premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is rich or patient is both curious and not curious. If lucy is kind or not rich then someone is either tall or kind and vice versa. Everyone who is either not curious or humble is both funny and curious. Everyone who is not generous or funny is both not creative and not quiet. Everyone who is brave or curi... | Paul is kind. | neutral | (![X]:((rich(X)|patient(X))=>(curious(X)&~curious(X))))&
(((kind(lucy)|~rich(lucy)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)... | kind(paul) | [] | null | 0 |
Everyone who is both funny and not strong is not funny or calm.
Everyone who is curious or not humble is not rich.
Everyone who is rich is not tall and vice versa.
If someone is both not quiet and strong then someone is not patient or not old.
Everyone who is not rich or old is either strong or not calm.
Everyone who i... | Paul is strong. | entailment | (![X]:((funny(X)&~strong(X))=>(~funny(X)|calm(X))))&
(![X]:((curious(X)|~humble(X))=>~rich(X)))&
(![X]:(rich(X)<=>~tall(X)))&
((?[X]:((~quiet(X)&strong(X))))=>(?[X]:((~patient(X)|~old(X)))))&
(![X]:((~rich(X)|old(X))=>(strong(X)<~>~calm(X))))&
(![X]:((kind(X)|~generous(X))=>(~calm(X)<~>~funny(X))))&
(![X]:((~kind(X)|ca... | strong(paul) | [
"p0",
"p1",
"p4",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4110242483989338381819452
% SZS output start Proof for 4110242483989338381819452
1. ! [X0] : ((~strong(X0) & funny(X0)) => (calm(X0) | ~funny(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | curious(X0)) => ~rich(X0)) [input p1]
5. ! [X0] : ((old(X0) | ~rich(X0)) => (strong(X0) <~> ~calm(X0))... | 0 |
If someone is happy or brave then mary is both wise and not strong.
Everyone who is either not strong or generous is kind or not tall and vice versa.
Everyone who is either tall or not funny is both not quiet and brave.
If fred is both not patient and not generous then paul is curious.
Everyone who is brave or humble i... | Fred is not old. | entailment | ((?[X]:((happy(X)|brave(X))))=>((wise(mary)&~strong(mary))))&
(![X]:((~strong(X)<~>generous(X))<=>(kind(X)|~tall(X))))&
(![X]:((tall(X)<~>~funny(X))=>(~quiet(X)&brave(X))))&
(((~patient(fred)&~generous(fred)))=>(curious(paul)))&
(![X]:((brave(X)|humble(X))=>(patient(X)&rich(X))))&
((~funny(susan))=>(?[X]:((~brave(X)|ca... | ~old(fred) | [
"p0",
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6385373171026053376348382
% SZS output start Proof for 6385373171026053376348382
1. ? [X0] : (brave(X0) | happy(X0)) => (~strong(mary) & wise(mary)) [input p0]
3. ! [X0] : ((tall(X0) <~> ~funny(X0)) => (brave(X0) & ~quiet(X0))) [input p2]
10. ! [X0] : (old(X0) => (happy(X0) | ~tall(X0))) ... | 0 |
Everyone who is funny is not wise or not generous.
If someone is not creative then susan is either quiet or not generous.
Everyone who is both humble and not old is both not happy and not creative.
If mary is not generous then fred is patient.
If lucy is brave or not tall then fred is either rich or not patient.
Everyo... | Susan is quiet. | entailment | (![X]:(funny(X)=>(~wise(X)|~generous(X))))&
((?[X]:(~creative(X)))=>((quiet(susan)<~>~generous(susan))))&
(![X]:((humble(X)&~old(X))=>(~happy(X)&~creative(X))))&
((~generous(mary))=>(patient(fred)))&
(((brave(lucy)|~tall(lucy)))=>((rich(fred)<~>~patient(fred))))&
(![X]:(~kind(X)=>(creative(X)|funny(X))))&
((?[X]:((crea... | quiet(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3313789196627401327634427
% SZS output start Proof for 3313789196627401327634427
15. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> happy(X0)) [input p14]
25. ~quiet(susan) [input hypothesis]
63. ! [X0] : (((~quiet(X0) & ~happy(X0)) | ~happy(X0)) & (happy(X0) | (quiet(X0) | happy(X0)))) [nnf tra... | 0 |
Everyone who is either not humble or old is either creative or curious and vice versa. If john is not patient or not wise then alice is not tall. Everyone who is either happy or rich is both not curious and generous. Everyone who is either kind or not kind is not tall and vice versa. Everyone who is not calm is either ... | Mary is calm. | entailment | (![X]:((~humble(X)<~>old(X))<=>(creative(X)<~>curious(X))))&
(((~patient(john)|~wise(john)))=>(~tall(alice)))&
(![X]:((happy(X)<~>rich(X))=>(~curious(X)&generous(X))))&
(![X]:((kind(X)<~>~kind(X))<=>~tall(X)))&
(![X]:(~calm(X)=>(calm(X)<~>~rich(X))))&
(![X]:((curious(X)<~>strong(X))=>(~brave(X)<~>~rich(X))))&
(![X]:(ta... | calm(mary) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6656682756420641182101373
% SZS output start Proof for 6656682756420641182101373
4. ! [X0] : ((kind(X0) <~> ~kind(X0)) <=> ~tall(X0)) [input p3]
16. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~calm(X0) | ~wise(X0))) [input p15]
21. ~calm(mary) [input hypothesis]
36. ! [X0] : ((((kind(X0) | ~ki... | 0 |
If someone is not old then someone is both not wise and not calm and vice versa.
Everyone who is not calm or not tall is either old or not humble and vice versa.
Everyone who is patient or wise is both humble and not old and vice versa.
Everyone who is creative or funny is creative or quiet.
If someone is both not tall... | Susan is not strong. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((~wise(X)&~calm(X)))))&
(![X]:((~calm(X)|~tall(X))<=>(old(X)<~>~humble(X))))&
(![X]:((patient(X)|wise(X))<=>(humble(X)&~old(X))))&
(![X]:((creative(X)|funny(X))=>(creative(X)|quiet(X))))&
((?[X]:((~tall(X)&humble(X))))=>(brave(susan)))&
(![X]:((~wise(X)&~curious(X))<=>(~happy(X)&~calm(X))))&
... | ~strong(susan) | [
"p1",
"p2",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3641342157940583356856079
% SZS output start Proof for 3641342157940583356856079
2. ! [X0] : ((~tall(X0) | ~calm(X0)) <=> (old(X0) <~> ~humble(X0))) [input p1]
3. ! [X0] : ((wise(X0) | patient(X0)) <=> (~old(X0) & humble(X0))) [input p2]
9. ! [X0] : (calm(X0) => (humble(X0) & ~calm(X0))) ... | 0 |
If paul is quiet or not kind then someone is either wise or not kind and vice versa. Everyone who is both patient and not wise is strong. Everyone who is both rich and not quiet is not old or creative and vice versa. Everyone who is both happy and not kind is not humble or not tall and vice versa. Everyone who is both ... | Fred is not humble. | contradiction | (((quiet(paul)|~kind(paul)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((patient(X)&~wise(X))=>strong(X)))&
(![X]:((rich(X)&~quiet(X))<=>(~old(X)|creative(X))))&
(![X]:((happy(X)&~kind(X))<=>(~humble(X)|~tall(X))))&
(![X]:((calm(X)&tall(X))<=>(humble(X)|old(X))))&
(![X]:(~funny(X)<=>rich(X)))&
(![X]:((~kind(X)&~quiet(X))... | ~humble(fred) | [
"p7",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4448283373534728010566973
% SZS output start Proof for 4448283373534728010566973
8. ! [X0] : (curious(X0) => (~curious(X0) & rich(X0))) [input p7]
15. ? [X0] : (creative(X0) | generous(X0)) <=> (creative(fred) & humble(fred)) [input p14]
20. ~creative(paul) <~> ~curious(paul) [input p19]
... | 0 |
If paul is brave then someone is both old and not generous and vice versa.
Everyone who is both not wise and strong is rich or curious and vice versa.
Everyone who is not funny is not kind and vice versa.
If john is either not patient or not curious then someone is brave and vice versa.
If someone is not patient then s... | Alice is not humble. | contradiction | ((brave(paul))<=>(?[X]:((old(X)&~generous(X)))))&
(![X]:((~wise(X)&strong(X))<=>(rich(X)|curious(X))))&
(![X]:(~funny(X)<=>~kind(X)))&
(((~patient(john)<~>~curious(john)))<=>(?[X]:(brave(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((humble(X)<~>~brave(X)))))&
((?[X]:((funny(X)&rich(X))))<=>(?[X]:(~creative(X))))&
(![X]:((curi... | ~humble(alice) | [
"p1",
"p5",
"p6",
"p7",
"p8",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 226125636359069709815028
% SZS output start Proof for 226125636359069709815028
2. ! [X0] : ((strong(X0) & ~wise(X0)) <=> (curious(X0) | rich(X0))) [input p1]
6. ? [X0] : (rich(X0) & funny(X0)) <=> ? [X0] : ~creative(X0) [input p5]
7. ! [X0] : ((curious(X0) <~> rich(X0)) => (wise(X0) & str... | 0 |
If fred is either not tall or happy then someone is not tall or creative.
If susan is not curious then someone is creative or curious and vice versa.
Everyone who is quiet or not funny is brave and vice versa.
Everyone who is not brave is both not brave and calm and vice versa.
If someone is not rich then someone is no... | Fred is funny. | entailment | (((~tall(fred)<~>happy(fred)))=>(?[X]:((~tall(X)|creative(X)))))&
((~curious(susan))<=>(?[X]:((creative(X)|curious(X)))))&
(![X]:((quiet(X)|~funny(X))<=>brave(X)))&
(![X]:(~brave(X)<=>(~brave(X)&calm(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(~strong(X))))&
(![X]:((humble(X)|~humble(X))<=>(~brave(X)&~strong(X))))&
(((~creative... | funny(fred) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5909200112336178531567692
% SZS output start Proof for 5909200112336178531567692
3. ! [X0] : ((~funny(X0) | quiet(X0)) <=> brave(X0)) [input p2]
6. ! [X0] : ((~humble(X0) | humble(X0)) <=> (~strong(X0) & ~brave(X0))) [input p5]
23. ~funny(fred) [input hypothesis]
38. ! [X0] : (((~funny(X0... | 0 |
Everyone who is not generous is not curious and vice versa.
If susan is not tall then someone is tall or not old and vice versa.
If john is not curious or not creative then someone is either generous or tall and vice versa.
Everyone who is patient or not rich is not brave or not curious and vice versa.
If someone is ca... | Paul is not rich. | entailment | (![X]:(~generous(X)<=>~curious(X)))&
((~tall(susan))<=>(?[X]:((tall(X)|~old(X)))))&
(((~curious(john)|~creative(john)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((patient(X)|~rich(X))<=>(~brave(X)|~curious(X))))&
((?[X]:((calm(X)|wise(X))))=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:((strong(X)|~creative(X))<=>(~creat... | ~rich(paul) | [
"p0",
"p3",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4674238452360612543422544
% SZS output start Proof for 4674238452360612543422544
1. ! [X0] : (~generous(X0) <=> ~curious(X0)) [input p0]
4. ! [X0] : ((~rich(X0) | patient(X0)) <=> (~curious(X0) | ~brave(X0))) [input p3]
12. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> (~patient(X0) & ~cal... | 0 |
Everyone who is both not old and not quiet is not generous or not quiet and vice versa. If alice is both not humble and not tall then someone is quiet or humble. If john is either not kind or humble then someone is either old or not kind. Everyone who is funny is not brave or not kind. If someone is both not happy and ... | Susan is not humble. | contradiction | (![X]:((~old(X)&~quiet(X))<=>(~generous(X)|~quiet(X))))&
(((~humble(alice)&~tall(alice)))=>(?[X]:((quiet(X)|humble(X)))))&
(((~kind(john)<~>humble(john)))=>(?[X]:((old(X)<~>~kind(X)))))&
(![X]:(funny(X)=>(~brave(X)|~kind(X))))&
((?[X]:((~happy(X)&creative(X))))<=>((brave(lucy)&patient(lucy))))&
(![X]:((happy(X)|~tall(X... | ~humble(susan) | [
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7872467947953424596194131
% SZS output start Proof for 7872467947953424596194131
15. ! [X0] : ((~strong(X0) <~> humble(X0)) <=> (happy(X0) | strong(X0))) [input p14]
23. ~rich(susan) & ~happy(susan) [input p22]
24. ~humble(susan) [input hypothesis]
62. ! [X0] : ((((~humble(X0) | strong(X0... | 0 |
If mary is both not generous and patient then fred is strong. If paul is humble or not brave then alice is not curious and vice versa. If mary is both humble and not tall then fred is either rich or not strong. If susan is rich or creative then someone is not brave. Everyone who is either curious or old is both rich an... | Lucy is tall. | neutral | (((~generous(mary)&patient(mary)))=>(strong(fred)))&
(((humble(paul)|~brave(paul)))<=>(~curious(alice)))&
(((humble(mary)&~tall(mary)))=>((rich(fred)<~>~strong(fred))))&
(((rich(susan)|creative(susan)))=>(?[X]:(~brave(X))))&
(![X]:((curious(X)<~>old(X))<=>(rich(X)&brave(X))))&
(((calm(mary)<~>~quiet(mary)))<=>(?[X]:((b... | tall(lucy) | [] | null | 0 |
Everyone who is not creative is both not calm and old. If fred is either strong or not happy then someone is not curious and vice versa. If someone is both curious and not tall then someone is not quiet or not brave and vice versa. Everyone who is either not old or funny is either happy or not calm and vice versa. Ever... | Fred is not creative. | contradiction | (![X]:(~creative(X)=>(~calm(X)&old(X))))&
(((strong(fred)<~>~happy(fred)))<=>(?[X]:(~curious(X))))&
((?[X]:((curious(X)&~tall(X))))<=>(?[X]:((~quiet(X)|~brave(X)))))&
(![X]:((~old(X)<~>funny(X))<=>(happy(X)<~>~calm(X))))&
(![X]:(~strong(X)<=>(~brave(X)|~old(X))))&
(![X]:((humble(X)<~>~wise(X))=>~patient(X)))&
((~wise(p... | ~creative(fred) | [
"p0",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3743737515286651936347941
% SZS output start Proof for 3743737515286651936347941
1. ! [X0] : (~creative(X0) => (old(X0) & ~calm(X0))) [input p0]
9. ! [X0] : (~funny(X0) <=> (calm(X0) & ~kind(X0))) [input p8]
21. ~funny(fred) [input p20]
25. ~creative(fred) [input hypothesis]
29. ! [X0] : ... | 0 |
Everyone who is both not generous and not creative is either brave or not brave and vice versa.
If someone is either tall or not old then fred is not old.
If mary is both not funny and rich then someone is not tall and vice versa.
If someone is humble then fred is not brave or not strong and vice versa.
If someone is b... | Mary is funny. | contradiction | (![X]:((~generous(X)&~creative(X))<=>(brave(X)<~>~brave(X))))&
((?[X]:((tall(X)<~>~old(X))))=>(~old(fred)))&
(((~funny(mary)&rich(mary)))<=>(?[X]:(~tall(X))))&
((?[X]:(humble(X)))<=>((~brave(fred)|~strong(fred))))&
((?[X]:((~calm(X)&~wise(X))))=>(?[X]:((strong(X)|~kind(X)))))&
((?[X]:((rich(X)<~>~quiet(X))))=>((~humble... | funny(mary) | [
"p0",
"p2",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 663984301238443893728309
% SZS output start Proof for 663984301238443893728309
1. ! [X0] : ((~creative(X0) & ~generous(X0)) <=> (brave(X0) <~> ~brave(X0))) [input p0]
3. (rich(mary) & ~funny(mary)) <=> ? [X0] : ~tall(X0) [input p2]
11. ! [X0] : ((~tall(X0) <~> curious(X0)) <=> (~creative(... | 0 |
If susan is not wise then someone is not tall.
If fred is both funny and not humble then alice is tall or not happy and vice versa.
Everyone who is both wise and generous is not creative or not funny.
If someone is either humble or not brave then lucy is not quiet or not brave and vice versa.
If someone is not wise or ... | Susan is not generous. | contradiction | ((~wise(susan))=>(?[X]:(~tall(X))))&
(((funny(fred)&~humble(fred)))<=>((tall(alice)|~happy(alice))))&
(![X]:((wise(X)&generous(X))=>(~creative(X)|~funny(X))))&
((?[X]:((humble(X)<~>~brave(X))))<=>((~quiet(lucy)|~brave(lucy))))&
((?[X]:((~wise(X)|~patient(X))))<=>((wise(alice)&~creative(alice))))&
(![X]:((~quiet(X)&tall... | ~generous(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 443069370651589337721755
% SZS output start Proof for 443069370651589337721755
8. ! [X0] : (~generous(X0) => (strong(X0) & generous(X0))) [input p7]
25. ~generous(susan) [input hypothesis]
33. ! [X0] : ((strong(X0) & generous(X0)) | generous(X0)) [ennf transformation 8]
116. generous(X0) ... | 0 |
If someone is both not strong and strong then someone is both calm and not brave and vice versa.
If mary is either not tall or not funny then mary is both happy and not humble.
Everyone who is calm or not tall is both rich and not old.
If someone is patient or generous then lucy is both generous and not funny.
If paul ... | Mary is tall. | entailment | ((?[X]:((~strong(X)&strong(X))))<=>(?[X]:((calm(X)&~brave(X)))))&
(((~tall(mary)<~>~funny(mary)))=>((happy(mary)&~humble(mary))))&
(![X]:((calm(X)|~tall(X))=>(rich(X)&~old(X))))&
((?[X]:((patient(X)|generous(X))))=>((generous(lucy)&~funny(lucy))))&
(((~calm(paul)&~patient(paul)))<=>(?[X]:((strong(X)<~>curious(X)))))&
(... | tall(mary) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9150640079082644109394535
% SZS output start Proof for 9150640079082644109394535
2. (~tall(mary) <~> ~funny(mary)) => (~humble(mary) & happy(mary)) [input p1]
3. ! [X0] : ((~tall(X0) | calm(X0)) => (~old(X0) & rich(X0))) [input p2]
5. (~patient(paul) & ~calm(paul)) <=> ? [X0] : (strong(X0... | 0 |
If paul is either old or brave then someone is either not calm or generous and vice versa.
Everyone who is not tall or not curious is both curious and not creative and vice versa.
Everyone who is old or not creative is not calm and vice versa.
Everyone who is not rich is either not strong or happy and vice versa.
If al... | Alice is not strong. | neutral | (((old(paul)<~>brave(paul)))<=>(?[X]:((~calm(X)<~>generous(X)))))&
(![X]:((~tall(X)|~curious(X))<=>(curious(X)&~creative(X))))&
(![X]:((old(X)|~creative(X))<=>~calm(X)))&
(![X]:(~rich(X)<=>(~strong(X)<~>happy(X))))&
(((~tall(alice)|tall(alice)))<=>(~happy(mary)))&
(![X]:(kind(X)=>(funny(X)&~quiet(X))))&
(![X]:((~calm(X... | ~strong(alice) | [] | null | 0 |
Everyone who is both not quiet and generous is not happy or creative and vice versa.
Everyone who is calm is strong and vice versa.
If someone is not patient then someone is either not curious or not brave.
If fred is not creative or not wise then john is both quiet and rich and vice versa.
Everyone who is either patie... | Susan is not tall. | contradiction | (![X]:((~quiet(X)&generous(X))<=>(~happy(X)|creative(X))))&
(![X]:(calm(X)<=>strong(X)))&
((?[X]:(~patient(X)))=>(?[X]:((~curious(X)<~>~brave(X)))))&
(((~creative(fred)|~wise(fred)))<=>((quiet(john)&rich(john))))&
(![X]:((patient(X)<~>~creative(X))<=>~curious(X)))&
(![X]:((quiet(X)&~tall(X))<=>old(X)))&
(![X]:((rich(X)... | ~tall(susan) | [
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3078160154685643872214999
% SZS output start Proof for 3078160154685643872214999
13. ? [X0] : ~kind(X0) <=> (~funny(susan) & tall(susan)) [input p12]
21. ? [X0] : (~kind(X0) & tall(X0)) [input p20]
25. ~tall(susan) [input hypothesis]
60. (? [X0] : ~kind(X0) | (funny(susan) | ~tall(susan))... | 0 |
Everyone who is not funny or creative is not quiet or patient and vice versa. Everyone who is kind or rich is both tall and not calm. Everyone who is wise or curious is quiet or happy. Everyone who is both not wise and creative is both not funny and not creative and vice versa. If susan is brave then lucy is calm or no... | Lucy is happy. | entailment | (![X]:((~funny(X)|creative(X))<=>(~quiet(X)|patient(X))))&
(![X]:((kind(X)|rich(X))=>(tall(X)&~calm(X))))&
(![X]:((wise(X)|curious(X))=>(quiet(X)|happy(X))))&
(![X]:((~wise(X)&creative(X))<=>(~funny(X)&~creative(X))))&
((brave(susan))<=>((calm(lucy)|~rich(lucy))))&
(![X]:(funny(X)<=>(~curious(X)&curious(X))))&
((?[X]:(... | happy(lucy) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1713502529420220553967423
% SZS output start Proof for 1713502529420220553967423
2. ! [X0] : ((rich(X0) | kind(X0)) => (~calm(X0) & tall(X0))) [input p1]
11. ! [X0] : ((~kind(X0) | tall(X0)) => (wise(X0) & happy(X0))) [input p10]
24. ~happy(lucy) [input hypothesis]
27. ! [X0] : ((~calm(X0... | 0 |
Everyone who is not strong or not generous is both old and not tall and vice versa.
Everyone who is both tall and not creative is both not funny and quiet and vice versa.
Everyone who is rich or not strong is both not funny and not patient and vice versa.
Everyone who is curious is either not quiet or not rich.
If some... | Paul is happy. | neutral | (![X]:((~strong(X)|~generous(X))<=>(old(X)&~tall(X))))&
(![X]:((tall(X)&~creative(X))<=>(~funny(X)&quiet(X))))&
(![X]:((rich(X)|~strong(X))<=>(~funny(X)&~patient(X))))&
(![X]:(curious(X)=>(~quiet(X)<~>~rich(X))))&
((?[X]:((~wise(X)&brave(X))))<=>((tall(alice)<~>~wise(alice))))&
(![X]:((creative(X)|~funny(X))=>(~old(X)|... | happy(paul) | [] | null | 0 |
Everyone who is not generous or strong is both not calm and creative.
If fred is both creative and not tall then mary is not quiet.
Everyone who is either calm or funny is not generous and vice versa.
If someone is not rich or tall then someone is both happy and not funny and vice versa.
If someone is old then alice is... | Susan is not calm. | neutral | (![X]:((~generous(X)|strong(X))=>(~calm(X)&creative(X))))&
(((creative(fred)&~tall(fred)))=>(~quiet(mary)))&
(![X]:((calm(X)<~>funny(X))<=>~generous(X)))&
((?[X]:((~rich(X)|tall(X))))<=>(?[X]:((happy(X)&~funny(X)))))&
((?[X]:(old(X)))=>((patient(alice)&happy(alice))))&
(![X]:((~strong(X)|calm(X))<=>(brave(X)&~kind(X)))... | ~calm(susan) | [] | null | 0 |
Everyone who is tall is funny and vice versa.
Everyone who is not tall or kind is both happy and funny.
If someone is either not rich or not old then someone is not tall and vice versa.
Everyone who is not rich is wise or humble and vice versa.
If susan is both rich and not funny then someone is either not kind or not ... | Susan is creative. | neutral | (![X]:(tall(X)<=>funny(X)))&
(![X]:((~tall(X)|kind(X))=>(happy(X)&funny(X))))&
((?[X]:((~rich(X)<~>~old(X))))<=>(?[X]:(~tall(X))))&
(![X]:(~rich(X)<=>(wise(X)|humble(X))))&
(((rich(susan)&~funny(susan)))=>(?[X]:((~kind(X)<~>~rich(X)))))&
(![X]:((funny(X)&old(X))<=>(~brave(X)&~old(X))))&
(![X]:(calm(X)=>generous(X)))&
(... | creative(susan) | [] | null | 0 |
Everyone who is both wise and not quiet is rich. If susan is rich then mary is either funny or not old. If susan is both tall and calm then paul is curious and vice versa. Everyone who is either not wise or not humble is either wise or not old. Everyone who is not old is wise. Everyone who is either not quiet or not ha... | Paul is brave. | entailment | (![X]:((wise(X)&~quiet(X))=>rich(X)))&
((rich(susan))=>((funny(mary)<~>~old(mary))))&
(((tall(susan)&calm(susan)))<=>(curious(paul)))&
(![X]:((~wise(X)<~>~humble(X))=>(wise(X)<~>~old(X))))&
(![X]:(~old(X)=>wise(X)))&
(![X]:((~quiet(X)<~>~happy(X))<=>brave(X)))&
(((~patient(susan)&quiet(susan)))=>(?[X]:((~patient(X)|ric... | brave(paul) | [
"p5",
"p7",
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7485575434848318127355
% SZS output start Proof for 7485575434848318127355
6. ! [X0] : ((~quiet(X0) <~> ~happy(X0)) <=> brave(X0)) [input p5]
8. ! [X0] : (~happy(X0) <=> ~curious(X0)) [input p7]
9. ! [X0] : ((calm(X0) & rich(X0)) <=> (happy(X0) <~> calm(X0))) [input p8]
15. ! [X0] : ((~cu... | 0 |
Everyone who is both not generous and kind is either humble or wise. Everyone who is not tall or patient is not happy or happy and vice versa. If someone is both not rich and not curious then susan is both not funny and not wise. Everyone who is not tall is not brave or old. If john is quiet then someone is either gene... | Susan is creative. | contradiction | (![X]:((~generous(X)&kind(X))=>(humble(X)<~>wise(X))))&
(![X]:((~tall(X)|patient(X))<=>(~happy(X)|happy(X))))&
((?[X]:((~rich(X)&~curious(X))))=>((~funny(susan)&~wise(susan))))&
(![X]:(~tall(X)=>(~brave(X)|old(X))))&
((quiet(john))=>(?[X]:((generous(X)<~>~quiet(X)))))&
((?[X]:((~strong(X)|~funny(X))))=>((brave(lucy)<~>... | creative(susan) | [
"p8",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1641859721100542450185376
% SZS output start Proof for 1641859721100542450185376
9. ! [X0] : ((creative(X0) | brave(X0)) <=> calm(X0)) [input p8]
13. ! [X0] : (~tall(X0) => ~calm(X0)) [input p12]
14. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> ~curious(X0)) [input p13]
16. ! [X0] : ((rich(X0... | 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... | Mary is patient. | contradiction | (![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))))... | patient(mary) | [
"p2",
"p3",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3806469277426788257572371
% SZS output start Proof for 3806469277426788257572371
3. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (wise(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> (~funny(X0) | ~kind(X0))) [input p3]
10. ! [X0] : ((wise(X0) | brave(X0)) <=> (~f... | 0 |
If mary is not happy or not rich then someone is both not strong and happy and vice versa.
Everyone who is both not kind and not old is funny or not strong.
Everyone who is not calm is either not rich or wise and vice versa.
If mary is brave then someone is both happy and kind and vice versa.
Everyone who is either pat... | Fred is not happy. | contradiction | (((~happy(mary)|~rich(mary)))<=>(?[X]:((~strong(X)&happy(X)))))&
(![X]:((~kind(X)&~old(X))=>(funny(X)|~strong(X))))&
(![X]:(~calm(X)<=>(~rich(X)<~>wise(X))))&
((brave(mary))<=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((patient(X)<~>~funny(X))<=>funny(X)))&
(![X]:((wise(X)<~>~funny(X))<=>(humble(X)|patient(X))))&
((?[X]:((ge... | ~happy(fred) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5870870355441637179826657
% SZS output start Proof for 5870870355441637179826657
5. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> funny(X0)) [input p4]
6. ! [X0] : ((wise(X0) <~> ~funny(X0)) <=> (patient(X0) | humble(X0))) [input p5]
8. ! [X0] : ((~brave(X0) & ~rich(X0)) <=> (~happy(X0) | ~r... | 0 |
If someone is not quiet then lucy is generous or not happy and vice versa.
Everyone who is either happy or not rich is either not creative or rich.
If paul is not rich or not patient then someone is brave or tall.
Everyone who is not generous is tall or not old and vice versa.
Everyone who is not generous is both patie... | Paul is not curious. | neutral | ((?[X]:(~quiet(X)))<=>((generous(lucy)|~happy(lucy))))&
(![X]:((happy(X)<~>~rich(X))=>(~creative(X)<~>rich(X))))&
(((~rich(paul)|~patient(paul)))=>(?[X]:((brave(X)|tall(X)))))&
(![X]:(~generous(X)<=>(tall(X)|~old(X))))&
(![X]:(~generous(X)<=>(patient(X)&~funny(X))))&
((humble(paul))<=>(?[X]:((~strong(X)<~>generous(X)))... | ~curious(paul) | [] | null | 0 |
If someone is not curious then paul is generous. If someone is both not wise and not brave then someone is both not tall and old. If someone is not quiet or rich then susan is tall. If someone is either not old or not creative then mary is either not happy or not quiet. If susan is both not happy and funny then john is... | Susan is not quiet. | contradiction | ((?[X]:(~curious(X)))=>(generous(paul)))&
((?[X]:((~wise(X)&~brave(X))))=>(?[X]:((~tall(X)&old(X)))))&
((?[X]:((~quiet(X)|rich(X))))=>(tall(susan)))&
((?[X]:((~old(X)<~>~creative(X))))=>((~happy(mary)<~>~quiet(mary))))&
(((~happy(susan)&funny(susan)))<=>(patient(john)))&
((?[X]:(~curious(X)))=>(?[X]:(~wise(X))))&
(![X]... | ~quiet(susan) | [
"p2",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8195152186643067659352223
% SZS output start Proof for 8195152186643067659352223
3. ? [X0] : (rich(X0) | ~quiet(X0)) => tall(susan) [input p2]
8. ! [X0] : ((rich(X0) | humble(X0)) <=> (~quiet(X0) & wise(X0))) [input p7]
14. ? [X0] : (~wise(X0) <~> tall(X0)) => ~wise(susan) [input p13]
15.... | 0 |
If fred is not old then john is not funny.
Everyone who is both kind and not humble is curious or rich.
Everyone who is both generous and not brave is either not rich or humble and vice versa.
Everyone who is old is not creative or not old and vice versa.
Everyone who is rich is not strong.
Everyone who is both not ric... | Lucy is not rich. | neutral | ((~old(fred))=>(~funny(john)))&
(![X]:((kind(X)&~humble(X))=>(curious(X)|rich(X))))&
(![X]:((generous(X)&~brave(X))<=>(~rich(X)<~>humble(X))))&
(![X]:(old(X)<=>(~creative(X)|~old(X))))&
(![X]:(rich(X)=>~strong(X)))&
(![X]:((~rich(X)&happy(X))=>(generous(X)<~>~happy(X))))&
((?[X]:((~humble(X)<~>wise(X))))<=>((~old(fred)... | ~rich(lucy) | [] | null | 0 |
If fred is either not creative or not brave then someone is either not rich or not patient and vice versa. Everyone who is both not old and patient is either not happy or rich. Everyone who is either not tall or quiet is both kind and not wise and vice versa. If paul is both rich and not quiet then someone is both not ... | Paul is not humble. | entailment | (((~creative(fred)<~>~brave(fred)))<=>(?[X]:((~rich(X)<~>~patient(X)))))&
(![X]:((~old(X)&patient(X))=>(~happy(X)<~>rich(X))))&
(![X]:((~tall(X)<~>quiet(X))<=>(kind(X)&~wise(X))))&
(((rich(paul)&~quiet(paul)))<=>(?[X]:((~curious(X)&~brave(X)))))&
(![X]:((wise(X)<~>creative(X))<=>~tall(X)))&
(((~brave(mary)|happy(mary))... | ~humble(paul) | [
"p2",
"p3",
"p4",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2302145824920629111414232
% SZS output start Proof for 2302145824920629111414232
3. ! [X0] : ((~tall(X0) <~> quiet(X0)) <=> (~wise(X0) & kind(X0))) [input p2]
4. (~quiet(paul) & rich(paul)) <=> ? [X0] : (~brave(X0) & ~curious(X0)) [input p3]
5. ! [X0] : ((wise(X0) <~> creative(X0)) <=> ~t... | 0 |
If mary is not calm or happy then alice is not calm and vice versa.
Everyone who is happy is both not curious and not creative and vice versa.
Everyone who is both strong and creative is wise.
Everyone who is rich is not patient.
Everyone who is both not humble and not kind is not happy.
Everyone who is both curious an... | Mary is not strong. | entailment | (((~calm(mary)|happy(mary)))<=>(~calm(alice)))&
(![X]:(happy(X)<=>(~curious(X)&~creative(X))))&
(![X]:((strong(X)&creative(X))=>wise(X)))&
(![X]:(rich(X)=>~patient(X)))&
(![X]:((~humble(X)&~kind(X))=>~happy(X)))&
(![X]:((curious(X)&~wise(X))<=>~brave(X)))&
((?[X]:((~funny(X)<~>~creative(X))))=>((~curious(paul)&~calm(pa... | ~strong(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 326025439836316102515314
% SZS output start Proof for 326025439836316102515314
12. ! [X0] : (~strong(X0) <=> (strong(X0) | ~calm(X0))) [input p11]
25. strong(mary) [input hypothesis]
54. ! [X0] : ((~strong(X0) | (~strong(X0) & calm(X0))) & ((strong(X0) | ~calm(X0)) | strong(X0))) [nnf tra... | 0 |
If someone is not rich or brave then paul is not creative or not wise.
Everyone who is not curious or funny is either creative or tall.
Everyone who is both not humble and not creative is not calm.
Everyone who is both not humble and humble is not calm.
If susan is wise or not wise then someone is both not happy and cr... | Mary is kind. | entailment | ((?[X]:((~rich(X)|brave(X))))=>((~creative(paul)|~wise(paul))))&
(![X]:((~curious(X)|funny(X))=>(creative(X)<~>tall(X))))&
(![X]:((~humble(X)&~creative(X))=>~calm(X)))&
(![X]:((~humble(X)&humble(X))=>~calm(X)))&
(((wise(susan)|~wise(susan)))=>(?[X]:((~happy(X)&creative(X)))))&
(![X]:((patient(X)|strong(X))<=>(~calm(X)&... | kind(mary) | [
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4904581464859610409282489
% SZS output start Proof for 4904581464859610409282489
7. ! [X0] : ((strong(X0) | ~kind(X0)) <=> (rich(X0) & calm(X0))) [input p6]
19. kind(mary) | ~rich(mary) [input p18]
25. ~kind(mary) [input hypothesis]
47. ! [X0] : (((strong(X0) | ~kind(X0)) | (~rich(X0) | ~... | 0 |
If someone is both brave and not brave then fred is humble or not patient.
Everyone who is not strong is not patient and vice versa.
If someone is either not funny or kind then someone is either creative or not funny and vice versa.
If john is not humble then mary is both not strong and not patient and vice versa.
Ever... | Mary is not strong. | neutral | ((?[X]:((brave(X)&~brave(X))))=>((humble(fred)|~patient(fred))))&
(![X]:(~strong(X)<=>~patient(X)))&
((?[X]:((~funny(X)<~>kind(X))))<=>(?[X]:((creative(X)<~>~funny(X)))))&
((~humble(john))<=>((~strong(mary)&~patient(mary))))&
(![X]:((~old(X)&~rich(X))<=>(rich(X)<~>calm(X))))&
(![X]:((~old(X)<~>~strong(X))<=>strong(X)))... | ~strong(mary) | [] | null | 0 |
Everyone who is either generous or calm is either not generous or wise and vice versa.
If someone is either not tall or not patient then lucy is both not calm and humble.
Everyone who is strong or not patient is curious and vice versa.
Everyone who is either humble or not patient is not generous or not patient.
Everyon... | Lucy is not rich. | contradiction | (![X]:((generous(X)<~>calm(X))<=>(~generous(X)<~>wise(X))))&
((?[X]:((~tall(X)<~>~patient(X))))=>((~calm(lucy)&humble(lucy))))&
(![X]:((strong(X)|~patient(X))<=>curious(X)))&
(![X]:((humble(X)<~>~patient(X))=>(~generous(X)|~patient(X))))&
(![X]:((funny(X)&old(X))=>(kind(X)|calm(X))))&
((?[X]:((patient(X)|generous(X))))... | ~rich(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p9",
"p13",
"p15",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3136030375424775057171212
% SZS output start Proof for 3136030375424775057171212
1. ! [X0] : ((generous(X0) <~> calm(X0)) <=> (~generous(X0) <~> wise(X0))) [input p0]
2. ? [X0] : (~tall(X0) <~> ~patient(X0)) => (humble(lucy) & ~calm(lucy)) [input p1]
3. ! [X0] : ((~patient(X0) | strong(X0... | 0 |
If fred is either curious or not strong then susan is either not generous or not rich and vice versa.
If someone is quiet then someone is both not tall and not curious and vice versa.
If alice is not rich then fred is both not generous and generous.
If john is not quiet or humble then someone is both generous and brave... | John is patient. | contradiction | (((curious(fred)<~>~strong(fred)))<=>((~generous(susan)<~>~rich(susan))))&
((?[X]:(quiet(X)))<=>(?[X]:((~tall(X)&~curious(X)))))&
((~rich(alice))=>((~generous(fred)&generous(fred))))&
(((~quiet(john)|humble(john)))<=>(?[X]:((generous(X)&brave(X)))))&
(![X]:((~old(X)<~>strong(X))<=>old(X)))&
(![X]:((strong(X)&~funny(X))... | patient(john) | [
"p4",
"p7",
"p9",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7790235215330893455703076
% SZS output start Proof for 7790235215330893455703076
5. ! [X0] : ((~old(X0) <~> strong(X0)) <=> old(X0)) [input p4]
8. ! [X0] : ((humble(X0) | ~happy(X0)) => ~patient(X0)) [input p7]
10. wise(john) <=> ? [X0] : (funny(X0) | old(X0)) [input p9]
13. ! [X0] : ((~k... | 0 |
Everyone who is both not kind and generous is both not calm and patient. If paul is brave or generous then john is either not generous or not happy and vice versa. Everyone who is both patient and kind is either not rich or not old. If someone is not tall then alice is both calm and patient. If someone is both kind and... | John is not funny. | neutral | (![X]:((~kind(X)&generous(X))=>(~calm(X)&patient(X))))&
(((brave(paul)|generous(paul)))<=>((~generous(john)<~>~happy(john))))&
(![X]:((patient(X)&kind(X))=>(~rich(X)<~>~old(X))))&
((?[X]:(~tall(X)))=>((calm(alice)&patient(alice))))&
((?[X]:((kind(X)&rich(X))))<=>(humble(susan)))&
(![X]:(rich(X)<=>~patient(X)))&
((?[X]:... | ~funny(john) | [] | null | 0 |
Everyone who is both tall and not kind is happy and vice versa.
If paul is both strong and not calm then someone is both not quiet and tall and vice versa.
If paul is not happy then someone is not creative or not brave.
Everyone who is rich is not patient or kind.
Everyone who is patient or not tall is not funny or bra... | John is rich. | neutral | (![X]:((tall(X)&~kind(X))<=>happy(X)))&
(((strong(paul)&~calm(paul)))<=>(?[X]:((~quiet(X)&tall(X)))))&
((~happy(paul))=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:(rich(X)=>(~patient(X)|kind(X))))&
(![X]:((patient(X)|~tall(X))=>(~funny(X)|brave(X))))&
(![X]:((~wise(X)|tall(X))=>patient(X)))&
(![X]:((~calm(X)|~kind(X))=>... | rich(john) | [] | null | 0 |
Everyone who is either not generous or not calm is both not funny and not creative and vice versa.
If someone is both tall and not tall then paul is happy or kind.
If someone is rich or quiet then someone is quiet or not wise.
Everyone who is not creative or tall is both not patient and not tall.
If someone is not tall... | Alice is not creative. | entailment | (![X]:((~generous(X)<~>~calm(X))<=>(~funny(X)&~creative(X))))&
((?[X]:((tall(X)&~tall(X))))=>((happy(paul)|kind(paul))))&
((?[X]:((rich(X)|quiet(X))))=>(?[X]:((quiet(X)|~wise(X)))))&
(![X]:((~creative(X)|tall(X))=>(~patient(X)&~tall(X))))&
((?[X]:(~tall(X)))=>(?[X]:((kind(X)<~>rich(X)))))&
((?[X]:(humble(X)))=>(?[X]:((... | ~creative(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 404971573232755690016325
% SZS output start Proof for 404971573232755690016325
15. ! [X0] : ((kind(X0) | ~kind(X0)) <=> (~creative(X0) & brave(X0))) [input p14]
25. creative(alice) [input hypothesis]
79. ! [X0] : (((kind(X0) | ~kind(X0)) | (creative(X0) | ~brave(X0))) & ((~creative(X0) & ... | 0 |
Everyone who is both patient and rich is strong or not strong and vice versa. Everyone who is humble is creative or not patient and vice versa. If paul is either humble or generous then someone is either brave or not quiet and vice versa. If someone is both old and tall then someone is either humble or not quiet. Every... | Alice is not strong. | entailment | (![X]:((patient(X)&rich(X))<=>(strong(X)|~strong(X))))&
(![X]:(humble(X)<=>(creative(X)|~patient(X))))&
(((humble(paul)<~>generous(paul)))<=>(?[X]:((brave(X)<~>~quiet(X)))))&
((?[X]:((old(X)&tall(X))))=>(?[X]:((humble(X)<~>~quiet(X)))))&
(![X]:((~tall(X)|wise(X))=>~creative(X)))&
(((quiet(mary)<~>~humble(mary)))<=>(?[X... | ~strong(alice) | [
"p0",
"p6",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1352943039669695067432543
% SZS output start Proof for 1352943039669695067432543
1. ! [X0] : ((rich(X0) & patient(X0)) <=> (~strong(X0) | strong(X0))) [input p0]
7. ~tall(susan) <=> ? [X0] : (~patient(X0) | strong(X0)) [input p6]
13. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~rich(X0) | ... | 0 |
If someone is patient or old then john is not funny or happy and vice versa.
Everyone who is both old and not kind is either rich or curious.
Everyone who is tall is not patient or not rich.
If someone is generous then someone is patient.
If someone is tall or not patient then lucy is tall or old.
Everyone who is eithe... | Lucy is not humble. | entailment | ((?[X]:((patient(X)|old(X))))<=>((~funny(john)|happy(john))))&
(![X]:((old(X)&~kind(X))=>(rich(X)<~>curious(X))))&
(![X]:(tall(X)=>(~patient(X)|~rich(X))))&
((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
((?[X]:((tall(X)|~patient(X))))=>((tall(lucy)|old(lucy))))&
(![X]:((kind(X)<~>wise(X))<=>(~strong(X)|tall(X))))&
(![X]... | ~humble(lucy) | [
"p3",
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1864029795980984347775119
% SZS output start Proof for 1864029795980984347775119
4. ? [X0] : generous(X0) => ? [X0] : patient(X0) [input p3]
6. ! [X0] : ((kind(X0) <~> wise(X0)) <=> (tall(X0) | ~strong(X0))) [input p5]
8. ? [X0] : (~tall(X0) <~> ~wise(X0)) => ? [X0] : (~wise(X0) & generou... | 0 |
If someone is either not quiet or kind then someone is humble or creative and vice versa.
Everyone who is happy is either not rich or not patient.
Everyone who is both not rich and not tall is not wise.
If someone is both strong and humble then someone is either not humble or rich.
Everyone who is either not curious or... | Susan is funny. | contradiction | ((?[X]:((~quiet(X)<~>kind(X))))<=>(?[X]:((humble(X)|creative(X)))))&
(![X]:(happy(X)=>(~rich(X)<~>~patient(X))))&
(![X]:((~rich(X)&~tall(X))=>~wise(X)))&
((?[X]:((strong(X)&humble(X))))=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~curious(X)<~>strong(X))=>(~curious(X)|old(X))))&
(![X]:(~curious(X)<=>(~patient(X)|brave(X... | funny(susan) | [
"p5",
"p6",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4744698182912287963864437
% SZS output start Proof for 4744698182912287963864437
6. ! [X0] : (~curious(X0) <=> (brave(X0) | ~patient(X0))) [input p5]
7. ! [X0] : (~brave(X0) => (~strong(X0) & ~wise(X0))) [input p6]
10. ! [X0] : ((~generous(X0) & tall(X0)) <=> funny(X0)) [input p9]
15. ? [... | 0 |
Everyone who is not generous is both calm and curious.
If john is not tall then someone is either not patient or not creative and vice versa.
Everyone who is humble or brave is rich or brave.
If someone is either not old or quiet then someone is creative and vice versa.
Everyone who is not tall or strong is curious or ... | Fred is funny. | contradiction | (![X]:(~generous(X)=>(calm(X)&curious(X))))&
((~tall(john))<=>(?[X]:((~patient(X)<~>~creative(X)))))&
(![X]:((humble(X)|brave(X))=>(rich(X)|brave(X))))&
((?[X]:((~old(X)<~>quiet(X))))<=>(?[X]:(creative(X))))&
(![X]:((~tall(X)|strong(X))=>(curious(X)|quiet(X))))&
(![X]:((generous(X)&~curious(X))<=>~patient(X)))&
((?[X]:... | funny(fred) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5890241021228653773302865
% SZS output start Proof for 5890241021228653773302865
8. ? [X0] : (~generous(X0) | funny(X0)) => ~calm(fred) [input p7]
13. ! [X0] : ((~calm(X0) | happy(X0)) => (~funny(X0) & ~old(X0))) [input p12]
25. funny(fred) [input hypothesis]
36. ~calm(fred) | ! [X0] : (g... | 0 |
If alice is generous or not patient then someone is not strong or happy and vice versa.
If someone is both not wise and tall then someone is not kind or patient and vice versa.
Everyone who is brave is not wise.
Everyone who is brave is both not generous and not happy.
If someone is not patient then someone is humble o... | Susan is not strong. | contradiction | (((generous(alice)|~patient(alice)))<=>(?[X]:((~strong(X)|happy(X)))))&
((?[X]:((~wise(X)&tall(X))))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(brave(X)=>~wise(X)))&
(![X]:(brave(X)=>(~generous(X)&~happy(X))))&
((?[X]:(~patient(X)))=>(?[X]:((humble(X)|curious(X)))))&
(![X]:(~quiet(X)=>tall(X)))&
(((~strong(paul)<~>quiet... | ~strong(susan) | [
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2163478156498610259197200
% SZS output start Proof for 2163478156498610259197200
8. ? [X0] : ~rich(X0) => (strong(susan) & curious(susan)) [input p7]
16. ! [X0] : (~calm(X0) => ~rich(X0)) [input p15]
17. ~calm(lucy) [input p16]
25. ~strong(susan) [input hypothesis]
34. (strong(susan) & cu... | 0 |
Everyone who is either not old or quiet is both quiet and old and vice versa. If alice is both old and not tall then susan is both generous and not old and vice versa. Everyone who is either quiet or not brave is either not curious or not rich and vice versa. Everyone who is not happy is either not old or not brave. If... | Alice is funny. | entailment | (![X]:((~old(X)<~>quiet(X))<=>(quiet(X)&old(X))))&
(((old(alice)&~tall(alice)))<=>((generous(susan)&~old(susan))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~curious(X)<~>~rich(X))))&
(![X]:(~happy(X)=>(~old(X)<~>~brave(X))))&
(((generous(paul)&~tall(paul)))<=>((kind(mary)&generous(mary))))&
(![X]:((~kind(X)<~>~calm(X))=>~quie... | funny(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 312199142091716742992757
% SZS output start Proof for 312199142091716742992757
23. funny(alice) & ~strong(alice) [input p22]
25. ~funny(alice) [input hypothesis]
153. funny(alice) [cnf transformation 23]
155. ~funny(alice) [cnf transformation 25]
215. 12 <=> funny(alice) [avatar definitio... | 0 |
If john is calm or generous then someone is not happy. Everyone who is both not wise and calm is old. If alice is both not tall and creative then fred is either not funny or not kind and vice versa. If fred is old or not strong then someone is old or kind and vice versa. Everyone who is both not creative and happy is b... | Mary is not strong. | contradiction | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![X]:((~wise(X)&calm(X))=>old(X)))&
(((~tall(alice)&creative(alice)))<=>((~funny(fred)<~>~kind(fred))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(X))))&
(((brave(alice)&~funny(alice)))<=>(?[X]:(... | ~strong(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 79191526127920719538035
% SZS output start Proof for 79191526127920719538035
12. ! [X0] : (quiet(X0) <=> (~quiet(X0) | strong(X0))) [input p11]
24. ~strong(mary) [input hypothesis]
58. ! [X0] : ((quiet(X0) | (quiet(X0) & ~strong(X0))) & ((~quiet(X0) | strong(X0)) | ~quiet(X0))) [nnf trans... | 0 |
If someone is either not happy or not quiet then someone is not creative or quiet. If someone is kind then john is not old. Everyone who is both humble and not tall is both not curious and not rich and vice versa. Everyone who is either strong or kind is either happy or wise. Everyone who is both kind and strong is eit... | Susan is not old. | entailment | ((?[X]:((~happy(X)<~>~quiet(X))))=>(?[X]:((~creative(X)|quiet(X)))))&
((?[X]:(kind(X)))=>(~old(john)))&
(![X]:((humble(X)&~tall(X))<=>(~curious(X)&~rich(X))))&
(![X]:((strong(X)<~>kind(X))=>(happy(X)<~>wise(X))))&
(![X]:((kind(X)&strong(X))<=>(~strong(X)<~>strong(X))))&
(![X]:((generous(X)<~>funny(X))<=>(curious(X)&qui... | ~old(susan) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 869541812147091080810360
% SZS output start Proof for 869541812147091080810360
5. ! [X0] : ((strong(X0) & kind(X0)) <=> (~strong(X0) <~> strong(X0))) [input p4]
7. ! [X0] : ((quiet(X0) | strong(X0)) => ~old(X0)) [input p6]
24. old(susan) [input hypothesis]
30. ! [X0] : (~old(X0) | (~quiet... | 0 |
If someone is both brave and wise then someone is both not patient and not wise and vice versa.
If john is either not happy or not curious then paul is both tall and funny and vice versa.
If someone is not happy then someone is strong or not creative and vice versa.
Everyone who is not funny or humble is either not str... | Paul is quiet. | neutral | ((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~patient(X)&~wise(X)))))&
(((~happy(john)<~>~curious(john)))<=>((tall(paul)&funny(paul))))&
((?[X]:(~happy(X)))<=>(?[X]:((strong(X)|~creative(X)))))&
(![X]:((~funny(X)|humble(X))<=>(~strong(X)<~>brave(X))))&
(![X]:((~old(X)|old(X))<=>(old(X)<~>brave(X))))&
((?[X]:((old(X)|~happy(X... | quiet(paul) | [] | null | 0 |
Everyone who is not strong or not quiet is brave.
If someone is either not kind or rich then alice is brave or not humble and vice versa.
If someone is both not brave and not humble then someone is both not creative and not rich.
If paul is either not happy or patient then john is both not rich and funny and vice versa... | John is not old. | entailment | (![X]:((~strong(X)|~quiet(X))=>brave(X)))&
((?[X]:((~kind(X)<~>rich(X))))<=>((brave(alice)|~humble(alice))))&
((?[X]:((~brave(X)&~humble(X))))=>(?[X]:((~creative(X)&~rich(X)))))&
(((~happy(paul)<~>patient(paul)))<=>((~rich(john)&funny(john))))&
(((~funny(fred)|old(fred)))<=>((brave(susan)&kind(susan))))&
((?[X]:((~wise... | ~old(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 857766319964417055936245
% SZS output start Proof for 857766319964417055936245
14. ! [X0] : (old(X0) => (creative(X0) & ~old(X0))) [input p13]
25. old(john) [input hypothesis]
38. ! [X0] : ((creative(X0) & ~old(X0)) | ~old(X0)) [ennf transformation 14]
125. ~old(X0) | ~old(X0) [cnf transf... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If lucy is tall or not brave then mary is either funny or not brave and vice versa.
If someone is patient then someone is happy and vice versa.
If someone is both strong and old then susan is calm and vice versa.
Everyone who is both g... | Fred is not strong. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
(((tall(lucy)|~brave(lucy)))<=>((funny(mary)<~>~brave(mary))))&
((?[X]:(patient(X)))<=>(?[X]:(happy(X))))&
((?[X]:((strong(X)&old(X))))<=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((ta... | ~strong(fred) | [
"p0",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3563698405030062271361982
% SZS output start Proof for 3563698405030062271361982
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) [input p8]
13. ! [X0] : ((calm(X0) <~> wise(X0)) => (~stro... | 0 |
Everyone who is both not brave and not generous is either rich or not patient and vice versa. Everyone who is both not wise and kind is not humble. Everyone who is happy is patient or not happy. If alice is brave or not tall then someone is quiet. If lucy is both not quiet and creative then fred is tall and vice versa.... | Fred is not happy. | entailment | (![X]:((~brave(X)&~generous(X))<=>(rich(X)<~>~patient(X))))&
(![X]:((~wise(X)&kind(X))=>~humble(X)))&
(![X]:(happy(X)=>(patient(X)|~happy(X))))&
(((brave(alice)|~tall(alice)))=>(?[X]:(quiet(X))))&
(((~quiet(lucy)&creative(lucy)))<=>(tall(fred)))&
((?[X]:((~old(X)|~funny(X))))<=>(calm(paul)))&
(![X]:(~humble(X)<=>(rich(... | ~happy(fred) | [
"p2",
"p4",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3572827619053487012448072
% SZS output start Proof for 3572827619053487012448072
3. ! [X0] : (happy(X0) => (~happy(X0) | patient(X0))) [input p2]
5. (creative(lucy) & ~quiet(lucy)) <=> tall(fred) [input p4]
11. ! [X0] : ((~creative(X0) <~> ~quiet(X0)) => (rich(X0) & ~patient(X0))) [input ... | 0 |
If mary is both not tall and not funny then paul is either not curious or happy and vice versa.
If mary is both creative and strong then mary is both not old and not calm.
If john is both not curious and strong then mary is either tall or rich and vice versa.
Everyone who is both kind and generous is either patient or ... | Lucy is not kind. | neutral | (((~tall(mary)&~funny(mary)))<=>((~curious(paul)<~>happy(paul))))&
(((creative(mary)&strong(mary)))=>((~old(mary)&~calm(mary))))&
(((~curious(john)&strong(john)))<=>((tall(mary)<~>rich(mary))))&
(![X]:((kind(X)&generous(X))=>(patient(X)<~>~brave(X))))&
((~funny(lucy))<=>(humble(paul)))&
(![X]:((~funny(X)&~wise(X))<=>~k... | ~kind(lucy) | [] | null | 0 |
If alice is not funny or not happy then someone is quiet or wise and vice versa.
Everyone who is not wise is not humble or strong and vice versa.
If someone is both not creative and not patient then fred is either generous or humble and vice versa.
If mary is creative or old then someone is curious.
Everyone who is eit... | Susan is not curious. | entailment | (((~funny(alice)|~happy(alice)))<=>(?[X]:((quiet(X)|wise(X)))))&
(![X]:(~wise(X)<=>(~humble(X)|strong(X))))&
((?[X]:((~creative(X)&~patient(X))))<=>((generous(fred)<~>humble(fred))))&
(((creative(mary)|old(mary)))=>(?[X]:(curious(X))))&
(![X]:((brave(X)<~>~patient(X))=>(humble(X)<~>~tall(X))))&
((?[X]:((creative(X)&wis... | ~curious(susan) | [
"p1",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1270886998419202310961091
% SZS output start Proof for 1270886998419202310961091
2. ! [X0] : (~wise(X0) <=> (strong(X0) | ~humble(X0))) [input p1]
13. ! [X0] : (~humble(X0) <=> (rich(X0) | curious(X0))) [input p12]
22. wise(susan) [input p21]
25. curious(susan) [input hypothesis]
36. ! [X... | 0 |
If paul is both not tall and patient then someone is either not creative or curious and vice versa. Everyone who is not humble is either not creative or old and vice versa. Everyone who is both calm and not patient is patient or funny and vice versa. Everyone who is wise is either not kind or not humble and vice versa.... | Alice is not humble. | entailment | (((~tall(paul)&patient(paul)))<=>(?[X]:((~creative(X)<~>curious(X)))))&
(![X]:(~humble(X)<=>(~creative(X)<~>old(X))))&
(![X]:((calm(X)&~patient(X))<=>(patient(X)|funny(X))))&
(![X]:(wise(X)<=>(~kind(X)<~>~humble(X))))&
(![X]:((patient(X)&creative(X))<=>(~tall(X)|wise(X))))&
(((quiet(fred)&calm(fred)))=>(?[X]:(patient(X... | ~humble(alice) | [
"p0",
"p1",
"p2",
"p4",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7007797584149331923753572
% SZS output start Proof for 7007797584149331923753572
1. (patient(paul) & ~tall(paul)) <=> ? [X0] : (~creative(X0) <~> curious(X0)) [input p0]
2. ! [X0] : (~humble(X0) <=> (~creative(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~patient(X0) & calm(X0)) <=> (funny(... | 0 |
If someone is brave or not brave then someone is either creative or not curious. Everyone who is rich is not brave or not wise. If mary is either not patient or wise then someone is either not brave or not rich. If someone is both old and not tall then lucy is tall or not tall and vice versa. If someone is both tall an... | Mary is patient. | neutral | ((?[X]:((brave(X)|~brave(X))))=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:(rich(X)=>(~brave(X)|~wise(X))))&
(((~patient(mary)<~>wise(mary)))=>(?[X]:((~brave(X)<~>~rich(X)))))&
((?[X]:((old(X)&~tall(X))))<=>((tall(lucy)|~tall(lucy))))&
((?[X]:((tall(X)&~calm(X))))<=>(?[X]:((funny(X)<~>wise(X)))))&
(![X]:((~tall(X)|~q... | patient(mary) | [] | null | 0 |
If lucy is both not strong and kind then susan is either patient or old.
If someone is either patient or not funny then john is not funny and vice versa.
If alice is either not wise or humble then someone is either not calm or curious and vice versa.
Everyone who is not generous is brave and vice versa.
Everyone who is... | John is not strong. | neutral | (((~strong(lucy)&kind(lucy)))=>((patient(susan)<~>old(susan))))&
((?[X]:((patient(X)<~>~funny(X))))<=>(~funny(john)))&
(((~wise(alice)<~>humble(alice)))<=>(?[X]:((~calm(X)<~>curious(X)))))&
(![X]:(~generous(X)<=>brave(X)))&
(![X]:((~patient(X)&brave(X))=>(generous(X)&tall(X))))&
(![X]:((tall(X)<~>wise(X))=>(~rich(X)|br... | ~strong(john) | [] | null | 0 |
Everyone who is not brave is not calm and vice versa.
Everyone who is not rich is both humble and patient.
If paul is both generous and not generous then someone is not rich or kind and vice versa.
Everyone who is either not strong or not calm is patient.
Everyone who is either strong or brave is either not creative or... | Mary is not quiet. | neutral | (![X]:(~brave(X)<=>~calm(X)))&
(![X]:(~rich(X)=>(humble(X)&patient(X))))&
(((generous(paul)&~generous(paul)))<=>(?[X]:((~rich(X)|kind(X)))))&
(![X]:((~strong(X)<~>~calm(X))=>patient(X)))&
(![X]:((strong(X)<~>brave(X))=>(~creative(X)<~>humble(X))))&
((rich(mary))<=>((~patient(alice)|~happy(alice))))&
(![X]:((creative(X)... | ~quiet(mary) | [] | null | 0 |
If paul is calm then mary is quiet and vice versa.
Everyone who is either not strong or strong is both not strong and happy and vice versa.
If someone is curious or quiet then someone is both not rich and not happy.
Everyone who is not rich is both brave and not creative.
If mary is either creative or calm then alice i... | Mary is not happy. | contradiction | ((calm(paul))<=>(quiet(mary)))&
(![X]:((~strong(X)<~>strong(X))<=>(~strong(X)&happy(X))))&
((?[X]:((curious(X)|quiet(X))))=>(?[X]:((~rich(X)&~happy(X)))))&
(![X]:(~rich(X)=>(brave(X)&~creative(X))))&
(((creative(mary)<~>calm(mary)))=>((~old(alice)<~>~tall(alice))))&
(![X]:((~strong(X)|~creative(X))=>(~quiet(X)&~curious... | ~happy(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4250541595793419813942485
% SZS output start Proof for 4250541595793419813942485
2. ! [X0] : ((~strong(X0) <~> strong(X0)) <=> (happy(X0) & ~strong(X0))) [input p1]
23. ~happy(mary) [input hypothesis]
39. ! [X0] : ((((~strong(X0) | strong(X0)) & (strong(X0) | ~strong(X0))) | (~happy(X0) |... | 0 |
If someone is both strong and generous then someone is either kind or not brave. If fred is wise or brave then someone is not curious or patient and vice versa. Everyone who is both not humble and not brave is not kind. Everyone who is both not wise and old is either not old or happy and vice versa. If someone is eithe... | Fred is quiet. | neutral | ((?[X]:((strong(X)&generous(X))))=>(?[X]:((kind(X)<~>~brave(X)))))&
(((wise(fred)|brave(fred)))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((~humble(X)&~brave(X))=>~kind(X)))&
(![X]:((~wise(X)&old(X))<=>(~old(X)<~>happy(X))))&
((?[X]:((curious(X)<~>~calm(X))))<=>(kind(lucy)))&
(![X]:((creative(X)|~old(X))<=>(tall(X)&~... | quiet(fred) | [] | null | 0 |
Everyone who is both creative and funny is not humble and vice versa.
If someone is either strong or rich then paul is both not humble and not calm.
If fred is both not brave and not humble then john is either not happy or strong.
Everyone who is not brave is not kind.
Everyone who is either happy or strong is not brav... | Susan is brave. | contradiction | (![X]:((creative(X)&funny(X))<=>~humble(X)))&
((?[X]:((strong(X)<~>rich(X))))=>((~humble(paul)&~calm(paul))))&
(((~brave(fred)&~humble(fred)))=>((~happy(john)<~>strong(john))))&
(![X]:(~brave(X)=>~kind(X)))&
(![X]:((happy(X)<~>strong(X))<=>~brave(X)))&
((?[X]:(~humble(X)))<=>(?[X]:((~patient(X)|~kind(X)))))&
(((creativ... | brave(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6593351939422652196239281
% SZS output start Proof for 6593351939422652196239281
12. ! [X0] : ((kind(X0) | ~brave(X0)) <=> ~kind(X0)) [input p11]
23. brave(susan) [input hypothesis]
59. ! [X0] : (((kind(X0) | ~brave(X0)) | kind(X0)) & (~kind(X0) | (~kind(X0) & brave(X0)))) [nnf transforma... | 0 |
Everyone who is not curious is not funny and vice versa.
Everyone who is both funny and quiet is rich or happy and vice versa.
Everyone who is both not kind and not humble is either quiet or not strong.
Everyone who is both not curious and not strong is not humble and vice versa.
Everyone who is happy or old is both ge... | Susan is calm. | entailment | (![X]:(~curious(X)<=>~funny(X)))&
(![X]:((funny(X)&quiet(X))<=>(rich(X)|happy(X))))&
(![X]:((~kind(X)&~humble(X))=>(quiet(X)<~>~strong(X))))&
(![X]:((~curious(X)&~strong(X))<=>~humble(X)))&
(![X]:((happy(X)|old(X))=>(generous(X)&strong(X))))&
((?[X]:((wise(X)<~>~calm(X))))<=>(?[X]:((kind(X)&~brave(X)))))&
(((~curious(s... | calm(susan) | [
"p3",
"p5",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5503646321133503667727290
% SZS output start Proof for 5503646321133503667727290
4. ! [X0] : ((~strong(X0) & ~curious(X0)) <=> ~humble(X0)) [input p3]
6. ? [X0] : (wise(X0) <~> ~calm(X0)) <=> ? [X0] : (~brave(X0) & kind(X0)) [input p5]
7. (generous(susan) | ~curious(susan)) => (~wise(susa... | 0 |
Everyone who is both humble and not tall is humble. If lucy is not patient then mary is both not curious and wise. Everyone who is not quiet or quiet is patient. Everyone who is not wise is not rich and vice versa. If someone is either not strong or not quiet then paul is either curious or brave and vice versa. Everyon... | Fred is calm. | entailment | (![X]:((humble(X)&~tall(X))=>humble(X)))&
((~patient(lucy))=>((~curious(mary)&wise(mary))))&
(![X]:((~quiet(X)|quiet(X))=>patient(X)))&
(![X]:(~wise(X)<=>~rich(X)))&
((?[X]:((~strong(X)<~>~quiet(X))))<=>((curious(paul)<~>brave(paul))))&
(![X]:((~curious(X)&curious(X))=>(~calm(X)|old(X))))&
(![X]:((wise(X)&calm(X))<=>pa... | calm(fred) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8513128575251842495521963
% SZS output start Proof for 8513128575251842495521963
3. ! [X0] : ((quiet(X0) | ~quiet(X0)) => patient(X0)) [input p2]
7. ! [X0] : ((calm(X0) & wise(X0)) <=> patient(X0)) [input p6]
22. ~calm(fred) [input hypothesis]
24. ! [X0] : (patient(X0) => (calm(X0) & wise... | 0 |
If john is both creative and not happy then fred is not strong and vice versa.
If someone is both humble and not quiet then john is either brave or not tall and vice versa.
If lucy is either not generous or not old then someone is patient or not rich and vice versa.
Everyone who is not tall or quiet is not generous.
Ev... | Mary is not calm. | neutral | (((creative(john)&~happy(john)))<=>(~strong(fred)))&
((?[X]:((humble(X)&~quiet(X))))<=>((brave(john)<~>~tall(john))))&
(((~generous(lucy)<~>~old(lucy)))<=>(?[X]:((patient(X)|~rich(X)))))&
(![X]:((~tall(X)|quiet(X))=>~generous(X)))&
(![X]:((humble(X)<~>curious(X))<=>(calm(X)&patient(X))))&
(![X]:((~quiet(X)&wise(X))=>br... | ~calm(mary) | [] | null | 0 |
Everyone who is both patient and not brave is either not creative or not old and vice versa.
Everyone who is either brave or kind is either happy or brave.
Everyone who is not kind is both not humble and generous.
If susan is both not generous and generous then lucy is not wise or not funny.
Everyone who is either old ... | Susan is not wise. | contradiction | (![X]:((patient(X)&~brave(X))<=>(~creative(X)<~>~old(X))))&
(![X]:((brave(X)<~>kind(X))=>(happy(X)<~>brave(X))))&
(![X]:(~kind(X)=>(~humble(X)&generous(X))))&
(((~generous(susan)&generous(susan)))=>((~wise(lucy)|~funny(lucy))))&
(![X]:((old(X)<~>~happy(X))=>happy(X)))&
(![X]:((quiet(X)&~brave(X))=>(~curious(X)|old(X)))... | ~wise(susan) | [
"p0",
"p1",
"p2",
"p4",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6363712894333771339125796
% SZS output start Proof for 6363712894333771339125796
1. ! [X0] : ((~brave(X0) & patient(X0)) <=> (~creative(X0) <~> ~old(X0))) [input p0]
2. ! [X0] : ((brave(X0) <~> kind(X0)) => (happy(X0) <~> brave(X0))) [input p1]
3. ! [X0] : (~kind(X0) => (generous(X0) & ~h... | 0 |
Everyone who is strong is kind and vice versa.
If someone is either not brave or funny then someone is not quiet or not patient and vice versa.
If susan is both not calm and not generous then someone is not generous.
If susan is not brave then someone is happy or patient and vice versa.
If someone is not curious or ric... | Susan is brave. | entailment | (![X]:(strong(X)<=>kind(X)))&
((?[X]:((~brave(X)<~>funny(X))))<=>(?[X]:((~quiet(X)|~patient(X)))))&
(((~calm(susan)&~generous(susan)))=>(?[X]:(~generous(X))))&
((~brave(susan))<=>(?[X]:((happy(X)|patient(X)))))&
((?[X]:((~curious(X)|rich(X))))<=>((~happy(lucy)<~>rich(lucy))))&
(![X]:(curious(X)<=>(humble(X)<~>~kind(X))... | brave(susan) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8992371942635339523425267
% SZS output start Proof for 8992371942635339523425267
16. ! [X0] : ((humble(X0) <~> old(X0)) <=> (wise(X0) | ~brave(X0))) [input p15]
21. ~old(susan) <~> humble(susan) [input p20]
25. ~brave(susan) [input hypothesis]
72. ! [X0] : ((((~old(X0) | ~humble(X0)) & (o... | 0 |
If someone is not quiet or curious then lucy is both funny and not kind. If someone is either not calm or funny then someone is old or quiet. If someone is old or wise then someone is kind or not curious. Everyone who is wise or generous is both not kind and tall. Everyone who is both brave and not curious is either no... | Fred is old. | contradiction | ((?[X]:((~quiet(X)|curious(X))))=>((funny(lucy)&~kind(lucy))))&
((?[X]:((~calm(X)<~>funny(X))))=>(?[X]:((old(X)|quiet(X)))))&
((?[X]:((old(X)|wise(X))))=>(?[X]:((kind(X)|~curious(X)))))&
(![X]:((wise(X)|generous(X))=>(~kind(X)&tall(X))))&
(![X]:((brave(X)&~curious(X))<=>(~generous(X)<~>~curious(X))))&
(![X]:(tall(X)=>(... | old(fred) | [
"p3",
"p4",
"p7",
"p12",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6456821530264404636497127
% SZS output start Proof for 6456821530264404636497127
4. ! [X0] : ((generous(X0) | wise(X0)) => (tall(X0) & ~kind(X0))) [input p3]
5. ! [X0] : ((~curious(X0) & brave(X0)) <=> (~generous(X0) <~> ~curious(X0))) [input p4]
8. ! [X0] : ((~strong(X0) | ~generous(X0))... | 0 |
Everyone who is either not brave or curious is both patient and brave.
Everyone who is both happy and patient is not brave.
Everyone who is brave or rich is not creative and vice versa.
If alice is either not generous or not brave then someone is both wise and not brave and vice versa.
If paul is brave or curious then ... | John is quiet. | contradiction | (![X]:((~brave(X)<~>curious(X))=>(patient(X)&brave(X))))&
(![X]:((happy(X)&patient(X))=>~brave(X)))&
(![X]:((brave(X)|rich(X))<=>~creative(X)))&
(((~generous(alice)<~>~brave(alice)))<=>(?[X]:((wise(X)&~brave(X)))))&
(((brave(paul)|curious(paul)))<=>((~curious(lucy)|quiet(lucy))))&
(![X]:((~strong(X)<~>rich(X))=>(~rich(... | quiet(john) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2391316973959955028229666
% SZS output start Proof for 2391316973959955028229666
7. ? [X0] : quiet(X0) => ? [X0] : (~happy(X0) & quiet(X0)) [input p6]
8. ! [X0] : (~happy(X0) => (~old(X0) & old(X0))) [input p7]
23. quiet(john) [input hypothesis]
24. ? [X0] : quiet(X0) => ? [X1] : (~happy(... | 0 |
Everyone who is rich is both calm and not generous.
Everyone who is either not humble or not wise is generous.
If alice is either brave or rich then fred is not funny or not calm and vice versa.
If someone is both happy and not tall then mary is strong or not happy.
Everyone who is not tall or quiet is both creative an... | Susan is not quiet. | neutral | (![X]:(rich(X)=>(calm(X)&~generous(X))))&
(![X]:((~humble(X)<~>~wise(X))=>generous(X)))&
(((brave(alice)<~>rich(alice)))<=>((~funny(fred)|~calm(fred))))&
((?[X]:((happy(X)&~tall(X))))=>((strong(mary)|~happy(mary))))&
(![X]:((~tall(X)|quiet(X))<=>(creative(X)&calm(X))))&
((?[X]:((tall(X)&~funny(X))))=>((~brave(susan)|~c... | ~quiet(susan) | [] | null | 0 |
If paul is not quiet or not strong then someone is not generous and vice versa.
Everyone who is brave is kind.
If john is not patient or kind then someone is either patient or creative and vice versa.
Everyone who is both not tall and old is rich or curious and vice versa.
If alice is tall then lucy is either not old o... | Paul is not brave. | entailment | (((~quiet(paul)|~strong(paul)))<=>(?[X]:(~generous(X))))&
(![X]:(brave(X)=>kind(X)))&
(((~patient(john)|kind(john)))<=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:((~tall(X)&old(X))<=>(rich(X)|curious(X))))&
((tall(alice))=>((~old(lucy)<~>~curious(lucy))))&
(![X]:(quiet(X)<=>(rich(X)<~>creative(X))))&
((~patient(lucy))... | ~brave(paul) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4024399597927743363455567
% SZS output start Proof for 4024399597927743363455567
15. ? [X0] : (~patient(X0) | wise(X0)) => ~brave(paul) [input p14]
20. ~patient(alice) [input p19]
25. brave(paul) [input hypothesis]
32. ~brave(paul) | ! [X0] : (patient(X0) & ~wise(X0)) [ennf transformation... | 0 |
Everyone who is not happy or not wise is either not creative or kind and vice versa.
If paul is both not patient and not rich then someone is either not curious or creative.
Everyone who is either not patient or tall is creative or curious and vice versa.
Everyone who is wise or not rich is both wise and kind.
If fred ... | Susan is not generous. | entailment | (![X]:((~happy(X)|~wise(X))<=>(~creative(X)<~>kind(X))))&
(((~patient(paul)&~rich(paul)))=>(?[X]:((~curious(X)<~>creative(X)))))&
(![X]:((~patient(X)<~>tall(X))<=>(creative(X)|curious(X))))&
(![X]:((wise(X)|~rich(X))=>(wise(X)&kind(X))))&
(((~humble(fred)|tall(fred)))<=>(?[X]:(patient(X))))&
(![X]:((~tall(X)|happy(X))<... | ~generous(susan) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7877069041362496303719160
% SZS output start Proof for 7877069041362496303719160
1. ! [X0] : ((~wise(X0) | ~happy(X0)) <=> (~creative(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((~patient(X0) <~> tall(X0)) <=> (curious(X0) | creative(X0))) [input p2]
4. ! [X0] : ((~rich(X0) | wise(X0)) => ... | 0 |
If someone is generous then lucy is either old or kind. If someone is both not happy and curious then fred is not generous or old. Everyone who is rich is both not brave and not kind. Everyone who is not strong or not calm is curious or not rich. Everyone who is not rich is both funny and old and vice versa. If alice i... | Mary is calm. | entailment | ((?[X]:(generous(X)))=>((old(lucy)<~>kind(lucy))))&
((?[X]:((~happy(X)&curious(X))))=>((~generous(fred)|old(fred))))&
(![X]:(rich(X)=>(~brave(X)&~kind(X))))&
(![X]:((~strong(X)|~calm(X))=>(curious(X)|~rich(X))))&
(![X]:(~rich(X)<=>(funny(X)&old(X))))&
(((~old(alice)|~funny(alice)))=>((strong(lucy)|humble(lucy))))&
((ki... | calm(mary) | [
"p3",
"p4",
"p9",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4708135987388194745374961
% SZS output start Proof for 4708135987388194745374961
4. ! [X0] : ((~calm(X0) | ~strong(X0)) => (~rich(X0) | curious(X0))) [input p3]
5. ! [X0] : (~rich(X0) <=> (old(X0) & funny(X0))) [input p4]
10. ! [X0] : ((~happy(X0) <~> wise(X0)) <=> (~old(X0) & ~generous(X... | 0 |
If john is happy or not curious then susan is not quiet and vice versa.
Everyone who is wise is old.
Everyone who is both not old and not rich is old or not strong and vice versa.
Everyone who is either rich or not humble is either not rich or funny.
Everyone who is either quiet or not patient is either not wise or cre... | Paul is not funny. | entailment | (((happy(john)|~curious(john)))<=>(~quiet(susan)))&
(![X]:(wise(X)=>old(X)))&
(![X]:((~old(X)&~rich(X))<=>(old(X)|~strong(X))))&
(![X]:((rich(X)<~>~humble(X))=>(~rich(X)<~>funny(X))))&
(![X]:((quiet(X)<~>~patient(X))=>(~wise(X)<~>creative(X))))&
(![X]:(happy(X)<=>~wise(X)))&
((?[X]:((~tall(X)&~happy(X))))<=>(brave(susa... | ~funny(paul) | [
"p2",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4537543082885746211260530
% SZS output start Proof for 4537543082885746211260530
3. ! [X0] : ((~rich(X0) & ~old(X0)) <=> (~strong(X0) | old(X0))) [input p2]
10. ! [X0] : ((funny(X0) <~> ~calm(X0)) <=> (wise(X0) | ~old(X0))) [input p9]
18. curious(paul) & ~calm(paul) [input p17]
22. funny(... | 0 |
If someone is both not happy and curious then someone is either not humble or not quiet and vice versa. If fred is patient or not rich then alice is not wise. If fred is not brave or not old then someone is both kind and not strong. If susan is either kind or funny then susan is not patient. Everyone who is both not cu... | John is not humble. | neutral | ((?[X]:((~happy(X)&curious(X))))<=>(?[X]:((~humble(X)<~>~quiet(X)))))&
(((patient(fred)|~rich(fred)))=>(~wise(alice)))&
(((~brave(fred)|~old(fred)))=>(?[X]:((kind(X)&~strong(X)))))&
(((kind(susan)<~>funny(susan)))=>(~patient(susan)))&
(![X]:((~curious(X)&~tall(X))<=>(~kind(X)<~>~quiet(X))))&
((?[X]:((~humble(X)|calm(X)... | ~humble(john) | [] | null | 0 |
Everyone who is funny or wise is happy.
Everyone who is both patient and rich is not funny and vice versa.
If lucy is not humble or happy then susan is either not wise or happy and vice versa.
If someone is not brave or brave then lucy is either not quiet or curious.
Everyone who is either old or wise is both not creat... | Fred is calm. | neutral | (![X]:((funny(X)|wise(X))=>happy(X)))&
(![X]:((patient(X)&rich(X))<=>~funny(X)))&
(((~humble(lucy)|happy(lucy)))<=>((~wise(susan)<~>happy(susan))))&
((?[X]:((~brave(X)|brave(X))))=>((~quiet(lucy)<~>curious(lucy))))&
(![X]:((old(X)<~>wise(X))<=>(~creative(X)&~funny(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>kind(X)))&
((?... | calm(fred) | [] | null | 0 |
Everyone who is either strong or not old is strong and vice versa.
Everyone who is not quiet or generous is either kind or curious and vice versa.
If someone is curious then mary is both not humble and not wise.
Everyone who is either strong or not curious is both not humble and wise and vice versa.
Everyone who is bot... | Mary is not quiet. | entailment | (![X]:((strong(X)<~>~old(X))<=>strong(X)))&
(![X]:((~quiet(X)|generous(X))<=>(kind(X)<~>curious(X))))&
((?[X]:(curious(X)))=>((~humble(mary)&~wise(mary))))&
(![X]:((strong(X)<~>~curious(X))<=>(~humble(X)&wise(X))))&
(![X]:((curious(X)&patient(X))<=>(strong(X)|happy(X))))&
(((~quiet(susan)<~>~funny(susan)))=>(?[X]:((kin... | ~quiet(mary) | [
"p2",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2640976981241820905303082
% SZS output start Proof for 2640976981241820905303082
3. ? [X0] : curious(X0) => (~wise(mary) & ~humble(mary)) [input p2]
8. ! [X0] : (~curious(X0) <=> (wise(X0) & ~quiet(X0))) [input p7]
14. ! [X0] : (wise(X0) <=> (wise(X0) | ~humble(X0))) [input p13]
22. quiet... | 0 |
Everyone who is not rich or not tall is calm. If susan is both not happy and patient then someone is brave or not wise. Everyone who is not happy or patient is either not old or not happy and vice versa. Everyone who is generous is calm or not wise and vice versa. Everyone who is old or strong is both old and not rich ... | Lucy is calm. | entailment | (![X]:((~rich(X)|~tall(X))=>calm(X)))&
(((~happy(susan)&patient(susan)))=>(?[X]:((brave(X)|~wise(X)))))&
(![X]:((~happy(X)|patient(X))<=>(~old(X)<~>~happy(X))))&
(![X]:(generous(X)<=>(calm(X)|~wise(X))))&
(![X]:((old(X)|strong(X))<=>(old(X)&~rich(X))))&
((?[X]:((wise(X)&~patient(X))))<=>(?[X]:((wise(X)<~>~wise(X)))))&
... | calm(lucy) | [
"p0",
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8316113093519406137931971
% SZS output start Proof for 8316113093519406137931971
1. ! [X0] : ((~tall(X0) | ~rich(X0)) => calm(X0)) [input p0]
5. ! [X0] : ((strong(X0) | old(X0)) <=> (~rich(X0) & old(X0))) [input p4]
23. old(lucy) & ~patient(lucy) [input p22]
25. ~calm(lucy) [input hypothe... | 0 |
Everyone who is either not patient or not happy is not calm. Everyone who is not old or wise is either rich or strong. If someone is both wise and not humble then someone is not generous or happy. Everyone who is not rich or not kind is either happy or not funny and vice versa. If someone is old then alice is not funny... | Lucy is generous. | contradiction | (![X]:((~patient(X)<~>~happy(X))=>~calm(X)))&
(![X]:((~old(X)|wise(X))=>(rich(X)<~>strong(X))))&
((?[X]:((wise(X)&~humble(X))))=>(?[X]:((~generous(X)|happy(X)))))&
(![X]:((~rich(X)|~kind(X))<=>(happy(X)<~>~funny(X))))&
((?[X]:(old(X)))=>((~funny(alice)|old(alice))))&
(![X]:((~rich(X)&~curious(X))<=>(~kind(X)&generous(X... | generous(lucy) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7553537415072827946333812
% SZS output start Proof for 7553537415072827946333812
6. ! [X0] : ((~curious(X0) & ~rich(X0)) <=> (generous(X0) & ~kind(X0))) [input p5]
19. ~kind(lucy) & rich(lucy) [input p18]
25. generous(lucy) [input hypothesis]
47. ! [X0] : (((~curious(X0) & ~rich(X0)) | (~... | 0 |
Everyone who is tall is creative or not quiet and vice versa. Everyone who is not happy or not generous is old or funny and vice versa. Everyone who is funny is both not humble and not wise and vice versa. If mary is tall then someone is both strong and curious and vice versa. If mary is either not creative or not happ... | John is not humble. | entailment | (![X]:(tall(X)<=>(creative(X)|~quiet(X))))&
(![X]:((~happy(X)|~generous(X))<=>(old(X)|funny(X))))&
(![X]:(funny(X)<=>(~humble(X)&~wise(X))))&
((tall(mary))<=>(?[X]:((strong(X)&curious(X)))))&
(((~creative(mary)<~>~happy(mary)))=>((brave(susan)|~humble(susan))))&
((strong(paul))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((~o... | ~humble(john) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1043685140752382665515409
% SZS output start Proof for 1043685140752382665515409
3. ! [X0] : (funny(X0) <=> (~wise(X0) & ~humble(X0))) [input p2]
14. ! [X0] : ((humble(X0) | ~kind(X0)) => funny(X0)) [input p13]
24. humble(john) [input hypothesis]
32. ! [X0] : (funny(X0) | (~humble(X0) & k... | 0 |
If someone is humble then someone is both happy and creative.
If someone is both not old and not quiet then someone is either wise or not tall and vice versa.
If paul is quiet then someone is both not wise and not funny.
If mary is both brave and rich then paul is not curious.
Everyone who is both curious and brave is ... | Mary is calm. | neutral | ((?[X]:(humble(X)))=>(?[X]:((happy(X)&creative(X)))))&
((?[X]:((~old(X)&~quiet(X))))<=>(?[X]:((wise(X)<~>~tall(X)))))&
((quiet(paul))=>(?[X]:((~wise(X)&~funny(X)))))&
(((brave(mary)&rich(mary)))=>(~curious(paul)))&
(![X]:((curious(X)&brave(X))<=>funny(X)))&
((tall(lucy))<=>(kind(lucy)))&
(((~creative(john)&~happy(john)... | calm(mary) | [] | null | 0 |
If alice is both not old and not quiet then someone is either not patient or old.
If someone is patient then fred is not kind and vice versa.
Everyone who is tall or quiet is either not kind or not rich.
Everyone who is either humble or not wise is either calm or not quiet and vice versa.
If someone is humble then fred... | Fred is not rich. | contradiction | (((~old(alice)&~quiet(alice)))=>(?[X]:((~patient(X)<~>old(X)))))&
((?[X]:(patient(X)))<=>(~kind(fred)))&
(![X]:((tall(X)|quiet(X))=>(~kind(X)<~>~rich(X))))&
(![X]:((humble(X)<~>~wise(X))<=>(calm(X)<~>~quiet(X))))&
((?[X]:(humble(X)))=>((calm(fred)&rich(fred))))&
(![X]:((rich(X)|strong(X))=>(patient(X)<~>quiet(X))))&
((... | ~rich(fred) | [
"p1",
"p4",
"p6",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3068369844945571797495754
% SZS output start Proof for 3068369844945571797495754
2. ? [X0] : patient(X0) <=> ~kind(fred) [input p1]
5. ? [X0] : humble(X0) => (rich(fred) & calm(fred)) [input p4]
7. ? [X0] : (calm(X0) | happy(X0)) => ? [X0] : (~calm(X0) & ~wise(X0)) [input p6]
8. ! [X0] : ... | 0 |
If someone is kind or curious then someone is either not curious or rich.
Everyone who is either rich or wise is happy and vice versa.
If someone is both creative and not wise then lucy is tall or creative and vice versa.
Everyone who is happy is not creative and vice versa.
If someone is quiet or not old then someone ... | Fred is not humble. | entailment | ((?[X]:((kind(X)|curious(X))))=>(?[X]:((~curious(X)<~>rich(X)))))&
(![X]:((rich(X)<~>wise(X))<=>happy(X)))&
((?[X]:((creative(X)&~wise(X))))<=>((tall(lucy)|creative(lucy))))&
(![X]:(happy(X)<=>~creative(X)))&
((?[X]:((quiet(X)|~old(X))))=>(?[X]:((~creative(X)|~funny(X)))))&
(((~happy(lucy)&~generous(lucy)))=>((~calm(pa... | ~humble(fred) | [
"p3",
"p6",
"p7",
"p9",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 217252412199845142383759
% SZS output start Proof for 217252412199845142383759
4. ! [X0] : (happy(X0) <=> ~creative(X0)) [input p3]
7. ? [X0] : (~happy(X0) <~> generous(X0)) <=> (funny(john) <~> humble(john)) [input p6]
8. ! [X0] : (patient(X0) <=> (calm(X0) & quiet(X0))) [input p7]
10. !... | 0 |
Everyone who is brave is both quiet and funny.
Everyone who is both curious and quiet is not calm and vice versa.
Everyone who is calm or not patient is happy or not creative.
Everyone who is kind or wise is not funny or not happy.
If mary is generous then alice is patient or not old and vice versa.
If someone is curio... | John is old. | neutral | (![X]:(brave(X)=>(quiet(X)&funny(X))))&
(![X]:((curious(X)&quiet(X))<=>~calm(X)))&
(![X]:((calm(X)|~patient(X))=>(happy(X)|~creative(X))))&
(![X]:((kind(X)|wise(X))=>(~funny(X)|~happy(X))))&
((generous(mary))<=>((patient(alice)|~old(alice))))&
((?[X]:((curious(X)|~brave(X))))=>(?[X]:((brave(X)|~strong(X)))))&
(![X]:((g... | old(john) | [] | null | 0 |
Everyone who is both not quiet and happy is either not kind or not humble. Everyone who is curious or not brave is both not funny and tall. If mary is tall or not rich then someone is patient or kind and vice versa. Everyone who is either not funny or not quiet is not kind or not happy and vice versa. If fred is not ki... | Susan is not strong. | entailment | (![X]:((~quiet(X)&happy(X))=>(~kind(X)<~>~humble(X))))&
(![X]:((curious(X)|~brave(X))=>(~funny(X)&tall(X))))&
(((tall(mary)|~rich(mary)))<=>(?[X]:((patient(X)|kind(X)))))&
(![X]:((~funny(X)<~>~quiet(X))<=>(~kind(X)|~happy(X))))&
(((~kind(fred)|wise(fred)))=>(?[X]:((~old(X)&~patient(X)))))&
(![X]:(~strong(X)=>(~quiet(X)... | ~strong(susan) | [
"p1",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 813670851187647766859298
% SZS output start Proof for 813670851187647766859298
2. ! [X0] : ((~brave(X0) | curious(X0)) => (tall(X0) & ~funny(X0))) [input p1]
9. ? [X0] : (kind(X0) | calm(X0)) => (~patient(susan) & curious(susan)) [input p8]
11. ! [X0] : ((generous(X0) | tall(X0)) <=> (fun... | 0 |
If someone is both wise and calm then alice is either creative or not happy and vice versa. Everyone who is both happy and quiet is not rich or not brave and vice versa. If someone is calm or curious then mary is either creative or humble. Everyone who is not humble or not wise is either humble or not quiet. If paul is... | Susan is quiet. | neutral | ((?[X]:((wise(X)&calm(X))))<=>((creative(alice)<~>~happy(alice))))&
(![X]:((happy(X)&quiet(X))<=>(~rich(X)|~brave(X))))&
((?[X]:((calm(X)|curious(X))))=>((creative(mary)<~>humble(mary))))&
(![X]:((~humble(X)|~wise(X))=>(humble(X)<~>~quiet(X))))&
(((generous(paul)&tall(paul)))=>((strong(susan)&~tall(susan))))&
((~funny(... | quiet(susan) | [] | null | 0 |
If someone is either brave or not tall then someone is both calm and quiet. Everyone who is not strong is both not strong and old. Everyone who is both quiet and not kind is both not strong and old. Everyone who is both quiet and not calm is not quiet or not kind. If mary is not funny then someone is generous or brave ... | Lucy is generous. | entailment | ((?[X]:((brave(X)<~>~tall(X))))=>(?[X]:((calm(X)&quiet(X)))))&
(![X]:(~strong(X)=>(~strong(X)&old(X))))&
(![X]:((quiet(X)&~kind(X))=>(~strong(X)&old(X))))&
(![X]:((quiet(X)&~calm(X))=>(~quiet(X)|~kind(X))))&
((~funny(mary))<=>(?[X]:((generous(X)|brave(X)))))&
(![X]:((~creative(X)&strong(X))<=>~quiet(X)))&
(![X]:((~tall... | generous(lucy) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 212445894915845614793519
% SZS output start Proof for 212445894915845614793519
2. ! [X0] : (~strong(X0) => (old(X0) & ~strong(X0))) [input p1]
3. ! [X0] : ((~kind(X0) & quiet(X0)) => (old(X0) & ~strong(X0))) [input p2]
4. ! [X0] : ((~calm(X0) & quiet(X0)) => (~kind(X0) | ~quiet(X0))) [inp... | 0 |
Everyone who is not rich or not funny is either funny or not curious and vice versa.
If someone is not kind then someone is humble or not calm.
Everyone who is not patient is not funny and vice versa.
If someone is calm then susan is strong or quiet and vice versa.
If someone is curious then someone is either not old o... | Paul is old. | contradiction | (![X]:((~rich(X)|~funny(X))<=>(funny(X)<~>~curious(X))))&
((?[X]:(~kind(X)))=>(?[X]:((humble(X)|~calm(X)))))&
(![X]:(~patient(X)<=>~funny(X)))&
((?[X]:(calm(X)))<=>((strong(susan)|quiet(susan))))&
((?[X]:(curious(X)))=>(?[X]:((~old(X)<~>~strong(X)))))&
(![X]:(old(X)=>(~patient(X)&old(X))))&
(![X]:(brave(X)<=>(~creative... | old(paul) | [
"p0",
"p2",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 26762546866089091502926
% SZS output start Proof for 26762546866089091502926
1. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (funny(X0) <~> ~curious(X0))) [input p0]
3. ! [X0] : (~patient(X0) <=> ~funny(X0)) [input p2]
6. ! [X0] : (old(X0) => (old(X0) & ~patient(X0))) [input p5]
12. ! [X0] : (~... | 0 |
Everyone who is wise or not wise is patient and vice versa.
Everyone who is not kind is not rich.
If john is both not rich and quiet then someone is both not funny and creative and vice versa.
Everyone who is both kind and happy is either not wise or old and vice versa.
Everyone who is not funny is both tall and not br... | Alice is generous. | contradiction | (![X]:((wise(X)|~wise(X))<=>patient(X)))&
(![X]:(~kind(X)=>~rich(X)))&
(((~rich(john)&quiet(john)))<=>(?[X]:((~funny(X)&creative(X)))))&
(![X]:((kind(X)&happy(X))<=>(~wise(X)<~>old(X))))&
(![X]:(~funny(X)=>(tall(X)&~brave(X))))&
(![X]:((calm(X)&curious(X))=>(~humble(X)|~funny(X))))&
(![X]:((kind(X)&curious(X))=>~creati... | generous(alice) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 850086422631026243759555
% SZS output start Proof for 850086422631026243759555
5. ! [X0] : (~funny(X0) => (~brave(X0) & tall(X0))) [input p4]
11. (~creative(alice) | generous(alice)) <=> (~funny(fred) & brave(fred)) [input p10]
25. generous(alice) [input hypothesis]
29. ! [X0] : ((~brave(... | 0 |
If someone is either not generous or kind then someone is not happy.
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vi... | Fred is not quiet. | entailment | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:(~happy(X))))&
(((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&... | ~quiet(fred) | [
"p0",
"p3",
"p7",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2111931039520306260990957
% SZS output start Proof for 2111931039520306260990957
1. ? [X0] : (~generous(X0) <~> kind(X0)) => ? [X0] : ~happy(X0) [input p0]
4. ! [X0] : (~funny(X0) <=> (calm(X0) | funny(X0))) [input p3]
8. ! [X0] : ((~patient(X0) <~> wise(X0)) => (kind(X0) & ~old(X0))) [in... | 0 |
If someone is either kind or strong then alice is calm or not generous.
Everyone who is not strong or not brave is not humble.
If someone is not creative or tall then someone is not funny or not tall and vice versa.
Everyone who is funny or curious is creative and vice versa.
Everyone who is either kind or not humble i... | Mary is humble. | contradiction | ((?[X]:((kind(X)<~>strong(X))))=>((calm(alice)|~generous(alice))))&
(![X]:((~strong(X)|~brave(X))=>~humble(X)))&
((?[X]:((~creative(X)|tall(X))))<=>(?[X]:((~funny(X)|~tall(X)))))&
(![X]:((funny(X)|curious(X))<=>creative(X)))&
(![X]:((kind(X)<~>~humble(X))<=>(~calm(X)<~>creative(X))))&
(![X]:((~brave(X)<~>~strong(X))<=>... | humble(mary) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 94369894700900625923491
% SZS output start Proof for 94369894700900625923491
2. ! [X0] : ((~brave(X0) | ~strong(X0)) => ~humble(X0)) [input p1]
11. ! [X0] : (brave(X0) => (~humble(X0) & tall(X0))) [input p10]
25. humble(mary) [input hypothesis]
30. ! [X0] : (~humble(X0) | (brave(X0) & str... | 0 |
If fred is either not creative or not brave then someone is either not rich or not patient and vice versa. Everyone who is both not old and patient is either not happy or rich. Everyone who is either not tall or quiet is both kind and not wise and vice versa. If paul is both rich and not quiet then someone is both not ... | Paul is not humble. | entailment | (((~creative(fred)<~>~brave(fred)))<=>(?[X]:((~rich(X)<~>~patient(X)))))&
(![X]:((~old(X)&patient(X))=>(~happy(X)<~>rich(X))))&
(![X]:((~tall(X)<~>quiet(X))<=>(kind(X)&~wise(X))))&
(((rich(paul)&~quiet(paul)))<=>(?[X]:((~curious(X)&~brave(X)))))&
(![X]:((wise(X)<~>creative(X))<=>~tall(X)))&
(((~brave(mary)|happy(mary))... | ~humble(paul) | [
"p2",
"p3",
"p4",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2302145824920629111463932
% SZS output start Proof for 2302145824920629111463932
3. ! [X0] : ((~tall(X0) <~> quiet(X0)) <=> (~wise(X0) & kind(X0))) [input p2]
4. (~quiet(paul) & rich(paul)) <=> ? [X0] : (~brave(X0) & ~curious(X0)) [input p3]
5. ! [X0] : ((wise(X0) <~> creative(X0)) <=> ~t... | 0 |
If someone is curious or generous then mary is not wise and vice versa.
If paul is old or calm then alice is both wise and funny.
Everyone who is happy or patient is not old or creative.
If someone is happy or strong then lucy is either strong or rich and vice versa.
Everyone who is both not tall and rich is both not b... | Alice is generous. | neutral | ((?[X]:((curious(X)|generous(X))))<=>(~wise(mary)))&
(((old(paul)|calm(paul)))=>((wise(alice)&funny(alice))))&
(![X]:((happy(X)|patient(X))=>(~old(X)|creative(X))))&
((?[X]:((happy(X)|strong(X))))<=>((strong(lucy)<~>rich(lucy))))&
(![X]:((~tall(X)&rich(X))=>(~brave(X)&tall(X))))&
(![X]:(~patient(X)=>(brave(X)&humble(X)... | generous(alice) | [] | null | 0 |
If someone is humble or not kind then mary is not wise or not rich.
Everyone who is both not tall and not rich is not happy and vice versa.
Everyone who is both not happy and patient is both brave and not brave.
If someone is not brave or generous then lucy is not tall and vice versa.
If someone is both not tall and ol... | Lucy is not happy. | contradiction | ((?[X]:((humble(X)|~kind(X))))=>((~wise(mary)|~rich(mary))))&
(![X]:((~tall(X)&~rich(X))<=>~happy(X)))&
(![X]:((~happy(X)&patient(X))=>(brave(X)&~brave(X))))&
((?[X]:((~brave(X)|generous(X))))<=>(~tall(lucy)))&
((?[X]:((~tall(X)&old(X))))<=>(?[X]:((old(X)&~wise(X)))))&
((?[X]:((~brave(X)<~>funny(X))))=>(~humble(lucy)))... | ~happy(lucy) | [
"p1",
"p5",
"p7",
"p11",
"p13",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6617334651235456865760342
% SZS output start Proof for 6617334651235456865760342
2. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> ~happy(X0)) [input p1]
6. ? [X0] : (~brave(X0) <~> funny(X0)) => ~humble(lucy) [input p5]
8. (rich(lucy) | ~creative(lucy)) <=> ? [X0] : (~calm(X0) <~> funny(X0)) [inp... | 0 |
If mary is rich or quiet then lucy is either not patient or not tall.
If susan is both not tall and not happy then paul is funny.
Everyone who is both strong and not brave is either brave or not brave.
Everyone who is rich is either tall or not quiet.
If someone is not happy then someone is kind or not tall.
Everyone w... | Mary is brave. | entailment | (((rich(mary)|quiet(mary)))=>((~patient(lucy)<~>~tall(lucy))))&
(((~tall(susan)&~happy(susan)))=>(funny(paul)))&
(![X]:((strong(X)&~brave(X))=>(brave(X)<~>~brave(X))))&
(![X]:(rich(X)=>(tall(X)<~>~quiet(X))))&
((?[X]:(~happy(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(~wise(X)<=>(wise(X)<~>brave(X))))&
(![X]:((~old(X)|~... | brave(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6249775967321636176440046
% SZS output start Proof for 6249775967321636176440046
6. ! [X0] : (~wise(X0) <=> (wise(X0) <~> brave(X0))) [input p5]
24. ~brave(mary) [input hypothesis]
42. ! [X0] : ((~wise(X0) | ((wise(X0) | ~brave(X0)) & (brave(X0) | ~wise(X0)))) & (((~brave(X0) | ~wise(X0))... | 0 |
Everyone who is either not happy or calm is happy or strong and vice versa. Everyone who is not quiet or old is not brave. Everyone who is either not calm or not rich is old. Everyone who is kind is not humble or not tall and vice versa. Everyone who is generous or not happy is not wise and vice versa. If john is both ... | Fred is old. | entailment | (![X]:((~happy(X)<~>calm(X))<=>(happy(X)|strong(X))))&
(![X]:((~quiet(X)|old(X))=>~brave(X)))&
(![X]:((~calm(X)<~>~rich(X))=>old(X)))&
(![X]:(kind(X)<=>(~humble(X)|~tall(X))))&
(![X]:((generous(X)|~happy(X))<=>~wise(X)))&
(((tall(john)&rich(john)))<=>((~humble(susan)&~calm(susan))))&
(![X]:((~brave(X)|rich(X))<=>(patie... | old(fred) | [
"p0",
"p2",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 264428233060399105181918
% SZS output start Proof for 264428233060399105181918
1. ! [X0] : ((~happy(X0) <~> calm(X0)) <=> (strong(X0) | happy(X0))) [input p0]
3. ! [X0] : ((~calm(X0) <~> ~rich(X0)) => old(X0)) [input p2]
10. ! [X0] : ((~brave(X0) | brave(X0)) => (happy(X0) & patient(X0)))... | 0 |
If john is not generous then someone is not strong or not brave. If fred is either not rich or not patient then someone is kind. If someone is not calm then alice is both not kind and not generous. If john is either strong or not happy then mary is both not wise and not curious and vice versa. Everyone who is curious o... | Lucy is brave. | entailment | ((~generous(john))=>(?[X]:((~strong(X)|~brave(X)))))&
(((~rich(fred)<~>~patient(fred)))=>(?[X]:(kind(X))))&
((?[X]:(~calm(X)))=>((~kind(alice)&~generous(alice))))&
(((strong(john)<~>~happy(john)))<=>((~wise(mary)&~curious(mary))))&
(![X]:((curious(X)|strong(X))=>(~brave(X)<~>~old(X))))&
(![X]:(~brave(X)<=>(kind(X)<~>ha... | brave(lucy) | [
"p4",
"p7",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3935590549807622663139369
% SZS output start Proof for 3935590549807622663139369
5. ! [X0] : ((strong(X0) | curious(X0)) => (~brave(X0) <~> ~old(X0))) [input p4]
8. ! [X0] : ((brave(X0) & ~happy(X0)) <=> (wise(X0) <~> strong(X0))) [input p7]
14. ! [X0] : (happy(X0) <=> (~curious(X0) <~> ~... | 0 |
Everyone who is not wise or creative is either generous or old and vice versa. Everyone who is strong or wise is either not brave or quiet and vice versa. Everyone who is kind or happy is not strong. Everyone who is not strong is both wise and not kind and vice versa. Everyone who is both brave and patient is not curio... | John is not funny. | contradiction | (![X]:((~wise(X)|creative(X))<=>(generous(X)<~>old(X))))&
(![X]:((strong(X)|wise(X))<=>(~brave(X)<~>quiet(X))))&
(![X]:((kind(X)|happy(X))=>~strong(X)))&
(![X]:(~strong(X)<=>(wise(X)&~kind(X))))&
(![X]:((brave(X)&patient(X))<=>~curious(X)))&
((?[X]:((kind(X)&rich(X))))=>((~patient(mary)&happy(mary))))&
(![X]:(funny(X)<... | ~funny(john) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5271177640421793624688626
% SZS output start Proof for 5271177640421793624688626
3. ! [X0] : ((happy(X0) | kind(X0)) => ~strong(X0)) [input p2]
4. ! [X0] : (~strong(X0) <=> (~kind(X0) & wise(X0))) [input p3]
5. ! [X0] : ((patient(X0) & brave(X0)) <=> ~curious(X0)) [input p4]
7. ! [X0] : (... | 0 |
If susan is not strong then someone is both generous and not happy.
Everyone who is humble is either humble or strong.
If lucy is either creative or old then alice is not curious.
Everyone who is both creative and not brave is not curious or quiet and vice versa.
Everyone who is both not kind and not strong is either n... | Susan is kind. | contradiction | ((~strong(susan))=>(?[X]:((generous(X)&~happy(X)))))&
(![X]:(humble(X)=>(humble(X)<~>strong(X))))&
(((creative(lucy)<~>old(lucy)))=>(~curious(alice)))&
(![X]:((creative(X)&~brave(X))<=>(~curious(X)|quiet(X))))&
(![X]:((~kind(X)&~strong(X))<=>(~patient(X)<~>old(X))))&
(![X]:((creative(X)|patient(X))<=>~brave(X)))&
(![X]... | kind(susan) | [
"p4",
"p8",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 315298992453886527228949
% SZS output start Proof for 315298992453886527228949
5. ! [X0] : ((~strong(X0) & ~kind(X0)) <=> (~patient(X0) <~> old(X0))) [input p4]
9. ! [X0] : (~happy(X0) => (funny(X0) & old(X0))) [input p8]
13. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (happy(X0) <~> ~patient... | 0 |
Everyone who is either not old or not quiet is wise.
Everyone who is both calm and not curious is happy.
Everyone who is not strong or kind is either strong or not humble.
If mary is both not rich and funny then someone is not funny.
If fred is funny or generous then mary is both humble and rich.
Everyone who is tall i... | John is calm. | neutral | (![X]:((~old(X)<~>~quiet(X))=>wise(X)))&
(![X]:((calm(X)&~curious(X))=>happy(X)))&
(![X]:((~strong(X)|kind(X))=>(strong(X)<~>~humble(X))))&
(((~rich(mary)&funny(mary)))=>(?[X]:(~funny(X))))&
(((funny(fred)|generous(fred)))=>((humble(mary)&rich(mary))))&
(![X]:(tall(X)<=>~generous(X)))&
(((wise(alice)|~old(alice)))<=>(?... | calm(john) | [] | null | 0 |
Everyone who is both strong and not rich is calm or creative and vice versa. If someone is either quiet or not old then paul is both calm and wise and vice versa. Everyone who is tall or calm is either strong or not humble and vice versa. Everyone who is both tall and brave is tall. If someone is not funny then someone... | Susan is funny. | contradiction | (![X]:((strong(X)&~rich(X))<=>(calm(X)|creative(X))))&
((?[X]:((quiet(X)<~>~old(X))))<=>((calm(paul)&wise(paul))))&
(![X]:((tall(X)|calm(X))<=>(strong(X)<~>~humble(X))))&
(![X]:((tall(X)&brave(X))=>tall(X)))&
((?[X]:(~funny(X)))<=>(?[X]:((~wise(X)<~>calm(X)))))&
(![X]:((curious(X)|~wise(X))=>(strong(X)|generous(X))))&
... | funny(susan) | [
"p0",
"p1",
"p2",
"p6",
"p15",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1828308848236733918513136
% SZS output start Proof for 1828308848236733918513136
1. ! [X0] : ((~rich(X0) & strong(X0)) <=> (creative(X0) | calm(X0))) [input p0]
2. ? [X0] : (quiet(X0) <~> ~old(X0)) <=> (wise(paul) & calm(paul)) [input p1]
3. ! [X0] : ((calm(X0) | tall(X0)) <=> (strong(X0)... | 0 |
If paul is either not curious or not creative then someone is not strong and vice versa.
If susan is not quiet or old then someone is either funny or happy.
Everyone who is wise or not brave is generous or humble and vice versa.
Everyone who is either rich or not creative is either not rich or not humble.
If someone is... | Susan is strong. | entailment | (((~curious(paul)<~>~creative(paul)))<=>(?[X]:(~strong(X))))&
(((~quiet(susan)|old(susan)))=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:((wise(X)|~brave(X))<=>(generous(X)|humble(X))))&
(![X]:((rich(X)<~>~creative(X))=>(~rich(X)<~>~humble(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((tall(X)<~>~brave(X)))))&
(((~curious(john)<~>hap... | strong(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8855069437246636296431528
% SZS output start Proof for 8855069437246636296431528
16. ? [X0] : ~strong(X0) <=> (wise(susan) & strong(susan)) [input p15]
25. ~strong(susan) [input hypothesis]
77. (? [X0] : ~strong(X0) | (~wise(susan) | ~strong(susan))) & ((wise(susan) & strong(susan)) | ! [... | 0 |
If someone is rich or not happy then lucy is strong or not quiet and vice versa. If someone is both tall and not happy then someone is generous or not generous. Everyone who is both strong and not tall is either patient or strong and vice versa. If someone is either not kind or kind then someone is old and vice versa. ... | Fred is generous. | neutral | ((?[X]:((rich(X)|~happy(X))))<=>((strong(lucy)|~quiet(lucy))))&
((?[X]:((tall(X)&~happy(X))))=>(?[X]:((generous(X)|~generous(X)))))&
(![X]:((strong(X)&~tall(X))<=>(patient(X)<~>strong(X))))&
((?[X]:((~kind(X)<~>kind(X))))<=>(?[X]:(old(X))))&
(![X]:(~patient(X)=>(~creative(X)&~curious(X))))&
(((tall(paul)<~>wise(paul)))... | generous(fred) | [] | null | 0 |
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