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 someone is strong or calm then susan is tall or not old and vice versa.
Everyone who is not rich is either not humble or calm and vice versa.
If lucy is both old and patient then lucy is not wise or not brave and vice versa.
If someone is either patient or humble then someone is curious and vice versa.
Everyone who ... | Mary is not funny. | neutral | ((?[X]:((strong(X)|calm(X))))<=>((tall(susan)|~old(susan))))&
(![X]:(~rich(X)<=>(~humble(X)<~>calm(X))))&
(((old(lucy)&patient(lucy)))<=>((~wise(lucy)|~brave(lucy))))&
((?[X]:((patient(X)<~>humble(X))))<=>(?[X]:(curious(X))))&
(![X]:((~creative(X)<~>rich(X))<=>(~patient(X)&~curious(X))))&
((~curious(john))<=>(?[X]:(ric... | ~funny(mary) | [] | null | 0 |
Everyone who is not happy or patient is either not wise or quiet and vice versa. Everyone who is either not funny or creative is rich. If susan is strong then fred is strong or not calm. If alice is either not patient or funny then someone is wise or tall. Everyone who is not humble or not patient is either wise or not... | Lucy is not humble. | neutral | (![X]:((~happy(X)|patient(X))<=>(~wise(X)<~>quiet(X))))&
(![X]:((~funny(X)<~>creative(X))=>rich(X)))&
((strong(susan))=>((strong(fred)|~calm(fred))))&
(((~patient(alice)<~>funny(alice)))=>(?[X]:((wise(X)|tall(X)))))&
(![X]:((~humble(X)|~patient(X))=>(wise(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>rich(X))))<=>((~rich(... | ~humble(lucy) | [] | null | 0 |
Everyone who is both not tall and brave is both not brave and not wise.
Everyone who is either not wise or not calm is quiet or curious and vice versa.
Everyone who is either tall or not happy is not rich and vice versa.
Everyone who is not generous or brave is both generous and not kind.
Everyone who is either not cre... | Mary is kind. | contradiction | (![X]:((~tall(X)&brave(X))=>(~brave(X)&~wise(X))))&
(![X]:((~wise(X)<~>~calm(X))<=>(quiet(X)|curious(X))))&
(![X]:((tall(X)<~>~happy(X))<=>~rich(X)))&
(![X]:((~generous(X)|brave(X))=>(generous(X)&~kind(X))))&
(![X]:((~creative(X)<~>~brave(X))<=>(~creative(X)<~>strong(X))))&
(![X]:((patient(X)&curious(X))<=>(strong(X)|~... | kind(mary) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2959695269640194043446818
% SZS output start Proof for 2959695269640194043446818
4. ! [X0] : ((brave(X0) | ~generous(X0)) => (~kind(X0) & generous(X0))) [input p3]
15. ? [X0] : kind(X0) <=> (~creative(mary) & brave(mary)) [input p14]
25. kind(mary) [input hypothesis]
28. ! [X0] : ((~kind(... | 0 |
If mary is both not wise and strong then mary is not creative.
Everyone who is strong is generous or strong and vice versa.
If susan is both creative and not humble then lucy is both strong and patient.
If mary is not kind then fred is both generous and not patient.
Everyone who is both calm and quiet is not tall or ri... | Lucy is not happy. | neutral | (((~wise(mary)&strong(mary)))=>(~creative(mary)))&
(![X]:(strong(X)<=>(generous(X)|strong(X))))&
(((creative(susan)&~humble(susan)))=>((strong(lucy)&patient(lucy))))&
((~kind(mary))=>((generous(fred)&~patient(fred))))&
(![X]:((calm(X)&quiet(X))<=>(~tall(X)|rich(X))))&
((~humble(john))=>((~rich(fred)|~creative(fred))))&... | ~happy(lucy) | [] | null | 0 |
Everyone who is not strong or old is humble or not brave.
If alice is either happy or not curious then alice is either old or not generous and vice versa.
If someone is creative or funny then alice is strong or humble.
Everyone who is creative or humble is not tall or tall and vice versa.
Everyone who is either generou... | Paul is not kind. | neutral | (![X]:((~strong(X)|old(X))=>(humble(X)|~brave(X))))&
(((happy(alice)<~>~curious(alice)))<=>((old(alice)<~>~generous(alice))))&
((?[X]:((creative(X)|funny(X))))=>((strong(alice)|humble(alice))))&
(![X]:((creative(X)|humble(X))<=>(~tall(X)|tall(X))))&
(![X]:((generous(X)<~>~humble(X))=>happy(X)))&
(((~tall(paul)|~old(pau... | ~kind(paul) | [] | null | 0 |
Everyone who is curious or not rich is both not calm and not kind and vice versa. If someone is both happy and rich then mary is either not curious or not humble and vice versa. If someone is wise or calm then someone is patient or not generous and vice versa. Everyone who is both not strong and not quiet is both not q... | John is not brave. | neutral | (![X]:((curious(X)|~rich(X))<=>(~calm(X)&~kind(X))))&
((?[X]:((happy(X)&rich(X))))<=>((~curious(mary)<~>~humble(mary))))&
((?[X]:((wise(X)|calm(X))))<=>(?[X]:((patient(X)|~generous(X)))))&
(![X]:((~strong(X)&~quiet(X))=>(~quiet(X)&~rich(X))))&
(((generous(john)&~rich(john)))=>(?[X]:((tall(X)<~>~quiet(X)))))&
(((~calm(s... | ~brave(john) | [] | null | 0 |
If paul is not brave then someone is either tall or not humble.
If someone is either not humble or not brave then alice is creative.
Everyone who is either not old or not creative is patient and vice versa.
If someone is quiet or not rich then someone is not strong or patient.
Everyone who is generous is either not old... | Susan is strong. | contradiction | ((~brave(paul))=>(?[X]:((tall(X)<~>~humble(X)))))&
((?[X]:((~humble(X)<~>~brave(X))))=>(creative(alice)))&
(![X]:((~old(X)<~>~creative(X))<=>patient(X)))&
((?[X]:((quiet(X)|~rich(X))))=>(?[X]:((~strong(X)|patient(X)))))&
(![X]:(generous(X)<=>(~old(X)<~>quiet(X))))&
(((rich(paul)|~wise(paul)))=>(?[X]:((wise(X)&patient(X... | strong(susan) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2838213743981275034178613
% SZS output start Proof for 2838213743981275034178613
24. ~strong(susan) & ~wise(susan) [input p23]
25. strong(susan) [input hypothesis]
149. ~strong(susan) [cnf transformation 24]
150. strong(susan) [cnf transformation 25]
335. $false [subsumption resolution 15... | 0 |
Everyone who is not kind is happy or not rich.
If someone is tall or not creative then paul is not tall or brave and vice versa.
If alice is either not patient or curious then someone is either calm or rich and vice versa.
Everyone who is either not patient or creative is either not old or wise.
Everyone who is either ... | Susan is brave. | entailment | (![X]:(~kind(X)=>(happy(X)|~rich(X))))&
((?[X]:((tall(X)|~creative(X))))<=>((~tall(paul)|brave(paul))))&
(((~patient(alice)<~>curious(alice)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~patient(X)<~>creative(X))=>(~old(X)<~>wise(X))))&
(![X]:((~kind(X)<~>brave(X))<=>brave(X)))&
(![X]:((calm(X)<~>~old(X))=>~funny(X)))&
(... | brave(susan) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7775172925192554059185038
% SZS output start Proof for 7775172925192554059185038
9. ! [X0] : ((~generous(X0) & humble(X0)) <=> ~patient(X0)) [input p8]
11. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> (generous(X0) & ~patient(X0))) [input p10]
25. ~brave(susan) [input hypothesis]
51. ! [X0] :... | 0 |
If lucy is both wise and tall then mary is either not creative or not funny and vice versa.
Everyone who is tall or generous is both not creative and calm and vice versa.
If mary is both not strong and happy then someone is both funny and not funny.
If fred is either curious or not rich then someone is both happy and n... | Fred is strong. | contradiction | (((wise(lucy)&tall(lucy)))<=>((~creative(mary)<~>~funny(mary))))&
(![X]:((tall(X)|generous(X))<=>(~creative(X)&calm(X))))&
(((~strong(mary)&happy(mary)))=>(?[X]:((funny(X)&~funny(X)))))&
(((curious(fred)<~>~rich(fred)))<=>(?[X]:((happy(X)&~calm(X)))))&
(![X]:(~wise(X)<=>~generous(X)))&
(![X]:((creative(X)<~>rich(X))=>(... | strong(fred) | [
"p7",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8132548298364427503714989
% SZS output start Proof for 8132548298364427503714989
8. ! [X0] : (funny(X0) <=> ~quiet(X0)) [input p7]
9. ! [X0] : ((~curious(X0) | curious(X0)) => ~generous(X0)) [input p8]
13. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> ~quiet(X0)) [input p12]
15. ! [X0] : ((~... | 0 |
Everyone who is rich or not calm is either quiet or not curious and vice versa. Everyone who is not calm is tall or rich and vice versa. If someone is old then someone is both strong and not happy. Everyone who is either not patient or not humble is patient and vice versa. Everyone who is strong or kind is either not w... | Mary is kind. | contradiction | (![X]:((rich(X)|~calm(X))<=>(quiet(X)<~>~curious(X))))&
(![X]:(~calm(X)<=>(tall(X)|rich(X))))&
((?[X]:(old(X)))=>(?[X]:((strong(X)&~happy(X)))))&
(![X]:((~patient(X)<~>~humble(X))<=>patient(X)))&
(![X]:((strong(X)|kind(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((~patient(X)&~kind(X))<=>(humble(X)<~>~kind(X))))&
(![X]:((~humb... | kind(mary) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7354061784742283153437564
% SZS output start Proof for 7354061784742283153437564
4. ! [X0] : ((~patient(X0) <~> ~humble(X0)) <=> patient(X0)) [input p3]
11. ! [X0] : ((~humble(X0) | ~tall(X0)) => ~kind(X0)) [input p10]
25. kind(mary) [input hypothesis]
34. ! [X0] : (~kind(X0) | (humble(X0... | 0 |
Everyone who is either not creative or happy is not brave or not curious.
Everyone who is either creative or brave is quiet or not calm.
Everyone who is not calm or not tall is either calm or not rich.
Everyone who is both kind and not wise is not kind or kind and vice versa.
Everyone who is strong or not funny is both... | John is happy. | neutral | (![X]:((~creative(X)<~>happy(X))=>(~brave(X)|~curious(X))))&
(![X]:((creative(X)<~>brave(X))=>(quiet(X)|~calm(X))))&
(![X]:((~calm(X)|~tall(X))=>(calm(X)<~>~rich(X))))&
(![X]:((kind(X)&~wise(X))<=>(~kind(X)|kind(X))))&
(![X]:((strong(X)|~funny(X))<=>(old(X)&wise(X))))&
((?[X]:((~generous(X)|~humble(X))))=>(?[X]:(~wise(... | happy(john) | [] | null | 0 |
If someone is wise or not kind then fred is tall or strong and vice versa.
Everyone who is creative or wise is either not kind or calm.
Everyone who is either kind or tall is either creative or not kind.
Everyone who is not wise is not calm or patient and vice versa.
If lucy is either not patient or not funny then mary... | Fred is not kind. | contradiction | ((?[X]:((wise(X)|~kind(X))))<=>((tall(fred)|strong(fred))))&
(![X]:((creative(X)|wise(X))=>(~kind(X)<~>calm(X))))&
(![X]:((kind(X)<~>tall(X))=>(creative(X)<~>~kind(X))))&
(![X]:(~wise(X)<=>(~calm(X)|patient(X))))&
(((~patient(lucy)<~>~funny(lucy)))<=>(~happy(mary)))&
((?[X]:((~old(X)&~kind(X))))<=>((rich(alice)|~brave(... | ~kind(fred) | [
"p1",
"p3",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2292951300412720270945280
% SZS output start Proof for 2292951300412720270945280
2. ! [X0] : ((wise(X0) | creative(X0)) => (~kind(X0) <~> calm(X0))) [input p1]
4. ! [X0] : (~wise(X0) <=> (patient(X0) | ~calm(X0))) [input p3]
13. ! [X0] : (~wise(X0) <=> (~creative(X0) | quiet(X0))) [input ... | 0 |
Everyone who is not wise is either not tall or quiet and vice versa.
Everyone who is calm or not happy is brave or funny.
Everyone who is either generous or not calm is either not funny or not tall.
Everyone who is either kind or wise is strong and vice versa.
Everyone who is both not funny and calm is both humble and ... | John is not generous. | neutral | (![X]:(~wise(X)<=>(~tall(X)<~>quiet(X))))&
(![X]:((calm(X)|~happy(X))=>(brave(X)|funny(X))))&
(![X]:((generous(X)<~>~calm(X))=>(~funny(X)<~>~tall(X))))&
(![X]:((kind(X)<~>wise(X))<=>strong(X)))&
(![X]:((~funny(X)&calm(X))<=>(humble(X)&~humble(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(~wise(X)&~strong(X))))&
(((~wise(john)... | ~generous(john) | [] | null | 0 |
If someone is patient then someone is either not brave or kind.
If someone is both not rich and funny then fred is not brave or generous and vice versa.
Everyone who is rich is not quiet or not happy and vice versa.
If someone is either not happy or humble then alice is rich or not strong and vice versa.
If someone is ... | Fred is not rich. | contradiction | ((?[X]:(patient(X)))=>(?[X]:((~brave(X)<~>kind(X)))))&
((?[X]:((~rich(X)&funny(X))))<=>((~brave(fred)|generous(fred))))&
(![X]:(rich(X)<=>(~quiet(X)|~happy(X))))&
((?[X]:((~happy(X)<~>humble(X))))<=>((rich(alice)|~strong(alice))))&
((?[X]:(old(X)))<=>(funny(paul)))&
((?[X]:((strong(X)&~tall(X))))<=>(?[X]:((patient(X)<~... | ~rich(fred) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 182019593152641158769513
% SZS output start Proof for 182019593152641158769513
3. ! [X0] : (rich(X0) <=> (~happy(X0) | ~quiet(X0))) [input p2]
8. ! [X0] : ((kind(X0) | happy(X0)) <=> (~quiet(X0) & ~rich(X0))) [input p7]
19. ~rich(fred) [input hypothesis]
41. ! [X0] : ((rich(X0) | (happy(X... | 0 |
Everyone who is not creative or not brave is both creative and old.
Everyone who is calm or not creative is not generous and vice versa.
Everyone who is either calm or happy is both not curious and old and vice versa.
Everyone who is either not strong or creative is either creative or tall and vice versa.
If someone is... | Mary is not brave. | neutral | (![X]:((~creative(X)|~brave(X))=>(creative(X)&old(X))))&
(![X]:((calm(X)|~creative(X))<=>~generous(X)))&
(![X]:((calm(X)<~>happy(X))<=>(~curious(X)&old(X))))&
(![X]:((~strong(X)<~>creative(X))<=>(creative(X)<~>tall(X))))&
((?[X]:((~funny(X)<~>~old(X))))=>(wise(john)))&
(![X]:((~wise(X)|calm(X))<=>(brave(X)<~>funny(X)))... | ~brave(mary) | [] | null | 0 |
Everyone who is not curious is not happy and vice versa.
Everyone who is not creative or tall is both not quiet and quiet and vice versa.
If someone is either not creative or happy then someone is not creative or happy and vice versa.
Everyone who is either not happy or quiet is tall and vice versa.
Everyone who is ric... | Alice is not brave. | neutral | (![X]:(~curious(X)<=>~happy(X)))&
(![X]:((~creative(X)|tall(X))<=>(~quiet(X)&quiet(X))))&
((?[X]:((~creative(X)<~>happy(X))))<=>(?[X]:((~creative(X)|happy(X)))))&
(![X]:((~happy(X)<~>quiet(X))<=>tall(X)))&
(![X]:(rich(X)=>(old(X)<~>~tall(X))))&
((?[X]:((tall(X)|~curious(X))))<=>((~wise(fred)&kind(fred))))&
(((quiet(mar... | ~brave(alice) | [] | null | 0 |
If susan is not rich then someone is either tall or not humble. Everyone who is either generous or patient is not happy. If mary is both not tall and not generous then someone is not wise. Everyone who is rich or not generous is not funny or not happy and vice versa. Everyone who is not wise is both not quiet and not b... | Lucy is brave. | contradiction | ((~rich(susan))=>(?[X]:((tall(X)<~>~humble(X)))))&
(![X]:((generous(X)<~>patient(X))=>~happy(X)))&
(((~tall(mary)&~generous(mary)))=>(?[X]:(~wise(X))))&
(![X]:((rich(X)|~generous(X))<=>(~funny(X)|~happy(X))))&
(![X]:(~wise(X)<=>(~quiet(X)&~brave(X))))&
((?[X]:((strong(X)&funny(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X... | brave(lucy) | [
"p4",
"p5",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5956050751039417814269172
% SZS output start Proof for 5956050751039417814269172
5. ! [X0] : (~wise(X0) <=> (~brave(X0) & ~quiet(X0))) [input p4]
6. ? [X0] : (funny(X0) & strong(X0)) <=> ? [X0] : (~kind(X0) & wise(X0)) [input p5]
12. ! [X0] : (~kind(X0) <=> (humble(X0) | old(X0))) [input ... | 0 |
If lucy is both not quiet and not calm then someone is both not curious and funny.
Everyone who is either not kind or not tall is both not generous and not humble and vice versa.
Everyone who is both creative and strong is strong or patient and vice versa.
Everyone who is calm or not funny is either old or patient and ... | Susan is funny. | contradiction | (((~quiet(lucy)&~calm(lucy)))=>(?[X]:((~curious(X)&funny(X)))))&
(![X]:((~kind(X)<~>~tall(X))<=>(~generous(X)&~humble(X))))&
(![X]:((creative(X)&strong(X))<=>(strong(X)|patient(X))))&
(![X]:((calm(X)|~funny(X))<=>(old(X)<~>patient(X))))&
((?[X]:((~curious(X)|happy(X))))=>(?[X]:((calm(X)<~>wise(X)))))&
(((~strong(paul)|... | funny(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 652886630822047337710693
% SZS output start Proof for 652886630822047337710693
14. ! [X0] : ((~funny(X0) & ~brave(X0)) <=> (patient(X0) | funny(X0))) [input p13]
25. funny(susan) [input hypothesis]
66. ! [X0] : (((~funny(X0) & ~brave(X0)) | (~patient(X0) & ~funny(X0))) & ((patient(X0) | f... | 0 |
Everyone who is either not creative or not funny is happy or humble and vice versa.
Everyone who is either strong or not generous is both not patient and funny and vice versa.
If someone is not happy or not quiet then someone is happy or not quiet and vice versa.
Everyone who is either not happy or happy is not humble.... | Paul is not humble. | entailment | (![X]:((~creative(X)<~>~funny(X))<=>(happy(X)|humble(X))))&
(![X]:((strong(X)<~>~generous(X))<=>(~patient(X)&funny(X))))&
((?[X]:((~happy(X)|~quiet(X))))<=>(?[X]:((happy(X)|~quiet(X)))))&
(![X]:((~happy(X)<~>happy(X))=>~humble(X)))&
((?[X]:((generous(X)|happy(X))))=>(~humble(alice)))&
((?[X]:(~strong(X)))=>(?[X]:((calm... | ~humble(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5647209135669755438377678
% SZS output start Proof for 5647209135669755438377678
4. ! [X0] : ((~happy(X0) <~> happy(X0)) => ~humble(X0)) [input p3]
25. humble(paul) [input hypothesis]
30. ! [X0] : (~humble(X0) | (~happy(X0) <=> happy(X0))) [ennf transformation 4]
48. ! [X0] : (~humble(X0)... | 0 |
Everyone who is not tall is not curious and vice versa. Everyone who is funny or kind is tall and vice versa. Everyone who is not calm or not happy is both not wise and happy and vice versa. Everyone who is both tall and not curious is either not wise or rich. Everyone who is funny or not rich is either funny or not ta... | John is rich. | contradiction | (![X]:(~tall(X)<=>~curious(X)))&
(![X]:((funny(X)|kind(X))<=>tall(X)))&
(![X]:((~calm(X)|~happy(X))<=>(~wise(X)&happy(X))))&
(![X]:((tall(X)&~curious(X))=>(~wise(X)<~>rich(X))))&
(![X]:((funny(X)|~rich(X))<=>(funny(X)<~>~tall(X))))&
(![X]:((~rich(X)<~>rich(X))=>humble(X)))&
((?[X]:(funny(X)))=>(?[X]:((~brave(X)|~humble... | rich(john) | [
"p0",
"p1",
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 200955625234066392690934
% SZS output start Proof for 200955625234066392690934
1. ! [X0] : (~tall(X0) <=> ~curious(X0)) [input p0]
2. ! [X0] : ((kind(X0) | funny(X0)) <=> tall(X0)) [input p1]
5. ! [X0] : ((~rich(X0) | funny(X0)) <=> (funny(X0) <~> ~tall(X0))) [input p4]
20. ~curious(john)... | 0 |
If someone is old then alice is not generous or generous. Everyone who is not tall or not quiet is either not curious or calm. Everyone who is either not old or not wise is both not quiet and not tall. Everyone who is both humble and creative is old and vice versa. If someone is both kind and old then mary is either ta... | Lucy is calm. | neutral | ((?[X]:(old(X)))=>((~generous(alice)|generous(alice))))&
(![X]:((~tall(X)|~quiet(X))=>(~curious(X)<~>calm(X))))&
(![X]:((~old(X)<~>~wise(X))=>(~quiet(X)&~tall(X))))&
(![X]:((humble(X)&creative(X))<=>old(X)))&
((?[X]:((kind(X)&old(X))))=>((tall(mary)<~>happy(mary))))&
(((calm(lucy)&~calm(lucy)))<=>((tall(mary)&~rich(mar... | calm(lucy) | [] | null | 0 |
Everyone who is old or not brave is kind or rich.
Everyone who is either not creative or kind is either quiet or not funny and vice versa.
Everyone who is not strong or not wise is either not quiet or not humble and vice versa.
Everyone who is either not curious or tall is either old or brave and vice versa.
If susan i... | Susan is rich. | neutral | (![X]:((old(X)|~brave(X))=>(kind(X)|rich(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(quiet(X)<~>~funny(X))))&
(![X]:((~strong(X)|~wise(X))<=>(~quiet(X)<~>~humble(X))))&
(![X]:((~curious(X)<~>tall(X))<=>(old(X)<~>brave(X))))&
(((patient(susan)<~>~kind(susan)))=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:((~tall(X)|humble(X))<=... | rich(susan) | [] | null | 0 |
Everyone who is both strong and not brave is wise and vice versa. Everyone who is both tall and rich is either humble or not patient and vice versa. Everyone who is generous or rich is either rich or not tall. If someone is either old or patient then john is not generous or not kind. Everyone who is both not curious an... | Paul is brave. | contradiction | (![X]:((strong(X)&~brave(X))<=>wise(X)))&
(![X]:((tall(X)&rich(X))<=>(humble(X)<~>~patient(X))))&
(![X]:((generous(X)|rich(X))=>(rich(X)<~>~tall(X))))&
((?[X]:((old(X)<~>patient(X))))=>((~generous(john)|~kind(john))))&
(![X]:((~curious(X)&curious(X))<=>(~generous(X)<~>calm(X))))&
(![X]:((~funny(X)|patient(X))<=>(quiet(... | brave(paul) | [
"p0",
"p2",
"p7",
"p9",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3377718197302625200406312
% SZS output start Proof for 3377718197302625200406312
1. ! [X0] : ((~brave(X0) & strong(X0)) <=> wise(X0)) [input p0]
3. ! [X0] : ((rich(X0) | generous(X0)) => (rich(X0) <~> ~tall(X0))) [input p2]
8. ? [X0] : wise(X0) => (~rich(paul) <~> ~calm(paul)) [input p7]
... | 0 |
If someone is both kind and not wise then someone is both funny and not funny and vice versa.
Everyone who is either rich or not humble is not curious.
If fred is not humble then john is not generous and vice versa.
If john is both funny and wise then fred is funny or patient.
Everyone who is either happy or wise is no... | Lucy is not humble. | entailment | ((?[X]:((kind(X)&~wise(X))))<=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:((rich(X)<~>~humble(X))=>~curious(X)))&
((~humble(fred))<=>(~generous(john)))&
(((funny(john)&wise(john)))=>((funny(fred)|patient(fred))))&
(![X]:((happy(X)<~>wise(X))=>~tall(X)))&
(![X]:((~creative(X)&~quiet(X))<=>(~creative(X)|generous(X))))&
(![X]:... | ~humble(lucy) | [
"p6",
"p7",
"p10",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9043520680732698263867686
% SZS output start Proof for 9043520680732698263867686
7. ! [X0] : ((generous(X0) | ~old(X0)) <=> patient(X0)) [input p6]
8. ! [X0] : ((~kind(X0) <~> ~old(X0)) => (~humble(X0) & brave(X0))) [input p7]
11. ! [X0] : ((old(X0) & strong(X0)) <=> (rich(X0) <~> generou... | 0 |
Everyone who is both happy and patient is either not calm or not generous and vice versa. Everyone who is wise or not generous is both not kind and generous and vice versa. If fred is both not curious and not patient then john is generous or not happy and vice versa. Everyone who is not quiet or old is either not stron... | Susan is not generous. | contradiction | (![X]:((happy(X)&patient(X))<=>(~calm(X)<~>~generous(X))))&
(![X]:((wise(X)|~generous(X))<=>(~kind(X)&generous(X))))&
(((~curious(fred)&~patient(fred)))<=>((generous(john)|~happy(john))))&
(![X]:((~quiet(X)|old(X))<=>(~strong(X)<~>generous(X))))&
(((strong(alice)|creative(alice)))<=>(?[X]:((~quiet(X)|rich(X)))))&
((~ta... | ~generous(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 412854178676117760371945
% SZS output start Proof for 412854178676117760371945
2. ! [X0] : ((~generous(X0) | wise(X0)) <=> (generous(X0) & ~kind(X0))) [input p1]
25. ~generous(susan) [input hypothesis]
35. ! [X0] : (((~generous(X0) | wise(X0)) | (~generous(X0) | kind(X0))) & ((generous(X0... | 0 |
Everyone who is either creative or patient is both patient and not strong.
If someone is either not happy or not kind then someone is either not old or not quiet and vice versa.
Everyone who is either generous or not tall is both calm and not generous.
If lucy is not strong or wise then someone is quiet or not quiet an... | Lucy is creative. | entailment | (![X]:((creative(X)<~>patient(X))=>(patient(X)&~strong(X))))&
((?[X]:((~happy(X)<~>~kind(X))))<=>(?[X]:((~old(X)<~>~quiet(X)))))&
(![X]:((generous(X)<~>~tall(X))=>(calm(X)&~generous(X))))&
(((~strong(lucy)|wise(lucy)))<=>(?[X]:((quiet(X)|~quiet(X)))))&
(((~kind(john)&brave(john)))<=>(?[X]:(~old(X))))&
((?[X]:((~patient... | creative(lucy) | [
"p0",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1276499807144725676593142
% SZS output start Proof for 1276499807144725676593142
1. ! [X0] : ((creative(X0) <~> patient(X0)) => (~strong(X0) & patient(X0))) [input p0]
4. (wise(lucy) | ~strong(lucy)) <=> ? [X0] : (~quiet(X0) | quiet(X0)) [input p3]
8. ! [X0] : ((~strong(X0) | ~generous(X0... | 0 |
If mary is either not old or not kind then someone is either old or quiet and vice versa. Everyone who is both not humble and not patient is both not happy and old. Everyone who is not humble or old is strong or generous and vice versa. If susan is both not strong and not kind then someone is happy and vice versa. Ever... | John is not humble. | entailment | (((~old(mary)<~>~kind(mary)))<=>(?[X]:((old(X)<~>quiet(X)))))&
(![X]:((~humble(X)&~patient(X))=>(~happy(X)&old(X))))&
(![X]:((~humble(X)|old(X))<=>(strong(X)|generous(X))))&
(((~strong(susan)&~kind(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~humble(X)<~>wise(X))=>(kind(X)<~>patient(X))))&
(![X]:((~creative(X)|curious(X))=>... | ~humble(john) | [
"p2",
"p6",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7602369314424434031930616
% SZS output start Proof for 7602369314424434031930616
3. ! [X0] : ((old(X0) | ~humble(X0)) <=> (generous(X0) | strong(X0))) [input p2]
7. ? [X0] : ~strong(X0) <=> (~creative(mary) & calm(mary)) [input p6]
16. ! [X0] : ((~calm(X0) & curious(X0)) <=> calm(X0)) [in... | 0 |
If mary is either funny or not happy then fred is either rich or not patient.
If john is both not happy and rich then paul is either not creative or not tall.
If someone is brave then someone is either old or curious.
Everyone who is brave or patient is either not wise or not old and vice versa.
Everyone who is either ... | Mary is generous. | contradiction | (((funny(mary)<~>~happy(mary)))=>((rich(fred)<~>~patient(fred))))&
(((~happy(john)&rich(john)))=>((~creative(paul)<~>~tall(paul))))&
((?[X]:(brave(X)))=>(?[X]:((old(X)<~>curious(X)))))&
(![X]:((brave(X)|patient(X))<=>(~wise(X)<~>~old(X))))&
(![X]:((happy(X)<~>humble(X))=>patient(X)))&
(![X]:((~creative(X)|~humble(X))=>... | generous(mary) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6014868002940127641944693
% SZS output start Proof for 6014868002940127641944693
6. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~quiet(X0) & ~generous(X0))) [input p5]
8. ! [X0] : ((~calm(X0) <~> ~creative(X0)) <=> (~humble(X0) | calm(X0))) [input p7]
22. generous(mary) [input hypothesis]... | 0 |
Everyone who is either not strong or rich is both not creative and not wise.
Everyone who is either not kind or not brave is kind.
Everyone who is either not curious or not humble is either patient or not happy and vice versa.
Everyone who is not quiet is either kind or tall and vice versa.
Everyone who is not strong o... | Mary is not brave. | neutral | (![X]:((~strong(X)<~>rich(X))=>(~creative(X)&~wise(X))))&
(![X]:((~kind(X)<~>~brave(X))=>kind(X)))&
(![X]:((~curious(X)<~>~humble(X))<=>(patient(X)<~>~happy(X))))&
(![X]:(~quiet(X)<=>(kind(X)<~>tall(X))))&
(![X]:((~strong(X)|~generous(X))<=>(~kind(X)|~strong(X))))&
((?[X]:((~happy(X)&~quiet(X))))<=>((wise(fred)|~patien... | ~brave(mary) | [] | null | 0 |
Everyone who is generous is calm.
Everyone who is not funny is either generous or not curious and vice versa.
If someone is creative or not creative then someone is both generous and not kind.
Everyone who is not strong or strong is both curious and not funny.
Everyone who is both not patient and humble is either gener... | John is not happy. | entailment | (![X]:(generous(X)=>calm(X)))&
(![X]:(~funny(X)<=>(generous(X)<~>~curious(X))))&
((?[X]:((creative(X)|~creative(X))))=>(?[X]:((generous(X)&~kind(X)))))&
(![X]:((~strong(X)|strong(X))=>(curious(X)&~funny(X))))&
(![X]:((~patient(X)&humble(X))<=>(generous(X)<~>funny(X))))&
(![X]:((~rich(X)<~>creative(X))=>(~funny(X)&calm(... | ~happy(john) | [
"p0",
"p1",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7800668152234880981314091
% SZS output start Proof for 7800668152234880981314091
1. ! [X0] : (generous(X0) => calm(X0)) [input p0]
2. ! [X0] : (~funny(X0) <=> (generous(X0) <~> ~curious(X0))) [input p1]
4. ! [X0] : ((strong(X0) | ~strong(X0)) => (~funny(X0) & curious(X0))) [input p3]
19. ... | 0 |
Everyone who is both brave and not creative is either curious or kind and vice versa.
Everyone who is wise or not curious is both not creative and not patient.
If someone is both not rich and not old then someone is either rich or curious.
Everyone who is both humble and creative is not quiet or kind and vice versa.
Ev... | Susan is not strong. | contradiction | (![X]:((brave(X)&~creative(X))<=>(curious(X)<~>kind(X))))&
(![X]:((wise(X)|~curious(X))=>(~creative(X)&~patient(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:((rich(X)<~>curious(X)))))&
(![X]:((humble(X)&creative(X))<=>(~quiet(X)|kind(X))))&
(![X]:(humble(X)=>wise(X)))&
(![X]:((~happy(X)&~funny(X))=>(~strong(X)&happy(X)))... | ~strong(susan) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 541711458367673381964212
% SZS output start Proof for 541711458367673381964212
1. ! [X0] : ((~creative(X0) & brave(X0)) <=> (curious(X0) <~> kind(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | wise(X0)) => (~patient(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((creative(X0) & humble(X0)) ... | 0 |
Everyone who is both patient and not generous is either not calm or not generous. Everyone who is quiet is wise. If someone is both not happy and quiet then someone is both funny and wise and vice versa. If john is calm then someone is wise or tall and vice versa. If someone is curious or not creative then paul is not ... | Fred is not happy. | contradiction | (![X]:((patient(X)&~generous(X))=>(~calm(X)<~>~generous(X))))&
(![X]:(quiet(X)=>wise(X)))&
((?[X]:((~happy(X)&quiet(X))))<=>(?[X]:((funny(X)&wise(X)))))&
((calm(john))<=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:((curious(X)|~creative(X))))<=>((~humble(paul)|~funny(paul))))&
(![X]:((quiet(X)|generous(X))=>(~funny(X)<~>brave(... | ~happy(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 468805736249075440802253
% SZS output start Proof for 468805736249075440802253
11. ! [X0] : (old(X0) <=> (~happy(X0) <~> old(X0))) [input p10]
22. ~happy(fred) [input hypothesis]
55. ! [X0] : ((old(X0) | ((~happy(X0) | ~old(X0)) & (old(X0) | happy(X0)))) & (((~old(X0) | happy(X0)) & (old(... | 0 |
If paul is either patient or quiet then paul is rich and vice versa.
Everyone who is either not creative or wise is both not patient and not tall and vice versa.
Everyone who is rich is patient or not funny and vice versa.
If mary is both creative and not creative then someone is brave or tall.
If lucy is both not pati... | Paul is not funny. | contradiction | (((patient(paul)<~>quiet(paul)))<=>(rich(paul)))&
(![X]:((~creative(X)<~>wise(X))<=>(~patient(X)&~tall(X))))&
(![X]:(rich(X)<=>(patient(X)|~funny(X))))&
(((creative(mary)&~creative(mary)))=>(?[X]:((brave(X)|tall(X)))))&
(((~patient(lucy)&kind(lucy)))<=>((brave(paul)<~>~old(paul))))&
(![X]:((~rich(X)<~>~funny(X))<=>~tal... | ~funny(paul) | [
"p2",
"p5",
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6061314295438309728621396
% SZS output start Proof for 6061314295438309728621396
3. ! [X0] : (rich(X0) <=> (~funny(X0) | patient(X0))) [input p2]
6. ! [X0] : ((~rich(X0) <~> ~funny(X0)) <=> ~tall(X0)) [input p5]
8. ! [X0] : (~tall(X0) => (~rich(X0) <~> happy(X0))) [input p7]
9. (~generous... | 0 |
If someone is both funny and not calm then john is not funny or brave and vice versa. If someone is both calm and funny then someone is old and vice versa. If alice is rich then fred is curious. If fred is not wise or not old then someone is both not rich and funny and vice versa. If susan is humble or not strong then ... | Mary is not wise. | neutral | ((?[X]:((funny(X)&~calm(X))))<=>((~funny(john)|brave(john))))&
((?[X]:((calm(X)&funny(X))))<=>(?[X]:(old(X))))&
((rich(alice))=>(curious(fred)))&
(((~wise(fred)|~old(fred)))<=>(?[X]:((~rich(X)&funny(X)))))&
(((humble(susan)|~strong(susan)))<=>((~rich(mary)&humble(mary))))&
(![X]:(funny(X)<=>(generous(X)<~>old(X))))&
((... | ~wise(mary) | [] | null | 0 |
If lucy is either not quiet or not patient then susan is both patient and not quiet and vice versa. If mary is wise then susan is both not happy and rich. Everyone who is both not strong and calm is creative or not old. If john is either humble or tall then someone is either brave or rich. Everyone who is kind or funny... | Paul is not humble. | neutral | (((~quiet(lucy)<~>~patient(lucy)))<=>((patient(susan)&~quiet(susan))))&
((wise(mary))=>((~happy(susan)&rich(susan))))&
(![X]:((~strong(X)&calm(X))=>(creative(X)|~old(X))))&
(((humble(john)<~>tall(john)))=>(?[X]:((brave(X)<~>rich(X)))))&
(![X]:((kind(X)|funny(X))=>(strong(X)|~patient(X))))&
(((~creative(alice)<~>~strong... | ~humble(paul) | [] | null | 0 |
Everyone who is both not creative and not funny is kind and vice versa. Everyone who is both patient and curious is not tall. Everyone who is brave or humble is not strong and vice versa. If susan is both not humble and brave then someone is both happy and not generous and vice versa. Everyone who is both quiet and not... | Lucy is strong. | neutral | (![X]:((~creative(X)&~funny(X))<=>kind(X)))&
(![X]:((patient(X)&curious(X))=>~tall(X)))&
(![X]:((brave(X)|humble(X))<=>~strong(X)))&
(((~humble(susan)&brave(susan)))<=>(?[X]:((happy(X)&~generous(X)))))&
(![X]:((quiet(X)&~quiet(X))<=>(~old(X)|~calm(X))))&
((calm(susan))<=>(kind(fred)))&
(![X]:((wise(X)|~curious(X))=>(st... | strong(lucy) | [] | null | 0 |
If someone is both creative and not old then someone is not brave or funny.
Everyone who is not rich is both not happy and brave.
Everyone who is not humble is either not happy or brave and vice versa.
If someone is patient or rich then someone is either not patient or not quiet.
Everyone who is brave or not strong is ... | Alice is tall. | entailment | ((?[X]:((creative(X)&~old(X))))=>(?[X]:((~brave(X)|funny(X)))))&
(![X]:(~rich(X)=>(~happy(X)&brave(X))))&
(![X]:(~humble(X)<=>(~happy(X)<~>brave(X))))&
((?[X]:((patient(X)|rich(X))))=>(?[X]:((~patient(X)<~>~quiet(X)))))&
(![X]:((brave(X)|~strong(X))<=>(~rich(X)<~>~patient(X))))&
(((~patient(mary)|wise(mary)))<=>(?[X]:(... | tall(alice) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 997771405351672004838649
% SZS output start Proof for 997771405351672004838649
14. ! [X0] : ((patient(X0) | quiet(X0)) <=> ~quiet(X0)) [input p13]
16. ! [X0] : ((~quiet(X0) & strong(X0)) <=> (~strong(X0) & ~tall(X0))) [input p15]
25. ~tall(alice) [input hypothesis]
67. ! [X0] : (((patient... | 0 |
Everyone who is both funny and humble is not tall.
Everyone who is both not brave and not curious is not calm or kind and vice versa.
If someone is both tall and not patient then paul is both not rich and brave and vice versa.
If someone is not quiet or not strong then someone is either strong or generous.
Everyone who... | Paul is not funny. | neutral | (![X]:((funny(X)&humble(X))=>~tall(X)))&
(![X]:((~brave(X)&~curious(X))<=>(~calm(X)|kind(X))))&
((?[X]:((tall(X)&~patient(X))))<=>((~rich(paul)&brave(paul))))&
((?[X]:((~quiet(X)|~strong(X))))=>(?[X]:((strong(X)<~>generous(X)))))&
(![X]:((~generous(X)<~>~patient(X))<=>~wise(X)))&
((?[X]:((~wise(X)|generous(X))))=>(?[X]... | ~funny(paul) | [] | null | 0 |
Everyone who is both generous and calm is either not rich or brave and vice versa.
Everyone who is not curious or not humble is either not creative or not calm and vice versa.
If someone is not old then susan is not calm and vice versa.
Everyone who is strong or not creative is not curious.
Everyone who is either not r... | Paul is not creative. | entailment | (![X]:((generous(X)&calm(X))<=>(~rich(X)<~>brave(X))))&
(![X]:((~curious(X)|~humble(X))<=>(~creative(X)<~>~calm(X))))&
((?[X]:(~old(X)))<=>(~calm(susan)))&
(![X]:((strong(X)|~creative(X))=>~curious(X)))&
(![X]:((~rich(X)<~>brave(X))<=>(humble(X)|old(X))))&
(![X]:((~rich(X)&~kind(X))<=>(generous(X)|~funny(X))))&
((?[X]:... | ~creative(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7082371913327652604327259
% SZS output start Proof for 7082371913327652604327259
1. ! [X0] : ((calm(X0) & generous(X0)) <=> (~rich(X0) <~> brave(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | ~curious(X0)) <=> (~creative(X0) <~> ~calm(X0))) [input p1]
3. ? [X0] : ~old(X0) <=> ~calm(susan) [... | 0 |
Everyone who is either kind or wise is brave.
If fred is wise then lucy is not quiet or funny.
If alice is both not brave and kind then john is tall or not humble and vice versa.
If john is kind then lucy is curious.
Everyone who is not creative is wise and vice versa.
If someone is both patient and not tall then susan... | John is not rich. | contradiction | (![X]:((kind(X)<~>wise(X))=>brave(X)))&
((wise(fred))=>((~quiet(lucy)|funny(lucy))))&
(((~brave(alice)&kind(alice)))<=>((tall(john)|~humble(john))))&
((kind(john))=>(curious(lucy)))&
(![X]:(~creative(X)<=>wise(X)))&
((?[X]:((patient(X)&~tall(X))))<=>((calm(susan)|~funny(susan))))&
(((rich(paul)&brave(paul)))<=>(~happy(... | ~rich(john) | [
"p3",
"p4",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3052961528288991468608306
% SZS output start Proof for 3052961528288991468608306
4. kind(john) => curious(lucy) [input p3]
5. ! [X0] : (~creative(X0) <=> wise(X0)) [input p4]
12. ! [X0] : ((~generous(X0) <~> ~wise(X0)) <=> ~creative(X0)) [input p11]
14. ? [X0] : curious(X0) => (generous(l... | 0 |
Everyone who is both funny and not creative is both not quiet and not funny and vice versa. Everyone who is not kind is either not old or not brave and vice versa. Everyone who is happy or not patient is either not kind or not quiet. Everyone who is quiet or not funny is not creative. Everyone who is happy is kind and ... | Susan is wise. | entailment | (![X]:((funny(X)&~creative(X))<=>(~quiet(X)&~funny(X))))&
(![X]:(~kind(X)<=>(~old(X)<~>~brave(X))))&
(![X]:((happy(X)|~patient(X))=>(~kind(X)<~>~quiet(X))))&
(![X]:((quiet(X)|~funny(X))=>~creative(X)))&
(![X]:(happy(X)<=>kind(X)))&
(![X]:(~happy(X)<=>~rich(X)))&
((?[X]:((~rich(X)|~old(X))))=>(?[X]:((creative(X)|~happy(... | wise(susan) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 348819311937872000338466
% SZS output start Proof for 348819311937872000338466
1. ! [X0] : ((~creative(X0) & funny(X0)) <=> (~funny(X0) & ~quiet(X0))) [input p0]
3. ! [X0] : ((~patient(X0) | happy(X0)) => (~kind(X0) <~> ~quiet(X0))) [input p2]
4. ! [X0] : ((~funny(X0) | quiet(X0)) => ~cre... | 0 |
Everyone who is not humble is rich and vice versa.
Everyone who is both quiet and generous is either generous or creative.
Everyone who is either kind or patient is either quiet or rich.
Everyone who is patient is both rich and not quiet.
If john is both not old and strong then john is strong.
If mary is either funny o... | Fred is humble. | contradiction | (![X]:(~humble(X)<=>rich(X)))&
(![X]:((quiet(X)&generous(X))=>(generous(X)<~>creative(X))))&
(![X]:((kind(X)<~>patient(X))=>(quiet(X)<~>rich(X))))&
(![X]:(patient(X)=>(rich(X)&~quiet(X))))&
(((~old(john)&strong(john)))=>(strong(john)))&
(((funny(mary)<~>~generous(mary)))<=>((~funny(fred)<~>creative(fred))))&
(![X]:((ta... | humble(fred) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4605074879457245587611632
% SZS output start Proof for 4605074879457245587611632
1. ! [X0] : (~humble(X0) <=> rich(X0)) [input p0]
11. ! [X0] : (~rich(X0) <=> (rich(X0) <~> ~humble(X0))) [input p10]
25. humble(fred) [input hypothesis]
39. ! [X0] : ((~humble(X0) | ~rich(X0)) & (rich(X0) | ... | 0 |
Everyone who is not generous or not happy is not tall or kind.
Everyone who is either kind or not quiet is not brave or happy.
Everyone who is either not curious or happy is either humble or not happy.
If someone is tall or curious then alice is either not quiet or calm.
Everyone who is both patient and not happy is ei... | Fred is not creative. | entailment | (![X]:((~generous(X)|~happy(X))=>(~tall(X)|kind(X))))&
(![X]:((kind(X)<~>~quiet(X))=>(~brave(X)|happy(X))))&
(![X]:((~curious(X)<~>happy(X))=>(humble(X)<~>~happy(X))))&
((?[X]:((tall(X)|curious(X))))=>((~quiet(alice)<~>calm(alice))))&
(![X]:((patient(X)&~happy(X))<=>(kind(X)<~>humble(X))))&
(![X]:((~funny(X)&~strong(X)... | ~creative(fred) | [
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8529542948779017570869798
% SZS output start Proof for 8529542948779017570869798
6. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> ~kind(X0)) [input p5]
7. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~wise(X0) | generous(X0))) [input p6]
15. ! [X0] : (creative(X0) <=> (strong(X0) & ~wise(X0))) [input... | 0 |
Everyone who is patient is not funny and vice versa.
If someone is calm or brave then someone is not curious or not calm and vice versa.
Everyone who is not quiet is either not wise or not patient and vice versa.
Everyone who is happy or curious is either curious or not wise and vice versa.
Everyone who is either not c... | Fred is brave. | entailment | (![X]:(patient(X)<=>~funny(X)))&
((?[X]:((calm(X)|brave(X))))<=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:(~quiet(X)<=>(~wise(X)<~>~patient(X))))&
(![X]:((happy(X)|curious(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~calm(X)<~>strong(X))<=>(tall(X)|curious(X))))&
(((~old(paul)<~>~humble(paul)))<=>(?[X]:((~happy(X)&~generous... | brave(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8249538171320987746670839
% SZS output start Proof for 8249538171320987746670839
19. brave(fred) [input p18]
22. ~brave(fred) [input hypothesis]
141. brave(fred) [cnf transformation 19]
144. ~brave(fred) [cnf transformation 22]
300. $false [subsumption resolution 144,141]
% SZS output end... | 0 |
Everyone who is tall or not humble is rich and vice versa. Everyone who is either generous or calm is not funny. Everyone who is not funny or strong is either kind or wise. Everyone who is brave or not humble is both brave and not rich and vice versa. Everyone who is rich is not creative. If mary is either brave or hum... | Lucy is calm. | entailment | (![X]:((tall(X)|~humble(X))<=>rich(X)))&
(![X]:((generous(X)<~>calm(X))=>~funny(X)))&
(![X]:((~funny(X)|strong(X))=>(kind(X)<~>wise(X))))&
(![X]:((brave(X)|~humble(X))<=>(brave(X)&~rich(X))))&
(![X]:(rich(X)=>~creative(X)))&
(((brave(mary)<~>humble(mary)))<=>((calm(john)&~old(john))))&
(![X]:((quiet(X)<~>~happy(X))<=>h... | calm(lucy) | [
"p0",
"p1",
"p3",
"p6",
"p12",
"p13",
"p14",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3027304306289367376891329
% SZS output start Proof for 3027304306289367376891329
1. ! [X0] : ((~humble(X0) | tall(X0)) <=> rich(X0)) [input p0]
2. ! [X0] : ((generous(X0) <~> calm(X0)) => ~funny(X0)) [input p1]
4. ! [X0] : ((~humble(X0) | brave(X0)) <=> (~rich(X0) & brave(X0))) [input p3]... | 0 |
Everyone who is either wise or strong is both not creative and patient and vice versa.
If someone is both not strong and strong then someone is humble and vice versa.
If someone is not tall or curious then someone is both not generous and kind and vice versa.
If someone is calm or curious then susan is both not old and... | Lucy is not creative. | neutral | (![X]:((wise(X)<~>strong(X))<=>(~creative(X)&patient(X))))&
((?[X]:((~strong(X)&strong(X))))<=>(?[X]:(humble(X))))&
((?[X]:((~tall(X)|curious(X))))<=>(?[X]:((~generous(X)&kind(X)))))&
((?[X]:((calm(X)|curious(X))))<=>((~old(susan)&~kind(susan))))&
((?[X]:(~brave(X)))=>(?[X]:((~creative(X)&curious(X)))))&
(((funny(susan... | ~creative(lucy) | [] | null | 0 |
Everyone who is either quiet or not tall is either not quiet or not funny and vice versa.
If lucy is not patient then someone is both not patient and creative and vice versa.
Everyone who is kind or strong is not creative.
If someone is not creative then mary is not kind and vice versa.
Everyone who is funny is not fun... | Alice is not tall. | entailment | (![X]:((quiet(X)<~>~tall(X))<=>(~quiet(X)<~>~funny(X))))&
((~patient(lucy))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:((kind(X)|strong(X))=>~creative(X)))&
((?[X]:(~creative(X)))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X... | ~tall(alice) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 588566657296351272838219
% SZS output start Proof for 588566657296351272838219
8. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p7]
9. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (curious(X0) & ~quiet(X0))) [input p8]
24. tall(alice) [input hypothesis]
53. ! [X0] : (((~kind(X0) &... | 0 |
If someone is wise then someone is tall or curious. If someone is not quiet or not brave then someone is happy and vice versa. Everyone who is either not wise or not creative is curious or not humble and vice versa. If someone is either generous or not happy then someone is kind. Everyone who is either curious or patie... | Susan is calm. | neutral | ((?[X]:(wise(X)))=>(?[X]:((tall(X)|curious(X)))))&
((?[X]:((~quiet(X)|~brave(X))))<=>(?[X]:(happy(X))))&
(![X]:((~wise(X)<~>~creative(X))<=>(curious(X)|~humble(X))))&
((?[X]:((generous(X)<~>~happy(X))))=>(?[X]:(kind(X))))&
(![X]:((curious(X)<~>patient(X))<=>curious(X)))&
(![X]:(curious(X)=>~happy(X)))&
(![X]:((rich(X)<... | calm(susan) | [] | null | 0 |
If alice is both not funny and not old then someone is either humble or not quiet.
Everyone who is either rich or not generous is not rich or happy and vice versa.
If someone is both brave and not funny then alice is creative and vice versa.
Everyone who is either kind or wise is old.
Everyone who is wise is not wise o... | Mary is calm. | neutral | (((~funny(alice)&~old(alice)))=>(?[X]:((humble(X)<~>~quiet(X)))))&
(![X]:((rich(X)<~>~generous(X))<=>(~rich(X)|happy(X))))&
((?[X]:((brave(X)&~funny(X))))<=>(creative(alice)))&
(![X]:((kind(X)<~>wise(X))=>old(X)))&
(![X]:(wise(X)=>(~wise(X)|patient(X))))&
((?[X]:(~generous(X)))<=>((~generous(susan)<~>old(susan))))&
((?... | calm(mary) | [] | null | 0 |
Everyone who is both not happy and not strong is kind or tall.
Everyone who is both not tall and kind is either not rich or happy and vice versa.
Everyone who is both tall and rich is both not rich and quiet and vice versa.
If paul is generous then someone is not strong or tall and vice versa.
Everyone who is not gener... | Paul is not wise. | neutral | (![X]:((~happy(X)&~strong(X))=>(kind(X)|tall(X))))&
(![X]:((~tall(X)&kind(X))<=>(~rich(X)<~>happy(X))))&
(![X]:((tall(X)&rich(X))<=>(~rich(X)&quiet(X))))&
((generous(paul))<=>(?[X]:((~strong(X)|tall(X)))))&
(![X]:(~generous(X)<=>~calm(X)))&
((strong(alice))=>((~happy(mary)|~tall(mary))))&
(![X]:((~funny(X)|calm(X))=>(~... | ~wise(paul) | [] | null | 0 |
Everyone who is both generous and not rich is both not tall and not old.
Everyone who is not quiet is not curious or humble and vice versa.
Everyone who is either patient or not patient is both rich and wise and vice versa.
Everyone who is either not strong or not rich is not kind or not funny and vice versa.
If someon... | Susan is not calm. | entailment | (![X]:((generous(X)&~rich(X))=>(~tall(X)&~old(X))))&
(![X]:(~quiet(X)<=>(~curious(X)|humble(X))))&
(![X]:((patient(X)<~>~patient(X))<=>(rich(X)&wise(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>(~kind(X)|~funny(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((patient(X)<~>~wise(X)))))&
(![X]:((wise(X)&calm(X))<=>(old(X)<~>~patient(X))))... | ~calm(susan) | [
"p2",
"p3",
"p5",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6303359759926624519544547
% SZS output start Proof for 6303359759926624519544547
3. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (wise(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> (~funny(X0) | ~kind(X0))) [input p3]
6. ! [X0] : ((calm(X0) & wise(X0)) <=> (old(... | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or wise.
Everyone who is rich is either creative or not calm and vice versa.
If someone is either curious or creative then susan is either calm or creative.
If mary is generous then someone is not... | Mary is not calm. | entailment | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:(rich(X)<=>(creative(X)<~>~calm(X))))&
((?[X]:((curious(X)<~>creative(X))))=>((calm(susan)<~>creative(susan))))&
((generous(mary))<=>(?[X]:((~brave(X)|~patient(X)))))&
(![X]:((~wise(X)<~>~happy(X))<=>(kind(X)... | ~calm(mary) | [
"p0",
"p2",
"p6",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6085464391116078885305531
% SZS output start Proof for 6085464391116078885305531
1. ! [X0] : ((kind(X0) & ~curious(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : (rich(X0) <=> (creative(X0) <~> ~calm(X0))) [input p2]
7. ! [X0] : ((~tall(X0) <~> ~calm(X0)) => ~rich(X0)) [input p6]
9. ! [X0] : ... | 0 |
Everyone who is both not humble and not old is not patient or quiet and vice versa.
If alice is both not strong and not quiet then someone is either not brave or not strong and vice versa.
Everyone who is both happy and kind is both not wise and not old and vice versa.
Everyone who is either kind or not rich is happy.
... | Alice is not funny. | neutral | (![X]:((~humble(X)&~old(X))<=>(~patient(X)|quiet(X))))&
(((~strong(alice)&~quiet(alice)))<=>(?[X]:((~brave(X)<~>~strong(X)))))&
(![X]:((happy(X)&kind(X))<=>(~wise(X)&~old(X))))&
(![X]:((kind(X)<~>~rich(X))=>happy(X)))&
(![X]:(curious(X)=>(old(X)|~funny(X))))&
(![X]:((~funny(X)<~>brave(X))<=>(~humble(X)<~>~tall(X))))&
(... | ~funny(alice) | [] | null | 0 |
Everyone who is not strong or funny is tall and vice versa.
If alice is both not calm and not patient then someone is either not patient or quiet.
If alice is either not patient or kind then someone is either patient or generous.
Everyone who is either tall or happy is not rich or not tall and vice versa.
Everyone who ... | Susan is old. | neutral | (![X]:((~strong(X)|funny(X))<=>tall(X)))&
(((~calm(alice)&~patient(alice)))=>(?[X]:((~patient(X)<~>quiet(X)))))&
(((~patient(alice)<~>kind(alice)))=>(?[X]:((patient(X)<~>generous(X)))))&
(![X]:((tall(X)<~>happy(X))<=>(~rich(X)|~tall(X))))&
(![X]:((old(X)&~quiet(X))<=>(creative(X)<~>generous(X))))&
(![X]:((~tall(X)&old(... | old(susan) | [] | null | 0 |
Everyone who is either old or curious is calm or creative.
Everyone who is both not tall and old is either funny or not calm and vice versa.
Everyone who is either not quiet or not calm is patient and vice versa.
Everyone who is both generous and not curious is not curious or patient and vice versa.
Everyone who is not... | Mary is kind. | contradiction | (![X]:((old(X)<~>curious(X))=>(calm(X)|creative(X))))&
(![X]:((~tall(X)&old(X))<=>(funny(X)<~>~calm(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>patient(X)))&
(![X]:((generous(X)&~curious(X))<=>(~curious(X)|patient(X))))&
(![X]:((~tall(X)|creative(X))<=>(~funny(X)<~>kind(X))))&
((?[X]:(~rich(X)))<=>((creative(paul)&quiet(pau... | kind(mary) | [
"p1",
"p4",
"p8",
"p11",
"p12",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3699402622498916877955556
% SZS output start Proof for 3699402622498916877955556
2. ! [X0] : ((old(X0) & ~tall(X0)) <=> (funny(X0) <~> ~calm(X0))) [input p1]
5. ! [X0] : ((creative(X0) | ~tall(X0)) <=> (~funny(X0) <~> kind(X0))) [input p4]
9. ! [X0] : ((happy(X0) | ~wise(X0)) <=> (humble(... | 0 |
Everyone who is brave or not tall is patient or not humble.
If someone is both not calm and happy then lucy is either calm or tall and vice versa.
If fred is both not funny and curious then alice is both rich and strong and vice versa.
Everyone who is either not quiet or not generous is both quiet and patient and vice ... | Lucy is not curious. | contradiction | (![X]:((brave(X)|~tall(X))=>(patient(X)|~humble(X))))&
((?[X]:((~calm(X)&happy(X))))<=>((calm(lucy)<~>tall(lucy))))&
(((~funny(fred)&curious(fred)))<=>((rich(alice)&strong(alice))))&
(![X]:((~quiet(X)<~>~generous(X))<=>(quiet(X)&patient(X))))&
(((~funny(john)|patient(john)))=>(?[X]:((quiet(X)&rich(X)))))&
(((brave(alic... | ~curious(lucy) | [
"p3",
"p5",
"p7",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 529332897696641548232268
% SZS output start Proof for 529332897696641548232268
4. ! [X0] : ((~quiet(X0) <~> ~generous(X0)) <=> (patient(X0) & quiet(X0))) [input p3]
6. (generous(alice) & brave(alice)) <=> ? [X0] : (~calm(X0) <~> curious(X0)) [input p5]
8. ! [X0] : ((old(X0) <~> patient(X0... | 0 |
Everyone who is both calm and not tall is both not curious and old. If someone is not kind or quiet then someone is not patient. Everyone who is either not funny or not creative is both not happy and tall. Everyone who is not kind is not old or humble. Everyone who is not kind or generous is both kind and old. If fred ... | Lucy is tall. | neutral | (![X]:((calm(X)&~tall(X))=>(~curious(X)&old(X))))&
((?[X]:((~kind(X)|quiet(X))))=>(?[X]:(~patient(X))))&
(![X]:((~funny(X)<~>~creative(X))=>(~happy(X)&tall(X))))&
(![X]:(~kind(X)=>(~old(X)|humble(X))))&
(![X]:((~kind(X)|generous(X))=>(kind(X)&old(X))))&
(((~wise(fred)&~curious(fred)))=>((kind(susan)&~curious(susan))))&... | tall(lucy) | [] | null | 0 |
Everyone who is not creative is either creative or calm and vice versa.
If someone is not funny or wise then someone is either not creative or not old and vice versa.
If fred is either rich or not old then mary is not kind.
Everyone who is generous or tall is humble or not funny.
If someone is brave then someone is bot... | John is not creative. | neutral | (![X]:(~creative(X)<=>(creative(X)<~>calm(X))))&
((?[X]:((~funny(X)|wise(X))))<=>(?[X]:((~creative(X)<~>~old(X)))))&
(((rich(fred)<~>~old(fred)))=>(~kind(mary)))&
(![X]:((generous(X)|tall(X))=>(humble(X)|~funny(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~generous(X)&generous(X)))))&
(![X]:((~humble(X)&funny(X))=>(tall(X)<~>fu... | ~creative(john) | [] | null | 0 |
Everyone who is happy or generous is either happy or not tall. If susan is either tall or not humble then someone is either not patient or not curious and vice versa. Everyone who is wise is both not funny and tall and vice versa. If alice is not happy then fred is both not rich and tall. If fred is either not patient ... | John is not wise. | neutral | (![X]:((happy(X)|generous(X))=>(happy(X)<~>~tall(X))))&
(((tall(susan)<~>~humble(susan)))<=>(?[X]:((~patient(X)<~>~curious(X)))))&
(![X]:(wise(X)<=>(~funny(X)&tall(X))))&
((~happy(alice))=>((~rich(fred)&tall(fred))))&
(((~patient(fred)<~>rich(fred)))=>((~strong(alice)<~>~brave(alice))))&
((?[X]:((~happy(X)<~>brave(X)))... | ~wise(john) | [] | null | 0 |
If someone is not tall or not creative then someone is not happy or patient and vice versa.
Everyone who is not strong or brave is both not calm and patient.
Everyone who is either not humble or not kind is either strong or humble and vice versa.
If alice is both not kind and old then fred is not wise or happy and vice... | John is not brave. | entailment | ((?[X]:((~tall(X)|~creative(X))))<=>(?[X]:((~happy(X)|patient(X)))))&
(![X]:((~strong(X)|brave(X))=>(~calm(X)&patient(X))))&
(![X]:((~humble(X)<~>~kind(X))<=>(strong(X)<~>humble(X))))&
(((~kind(alice)&old(alice)))<=>((~wise(fred)|happy(fred))))&
(![X]:((generous(X)<~>strong(X))<=>(~calm(X)&~tall(X))))&
(((~generous(ali... | ~brave(john) | [
"p1",
"p2",
"p4",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2972086567689657095511475
% SZS output start Proof for 2972086567689657095511475
2. ! [X0] : ((brave(X0) | ~strong(X0)) => (patient(X0) & ~calm(X0))) [input p1]
3. ! [X0] : ((~humble(X0) <~> ~kind(X0)) <=> (strong(X0) <~> humble(X0))) [input p2]
5. ! [X0] : ((generous(X0) <~> strong(X0)) ... | 0 |
If alice is strong then someone is both wise and quiet. If john is creative then someone is both wise and quiet and vice versa. If someone is both happy and old then someone is wise and vice versa. Everyone who is generous is either old or not calm and vice versa. Everyone who is not old is both quiet and strong. If so... | Alice is not happy. | contradiction | ((strong(alice))=>(?[X]:((wise(X)&quiet(X)))))&
((creative(john))<=>(?[X]:((wise(X)&quiet(X)))))&
((?[X]:((happy(X)&old(X))))<=>(?[X]:(wise(X))))&
(![X]:(generous(X)<=>(old(X)<~>~calm(X))))&
(![X]:(~old(X)=>(quiet(X)&strong(X))))&
((?[X]:((rich(X)<~>kind(X))))=>((kind(john)<~>wise(john))))&
(![X]:((patient(X)|~happy(X)... | ~happy(alice) | [
"p4",
"p8",
"p10",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4739041499686724624393094
% SZS output start Proof for 4739041499686724624393094
5. ! [X0] : (~old(X0) => (strong(X0) & quiet(X0))) [input p4]
9. ! [X0] : ((creative(X0) | rich(X0)) => happy(X0)) [input p8]
11. ! [X0] : ((rich(X0) | brave(X0)) => ~quiet(X0)) [input p10]
14. ! [X0] : ((cur... | 0 |
If someone is either creative or old then someone is either not calm or not brave.
Everyone who is both not creative and creative is both wise and not tall and vice versa.
Everyone who is quiet is either happy or not tall.
If someone is both generous and brave then someone is either tall or generous and vice versa.
Eve... | Alice is tall. | contradiction | ((?[X]:((creative(X)<~>old(X))))=>(?[X]:((~calm(X)<~>~brave(X)))))&
(![X]:((~creative(X)&creative(X))<=>(wise(X)&~tall(X))))&
(![X]:(quiet(X)=>(happy(X)<~>~tall(X))))&
((?[X]:((generous(X)&brave(X))))<=>(?[X]:((tall(X)<~>generous(X)))))&
(![X]:((tall(X)<~>~curious(X))=>(~tall(X)&patient(X))))&
(![X]:(patient(X)<=>(~ric... | tall(alice) | [
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 450945990934108875455352
% SZS output start Proof for 450945990934108875455352
5. ! [X0] : ((tall(X0) <~> ~curious(X0)) => (patient(X0) & ~tall(X0))) [input p4]
15. ? [X0] : (tall(X0) & ~curious(X0)) <=> (old(mary) & ~old(mary)) [input p14]
22. tall(alice) [input hypothesis]
29. ! [X0] : ... | 0 |
Everyone who is tall or rich is either kind or not quiet.
Everyone who is either rich or not patient is both patient and not rich and vice versa.
Everyone who is both curious and not happy is either happy or strong and vice versa.
If susan is either tall or humble then paul is either brave or not tall and vice versa.
E... | Alice is calm. | entailment | (![X]:((tall(X)|rich(X))=>(kind(X)<~>~quiet(X))))&
(![X]:((rich(X)<~>~patient(X))<=>(patient(X)&~rich(X))))&
(![X]:((curious(X)&~happy(X))<=>(happy(X)<~>strong(X))))&
(((tall(susan)<~>humble(susan)))<=>((brave(paul)<~>~tall(paul))))&
(![X]:(old(X)=>(~tall(X)|happy(X))))&
(![X]:((~calm(X)|~rich(X))<=>~curious(X)))&
(((~... | calm(alice) | [
"p1",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1621778264233069755389238
% SZS output start Proof for 1621778264233069755389238
2. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> (~rich(X0) & patient(X0))) [input p1]
9. ? [X0] : (~humble(X0) & curious(X0)) <=> ? [X0] : (~calm(X0) <~> ~rich(X0)) [input p8]
12. (patient(paul) & ~happy(paul)) ... | 0 |
Everyone who is rich or not wise is both kind and not curious.
If lucy is both not kind and tall then john is not humble and vice versa.
Everyone who is either quiet or not rich is not curious or brave and vice versa.
Everyone who is not creative is either brave or not rich and vice versa.
Everyone who is old is not ri... | Alice is creative. | neutral | (![X]:((rich(X)|~wise(X))=>(kind(X)&~curious(X))))&
(((~kind(lucy)&tall(lucy)))<=>(~humble(john)))&
(![X]:((quiet(X)<~>~rich(X))<=>(~curious(X)|brave(X))))&
(![X]:(~creative(X)<=>(brave(X)<~>~rich(X))))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patient(X)&rich(X))<=>(creat... | creative(alice) | [] | null | 0 |
If someone is not funny then mary is either not patient or rich.
Everyone who is funny is either rich or not brave.
If john is either not curious or generous then someone is generous.
Everyone who is humble or strong is either strong or not wise.
Everyone who is either calm or brave is not calm.
If mary is generous or ... | Mary is strong. | neutral | ((?[X]:(~funny(X)))=>((~patient(mary)<~>rich(mary))))&
(![X]:(funny(X)=>(rich(X)<~>~brave(X))))&
(((~curious(john)<~>generous(john)))=>(?[X]:(generous(X))))&
(![X]:((humble(X)|strong(X))=>(strong(X)<~>~wise(X))))&
(![X]:((calm(X)<~>brave(X))=>~calm(X)))&
(((generous(mary)|~old(mary)))=>(?[X]:((rich(X)<~>~creative(X))))... | strong(mary) | [] | null | 0 |
If alice is tall or not creative then someone is not tall and vice versa.
Everyone who is patient or not creative is old or not old and vice versa.
Everyone who is both not brave and calm is not tall or not curious.
Everyone who is quiet is patient and vice versa.
If someone is not strong or not funny then someone is o... | Susan is not creative. | neutral | (((tall(alice)|~creative(alice)))<=>(?[X]:(~tall(X))))&
(![X]:((patient(X)|~creative(X))<=>(old(X)|~old(X))))&
(![X]:((~brave(X)&calm(X))=>(~tall(X)|~curious(X))))&
(![X]:(quiet(X)<=>patient(X)))&
((?[X]:((~strong(X)|~funny(X))))<=>(?[X]:(old(X))))&
(![X]:(~happy(X)=>creative(X)))&
(![X]:(generous(X)=>(brave(X)|~wise(X... | ~creative(susan) | [] | null | 0 |
If susan is either not wise or not strong then someone is both not patient and rich and vice versa. If someone is curious then susan is not brave or rich and vice versa. If alice is kind then someone is not strong or not curious and vice versa. Everyone who is both brave and not strong is patient or not quiet and vice ... | Paul is not strong. | contradiction | (((~wise(susan)<~>~strong(susan)))<=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:(curious(X)))<=>((~brave(susan)|rich(susan))))&
((kind(alice))<=>(?[X]:((~strong(X)|~curious(X)))))&
(![X]:((brave(X)&~strong(X))<=>(patient(X)|~quiet(X))))&
(((funny(mary)&~tall(mary)))<=>(patient(mary)))&
(((~quiet(paul)&~rich(paul)))<=>(?[X... | ~strong(paul) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 51571651707471554957562
% SZS output start Proof for 51571651707471554957562
3. kind(alice) <=> ? [X0] : (~curious(X0) | ~strong(X0)) [input p2]
8. ! [X0] : ((~rich(X0) | rich(X0)) => ~kind(X0)) [input p7]
23. ~strong(paul) [input hypothesis]
25. ! [X0] : (~kind(X0) | (rich(X0) & ~rich(X0... | 0 |
If susan is not brave or not humble then susan is curious or not tall and vice versa.
If someone is both not creative and not rich then someone is both old and not tall.
Everyone who is not strong is brave and vice versa.
Everyone who is either wise or funny is either not strong or creative and vice versa.
Everyone who... | Mary is generous. | entailment | (((~brave(susan)|~humble(susan)))<=>((curious(susan)|~tall(susan))))&
((?[X]:((~creative(X)&~rich(X))))=>(?[X]:((old(X)&~tall(X)))))&
(![X]:(~strong(X)<=>brave(X)))&
(![X]:((wise(X)<~>funny(X))<=>(~strong(X)<~>creative(X))))&
(![X]:((~rich(X)&wise(X))=>(~tall(X)&old(X))))&
(![X]:(~tall(X)<=>(rich(X)<~>~calm(X))))&
((?[... | generous(mary) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6280781733691016079294320
% SZS output start Proof for 6280781733691016079294320
9. ! [X0] : (~curious(X0) <=> (calm(X0) | ~generous(X0))) [input p8]
10. ! [X0] : (generous(X0) <=> (~curious(X0) | old(X0))) [input p9]
25. ~generous(mary) [input hypothesis]
55. ! [X0] : ((~curious(X0) | (~... | 0 |
If fred is not old then john is not patient or calm.
Everyone who is kind is not humble or not wise.
If someone is not generous then someone is not curious or not rich.
If lucy is generous then someone is not calm and vice versa.
If lucy is both not strong and wise then someone is either not funny or strong and vice ve... | Mary is not kind. | entailment | ((~old(fred))=>((~patient(john)|calm(john))))&
(![X]:(kind(X)=>(~humble(X)|~wise(X))))&
((?[X]:(~generous(X)))=>(?[X]:((~curious(X)|~rich(X)))))&
((generous(lucy))<=>(?[X]:(~calm(X))))&
(((~strong(lucy)&wise(lucy)))<=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((humble(X)&~strong(X))<=>(patient(X)|quiet(X))))&
(((~funny(... | ~kind(mary) | [
"p1",
"p5",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3907072214048752188583993
% SZS output start Proof for 3907072214048752188583993
2. ! [X0] : (kind(X0) => (~wise(X0) | ~humble(X0))) [input p1]
6. ! [X0] : ((~strong(X0) & humble(X0)) <=> (quiet(X0) | patient(X0))) [input p5]
17. ~tall(mary) & wise(mary) [input p16]
24. patient(mary) [inp... | 0 |
Everyone who is both wise and generous is both not patient and not strong and vice versa.
If someone is either not brave or not patient then paul is not funny or not quiet.
Everyone who is both not happy and curious is patient and vice versa.
If mary is tall then someone is either not kind or not generous and vice vers... | Paul is wise. | entailment | (![X]:((wise(X)&generous(X))<=>(~patient(X)&~strong(X))))&
((?[X]:((~brave(X)<~>~patient(X))))=>((~funny(paul)|~quiet(paul))))&
(![X]:((~happy(X)&curious(X))<=>patient(X)))&
((tall(mary))<=>(?[X]:((~kind(X)<~>~generous(X)))))&
(((~generous(mary)|~patient(mary)))<=>(?[X]:((patient(X)|~humble(X)))))&
(![X]:((brave(X)&~ri... | wise(paul) | [
"p2",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 809812275169214061489728
% SZS output start Proof for 809812275169214061489728
3. ! [X0] : ((curious(X0) & ~happy(X0)) <=> patient(X0)) [input p2]
9. ! [X0] : (~kind(X0) <=> ~patient(X0)) [input p8]
11. ! [X0] : ((curious(X0) & ~happy(X0)) <=> happy(X0)) [input p10]
13. wise(paul) <=> ? [... | 0 |
Everyone who is both not funny and not calm is not creative or funny.
If alice is either not quiet or not wise then john is both wise and curious.
If someone is not old or not wise then someone is not kind and vice versa.
Everyone who is either not humble or wise is not brave and vice versa.
Everyone who is both not ol... | Susan is strong. | entailment | (![X]:((~funny(X)&~calm(X))=>(~creative(X)|funny(X))))&
(((~quiet(alice)<~>~wise(alice)))=>((wise(john)&curious(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)<~>wise(X))<=>~brave(X)))&
(![X]:((~old(X)&~happy(X))<=>(~strong(X)&curious(X))))&
(![X]:(~generous(X)=>(~curious(X)<~>humble(X))... | strong(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2059694033912038187359511
% SZS output start Proof for 2059694033912038187359511
13. ! [X0] : ((~strong(X0) | creative(X0)) <=> (strong(X0) & ~calm(X0))) [input p12]
23. ~strong(susan) [input hypothesis]
57. ! [X0] : (((~strong(X0) | creative(X0)) | (~strong(X0) | calm(X0))) & ((strong(X0... | 0 |
Everyone who is curious or not patient is generous or not wise. If someone is both quiet and tall then john is either not humble or not funny. Everyone who is either calm or brave is not wise. If john is brave then someone is not strong. Everyone who is either brave or not generous is not generous or not brave and vice... | Lucy is not patient. | entailment | (![X]:((curious(X)|~patient(X))=>(generous(X)|~wise(X))))&
((?[X]:((quiet(X)&tall(X))))=>((~humble(john)<~>~funny(john))))&
(![X]:((calm(X)<~>brave(X))=>~wise(X)))&
((brave(john))=>(?[X]:(~strong(X))))&
(![X]:((brave(X)<~>~generous(X))<=>(~generous(X)|~brave(X))))&
(((old(mary)&~generous(mary)))<=>(?[X]:((happy(X)&old(... | ~patient(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2585975368690695983149795
% SZS output start Proof for 2585975368690695983149795
23. ~patient(lucy) [input p22]
25. patient(lucy) [input hypothesis]
138. ~patient(lucy) [cnf transformation 23]
141. patient(lucy) [cnf transformation 25]
344. $false [subsumption resolution 141,138]
% SZS ou... | 0 |
Everyone who is not funny is both tall and not brave.
Everyone who is either wise or creative is both not old and funny.
Everyone who is not patient or brave is either not brave or generous.
Everyone who is both tall and calm is either strong or not strong and vice versa.
If someone is both not happy and not old then s... | Lucy is calm. | entailment | (![X]:(~funny(X)=>(tall(X)&~brave(X))))&
(![X]:((wise(X)<~>creative(X))=>(~old(X)&funny(X))))&
(![X]:((~patient(X)|brave(X))=>(~brave(X)<~>generous(X))))&
(![X]:((tall(X)&calm(X))<=>(strong(X)<~>~strong(X))))&
((?[X]:((~happy(X)&~old(X))))=>((~calm(susan)<~>wise(susan))))&
(![X]:((~curious(X)<~>rich(X))<=>(~brave(X)|ki... | calm(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5965528547069859355940763
% SZS output start Proof for 5965528547069859355940763
4. ! [X0] : ((calm(X0) & tall(X0)) <=> (strong(X0) <~> ~strong(X0))) [input p3]
23. ~calm(lucy) [input hypothesis]
37. ! [X0] : (((calm(X0) & tall(X0)) | ((strong(X0) | strong(X0)) & (~strong(X0) | ~strong(X0... | 0 |
If someone is either kind or not quiet then someone is generous or creative and vice versa.
Everyone who is both kind and generous is both not calm and not tall.
Everyone who is quiet or wise is either not humble or rich and vice versa.
If susan is not generous or not wise then someone is not kind or creative and vice ... | Fred is not kind. | entailment | ((?[X]:((kind(X)<~>~quiet(X))))<=>(?[X]:((generous(X)|creative(X)))))&
(![X]:((kind(X)&generous(X))=>(~calm(X)&~tall(X))))&
(![X]:((quiet(X)|wise(X))<=>(~humble(X)<~>rich(X))))&
(((~generous(susan)|~wise(susan)))<=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:((~tall(X)|strong(X))<=>(tall(X)&humble(X))))&
(![X]:((creative(X... | ~kind(fred) | [
"p4",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4533443491932728338609369
% SZS output start Proof for 4533443491932728338609369
5. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (humble(X0) & tall(X0))) [input p4]
8. ! [X0] : ((humble(X0) | brave(X0)) <=> (~quiet(X0) <~> humble(X0))) [input p7]
12. ! [X0] : ((quiet(X0) | brave(X0)) => (~tall(... | 0 |
If alice is both not wise and not funny then someone is both not funny and rich and vice versa.
If mary is both not humble and not funny then someone is not quiet or happy and vice versa.
If someone is strong then fred is both creative and not patient and vice versa.
If alice is either quiet or creative then someone is... | Alice is quiet. | entailment | (((~wise(alice)&~funny(alice)))<=>(?[X]:((~funny(X)&rich(X)))))&
(((~humble(mary)&~funny(mary)))<=>(?[X]:((~quiet(X)|happy(X)))))&
((?[X]:(strong(X)))<=>((creative(fred)&~patient(fred))))&
(((quiet(alice)<~>creative(alice)))=>(?[X]:((~rich(X)&~happy(X)))))&
(![X]:(~funny(X)=>(generous(X)|brave(X))))&
((?[X]:((~funny(X)... | quiet(alice) | [
"p1",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 374240633681029153987069
% SZS output start Proof for 374240633681029153987069
2. (~funny(mary) & ~humble(mary)) <=> ? [X0] : (happy(X0) | ~quiet(X0)) [input p1]
11. ! [X0] : ((~old(X0) | calm(X0)) => (~kind(X0) <~> old(X0))) [input p10]
13. ! [X0] : ((kind(X0) & ~calm(X0)) <=> (~patient(... | 0 |
If someone is both not tall and strong then someone is either strong or funny.
Everyone who is not brave or funny is either not curious or not kind and vice versa.
If paul is wise then someone is not rich and vice versa.
Everyone who is both not calm and not patient is not generous or not strong and vice versa.
Everyon... | Alice is not happy. | entailment | ((?[X]:((~tall(X)&strong(X))))=>(?[X]:((strong(X)<~>funny(X)))))&
(![X]:((~brave(X)|funny(X))<=>(~curious(X)<~>~kind(X))))&
((wise(paul))<=>(?[X]:(~rich(X))))&
(![X]:((~calm(X)&~patient(X))<=>(~generous(X)|~strong(X))))&
(![X]:((~kind(X)<~>~generous(X))<=>(~creative(X)<~>curious(X))))&
(![X]:(wise(X)=>(creative(X)<~>pa... | ~happy(alice) | [
"p3",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2638345446651128682611088
% SZS output start Proof for 2638345446651128682611088
4. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> (~strong(X0) | ~generous(X0))) [input p3]
9. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> (strong(X0) & creative(X0))) [input p8]
10. (~calm(john) | funny(john)) => (~... | 0 |
Everyone who is either strong or wise is either not generous or not creative and vice versa.
If alice is both kind and old then someone is not calm.
Everyone who is patient or not happy is not brave and vice versa.
Everyone who is both humble and not wise is both wise and humble and vice versa.
Everyone who is quiet or... | John is not calm. | entailment | (![X]:((strong(X)<~>wise(X))<=>(~generous(X)<~>~creative(X))))&
(((kind(alice)&old(alice)))=>(?[X]:(~calm(X))))&
(![X]:((patient(X)|~happy(X))<=>~brave(X)))&
(![X]:((humble(X)&~wise(X))<=>(wise(X)&humble(X))))&
(![X]:((quiet(X)|creative(X))=>(funny(X)&humble(X))))&
(((~humble(susan)|old(susan)))<=>(?[X]:(~quiet(X))))&
... | ~calm(john) | [
"p3",
"p4",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2362720307333942582139449
% SZS output start Proof for 2362720307333942582139449
4. ! [X0] : ((~wise(X0) & humble(X0)) <=> (humble(X0) & wise(X0))) [input p3]
5. ! [X0] : ((creative(X0) | quiet(X0)) => (humble(X0) & funny(X0))) [input p4]
14. ? [X0] : (~funny(X0) | ~tall(X0)) => ? [X0] : ... | 0 |
Everyone who is both not kind and wise is happy or not strong and vice versa.
Everyone who is both not calm and not wise is both not old and old and vice versa.
If lucy is happy then someone is strong or not kind.
If someone is both not brave and strong then susan is not happy or tall and vice versa.
If someone is eith... | Mary is not calm. | entailment | (![X]:((~kind(X)&wise(X))<=>(happy(X)|~strong(X))))&
(![X]:((~calm(X)&~wise(X))<=>(~old(X)&old(X))))&
((happy(lucy))=>(?[X]:((strong(X)|~kind(X)))))&
((?[X]:((~brave(X)&strong(X))))<=>((~happy(susan)|tall(susan))))&
((?[X]:((curious(X)<~>brave(X))))=>(?[X]:((~happy(X)|~curious(X)))))&
((?[X]:((~tall(X)<~>~kind(X))))<=>... | ~calm(mary) | [
"p0",
"p7",
"p8",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5067178460052588175498138
% SZS output start Proof for 5067178460052588175498138
1. ! [X0] : ((wise(X0) & ~kind(X0)) <=> (~strong(X0) | happy(X0))) [input p0]
8. ! [X0] : (rich(X0) => (old(X0) <~> ~calm(X0))) [input p7]
9. ! [X0] : ((happy(X0) & strong(X0)) <=> (curious(X0) <~> ~strong(X0... | 0 |
If someone is old then mary is quiet or not calm.
If someone is not wise then someone is not patient or not generous.
Everyone who is both not patient and not calm is old.
If fred is not curious then someone is not tall and vice versa.
If someone is either not kind or funny then someone is both not generous and not str... | Susan is rich. | entailment | ((?[X]:(old(X)))=>((quiet(mary)|~calm(mary))))&
((?[X]:(~wise(X)))=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((~patient(X)&~calm(X))=>old(X)))&
((~curious(fred))<=>(?[X]:(~tall(X))))&
((?[X]:((~kind(X)<~>funny(X))))<=>(?[X]:((~generous(X)&~strong(X)))))&
(((tall(john)|~generous(john)))<=>((tall(alice)&~humble(alice)... | rich(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7674370908451723006829414
% SZS output start Proof for 7674370908451723006829414
17. tall(susan) & rich(susan) [input p16]
25. ~rich(susan) [input hypothesis]
134. rich(susan) [cnf transformation 17]
145. ~rich(susan) [cnf transformation 25]
371. $false [subsumption resolution 145,134]
% ... | 0 |
Everyone who is calm is quiet or not creative and vice versa.
Everyone who is not humble is both funny and rich.
If someone is either humble or not curious then alice is both not humble and not curious and vice versa.
If someone is both not humble and not kind then john is not old or rich and vice versa.
Everyone who i... | John is not generous. | contradiction | (![X]:(calm(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~humble(X)=>(funny(X)&rich(X))))&
((?[X]:((humble(X)<~>~curious(X))))<=>((~humble(alice)&~curious(alice))))&
((?[X]:((~humble(X)&~kind(X))))<=>((~old(john)|rich(john))))&
(![X]:(rich(X)=>(wise(X)|~patient(X))))&
(![X]:((patient(X)<~>~patient(X))<=>(~generous(X)|~wise(X... | ~generous(john) | [
"p1",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 432840253880112059946050
% SZS output start Proof for 432840253880112059946050
2. ! [X0] : (~humble(X0) => (rich(X0) & funny(X0))) [input p1]
10. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> (rich(X0) | happy(X0))) [input p9]
14. ! [X0] : ((humble(X0) | ~quiet(X0)) => (~tall(X0) & creative(X0)))... | 0 |
Everyone who is either curious or old is not kind. If fred is both not old and wise then someone is not quiet and vice versa. Everyone who is patient or not quiet is both not generous and not rich and vice versa. Everyone who is not strong is both not happy and happy and vice versa. Everyone who is tall or wise is not ... | Lucy is strong. | entailment | (![X]:((curious(X)<~>old(X))=>~kind(X)))&
(((~old(fred)&wise(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:((patient(X)|~quiet(X))<=>(~generous(X)&~rich(X))))&
(![X]:(~strong(X)<=>(~happy(X)&happy(X))))&
(![X]:((tall(X)|wise(X))=>(~quiet(X)|quiet(X))))&
(![X]:((~strong(X)|rich(X))<=>(happy(X)&funny(X))))&
(![X]:(patient(X)<=>(r... | strong(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7438212293961364609641816
% SZS output start Proof for 7438212293961364609641816
4. ! [X0] : (~strong(X0) <=> (happy(X0) & ~happy(X0))) [input p3]
24. ~strong(lucy) [input hypothesis]
38. ! [X0] : ((~strong(X0) | (~happy(X0) | happy(X0))) & ((happy(X0) & ~happy(X0)) | strong(X0))) [nnf tr... | 0 |
Everyone who is quiet or not patient is wise or not humble and vice versa. If susan is either not generous or kind then someone is either humble or not tall. Everyone who is either brave or not tall is either not quiet or not patient. Everyone who is not happy or happy is either not tall or creative. Everyone who is ei... | Fred is not patient. | entailment | (![X]:((quiet(X)|~patient(X))<=>(wise(X)|~humble(X))))&
(((~generous(susan)<~>kind(susan)))=>(?[X]:((humble(X)<~>~tall(X)))))&
(![X]:((brave(X)<~>~tall(X))=>(~quiet(X)<~>~patient(X))))&
(![X]:((~happy(X)|happy(X))=>(~tall(X)<~>creative(X))))&
(![X]:((tall(X)<~>humble(X))<=>curious(X)))&
(((~rich(mary)&brave(mary)))=>((... | ~patient(fred) | [
"p0",
"p2",
"p10",
"p11",
"p13",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1584110803941231217963958
% SZS output start Proof for 1584110803941231217963958
1. ! [X0] : ((~patient(X0) | quiet(X0)) <=> (~humble(X0) | wise(X0))) [input p0]
3. ! [X0] : ((brave(X0) <~> ~tall(X0)) => (~quiet(X0) <~> ~patient(X0))) [input p2]
11. ! [X0] : ((calm(X0) | ~tall(X0)) => wis... | 0 |
Everyone who is either wise or not creative is quiet.
If alice is both patient and brave then john is not generous or funny.
Everyone who is rich or humble is either strong or creative.
Everyone who is both not quiet and not tall is both generous and not humble and vice versa.
If someone is both not old and not funny t... | Paul is funny. | neutral | (![X]:((wise(X)<~>~creative(X))=>quiet(X)))&
(((patient(alice)&brave(alice)))=>((~generous(john)|funny(john))))&
(![X]:((rich(X)|humble(X))=>(strong(X)<~>creative(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(generous(X)&~humble(X))))&
((?[X]:((~old(X)&~funny(X))))<=>((~curious(paul)|quiet(paul))))&
(![X]:((calm(X)&brave(X))<=... | funny(paul) | [] | null | 0 |
If alice is curious then someone is not curious and vice versa. Everyone who is curious is not wise or happy. Everyone who is either not quiet or rich is both rich and happy. Everyone who is either not curious or not calm is brave and vice versa. Everyone who is not rich is either curious or happy. Everyone who is not ... | Susan is not generous. | neutral | ((curious(alice))<=>(?[X]:(~curious(X))))&
(![X]:(curious(X)=>(~wise(X)|happy(X))))&
(![X]:((~quiet(X)<~>rich(X))=>(rich(X)&happy(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>brave(X)))&
(![X]:(~rich(X)=>(curious(X)<~>happy(X))))&
(![X]:((~old(X)|kind(X))=>(patient(X)&old(X))))&
((?[X]:(~old(X)))<=>(?[X]:(~tall(X))))&
(((c... | ~generous(susan) | [] | null | 0 |
If someone is not calm then fred is either not brave or not kind. Everyone who is not rich or kind is not tall. If someone is not generous or not rich then paul is either funny or not kind. Everyone who is not wise or patient is either not curious or quiet. Everyone who is brave or old is not brave or funny and vice ve... | Alice is calm. | entailment | ((?[X]:(~calm(X)))=>((~brave(fred)<~>~kind(fred))))&
(![X]:((~rich(X)|kind(X))=>~tall(X)))&
((?[X]:((~generous(X)|~rich(X))))=>((funny(paul)<~>~kind(paul))))&
(![X]:((~wise(X)|patient(X))=>(~curious(X)<~>quiet(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)|funny(X))))&
(![X]:((old(X)&wise(X))<=>~brave(X)))&
((?[X]:((wise... | calm(alice) | [
"p4",
"p10",
"p14",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8569955063429285214500430
% SZS output start Proof for 8569955063429285214500430
5. ! [X0] : ((old(X0) | brave(X0)) <=> (funny(X0) | ~brave(X0))) [input p4]
11. ! [X0] : ((~quiet(X0) | ~curious(X0)) => (~kind(X0) & ~old(X0))) [input p10]
15. ! [X0] : (~kind(X0) => (~calm(X0) <~> quiet(X0)... | 0 |
Everyone who is not old or generous is patient.
If someone is not patient then fred is not brave and vice versa.
If someone is both not brave and quiet then someone is both not generous and quiet.
Everyone who is not calm or strong is either not patient or not quiet and vice versa.
If someone is kind then someone is no... | Fred is patient. | entailment | (![X]:((~old(X)|generous(X))=>patient(X)))&
((?[X]:(~patient(X)))<=>(~brave(fred)))&
((?[X]:((~brave(X)&quiet(X))))=>(?[X]:((~generous(X)&quiet(X)))))&
(![X]:((~calm(X)|strong(X))<=>(~patient(X)<~>~quiet(X))))&
((?[X]:(kind(X)))=>(?[X]:((~quiet(X)|curious(X)))))&
(((~humble(susan)<~>funny(susan)))<=>(?[X]:((~funny(X)<~... | patient(fred) | [
"p1",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 418469391578814985869128
% SZS output start Proof for 418469391578814985869128
2. ? [X0] : ~patient(X0) <=> ~brave(fred) [input p1]
12. ! [X0] : ((funny(X0) & calm(X0)) <=> (brave(X0) | ~calm(X0))) [input p11]
15. ! [X0] : ((rich(X0) & brave(X0)) <=> (kind(X0) <~> ~calm(X0))) [input p14]
... | 0 |
Everyone who is rich is kind or not generous.
If someone is either generous or wise then someone is both not humble and not happy.
Everyone who is either creative or quiet is generous.
If mary is both not tall and not happy then someone is either funny or wise.
If fred is both not quiet and calm then someone is happy o... | Susan is strong. | entailment | (![X]:(rich(X)=>(kind(X)|~generous(X))))&
((?[X]:((generous(X)<~>wise(X))))=>(?[X]:((~humble(X)&~happy(X)))))&
(![X]:((creative(X)<~>quiet(X))=>generous(X)))&
(((~tall(mary)&~happy(mary)))=>(?[X]:((funny(X)<~>wise(X)))))&
(((~quiet(fred)&calm(fred)))=>(?[X]:((happy(X)|~generous(X)))))&
((?[X]:((~wise(X)&~generous(X))))... | strong(susan) | [
"p12",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4144963977229177672850441
% SZS output start Proof for 4144963977229177672850441
13. ? [X0] : generous(X0) <=> (~funny(susan) & ~curious(susan)) [input p12]
17. ? [X0] : (generous(X0) & patient(X0)) [input p16]
18. funny(susan) | strong(susan) [input p17]
25. ~strong(susan) [input hypothe... | 0 |
Everyone who is either not quiet or not funny is either creative or not curious and vice versa.
If someone is either curious or not wise then lucy is both old and generous and vice versa.
If someone is both not calm and not curious then fred is not wise or not creative and vice versa.
If someone is either not kind or h... | Fred is not kind. | entailment | (![X]:((~quiet(X)<~>~funny(X))<=>(creative(X)<~>~curious(X))))&
((?[X]:((curious(X)<~>~wise(X))))<=>((old(lucy)&generous(lucy))))&
((?[X]:((~calm(X)&~curious(X))))<=>((~wise(fred)|~creative(fred))))&
((?[X]:((~kind(X)<~>happy(X))))<=>(brave(john)))&
(![X]:((~calm(X)&~funny(X))<=>~quiet(X)))&
(![X]:((old(X)&~humble(X))<... | ~kind(fred) | [
"p3",
"p6",
"p7",
"p10",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2127212790068486938936514
% SZS output start Proof for 2127212790068486938936514
4. ? [X0] : (~kind(X0) <~> happy(X0)) <=> brave(john) [input p3]
7. ! [X0] : ((kind(X0) | old(X0)) <=> (~curious(X0) <~> patient(X0))) [input p6]
8. ! [X0] : ((~wise(X0) | ~patient(X0)) => ~happy(X0)) [input ... | 0 |
If mary is both creative and not brave then someone is either not tall or humble. If lucy is either not patient or calm then someone is funny and vice versa. Everyone who is creative or quiet is either old or tall and vice versa. Everyone who is both not tall and not calm is generous and vice versa. Everyone who is not... | Fred is not rich. | entailment | (((creative(mary)&~brave(mary)))=>(?[X]:((~tall(X)<~>humble(X)))))&
(((~patient(lucy)<~>calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((creative(X)|quiet(X))<=>(old(X)<~>tall(X))))&
(![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(![X]:(~calm(X)<=>(tall(X)|wise(X))))&
(![X]:((~kind(X)&quiet(X))<=>(~generous(X)|kind(X))))&
(![X]... | ~rich(fred) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 120692003775027447543858
% SZS output start Proof for 120692003775027447543858
4. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> generous(X0)) [input p3]
5. ! [X0] : (~calm(X0) <=> (wise(X0) | tall(X0))) [input p4]
6. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(X0))) [input p5]
7. ... | 0 |
If john is both not brave and tall then paul is either kind or not quiet and vice versa.
Everyone who is not happy is both not strong and quiet and vice versa.
Everyone who is both generous and not quiet is not old and vice versa.
If lucy is not creative then paul is creative or strong.
If paul is quiet or strong then ... | Lucy is creative. | neutral | (((~brave(john)&tall(john)))<=>((kind(paul)<~>~quiet(paul))))&
(![X]:(~happy(X)<=>(~strong(X)&quiet(X))))&
(![X]:((generous(X)&~quiet(X))<=>~old(X)))&
((~creative(lucy))=>((creative(paul)|strong(paul))))&
(((quiet(paul)|strong(paul)))=>(?[X]:((~old(X)|~wise(X)))))&
(![X]:((generous(X)|~wise(X))=>(~curious(X)|~strong(X)... | creative(lucy) | [] | null | 0 |
Everyone who is both humble and not patient is not kind and vice versa. Everyone who is curious is either not curious or not humble and vice versa. Everyone who is not calm or not tall is either quiet or not old. If someone is both strong and not creative then someone is both patient and wise. If someone is calm then s... | Mary is kind. | entailment | (![X]:((humble(X)&~patient(X))<=>~kind(X)))&
(![X]:(curious(X)<=>(~curious(X)<~>~humble(X))))&
(![X]:((~calm(X)|~tall(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((strong(X)&~creative(X))))=>(?[X]:((patient(X)&wise(X)))))&
((?[X]:(calm(X)))=>(?[X]:((~creative(X)<~>calm(X)))))&
((?[X]:(~rich(X)))=>(?[X]:(brave(X))))&
(![X]:(cur... | kind(mary) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4808896193291553586831940
% SZS output start Proof for 4808896193291553586831940
1. ! [X0] : ((~patient(X0) & humble(X0)) <=> ~kind(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> (~curious(X0) <~> ~humble(X0))) [input p1]
25. ~kind(mary) [input hypothesis]
41. ! [X0] : (((~patient(X0) & hum... | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or creative.
Everyone who is not old is not brave and vice versa.
Everyone who is both not old and wise is rich or not old.
If someone is not brave or not patient then fred is old and vice versa.
... | Lucy is old. | neutral | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|creative(X)))))&
(![X]:(~old(X)<=>~brave(X)))&
(![X]:((~old(X)&wise(X))=>(rich(X)|~old(X))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X)... | old(lucy) | [] | null | 0 |
Everyone who is either calm or happy is both patient and not kind and vice versa. Everyone who is patient is brave. Everyone who is calm or old is either not patient or humble and vice versa. Everyone who is curious is not rich. Everyone who is both tall and not humble is not rich and vice versa. If someone is rich or ... | Paul is not humble. | contradiction | (![X]:((calm(X)<~>happy(X))<=>(patient(X)&~kind(X))))&
(![X]:(patient(X)=>brave(X)))&
(![X]:((calm(X)|old(X))<=>(~patient(X)<~>humble(X))))&
(![X]:(curious(X)=>~rich(X)))&
(![X]:((tall(X)&~humble(X))<=>~rich(X)))&
((?[X]:((rich(X)|~happy(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~wise(X)<~>creative(X))<=>old(X)))&
(![X]:(~g... | ~humble(paul) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3663991025807101832313850
% SZS output start Proof for 3663991025807101832313850
3. ! [X0] : ((old(X0) | calm(X0)) <=> (~patient(X0) <~> humble(X0))) [input p2]
19. old(paul) & patient(paul) [input p18]
24. ~humble(paul) [input hypothesis]
40. ! [X0] : (((old(X0) | calm(X0)) | ((~patient(... | 0 |
Everyone who is either not calm or not patient is generous or calm and vice versa.
Everyone who is brave or tall is both kind and strong and vice versa.
If alice is either not curious or not humble then someone is not old and vice versa.
If someone is not rich or not kind then fred is old.
If someone is kind or tall th... | Paul is not generous. | neutral | (![X]:((~calm(X)<~>~patient(X))<=>(generous(X)|calm(X))))&
(![X]:((brave(X)|tall(X))<=>(kind(X)&strong(X))))&
(((~curious(alice)<~>~humble(alice)))<=>(?[X]:(~old(X))))&
((?[X]:((~rich(X)|~kind(X))))=>(old(fred)))&
((?[X]:((kind(X)|tall(X))))<=>(~happy(fred)))&
(((brave(fred)&quiet(fred)))=>((~wise(alice)&~strong(alice)... | ~generous(paul) | [] | null | 0 |
Everyone who is either funny or creative is both brave and curious. If lucy is funny then someone is either not rich or not kind. Everyone who is either not quiet or quiet is rich and vice versa. Everyone who is creative is tall and vice versa. Everyone who is either not old or brave is both not funny and funny and vic... | Susan is quiet. | entailment | (![X]:((funny(X)<~>creative(X))=>(brave(X)&curious(X))))&
((funny(lucy))=>(?[X]:((~rich(X)<~>~kind(X)))))&
(![X]:((~quiet(X)<~>quiet(X))<=>rich(X)))&
(![X]:(creative(X)<=>tall(X)))&
(![X]:((~old(X)<~>brave(X))<=>(~funny(X)&funny(X))))&
(![X]:((funny(X)|strong(X))=>(~happy(X)&~brave(X))))&
(![X]:((strong(X)&rich(X))<=>(... | quiet(susan) | [
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8488758673274179257156425
% SZS output start Proof for 8488758673274179257156425
3. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> rich(X0)) [input p2]
4. ! [X0] : (creative(X0) <=> tall(X0)) [input p3]
5. ! [X0] : ((~old(X0) <~> brave(X0)) <=> (funny(X0) & ~funny(X0))) [input p4]
6. ! [X0] : (... | 0 |
If john is wise or strong then someone is both not patient and rich and vice versa.
Everyone who is not brave or generous is either humble or happy.
Everyone who is both brave and wise is either old or not curious.
Everyone who is brave is both generous and creative and vice versa.
If mary is either not kind or not ric... | Paul is not happy. | contradiction | (((wise(john)|strong(john)))<=>(?[X]:((~patient(X)&rich(X)))))&
(![X]:((~brave(X)|generous(X))=>(humble(X)<~>happy(X))))&
(![X]:((brave(X)&wise(X))=>(old(X)<~>~curious(X))))&
(![X]:(brave(X)<=>(generous(X)&creative(X))))&
(((~kind(mary)<~>~rich(mary)))<=>((~funny(john)&patient(john))))&
(![X]:((~rich(X)|~calm(X))=>(~pa... | ~happy(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1433627002693010126957381
% SZS output start Proof for 1433627002693010126957381
14. ! [X0] : ((rich(X0) | ~happy(X0)) <=> (~strong(X0) & happy(X0))) [input p13]
21. ~happy(paul) [input hypothesis]
60. ! [X0] : (((rich(X0) | ~happy(X0)) | (strong(X0) | ~happy(X0))) & ((~strong(X0) & happy... | 0 |
If alice is both not generous and not calm then paul is both not creative and strong and vice versa.
If susan is either wise or strong then john is not creative or not old.
Everyone who is not happy is quiet and vice versa.
If someone is not happy then lucy is both creative and old and vice versa.
Everyone who is both ... | Mary is happy. | entailment | (((~generous(alice)&~calm(alice)))<=>((~creative(paul)&strong(paul))))&
(((wise(susan)<~>strong(susan)))=>((~creative(john)|~old(john))))&
(![X]:(~happy(X)<=>quiet(X)))&
((?[X]:(~happy(X)))<=>((creative(lucy)&old(lucy))))&
(![X]:((~tall(X)&~creative(X))<=>(quiet(X)&~strong(X))))&
(((~quiet(lucy)|rich(lucy)))<=>((patien... | happy(mary) | [
"p2",
"p4",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4125850889871879523220488
% SZS output start Proof for 4125850889871879523220488
3. ! [X0] : (~happy(X0) <=> quiet(X0)) [input p2]
5. ! [X0] : ((~creative(X0) & ~tall(X0)) <=> (~strong(X0) & quiet(X0))) [input p4]
8. ! [X0] : ((strong(X0) | ~strong(X0)) => curious(X0)) [input p7]
10. ! [X... | 0 |
Everyone who is curious or not patient is both not brave and not calm.
Everyone who is not brave is either not calm or curious.
If alice is not generous or brave then someone is old or happy and vice versa.
Everyone who is both rich and not quiet is not curious and vice versa.
If someone is wise or old then someone is ... | Paul is brave. | entailment | (![X]:((curious(X)|~patient(X))=>(~brave(X)&~calm(X))))&
(![X]:(~brave(X)=>(~calm(X)<~>curious(X))))&
(((~generous(alice)|brave(alice)))<=>(?[X]:((old(X)|happy(X)))))&
(![X]:((rich(X)&~quiet(X))<=>~curious(X)))&
((?[X]:((wise(X)|old(X))))=>(?[X]:(~brave(X))))&
(((happy(mary)&quiet(mary)))<=>(wise(alice)))&
(((patient(m... | brave(paul) | [
"p0",
"p1",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 433211131997934113256730
% SZS output start Proof for 433211131997934113256730
1. ! [X0] : ((~patient(X0) | curious(X0)) => (~calm(X0) & ~brave(X0))) [input p0]
2. ! [X0] : (~brave(X0) => (~calm(X0) <~> curious(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) & rich(X0)) <=> ~curious(X0)) [input... | 0 |
Everyone who is either kind or brave is not old or strong. If someone is not quiet then someone is both not old and generous. If lucy is either not generous or not humble then mary is rich or not brave and vice versa. If someone is curious then fred is not wise and vice versa. If someone is either not tall or not creat... | Paul is not rich. | entailment | (![X]:((kind(X)<~>brave(X))=>(~old(X)|strong(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~old(X)&generous(X)))))&
(((~generous(lucy)<~>~humble(lucy)))<=>((rich(mary)|~brave(mary))))&
((?[X]:(curious(X)))<=>(~wise(fred)))&
((?[X]:((~tall(X)<~>~creative(X))))<=>((patient(lucy)<~>~happy(lucy))))&
(((~old(paul)<~>~creative(paul)))... | ~rich(paul) | [
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8335256113474518550922216
% SZS output start Proof for 8335256113474518550922216
14. ! [X0] : (rich(X0) => tall(X0)) [input p13]
20. rich(paul) <~> tall(paul) [input p19]
25. rich(paul) [input hypothesis]
42. ! [X0] : (tall(X0) | ~rich(X0)) [ennf transformation 14]
71. (~tall(paul) | ~ric... | 0 |
Everyone who is either brave or happy is not patient or not funny. Everyone who is old or not creative is patient or creative. If someone is wise then someone is both not humble and brave. If susan is old or creative then someone is not generous or happy and vice versa. Everyone who is both not patient and kind is eith... | Susan is not old. | neutral | (![X]:((brave(X)<~>happy(X))=>(~patient(X)|~funny(X))))&
(![X]:((old(X)|~creative(X))=>(patient(X)|creative(X))))&
((?[X]:(wise(X)))=>(?[X]:((~humble(X)&brave(X)))))&
(((old(susan)|creative(susan)))<=>(?[X]:((~generous(X)|happy(X)))))&
(![X]:((~patient(X)&kind(X))=>(curious(X)<~>brave(X))))&
(![X]:((~kind(X)|~generous(... | ~old(susan) | [] | null | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.