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 humble and strong is not curious or curious and vice versa.
Everyone who is kind or humble is both not patient and calm.
If someone is not wise or not generous then alice is not happy and vice versa.
If fred is either not rich or brave then lucy is both not brave and not patient and vice versa.
Eve... | John is not patient. | entailment | (![X]:((humble(X)&strong(X))<=>(~curious(X)|curious(X))))&
(![X]:((kind(X)|humble(X))=>(~patient(X)&calm(X))))&
((?[X]:((~wise(X)|~generous(X))))<=>(~happy(alice)))&
(((~rich(fred)<~>brave(fred)))<=>((~brave(lucy)&~patient(lucy))))&
(![X]:((~patient(X)&quiet(X))<=>(~brave(X)|patient(X))))&
((?[X]:((old(X)<~>wise(X))))=... | ~patient(john) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8855377689109913094561616
% SZS output start Proof for 8855377689109913094561616
1. ! [X0] : ((strong(X0) & humble(X0)) <=> (curious(X0) | ~curious(X0))) [input p0]
2. ! [X0] : ((humble(X0) | kind(X0)) => (calm(X0) & ~patient(X0))) [input p1]
24. patient(john) [input hypothesis]
29. ! [X0... | 0 |
If someone is old then john is not brave or creative.
Everyone who is old is both calm and not creative.
Everyone who is curious or not old is either not creative or not wise.
Everyone who is both not strong and wise is not curious or creative.
Everyone who is old or not brave is both not curious and tall.
Everyone who... | Paul is rich. | entailment | ((?[X]:(old(X)))=>((~brave(john)|creative(john))))&
(![X]:(old(X)=>(calm(X)&~creative(X))))&
(![X]:((curious(X)|~old(X))=>(~creative(X)<~>~wise(X))))&
(![X]:((~strong(X)&wise(X))=>(~curious(X)|creative(X))))&
(![X]:((old(X)|~brave(X))=>(~curious(X)&tall(X))))&
(![X]:((~happy(X)|~strong(X))=>generous(X)))&
(![X]:(humble... | rich(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4745776213217382197829996
% SZS output start Proof for 4745776213217382197829996
15. ! [X0] : ((old(X0) & rich(X0)) <=> (~humble(X0) <~> humble(X0))) [input p14]
23. ~rich(paul) [input hypothesis]
59. ! [X0] : (((old(X0) & rich(X0)) | ((~humble(X0) | ~humble(X0)) & (humble(X0) | humble(X0... | 0 |
Everyone who is both quiet and not rich is both old and humble.
Everyone who is both not kind and patient is both generous and calm and vice versa.
Everyone who is brave is both not wise and creative and vice versa.
Everyone who is strong is generous or creative.
Everyone who is not strong is strong or not rich and vic... | Paul is rich. | contradiction | (![X]:((quiet(X)&~rich(X))=>(old(X)&humble(X))))&
(![X]:((~kind(X)&patient(X))<=>(generous(X)&calm(X))))&
(![X]:(brave(X)<=>(~wise(X)&creative(X))))&
(![X]:(strong(X)=>(generous(X)|creative(X))))&
(![X]:(~strong(X)<=>(strong(X)|~rich(X))))&
((?[X]:((brave(X)|~kind(X))))<=>((humble(lucy)|rich(lucy))))&
(![X]:((curious(X... | rich(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7281670392276047481516062
% SZS output start Proof for 7281670392276047481516062
5. ! [X0] : (~strong(X0) <=> (~rich(X0) | strong(X0))) [input p4]
21. rich(paul) [input hypothesis]
40. ! [X0] : ((~strong(X0) | (rich(X0) & ~strong(X0))) & ((~rich(X0) | strong(X0)) | strong(X0))) [nnf trans... | 0 |
Everyone who is either generous or curious is generous or not creative and vice versa.
Everyone who is both not creative and not brave is not creative or curious and vice versa.
Everyone who is curious is not old and vice versa.
If alice is either not tall or kind then someone is not kind and vice versa.
Everyone who i... | Mary is old. | contradiction | (![X]:((generous(X)<~>curious(X))<=>(generous(X)|~creative(X))))&
(![X]:((~creative(X)&~brave(X))<=>(~creative(X)|curious(X))))&
(![X]:(curious(X)<=>~old(X)))&
(((~tall(alice)<~>kind(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((generous(X)&quiet(X))<=>(curious(X)<~>~quiet(X))))&
(![X]:((~kind(X)<~>tall(X))=>(~funny(X)|~curio... | old(mary) | [
"p0",
"p2",
"p4",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 62478746540359507012879
% SZS output start Proof for 62478746540359507012879
1. ! [X0] : ((generous(X0) <~> curious(X0)) <=> (~creative(X0) | generous(X0))) [input p0]
3. ! [X0] : (curious(X0) <=> ~old(X0)) [input p2]
5. ! [X0] : ((quiet(X0) & generous(X0)) <=> (curious(X0) <~> ~quiet(X0)... | 0 |
Everyone who is brave is not humble and vice versa.
If someone is both patient and creative then someone is kind or not rich and vice versa.
If lucy is creative then mary is generous and vice versa.
If someone is kind or not wise then paul is not strong or generous.
Everyone who is not strong is brave and vice versa.
I... | Fred is not calm. | contradiction | (![X]:(brave(X)<=>~humble(X)))&
((?[X]:((patient(X)&creative(X))))<=>(?[X]:((kind(X)|~rich(X)))))&
((creative(lucy))<=>(generous(mary)))&
((?[X]:((kind(X)|~wise(X))))=>((~strong(paul)|generous(paul))))&
(![X]:(~strong(X)<=>brave(X)))&
((?[X]:(~creative(X)))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)&~old(X))<=>strong(X)))... | ~calm(fred) | [
"p10",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8775273857664178558749551
% SZS output start Proof for 8775273857664178558749551
11. ! [X0] : ((happy(X0) & tall(X0)) <=> (tall(X0) <~> ~calm(X0))) [input p10]
16. ! [X0] : (kind(X0) <=> ~happy(X0)) [input p15]
23. ~kind(fred) & ~wise(fred) [input p22]
25. ~calm(fred) [input hypothesis]
5... | 0 |
If someone is patient then john is both rich and not tall and vice versa.
Everyone who is both rich and humble is kind and vice versa.
Everyone who is both not wise and not tall is curious or tall and vice versa.
Everyone who is either not happy or happy is both brave and strong and vice versa.
If susan is generous or ... | Susan is not tall. | entailment | ((?[X]:(patient(X)))<=>((rich(john)&~tall(john))))&
(![X]:((rich(X)&humble(X))<=>kind(X)))&
(![X]:((~wise(X)&~tall(X))<=>(curious(X)|tall(X))))&
(![X]:((~happy(X)<~>happy(X))<=>(brave(X)&strong(X))))&
(((generous(susan)|wise(susan)))<=>((~humble(susan)&strong(susan))))&
((?[X]:((~brave(X)&~curious(X))))<=>(?[X]:((~calm... | ~tall(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6758172584848886572798890
% SZS output start Proof for 6758172584848886572798890
3. ! [X0] : ((~tall(X0) & ~wise(X0)) <=> (tall(X0) | curious(X0))) [input p2]
22. tall(susan) [input hypothesis]
37. ! [X0] : (((~tall(X0) & ~wise(X0)) | (~tall(X0) & ~curious(X0))) & ((tall(X0) | curious(X0)... | 0 |
Everyone who is either not brave or rich is kind or not curious and vice versa.
Everyone who is either calm or wise is either not happy or funny and vice versa.
If someone is not humble then lucy is calm or wise.
Everyone who is both not funny and funny is not patient.
If someone is curious or quiet then paul is not ol... | Paul is not curious. | entailment | (![X]:((~brave(X)<~>rich(X))<=>(kind(X)|~curious(X))))&
(![X]:((calm(X)<~>wise(X))<=>(~happy(X)<~>funny(X))))&
((?[X]:(~humble(X)))=>((calm(lucy)|wise(lucy))))&
(![X]:((~funny(X)&funny(X))=>~patient(X)))&
((?[X]:((curious(X)|quiet(X))))=>(~old(paul)))&
((~quiet(john))=>((strong(lucy)&~patient(lucy))))&
(![X]:((old(X)<~... | ~curious(paul) | [
"p4",
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8708634088105870109331151
% SZS output start Proof for 8708634088105870109331151
5. ? [X0] : (quiet(X0) | curious(X0)) => ~old(paul) [input p4]
10. ! [X0] : ((patient(X0) | ~old(X0)) <=> strong(X0)) [input p9]
13. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> funny(X0)) [input p12]
17. happy... | 0 |
If alice is either not old or curious then someone is either not curious or humble and vice versa. If lucy is curious or funny then lucy is either not tall or not strong. If mary is not calm or quiet then someone is not humble and vice versa. Everyone who is not quiet is not rich. Everyone who is either quiet or not ca... | Alice is calm. | contradiction | (((~old(alice)<~>curious(alice)))<=>(?[X]:((~curious(X)<~>humble(X)))))&
(((curious(lucy)|funny(lucy)))=>((~tall(lucy)<~>~strong(lucy))))&
(((~calm(mary)|quiet(mary)))<=>(?[X]:(~humble(X))))&
(![X]:(~quiet(X)=>~rich(X)))&
(![X]:((quiet(X)<~>~calm(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((wise(X)|calm(X))<=>~funny(X)))&
(... | calm(alice) | [
"p3",
"p4",
"p7",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8260637264719005779812833
% SZS output start Proof for 8260637264719005779812833
4. ! [X0] : (~quiet(X0) => ~rich(X0)) [input p3]
5. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (~quiet(X0) & ~strong(X0))) [input p4]
8. ? [X0] : (~patient(X0) | ~brave(X0)) => (humble(alice) | rich(alice)) [inp... | 0 |
Everyone who is generous or rich is both not wise and not calm. If someone is not happy or not generous then someone is either rich or tall and vice versa. Everyone who is both patient and tall is not old. If someone is either creative or not wise then someone is rich or old and vice versa. Everyone who is either funny... | Fred is funny. | entailment | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>(?[X]:((rich(X)<~>tall(X)))))&
(![X]:((patient(X)&tall(X))=>~old(X)))&
((?[X]:((creative(X)<~>~wise(X))))<=>(?[X]:((rich(X)|old(X)))))&
(![X]:((funny(X)<~>~generous(X))<=>(quiet(X)<~>~creative(X))))&
(((~happy(lucy)|humble(lucy)))... | funny(fred) | [
"p0",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8766945043743637431459649
% SZS output start Proof for 8766945043743637431459649
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
12. ! [X0] : (funny(X0) <=> ~wise(X0)) [input p11]
14. ? [X0] : (~funny(X0) | ~brave(X0)) <=> ~tall(fred) [input p13]
21. ~rich(fr... | 0 |
Everyone who is both not patient and not wise is not tall or not strong and vice versa.
If paul is not wise or tall then fred is not strong.
Everyone who is rich or not strong is not brave or not kind and vice versa.
Everyone who is not kind or patient is both not brave and not tall.
Everyone who is creative is rich an... | Fred is not tall. | entailment | (![X]:((~patient(X)&~wise(X))<=>(~tall(X)|~strong(X))))&
(((~wise(paul)|tall(paul)))=>(~strong(fred)))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(alice))<=>((patient(mary)&~happy(mary))))&
(![X]:(~kind(X)=>(funny(X)... | ~tall(fred) | [
"p0",
"p1",
"p3",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3402613276930310378757809
% SZS output start Proof for 3402613276930310378757809
1. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> (~strong(X0) | ~tall(X0))) [input p0]
2. (tall(paul) | ~wise(paul)) => ~strong(fred) [input p1]
4. ! [X0] : ((patient(X0) | ~kind(X0)) => (~tall(X0) & ~brave(X0))) ... | 0 |
Everyone who is both old and not strong is either not brave or old. If john is both tall and rich then someone is not rich and vice versa. Everyone who is either not brave or brave is rich or humble and vice versa. Everyone who is either not funny or not humble is not old or wise. If someone is both generous and not ta... | Susan is not wise. | entailment | (![X]:((old(X)&~strong(X))=>(~brave(X)<~>old(X))))&
(((tall(john)&rich(john)))<=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)<~>brave(X))<=>(rich(X)|humble(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(~old(X)|wise(X))))&
((?[X]:((generous(X)&~tall(X))))=>((~generous(lucy)|patient(lucy))))&
(![X]:((~happy(X)|strong(X))=>~creative(... | ~wise(susan) | [
"p0",
"p5",
"p6",
"p8",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5239919411447400872191093
% SZS output start Proof for 5239919411447400872191093
1. ! [X0] : ((~strong(X0) & old(X0)) => (~brave(X0) <~> old(X0))) [input p0]
6. ! [X0] : ((strong(X0) | ~happy(X0)) => ~creative(X0)) [input p5]
7. ! [X0] : (~old(X0) => (wise(X0) & strong(X0))) [input p6]
9.... | 0 |
Everyone who is either not calm or quiet is not brave or not wise. Everyone who is both tall and not funny is not happy or not quiet. Everyone who is not brave or not strong is either not brave or kind and vice versa. If someone is strong then someone is humble and vice versa. If someone is not old then someone is both... | Lucy is quiet. | neutral | (![X]:((~calm(X)<~>quiet(X))=>(~brave(X)|~wise(X))))&
(![X]:((tall(X)&~funny(X))=>(~happy(X)|~quiet(X))))&
(![X]:((~brave(X)|~strong(X))<=>(~brave(X)<~>kind(X))))&
((?[X]:(strong(X)))<=>(?[X]:(humble(X))))&
((?[X]:(~old(X)))=>(?[X]:((quiet(X)&~strong(X)))))&
(![X]:((~curious(X)|~calm(X))=>(~funny(X)&~calm(X))))&
(((~fu... | quiet(lucy) | [] | null | 0 |
If john is either not kind or kind then john is happy.
Everyone who is old or not calm is calm.
Everyone who is not rich is not quiet.
If susan is both not quiet and strong then someone is not humble and vice versa.
Everyone who is either quiet or not rich is quiet.
Everyone who is both not humble and quiet is both not... | Susan is rich. | entailment | (((~kind(john)<~>kind(john)))=>(happy(john)))&
(![X]:((old(X)|~calm(X))=>calm(X)))&
(![X]:(~rich(X)=>~quiet(X)))&
(((~quiet(susan)&strong(susan)))<=>(?[X]:(~humble(X))))&
(![X]:((quiet(X)<~>~rich(X))=>quiet(X)))&
(![X]:((~humble(X)&quiet(X))<=>(~tall(X)&~calm(X))))&
(![X]:((~quiet(X)|rich(X))<=>(~calm(X)<~>~humble(X)))... | rich(susan) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8425206545829691150485062
% SZS output start Proof for 8425206545829691150485062
3. ! [X0] : (~rich(X0) => ~quiet(X0)) [input p2]
5. ! [X0] : ((quiet(X0) <~> ~rich(X0)) => quiet(X0)) [input p4]
23. ~rich(susan) [input hypothesis]
27. ! [X0] : (~quiet(X0) | rich(X0)) [ennf transformation 3... | 0 |
Everyone who is either not humble or old is either creative or curious and vice versa. If john is not patient or not wise then alice is not tall. Everyone who is either happy or rich is both not curious and generous. Everyone who is either kind or not kind is not tall and vice versa. Everyone who is not calm is either ... | Mary is brave. | entailment | (![X]:((~humble(X)<~>old(X))<=>(creative(X)<~>curious(X))))&
(((~patient(john)|~wise(john)))=>(~tall(alice)))&
(![X]:((happy(X)<~>rich(X))=>(~curious(X)&generous(X))))&
(![X]:((kind(X)<~>~kind(X))<=>~tall(X)))&
(![X]:(~calm(X)=>(calm(X)<~>~rich(X))))&
(![X]:((curious(X)<~>strong(X))=>(~brave(X)<~>~rich(X))))&
(![X]:(ta... | brave(mary) | [
"p3",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7020387269647341750282304
% SZS output start Proof for 7020387269647341750282304
4. ! [X0] : ((kind(X0) <~> ~kind(X0)) <=> ~tall(X0)) [input p3]
8. ! [X0] : ((~brave(X0) <~> wise(X0)) <=> (~brave(X0) | ~old(X0))) [input p7]
16. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~calm(X0) | ~wise(X0)))... | 0 |
If someone is both happy and not calm then someone is either strong or not generous and vice versa.
If someone is either not funny or not humble then someone is both old and patient and vice versa.
Everyone who is both not wise and tall is patient.
Everyone who is not calm or not tall is both calm and creative.
Everyon... | Mary is patient. | neutral | ((?[X]:((happy(X)&~calm(X))))<=>(?[X]:((strong(X)<~>~generous(X)))))&
((?[X]:((~funny(X)<~>~humble(X))))<=>(?[X]:((old(X)&patient(X)))))&
(![X]:((~wise(X)&tall(X))=>patient(X)))&
(![X]:((~calm(X)|~tall(X))=>(calm(X)&creative(X))))&
(![X]:((rich(X)&~funny(X))<=>(wise(X)&~calm(X))))&
((?[X]:((happy(X)<~>calm(X))))<=>(?[X... | patient(mary) | [] | null | 0 |
Everyone who is both not creative and not tall is both brave and wise and vice versa.
Everyone who is not rich or strong is both not generous and not brave.
If someone is strong then someone is both not strong and not tall and vice versa.
Everyone who is both not tall and not generous is kind or strong and vice versa.
... | Alice is not wise. | entailment | (![X]:((~creative(X)&~tall(X))<=>(brave(X)&wise(X))))&
(![X]:((~rich(X)|strong(X))=>(~generous(X)&~brave(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~strong(X)&~tall(X)))))&
(![X]:((~tall(X)&~generous(X))<=>(kind(X)|strong(X))))&
(![X]:((creative(X)&wise(X))=>(~tall(X)&tall(X))))&
((?[X]:((~brave(X)|kind(X))))=>(?[X]:((~rich(... | ~wise(alice) | [
"p0",
"p1",
"p5",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6264106181472718345952267
% SZS output start Proof for 6264106181472718345952267
1. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> (wise(X0) & brave(X0))) [input p0]
2. ! [X0] : ((strong(X0) | ~rich(X0)) => (~brave(X0) & ~generous(X0))) [input p1]
6. ? [X0] : (kind(X0) | ~brave(X0)) => ? [X0] ... | 0 |
If mary is creative or kind then paul is rich.
Everyone who is both happy and old is either old or quiet and vice versa.
If fred is both strong and not rich then lucy is both not humble and tall and vice versa.
Everyone who is not humble or strong is both not happy and not curious and vice versa.
If paul is not old or ... | Fred is strong. | neutral | (((creative(mary)|kind(mary)))=>(rich(paul)))&
(![X]:((happy(X)&old(X))<=>(old(X)<~>quiet(X))))&
(((strong(fred)&~rich(fred)))<=>((~humble(lucy)&tall(lucy))))&
(![X]:((~humble(X)|strong(X))<=>(~happy(X)&~curious(X))))&
(((~old(paul)|funny(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|curious(X))<=>patient(X)))&
((?[X... | strong(fred) | [] | null | 0 |
If someone is not happy then someone is not humble or brave and vice versa.
Everyone who is not kind or kind is not brave and vice versa.
If someone is not happy or funny then lucy is not happy.
If someone is not strong then someone is not brave.
Everyone who is humble or not rich is both not funny and brave and vice v... | Paul is wise. | entailment | ((?[X]:(~happy(X)))<=>(?[X]:((~humble(X)|brave(X)))))&
(![X]:((~kind(X)|kind(X))<=>~brave(X)))&
((?[X]:((~happy(X)|funny(X))))=>(~happy(lucy)))&
((?[X]:(~strong(X)))=>(?[X]:(~brave(X))))&
(![X]:((humble(X)|~rich(X))<=>(~funny(X)&brave(X))))&
(![X]:((~curious(X)|tall(X))=>~brave(X)))&
(((curious(mary)&~calm(mary)))<=>((... | wise(paul) | [
"p1",
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 584578493949709996805192
% SZS output start Proof for 584578493949709996805192
2. ! [X0] : ((kind(X0) | ~kind(X0)) <=> ~brave(X0)) [input p1]
5. ! [X0] : ((~rich(X0) | humble(X0)) <=> (brave(X0) & ~funny(X0))) [input p4]
14. ! [X0] : ((~wise(X0) & kind(X0)) <=> (~old(X0) & brave(X0))) [in... | 0 |
If alice is kind then someone is not strong or wise.
If someone is not tall or quiet then fred is both rich and not brave and vice versa.
Everyone who is either tall or generous is wise and vice versa.
Everyone who is strong is generous and vice versa.
If someone is calm then alice is not creative or rich.
If lucy is n... | John is not kind. | contradiction | ((kind(alice))=>(?[X]:((~strong(X)|wise(X)))))&
((?[X]:((~tall(X)|quiet(X))))<=>((rich(fred)&~brave(fred))))&
(![X]:((tall(X)<~>generous(X))<=>wise(X)))&
(![X]:(strong(X)<=>generous(X)))&
((?[X]:(calm(X)))=>((~creative(alice)|rich(alice))))&
((~wise(lucy))<=>((quiet(paul)&curious(paul))))&
(![X]:(creative(X)=>(curious(... | ~kind(john) | [
"p3",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6405744174473714021416782
% SZS output start Proof for 6405744174473714021416782
4. ! [X0] : (strong(X0) <=> generous(X0)) [input p3]
20. ~strong(john) [input p19]
24. ~kind(john) <~> ~generous(john) [input p23]
25. ~kind(john) [input hypothesis]
47. ! [X0] : ((strong(X0) | ~generous(X0))... | 0 |
Everyone who is not calm or calm is either not quiet or not tall.
Everyone who is brave is both wise and calm and vice versa.
Everyone who is either not happy or not funny is either not curious or not wise.
Everyone who is not calm or not happy is not tall or tall.
If mary is either kind or not strong then mary is both... | Susan is funny. | entailment | (![X]:((~calm(X)|calm(X))=>(~quiet(X)<~>~tall(X))))&
(![X]:(brave(X)<=>(wise(X)&calm(X))))&
(![X]:((~happy(X)<~>~funny(X))=>(~curious(X)<~>~wise(X))))&
(![X]:((~calm(X)|~happy(X))=>(~tall(X)|tall(X))))&
(((kind(mary)<~>~strong(mary)))<=>((happy(mary)&~quiet(mary))))&
(![X]:((funny(X)|~old(X))=>(~strong(X)|humble(X))))&... | funny(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3181803461329869117198910
% SZS output start Proof for 3181803461329869117198910
14. ? [X0] : ~funny(X0) <=> (quiet(alice) & ~quiet(alice)) [input p13]
21. ~funny(susan) [input hypothesis]
53. (? [X0] : ~funny(X0) | (~quiet(alice) | quiet(alice))) & ((quiet(alice) & ~quiet(alice)) | ! [X0... | 0 |
If someone is either kind or funny then someone is both not curious and old. If john is not happy or wise then someone is both strong and not tall. If someone is either old or funny then someone is strong. If paul is either not patient or creative then paul is happy or kind and vice versa. If susan is tall or not calm ... | John is not generous. | contradiction | ((?[X]:((kind(X)<~>funny(X))))=>(?[X]:((~curious(X)&old(X)))))&
(((~happy(john)|wise(john)))=>(?[X]:((strong(X)&~tall(X)))))&
((?[X]:((old(X)<~>funny(X))))=>(?[X]:(strong(X))))&
(((~patient(paul)<~>creative(paul)))<=>((happy(paul)|kind(paul))))&
(((tall(susan)|~calm(susan)))=>(?[X]:(old(X))))&
(![X]:(~old(X)<=>(~wise(X... | ~generous(john) | [
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 728131178464790772417266
% SZS output start Proof for 728131178464790772417266
6. ! [X0] : (~old(X0) <=> (~generous(X0) | ~wise(X0))) [input p5]
8. ? [X0] : (quiet(X0) & ~quiet(X0)) <=> brave(john) [input p7]
15. ! [X0] : (~old(X0) <=> (~creative(X0) & brave(X0))) [input p14]
25. ~generou... | 0 |
If susan is brave then paul is generous or not rich and vice versa.
Everyone who is either tall or not kind is both patient and strong and vice versa.
Everyone who is generous is both not tall and old and vice versa.
If lucy is old or not strong then susan is both old and not curious.
If susan is not kind then someone ... | John is humble. | entailment | ((brave(susan))<=>((generous(paul)|~rich(paul))))&
(![X]:((tall(X)<~>~kind(X))<=>(patient(X)&strong(X))))&
(![X]:(generous(X)<=>(~tall(X)&old(X))))&
(((old(lucy)|~strong(lucy)))=>((old(susan)&~curious(susan))))&
((~kind(susan))<=>(?[X]:(creative(X))))&
((?[X]:((generous(X)|~old(X))))<=>(?[X]:(~kind(X))))&
(![X]:(~funny... | humble(john) | [
"p6",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 431137460144864403472067
% SZS output start Proof for 431137460144864403472067
7. ! [X0] : (~funny(X0) <=> kind(X0)) [input p6]
9. ! [X0] : ((~strong(X0) & kind(X0)) <=> ~old(X0)) [input p8]
12. (~quiet(john) | ~humble(john)) <=> (~creative(paul) & ~old(paul)) [input p11]
14. ! [X0] : ((~... | 0 |
Everyone who is funny is both not strong and not happy.
Everyone who is both wise and not kind is either old or not creative and vice versa.
If someone is not strong or not wise then john is kind or not calm and vice versa.
Everyone who is not tall or quiet is not quiet.
If someone is either not strong or kind then som... | John is kind. | entailment | (![X]:(funny(X)=>(~strong(X)&~happy(X))))&
(![X]:((wise(X)&~kind(X))<=>(old(X)<~>~creative(X))))&
((?[X]:((~strong(X)|~wise(X))))<=>((kind(john)|~calm(john))))&
(![X]:((~tall(X)|quiet(X))=>~quiet(X)))&
((?[X]:((~strong(X)<~>kind(X))))<=>(?[X]:((funny(X)&brave(X)))))&
(![X]:((~wise(X)<~>~strong(X))<=>(~happy(X)<~>quiet(... | kind(john) | [
"p0",
"p2",
"p3",
"p5",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7959504968933427595850826
% SZS output start Proof for 7959504968933427595850826
1. ! [X0] : (funny(X0) => (~happy(X0) & ~strong(X0))) [input p0]
3. ? [X0] : (~wise(X0) | ~strong(X0)) <=> (~calm(john) | kind(john)) [input p2]
4. ! [X0] : ((quiet(X0) | ~tall(X0)) => ~quiet(X0)) [input p3]
... | 0 |
Everyone who is both curious and not happy is either happy or not humble.
If someone is both old and curious then lucy is both brave and wise and vice versa.
Everyone who is tall is both wise and not rich.
Everyone who is not wise or old is either humble or not generous and vice versa.
Everyone who is both not old and ... | Mary is calm. | entailment | (![X]:((curious(X)&~happy(X))=>(happy(X)<~>~humble(X))))&
((?[X]:((old(X)&curious(X))))<=>((brave(lucy)&wise(lucy))))&
(![X]:(tall(X)=>(wise(X)&~rich(X))))&
(![X]:((~wise(X)|old(X))<=>(humble(X)<~>~generous(X))))&
(![X]:((~old(X)&~funny(X))<=>(calm(X)<~>creative(X))))&
((~old(paul))=>((generous(john)<~>~old(john))))&
(... | calm(mary) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 358784228675123880478173
% SZS output start Proof for 358784228675123880478173
9. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (creative(X0) | ~creative(X0))) [input p8]
14. ! [X0] : (~happy(X0) => calm(X0)) [input p13]
23. ~calm(mary) [input hypothesis]
35. ! [X0] : (calm(X0) | happy(X0)) [en... | 0 |
Everyone who is curious or kind is not humble. Everyone who is either not strong or rich is not tall or not curious and vice versa. If someone is either brave or not tall then someone is not kind or patient and vice versa. If someone is tall or not curious then someone is not rich and vice versa. If someone is both not... | Lucy is not funny. | neutral | (![X]:((curious(X)|kind(X))=>~humble(X)))&
(![X]:((~strong(X)<~>rich(X))<=>(~tall(X)|~curious(X))))&
((?[X]:((brave(X)<~>~tall(X))))<=>(?[X]:((~kind(X)|patient(X)))))&
((?[X]:((tall(X)|~curious(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((~curious(X)&brave(X))))<=>(~funny(john)))&
(![X]:(~old(X)=>(~quiet(X)|~generous(X))))&
((... | ~funny(lucy) | [] | null | 0 |
Everyone who is brave is both not quiet and not rich. Everyone who is both rich and brave is both funny and old and vice versa. If paul is not calm or not happy then someone is either strong or happy and vice versa. If mary is not quiet or curious then paul is not humble and vice versa. If someone is brave or old then ... | Fred is not brave. | neutral | (![X]:(brave(X)=>(~quiet(X)&~rich(X))))&
(![X]:((rich(X)&brave(X))<=>(funny(X)&old(X))))&
(((~calm(paul)|~happy(paul)))<=>(?[X]:((strong(X)<~>happy(X)))))&
(((~quiet(mary)|curious(mary)))<=>(~humble(paul)))&
((?[X]:((brave(X)|old(X))))<=>(?[X]:((kind(X)&~tall(X)))))&
(![X]:((curious(X)<~>~quiet(X))<=>(generous(X)&~tall... | ~brave(fred) | [] | null | 0 |
Everyone who is either old or not funny is both tall and not curious and vice versa.
Everyone who is either strong or rich is both not curious and generous.
If someone is generous or kind then john is both not generous and tall and vice versa.
Everyone who is either not brave or strong is either not strong or curious.
... | Paul is curious. | entailment | (![X]:((old(X)<~>~funny(X))<=>(tall(X)&~curious(X))))&
(![X]:((strong(X)<~>rich(X))=>(~curious(X)&generous(X))))&
((?[X]:((generous(X)|kind(X))))<=>((~generous(john)&tall(john))))&
(![X]:((~brave(X)<~>strong(X))=>(~strong(X)<~>curious(X))))&
(![X]:((happy(X)|kind(X))=>(~tall(X)<~>~quiet(X))))&
(((brave(john)<~>~humble(... | curious(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5445360069218148411255664
% SZS output start Proof for 5445360069218148411255664
14. curious(paul) <=> (funny(paul) | ~curious(paul)) [input p13]
24. ~curious(paul) [input hypothesis]
57. (curious(paul) | (~funny(paul) & curious(paul))) & ((funny(paul) | ~curious(paul)) | ~curious(paul)) ... | 0 |
If someone is not happy then someone is funny and vice versa.
Everyone who is not brave is not creative and vice versa.
Everyone who is calm or humble is both calm and humble.
If someone is either generous or not creative then someone is both tall and not humble.
Everyone who is not curious or happy is strong or curiou... | Susan is not brave. | entailment | ((?[X]:(~happy(X)))<=>(?[X]:(funny(X))))&
(![X]:(~brave(X)<=>~creative(X)))&
(![X]:((calm(X)|humble(X))=>(calm(X)&humble(X))))&
((?[X]:((generous(X)<~>~creative(X))))=>(?[X]:((tall(X)&~humble(X)))))&
(![X]:((~curious(X)|happy(X))=>(strong(X)|curious(X))))&
(![X]:((~tall(X)<~>~strong(X))<=>(~rich(X)|~creative(X))))&
((?... | ~brave(susan) | [
"p1",
"p3",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2029812388272690652932176
% SZS output start Proof for 2029812388272690652932176
2. ! [X0] : (~brave(X0) <=> ~creative(X0)) [input p1]
4. ? [X0] : (generous(X0) <~> ~creative(X0)) => ? [X0] : (~humble(X0) & tall(X0)) [input p3]
11. ! [X0] : (~humble(X0) => (humble(X0) <~> ~tall(X0))) [inp... | 0 |
Everyone who is both not tall and not strong is either curious or not creative and vice versa.
Everyone who is not tall or quiet is either humble or brave.
Everyone who is both wise and not patient is brave or not patient.
If someone is either not kind or happy then paul is both not kind and happy and vice versa.
Every... | Paul is not kind. | entailment | (![X]:((~tall(X)&~strong(X))<=>(curious(X)<~>~creative(X))))&
(![X]:((~tall(X)|quiet(X))=>(humble(X)<~>brave(X))))&
(![X]:((wise(X)&~patient(X))=>(brave(X)|~patient(X))))&
((?[X]:((~kind(X)<~>happy(X))))<=>((~kind(paul)&happy(paul))))&
(![X]:((happy(X)|brave(X))<=>(quiet(X)&creative(X))))&
(![X]:((kind(X)|~kind(X))<=>(... | ~kind(paul) | [
"p3",
"p4",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6961485596032324842300250
% SZS output start Proof for 6961485596032324842300250
4. ? [X0] : (~kind(X0) <~> happy(X0)) <=> (happy(paul) & ~kind(paul)) [input p3]
5. ! [X0] : ((brave(X0) | happy(X0)) <=> (creative(X0) & quiet(X0))) [input p4]
18. kind(john) <~> ~brave(john) [input p17]
23.... | 0 |
If someone is curious or not rich then paul is not wise and vice versa.
Everyone who is wise is not humble.
Everyone who is either creative or not strong is not happy or brave.
If mary is brave then someone is not funny and vice versa.
Everyone who is tall is strong or not funny and vice versa.
Everyone who is old or n... | Lucy is not curious. | entailment | ((?[X]:((curious(X)|~rich(X))))<=>(~wise(paul)))&
(![X]:(wise(X)=>~humble(X)))&
(![X]:((creative(X)<~>~strong(X))=>(~happy(X)|brave(X))))&
((brave(mary))<=>(?[X]:(~funny(X))))&
(![X]:(tall(X)<=>(strong(X)|~funny(X))))&
(![X]:((old(X)|~brave(X))<=>~happy(X)))&
(![X]:((old(X)&tall(X))<=>(rich(X)<~>~happy(X))))&
(![X]:((~... | ~curious(lucy) | [
"p5",
"p6",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1604363715318031798418189
% SZS output start Proof for 1604363715318031798418189
6. ! [X0] : ((~brave(X0) | old(X0)) <=> ~happy(X0)) [input p5]
7. ! [X0] : ((tall(X0) & old(X0)) <=> (rich(X0) <~> ~happy(X0))) [input p6]
13. ? [X0] : ~rich(X0) => ~curious(lucy) [input p12]
16. ! [X0] : ((r... | 0 |
If lucy is not old or old then john is tall and vice versa. Everyone who is both not old and not patient is either quiet or not old. If someone is not funny or old then someone is either curious or rich. If alice is both old and rich then lucy is not rich and vice versa. Everyone who is both not patient and not rich is... | Paul is calm. | contradiction | (((~old(lucy)|old(lucy)))<=>(tall(john)))&
(![X]:((~old(X)&~patient(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((~funny(X)|old(X))))=>(?[X]:((curious(X)<~>rich(X)))))&
(((old(alice)&rich(alice)))<=>(~rich(lucy)))&
(![X]:((~patient(X)&~rich(X))<=>(creative(X)<~>humble(X))))&
(![X]:((funny(X)|generous(X))=>(~strong(X)&~kind(X))... | calm(paul) | [
"p6",
"p8",
"p10",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8723203013846129198985867
% SZS output start Proof for 8723203013846129198985867
7. (~old(paul) <~> ~rich(paul)) <=> ~creative(paul) [input p6]
9. ! [X0] : (~calm(X0) <=> happy(X0)) [input p8]
11. ! [X0] : (calm(X0) <=> (~kind(X0) & ~old(X0))) [input p10]
15. ! [X0] : ((calm(X0) | happy(X... | 0 |
If fred is both happy and not tall then someone is either not funny or quiet and vice versa. If lucy is not wise then someone is either funny or not quiet and vice versa. If mary is brave or not patient then mary is both not patient and old and vice versa. Everyone who is not patient or curious is both not calm and qui... | Alice is not kind. | contradiction | (((happy(fred)&~tall(fred)))<=>(?[X]:((~funny(X)<~>quiet(X)))))&
((~wise(lucy))<=>(?[X]:((funny(X)<~>~quiet(X)))))&
(((brave(mary)|~patient(mary)))<=>((~patient(mary)&old(mary))))&
(![X]:((~patient(X)|curious(X))<=>(~calm(X)&quiet(X))))&
(![X]:((calm(X)|~kind(X))=>(~calm(X)&kind(X))))&
((~old(paul))=>((happy(lucy)&~fun... | ~kind(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3870718180404153615666545
% SZS output start Proof for 3870718180404153615666545
5. ! [X0] : ((~kind(X0) | calm(X0)) => (kind(X0) & ~calm(X0))) [input p4]
23. ~kind(alice) [input hypothesis]
24. ! [X0] : ((kind(X0) & ~calm(X0)) | (kind(X0) & ~calm(X0))) [ennf transformation 5]
89. kind(X0... | 0 |
Everyone who is both not tall and generous is not curious or happy and vice versa.
Everyone who is not old is not tall or patient and vice versa.
If mary is generous then alice is not calm or generous and vice versa.
If someone is not curious then someone is not tall.
Everyone who is wise or not curious is both not tal... | Alice is not generous. | contradiction | (![X]:((~tall(X)&generous(X))<=>(~curious(X)|happy(X))))&
(![X]:(~old(X)<=>(~tall(X)|patient(X))))&
((generous(mary))<=>((~calm(alice)|generous(alice))))&
((?[X]:(~curious(X)))=>(?[X]:(~tall(X))))&
(![X]:((wise(X)|~curious(X))<=>(~tall(X)&~old(X))))&
(((~quiet(lucy)|humble(lucy)))=>(?[X]:(~funny(X))))&
((?[X]:((creativ... | ~generous(alice) | [
"p0",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1845476724676091457599261
% SZS output start Proof for 1845476724676091457599261
1. ! [X0] : ((generous(X0) & ~tall(X0)) <=> (happy(X0) | ~curious(X0))) [input p0]
18. ~tall(alice) & happy(alice) [input p17]
25. ~generous(alice) [input hypothesis]
37. ! [X0] : (((generous(X0) & ~tall(X0))... | 0 |
If someone is both not strong and old then susan is not humble.
Everyone who is both rich and not old is both not calm and kind.
Everyone who is both funny and generous is either tall or humble and vice versa.
Everyone who is curious is not strong and vice versa.
If someone is rich or not curious then someone is not hu... | Fred is not curious. | neutral | ((?[X]:((~strong(X)&old(X))))=>(~humble(susan)))&
(![X]:((rich(X)&~old(X))=>(~calm(X)&kind(X))))&
(![X]:((funny(X)&generous(X))<=>(tall(X)<~>humble(X))))&
(![X]:(curious(X)<=>~strong(X)))&
((?[X]:((rich(X)|~curious(X))))=>(?[X]:((~humble(X)|~happy(X)))))&
(![X]:((~calm(X)<~>kind(X))=>(~generous(X)&~happy(X))))&
(![X]:(... | ~curious(fred) | [] | null | 0 |
If someone is not brave then mary is either not creative or generous.
Everyone who is not brave is humble or not old.
If fred is both funny and not tall then alice is not funny.
Everyone who is both not quiet and not funny is not curious.
If mary is creative then someone is either humble or not old.
Everyone who is tal... | Fred is not wise. | neutral | ((?[X]:(~brave(X)))=>((~creative(mary)<~>generous(mary))))&
(![X]:(~brave(X)=>(humble(X)|~old(X))))&
(((funny(fred)&~tall(fred)))=>(~funny(alice)))&
(![X]:((~quiet(X)&~funny(X))=>~curious(X)))&
((creative(mary))=>(?[X]:((humble(X)<~>~old(X)))))&
(![X]:(tall(X)=>calm(X)))&
(![X]:((creative(X)&curious(X))<=>(wise(X)<~>~f... | ~wise(fred) | [] | null | 0 |
If someone is strong or not funny then paul is curious.
If fred is either calm or rich then someone is either not strong or not happy.
If someone is either not funny or not generous then someone is either calm or tall and vice versa.
Everyone who is humble or patient is wise.
Everyone who is old or curious is either cu... | Susan is kind. | contradiction | ((?[X]:((strong(X)|~funny(X))))=>(curious(paul)))&
(((calm(fred)<~>rich(fred)))=>(?[X]:((~strong(X)<~>~happy(X)))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:((calm(X)<~>tall(X)))))&
(![X]:((humble(X)|patient(X))=>wise(X)))&
(![X]:((old(X)|curious(X))<=>(curious(X)<~>creative(X))))&
(((~brave(alice)<~>~funny(alice)... | kind(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 176607594160545601281166
% SZS output start Proof for 176607594160545601281166
7. ! [X0] : ((happy(X0) | kind(X0)) <=> (happy(X0) & ~happy(X0))) [input p6]
25. kind(susan) [input hypothesis]
52. ! [X0] : (((happy(X0) | kind(X0)) | (~happy(X0) | happy(X0))) & ((happy(X0) & ~happy(X0)) | (~... | 0 |
If lucy is not funny or not wise then john is either not calm or wise and vice versa.
Everyone who is either strong or not old is both patient and not brave and vice versa.
If paul is either not brave or not generous then someone is either quiet or not humble and vice versa.
Everyone who is both quiet and not kind is n... | John is patient. | neutral | (((~funny(lucy)|~wise(lucy)))<=>((~calm(john)<~>wise(john))))&
(![X]:((strong(X)<~>~old(X))<=>(patient(X)&~brave(X))))&
(((~brave(paul)<~>~generous(paul)))<=>(?[X]:((quiet(X)<~>~humble(X)))))&
(![X]:((quiet(X)&~kind(X))<=>(~creative(X)|funny(X))))&
(![X]:((humble(X)<~>~happy(X))=>(calm(X)<~>brave(X))))&
(![X]:((wise(X)... | patient(john) | [] | null | 0 |
Everyone who is either not rich or not calm is not rich and vice versa. Everyone who is either not old or not happy is not kind or not brave. Everyone who is humble or not quiet is not wise and vice versa. If someone is either brave or not generous then paul is either rich or not tall. If john is old then someone is ei... | Alice is happy. | entailment | (![X]:((~rich(X)<~>~calm(X))<=>~rich(X)))&
(![X]:((~old(X)<~>~happy(X))=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)|~quiet(X))<=>~wise(X)))&
((?[X]:((brave(X)<~>~generous(X))))=>((rich(paul)<~>~tall(paul))))&
((old(john))<=>(?[X]:((~tall(X)<~>~generous(X)))))&
(![X]:(~creative(X)=>(~creative(X)&rich(X))))&
((kind(fred))... | happy(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7353580825388402822772004
% SZS output start Proof for 7353580825388402822772004
13. ! [X0] : (quiet(X0) <=> (quiet(X0) <~> ~happy(X0))) [input p12]
25. ~happy(alice) [input hypothesis]
52. ! [X0] : ((quiet(X0) | ((quiet(X0) | happy(X0)) & (~happy(X0) | ~quiet(X0)))) & (((happy(X0) | ~qui... | 0 |
Everyone who is either not curious or not funny is both not creative and creative. Everyone who is both not brave and not creative is both not strong and not rich. If alice is either brave or not humble then lucy is either old or not humble and vice versa. If someone is either quiet or not generous then fred is creativ... | Alice is kind. | neutral | (![X]:((~curious(X)<~>~funny(X))=>(~creative(X)&creative(X))))&
(![X]:((~brave(X)&~creative(X))=>(~strong(X)&~rich(X))))&
(((brave(alice)<~>~humble(alice)))<=>((old(lucy)<~>~humble(lucy))))&
((?[X]:((quiet(X)<~>~generous(X))))<=>((creative(fred)|~creative(fred))))&
((?[X]:(~patient(X)))=>((~patient(fred)<~>~kind(fred))... | kind(alice) | [] | null | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa. If susan is both not curious and not rich then someone is creative or not calm. Everyone who is both happy and not rich is funny or not creative and vice versa. Everyone who is either not tall or not curious is both humble and not funny ... | John is wise. | contradiction | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
(((~curious(susan)&~rich(susan)))=>(?[X]:((creative(X)|~calm(X)))))&
(![X]:((happy(X)&~rich(X))<=>(funny(X)|~creative(X))))&
(![X]:((~tall(X)<~>~curious(X))<=>(humble(X)&~funny(X))))&
(![X]:((~funny(X)<~>tall(X))=>~wise(X)))&
((?[X]:((rich(X)&old(X))))=>(?[X]:(... | wise(john) | [
"p0",
"p2",
"p4",
"p11",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5881252807197270686522947
% SZS output start Proof for 5881252807197270686522947
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~happy(X0) <~> generous(X0))) [input p0]
3. ! [X0] : ((~rich(X0) & happy(X0)) <=> (~creative(X0) | funny(X0))) [input p2]
5. ! [X0] : ((~funny(X0) <~> tall(X0)) => ~... | 0 |
Everyone who is rich is either not wise or strong and vice versa.
Everyone who is either curious or old is either generous or kind and vice versa.
Everyone who is both funny and not generous is either calm or not patient.
Everyone who is both not happy and not curious is both quiet and funny and vice versa.
Everyone wh... | Lucy is funny. | contradiction | (![X]:(rich(X)<=>(~wise(X)<~>strong(X))))&
(![X]:((curious(X)<~>old(X))<=>(generous(X)<~>kind(X))))&
(![X]:((funny(X)&~generous(X))=>(calm(X)<~>~patient(X))))&
(![X]:((~happy(X)&~curious(X))<=>(quiet(X)&funny(X))))&
(![X]:((~funny(X)|~kind(X))<=>(~strong(X)<~>strong(X))))&
((?[X]:((~humble(X)<~>~patient(X))))=>((~quiet... | funny(lucy) | [
"p4",
"p6",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 444507360474396684255318
% SZS output start Proof for 444507360474396684255318
5. ! [X0] : ((~kind(X0) | ~funny(X0)) <=> (~strong(X0) <~> strong(X0))) [input p4]
7. ! [X0] : ((brave(X0) | kind(X0)) <=> ~calm(X0)) [input p6]
12. ! [X0] : (brave(X0) <=> (kind(X0) & ~humble(X0))) [input p11]... | 0 |
Everyone who is not humble is either not creative or not happy. Everyone who is either not humble or not tall is both happy and wise. Everyone who is not brave is curious or not rich. Everyone who is generous or not rich is not kind. Everyone who is both not happy and calm is either brave or not brave and vice versa. E... | Fred is rich. | neutral | (![X]:(~humble(X)=>(~creative(X)<~>~happy(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(happy(X)&wise(X))))&
(![X]:(~brave(X)=>(curious(X)|~rich(X))))&
(![X]:((generous(X)|~rich(X))=>~kind(X)))&
(![X]:((~happy(X)&calm(X))<=>(brave(X)<~>~brave(X))))&
(![X]:((~old(X)|rich(X))<=>(curious(X)&wise(X))))&
(![X]:((~rich(X)<~>~gener... | rich(fred) | [] | null | 0 |
If susan is calm then fred is either not creative or not funny. If someone is not brave then alice is rich or humble and vice versa. Everyone who is calm is not rich or not curious. Everyone who is both not wise and not kind is both not happy and not brave and vice versa. If fred is not calm then someone is both calm a... | Fred is funny. | contradiction | ((calm(susan))=>((~creative(fred)<~>~funny(fred))))&
((?[X]:(~brave(X)))<=>((rich(alice)|humble(alice))))&
(![X]:(calm(X)=>(~rich(X)|~curious(X))))&
(![X]:((~wise(X)&~kind(X))<=>(~happy(X)&~brave(X))))&
((~calm(fred))<=>(?[X]:((calm(X)&~wise(X)))))&
((?[X]:((~strong(X)&~tall(X))))=>((quiet(john)&~generous(john))))&
((q... | funny(fred) | [
"p7",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5476081123406344893629713
% SZS output start Proof for 5476081123406344893629713
8. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> (~humble(X0) <~> funny(X0))) [input p7]
9. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (humble(X0) <~> patient(X0))) [input p8]
10. ! [X0] : ((patient(X0) & funny(X0)) =... | 0 |
If paul is not calm or brave then someone is both not old and not rich and vice versa.
Everyone who is brave or not wise is humble and vice versa.
Everyone who is not quiet or humble is both creative and not tall.
Everyone who is either not creative or generous is humble or not generous and vice versa.
Everyone who is ... | Paul is brave. | contradiction | (((~calm(paul)|brave(paul)))<=>(?[X]:((~old(X)&~rich(X)))))&
(![X]:((brave(X)|~wise(X))<=>humble(X)))&
(![X]:((~quiet(X)|humble(X))=>(creative(X)&~tall(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(humble(X)|~generous(X))))&
(![X]:((~funny(X)<~>~quiet(X))=>(~old(X)<~>curious(X))))&
(![X]:((~creative(X)&calm(X))<=>patie... | brave(paul) | [
"p0",
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1789562690655505417743091
% SZS output start Proof for 1789562690655505417743091
1. (brave(paul) | ~calm(paul)) <=> ? [X0] : (~rich(X0) & ~old(X0)) [input p0]
3. ! [X0] : ((humble(X0) | ~quiet(X0)) => (~tall(X0) & creative(X0))) [input p2]
13. ! [X0] : ((~humble(X0) | creative(X0)) <=> (o... | 0 |
If someone is rich or strong then susan is both not quiet and humble and vice versa.
Everyone who is both not patient and old is creative or not generous and vice versa.
If susan is curious then someone is both not patient and rich and vice versa.
If someone is humble then someone is not funny or not humble and vice ve... | Susan is not strong. | neutral | ((?[X]:((rich(X)|strong(X))))<=>((~quiet(susan)&humble(susan))))&
(![X]:((~patient(X)&old(X))<=>(creative(X)|~generous(X))))&
((curious(susan))<=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((~funny(X)|~humble(X)))))&
(![X]:((~wise(X)<~>~calm(X))=>(kind(X)<~>~strong(X))))&
(![X]:((~quiet(X)<~>creative(... | ~strong(susan) | [] | null | 0 |
Everyone who is not wise or kind is both tall and wise.
If mary is either not rich or not quiet then alice is either not strong or not quiet and vice versa.
Everyone who is either kind or not generous is both not generous and not strong.
Everyone who is strong is not funny and vice versa.
Everyone who is brave or rich ... | Mary is brave. | neutral | (![X]:((~wise(X)|kind(X))=>(tall(X)&wise(X))))&
(((~rich(mary)<~>~quiet(mary)))<=>((~strong(alice)<~>~quiet(alice))))&
(![X]:((kind(X)<~>~generous(X))=>(~generous(X)&~strong(X))))&
(![X]:(strong(X)<=>~funny(X)))&
(![X]:((brave(X)|rich(X))<=>(~rich(X)&~creative(X))))&
(![X]:((kind(X)&~old(X))=>(rich(X)<~>~tall(X))))&
((... | brave(mary) | [] | null | 0 |
If alice is both humble and not wise then john is either not old or quiet.
If someone is wise then paul is not funny and vice versa.
Everyone who is both not old and tall is either not happy or not rich and vice versa.
Everyone who is wise or not humble is either quiet or not rich and vice versa.
If susan is strong or ... | John is calm. | entailment | (((humble(alice)&~wise(alice)))=>((~old(john)<~>quiet(john))))&
((?[X]:(wise(X)))<=>(~funny(paul)))&
(![X]:((~old(X)&tall(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:((wise(X)|~humble(X))<=>(quiet(X)<~>~rich(X))))&
(((strong(susan)|old(susan)))<=>((strong(susan)|brave(susan))))&
(![X]:((~curious(X)<~>old(X))<=>(old(X)<~>~fun... | calm(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4345518402447818609802061
% SZS output start Proof for 4345518402447818609802061
10. ! [X0] : ((tall(X0) | ~calm(X0)) <=> calm(X0)) [input p9]
24. ~calm(john) [input hypothesis]
54. ! [X0] : (((tall(X0) | ~calm(X0)) | ~calm(X0)) & (calm(X0) | (~tall(X0) & calm(X0)))) [nnf transformation 1... | 0 |
If lucy is curious or kind then mary is both humble and not rich and vice versa.
Everyone who is kind is not brave.
Everyone who is both brave and calm is both not funny and not happy.
If someone is both quiet and patient then someone is both funny and not brave and vice versa.
If lucy is either not happy or not quiet ... | Lucy is old. | neutral | (((curious(lucy)|kind(lucy)))<=>((humble(mary)&~rich(mary))))&
(![X]:(kind(X)=>~brave(X)))&
(![X]:((brave(X)&calm(X))=>(~funny(X)&~happy(X))))&
((?[X]:((quiet(X)&patient(X))))<=>(?[X]:((funny(X)&~brave(X)))))&
(((~happy(lucy)<~>~quiet(lucy)))=>((~kind(mary)|~patient(mary))))&
(((old(lucy)|kind(lucy)))<=>((calm(paul)<~>... | old(lucy) | [] | null | 0 |
If someone is both happy and curious then paul is not curious and vice versa. Everyone who is both quiet and old is both not wise and calm. If john is wise or not kind then fred is not humble and vice versa. Everyone who is both tall and generous is humble or wise. Everyone who is both not brave and creative is both wi... | Fred is not brave. | neutral | ((?[X]:((happy(X)&curious(X))))<=>(~curious(paul)))&
(![X]:((quiet(X)&old(X))=>(~wise(X)&calm(X))))&
(((wise(john)|~kind(john)))<=>(~humble(fred)))&
(![X]:((tall(X)&generous(X))=>(humble(X)|wise(X))))&
(![X]:((~brave(X)&creative(X))<=>(wise(X)&~brave(X))))&
(![X]:(~creative(X)<=>(~creative(X)<~>~rich(X))))&
(![X]:((tal... | ~brave(fred) | [] | null | 0 |
If someone is either tall or calm then susan is either happy or not kind.
If fred is either not quiet or strong then someone is not wise or not funny.
Everyone who is both not funny and quiet is not quiet and vice versa.
If alice is old then someone is not wise or not kind and vice versa.
Everyone who is not happy is n... | Lucy is happy. | entailment | ((?[X]:((tall(X)<~>calm(X))))=>((happy(susan)<~>~kind(susan))))&
(((~quiet(fred)<~>strong(fred)))=>(?[X]:((~wise(X)|~funny(X)))))&
(![X]:((~funny(X)&quiet(X))<=>~quiet(X)))&
((old(alice))<=>(?[X]:((~wise(X)|~kind(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
((?[X]:(~patient(X)))=>(?[X]:((~funny(X)|generous(X)))))&
(![X]:(~gen... | happy(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7532649943001747117971272
% SZS output start Proof for 7532649943001747117971272
7. ! [X0] : (~generous(X0) <=> (happy(X0) | generous(X0))) [input p6]
23. ~happy(lucy) [input hypothesis]
49. ! [X0] : ((~generous(X0) | (~happy(X0) & ~generous(X0))) & ((happy(X0) | generous(X0)) | generous(... | 0 |
Everyone who is not kind is generous.
Everyone who is not brave is not rich or not quiet and vice versa.
If someone is not calm or not strong then john is happy or not creative.
Everyone who is quiet is both generous and not quiet.
If susan is either strong or curious then susan is humble or not patient.
If someone is ... | Mary is calm. | neutral | (![X]:(~kind(X)=>generous(X)))&
(![X]:(~brave(X)<=>(~rich(X)|~quiet(X))))&
((?[X]:((~calm(X)|~strong(X))))=>((happy(john)|~creative(john))))&
(![X]:(quiet(X)=>(generous(X)&~quiet(X))))&
(((strong(susan)<~>curious(susan)))=>((humble(susan)|~patient(susan))))&
((?[X]:((~humble(X)|~creative(X))))<=>(?[X]:(curious(X))))&
(... | calm(mary) | [] | null | 0 |
Everyone who is not patient or calm is either humble or creative and vice versa. Everyone who is both funny and not calm is happy. Everyone who is either strong or humble is funny or curious and vice versa. If someone is either not tall or funny then paul is not creative. Everyone who is both brave and humble is either... | Alice is curious. | entailment | (![X]:((~patient(X)|calm(X))<=>(humble(X)<~>creative(X))))&
(![X]:((funny(X)&~calm(X))=>happy(X)))&
(![X]:((strong(X)<~>humble(X))<=>(funny(X)|curious(X))))&
((?[X]:((~tall(X)<~>funny(X))))=>(~creative(paul)))&
(![X]:((brave(X)&humble(X))=>(~calm(X)<~>quiet(X))))&
(((creative(alice)<~>quiet(alice)))=>(?[X]:((~curious(X... | curious(alice) | [
"p0",
"p6",
"p7",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5591984839462106998810224
% SZS output start Proof for 5591984839462106998810224
1. ! [X0] : ((calm(X0) | ~patient(X0)) <=> (humble(X0) <~> creative(X0))) [input p0]
7. ! [X0] : ((~kind(X0) | ~humble(X0)) <=> ~patient(X0)) [input p6]
8. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (wise(X0... | 0 |
Everyone who is either creative or not patient is not generous.
If someone is either not tall or not kind then someone is curious or not strong.
Everyone who is both old and not calm is creative and vice versa.
If someone is either not curious or not strong then someone is either not kind or not wise.
Everyone who is t... | Fred is not old. | contradiction | (![X]:((creative(X)<~>~patient(X))=>~generous(X)))&
((?[X]:((~tall(X)<~>~kind(X))))=>(?[X]:((curious(X)|~strong(X)))))&
(![X]:((old(X)&~calm(X))<=>creative(X)))&
((?[X]:((~curious(X)<~>~strong(X))))=>(?[X]:((~kind(X)<~>~wise(X)))))&
(![X]:((tall(X)|funny(X))<=>(~strong(X)<~>funny(X))))&
((rich(alice))=>(~old(john)))&
(... | ~old(fred) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7913557785450456718120515
% SZS output start Proof for 7913557785450456718120515
3. ! [X0] : ((~calm(X0) & old(X0)) <=> creative(X0)) [input p2]
14. ! [X0] : ((~old(X0) | ~tall(X0)) <=> (creative(X0) & happy(X0))) [input p13]
24. ~old(fred) [input hypothesis]
47. ! [X0] : (((~calm(X0) & o... | 0 |
Everyone who is either not brave or humble is not old and vice versa.
Everyone who is either old or not rich is not quiet and vice versa.
Everyone who is either wise or quiet is happy.
If lucy is either not happy or not quiet then fred is tall.
Everyone who is both patient and not funny is both not happy and quiet.
If ... | John is not brave. | neutral | (![X]:((~brave(X)<~>humble(X))<=>~old(X)))&
(![X]:((old(X)<~>~rich(X))<=>~quiet(X)))&
(![X]:((wise(X)<~>quiet(X))=>happy(X)))&
(((~happy(lucy)<~>~quiet(lucy)))=>(tall(fred)))&
(![X]:((patient(X)&~funny(X))=>(~happy(X)&quiet(X))))&
(((creative(lucy)<~>tall(lucy)))<=>(?[X]:((~patient(X)|patient(X)))))&
(![X]:((humble(X)<... | ~brave(john) | [] | null | 0 |
If john is not brave then john is not kind or happy and vice versa.
Everyone who is kind or not tall is not strong or funny and vice versa.
Everyone who is both humble and not kind is kind and vice versa.
Everyone who is patient is creative or not generous.
Everyone who is brave or old is either not brave or not rich a... | Alice is not wise. | neutral | ((~brave(john))<=>((~kind(john)|happy(john))))&
(![X]:((kind(X)|~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X]:(patient(X)=>(creative(X)|~generous(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~kind(X)<=>(~funny(X)&~old(X))))&
(![X]:(~quiet(X)=>(~patient(X)|~kin... | ~wise(alice) | [] | null | 0 |
Everyone who is either not generous or not brave is either not brave or old and vice versa.
Everyone who is tall or wise is both rich and curious and vice versa.
Everyone who is quiet or happy is either not happy or creative.
Everyone who is creative or not calm is both not generous and kind.
Everyone who is not happy ... | Alice is not old. | contradiction | (![X]:((~generous(X)<~>~brave(X))<=>(~brave(X)<~>old(X))))&
(![X]:((tall(X)|wise(X))<=>(rich(X)&curious(X))))&
(![X]:((quiet(X)|happy(X))=>(~happy(X)<~>creative(X))))&
(![X]:((creative(X)|~calm(X))=>(~generous(X)&kind(X))))&
(![X]:(~happy(X)=>(funny(X)|~strong(X))))&
((?[X]:((creative(X)&~quiet(X))))<=>(~generous(mary)... | ~old(alice) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3097238019895854235585118
% SZS output start Proof for 3097238019895854235585118
1. ! [X0] : ((~generous(X0) <~> ~brave(X0)) <=> (~brave(X0) <~> old(X0))) [input p0]
3. ! [X0] : ((happy(X0) | quiet(X0)) => (~happy(X0) <~> creative(X0))) [input p2]
4. ! [X0] : ((~calm(X0) | creative(X0)) =... | 0 |
If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someone is both not curious and not creative. If someone is both strong and quiet then someone is not gen... | Fred is quiet. | contradiction | ((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(~humble(X)=>(~funny(X)<~>~quiet(X))))... | quiet(fred) | [
"p3",
"p5",
"p7",
"p10",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6317170956064358912725456
% SZS output start Proof for 6317170956064358912725456
4. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p3]
6. ? [X0] : (~generous(X0) | ~patient(X0)) <=> ? [X0] : (~generous(X0) <~> wise(X0)) [input p5]
8. ! [X0] : ((~strong(... | 0 |
If paul is brave or not brave then someone is both humble and not creative and vice versa. Everyone who is either not creative or creative is both not tall and rich. If someone is either not calm or calm then mary is both not happy and brave and vice versa. Everyone who is either not strong or not patient is either wis... | Mary is not generous. | neutral | (((brave(paul)|~brave(paul)))<=>(?[X]:((humble(X)&~creative(X)))))&
(![X]:((~creative(X)<~>creative(X))=>(~tall(X)&rich(X))))&
((?[X]:((~calm(X)<~>calm(X))))<=>((~happy(mary)&brave(mary))))&
(![X]:((~strong(X)<~>~patient(X))=>(wise(X)<~>~tall(X))))&
(![X]:(generous(X)<=>~curious(X)))&
((?[X]:(~kind(X)))=>(?[X]:((patien... | ~generous(mary) | [] | null | 0 |
If mary is both not curious and wise then susan is patient or not calm and vice versa.
If susan is either not quiet or patient then paul is both not quiet and strong and vice versa.
Everyone who is either curious or not rich is both not old and not rich and vice versa.
If someone is either not rich or not humble then f... | Mary is not rich. | neutral | (((~curious(mary)&wise(mary)))<=>((patient(susan)|~calm(susan))))&
(((~quiet(susan)<~>patient(susan)))<=>((~quiet(paul)&strong(paul))))&
(![X]:((curious(X)<~>~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:((~rich(X)<~>~humble(X))))<=>((humble(fred)<~>kind(fred))))&
(((~generous(mary)|~brave(mary)))<=>(?[X]:((~wise(X)<~>~old(... | ~rich(mary) | [] | null | 0 |
Everyone who is not tall is quiet. If alice is happy then someone is calm or not wise and vice versa. If paul is not strong then lucy is not tall. Everyone who is creative is funny or old and vice versa. If someone is old or not happy then alice is both patient and strong and vice versa. If someone is either strong or ... | John is not generous. | contradiction | (![X]:(~tall(X)=>quiet(X)))&
((happy(alice))<=>(?[X]:((calm(X)|~wise(X)))))&
((~strong(paul))=>(~tall(lucy)))&
(![X]:(creative(X)<=>(funny(X)|old(X))))&
((?[X]:((old(X)|~happy(X))))<=>((patient(alice)&strong(alice))))&
((?[X]:((strong(X)<~>humble(X))))<=>((~creative(paul)&happy(paul))))&
(![X]:((~creative(X)<~>generous... | ~generous(john) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6493321908733021630968642
% SZS output start Proof for 6493321908733021630968642
4. ! [X0] : (creative(X0) <=> (old(X0) | funny(X0))) [input p3]
5. ? [X0] : (~happy(X0) | old(X0)) <=> (strong(alice) & patient(alice)) [input p4]
6. ? [X0] : (strong(X0) <~> humble(X0)) <=> (happy(paul) & ~c... | 0 |
Everyone who is not curious is not generous or strong. If someone is either humble or not brave then someone is both funny and not humble and vice versa. If lucy is tall or strong then susan is generous and vice versa. Everyone who is not humble or kind is either rich or not curious. Everyone who is either not rich or ... | Mary is not old. | entailment | (![X]:(~curious(X)=>(~generous(X)|strong(X))))&
((?[X]:((humble(X)<~>~brave(X))))<=>(?[X]:((funny(X)&~humble(X)))))&
(((tall(lucy)|strong(lucy)))<=>(generous(susan)))&
(![X]:((~humble(X)|kind(X))=>(rich(X)<~>~curious(X))))&
(![X]:((~rich(X)<~>calm(X))<=>(~rich(X)&calm(X))))&
(![X]:((~calm(X)&~happy(X))<=>strong(X)))&
(... | ~old(mary) | [
"p1",
"p3",
"p4",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 223024561028605422625331
% SZS output start Proof for 223024561028605422625331
2. ? [X0] : (humble(X0) <~> ~brave(X0)) <=> ? [X0] : (~humble(X0) & funny(X0)) [input p1]
4. ! [X0] : ((kind(X0) | ~humble(X0)) => (rich(X0) <~> ~curious(X0))) [input p3]
5. ! [X0] : ((~rich(X0) <~> calm(X0)) <... | 0 |
If mary is both not old and brave then susan is both generous and curious and vice versa.
If someone is not humble then someone is brave.
If someone is either not strong or wise then someone is either generous or kind.
Everyone who is either not wise or tall is both not happy and not creative.
Everyone who is both not ... | Lucy is not humble. | contradiction | (((~old(mary)&brave(mary)))<=>((generous(susan)&curious(susan))))&
((?[X]:(~humble(X)))=>(?[X]:(brave(X))))&
((?[X]:((~strong(X)<~>wise(X))))=>(?[X]:((generous(X)<~>kind(X)))))&
(![X]:((~wise(X)<~>tall(X))=>(~happy(X)&~creative(X))))&
(![X]:((~humble(X)&~kind(X))=>(~quiet(X)<~>~generous(X))))&
(((humble(alice)&kind(ali... | ~humble(lucy) | [
"p7",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8775925840210352823334460
% SZS output start Proof for 8775925840210352823334460
8. ! [X0] : ((old(X0) | patient(X0)) => (rich(X0) & humble(X0))) [input p7]
10. ! [X0] : (creative(X0) => (happy(X0) & wise(X0))) [input p9]
11. ! [X0] : ((quiet(X0) & ~wise(X0)) <=> (humble(X0) <~> ~old(X0))... | 0 |
Everyone who is not tall or quiet is not funny or wise.
Everyone who is either happy or not humble is generous or strong and vice versa.
If lucy is either not generous or not happy then someone is funny and vice versa.
Everyone who is generous or not rich is not brave or happy and vice versa.
Everyone who is both funny... | John is not calm. | neutral | (![X]:((~tall(X)|quiet(X))=>(~funny(X)|wise(X))))&
(![X]:((happy(X)<~>~humble(X))<=>(generous(X)|strong(X))))&
(((~generous(lucy)<~>~happy(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((generous(X)|~rich(X))<=>(~brave(X)|happy(X))))&
(![X]:((funny(X)&~tall(X))<=>(generous(X)&strong(X))))&
(![X]:((~calm(X)<~>~generous(X))=>(~kin... | ~calm(john) | [] | null | 0 |
If someone is both kind and not creative then someone is quiet or generous.
Everyone who is not patient is either wise or not generous and vice versa.
Everyone who is either not kind or not rich is wise or not patient and vice versa.
Everyone who is not creative is generous.
Everyone who is either happy or rich is both... | Fred is not generous. | contradiction | ((?[X]:((kind(X)&~creative(X))))=>(?[X]:((quiet(X)|generous(X)))))&
(![X]:(~patient(X)<=>(wise(X)<~>~generous(X))))&
(![X]:((~kind(X)<~>~rich(X))<=>(wise(X)|~patient(X))))&
(![X]:(~creative(X)=>generous(X)))&
(![X]:((happy(X)<~>rich(X))<=>(~funny(X)&~rich(X))))&
(![X]:((curious(X)<~>~humble(X))=>(humble(X)<~>~kind(X)))... | ~generous(fred) | [
"p3",
"p9",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1405985208005000802434190
% SZS output start Proof for 1405985208005000802434190
4. ! [X0] : (~creative(X0) => generous(X0)) [input p3]
10. ! [X0] : ((~kind(X0) | creative(X0)) <=> (curious(X0) | quiet(X0))) [input p9]
17. ~curious(fred) & ~tall(fred) [input p16]
24. ~quiet(fred) [input p... | 0 |
Everyone who is creative is not tall and vice versa.
Everyone who is either curious or creative is funny.
Everyone who is creative or tall is both not kind and quiet and vice versa.
Everyone who is not humble or not creative is either not creative or funny and vice versa.
Everyone who is not happy is patient or not cre... | Lucy is not happy. | contradiction | (![X]:(creative(X)<=>~tall(X)))&
(![X]:((curious(X)<~>creative(X))=>funny(X)))&
(![X]:((creative(X)|tall(X))<=>(~kind(X)&quiet(X))))&
(![X]:((~humble(X)|~creative(X))<=>(~creative(X)<~>funny(X))))&
(![X]:(~happy(X)<=>(patient(X)|~creative(X))))&
(![X]:(~humble(X)=>(tall(X)|happy(X))))&
(![X]:(~humble(X)<=>(~rich(X)&pat... | ~happy(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5782530824989485642872801
% SZS output start Proof for 5782530824989485642872801
1. ! [X0] : (creative(X0) <=> ~tall(X0)) [input p0]
2. ! [X0] : ((curious(X0) <~> creative(X0)) => funny(X0)) [input p1]
3. ! [X0] : ((tall(X0) | creative(X0)) <=> (quiet(X0) & ~kind(X0))) [input p2]
4. ! [X0... | 0 |
If someone is not happy or strong then someone is patient or kind and vice versa.
Everyone who is both patient and not calm is wise or not kind.
Everyone who is either not curious or strong is happy.
Everyone who is not patient or rich is either not funny or not happy.
Everyone who is not rich is curious.
Everyone who ... | Mary is old. | entailment | ((?[X]:((~happy(X)|strong(X))))<=>(?[X]:((patient(X)|kind(X)))))&
(![X]:((patient(X)&~calm(X))=>(wise(X)|~kind(X))))&
(![X]:((~curious(X)<~>strong(X))=>happy(X)))&
(![X]:((~patient(X)|rich(X))=>(~funny(X)<~>~happy(X))))&
(![X]:(~rich(X)=>curious(X)))&
(![X]:((~rich(X)<~>wise(X))=>(~calm(X)|~brave(X))))&
(![X]:((brave(X... | old(mary) | [
"p4",
"p7",
"p13",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8960932890041781246270294
% SZS output start Proof for 8960932890041781246270294
5. ! [X0] : (~rich(X0) => curious(X0)) [input p4]
8. ! [X0] : ((patient(X0) & brave(X0)) => (curious(X0) & humble(X0))) [input p7]
14. ! [X0] : (~brave(X0) => strong(X0)) [input p13]
15. ! [X0] : ((~strong(X0... | 0 |
Everyone who is not kind is patient and vice versa.
Everyone who is old is either not rich or quiet and vice versa.
Everyone who is calm is not tall.
Everyone who is brave is not patient or not happy and vice versa.
Everyone who is either not brave or curious is happy and vice versa.
If susan is either quiet or happy t... | Fred is funny. | neutral | (![X]:(~kind(X)<=>patient(X)))&
(![X]:(old(X)<=>(~rich(X)<~>quiet(X))))&
(![X]:(calm(X)=>~tall(X)))&
(![X]:(brave(X)<=>(~patient(X)|~happy(X))))&
(![X]:((~brave(X)<~>curious(X))<=>happy(X)))&
(((quiet(susan)<~>happy(susan)))=>(?[X]:((~curious(X)&~brave(X)))))&
(((~strong(fred)<~>quiet(fred)))<=>(?[X]:((calm(X)&quiet(X)... | funny(fred) | [] | null | 0 |
Everyone who is both not patient and not wise is both not old and quiet.
If someone is not generous then someone is kind and vice versa.
Everyone who is calm is either calm or not rich.
If susan is both old and not strong then fred is both humble and not funny and vice versa.
If someone is either not old or not quiet t... | John is not tall. | contradiction | (![X]:((~patient(X)&~wise(X))=>(~old(X)&quiet(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(kind(X))))&
(![X]:(calm(X)=>(calm(X)<~>~rich(X))))&
(((old(susan)&~strong(susan)))<=>((humble(fred)&~funny(fred))))&
((?[X]:((~old(X)<~>~quiet(X))))=>((~curious(fred)|~quiet(fred))))&
(![X]:((~tall(X)|~wise(X))<=>(~curious(X)&happy(X))... | ~tall(john) | [
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 44956622620746388181201
% SZS output start Proof for 44956622620746388181201
6. ! [X0] : ((~wise(X0) | ~tall(X0)) <=> (happy(X0) & ~curious(X0))) [input p5]
17. curious(john) & ~kind(john) [input p16]
25. ~tall(john) [input hypothesis]
48. ! [X0] : (((~wise(X0) | ~tall(X0)) | (~happy(X0) ... | 0 |
Everyone who is either not rich or not happy is both rich and humble.
Everyone who is strong or not kind is not curious or not tall and vice versa.
If someone is both not funny and curious then mary is curious or not curious.
If someone is quiet then someone is calm or humble.
Everyone who is either creative or generou... | Paul is not happy. | neutral | (![X]:((~rich(X)<~>~happy(X))=>(rich(X)&humble(X))))&
(![X]:((strong(X)|~kind(X))<=>(~curious(X)|~tall(X))))&
((?[X]:((~funny(X)&curious(X))))=>((curious(mary)|~curious(mary))))&
((?[X]:(quiet(X)))=>(?[X]:((calm(X)|humble(X)))))&
(![X]:((creative(X)<~>generous(X))<=>(creative(X)&~curious(X))))&
((?[X]:((humble(X)&~wise... | ~happy(paul) | [] | null | 0 |
Everyone who is both not wise and quiet is not funny.
Everyone who is old is both rich and humble and vice versa.
Everyone who is quiet is both curious and not happy.
If john is wise then paul is either old or not curious.
Everyone who is both quiet and not humble is brave.
Everyone who is not funny or not strong is bo... | Alice is not generous. | neutral | (![X]:((~wise(X)&quiet(X))=>~funny(X)))&
(![X]:(old(X)<=>(rich(X)&humble(X))))&
(![X]:(quiet(X)=>(curious(X)&~happy(X))))&
((wise(john))=>((old(paul)<~>~curious(paul))))&
(![X]:((quiet(X)&~humble(X))=>brave(X)))&
(![X]:((~funny(X)|~strong(X))<=>(happy(X)&~strong(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))=>((old(paul)&~gen... | ~generous(alice) | [] | null | 0 |
If someone is not calm then someone is generous. Everyone who is not quiet is not strong. Everyone who is not strong or not brave is calm. Everyone who is creative is both not patient and not curious. If someone is creative then alice is quiet and vice versa. If someone is funny or not creative then someone is rich. Ev... | Alice is not generous. | neutral | ((?[X]:(~calm(X)))=>(?[X]:(generous(X))))&
(![X]:(~quiet(X)=>~strong(X)))&
(![X]:((~strong(X)|~brave(X))=>calm(X)))&
(![X]:(creative(X)=>(~patient(X)&~curious(X))))&
((?[X]:(creative(X)))<=>(quiet(alice)))&
((?[X]:((funny(X)|~creative(X))))=>(?[X]:(rich(X))))&
(![X]:((~calm(X)|~kind(X))=>(rich(X)|~quiet(X))))&
((?[X]:(... | ~generous(alice) | [] | null | 0 |
If someone is both not happy and patient then someone is both wise and not brave and vice versa.
Everyone who is either not funny or not strong is either strong or rich.
Everyone who is old or patient is happy.
Everyone who is strong or funny is either not kind or not curious.
If john is both not wise and generous then... | Paul is not quiet. | entailment | ((?[X]:((~happy(X)&patient(X))))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((~funny(X)<~>~strong(X))=>(strong(X)<~>rich(X))))&
(![X]:((old(X)|patient(X))=>happy(X)))&
(![X]:((strong(X)|funny(X))=>(~kind(X)<~>~curious(X))))&
(((~wise(john)&generous(john)))=>((wise(john)&~curious(john))))&
(![X]:(funny(X)<=>(~quiet(X)|creat... | ~quiet(paul) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2378977012479913917524374
% SZS output start Proof for 2378977012479913917524374
9. ! [X0] : ((~calm(X0) | rich(X0)) => ~patient(X0)) [input p8]
11. ! [X0] : ((~rich(X0) | ~patient(X0)) => (~quiet(X0) & ~wise(X0))) [input p10]
24. quiet(paul) [input hypothesis]
35. ! [X0] : (~patient(X0) ... | 0 |
If someone is not quiet then fred is either not happy or brave.
If john is not wise or funny then paul is either kind or humble.
Everyone who is not funny or curious is not happy and vice versa.
Everyone who is brave or humble is not quiet.
Everyone who is not creative is creative or not tall and vice versa.
Everyone w... | Paul is not rich. | neutral | ((?[X]:(~quiet(X)))=>((~happy(fred)<~>brave(fred))))&
(((~wise(john)|funny(john)))=>((kind(paul)<~>humble(paul))))&
(![X]:((~funny(X)|curious(X))<=>~happy(X)))&
(![X]:((brave(X)|humble(X))=>~quiet(X)))&
(![X]:(~creative(X)<=>(creative(X)|~tall(X))))&
(![X]:((humble(X)<~>strong(X))=>(humble(X)&~rich(X))))&
((~quiet(lucy... | ~rich(paul) | [] | null | 0 |
If someone is either calm or strong then john is both strong and not tall and vice versa. If someone is either old or not rich then someone is creative. If someone is either not brave or creative then someone is brave. Everyone who is either not quiet or not happy is either quiet or strong and vice versa. If someone is... | John is rich. | entailment | ((?[X]:((calm(X)<~>strong(X))))<=>((strong(john)&~tall(john))))&
((?[X]:((old(X)<~>~rich(X))))=>(?[X]:(creative(X))))&
((?[X]:((~brave(X)<~>creative(X))))=>(?[X]:(brave(X))))&
(![X]:((~quiet(X)<~>~happy(X))<=>(quiet(X)<~>strong(X))))&
((?[X]:((brave(X)&~happy(X))))<=>(?[X]:((patient(X)&tall(X)))))&
(![X]:((old(X)<~>hum... | rich(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5131648012981200797290280
% SZS output start Proof for 5131648012981200797290280
12. ! [X0] : (~rich(X0) => (~curious(X0) & curious(X0))) [input p11]
25. ~rich(john) [input hypothesis]
35. ! [X0] : ((~curious(X0) & curious(X0)) | rich(X0)) [ennf transformation 12]
137. curious(X0) | rich(... | 0 |
If paul is not creative then mary is quiet or wise.
Everyone who is either happy or quiet is both not creative and not brave and vice versa.
Everyone who is either not old or humble is both not calm and not brave.
If lucy is not curious or wise then someone is both not funny and wise.
If someone is either tall or brave... | John is strong. | entailment | ((~creative(paul))=>((quiet(mary)|wise(mary))))&
(![X]:((happy(X)<~>quiet(X))<=>(~creative(X)&~brave(X))))&
(![X]:((~old(X)<~>humble(X))=>(~calm(X)&~brave(X))))&
(((~curious(lucy)|wise(lucy)))=>(?[X]:((~funny(X)&wise(X)))))&
((?[X]:((tall(X)<~>brave(X))))=>(patient(john)))&
(![X]:((~happy(X)<~>~quiet(X))<=>(rich(X)|~ri... | strong(john) | [
"p1",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4147222775865634322371830
% SZS output start Proof for 4147222775865634322371830
2. ! [X0] : ((happy(X0) <~> quiet(X0)) <=> (~brave(X0) & ~creative(X0))) [input p1]
6. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) <=> (~rich(X0) | rich(X0))) [input p5]
15. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => ... | 0 |
If someone is not calm then john is either quiet or not old and vice versa.
If paul is both not tall and happy then someone is not curious or not old.
Everyone who is both wise and not old is both not patient and not strong.
If john is both old and calm then someone is not brave or not funny and vice versa.
Everyone wh... | John is not creative. | neutral | ((?[X]:(~calm(X)))<=>((quiet(john)<~>~old(john))))&
(((~tall(paul)&happy(paul)))=>(?[X]:((~curious(X)|~old(X)))))&
(![X]:((wise(X)&~old(X))=>(~patient(X)&~strong(X))))&
(((old(john)&calm(john)))<=>(?[X]:((~brave(X)|~funny(X)))))&
(![X]:(old(X)<=>(patient(X)|~curious(X))))&
(![X]:((~strong(X)|~humble(X))=>(calm(X)<~>~ge... | ~creative(john) | [] | null | 0 |
If someone is tall or kind then alice is both not patient and not strong and vice versa. Everyone who is both not quiet and not curious is kind or curious and vice versa. If someone is old then fred is not humble and vice versa. Everyone who is tall is generous and vice versa. If someone is both curious and funny then ... | Lucy is not old. | entailment | ((?[X]:((tall(X)|kind(X))))<=>((~patient(alice)&~strong(alice))))&
(![X]:((~quiet(X)&~curious(X))<=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>(~humble(fred)))&
(![X]:(tall(X)<=>generous(X)))&
((?[X]:((curious(X)&funny(X))))<=>(?[X]:((curious(X)<~>~humble(X)))))&
(((~wise(paul)&~kind(paul)))<=>(?[X]:((~rich(X)|~calm(X)... | ~old(lucy) | [
"p1",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3530148228814571933434450
% SZS output start Proof for 3530148228814571933434450
2. ! [X0] : ((~curious(X0) & ~quiet(X0)) <=> (curious(X0) | kind(X0))) [input p1]
3. ? [X0] : old(X0) <=> ~humble(fred) [input p2]
5. ? [X0] : (funny(X0) & curious(X0)) <=> ? [X0] : (curious(X0) <~> ~humble(X... | 0 |
Everyone who is either not old or calm is both kind and not curious.
If susan is both not wise and not tall then someone is kind and vice versa.
Everyone who is both strong and not quiet is calm or not creative.
If mary is both not rich and humble then someone is not brave and vice versa.
If john is quiet then alice is... | John is not quiet. | entailment | (![X]:((~old(X)<~>calm(X))=>(kind(X)&~curious(X))))&
(((~wise(susan)&~tall(susan)))<=>(?[X]:(kind(X))))&
(![X]:((strong(X)&~quiet(X))=>(calm(X)|~creative(X))))&
(((~rich(mary)&humble(mary)))<=>(?[X]:(~brave(X))))&
((quiet(john))<=>((quiet(alice)&~generous(alice))))&
(((wise(paul)&~generous(paul)))=>(?[X]:((~strong(X)|c... | ~quiet(john) | [
"p4",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7471586066036376252315484
% SZS output start Proof for 7471586066036376252315484
5. quiet(john) <=> (~generous(alice) & quiet(alice)) [input p4]
11. ! [X0] : ((curious(X0) | ~generous(X0)) => (calm(X0) & creative(X0))) [input p10]
13. ! [X0] : ((creative(X0) <~> funny(X0)) <=> (funny(X0) ... | 0 |
If lucy is strong or rich then someone is either kind or not kind and vice versa. If someone is either not happy or humble then lucy is either quiet or not kind. Everyone who is both rich and brave is not funny or not creative and vice versa. Everyone who is tall is both not funny and funny and vice versa. Everyone who... | Mary is humble. | neutral | (((strong(lucy)|rich(lucy)))<=>(?[X]:((kind(X)<~>~kind(X)))))&
((?[X]:((~happy(X)<~>humble(X))))=>((quiet(lucy)<~>~kind(lucy))))&
(![X]:((rich(X)&brave(X))<=>(~funny(X)|~creative(X))))&
(![X]:(tall(X)<=>(~funny(X)&funny(X))))&
(![X]:((~old(X)&wise(X))=>(~tall(X)&~wise(X))))&
(![X]:(kind(X)<=>~generous(X)))&
(![X]:((~cr... | humble(mary) | [] | null | 0 |
If lucy is either tall or patient then someone is not generous or not brave and vice versa. If alice is not creative then paul is both not rich and wise and vice versa. If someone is not creative then someone is both kind and tall and vice versa. Everyone who is wise is either not tall or not curious. If susan is both ... | Fred is wise. | entailment | (((tall(lucy)<~>patient(lucy)))<=>(?[X]:((~generous(X)|~brave(X)))))&
((~creative(alice))<=>((~rich(paul)&wise(paul))))&
((?[X]:(~creative(X)))<=>(?[X]:((kind(X)&tall(X)))))&
(![X]:(wise(X)=>(~tall(X)<~>~curious(X))))&
(((~old(susan)&~patient(susan)))<=>(?[X]:((funny(X)|brave(X)))))&
(![X]:((brave(X)&~curious(X))=>(hap... | wise(fred) | [
"p6",
"p12",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5884629143356934479599602
% SZS output start Proof for 5884629143356934479599602
7. ! [X0] : (curious(X0) => (creative(X0) | ~old(X0))) [input p6]
13. ~old(paul) => wise(fred) [input p12]
20. ~creative(paul) [input p19]
24. ~curious(paul) <~> ~creative(paul) [input p23]
25. ~wise(fred) [i... | 0 |
If paul is both generous and not funny then someone is not funny or humble and vice versa.
Everyone who is either funny or brave is both old and humble and vice versa.
Everyone who is either not happy or not funny is both rich and wise and vice versa.
Everyone who is both creative and not creative is both not kind and ... | Paul is not funny. | entailment | (((generous(paul)&~funny(paul)))<=>(?[X]:((~funny(X)|humble(X)))))&
(![X]:((funny(X)<~>brave(X))<=>(old(X)&humble(X))))&
(![X]:((~happy(X)<~>~funny(X))<=>(rich(X)&wise(X))))&
(![X]:((creative(X)&~creative(X))<=>(~kind(X)&~quiet(X))))&
((?[X]:(curious(X)))=>((~quiet(alice)<~>curious(alice))))&
((old(susan))<=>(?[X]:(~ri... | ~funny(paul) | [
"p0",
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5397053874130936506770754
% SZS output start Proof for 5397053874130936506770754
1. (~funny(paul) & generous(paul)) <=> ? [X0] : (humble(X0) | ~funny(X0)) [input p0]
2. ! [X0] : ((funny(X0) <~> brave(X0)) <=> (humble(X0) & old(X0))) [input p1]
13. (brave(fred) <~> ~brave(fred)) => (~brave... | 0 |
Everyone who is either funny or curious is both creative and not old and vice versa. Everyone who is both old and kind is both generous and not curious. If someone is not calm then fred is calm or not humble. Everyone who is both not calm and wise is brave or not wise. If someone is not happy then someone is either wis... | Alice is funny. | neutral | (![X]:((funny(X)<~>curious(X))<=>(creative(X)&~old(X))))&
(![X]:((old(X)&kind(X))=>(generous(X)&~curious(X))))&
((?[X]:(~calm(X)))=>((calm(fred)|~humble(fred))))&
(![X]:((~calm(X)&wise(X))=>(brave(X)|~wise(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((wise(X)<~>old(X)))))&
(![X]:((~rich(X)&patient(X))<=>(~generous(X)&generous(X... | funny(alice) | [] | null | 0 |
Everyone who is both not creative and tall is wise or not old.
If someone is either not funny or strong then someone is either strong or humble and vice versa.
If paul is funny or not quiet then lucy is strong or not strong and vice versa.
Everyone who is not strong or not rich is wise or not calm.
Everyone who is crea... | Paul is brave. | entailment | (![X]:((~creative(X)&tall(X))=>(wise(X)|~old(X))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((strong(X)<~>humble(X)))))&
(((funny(paul)|~quiet(paul)))<=>((strong(lucy)|~strong(lucy))))&
(![X]:((~strong(X)|~rich(X))=>(wise(X)|~calm(X))))&
(![X]:((creative(X)|happy(X))=>humble(X)))&
(![X]:((~happy(X)&patient(X))=>~stro... | brave(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 13781607711392507931749
% SZS output start Proof for 13781607711392507931749
12. ! [X0] : ((~brave(X0) | happy(X0)) => brave(X0)) [input p11]
25. ~brave(paul) [input hypothesis]
39. ! [X0] : (brave(X0) | (brave(X0) & ~happy(X0))) [ennf transformation 12]
113. brave(X0) | brave(X0) [cnf tr... | 0 |
Everyone who is tall or not humble is rich and vice versa. Everyone who is either generous or calm is not funny. Everyone who is not funny or strong is either kind or wise. Everyone who is brave or not humble is both brave and not rich and vice versa. Everyone who is rich is not creative. If mary is either brave or hum... | Paul is not rich. | entailment | (![X]:((tall(X)|~humble(X))<=>rich(X)))&
(![X]:((generous(X)<~>calm(X))=>~funny(X)))&
(![X]:((~funny(X)|strong(X))=>(kind(X)<~>wise(X))))&
(![X]:((brave(X)|~humble(X))<=>(brave(X)&~rich(X))))&
(![X]:(rich(X)=>~creative(X)))&
(((brave(mary)<~>humble(mary)))<=>((calm(john)&~old(john))))&
(![X]:((quiet(X)<~>~happy(X))<=>h... | ~rich(paul) | [
"p9",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5816788069893315786850571
% SZS output start Proof for 5816788069893315786850571
10. ? [X0] : (rich(X0) | tall(X0)) => (~wise(susan) & humble(susan)) [input p9]
14. ? [X0] : (~quiet(X0) | ~wise(X0)) <=> (curious(paul) <~> ~funny(paul)) [input p13]
17. ~curious(paul) & funny(paul) [input p... | 0 |
If someone is not old then fred is brave.
Everyone who is either not old or not happy is not humble and vice versa.
Everyone who is either calm or not quiet is both not generous and brave.
Everyone who is both not strong and not quiet is not calm or old.
If someone is both curious and humble then susan is strong and vi... | Lucy is generous. | entailment | ((?[X]:(~old(X)))=>(brave(fred)))&
(![X]:((~old(X)<~>~happy(X))<=>~humble(X)))&
(![X]:((calm(X)<~>~quiet(X))=>(~generous(X)&brave(X))))&
(![X]:((~strong(X)&~quiet(X))=>(~calm(X)|old(X))))&
((?[X]:((curious(X)&humble(X))))<=>(strong(susan)))&
(![X]:((~tall(X)<~>~quiet(X))=>(~happy(X)|~wise(X))))&
((?[X]:(~generous(X)))<... | generous(lucy) | [
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6835937577044800101733573
% SZS output start Proof for 6835937577044800101733573
16. ? [X0] : (~funny(X0) | strong(X0)) <=> (~wise(lucy) & generous(lucy)) [input p15]
22. ~funny(fred) [input p21]
25. ~generous(lucy) [input hypothesis]
58. (? [X0] : (~funny(X0) | strong(X0)) | (wise(lucy) ... | 0 |
If someone is both not brave and not calm then susan is not old.
If someone is either not quiet or not curious then someone is both funny and not funny and vice versa.
If someone is either not calm or not brave then lucy is both not wise and kind.
Everyone who is brave is both generous and not wise and vice versa.
If s... | Susan is not old. | entailment | ((?[X]:((~brave(X)&~calm(X))))=>(~old(susan)))&
((?[X]:((~quiet(X)<~>~curious(X))))<=>(?[X]:((funny(X)&~funny(X)))))&
((?[X]:((~calm(X)<~>~brave(X))))=>((~wise(lucy)&kind(lucy))))&
(![X]:(brave(X)<=>(generous(X)&~wise(X))))&
((?[X]:(~patient(X)))=>(?[X]:((~patient(X)|~quiet(X)))))&
((tall(alice))=>((~creative(paul)|~qu... | ~old(susan) | [
"p0",
"p1",
"p3",
"p7",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 538984156830602118829888
% SZS output start Proof for 538984156830602118829888
1. ? [X0] : (~calm(X0) & ~brave(X0)) => ~old(susan) [input p0]
2. ? [X0] : (~quiet(X0) <~> ~curious(X0)) <=> ? [X0] : (~funny(X0) & funny(X0)) [input p1]
4. ! [X0] : (brave(X0) <=> (~wise(X0) & generous(X0))) [... | 0 |
If someone is quiet then paul is either happy or tall and vice versa.
Everyone who is either old or not curious is patient and vice versa.
If lucy is not tall then fred is both not calm and rich and vice versa.
Everyone who is either brave or not calm is humble or wise and vice versa.
Everyone who is either not rich or... | Lucy is generous. | neutral | ((?[X]:(quiet(X)))<=>((happy(paul)<~>tall(paul))))&
(![X]:((old(X)<~>~curious(X))<=>patient(X)))&
((~tall(lucy))<=>((~calm(fred)&rich(fred))))&
(![X]:((brave(X)<~>~calm(X))<=>(humble(X)|wise(X))))&
(![X]:((~rich(X)<~>happy(X))=>(~patient(X)<~>~humble(X))))&
(((~wise(paul)&creative(paul)))=>((rich(mary)&curious(mary))))... | generous(lucy) | [] | null | 0 |
If someone is both creative and not old then someone is not brave or funny.
Everyone who is not rich is both not happy and brave.
Everyone who is not humble is either not happy or brave and vice versa.
If someone is patient or rich then someone is either not patient or not quiet.
Everyone who is brave or not strong is ... | Alice is not tall. | contradiction | ((?[X]:((creative(X)&~old(X))))=>(?[X]:((~brave(X)|funny(X)))))&
(![X]:(~rich(X)=>(~happy(X)&brave(X))))&
(![X]:(~humble(X)<=>(~happy(X)<~>brave(X))))&
((?[X]:((patient(X)|rich(X))))=>(?[X]:((~patient(X)<~>~quiet(X)))))&
(![X]:((brave(X)|~strong(X))<=>(~rich(X)<~>~patient(X))))&
(((~patient(mary)|wise(mary)))<=>(?[X]:(... | ~tall(alice) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6640018105771930799221099
% SZS output start Proof for 6640018105771930799221099
14. ! [X0] : ((patient(X0) | quiet(X0)) <=> ~quiet(X0)) [input p13]
16. ! [X0] : ((~quiet(X0) & strong(X0)) <=> (~strong(X0) & ~tall(X0))) [input p15]
25. ~tall(alice) [input hypothesis]
67. ! [X0] : (((patie... | 0 |
If someone is old or funny then mary is either not quiet or not wise and vice versa. Everyone who is either not strong or not tall is curious. If someone is not wise then someone is either not kind or quiet. Everyone who is both not patient and not humble is quiet. Everyone who is not kind is rich. Everyone who is eith... | Fred is not curious. | neutral | ((?[X]:((old(X)|funny(X))))<=>((~quiet(mary)<~>~wise(mary))))&
(![X]:((~strong(X)<~>~tall(X))=>curious(X)))&
((?[X]:(~wise(X)))=>(?[X]:((~kind(X)<~>quiet(X)))))&
(![X]:((~patient(X)&~humble(X))=>quiet(X)))&
(![X]:(~kind(X)=>rich(X)))&
(![X]:((~patient(X)<~>~strong(X))<=>(~wise(X)<~>~curious(X))))&
(((calm(paul)&~creati... | ~curious(fred) | [] | null | 0 |
If someone is either not kind or generous then paul is not strong. Everyone who is wise is not wise or not rich and vice versa. Everyone who is not curious is both quiet and not tall and vice versa. Everyone who is both not funny and not wise is wise or not curious. If someone is not funny or kind then someone is eithe... | Susan is calm. | contradiction | ((?[X]:((~kind(X)<~>generous(X))))=>(~strong(paul)))&
(![X]:(wise(X)<=>(~wise(X)|~rich(X))))&
(![X]:(~curious(X)<=>(quiet(X)&~tall(X))))&
(![X]:((~funny(X)&~wise(X))=>(wise(X)|~curious(X))))&
((?[X]:((~funny(X)|kind(X))))<=>(?[X]:((~strong(X)<~>quiet(X)))))&
(![X]:((~generous(X)&~patient(X))=>(brave(X)<~>~humble(X))))&... | calm(susan) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 497096868014719013724519
% SZS output start Proof for 497096868014719013724519
2. ! [X0] : (wise(X0) <=> (~rich(X0) | ~wise(X0))) [input p1]
7. ! [X0] : ((~calm(X0) & ~patient(X0)) <=> (~curious(X0) | wise(X0))) [input p6]
23. calm(susan) [input hypothesis]
40. ! [X0] : ((wise(X0) | (rich... | 0 |
Everyone who is both funny and not wise is either strong or not strong.
If someone is both strong and not wise then john is not old or not creative.
Everyone who is either brave or not old is either happy or not wise and vice versa.
If someone is either calm or tall then someone is both not wise and not patient and vic... | Susan is patient. | contradiction | (![X]:((funny(X)&~wise(X))=>(strong(X)<~>~strong(X))))&
((?[X]:((strong(X)&~wise(X))))=>((~old(john)|~creative(john))))&
(![X]:((brave(X)<~>~old(X))<=>(happy(X)<~>~wise(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:((~wise(X)&~patient(X)))))&
(((~patient(lucy)&strong(lucy)))<=>((brave(fred)<~>creative(fred))))&
(![X]:((... | patient(susan) | [
"p8",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 306318764362451424575908
% SZS output start Proof for 306318764362451424575908
9. ! [X0] : ((~quiet(X0) | happy(X0)) => (rich(X0) & curious(X0))) [input p8]
15. ! [X0] : ((quiet(X0) & patient(X0)) => (~quiet(X0) & ~patient(X0))) [input p14]
24. ~curious(susan) & old(susan) [input p23]
25.... | 0 |
Everyone who is kind is humble and vice versa. If someone is both quiet and patient then someone is both not generous and creative and vice versa. If someone is both not calm and rich then mary is not tall and vice versa. If susan is quiet or not calm then paul is creative and vice versa. If someone is both not tall an... | Paul is creative. | entailment | (![X]:(kind(X)<=>humble(X)))&
((?[X]:((quiet(X)&patient(X))))<=>(?[X]:((~generous(X)&creative(X)))))&
((?[X]:((~calm(X)&rich(X))))<=>(~tall(mary)))&
(((quiet(susan)|~calm(susan)))<=>(creative(paul)))&
((?[X]:((~tall(X)&generous(X))))<=>(?[X]:((strong(X)<~>~tall(X)))))&
(![X]:((rich(X)&generous(X))<=>(~funny(X)|patient(... | creative(paul) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7895915219309912876764805
% SZS output start Proof for 7895915219309912876764805
4. (~calm(susan) | quiet(susan)) <=> creative(paul) [input p3]
22. ~calm(susan) & ~creative(susan) [input p21]
25. ~creative(paul) [input hypothesis]
44. ((~calm(susan) | quiet(susan)) | ~creative(paul)) & (c... | 0 |
Everyone who is creative is not tall and vice versa. Everyone who is not wise or humble is not kind. If alice is both wise and not patient then someone is not rich and vice versa. If alice is either wise or calm then lucy is both not calm and patient. Everyone who is both rich and calm is not tall and vice versa. Every... | Lucy is strong. | neutral | (![X]:(creative(X)<=>~tall(X)))&
(![X]:((~wise(X)|humble(X))=>~kind(X)))&
(((wise(alice)&~patient(alice)))<=>(?[X]:(~rich(X))))&
(((wise(alice)<~>calm(alice)))=>((~calm(lucy)&patient(lucy))))&
(![X]:((rich(X)&calm(X))<=>~tall(X)))&
(![X]:((creative(X)<~>curious(X))=>(generous(X)<~>wise(X))))&
(![X]:((generous(X)<~>~pat... | strong(lucy) | [] | null | 0 |
If john is both happy and not funny then someone is not old or not tall and vice versa.
Everyone who is either not humble or funny is either not happy or not tall and vice versa.
If john is either not strong or not generous then fred is both humble and not creative.
If alice is either not kind or curious then alice is ... | Mary is generous. | entailment | (((happy(john)&~funny(john)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:((~humble(X)<~>funny(X))<=>(~happy(X)<~>~tall(X))))&
(((~strong(john)<~>~generous(john)))=>((humble(fred)&~creative(fred))))&
(((~kind(alice)<~>curious(alice)))=>(~calm(alice)))&
((rich(alice))<=>(?[X]:((humble(X)<~>tall(X)))))&
(![X]:((wise(X)&~kind(X... | generous(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 63436678045380538424913
% SZS output start Proof for 63436678045380538424913
20. ~rich(mary) & generous(mary) [input p19]
25. ~generous(mary) [input hypothesis]
144. generous(mary) [cnf transformation 20]
153. ~generous(mary) [cnf transformation 25]
379. $false [subsumption resolution 153... | 0 |
Everyone who is either not calm or not quiet is either not generous or funny.
Everyone who is not old or not kind is not calm.
If someone is both brave and generous then someone is both funny and patient and vice versa.
Everyone who is not calm or not humble is both strong and not old.
If someone is kind then someone i... | Lucy is brave. | contradiction | (![X]:((~calm(X)<~>~quiet(X))=>(~generous(X)<~>funny(X))))&
(![X]:((~old(X)|~kind(X))=>~calm(X)))&
((?[X]:((brave(X)&generous(X))))<=>(?[X]:((funny(X)&patient(X)))))&
(![X]:((~calm(X)|~humble(X))=>(strong(X)&~old(X))))&
((?[X]:(kind(X)))=>(?[X]:((~old(X)|humble(X)))))&
(((rich(mary)<~>happy(mary)))<=>(?[X]:(tall(X))))&... | brave(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p9",
"p11",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1447263577992351952887976
% SZS output start Proof for 1447263577992351952887976
2. ! [X0] : ((~kind(X0) | ~old(X0)) => ~calm(X0)) [input p1]
4. ! [X0] : ((~humble(X0) | ~calm(X0)) => (~old(X0) & strong(X0))) [input p3]
6. (rich(mary) <~> happy(mary)) <=> ? [X0] : tall(X0) [input p5]
7. !... | 0 |
Everyone who is calm or generous is both not funny and not curious and vice versa.
Everyone who is both not rich and not generous is both not strong and not old.
Everyone who is kind is either curious or generous and vice versa.
If alice is either not old or not quiet then someone is generous.
Everyone who is both funn... | John is not curious. | entailment | (![X]:((calm(X)|generous(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~rich(X)&~generous(X))=>(~strong(X)&~old(X))))&
(![X]:(kind(X)<=>(curious(X)<~>generous(X))))&
(((~old(alice)<~>~quiet(alice)))=>(?[X]:(generous(X))))&
(![X]:((funny(X)&~tall(X))<=>~funny(X)))&
(![X]:((~patient(X)&calm(X))=>~funny(X)))&
(((~kind(susan)&k... | ~curious(john) | [
"p0",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5011899385190365257213554
% SZS output start Proof for 5011899385190365257213554
1. ! [X0] : ((generous(X0) | calm(X0)) <=> (~curious(X0) & ~funny(X0))) [input p0]
5. ! [X0] : ((~tall(X0) & funny(X0)) <=> ~funny(X0)) [input p4]
8. ! [X0] : ((generous(X0) <~> ~calm(X0)) <=> (~curious(X0) &... | 0 |
If someone is both not humble and tall then susan is either not quiet or not calm. If someone is either calm or rich then john is not curious and vice versa. If someone is both not brave and curious then john is patient or funny. Everyone who is not strong or not kind is not rich and vice versa. Everyone who is both ha... | John is old. | contradiction | ((?[X]:((~humble(X)&tall(X))))=>((~quiet(susan)<~>~calm(susan))))&
((?[X]:((calm(X)<~>rich(X))))<=>(~curious(john)))&
((?[X]:((~brave(X)&curious(X))))=>((patient(john)|funny(john))))&
(![X]:((~strong(X)|~kind(X))<=>~rich(X)))&
(![X]:((happy(X)&~old(X))<=>~calm(X)))&
(![X]:(happy(X)<=>(~creative(X)&brave(X))))&
(((~kind... | old(john) | [
"p4",
"p5",
"p7",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8578953775281652085528311
% SZS output start Proof for 8578953775281652085528311
5. ! [X0] : ((~old(X0) & happy(X0)) <=> ~calm(X0)) [input p4]
6. ! [X0] : (happy(X0) <=> (brave(X0) & ~creative(X0))) [input p5]
8. ! [X0] : ((~calm(X0) | creative(X0)) <=> (brave(X0) | funny(X0))) [input p7]... | 0 |
If someone is either not curious or rich then lucy is both rich and quiet and vice versa.
Everyone who is both not strong and creative is either not curious or not brave.
Everyone who is not brave or not tall is both not old and rich and vice versa.
Everyone who is both creative and kind is not tall and vice versa.
Eve... | Alice is funny. | entailment | ((?[X]:((~curious(X)<~>rich(X))))<=>((rich(lucy)&quiet(lucy))))&
(![X]:((~strong(X)&creative(X))=>(~curious(X)<~>~brave(X))))&
(![X]:((~brave(X)|~tall(X))<=>(~old(X)&rich(X))))&
(![X]:((creative(X)&kind(X))<=>~tall(X)))&
(![X]:((~quiet(X)<~>~happy(X))<=>(~funny(X)|generous(X))))&
(((~tall(lucy)&~curious(lucy)))=>(?[X]:... | funny(alice) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 509542660181567355479294
% SZS output start Proof for 509542660181567355479294
10. ! [X0] : (~funny(X0) <=> (quiet(X0) & ~wise(X0))) [input p9]
11. ! [X0] : (~funny(X0) => (wise(X0) & ~strong(X0))) [input p10]
24. ~funny(alice) [input hypothesis]
31. ! [X0] : ((wise(X0) & ~strong(X0)) | f... | 0 |
Everyone who is both tall and creative is patient and vice versa.
Everyone who is not patient is not wise or patient and vice versa.
If someone is either not wise or brave then mary is not curious or not strong.
Everyone who is either not kind or generous is either not strong or wise and vice versa.
Everyone who is eit... | Lucy is not strong. | contradiction | (![X]:((tall(X)&creative(X))<=>patient(X)))&
(![X]:(~patient(X)<=>(~wise(X)|patient(X))))&
((?[X]:((~wise(X)<~>brave(X))))=>((~curious(mary)|~strong(mary))))&
(![X]:((~kind(X)<~>generous(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((~kind(X)<~>~strong(X))<=>(~patient(X)&~quiet(X))))&
((?[X]:((kind(X)&~wise(X))))<=>(~quiet(pa... | ~strong(lucy) | [
"p1",
"p3",
"p6",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3813705980332797815239166
% SZS output start Proof for 3813705980332797815239166
2. ! [X0] : (~patient(X0) <=> (patient(X0) | ~wise(X0))) [input p1]
4. ! [X0] : ((~kind(X0) <~> generous(X0)) <=> (~strong(X0) <~> wise(X0))) [input p3]
7. ! [X0] : (funny(X0) <=> (creative(X0) | ~patient(X0)... | 0 |
Everyone who is not brave is humble or tall. If lucy is strong or old then someone is wise and vice versa. Everyone who is not wise or not curious is humble or not quiet and vice versa. If susan is old then mary is generous or not strong. Everyone who is not funny is both not tall and not happy and vice versa. Everyone... | Fred is creative. | contradiction | (![X]:(~brave(X)=>(humble(X)|tall(X))))&
(((strong(lucy)|old(lucy)))<=>(?[X]:(wise(X))))&
(![X]:((~wise(X)|~curious(X))<=>(humble(X)|~quiet(X))))&
((old(susan))=>((generous(mary)|~strong(mary))))&
(![X]:(~funny(X)<=>(~tall(X)&~happy(X))))&
(![X]:((~creative(X)<~>happy(X))=>(brave(X)&calm(X))))&
(![X]:((wise(X)|~generou... | creative(fred) | [
"p4",
"p5",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5316770981296447659839693
% SZS output start Proof for 5316770981296447659839693
5. ! [X0] : (~funny(X0) <=> (~happy(X0) & ~tall(X0))) [input p4]
6. ! [X0] : ((~creative(X0) <~> happy(X0)) => (calm(X0) & brave(X0))) [input p5]
8. ! [X0] : ((happy(X0) | kind(X0)) <=> ~calm(X0)) [input p7]
... | 0 |
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