premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both happy and not generous is both brave and not tall.
Everyone who is either brave or not rich is not creative or generous.
Everyone who is not calm or calm is both not happy and not calm and vice versa.
Everyone who is kind is both not generous and not old.
If someone is not old or not patient then s... | Lucy is not happy. | entailment | (![X]:((happy(X)&~generous(X))=>(brave(X)&~tall(X))))&
(![X]:((brave(X)<~>~rich(X))=>(~creative(X)|generous(X))))&
(![X]:((~calm(X)|calm(X))<=>(~happy(X)&~calm(X))))&
(![X]:(kind(X)=>(~generous(X)&~old(X))))&
((?[X]:((~old(X)|~patient(X))))<=>(?[X]:(~funny(X))))&
(((~kind(john)&kind(john)))<=>((patient(lucy)&~wise(lucy... | ~happy(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3554751577520399515814797
% SZS output start Proof for 3554751577520399515814797
3. ! [X0] : ((calm(X0) | ~calm(X0)) <=> (~calm(X0) & ~happy(X0))) [input p2]
25. happy(lucy) [input hypothesis]
39. ! [X0] : (((calm(X0) | ~calm(X0)) | (calm(X0) | happy(X0))) & ((~calm(X0) & ~happy(X0)) | (~... | 0 |
If someone is not curious or not generous then john is not tall or not quiet and vice versa.
Everyone who is either not kind or not funny is curious or wise and vice versa.
If someone is not creative then someone is both kind and wise and vice versa.
If fred is both not kind and not rich then someone is not curious and... | Fred is calm. | neutral | ((?[X]:((~curious(X)|~generous(X))))<=>((~tall(john)|~quiet(john))))&
(![X]:((~kind(X)<~>~funny(X))<=>(curious(X)|wise(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((kind(X)&wise(X)))))&
(((~kind(fred)&~rich(fred)))<=>(?[X]:(~curious(X))))&
(![X]:((rich(X)|~wise(X))<=>~brave(X)))&
(![X]:((~creative(X)|old(X))=>(wise(X)&~kind(... | calm(fred) | [] | null | 0 |
If someone is both not calm and not funny then lucy is both not brave and creative and vice versa.
If someone is both not calm and funny then someone is kind or humble and vice versa.
If fred is happy then alice is both not humble and not kind.
If john is either wise or not tall then alice is both not tall and not pati... | Alice is not brave. | contradiction | ((?[X]:((~calm(X)&~funny(X))))<=>((~brave(lucy)&creative(lucy))))&
((?[X]:((~calm(X)&funny(X))))<=>(?[X]:((kind(X)|humble(X)))))&
((happy(fred))=>((~humble(alice)&~kind(alice))))&
(((wise(john)<~>~tall(john)))=>((~tall(alice)&~patient(alice))))&
(![X]:((~strong(X)|funny(X))<=>~quiet(X)))&
(![X]:((~kind(X)|brave(X))<=>~... | ~brave(alice) | [
"p5",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1558040387619950966564424
% SZS output start Proof for 1558040387619950966564424
6. ! [X0] : ((brave(X0) | ~kind(X0)) <=> ~calm(X0)) [input p5]
13. ! [X0] : ((calm(X0) | wise(X0)) <=> (~happy(X0) & happy(X0))) [input p12]
22. ~kind(alice) <~> ~calm(alice) [input p21]
24. ~brave(alice) [in... | 0 |
If john is not curious then someone is happy and vice versa.
Everyone who is either rich or not happy is either not quiet or not curious.
Everyone who is either not old or quiet is both old and not strong and vice versa.
Everyone who is creative or not funny is both not humble and not calm.
If susan is not calm or not ... | Susan is not quiet. | contradiction | ((~curious(john))<=>(?[X]:(happy(X))))&
(![X]:((rich(X)<~>~happy(X))=>(~quiet(X)<~>~curious(X))))&
(![X]:((~old(X)<~>quiet(X))<=>(old(X)&~strong(X))))&
(![X]:((creative(X)|~funny(X))=>(~humble(X)&~calm(X))))&
(((~calm(susan)|~brave(susan)))=>((~generous(mary)&quiet(mary))))&
(![X]:((creative(X)<~>patient(X))=>(~calm(X)... | ~quiet(susan) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1293794704880691028969281
% SZS output start Proof for 1293794704880691028969281
3. ! [X0] : ((~old(X0) <~> quiet(X0)) <=> (~strong(X0) & old(X0))) [input p2]
7. ! [X0] : (~quiet(X0) <=> (~strong(X0) & rich(X0))) [input p6]
22. ~quiet(susan) [input hypothesis]
37. ! [X0] : ((((~quiet(X0) ... | 0 |
Everyone who is tall or not generous is either not calm or old and vice versa.
If alice is either curious or generous then someone is either calm or not quiet.
If someone is both funny and old then someone is both wise and happy.
If mary is kind or not tall then someone is both funny and not old and vice versa.
Everyon... | Fred is calm. | contradiction | (![X]:((tall(X)|~generous(X))<=>(~calm(X)<~>old(X))))&
(((curious(alice)<~>generous(alice)))=>(?[X]:((calm(X)<~>~quiet(X)))))&
((?[X]:((funny(X)&old(X))))=>(?[X]:((wise(X)&happy(X)))))&
(((kind(mary)|~tall(mary)))<=>(?[X]:((funny(X)&~old(X)))))&
(![X]:(~kind(X)<=>(~patient(X)|creative(X))))&
(![X]:(creative(X)<=>wise(X... | calm(fred) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p11",
"p12",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 923812028253049753170827
% SZS output start Proof for 923812028253049753170827
5. ! [X0] : (~kind(X0) <=> (creative(X0) | ~patient(X0))) [input p4]
6. ! [X0] : (creative(X0) <=> wise(X0)) [input p5]
7. ? [X0] : ~creative(X0) => (calm(fred) <~> ~generous(fred)) [input p6]
8. ? [X0] : (tall... | 0 |
Everyone who is not humble is calm.
If someone is brave then susan is calm or humble and vice versa.
If paul is funny or generous then paul is not wise or not patient.
Everyone who is both not wise and creative is not wise and vice versa.
Everyone who is quiet is humble and vice versa.
Everyone who is not tall or curio... | Mary is wise. | entailment | (![X]:(~humble(X)=>calm(X)))&
((?[X]:(brave(X)))<=>((calm(susan)|humble(susan))))&
(((funny(paul)|generous(paul)))=>((~wise(paul)|~patient(paul))))&
(![X]:((~wise(X)&creative(X))<=>~wise(X)))&
(![X]:(quiet(X)<=>humble(X)))&
(![X]:((~tall(X)|curious(X))<=>(~old(X)&~kind(X))))&
((~strong(paul))<=>(?[X]:(creative(X))))&
(... | wise(mary) | [
"p3",
"p5",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6776606401770037875969699
% SZS output start Proof for 6776606401770037875969699
4. ! [X0] : ((creative(X0) & ~wise(X0)) <=> ~wise(X0)) [input p3]
6. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~kind(X0) & ~old(X0))) [input p5]
9. (curious(mary) | ~creative(mary)) <=> (wise(paul) | tall(paul... | 0 |
Everyone who is either not calm or quiet is both old and kind.
Everyone who is either creative or not creative is both patient and not curious.
If paul is both rich and not brave then mary is both not old and generous and vice versa.
Everyone who is brave is humble or calm.
If fred is both quiet and patient then someon... | John is creative. | contradiction | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&kind(X))))&
(![X]:((creative(X)<~>~creative(X))=>(patient(X)&~curious(X))))&
(((rich(paul)&~brave(paul)))<=>((~old(mary)&generous(mary))))&
(![X]:(brave(X)=>(humble(X)|calm(X))))&
(((quiet(fred)&patient(fred)))<=>(?[X]:((creative(X)&calm(X)))))&
(![X]:((wise(X)|~kind(X))<=>(rich(X)... | creative(john) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5374134076328187705245569
% SZS output start Proof for 5374134076328187705245569
2. ! [X0] : ((creative(X0) <~> ~creative(X0)) => (~curious(X0) & patient(X0))) [input p1]
5. (patient(fred) & quiet(fred)) <=> ? [X0] : (calm(X0) & creative(X0)) [input p4]
6. ! [X0] : ((~kind(X0) | wise(X0))... | 0 |
Everyone who is not patient is either strong or creative. If mary is tall then susan is not humble or not kind. If someone is calm then someone is not brave. Everyone who is not happy is not creative. Everyone who is not strong or not kind is patient. Everyone who is either rich or calm is either not happy or generous.... | Susan is calm. | entailment | (![X]:(~patient(X)=>(strong(X)<~>creative(X))))&
((tall(mary))=>((~humble(susan)|~kind(susan))))&
((?[X]:(calm(X)))=>(?[X]:(~brave(X))))&
(![X]:(~happy(X)=>~creative(X)))&
(![X]:((~strong(X)|~kind(X))=>patient(X)))&
(![X]:((rich(X)<~>calm(X))=>(~happy(X)<~>generous(X))))&
(![X]:((~rich(X)|creative(X))=>(humble(X)<~>pat... | calm(susan) | [
"p4",
"p6",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2404636280696766528477142
% SZS output start Proof for 2404636280696766528477142
5. ! [X0] : ((~kind(X0) | ~strong(X0)) => patient(X0)) [input p4]
7. ! [X0] : ((creative(X0) | ~rich(X0)) => (humble(X0) <~> patient(X0))) [input p6]
10. ! [X0] : ((creative(X0) | generous(X0)) => humble(X0))... | 0 |
Everyone who is generous is both not happy and not funny.
Everyone who is tall is either wise or not brave.
Everyone who is not rich or funny is rich or not tall and vice versa.
Everyone who is either not kind or curious is either not humble or not curious.
If susan is calm then alice is quiet or rich and vice versa.
I... | Susan is not creative. | neutral | (![X]:(generous(X)=>(~happy(X)&~funny(X))))&
(![X]:(tall(X)=>(wise(X)<~>~brave(X))))&
(![X]:((~rich(X)|funny(X))<=>(rich(X)|~tall(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~humble(X)<~>~curious(X))))&
((calm(susan))<=>((quiet(alice)|rich(alice))))&
((?[X]:(tall(X)))=>(?[X]:((~generous(X)|~humble(X)))))&
(![X]:((~creative... | ~creative(susan) | [] | null | 0 |
Everyone who is both brave and not strong is not kind.
Everyone who is either brave or not brave is rich or kind.
If alice is funny or strong then mary is both not patient and humble and vice versa.
If someone is quiet or not funny then someone is both not humble and patient and vice versa.
If someone is strong then so... | Susan is happy. | contradiction | (![X]:((brave(X)&~strong(X))=>~kind(X)))&
(![X]:((brave(X)<~>~brave(X))=>(rich(X)|kind(X))))&
(((funny(alice)|strong(alice)))<=>((~patient(mary)&humble(mary))))&
((?[X]:((quiet(X)|~funny(X))))<=>(?[X]:((~humble(X)&patient(X)))))&
((?[X]:(strong(X)))=>(?[X]:((~creative(X)&strong(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((stro... | happy(susan) | [
"p1",
"p9",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4178941428075271168437302
% SZS output start Proof for 4178941428075271168437302
2. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (kind(X0) | rich(X0))) [input p1]
10. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p9]
12. (~calm(susan) & ~kind(susan)) <=> ? [X0] : (funny(X0) | kind(X0)) [input p11]
... | 0 |
Everyone who is both not tall and not strong is not strong. If john is either calm or not calm then paul is tall or brave and vice versa. If lucy is not patient then someone is strong and vice versa. If lucy is not quiet then john is creative and vice versa. Everyone who is either not generous or not wise is kind or no... | Fred is not creative. | contradiction | (![X]:((~tall(X)&~strong(X))=>~strong(X)))&
(((calm(john)<~>~calm(john)))<=>((tall(paul)|brave(paul))))&
((~patient(lucy))<=>(?[X]:(strong(X))))&
((~quiet(lucy))<=>(creative(john)))&
(![X]:((~generous(X)<~>~wise(X))<=>(kind(X)|~quiet(X))))&
((?[X]:((strong(X)|kind(X))))=>(curious(fred)))&
(![X]:((tall(X)<~>humble(X))=>... | ~creative(fred) | [
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6656284809548790491372280
% SZS output start Proof for 6656284809548790491372280
16. ! [X0] : (~creative(X0) <=> (~patient(X0) & ~funny(X0))) [input p15]
19. ~curious(fred) & funny(fred) [input p18]
24. ~creative(fred) [input hypothesis]
64. ! [X0] : ((~creative(X0) | (patient(X0) | funny... | 0 |
Everyone who is not tall or not calm is generous or not curious and vice versa. Everyone who is either not curious or generous is either not happy or not funny. If lucy is rich then alice is funny. Everyone who is generous is not strong or rich and vice versa. If someone is not rich or not funny then mary is kind. Ever... | Fred is patient. | entailment | (![X]:((~tall(X)|~calm(X))<=>(generous(X)|~curious(X))))&
(![X]:((~curious(X)<~>generous(X))=>(~happy(X)<~>~funny(X))))&
((rich(lucy))=>(funny(alice)))&
(![X]:(generous(X)<=>(~strong(X)|rich(X))))&
((?[X]:((~rich(X)|~funny(X))))=>(kind(mary)))&
(![X]:((quiet(X)|~generous(X))<=>(~creative(X)|happy(X))))&
(![X]:((~genero... | patient(fred) | [
"p4",
"p5",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6361419029587236231755019
% SZS output start Proof for 6361419029587236231755019
5. ? [X0] : (~funny(X0) | ~rich(X0)) => kind(mary) [input p4]
6. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (happy(X0) | ~creative(X0))) [input p5]
9. ? [X0] : (~happy(X0) | ~patient(X0)) => (~funny(mary) & ~h... | 0 |
Everyone who is either kind or rich is tall or not strong and vice versa. If someone is not happy or not curious then john is not humble. If someone is not rich then someone is either tall or not wise. Everyone who is either happy or curious is creative and vice versa. Everyone who is both not creative and humble is bo... | Paul is curious. | contradiction | (![X]:((kind(X)<~>rich(X))<=>(tall(X)|~strong(X))))&
((?[X]:((~happy(X)|~curious(X))))=>(~humble(john)))&
((?[X]:(~rich(X)))=>(?[X]:((tall(X)<~>~wise(X)))))&
(![X]:((happy(X)<~>curious(X))<=>creative(X)))&
(![X]:((~creative(X)&humble(X))<=>(~old(X)&curious(X))))&
((?[X]:((~happy(X)|~kind(X))))=>((generous(john)&~quiet(... | curious(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4732517354412048959565537
% SZS output start Proof for 4732517354412048959565537
9. ! [X0] : ((~wise(X0) | wise(X0)) => (~wise(X0) & ~curious(X0))) [input p8]
22. curious(paul) [input hypothesis]
30. ! [X0] : ((~wise(X0) & ~curious(X0)) | (wise(X0) & ~wise(X0))) [ennf transformation 9]
92... | 0 |
If someone is both rich and brave then someone is either not generous or brave.
Everyone who is old is either not quiet or tall.
Everyone who is funny is both generous and not brave.
If someone is both not strong and strong then someone is creative.
Everyone who is either humble or not humble is not funny and vice vers... | Susan is not quiet. | contradiction | ((?[X]:((rich(X)&brave(X))))=>(?[X]:((~generous(X)<~>brave(X)))))&
(![X]:(old(X)=>(~quiet(X)<~>tall(X))))&
(![X]:(funny(X)=>(generous(X)&~brave(X))))&
((?[X]:((~strong(X)&strong(X))))=>(?[X]:(creative(X))))&
(![X]:((humble(X)<~>~humble(X))<=>~funny(X)))&
(((~humble(susan)|funny(susan)))=>((patient(john)<~>brave(john)))... | ~quiet(susan) | [
"p4",
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1369769518186117583964584
% SZS output start Proof for 1369769518186117583964584
5. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> ~funny(X0)) [input p4]
8. ! [X0] : ((~funny(X0) | ~strong(X0)) => (patient(X0) & old(X0))) [input p7]
11. ! [X0] : ((quiet(X0) | ~patient(X0)) <=> (tall(X0) | cur... | 0 |
If someone is not old then someone is both not curious and curious.
Everyone who is not rich is either not wise or funny.
Everyone who is patient or calm is humble or not wise.
Everyone who is both calm and not generous is not strong and vice versa.
If fred is not strong then mary is strong or not happy and vice versa.... | Fred is wise. | neutral | ((?[X]:(~old(X)))=>(?[X]:((~curious(X)&curious(X)))))&
(![X]:(~rich(X)=>(~wise(X)<~>funny(X))))&
(![X]:((patient(X)|calm(X))=>(humble(X)|~wise(X))))&
(![X]:((calm(X)&~generous(X))<=>~strong(X)))&
((~strong(fred))<=>((strong(mary)|~happy(mary))))&
((?[X]:((patient(X)|curious(X))))=>(?[X]:((funny(X)|kind(X)))))&
(((humbl... | wise(fred) | [] | null | 0 |
Everyone who is strong or not wise is not rich.
Everyone who is old is not rich and vice versa.
If fred is patient then lucy is not curious or happy.
Everyone who is both not patient and rich is both creative and not humble and vice versa.
Everyone who is not old or rich is generous or not kind and vice versa.
Everyone... | Paul is not wise. | contradiction | (![X]:((strong(X)|~wise(X))=>~rich(X)))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patient(X)&rich(X))<=>(creative(X)&~humble(X))))&
(![X]:((~old(X)|rich(X))<=>(generous(X)|~kind(X))))&
(![X]:((~brave(X)<~>creative(X))<=>(~quiet(X)|quiet(X))))&
(![X]:(~happy(X)=>(generous(X... | ~wise(paul) | [
"p0",
"p1",
"p4",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7565585589531630274491044
% SZS output start Proof for 7565585589531630274491044
1. ! [X0] : ((~wise(X0) | strong(X0)) => ~rich(X0)) [input p0]
2. ! [X0] : (old(X0) <=> ~rich(X0)) [input p1]
5. ! [X0] : ((rich(X0) | ~old(X0)) <=> (~kind(X0) | generous(X0))) [input p4]
10. ! [X0] : (funny(... | 0 |
If paul is not old then someone is not tall or not generous.
Everyone who is creative or not calm is either calm or happy and vice versa.
Everyone who is both brave and curious is both rich and not quiet and vice versa.
If mary is both not generous and happy then lucy is funny.
If fred is not tall then lucy is both fun... | Alice is not generous. | entailment | ((~old(paul))=>(?[X]:((~tall(X)|~generous(X)))))&
(![X]:((creative(X)|~calm(X))<=>(calm(X)<~>happy(X))))&
(![X]:((brave(X)&curious(X))<=>(rich(X)&~quiet(X))))&
(((~generous(mary)&happy(mary)))=>(funny(lucy)))&
((~tall(fred))=>((funny(lucy)&curious(lucy))))&
(((kind(susan)&happy(susan)))=>(creative(alice)))&
(![X]:((~pa... | ~generous(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8033596952083220940793351
% SZS output start Proof for 8033596952083220940793351
10. ! [X0] : ((~brave(X0) <~> generous(X0)) <=> ~brave(X0)) [input p9]
25. generous(alice) [input hypothesis]
48. ! [X0] : ((((~generous(X0) | brave(X0)) & (generous(X0) | ~brave(X0))) | brave(X0)) & (~brave(... | 0 |
If someone is not happy or curious then someone is not calm or not happy and vice versa. If someone is either tall or not patient then john is both generous and not wise and vice versa. Everyone who is both curious and calm is either not old or not creative and vice versa. If someone is both old and humble then mary is... | Paul is not wise. | neutral | ((?[X]:((~happy(X)|curious(X))))<=>(?[X]:((~calm(X)|~happy(X)))))&
((?[X]:((tall(X)<~>~patient(X))))<=>((generous(john)&~wise(john))))&
(![X]:((curious(X)&calm(X))<=>(~old(X)<~>~creative(X))))&
((?[X]:((old(X)&humble(X))))=>(humble(mary)))&
(![X]:((~tall(X)&humble(X))=>(~strong(X)&wise(X))))&
((~calm(lucy))<=>((rich(su... | ~wise(paul) | [] | null | 0 |
Everyone who is generous is curious.
Everyone who is either quiet or kind is not wise and vice versa.
If paul is not curious or funny then someone is not quiet and vice versa.
Everyone who is happy is both creative and not strong and vice versa.
Everyone who is quiet is creative or not generous.
If paul is not kind the... | John is generous. | entailment | (![X]:(generous(X)=>curious(X)))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(paul)|funny(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(happy(X)<=>(creative(X)&~strong(X))))&
(![X]:(quiet(X)=>(creative(X)|~generous(X))))&
((~kind(paul))=>((curious(fred)&~happy(fred))))&
((?[X]:((quiet(X)|~generous(X))))<=>(?[X]:((~ol... | generous(john) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7305504858555891099463706
% SZS output start Proof for 7305504858555891099463706
7. ? [X0] : (~generous(X0) | quiet(X0)) <=> ? [X0] : (~tall(X0) & ~old(X0)) [input p6]
13. ! [X0] : ((generous(X0) & tall(X0)) <=> (~creative(X0) | ~tall(X0))) [input p12]
20. ~generous(john) [input hypothesi... | 0 |
Everyone who is either creative or not brave is not old and vice versa. Everyone who is not kind or wise is both happy and quiet and vice versa. Everyone who is either not funny or funny is both not patient and wise and vice versa. If someone is not patient then someone is both not old and not strong. Everyone who is c... | Alice is tall. | contradiction | (![X]:((creative(X)<~>~brave(X))<=>~old(X)))&
(![X]:((~kind(X)|wise(X))<=>(happy(X)&quiet(X))))&
(![X]:((~funny(X)<~>funny(X))<=>(~patient(X)&wise(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~old(X)&~strong(X)))))&
(![X]:(curious(X)=>(generous(X)&brave(X))))&
((?[X]:((~humble(X)&wise(X))))<=>((~humble(john)|wise(john))))&
(!... | tall(alice) | [
"p1",
"p2",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8714940755071582226517066
% SZS output start Proof for 8714940755071582226517066
2. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (quiet(X0) & happy(X0))) [input p1]
3. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (wise(X0) & ~patient(X0))) [input p2]
5. ! [X0] : (curious(X0) => (brave(X0) & generous(... | 0 |
If john is quiet or not old then someone is both not patient and not quiet. If paul is not curious or not old then alice is not calm or rich and vice versa. Everyone who is either not tall or not generous is happy or not old and vice versa. If fred is not quiet then susan is both tall and not strong. If someone is both... | Susan is old. | entailment | (((quiet(john)|~old(john)))=>(?[X]:((~patient(X)&~quiet(X)))))&
(((~curious(paul)|~old(paul)))<=>((~calm(alice)|rich(alice))))&
(![X]:((~tall(X)<~>~generous(X))<=>(happy(X)|~old(X))))&
((~quiet(fred))=>((tall(susan)&~strong(susan))))&
((?[X]:((~brave(X)&funny(X))))<=>(?[X]:((patient(X)<~>generous(X)))))&
((?[X]:((patie... | old(susan) | [
"p4",
"p6",
"p8",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8453741853466773037214519
% SZS output start Proof for 8453741853466773037214519
5. ? [X0] : (funny(X0) & ~brave(X0)) <=> ? [X0] : (patient(X0) <~> generous(X0)) [input p4]
7. ! [X0] : ((~humble(X0) | quiet(X0)) <=> (~quiet(X0) & ~kind(X0))) [input p6]
9. (~calm(mary) <~> quiet(mary)) <=>... | 0 |
If mary is happy or humble then someone is not rich and vice versa.
If paul is either humble or rich then paul is creative and vice versa.
Everyone who is happy is wise.
Everyone who is both not wise and kind is not calm or funny and vice versa.
If someone is old or not quiet then lucy is not brave and vice versa.
Ever... | Lucy is not calm. | contradiction | (((happy(mary)|humble(mary)))<=>(?[X]:(~rich(X))))&
(((humble(paul)<~>rich(paul)))<=>(creative(paul)))&
(![X]:(happy(X)=>wise(X)))&
(![X]:((~wise(X)&kind(X))<=>(~calm(X)|funny(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(~brave(lucy)))&
(![X]:((~kind(X)&~quiet(X))<=>(~brave(X)&~calm(X))))&
(![X]:(old(X)=>(patient(X)&wise(X))... | ~calm(lucy) | [
"p3",
"p4",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5030689867246841895455505
% SZS output start Proof for 5030689867246841895455505
4. ! [X0] : ((kind(X0) & ~wise(X0)) <=> (funny(X0) | ~calm(X0))) [input p3]
5. ? [X0] : (~quiet(X0) | old(X0)) <=> ~brave(lucy) [input p4]
6. ! [X0] : ((~quiet(X0) & ~kind(X0)) <=> (~calm(X0) & ~brave(X0))) [... | 0 |
Everyone who is both patient and generous is both creative and not patient.
Everyone who is tall or strong is not tall.
If someone is both not patient and wise then mary is both generous and not kind and vice versa.
If someone is old or not quiet then fred is either generous or not brave.
If susan is not brave then joh... | Mary is tall. | contradiction | (![X]:((patient(X)&generous(X))=>(creative(X)&~patient(X))))&
(![X]:((tall(X)|strong(X))=>~tall(X)))&
((?[X]:((~patient(X)&wise(X))))<=>((generous(mary)&~kind(mary))))&
((?[X]:((old(X)|~quiet(X))))=>((generous(fred)<~>~brave(fred))))&
((~brave(susan))<=>((happy(john)&~old(john))))&
(((patient(john)&quiet(john)))<=>(?[X... | tall(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7853586267955318055970158
% SZS output start Proof for 7853586267955318055970158
2. ! [X0] : ((strong(X0) | tall(X0)) => ~tall(X0)) [input p1]
23. tall(mary) [input hypothesis]
27. ! [X0] : (~tall(X0) | (~strong(X0) & ~tall(X0))) [ennf transformation 2]
71. ~tall(X0) | ~tall(X0) [cnf tran... | 0 |
Everyone who is either humble or tall is both happy and not rich and vice versa.
Everyone who is either calm or creative is not patient or not generous and vice versa.
Everyone who is both happy and patient is both strong and not quiet.
If someone is both not rich and calm then someone is not kind or not humble.
Everyo... | Mary is not kind. | contradiction | (![X]:((humble(X)<~>tall(X))<=>(happy(X)&~rich(X))))&
(![X]:((calm(X)<~>creative(X))<=>(~patient(X)|~generous(X))))&
(![X]:((happy(X)&patient(X))=>(strong(X)&~quiet(X))))&
((?[X]:((~rich(X)&calm(X))))=>(?[X]:((~kind(X)|~humble(X)))))&
(![X]:((~funny(X)<~>~calm(X))=>(strong(X)|happy(X))))&
((?[X]:(tall(X)))<=>(~wise(sus... | ~kind(mary) | [
"p1",
"p9",
"p12",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4645207736991306869632470
% SZS output start Proof for 4645207736991306869632470
2. ! [X0] : ((calm(X0) <~> creative(X0)) <=> (~generous(X0) | ~patient(X0))) [input p1]
10. ! [X0] : (patient(X0) <=> (brave(X0) & rich(X0))) [input p9]
13. rich(mary) <=> ? [X0] : (old(X0) | strong(X0)) [inp... | 0 |
If lucy is either curious or not rich then lucy is both kind and funny and vice versa.
Everyone who is not calm is rich or old.
Everyone who is either not strong or strong is both calm and not humble.
If someone is not tall then susan is not tall.
Everyone who is both quiet and not strong is not strong or not tall.
If ... | Lucy is curious. | entailment | (((curious(lucy)<~>~rich(lucy)))<=>((kind(lucy)&funny(lucy))))&
(![X]:(~calm(X)=>(rich(X)|old(X))))&
(![X]:((~strong(X)<~>strong(X))=>(calm(X)&~humble(X))))&
((?[X]:(~tall(X)))=>(~tall(susan)))&
(![X]:((quiet(X)&~strong(X))=>(~strong(X)|~tall(X))))&
((?[X]:((wise(X)|generous(X))))=>((funny(susan)|~tall(susan))))&
(![X]... | curious(lucy) | [
"p2",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6968202899753388370699281
% SZS output start Proof for 6968202899753388370699281
3. ! [X0] : ((~strong(X0) <~> strong(X0)) => (~humble(X0) & calm(X0))) [input p2]
8. ! [X0] : (~happy(X0) <=> (~calm(X0) | calm(X0))) [input p7]
13. ? [X0] : (~curious(X0) & calm(X0)) => ? [X0] : (~kind(X0) &... | 0 |
If paul is not funny or patient then paul is not old or curious. Everyone who is generous or rich is both humble and not brave and vice versa. If fred is both not happy and not old then fred is either generous or not curious and vice versa. Everyone who is not rich or not generous is either brave or not kind and vice v... | Mary is old. | entailment | (((~funny(paul)|patient(paul)))=>((~old(paul)|curious(paul))))&
(![X]:((generous(X)|rich(X))<=>(humble(X)&~brave(X))))&
(((~happy(fred)&~old(fred)))<=>((generous(fred)<~>~curious(fred))))&
(![X]:((~rich(X)|~generous(X))<=>(brave(X)<~>~kind(X))))&
((~humble(alice))<=>(?[X]:((~patient(X)<~>funny(X)))))&
((~patient(mary))... | old(mary) | [
"p1",
"p3",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1303683787693451782672450
% SZS output start Proof for 1303683787693451782672450
2. ! [X0] : ((rich(X0) | generous(X0)) <=> (~brave(X0) & humble(X0))) [input p1]
4. ! [X0] : ((~generous(X0) | ~rich(X0)) <=> (brave(X0) <~> ~kind(X0))) [input p3]
14. ! [X0] : ((old(X0) | ~kind(X0)) <=> (bra... | 0 |
Everyone who is not rich is both not curious and not tall and vice versa. Everyone who is both quiet and not kind is not strong or brave and vice versa. Everyone who is both not curious and tall is not generous or curious and vice versa. Everyone who is both not brave and calm is both calm and not calm. Everyone who is... | Fred is not funny. | contradiction | (![X]:(~rich(X)<=>(~curious(X)&~tall(X))))&
(![X]:((quiet(X)&~kind(X))<=>(~strong(X)|brave(X))))&
(![X]:((~curious(X)&tall(X))<=>(~generous(X)|curious(X))))&
(![X]:((~brave(X)&calm(X))=>(calm(X)&~calm(X))))&
(![X]:((calm(X)&~strong(X))=>(happy(X)&creative(X))))&
((?[X]:((~creative(X)&funny(X))))<=>((~strong(fred)<~>kin... | ~funny(fred) | [
"p1",
"p2",
"p6",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7315532216876863876703549
% SZS output start Proof for 7315532216876863876703549
2. ! [X0] : ((~kind(X0) & quiet(X0)) <=> (brave(X0) | ~strong(X0))) [input p1]
3. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (curious(X0) | ~generous(X0))) [input p2]
7. ! [X0] : (quiet(X0) => brave(X0)) [input ... | 0 |
If someone is either tall or not strong then someone is humble and vice versa.
If someone is both not kind and not wise then susan is either kind or generous.
Everyone who is not happy is both not funny and happy.
If someone is patient or not happy then fred is either not old or not curious and vice versa.
Everyone who... | Paul is creative. | contradiction | ((?[X]:((tall(X)<~>~strong(X))))<=>(?[X]:(humble(X))))&
((?[X]:((~kind(X)&~wise(X))))=>((kind(susan)<~>generous(susan))))&
(![X]:(~happy(X)=>(~funny(X)&happy(X))))&
((?[X]:((patient(X)|~happy(X))))<=>((~old(fred)<~>~curious(fred))))&
(![X]:((kind(X)|humble(X))=>~humble(X)))&
((?[X]:((wise(X)<~>curious(X))))=>(?[X]:((~b... | creative(paul) | [
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3807738577119492203648447
% SZS output start Proof for 3807738577119492203648447
9. ? [X0] : (creative(X0) | rich(X0)) <=> old(paul) [input p8]
10. ! [X0] : ((strong(X0) | wise(X0)) => (~wise(X0) | ~old(X0))) [input p9]
12. ! [X0] : ((old(X0) | happy(X0)) => (wise(X0) & brave(X0))) [input... | 0 |
Everyone who is both not creative and not rich is either not quiet or not old and vice versa. Everyone who is brave is kind or curious. If someone is generous then someone is not funny. Everyone who is not humble or creative is both old and not generous. If fred is not curious or old then mary is both not happy and bra... | Alice is strong. | neutral | (![X]:((~creative(X)&~rich(X))<=>(~quiet(X)<~>~old(X))))&
(![X]:(brave(X)=>(kind(X)|curious(X))))&
((?[X]:(generous(X)))=>(?[X]:(~funny(X))))&
(![X]:((~humble(X)|creative(X))=>(old(X)&~generous(X))))&
(((~curious(fred)|old(fred)))=>((~happy(mary)&brave(mary))))&
(((wise(mary)<~>generous(mary)))<=>(?[X]:(tall(X))))&
(![... | strong(alice) | [] | null | 0 |
Everyone who is either calm or not curious is creative or wise and vice versa. If someone is either not patient or not funny then someone is not tall or quiet and vice versa. Everyone who is both kind and not rich is not rich. Everyone who is both not creative and not curious is not patient and vice versa. Everyone who... | Mary is brave. | neutral | (![X]:((calm(X)<~>~curious(X))<=>(creative(X)|wise(X))))&
((?[X]:((~patient(X)<~>~funny(X))))<=>(?[X]:((~tall(X)|quiet(X)))))&
(![X]:((kind(X)&~rich(X))=>~rich(X)))&
(![X]:((~creative(X)&~curious(X))<=>~patient(X)))&
(![X]:(generous(X)<=>(curious(X)<~>~calm(X))))&
(![X]:((humble(X)<~>~patient(X))<=>humble(X)))&
((?[X]:... | brave(mary) | [] | null | 0 |
Everyone who is wise is either not brave or not happy.
If paul is not funny then paul is either calm or not kind and vice versa.
Everyone who is both wise and not calm is both not curious and kind.
Everyone who is either not rich or generous is either not brave or funny.
If someone is either not quiet or generous then ... | Lucy is not quiet. | contradiction | (![X]:(wise(X)=>(~brave(X)<~>~happy(X))))&
((~funny(paul))<=>((calm(paul)<~>~kind(paul))))&
(![X]:((wise(X)&~calm(X))=>(~curious(X)&kind(X))))&
(![X]:((~rich(X)<~>generous(X))=>(~brave(X)<~>funny(X))))&
((?[X]:((~quiet(X)<~>generous(X))))<=>((~wise(paul)<~>quiet(paul))))&
(![X]:(~rich(X)=>(curious(X)<~>creative(X))))&
... | ~quiet(lucy) | [
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 686607349959655401141460
% SZS output start Proof for 686607349959655401141460
8. ? [X0] : (kind(X0) & curious(X0)) <=> ? [X0] : patient(X0) [input p7]
11. ? [X0] : kind(X0) <=> (happy(lucy) & quiet(lucy)) [input p10]
19. happy(mary) & patient(mary) [input p18]
25. ~quiet(lucy) [input hyp... | 0 |
Everyone who is both not curious and not rich is not kind and vice versa.
If john is either not old or strong then someone is curious and vice versa.
If fred is both humble and happy then lucy is not rich or not happy.
Everyone who is not calm is not tall or calm and vice versa.
Everyone who is either not calm or happy... | Fred is old. | entailment | (![X]:((~curious(X)&~rich(X))<=>~kind(X)))&
(((~old(john)<~>strong(john)))<=>(?[X]:(curious(X))))&
(((humble(fred)&happy(fred)))=>((~rich(lucy)|~happy(lucy))))&
(![X]:(~calm(X)<=>(~tall(X)|calm(X))))&
(![X]:((~calm(X)<~>happy(X))<=>(~funny(X)|strong(X))))&
(![X]:((rich(X)<~>calm(X))=>(tall(X)&~calm(X))))&
(((~funny(luc... | old(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1153833501043495279466266
% SZS output start Proof for 1153833501043495279466266
9. ! [X0] : (~old(X0) <=> (~wise(X0) & wise(X0))) [input p8]
25. ~old(fred) [input hypothesis]
53. ! [X0] : ((~old(X0) | (wise(X0) | ~wise(X0))) & ((~wise(X0) & wise(X0)) | old(X0))) [nnf transformation 9]
54... | 0 |
Everyone who is strong or not curious is either happy or not curious and vice versa.
If alice is not generous then lucy is not wise or curious.
Everyone who is both old and not strong is either not funny or not happy and vice versa.
Everyone who is not curious is creative or tall and vice versa.
If someone is not wise ... | Lucy is not tall. | neutral | (![X]:((strong(X)|~curious(X))<=>(happy(X)<~>~curious(X))))&
((~generous(alice))=>((~wise(lucy)|curious(lucy))))&
(![X]:((old(X)&~strong(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:(~curious(X)<=>(creative(X)|tall(X))))&
((?[X]:((~wise(X)|~creative(X))))<=>((~humble(john)&curious(john))))&
((?[X]:((funny(X)<~>creative(X))))... | ~tall(lucy) | [] | null | 0 |
Everyone who is not strong is humble or wise and vice versa.
Everyone who is happy or humble is either not happy or not strong and vice versa.
If susan is both not humble and old then someone is either curious or brave.
Everyone who is both kind and not curious is either not happy or not rich and vice versa.
Everyone w... | Lucy is rich. | contradiction | (![X]:(~strong(X)<=>(humble(X)|wise(X))))&
(![X]:((happy(X)|humble(X))<=>(~happy(X)<~>~strong(X))))&
(((~humble(susan)&old(susan)))=>(?[X]:((curious(X)<~>brave(X)))))&
(![X]:((kind(X)&~curious(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:((kind(X)|curious(X))<=>humble(X)))&
(![X]:((~calm(X)&quiet(X))<=>(~rich(X)<~>brave(X))))... | rich(lucy) | [
"p0",
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4997794706124616224793948
% SZS output start Proof for 4997794706124616224793948
1. ! [X0] : (~strong(X0) <=> (wise(X0) | humble(X0))) [input p0]
2. ! [X0] : ((humble(X0) | happy(X0)) <=> (~happy(X0) <~> ~strong(X0))) [input p1]
7. ! [X0] : ((wise(X0) | happy(X0)) <=> (rich(X0) <~> ~stron... | 0 |
Everyone who is not patient is not quiet or not generous.
Everyone who is not strong is both not happy and not rich and vice versa.
If fred is both creative and not happy then someone is either calm or old.
If someone is both not old and old then someone is both humble and not quiet and vice versa.
If susan is not brav... | Fred is rich. | contradiction | (![X]:(~patient(X)=>(~quiet(X)|~generous(X))))&
(![X]:(~strong(X)<=>(~happy(X)&~rich(X))))&
(((creative(fred)&~happy(fred)))=>(?[X]:((calm(X)<~>old(X)))))&
((?[X]:((~old(X)&old(X))))<=>(?[X]:((humble(X)&~quiet(X)))))&
(((~brave(susan)|curious(susan)))<=>(?[X]:(~happy(X))))&
(((~kind(lucy)&~patient(lucy)))<=>(?[X]:((wis... | rich(fred) | [
"p1",
"p7",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5764470278266703730906694
% SZS output start Proof for 5764470278266703730906694
2. ! [X0] : (~strong(X0) <=> (~rich(X0) & ~happy(X0))) [input p1]
8. ! [X0] : (~rich(X0) <=> brave(X0)) [input p7]
9. ! [X0] : (~wise(X0) => (~brave(X0) <~> strong(X0))) [input p8]
10. ! [X0] : ((calm(X0) & p... | 0 |
If alice is humble then someone is both generous and kind and vice versa.
If alice is both happy and not curious then alice is both not brave and not calm.
If someone is not calm then alice is either patient or humble.
Everyone who is either not creative or not happy is both humble and not funny.
Everyone who is either... | John is not kind. | entailment | ((humble(alice))<=>(?[X]:((generous(X)&kind(X)))))&
(((happy(alice)&~curious(alice)))=>((~brave(alice)&~calm(alice))))&
((?[X]:(~calm(X)))=>((patient(alice)<~>humble(alice))))&
(![X]:((~creative(X)<~>~happy(X))=>(humble(X)&~funny(X))))&
(![X]:((generous(X)<~>strong(X))<=>(calm(X)&~patient(X))))&
((?[X]:((~curious(X)&pa... | ~kind(john) | [
"p7",
"p15",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6170568790633822965431930
% SZS output start Proof for 6170568790633822965431930
8. ! [X0] : ((~curious(X0) | ~kind(X0)) => curious(X0)) [input p7]
16. ? [X0] : (wise(X0) | creative(X0)) <=> (~kind(john) | brave(john)) [input p15]
20. ~brave(john) & generous(john) [input p19]
21. ? [X0] :... | 0 |
Everyone who is not creative or creative is not calm and vice versa. Everyone who is both patient and humble is creative and vice versa. If someone is not quiet then someone is either strong or not generous. Everyone who is quiet or not strong is both quiet and calm and vice versa. Everyone who is both not kind and hap... | Lucy is not wise. | entailment | (![X]:((~creative(X)|creative(X))<=>~calm(X)))&
(![X]:((patient(X)&humble(X))<=>creative(X)))&
((?[X]:(~quiet(X)))=>(?[X]:((strong(X)<~>~generous(X)))))&
(![X]:((quiet(X)|~strong(X))<=>(quiet(X)&calm(X))))&
(![X]:((~kind(X)&happy(X))<=>~creative(X)))&
(![X]:((funny(X)&~curious(X))<=>wise(X)))&
(![X]:(~old(X)=>quiet(X))... | ~wise(lucy) | [
"p0",
"p1",
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5967637264793024309251238
% SZS output start Proof for 5967637264793024309251238
1. ! [X0] : ((creative(X0) | ~creative(X0)) <=> ~calm(X0)) [input p0]
2. ! [X0] : ((humble(X0) & patient(X0)) <=> creative(X0)) [input p1]
4. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (calm(X0) & quiet(X0))) [i... | 0 |
If someone is quiet or creative then mary is not creative or not generous and vice versa.
Everyone who is either not strong or creative is wise.
Everyone who is not calm is both not funny and calm and vice versa.
If alice is wise or patient then someone is wise or not quiet.
If someone is not quiet then mary is both no... | Alice is not brave. | neutral | ((?[X]:((quiet(X)|creative(X))))<=>((~creative(mary)|~generous(mary))))&
(![X]:((~strong(X)<~>creative(X))=>wise(X)))&
(![X]:(~calm(X)<=>(~funny(X)&calm(X))))&
(((wise(alice)|patient(alice)))=>(?[X]:((wise(X)|~quiet(X)))))&
((?[X]:(~quiet(X)))=>((~wise(mary)&kind(mary))))&
((?[X]:((happy(X)<~>~rich(X))))<=>(?[X]:((old(... | ~brave(alice) | [] | null | 0 |
If someone is not brave then paul is either not quiet or rich.
Everyone who is quiet or humble is both wise and not calm and vice versa.
If alice is not tall then john is not strong or not tall.
Everyone who is either not old or not quiet is either not rich or humble.
Everyone who is not old or not humble is old.
Every... | Paul is not humble. | entailment | ((?[X]:(~brave(X)))=>((~quiet(paul)<~>rich(paul))))&
(![X]:((quiet(X)|humble(X))<=>(wise(X)&~calm(X))))&
((~tall(alice))=>((~strong(john)|~tall(john))))&
(![X]:((~old(X)<~>~quiet(X))=>(~rich(X)<~>humble(X))))&
(![X]:((~old(X)|~humble(X))=>old(X)))&
(![X]:(curious(X)=>(humble(X)|~tall(X))))&
(((generous(fred)<~>wise(fre... | ~humble(paul) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p10",
"p11",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7443990460002284409307285
% SZS output start Proof for 7443990460002284409307285
1. ? [X0] : ~brave(X0) => (~quiet(paul) <~> rich(paul)) [input p0]
2. ! [X0] : ((humble(X0) | quiet(X0)) <=> (~calm(X0) & wise(X0))) [input p1]
4. ! [X0] : ((~old(X0) <~> ~quiet(X0)) => (~rich(X0) <~> humble(... | 0 |
Everyone who is either not curious or happy is generous or wise and vice versa.
Everyone who is not rich or not generous is not creative or not curious.
If someone is calm or kind then someone is patient or not calm and vice versa.
Everyone who is not tall is both not brave and humble.
If lucy is both funny and not tal... | Alice is not patient. | contradiction | (![X]:((~curious(X)<~>happy(X))<=>(generous(X)|wise(X))))&
(![X]:((~rich(X)|~generous(X))=>(~creative(X)|~curious(X))))&
((?[X]:((calm(X)|kind(X))))<=>(?[X]:((patient(X)|~calm(X)))))&
(![X]:(~tall(X)=>(~brave(X)&humble(X))))&
(((funny(lucy)&~tall(lucy)))<=>((~curious(alice)|~wise(alice))))&
(![X]:((curious(X)<~>~humble... | ~patient(alice) | [
"p0",
"p1",
"p4",
"p5",
"p8",
"p10",
"p13",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7482223228022381163794377
% SZS output start Proof for 7482223228022381163794377
1. ! [X0] : ((~curious(X0) <~> happy(X0)) <=> (wise(X0) | generous(X0))) [input p0]
2. ! [X0] : ((~generous(X0) | ~rich(X0)) => (~curious(X0) | ~creative(X0))) [input p1]
5. (~tall(lucy) & funny(lucy)) <=> (~... | 0 |
Everyone who is either not funny or kind is brave or not quiet and vice versa. Everyone who is calm or not happy is either not creative or not strong and vice versa. Everyone who is both wise and creative is not generous. If alice is both not generous and wise then someone is both not happy and not funny and vice versa... | Fred is not happy. | contradiction | (![X]:((~funny(X)<~>kind(X))<=>(brave(X)|~quiet(X))))&
(![X]:((calm(X)|~happy(X))<=>(~creative(X)<~>~strong(X))))&
(![X]:((wise(X)&creative(X))=>~generous(X)))&
(((~generous(alice)&wise(alice)))<=>(?[X]:((~happy(X)&~funny(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~brave(fred)|~wise(fred))))&
(![X]:(rich(X)=>(happy... | ~happy(fred) | [
"p1",
"p3",
"p5",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 80268144357953093186603
% SZS output start Proof for 80268144357953093186603
2. ! [X0] : ((~happy(X0) | calm(X0)) <=> (~creative(X0) <~> ~strong(X0))) [input p1]
4. (wise(alice) & ~generous(alice)) <=> ? [X0] : (~funny(X0) & ~happy(X0)) [input p3]
6. ! [X0] : (rich(X0) => (~tall(X0) & hap... | 0 |
If fred is both old and not wise then lucy is both not happy and not creative and vice versa.
Everyone who is either happy or quiet is quiet and vice versa.
Everyone who is both patient and not creative is not happy.
If mary is not wise or not patient then someone is both not tall and old.
Everyone who is happy or not ... | Paul is not generous. | entailment | (((old(fred)&~wise(fred)))<=>((~happy(lucy)&~creative(lucy))))&
(![X]:((happy(X)<~>quiet(X))<=>quiet(X)))&
(![X]:((patient(X)&~creative(X))=>~happy(X)))&
(((~wise(mary)|~patient(mary)))=>(?[X]:((~tall(X)&old(X)))))&
(![X]:((happy(X)|~strong(X))=>(old(X)&strong(X))))&
(![X]:((old(X)|creative(X))=>~generous(X)))&
(![X]:(... | ~generous(paul) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6386768391698534234616743
% SZS output start Proof for 6386768391698534234616743
6. ! [X0] : ((creative(X0) | old(X0)) => ~generous(X0)) [input p5]
7. ! [X0] : (generous(X0) => (~curious(X0) & creative(X0))) [input p6]
23. generous(paul) [input hypothesis]
30. ! [X0] : (~generous(X0) | (~... | 0 |
Everyone who is either wise or not happy is either humble or quiet. If someone is both not wise and not creative then john is not rich and vice versa. If someone is kind then paul is either old or not curious. If john is not funny then lucy is not brave or not humble and vice versa. Everyone who is both wise and quiet ... | Alice is not humble. | entailment | (![X]:((wise(X)<~>~happy(X))=>(humble(X)<~>quiet(X))))&
((?[X]:((~wise(X)&~creative(X))))<=>(~rich(john)))&
((?[X]:(kind(X)))=>((old(paul)<~>~curious(paul))))&
((~funny(john))<=>((~brave(lucy)|~humble(lucy))))&
(![X]:((wise(X)&quiet(X))<=>~wise(X)))&
(![X]:((curious(X)|strong(X))<=>old(X)))&
((?[X]:((strong(X)&calm(X))... | ~humble(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2484296216783052393939922
% SZS output start Proof for 2484296216783052393939922
8. ! [X0] : ((calm(X0) | humble(X0)) => (~humble(X0) & brave(X0))) [input p7]
20. humble(alice) [input hypothesis]
27. ! [X0] : ((~humble(X0) & brave(X0)) | (~calm(X0) & ~humble(X0))) [ennf transformation 8]
... | 0 |
Everyone who is either funny or rich is not happy or not old and vice versa. Everyone who is not curious is both brave and not funny and vice versa. If fred is brave then someone is kind or not patient. Everyone who is not wise or kind is not strong and vice versa. Everyone who is not kind or wise is not kind. If someo... | Fred is not kind. | entailment | (![X]:((funny(X)<~>rich(X))<=>(~happy(X)|~old(X))))&
(![X]:(~curious(X)<=>(brave(X)&~funny(X))))&
((brave(fred))=>(?[X]:((kind(X)|~patient(X)))))&
(![X]:((~wise(X)|kind(X))<=>~strong(X)))&
(![X]:((~kind(X)|wise(X))=>~kind(X)))&
((?[X]:((~calm(X)<~>funny(X))))<=>((~old(alice)|calm(alice))))&
((?[X]:((~strong(X)|~calm(X)... | ~kind(fred) | [
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 315555990612450384386350
% SZS output start Proof for 315555990612450384386350
4. ! [X0] : ((kind(X0) | ~wise(X0)) <=> ~strong(X0)) [input p3]
5. ! [X0] : ((wise(X0) | ~kind(X0)) => ~kind(X0)) [input p4]
7. ? [X0] : (~calm(X0) | ~strong(X0)) <=> (strong(fred) & ~funny(fred)) [input p6]
25... | 0 |
Everyone who is not curious is either not wise or not strong and vice versa.
Everyone who is both generous and curious is not old.
Everyone who is not tall is rich or not rich.
Everyone who is both not funny and strong is humble or not rich.
Everyone who is both not humble and not wise is either funny or not strong.
If... | Susan is patient. | neutral | (![X]:(~curious(X)<=>(~wise(X)<~>~strong(X))))&
(![X]:((generous(X)&curious(X))=>~old(X)))&
(![X]:(~tall(X)=>(rich(X)|~rich(X))))&
(![X]:((~funny(X)&strong(X))=>(humble(X)|~rich(X))))&
(![X]:((~humble(X)&~wise(X))=>(funny(X)<~>~strong(X))))&
((brave(lucy))<=>(?[X]:((kind(X)<~>~old(X)))))&
((happy(paul))<=>((old(lucy)&g... | patient(susan) | [] | null | 0 |
Everyone who is either not generous or wise is rich or strong.
If someone is not curious then john is calm.
If mary is either not strong or not tall then someone is either not calm or not strong and vice versa.
Everyone who is strong is either not old or humble.
Everyone who is not creative or not humble is both not ol... | John is strong. | neutral | (![X]:((~generous(X)<~>wise(X))=>(rich(X)|strong(X))))&
((?[X]:(~curious(X)))=>(calm(john)))&
(((~strong(mary)<~>~tall(mary)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((patient(fred)|tall(fr... | strong(john) | [] | null | 0 |
Everyone who is either creative or not calm is humble and vice versa.
If someone is both not curious and patient then paul is both kind and funny and vice versa.
Everyone who is not creative or not generous is not funny or not kind.
If susan is not curious or wise then alice is humble.
Everyone who is either wise or no... | Alice is happy. | entailment | (![X]:((creative(X)<~>~calm(X))<=>humble(X)))&
((?[X]:((~curious(X)&patient(X))))<=>((kind(paul)&funny(paul))))&
(![X]:((~creative(X)|~generous(X))=>(~funny(X)|~kind(X))))&
(((~curious(susan)|wise(susan)))=>(humble(alice)))&
(![X]:((wise(X)<~>~rich(X))=>(patient(X)&creative(X))))&
((?[X]:(~funny(X)))=>((~brave(alice)&o... | happy(alice) | [
"p0",
"p3",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1644736559926075415664935
% SZS output start Proof for 1644736559926075415664935
1. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> humble(X0)) [input p0]
4. (wise(susan) | ~curious(susan)) => humble(alice) [input p3]
11. ! [X0] : (curious(X0) => (~tall(X0) & tall(X0))) [input p10]
12. ! [X0] ... | 0 |
Everyone who is either brave or not rich is not calm.
Everyone who is brave or not tall is brave or strong and vice versa.
If someone is creative then someone is both calm and not calm and vice versa.
Everyone who is quiet is funny or patient.
Everyone who is not happy is either not rich or brave and vice versa.
If som... | Alice is patient. | contradiction | (![X]:((brave(X)<~>~rich(X))=>~calm(X)))&
(![X]:((brave(X)|~tall(X))<=>(brave(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((~patient(susan)|~brave(susan))))&
((?[X]:((curious... | patient(alice) | [
"p2",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3862840317056926698936106
% SZS output start Proof for 3862840317056926698936106
3. ? [X0] : creative(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p2]
10. ! [X0] : (quiet(X0) <=> creative(X0)) [input p9]
15. ? [X0] : (brave(X0) | patient(X0)) <=> ? [X0] : (~patient(X0) <~> ~old(X0)) [in... | 0 |
If susan is both quiet and patient then someone is not humble and vice versa.
If fred is not tall then someone is not kind or not generous.
Everyone who is not kind is either not patient or old.
Everyone who is strong or funny is both strong and kind.
If someone is either not calm or not rich then someone is not genero... | Lucy is not kind. | contradiction | (((quiet(susan)&patient(susan)))<=>(?[X]:(~humble(X))))&
((~tall(fred))=>(?[X]:((~kind(X)|~generous(X)))))&
(![X]:(~kind(X)=>(~patient(X)<~>old(X))))&
(![X]:((strong(X)|funny(X))=>(strong(X)&kind(X))))&
((?[X]:((~calm(X)<~>~rich(X))))=>(?[X]:(~generous(X))))&
((?[X]:((~calm(X)&creative(X))))=>((humble(mary)&~patient(ma... | ~kind(lucy) | [
"p7",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6187970241911565647540752
% SZS output start Proof for 6187970241911565647540752
8. ! [X0] : ((old(X0) | ~rich(X0)) <=> ~old(X0)) [input p7]
10. ! [X0] : ((~curious(X0) & quiet(X0)) <=> ~kind(X0)) [input p9]
20. ~old(lucy) <~> quiet(lucy) [input p19]
24. ~kind(lucy) [input hypothesis]
52.... | 0 |
Everyone who is calm is either not tall or not funny and vice versa.
Everyone who is either calm or generous is not funny or not calm and vice versa.
Everyone who is either not generous or tall is either funny or not creative and vice versa.
If susan is either creative or curious then someone is both not patient and qu... | Fred is old. | entailment | (![X]:(calm(X)<=>(~tall(X)<~>~funny(X))))&
(![X]:((calm(X)<~>generous(X))<=>(~funny(X)|~calm(X))))&
(![X]:((~generous(X)<~>tall(X))<=>(funny(X)<~>~creative(X))))&
(((creative(susan)<~>curious(susan)))=>(?[X]:((~patient(X)&quiet(X)))))&
(((creative(fred)|~curious(fred)))<=>(?[X]:((happy(X)|~old(X)))))&
((?[X]:((rich(X)<... | old(fred) | [
"p0",
"p1",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7001009035242715366324249
% SZS output start Proof for 7001009035242715366324249
1. ! [X0] : (calm(X0) <=> (~tall(X0) <~> ~funny(X0))) [input p0]
2. ! [X0] : ((calm(X0) <~> generous(X0)) <=> (~calm(X0) | ~funny(X0))) [input p1]
8. ! [X0] : ((~old(X0) <~> ~tall(X0)) <=> (curious(X0) | gene... | 0 |
If someone is either not kind or quiet then someone is both rich and not rich and vice versa.
If fred is tall or not curious then john is strong or not quiet and vice versa.
Everyone who is not quiet or not wise is happy.
If someone is both kind and not tall then someone is either humble or not brave.
If john is either... | John is quiet. | entailment | ((?[X]:((~kind(X)<~>quiet(X))))<=>(?[X]:((rich(X)&~rich(X)))))&
(((tall(fred)|~curious(fred)))<=>((strong(john)|~quiet(john))))&
(![X]:((~quiet(X)|~wise(X))=>happy(X)))&
((?[X]:((kind(X)&~tall(X))))=>(?[X]:((humble(X)<~>~brave(X)))))&
(((wise(john)<~>quiet(john)))=>((~curious(alice)<~>tall(alice))))&
(((~wise(fred)|~cr... | quiet(john) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8735380244860953197553290
% SZS output start Proof for 8735380244860953197553290
3. ! [X0] : ((~wise(X0) | ~quiet(X0)) => happy(X0)) [input p2]
17. ~happy(john) & strong(john) [input p16]
25. ~quiet(john) [input hypothesis]
32. ! [X0] : (happy(X0) | (wise(X0) & quiet(X0))) [ennf transform... | 0 |
Everyone who is either not generous or not kind is wise. If alice is either calm or humble then susan is both not wise and not quiet and vice versa. Everyone who is both not brave and not curious is both not patient and not tall and vice versa. If susan is either quiet or curious then someone is either not wise or not ... | Alice is not quiet. | neutral | (![X]:((~generous(X)<~>~kind(X))=>wise(X)))&
(((calm(alice)<~>humble(alice)))<=>((~wise(susan)&~quiet(susan))))&
(![X]:((~brave(X)&~curious(X))<=>(~patient(X)&~tall(X))))&
(((quiet(susan)<~>curious(susan)))<=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((~rich(X)&~calm(X))<=>(tall(X)<~>~wise(X))))&
(![X]:(wise(X)=>(~wise(X)&... | ~quiet(alice) | [] | null | 0 |
If someone is not kind or not tall then alice is not creative and vice versa.
Everyone who is either creative or not patient is both not calm and calm and vice versa.
If alice is funny then someone is not kind.
Everyone who is either not quiet or not wise is happy or not calm.
If someone is calm then lucy is rich or cu... | Alice is not funny. | neutral | ((?[X]:((~kind(X)|~tall(X))))<=>(~creative(alice)))&
(![X]:((creative(X)<~>~patient(X))<=>(~calm(X)&calm(X))))&
((funny(alice))=>(?[X]:(~kind(X))))&
(![X]:((~quiet(X)<~>~wise(X))=>(happy(X)|~calm(X))))&
((?[X]:(calm(X)))=>((rich(lucy)|curious(lucy))))&
(![X]:((~old(X)&strong(X))<=>(~quiet(X)<~>brave(X))))&
(![X]:(humbl... | ~funny(alice) | [] | null | 0 |
If lucy is not tall or not curious then someone is both humble and calm.
If someone is not curious then fred is not tall.
If someone is not strong then someone is both calm and not happy.
If susan is both not rich and wise then mary is either not kind or not wise and vice versa.
If lucy is either not generous or not ca... | Fred is humble. | contradiction | (((~tall(lucy)|~curious(lucy)))=>(?[X]:((humble(X)&calm(X)))))&
((?[X]:(~curious(X)))=>(~tall(fred)))&
((?[X]:(~strong(X)))=>(?[X]:((calm(X)&~happy(X)))))&
(((~rich(susan)&wise(susan)))<=>((~kind(mary)<~>~wise(mary))))&
(((~generous(lucy)<~>~calm(lucy)))=>((wise(john)<~>~old(john))))&
(((~strong(alice)|rich(alice)))=>(... | humble(fred) | [
"p1",
"p5",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3020448991324189728213265
% SZS output start Proof for 3020448991324189728213265
2. ? [X0] : ~curious(X0) => ~tall(fred) [input p1]
6. (rich(alice) | ~strong(alice)) => (~humble(fred) | strong(fred)) [input p5]
7. ? [X0] : creative(X0) <=> (~patient(fred) & happy(fred)) [input p6]
9. ! [X... | 0 |
Everyone who is calm or funny is humble and vice versa. Everyone who is both not old and not happy is not patient or not happy. If susan is either strong or not curious then lucy is brave and vice versa. Everyone who is both not patient and not tall is happy or not brave. Everyone who is not quiet is both curious and n... | Paul is not strong. | neutral | (![X]:((calm(X)|funny(X))<=>humble(X)))&
(![X]:((~old(X)&~happy(X))=>(~patient(X)|~happy(X))))&
(((strong(susan)<~>~curious(susan)))<=>(brave(lucy)))&
(![X]:((~patient(X)&~tall(X))=>(happy(X)|~brave(X))))&
(![X]:(~quiet(X)=>(curious(X)&~calm(X))))&
((?[X]:((rich(X)<~>~old(X))))<=>((~kind(lucy)<~>~strong(lucy))))&
(((~q... | ~strong(paul) | [] | null | 0 |
Everyone who is generous is either wise or generous and vice versa. Everyone who is either not funny or tall is both not patient and not calm and vice versa. Everyone who is both humble and not humble is not generous. Everyone who is not rich or not wise is curious. If john is not old then someone is not calm or not ge... | Paul is not curious. | contradiction | (![X]:(generous(X)<=>(wise(X)<~>generous(X))))&
(![X]:((~funny(X)<~>tall(X))<=>(~patient(X)&~calm(X))))&
(![X]:((humble(X)&~humble(X))=>~generous(X)))&
(![X]:((~rich(X)|~wise(X))=>curious(X)))&
((~old(john))=>(?[X]:((~calm(X)|~generous(X)))))&
(![X]:(strong(X)<=>(creative(X)&~wise(X))))&
(((funny(lucy)|humble(lucy)))=>... | ~curious(paul) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7744427982083737220218301
% SZS output start Proof for 7744427982083737220218301
1. ! [X0] : (generous(X0) <=> (wise(X0) <~> generous(X0))) [input p0]
4. ! [X0] : ((~wise(X0) | ~rich(X0)) => curious(X0)) [input p3]
25. ~curious(paul) [input hypothesis]
32. ! [X0] : (curious(X0) | (wise(X0... | 0 |
Everyone who is either humble or not happy is either not quiet or calm.
Everyone who is either curious or not wise is either not brave or not rich and vice versa.
Everyone who is either not creative or not strong is either not tall or patient.
If someone is both not kind and not rich then mary is either not kind or qui... | Fred is old. | neutral | (![X]:((humble(X)<~>~happy(X))=>(~quiet(X)<~>calm(X))))&
(![X]:((curious(X)<~>~wise(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:((~creative(X)<~>~strong(X))=>(~tall(X)<~>patient(X))))&
((?[X]:((~kind(X)&~rich(X))))<=>((~kind(mary)<~>quiet(mary))))&
(((calm(john)&curious(john)))<=>(?[X]:((old(X)&generous(X)))))&
(![X]:((humbl... | old(fred) | [] | null | 0 |
If someone is both not rich and tall then mary is not quiet or curious.
Everyone who is wise is not tall or curious and vice versa.
If paul is both happy and wise then susan is both not rich and not happy and vice versa.
Everyone who is not quiet or not curious is not tall.
If someone is both brave and curious then som... | John is not kind. | neutral | ((?[X]:((~rich(X)&tall(X))))=>((~quiet(mary)|curious(mary))))&
(![X]:(wise(X)<=>(~tall(X)|curious(X))))&
(((happy(paul)&wise(paul)))<=>((~rich(susan)&~happy(susan))))&
(![X]:((~quiet(X)|~curious(X))=>~tall(X)))&
((?[X]:((brave(X)&curious(X))))=>(?[X]:(generous(X))))&
(![X]:((kind(X)<~>humble(X))=>(~creative(X)<~>creati... | ~kind(john) | [] | null | 0 |
If susan is not humble or brave then someone is not curious or not generous.
If someone is either not humble or not funny then alice is generous and vice versa.
Everyone who is either calm or generous is either strong or brave.
Everyone who is not curious is not tall or not kind and vice versa.
Everyone who is generous... | Mary is not creative. | neutral | (((~humble(susan)|brave(susan)))=>(?[X]:((~curious(X)|~generous(X)))))&
((?[X]:((~humble(X)<~>~funny(X))))<=>(generous(alice)))&
(![X]:((calm(X)<~>generous(X))=>(strong(X)<~>brave(X))))&
(![X]:(~curious(X)<=>(~tall(X)|~kind(X))))&
(![X]:((generous(X)|~rich(X))<=>(~rich(X)<~>~old(X))))&
((?[X]:((old(X)|~happy(X))))=>(?[... | ~creative(mary) | [] | null | 0 |
Everyone who is not happy or not rich is either quiet or happy and vice versa.
Everyone who is strong or not wise is either calm or rich and vice versa.
Everyone who is humble is happy and vice versa.
Everyone who is not patient is either not tall or funny and vice versa.
If someone is patient or happy then fred is not... | John is not funny. | entailment | (![X]:((~happy(X)|~rich(X))<=>(quiet(X)<~>happy(X))))&
(![X]:((strong(X)|~wise(X))<=>(calm(X)<~>rich(X))))&
(![X]:(humble(X)<=>happy(X)))&
(![X]:(~patient(X)<=>(~tall(X)<~>funny(X))))&
((?[X]:((patient(X)|happy(X))))=>(~strong(fred)))&
(![X]:((tall(X)&~generous(X))=>calm(X)))&
((?[X]:((~wise(X)|creative(X))))<=>(?[X]:(... | ~funny(john) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7894490970211164133455081
% SZS output start Proof for 7894490970211164133455081
1. ! [X0] : ((~rich(X0) | ~happy(X0)) <=> (quiet(X0) <~> happy(X0))) [input p0]
4. ! [X0] : (~patient(X0) <=> (~tall(X0) <~> funny(X0))) [input p3]
5. ? [X0] : (happy(X0) | patient(X0)) => ~strong(fred) [inpu... | 0 |
Everyone who is happy or not brave is both generous and not generous and vice versa. Everyone who is wise is not calm or humble. Everyone who is not happy is not wise or not creative and vice versa. If someone is both kind and not happy then someone is brave and vice versa. If lucy is both happy and humble then alice i... | Susan is not happy. | entailment | (![X]:((happy(X)|~brave(X))<=>(generous(X)&~generous(X))))&
(![X]:(wise(X)=>(~calm(X)|humble(X))))&
(![X]:(~happy(X)<=>(~wise(X)|~creative(X))))&
((?[X]:((kind(X)&~happy(X))))<=>(?[X]:(brave(X))))&
(((happy(lucy)&humble(lucy)))<=>((~strong(alice)<~>brave(alice))))&
(![X]:(happy(X)<=>(patient(X)|~old(X))))&
((~wise(paul... | ~happy(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5398269812489508126454530
% SZS output start Proof for 5398269812489508126454530
1. ! [X0] : ((~brave(X0) | happy(X0)) <=> (~generous(X0) & generous(X0))) [input p0]
23. happy(susan) [input hypothesis]
34. ! [X0] : (((~brave(X0) | happy(X0)) | (generous(X0) | ~generous(X0))) & ((~generous... | 0 |
Everyone who is patient is not curious or not brave.
Everyone who is not humble or not funny is either tall or old.
If lucy is not brave then alice is either humble or patient and vice versa.
If someone is tall or not patient then paul is either not happy or happy.
If someone is not calm or generous then fred is genero... | Alice is not humble. | entailment | (![X]:(patient(X)=>(~curious(X)|~brave(X))))&
(![X]:((~humble(X)|~funny(X))=>(tall(X)<~>old(X))))&
((~brave(lucy))<=>((humble(alice)<~>patient(alice))))&
((?[X]:((tall(X)|~patient(X))))=>((~happy(paul)<~>happy(paul))))&
((?[X]:((~calm(X)|generous(X))))<=>(generous(fred)))&
(![X]:(~happy(X)=>(~funny(X)&happy(X))))&
((?[... | ~humble(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 292818790291504420127468
% SZS output start Proof for 292818790291504420127468
8. ! [X0] : ((humble(X0) | kind(X0)) => ~humble(X0)) [input p7]
24. humble(alice) [input hypothesis]
31. ! [X0] : (~humble(X0) | (~humble(X0) & ~kind(X0))) [ennf transformation 8]
105. ~humble(X0) | ~humble(X0)... | 0 |
Everyone who is both not rich and not brave is curious and vice versa. If lucy is either not patient or creative then someone is not old or not creative and vice versa. Everyone who is both tall and not calm is both strong and creative. Everyone who is either not happy or not patient is both not calm and not old and vi... | Mary is quiet. | neutral | (![X]:((~rich(X)&~brave(X))<=>curious(X)))&
(((~patient(lucy)<~>creative(lucy)))<=>(?[X]:((~old(X)|~creative(X)))))&
(![X]:((tall(X)&~calm(X))=>(strong(X)&creative(X))))&
(![X]:((~happy(X)<~>~patient(X))<=>(~calm(X)&~old(X))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:(~funny(X)<=>(~kind(X)&~patient(... | quiet(mary) | [] | null | 0 |
If someone is either not kind or humble then john is curious.
Everyone who is not creative is either not calm or old.
Everyone who is generous is both happy and not kind and vice versa.
If someone is creative or not calm then someone is either not rich or not strong.
Everyone who is both not kind and tall is both not f... | Paul is not old. | entailment | ((?[X]:((~kind(X)<~>humble(X))))=>(curious(john)))&
(![X]:(~creative(X)=>(~calm(X)<~>old(X))))&
(![X]:(generous(X)<=>(happy(X)&~kind(X))))&
((?[X]:((creative(X)|~calm(X))))=>(?[X]:((~rich(X)<~>~strong(X)))))&
(![X]:((~kind(X)&tall(X))=>(~funny(X)&~kind(X))))&
((~strong(john))=>((~patient(fred)&curious(fred))))&
(![X]:(... | ~old(paul) | [
"p1",
"p6",
"p8",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4527174503607702534679281
% SZS output start Proof for 4527174503607702534679281
2. ! [X0] : (~creative(X0) => (~calm(X0) <~> old(X0))) [input p1]
7. ! [X0] : ((~old(X0) <~> ~calm(X0)) <=> (creative(X0) <~> ~humble(X0))) [input p6]
9. ! [X0] : ((~rich(X0) | humble(X0)) <=> ~patient(X0)) [... | 0 |
If john is not happy then someone is either not patient or not brave and vice versa.
Everyone who is generous or not creative is tall and vice versa.
Everyone who is old is either not old or not happy and vice versa.
If alice is both not rich and happy then someone is both not happy and not curious and vice versa.
If s... | Alice is curious. | entailment | ((~happy(john))<=>(?[X]:((~patient(X)<~>~brave(X)))))&
(![X]:((generous(X)|~creative(X))<=>tall(X)))&
(![X]:(old(X)<=>(~old(X)<~>~happy(X))))&
(((~rich(alice)&happy(alice)))<=>(?[X]:((~happy(X)&~curious(X)))))&
((?[X]:((~rich(X)|patient(X))))<=>((generous(mary)&quiet(mary))))&
(![X]:((~patient(X)|humble(X))<=>(~kind(X)... | curious(alice) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7893601264006930592410558
% SZS output start Proof for 7893601264006930592410558
3. ! [X0] : (old(X0) <=> (~old(X0) <~> ~happy(X0))) [input p2]
4. (happy(alice) & ~rich(alice)) <=> ? [X0] : (~curious(X0) & ~happy(X0)) [input p3]
25. ~curious(alice) [input hypothesis]
36. ! [X0] : ((old(X0... | 0 |
Everyone who is either curious or generous is both kind and patient.
If fred is not quiet then mary is quiet.
If someone is both rich and not tall then someone is not happy or not calm and vice versa.
Everyone who is happy or quiet is not rich or curious.
If someone is quiet then someone is both not tall and rich and v... | Mary is curious. | neutral | (![X]:((curious(X)<~>generous(X))=>(kind(X)&patient(X))))&
((~quiet(fred))=>(quiet(mary)))&
((?[X]:((rich(X)&~tall(X))))<=>(?[X]:((~happy(X)|~calm(X)))))&
(![X]:((happy(X)|quiet(X))=>(~rich(X)|curious(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((~tall(X)&rich(X)))))&
((?[X]:((rich(X)<~>~happy(X))))=>(?[X]:((rich(X)<~>~humble(X)... | curious(mary) | [] | null | 0 |
If alice is both wise and not quiet then someone is both not quiet and quiet.
Everyone who is both not strong and strong is both not brave and not rich and vice versa.
Everyone who is not kind or kind is both strong and not humble.
Everyone who is either not rich or not calm is either not strong or not brave and vice v... | Paul is calm. | contradiction | (((wise(alice)&~quiet(alice)))=>(?[X]:((~quiet(X)&quiet(X)))))&
(![X]:((~strong(X)&strong(X))<=>(~brave(X)&~rich(X))))&
(![X]:((~kind(X)|kind(X))=>(strong(X)&~humble(X))))&
(![X]:((~rich(X)<~>~calm(X))<=>(~strong(X)<~>~brave(X))))&
(((humble(alice)|~creative(alice)))<=>(?[X]:((funny(X)<~>generous(X)))))&
((?[X]:((~old(... | calm(paul) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p8",
"p11",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 24105442069238292835984
% SZS output start Proof for 24105442069238292835984
2. ! [X0] : ((strong(X0) & ~strong(X0)) <=> (~rich(X0) & ~brave(X0))) [input p1]
3. ! [X0] : ((kind(X0) | ~kind(X0)) => (~humble(X0) & strong(X0))) [input p2]
4. ! [X0] : ((~rich(X0) <~> ~calm(X0)) <=> (~strong(X... | 0 |
If someone is either not old or tall then someone is not calm or not strong and vice versa.
If lucy is either wise or not generous then someone is either brave or rich and vice versa.
Everyone who is either tall or wise is either quiet or not kind and vice versa.
Everyone who is wise is humble or creative and vice vers... | Paul is not old. | entailment | ((?[X]:((~old(X)<~>tall(X))))<=>(?[X]:((~calm(X)|~strong(X)))))&
(((wise(lucy)<~>~generous(lucy)))<=>(?[X]:((brave(X)<~>rich(X)))))&
(![X]:((tall(X)<~>wise(X))<=>(quiet(X)<~>~kind(X))))&
(![X]:(wise(X)<=>(humble(X)|creative(X))))&
((brave(lucy))=>((~tall(lucy)|brave(lucy))))&
(![X]:((~wise(X)|~funny(X))=>(quiet(X)<~>~o... | ~old(paul) | [
"p6",
"p7",
"p13",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 125332197195304513615020
% SZS output start Proof for 125332197195304513615020
7. ! [X0] : ((wise(X0) | strong(X0)) => (~happy(X0) <~> tall(X0))) [input p6]
8. (~patient(john) & patient(john)) <=> ? [X0] : (~old(X0) <~> ~tall(X0)) [input p7]
14. ! [X0] : ((~strong(X0) | ~creative(X0)) => ... | 0 |
Everyone who is both strong and not quiet is either not old or old and vice versa.
Everyone who is wise is curious.
If mary is either not kind or not quiet then someone is either not patient or happy and vice versa.
If john is tall or funny then lucy is not strong or not humble.
If someone is generous then someone is n... | Paul is brave. | contradiction | (![X]:((strong(X)&~quiet(X))<=>(~old(X)<~>old(X))))&
(![X]:(wise(X)=>curious(X)))&
(((~kind(mary)<~>~quiet(mary)))<=>(?[X]:((~patient(X)<~>happy(X)))))&
(((tall(john)|funny(john)))=>((~strong(lucy)|~humble(lucy))))&
((?[X]:(generous(X)))<=>(?[X]:(~old(X))))&
((humble(mary))<=>((patient(lucy)|rich(lucy))))&
((?[X]:((~ol... | brave(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 900302132264137116406324
% SZS output start Proof for 900302132264137116406324
20. ~quiet(paul) & ~brave(paul) [input p19]
24. brave(paul) [input hypothesis]
137. ~brave(paul) [cnf transformation 20]
144. brave(paul) [cnf transformation 24]
340. $false [subsumption resolution 144,137]
% S... | 0 |
Everyone who is rich or patient is not brave or happy.
Everyone who is either humble or not rich is either patient or not happy.
Everyone who is either rich or not generous is old.
Everyone who is not quiet or rich is curious or not wise.
Everyone who is generous or not brave is both quiet and generous.
If fred is eith... | Susan is funny. | contradiction | (![X]:((rich(X)|patient(X))=>(~brave(X)|happy(X))))&
(![X]:((humble(X)<~>~rich(X))=>(patient(X)<~>~happy(X))))&
(![X]:((rich(X)<~>~generous(X))=>old(X)))&
(![X]:((~quiet(X)|rich(X))=>(curious(X)|~wise(X))))&
(![X]:((generous(X)|~brave(X))=>(quiet(X)&generous(X))))&
(((generous(fred)<~>patient(fred)))<=>((~old(paul)<~>~... | funny(susan) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9033014426451924119540065
% SZS output start Proof for 9033014426451924119540065
12. ! [X0] : ((wise(X0) | funny(X0)) <=> curious(X0)) [input p11]
17. ~curious(susan) & ~wise(susan) [input p16]
25. funny(susan) [input hypothesis]
62. ! [X0] : (((wise(X0) | funny(X0)) | ~curious(X0)) & (cu... | 0 |
Everyone who is both not quiet and not curious is either not brave or old. Everyone who is not quiet or brave is either calm or humble. If paul is not curious or not brave then alice is quiet or rich and vice versa. Everyone who is not calm is either brave or not old. Everyone who is both not creative and not strong is... | Mary is not tall. | neutral | (![X]:((~quiet(X)&~curious(X))=>(~brave(X)<~>old(X))))&
(![X]:((~quiet(X)|brave(X))=>(calm(X)<~>humble(X))))&
(((~curious(paul)|~brave(paul)))<=>((quiet(alice)|rich(alice))))&
(![X]:(~calm(X)=>(brave(X)<~>~old(X))))&
(![X]:((~creative(X)&~strong(X))=>(~creative(X)&curious(X))))&
(![X]:((~humble(X)|~generous(X))<=>(~cre... | ~tall(mary) | [] | null | 0 |
Everyone who is either creative or not kind is not quiet or not creative.
Everyone who is happy or not strong is either rich or strong.
If someone is rich then someone is both tall and wise and vice versa.
Everyone who is strong is both not kind and patient and vice versa.
Everyone who is both not quiet and tall is eit... | Paul is generous. | neutral | (![X]:((creative(X)<~>~kind(X))=>(~quiet(X)|~creative(X))))&
(![X]:((happy(X)|~strong(X))=>(rich(X)<~>strong(X))))&
((?[X]:(rich(X)))<=>(?[X]:((tall(X)&wise(X)))))&
(![X]:(strong(X)<=>(~kind(X)&patient(X))))&
(![X]:((~quiet(X)&tall(X))<=>(happy(X)<~>curious(X))))&
(((~funny(mary)&~patient(mary)))=>(?[X]:(~kind(X))))&
(... | generous(paul) | [] | null | 0 |
If someone is either not wise or old then susan is both strong and kind and vice versa.
If someone is not brave then someone is calm.
If someone is not rich or old then someone is not rich and vice versa.
If mary is both funny and not kind then someone is both brave and wise.
Everyone who is both kind and happy is eith... | Alice is calm. | neutral | ((?[X]:((~wise(X)<~>old(X))))<=>((strong(susan)&kind(susan))))&
((?[X]:(~brave(X)))=>(?[X]:(calm(X))))&
((?[X]:((~rich(X)|old(X))))<=>(?[X]:(~rich(X))))&
(((funny(mary)&~kind(mary)))=>(?[X]:((brave(X)&wise(X)))))&
(![X]:((kind(X)&happy(X))=>(~funny(X)<~>quiet(X))))&
((~curious(alice))<=>(?[X]:((~creative(X)<~>happy(X))... | calm(alice) | [] | null | 0 |
Everyone who is either not kind or happy is not old or not humble.
If susan is both rich and kind then someone is curious or strong.
If someone is not creative then someone is not happy or tall and vice versa.
Everyone who is wise or not calm is either not wise or creative and vice versa.
If someone is not wise or not ... | Paul is creative. | entailment | (![X]:((~kind(X)<~>happy(X))=>(~old(X)|~humble(X))))&
(((rich(susan)&kind(susan)))=>(?[X]:((curious(X)|strong(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((~happy(X)|tall(X)))))&
(![X]:((wise(X)|~calm(X))<=>(~wise(X)<~>creative(X))))&
((?[X]:((~wise(X)|~patient(X))))=>(?[X]:((brave(X)|~kind(X)))))&
(((~strong(lucy)|creative... | creative(paul) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3593078727060959034236488
% SZS output start Proof for 3593078727060959034236488
4. ! [X0] : ((~calm(X0) | wise(X0)) <=> (~wise(X0) <~> creative(X0))) [input p3]
12. ! [X0] : ((~humble(X0) | ~wise(X0)) => calm(X0)) [input p11]
22. ~creative(paul) [input hypothesis]
37. ! [X0] : (calm(X0) ... | 0 |
If susan is quiet or not old then someone is both not generous and not happy.
If fred is not tall or curious then paul is both not patient and not creative.
Everyone who is both not tall and not strong is quiet or not creative and vice versa.
If someone is both not creative and tall then john is not generous.
Everyone ... | Paul is not strong. | entailment | (((quiet(susan)|~old(susan)))=>(?[X]:((~generous(X)&~happy(X)))))&
(((~tall(fred)|curious(fred)))=>((~patient(paul)&~creative(paul))))&
(![X]:((~tall(X)&~strong(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~creative(X)&tall(X))))=>(~generous(john)))&
(![X]:(~curious(X)<=>(~old(X)|~brave(X))))&
(((~calm(alice)|humble(alice... | ~strong(paul) | [
"p2",
"p6",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2216335288004543217768715
% SZS output start Proof for 2216335288004543217768715
3. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~creative(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (tall(X0) <~> generous(X0))) [input p6]
10. ! [X0] : (brave(X0) <=> (~humble(X0) | st... | 0 |
If someone is both brave and not old then fred is both brave and patient and vice versa.
If paul is either strong or not happy then someone is either rich or not patient and vice versa.
If someone is either humble or happy then lucy is patient and vice versa.
If susan is either not funny or humble then fred is not calm... | Lucy is not old. | neutral | ((?[X]:((brave(X)&~old(X))))<=>((brave(fred)&patient(fred))))&
(((strong(paul)<~>~happy(paul)))<=>(?[X]:((rich(X)<~>~patient(X)))))&
((?[X]:((humble(X)<~>happy(X))))<=>(patient(lucy)))&
(((~funny(susan)<~>humble(susan)))<=>((~calm(fred)|~curious(fred))))&
((?[X]:((~wise(X)|wise(X))))=>(?[X]:((~curious(X)|creative(X))))... | ~old(lucy) | [] | null | 0 |
If alice is rich then mary is either wise or not happy and vice versa. If someone is either wise or patient then mary is both not calm and not generous. If lucy is wise then susan is not creative. Everyone who is not brave is both not kind and generous. If someone is not wise or not kind then someone is both creative a... | Mary is creative. | contradiction | ((rich(alice))<=>((wise(mary)<~>~happy(mary))))&
((?[X]:((wise(X)<~>patient(X))))=>((~calm(mary)&~generous(mary))))&
((wise(lucy))=>(~creative(susan)))&
(![X]:(~brave(X)=>(~kind(X)&generous(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((creative(X)&~curious(X)))))&
(![X]:(~wise(X)=>~creative(X)))&
(![X]:((brave(X)&curio... | creative(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 75176677068231800238548
% SZS output start Proof for 75176677068231800238548
9. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> calm(X0)) [input p8]
21. creative(mary) [input hypothesis]
44. ! [X0] : (((~creative(X0) | ~calm(X0)) | ~calm(X0)) & (calm(X0) | (creative(X0) & calm(X0)))) [nnf trans... | 0 |
Everyone who is either wise or rich is both strong and not tall. Everyone who is either not curious or strong is not kind and vice versa. If paul is either not kind or not strong then mary is not old or brave and vice versa. Everyone who is either not old or not humble is both rich and not funny and vice versa. If some... | Lucy is kind. | neutral | (![X]:((wise(X)<~>rich(X))=>(strong(X)&~tall(X))))&
(![X]:((~curious(X)<~>strong(X))<=>~kind(X)))&
(((~kind(paul)<~>~strong(paul)))<=>((~old(mary)|brave(mary))))&
(![X]:((~old(X)<~>~humble(X))<=>(rich(X)&~funny(X))))&
((?[X]:(strong(X)))<=>((generous(john)|quiet(john))))&
(![X]:((patient(X)<~>~brave(X))=>(~tall(X)|old(... | kind(lucy) | [] | null | 0 |
Everyone who is wise or not kind is humble or old.
Everyone who is patient or not old is funny.
Everyone who is either not patient or old is both not calm and not creative.
Everyone who is either patient or not brave is both calm and not happy and vice versa.
If someone is happy then someone is either not kind or brave... | Fred is not patient. | contradiction | (![X]:((wise(X)|~kind(X))=>(humble(X)|old(X))))&
(![X]:((patient(X)|~old(X))=>funny(X)))&
(![X]:((~patient(X)<~>old(X))=>(~calm(X)&~creative(X))))&
(![X]:((patient(X)<~>~brave(X))<=>(calm(X)&~happy(X))))&
((?[X]:(happy(X)))=>(?[X]:((~kind(X)<~>brave(X)))))&
(![X]:(~wise(X)<=>(~quiet(X)&~wise(X))))&
(![X]:((kind(X)|~hap... | ~patient(fred) | [
"p1",
"p3",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 873776154128820627857735
% SZS output start Proof for 873776154128820627857735
2. ! [X0] : ((~old(X0) | patient(X0)) => funny(X0)) [input p1]
4. ! [X0] : ((patient(X0) <~> ~brave(X0)) <=> (~happy(X0) & calm(X0))) [input p3]
14. (rich(fred) & ~brave(fred)) <=> ? [X0] : (~calm(X0) | funny(X... | 0 |
Everyone who is both not old and quiet is strong.
If someone is either generous or creative then paul is not happy or not tall and vice versa.
If susan is both tall and not old then someone is both curious and not wise.
Everyone who is both not wise and humble is both not wise and funny and vice versa.
If someone is no... | Paul is strong. | neutral | (![X]:((~old(X)&quiet(X))=>strong(X)))&
((?[X]:((generous(X)<~>creative(X))))<=>((~happy(paul)|~tall(paul))))&
(((tall(susan)&~old(susan)))=>(?[X]:((curious(X)&~wise(X)))))&
(![X]:((~wise(X)&humble(X))<=>(~wise(X)&funny(X))))&
((?[X]:(~creative(X)))=>((patient(john)&calm(john))))&
(![X]:(~generous(X)=>(~strong(X)&rich(... | strong(paul) | [] | null | 0 |
If someone is strong or not calm then mary is either not creative or not happy and vice versa.
Everyone who is tall or curious is both strong and not creative.
If fred is creative or quiet then john is either not strong or curious.
If mary is calm then lucy is not quiet and vice versa.
Everyone who is both quiet and no... | Susan is not creative. | neutral | ((?[X]:((strong(X)|~calm(X))))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:((tall(X)|curious(X))=>(strong(X)&~creative(X))))&
(((creative(fred)|quiet(fred)))=>((~strong(john)<~>curious(john))))&
((calm(mary))<=>(~quiet(lucy)))&
(![X]:((quiet(X)&~happy(X))<=>~happy(X)))&
(![X]:(creative(X)<=>(~wise(X)|tall(X))))&
((~pa... | ~creative(susan) | [] | null | 0 |
If paul is kind or funny then someone is both patient and creative.
Everyone who is either curious or not wise is either not old or rich and vice versa.
Everyone who is either calm or not tall is not strong or creative and vice versa.
If someone is both not rich and creative then john is either rich or not generous and... | Lucy is not brave. | entailment | (((kind(paul)|funny(paul)))=>(?[X]:((patient(X)&creative(X)))))&
(![X]:((curious(X)<~>~wise(X))<=>(~old(X)<~>rich(X))))&
(![X]:((calm(X)<~>~tall(X))<=>(~strong(X)|creative(X))))&
((?[X]:((~rich(X)&creative(X))))<=>((rich(john)<~>~generous(john))))&
((?[X]:((~patient(X)&~brave(X))))=>(?[X]:((calm(X)|quiet(X)))))&
(![X]:... | ~brave(lucy) | [
"p5",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4788286566063420108568942
% SZS output start Proof for 4788286566063420108568942
6. ! [X0] : ((funny(X0) | ~strong(X0)) => (funny(X0) & ~happy(X0))) [input p5]
10. ! [X0] : ((funny(X0) | ~wise(X0)) <=> (~brave(X0) <~> wise(X0))) [input p9]
19. wise(lucy) <~> ~happy(lucy) [input p18]
25. b... | 0 |
If susan is both not wise and not happy then someone is both not calm and generous. Everyone who is not rich is funny and vice versa. If someone is not old or curious then someone is both wise and not brave and vice versa. Everyone who is not kind or not creative is strong and vice versa. If john is both not patient an... | Lucy is strong. | entailment | (((~wise(susan)&~happy(susan)))=>(?[X]:((~calm(X)&generous(X)))))&
(![X]:(~rich(X)<=>funny(X)))&
((?[X]:((~old(X)|curious(X))))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((~kind(X)|~creative(X))<=>strong(X)))&
(((~patient(john)&~wise(john)))=>((brave(paul)|~curious(paul))))&
(![X]:((~calm(X)|~generous(X))<=>(~wise(X)|~bra... | strong(lucy) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1742075942893564749999890
% SZS output start Proof for 1742075942893564749999890
4. ! [X0] : ((~creative(X0) | ~kind(X0)) <=> strong(X0)) [input p3]
15. ! [X0] : ((~patient(X0) & strong(X0)) <=> (~funny(X0) | kind(X0))) [input p14]
24. ~strong(lucy) [input hypothesis]
42. ! [X0] : (((~cre... | 0 |
Everyone who is old or not tall is both not curious and patient and vice versa. Everyone who is patient is both quiet and wise and vice versa. Everyone who is wise is generous or not strong and vice versa. Everyone who is humble is not creative or creative and vice versa. Everyone who is old is not wise. If someone is ... | John is tall. | entailment | (![X]:((old(X)|~tall(X))<=>(~curious(X)&patient(X))))&
(![X]:(patient(X)<=>(quiet(X)&wise(X))))&
(![X]:(wise(X)<=>(generous(X)|~strong(X))))&
(![X]:(humble(X)<=>(~creative(X)|creative(X))))&
(![X]:(old(X)=>~wise(X)))&
((?[X]:((happy(X)<~>~quiet(X))))=>((kind(john)<~>~wise(john))))&
(![X]:(~strong(X)=>(humble(X)<~>~rich... | tall(john) | [
"p0",
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3804370793721402852545775
% SZS output start Proof for 3804370793721402852545775
1. ! [X0] : ((~tall(X0) | old(X0)) <=> (patient(X0) & ~curious(X0))) [input p0]
2. ! [X0] : (patient(X0) <=> (wise(X0) & quiet(X0))) [input p1]
9. ! [X0] : ((wise(X0) | quiet(X0)) => (~patient(X0) & funny(X0)... | 0 |
Everyone who is quiet or generous is not tall and vice versa. Everyone who is brave is not quiet or curious and vice versa. If someone is generous or not wise then fred is calm or kind and vice versa. Everyone who is both creative and happy is either not generous or calm and vice versa. Everyone who is either not old o... | Mary is tall. | contradiction | (![X]:((quiet(X)|generous(X))<=>~tall(X)))&
(![X]:(brave(X)<=>(~quiet(X)|curious(X))))&
((?[X]:((generous(X)|~wise(X))))<=>((calm(fred)|kind(fred))))&
(![X]:((creative(X)&happy(X))<=>(~generous(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))=>(calm(X)&kind(X))))&
(![X]:(happy(X)<=>(humble(X)|calm(X))))&
(![X]:((curious(X... | tall(mary) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4041418245963660712101832
% SZS output start Proof for 4041418245963660712101832
1. ! [X0] : ((generous(X0) | quiet(X0)) <=> ~tall(X0)) [input p0]
4. ! [X0] : ((happy(X0) & creative(X0)) <=> (~generous(X0) <~> calm(X0))) [input p3]
5. ! [X0] : ((~old(X0) <~> ~funny(X0)) => (kind(X0) & cal... | 0 |
If someone is funny then someone is both kind and humble. If someone is both funny and not happy then someone is either not funny or not calm and vice versa. Everyone who is funny is either not humble or not calm and vice versa. Everyone who is both not quiet and calm is both kind and calm. Everyone who is not old is n... | Lucy is not rich. | neutral | ((?[X]:(funny(X)))=>(?[X]:((kind(X)&humble(X)))))&
((?[X]:((funny(X)&~happy(X))))<=>(?[X]:((~funny(X)<~>~calm(X)))))&
(![X]:(funny(X)<=>(~humble(X)<~>~calm(X))))&
(![X]:((~quiet(X)&calm(X))=>(kind(X)&calm(X))))&
(![X]:(~old(X)=>(~happy(X)|patient(X))))&
((kind(susan))<=>(?[X]:((creative(X)<~>tall(X)))))&
(((~patient(su... | ~rich(lucy) | [] | null | 0 |
Everyone who is either not quiet or not happy is both strong and not quiet.
If susan is both not calm and not brave then susan is either wise or old.
Everyone who is brave or not curious is both brave and not curious and vice versa.
Everyone who is both not old and tall is either not rich or not funny and vice versa.
I... | Paul is strong. | entailment | (![X]:((~quiet(X)<~>~happy(X))=>(strong(X)&~quiet(X))))&
(((~calm(susan)&~brave(susan)))=>((wise(susan)<~>old(susan))))&
(![X]:((brave(X)|~curious(X))<=>(brave(X)&~curious(X))))&
(![X]:((~old(X)&tall(X))<=>(~rich(X)<~>~funny(X))))&
(((generous(fred)<~>~generous(fred)))=>(?[X]:((tall(X)|~brave(X)))))&
(![X]:((~strong(X)... | strong(paul) | [
"p8",
"p9",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6625283961202235752120440
% SZS output start Proof for 6625283961202235752120440
9. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p8]
10. ! [X0] : ((~strong(X0) | happy(X0)) => (funny(X0) & quiet(X0))) [input p9]
15. ! [X0] : ((~tall(X0) & ~strong(X0)) <=> ... | 0 |
Everyone who is either not patient or tall is not humble or rich.
Everyone who is both happy and not patient is either not creative or not generous and vice versa.
If someone is patient then someone is either generous or not rich and vice versa.
If someone is not brave then paul is both funny and generous and vice vers... | Paul is not kind. | contradiction | (![X]:((~patient(X)<~>tall(X))=>(~humble(X)|rich(X))))&
(![X]:((happy(X)&~patient(X))<=>(~creative(X)<~>~generous(X))))&
((?[X]:(patient(X)))<=>(?[X]:((generous(X)<~>~rich(X)))))&
((?[X]:(~brave(X)))<=>((funny(paul)&generous(paul))))&
((?[X]:((tall(X)<~>rich(X))))<=>(?[X]:(patient(X))))&
(![X]:((~brave(X)|~quiet(X))<=>... | ~kind(paul) | [
"p5",
"p7",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3970111409464386785645945
% SZS output start Proof for 3970111409464386785645945
6. ! [X0] : ((~quiet(X0) | ~brave(X0)) <=> (calm(X0) & tall(X0))) [input p5]
8. ! [X0] : (~kind(X0) => ~patient(X0)) [input p7]
12. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> (~humble(X0) & ~brave(X0))) [in... | 0 |
If someone is not funny then lucy is either not calm or generous and vice versa.
Everyone who is not brave or humble is old or wise and vice versa.
If someone is either not happy or tall then someone is both not curious and patient.
If someone is not patient then alice is rich and vice versa.
Everyone who is not patien... | Lucy is happy. | neutral | ((?[X]:(~funny(X)))<=>((~calm(lucy)<~>generous(lucy))))&
(![X]:((~brave(X)|humble(X))<=>(old(X)|wise(X))))&
((?[X]:((~happy(X)<~>tall(X))))=>(?[X]:((~curious(X)&patient(X)))))&
((?[X]:(~patient(X)))<=>(rich(alice)))&
(![X]:((~patient(X)|~calm(X))<=>(~curious(X)&wise(X))))&
((?[X]:((~old(X)&quiet(X))))<=>((patient(mary)... | happy(lucy) | [] | null | 0 |
Everyone who is both creative and generous is both funny and creative and vice versa.
Everyone who is either not curious or old is not old.
Everyone who is brave is both calm and generous.
Everyone who is both kind and not creative is both not quiet and not rich and vice versa.
Everyone who is not strong is both genero... | John is strong. | neutral | (![X]:((creative(X)&generous(X))<=>(funny(X)&creative(X))))&
(![X]:((~curious(X)<~>old(X))=>~old(X)))&
(![X]:(brave(X)=>(calm(X)&generous(X))))&
(![X]:((kind(X)&~creative(X))<=>(~quiet(X)&~rich(X))))&
(![X]:(~strong(X)=>(generous(X)&~strong(X))))&
((?[X]:((old(X)|~kind(X))))<=>((~calm(lucy)|~wise(lucy))))&
(((strong(pa... | strong(john) | [] | null | 0 |
Everyone who is patient is either calm or not strong.
Everyone who is not calm is either not strong or not brave.
Everyone who is both happy and funny is generous or creative and vice versa.
Everyone who is both happy and not strong is old or not calm and vice versa.
Everyone who is generous is not rich or not happy an... | Paul is calm. | contradiction | (![X]:(patient(X)=>(calm(X)<~>~strong(X))))&
(![X]:(~calm(X)=>(~strong(X)<~>~brave(X))))&
(![X]:((happy(X)&funny(X))<=>(generous(X)|creative(X))))&
(![X]:((happy(X)&~strong(X))<=>(old(X)|~calm(X))))&
(![X]:(generous(X)<=>(~rich(X)|~happy(X))))&
(![X]:((curious(X)&old(X))=>(humble(X)&wise(X))))&
(![X]:((~quiet(X)|strong... | calm(paul) | [
"p2",
"p3",
"p4",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 428585062265156256694121
% SZS output start Proof for 428585062265156256694121
3. ! [X0] : ((funny(X0) & happy(X0)) <=> (creative(X0) | generous(X0))) [input p2]
4. ! [X0] : ((~strong(X0) & happy(X0)) <=> (~calm(X0) | old(X0))) [input p3]
5. ! [X0] : (generous(X0) <=> (~happy(X0) | ~rich(... | 0 |
If fred is either rich or curious then alice is creative and vice versa.
Everyone who is either tall or not curious is either rich or quiet and vice versa.
If susan is brave or not curious then mary is either not kind or happy.
If someone is not creative then john is not curious or not generous.
Everyone who is not cre... | Paul is happy. | neutral | (((rich(fred)<~>curious(fred)))<=>(creative(alice)))&
(![X]:((tall(X)<~>~curious(X))<=>(rich(X)<~>quiet(X))))&
(((brave(susan)|~curious(susan)))=>((~kind(mary)<~>happy(mary))))&
((?[X]:(~creative(X)))=>((~curious(john)|~generous(john))))&
(![X]:(~creative(X)<=>(patient(X)&~humble(X))))&
(![X]:((~humble(X)&~calm(X))=>(~... | happy(paul) | [] | null | 0 |
Everyone who is either not quiet or not generous is both generous and curious.
If someone is tall then someone is both humble and wise and vice versa.
Everyone who is not creative or brave is both not curious and not strong and vice versa.
If lucy is either happy or brave then mary is generous or not rich.
If someone i... | Mary is creative. | contradiction | (![X]:((~quiet(X)<~>~generous(X))=>(generous(X)&curious(X))))&
((?[X]:(tall(X)))<=>(?[X]:((humble(X)&wise(X)))))&
(![X]:((~creative(X)|brave(X))<=>(~curious(X)&~strong(X))))&
(((happy(lucy)<~>brave(lucy)))=>((generous(mary)|~rich(mary))))&
((?[X]:((~humble(X)|~quiet(X))))=>((~patient(mary)<~>strong(mary))))&
(![X]:((cu... | creative(mary) | [
"p0",
"p2",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3950436258421531222146572
% SZS output start Proof for 3950436258421531222146572
1. ! [X0] : ((~quiet(X0) <~> ~generous(X0)) => (curious(X0) & generous(X0))) [input p0]
3. ! [X0] : ((brave(X0) | ~creative(X0)) <=> (~strong(X0) & ~curious(X0))) [input p2]
6. ! [X0] : ((funny(X0) | curious(... | 0 |
If mary is either humble or not creative then someone is not creative or kind and vice versa.
Everyone who is tall is both not strong and not calm.
Everyone who is either not funny or funny is not wise or not quiet and vice versa.
If someone is not happy then someone is both not old and quiet and vice versa.
Everyone w... | Fred is creative. | entailment | (((humble(mary)<~>~creative(mary)))<=>(?[X]:((~creative(X)|kind(X)))))&
(![X]:(tall(X)=>(~strong(X)&~calm(X))))&
(![X]:((~funny(X)<~>funny(X))<=>(~wise(X)|~quiet(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~old(X)&quiet(X)))))&
(![X]:((~old(X)|~kind(X))<=>(brave(X)&~old(X))))&
((generous(fred))=>(~tall(mary)))&
((?[X]:((funny... | creative(fred) | [
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4767568868429818685529268
% SZS output start Proof for 4767568868429818685529268
5. ! [X0] : ((~kind(X0) | ~old(X0)) <=> (~old(X0) & brave(X0))) [input p4]
9. ! [X0] : (~brave(X0) <=> ~kind(X0)) [input p8]
11. ! [X0] : (~brave(X0) <=> (calm(X0) | ~creative(X0))) [input p10]
25. ~creative(... | 0 |
If mary is curious then paul is not happy.
Everyone who is generous or old is both not calm and generous and vice versa.
If someone is either not wise or happy then alice is not patient and vice versa.
Everyone who is either generous or old is rich and vice versa.
If lucy is both rich and not old then someone is not br... | Mary is brave. | contradiction | ((curious(mary))=>(~happy(paul)))&
(![X]:((generous(X)|old(X))<=>(~calm(X)&generous(X))))&
((?[X]:((~wise(X)<~>happy(X))))<=>(~patient(alice)))&
(![X]:((generous(X)<~>old(X))<=>rich(X)))&
(((rich(lucy)&~old(lucy)))=>(?[X]:(~brave(X))))&
(![X]:((~brave(X)<~>~quiet(X))<=>old(X)))&
(![X]:((~brave(X)&wise(X))<=>(~funny(X)|... | brave(mary) | [
"p6",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2261172529790033510185674
% SZS output start Proof for 2261172529790033510185674
7. ! [X0] : ((wise(X0) & ~brave(X0)) <=> (happy(X0) | ~funny(X0))) [input p6]
13. ! [X0] : ((wise(X0) | funny(X0)) => (wise(X0) & ~patient(X0))) [input p12]
19. ~brave(mary) | patient(mary) [input p18]
24. br... | 0 |
Everyone who is not tall is old or not calm.
If susan is kind or not patient then someone is quiet or not kind and vice versa.
Everyone who is not calm is both calm and not wise and vice versa.
If susan is both not funny and not kind then mary is either not generous or old and vice versa.
If someone is both brave and o... | Paul is rich. | contradiction | (![X]:(~tall(X)=>(old(X)|~calm(X))))&
(((kind(susan)|~patient(susan)))<=>(?[X]:((quiet(X)|~kind(X)))))&
(![X]:(~calm(X)<=>(calm(X)&~wise(X))))&
(((~funny(susan)&~kind(susan)))<=>((~generous(mary)<~>old(mary))))&
((?[X]:((brave(X)&old(X))))<=>(?[X]:((creative(X)&~old(X)))))&
(((tall(susan)|~wise(susan)))=>(?[X]:((~calm(... | rich(paul) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 207898009707207038783309
% SZS output start Proof for 207898009707207038783309
9. ! [X0] : (~rich(X0) <=> ~happy(X0)) [input p8]
11. ! [X0] : (~strong(X0) <=> (~happy(X0) | strong(X0))) [input p10]
22. rich(paul) [input hypothesis]
57. ! [X0] : ((~rich(X0) | happy(X0)) & (~happy(X0) | ric... | 0 |
If alice is both not generous and not calm then paul is both not creative and strong and vice versa.
If susan is either wise or strong then john is not creative or not old.
Everyone who is not happy is quiet and vice versa.
If someone is not happy then lucy is both creative and old and vice versa.
Everyone who is both ... | Mary is not happy. | contradiction | (((~generous(alice)&~calm(alice)))<=>((~creative(paul)&strong(paul))))&
(((wise(susan)<~>strong(susan)))=>((~creative(john)|~old(john))))&
(![X]:(~happy(X)<=>quiet(X)))&
((?[X]:(~happy(X)))<=>((creative(lucy)&old(lucy))))&
(![X]:((~tall(X)&~creative(X))<=>(quiet(X)&~strong(X))))&
(((~quiet(lucy)|rich(lucy)))<=>((patien... | ~happy(mary) | [
"p2",
"p4",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7682831780492843385332179
% SZS output start Proof for 7682831780492843385332179
3. ! [X0] : (~happy(X0) <=> quiet(X0)) [input p2]
5. ! [X0] : ((~creative(X0) & ~tall(X0)) <=> (~strong(X0) & quiet(X0))) [input p4]
8. ! [X0] : ((strong(X0) | ~strong(X0)) => curious(X0)) [input p7]
10. ! [X... | 0 |
Everyone who is not brave is either not quiet or quiet.
Everyone who is either patient or not funny is funny and vice versa.
If someone is either rich or not quiet then paul is not humble.
If someone is either strong or curious then someone is not funny or not wise.
Everyone who is either funny or wise is patient.
Ever... | John is patient. | entailment | (![X]:(~brave(X)=>(~quiet(X)<~>quiet(X))))&
(![X]:((patient(X)<~>~funny(X))<=>funny(X)))&
((?[X]:((rich(X)<~>~quiet(X))))=>(~humble(paul)))&
((?[X]:((strong(X)<~>curious(X))))=>(?[X]:((~funny(X)|~wise(X)))))&
(![X]:((funny(X)<~>wise(X))=>patient(X)))&
(![X]:((humble(X)<~>~generous(X))<=>~creative(X)))&
(![X]:((humble(X... | patient(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4312644373238787230164623
% SZS output start Proof for 4312644373238787230164623
2. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> funny(X0)) [input p1]
24. ~patient(john) [input hypothesis]
37. ! [X0] : ((((funny(X0) | ~patient(X0)) & (~funny(X0) | patient(X0))) | ~funny(X0)) & (funny(X0) | ... | 0 |
If someone is both happy and not patient then john is either not strong or calm.
If someone is funny then fred is either wise or not strong.
Everyone who is brave is either old or not funny and vice versa.
Everyone who is not humble or generous is both quiet and not curious.
If mary is strong then fred is patient or br... | Susan is generous. | contradiction | ((?[X]:((happy(X)&~patient(X))))=>((~strong(john)<~>calm(john))))&
((?[X]:(funny(X)))=>((wise(fred)<~>~strong(fred))))&
(![X]:(brave(X)<=>(old(X)<~>~funny(X))))&
(![X]:((~humble(X)|generous(X))=>(quiet(X)&~curious(X))))&
((strong(mary))=>((patient(fred)|brave(fred))))&
((?[X]:((~wise(X)|rich(X))))<=>(?[X]:((strong(X)&g... | generous(susan) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3007232231803868811540857
% SZS output start Proof for 3007232231803868811540857
4. ! [X0] : ((generous(X0) | ~humble(X0)) => (~curious(X0) & quiet(X0))) [input p3]
17. ~quiet(susan) & ~old(susan) [input p16]
23. generous(susan) [input hypothesis]
28. ! [X0] : (generous(X0) => (~curious(X... | 0 |
Everyone who is not wise is both tall and happy and vice versa.
Everyone who is either not happy or patient is not brave and vice versa.
Everyone who is not quiet is both patient and generous and vice versa.
Everyone who is kind or funny is generous and vice versa.
If someone is not brave or humble then someone is both... | Susan is happy. | neutral | (![X]:(~wise(X)<=>(tall(X)&happy(X))))&
(![X]:((~happy(X)<~>patient(X))<=>~brave(X)))&
(![X]:(~quiet(X)<=>(patient(X)&generous(X))))&
(![X]:((kind(X)|funny(X))<=>generous(X)))&
((?[X]:((~brave(X)|humble(X))))<=>(?[X]:((~kind(X)&wise(X)))))&
(![X]:((~curious(X)&~humble(X))=>(brave(X)<~>~creative(X))))&
(![X]:(~wise(X)<=... | happy(susan) | [] | null | 0 |
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