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 either quiet or curious is not wise or old.
Everyone who is curious is both not tall and not rich and vice versa.
If susan is not funny or wise then fred is kind or not patient and vice versa.
If fred is either not patient or creative then john is brave and vice versa.
If someone is either not wise or c... | Alice is not funny. | neutral | (![X]:((quiet(X)<~>curious(X))=>(~wise(X)|old(X))))&
(![X]:(curious(X)<=>(~tall(X)&~rich(X))))&
(((~funny(susan)|wise(susan)))<=>((kind(fred)|~patient(fred))))&
(((~patient(fred)<~>creative(fred)))<=>(brave(john)))&
((?[X]:((~wise(X)<~>calm(X))))<=>((~creative(lucy)<~>~funny(lucy))))&
(((~old(lucy)<~>~humble(lucy)))=>(... | ~funny(alice) | [] | null | 0 |
If mary is not generous then susan is either old or not curious and vice versa.
If someone is patient or not old then alice is strong or not old and vice versa.
Everyone who is not brave is curious or wise.
Everyone who is not brave or kind is quiet and vice versa.
If fred is funny or not humble then someone is both no... | Susan is not wise. | contradiction | ((~generous(mary))<=>((old(susan)<~>~curious(susan))))&
((?[X]:((patient(X)|~old(X))))<=>((strong(alice)|~old(alice))))&
(![X]:(~brave(X)=>(curious(X)|wise(X))))&
(![X]:((~brave(X)|kind(X))<=>quiet(X)))&
(((funny(fred)|~humble(fred)))=>(?[X]:((~rich(X)&humble(X)))))&
(![X]:((~calm(X)|happy(X))<=>~calm(X)))&
(((~quiet(f... | ~wise(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 880425141526283789511247
% SZS output start Proof for 880425141526283789511247
12. ! [X0] : (humble(X0) <=> (humble(X0) <~> ~wise(X0))) [input p11]
25. ~wise(susan) [input hypothesis]
64. ! [X0] : ((humble(X0) | ((humble(X0) | wise(X0)) & (~wise(X0) | ~humble(X0)))) & (((wise(X0) | ~humbl... | 0 |
If lucy is not rich or not generous then someone is not brave and vice versa.
Everyone who is both not patient and strong is tall or not funny and vice versa.
If fred is funny or wise then someone is either patient or not generous and vice versa.
If someone is not quiet or brave then fred is curious or old and vice ver... | Paul is not funny. | contradiction | (((~rich(lucy)|~generous(lucy)))<=>(?[X]:(~brave(X))))&
(![X]:((~patient(X)&strong(X))<=>(tall(X)|~funny(X))))&
(((funny(fred)|wise(fred)))<=>(?[X]:((patient(X)<~>~generous(X)))))&
((?[X]:((~quiet(X)|brave(X))))<=>((curious(fred)|old(fred))))&
((~patient(paul))=>(?[X]:(brave(X))))&
(![X]:((curious(X)&rich(X))=>~brave(X... | ~funny(paul) | [
"p1",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5820197522342451405980242
% SZS output start Proof for 5820197522342451405980242
2. ! [X0] : ((strong(X0) & ~patient(X0)) <=> (~funny(X0) | tall(X0))) [input p1]
5. ~patient(paul) => ? [X0] : brave(X0) [input p4]
14. ? [X0] : (brave(X0) | ~creative(X0)) => ? [X0] : (tall(X0) & ~tall(X0)) ... | 0 |
Everyone who is both not strong and creative is not quiet or not old and vice versa. If someone is not calm then someone is calm and vice versa. Everyone who is both not rich and brave is not patient and vice versa. Everyone who is either rich or old is not tall or not brave and vice versa. If someone is brave then som... | Mary is old. | neutral | (![X]:((~strong(X)&creative(X))<=>(~quiet(X)|~old(X))))&
((?[X]:(~calm(X)))<=>(?[X]:(calm(X))))&
(![X]:((~rich(X)&brave(X))<=>~patient(X)))&
(![X]:((rich(X)<~>old(X))<=>(~tall(X)|~brave(X))))&
((?[X]:(brave(X)))<=>(?[X]:(funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>((~strong(paul)&funny(paul))))&
((?[X]:((rich(X)&~st... | old(mary) | [] | null | 0 |
If john is both not wise and not kind then paul is either not curious or old. If someone is either funny or not strong then lucy is both humble and calm and vice versa. If john is both brave and not brave then alice is either not wise or not tall and vice versa. If someone is curious or not kind then john is not kind o... | Susan is not generous. | neutral | (((~wise(john)&~kind(john)))=>((~curious(paul)<~>old(paul))))&
((?[X]:((funny(X)<~>~strong(X))))<=>((humble(lucy)&calm(lucy))))&
(((brave(john)&~brave(john)))<=>((~wise(alice)<~>~tall(alice))))&
((?[X]:((curious(X)|~kind(X))))=>((~kind(john)|~happy(john))))&
(![X]:((creative(X)&~wise(X))<=>(~brave(X)<~>~patient(X))))&
... | ~generous(susan) | [] | null | 0 |
If someone is either not generous or calm then susan is both not rich and rich and vice versa.
If paul is either humble or not happy then someone is not old and vice versa.
Everyone who is not funny or creative is rich or wise.
If someone is either not happy or not humble then someone is both funny and not wise and vic... | John is kind. | contradiction | ((?[X]:((~generous(X)<~>calm(X))))<=>((~rich(susan)&rich(susan))))&
(((humble(paul)<~>~happy(paul)))<=>(?[X]:(~old(X))))&
(![X]:((~funny(X)|creative(X))=>(rich(X)|wise(X))))&
((?[X]:((~happy(X)<~>~humble(X))))<=>(?[X]:((funny(X)&~wise(X)))))&
(![X]:((~quiet(X)&creative(X))=>(funny(X)|curious(X))))&
(![X]:((brave(X)|wis... | kind(john) | [
"p5",
"p6",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8921482297048996699831774
% SZS output start Proof for 8921482297048996699831774
6. ! [X0] : ((wise(X0) | brave(X0)) <=> (~brave(X0) & generous(X0))) [input p5]
7. (kind(john) | ~funny(john)) => (creative(paul) & wise(paul)) [input p6]
8. ! [X0] : (creative(X0) <=> ~generous(X0)) [input p... | 0 |
Everyone who is not kind is both kind and quiet.
If someone is old or not creative then john is both patient and creative and vice versa.
If lucy is either not patient or brave then lucy is curious.
Everyone who is not brave is rich or humble and vice versa.
Everyone who is either not curious or rich is either wise or ... | John is not generous. | entailment | (![X]:(~kind(X)=>(kind(X)&quiet(X))))&
((?[X]:((old(X)|~creative(X))))<=>((patient(john)&creative(john))))&
(((~patient(lucy)<~>brave(lucy)))=>(curious(lucy)))&
(![X]:(~brave(X)<=>(rich(X)|humble(X))))&
(![X]:((~curious(X)<~>rich(X))=>(wise(X)<~>creative(X))))&
((?[X]:((generous(X)<~>~patient(X))))<=>(?[X]:((wise(X)|~c... | ~generous(john) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 921745229326543817502438
% SZS output start Proof for 921745229326543817502438
1. ! [X0] : (~kind(X0) => (quiet(X0) & kind(X0))) [input p0]
15. ! [X0] : ((kind(X0) | wise(X0)) <=> (quiet(X0) & ~generous(X0))) [input p14]
24. generous(john) [input hypothesis]
27. ! [X0] : ((quiet(X0) & kin... | 0 |
Everyone who is not strong is strong or calm. Everyone who is not brave is either not rich or brave and vice versa. Everyone who is either not brave or old is tall or not happy. Everyone who is creative is either not quiet or not patient and vice versa. If fred is either not happy or funny then mary is calm or patient.... | Susan is rich. | contradiction | (![X]:(~strong(X)=>(strong(X)|calm(X))))&
(![X]:(~brave(X)<=>(~rich(X)<~>brave(X))))&
(![X]:((~brave(X)<~>old(X))=>(tall(X)|~happy(X))))&
(![X]:(creative(X)<=>(~quiet(X)<~>~patient(X))))&
(((~happy(fred)<~>funny(fred)))=>((calm(mary)|patient(mary))))&
((?[X]:((wise(X)<~>~wise(X))))<=>((~kind(lucy)|old(lucy))))&
(![X]:(... | rich(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7947381877319571341344364
% SZS output start Proof for 7947381877319571341344364
2. ! [X0] : (~brave(X0) <=> (~rich(X0) <~> brave(X0))) [input p1]
24. rich(susan) [input hypothesis]
41. ! [X0] : ((~brave(X0) | ((~rich(X0) | ~brave(X0)) & (brave(X0) | rich(X0)))) & (((~brave(X0) | rich(X0)... | 0 |
If someone is generous or not quiet then susan is not brave or old and vice versa.
If someone is patient or generous then someone is either not kind or not funny and vice versa.
Everyone who is not quiet is both not old and tall and vice versa.
Everyone who is tall or not curious is either happy or not brave and vice v... | Alice is kind. | entailment | ((?[X]:((generous(X)|~quiet(X))))<=>((~brave(susan)|old(susan))))&
((?[X]:((patient(X)|generous(X))))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:(~quiet(X)<=>(~old(X)&tall(X))))&
(![X]:((tall(X)|~curious(X))<=>(happy(X)<~>~brave(X))))&
(((strong(john)|~brave(john)))<=>((funny(john)<~>patient(john))))&
(![X]:((~calm(X)<~... | kind(alice) | [
"p5",
"p9",
"p10",
"p14",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7446604694455626023880177
% SZS output start Proof for 7446604694455626023880177
6. ! [X0] : ((~calm(X0) <~> kind(X0)) <=> (~generous(X0) | ~rich(X0))) [input p5]
10. ! [X0] : (~old(X0) <=> ~strong(X0)) [input p9]
11. ! [X0] : (rich(X0) <=> (happy(X0) <~> tall(X0))) [input p10]
15. ! [X0]... | 0 |
If someone is happy or not wise then someone is old and vice versa.
Everyone who is both not curious and not wise is both not generous and old.
If susan is not generous then someone is rich.
Everyone who is either not curious or curious is not quiet.
If fred is either quiet or not generous then fred is either old or ta... | Susan is not kind. | contradiction | ((?[X]:((happy(X)|~wise(X))))<=>(?[X]:(old(X))))&
(![X]:((~curious(X)&~wise(X))=>(~generous(X)&old(X))))&
((~generous(susan))=>(?[X]:(rich(X))))&
(![X]:((~curious(X)<~>curious(X))=>~quiet(X)))&
(((quiet(fred)<~>~generous(fred)))=>((old(fred)<~>tall(fred))))&
((?[X]:((~funny(X)&tall(X))))<=>(?[X]:((tall(X)<~>humble(X)))... | ~kind(susan) | [
"p3",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 704195314794187017615169
% SZS output start Proof for 704195314794187017615169
4. ! [X0] : ((~curious(X0) <~> curious(X0)) => ~quiet(X0)) [input p3]
7. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> (wise(X0) & ~happy(X0))) [input p6]
12. ! [X0] : ((quiet(X0) & funny(X0)) <=> ~happy(X0)) [input ... | 0 |
Everyone who is either strong or not generous is both creative and generous and vice versa.
Everyone who is both not old and rich is generous.
Everyone who is either not strong or not creative is either not funny or not quiet.
If lucy is not old or not rich then someone is both tall and brave.
If someone is either calm... | Fred is brave. | contradiction | (![X]:((strong(X)<~>~generous(X))<=>(creative(X)&generous(X))))&
(![X]:((~old(X)&rich(X))=>generous(X)))&
(![X]:((~strong(X)<~>~creative(X))=>(~funny(X)<~>~quiet(X))))&
(((~old(lucy)|~rich(lucy)))=>(?[X]:((tall(X)&brave(X)))))&
((?[X]:((calm(X)<~>~happy(X))))=>(?[X]:((calm(X)<~>creative(X)))))&
((~calm(john))<=>((stron... | brave(fred) | [
"p1",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1755789313411043583708791
% SZS output start Proof for 1755789313411043583708791
2. ! [X0] : ((rich(X0) & ~old(X0)) => generous(X0)) [input p1]
12. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> (rich(X0) & ~old(X0))) [input p11]
13. ! [X0] : (~curious(X0) => (~brave(X0) & ~funny(X0))) [input p... | 0 |
Everyone who is funny or old is either tall or not rich. Everyone who is both wise and humble is wise. Everyone who is not tall or brave is brave and vice versa. If susan is either not curious or not wise then john is both patient and not calm and vice versa. If fred is not wise then someone is kind or not funny and vi... | Mary is not brave. | contradiction | (![X]:((funny(X)|old(X))=>(tall(X)<~>~rich(X))))&
(![X]:((wise(X)&humble(X))=>wise(X)))&
(![X]:((~tall(X)|brave(X))<=>brave(X)))&
(((~curious(susan)<~>~wise(susan)))<=>((patient(john)&~calm(john))))&
((~wise(fred))<=>(?[X]:((kind(X)|~funny(X)))))&
((?[X]:((wise(X)&patient(X))))<=>(?[X]:((~calm(X)&~tall(X)))))&
((?[X]:(... | ~brave(mary) | [
"p2",
"p4",
"p6",
"p11",
"p13",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7811994604996372625650599
% SZS output start Proof for 7811994604996372625650599
3. ! [X0] : ((brave(X0) | ~tall(X0)) <=> brave(X0)) [input p2]
5. ~wise(fred) <=> ? [X0] : (~funny(X0) | kind(X0)) [input p4]
7. ? [X0] : ~happy(X0) <=> (old(mary) <~> ~rich(mary)) [input p6]
12. ! [X0] : ((~... | 0 |
Everyone who is either not rich or not humble is either patient or not creative. Everyone who is both not strong and rich is not humble. Everyone who is calm is not patient or not strong. If someone is quiet or brave then susan is tall. Everyone who is patient or not patient is happy or humble and vice versa. Everyone ... | Fred is not brave. | contradiction | (![X]:((~rich(X)<~>~humble(X))=>(patient(X)<~>~creative(X))))&
(![X]:((~strong(X)&rich(X))=>~humble(X)))&
(![X]:(calm(X)=>(~patient(X)|~strong(X))))&
((?[X]:((quiet(X)|brave(X))))=>(tall(susan)))&
(![X]:((patient(X)|~patient(X))<=>(happy(X)|humble(X))))&
(![X]:((~strong(X)&patient(X))<=>(strong(X)|~strong(X))))&
(![X]:... | ~brave(fred) | [
"p5",
"p7",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6011323006715193921876564
% SZS output start Proof for 6011323006715193921876564
6. ! [X0] : ((patient(X0) & ~strong(X0)) <=> (~strong(X0) | strong(X0))) [input p5]
8. ! [X0] : ((generous(X0) & ~strong(X0)) <=> (~brave(X0) | quiet(X0))) [input p7]
11. ! [X0] : (generous(X0) <=> (wise(X0) ... | 0 |
Everyone who is either happy or patient is either not strong or not quiet. If someone is not creative then someone is either tall or funny. If someone is both funny and strong then alice is both quiet and not curious and vice versa. If someone is not old then someone is curious and vice versa. Everyone who is kind is n... | Susan is kind. | contradiction | (![X]:((happy(X)<~>patient(X))=>(~strong(X)<~>~quiet(X))))&
((?[X]:(~creative(X)))=>(?[X]:((tall(X)<~>funny(X)))))&
((?[X]:((funny(X)&strong(X))))<=>((quiet(alice)&~curious(alice))))&
((?[X]:(~old(X)))<=>(?[X]:(curious(X))))&
(![X]:(kind(X)=>~kind(X)))&
((?[X]:((~curious(X)<~>quiet(X))))<=>(?[X]:((tall(X)|brave(X)))))&... | kind(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 39370666341487159341347
% SZS output start Proof for 39370666341487159341347
5. ! [X0] : (kind(X0) => ~kind(X0)) [input p4]
21. kind(susan) [input hypothesis]
30. ! [X0] : (~kind(X0) | ~kind(X0)) [ennf transformation 5]
96. ~kind(X0) | ~kind(X0) [cnf transformation 30]
143. kind(susan) [c... | 0 |
Everyone who is either not curious or not patient is not happy and vice versa. If paul is either old or creative then paul is not calm. Everyone who is either not wise or wise is both not happy and wise. Everyone who is either quiet or tall is not funny or not kind and vice versa. Everyone who is not strong is both pat... | Fred is calm. | contradiction | (![X]:((~curious(X)<~>~patient(X))<=>~happy(X)))&
(((old(paul)<~>creative(paul)))=>(~calm(paul)))&
(![X]:((~wise(X)<~>wise(X))=>(~happy(X)&wise(X))))&
(![X]:((quiet(X)<~>tall(X))<=>(~funny(X)|~kind(X))))&
(![X]:(~strong(X)<=>(patient(X)&creative(X))))&
(![X]:(~patient(X)=>(wise(X)&tall(X))))&
((?[X]:((~kind(X)<~>creati... | calm(fred) | [
"p2",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3985786282357598103462012
% SZS output start Proof for 3985786282357598103462012
3. ! [X0] : ((~wise(X0) <~> wise(X0)) => (wise(X0) & ~happy(X0))) [input p2]
14. ? [X0] : (~calm(X0) <~> ~happy(X0)) <=> (~rich(paul) & ~tall(paul)) [input p13]
16. ! [X0] : ((tall(X0) <~> wise(X0)) <=> ~wise... | 0 |
If fred is both wise and quiet then someone is not wise and vice versa.
Everyone who is not generous is not humble or strong and vice versa.
If paul is either tall or calm then john is either not calm or brave.
Everyone who is not generous is either not creative or kind and vice versa.
Everyone who is either creative o... | Paul is strong. | entailment | (((wise(fred)&quiet(fred)))<=>(?[X]:(~wise(X))))&
(![X]:(~generous(X)<=>(~humble(X)|strong(X))))&
(((tall(paul)<~>calm(paul)))=>((~calm(john)<~>brave(john))))&
(![X]:(~generous(X)<=>(~creative(X)<~>kind(X))))&
(![X]:((creative(X)<~>~patient(X))<=>(~calm(X)&strong(X))))&
(![X]:(~kind(X)=>(wise(X)|funny(X))))&
(![X]:((ca... | strong(paul) | [
"p1",
"p3",
"p12",
"p14",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2704738457521905126370810
% SZS output start Proof for 2704738457521905126370810
2. ! [X0] : (~generous(X0) <=> (strong(X0) | ~humble(X0))) [input p1]
4. ! [X0] : (~generous(X0) <=> (~creative(X0) <~> kind(X0))) [input p3]
13. ! [X0] : ((strong(X0) | humble(X0)) <=> (~wise(X0) | ~funny(X0... | 0 |
Everyone who is either not happy or tall is tall and vice versa.
Everyone who is either not quiet or not patient is both not tall and rich.
If someone is both not brave and kind then susan is brave.
If someone is either not calm or quiet then someone is wise or not tall and vice versa.
If mary is either tall or kind th... | Mary is not quiet. | entailment | (![X]:((~happy(X)<~>tall(X))<=>tall(X)))&
(![X]:((~quiet(X)<~>~patient(X))=>(~tall(X)&rich(X))))&
((?[X]:((~brave(X)&kind(X))))=>(brave(susan)))&
((?[X]:((~calm(X)<~>quiet(X))))<=>(?[X]:((wise(X)|~tall(X)))))&
(((tall(mary)<~>kind(mary)))<=>(patient(mary)))&
(![X]:(~patient(X)=>(~kind(X)|~tall(X))))&
((?[X]:((quiet(X)&... | ~quiet(mary) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 918349218826078975994361
% SZS output start Proof for 918349218826078975994361
1. ! [X0] : ((~happy(X0) <~> tall(X0)) <=> tall(X0)) [input p0]
13. ! [X0] : ((tall(X0) | happy(X0)) <=> (~quiet(X0) & ~funny(X0))) [input p12]
23. quiet(mary) [input hypothesis]
41. ! [X0] : ((((~tall(X0) | ha... | 0 |
Everyone who is patient is strong and vice versa.
Everyone who is either happy or creative is either humble or rich.
Everyone who is calm is not generous and vice versa.
Everyone who is both not curious and happy is both not quiet and rich.
Everyone who is strong or curious is both not generous and quiet.
Everyone who ... | Lucy is not wise. | entailment | (![X]:(patient(X)<=>strong(X)))&
(![X]:((happy(X)<~>creative(X))=>(humble(X)<~>rich(X))))&
(![X]:(calm(X)<=>~generous(X)))&
(![X]:((~curious(X)&happy(X))=>(~quiet(X)&rich(X))))&
(![X]:((strong(X)|curious(X))=>(~generous(X)&quiet(X))))&
(![X]:(~curious(X)=>~wise(X)))&
((?[X]:((~generous(X)&quiet(X))))=>(?[X]:((happy(X)|... | ~wise(lucy) | [
"p4",
"p5",
"p8",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3154657269622617036824406
% SZS output start Proof for 3154657269622617036824406
5. ! [X0] : ((curious(X0) | strong(X0)) => (quiet(X0) & ~generous(X0))) [input p4]
6. ! [X0] : (~curious(X0) => ~wise(X0)) [input p5]
9. ! [X0] : ((~old(X0) <~> ~generous(X0)) <=> (~rich(X0) | quiet(X0))) [in... | 0 |
Everyone who is not humble or not wise is both calm and humble and vice versa.
Everyone who is not happy is both patient and not curious.
Everyone who is not old is both generous and not brave and vice versa.
Everyone who is old or not funny is either old or calm.
Everyone who is either rich or not tall is either patie... | John is not strong. | contradiction | (![X]:((~humble(X)|~wise(X))<=>(calm(X)&humble(X))))&
(![X]:(~happy(X)=>(patient(X)&~curious(X))))&
(![X]:(~old(X)<=>(generous(X)&~brave(X))))&
(![X]:((old(X)|~funny(X))=>(old(X)<~>calm(X))))&
(![X]:((rich(X)<~>~tall(X))<=>(patient(X)<~>~brave(X))))&
(![X]:((funny(X)&rich(X))<=>(~calm(X)&~generous(X))))&
(![X]:((~calm(... | ~strong(john) | [
"p3",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1040052472524722267232528
% SZS output start Proof for 1040052472524722267232528
4. ! [X0] : ((~funny(X0) | old(X0)) => (old(X0) <~> calm(X0))) [input p3]
7. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~calm(X0) <~> calm(X0))) [input p6]
13. ! [X0] : ((old(X0) & ~strong(X0)) => (~strong(X0) ... | 0 |
Everyone who is both not rich and not kind is not humble and vice versa. If someone is not curious then someone is either funny or not generous. Everyone who is both not kind and not curious is not patient. Everyone who is both not humble and not creative is either not curious or not patient. Everyone who is old or ric... | Susan is funny. | contradiction | (![X]:((~rich(X)&~kind(X))<=>~humble(X)))&
((?[X]:(~curious(X)))=>(?[X]:((funny(X)<~>~generous(X)))))&
(![X]:((~kind(X)&~curious(X))=>~patient(X)))&
(![X]:((~humble(X)&~creative(X))=>(~curious(X)<~>~patient(X))))&
(![X]:((old(X)|rich(X))<=>(~rich(X)|strong(X))))&
(((old(alice)&~generous(alice)))=>(?[X]:((old(X)&~creati... | funny(susan) | [
"p6",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3342304499659649306125150
% SZS output start Proof for 3342304499659649306125150
7. ! [X0] : ((patient(X0) | ~quiet(X0)) => ~patient(X0)) [input p6]
8. ! [X0] : (funny(X0) => wise(X0)) [input p7]
11. ! [X0] : (~curious(X0) <=> funny(X0)) [input p10]
13. ? [X0] : (~curious(X0) & wise(X0)) ... | 0 |
If someone is not humble or not creative then someone is both happy and not quiet and vice versa.
If john is strong then lucy is generous or not tall and vice versa.
Everyone who is quiet is both brave and patient and vice versa.
Everyone who is not happy or kind is not old and vice versa.
Everyone who is brave or not ... | Lucy is strong. | entailment | ((?[X]:((~humble(X)|~creative(X))))<=>(?[X]:((happy(X)&~quiet(X)))))&
((strong(john))<=>((generous(lucy)|~tall(lucy))))&
(![X]:(quiet(X)<=>(brave(X)&patient(X))))&
(![X]:((~happy(X)|kind(X))<=>~old(X)))&
(![X]:((brave(X)|~strong(X))<=>(generous(X)&~kind(X))))&
(((old(alice)|~patient(alice)))=>(?[X]:((~quiet(X)&generous... | strong(lucy) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8051061308708580635358920
% SZS output start Proof for 8051061308708580635358920
11. ! [X0] : ((calm(X0) | ~wise(X0)) => wise(X0)) [input p10]
12. ? [X0] : ~strong(X0) <=> ~wise(paul) [input p11]
24. ~strong(lucy) [input hypothesis]
35. ! [X0] : (wise(X0) | (~calm(X0) & wise(X0))) [ennf t... | 0 |
If someone is humble then someone is both happy and creative.
If someone is both not old and not quiet then someone is either wise or not tall and vice versa.
If paul is quiet then someone is both not wise and not funny.
If mary is both brave and rich then paul is not curious.
Everyone who is both curious and brave is ... | John is old. | entailment | ((?[X]:(humble(X)))=>(?[X]:((happy(X)&creative(X)))))&
((?[X]:((~old(X)&~quiet(X))))<=>(?[X]:((wise(X)<~>~tall(X)))))&
((quiet(paul))=>(?[X]:((~wise(X)&~funny(X)))))&
(((brave(mary)&rich(mary)))=>(~curious(paul)))&
(![X]:((curious(X)&brave(X))<=>funny(X)))&
((tall(lucy))<=>(kind(lucy)))&
(((~creative(john)&~happy(john)... | old(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 217862893450946590411850
% SZS output start Proof for 217862893450946590411850
16. ! [X0] : ((old(X0) <~> ~curious(X0)) <=> curious(X0)) [input p15]
24. ~old(john) [input hypothesis]
76. ! [X0] : ((((curious(X0) | ~old(X0)) & (~curious(X0) | old(X0))) | ~curious(X0)) & (curious(X0) | ((ol... | 0 |
If susan is both patient and strong then someone is not humble. Everyone who is curious or not calm is both calm and brave and vice versa. If mary is rich then someone is both old and not generous and vice versa. If fred is not wise then mary is tall or humble and vice versa. If someone is both tall and generous then s... | Fred is not calm. | contradiction | (((patient(susan)&strong(susan)))=>(?[X]:(~humble(X))))&
(![X]:((curious(X)|~calm(X))<=>(calm(X)&brave(X))))&
((rich(mary))<=>(?[X]:((old(X)&~generous(X)))))&
((~wise(fred))<=>((tall(mary)|humble(mary))))&
((?[X]:((tall(X)&generous(X))))<=>((~rich(susan)|~funny(susan))))&
(![X]:((~happy(X)<~>patient(X))<=>(creative(X)&... | ~calm(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1453927273171782877553408
% SZS output start Proof for 1453927273171782877553408
2. ! [X0] : ((~calm(X0) | curious(X0)) <=> (brave(X0) & calm(X0))) [input p1]
24. ~calm(fred) [input hypothesis]
39. ! [X0] : (((~calm(X0) | curious(X0)) | (~brave(X0) | ~calm(X0))) & ((brave(X0) & calm(X0)) ... | 0 |
Everyone who is either wise or generous is either creative or not rich. Everyone who is both not funny and patient is both wise and patient. Everyone who is patient or not happy is both creative and not tall. If john is either strong or not tall then alice is not humble and vice versa. If someone is either not happy or... | John is not patient. | entailment | (![X]:((wise(X)<~>generous(X))=>(creative(X)<~>~rich(X))))&
(![X]:((~funny(X)&patient(X))=>(wise(X)&patient(X))))&
(![X]:((patient(X)|~happy(X))=>(creative(X)&~tall(X))))&
(((strong(john)<~>~tall(john)))<=>(~humble(alice)))&
((?[X]:((~happy(X)<~>~old(X))))<=>(?[X]:((patient(X)<~>~wise(X)))))&
(((wise(fred)&~tall(fred))... | ~patient(john) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7541479348951911105594908
% SZS output start Proof for 7541479348951911105594908
18. ~patient(john) & brave(john) [input p17]
23. patient(john) [input hypothesis]
152. ~patient(john) [cnf transformation 18]
158. patient(john) [cnf transformation 23]
388. $false [subsumption resolution 158... | 0 |
Everyone who is either not rich or calm is funny or not funny and vice versa. If mary is either happy or not happy then paul is strong or not funny and vice versa. Everyone who is humble is both curious and not calm and vice versa. Everyone who is either not tall or wise is not creative or patient. Everyone who is both... | Fred is calm. | entailment | (![X]:((~rich(X)<~>calm(X))<=>(funny(X)|~funny(X))))&
(((happy(mary)<~>~happy(mary)))<=>((strong(paul)|~funny(paul))))&
(![X]:(humble(X)<=>(curious(X)&~calm(X))))&
(![X]:((~tall(X)<~>wise(X))=>(~creative(X)|patient(X))))&
(![X]:((~rich(X)&tall(X))=>(happy(X)&rich(X))))&
((?[X]:((kind(X)|funny(X))))<=>(?[X]:((~humble(X)... | calm(fred) | [
"p0",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3646496873657999316653859
% SZS output start Proof for 3646496873657999316653859
1. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> (~funny(X0) | funny(X0))) [input p0]
5. ! [X0] : ((tall(X0) & ~rich(X0)) => (rich(X0) & happy(X0))) [input p4]
15. ! [X0] : (tall(X0) <=> (~rich(X0) | ~old(X0))) [inp... | 0 |
If mary is not strong or not old then someone is not quiet.
Everyone who is wise or kind is curious and vice versa.
If someone is both calm and tall then someone is both patient and not strong and vice versa.
If someone is funny or not brave then fred is not rich or strong and vice versa.
Everyone who is either not cur... | Mary is not calm. | contradiction | (((~strong(mary)|~old(mary)))=>(?[X]:(~quiet(X))))&
(![X]:((wise(X)|kind(X))<=>curious(X)))&
((?[X]:((calm(X)&tall(X))))<=>(?[X]:((patient(X)&~strong(X)))))&
((?[X]:((funny(X)|~brave(X))))<=>((~rich(fred)|strong(fred))))&
(![X]:((~curious(X)<~>funny(X))<=>(happy(X)|generous(X))))&
(![X]:(generous(X)<=>(strong(X)|creati... | ~calm(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2151676762306696764453251
% SZS output start Proof for 2151676762306696764453251
7. ! [X0] : (~calm(X0) <=> (calm(X0) & generous(X0))) [input p6]
23. ~calm(mary) [input hypothesis]
50. ! [X0] : ((~calm(X0) | (~calm(X0) | ~generous(X0))) & ((calm(X0) & generous(X0)) | calm(X0))) [nnf trans... | 0 |
If susan is either not kind or not quiet then someone is both not rich and not tall. Everyone who is either not strong or generous is rich. If mary is not strong then john is either patient or not rich and vice versa. Everyone who is either not funny or curious is rich or not tall. If someone is calm or strong then som... | Fred is patient. | contradiction | (((~kind(susan)<~>~quiet(susan)))=>(?[X]:((~rich(X)&~tall(X)))))&
(![X]:((~strong(X)<~>generous(X))=>rich(X)))&
((~strong(mary))<=>((patient(john)<~>~rich(john))))&
(![X]:((~funny(X)<~>curious(X))=>(rich(X)|~tall(X))))&
((?[X]:((calm(X)|strong(X))))<=>(?[X]:((wise(X)&~patient(X)))))&
((?[X]:((calm(X)|~patient(X))))=>((... | patient(fred) | [
"p1",
"p7",
"p9",
"p11",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5211377684949296539648134
% SZS output start Proof for 5211377684949296539648134
2. ! [X0] : ((~strong(X0) <~> generous(X0)) => rich(X0)) [input p1]
8. ! [X0] : ((~quiet(X0) | rich(X0)) => (~quiet(X0) & humble(X0))) [input p7]
10. ? [X0] : (~creative(X0) | funny(X0)) <=> (kind(fred) | str... | 0 |
Everyone who is not rich or not brave is not patient and vice versa.
Everyone who is either kind or patient is not brave.
If someone is either rich or happy then someone is either brave or not patient and vice versa.
If someone is not happy then someone is both generous and not brave and vice versa.
If someone is eithe... | Mary is rich. | entailment | (![X]:((~rich(X)|~brave(X))<=>~patient(X)))&
(![X]:((kind(X)<~>patient(X))=>~brave(X)))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((brave(X)<~>~patient(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((brave(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
(((~brave(mary)|wise(mary)))=>((kind(paul)&~wise(p... | rich(mary) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8922406087694259143911750
% SZS output start Proof for 8922406087694259143911750
1. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> ~patient(X0)) [input p0]
14. ! [X0] : ((rich(X0) <~> ~patient(X0)) => patient(X0)) [input p13]
21. ~rich(mary) [input hypothesis]
35. ! [X0] : (patient(X0) | (rich(X0... | 0 |
Everyone who is either not calm or not funny is strong.
If lucy is brave or humble then someone is not generous or humble and vice versa.
Everyone who is patient or not old is both not quiet and tall.
Everyone who is rich is strong or not strong.
If mary is both calm and not creative then susan is both old and not gene... | Mary is funny. | contradiction | (![X]:((~calm(X)<~>~funny(X))=>strong(X)))&
(((brave(lucy)|humble(lucy)))<=>(?[X]:((~generous(X)|humble(X)))))&
(![X]:((patient(X)|~old(X))=>(~quiet(X)&tall(X))))&
(![X]:(rich(X)=>(strong(X)|~strong(X))))&
(((calm(mary)&~creative(mary)))=>((old(susan)&~generous(susan))))&
(![X]:(~rich(X)<=>brave(X)))&
(((~generous(paul... | funny(mary) | [
"p5",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9462330856862875655986
% SZS output start Proof for 9462330856862875655986
6. ! [X0] : (~rich(X0) <=> brave(X0)) [input p5]
16. ! [X0] : ((rich(X0) & ~brave(X0)) <=> funny(X0)) [input p15]
22. ~wise(mary) & ~rich(mary) [input p21]
25. funny(mary) [input hypothesis]
26. ~rich(mary) [pure p... | 0 |
Everyone who is either curious or brave is tall or humble.
If john is both not generous and not patient then alice is not rich.
Everyone who is both not happy and not tall is both humble and old.
Everyone who is both not generous and calm is either not kind or old and vice versa.
Everyone who is not generous is both ki... | Lucy is not patient. | neutral | (![X]:((curious(X)<~>brave(X))=>(tall(X)|humble(X))))&
(((~generous(john)&~patient(john)))=>(~rich(alice)))&
(![X]:((~happy(X)&~tall(X))=>(humble(X)&old(X))))&
(![X]:((~generous(X)&calm(X))<=>(~kind(X)<~>old(X))))&
(![X]:(~generous(X)<=>(kind(X)&~quiet(X))))&
(![X]:((humble(X)|generous(X))<=>(~wise(X)|~happy(X))))&
(((... | ~patient(lucy) | [] | null | 0 |
Everyone who is both old and not creative is not rich or not generous and vice versa.
If someone is either not happy or not kind then someone is either not funny or curious.
If someone is quiet or not calm then paul is humble and vice versa.
If someone is not old then fred is both humble and not kind.
Everyone who is b... | Fred is quiet. | neutral | (![X]:((old(X)&~creative(X))<=>(~rich(X)|~generous(X))))&
((?[X]:((~happy(X)<~>~kind(X))))=>(?[X]:((~funny(X)<~>curious(X)))))&
((?[X]:((quiet(X)|~calm(X))))<=>(humble(paul)))&
((?[X]:(~old(X)))=>((humble(fred)&~kind(fred))))&
(![X]:((~calm(X)&strong(X))<=>(quiet(X)&~quiet(X))))&
((?[X]:((~curious(X)<~>~old(X))))<=>((~... | quiet(fred) | [] | null | 0 |
If john is both kind and not funny then someone is not creative. Everyone who is either not happy or not quiet is both tall and not creative. Everyone who is quiet is not rich or not calm. If john is either strong or generous then someone is either not brave or not humble and vice versa. Everyone who is not tall is bot... | Susan is patient. | neutral | (((kind(john)&~funny(john)))=>(?[X]:(~creative(X))))&
(![X]:((~happy(X)<~>~quiet(X))=>(tall(X)&~creative(X))))&
(![X]:(quiet(X)=>(~rich(X)|~calm(X))))&
(((strong(john)<~>generous(john)))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(![X]:(~tall(X)=>(~curious(X)&~strong(X))))&
(![X]:((rich(X)<~>wise(X))=>(~quiet(X)&~humble(X))... | patient(susan) | [] | null | 0 |
If someone is either tall or not kind then someone is both happy and calm and vice versa. Everyone who is strong or rich is not kind or not rich. Everyone who is not rich or funny is either not curious or kind. If alice is both patient and not happy then someone is either not curious or not old. Everyone who is not wis... | Alice is rich. | contradiction | ((?[X]:((tall(X)<~>~kind(X))))<=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((strong(X)|rich(X))=>(~kind(X)|~rich(X))))&
(![X]:((~rich(X)|funny(X))=>(~curious(X)<~>kind(X))))&
(((patient(alice)&~happy(alice)))=>(?[X]:((~curious(X)<~>~old(X)))))&
(![X]:((~wise(X)|~old(X))<=>(rich(X)&~wise(X))))&
(((~brave(john)|~kind(john)))=>... | rich(alice) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7652744548693845375390023
% SZS output start Proof for 7652744548693845375390023
8. ! [X0] : ((creative(X0) | ~creative(X0)) => funny(X0)) [input p7]
11. ? [X0] : (~funny(X0) & old(X0)) <=> ? [X0] : rich(X0) [input p10]
22. rich(alice) [input hypothesis]
26. ? [X0] : (~funny(X0) & old(X0)... | 0 |
If someone is both not strong and calm then fred is not creative and vice versa.
Everyone who is quiet is either curious or strong and vice versa.
Everyone who is both not rich and brave is either tall or not funny and vice versa.
Everyone who is strong is either not strong or happy.
Everyone who is tall is both rich a... | Susan is generous. | neutral | ((?[X]:((~strong(X)&calm(X))))<=>(~creative(fred)))&
(![X]:(quiet(X)<=>(curious(X)<~>strong(X))))&
(![X]:((~rich(X)&brave(X))<=>(tall(X)<~>~funny(X))))&
(![X]:(strong(X)=>(~strong(X)<~>happy(X))))&
(![X]:(tall(X)<=>(rich(X)&creative(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>(humble(X)&~calm(X))))&
(![X]:((~tall(X)&~br... | generous(susan) | [] | null | 0 |
Everyone who is either not curious or generous is humble and vice versa. Everyone who is old is either happy or not creative. Everyone who is both wise and rich is not curious and vice versa. Everyone who is both not strong and rich is not patient or not humble and vice versa. Everyone who is kind or not patient is not... | John is not quiet. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((wise(X)&rich(X))<=>~curious(X)))&
(![X]:((~strong(X)&rich(X))<=>(~patient(X)|~humble(X))))&
(![X]:((kind(X)|~patient(X))<=>(~creative(X)|wise(X))))&
(![X]:(~old(X)<=>(~calm(X)<~>~wise(X))))&
(![X]:(wise(X)<=>(happy(X)|... | ~quiet(john) | [
"p1",
"p5",
"p8",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4655601805042322684769454
% SZS output start Proof for 4655601805042322684769454
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
6. ! [X0] : (~old(X0) <=> (~calm(X0) <~> ~wise(X0))) [input p5]
9. ? [X0] : ~wise(X0) <=> (~funny(fred) & creative(fred)) [input p8]
12. (~ric... | 0 |
Everyone who is either not tall or not curious is both rich and happy and vice versa.
Everyone who is either not funny or not tall is not brave.
If someone is either not strong or not calm then paul is both quiet and humble.
If someone is both not happy and not curious then someone is curious or not kind and vice versa... | Susan is not funny. | entailment | (![X]:((~tall(X)<~>~curious(X))<=>(rich(X)&happy(X))))&
(![X]:((~funny(X)<~>~tall(X))=>~brave(X)))&
((?[X]:((~strong(X)<~>~calm(X))))=>((quiet(paul)&humble(paul))))&
((?[X]:((~happy(X)&~curious(X))))<=>(?[X]:((curious(X)|~kind(X)))))&
(![X]:((~curious(X)|~happy(X))=>(~kind(X)<~>~patient(X))))&
(![X]:(humble(X)=>(old(X)... | ~funny(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5833338904552485481432270
% SZS output start Proof for 5833338904552485481432270
21. ~funny(susan) & patient(susan) [input p20]
24. funny(susan) [input hypothesis]
153. ~funny(susan) [cnf transformation 21]
157. funny(susan) [cnf transformation 24]
376. $false [subsumption resolution 157,... | 0 |
Everyone who is strong or not rich is not patient and vice versa.
If alice is either not happy or creative then susan is either generous or not funny.
Everyone who is funny or not strong is not humble.
Everyone who is both not quiet and not calm is strong.
Everyone who is either not happy or not strong is wise or not t... | John is brave. | entailment | (![X]:((strong(X)|~rich(X))<=>~patient(X)))&
(((~happy(alice)<~>creative(alice)))=>((generous(susan)<~>~funny(susan))))&
(![X]:((funny(X)|~strong(X))=>~humble(X)))&
(![X]:((~quiet(X)&~calm(X))=>strong(X)))&
(![X]:((~happy(X)<~>~strong(X))<=>(wise(X)|~tall(X))))&
(![X]:(strong(X)=>(~kind(X)<~>creative(X))))&
(![X]:((old... | brave(john) | [
"p5",
"p8",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2775156286076592813981002
% SZS output start Proof for 2775156286076592813981002
6. ! [X0] : (strong(X0) => (~kind(X0) <~> creative(X0))) [input p5]
9. ! [X0] : ((~funny(X0) | tall(X0)) <=> (generous(X0) & ~kind(X0))) [input p8]
12. ! [X0] : (strong(X0) <=> (~rich(X0) | ~brave(X0))) [inpu... | 0 |
Everyone who is both old and not wise is humble or not brave and vice versa.
Everyone who is either not brave or happy is not patient and vice versa.
If susan is either not patient or old then someone is not generous and vice versa.
Everyone who is not curious is curious or creative.
If someone is not brave then john i... | Mary is not tall. | entailment | (![X]:((old(X)&~wise(X))<=>(humble(X)|~brave(X))))&
(![X]:((~brave(X)<~>happy(X))<=>~patient(X)))&
(((~patient(susan)<~>old(susan)))<=>(?[X]:(~generous(X))))&
(![X]:(~curious(X)=>(curious(X)|creative(X))))&
((?[X]:(~brave(X)))=>((generous(john)<~>calm(john))))&
(![X]:((creative(X)&~patient(X))=>kind(X)))&
((?[X]:((~kin... | ~tall(mary) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p8",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 61025223863462326502037
% SZS output start Proof for 61025223863462326502037
1. ! [X0] : ((~wise(X0) & old(X0)) <=> (~brave(X0) | humble(X0))) [input p0]
2. ! [X0] : ((~brave(X0) <~> happy(X0)) <=> ~patient(X0)) [input p1]
4. ! [X0] : (~curious(X0) => (creative(X0) | curious(X0))) [input ... | 0 |
Everyone who is both not happy and not strong is not quiet or tall.
Everyone who is not generous or not quiet is both humble and curious and vice versa.
If mary is both rich and kind then someone is either not quiet or not generous and vice versa.
Everyone who is curious is not happy.
Everyone who is both not curious a... | John is rich. | neutral | (![X]:((~happy(X)&~strong(X))=>(~quiet(X)|tall(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(humble(X)&curious(X))))&
(((rich(mary)&kind(mary)))<=>(?[X]:((~quiet(X)<~>~generous(X)))))&
(![X]:(curious(X)=>~happy(X)))&
(![X]:((~curious(X)&wise(X))=>(~kind(X)&happy(X))))&
(((~old(john)&~calm(john)))<=>((~tall(john)|~generous(... | rich(john) | [] | null | 0 |
If john is either curious or old then someone is curious or kind and vice versa.
Everyone who is not humble or creative is either not calm or humble.
Everyone who is both calm and funny is both humble and kind.
Everyone who is funny or not rich is not humble.
If someone is not creative or generous then someone is curio... | Paul is rich. | entailment | (((curious(john)<~>old(john)))<=>(?[X]:((curious(X)|kind(X)))))&
(![X]:((~humble(X)|creative(X))=>(~calm(X)<~>humble(X))))&
(![X]:((calm(X)&funny(X))=>(humble(X)&kind(X))))&
(![X]:((funny(X)|~rich(X))=>~humble(X)))&
((?[X]:((~creative(X)|generous(X))))<=>(?[X]:((curious(X)|rich(X)))))&
(![X]:((creative(X)&old(X))<=>cre... | rich(paul) | [
"p1",
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1902918550287379894628150
% SZS output start Proof for 1902918550287379894628150
2. ! [X0] : ((creative(X0) | ~humble(X0)) => (~calm(X0) <~> humble(X0))) [input p1]
4. ! [X0] : ((~rich(X0) | funny(X0)) => ~humble(X0)) [input p3]
7. ! [X0] : ((~humble(X0) | ~calm(X0)) <=> (calm(X0) <~> ~wi... | 0 |
If someone is both strong and not brave then someone is generous or not rich and vice versa.
Everyone who is both not funny and not happy is tall and vice versa.
Everyone who is both not creative and happy is both not quiet and calm and vice versa.
Everyone who is not creative or tall is both rich and old and vice vers... | Mary is not generous. | entailment | ((?[X]:((strong(X)&~brave(X))))<=>(?[X]:((generous(X)|~rich(X)))))&
(![X]:((~funny(X)&~happy(X))<=>tall(X)))&
(![X]:((~creative(X)&happy(X))<=>(~quiet(X)&calm(X))))&
(![X]:((~creative(X)|tall(X))<=>(rich(X)&old(X))))&
(![X]:((~curious(X)|~rich(X))<=>(~quiet(X)&patient(X))))&
((?[X]:((~curious(X)<~>old(X))))<=>(curious(... | ~generous(mary) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"p10",
"p12",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3717766619154148026370507
% SZS output start Proof for 3717766619154148026370507
3. ! [X0] : ((happy(X0) & ~creative(X0)) <=> (calm(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : ((tall(X0) | ~creative(X0)) <=> (old(X0) & rich(X0))) [input p3]
5. ! [X0] : ((~rich(X0) | ~curious(X0)) <=> (patie... | 0 |
If someone is kind then someone is generous or creative.
Everyone who is both not curious and old is both kind and creative and vice versa.
If someone is tall or not old then paul is not patient and vice versa.
If someone is not brave then john is funny and vice versa.
Everyone who is kind is rich or not funny.
Everyon... | Alice is curious. | entailment | ((?[X]:(kind(X)))=>(?[X]:((generous(X)|creative(X)))))&
(![X]:((~curious(X)&old(X))<=>(kind(X)&creative(X))))&
((?[X]:((tall(X)|~old(X))))<=>(~patient(paul)))&
((?[X]:(~brave(X)))<=>(funny(john)))&
(![X]:(kind(X)=>(rich(X)|~funny(X))))&
(![X]:(strong(X)=>~wise(X)))&
(![X]:((wise(X)&creative(X))=>(strong(X)<~>~generous(... | curious(alice) | [
"p1",
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5462363673438536196520561
% SZS output start Proof for 5462363673438536196520561
2. ! [X0] : ((old(X0) & ~curious(X0)) <=> (creative(X0) & kind(X0))) [input p1]
3. ? [X0] : (~old(X0) | tall(X0)) <=> ~patient(paul) [input p2]
8. ! [X0] : (funny(X0) <=> (~funny(X0) | ~kind(X0))) [input p7]
... | 0 |
If someone is both brave and happy then lucy is not kind or not happy and vice versa.
Everyone who is both happy and rich is either happy or generous.
If alice is creative or not quiet then lucy is not quiet.
If fred is both not old and not rich then someone is brave and vice versa.
Everyone who is both not generous an... | Lucy is funny. | entailment | ((?[X]:((brave(X)&happy(X))))<=>((~kind(lucy)|~happy(lucy))))&
(![X]:((happy(X)&rich(X))=>(happy(X)<~>generous(X))))&
(((creative(alice)|~quiet(alice)))=>(~quiet(lucy)))&
(((~old(fred)&~rich(fred)))<=>(?[X]:(brave(X))))&
(![X]:((~generous(X)&wise(X))<=>(~generous(X)<~>~patient(X))))&
((?[X]:((~strong(X)|kind(X))))=>(~r... | funny(lucy) | [
"p0",
"p6",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4529480664051184087369127
% SZS output start Proof for 4529480664051184087369127
1. ? [X0] : (happy(X0) & brave(X0)) <=> (~happy(lucy) | ~kind(lucy)) [input p0]
7. ! [X0] : ((~wise(X0) <~> kind(X0)) <=> (~wise(X0) & ~funny(X0))) [input p6]
9. ! [X0] : ((funny(X0) & ~brave(X0)) <=> ~creati... | 0 |
Everyone who is both strong and not quiet is either not old or patient and vice versa.
If paul is not calm or not generous then alice is not generous or not tall and vice versa.
If lucy is not patient then fred is either kind or tall.
If someone is both not humble and not creative then alice is tall and vice versa.
If ... | Fred is not wise. | neutral | (![X]:((strong(X)&~quiet(X))<=>(~old(X)<~>patient(X))))&
(((~calm(paul)|~generous(paul)))<=>((~generous(alice)|~tall(alice))))&
((~patient(lucy))=>((kind(fred)<~>tall(fred))))&
((?[X]:((~humble(X)&~creative(X))))<=>(tall(alice)))&
((?[X]:((strong(X)&~tall(X))))<=>(?[X]:(creative(X))))&
(![X]:((quiet(X)<~>~old(X))<=>bra... | ~wise(fred) | [] | null | 0 |
If someone is rich then someone is either old or not rich and vice versa. If someone is both not funny and strong then someone is both not humble and not funny. If someone is both not tall and tall then alice is not creative or not brave. Everyone who is not humble is both quiet and not curious and vice versa. Everyone... | Mary is generous. | neutral | ((?[X]:(rich(X)))<=>(?[X]:((old(X)<~>~rich(X)))))&
((?[X]:((~funny(X)&strong(X))))=>(?[X]:((~humble(X)&~funny(X)))))&
((?[X]:((~tall(X)&tall(X))))=>((~creative(alice)|~brave(alice))))&
(![X]:(~humble(X)<=>(quiet(X)&~curious(X))))&
(![X]:((~brave(X)|curious(X))<=>strong(X)))&
((?[X]:((~rich(X)|curious(X))))=>(?[X]:(~hap... | generous(mary) | [] | null | 0 |
If someone is not brave then someone is both not humble and rich. If someone is either happy or brave then someone is either not calm or tall. Everyone who is both not happy and not humble is not creative and vice versa. Everyone who is not kind is not old or kind and vice versa. Everyone who is generous or not curious... | Lucy is not calm. | contradiction | ((?[X]:(~brave(X)))=>(?[X]:((~humble(X)&rich(X)))))&
((?[X]:((happy(X)<~>brave(X))))=>(?[X]:((~calm(X)<~>tall(X)))))&
(![X]:((~happy(X)&~humble(X))<=>~creative(X)))&
(![X]:(~kind(X)<=>(~old(X)|kind(X))))&
(![X]:((generous(X)|~curious(X))=>(~calm(X)<~>~kind(X))))&
(![X]:(~generous(X)=>(humble(X)&~strong(X))))&
((?[X]:((... | ~calm(lucy) | [
"p0",
"p3",
"p4",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2466293443231146599809903
% SZS output start Proof for 2466293443231146599809903
1. ? [X0] : ~brave(X0) => ? [X0] : (rich(X0) & ~humble(X0)) [input p0]
4. ! [X0] : (~kind(X0) <=> (kind(X0) | ~old(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | generous(X0)) => (~calm(X0) <~> ~kind(X0))) [in... | 0 |
Everyone who is not humble is generous or humble and vice versa.
Everyone who is tall is both generous and strong and vice versa.
Everyone who is either not humble or not happy is both not patient and not happy and vice versa.
If someone is both calm and patient then someone is not calm and vice versa.
Everyone who is ... | Lucy is not patient. | contradiction | (![X]:(~humble(X)<=>(generous(X)|humble(X))))&
(![X]:(tall(X)<=>(generous(X)&strong(X))))&
(![X]:((~humble(X)<~>~happy(X))<=>(~patient(X)&~happy(X))))&
((?[X]:((calm(X)&patient(X))))<=>(?[X]:(~calm(X))))&
(![X]:((calm(X)<~>funny(X))=>(~creative(X)&~humble(X))))&
(![X]:((old(X)<~>brave(X))=>(~generous(X)<~>rich(X))))&
(... | ~patient(lucy) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7601884756645424619463865
% SZS output start Proof for 7601884756645424619463865
1. ! [X0] : (~humble(X0) <=> (humble(X0) | generous(X0))) [input p0]
3. ! [X0] : ((~humble(X0) <~> ~happy(X0)) <=> (~happy(X0) & ~patient(X0))) [input p2]
24. ~patient(lucy) [input hypothesis]
35. ! [X0] : ((... | 0 |
Everyone who is either not curious or kind is either not patient or creative. If someone is not rich or humble then alice is funny or brave and vice versa. If fred is either not calm or happy then someone is both not tall and funny and vice versa. If fred is either tall or not strong then someone is not funny or not br... | Fred is happy. | contradiction | (![X]:((~curious(X)<~>kind(X))=>(~patient(X)<~>creative(X))))&
((?[X]:((~rich(X)|humble(X))))<=>((funny(alice)|brave(alice))))&
(((~calm(fred)<~>happy(fred)))<=>(?[X]:((~tall(X)&funny(X)))))&
(((tall(fred)<~>~strong(fred)))<=>(?[X]:((~funny(X)|~brave(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X... | happy(fred) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8218817800158575975246934
% SZS output start Proof for 8218817800158575975246934
3. (~calm(fred) <~> happy(fred)) <=> ? [X0] : (funny(X0) & ~tall(X0)) [input p2]
6. ! [X0] : ((patient(X0) <~> ~calm(X0)) => (~happy(X0) & ~quiet(X0))) [input p5]
7. ! [X0] : (~old(X0) <=> generous(X0)) [inpu... | 0 |
If someone is either not generous or funny then someone is either not curious or kind and vice versa.
Everyone who is tall is curious or not patient and vice versa.
If someone is either rich or patient then john is both not kind and not creative and vice versa.
If someone is both happy and not happy then lucy is either... | Mary is not curious. | contradiction | ((?[X]:((~generous(X)<~>funny(X))))<=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:(tall(X)<=>(curious(X)|~patient(X))))&
((?[X]:((rich(X)<~>patient(X))))<=>((~kind(john)&~creative(john))))&
((?[X]:((happy(X)&~happy(X))))<=>((~happy(lucy)<~>generous(lucy))))&
(![X]:((~rich(X)<~>~patient(X))<=>(~quiet(X)<~>creative(X))))&
(... | ~curious(mary) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p13",
"p14",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 155586108310229123116374
% SZS output start Proof for 155586108310229123116374
2. ! [X0] : (tall(X0) <=> (~patient(X0) | curious(X0))) [input p1]
3. ? [X0] : (rich(X0) <~> patient(X0)) <=> (~creative(john) & ~kind(john)) [input p2]
5. ! [X0] : ((~rich(X0) <~> ~patient(X0)) <=> (~quiet(X0)... | 0 |
Everyone who is either humble or not quiet is not wise and vice versa. If someone is not tall then someone is either old or quiet and vice versa. If someone is both rich and funny then susan is happy. If john is not strong then someone is tall or not curious. Everyone who is kind is both humble and not kind. If mary is... | John is happy. | neutral | (![X]:((humble(X)<~>~quiet(X))<=>~wise(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((old(X)<~>quiet(X)))))&
((?[X]:((rich(X)&funny(X))))=>(happy(susan)))&
((~strong(john))=>(?[X]:((tall(X)|~curious(X)))))&
(![X]:(kind(X)=>(humble(X)&~kind(X))))&
(((patient(mary)|happy(mary)))=>((quiet(mary)<~>strong(mary))))&
(![X]:((happy(X)<~>o... | happy(john) | [] | null | 0 |
Everyone who is kind is either curious or not funny. If someone is either not generous or tall then someone is both happy and calm. If alice is either not rich or tall then fred is both happy and rich and vice versa. Everyone who is both not brave and quiet is not generous or curious. Everyone who is not kind or not hu... | Fred is old. | entailment | (![X]:(kind(X)=>(curious(X)<~>~funny(X))))&
((?[X]:((~generous(X)<~>tall(X))))=>(?[X]:((happy(X)&calm(X)))))&
(((~rich(alice)<~>tall(alice)))<=>((happy(fred)&rich(fred))))&
(![X]:((~brave(X)&quiet(X))=>(~generous(X)|curious(X))))&
(![X]:((~kind(X)|~humble(X))<=>(~happy(X)&rich(X))))&
(![X]:((~calm(X)<~>~creative(X))<=>... | old(fred) | [
"p0",
"p4",
"p8",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6221627448817095058752180
% SZS output start Proof for 6221627448817095058752180
1. ! [X0] : (kind(X0) => (curious(X0) <~> ~funny(X0))) [input p0]
5. ! [X0] : ((~humble(X0) | ~kind(X0)) <=> (rich(X0) & ~happy(X0))) [input p4]
9. ! [X0] : ((wise(X0) | ~old(X0)) => curious(X0)) [input p8]
2... | 0 |
If alice is either not quiet or kind then someone is kind or not humble.
Everyone who is either funny or not humble is rich or brave and vice versa.
If someone is not old then john is not humble or generous and vice versa.
If someone is calm or not strong then someone is curious.
Everyone who is not quiet or generous i... | Alice is happy. | neutral | (((~quiet(alice)<~>kind(alice)))=>(?[X]:((kind(X)|~humble(X)))))&
(![X]:((funny(X)<~>~humble(X))<=>(rich(X)|brave(X))))&
((?[X]:(~old(X)))<=>((~humble(john)|generous(john))))&
((?[X]:((calm(X)|~strong(X))))=>(?[X]:(curious(X))))&
(![X]:((~quiet(X)|generous(X))=>(~creative(X)<~>~wise(X))))&
(![X]:((~strong(X)|old(X))=>(... | happy(alice) | [] | null | 0 |
If mary is calm or patient then john is humble and vice versa.
Everyone who is not happy is not calm or calm and vice versa.
If alice is both calm and not rich then fred is both patient and old and vice versa.
If someone is not patient or brave then someone is both generous and happy.
If someone is curious then someone... | Paul is not rich. | contradiction | (((calm(mary)|patient(mary)))<=>(humble(john)))&
(![X]:(~happy(X)<=>(~calm(X)|calm(X))))&
(((calm(alice)&~rich(alice)))<=>((patient(fred)&old(fred))))&
((?[X]:((~patient(X)|brave(X))))=>(?[X]:((generous(X)&happy(X)))))&
((?[X]:(curious(X)))=>(?[X]:((funny(X)<~>~calm(X)))))&
(![X]:(~calm(X)=>(~kind(X)&~quiet(X))))&
(((~... | ~rich(paul) | [
"p1",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4233152514055782554931084
% SZS output start Proof for 4233152514055782554931084
2. ! [X0] : (~happy(X0) <=> (calm(X0) | ~calm(X0))) [input p1]
4. ? [X0] : (brave(X0) | ~patient(X0)) => ? [X0] : (happy(X0) & generous(X0)) [input p3]
9. ! [X0] : (rich(X0) <=> (kind(X0) | patient(X0))) [inp... | 0 |
Everyone who is not old is either not tall or not brave and vice versa.
If someone is funny then someone is quiet or curious and vice versa.
Everyone who is old is either happy or patient and vice versa.
If susan is not wise or not creative then susan is either not rich or kind.
If paul is both not rich and tall then j... | Paul is quiet. | contradiction | (![X]:(~old(X)<=>(~tall(X)<~>~brave(X))))&
((?[X]:(funny(X)))<=>(?[X]:((quiet(X)|curious(X)))))&
(![X]:(old(X)<=>(happy(X)<~>patient(X))))&
(((~wise(susan)|~creative(susan)))=>((~rich(susan)<~>kind(susan))))&
(((~rich(paul)&tall(paul)))=>((~funny(john)<~>~generous(john))))&
(((~humble(lucy)|~tall(lucy)))<=>(?[X]:((gene... | quiet(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1604055091390951056331007
% SZS output start Proof for 1604055091390951056331007
9. ! [X0] : ((quiet(X0) | humble(X0)) => (~quiet(X0) & patient(X0))) [input p8]
25. quiet(paul) [input hypothesis]
37. ! [X0] : ((~quiet(X0) & patient(X0)) | (~quiet(X0) & ~humble(X0))) [ennf transformation 9... | 0 |
Everyone who is both quiet and brave is not curious or creative and vice versa. Everyone who is not humble is not brave. If someone is not calm or strong then someone is not strong. Everyone who is both not wise and not strong is either kind or not patient. Everyone who is not strong is happy or not patient. Everyone w... | Alice is old. | neutral | (![X]:((quiet(X)&brave(X))<=>(~curious(X)|creative(X))))&
(![X]:(~humble(X)=>~brave(X)))&
((?[X]:((~calm(X)|strong(X))))=>(?[X]:(~strong(X))))&
(![X]:((~wise(X)&~strong(X))=>(kind(X)<~>~patient(X))))&
(![X]:(~strong(X)=>(happy(X)|~patient(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>(~generous(X)&quiet(X))))&
(![X]:(~humbl... | old(alice) | [] | null | 0 |
Everyone who is not happy is humble or not strong and vice versa. If john is not humble then paul is both not humble and kind. Everyone who is tall is curious. If someone is not calm then lucy is wise and vice versa. Everyone who is both not humble and patient is either not curious or not calm. Everyone who is both hum... | Paul is not happy. | entailment | (![X]:(~happy(X)<=>(humble(X)|~strong(X))))&
((~humble(john))=>((~humble(paul)&kind(paul))))&
(![X]:(tall(X)=>curious(X)))&
((?[X]:(~calm(X)))<=>(wise(lucy)))&
(![X]:((~humble(X)&patient(X))=>(~curious(X)<~>~calm(X))))&
(![X]:((humble(X)&~creative(X))=>(~strong(X)&brave(X))))&
(![X]:((humble(X)|happy(X))=>(~tall(X)&gen... | ~happy(paul) | [
"p0",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2297235181438796123294445
% SZS output start Proof for 2297235181438796123294445
1. ! [X0] : (~happy(X0) <=> (~strong(X0) | humble(X0))) [input p0]
7. ! [X0] : ((happy(X0) | humble(X0)) => (generous(X0) & ~tall(X0))) [input p6]
8. ! [X0] : ((generous(X0) & strong(X0)) => (~happy(X0) <~> ~... | 0 |
Everyone who is either generous or not calm is both rich and quiet.
Everyone who is not quiet is either not humble or wise.
If someone is tall then someone is happy and vice versa.
If someone is both not creative and not patient then someone is curious or old.
If susan is either not kind or not calm then alice is eithe... | Alice is patient. | entailment | (![X]:((generous(X)<~>~calm(X))=>(rich(X)&quiet(X))))&
(![X]:(~quiet(X)=>(~humble(X)<~>wise(X))))&
((?[X]:(tall(X)))<=>(?[X]:(happy(X))))&
((?[X]:((~creative(X)&~patient(X))))=>(?[X]:((curious(X)|old(X)))))&
(((~kind(susan)<~>~calm(susan)))=>((~happy(alice)<~>strong(alice))))&
(((tall(mary)|~tall(mary)))<=>(~wise(paul)... | patient(alice) | [
"p8",
"p10",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 47872548093653969132567
% SZS output start Proof for 47872548093653969132567
9. ! [X0] : ((~humble(X0) <~> ~patient(X0)) <=> (rich(X0) <~> ~rich(X0))) [input p8]
11. ! [X0] : ((wise(X0) | humble(X0)) => strong(X0)) [input p10]
19. curious(alice) <~> strong(alice) [input p18]
20. ~calm(ali... | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is not old and vice versa. If john is not old then fred is either not humble or not happy. If lucy is either generous or not funny then someone is quiet. If lucy is rich then someone is both wise and not brave. Everyone who i... | Fred is rich. | entailment | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>~old(X)))&
((~old(john))=>((~humble(fred)<~>~happy(fred))))&
(((generous(lucy)<~>~funny(lucy)))=>(?[X]:(quiet(X))))&
((rich(lucy))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((happy(X)|~strong(X))<=>(quiet(X)<~>curious(X))))&
((?[X]:(creative(X)... | rich(fred) | [
"p1",
"p7",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8549736688218376880664512
% SZS output start Proof for 8549736688218376880664512
2. ! [X0] : (~curious(X0) <=> ~old(X0)) [input p1]
8. (generous(fred) & curious(fred)) <=> ? [X0] : ~quiet(X0) [input p7]
11. ! [X0] : ((brave(X0) | quiet(X0)) => (curious(X0) <~> kind(X0))) [input p10]
16. !... | 0 |
If paul is humble or not wise then lucy is strong or not happy and vice versa.
If alice is either old or rich then someone is old or not strong and vice versa.
Everyone who is not calm is not strong and vice versa.
Everyone who is either not quiet or rich is not quiet.
Everyone who is curious is both not old and old.
E... | Alice is creative. | neutral | (((humble(paul)|~wise(paul)))<=>((strong(lucy)|~happy(lucy))))&
(((old(alice)<~>rich(alice)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:(~calm(X)<=>~strong(X)))&
(![X]:((~quiet(X)<~>rich(X))=>~quiet(X)))&
(![X]:(curious(X)=>(~old(X)&old(X))))&
(![X]:(patient(X)=>(~brave(X)&~tall(X))))&
(((tall(paul)<~>creative(paul)))=>((... | creative(alice) | [] | null | 0 |
Everyone who is either wise or not kind is kind. Everyone who is not curious is brave and vice versa. If someone is old or strong then someone is patient or wise. If susan is both calm and not creative then paul is strong or not calm and vice versa. Everyone who is either not brave or funny is either not patient or old... | Paul is humble. | entailment | (![X]:((wise(X)<~>~kind(X))=>kind(X)))&
(![X]:(~curious(X)<=>brave(X)))&
((?[X]:((old(X)|strong(X))))=>(?[X]:((patient(X)|wise(X)))))&
(((calm(susan)&~creative(susan)))<=>((strong(paul)|~calm(paul))))&
(![X]:((~brave(X)<~>funny(X))<=>(~patient(X)<~>old(X))))&
(((patient(john)|~patient(john)))<=>((tall(mary)|generous(ma... | humble(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 693687693082273300652458
% SZS output start Proof for 693687693082273300652458
11. ! [X0] : ((~humble(X0) <~> creative(X0)) <=> creative(X0)) [input p10]
24. ~humble(paul) [input hypothesis]
57. ! [X0] : ((((~creative(X0) | humble(X0)) & (creative(X0) | ~humble(X0))) | ~creative(X0)) & (c... | 0 |
Everyone who is either not old or kind is brave.
Everyone who is either not rich or brave is both funny and not brave.
If mary is either not creative or tall then someone is either not patient or strong.
If mary is quiet or wise then paul is old.
Everyone who is generous is funny and vice versa.
If someone is creative ... | Mary is strong. | neutral | (![X]:((~old(X)<~>kind(X))=>brave(X)))&
(![X]:((~rich(X)<~>brave(X))=>(funny(X)&~brave(X))))&
(((~creative(mary)<~>tall(mary)))=>(?[X]:((~patient(X)<~>strong(X)))))&
(((quiet(mary)|wise(mary)))=>(old(paul)))&
(![X]:(generous(X)<=>funny(X)))&
((?[X]:(creative(X)))=>((tall(susan)&~quiet(susan))))&
(![X]:((~rich(X)<~>brav... | strong(mary) | [] | null | 0 |
If someone is not quiet then someone is not old or kind and vice versa.
If lucy is funny or kind then alice is both patient and not humble and vice versa.
If mary is either not curious or not kind then paul is patient or tall and vice versa.
If someone is not wise or humble then someone is either not happy or not stron... | Alice is curious. | neutral | ((?[X]:(~quiet(X)))<=>(?[X]:((~old(X)|kind(X)))))&
(((funny(lucy)|kind(lucy)))<=>((patient(alice)&~humble(alice))))&
(((~curious(mary)<~>~kind(mary)))<=>((patient(paul)|tall(paul))))&
((?[X]:((~wise(X)|humble(X))))<=>(?[X]:((~happy(X)<~>~strong(X)))))&
((?[X]:((patient(X)|brave(X))))<=>((~old(john)|~curious(john))))&
(... | curious(alice) | [] | null | 0 |
Everyone who is not generous is patient and vice versa.
If susan is both patient and happy then john is either not happy or brave.
If someone is both patient and generous then john is both old and not humble.
If someone is both kind and patient then alice is both strong and old.
Everyone who is generous or creative is ... | John is not kind. | neutral | (![X]:(~generous(X)<=>patient(X)))&
(((patient(susan)&happy(susan)))=>((~happy(john)<~>brave(john))))&
((?[X]:((patient(X)&generous(X))))=>((old(john)&~humble(john))))&
((?[X]:((kind(X)&patient(X))))=>((strong(alice)&old(alice))))&
(![X]:((generous(X)|creative(X))=>~humble(X)))&
((?[X]:((~curious(X)<~>kind(X))))<=>(?[X... | ~kind(john) | [] | null | 0 |
If someone is either old or not funny then mary is both patient and happy and vice versa.
Everyone who is funny or not rich is both calm and not strong.
Everyone who is not curious is old or not brave and vice versa.
If john is calm or brave then someone is patient or generous and vice versa.
If susan is both wise and ... | Paul is humble. | neutral | ((?[X]:((old(X)<~>~funny(X))))<=>((patient(mary)&happy(mary))))&
(![X]:((funny(X)|~rich(X))=>(calm(X)&~strong(X))))&
(![X]:(~curious(X)<=>(old(X)|~brave(X))))&
(((calm(john)|brave(john)))<=>(?[X]:((patient(X)|generous(X)))))&
(((wise(susan)&brave(susan)))<=>((~strong(paul)&~wise(paul))))&
((?[X]:((old(X)|quiet(X))))=>(... | humble(paul) | [] | null | 0 |
Everyone who is either strong or generous is both not curious and not wise.
If someone is not happy then someone is both not patient and not calm and vice versa.
Everyone who is not funny is both humble and funny and vice versa.
If fred is either old or not calm then fred is curious or funny.
Everyone who is generous i... | Mary is not rich. | entailment | (![X]:((strong(X)<~>generous(X))=>(~curious(X)&~wise(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~patient(X)&~calm(X)))))&
(![X]:(~funny(X)<=>(humble(X)&funny(X))))&
(((old(fred)<~>~calm(fred)))=>((curious(fred)|funny(fred))))&
(![X]:(generous(X)=>wise(X)))&
(((~kind(lucy)<~>~generous(lucy)))<=>((~happy(john)|~funny(john))))&... | ~rich(mary) | [
"p2",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4835272230089568454188326
% SZS output start Proof for 4835272230089568454188326
3. ! [X0] : (~funny(X0) <=> (funny(X0) & humble(X0))) [input p2]
11. ! [X0] : ((kind(X0) <~> ~happy(X0)) <=> (~calm(X0) & ~quiet(X0))) [input p10]
12. (~rich(mary) <~> ~quiet(mary)) => (quiet(john) | ~funny(j... | 0 |
Everyone who is both not generous and funny is either generous or not funny. Everyone who is either kind or not funny is not calm or funny and vice versa. If someone is not humble or old then someone is creative. If john is either not curious or not happy then susan is either not generous or not humble. Everyone who is... | John is not patient. | neutral | (![X]:((~generous(X)&funny(X))=>(generous(X)<~>~funny(X))))&
(![X]:((kind(X)<~>~funny(X))<=>(~calm(X)|funny(X))))&
((?[X]:((~humble(X)|old(X))))=>(?[X]:(creative(X))))&
(((~curious(john)<~>~happy(john)))=>((~generous(susan)<~>~humble(susan))))&
(![X]:((strong(X)&~quiet(X))=>~tall(X)))&
(![X]:((humble(X)&~curious(X))<=>... | ~patient(john) | [] | null | 0 |
If someone is creative or rich then mary is both not funny and brave and vice versa. If fred is either old or strong then john is both patient and curious. If alice is both not funny and humble then fred is curious. If someone is either funny or not patient then paul is both curious and tall and vice versa. Everyone wh... | Paul is tall. | neutral | ((?[X]:((creative(X)|rich(X))))<=>((~funny(mary)&brave(mary))))&
(((old(fred)<~>strong(fred)))=>((patient(john)&curious(john))))&
(((~funny(alice)&humble(alice)))=>(curious(fred)))&
((?[X]:((funny(X)<~>~patient(X))))<=>((curious(paul)&tall(paul))))&
(![X]:(~calm(X)<=>(brave(X)&~kind(X))))&
(![X]:((humble(X)&tall(X))<=>... | tall(paul) | [] | null | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa.
Everyone who is not kind or not funny is either wise or not funny and vice versa.
Everyone who is either quiet or not kind is quiet or kind.
If alice is not patient then mary is either creative or not brave.
Everyone who is both t... | Mary is not generous. | contradiction | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | ~generous(mary) | [
"p1",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 900460798916005508567113
% SZS output start Proof for 900460798916005508567113
2. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> (wise(X0) <~> ~funny(X0))) [input p1]
5. ! [X0] : ((strong(X0) & tall(X0)) <=> (generous(X0) & brave(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | funny(X0)) <=> (rich(X0)... | 0 |
Everyone who is both not brave and not kind is not generous or patient.
Everyone who is either curious or not rich is either tall or rich.
If mary is not generous or patient then john is not kind.
If someone is happy then alice is creative or funny.
Everyone who is either creative or not brave is not brave or not tall.... | Mary is quiet. | neutral | (![X]:((~brave(X)&~kind(X))=>(~generous(X)|patient(X))))&
(![X]:((curious(X)<~>~rich(X))=>(tall(X)<~>rich(X))))&
(((~generous(mary)|patient(mary)))=>(~kind(john)))&
((?[X]:(happy(X)))=>((creative(alice)|funny(alice))))&
(![X]:((creative(X)<~>~brave(X))=>(~brave(X)|~tall(X))))&
(((curious(mary)<~>~generous(mary)))=>((~g... | quiet(mary) | [] | null | 0 |
Everyone who is rich is either quiet or not humble. If someone is not quiet then someone is both rich and not wise and vice versa. Everyone who is both humble and not happy is funny. If fred is curious or calm then fred is both not happy and not funny. Everyone who is both not patient and not wise is not rich. If someo... | John is not brave. | entailment | (![X]:(rich(X)=>(quiet(X)<~>~humble(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((rich(X)&~wise(X)))))&
(![X]:((humble(X)&~happy(X))=>funny(X)))&
(((curious(fred)|calm(fred)))=>((~happy(fred)&~funny(fred))))&
(![X]:((~patient(X)&~wise(X))=>~rich(X)))&
((?[X]:(wise(X)))<=>((~generous(paul)|strong(paul))))&
(![X]:((~strong(X)<~>~... | ~brave(john) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4132119737005865134516281
% SZS output start Proof for 4132119737005865134516281
9. ! [X0] : ((happy(X0) | ~generous(X0)) <=> ~happy(X0)) [input p8]
14. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> ~generous(X0)) [input p13]
25. brave(john) [input hypothesis]
58. ! [X0] : (((happy(X0) | ~gen... | 0 |
Everyone who is both wise and funny is wise or patient. Everyone who is both creative and kind is not happy. If someone is strong then someone is creative and vice versa. If someone is either quiet or calm then someone is either not wise or not curious and vice versa. Everyone who is either tall or funny is both not cu... | John is not calm. | contradiction | (![X]:((wise(X)&funny(X))=>(wise(X)|patient(X))))&
(![X]:((creative(X)&kind(X))=>~happy(X)))&
((?[X]:(strong(X)))<=>(?[X]:(creative(X))))&
((?[X]:((quiet(X)<~>calm(X))))<=>(?[X]:((~wise(X)<~>~curious(X)))))&
(![X]:((tall(X)<~>funny(X))=>(~curious(X)&~funny(X))))&
(![X]:((~calm(X)|~rich(X))<=>(rich(X)<~>tall(X))))&
((?[... | ~calm(john) | [
"p4",
"p5",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7265823684606168454493947
% SZS output start Proof for 7265823684606168454493947
5. ! [X0] : ((tall(X0) <~> funny(X0)) => (~funny(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> (rich(X0) <~> tall(X0))) [input p5]
8. ! [X0] : ((~rich(X0) & curious(X0)) <=> (~calm(... | 0 |
If someone is not patient or not quiet then lucy is curious or strong.
If someone is either not old or not strong then someone is old or wise and vice versa.
If mary is wise then someone is either not funny or not old.
Everyone who is either not curious or not calm is not creative.
Everyone who is not funny is not old ... | Mary is rich. | neutral | ((?[X]:((~patient(X)|~quiet(X))))=>((curious(lucy)|strong(lucy))))&
((?[X]:((~old(X)<~>~strong(X))))<=>(?[X]:((old(X)|wise(X)))))&
((wise(mary))=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~curious(X)<~>~calm(X))=>~creative(X)))&
(![X]:(~funny(X)=>(~old(X)|~kind(X))))&
(![X]:((~tall(X)|rich(X))<=>(~tall(X)<~>~old(X))))&
... | rich(mary) | [] | null | 0 |
Everyone who is calm or creative is not funny or not calm and vice versa.
If someone is either not calm or curious then someone is not tall or not strong and vice versa.
Everyone who is not old or wise is not patient or not humble.
Everyone who is wise or not funny is wise and vice versa.
If paul is both not creative a... | Paul is quiet. | entailment | (![X]:((calm(X)|creative(X))<=>(~funny(X)|~calm(X))))&
((?[X]:((~calm(X)<~>curious(X))))<=>(?[X]:((~tall(X)|~strong(X)))))&
(![X]:((~old(X)|wise(X))=>(~patient(X)|~humble(X))))&
(![X]:((wise(X)|~funny(X))<=>wise(X)))&
(((~creative(paul)&patient(paul)))<=>(?[X]:((patient(X)<~>~happy(X)))))&
(![X]:((brave(X)&~rich(X))=>(... | quiet(paul) | [
"p0",
"p2",
"p4",
"p5",
"p7",
"p8",
"p13",
"p14",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2364729171373170442142598
% SZS output start Proof for 2364729171373170442142598
1. ! [X0] : ((creative(X0) | calm(X0)) <=> (~calm(X0) | ~funny(X0))) [input p0]
3. ! [X0] : ((wise(X0) | ~old(X0)) => (~humble(X0) | ~patient(X0))) [input p2]
5. (patient(paul) & ~creative(paul)) <=> ? [X0] :... | 0 |
If mary is not generous then someone is not old or tall and vice versa. If paul is not wise or not patient then someone is kind or calm. Everyone who is strong or generous is not tall or not wise and vice versa. Everyone who is both not creative and not wise is patient and vice versa. Everyone who is either not creativ... | Susan is not kind. | entailment | ((~generous(mary))<=>(?[X]:((~old(X)|tall(X)))))&
(((~wise(paul)|~patient(paul)))=>(?[X]:((kind(X)|calm(X)))))&
(![X]:((strong(X)|generous(X))<=>(~tall(X)|~wise(X))))&
(![X]:((~creative(X)&~wise(X))<=>patient(X)))&
(![X]:((~creative(X)<~>generous(X))=>(generous(X)&~quiet(X))))&
(![X]:((kind(X)<~>~wise(X))<=>(patient(X)... | ~kind(susan) | [
"p2",
"p3",
"p4",
"p5",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 349562399153519327662423
% SZS output start Proof for 349562399153519327662423
3. ! [X0] : ((generous(X0) | strong(X0)) <=> (~wise(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((~wise(X0) & ~creative(X0)) <=> patient(X0)) [input p3]
5. ! [X0] : ((~creative(X0) <~> generous(X0)) => (~quiet(X0)... | 0 |
If someone is either not happy or not strong then mary is both not humble and not brave.
If someone is either old or wise then alice is not curious and vice versa.
Everyone who is generous is either not tall or old and vice versa.
Everyone who is wise or creative is both funny and not old and vice versa.
If paul is not... | John is kind. | neutral | ((?[X]:((~happy(X)<~>~strong(X))))=>((~humble(mary)&~brave(mary))))&
((?[X]:((old(X)<~>wise(X))))<=>(~curious(alice)))&
(![X]:(generous(X)<=>(~tall(X)<~>old(X))))&
(![X]:((wise(X)|creative(X))<=>(funny(X)&~old(X))))&
(((~humble(paul)|~tall(paul)))=>(~patient(mary)))&
(((~happy(paul)|generous(paul)))<=>((~quiet(fred)&~s... | kind(john) | [] | null | 0 |
If someone is both rich and curious then someone is both happy and quiet. If susan is both not old and generous then susan is strong or not humble. Everyone who is not patient or not calm is strong or old and vice versa. If someone is either not kind or not strong then someone is not creative. If susan is both not tall... | John is not funny. | entailment | ((?[X]:((rich(X)&curious(X))))=>(?[X]:((happy(X)&quiet(X)))))&
(((~old(susan)&generous(susan)))=>((strong(susan)|~humble(susan))))&
(![X]:((~patient(X)|~calm(X))<=>(strong(X)|old(X))))&
((?[X]:((~kind(X)<~>~strong(X))))=>(?[X]:(~creative(X))))&
(((~tall(susan)&~brave(susan)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(((~hu... | ~funny(john) | [
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8232048174926888161388180
% SZS output start Proof for 8232048174926888161388180
8. ! [X0] : ((creative(X0) & ~funny(X0)) <=> (~brave(X0) | humble(X0))) [input p7]
9. ! [X0] : ((creative(X0) | calm(X0)) <=> (~brave(X0) & ~curious(X0))) [input p8]
13. ! [X0] : ((brave(X0) <~> ~creative(X0)... | 0 |
Everyone who is not calm is kind or not wise and vice versa.
Everyone who is both not generous and not strong is quiet and vice versa.
If someone is either wise or kind then paul is both not brave and not patient.
Everyone who is either not curious or happy is either not humble or not rich.
Everyone who is creative or ... | Lucy is curious. | neutral | (![X]:(~calm(X)<=>(kind(X)|~wise(X))))&
(![X]:((~generous(X)&~strong(X))<=>quiet(X)))&
((?[X]:((wise(X)<~>kind(X))))=>((~brave(paul)&~patient(paul))))&
(![X]:((~curious(X)<~>happy(X))=>(~humble(X)<~>~rich(X))))&
(![X]:((creative(X)|old(X))=>(wise(X)|quiet(X))))&
(((curious(mary)&kind(mary)))<=>(?[X]:(wise(X))))&
(![X]:... | curious(lucy) | [] | null | 0 |
If someone is tall then someone is either rich or creative and vice versa.
Everyone who is both kind and not humble is quiet.
Everyone who is calm or not tall is either not humble or not strong and vice versa.
If someone is both not old and not patient then mary is both not generous and humble.
If someone is brave or n... | John is not calm. | entailment | ((?[X]:(tall(X)))<=>(?[X]:((rich(X)<~>creative(X)))))&
(![X]:((kind(X)&~humble(X))=>quiet(X)))&
(![X]:((calm(X)|~tall(X))<=>(~humble(X)<~>~strong(X))))&
((?[X]:((~old(X)&~patient(X))))=>((~generous(mary)&humble(mary))))&
((?[X]:((brave(X)|~old(X))))=>(?[X]:((~brave(X)<~>~humble(X)))))&
(![X]:(~wise(X)=>(quiet(X)<~>funn... | ~calm(john) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2577705598687698970921226
% SZS output start Proof for 2577705598687698970921226
7. ! [X0] : ((rich(X0) | calm(X0)) => rich(X0)) [input p6]
13. ! [X0] : ((~funny(X0) | rich(X0)) => (~curious(X0) & ~rich(X0))) [input p12]
21. calm(john) [input hypothesis]
24. ! [X0] : ((~funny(X0) | rich(X... | 0 |
If someone is either not calm or not wise then someone is both not brave and tall and vice versa. If mary is brave or not humble then someone is either generous or kind and vice versa. Everyone who is not quiet or not creative is not old or humble and vice versa. Everyone who is both not old and not curious is both not... | Susan is not strong. | neutral | ((?[X]:((~calm(X)<~>~wise(X))))<=>(?[X]:((~brave(X)&tall(X)))))&
(((brave(mary)|~humble(mary)))<=>(?[X]:((generous(X)<~>kind(X)))))&
(![X]:((~quiet(X)|~creative(X))<=>(~old(X)|humble(X))))&
(![X]:((~old(X)&~curious(X))=>(~curious(X)&~quiet(X))))&
(![X]:((~creative(X)&rich(X))=>(kind(X)&~kind(X))))&
((~strong(susan))=>(... | ~strong(susan) | [] | null | 0 |
Everyone who is not quiet is both not rich and not generous.
Everyone who is old is both generous and not creative.
If fred is not funny then lucy is either old or curious.
Everyone who is not happy is either not humble or not quiet and vice versa.
Everyone who is either not humble or humble is both not wise and not ha... | Fred is humble. | contradiction | (![X]:(~quiet(X)=>(~rich(X)&~generous(X))))&
(![X]:(old(X)=>(generous(X)&~creative(X))))&
((~funny(fred))=>((old(lucy)<~>curious(lucy))))&
(![X]:(~happy(X)<=>(~humble(X)<~>~quiet(X))))&
(![X]:((~humble(X)<~>humble(X))<=>(~wise(X)&~happy(X))))&
(![X]:(~patient(X)<=>(~creative(X)|kind(X))))&
(![X]:((~funny(X)|~creative(X... | humble(fred) | [
"p0",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3900401605821222963548294
% SZS output start Proof for 3900401605821222963548294
1. ! [X0] : (~quiet(X0) => (~generous(X0) & ~rich(X0))) [input p0]
4. ! [X0] : (~happy(X0) <=> (~humble(X0) <~> ~quiet(X0))) [input p3]
5. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~happy(X0) & ~wise(X0))) ... | 0 |
Everyone who is not rich is either not old or not rich and vice versa.
Everyone who is either not rich or not kind is either not brave or not funny and vice versa.
Everyone who is not kind or not funny is old or funny and vice versa.
If someone is funny then someone is either curious or not kind.
Everyone who is not st... | Alice is not kind. | neutral | (![X]:(~rich(X)<=>(~old(X)<~>~rich(X))))&
(![X]:((~rich(X)<~>~kind(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((~kind(X)|~funny(X))<=>(old(X)|funny(X))))&
((?[X]:(funny(X)))=>(?[X]:((curious(X)<~>~kind(X)))))&
(![X]:((~strong(X)|~funny(X))<=>(~creative(X)<~>tall(X))))&
(![X]:((~tall(X)|patient(X))<=>(tall(X)&~calm(X))))&
(... | ~kind(alice) | [] | null | 0 |
Everyone who is not wise or tall is both not rich and not humble and vice versa. Everyone who is either not strong or generous is both funny and brave. If john is brave then someone is either brave or not tall and vice versa. If someone is either patient or not humble then someone is humble or brave. If someone is eith... | Mary is not curious. | contradiction | (![X]:((~wise(X)|tall(X))<=>(~rich(X)&~humble(X))))&
(![X]:((~strong(X)<~>generous(X))=>(funny(X)&brave(X))))&
((brave(john))<=>(?[X]:((brave(X)<~>~tall(X)))))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)|brave(X)))))&
((?[X]:((old(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:(happy(X)<=>generous(X)))&
(![X]... | ~curious(mary) | [
"p0",
"p1",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7095903649856584575497985
% SZS output start Proof for 7095903649856584575497985
1. ! [X0] : ((tall(X0) | ~wise(X0)) <=> (~humble(X0) & ~rich(X0))) [input p0]
2. ! [X0] : ((~strong(X0) <~> generous(X0)) => (brave(X0) & funny(X0))) [input p1]
10. ! [X0] : (curious(X0) <=> ~strong(X0)) [inp... | 0 |
Everyone who is both curious and not generous is either old or tall and vice versa.
Everyone who is either not happy or not brave is both not wise and not brave.
Everyone who is both not humble and happy is either not funny or not generous.
If someone is either curious or rich then susan is either not humble or not ric... | Alice is patient. | neutral | (![X]:((curious(X)&~generous(X))<=>(old(X)<~>tall(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~wise(X)&~brave(X))))&
(![X]:((~humble(X)&happy(X))=>(~funny(X)<~>~generous(X))))&
((?[X]:((curious(X)<~>rich(X))))<=>((~humble(susan)<~>~rich(susan))))&
((?[X]:(quiet(X)))<=>(rich(alice)))&
((creative(lucy))<=>(?[X]:((~brave(X)|~... | patient(alice) | [] | null | 0 |
If lucy is creative or wise then fred is either calm or not kind.
Everyone who is either creative or happy is both not creative and not rich and vice versa.
If someone is both strong and kind then alice is kind or not curious.
If alice is both generous and brave then someone is either curious or not generous and vice v... | John is funny. | entailment | (((creative(lucy)|wise(lucy)))=>((calm(fred)<~>~kind(fred))))&
(![X]:((creative(X)<~>happy(X))<=>(~creative(X)&~rich(X))))&
((?[X]:((strong(X)&kind(X))))=>((kind(alice)|~curious(alice))))&
(((generous(alice)&brave(alice)))<=>(?[X]:((curious(X)<~>~generous(X)))))&
(((~humble(mary)<~>creative(mary)))=>(~kind(fred)))&
(![... | funny(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6484926934433959580215948
% SZS output start Proof for 6484926934433959580215948
6. ! [X0] : ((~old(X0) & ~funny(X0)) <=> (old(X0) & ~funny(X0))) [input p5]
22. ~funny(john) [input hypothesis]
46. ! [X0] : (((~old(X0) & ~funny(X0)) | (~old(X0) | funny(X0))) & ((old(X0) & ~funny(X0)) | (ol... | 0 |
Everyone who is both not creative and not generous is both generous and not patient. If someone is both not curious and quiet then someone is both funny and calm. Everyone who is quiet is either not tall or quiet and vice versa. If someone is quiet or not kind then fred is either not creative or curious and vice versa.... | Lucy is not tall. | contradiction | (![X]:((~creative(X)&~generous(X))=>(generous(X)&~patient(X))))&
((?[X]:((~curious(X)&quiet(X))))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(quiet(X)<=>(~tall(X)<~>quiet(X))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~creative(fred)<~>curious(fred))))&
(![X]:((creative(X)<~>~happy(X))<=>(~tall(X)<~>~brave(X))))&
(![X]:(generous(X... | ~tall(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7662617860330325114381005
% SZS output start Proof for 7662617860330325114381005
3. ! [X0] : (quiet(X0) <=> (~tall(X0) <~> quiet(X0))) [input p2]
24. ~tall(lucy) [input hypothesis]
41. ! [X0] : ((quiet(X0) | ((~tall(X0) | ~quiet(X0)) & (quiet(X0) | tall(X0)))) & (((~quiet(X0) | tall(X0)) ... | 0 |
Everyone who is both not calm and not funny is both not strong and not funny. Everyone who is curious is quiet. Everyone who is not old is happy or rich and vice versa. If mary is not curious or patient then alice is tall or strong. If someone is either tall or brave then susan is kind or not brave and vice versa. Ever... | Mary is not curious. | neutral | (![X]:((~calm(X)&~funny(X))=>(~strong(X)&~funny(X))))&
(![X]:(curious(X)=>quiet(X)))&
(![X]:(~old(X)<=>(happy(X)|rich(X))))&
(((~curious(mary)|patient(mary)))=>((tall(alice)|strong(alice))))&
((?[X]:((tall(X)<~>brave(X))))<=>((kind(susan)|~brave(susan))))&
(![X]:(~tall(X)<=>(calm(X)<~>~funny(X))))&
((?[X]:(calm(X)))=>(... | ~curious(mary) | [] | null | 0 |
Everyone who is both wise and not rich is quiet and vice versa.
Everyone who is not rich or rich is not calm and vice versa.
If alice is either not calm or rich then someone is both not humble and funny.
If alice is old or not tall then paul is not wise.
If someone is either not patient or rich then lucy is tall or not... | Alice is old. | neutral | (![X]:((wise(X)&~rich(X))<=>quiet(X)))&
(![X]:((~rich(X)|rich(X))<=>~calm(X)))&
(((~calm(alice)<~>rich(alice)))=>(?[X]:((~humble(X)&funny(X)))))&
(((old(alice)|~tall(alice)))=>(~wise(paul)))&
((?[X]:((~patient(X)<~>rich(X))))=>((tall(lucy)|~humble(lucy))))&
((?[X]:(patient(X)))=>(kind(lucy)))&
((?[X]:((~patient(X)|kind... | old(alice) | [] | null | 0 |
If john is not brave or not strong then someone is funny.
Everyone who is either strong or curious is not strong or brave and vice versa.
Everyone who is creative or kind is not happy.
If someone is both not generous and not curious then lucy is not generous or not wise.
Everyone who is either calm or not brave is not ... | John is not creative. | entailment | (((~brave(john)|~strong(john)))=>(?[X]:(funny(X))))&
(![X]:((strong(X)<~>curious(X))<=>(~strong(X)|brave(X))))&
(![X]:((creative(X)|kind(X))=>~happy(X)))&
((?[X]:((~generous(X)&~curious(X))))=>((~generous(lucy)|~wise(lucy))))&
(![X]:((calm(X)<~>~brave(X))=>(~creative(X)|~calm(X))))&
((?[X]:((~brave(X)&quiet(X))))<=>((~... | ~creative(john) | [
"p1",
"p2",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 741139129589794078344598
% SZS output start Proof for 741139129589794078344598
2. ! [X0] : ((strong(X0) <~> curious(X0)) <=> (brave(X0) | ~strong(X0))) [input p1]
3. ! [X0] : ((kind(X0) | creative(X0)) => ~happy(X0)) [input p2]
13. ! [X0] : ((brave(X0) | happy(X0)) => (happy(X0) & ~rich(X... | 0 |
If someone is not creative then someone is both quiet and tall.
Everyone who is either not old or not funny is strong or not generous.
Everyone who is either not humble or not funny is either calm or creative and vice versa.
Everyone who is not patient or not humble is either humble or not happy and vice versa.
If some... | Susan is generous. | contradiction | ((?[X]:(~creative(X)))=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((~old(X)<~>~funny(X))=>(strong(X)|~generous(X))))&
(![X]:((~humble(X)<~>~funny(X))<=>(calm(X)<~>creative(X))))&
(![X]:((~patient(X)|~humble(X))<=>(humble(X)<~>~happy(X))))&
((?[X]:((~strong(X)&calm(X))))=>(?[X]:(patient(X))))&
(((kind(mary)|~brave(mary)))=>((... | generous(susan) | [
"p0",
"p2",
"p6",
"p9",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1218668802375364206375609
% SZS output start Proof for 1218668802375364206375609
1. ? [X0] : ~creative(X0) => ? [X0] : (tall(X0) & quiet(X0)) [input p0]
3. ! [X0] : ((~humble(X0) <~> ~funny(X0)) <=> (calm(X0) <~> creative(X0))) [input p2]
7. ! [X0] : ((~curious(X0) & ~calm(X0)) => (calm(X... | 0 |
If fred is not happy or not old then someone is either not brave or not generous and vice versa. If someone is happy or not creative then alice is not old. If someone is not tall or not generous then someone is both kind and curious. Everyone who is not happy or brave is not creative and vice versa. Everyone who is eit... | Mary is not funny. | entailment | (((~happy(fred)|~old(fred)))<=>(?[X]:((~brave(X)<~>~generous(X)))))&
((?[X]:((happy(X)|~creative(X))))=>(~old(alice)))&
((?[X]:((~tall(X)|~generous(X))))=>(?[X]:((kind(X)&curious(X)))))&
(![X]:((~happy(X)|brave(X))<=>~creative(X)))&
(![X]:((~creative(X)<~>funny(X))=>(kind(X)&patient(X))))&
((?[X]:(~patient(X)))=>(?[X]:... | ~funny(mary) | [
"p2",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4060474975450443556497176
% SZS output start Proof for 4060474975450443556497176
3. ? [X0] : (~generous(X0) | ~tall(X0)) => ? [X0] : (curious(X0) & kind(X0)) [input p2]
4. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~creative(X0)) [input p3]
15. ? [X0] : funny(X0) => ? [X0] : (~generous(X0) & ... | 0 |
If fred is both rich and not calm then someone is both patient and not funny and vice versa.
Everyone who is either kind or generous is kind.
Everyone who is not humble is not brave and vice versa.
If fred is old or quiet then someone is both tall and strong.
Everyone who is both brave and not generous is tall or gener... | Fred is generous. | contradiction | (((rich(fred)&~calm(fred)))<=>(?[X]:((patient(X)&~funny(X)))))&
(![X]:((kind(X)<~>generous(X))=>kind(X)))&
(![X]:(~humble(X)<=>~brave(X)))&
(((old(fred)|quiet(fred)))=>(?[X]:((tall(X)&strong(X)))))&
(![X]:((brave(X)&~generous(X))<=>(tall(X)|generous(X))))&
(![X]:(patient(X)<=>(~curious(X)&~patient(X))))&
(![X]:((quiet(... | generous(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3036135037723744419859238
% SZS output start Proof for 3036135037723744419859238
5. ! [X0] : ((~generous(X0) & brave(X0)) <=> (generous(X0) | tall(X0))) [input p4]
23. generous(fred) [input hypothesis]
45. ! [X0] : (((~generous(X0) & brave(X0)) | (~generous(X0) & ~tall(X0))) & ((generous(... | 0 |
Everyone who is not humble is not funny.
If mary is either curious or not creative then john is brave and vice versa.
Everyone who is either not quiet or calm is not brave or happy and vice versa.
If someone is quiet or happy then someone is both not wise and kind.
If alice is not old or not kind then someone is both n... | John is patient. | contradiction | (![X]:(~humble(X)=>~funny(X)))&
(((curious(mary)<~>~creative(mary)))<=>(brave(john)))&
(![X]:((~quiet(X)<~>calm(X))<=>(~brave(X)|happy(X))))&
((?[X]:((quiet(X)|happy(X))))=>(?[X]:((~wise(X)&kind(X)))))&
(((~old(alice)|~kind(alice)))<=>(?[X]:((~strong(X)&~funny(X)))))&
(((~patient(john)&curious(john)))<=>(?[X]:((rich(X)... | patient(john) | [
"p2",
"p6",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3616871428568174241702507
% SZS output start Proof for 3616871428568174241702507
3. ! [X0] : ((~quiet(X0) <~> calm(X0)) <=> (happy(X0) | ~brave(X0))) [input p2]
7. ! [X0] : ((~old(X0) | patient(X0)) <=> (~calm(X0) & ~strong(X0))) [input p6]
9. ! [X0] : ((quiet(X0) <~> calm(X0)) <=> (kind(... | 0 |
Everyone who is either not calm or funny is both not humble and not old and vice versa.
Everyone who is either not generous or not kind is both not curious and 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... | Mary is not calm. | contradiction | (![X]:((~calm(X)<~>funny(X))<=>(~humble(X)&~old(X))))&
(![X]:((~generous(X)<~>~kind(X))<=>(~curious(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)&humbl... | ~calm(mary) | [
"p0",
"p4",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4832912977270194069703775
% SZS output start Proof for 4832912977270194069703775
1. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> (~old(X0) & ~humble(X0))) [input p0]
5. ! [X0] : ((~old(X0) | patient(X0)) => (~humble(X0) & ~strong(X0))) [input p4]
10. ! [X0] : (~old(X0) => (~patient(X0) & funny... | 0 |
If someone is not happy or not quiet then someone is calm or not calm.
Everyone who is not humble is not wise and vice versa.
Everyone who is either creative or not kind is either curious or wise.
If someone is either not rich or not wise then lucy is patient or not humble and vice versa.
If mary is brave then john is ... | Fred is curious. | entailment | ((?[X]:((~happy(X)|~quiet(X))))=>(?[X]:((calm(X)|~calm(X)))))&
(![X]:(~humble(X)<=>~wise(X)))&
(![X]:((creative(X)<~>~kind(X))=>(curious(X)<~>wise(X))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>((patient(lucy)|~humble(lucy))))&
((brave(mary))=>((~kind(john)&~brave(john))))&
(![X]:((~tall(X)&~brave(X))<=>(~creative(X)|rich(X)... | curious(fred) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3487539965881235858666561
% SZS output start Proof for 3487539965881235858666561
3. ! [X0] : ((creative(X0) <~> ~kind(X0)) => (curious(X0) <~> wise(X0))) [input p2]
6. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> (rich(X0) | ~creative(X0))) [input p5]
7. ! [X0] : (~wise(X0) <=> ~patient(X0)) [i... | 0 |
If someone is both funny and strong then someone is both creative and not tall and vice versa.
If someone is not strong then john is creative and vice versa.
If paul is tall or not patient then someone is tall or not humble.
Everyone who is both humble and not wise is either creative or humble and vice versa.
If someon... | Paul is not wise. | neutral | ((?[X]:((funny(X)&strong(X))))<=>(?[X]:((creative(X)&~tall(X)))))&
((?[X]:(~strong(X)))<=>(creative(john)))&
(((tall(paul)|~patient(paul)))=>(?[X]:((tall(X)|~humble(X)))))&
(![X]:((humble(X)&~wise(X))<=>(creative(X)<~>humble(X))))&
((?[X]:((~funny(X)|funny(X))))=>((brave(susan)<~>creative(susan))))&
(((~quiet(paul)<~>q... | ~wise(paul) | [] | null | 0 |
Everyone who is both not humble and quiet is patient or quiet.
Everyone who is not creative or kind is patient and vice versa.
If fred is creative or not generous then john is not creative.
Everyone who is calm or curious is both not curious and not happy and vice versa.
If fred is either calm or not calm then someone ... | Susan is not wise. | entailment | (![X]:((~humble(X)&quiet(X))=>(patient(X)|quiet(X))))&
(![X]:((~creative(X)|kind(X))<=>patient(X)))&
(((creative(fred)|~generous(fred)))=>(~creative(john)))&
(![X]:((calm(X)|curious(X))<=>(~curious(X)&~happy(X))))&
(((calm(fred)<~>~calm(fred)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(rich(X)<=>~brave(X)))&
((?[X]:((~... | ~wise(susan) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4347846288733951221192841
% SZS output start Proof for 4347846288733951221192841
2. ! [X0] : ((kind(X0) | ~creative(X0)) <=> patient(X0)) [input p1]
9. wise(susan) => (~patient(lucy) & kind(lucy)) [input p8]
25. wise(susan) [input hypothesis]
33. (~patient(lucy) & kind(lucy)) | ~wise(susa... | 0 |
Everyone who is both tall and not wise is either curious or not generous and vice versa.
Everyone who is either patient or not generous is not wise or old.
If someone is old then fred is not funny and vice versa.
If mary is either not wise or not kind then susan is not quiet or not calm and vice versa.
Everyone who is ... | Lucy is strong. | entailment | (![X]:((tall(X)&~wise(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((patient(X)<~>~generous(X))=>(~wise(X)|old(X))))&
((?[X]:(old(X)))<=>(~funny(fred)))&
(((~wise(mary)<~>~kind(mary)))<=>((~quiet(susan)|~calm(susan))))&
(![X]:((~generous(X)|quiet(X))<=>(patient(X)&~tall(X))))&
(![X]:((~curious(X)<~>~funny(X))<=>kind(X)))... | strong(lucy) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1234166540848218776816032
% SZS output start Proof for 1234166540848218776816032
10. ? [X0] : (~strong(X0) | ~tall(X0)) <=> humble(john) [input p9]
15. ? [X0] : humble(X0) => ~humble(john) [input p14]
21. ~strong(lucy) [input hypothesis]
30. ~humble(john) | ! [X0] : ~humble(X0) [ennf tran... | 0 |
If susan is both funny and quiet then someone is either brave or not tall and vice versa.
Everyone who is not calm is either not wise or not brave and vice versa.
If lucy is either humble or happy then susan is not rich or creative.
If susan is not calm or not generous then someone is both generous and quiet and vice v... | Susan is not humble. | entailment | (((funny(susan)&quiet(susan)))<=>(?[X]:((brave(X)<~>~tall(X)))))&
(![X]:(~calm(X)<=>(~wise(X)<~>~brave(X))))&
(((humble(lucy)<~>happy(lucy)))=>((~rich(susan)|creative(susan))))&
(((~calm(susan)|~generous(susan)))<=>(?[X]:((generous(X)&quiet(X)))))&
(![X]:(~rich(X)<=>(~generous(X)|creative(X))))&
(((humble(susan)|creati... | ~humble(susan) | [
"p5",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1646698130747443876673372
% SZS output start Proof for 1646698130747443876673372
6. (creative(susan) | humble(susan)) <=> ? [X0] : creative(X0) [input p5]
10. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p9]
12. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~h... | 0 |
Everyone who is quiet or generous is both tall and creative.
Everyone who is not old or not curious is not quiet.
If someone is not brave then alice is patient and vice versa.
Everyone who is either not tall or quiet is not kind or kind and vice versa.
Everyone who is not curious is not happy or quiet.
If someone is no... | Lucy is strong. | entailment | (![X]:((quiet(X)|generous(X))=>(tall(X)&creative(X))))&
(![X]:((~old(X)|~curious(X))=>~quiet(X)))&
((?[X]:(~brave(X)))<=>(patient(alice)))&
(![X]:((~tall(X)<~>quiet(X))<=>(~kind(X)|kind(X))))&
(![X]:(~curious(X)=>(~happy(X)|quiet(X))))&
((?[X]:(~tall(X)))<=>(rich(alice)))&
((?[X]:((wise(X)&creative(X))))<=>(?[X]:((~bra... | strong(lucy) | [
"p0",
"p1",
"p3",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3666446823455500244434057
% SZS output start Proof for 3666446823455500244434057
1. ! [X0] : ((generous(X0) | quiet(X0)) => (creative(X0) & tall(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | ~old(X0)) => ~quiet(X0)) [input p1]
4. ! [X0] : ((~tall(X0) <~> quiet(X0)) <=> (kind(X0) | ~kind(X... | 0 |
Everyone who is either happy or not creative is not brave and vice versa.
Everyone who is not humble is both old and not patient.
If someone is both not generous and quiet then john is both not brave and not patient.
Everyone who is not rich is either not curious or wise.
If someone is either calm or rich then susan is... | John is humble. | entailment | (![X]:((happy(X)<~>~creative(X))<=>~brave(X)))&
(![X]:(~humble(X)=>(old(X)&~patient(X))))&
((?[X]:((~generous(X)&quiet(X))))=>((~brave(john)&~patient(john))))&
(![X]:(~rich(X)=>(~curious(X)<~>wise(X))))&
((?[X]:((calm(X)<~>rich(X))))<=>((~calm(susan)&happy(susan))))&
(((~patient(fred)&rich(fred)))=>(?[X]:((humble(X)<~>... | humble(john) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3067545669395715264907640
% SZS output start Proof for 3067545669395715264907640
2. ! [X0] : (~humble(X0) => (~patient(X0) & old(X0))) [input p1]
8. ! [X0] : (old(X0) <=> (generous(X0) & patient(X0))) [input p7]
24. ~humble(john) [input hypothesis]
26. ! [X0] : ((~patient(X0) & old(X0)) |... | 0 |
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