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 both happy and creative is both not strong and not tall. If someone is not kind then paul is not wise. If john is tall or wise then someone is both not funny and strong. If fred is both not tall and creative then lucy is both humble and brave. Everyone who is strong is old. Everyone who is not rich is e... | Paul is generous. | entailment | (![X]:((happy(X)&creative(X))=>(~strong(X)&~tall(X))))&
((?[X]:(~kind(X)))=>(~wise(paul)))&
(((tall(john)|wise(john)))=>(?[X]:((~funny(X)&strong(X)))))&
(((~tall(fred)&creative(fred)))=>((humble(lucy)&brave(lucy))))&
(![X]:(strong(X)=>old(X)))&
(![X]:(~rich(X)<=>(rich(X)<~>funny(X))))&
(![X]:((~patient(X)&~generous(X))... | generous(paul) | [
"p1",
"p4",
"p6",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 14869865139111199203360
% SZS output start Proof for 14869865139111199203360
2. ? [X0] : ~kind(X0) => ~wise(paul) [input p1]
5. ! [X0] : (strong(X0) => old(X0)) [input p4]
7. ! [X0] : ((~generous(X0) & ~patient(X0)) => (wise(X0) <~> ~old(X0))) [input p6]
12. ! [X0] : ((patient(X0) <~> ~st... | 0 |
Everyone who is both not generous and generous is not tall or not humble and vice versa.
If paul is both not kind and not strong then paul is rich or not rich.
If mary is not kind or creative then someone is not brave or not quiet and vice versa.
Everyone who is not generous is either not generous or tall.
Everyone who... | Lucy is not creative. | neutral | (![X]:((~generous(X)&generous(X))<=>(~tall(X)|~humble(X))))&
(((~kind(paul)&~strong(paul)))=>((rich(paul)|~rich(paul))))&
(((~kind(mary)|creative(mary)))<=>(?[X]:((~brave(X)|~quiet(X)))))&
(![X]:(~generous(X)=>(~generous(X)<~>tall(X))))&
(![X]:((brave(X)<~>humble(X))<=>(~kind(X)|strong(X))))&
(![X]:((~calm(X)|kind(X))=... | ~creative(lucy) | [] | null | 0 |
Everyone who is either not happy or wise is both not creative and humble.
If someone is either not funny or not old then someone is kind or rich and vice versa.
Everyone who is not strong is either not wise or calm.
If someone is curious then mary is both not old and generous and vice versa.
Everyone who is not curious... | John is not calm. | entailment | (![X]:((~happy(X)<~>wise(X))=>(~creative(X)&humble(X))))&
((?[X]:((~funny(X)<~>~old(X))))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:(~strong(X)=>(~wise(X)<~>calm(X))))&
((?[X]:(curious(X)))<=>((~old(mary)&generous(mary))))&
(![X]:(~curious(X)<=>(~generous(X)&~old(X))))&
(![X]:((~kind(X)|wise(X))=>funny(X)))&
(![X]:((brave(X... | ~calm(john) | [
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5149700396125093224822452
% SZS output start Proof for 5149700396125093224822452
4. ? [X0] : curious(X0) <=> (generous(mary) & ~old(mary)) [input p3]
5. ! [X0] : (~curious(X0) <=> (~old(X0) & ~generous(X0))) [input p4]
8. ! [X0] : (~old(X0) => (~calm(X0) & ~generous(X0))) [input p7]
22. c... | 0 |
If someone is either creative or not tall then fred is not humble or not generous and vice versa. If someone is old then paul is rich and vice versa. Everyone who is either not wise or not patient is both humble and not rich and vice versa. Everyone who is either not rich or not patient is not calm and vice versa. Ever... | Lucy is not quiet. | neutral | ((?[X]:((creative(X)<~>~tall(X))))<=>((~humble(fred)|~generous(fred))))&
((?[X]:(old(X)))<=>(rich(paul)))&
(![X]:((~wise(X)<~>~patient(X))<=>(humble(X)&~rich(X))))&
(![X]:((~rich(X)<~>~patient(X))<=>~calm(X)))&
(![X]:(~quiet(X)=>(~quiet(X)<~>~patient(X))))&
(![X]:((~wise(X)&kind(X))<=>(rich(X)<~>funny(X))))&
(![X]:((ta... | ~quiet(lucy) | [] | null | 0 |
If alice is both creative and tall then someone is funny and vice versa. If someone is both not curious and not tall then someone is either curious or not old and vice versa. Everyone who is not tall or not brave is both kind and curious. Everyone who is tall or happy is not brave or humble. If alice is not patient the... | Susan is not wise. | contradiction | (((creative(alice)&tall(alice)))<=>(?[X]:(funny(X))))&
((?[X]:((~curious(X)&~tall(X))))<=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((~tall(X)|~brave(X))=>(kind(X)&curious(X))))&
(![X]:((tall(X)|happy(X))=>(~brave(X)|humble(X))))&
((~patient(alice))<=>((~creative(mary)<~>brave(mary))))&
(![X]:((~strong(X)|~wise(X))<=>(ca... | ~wise(susan) | [
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3420489383466425852972488
% SZS output start Proof for 3420489383466425852972488
6. ! [X0] : ((~wise(X0) | ~strong(X0)) <=> (~humble(X0) & calm(X0))) [input p5]
7. ! [X0] : ((patient(X0) & ~funny(X0)) <=> (wise(X0) <~> ~wise(X0))) [input p6]
10. ! [X0] : ((funny(X0) <~> patient(X0)) => hu... | 0 |
Everyone who is not funny or not creative is either creative or calm and vice versa.
If someone is not wise or not kind then someone is either not creative or calm and vice versa.
Everyone who is either not quiet or not strong is both not curious and not brave.
Everyone who is quiet or not generous is not rich or funny... | Paul is wise. | neutral | (![X]:((~funny(X)|~creative(X))<=>(creative(X)<~>calm(X))))&
((?[X]:((~wise(X)|~kind(X))))<=>(?[X]:((~creative(X)<~>calm(X)))))&
(![X]:((~quiet(X)<~>~strong(X))=>(~curious(X)&~brave(X))))&
(![X]:((quiet(X)|~generous(X))<=>(~rich(X)|funny(X))))&
((?[X]:((~strong(X)&kind(X))))=>(brave(susan)))&
(![X]:((~old(X)<~>~happy(X... | wise(paul) | [] | null | 0 |
Everyone who is both curious and not curious is both not rich and brave. If john is not old then someone is both rich and not funny and vice versa. If susan is either not wise or funny then someone is either not strong or generous and vice versa. Everyone who is not kind is either not strong or not calm and vice versa.... | Susan is not generous. | neutral | (![X]:((curious(X)&~curious(X))=>(~rich(X)&brave(X))))&
((~old(john))<=>(?[X]:((rich(X)&~funny(X)))))&
(((~wise(susan)<~>funny(susan)))<=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:(~kind(X)<=>(~strong(X)<~>~calm(X))))&
(![X]:(~calm(X)=>humble(X)))&
(![X]:((~patient(X)&patient(X))<=>~tall(X)))&
(![X]:((patient(X)|happ... | ~generous(susan) | [] | null | 0 |
Everyone who is humble or not humble is not strong and vice versa.
Everyone who is either not calm or not kind is not calm.
Everyone who is either generous or calm is rich and vice versa.
If someone is either creative or strong then mary is not brave.
Everyone who is both humble and happy is either not kind or funny an... | Mary is not creative. | entailment | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:((~calm(X)<~>~kind(X))=>~calm(X)))&
(![X]:((generous(X)<~>calm(X))<=>rich(X)))&
((?[X]:((creative(X)<~>strong(X))))=>(~brave(mary)))&
(![X]:((humble(X)&happy(X))<=>(~kind(X)<~>funny(X))))&
(![X]:(~quiet(X)<=>(~brave(X)|~rich(X))))&
(![X]:(old(X)<=>(generous(X)|~old(X)... | ~creative(mary) | [
"p0",
"p3",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3235728904134376387720966
% SZS output start Proof for 3235728904134376387720966
1. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~strong(X0)) [input p0]
4. ? [X0] : (creative(X0) <~> strong(X0)) => ~brave(mary) [input p3]
6. ! [X0] : (~quiet(X0) <=> (~rich(X0) | ~brave(X0))) [input p5]
13. ? ... | 0 |
Everyone who is both kind and humble is quiet or humble and vice versa.
Everyone who is either funny or humble is either not funny or patient and vice versa.
Everyone who is both curious and patient is not patient or not quiet and vice versa.
Everyone who is either strong or not creative is tall or not tall.
If someone... | Lucy is quiet. | contradiction | (![X]:((kind(X)&humble(X))<=>(quiet(X)|humble(X))))&
(![X]:((funny(X)<~>humble(X))<=>(~funny(X)<~>patient(X))))&
(![X]:((curious(X)&patient(X))<=>(~patient(X)|~quiet(X))))&
(![X]:((strong(X)<~>~creative(X))=>(tall(X)|~tall(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~curious(X)|strong(X)))))&
(![X]:((~humble(X)<~>quiet(X))=>ol... | quiet(lucy) | [
"p0",
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 9126266135843178662763119
% SZS output start Proof for 9126266135843178662763119
1. ! [X0] : ((humble(X0) & kind(X0)) <=> (humble(X0) | quiet(X0))) [input p0]
2. ! [X0] : ((funny(X0) <~> humble(X0)) <=> (~funny(X0) <~> patient(X0))) [input p1]
3. ! [X0] : ((patient(X0) & curious(X0)) <=> ... | 0 |
If someone is calm or not quiet then someone is either not funny or curious.
If mary is not strong or tall then someone is not old or not calm and vice versa.
Everyone who is curious or funny is not creative or not funny and vice versa.
If someone is either patient or wise then someone is either creative or not curious... | Susan is not curious. | contradiction | ((?[X]:((calm(X)|~quiet(X))))=>(?[X]:((~funny(X)<~>curious(X)))))&
(((~strong(mary)|tall(mary)))<=>(?[X]:((~old(X)|~calm(X)))))&
(![X]:((curious(X)|funny(X))<=>(~creative(X)|~funny(X))))&
((?[X]:((patient(X)<~>wise(X))))<=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:((quiet(X)<~>~quiet(X))<=>~funny(X)))&
(![X]:((quiet... | ~curious(susan) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7547658009590961557688943
% SZS output start Proof for 7547658009590961557688943
3. ! [X0] : ((funny(X0) | curious(X0)) <=> (~funny(X0) | ~creative(X0))) [input p2]
5. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> ~funny(X0)) [input p4]
23. ~curious(susan) [input hypothesis]
49. ! [X0] : (((fu... | 0 |
Everyone who is either not patient or kind is not humble or brave and vice versa. Everyone who is not happy is generous and vice versa. If someone is not quiet then someone is quiet and vice versa. If someone is either not funny or not humble then someone is both not tall and quiet and vice versa. Everyone who is eithe... | Fred is patient. | entailment | (![X]:((~patient(X)<~>kind(X))<=>(~humble(X)|brave(X))))&
(![X]:(~happy(X)<=>generous(X)))&
((?[X]:(~quiet(X)))<=>(?[X]:(quiet(X))))&
((?[X]:((~funny(X)<~>~humble(X))))<=>(?[X]:((~tall(X)&quiet(X)))))&
(![X]:((~happy(X)<~>~patient(X))=>(wise(X)<~>~kind(X))))&
((?[X]:(wise(X)))<=>(?[X]:((patient(X)<~>~strong(X)))))&
(![... | patient(fred) | [
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5154114453696521831308000
% SZS output start Proof for 5154114453696521831308000
9. ! [X0] : (~patient(X0) => creative(X0)) [input p8]
17. ~creative(fred) [input p16]
24. ~patient(fred) [input hypothesis]
30. ! [X0] : (creative(X0) | patient(X0)) [ennf transformation 9]
115. creative(X0) ... | 0 |
Everyone who is not happy is curious and vice versa.
Everyone who is either generous or not old is either tall or calm and vice versa.
If someone is creative then alice is generous or strong.
If john is either humble or funny then paul is both not rich and not calm.
If someone is both not patient and not happy then sus... | John is not generous. | neutral | (![X]:(~happy(X)<=>curious(X)))&
(![X]:((generous(X)<~>~old(X))<=>(tall(X)<~>calm(X))))&
((?[X]:(creative(X)))=>((generous(alice)|strong(alice))))&
(((humble(john)<~>funny(john)))=>((~rich(paul)&~calm(paul))))&
((?[X]:((~patient(X)&~happy(X))))=>((generous(susan)|~funny(susan))))&
(![X]:(~strong(X)<=>(~happy(X)&~calm(X... | ~generous(john) | [] | null | 0 |
Everyone who is both creative and not old is both curious and wise.
Everyone who is both old and humble is not calm or kind and vice versa.
Everyone who is not curious or not creative is not brave or happy.
If someone is either patient or wise then someone is either not kind or kind and vice versa.
If alice is not old ... | Mary is rich. | contradiction | (![X]:((creative(X)&~old(X))=>(curious(X)&wise(X))))&
(![X]:((old(X)&humble(X))<=>(~calm(X)|kind(X))))&
(![X]:((~curious(X)|~creative(X))=>(~brave(X)|happy(X))))&
((?[X]:((patient(X)<~>wise(X))))<=>(?[X]:((~kind(X)<~>kind(X)))))&
((~old(alice))<=>((~tall(paul)<~>~curious(paul))))&
(![X]:((~old(X)<~>~tall(X))<=>(~patien... | rich(mary) | [
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2626847898590688283780526
% SZS output start Proof for 2626847898590688283780526
8. ! [X0] : ((rich(X0) <~> ~kind(X0)) => (~rich(X0) & ~patient(X0))) [input p7]
13. ! [X0] : ((~calm(X0) <~> rich(X0)) => kind(X0)) [input p12]
15. ! [X0] : (~calm(X0) <=> (tall(X0) & ~rich(X0))) [input p14]
... | 0 |
Everyone who is both strong and not curious is not creative and vice versa. Everyone who is curious or quiet is both kind and wise. Everyone who is not creative or creative is funny or not kind. If someone is either wise or old then someone is both not old and generous and vice versa. Everyone who is old or rich is not... | Susan is not patient. | neutral | (![X]:((strong(X)&~curious(X))<=>~creative(X)))&
(![X]:((curious(X)|quiet(X))=>(kind(X)&wise(X))))&
(![X]:((~creative(X)|creative(X))=>(funny(X)|~kind(X))))&
((?[X]:((wise(X)<~>old(X))))<=>(?[X]:((~old(X)&generous(X)))))&
(![X]:((old(X)|rich(X))<=>~tall(X)))&
(((~tall(john)&happy(john)))=>(?[X]:((tall(X)<~>~kind(X)))))... | ~patient(susan) | [] | null | 0 |
Everyone who is both not funny and creative is not patient. If alice is both not generous and strong then someone is either wise or not brave and vice versa. If paul is not creative or not generous then john is both not old and not curious and vice versa. Everyone who is not happy is not funny and vice versa. Everyone ... | Susan is not curious. | contradiction | (![X]:((~funny(X)&creative(X))=>~patient(X)))&
(((~generous(alice)&strong(alice)))<=>(?[X]:((wise(X)<~>~brave(X)))))&
(((~creative(paul)|~generous(paul)))<=>((~old(john)&~curious(john))))&
(![X]:(~happy(X)<=>~funny(X)))&
(![X]:((~tall(X)<~>patient(X))<=>(~funny(X)&rich(X))))&
(![X]:((strong(X)&~wise(X))<=>~happy(X)))&
... | ~curious(susan) | [
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3478284485269829897302296
% SZS output start Proof for 3478284485269829897302296
5. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> (rich(X0) & ~funny(X0))) [input p4]
6. ! [X0] : ((~wise(X0) & strong(X0)) <=> ~happy(X0)) [input p5]
7. ! [X0] : ((strong(X0) <~> happy(X0)) => tall(X0)) [input p6... | 0 |
Everyone who is calm or humble is tall.
If someone is either funny or not kind then john is not generous and vice versa.
Everyone who is either calm or creative is either humble or not curious.
If someone is happy or not strong then someone is curious or not brave.
Everyone who is both calm and not creative is both ric... | Paul is creative. | neutral | (![X]:((calm(X)|humble(X))=>tall(X)))&
((?[X]:((funny(X)<~>~kind(X))))<=>(~generous(john)))&
(![X]:((calm(X)<~>creative(X))=>(humble(X)<~>~curious(X))))&
((?[X]:((happy(X)|~strong(X))))=>(?[X]:((curious(X)|~brave(X)))))&
(![X]:((calm(X)&~creative(X))=>(rich(X)&happy(X))))&
((~old(paul))<=>(quiet(mary)))&
((?[X]:(~patie... | creative(paul) | [] | null | 0 |
Everyone who is both strong and not creative is generous or not quiet. If someone is funny or not generous then john is both strong and not creative. If susan is calm then someone is not humble and vice versa. Everyone who is either not rich or not old is old or kind. Everyone who is not generous is happy or generous a... | Susan is not strong. | neutral | (![X]:((strong(X)&~creative(X))=>(generous(X)|~quiet(X))))&
((?[X]:((funny(X)|~generous(X))))=>((strong(john)&~creative(john))))&
((calm(susan))<=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>~old(X))=>(old(X)|kind(X))))&
(![X]:(~generous(X)<=>(happy(X)|generous(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((~strong(X... | ~strong(susan) | [] | null | 0 |
Everyone who is either not calm or funny is both not generous and not kind and vice versa.
If someone is both funny and not tall then someone is funny or happy.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who ... | Alice is patient. | contradiction | (![X]:((~calm(X)<~>funny(X))<=>(~generous(X)&~kind(X))))&
((?[X]:((funny(X)&~tall(X))))=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~k... | patient(alice) | [
"p5",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3371374462579090181694362
% SZS output start Proof for 3371374462579090181694362
6. ! [X0] : ((~brave(X0) | happy(X0)) => ~kind(X0)) [input p5]
9. (happy(alice) <~> calm(alice)) => (quiet(susan) & ~quiet(susan)) [input p8]
11. ! [X0] : (~old(X0) => (~patient(X0) & funny(X0))) [input p10]
... | 0 |
Everyone who is not creative is not humble or patient.
Everyone who is not funny or not happy is either not kind or quiet and vice versa.
Everyone who is both brave and not calm is both not curious and not creative.
Everyone who is both rich and not kind is both generous and quiet and vice versa.
If someone is rich the... | Fred is tall. | neutral | (![X]:(~creative(X)=>(~humble(X)|patient(X))))&
(![X]:((~funny(X)|~happy(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((brave(X)&~calm(X))=>(~curious(X)&~creative(X))))&
(![X]:((rich(X)&~kind(X))<=>(generous(X)&quiet(X))))&
((?[X]:(rich(X)))=>(?[X]:(~patient(X))))&
(![X]:(old(X)=>(~funny(X)<~>quiet(X))))&
((~happy(paul))<=>((~... | tall(fred) | [] | null | 0 |
Everyone who is strong is not humble or funny.
Everyone who is both creative and strong is curious and vice versa.
Everyone who is either wise or not old is generous or not patient and vice versa.
If alice is not quiet then paul is either not rich or happy and vice versa.
Everyone who is not humble is either not genero... | Mary is not humble. | neutral | (![X]:(strong(X)=>(~humble(X)|funny(X))))&
(![X]:((creative(X)&strong(X))<=>curious(X)))&
(![X]:((wise(X)<~>~old(X))<=>(generous(X)|~patient(X))))&
((~quiet(alice))<=>((~rich(paul)<~>happy(paul))))&
(![X]:(~humble(X)<=>(~generous(X)<~>~patient(X))))&
((?[X]:((~strong(X)<~>tall(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~t... | ~humble(mary) | [] | null | 0 |
Everyone who is rich or old is both not humble and not wise. Everyone who is either not patient or not happy is either calm or not rich. If someone is not strong or not rich then john is not curious or not creative. If paul is both wise and happy then someone is either not tall or generous and vice versa. If someone is... | John is kind. | neutral | (![X]:((rich(X)|old(X))=>(~humble(X)&~wise(X))))&
(![X]:((~patient(X)<~>~happy(X))=>(calm(X)<~>~rich(X))))&
((?[X]:((~strong(X)|~rich(X))))=>((~curious(john)|~creative(john))))&
(((wise(paul)&happy(paul)))<=>(?[X]:((~tall(X)<~>generous(X)))))&
((?[X]:((strong(X)&~rich(X))))<=>((~strong(alice)&~calm(alice))))&
(![X]:((p... | kind(john) | [] | null | 0 |
If someone is either quiet or not strong then someone is old or not wise and vice versa.
Everyone who is not happy is either not wise or not curious.
Everyone who is funny is both not old and humble and vice versa.
Everyone who is strong is either patient or not rich and vice versa.
Everyone who is either not old or no... | John is not tall. | entailment | ((?[X]:((quiet(X)<~>~strong(X))))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:(~happy(X)=>(~wise(X)<~>~curious(X))))&
(![X]:(funny(X)<=>(~old(X)&humble(X))))&
(![X]:(strong(X)<=>(patient(X)<~>~rich(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(~rich(X)|wise(X))))&
((?[X]:((old(X)|rich(X))))=>((~generous(mary)|~kind(mary))))&
((creat... | ~tall(john) | [
"p2",
"p3",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7106371006194320269920877
% SZS output start Proof for 7106371006194320269920877
3. ! [X0] : (funny(X0) <=> (humble(X0) & ~old(X0))) [input p2]
4. ! [X0] : (strong(X0) <=> (patient(X0) <~> ~rich(X0))) [input p3]
8. ! [X0] : ((~patient(X0) | strong(X0)) <=> (curious(X0) | ~rich(X0))) [inpu... | 0 |
Everyone who is either not calm or quiet is both old and kind.
Everyone who is either creative or not creative is both patient and not curious.
If paul is both rich and not brave then mary is both not old and generous and vice versa.
Everyone who is brave is humble or calm.
If fred is both quiet and patient then someon... | John is creative. | contradiction | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&kind(X))))&
(![X]:((creative(X)<~>~creative(X))=>(patient(X)&~curious(X))))&
(((rich(paul)&~brave(paul)))<=>((~old(mary)&generous(mary))))&
(![X]:(brave(X)=>(humble(X)|calm(X))))&
(((quiet(fred)&patient(fred)))<=>(?[X]:((creative(X)&calm(X)))))&
(![X]:((wise(X)|~kind(X))<=>(rich(X)... | creative(john) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5374134076328187705292826
% SZS output start Proof for 5374134076328187705292826
2. ! [X0] : ((creative(X0) <~> ~creative(X0)) => (~curious(X0) & patient(X0))) [input p1]
5. (patient(fred) & quiet(fred)) <=> ? [X0] : (calm(X0) & creative(X0)) [input p4]
6. ! [X0] : ((~kind(X0) | wise(X0))... | 0 |
Everyone who is both not rich and tall is quiet and vice versa.
If fred is both brave and not brave then someone is both not quiet and generous and vice versa.
Everyone who is both happy and patient is either funny or generous and vice versa.
Everyone who is both quiet and not funny is both tall and quiet and vice vers... | Susan is not kind. | neutral | (![X]:((~rich(X)&tall(X))<=>quiet(X)))&
(((brave(fred)&~brave(fred)))<=>(?[X]:((~quiet(X)&generous(X)))))&
(![X]:((happy(X)&patient(X))<=>(funny(X)<~>generous(X))))&
(![X]:((quiet(X)&~funny(X))<=>(tall(X)&quiet(X))))&
(((brave(mary)|~tall(mary)))=>((wise(fred)&~tall(fred))))&
((?[X]:((~happy(X)&funny(X))))=>(~generous(... | ~kind(susan) | [] | null | 0 |
If alice is not rich or not quiet then fred is generous or strong and vice versa.
If mary is not brave or not patient then lucy is both not calm and not funny and vice versa.
If susan is both patient and calm then someone is both old and curious and vice versa.
Everyone who is both not strong and creative is not humble... | Lucy is tall. | contradiction | (((~rich(alice)|~quiet(alice)))<=>((generous(fred)|strong(fred))))&
(((~brave(mary)|~patient(mary)))<=>((~calm(lucy)&~funny(lucy))))&
(((patient(susan)&calm(susan)))<=>(?[X]:((old(X)&curious(X)))))&
(![X]:((~strong(X)&creative(X))<=>(~humble(X)|patient(X))))&
(((creative(john)&~calm(john)))<=>((calm(lucy)<~>~rich(lucy)... | tall(lucy) | [
"p1",
"p3",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2425920601223453854661177
% SZS output start Proof for 2425920601223453854661177
2. (~patient(mary) | ~brave(mary)) <=> (~funny(lucy) & ~calm(lucy)) [input p1]
4. ! [X0] : ((creative(X0) & ~strong(X0)) <=> (patient(X0) | ~humble(X0))) [input p3]
12. ! [X0] : ((tall(X0) | creative(X0)) <=>... | 0 |
Everyone who is either not patient or kind is either not generous or quiet.
If alice is not happy then someone is either curious or not brave and vice versa.
If someone is both old and not kind then someone is not curious or generous and vice versa.
If someone is either creative or quiet then someone is not old and vic... | Alice is not humble. | contradiction | (![X]:((~patient(X)<~>kind(X))=>(~generous(X)<~>quiet(X))))&
((~happy(alice))<=>(?[X]:((curious(X)<~>~brave(X)))))&
((?[X]:((old(X)&~kind(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((creative(X)<~>quiet(X))))<=>(?[X]:(~old(X))))&
(![X]:(~wise(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~patient(X)=>(~calm(X)<~>~qui... | ~humble(alice) | [
"p1",
"p7",
"p8",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4921850262170633991794989
% SZS output start Proof for 4921850262170633991794989
2. ~happy(alice) <=> ? [X0] : (curious(X0) <~> ~brave(X0)) [input p1]
8. ! [X0] : (wise(X0) <=> (wise(X0) <~> ~wise(X0))) [input p7]
9. ! [X0] : (curious(X0) <=> (~happy(X0) | ~curious(X0))) [input p8]
16. ! ... | 0 |
If alice is either old or not tall then someone is both patient and not happy.
If someone is not wise or not quiet then john is both calm and creative and vice versa.
Everyone who is both not humble and happy is both not happy and brave.
If mary is not brave then someone is either not happy or strong and vice versa.
Ev... | John is not creative. | neutral | (((old(alice)<~>~tall(alice)))=>(?[X]:((patient(X)&~happy(X)))))&
((?[X]:((~wise(X)|~quiet(X))))<=>((calm(john)&creative(john))))&
(![X]:((~humble(X)&happy(X))=>(~happy(X)&brave(X))))&
((~brave(mary))<=>(?[X]:((~happy(X)<~>strong(X)))))&
(![X]:((brave(X)|~brave(X))<=>strong(X)))&
(![X]:((wise(X)<~>strong(X))<=>(rich(X)... | ~creative(john) | [] | null | 0 |
Everyone who is either humble or calm is not brave and vice versa. If someone is not tall then mary is either calm or not rich and vice versa. Everyone who is generous or not kind is happy or not tall. Everyone who is funny or not generous is both not happy and patient. Everyone who is either kind or not funny is eithe... | Fred is not old. | contradiction | (![X]:((humble(X)<~>calm(X))<=>~brave(X)))&
((?[X]:(~tall(X)))<=>((calm(mary)<~>~rich(mary))))&
(![X]:((generous(X)|~kind(X))=>(happy(X)|~tall(X))))&
(![X]:((funny(X)|~generous(X))=>(~happy(X)&patient(X))))&
(![X]:((kind(X)<~>~funny(X))<=>(~calm(X)<~>strong(X))))&
((?[X]:((creative(X)&kind(X))))=>(?[X]:((~wise(X)<~>~cr... | ~old(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8542081467077425575461885
% SZS output start Proof for 8542081467077425575461885
7. ! [X0] : ((~old(X0) | ~rich(X0)) <=> (quiet(X0) & old(X0))) [input p6]
23. ~old(fred) [input hypothesis]
44. ! [X0] : (((~old(X0) | ~rich(X0)) | (~quiet(X0) | ~old(X0))) & ((quiet(X0) & old(X0)) | (old(X0)... | 0 |
If someone is either quiet or not patient then someone is either not creative or quiet and vice versa. If john is both not generous and wise then fred is either not creative or not generous and vice versa. Everyone who is not strong or not brave is either not quiet or happy and vice versa. Everyone who is both patient ... | Mary is not curious. | neutral | ((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(((~generous(john)&wise(john)))<=>((~creative(fred)<~>~generous(fred))))&
(![X]:((~strong(X)|~brave(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:((patient(X)&~old(X))<=>(rich(X)<~>humble(X))))&
(![X]:((patient(X)|happy(X))<=>(strong(X)|~curious(X))))&
(... | ~curious(mary) | [] | null | 0 |
If someone is both rich and happy then someone is not brave and vice versa. If someone is either creative or brave then lucy is both not quiet and tall and vice versa. If someone is calm or not tall then john is both brave and tall and vice versa. Everyone who is rich or not old is both not curious and not wise and vic... | Paul is happy. | neutral | ((?[X]:((rich(X)&happy(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((creative(X)<~>brave(X))))<=>((~quiet(lucy)&tall(lucy))))&
((?[X]:((calm(X)|~tall(X))))<=>((brave(john)&tall(john))))&
(![X]:((rich(X)|~old(X))<=>(~curious(X)&~wise(X))))&
(![X]:((~kind(X)&~strong(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~happy(X)=>brave(X)))&
(![... | happy(paul) | [] | null | 0 |
If someone is both kind and old then mary is either tall or happy.
If lucy is both calm and not calm then mary is both tall and not rich and vice versa.
Everyone who is not quiet or creative is either not tall or not patient.
If someone is both not creative and brave then fred is strong.
Everyone who is not quiet is bo... | Fred is quiet. | entailment | ((?[X]:((kind(X)&old(X))))=>((tall(mary)<~>happy(mary))))&
(((calm(lucy)&~calm(lucy)))<=>((tall(mary)&~rich(mary))))&
(![X]:((~quiet(X)|creative(X))=>(~tall(X)<~>~patient(X))))&
((?[X]:((~creative(X)&brave(X))))=>(strong(fred)))&
(![X]:(~quiet(X)=>(patient(X)&humble(X))))&
(((patient(susan)&humble(susan)))<=>(?[X]:(~ca... | quiet(fred) | [
"p2",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8128785853281369304990310
% SZS output start Proof for 8128785853281369304990310
3. ! [X0] : ((creative(X0) | ~quiet(X0)) => (~tall(X0) <~> ~patient(X0))) [input p2]
5. ! [X0] : (~quiet(X0) => (humble(X0) & patient(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) | ~strong(X0)) <=> tall(X0)) [in... | 0 |
Everyone who is not quiet or kind is both not patient and not creative.
Everyone who is not rich or quiet is calm or tall.
Everyone who is both happy and not old is both wise and funny and vice versa.
If someone is either not quiet or kind then someone is either not calm or brave.
Everyone who is both not funny and str... | John is not brave. | entailment | (![X]:((~quiet(X)|kind(X))=>(~patient(X)&~creative(X))))&
(![X]:((~rich(X)|quiet(X))=>(calm(X)|tall(X))))&
(![X]:((happy(X)&~old(X))<=>(wise(X)&funny(X))))&
((?[X]:((~quiet(X)<~>kind(X))))=>(?[X]:((~calm(X)<~>brave(X)))))&
(![X]:((~funny(X)&strong(X))<=>(tall(X)<~>quiet(X))))&
((creative(john))=>(?[X]:((kind(X)&strong(... | ~brave(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 536213790167653196525680
% SZS output start Proof for 536213790167653196525680
16. ! [X0] : (calm(X0) <=> (brave(X0) <~> calm(X0))) [input p15]
25. brave(john) [input hypothesis]
73. ! [X0] : ((calm(X0) | ((brave(X0) | ~calm(X0)) & (calm(X0) | ~brave(X0)))) & (((~calm(X0) | ~brave(X0)) & ... | 0 |
Everyone who is not patient or not creative is curious or funny. Everyone who is both happy and calm is both not brave and not tall. Everyone who is strong is both calm and generous. Everyone who is both calm and tall is not generous. Everyone who is not brave is both not funny and not calm. If someone is both not gene... | Paul is not calm. | contradiction | (![X]:((~patient(X)|~creative(X))=>(curious(X)|funny(X))))&
(![X]:((happy(X)&calm(X))=>(~brave(X)&~tall(X))))&
(![X]:(strong(X)=>(calm(X)&generous(X))))&
(![X]:((calm(X)&tall(X))=>~generous(X)))&
(![X]:(~brave(X)=>(~funny(X)&~calm(X))))&
((?[X]:((~generous(X)&humble(X))))<=>((quiet(john)&generous(john))))&
(![X]:((happ... | ~calm(paul) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5204337558754911910270664
% SZS output start Proof for 5204337558754911910270664
3. ! [X0] : (strong(X0) => (generous(X0) & calm(X0))) [input p2]
13. ! [X0] : (~strong(X0) => calm(X0)) [input p12]
23. ~calm(paul) [input hypothesis]
33. ! [X0] : ((generous(X0) & calm(X0)) | ~strong(X0)) [e... | 0 |
Everyone who is both not rich and wise is either not wise or not humble.
Everyone who is both not humble and not happy is funny or not calm.
Everyone who is not rich is either patient or humble and vice versa.
Everyone who is old is quiet and vice versa.
Everyone who is either not creative or calm is both tall and not ... | Susan is not creative. | neutral | (![X]:((~rich(X)&wise(X))=>(~wise(X)<~>~humble(X))))&
(![X]:((~humble(X)&~happy(X))=>(funny(X)|~calm(X))))&
(![X]:(~rich(X)<=>(patient(X)<~>humble(X))))&
(![X]:(old(X)<=>quiet(X)))&
(![X]:((~creative(X)<~>calm(X))<=>(tall(X)&~wise(X))))&
(![X]:((kind(X)|old(X))<=>(~wise(X)|calm(X))))&
(![X]:((~humble(X)&strong(X))=>(~c... | ~creative(susan) | [] | null | 0 |
Everyone who is not kind is happy or not rich.
If someone is tall or not creative then paul is not tall or brave and vice versa.
If alice is either not patient or curious then someone is either calm or rich and vice versa.
Everyone who is either not patient or creative is either not old or wise.
Everyone who is either ... | Susan is not brave. | contradiction | (![X]:(~kind(X)=>(happy(X)|~rich(X))))&
((?[X]:((tall(X)|~creative(X))))<=>((~tall(paul)|brave(paul))))&
(((~patient(alice)<~>curious(alice)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~patient(X)<~>creative(X))=>(~old(X)<~>wise(X))))&
(![X]:((~kind(X)<~>brave(X))<=>brave(X)))&
(![X]:((calm(X)<~>~old(X))=>~funny(X)))&
(... | ~brave(susan) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 819798509066684979114558
% SZS output start Proof for 819798509066684979114558
9. ! [X0] : ((~generous(X0) & humble(X0)) <=> ~patient(X0)) [input p8]
11. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> (generous(X0) & ~patient(X0))) [input p10]
25. ~brave(susan) [input hypothesis]
51. ! [X0] : (... | 0 |
If someone is generous then susan is not creative or curious.
If someone is not quiet then fred is either not wise or not generous and vice versa.
If someone is both not brave and brave then someone is calm.
If alice is humble or curious then john is either not kind or not calm and vice versa.
Everyone who is happy is ... | Fred is not generous. | contradiction | ((?[X]:(generous(X)))=>((~creative(susan)|curious(susan))))&
((?[X]:(~quiet(X)))<=>((~wise(fred)<~>~generous(fred))))&
((?[X]:((~brave(X)&brave(X))))=>(?[X]:(calm(X))))&
(((humble(alice)|curious(alice)))<=>((~kind(john)<~>~calm(john))))&
(![X]:(happy(X)=>humble(X)))&
((?[X]:(~creative(X)))=>(tall(susan)))&
((~kind(susa... | ~generous(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4189794348411836809536080
% SZS output start Proof for 4189794348411836809536080
21. patient(fred) & generous(fred) [input p20]
24. ~generous(fred) [input hypothesis]
128. generous(fred) [cnf transformation 21]
132. ~generous(fred) [cnf transformation 24]
146. 4 <=> generous(fred) [avatar... | 0 |
Everyone who is either not patient or patient is both not wise and happy and vice versa.
If mary is both creative and not patient then someone is either creative or not patient and vice versa.
If mary is not calm then susan is kind and vice versa.
Everyone who is not kind or not calm is both brave and not old.
If someo... | John is tall. | contradiction | (![X]:((~patient(X)<~>patient(X))<=>(~wise(X)&happy(X))))&
(((creative(mary)&~patient(mary)))<=>(?[X]:((creative(X)<~>~patient(X)))))&
((~calm(mary))<=>(kind(susan)))&
(![X]:((~kind(X)|~calm(X))=>(brave(X)&~old(X))))&
((?[X]:((brave(X)<~>strong(X))))=>(?[X]:(brave(X))))&
(((rich(susan)<~>old(susan)))=>(?[X]:((happy(X)&... | tall(john) | [
"p0",
"p6",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2779870269868551392371210
% SZS output start Proof for 2779870269868551392371210
1. ! [X0] : ((~patient(X0) <~> patient(X0)) <=> (happy(X0) & ~wise(X0))) [input p0]
7. ? [X0] : (tall(X0) & ~calm(X0)) => ? [X0] : ~patient(X0) [input p6]
8. ? [X0] : (tall(X0) & calm(X0)) => ? [X0] : (humble... | 0 |
Everyone who is creative or brave is either not tall or old and vice versa. If someone is either curious or not creative then someone is not funny. Everyone who is not quiet is not curious or not funny. Everyone who is both creative and humble is either not kind or not tall. If someone is not curious or creative then s... | Paul is not old. | contradiction | (![X]:((creative(X)|brave(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((curious(X)<~>~creative(X))))=>(?[X]:(~funny(X))))&
(![X]:(~quiet(X)=>(~curious(X)|~funny(X))))&
(![X]:((creative(X)&humble(X))=>(~kind(X)<~>~tall(X))))&
((?[X]:((~curious(X)|creative(X))))<=>((~creative(susan)&~quiet(susan))))&
(((~strong(fred)&patient(fre... | ~old(paul) | [
"p8",
"p14",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 595538603366149082569973
% SZS output start Proof for 595538603366149082569973
9. ! [X0] : ((~wise(X0) | kind(X0)) <=> (~strong(X0) & wise(X0))) [input p8]
15. ! [X0] : ((old(X0) <~> funny(X0)) => (creative(X0) <~> wise(X0))) [input p14]
17. funny(paul) [input p16]
23. creative(paul) [inp... | 0 |
Everyone who is patient or kind is either not patient or generous and vice versa.
Everyone who is not humble is curious or creative and vice versa.
If mary is both not wise and generous then susan is not kind.
Everyone who is not wise or kind is not humble and vice versa.
Everyone who is either curious or not generous ... | Paul is not patient. | contradiction | (![X]:((patient(X)|kind(X))<=>(~patient(X)<~>generous(X))))&
(![X]:(~humble(X)<=>(curious(X)|creative(X))))&
(((~wise(mary)&generous(mary)))=>(~kind(susan)))&
(![X]:((~wise(X)|kind(X))<=>~humble(X)))&
(![X]:((curious(X)<~>~generous(X))=>~tall(X)))&
(![X]:((wise(X)&~happy(X))=>~funny(X)))&
(![X]:((patient(X)&~funny(X))=... | ~patient(paul) | [
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7871840636220417520632119
% SZS output start Proof for 7871840636220417520632119
8. (~patient(john) & patient(john)) <=> ? [X0] : wise(X0) [input p7]
11. ! [X0] : ((~wise(X0) & brave(X0)) <=> (brave(X0) <~> funny(X0))) [input p10]
19. patient(paul) <~> funny(paul) [input p18]
23. ~patient... | 0 |
If alice is both curious and patient then lucy is tall or not wise and vice versa.
Everyone who is either not curious or not creative is both not curious and curious.
Everyone who is both patient and old is both not wise and funny.
If mary is both kind and quiet then paul is not old or not creative.
Everyone who is eit... | Mary is curious. | entailment | (((curious(alice)&patient(alice)))<=>((tall(lucy)|~wise(lucy))))&
(![X]:((~curious(X)<~>~creative(X))=>(~curious(X)&curious(X))))&
(![X]:((patient(X)&old(X))=>(~wise(X)&funny(X))))&
(((kind(mary)&quiet(mary)))=>((~old(paul)|~creative(paul))))&
(![X]:((curious(X)<~>~rich(X))=>patient(X)))&
(![X]:((~funny(X)<~>~happy(X))... | curious(mary) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4719104573356127006243190
% SZS output start Proof for 4719104573356127006243190
2. ! [X0] : ((~curious(X0) <~> ~creative(X0)) => (curious(X0) & ~curious(X0))) [input p1]
20. creative(mary) & ~calm(mary) [input p19]
24. ~curious(mary) [input hypothesis]
25. ! [X0] : ((curious(X0) & ~curio... | 0 |
If fred is not quiet then someone is both tall and not creative and vice versa.
Everyone who is creative or not creative is both not curious and not funny.
Everyone who is happy is wise.
Everyone who is rich or not funny is happy or generous.
Everyone who is not tall is either not old or not calm and vice versa.
If sus... | Paul is creative. | neutral | ((~quiet(fred))<=>(?[X]:((tall(X)&~creative(X)))))&
(![X]:((creative(X)|~creative(X))=>(~curious(X)&~funny(X))))&
(![X]:(happy(X)=>wise(X)))&
(![X]:((rich(X)|~funny(X))=>(happy(X)|generous(X))))&
(![X]:(~tall(X)<=>(~old(X)<~>~calm(X))))&
(((wise(susan)&patient(susan)))<=>(?[X]:((creative(X)|brave(X)))))&
(((happy(susan... | creative(paul) | [] | null | 0 |
Everyone who is either not rich or not creative is both humble and not tall and vice versa. Everyone who is tall or not old is both not curious and not strong. Everyone who is both creative and strong is not patient or not creative. If someone is generous then alice is either happy or funny and vice versa. If fred is n... | Alice is not quiet. | entailment | (![X]:((~rich(X)<~>~creative(X))<=>(humble(X)&~tall(X))))&
(![X]:((tall(X)|~old(X))=>(~curious(X)&~strong(X))))&
(![X]:((creative(X)&strong(X))=>(~patient(X)|~creative(X))))&
((?[X]:(generous(X)))<=>((happy(alice)<~>funny(alice))))&
(((~calm(fred)|funny(fred)))<=>((~creative(mary)&~kind(mary))))&
(![X]:((kind(X)&~rich(... | ~quiet(alice) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2801019602544436514107940
% SZS output start Proof for 2801019602544436514107940
6. ! [X0] : ((~rich(X0) & kind(X0)) <=> (quiet(X0) | ~generous(X0))) [input p5]
15. ! [X0] : ((~calm(X0) <~> calm(X0)) => (kind(X0) <~> ~rich(X0))) [input p14]
25. quiet(alice) [input hypothesis]
35. ! [X0] :... | 0 |
If someone is both not happy and strong then alice is both not patient and brave and vice versa. Everyone who is old is funny and vice versa. If john is funny then lucy is not generous or not humble and vice versa. Everyone who is both not generous and not curious is both happy and not patient and vice versa. Everyone ... | Mary is not humble. | entailment | ((?[X]:((~happy(X)&strong(X))))<=>((~patient(alice)&brave(alice))))&
(![X]:(old(X)<=>funny(X)))&
((funny(john))<=>((~generous(lucy)|~humble(lucy))))&
(![X]:((~generous(X)&~curious(X))<=>(happy(X)&~patient(X))))&
(![X]:((brave(X)|~happy(X))=>(kind(X)&~calm(X))))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)... | ~humble(mary) | [
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5572890442474663992199150
% SZS output start Proof for 5572890442474663992199150
7. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p6]
9. ! [X0] : (~rich(X0) <=> (calm(X0) & ~calm(X0))) [input p8]
10. ? [X0] : (brave(X0) | humble(X0)) => ? [X0] : ~rich(X0) [input p9]
22. h... | 0 |
If john is both not funny and not brave then mary is not tall.
Everyone who is both strong and humble is patient.
Everyone who is not patient or not quiet is either not kind or happy.
If alice is not kind then someone is tall and vice versa.
Everyone who is quiet or curious is not old.
If mary is both not curious and s... | Alice is not happy. | entailment | (((~funny(john)&~brave(john)))=>(~tall(mary)))&
(![X]:((strong(X)&humble(X))=>patient(X)))&
(![X]:((~patient(X)|~quiet(X))=>(~kind(X)<~>happy(X))))&
((~kind(alice))<=>(?[X]:(tall(X))))&
(![X]:((quiet(X)|curious(X))=>~old(X)))&
(((~curious(mary)&strong(mary)))<=>(?[X]:((quiet(X)&generous(X)))))&
(![X]:((~kind(X)|funny(X... | ~happy(alice) | [
"p2",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3691911334086668580941726
% SZS output start Proof for 3691911334086668580941726
3. ! [X0] : ((~quiet(X0) | ~patient(X0)) => (~kind(X0) <~> happy(X0))) [input p2]
7. ! [X0] : ((funny(X0) | ~kind(X0)) <=> (brave(X0) & ~patient(X0))) [input p6]
10. ! [X0] : ((funny(X0) & kind(X0)) <=> ~funn... | 0 |
Everyone who is both curious and wise is not wise.
Everyone who is either not old or wise is both old and not funny and vice versa.
Everyone who is both not old and not wise is both generous and brave.
If alice is either not patient or kind then someone is either not brave or not happy and vice versa.
If someone is eit... | Mary is not curious. | entailment | (![X]:((curious(X)&wise(X))=>~wise(X)))&
(![X]:((~old(X)<~>wise(X))<=>(old(X)&~funny(X))))&
(![X]:((~old(X)&~wise(X))=>(generous(X)&brave(X))))&
(((~patient(alice)<~>kind(alice)))<=>(?[X]:((~brave(X)<~>~happy(X)))))&
((?[X]:((~quiet(X)<~>quiet(X))))=>((~patient(fred)&~funny(fred))))&
(![X]:((kind(X)|rich(X))=>quiet(X))... | ~curious(mary) | [
"p0",
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5463188357163810137461719
% SZS output start Proof for 5463188357163810137461719
1. ! [X0] : ((wise(X0) & curious(X0)) => ~wise(X0)) [input p0]
2. ! [X0] : ((~old(X0) <~> wise(X0)) <=> (~funny(X0) & old(X0))) [input p1]
20. ~funny(mary) [input p19]
23. curious(mary) [input hypothesis]
25.... | 0 |
Everyone who is funny is not generous.
Everyone who is wise is not happy and vice versa.
Everyone who is not quiet is not generous or wise.
Everyone who is strong is both creative and calm.
Everyone who is strong is strong or not patient.
If john is brave or not funny then someone is quiet or not quiet.
If john is not ... | John is not quiet. | neutral | (![X]:(funny(X)=>~generous(X)))&
(![X]:(wise(X)<=>~happy(X)))&
(![X]:(~quiet(X)=>(~generous(X)|wise(X))))&
(![X]:(strong(X)=>(creative(X)&calm(X))))&
(![X]:(strong(X)=>(strong(X)|~patient(X))))&
(((brave(john)|~funny(john)))=>(?[X]:((quiet(X)|~quiet(X)))))&
((~calm(john))=>((~kind(alice)|old(alice))))&
(![X]:((tall(X)&... | ~quiet(john) | [] | null | 0 |
Everyone who is both not calm and humble is both not wise and quiet and vice versa.
If someone is not wise or not old then fred is either creative or not brave and vice versa.
If alice is not calm or not happy then john is patient.
Everyone who is not generous is quiet or not kind and vice versa.
If someone is happy th... | Lucy is patient. | neutral | (![X]:((~calm(X)&humble(X))<=>(~wise(X)&quiet(X))))&
((?[X]:((~wise(X)|~old(X))))<=>((creative(fred)<~>~brave(fred))))&
(((~calm(alice)|~happy(alice)))=>(patient(john)))&
(![X]:(~generous(X)<=>(quiet(X)|~kind(X))))&
((?[X]:(happy(X)))<=>(?[X]:((kind(X)<~>funny(X)))))&
(![X]:(~curious(X)<=>(~curious(X)<~>funny(X))))&
(!... | patient(lucy) | [] | null | 0 |
If alice is curious or generous then paul is not rich or not wise and vice versa. Everyone who is either not old or generous is both not old and not quiet and vice versa. Everyone who is both rich and not curious is curious and vice versa. If paul is both not happy and rich then someone is either generous or not rich. ... | Mary is humble. | neutral | (((curious(alice)|generous(alice)))<=>((~rich(paul)|~wise(paul))))&
(![X]:((~old(X)<~>generous(X))<=>(~old(X)&~quiet(X))))&
(![X]:((rich(X)&~curious(X))<=>curious(X)))&
(((~happy(paul)&rich(paul)))=>(?[X]:((generous(X)<~>~rich(X)))))&
(![X]:(old(X)<=>wise(X)))&
(![X]:((~funny(X)|generous(X))=>(~happy(X)&~creative(X))))... | humble(mary) | [] | null | 0 |
Everyone who is either not patient or not curious is both not creative and rich. Everyone who is not brave or curious is both strong and not strong and vice versa. If someone is not wise or not patient then someone is both generous and not kind. Everyone who is curious or not curious is either not creative or not kind ... | Paul is not strong. | neutral | (![X]:((~patient(X)<~>~curious(X))=>(~creative(X)&rich(X))))&
(![X]:((~brave(X)|curious(X))<=>(strong(X)&~strong(X))))&
((?[X]:((~wise(X)|~patient(X))))=>(?[X]:((generous(X)&~kind(X)))))&
(![X]:((curious(X)|~curious(X))<=>(~creative(X)<~>~kind(X))))&
(![X]:(creative(X)=>(old(X)|patient(X))))&
(![X]:((generous(X)<~>kind... | ~strong(paul) | [] | null | 0 |
If someone is both not creative and generous then someone is both wise and not kind and vice versa.
Everyone who is quiet or not funny is both generous and not old and vice versa.
If john is rich then mary is either not brave or not wise.
If alice is not calm or funny then susan is happy or creative.
If paul is either ... | Mary is wise. | contradiction | ((?[X]:((~creative(X)&generous(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((quiet(X)|~funny(X))<=>(generous(X)&~old(X))))&
((rich(john))=>((~brave(mary)<~>~wise(mary))))&
(((~calm(alice)|funny(alice)))=>((happy(susan)|creative(susan))))&
(((~old(paul)<~>~wise(paul)))<=>(?[X]:((funny(X)&~strong(X)))))&
(![X]:((quiet(X)... | wise(mary) | [
"p1",
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3351851837422202198543684
% SZS output start Proof for 3351851837422202198543684
2. ! [X0] : ((~funny(X0) | quiet(X0)) <=> (~old(X0) & generous(X0))) [input p1]
6. ! [X0] : ((quiet(X0) <~> ~generous(X0)) <=> ~wise(X0)) [input p5]
7. ! [X0] : ((generous(X0) & ~kind(X0)) <=> generous(X0)) [... | 0 |
Everyone who is either not generous or strong is not wise or patient and vice versa.
Everyone who is tall or not calm is either not rich or generous and vice versa.
If alice is either creative or rich then someone is funny.
Everyone who is both kind and not strong is tall.
If lucy is brave then susan is humble or not c... | Lucy is not old. | entailment | (![X]:((~generous(X)<~>strong(X))<=>(~wise(X)|patient(X))))&
(![X]:((tall(X)|~calm(X))<=>(~rich(X)<~>generous(X))))&
(((creative(alice)<~>rich(alice)))=>(?[X]:(funny(X))))&
(![X]:((kind(X)&~strong(X))=>tall(X)))&
((brave(lucy))=>((humble(susan)|~curious(susan))))&
((?[X]:((old(X)&strong(X))))<=>((~funny(fred)|kind(fred... | ~old(lucy) | [
"p0",
"p7",
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2657590779566721942392588
% SZS output start Proof for 2657590779566721942392588
1. ! [X0] : ((~generous(X0) <~> strong(X0)) <=> (patient(X0) | ~wise(X0))) [input p0]
8. ! [X0] : ((humble(X0) & ~generous(X0)) <=> (~generous(X0) <~> ~old(X0))) [input p7]
9. ! [X0] : ((~happy(X0) | ~humble(... | 0 |
If someone is funny then lucy is either not creative or humble and vice versa.
If mary is either calm or not generous then someone is curious and vice versa.
If mary is both curious and not kind then someone is both wise and not kind and vice versa.
If paul is either not quiet or wise then someone is both rich and not ... | Mary is tall. | contradiction | ((?[X]:(funny(X)))<=>((~creative(lucy)<~>humble(lucy))))&
(((calm(mary)<~>~generous(mary)))<=>(?[X]:(curious(X))))&
(((curious(mary)&~kind(mary)))<=>(?[X]:((wise(X)&~kind(X)))))&
(((~quiet(paul)<~>wise(paul)))<=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((~old(X)|tall(X))<=>(happy(X)&~calm(X))))&
(![X]:((old(X)<~>~kind(X))=... | tall(mary) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3148282299428363100675371
% SZS output start Proof for 3148282299428363100675371
5. ! [X0] : ((tall(X0) | ~old(X0)) <=> (~calm(X0) & happy(X0))) [input p4]
8. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> ~tall(X0)) [input p7]
22. tall(mary) [input hypothesis]
52. ! [X0] : (((tall(X0) | ~old(X0))... | 0 |
Everyone who is wise is patient or funny and vice versa. Everyone who is both strong and creative is brave or not happy and vice versa. Everyone who is both not funny and funny is not tall and vice versa. Everyone who is not tall is quiet or not humble. If mary is not tall then someone is not rich or not brave and vice... | Paul is not quiet. | entailment | (![X]:(wise(X)<=>(patient(X)|funny(X))))&
(![X]:((strong(X)&creative(X))<=>(brave(X)|~happy(X))))&
(![X]:((~funny(X)&funny(X))<=>~tall(X)))&
(![X]:(~tall(X)=>(quiet(X)|~humble(X))))&
((~tall(mary))<=>(?[X]:((~rich(X)|~brave(X)))))&
(((calm(john)<~>~strong(john)))=>(?[X]:((~wise(X)|quiet(X)))))&
((?[X]:((~curious(X)|~wi... | ~quiet(paul) | [
"p1",
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4450933489490854821621336
% SZS output start Proof for 4450933489490854821621336
2. ! [X0] : ((creative(X0) & strong(X0)) <=> (~happy(X0) | brave(X0))) [input p1]
3. ! [X0] : ((funny(X0) & ~funny(X0)) <=> ~tall(X0)) [input p2]
5. ~tall(mary) <=> ? [X0] : (~brave(X0) | ~rich(X0)) [input p4... | 0 |
If alice is both funny and not curious then mary is strong and vice versa.
If someone is either not happy or not creative then someone is patient or not wise and vice versa.
If lucy is both not old and not happy then john is either not humble or tall and vice versa.
Everyone who is calm or not tall is either not genero... | Lucy is not brave. | entailment | (((funny(alice)&~curious(alice)))<=>(strong(mary)))&
((?[X]:((~happy(X)<~>~creative(X))))<=>(?[X]:((patient(X)|~wise(X)))))&
(((~old(lucy)&~happy(lucy)))<=>((~humble(john)<~>tall(john))))&
(![X]:((calm(X)|~tall(X))<=>(~generous(X)<~>humble(X))))&
(![X]:(~kind(X)=>(creative(X)&~generous(X))))&
((?[X]:((strong(X)&humble(... | ~brave(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8415484057520159202242969
% SZS output start Proof for 8415484057520159202242969
16. ? [X0] : (brave(X0) | curious(X0)) => (~creative(fred) & creative(fred)) [input p15]
23. brave(lucy) [input hypothesis]
34. (~creative(fred) & creative(fred)) | ! [X0] : (~brave(X0) & ~curious(X0)) [ennf ... | 0 |
If someone is old then fred is not generous or not rich and vice versa. If mary is generous then someone is both quiet and tall. Everyone who is calm or quiet is both not patient and creative and vice versa. Everyone who is not calm is not creative or not happy. Everyone who is not happy or not curious is both calm and... | Fred is creative. | neutral | ((?[X]:(old(X)))<=>((~generous(fred)|~rich(fred))))&
((generous(mary))=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((calm(X)|quiet(X))<=>(~patient(X)&creative(X))))&
(![X]:(~calm(X)=>(~creative(X)|~happy(X))))&
(![X]:((~happy(X)|~curious(X))=>(calm(X)&~rich(X))))&
(![X]:((~curious(X)&~old(X))<=>(~calm(X)<~>~funny(X))))&
(![X]... | creative(fred) | [] | null | 0 |
If someone is either not quiet or not humble then someone is either not wise or funny. If someone is quiet or not patient then paul is curious and vice versa. Everyone who is not creative is either not generous or funny and vice versa. If someone is both curious and rich then someone is both patient and not tall and vi... | Paul is not brave. | entailment | ((?[X]:((~quiet(X)<~>~humble(X))))=>(?[X]:((~wise(X)<~>funny(X)))))&
((?[X]:((quiet(X)|~patient(X))))<=>(curious(paul)))&
(![X]:(~creative(X)<=>(~generous(X)<~>funny(X))))&
((?[X]:((curious(X)&rich(X))))<=>(?[X]:((patient(X)&~tall(X)))))&
(![X]:(~curious(X)<=>old(X)))&
(![X]:((~old(X)<~>~happy(X))=>strong(X)))&
((?[X]:... | ~brave(paul) | [
"p1",
"p4",
"p8",
"p11",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5989450781779927290513147
% SZS output start Proof for 5989450781779927290513147
2. ? [X0] : (~patient(X0) | quiet(X0)) <=> curious(paul) [input p1]
5. ! [X0] : (~curious(X0) <=> old(X0)) [input p4]
9. ! [X0] : ((humble(X0) <~> tall(X0)) <=> (~tall(X0) | ~brave(X0))) [input p8]
12. ? [X0]... | 0 |
Everyone who is patient is either patient or not old.
If someone is not kind then someone is either generous or not curious.
If susan is either not funny or not rich then someone is either not happy or not strong.
If someone is happy or not creative then someone is both quiet and generous and vice versa.
If mary is not... | Susan is funny. | entailment | (![X]:(patient(X)=>(patient(X)<~>~old(X))))&
((?[X]:(~kind(X)))=>(?[X]:((generous(X)<~>~curious(X)))))&
(((~funny(susan)<~>~rich(susan)))=>(?[X]:((~happy(X)<~>~strong(X)))))&
((?[X]:((happy(X)|~creative(X))))<=>(?[X]:((quiet(X)&generous(X)))))&
((~creative(mary))<=>((funny(fred)<~>~old(fred))))&
(![X]:((~tall(X)|~brave... | funny(susan) | [
"p0",
"p10",
"p12",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4021190718833487593267689
% SZS output start Proof for 4021190718833487593267689
1. ! [X0] : (patient(X0) => (patient(X0) <~> ~old(X0))) [input p0]
11. ! [X0] : ((happy(X0) | tall(X0)) => (patient(X0) <~> funny(X0))) [input p10]
13. ! [X0] : (~creative(X0) <=> (~patient(X0) <~> ~happy(X0)... | 0 |
Everyone who is not quiet or calm is both not calm and not generous.
If someone is not wise then susan is old or patient.
Everyone who is rich or creative is not brave and vice versa.
Everyone who is either not wise or wise is not tall or wise.
If someone is either quiet or strong then someone is not wise or not patien... | Fred is not quiet. | contradiction | (![X]:((~quiet(X)|calm(X))=>(~calm(X)&~generous(X))))&
((?[X]:(~wise(X)))=>((old(susan)|patient(susan))))&
(![X]:((rich(X)|creative(X))<=>~brave(X)))&
(![X]:((~wise(X)<~>wise(X))=>(~tall(X)|wise(X))))&
((?[X]:((quiet(X)<~>strong(X))))<=>(?[X]:((~wise(X)|~patient(X)))))&
((?[X]:((~generous(X)<~>~strong(X))))<=>(?[X]:((p... | ~quiet(fred) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2788672120316013965703424
% SZS output start Proof for 2788672120316013965703424
1. ! [X0] : ((calm(X0) | ~quiet(X0)) => (~generous(X0) & ~calm(X0))) [input p0]
9. ! [X0] : ((strong(X0) & quiet(X0)) <=> (generous(X0) <~> ~calm(X0))) [input p8]
24. ~quiet(fred) [input hypothesis]
30. ! [X0... | 0 |
Everyone who is strong is either not rich or calm.
Everyone who is not old or funny is either not happy or not creative.
If paul is not old then john is wise.
Everyone who is both not kind and not wise is tall and vice versa.
Everyone who is curious or not strong is both strong and not curious.
Everyone who is either n... | John is not funny. | neutral | (![X]:(strong(X)=>(~rich(X)<~>calm(X))))&
(![X]:((~old(X)|funny(X))=>(~happy(X)<~>~creative(X))))&
((~old(paul))=>(wise(john)))&
(![X]:((~kind(X)&~wise(X))<=>tall(X)))&
(![X]:((curious(X)|~strong(X))=>(strong(X)&~curious(X))))&
(![X]:((~curious(X)<~>~creative(X))=>(humble(X)<~>~funny(X))))&
(![X]:((brave(X)&~happy(X))=... | ~funny(john) | [] | null | 0 |
If someone is not patient then mary is calm.
If paul is creative or rich then lucy is not kind.
Everyone who is quiet is either curious or kind and vice versa.
If paul is quiet or humble then someone is not kind or brave.
Everyone who is either not curious or not kind is either not funny or old and vice versa.
If someo... | Mary is rich. | entailment | ((?[X]:(~patient(X)))=>(calm(mary)))&
(((creative(paul)|rich(paul)))=>(~kind(lucy)))&
(![X]:(quiet(X)<=>(curious(X)<~>kind(X))))&
(((quiet(paul)|humble(paul)))=>(?[X]:((~kind(X)|brave(X)))))&
(![X]:((~curious(X)<~>~kind(X))<=>(~funny(X)<~>old(X))))&
((?[X]:((patient(X)|~old(X))))=>((tall(fred)<~>kind(fred))))&
(((~quie... | rich(mary) | [
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4311594082751260300432375
% SZS output start Proof for 4311594082751260300432375
9. ! [X0] : ((patient(X0) <~> curious(X0)) => (~patient(X0) | rich(X0))) [input p8]
22. ~curious(mary) & patient(mary) [input p21]
25. ~rich(mary) [input hypothesis]
34. ! [X0] : ((~patient(X0) | rich(X0)) | ... | 0 |
If someone is both tall and not humble then someone is wise or not patient and vice versa. Everyone who is both strong and generous is both humble and not creative and vice versa. Everyone who is either not kind or not brave is not creative. If someone is not curious then mary is not calm or not generous and vice versa... | Mary is calm. | entailment | ((?[X]:((tall(X)&~humble(X))))<=>(?[X]:((wise(X)|~patient(X)))))&
(![X]:((strong(X)&generous(X))<=>(humble(X)&~creative(X))))&
(![X]:((~kind(X)<~>~brave(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>((~calm(mary)|~generous(mary))))&
(![X]:((~old(X)<~>curious(X))=>(curious(X)&~tall(X))))&
(![X]:((~creative(X)&strong(X))=... | calm(mary) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 713542194150803714316262
% SZS output start Proof for 713542194150803714316262
2. ! [X0] : ((generous(X0) & strong(X0)) <=> (~creative(X0) & humble(X0))) [input p1]
4. ? [X0] : ~curious(X0) <=> (~generous(mary) | ~calm(mary)) [input p3]
5. ! [X0] : ((~old(X0) <~> curious(X0)) => (~tall(X0... | 0 |
If someone is both wise and rich then lucy is either curious or not patient.
If lucy is patient or tall then someone is either not funny or not patient and vice versa.
If susan is generous or old then paul is not old and vice versa.
If someone is both not brave and curious then someone is not funny and vice versa.
Ever... | Lucy is not calm. | neutral | ((?[X]:((wise(X)&rich(X))))=>((curious(lucy)<~>~patient(lucy))))&
(((patient(lucy)|tall(lucy)))<=>(?[X]:((~funny(X)<~>~patient(X)))))&
(((generous(susan)|old(susan)))<=>(~old(paul)))&
((?[X]:((~brave(X)&curious(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~humble(X)<~>~strong(X))<=>(calm(X)&patient(X))))&
(![X]:((~creative(X)&... | ~calm(lucy) | [] | null | 0 |
Everyone who is either curious or kind is not curious.
Everyone who is creative or old is not calm and vice versa.
Everyone who is not creative is not tall or funny and vice versa.
Everyone who is either not humble or not kind is not patient.
If someone is not happy then mary is not happy or not wise.
If someone is bot... | Fred is tall. | neutral | (![X]:((curious(X)<~>kind(X))=>~curious(X)))&
(![X]:((creative(X)|old(X))<=>~calm(X)))&
(![X]:(~creative(X)<=>(~tall(X)|funny(X))))&
(![X]:((~humble(X)<~>~kind(X))=>~patient(X)))&
((?[X]:(~happy(X)))=>((~happy(mary)|~wise(mary))))&
((?[X]:((curious(X)&~rich(X))))=>((funny(susan)<~>~kind(susan))))&
((?[X]:((~curious(X)|... | tall(fred) | [] | null | 0 |
If mary is both brave and not wise then alice is either not creative or not humble and vice versa.
If mary is not kind then someone is not generous or not rich and vice versa.
If fred is both rich and brave then someone is both not wise and not quiet.
If someone is strong then someone is both not strong and humble and ... | Fred is rich. | neutral | (((brave(mary)&~wise(mary)))<=>((~creative(alice)<~>~humble(alice))))&
((~kind(mary))<=>(?[X]:((~generous(X)|~rich(X)))))&
(((rich(fred)&brave(fred)))=>(?[X]:((~wise(X)&~quiet(X)))))&
((?[X]:(strong(X)))<=>(?[X]:((~strong(X)&humble(X)))))&
((?[X]:((~happy(X)<~>~calm(X))))=>(~humble(lucy)))&
(![X]:((~brave(X)&humble(X))... | rich(fred) | [] | null | 0 |
If someone is either quiet or patient then susan is quiet and vice versa.
If susan is wise then susan is either funny or not old and vice versa.
If alice is both not curious and strong then mary is calm or tall and vice versa.
If alice is quiet then someone is both not rich and not funny.
If fred is either not generous... | Susan is calm. | contradiction | ((?[X]:((quiet(X)<~>patient(X))))<=>(quiet(susan)))&
((wise(susan))<=>((funny(susan)<~>~old(susan))))&
(((~curious(alice)&strong(alice)))<=>((calm(mary)|tall(mary))))&
((quiet(alice))=>(?[X]:((~rich(X)&~funny(X)))))&
(((~generous(fred)<~>~strong(fred)))<=>(?[X]:((quiet(X)&~brave(X)))))&
((?[X]:(~creative(X)))<=>((~crea... | calm(susan) | [
"p6",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2555905324385702341525900
% SZS output start Proof for 2555905324385702341525900
7. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> (funny(X0) & curious(X0))) [input p6]
8. ! [X0] : ((old(X0) <~> curious(X0)) <=> calm(X0)) [input p7]
15. ! [X0] : ((~calm(X0) | ~old(X0)) => old(X0)) [input p14]
... | 0 |
Everyone who is kind is creative or happy and vice versa. Everyone who is both not curious and humble is quiet or wise. Everyone who is both old and not funny is either funny or not creative and vice versa. Everyone who is either not humble or not brave is both creative and patient. Everyone who is either humble or bra... | Mary is quiet. | entailment | (![X]:(kind(X)<=>(creative(X)|happy(X))))&
(![X]:((~curious(X)&humble(X))=>(quiet(X)|wise(X))))&
(![X]:((old(X)&~funny(X))<=>(funny(X)<~>~creative(X))))&
(![X]:((~humble(X)<~>~brave(X))=>(creative(X)&patient(X))))&
(![X]:((humble(X)<~>brave(X))<=>(~kind(X)|~rich(X))))&
(![X]:((~strong(X)|generous(X))<=>~brave(X)))&
(![... | quiet(mary) | [
"p0",
"p2",
"p3",
"p4",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2384929240159880350695349
% SZS output start Proof for 2384929240159880350695349
1. ! [X0] : (kind(X0) <=> (happy(X0) | creative(X0))) [input p0]
3. ! [X0] : ((~funny(X0) & old(X0)) <=> (funny(X0) <~> ~creative(X0))) [input p2]
4. ! [X0] : ((~humble(X0) <~> ~brave(X0)) => (patient(X0) & c... | 0 |
Everyone who is both not tall and not curious is not humble or quiet.
If someone is either kind or strong then fred is both not kind and funny and vice versa.
Everyone who is either not brave or not rich is quiet or strong and vice versa.
If someone is both not wise and not curious then alice is wise and vice versa.
Ev... | Mary is not generous. | contradiction | (![X]:((~tall(X)&~curious(X))=>(~humble(X)|quiet(X))))&
((?[X]:((kind(X)<~>strong(X))))<=>((~kind(fred)&funny(fred))))&
(![X]:((~brave(X)<~>~rich(X))<=>(quiet(X)|strong(X))))&
((?[X]:((~wise(X)&~curious(X))))<=>(wise(alice)))&
(![X]:((calm(X)|generous(X))<=>(old(X)<~>calm(X))))&
(((~happy(fred)<~>~curious(fred)))=>(?[X... | ~generous(mary) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4689176473186564109650741
% SZS output start Proof for 4689176473186564109650741
5. ! [X0] : ((generous(X0) | calm(X0)) <=> (old(X0) <~> calm(X0))) [input p4]
13. ! [X0] : ((~patient(X0) & old(X0)) <=> ~old(X0)) [input p12]
24. ~generous(mary) [input hypothesis]
46. ! [X0] : (((generous(X... | 0 |
Everyone who is both not patient and happy is either not funny or brave and vice versa.
Everyone who is curious or humble is either not brave or patient and vice versa.
If someone is not calm then someone is not generous and vice versa.
If mary is funny or not strong then lucy is not happy and vice versa.
Everyone who ... | Fred is kind. | neutral | (![X]:((~patient(X)&happy(X))<=>(~funny(X)<~>brave(X))))&
(![X]:((curious(X)|humble(X))<=>(~brave(X)<~>patient(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(~generous(X))))&
(((funny(mary)|~strong(mary)))<=>(~happy(lucy)))&
(![X]:((~calm(X)|~happy(X))<=>(~old(X)|~kind(X))))&
((brave(fred))=>((~old(john)|brave(john))))&
(![X]:(~ki... | kind(fred) | [] | null | 0 |
Everyone who is both curious and not rich is both not humble and wise and vice versa.
If john is tall then someone is not calm or strong and vice versa.
If someone is both creative and patient then someone is either not patient or wise and vice versa.
If john is both generous and brave then someone is both not wise and... | Fred is not strong. | contradiction | (![X]:((curious(X)&~rich(X))<=>(~humble(X)&wise(X))))&
((tall(john))<=>(?[X]:((~calm(X)|strong(X)))))&
((?[X]:((creative(X)&patient(X))))<=>(?[X]:((~patient(X)<~>wise(X)))))&
(((generous(john)&brave(john)))=>(?[X]:((~wise(X)&strong(X)))))&
((?[X]:(~funny(X)))<=>(?[X]:((~calm(X)&~quiet(X)))))&
((?[X]:(~funny(X)))=>(stro... | ~strong(fred) | [
"p2",
"p4",
"p5",
"p6",
"p9",
"p10",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6067630580795700257606827
% SZS output start Proof for 6067630580795700257606827
3. ? [X0] : (patient(X0) & creative(X0)) <=> ? [X0] : (~patient(X0) <~> wise(X0)) [input p2]
5. ? [X0] : ~funny(X0) <=> ? [X0] : (~quiet(X0) & ~calm(X0)) [input p4]
6. ? [X0] : ~funny(X0) => strong(fred) [inp... | 0 |
Everyone who is kind or funny is both not strong and not quiet and vice versa.
Everyone who is patient or not brave is wise or not kind and vice versa.
Everyone who is either calm or curious is both not kind and not happy.
Everyone who is generous or not generous is not tall.
Everyone who is not quiet is creative.
Ever... | Paul is calm. | contradiction | (![X]:((kind(X)|funny(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((patient(X)|~brave(X))<=>(wise(X)|~kind(X))))&
(![X]:((calm(X)<~>curious(X))=>(~kind(X)&~happy(X))))&
(![X]:((generous(X)|~generous(X))=>~tall(X)))&
(![X]:(~quiet(X)=>creative(X)))&
(![X]:(strong(X)<=>(~kind(X)<~>creative(X))))&
((?[X]:((~quiet(X)&strong(X)))... | calm(paul) | [
"p0",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4588223230421062295816487
% SZS output start Proof for 4588223230421062295816487
1. ! [X0] : ((funny(X0) | kind(X0)) <=> (~quiet(X0) & ~strong(X0))) [input p0]
5. ! [X0] : (~quiet(X0) => creative(X0)) [input p4]
6. ! [X0] : (strong(X0) <=> (~kind(X0) <~> creative(X0))) [input p5]
7. ? [X0... | 0 |
If someone is rich or funny then someone is old or patient and vice versa.
Everyone who is either not creative or not kind is rich or not patient and vice versa.
If someone is not funny then someone is both wise and not humble.
If someone is strong then alice is not rich.
If someone is tall or not patient then someone ... | Paul is happy. | contradiction | ((?[X]:((rich(X)|funny(X))))<=>(?[X]:((old(X)|patient(X)))))&
(![X]:((~creative(X)<~>~kind(X))<=>(rich(X)|~patient(X))))&
((?[X]:(~funny(X)))=>(?[X]:((wise(X)&~humble(X)))))&
((?[X]:(strong(X)))=>(~rich(alice)))&
((?[X]:((tall(X)|~patient(X))))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:(~creative(X)=>(~funny(X)&~qui... | happy(paul) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4859170152786757155793364
% SZS output start Proof for 4859170152786757155793364
10. ! [X0] : ((happy(X0) & wise(X0)) => (~old(X0) & ~happy(X0))) [input p9]
20. ~rich(paul) & wise(paul) [input p19]
23. happy(paul) [input hypothesis]
35. ! [X0] : ((~old(X0) & ~happy(X0)) | (~happy(X0) | ~w... | 0 |
Everyone who is calm is curious or not humble. Everyone who is either not strong or not quiet is both calm and not generous and vice versa. If someone is either not funny or patient then someone is not patient or generous. If lucy is either quiet or kind then someone is generous or not old and vice versa. If mary is bo... | John is tall. | neutral | (![X]:(calm(X)=>(curious(X)|~humble(X))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(calm(X)&~generous(X))))&
((?[X]:((~funny(X)<~>patient(X))))=>(?[X]:((~patient(X)|generous(X)))))&
(((quiet(lucy)<~>kind(lucy)))<=>(?[X]:((generous(X)|~old(X)))))&
(((~generous(mary)&humble(mary)))<=>(?[X]:((~funny(X)&~rich(X)))))&
(![X]:(~bra... | tall(john) | [] | null | 0 |
Everyone who is both not rich and not brave is either wise or creative and vice versa.
If someone is both funny and not patient then someone is either not happy or kind and vice versa.
If someone is both kind and quiet then someone is patient.
Everyone who is either kind or strong is either not funny or kind.
Everyone ... | Lucy is patient. | neutral | (![X]:((~rich(X)&~brave(X))<=>(wise(X)<~>creative(X))))&
((?[X]:((funny(X)&~patient(X))))<=>(?[X]:((~happy(X)<~>kind(X)))))&
((?[X]:((kind(X)&quiet(X))))=>(?[X]:(patient(X))))&
(![X]:((kind(X)<~>strong(X))=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)<~>creative(X))=>(creative(X)|wise(X))))&
(((~curious(mary)&old(mary)))=... | patient(lucy) | [] | null | 0 |
If someone is both not quiet and not kind then someone is either not curious or kind. Everyone who is old is either not humble or not brave and vice versa. Everyone who is creative or not kind is either not humble or creative and vice versa. Everyone who is calm is either not tall or happy and vice versa. If someone is... | Mary is not happy. | neutral | ((?[X]:((~quiet(X)&~kind(X))))=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:(old(X)<=>(~humble(X)<~>~brave(X))))&
(![X]:((creative(X)|~kind(X))<=>(~humble(X)<~>creative(X))))&
(![X]:(calm(X)<=>(~tall(X)<~>happy(X))))&
((?[X]:((kind(X)<~>happy(X))))=>(?[X]:(funny(X))))&
(((~tall(mary)<~>~kind(mary)))=>((~strong(alice)|wise... | ~happy(mary) | [] | null | 0 |
If paul is not generous or not quiet then someone is either brave or curious and vice versa.
Everyone who is wise is both not kind and kind.
If someone is either not happy or strong then someone is not patient.
If lucy is not wise or not calm then someone is brave.
If susan is both creative and brave then someone is no... | Fred is calm. | contradiction | (((~generous(paul)|~quiet(paul)))<=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:(wise(X)=>(~kind(X)&kind(X))))&
((?[X]:((~happy(X)<~>strong(X))))=>(?[X]:(~patient(X))))&
(((~wise(lucy)|~calm(lucy)))=>(?[X]:(brave(X))))&
(((creative(susan)&brave(susan)))=>(?[X]:(~curious(X))))&
(((quiet(lucy)<~>brave(lucy)))<=>(?[X]:((gene... | calm(fred) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3354985946970286748178519
% SZS output start Proof for 3354985946970286748178519
2. ! [X0] : (wise(X0) => (kind(X0) & ~kind(X0))) [input p1]
10. ! [X0] : (wise(X0) <=> calm(X0)) [input p9]
24. calm(fred) [input hypothesis]
29. ! [X0] : ((kind(X0) & ~kind(X0)) | ~wise(X0)) [ennf transforma... | 0 |
If mary is calm then someone is not quiet.
If someone is either wise or not happy then someone is either not humble or not quiet.
If someone is either old or creative then someone is quiet.
Everyone who is either not humble or patient is either tall or creative and vice versa.
Everyone who is humble or brave is not tal... | Fred is not wise. | contradiction | ((calm(mary))=>(?[X]:(~quiet(X))))&
((?[X]:((wise(X)<~>~happy(X))))=>(?[X]:((~humble(X)<~>~quiet(X)))))&
((?[X]:((old(X)<~>creative(X))))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)<~>patient(X))<=>(tall(X)<~>creative(X))))&
(![X]:((humble(X)|brave(X))=>(~tall(X)|~humble(X))))&
(![X]:((~humble(X)<~>~strong(X))<=>(patient(X... | ~wise(fred) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6124359201338612753637175
% SZS output start Proof for 6124359201338612753637175
8. ! [X0] : ((~strong(X0) | ~calm(X0)) <=> (strong(X0) & ~strong(X0))) [input p7]
14. ! [X0] : (strong(X0) <=> (wise(X0) & ~humble(X0))) [input p13]
24. ~wise(fred) [input hypothesis]
48. ! [X0] : (((~strong(... | 0 |
If fred is calm or humble then susan is either not kind or wise.
Everyone who is happy or not humble is creative and vice versa.
If someone is rich then someone is either not patient or not kind.
Everyone who is both quiet and not tall is either not calm or not humble.
If someone is both not brave and tall then someone... | Lucy is not happy. | entailment | (((calm(fred)|humble(fred)))=>((~kind(susan)<~>wise(susan))))&
(![X]:((happy(X)|~humble(X))<=>creative(X)))&
((?[X]:(rich(X)))=>(?[X]:((~patient(X)<~>~kind(X)))))&
(![X]:((quiet(X)&~tall(X))=>(~calm(X)<~>~humble(X))))&
((?[X]:((~brave(X)&tall(X))))<=>(?[X]:((brave(X)<~>~rich(X)))))&
(![X]:(humble(X)=>(calm(X)<~>rich(X)... | ~happy(lucy) | [
"p1",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 66218096917658930585251
% SZS output start Proof for 66218096917658930585251
2. ! [X0] : ((~humble(X0) | happy(X0)) <=> creative(X0)) [input p1]
18. ~creative(lucy) [input p17]
25. happy(lucy) [input hypothesis]
30. ! [X0] : ((~humble(X0) | happy(X0)) => creative(X0)) [unused predicate de... | 0 |
If someone is old then john is both creative and patient and vice versa.
Everyone who is either not quiet or brave is both happy and creative and vice versa.
Everyone who is not calm is not funny or quiet.
If someone is not humble then someone is either brave or not quiet.
Everyone who is both not old and not generous ... | John is not strong. | entailment | ((?[X]:(old(X)))<=>((creative(john)&patient(john))))&
(![X]:((~quiet(X)<~>brave(X))<=>(happy(X)&creative(X))))&
(![X]:(~calm(X)=>(~funny(X)|quiet(X))))&
((?[X]:(~humble(X)))=>(?[X]:((brave(X)<~>~quiet(X)))))&
(![X]:((~old(X)&~generous(X))=>(~curious(X)&rich(X))))&
(![X]:(~kind(X)=>(happy(X)|kind(X))))&
(![X]:((tall(X)|... | ~strong(john) | [
"p0",
"p4",
"p5",
"p6",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2824404425398842837109088
% SZS output start Proof for 2824404425398842837109088
1. ? [X0] : old(X0) <=> (patient(john) & creative(john)) [input p0]
5. ! [X0] : ((~generous(X0) & ~old(X0)) => (rich(X0) & ~curious(X0))) [input p4]
6. ! [X0] : (~kind(X0) => (kind(X0) | happy(X0))) [input p5... | 0 |
If lucy is not tall or strong then someone is not old or curious.
Everyone who is both not generous and not tall is both not quiet and wise and vice versa.
Everyone who is not creative or not funny is creative or not quiet.
Everyone who is calm is both old and creative and vice versa.
Everyone who is either calm or pat... | Lucy is generous. | neutral | (((~tall(lucy)|strong(lucy)))=>(?[X]:((~old(X)|curious(X)))))&
(![X]:((~generous(X)&~tall(X))<=>(~quiet(X)&wise(X))))&
(![X]:((~creative(X)|~funny(X))=>(creative(X)|~quiet(X))))&
(![X]:(calm(X)<=>(old(X)&creative(X))))&
(![X]:((calm(X)<~>patient(X))<=>curious(X)))&
(![X]:(creative(X)=>(tall(X)<~>~rich(X))))&
(![X]:((~h... | generous(lucy) | [] | null | 0 |
If someone is either funny or not wise then paul is humble and vice versa. Everyone who is either not kind or funny is both old and not old. Everyone who is both not kind and curious is both not wise and old. If mary is both patient and kind then someone is wise or funny and vice versa. If susan is both not brave and n... | Mary is not kind. | contradiction | ((?[X]:((funny(X)<~>~wise(X))))<=>(humble(paul)))&
(![X]:((~kind(X)<~>funny(X))=>(old(X)&~old(X))))&
(![X]:((~kind(X)&curious(X))=>(~wise(X)&old(X))))&
(((patient(mary)&kind(mary)))<=>(?[X]:((wise(X)|funny(X)))))&
(((~brave(susan)&~curious(susan)))=>(?[X]:(~quiet(X))))&
(![X]:((~brave(X)|~strong(X))<=>(tall(X)<~>strong... | ~kind(mary) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2114035821656854397822511
% SZS output start Proof for 2114035821656854397822511
2. ! [X0] : ((~kind(X0) <~> funny(X0)) => (~old(X0) & old(X0))) [input p1]
4. (kind(mary) & patient(mary)) <=> ? [X0] : (funny(X0) | wise(X0)) [input p3]
24. ~kind(mary) [input hypothesis]
26. ! [X0] : ((~old... | 0 |
If someone is not generous then mary is both happy and strong.
If someone is either patient or rich then someone is calm or happy and vice versa.
Everyone who is not happy or calm is either humble or wise and vice versa.
Everyone who is not happy is not old or not quiet and vice versa.
Everyone who is kind or not curio... | John is tall. | neutral | ((?[X]:(~generous(X)))=>((happy(mary)&strong(mary))))&
((?[X]:((patient(X)<~>rich(X))))<=>(?[X]:((calm(X)|happy(X)))))&
(![X]:((~happy(X)|calm(X))<=>(humble(X)<~>wise(X))))&
(![X]:(~happy(X)<=>(~old(X)|~quiet(X))))&
(![X]:((kind(X)|~curious(X))<=>(happy(X)|~funny(X))))&
((brave(mary))<=>((wise(mary)|~tall(mary))))&
((?... | tall(john) | [] | null | 0 |
If someone is both tall and not old then mary is either calm or not curious. If alice is not calm or not quiet then someone is either not calm or not happy. If mary is both tall and kind then john is either not humble or curious. Everyone who is not creative is either not funny or not tall and vice versa. Everyone who ... | John is creative. | neutral | ((?[X]:((tall(X)&~old(X))))=>((calm(mary)<~>~curious(mary))))&
(((~calm(alice)|~quiet(alice)))=>(?[X]:((~calm(X)<~>~happy(X)))))&
(((tall(mary)&kind(mary)))=>((~humble(john)<~>curious(john))))&
(![X]:(~creative(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:((~creative(X)<~>curious(X))=>(~creative(X)<~>~funny(X))))&
(![X]:((~pat... | creative(john) | [] | null | 0 |
Everyone who is both tall and funny is not funny.
If alice is either not humble or rich then someone is not wise.
Everyone who is both not tall and not calm is both not creative and kind and vice versa.
If paul is calm or not patient then john is not brave.
Everyone who is either curious or generous is patient and vice... | Susan is brave. | entailment | (![X]:((tall(X)&funny(X))=>~funny(X)))&
(((~humble(alice)<~>rich(alice)))=>(?[X]:(~wise(X))))&
(![X]:((~tall(X)&~calm(X))<=>(~creative(X)&kind(X))))&
(((calm(paul)|~patient(paul)))=>(~brave(john)))&
(![X]:((curious(X)<~>generous(X))<=>patient(X)))&
(![X]:(calm(X)<=>(~rich(X)<~>~creative(X))))&
(![X]:((creative(X)<~>bra... | brave(susan) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p7",
"p9",
"p11",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8691628729439504662354078
% SZS output start Proof for 8691628729439504662354078
1. ! [X0] : ((funny(X0) & tall(X0)) => ~funny(X0)) [input p0]
3. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> (kind(X0) & ~creative(X0))) [input p2]
5. ! [X0] : ((curious(X0) <~> generous(X0)) <=> patient(X0)) [inpu... | 0 |
Everyone who is either not happy or happy is tall and vice versa. Everyone who is either not patient or not tall is old or happy. Everyone who is wise is funny or not kind. If someone is old then someone is not generous and vice versa. Everyone who is creative or not strong is both strong and curious. If lucy is either... | Fred is not quiet. | neutral | (![X]:((~happy(X)<~>happy(X))<=>tall(X)))&
(![X]:((~patient(X)<~>~tall(X))=>(old(X)|happy(X))))&
(![X]:(wise(X)=>(funny(X)|~kind(X))))&
((?[X]:(old(X)))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)|~strong(X))=>(strong(X)&curious(X))))&
(((~strong(lucy)<~>~creative(lucy)))<=>(?[X]:((~happy(X)&~patient(X)))))&
((?[X]:(... | ~quiet(fred) | [] | null | 0 |
Everyone who is either not curious or patient is either funny or not curious and vice versa.
Everyone who is either tall or not calm is both not curious and not humble.
If paul is either not patient or patient then mary is not patient and vice versa.
If fred is not creative or not strong then someone is either brave or... | Lucy is happy. | entailment | (![X]:((~curious(X)<~>patient(X))<=>(funny(X)<~>~curious(X))))&
(![X]:((tall(X)<~>~calm(X))=>(~curious(X)&~humble(X))))&
(((~patient(paul)<~>patient(paul)))<=>(~patient(mary)))&
(((~creative(fred)|~strong(fred)))<=>(?[X]:((brave(X)<~>~curious(X)))))&
(((patient(lucy)&~kind(lucy)))=>(?[X]:((kind(X)<~>~funny(X)))))&
(((~... | happy(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 843533378869670707336391
% SZS output start Proof for 843533378869670707336391
12. ! [X0] : (creative(X0) <=> (~creative(X0) & ~happy(X0))) [input p11]
24. ~happy(lucy) [input hypothesis]
60. ! [X0] : ((creative(X0) | (creative(X0) | happy(X0))) & ((~creative(X0) & ~happy(X0)) | ~creative... | 0 |
If someone is generous then someone is quiet. If someone is either tall or not creative then someone is both not curious and brave. If someone is either kind or not curious then lucy is both patient and quiet and vice versa. Everyone who is both not wise and calm is both not happy and not curious and vice versa. If som... | Mary is happy. | entailment | ((?[X]:(generous(X)))=>(?[X]:(quiet(X))))&
((?[X]:((tall(X)<~>~creative(X))))=>(?[X]:((~curious(X)&brave(X)))))&
((?[X]:((kind(X)<~>~curious(X))))<=>((patient(lucy)&quiet(lucy))))&
(![X]:((~wise(X)&calm(X))<=>(~happy(X)&~curious(X))))&
((?[X]:((creative(X)<~>rich(X))))=>((~tall(susan)&~wise(susan))))&
(![X]:((humble(X)... | happy(mary) | [
"p5",
"p7",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 79916202753024350186756
% SZS output start Proof for 79916202753024350186756
6. ! [X0] : ((humble(X0) <~> ~creative(X0)) <=> (~happy(X0) & ~creative(X0))) [input p5]
8. ! [X0] : (patient(X0) <=> brave(X0)) [input p7]
11. ! [X0] : ((~humble(X0) | generous(X0)) => patient(X0)) [input p10]
2... | 0 |
Everyone who is old is curious and vice versa.
If lucy is not quiet then someone is curious or quiet and vice versa.
Everyone who is either curious or patient is both not happy and creative and vice versa.
If someone is either calm or funny then someone is quiet or not humble and vice versa.
If lucy is calm then paul i... | Lucy is not happy. | neutral | (![X]:(old(X)<=>curious(X)))&
((~quiet(lucy))<=>(?[X]:((curious(X)|quiet(X)))))&
(![X]:((curious(X)<~>patient(X))<=>(~happy(X)&creative(X))))&
((?[X]:((calm(X)<~>funny(X))))<=>(?[X]:((quiet(X)|~humble(X)))))&
((calm(lucy))=>(wise(paul)))&
(![X]:((~humble(X)|~rich(X))=>(~funny(X)|funny(X))))&
((quiet(paul))=>(?[X]:((tal... | ~happy(lucy) | [] | null | 0 |
Everyone who is rich or not happy is either not rich or not calm.
If fred is wise then someone is not strong.
If fred is either not strong or not tall then someone is either not wise or not strong.
Everyone who is either kind or not brave is either not curious or wise and vice versa.
If someone is either not tall or ki... | Fred is not quiet. | contradiction | (![X]:((rich(X)|~happy(X))=>(~rich(X)<~>~calm(X))))&
((wise(fred))=>(?[X]:(~strong(X))))&
(((~strong(fred)<~>~tall(fred)))=>(?[X]:((~wise(X)<~>~strong(X)))))&
(![X]:((kind(X)<~>~brave(X))<=>(~curious(X)<~>wise(X))))&
((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:(~strong(X))))&
((?[X]:((generous(X)&~tall(X))))=>(?[X]:((~calm(... | ~quiet(fred) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 164684119262683526586022
% SZS output start Proof for 164684119262683526586022
9. ! [X0] : (quiet(X0) <=> (curious(X0) | ~brave(X0))) [input p8]
12. ! [X0] : (brave(X0) <=> (~brave(X0) & ~funny(X0))) [input p11]
24. ~quiet(fred) [input hypothesis]
62. ! [X0] : ((quiet(X0) | (~curious(X0) ... | 0 |
Everyone who is either not tall or not creative is either old or happy.
If susan is not strong or not funny then mary is not quiet or happy.
Everyone who is both tall and not funny is either not happy or not strong.
If mary is both patient and not kind then someone is not happy or not generous and vice versa.
If mary i... | John is funny. | neutral | (![X]:((~tall(X)<~>~creative(X))=>(old(X)<~>happy(X))))&
(((~strong(susan)|~funny(susan)))=>((~quiet(mary)|happy(mary))))&
(![X]:((tall(X)&~funny(X))=>(~happy(X)<~>~strong(X))))&
(((patient(mary)&~kind(mary)))<=>(?[X]:((~happy(X)|~generous(X)))))&
(((calm(mary)<~>~tall(mary)))=>((~curious(alice)<~>~quiet(alice))))&
(((... | funny(john) | [] | null | 0 |
If someone is both not creative and rich then someone is old and vice versa.
Everyone who is both not creative and tall is either generous or quiet and vice versa.
If someone is both quiet and brave then susan is not wise and vice versa.
Everyone who is not wise is either not strong or not happy and vice versa.
Everyon... | Susan is patient. | neutral | ((?[X]:((~creative(X)&rich(X))))<=>(?[X]:(old(X))))&
(![X]:((~creative(X)&tall(X))<=>(generous(X)<~>quiet(X))))&
((?[X]:((quiet(X)&brave(X))))<=>(~wise(susan)))&
(![X]:(~wise(X)<=>(~strong(X)<~>~happy(X))))&
(![X]:((patient(X)<~>~rich(X))=>happy(X)))&
(![X]:((~humble(X)&kind(X))=>(quiet(X)|~patient(X))))&
(((~brave(ali... | patient(susan) | [] | null | 0 |
If john is either not strong or curious then someone is strong or not strong and vice versa.
If fred is creative then lucy is either strong or not curious.
If susan is not old or kind then someone is not humble and vice versa.
Everyone who is not generous or patient is strong.
If someone is either patient or not funny ... | Alice is rich. | contradiction | (((~strong(john)<~>curious(john)))<=>(?[X]:((strong(X)|~strong(X)))))&
((creative(fred))=>((strong(lucy)<~>~curious(lucy))))&
(((~old(susan)|kind(susan)))<=>(?[X]:(~humble(X))))&
(![X]:((~generous(X)|patient(X))=>strong(X)))&
((?[X]:((patient(X)<~>~funny(X))))<=>((rich(susan)<~>creative(susan))))&
(((creative(fred)<~>~... | rich(alice) | [
"p7",
"p8",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 378005986366910249341996
% SZS output start Proof for 378005986366910249341996
8. ! [X0] : ((brave(X0) | ~funny(X0)) => (generous(X0) <~> happy(X0))) [input p7]
9. ! [X0] : (~happy(X0) => (~wise(X0) <~> ~generous(X0))) [input p8]
12. ! [X0] : ((humble(X0) | strong(X0)) => (~rich(X0) | ~hu... | 0 |
If someone is both tall and happy then someone is not strong.
If alice is either funny or curious then mary is curious.
Everyone who is brave or kind is strong or happy and vice versa.
Everyone who is not humble or not tall is either not generous or not creative and vice versa.
Everyone who is both wise and not funny i... | Lucy is not rich. | neutral | ((?[X]:((tall(X)&happy(X))))=>(?[X]:(~strong(X))))&
(((funny(alice)<~>curious(alice)))=>(curious(mary)))&
(![X]:((brave(X)|kind(X))<=>(strong(X)|happy(X))))&
(![X]:((~humble(X)|~tall(X))<=>(~generous(X)<~>~creative(X))))&
(![X]:((wise(X)&~funny(X))<=>(curious(X)&~old(X))))&
(((wise(john)&~happy(john)))<=>((~funny(alice... | ~rich(lucy) | [] | null | 0 |
If someone is either not old or not patient then lucy is creative or not happy. Everyone who is both funny and curious is rich or brave and vice versa. If paul is either tall or curious then alice is both not old and generous and vice versa. Everyone who is not brave or not tall is humble and vice versa. Everyone who i... | Paul is not humble. | neutral | ((?[X]:((~old(X)<~>~patient(X))))=>((creative(lucy)|~happy(lucy))))&
(![X]:((funny(X)&curious(X))<=>(rich(X)|brave(X))))&
(((tall(paul)<~>curious(paul)))<=>((~old(alice)&generous(alice))))&
(![X]:((~brave(X)|~tall(X))<=>humble(X)))&
(![X]:(~curious(X)<=>calm(X)))&
(![X]:((wise(X)<~>~generous(X))=>~generous(X)))&
((?[X]... | ~humble(paul) | [] | null | 0 |
If someone is happy then john is either funny or wise and vice versa.
Everyone who is tall or not generous is kind and vice versa.
If paul is brave or not old then someone is not curious or not creative.
Everyone who is not kind is either not kind or not old.
Everyone who is both not quiet and humble is both patient an... | Mary is wise. | contradiction | ((?[X]:(happy(X)))<=>((funny(john)<~>wise(john))))&
(![X]:((tall(X)|~generous(X))<=>kind(X)))&
(((brave(paul)|~old(paul)))=>(?[X]:((~curious(X)|~creative(X)))))&
(![X]:(~kind(X)=>(~kind(X)<~>~old(X))))&
(![X]:((~quiet(X)&humble(X))<=>(patient(X)&~patient(X))))&
(![X]:(~strong(X)<=>(generous(X)&~calm(X))))&
(![X]:((pati... | wise(mary) | [
"p1",
"p5",
"p6",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5952604870493836264253082
% SZS output start Proof for 5952604870493836264253082
2. ! [X0] : ((~generous(X0) | tall(X0)) <=> kind(X0)) [input p1]
6. ! [X0] : (~strong(X0) <=> (~calm(X0) & generous(X0))) [input p5]
7. ! [X0] : ((~patient(X0) | patient(X0)) => strong(X0)) [input p6]
13. ! [... | 0 |
Everyone who is either not calm or funny is not old or not tall and vice versa.
Everyone who is either funny or generous is not patient or tall and vice versa.
If paul is both not strong and not wise then mary is either not old or generous and vice versa.
Everyone who is either not old or strong is either patient or fu... | Mary is not calm. | entailment | (![X]:((~calm(X)<~>funny(X))<=>(~old(X)|~tall(X))))&
(![X]:((funny(X)<~>generous(X))<=>(~patient(X)|tall(X))))&
(((~strong(paul)&~wise(paul)))<=>((~old(mary)<~>generous(mary))))&
(![X]:((~old(X)<~>strong(X))<=>(patient(X)<~>funny(X))))&
(![X]:((patient(X)|~old(X))=>(~strong(X)&~humble(X))))&
((?[X]:((~quiet(X)&humble(X... | ~calm(mary) | [
"p0",
"p1",
"p2",
"p9",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 497318623548869291552214
% SZS output start Proof for 497318623548869291552214
1. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> (~tall(X0) | ~old(X0))) [input p0]
2. ! [X0] : ((funny(X0) <~> generous(X0)) <=> (tall(X0) | ~patient(X0))) [input p1]
3. (~wise(paul) & ~strong(paul)) <=> (~old(mary)... | 0 |
If someone is not old then alice is creative or wise and vice versa.
Everyone who is not wise is humble and vice versa.
If lucy is both humble and not patient then someone is generous or not curious.
Everyone who is both not happy and not calm is both not wise and rich.
Everyone who is brave is creative or patient and ... | Lucy is brave. | contradiction | ((?[X]:(~old(X)))<=>((creative(alice)|wise(alice))))&
(![X]:(~wise(X)<=>humble(X)))&
(((humble(lucy)&~patient(lucy)))=>(?[X]:((generous(X)|~curious(X)))))&
(![X]:((~happy(X)&~calm(X))=>(~wise(X)&rich(X))))&
(![X]:(brave(X)<=>(creative(X)|patient(X))))&
(((~brave(lucy)<~>generous(lucy)))<=>((curious(lucy)&calm(lucy))))&... | brave(lucy) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7798199737196345387766988
% SZS output start Proof for 7798199737196345387766988
9. ! [X0] : (brave(X0) <=> tall(X0)) [input p8]
10. ! [X0] : (old(X0) <=> (~old(X0) & tall(X0))) [input p9]
23. brave(lucy) [input hypothesis]
49. ! [X0] : ((brave(X0) | ~tall(X0)) & (tall(X0) | ~brave(X0))) ... | 0 |
Everyone who is patient is brave or not curious and vice versa. If someone is not creative then lucy is not old or not brave and vice versa. Everyone who is tall or generous is both not quiet and kind. Everyone who is not funny or calm is not quiet. If paul is not quiet then susan is happy or not kind and vice versa. I... | Lucy is quiet. | contradiction | (![X]:(patient(X)<=>(brave(X)|~curious(X))))&
((?[X]:(~creative(X)))<=>((~old(lucy)|~brave(lucy))))&
(![X]:((tall(X)|generous(X))=>(~quiet(X)&kind(X))))&
(![X]:((~funny(X)|calm(X))=>~quiet(X)))&
((~quiet(paul))<=>((happy(susan)|~kind(susan))))&
(((humble(lucy)<~>~humble(lucy)))<=>(~generous(alice)))&
(![X]:((tall(X)<~>... | quiet(lucy) | [
"p2",
"p3",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8829668234610977240143331
% SZS output start Proof for 8829668234610977240143331
3. ! [X0] : ((generous(X0) | tall(X0)) => (kind(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : ((calm(X0) | ~funny(X0)) => ~quiet(X0)) [input p3]
9. ! [X0] : ((calm(X0) | strong(X0)) <=> calm(X0)) [input p8]
11. !... | 0 |
If lucy is patient then lucy is both not rich and kind.
If someone is not brave or tall then lucy is humble or not generous.
Everyone who is both not rich and not tall is not funny or old and vice versa.
If susan is both not funny and not humble then john is both happy and not kind and vice versa.
Everyone who is wise ... | Fred is happy. | contradiction | ((patient(lucy))=>((~rich(lucy)&kind(lucy))))&
((?[X]:((~brave(X)|tall(X))))=>((humble(lucy)|~generous(lucy))))&
(![X]:((~rich(X)&~tall(X))<=>(~funny(X)|old(X))))&
(((~funny(susan)&~humble(susan)))<=>((happy(john)&~kind(john))))&
(![X]:((wise(X)|creative(X))<=>(~quiet(X)&brave(X))))&
(![X]:((funny(X)&~strong(X))<=>(hap... | happy(fred) | [
"p7",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 247269310310652883928276
% SZS output start Proof for 247269310310652883928276
8. ? [X0] : (generous(X0) | ~old(X0)) <=> (kind(paul) & brave(paul)) [input p7]
13. ! [X0] : ((~happy(X0) & generous(X0)) <=> (~funny(X0) | old(X0))) [input p12]
14. (~strong(fred) | old(fred)) <=> ? [X0] : (ki... | 0 |
Everyone who is funny is both humble and quiet.
Everyone who is both not funny and not strong is not kind or not humble and vice versa.
If someone is either not rich or not strong then mary is either curious or calm.
Everyone who is either not humble or not calm is either not tall or quiet.
If someone is not old or not... | John is not creative. | entailment | (![X]:(funny(X)=>(humble(X)&quiet(X))))&
(![X]:((~funny(X)&~strong(X))<=>(~kind(X)|~humble(X))))&
((?[X]:((~rich(X)<~>~strong(X))))=>((curious(mary)<~>calm(mary))))&
(![X]:((~humble(X)<~>~calm(X))=>(~tall(X)<~>quiet(X))))&
((?[X]:((~old(X)|~humble(X))))=>(?[X]:((calm(X)<~>~kind(X)))))&
(![X]:((~brave(X)&~wise(X))<=>~ki... | ~creative(john) | [
"p0",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2771594535731155948431765
% SZS output start Proof for 2771594535731155948431765
1. ! [X0] : (funny(X0) => (quiet(X0) & humble(X0))) [input p0]
10. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (humble(X0) & wise(X0))) [input p9]
12. ! [X0] : (quiet(X0) <=> (patient(X0) <~> ~creative(X0))) [... | 0 |
If someone is both humble and not tall then john is both calm and not happy and vice versa.
If someone is both humble and not wise then lucy is both rich and not calm.
Everyone who is both not tall and happy is not quiet and vice versa.
If susan is both not old and creative then john is humble or not old and vice versa... | John is kind. | entailment | ((?[X]:((humble(X)&~tall(X))))<=>((calm(john)&~happy(john))))&
((?[X]:((humble(X)&~wise(X))))=>((rich(lucy)&~calm(lucy))))&
(![X]:((~tall(X)&happy(X))<=>~quiet(X)))&
(((~old(susan)&creative(susan)))<=>((humble(john)|~old(john))))&
(![X]:((curious(X)<~>wise(X))=>(wise(X)|~patient(X))))&
(![X]:((~creative(X)|~humble(X))=... | kind(john) | [
"p0",
"p2",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 811007628673611607989460
% SZS output start Proof for 811007628673611607989460
1. ? [X0] : (~tall(X0) & humble(X0)) <=> (~happy(john) & calm(john)) [input p0]
3. ! [X0] : ((happy(X0) & ~tall(X0)) <=> ~quiet(X0)) [input p2]
6. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~patient(X0) & humb... | 0 |
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