7. ! [X0] : (~brave(X0) => (~strong(X0) & ~wise(X0))) [input p6]
19. ~old(alice) & curious(alice) [input p18]
24. strong(alice) [input hypo... | 0 |
Everyone who is not funny or creative is not humble and vice versa. If paul is either creative or curious then someone is not generous or rich. If someone is either not rich or not calm then fred is not old. If john is either creative or not strong then someone is not quiet or strong and vice versa. If someone is brave... | Lucy is creative. | contradiction | (![X]:((~funny(X)|creative(X))<=>~humble(X)))&
(((creative(paul)<~>curious(paul)))=>(?[X]:((~generous(X)|rich(X)))))&
((?[X]:((~rich(X)<~>~calm(X))))=>(~old(fred)))&
(((creative(john)<~>~strong(john)))<=>(?[X]:((~quiet(X)|strong(X)))))&
((?[X]:((brave(X)|kind(X))))=>(curious(mary)))&
(![X]:((~strong(X)<~>tall(X))=>(~fu... | creative(lucy) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 615166766226233200675631
% SZS output start Proof for 615166766226233200675631
1. ! [X0] : ((creative(X0) | ~funny(X0)) <=> ~humble(X0)) [input p0]
10. ! [X0] : ((~patient(X0) & patient(X0)) <=> ~humble(X0)) [input p9]
21. creative(lucy) [input hypothesis]
32. ! [X0] : (((creative(X0) | ~... | 0 |
Everyone who is both not kind and not strong is humble or not funny.
Everyone who is not kind or not funny is not humble or not calm.
Everyone who is old or not generous is not tall or old.
If someone is either not humble or not calm then paul is both not creative and rich and vice versa.
If someone is either not humbl... | Fred is patient. | neutral | (![X]:((~kind(X)&~strong(X))=>(humble(X)|~funny(X))))&
(![X]:((~kind(X)|~funny(X))=>(~humble(X)|~calm(X))))&
(![X]:((old(X)|~generous(X))=>(~tall(X)|old(X))))&
((?[X]:((~humble(X)<~>~calm(X))))<=>((~creative(paul)&rich(paul))))&
((?[X]:((~humble(X)<~>happy(X))))<=>(humble(john)))&
(((~kind(susan)&curious(susan)))<=>((~... | patient(fred) | [] | null | 0 |
Everyone who is both old and not quiet is either not kind or not curious and vice versa.
Everyone who is both curious and not curious is either generous or quiet and vice versa.
Everyone who is not happy is both not calm and not tall.
If john is either not wise or not humble then someone is strong or not calm.
If alice... | Mary is wise. | contradiction | (![X]:((old(X)&~quiet(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:((curious(X)&~curious(X))<=>(generous(X)<~>quiet(X))))&
(![X]:(~happy(X)=>(~calm(X)&~tall(X))))&
(((~wise(john)<~>~humble(john)))=>(?[X]:((strong(X)|~calm(X)))))&
(((~funny(alice)&humble(alice)))<=>((old(lucy)&~tall(lucy))))&
(![X]:((~patient(X)<~>brave(X))<... | wise(mary) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 793702937623106202833611
% SZS output start Proof for 793702937623106202833611
1. ! [X0] : ((~quiet(X0) & old(X0)) <=> (~kind(X0) <~> ~curious(X0))) [input p0]
7. ! [X0] : ((~creative(X0) | tall(X0)) => (~brave(X0) <~> ~creative(X0))) [input p6]
8. ! [X0] : ((~curious(X0) | ~quiet(X0)) <=... | 0 |
Everyone who is either not funny or generous is either quiet or patient.
If lucy is both not rich and generous then lucy is both not quiet and old and vice versa.
If fred is not quiet or not strong then mary is not calm and vice versa.
If mary is either not curious or not quiet then someone is both not kind and curious... | Mary is old. | contradiction | (![X]:((~funny(X)<~>generous(X))=>(quiet(X)<~>patient(X))))&
(((~rich(lucy)&generous(lucy)))<=>((~quiet(lucy)&old(lucy))))&
(((~quiet(fred)|~strong(fred)))<=>(~calm(mary)))&
(((~curious(mary)<~>~quiet(mary)))<=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((old(X)<~>brave(X))<=>~tall(X)))&
((?[X]:(old(X)))<=>((~happy(alice)&... | old(mary) | [
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 667909737377657545710020
% SZS output start Proof for 667909737377657545710020
6. ? [X0] : old(X0) <=> (brave(alice) & ~happy(alice)) [input p5]
7. ! [X0] : ((~generous(X0) | humble(X0)) <=> (quiet(X0) <~> tall(X0))) [input p6]
9. ! [X0] : ((~tall(X0) | generous(X0)) => (~brave(X0) & ~hap... | 0 |
Everyone who is both happy and wise is not quiet or quiet and vice versa. If someone is either humble or patient then paul is old. Everyone who is not strong or kind is both wise and happy and vice versa. Everyone who is not calm or not happy is wise or curious. Everyone who is both kind and not humble is not strong or... | Susan is not tall. | entailment | (![X]:((happy(X)&wise(X))<=>(~quiet(X)|quiet(X))))&
((?[X]:((humble(X)<~>patient(X))))=>(old(paul)))&
(![X]:((~strong(X)|kind(X))<=>(wise(X)&happy(X))))&
(![X]:((~calm(X)|~happy(X))=>(wise(X)|curious(X))))&
(![X]:((kind(X)&~humble(X))<=>(~strong(X)|~patient(X))))&
((?[X]:((old(X)&humble(X))))=>(?[X]:((~humble(X)<~>wise... | ~tall(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1011936783236053578996476
% SZS output start Proof for 1011936783236053578996476
22. ~tall(susan) & funny(susan) [input p21]
23. tall(susan) [input hypothesis]
139. ~tall(susan) [cnf transformation 22]
140. tall(susan) [cnf transformation 23]
264. 24 <=> tall(susan) [avatar definition]
26... | 0 |
If lucy is not happy or not generous then someone is either not rich or quiet and vice versa.
Everyone who is humble is either not rich or happy.
If someone is not rich then someone is rich or not creative.
Everyone who is not creative or rich is not quiet and vice versa.
Everyone who is tall is both not rich and patie... | Lucy is quiet. | neutral | (((~happy(lucy)|~generous(lucy)))<=>(?[X]:((~rich(X)<~>quiet(X)))))&
(![X]:(humble(X)=>(~rich(X)<~>happy(X))))&
((?[X]:(~rich(X)))=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((~creative(X)|rich(X))<=>~quiet(X)))&
(![X]:(tall(X)<=>(~rich(X)&patient(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~creative(X)&strong(X)))))&
(((~curious... | quiet(lucy) | [] | null | 0 |
Everyone who is either quiet or not strong is both happy and not quiet and vice versa.
Everyone who is not old is quiet and vice versa.
If mary is either not strong or humble then someone is either humble or strong.
Everyone who is either not patient or not wise is not quiet or wise and vice versa.
Everyone who is eith... | Susan is not calm. | neutral | (![X]:((quiet(X)<~>~strong(X))<=>(happy(X)&~quiet(X))))&
(![X]:(~old(X)<=>quiet(X)))&
(((~strong(mary)<~>humble(mary)))=>(?[X]:((humble(X)<~>strong(X)))))&
(![X]:((~patient(X)<~>~wise(X))<=>(~quiet(X)|wise(X))))&
(![X]:((~rich(X)<~>~wise(X))<=>(~quiet(X)|funny(X))))&
((?[X]:(humble(X)))<=>(?[X]:((old(X)|~patient(X)))))... | ~calm(susan) | [] | null | 0 |
Everyone who is both not calm and not strong is either brave or tall and vice versa.
Everyone who is old is both humble and not kind and vice versa.
Everyone who is old is calm or not wise and vice versa.
If lucy is tall or rich then someone is not creative.
If susan is either generous or not humble then someone is eit... | Lucy is not quiet. | contradiction | (![X]:((~calm(X)&~strong(X))<=>(brave(X)<~>tall(X))))&
(![X]:(old(X)<=>(humble(X)&~kind(X))))&
(![X]:(old(X)<=>(calm(X)|~wise(X))))&
(((tall(lucy)|rich(lucy)))=>(?[X]:(~creative(X))))&
(((generous(susan)<~>~humble(susan)))<=>(?[X]:((~generous(X)<~>funny(X)))))&
(![X]:((~curious(X)|tall(X))=>(quiet(X)<~>~humble(X))))&
(... | ~quiet(lucy) | [
"p1",
"p2",
"p5",
"p9",
"p10",
"p12",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3326732265872060288913860
% SZS output start Proof for 3326732265872060288913860
2. ! [X0] : (old(X0) <=> (~kind(X0) & humble(X0))) [input p1]
3. ! [X0] : (old(X0) <=> (~wise(X0) | calm(X0))) [input p2]
6. ! [X0] : ((tall(X0) | ~curious(X0)) => (quiet(X0) <~> ~humble(X0))) [input p5]
10. ... | 0 |
If alice is rich then fred is creative or happy.
Everyone who is both not kind and not funny is not humble or not funny.
Everyone who is both not generous and patient is both not brave and not patient.
If alice is brave then paul is not quiet.
Everyone who is generous or not funny is either not brave or not rich and vi... | Paul is not brave. | entailment | ((rich(alice))=>((creative(fred)|happy(fred))))&
(![X]:((~kind(X)&~funny(X))=>(~humble(X)|~funny(X))))&
(![X]:((~generous(X)&patient(X))=>(~brave(X)&~patient(X))))&
((brave(alice))=>(~quiet(paul)))&
(![X]:((generous(X)|~funny(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~wise(X)=>(~funny(X)|calm(X))))&
((?[X]:((curious(X)|~r... | ~brave(paul) | [
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8580116763349326634519807
% SZS output start Proof for 8580116763349326634519807
14. ! [X0] : ((kind(X0) | ~generous(X0)) <=> ~brave(X0)) [input p13]
24. kind(paul) [input p23]
25. brave(paul) [input hypothesis]
62. ! [X0] : (((kind(X0) | ~generous(X0)) | brave(X0)) & (~brave(X0) | (~kind... | 0 |
If fred is rich then alice is generous or not quiet.
If someone is both curious and not quiet then someone is both not wise and not generous.
If john is strong then someone is not tall or kind.
Everyone who is both not patient and not wise is both not humble and not patient.
Everyone who is strong or not tall is both n... | Susan is not generous. | contradiction | ((rich(fred))=>((generous(alice)|~quiet(alice))))&
((?[X]:((curious(X)&~quiet(X))))=>(?[X]:((~wise(X)&~generous(X)))))&
((strong(john))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:((~patient(X)&~wise(X))=>(~humble(X)&~patient(X))))&
(![X]:((strong(X)|~tall(X))=>(~calm(X)&rich(X))))&
(![X]:((~quiet(X)|~humble(X))=>(old(X)<~>qu... | ~generous(susan) | [
"p1",
"p5",
"p6",
"p8",
"p10",
"p11",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4780310644930722837111758
% SZS output start Proof for 4780310644930722837111758
2. ? [X0] : (~quiet(X0) & curious(X0)) => ? [X0] : (~generous(X0) & ~wise(X0)) [input p1]
6. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (old(X0) <~> quiet(X0))) [input p5]
7. ! [X0] : (~generous(X0) => funny(X0)... | 0 |
If mary is either kind or not old then someone is either wise or tall. Everyone who is both funny and not patient is either tall or not happy. If someone is either wise or not happy then someone is either calm or not tall. Everyone who is quiet or not humble is not wise. If susan is either calm or patient then lucy is ... | Fred is not calm. | entailment | (((kind(mary)<~>~old(mary)))=>(?[X]:((wise(X)<~>tall(X)))))&
(![X]:((funny(X)&~patient(X))=>(tall(X)<~>~happy(X))))&
((?[X]:((wise(X)<~>~happy(X))))=>(?[X]:((calm(X)<~>~tall(X)))))&
(![X]:((quiet(X)|~humble(X))=>~wise(X)))&
(((calm(susan)<~>patient(susan)))=>(kind(lucy)))&
((?[X]:((~generous(X)|brave(X))))=>((~humble(p... | ~calm(fred) | [
"p6",
"p7",
"p10",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8987499709772969732997488
% SZS output start Proof for 8987499709772969732997488
7. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~quiet(X0) <~> ~rich(X0))) [input p6]
8. ! [X0] : ((~generous(X0) | old(X0)) <=> (curious(X0) & generous(X0))) [input p7]
11. ! [X0] : ((rich(X0) & strong(X0)) => ... | 0 |
If alice is both happy and not funny then lucy is either humble or not creative.
If someone is both tall and not kind then someone is not old and vice versa.
If fred is either not rich or not humble then mary is both calm and not kind and vice versa.
Everyone who is both brave and calm is both not rich and not brave an... | Mary is rich. | entailment | (((happy(alice)&~funny(alice)))=>((humble(lucy)<~>~creative(lucy))))&
((?[X]:((tall(X)&~kind(X))))<=>(?[X]:(~old(X))))&
(((~rich(fred)<~>~humble(fred)))<=>((calm(mary)&~kind(mary))))&
(![X]:((brave(X)&calm(X))<=>(~rich(X)&~brave(X))))&
(![X]:((~happy(X)&~generous(X))=>(~wise(X)<~>humble(X))))&
(![X]:(~calm(X)=>brave(X)... | rich(mary) | [
"p3",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4695855453288239140336835
% SZS output start Proof for 4695855453288239140336835
4. ! [X0] : ((calm(X0) & brave(X0)) <=> (~brave(X0) & ~rich(X0))) [input p3]
12. ! [X0] : ((patient(X0) | ~wise(X0)) => ~tall(X0)) [input p11]
13. ! [X0] : ((funny(X0) | ~tall(X0)) <=> calm(X0)) [input p12]
1... | 0 |
Everyone who is both not calm and funny is both happy and strong and vice versa.
Everyone who is not kind or not humble is both strong and not rich.
If someone is wise then lucy is not humble.
If someone is wise or not creative then paul is not curious.
If susan is either not tall or not wise then john is both patient ... | John is not wise. | entailment | (![X]:((~calm(X)&funny(X))<=>(happy(X)&strong(X))))&
(![X]:((~kind(X)|~humble(X))=>(strong(X)&~rich(X))))&
((?[X]:(wise(X)))=>(~humble(lucy)))&
((?[X]:((wise(X)|~creative(X))))=>(~curious(paul)))&
(((~tall(susan)<~>~wise(susan)))<=>((patient(john)&old(john))))&
(![X]:(calm(X)=>(funny(X)<~>old(X))))&
((?[X]:(brave(X)))<... | ~wise(john) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 394575702199465363953893
% SZS output start Proof for 394575702199465363953893
2. ! [X0] : ((~humble(X0) | ~kind(X0)) => (~rich(X0) & strong(X0))) [input p1]
14. ! [X0] : ((wise(X0) | ~quiet(X0)) <=> (~strong(X0) & ~kind(X0))) [input p13]
23. wise(john) [input hypothesis]
26. ! [X0] : ((~... | 0 |
Everyone who is not strong is quiet or not funny and vice versa. If someone is wise or not generous then someone is not funny or rich. If someone is rich then mary is both rich and tall. If someone is not patient or not rich then mary is both not wise and kind and vice versa. If someone is humble or not happy then some... | Mary is generous. | neutral | (![X]:(~strong(X)<=>(quiet(X)|~funny(X))))&
((?[X]:((wise(X)|~generous(X))))=>(?[X]:((~funny(X)|rich(X)))))&
((?[X]:(rich(X)))=>((rich(mary)&tall(mary))))&
((?[X]:((~patient(X)|~rich(X))))<=>((~wise(mary)&kind(mary))))&
((?[X]:((humble(X)|~happy(X))))=>(?[X]:((happy(X)&quiet(X)))))&
(![X]:((~funny(X)|~generous(X))<=>~k... | generous(mary) | [] | null | 0 |
If someone is not strong or not humble then someone is not rich or not tall.
Everyone who is both humble and tall is not humble or rich.
Everyone who is not creative is not rich and vice versa.
Everyone who is both old and wise is not patient and vice versa.
If someone is either not wise or quiet then someone is either... | Mary is calm. | entailment | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&wise(X))<=>~patient(X)))&
((?[X]:((~wise(X)<~>quiet(X))))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:(~patient(X)<=>(rich(X)<~>~old(X))))&
(![X]:((~rich(X)|... | calm(mary) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7399926304309699450141717
% SZS output start Proof for 7399926304309699450141717
3. ! [X0] : (~creative(X0) <=> ~rich(X0)) [input p2]
4. ! [X0] : ((wise(X0) & old(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~old(X0))) [input p5]
7. ! [X0] : ((~old(X0) | ~... | 0 |
If susan is kind or calm then someone is not wise and vice versa.
Everyone who is either not generous or humble is either not wise or not kind and vice versa.
Everyone who is not creative is both funny and creative.
Everyone who is not funny is either strong or not rich and vice versa.
If lucy is both rich and not happ... | Mary is not happy. | contradiction | (((kind(susan)|calm(susan)))<=>(?[X]:(~wise(X))))&
(![X]:((~generous(X)<~>humble(X))<=>(~wise(X)<~>~kind(X))))&
(![X]:(~creative(X)=>(funny(X)&creative(X))))&
(![X]:(~funny(X)<=>(strong(X)<~>~rich(X))))&
(((rich(lucy)&~happy(lucy)))=>(?[X]:((~calm(X)|humble(X)))))&
(((~brave(lucy)&~curious(lucy)))<=>(?[X]:((generous(X)... | ~happy(mary) | [
"p6",
"p8",
"p10",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 580053457217580949978713
% SZS output start Proof for 580053457217580949978713
7. ! [X0] : (~happy(X0) <=> curious(X0)) [input p6]
9. (~brave(mary) & ~curious(mary)) <=> ? [X0] : ~generous(X0) [input p8]
11. ! [X0] : ((strong(X0) | tall(X0)) <=> (humble(X0) & ~calm(X0))) [input p10]
13. !... | 0 |
Everyone who is not generous is both not happy and not funny and vice versa. If lucy is both not creative and old then someone is strong and vice versa. If someone is either not creative or creative then alice is either rich or kind and vice versa. Everyone who is both not rich and not happy is strong. If fred is kind ... | Alice is rich. | contradiction | (![X]:(~generous(X)<=>(~happy(X)&~funny(X))))&
(((~creative(lucy)&old(lucy)))<=>(?[X]:(strong(X))))&
((?[X]:((~creative(X)<~>creative(X))))<=>((rich(alice)<~>kind(alice))))&
(![X]:((~rich(X)&~happy(X))=>strong(X)))&
(((kind(fred)|patient(fred)))=>((wise(susan)&~generous(susan))))&
(![X]:(tall(X)=>(~rich(X)&~humble(X)))... | rich(alice) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1156766431193213704238792
% SZS output start Proof for 1156766431193213704238792
3. ? [X0] : (~creative(X0) <~> creative(X0)) <=> (rich(alice) <~> kind(alice)) [input p2]
12. ! [X0] : ((~curious(X0) & kind(X0)) <=> (rich(X0) | ~old(X0))) [input p11]
24. rich(alice) [input hypothesis]
47. ... | 0 |
Everyone who is not wise or not creative is not strong or not old and vice versa. If alice is old or funny then fred is not humble and vice versa. If fred is either not generous or not tall then paul is either not wise or not quiet. Everyone who is wise is both not generous and not rich. If someone is both not quiet an... | Alice is old. | contradiction | (![X]:((~wise(X)|~creative(X))<=>(~strong(X)|~old(X))))&
(((old(alice)|funny(alice)))<=>(~humble(fred)))&
(((~generous(fred)<~>~tall(fred)))=>((~wise(paul)<~>~quiet(paul))))&
(![X]:(wise(X)=>(~generous(X)&~rich(X))))&
((?[X]:((~quiet(X)&wise(X))))<=>(?[X]:((tall(X)<~>~brave(X)))))&
(((~curious(john)<~>happy(john)))<=>(... | old(alice) | [
"p0",
"p3",
"p15",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3012910928831593390725203
% SZS output start Proof for 3012910928831593390725203
1. ! [X0] : ((~creative(X0) | ~wise(X0)) <=> (~old(X0) | ~strong(X0))) [input p0]
4. ! [X0] : (wise(X0) => (~rich(X0) & ~generous(X0))) [input p3]
16. ? [X0] : ~strong(X0) <=> (wise(susan) & strong(susan)) [i... | 0 |
Everyone who is calm or curious is tall or not generous.
If someone is both old and not calm then fred is calm.
Everyone who is not quiet is patient and vice versa.
If john is kind then someone is brave or curious and vice versa.
Everyone who is not generous or creative is rich or funny and vice versa.
Everyone who is ... | John is humble. | neutral | (![X]:((calm(X)|curious(X))=>(tall(X)|~generous(X))))&
((?[X]:((old(X)&~calm(X))))=>(calm(fred)))&
(![X]:(~quiet(X)<=>patient(X)))&
((kind(john))<=>(?[X]:((brave(X)|curious(X)))))&
(![X]:((~generous(X)|creative(X))<=>(rich(X)|funny(X))))&
(![X]:(rich(X)=>(calm(X)&~kind(X))))&
(![X]:(rich(X)<=>(~funny(X)|~creative(X))))... | humble(john) | [] | null | 0 |
If paul is not wise then someone is either tall or funny.
If susan is not quiet then fred is either not brave or not calm.
Everyone who is calm or rich is humble and vice versa.
Everyone who is not brave or calm is both not happy and funny.
Everyone who is both not generous and funny is happy or brave and vice versa.
I... | Alice is not humble. | contradiction | ((~wise(paul))=>(?[X]:((tall(X)<~>funny(X)))))&
((~quiet(susan))=>((~brave(fred)<~>~calm(fred))))&
(![X]:((calm(X)|rich(X))<=>humble(X)))&
(![X]:((~brave(X)|calm(X))=>(~happy(X)&funny(X))))&
(![X]:((~generous(X)&funny(X))<=>(happy(X)|brave(X))))&
(((~creative(fred)|quiet(fred)))<=>(?[X]:(patient(X))))&
(![X]:(generous(... | ~humble(alice) | [
"p3",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 336979265210880115164556
% SZS output start Proof for 336979265210880115164556
4. ! [X0] : ((calm(X0) | ~brave(X0)) => (funny(X0) & ~happy(X0))) [input p3]
5. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (brave(X0) | happy(X0))) [input p4]
8. ! [X0] : (happy(X0) => (~brave(X0) | ~funny(X0)))... | 0 |
If john is both calm and generous then someone is either calm or not patient and vice versa. Everyone who is not calm is brave or not old and vice versa. If lucy is quiet then john is either funny or strong. Everyone who is not tall or rich is tall or not brave and vice versa. Everyone who is patient is both not curiou... | John is brave. | contradiction | (((calm(john)&generous(john)))<=>(?[X]:((calm(X)<~>~patient(X)))))&
(![X]:(~calm(X)<=>(brave(X)|~old(X))))&
((quiet(lucy))=>((funny(john)<~>strong(john))))&
(![X]:((~tall(X)|rich(X))<=>(tall(X)|~brave(X))))&
(![X]:(patient(X)<=>(~curious(X)&~rich(X))))&
(![X]:((~curious(X)<~>curious(X))<=>(old(X)<~>~rich(X))))&
((?[X]:... | brave(john) | [
"p0",
"p1",
"p4",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3251244539697499469864648
% SZS output start Proof for 3251244539697499469864648
1. (generous(john) & calm(john)) <=> ? [X0] : (calm(X0) <~> ~patient(X0)) [input p0]
2. ! [X0] : (~calm(X0) <=> (~old(X0) | brave(X0))) [input p1]
5. ! [X0] : (patient(X0) <=> (~rich(X0) & ~curious(X0))) [inp... | 0 |
If someone is patient or generous then someone is either not quiet or wise.
If someone is either humble or not happy then john is not wise or not rich and vice versa.
Everyone who is not wise or calm is brave or not humble.
Everyone who is rich or not calm is either quiet or not curious and vice versa.
Everyone who is ... | Lucy is not patient. | entailment | ((?[X]:((patient(X)|generous(X))))=>(?[X]:((~quiet(X)<~>wise(X)))))&
((?[X]:((humble(X)<~>~happy(X))))<=>((~wise(john)|~rich(john))))&
(![X]:((~wise(X)|calm(X))=>(brave(X)|~humble(X))))&
(![X]:((rich(X)|~calm(X))<=>(quiet(X)<~>~curious(X))))&
(![X]:(~calm(X)<=>(tall(X)|rich(X))))&
((?[X]:(old(X)))=>(?[X]:((strong(X)&~h... | ~patient(lucy) | [
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5549136937385536018869620
% SZS output start Proof for 5549136937385536018869620
7. ! [X0] : ((~patient(X0) <~> ~humble(X0)) <=> patient(X0)) [input p6]
9. ! [X0] : ((~kind(X0) & ~patient(X0)) <=> (humble(X0) <~> ~kind(X0))) [input p8]
14. ! [X0] : ((~humble(X0) | ~tall(X0)) => ~kind(X0))... | 0 |
If lucy is not wise then someone is not quiet and vice versa.
Everyone who is not generous or wise is either curious or happy.
Everyone who is not rich or not funny is wise.
Everyone who is both not curious and patient is not calm and vice versa.
If paul is either not humble or old then someone is either tall or not hu... | Lucy is generous. | neutral | ((~wise(lucy))<=>(?[X]:(~quiet(X))))&
(![X]:((~generous(X)|wise(X))=>(curious(X)<~>happy(X))))&
(![X]:((~rich(X)|~funny(X))=>wise(X)))&
(![X]:((~curious(X)&patient(X))<=>~calm(X)))&
(((~humble(paul)<~>old(paul)))<=>(?[X]:((tall(X)<~>~humble(X)))))&
(((~quiet(alice)<~>~creative(alice)))<=>((~funny(lucy)&~calm(lucy))))&
... | generous(lucy) | [] | null | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and kind then someone is not old or rich.
If someone is both patient and happy then john is rich.
If mary is funny then someone is not wise or not strong.
Everyone who is curious or not old is brave or not wise.
Ev... | Alice is kind. | contradiction | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&kind(X))))=>(?[X]:((~old(X)|rich(X)))))&
((?[X]:((patient(X)&happy(X))))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient... | kind(alice) | [
"p6",
"p7",
"p8",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5499636175950318987396597
% SZS output start Proof for 5499636175950318987396597
7. ! [X0] : (brave(X0) <=> patient(X0)) [input p6]
8. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p7]
9. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p8]
13. ! [X0]... | 0 |
Everyone who is not happy or funny is tall.
If someone is not kind then john is both patient and not strong.
If susan is both wise and quiet then someone is both not calm and not generous.
Everyone who is either not curious or generous is not patient.
If lucy is either not quiet or creative then susan is both not creat... | John is curious. | entailment | (![X]:((~happy(X)|funny(X))=>tall(X)))&
((?[X]:(~kind(X)))=>((patient(john)&~strong(john))))&
(((wise(susan)&quiet(susan)))=>(?[X]:((~calm(X)&~generous(X)))))&
(![X]:((~curious(X)<~>generous(X))=>~patient(X)))&
(((~quiet(lucy)<~>creative(lucy)))=>((~creative(susan)&wise(susan))))&
(![X]:((~creative(X)&kind(X))=>(~gener... | curious(john) | [
"p1",
"p3",
"p7",
"p8",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4615329860955249504974439
% SZS output start Proof for 4615329860955249504974439
2. ? [X0] : ~kind(X0) => (~strong(john) & patient(john)) [input p1]
4. ! [X0] : ((~curious(X0) <~> generous(X0)) => ~patient(X0)) [input p3]
8. ! [X0] : (~curious(X0) <=> (~brave(X0) & ~patient(X0))) [input p... | 0 |
If mary is strong then someone is both not generous and tall and vice versa.
Everyone who is both not happy and not funny is not rich.
Everyone who is humble or not generous is both not rich and kind.
If someone is not happy or strong then susan is either not tall or rich.
If lucy is either not rich or rich then lucy i... | Lucy is not old. | entailment | ((strong(mary))<=>(?[X]:((~generous(X)&tall(X)))))&
(![X]:((~happy(X)&~funny(X))=>~rich(X)))&
(![X]:((humble(X)|~generous(X))=>(~rich(X)&kind(X))))&
((?[X]:((~happy(X)|strong(X))))=>((~tall(susan)<~>rich(susan))))&
(((~rich(lucy)<~>rich(lucy)))=>((~calm(lucy)|generous(lucy))))&
((?[X]:((~humble(X)&quiet(X))))=>((tall(a... | ~old(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6801901742039728845761637
% SZS output start Proof for 6801901742039728845761637
9. ! [X0] : (~old(X0) <=> (~kind(X0) | old(X0))) [input p8]
24. old(lucy) [input hypothesis]
58. ! [X0] : ((~old(X0) | (kind(X0) & ~old(X0))) & ((~kind(X0) | old(X0)) | old(X0))) [nnf transformation 9]
59. ! ... | 0 |
If john is generous then someone is not old and vice versa.
If someone is either rich or wise then someone is not funny.
Everyone who is funny or curious is both tall and not strong and vice versa.
If someone is either not tall or not curious then someone is quiet and vice versa.
If someone is old or not funny then sus... | Fred is not kind. | neutral | ((generous(john))<=>(?[X]:(~old(X))))&
((?[X]:((rich(X)<~>wise(X))))=>(?[X]:(~funny(X))))&
(![X]:((funny(X)|curious(X))<=>(tall(X)&~strong(X))))&
((?[X]:((~tall(X)<~>~curious(X))))<=>(?[X]:(quiet(X))))&
((?[X]:((old(X)|~funny(X))))<=>(~happy(susan)))&
((rich(alice))=>((~curious(mary)<~>creative(mary))))&
((?[X]:(~creat... | ~kind(fred) | [] | null | 0 |
If alice is both not funny and curious then lucy is either not creative or not curious and vice versa. If paul is not humble or not calm then alice is not humble and vice versa. Everyone who is quiet is both not quiet and happy and vice versa. If someone is both not funny and old then someone is quiet or calm and vice ... | Alice is not patient. | neutral | (((~funny(alice)&curious(alice)))<=>((~creative(lucy)<~>~curious(lucy))))&
(((~humble(paul)|~calm(paul)))<=>(~humble(alice)))&
(![X]:(quiet(X)<=>(~quiet(X)&happy(X))))&
((?[X]:((~funny(X)&old(X))))<=>(?[X]:((quiet(X)|calm(X)))))&
((?[X]:((~curious(X)&~quiet(X))))<=>((curious(alice)|~tall(alice))))&
((?[X]:((~strong(X)&... | ~patient(alice) | [] | null | 0 |
Everyone who is both not humble and not happy is both not curious and patient and vice versa.
Everyone who is not brave or strong is not kind.
Everyone who is not generous is not creative or not rich and vice versa.
If paul is kind then fred is not curious or not humble and vice versa.
If someone is both not calm and n... | Fred is curious. | entailment | (![X]:((~humble(X)&~happy(X))<=>(~curious(X)&patient(X))))&
(![X]:((~brave(X)|strong(X))=>~kind(X)))&
(![X]:(~generous(X)<=>(~creative(X)|~rich(X))))&
((kind(paul))<=>((~curious(fred)|~humble(fred))))&
((?[X]:((~calm(X)&~funny(X))))<=>((~curious(paul)|~funny(paul))))&
(![X]:((~generous(X)&quiet(X))<=>(~wise(X)|~happy(X... | curious(fred) | [
"p1",
"p3",
"p5",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8523855985304961829902896
% SZS output start Proof for 8523855985304961829902896
2. ! [X0] : ((strong(X0) | ~brave(X0)) => ~kind(X0)) [input p1]
4. kind(paul) <=> (~humble(fred) | ~curious(fred)) [input p3]
6. ! [X0] : ((quiet(X0) & ~generous(X0)) <=> (~happy(X0) | ~wise(X0))) [input p5]
... | 0 |
If someone is either old or humble then someone is both not funny and funny. Everyone who is either not happy or generous is either not rich or humble and vice versa. Everyone who is either humble or not kind is either humble or not old. Everyone who is both not old and kind is not generous. If lucy is humble or not cr... | John is tall. | neutral | ((?[X]:((old(X)<~>humble(X))))=>(?[X]:((~funny(X)&funny(X)))))&
(![X]:((~happy(X)<~>generous(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((humble(X)<~>~kind(X))=>(humble(X)<~>~old(X))))&
(![X]:((~old(X)&kind(X))=>~generous(X)))&
(((humble(lucy)|~creative(lucy)))=>(patient(paul)))&
((?[X]:((strong(X)|~curious(X))))<=>((~rich(... | tall(john) | [] | null | 0 |
If john is both brave and not tall then paul is not rich.
Everyone who is calm is either not old or creative and vice versa.
If someone is either patient or strong then susan is old.
Everyone who is either not creative or brave is both humble and not kind.
Everyone who is not kind is not brave or wise.
Everyone who is ... | John is creative. | entailment | (((brave(john)&~tall(john)))=>(~rich(paul)))&
(![X]:(calm(X)<=>(~old(X)<~>creative(X))))&
((?[X]:((patient(X)<~>strong(X))))=>(old(susan)))&
(![X]:((~creative(X)<~>brave(X))=>(humble(X)&~kind(X))))&
(![X]:(~kind(X)=>(~brave(X)|wise(X))))&
(![X]:((~strong(X)&quiet(X))<=>(~creative(X)<~>~generous(X))))&
(((~creative(paul... | creative(john) | [
"p5",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8406690726800070159183919
% SZS output start Proof for 8406690726800070159183919
6. ! [X0] : ((quiet(X0) & ~strong(X0)) <=> (~creative(X0) <~> ~generous(X0))) [input p5]
14. ! [X0] : ((strong(X0) & ~humble(X0)) <=> (generous(X0) | ~tall(X0))) [input p13]
22. generous(john) [input p21]
25.... | 0 |
Everyone who is not wise or patient is both not rich and not humble and vice versa.
If someone is not happy or not humble then someone is either not brave or not humble.
If someone is not strong or calm then someone is either calm or not humble.
If someone is either not creative or not kind then lucy is strong and vice... | Mary is creative. | entailment | (![X]:((~wise(X)|patient(X))<=>(~rich(X)&~humble(X))))&
((?[X]:((~happy(X)|~humble(X))))=>(?[X]:((~brave(X)<~>~humble(X)))))&
((?[X]:((~strong(X)|calm(X))))=>(?[X]:((calm(X)<~>~humble(X)))))&
((?[X]:((~creative(X)<~>~kind(X))))<=>(strong(lucy)))&
(((~patient(fred)<~>~humble(fred)))<=>((~quiet(alice)<~>tall(alice))))&
(... | creative(mary) | [
"p5",
"p11",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5789425693892224370549783
% SZS output start Proof for 5789425693892224370549783
6. happy(mary) <=> ? [X0] : (patient(X0) | ~brave(X0)) [input p5]
12. ! [X0] : ((happy(X0) <~> ~patient(X0)) <=> (~creative(X0) | ~curious(X0))) [input p11]
23. ~brave(paul) [input p22]
24. ~patient(mary) <~>... | 0 |
Everyone who is either happy or not creative is calm or kind and vice versa.
Everyone who is either not happy or curious is both quiet and not old and vice versa.
Everyone who is not strong is calm or not tall and vice versa.
If someone is not calm or not brave then paul is brave and vice versa.
If someone is both kind... | Paul is not brave. | contradiction | (![X]:((happy(X)<~>~creative(X))<=>(calm(X)|kind(X))))&
(![X]:((~happy(X)<~>curious(X))<=>(quiet(X)&~old(X))))&
(![X]:(~strong(X)<=>(calm(X)|~tall(X))))&
((?[X]:((~calm(X)|~brave(X))))<=>(brave(paul)))&
((?[X]:((kind(X)&~brave(X))))=>((~generous(john)<~>calm(john))))&
(![X]:((~calm(X)&~wise(X))=>(brave(X)&~generous(X))... | ~brave(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6044764763317400570543759
% SZS output start Proof for 6044764763317400570543759
4. ? [X0] : (~brave(X0) | ~calm(X0)) <=> brave(paul) [input p3]
25. ~brave(paul) [input hypothesis]
42. (? [X0] : (~brave(X0) | ~calm(X0)) | ~brave(paul)) & (brave(paul) | ! [X0] : (brave(X0) & calm(X0))) [nn... | 0 |
If mary is kind then john is not funny. Everyone who is either tall or not rich is both not happy and patient and vice versa. Everyone who is both happy and old is happy or curious and vice versa. If paul is either rich or not kind then someone is both not happy and not kind. Everyone who is either curious or not curio... | John is not creative. | entailment | ((kind(mary))=>(~funny(john)))&
(![X]:((tall(X)<~>~rich(X))<=>(~happy(X)&patient(X))))&
(![X]:((happy(X)&old(X))<=>(happy(X)|curious(X))))&
(((rich(paul)<~>~kind(paul)))=>(?[X]:((~happy(X)&~kind(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~brave(X)&~old(X))))&
((~strong(lucy))=>((strong(paul)&~quiet(paul))))&
(![X]:((... | ~creative(john) | [
"p0",
"p2",
"p4",
"p6",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8944906034977927503557154
% SZS output start Proof for 8944906034977927503557154
1. kind(mary) => ~funny(john) [input p0]
3. ! [X0] : ((old(X0) & happy(X0)) <=> (curious(X0) | happy(X0))) [input p2]
5. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~old(X0) & ~brave(X0))) [input p4]
7. ! [... | 0 |
Everyone who is not happy is either kind or not brave and vice versa.
Everyone who is not funny is tall and vice versa.
Everyone who is both not patient and not curious is either generous or not generous and vice versa.
If alice is either not strong or not old then alice is not quiet and vice versa.
Everyone who is eit... | Mary is patient. | contradiction | (![X]:(~happy(X)<=>(kind(X)<~>~brave(X))))&
(![X]:(~funny(X)<=>tall(X)))&
(![X]:((~patient(X)&~curious(X))<=>(generous(X)<~>~generous(X))))&
(((~strong(alice)<~>~old(alice)))<=>(~quiet(alice)))&
(![X]:((calm(X)<~>tall(X))<=>(wise(X)|kind(X))))&
(((~kind(mary)<~>patient(mary)))=>(?[X]:((brave(X)&~funny(X)))))&
(![X]:((~... | patient(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7584252531115502370212543
% SZS output start Proof for 7584252531115502370212543
3. ! [X0] : ((~curious(X0) & ~patient(X0)) <=> (generous(X0) <~> ~generous(X0))) [input p2]
22. patient(mary) [input hypothesis]
30. ! [X0] : (((~curious(X0) & ~patient(X0)) | ((generous(X0) | generous(X0)) &... | 0 |
Everyone who is generous is both old and not kind and vice versa. Everyone who is not quiet or not kind is not rich. Everyone who is not rich is both not humble and happy and vice versa. Everyone who is either not humble or not old is either not calm or not old. Everyone who is either not strong or patient is brave and... | Mary is generous. | neutral | (![X]:(generous(X)<=>(old(X)&~kind(X))))&
(![X]:((~quiet(X)|~kind(X))=>~rich(X)))&
(![X]:(~rich(X)<=>(~humble(X)&happy(X))))&
(![X]:((~humble(X)<~>~old(X))=>(~calm(X)<~>~old(X))))&
(![X]:((~strong(X)<~>patient(X))<=>brave(X)))&
(((creative(mary)<~>brave(mary)))<=>((tall(lucy)|~wise(lucy))))&
(![X]:((humble(X)|~creative... | generous(mary) | [] | null | 0 |
If susan is kind then someone is either happy or not tall and vice versa.
If someone is both funny and not calm then susan is both not patient and generous.
Everyone who is quiet or not strong is not strong or not kind and vice versa.
If someone is both curious and kind then someone is both not rich and generous and vi... | Paul is strong. | contradiction | ((kind(susan))<=>(?[X]:((happy(X)<~>~tall(X)))))&
((?[X]:((funny(X)&~calm(X))))=>((~patient(susan)&generous(susan))))&
(![X]:((quiet(X)|~strong(X))<=>(~strong(X)|~kind(X))))&
((?[X]:((curious(X)&kind(X))))<=>(?[X]:((~rich(X)&generous(X)))))&
(((~quiet(susan)&~generous(susan)))=>(?[X]:(funny(X))))&
(![X]:(brave(X)<=>~fu... | strong(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6574182230140172581700197
% SZS output start Proof for 6574182230140172581700197
11. ! [X0] : (strong(X0) <=> (strong(X0) & ~strong(X0))) [input p10]
25. strong(paul) [input hypothesis]
61. ! [X0] : ((strong(X0) | (~strong(X0) | strong(X0))) & ((strong(X0) & ~strong(X0)) | ~strong(X0))) [... | 0 |
Everyone who is not calm or not tall is tall and vice versa.
Everyone who is kind is either kind or happy and vice versa.
If someone is both kind and calm then someone is calm or quiet and vice versa.
Everyone who is not old is both old and funny and vice versa.
Everyone who is creative is both rich and not quiet and v... | Susan is humble. | neutral | (![X]:((~calm(X)|~tall(X))<=>tall(X)))&
(![X]:(kind(X)<=>(kind(X)<~>happy(X))))&
((?[X]:((kind(X)&calm(X))))<=>(?[X]:((calm(X)|quiet(X)))))&
(![X]:(~old(X)<=>(old(X)&funny(X))))&
(![X]:(creative(X)<=>(rich(X)&~quiet(X))))&
((~rich(alice))=>(?[X]:(~creative(X))))&
((?[X]:((~calm(X)<~>~kind(X))))<=>(?[X]:((~patient(X)<~>... | humble(susan) | [] | null | 0 |
Everyone who is creative is not humble and vice versa.
If someone is not tall or not humble then mary is both brave and curious and vice versa.
If fred is calm then someone is not quiet and vice versa.
Everyone who is both strong and not wise is not rich.
Everyone who is not creative is kind or quiet and vice versa.
Ev... | Mary is not funny. | neutral | (![X]:(creative(X)<=>~humble(X)))&
((?[X]:((~tall(X)|~humble(X))))<=>((brave(mary)&curious(mary))))&
((calm(fred))<=>(?[X]:(~quiet(X))))&
(![X]:((strong(X)&~wise(X))=>~rich(X)))&
(![X]:(~creative(X)<=>(kind(X)|quiet(X))))&
(![X]:((~happy(X)&funny(X))<=>(tall(X)<~>brave(X))))&
(![X]:((old(X)<~>~kind(X))=>creative(X)))&
... | ~funny(mary) | [] | null | 0 |
If someone is both rich and creative then someone is both not funny and not strong.
Everyone who is either not calm or not wise is either happy or not happy and vice versa.
Everyone who is either generous or not old is not patient or not kind and vice versa.
If lucy is either curious or brave then paul is both rich and... | Lucy is wise. | entailment | ((?[X]:((rich(X)&creative(X))))=>(?[X]:((~funny(X)&~strong(X)))))&
(![X]:((~calm(X)<~>~wise(X))<=>(happy(X)<~>~happy(X))))&
(![X]:((generous(X)<~>~old(X))<=>(~patient(X)|~kind(X))))&
(((curious(lucy)<~>brave(lucy)))<=>((rich(paul)&happy(paul))))&
((?[X]:((~strong(X)&generous(X))))=>((brave(john)<~>~generous(john))))&
(... | wise(lucy) | [
"p0",
"p6",
"p7",
"p13",
"p16",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4650296406237671362974939
% SZS output start Proof for 4650296406237671362974939
1. ? [X0] : (creative(X0) & rich(X0)) => ? [X0] : (~strong(X0) & ~funny(X0)) [input p0]
7. ! [X0] : (~wise(X0) => (~old(X0) <~> creative(X0))) [input p6]
8. ? [X0] : (old(X0) <~> ~wise(X0)) <=> ~tall(alice) [... | 0 |
Everyone who is either not rich or rich is humble.
Everyone who is not rich or humble is both not curious and rich and vice versa.
If alice is both not curious and creative then someone is both not curious and rich.
Everyone who is both not old and not kind is either not happy or not kind and vice versa.
Everyone who i... | Paul is not patient. | contradiction | (![X]:((~rich(X)<~>rich(X))=>humble(X)))&
(![X]:((~rich(X)|humble(X))<=>(~curious(X)&rich(X))))&
(((~curious(alice)&creative(alice)))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((~old(X)&~kind(X))<=>(~happy(X)<~>~kind(X))))&
(![X]:((creative(X)&~calm(X))<=>(~strong(X)<~>quiet(X))))&
(![X]:((generous(X)&kind(X))<=>~curious... | ~patient(paul) | [
"p0",
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6027827634714802573150901
% SZS output start Proof for 6027827634714802573150901
1. ! [X0] : ((~rich(X0) <~> rich(X0)) => humble(X0)) [input p0]
2. ! [X0] : ((humble(X0) | ~rich(X0)) <=> (rich(X0) & ~curious(X0))) [input p1]
10. ! [X0] : ((~creative(X0) & patient(X0)) <=> (rich(X0) | ~pat... | 0 |
If mary is not wise or not creative then someone is not rich. Everyone who is both not wise and not rich is funny and vice versa. Everyone who is either generous or not old is both not humble and old. If mary is either not strong or not generous then paul is either generous or wise. If john is not generous or wise then... | Fred is not rich. | contradiction | (((~wise(mary)|~creative(mary)))=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)&~rich(X))<=>funny(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)&old(X))))&
(((~strong(mary)<~>~generous(mary)))=>((generous(paul)<~>wise(paul))))&
(((~generous(john)|wise(john)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(![X]:((kind(X)&~quiet(X))=>(~... | ~rich(fred) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2810252250706096263278417
% SZS output start Proof for 2810252250706096263278417
6. ! [X0] : ((~quiet(X0) & kind(X0)) => (funny(X0) & ~kind(X0))) [input p5]
10. (~quiet(paul) & kind(paul)) <=> ? [X0] : ~rich(X0) [input p9]
25. ~rich(fred) [input hypothesis]
34. ! [X0] : ((funny(X0) & ~kin... | 0 |
If someone is both strong and tall then someone is not creative or curious and vice versa.
Everyone who is wise or not rich is both wise and kind.
If fred is not humble or tall then someone is patient and vice versa.
Everyone who is not tall or happy is both wise and not old and vice versa.
If alice is kind then susan ... | Alice is creative. | entailment | ((?[X]:((strong(X)&tall(X))))<=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:((wise(X)|~rich(X))=>(wise(X)&kind(X))))&
(((~humble(fred)|tall(fred)))<=>(?[X]:(patient(X))))&
(![X]:((~tall(X)|happy(X))<=>(wise(X)&~old(X))))&
((kind(alice))=>((old(susan)&strong(susan))))&
(((~curious(john)&kind(john)))=>(?[X]:((~patient(X)<... | creative(alice) | [
"p1",
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2352008142483284729857092
% SZS output start Proof for 2352008142483284729857092
2. ! [X0] : ((~rich(X0) | wise(X0)) => (kind(X0) & wise(X0))) [input p1]
4. ! [X0] : ((happy(X0) | ~tall(X0)) <=> (~old(X0) & wise(X0))) [input p3]
10. ! [X0] : (rich(X0) => (creative(X0) | ~tall(X0))) [input... | 0 |
If someone is either not strong or rich then someone is either not rich or not generous and vice versa.
If someone is funny then paul is not calm or not humble.
If someone is both not strong and rich then mary is kind.
If someone is creative then someone is humble or rich.
Everyone who is both not tall and patient is e... | Lucy is rich. | entailment | ((?[X]:((~strong(X)<~>rich(X))))<=>(?[X]:((~rich(X)<~>~generous(X)))))&
((?[X]:(funny(X)))=>((~calm(paul)|~humble(paul))))&
((?[X]:((~strong(X)&rich(X))))=>(kind(mary)))&
((?[X]:(creative(X)))=>(?[X]:((humble(X)|rich(X)))))&
(![X]:((~tall(X)&patient(X))=>(~brave(X)<~>~happy(X))))&
((?[X]:((~calm(X)|~old(X))))<=>((stron... | rich(lucy) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1579635375086328374165785
% SZS output start Proof for 1579635375086328374165785
24. rich(lucy) & patient(lucy) [input p23]
25. ~rich(lucy) [input hypothesis]
129. rich(lucy) [cnf transformation 24]
130. ~rich(lucy) [cnf transformation 25]
340. $false [subsumption resolution 130,129]
% SZ... | 0 |
If alice is not tall then mary is not creative or creative.
Everyone who is humble is either not kind or funny and vice versa.
If fred is strong or not tall then someone is generous and vice versa.
If susan is strong then alice is tall or not old and vice versa.
If alice is both generous and not wise then lucy is not q... | Fred is strong. | neutral | ((~tall(alice))=>((~creative(mary)|creative(mary))))&
(![X]:(humble(X)<=>(~kind(X)<~>funny(X))))&
(((strong(fred)|~tall(fred)))<=>(?[X]:(generous(X))))&
((strong(susan))<=>((tall(alice)|~old(alice))))&
(((generous(alice)&~wise(alice)))<=>(~quiet(lucy)))&
(![X]:(~tall(X)<=>~calm(X)))&
(((~humble(paul)&~patient(paul)))<=... | strong(fred) | [] | null | 0 |
If susan is generous or not wise then someone is not wise and vice versa.
Everyone who is curious or not rich is happy.
If susan is wise then paul is not happy or tall.
Everyone who is not kind or not strong is humble or tall.
If someone is either not brave or not quiet then alice is either not tall or old.
If someone ... | John is patient. | entailment | (((generous(susan)|~wise(susan)))<=>(?[X]:(~wise(X))))&
(![X]:((curious(X)|~rich(X))=>happy(X)))&
((wise(susan))=>((~happy(paul)|tall(paul))))&
(![X]:((~kind(X)|~strong(X))=>(humble(X)|tall(X))))&
((?[X]:((~brave(X)<~>~quiet(X))))=>((~tall(alice)<~>old(alice))))&
((?[X]:((~kind(X)|rich(X))))=>(?[X]:((~tall(X)&~calm(X))... | patient(john) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6054215613826415134441460
% SZS output start Proof for 6054215613826415134441460
14. ! [X0] : ((patient(X0) <~> ~old(X0)) <=> (old(X0) & humble(X0))) [input p13]
15. old(john) => ? [X0] : (curious(X0) & ~curious(X0)) [input p14]
23. ~patient(john) [input hypothesis]
36. ? [X0] : (curious(... | 0 |
If fred is not calm then mary is happy or not kind and vice versa.
If mary is either quiet or not kind then someone is both not kind and not calm and vice versa.
If paul is generous then someone is not curious.
If someone is not kind or funny then someone is both patient and happy and vice versa.
If lucy is both not cu... | Mary is not rich. | contradiction | ((~calm(fred))<=>((happy(mary)|~kind(mary))))&
(((quiet(mary)<~>~kind(mary)))<=>(?[X]:((~kind(X)&~calm(X)))))&
((generous(paul))=>(?[X]:(~curious(X))))&
((?[X]:((~kind(X)|funny(X))))<=>(?[X]:((patient(X)&happy(X)))))&
(((~curious(lucy)&curious(lucy)))<=>(~wise(mary)))&
(![X]:((~generous(X)&old(X))<=>(~rich(X)|creative(... | ~rich(mary) | [
"p5",
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 740707909154266422753650
% SZS output start Proof for 740707909154266422753650
6. ! [X0] : ((old(X0) & ~generous(X0)) <=> (creative(X0) | ~rich(X0))) [input p5]
7. ! [X0] : (~happy(X0) => ~old(X0)) [input p6]
23. ~old(mary) <~> ~happy(mary) [input p22]
25. ~rich(mary) [input hypothesis]
2... | 0 |
Everyone who is not kind or calm is generous.
Everyone who is brave or wise is not old and vice versa.
Everyone who is not calm or not generous is not strong.
If someone is both strong and rich then someone is either kind or not generous and vice versa.
If someone is both not tall and not quiet then susan is both curio... | John is rich. | contradiction | (![X]:((~kind(X)|calm(X))=>generous(X)))&
(![X]:((brave(X)|wise(X))<=>~old(X)))&
(![X]:((~calm(X)|~generous(X))=>~strong(X)))&
((?[X]:((strong(X)&rich(X))))<=>(?[X]:((kind(X)<~>~generous(X)))))&
((?[X]:((~tall(X)&~quiet(X))))=>((curious(susan)&brave(susan))))&
(![X]:((~curious(X)<~>old(X))<=>tall(X)))&
(![X]:((generous... | rich(john) | [
"p0",
"p3",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5731515613505120360477957
% SZS output start Proof for 5731515613505120360477957
1. ! [X0] : ((calm(X0) | ~kind(X0)) => generous(X0)) [input p0]
4. ? [X0] : (rich(X0) & strong(X0)) <=> ? [X0] : (kind(X0) <~> ~generous(X0)) [input p3]
8. (~wise(john) | ~tall(john)) => ~tall(fred) [input p7... | 0 |
Everyone who is either not brave or not happy is not funny.
Everyone who is either brave or not rich is not calm.
Everyone who is brave or not tall is brave or strong and vice versa.
If someone is creative then someone is both calm and not calm and vice versa.
Everyone who is quiet is funny or patient.
Everyone who is ... | Paul is not strong. | neutral | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((brave(X)<~>~rich(X))=>~calm(X)))&
(![X]:((brave(X)|~tall(X))<=>(brave(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((~pati... | ~strong(paul) | [] | null | 0 |
If someone is not happy then someone is both not tall and patient and vice versa. Everyone who is not tall or not calm is tall or strong. If someone is either happy or not calm then someone is kind or tall. Everyone who is kind is not happy and vice versa. If john is both quiet and funny then someone is either not crea... | Mary is quiet. | neutral | ((?[X]:(~happy(X)))<=>(?[X]:((~tall(X)&patient(X)))))&
(![X]:((~tall(X)|~calm(X))=>(tall(X)|strong(X))))&
((?[X]:((happy(X)<~>~calm(X))))=>(?[X]:((kind(X)|tall(X)))))&
(![X]:(kind(X)<=>~happy(X)))&
(((quiet(john)&funny(john)))<=>(?[X]:((~creative(X)<~>humble(X)))))&
((?[X]:(old(X)))<=>((brave(john)&~rich(john))))&
(![X... | quiet(mary) | [] | null | 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 ... | Paul is not patient. | 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))))... | ~patient(paul) | [] | null | 0 |
If alice is not calm or rich then someone is both not tall and curious.
Everyone who is both calm and not wise is wise or not strong and vice versa.
If someone is not curious or not rich then mary is either calm or not curious.
If mary is funny or tall then mary is both generous and happy.
If susan is either not brave ... | Alice is calm. | entailment | (((~calm(alice)|rich(alice)))=>(?[X]:((~tall(X)&curious(X)))))&
(![X]:((calm(X)&~wise(X))<=>(wise(X)|~strong(X))))&
((?[X]:((~curious(X)|~rich(X))))=>((calm(mary)<~>~curious(mary))))&
(((funny(mary)|tall(mary)))=>((generous(mary)&happy(mary))))&
(((~brave(susan)<~>~humble(susan)))<=>((strong(paul)&~humble(paul))))&
(((... | calm(alice) | [
"p0",
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1389031789569618517393621
% SZS output start Proof for 1389031789569618517393621
1. (rich(alice) | ~calm(alice)) => ? [X0] : (curious(X0) & ~tall(X0)) [input p0]
2. ! [X0] : ((~wise(X0) & calm(X0)) <=> (~strong(X0) | wise(X0))) [input p1]
8. ! [X0] : ((brave(X0) | ~wise(X0)) <=> (happy(X0... | 0 |
If susan is either not quiet or funny then paul is wise and vice versa.
Everyone who is either not quiet or not creative is both rich and happy.
Everyone who is both not old and generous is brave.
Everyone who is either not generous or not happy is either not quiet or kind.
Everyone who is not generous is curious and v... | Lucy is patient. | entailment | (((~quiet(susan)<~>funny(susan)))<=>(wise(paul)))&
(![X]:((~quiet(X)<~>~creative(X))=>(rich(X)&happy(X))))&
(![X]:((~old(X)&generous(X))=>brave(X)))&
(![X]:((~generous(X)<~>~happy(X))=>(~quiet(X)<~>kind(X))))&
(![X]:(~generous(X)<=>curious(X)))&
(((~calm(susan)&old(susan)))=>((tall(alice)|generous(alice))))&
((?[X]:((k... | patient(lucy) | [
"p7",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1377508245135297814415937
% SZS output start Proof for 1377508245135297814415937
8. ? [X0] : ~strong(X0) => ~generous(alice) [input p7]
12. ! [X0] : (~tall(X0) <=> (~patient(X0) | ~happy(X0))) [input p11]
13. (~quiet(susan) | quiet(susan)) => (generous(alice) & ~creative(alice)) [input p1... | 0 |
Everyone who is both not kind and old is humble or not generous and vice versa.
If someone is not funny or not brave then someone is calm or not tall.
If john is both not brave and kind then someone is not patient or not generous and vice versa.
If lucy is either brave or not humble then someone is either tall or not c... | Fred is patient. | entailment | (![X]:((~kind(X)&old(X))<=>(humble(X)|~generous(X))))&
((?[X]:((~funny(X)|~brave(X))))=>(?[X]:((calm(X)|~tall(X)))))&
(((~brave(john)&kind(john)))<=>(?[X]:((~patient(X)|~generous(X)))))&
(((brave(lucy)<~>~humble(lucy)))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:(quiet(X)=>(rich(X)<~>~old(X))))&
((?[X]:((kind(X)|~patien... | patient(fred) | [
"p2",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5911687363873708685181419
% SZS output start Proof for 5911687363873708685181419
3. (kind(john) & ~brave(john)) <=> ? [X0] : (~generous(X0) | ~patient(X0)) [input p2]
14. ! [X0] : (~kind(X0) <=> (creative(X0) | ~curious(X0))) [input p13]
22. ~kind(john) <~> creative(john) [input p21]
24. ... | 0 |
Everyone who is happy or not strong is funny and vice versa. Everyone who is happy is quiet and vice versa. If someone is both calm and curious then paul is both not creative and humble and vice versa. If lucy is curious or happy then susan is either not wise or rich and vice versa. Everyone who is either patient or no... | Lucy is not brave. | neutral | (![X]:((happy(X)|~strong(X))<=>funny(X)))&
(![X]:(happy(X)<=>quiet(X)))&
((?[X]:((calm(X)&curious(X))))<=>((~creative(paul)&humble(paul))))&
(((curious(lucy)|happy(lucy)))<=>((~wise(susan)<~>rich(susan))))&
(![X]:((patient(X)<~>~old(X))=>(~generous(X)<~>calm(X))))&
((~patient(fred))<=>((strong(lucy)<~>~wise(lucy))))&
(... | ~brave(lucy) | [] | null | 0 |
If john is either tall or quiet then alice is happy or not kind.
Everyone who is either not strong or patient is either not strong or not generous.
Everyone who is not old or old is either old or not old and vice versa.
Everyone who is both not calm and quiet is not quiet and vice versa.
If alice is brave or humble the... | Fred is not brave. | neutral | (((tall(john)<~>quiet(john)))=>((happy(alice)|~kind(alice))))&
(![X]:((~strong(X)<~>patient(X))=>(~strong(X)<~>~generous(X))))&
(![X]:((~old(X)|old(X))<=>(old(X)<~>~old(X))))&
(![X]:((~calm(X)&quiet(X))<=>~quiet(X)))&
(((brave(alice)|humble(alice)))=>(?[X]:(~funny(X))))&
((?[X]:((~patient(X)&patient(X))))<=>((~calm(fre... | ~brave(fred) | [] | null | 0 |
Everyone who is either happy or not happy is not happy or not brave. Everyone who is tall or not humble is both not rich and happy. Everyone who is both not happy and tall is either not humble or not wise and vice versa. If someone is not curious then john is not wise. Everyone who is not generous is tall and vice vers... | Alice is not humble. | neutral | (![X]:((happy(X)<~>~happy(X))=>(~happy(X)|~brave(X))))&
(![X]:((tall(X)|~humble(X))=>(~rich(X)&happy(X))))&
(![X]:((~happy(X)&tall(X))<=>(~humble(X)<~>~wise(X))))&
((?[X]:(~curious(X)))=>(~wise(john)))&
(![X]:(~generous(X)<=>tall(X)))&
(![X]:((~tall(X)<~>generous(X))=>(patient(X)|~curious(X))))&
((~strong(susan))<=>((~... | ~humble(alice) | [] | null | 0 |
If someone is humble then someone is not patient or happy.
Everyone who is not humble is not happy and vice versa.
Everyone who is both kind and not patient is not patient or not wise.
Everyone who is both not tall and not patient is both not generous and calm and vice versa.
Everyone who is either not brave or not cur... | Lucy is strong. | entailment | ((?[X]:(humble(X)))=>(?[X]:((~patient(X)|happy(X)))))&
(![X]:(~humble(X)<=>~happy(X)))&
(![X]:((kind(X)&~patient(X))=>(~patient(X)|~wise(X))))&
(![X]:((~tall(X)&~patient(X))<=>(~generous(X)&calm(X))))&
(![X]:((~brave(X)<~>~curious(X))<=>(strong(X)&calm(X))))&
(![X]:((~patient(X)&tall(X))<=>(humble(X)&~happy(X))))&
((~c... | strong(lucy) | [
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1239442223759570169998474
% SZS output start Proof for 1239442223759570169998474
15. ! [X0] : ((curious(X0) | ~strong(X0)) <=> ~brave(X0)) [input p14]
18. ~brave(lucy) <~> ~strong(lucy) [input p17]
24. ~strong(lucy) [input hypothesis]
66. ! [X0] : (((curious(X0) | ~strong(X0)) | brave(X0)... | 0 |
Everyone who is either strong or not wise is both creative and generous.
Everyone who is either not patient or funny is funny and vice versa.
If someone is both old and not creative then someone is both not wise and not humble.
Everyone who is not humble is not old or happy and vice versa.
Everyone who is curious or no... | Alice is kind. | neutral | (![X]:((strong(X)<~>~wise(X))=>(creative(X)&generous(X))))&
(![X]:((~patient(X)<~>funny(X))<=>funny(X)))&
((?[X]:((old(X)&~creative(X))))=>(?[X]:((~wise(X)&~humble(X)))))&
(![X]:(~humble(X)<=>(~old(X)|happy(X))))&
(![X]:((curious(X)|~patient(X))=>(tall(X)<~>~strong(X))))&
(![X]:((generous(X)|curious(X))<=>(calm(X)&curi... | kind(alice) | [] | null | 0 |
Everyone who is both not creative and strong is not rich or not quiet and vice versa.
If fred is both wise and funny then john is either brave or not wise and vice versa.
If lucy is not happy or patient then fred is humble and vice versa.
Everyone who is both tall and old is both generous and not funny.
If john is eith... | Alice is not strong. | entailment | (![X]:((~creative(X)&strong(X))<=>(~rich(X)|~quiet(X))))&
(((wise(fred)&funny(fred)))<=>((brave(john)<~>~wise(john))))&
(((~happy(lucy)|patient(lucy)))<=>(humble(fred)))&
(![X]:((tall(X)&old(X))=>(generous(X)&~funny(X))))&
(((strong(john)<~>~generous(john)))<=>((~curious(alice)<~>calm(alice))))&
(![X]:(wise(X)<=>~humbl... | ~strong(alice) | [
"p0",
"p6",
"p7",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 718626960760028590992032
% SZS output start Proof for 718626960760028590992032
1. ! [X0] : ((strong(X0) & ~creative(X0)) <=> (~quiet(X0) | ~rich(X0))) [input p0]
7. (rich(lucy) <~> ~curious(lucy)) <=> ? [X0] : (~quiet(X0) | brave(X0)) [input p6]
8. ! [X0] : (strong(X0) => (brave(X0) & ~cu... | 0 |
If mary is not generous then someone is both calm and not funny.
Everyone who is not tall is either wise or not happy and vice versa.
Everyone who is not funny is patient.
If alice is not happy then someone is not generous.
Everyone who is either not quiet or kind is both not happy and strong and vice versa.
If mary is... | Susan is curious. | neutral | ((~generous(mary))=>(?[X]:((calm(X)&~funny(X)))))&
(![X]:(~tall(X)<=>(wise(X)<~>~happy(X))))&
(![X]:(~funny(X)=>patient(X)))&
((~happy(alice))=>(?[X]:(~generous(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(~happy(X)&strong(X))))&
((kind(mary))<=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(~happy(X)=>(quiet(X)&creative(X))))&
((... | curious(susan) | [] | null | 0 |
Everyone who is calm is brave and vice versa. Everyone who is not strong is not funny. Everyone who is either quiet or not quiet is either not happy or not generous and vice versa. Everyone who is not strong is either not creative or not humble. Everyone who is both strong and not humble is both not rich and calm. If s... | Mary is wise. | contradiction | (![X]:(calm(X)<=>brave(X)))&
(![X]:(~strong(X)=>~funny(X)))&
(![X]:((quiet(X)<~>~quiet(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:(~strong(X)=>(~creative(X)<~>~humble(X))))&
(![X]:((strong(X)&~humble(X))=>(~rich(X)&calm(X))))&
((?[X]:((happy(X)<~>~tall(X))))=>((kind(paul)|~generous(paul))))&
(![X]:((~wise(X)&~happy(X))=... | wise(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4085940248857226203612885
% SZS output start Proof for 4085940248857226203612885
19. ~wise(mary) & ~kind(mary) [input p18]
24. wise(mary) [input hypothesis]
126. ~wise(mary) [cnf transformation 19]
134. wise(mary) [cnf transformation 24]
226. $false [subsumption resolution 134,126]
% SZS ... | 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 patient. | entailment | (![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]:(... | ~patient(lucy) | [
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 494770492112328963599089
% SZS output start Proof for 494770492112328963599089
8. ? [X0] : (~funny(X0) | brave(X0)) => (old(john) & ~strong(john)) [input p7]
14. ! [X0] : ((happy(X0) | ~happy(X0)) => ~old(X0)) [input p13]
16. ! [X0] : ((old(X0) <~> ~funny(X0)) <=> (quiet(X0) | patient(X0)... | 0 |
Everyone who is not patient is both wise and not generous and vice versa. Everyone who is calm or not quiet is either not curious or not calm and vice versa. Everyone who is not quiet is either not wise or not brave. Everyone who is either tall or patient is not wise and vice versa. Everyone who is both not quiet and k... | Lucy is not rich. | neutral | (![X]:(~patient(X)<=>(wise(X)&~generous(X))))&
(![X]:((calm(X)|~quiet(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:(~quiet(X)=>(~wise(X)<~>~brave(X))))&
(![X]:((tall(X)<~>patient(X))<=>~wise(X)))&
(![X]:((~quiet(X)&kind(X))=>(~wise(X)<~>~old(X))))&
(![X]:((curious(X)|~quiet(X))<=>(quiet(X)|brave(X))))&
(![X]:((tall(X)<~>gen... | ~rich(lucy) | [] | null | 0 |
Everyone who is either quiet or not kind is both not creative and generous.
If someone is not patient or not creative then someone is both not rich and generous and vice versa.
Everyone who is not tall is kind and vice versa.
Everyone who is both wise and brave is both not generous and not brave.
If susan is both not r... | Susan is not quiet. | contradiction | (![X]:((quiet(X)<~>~kind(X))=>(~creative(X)&generous(X))))&
((?[X]:((~patient(X)|~creative(X))))<=>(?[X]:((~rich(X)&generous(X)))))&
(![X]:(~tall(X)<=>kind(X)))&
(![X]:((wise(X)&brave(X))=>(~generous(X)&~brave(X))))&
(((~rich(susan)&brave(susan)))<=>(?[X]:(curious(X))))&
(![X]:((patient(X)&happy(X))<=>(~humble(X)&rich(... | ~quiet(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1179676785541918500941697
% SZS output start Proof for 1179676785541918500941697
15. ! [X0] : ((old(X0) | ~quiet(X0)) <=> (creative(X0) & ~creative(X0))) [input p14]
25. ~quiet(susan) [input hypothesis]
72. ! [X0] : (((old(X0) | ~quiet(X0)) | (~creative(X0) | creative(X0))) & ((creative(X... | 0 |
If fred is both creative and not creative then someone is not creative.
If john is both not curious and curious then someone is both not curious and not quiet and vice versa.
Everyone who is not strong or creative is either not brave or happy and vice versa.
Everyone who is not brave is either not brave or not generous... | John is not funny. | neutral | (((creative(fred)&~creative(fred)))=>(?[X]:(~creative(X))))&
(((~curious(john)&curious(john)))<=>(?[X]:((~curious(X)&~quiet(X)))))&
(![X]:((~strong(X)|creative(X))<=>(~brave(X)<~>happy(X))))&
(![X]:(~brave(X)<=>(~brave(X)<~>~generous(X))))&
((?[X]:(wise(X)))<=>((kind(john)|~curious(john))))&
(![X]:(~wise(X)<=>~creative... | ~funny(john) | [] | null | 0 |
Everyone who is both not funny and old is either wise or not strong and vice versa.
Everyone who is not old or patient is generous.
If someone is not curious then paul is patient or calm.
Everyone who is patient is both not quiet and old.
If someone is both not happy and not kind then someone is both not calm and patie... | Alice is funny. | neutral | (![X]:((~funny(X)&old(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((~old(X)|patient(X))=>generous(X)))&
((?[X]:(~curious(X)))=>((patient(paul)|calm(paul))))&
(![X]:(patient(X)=>(~quiet(X)&old(X))))&
((?[X]:((~happy(X)&~kind(X))))<=>(?[X]:((~calm(X)&patient(X)))))&
((?[X]:(strong(X)))<=>((humble(lucy)<~>creative(lucy))))&
(![... | funny(alice) | [] | null | 0 |
If mary is either not happy or curious then mary is brave and vice versa. If mary is both happy and not tall then someone is not funny. If lucy is creative or humble then alice is not calm or not creative and vice versa. Everyone who is not creative or funny is not rich or not generous and vice versa. Everyone who is b... | Alice is quiet. | contradiction | (((~happy(mary)<~>curious(mary)))<=>(brave(mary)))&
(((happy(mary)&~tall(mary)))=>(?[X]:(~funny(X))))&
(((creative(lucy)|humble(lucy)))<=>((~calm(alice)|~creative(alice))))&
(![X]:((~creative(X)|funny(X))<=>(~rich(X)|~generous(X))))&
(![X]:((~curious(X)&~funny(X))<=>(curious(X)&kind(X))))&
(![X]:((wise(X)&~funny(X))<=>... | quiet(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 10503084868221256750296
% SZS output start Proof for 10503084868221256750296
20. ~curious(alice) & ~quiet(alice) [input p19]
25. quiet(alice) [input hypothesis]
130. ~quiet(alice) [cnf transformation 20]
137. quiet(alice) [cnf transformation 25]
282. $false [subsumption resolution 137,130... | 0 |
If susan is not generous or patient then someone is both calm and funny and vice versa. Everyone who is both creative and funny is creative or not curious. If someone is not patient then john is not happy. Everyone who is not generous or not tall is strong and vice versa. If mary is either happy or not wise then mary i... | Mary is happy. | neutral | (((~generous(susan)|patient(susan)))<=>(?[X]:((calm(X)&funny(X)))))&
(![X]:((creative(X)&funny(X))=>(creative(X)|~curious(X))))&
((?[X]:(~patient(X)))=>(~happy(john)))&
(![X]:((~generous(X)|~tall(X))<=>strong(X)))&
(((happy(mary)<~>~wise(mary)))<=>((patient(mary)|~quiet(mary))))&
(![X]:((happy(X)|patient(X))=>(patient(... | happy(mary) | [] | null | 0 |
Everyone who is not creative or creative is not calm and vice versa. Everyone who is both patient and humble is creative and vice versa. If someone is not quiet then someone is either strong or not generous. Everyone who is quiet or not strong is both quiet and calm and vice versa. Everyone who is both not kind and hap... | Paul is strong. | entailment | (![X]:((~creative(X)|creative(X))<=>~calm(X)))&
(![X]:((patient(X)&humble(X))<=>creative(X)))&
((?[X]:(~quiet(X)))=>(?[X]:((strong(X)<~>~generous(X)))))&
(![X]:((quiet(X)|~strong(X))<=>(quiet(X)&calm(X))))&
(![X]:((~kind(X)&happy(X))<=>~creative(X)))&
(![X]:((funny(X)&~curious(X))<=>wise(X)))&
(![X]:(~old(X)=>quiet(X))... | strong(paul) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5625386112841306503500952
% SZS output start Proof for 5625386112841306503500952
1. ! [X0] : ((creative(X0) | ~creative(X0)) <=> ~calm(X0)) [input p0]
4. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (calm(X0) & quiet(X0))) [input p3]
23. ~strong(paul) [input hypothesis]
33. ! [X0] : (((creativ... | 0 |
If mary is not quiet then someone is both not kind and not brave and vice versa.
Everyone who is either creative or patient is either tall or not tall.
If john is both kind and funny then fred is both not curious and tall.
Everyone who is both not old and not humble is happy and vice versa.
If someone is old then someo... | Paul is wise. | neutral | ((~quiet(mary))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:((creative(X)<~>patient(X))=>(tall(X)<~>~tall(X))))&
(((kind(john)&funny(john)))=>((~curious(fred)&tall(fred))))&
(![X]:((~old(X)&~humble(X))<=>happy(X)))&
((?[X]:(old(X)))=>(?[X]:((~creative(X)<~>~tall(X)))))&
((?[X]:((happy(X)<~>~strong(X))))=>(?[X]:(quiet(X))))... | wise(paul) | [] | null | 0 |
Everyone who is either not strong or not rich is both rich and not old.
If someone is not kind then mary is both happy and not happy.
If susan is kind then someone is not old and vice versa.
If john is rich then someone is not brave and vice versa.
If john is not quiet then john is both curious and not humble.
Everyone... | Lucy is not rich. | contradiction | (![X]:((~strong(X)<~>~rich(X))=>(rich(X)&~old(X))))&
((?[X]:(~kind(X)))=>((happy(mary)&~happy(mary))))&
((kind(susan))<=>(?[X]:(~old(X))))&
((rich(john))<=>(?[X]:(~brave(X))))&
((~quiet(john))=>((curious(john)&~humble(john))))&
(![X]:((humble(X)|~rich(X))=>(happy(X)&brave(X))))&
(![X]:((~strong(X)<~>~curious(X))=>(kind... | ~rich(lucy) | [
"p0",
"p1",
"p5",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7179962031490975430780018
% SZS output start Proof for 7179962031490975430780018
1. ! [X0] : ((~strong(X0) <~> ~rich(X0)) => (~old(X0) & rich(X0))) [input p0]
2. ? [X0] : ~kind(X0) => (~happy(mary) & happy(mary)) [input p1]
6. ! [X0] : ((~rich(X0) | humble(X0)) => (brave(X0) & happy(X0)))... | 0 |
If susan is not brave then fred is either not tall or not funny.
Everyone who is either rich or not happy is not tall or kind.
Everyone who is generous or not brave is both old and not creative and vice versa.
Everyone who is not quiet or generous is either wise or humble.
Everyone who is not rich or not humble is both... | Fred is not generous. | entailment | ((~brave(susan))=>((~tall(fred)<~>~funny(fred))))&
(![X]:((rich(X)<~>~happy(X))=>(~tall(X)|kind(X))))&
(![X]:((generous(X)|~brave(X))<=>(old(X)&~creative(X))))&
(![X]:((~quiet(X)|generous(X))=>(wise(X)<~>humble(X))))&
(![X]:((~rich(X)|~humble(X))=>(~quiet(X)&~creative(X))))&
(![X]:((kind(X)<~>calm(X))=>(~happy(X)|~quie... | ~generous(fred) | [
"p2",
"p4",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2886411169259153679202914
% SZS output start Proof for 2886411169259153679202914
3. ! [X0] : ((~brave(X0) | generous(X0)) <=> (~creative(X0) & old(X0))) [input p2]
5. ! [X0] : ((~humble(X0) | ~rich(X0)) => (~creative(X0) & ~quiet(X0))) [input p4]
11. (wise(fred) | old(fred)) => ? [X0] : (... | 0 |
Everyone who is tall or not strong is not brave. Everyone who is both old and tall is both not calm and not strong. Everyone who is both not patient and creative is either not happy or kind and vice versa. Everyone who is both not tall and not strong is both creative and quiet and vice versa. Everyone who is rich or no... | Fred is humble. | contradiction | (![X]:((tall(X)|~strong(X))=>~brave(X)))&
(![X]:((old(X)&tall(X))=>(~calm(X)&~strong(X))))&
(![X]:((~patient(X)&creative(X))<=>(~happy(X)<~>kind(X))))&
(![X]:((~tall(X)&~strong(X))<=>(creative(X)&quiet(X))))&
(![X]:((rich(X)|~brave(X))<=>(~generous(X)&tall(X))))&
(((~creative(alice)|~brave(alice)))<=>(?[X]:((creative(X... | humble(fred) | [
"p0",
"p3",
"p6",
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8701947990534537644705532
% SZS output start Proof for 8701947990534537644705532
1. ! [X0] : ((~strong(X0) | tall(X0)) => ~brave(X0)) [input p0]
4. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (quiet(X0) & creative(X0))) [input p3]
7. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (kind(X0) | ~brave(... | 0 |
Everyone who is either not generous or wise is not tall or rich.
Everyone who is either not wise or not funny is old and vice versa.
If mary is either not strong or not tall then someone is either not calm or not strong and vice versa.
Everyone who is strong is either not old or humble.
Everyone who is not creative or ... | Mary is not wise. | contradiction | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|rich(X))))&
(![X]:((~wise(X)<~>~funny(X))<=>old(X)))&
(((~strong(mary)<~>~tall(mary)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((patient(fred)|tall... | ~wise(mary) | [
"p1",
"p4",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2509814588673223082418640
% SZS output start Proof for 2509814588673223082418640
2. ! [X0] : ((~wise(X0) <~> ~funny(X0)) <=> old(X0)) [input p1]
5. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~c... | 0 |
If alice is either not happy or tall then someone is both not funny and not wise and vice versa.
Everyone who is not strong is kind.
Everyone who is not strong or brave is not humble.
If susan is not wise then susan is not tall or not calm and vice versa.
Everyone who is not strong or creative is creative and vice vers... | Paul is not tall. | neutral | (((~happy(alice)<~>tall(alice)))<=>(?[X]:((~funny(X)&~wise(X)))))&
(![X]:(~strong(X)=>kind(X)))&
(![X]:((~strong(X)|brave(X))=>~humble(X)))&
((~wise(susan))<=>((~tall(susan)|~calm(susan))))&
(![X]:((~strong(X)|creative(X))<=>creative(X)))&
(((old(susan)&~strong(susan)))=>(?[X]:((~brave(X)|strong(X)))))&
(![X]:(quiet(X)... | ~tall(paul) | [] | null | 0 |
Everyone who is funny is not old or not creative and vice versa.
If someone is creative then someone is quiet or humble and vice versa.
Everyone who is humble is not strong or not calm.
Everyone who is not happy is not old.
If someone is not patient then john is either wise or not old and vice versa.
Everyone who is ei... | John is generous. | neutral | (![X]:(funny(X)<=>(~old(X)|~creative(X))))&
((?[X]:(creative(X)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(humble(X)=>(~strong(X)|~calm(X))))&
(![X]:(~happy(X)=>~old(X)))&
((?[X]:(~patient(X)))<=>((wise(john)<~>~old(john))))&
(![X]:((humble(X)<~>calm(X))=>~old(X)))&
(![X]:((~happy(X)<~>brave(X))=>quiet(X)))&
(![X]:((~r... | generous(john) | [] | null | 0 |
If someone is not kind or rich then someone is either old or not kind. Everyone who is both kind and brave is not humble and vice versa. If someone is not patient or not rich then someone is either curious or not generous and vice versa. If someone is both rich and patient then someone is either not creative or old and... | John is not old. | contradiction | ((?[X]:((~kind(X)|rich(X))))=>(?[X]:((old(X)<~>~kind(X)))))&
(![X]:((kind(X)&brave(X))<=>~humble(X)))&
((?[X]:((~patient(X)|~rich(X))))<=>(?[X]:((curious(X)<~>~generous(X)))))&
((?[X]:((rich(X)&patient(X))))<=>(?[X]:((~creative(X)<~>old(X)))))&
(((kind(fred)&curious(fred)))=>(?[X]:((happy(X)|~generous(X)))))&
(((~patie... | ~old(john) | [
"p6",
"p8",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2104793264363515318929776
% SZS output start Proof for 2104793264363515318929776
7. ! [X0] : ((old(X0) | ~generous(X0)) <=> ~curious(X0)) [input p6]
9. (~kind(john) | ~rich(john)) => (tall(fred) <~> old(fred)) [input p8]
10. ! [X0] : ((calm(X0) | ~strong(X0)) => (~creative(X0) & tall(X0))... | 0 |
Everyone who is both not tall and not old is either strong or patient.
Everyone who is either quiet or not tall is not creative and vice versa.
Everyone who is both not rich and rich is not generous or not curious.
If someone is both not funny and not quiet then someone is both not humble and not patient.
Everyone who ... | Alice is not kind. | contradiction | (![X]:((~tall(X)&~old(X))=>(strong(X)<~>patient(X))))&
(![X]:((quiet(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((~rich(X)&rich(X))=>(~generous(X)|~curious(X))))&
((?[X]:((~funny(X)&~quiet(X))))=>(?[X]:((~humble(X)&~patient(X)))))&
(![X]:((~quiet(X)&~funny(X))=>(~generous(X)&~curious(X))))&
(![X]:((~brave(X)&tall(X))<=>(ge... | ~kind(alice) | [
"p8",
"p10",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 768813210862941382656812
% SZS output start Proof for 768813210862941382656812
9. (~calm(alice) & kind(alice)) <=> ? [X0] : (~generous(X0) | kind(X0)) [input p8]
11. ! [X0] : ((~funny(X0) | patient(X0)) => (~rich(X0) | ~generous(X0))) [input p10]
12. ! [X0] : ((funny(X0) | brave(X0)) => (... | 0 |
Everyone who is strong is not generous or not rich.
Everyone who is not kind or humble is kind and vice versa.
If susan is happy or old then someone is not tall and vice versa.
Everyone who is not happy is both not creative and wise and vice versa.
If fred is either not funny or not calm then mary is not brave and vice... | Alice is calm. | neutral | (![X]:(strong(X)=>(~generous(X)|~rich(X))))&
(![X]:((~kind(X)|humble(X))<=>kind(X)))&
(((happy(susan)|old(susan)))<=>(?[X]:(~tall(X))))&
(![X]:(~happy(X)<=>(~creative(X)&wise(X))))&
(((~funny(fred)<~>~calm(fred)))<=>(~brave(mary)))&
(![X]:((tall(X)|~funny(X))<=>~curious(X)))&
((?[X]:(~humble(X)))=>(?[X]:(~calm(X))))&
(... | calm(alice) | [] | null | 0 |
If someone is either not happy or not patient then mary is not creative. If someone is not curious or not kind then paul is both creative and not generous. Everyone who is not funny or not quiet is not funny or creative and vice versa. If someone is not brave or not generous then susan is not patient. Everyone who is e... | Paul is not old. | entailment | ((?[X]:((~happy(X)<~>~patient(X))))=>(~creative(mary)))&
((?[X]:((~curious(X)|~kind(X))))=>((creative(paul)&~generous(paul))))&
(![X]:((~funny(X)|~quiet(X))<=>(~funny(X)|creative(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(~patient(susan)))&
(![X]:((~happy(X)<~>~brave(X))=>(funny(X)&~generous(X))))&
(![X]:((rich(X)<~>~... | ~old(paul) | [
"p1",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 362845607320834119430626
% SZS output start Proof for 362845607320834119430626
2. ? [X0] : (~kind(X0) | ~curious(X0)) => (~generous(paul) & creative(paul)) [input p1]
15. ! [X0] : (~kind(X0) <=> (~brave(X0) | old(X0))) [input p14]
21. generous(paul) & brave(paul) [input p20]
23. old(paul)... | 0 |
If alice is either wise or not patient then fred is both old and not funny and vice versa.
Everyone who is not generous or not quiet is both rich and kind and vice versa.
If paul is not quiet or kind then someone is both not creative and not calm and vice versa.
If paul is both not quiet and quiet then paul is both not... | Paul is not patient. | neutral | (((wise(alice)<~>~patient(alice)))<=>((old(fred)&~funny(fred))))&
(![X]:((~generous(X)|~quiet(X))<=>(rich(X)&kind(X))))&
(((~quiet(paul)|kind(paul)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(((~quiet(paul)&quiet(paul)))<=>((~creative(paul)&brave(paul))))&
(![X]:((generous(X)|~patient(X))<=>~happy(X)))&
((~wise(alice))=>((... | ~patient(paul) | [] | null | 0 |
Everyone who is either not patient or kind is either not generous or quiet.
If alice is not happy then someone is either curious or not brave and vice versa.
If someone is both old and not kind then someone is not curious or generous and vice versa.
If someone is either creative or quiet then someone is not old and vic... | Alice is not strong. | neutral | (![X]:((~patient(X)<~>kind(X))=>(~generous(X)<~>quiet(X))))&
((~happy(alice))<=>(?[X]:((curious(X)<~>~brave(X)))))&
((?[X]:((old(X)&~kind(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((creative(X)<~>quiet(X))))<=>(?[X]:(~old(X))))&
(![X]:(~wise(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~patient(X)=>(~calm(X)<~>~qui... | ~strong(alice) | [] | null | 0 |
If someone is either not kind or not humble then someone is both not funny and funny and vice versa.
If someone is either happy or wise then lucy is tall or not happy.
Everyone who is both curious and calm is both not tall and strong.
Everyone who is not wise or wise is both humble and brave and vice versa.
If someone ... | Mary is not patient. | neutral | ((?[X]:((~kind(X)<~>~humble(X))))<=>(?[X]:((~funny(X)&funny(X)))))&
((?[X]:((happy(X)<~>wise(X))))=>((tall(lucy)|~happy(lucy))))&
(![X]:((curious(X)&calm(X))=>(~tall(X)&strong(X))))&
(![X]:((~wise(X)|wise(X))<=>(humble(X)&brave(X))))&
((?[X]:(~wise(X)))<=>((~generous(lucy)<~>~happy(lucy))))&
(![X]:((old(X)|~old(X))=>(c... | ~patient(mary) | [] | null | 0 |
Everyone who is both humble and not patient is either not funny or not curious and vice versa.
Everyone who is kind is not old or strong.
Everyone who is either not calm or rich is both quiet and not patient.
Everyone who is both not curious and funny is not humble and vice versa.
If someone is either not funny or not ... | Susan is curious. | entailment | (![X]:((humble(X)&~patient(X))<=>(~funny(X)<~>~curious(X))))&
(![X]:(kind(X)=>(~old(X)|strong(X))))&
(![X]:((~calm(X)<~>rich(X))=>(quiet(X)&~patient(X))))&
(![X]:((~curious(X)&funny(X))<=>~humble(X)))&
((?[X]:((~funny(X)<~>~brave(X))))=>(funny(paul)))&
((?[X]:((curious(X)|~tall(X))))=>(?[X]:((happy(X)|~creative(X)))))&... | curious(susan) | [
"p0",
"p3",
"p4",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5880920099591293369436586
% SZS output start Proof for 5880920099591293369436586
1. ! [X0] : ((~patient(X0) & humble(X0)) <=> (~funny(X0) <~> ~curious(X0))) [input p0]
4. ! [X0] : ((funny(X0) & ~curious(X0)) <=> ~humble(X0)) [input p3]
5. ? [X0] : (~funny(X0) <~> ~brave(X0)) => funny(paul... | 0 |
If lucy is either not generous or old then lucy is either not brave or not tall and vice versa.
Everyone who is not tall is tall.
Everyone who is not curious or humble is brave.
If alice is both not strong and not old then john is funny or not happy.
If susan is either happy or not calm then someone is not brave.
Every... | Alice is calm. | neutral | (((~generous(lucy)<~>old(lucy)))<=>((~brave(lucy)<~>~tall(lucy))))&
(![X]:(~tall(X)=>tall(X)))&
(![X]:((~curious(X)|humble(X))=>brave(X)))&
(((~strong(alice)&~old(alice)))=>((funny(john)|~happy(john))))&
(((happy(susan)<~>~calm(susan)))=>(?[X]:(~brave(X))))&
(![X]:((strong(X)<~>~strong(X))=>(~humble(X)<~>kind(X))))&
(!... | calm(alice) | [] | null | 0 |
If someone is either creative or not brave then someone is not strong or not brave. Everyone who is old or strong is humble and vice versa. Everyone who is not rich or brave is either generous or quiet. Everyone who is calm or not patient is both happy and old. If someone is not humble or generous then someone is not g... | Fred is not rich. | neutral | ((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((old(X)|strong(X))<=>humble(X)))&
(![X]:((~rich(X)|brave(X))=>(generous(X)<~>quiet(X))))&
(![X]:((calm(X)|~patient(X))=>(happy(X)&old(X))))&
((?[X]:((~humble(X)|generous(X))))<=>(?[X]:(~generous(X))))&
(((creative(paul)|~patient(paul)))<=>(?[... | ~rich(fred) | [] | null | 0 |
Everyone who is calm is old or not creative and vice versa. If alice is either not wise or old then lucy is not humble or old and vice versa. Everyone who is both generous and not funny is not curious and vice versa. Everyone who is either not brave or not generous is wise or tall and vice versa. If someone is either n... | Alice is wise. | neutral | (![X]:(calm(X)<=>(old(X)|~creative(X))))&
(((~wise(alice)<~>old(alice)))<=>((~humble(lucy)|old(lucy))))&
(![X]:((generous(X)&~funny(X))<=>~curious(X)))&
(![X]:((~brave(X)<~>~generous(X))<=>(wise(X)|tall(X))))&
((?[X]:((~strong(X)<~>~creative(X))))<=>(?[X]:((old(X)<~>~quiet(X)))))&
(![X]:((~rich(X)&kind(X))<=>(~tall(X)|... | wise(alice) | [] | null | 0 |
If someone is not wise or wise then john is either not calm or kind and vice versa. If susan is either not brave or not happy then someone is either not curious or generous and vice versa. Everyone who is kind is either wise or funny and vice versa. Everyone who is both quiet and creative is creative or wise. If someon... | Fred is not funny. | neutral | ((?[X]:((~wise(X)|wise(X))))<=>((~calm(john)<~>kind(john))))&
(((~brave(susan)<~>~happy(susan)))<=>(?[X]:((~curious(X)<~>generous(X)))))&
(![X]:(kind(X)<=>(wise(X)<~>funny(X))))&
(![X]:((quiet(X)&creative(X))=>(creative(X)|wise(X))))&
((?[X]:((humble(X)&old(X))))<=>(?[X]:((brave(X)<~>kind(X)))))&
(![X]:((~strong(X)|~fu... | ~funny(fred) | [] | null | 0 |
If susan is either generous or calm then susan is not old or not humble and vice versa.
Everyone who is not creative is not generous or kind and vice versa.
If someone is both not tall and quiet then someone is both not kind and not wise and vice versa.
If someone is not kind then lucy is either creative or old.
Everyo... | Paul is not calm. | entailment | (((generous(susan)<~>calm(susan)))<=>((~old(susan)|~humble(susan))))&
(![X]:(~creative(X)<=>(~generous(X)|kind(X))))&
((?[X]:((~tall(X)&quiet(X))))<=>(?[X]:((~kind(X)&~wise(X)))))&
((?[X]:(~kind(X)))=>((creative(lucy)<~>old(lucy))))&
(![X]:((~curious(X)<~>wise(X))<=>(wise(X)&~curious(X))))&
(![X]:(~happy(X)<=>(generous... | ~calm(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8380601296345009137643419
% SZS output start Proof for 8380601296345009137643419
18. ~calm(paul) & rich(paul) [input p17]
24. calm(paul) [input hypothesis]
125. ~calm(paul) [cnf transformation 18]
133. calm(paul) [cnf transformation 24]
258. $false [subsumption resolution 133,125]
% SZS o... | 0 |
If paul is calm then mary is quiet and vice versa.
Everyone who is either not strong or strong is both not strong and happy and vice versa.
If someone is curious or quiet then someone is both not rich and not happy.
Everyone who is not rich is both brave and not creative.
If mary is either creative or calm then alice i... | Paul is happy. | entailment | ((calm(paul))<=>(quiet(mary)))&
(![X]:((~strong(X)<~>strong(X))<=>(~strong(X)&happy(X))))&
((?[X]:((curious(X)|quiet(X))))=>(?[X]:((~rich(X)&~happy(X)))))&
(![X]:(~rich(X)=>(brave(X)&~creative(X))))&
(((creative(mary)<~>calm(mary)))=>((~old(alice)<~>~tall(alice))))&
(![X]:((~strong(X)|~creative(X))=>(~quiet(X)&~curious... | happy(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1324742347454243929234301
% SZS output start Proof for 1324742347454243929234301
2. ! [X0] : ((~strong(X0) <~> strong(X0)) <=> (happy(X0) & ~strong(X0))) [input p1]
23. ~happy(paul) [input hypothesis]
39. ! [X0] : ((((~strong(X0) | strong(X0)) & (strong(X0) | ~strong(X0))) | (~happy(X0) |... | 0 |
If paul is not patient then john is rich or humble. If someone is not creative then paul is funny and vice versa. Everyone who is both not curious and curious is brave or humble and vice versa. Everyone who is either creative or funny is not kind. Everyone who is either generous or brave is not patient or quiet. If som... | John is calm. | neutral | ((~patient(paul))=>((rich(john)|humble(john))))&
((?[X]:(~creative(X)))<=>(funny(paul)))&
(![X]:((~curious(X)&curious(X))<=>(brave(X)|humble(X))))&
(![X]:((creative(X)<~>funny(X))=>~kind(X)))&
(![X]:((generous(X)<~>brave(X))=>(~patient(X)|quiet(X))))&
((?[X]:(quiet(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((~happy(X)|~patient... | calm(john) | [] | null | 0 |
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