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 old is either rich or funny and vice versa.
If paul is funny then someone is rich or not rich and vice versa.
Everyone who is either strong or not strong is both not old and generous and vice versa.
Everyone who is either not funny or not calm is either not tall or generous and vice versa.
Everyone who ... | Lucy is not calm. | contradiction | (![X]:(old(X)<=>(rich(X)<~>funny(X))))&
((funny(paul))<=>(?[X]:((rich(X)|~rich(X)))))&
(![X]:((strong(X)<~>~strong(X))<=>(~old(X)&generous(X))))&
(![X]:((~funny(X)<~>~calm(X))<=>(~tall(X)<~>generous(X))))&
(![X]:(~strong(X)=>(~old(X)|strong(X))))&
(![X]:((~wise(X)<~>old(X))=>(strong(X)|~calm(X))))&
(![X]:(~wise(X)=>(~f... | ~calm(lucy) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 843732643103702743147404
% SZS output start Proof for 843732643103702743147404
10. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> brave(X0)) [input p9]
14. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (brave(X0) | ~wise(X0))) [input p13]
20. ~calm(lucy) [input hypothesis]
39. ! [X0] : (((~brave(X0) &... | 0 |
Everyone who is both patient and not funny is either calm or kind.
Everyone who is not funny or funny is both quiet and not brave.
If someone is tall then lucy is either not tall or patient.
If john is both not curious and not happy then someone is not calm or strong and vice versa.
Everyone who is either not tall or p... | Fred is humble. | entailment | (![X]:((patient(X)&~funny(X))=>(calm(X)<~>kind(X))))&
(![X]:((~funny(X)|funny(X))=>(quiet(X)&~brave(X))))&
((?[X]:(tall(X)))=>((~tall(lucy)<~>patient(lucy))))&
(((~curious(john)&~happy(john)))<=>(?[X]:((~calm(X)|strong(X)))))&
(![X]:((~tall(X)<~>patient(X))=>old(X)))&
(![X]:(kind(X)<=>(curious(X)|rich(X))))&
((?[X]:((~... | humble(fred) | [
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3611313244139379776411269
% SZS output start Proof for 3611313244139379776411269
4. (~happy(john) & ~curious(john)) <=> ? [X0] : (strong(X0) | ~calm(X0)) [input p3]
8. ! [X0] : ((~kind(X0) | ~strong(X0)) => humble(X0)) [input p7]
10. ! [X0] : (~happy(X0) => (~old(X0) & old(X0))) [input p9... | 0 |
Everyone who is kind or not generous is not kind or not old and vice versa.
If someone is not creative then fred is not curious.
If paul is rich or not creative then someone is either not tall or not creative.
If alice is not strong or not humble then alice is rich or not curious.
If someone is wise or generous then jo... | Susan is happy. | neutral | (![X]:((kind(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:(~creative(X)))=>(~curious(fred)))&
(((rich(paul)|~creative(paul)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(((~strong(alice)|~humble(alice)))=>((rich(alice)|~curious(alice))))&
((?[X]:((wise(X)|generous(X))))<=>((~humble(john)<~>rich(john))))&
(![X]:((creative... | happy(susan) | [] | null | 0 |
If lucy is not curious then someone is either humble or not wise and vice versa.
If someone is both not generous and rich then susan is both humble and not creative.
If someone is not calm then paul is both happy and not kind and vice versa.
If someone is not curious or wise then alice is generous or not creative.
If m... | Lucy is not humble. | contradiction | ((~curious(lucy))<=>(?[X]:((humble(X)<~>~wise(X)))))&
((?[X]:((~generous(X)&rich(X))))=>((humble(susan)&~creative(susan))))&
((?[X]:(~calm(X)))<=>((happy(paul)&~kind(paul))))&
((?[X]:((~curious(X)|wise(X))))=>((generous(alice)|~creative(alice))))&
(((quiet(mary)&~funny(mary)))=>((~patient(paul)|~generous(paul))))&
(![X... | ~humble(lucy) | [
"p0",
"p5",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 125018200516268144624826
% SZS output start Proof for 125018200516268144624826
1. ~curious(lucy) <=> ? [X0] : (humble(X0) <~> ~wise(X0)) [input p0]
6. ! [X0] : ((~curious(X0) | wise(X0)) => ~strong(X0)) [input p5]
13. ! [X0] : (strong(X0) <=> (~tall(X0) | ~happy(X0))) [input p12]
24. old(... | 0 |
Everyone who is not kind is either not kind or generous and vice versa.
If someone is either not generous or not tall then susan is curious and vice versa.
Everyone who is old or not happy is both not creative and not wise.
If someone is not kind then someone is not old or quiet.
Everyone who is not tall is both not ha... | Susan is generous. | contradiction | (![X]:(~kind(X)<=>(~kind(X)<~>generous(X))))&
((?[X]:((~generous(X)<~>~tall(X))))<=>(curious(susan)))&
(![X]:((old(X)|~happy(X))=>(~creative(X)&~wise(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~old(X)|quiet(X)))))&
(![X]:(~tall(X)=>(~happy(X)&patient(X))))&
((?[X]:(tall(X)))=>(quiet(lucy)))&
(![X]:((~generous(X)|quiet(X))<=>(~... | generous(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8008437956445057685384299
% SZS output start Proof for 8008437956445057685384299
1. ! [X0] : (~kind(X0) <=> (~kind(X0) <~> generous(X0))) [input p0]
24. generous(susan) [input hypothesis]
43. ! [X0] : ((~kind(X0) | ((~kind(X0) | ~generous(X0)) & (generous(X0) | kind(X0)))) & (((~generous(... | 0 |
Everyone who is both rich and not brave is both not happy and happy and vice versa. If someone is wise or not creative then susan is either creative or brave. Everyone who is not happy or happy is not kind and vice versa. If someone is either kind or humble then mary is both not rich and not wise. Everyone who is not h... | John is old. | neutral | (![X]:((rich(X)&~brave(X))<=>(~happy(X)&happy(X))))&
((?[X]:((wise(X)|~creative(X))))=>((creative(susan)<~>brave(susan))))&
(![X]:((~happy(X)|happy(X))<=>~kind(X)))&
((?[X]:((kind(X)<~>humble(X))))=>((~rich(mary)&~wise(mary))))&
(![X]:((~happy(X)|~patient(X))<=>(happy(X)|~calm(X))))&
(((brave(alice)<~>happy(alice)))<=>... | old(john) | [] | null | 0 |
If mary is both not rich and not humble then lucy is either wise or patient and vice versa.
Everyone who is tall or not humble is not generous.
Everyone who is either not generous or old is both not kind and patient.
Everyone who is both not patient and not quiet is funny or not strong and vice versa.
Everyone who is b... | John is not happy. | contradiction | (((~rich(mary)&~humble(mary)))<=>((wise(lucy)<~>patient(lucy))))&
(![X]:((tall(X)|~humble(X))=>~generous(X)))&
(![X]:((~generous(X)<~>old(X))=>(~kind(X)&patient(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&~quiet(X))=>(tall(X)|kind(X))))&
(![X]:((~happy(X)<~>wise(X))=>(wise(X)&bra... | ~happy(john) | [
"p1",
"p2",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5978407890386932974260553
% SZS output start Proof for 5978407890386932974260553
2. ! [X0] : ((~humble(X0) | tall(X0)) => ~generous(X0)) [input p1]
3. ! [X0] : ((~generous(X0) <~> old(X0)) => (patient(X0) & ~kind(X0))) [input p2]
10. ! [X0] : ((quiet(X0) <~> ~kind(X0)) <=> (~kind(X0) | ol... | 0 |
Everyone who is wise or old is both not kind and not creative.
Everyone who is both not kind and not old is either quiet or not funny.
Everyone who is either tall or old is both tall and not creative.
Everyone who is not generous is not creative.
If someone is quiet then someone is generous.
Everyone who is either not ... | Alice is brave. | neutral | (![X]:((wise(X)|old(X))=>(~kind(X)&~creative(X))))&
(![X]:((~kind(X)&~old(X))=>(quiet(X)<~>~funny(X))))&
(![X]:((tall(X)<~>old(X))=>(tall(X)&~creative(X))))&
(![X]:(~generous(X)=>~creative(X)))&
((?[X]:(quiet(X)))=>(?[X]:(generous(X))))&
(![X]:((~rich(X)<~>humble(X))<=>(tall(X)|~old(X))))&
(((kind(paul)|~patient(paul))... | brave(alice) | [] | null | 0 |
Everyone who is either happy or patient is not creative and vice versa.
Everyone who is both tall and not patient is not humble.
Everyone who is both not strong and not funny is not rich and vice versa.
If mary is happy then someone is both not quiet and patient.
If someone is either old or quiet then susan is not wise... | Susan is not generous. | contradiction | (![X]:((happy(X)<~>patient(X))<=>~creative(X)))&
(![X]:((tall(X)&~patient(X))=>~humble(X)))&
(![X]:((~strong(X)&~funny(X))<=>~rich(X)))&
((happy(mary))=>(?[X]:((~quiet(X)&patient(X)))))&
((?[X]:((old(X)<~>quiet(X))))<=>(~wise(susan)))&
(![X]:(quiet(X)=>strong(X)))&
(![X]:((humble(X)|~humble(X))=>creative(X)))&
(![X]:((... | ~generous(susan) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6999172103526793123559632
% SZS output start Proof for 6999172103526793123559632
5. ? [X0] : (old(X0) <~> quiet(X0)) <=> ~wise(susan) [input p4]
6. ! [X0] : (quiet(X0) => strong(X0)) [input p5]
7. ! [X0] : ((~humble(X0) | humble(X0)) => creative(X0)) [input p6]
8. ! [X0] : ((~curious(X0) ... | 0 |
Everyone who is both brave and not quiet is not wise or not patient and vice versa.
If susan is not tall or humble then john is both rich and not brave.
Everyone who is both not creative and funny is either not strong or strong and vice versa.
Everyone who is not curious is rich.
If john is tall or patient then someone... | Mary is not calm. | neutral | (![X]:((brave(X)&~quiet(X))<=>(~wise(X)|~patient(X))))&
(((~tall(susan)|humble(susan)))=>((rich(john)&~brave(john))))&
(![X]:((~creative(X)&funny(X))<=>(~strong(X)<~>strong(X))))&
(![X]:(~curious(X)=>rich(X)))&
(((tall(john)|patient(john)))=>(?[X]:((patient(X)|~wise(X)))))&
((?[X]:(~curious(X)))=>((humble(susan)&genero... | ~calm(mary) | [] | null | 0 |
If someone is both not rich and not wise then someone is either calm or curious.
Everyone who is calm or not creative is humble or not humble.
Everyone who is not rich or quiet is not patient and vice versa.
Everyone who is both not generous and not old is not funny and vice versa.
Everyone who is either happy or not k... | Paul is curious. | entailment | ((?[X]:((~rich(X)&~wise(X))))=>(?[X]:((calm(X)<~>curious(X)))))&
(![X]:((calm(X)|~creative(X))=>(humble(X)|~humble(X))))&
(![X]:((~rich(X)|quiet(X))<=>~patient(X)))&
(![X]:((~generous(X)&~old(X))<=>~funny(X)))&
(![X]:((happy(X)<~>~kind(X))=>(~wise(X)|strong(X))))&
((?[X]:((~calm(X)<~>~rich(X))))<=>(?[X]:((kind(X)|~kind... | curious(paul) | [
"p3",
"p6",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 46338706613991801429116
% SZS output start Proof for 46338706613991801429116
4. ! [X0] : ((~old(X0) & ~generous(X0)) <=> ~funny(X0)) [input p3]
7. ! [X0] : ((curious(X0) <~> ~old(X0)) <=> (humble(X0) & creative(X0))) [input p6]
12. ! [X0] : ((humble(X0) <~> curious(X0)) => ~humble(X0)) [i... | 0 |
Everyone who is either kind or strong is either rich or not humble and vice versa.
If alice is not funny then mary is brave or curious and vice versa.
Everyone who is not happy or not calm is both not old and not creative.
If mary is kind or rich then alice is both quiet and not funny and vice versa.
Everyone who is ei... | Lucy is humble. | neutral | (![X]:((kind(X)<~>strong(X))<=>(rich(X)<~>~humble(X))))&
((~funny(alice))<=>((brave(mary)|curious(mary))))&
(![X]:((~happy(X)|~calm(X))=>(~old(X)&~creative(X))))&
(((kind(mary)|rich(mary)))<=>((quiet(alice)&~funny(alice))))&
(![X]:((rich(X)<~>~generous(X))=>(patient(X)&~happy(X))))&
(![X]:(strong(X)=>(~calm(X)&kind(X))... | humble(lucy) | [] | null | 0 |
Everyone who is both strong and calm is creative. If lucy is kind then someone is either not strong or not patient and vice versa. Everyone who is not generous or not rich is not rich or not wise. If susan is either curious or not old then someone is not rich or not humble and vice versa. If john is both not tall and n... | Alice is not brave. | neutral | (![X]:((strong(X)&calm(X))=>creative(X)))&
((kind(lucy))<=>(?[X]:((~strong(X)<~>~patient(X)))))&
(![X]:((~generous(X)|~rich(X))=>(~rich(X)|~wise(X))))&
(((curious(susan)<~>~old(susan)))<=>(?[X]:((~rich(X)|~humble(X)))))&
(((~tall(john)&~creative(john)))<=>((~old(susan)&~funny(susan))))&
(![X]:((tall(X)&wise(X))<=>(gene... | ~brave(alice) | [] | null | 0 |
If someone is either not wise or not creative then someone is both happy and not wise and vice versa.
If someone is either kind or old then someone is either not patient or kind and vice versa.
Everyone who is both not patient and calm is either curious or old.
If someone is strong then someone is not strong or not tal... | Fred is not old. | contradiction | ((?[X]:((~wise(X)<~>~creative(X))))<=>(?[X]:((happy(X)&~wise(X)))))&
((?[X]:((kind(X)<~>old(X))))<=>(?[X]:((~patient(X)<~>kind(X)))))&
(![X]:((~patient(X)&calm(X))=>(curious(X)<~>old(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~strong(X)|~tall(X)))))&
(((patient(lucy)<~>humble(lucy)))<=>(?[X]:((~wise(X)<~>~happy(X)))))&
((qui... | ~old(fred) | [
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8516135301803405655282075
% SZS output start Proof for 8516135301803405655282075
9. ! [X0] : ((old(X0) | ~calm(X0)) <=> (rich(X0) | humble(X0))) [input p8]
10. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~rich(X0) & funny(X0))) [input p9]
11. ! [X0] : ((brave(X0) | ~humble(X0)) => rich(X0)) ... | 0 |
Everyone who is either not curious or not creative is not curious or wise. Everyone who is not strong is both calm and rich and vice versa. Everyone who is old or not old is either strong or creative and vice versa. Everyone who is either not generous or rich is either not strong or not old. If someone is either not cr... | Mary is curious. | neutral | (![X]:((~curious(X)<~>~creative(X))=>(~curious(X)|wise(X))))&
(![X]:(~strong(X)<=>(calm(X)&rich(X))))&
(![X]:((old(X)|~old(X))<=>(strong(X)<~>creative(X))))&
(![X]:((~generous(X)<~>rich(X))=>(~strong(X)<~>~old(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(?[X]:((kind(X)<~>~wise(X)))))&
(![X]:((wise(X)<~>~funny(X))=>(cr... | curious(mary) | [] | null | 0 |
If paul is both not kind and happy then someone is both not patient and wise. If susan is not rich then someone is not kind and vice versa. Everyone who is wise or not wise is both not wise and generous. Everyone who is either humble or quiet is both not rich and not tall and vice versa. Everyone who is not creative is... | Mary is calm. | neutral | (((~kind(paul)&happy(paul)))=>(?[X]:((~patient(X)&wise(X)))))&
((~rich(susan))<=>(?[X]:(~kind(X))))&
(![X]:((wise(X)|~wise(X))=>(~wise(X)&generous(X))))&
(![X]:((humble(X)<~>quiet(X))<=>(~rich(X)&~tall(X))))&
(![X]:(~creative(X)<=>~wise(X)))&
(((~wise(alice)|~patient(alice)))=>(?[X]:((~wise(X)<~>wise(X)))))&
(![X]:(str... | calm(mary) | [] | null | 0 |
If susan is both not creative and happy then susan is both not rich and not brave and vice versa. Everyone who is either not creative or humble is either not rich or quiet. Everyone who is both rich and not rich is tall or kind and vice versa. If alice is both not kind and not patient then someone is kind. If someone i... | Lucy is brave. | neutral | (((~creative(susan)&happy(susan)))<=>((~rich(susan)&~brave(susan))))&
(![X]:((~creative(X)<~>humble(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((rich(X)&~rich(X))<=>(tall(X)|kind(X))))&
(((~kind(alice)&~patient(alice)))=>(?[X]:(kind(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~happy(fred)|~strong(fred))))&
(((brave(mary)<~>~pa... | brave(lucy) | [] | null | 0 |
Everyone who is either not wise or brave is not tall or not patient. Everyone who is both happy and humble is not strong or creative. Everyone who is both not rich and happy is not tall. Everyone who is both not humble and not old is old and vice versa. Everyone who is not old or brave is either generous or not creativ... | Susan is strong. | entailment | (![X]:((~wise(X)<~>brave(X))=>(~tall(X)|~patient(X))))&
(![X]:((happy(X)&humble(X))=>(~strong(X)|creative(X))))&
(![X]:((~rich(X)&happy(X))=>~tall(X)))&
(![X]:((~humble(X)&~old(X))<=>old(X)))&
(![X]:((~old(X)|brave(X))<=>(generous(X)<~>~creative(X))))&
(![X]:((generous(X)&~brave(X))<=>(funny(X)<~>kind(X))))&
(![X]:((cu... | strong(susan) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6874939724426581635187850
% SZS output start Proof for 6874939724426581635187850
4. ! [X0] : ((~old(X0) & ~humble(X0)) <=> old(X0)) [input p3]
11. ! [X0] : ((~strong(X0) | rich(X0)) => (~humble(X0) | strong(X0))) [input p10]
24. ~strong(susan) [input hypothesis]
38. ! [X0] : ((~humble(X0)... | 0 |
Everyone who is not creative or wise is not curious. Everyone who is tall or rich is both not calm and not patient. Everyone who is either not creative or old is either patient or not humble and vice versa. Everyone who is both generous and not kind is either creative or happy. Everyone who is either strong or not tall... | Lucy is not tall. | entailment | (![X]:((~creative(X)|wise(X))=>~curious(X)))&
(![X]:((tall(X)|rich(X))=>(~calm(X)&~patient(X))))&
(![X]:((~creative(X)<~>old(X))<=>(patient(X)<~>~humble(X))))&
(![X]:((generous(X)&~kind(X))=>(creative(X)<~>happy(X))))&
(![X]:((strong(X)<~>~tall(X))<=>~happy(X)))&
(![X]:((happy(X)&creative(X))=>(curious(X)|~tall(X))))&
... | ~tall(lucy) | [
"p1",
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1412089731545729766223954
% SZS output start Proof for 1412089731545729766223954
2. ! [X0] : ((rich(X0) | tall(X0)) => (~patient(X0) & ~calm(X0))) [input p1]
3. ! [X0] : ((~creative(X0) <~> old(X0)) <=> (patient(X0) <~> ~humble(X0))) [input p2]
10. ? [X0] : (~kind(X0) | ~patient(X0)) => ~... | 0 |
If paul is funny then someone is creative.
If someone is generous then john is wise or brave and vice versa.
If someone is not rich or patient then someone is either not happy or not quiet and vice versa.
Everyone who is either funny or not strong is either not wise or creative.
Everyone who is humble or kind is either... | Lucy is not happy. | entailment | ((funny(paul))=>(?[X]:(creative(X))))&
((?[X]:(generous(X)))<=>((wise(john)|brave(john))))&
((?[X]:((~rich(X)|patient(X))))<=>(?[X]:((~happy(X)<~>~quiet(X)))))&
(![X]:((funny(X)<~>~strong(X))=>(~wise(X)<~>creative(X))))&
(![X]:((humble(X)|kind(X))=>(quiet(X)<~>~kind(X))))&
((?[X]:((~rich(X)&strong(X))))<=>((~kind(susan... | ~happy(lucy) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7886633063322707629573948
% SZS output start Proof for 7886633063322707629573948
8. (~calm(paul) & wise(paul)) <=> ? [X0] : (~rich(X0) | happy(X0)) [input p7]
17. calm(paul) [input p16]
25. happy(lucy) [input hypothesis]
63. ((~calm(paul) & wise(paul)) | ! [X0] : (rich(X0) & ~happy(X0))) ... | 0 |
Everyone who is both not strong and not old is either tall or funny and vice versa.
If mary is both not rich and kind then someone is not tall or not kind.
Everyone who is tall is either generous or wise.
Everyone who is either not humble or not rich is happy or funny and vice versa.
If someone is either old or not wis... | Mary is creative. | neutral | (![X]:((~strong(X)&~old(X))<=>(tall(X)<~>funny(X))))&
(((~rich(mary)&kind(mary)))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:(tall(X)=>(generous(X)<~>wise(X))))&
(![X]:((~humble(X)<~>~rich(X))<=>(happy(X)|funny(X))))&
((?[X]:((old(X)<~>~wise(X))))=>((creative(paul)|wise(paul))))&
(![X]:(generous(X)=>(~strong(X)&creative(X))... | creative(mary) | [] | null | 0 |
Everyone who is either not quiet or not generous is either not strong or calm. Everyone who is both old and not generous is either old or humble. If someone is both tall and not wise then someone is not humble or not calm and vice versa. If paul is not calm then someone is brave. Everyone who is either not calm or not ... | Alice is not quiet. | neutral | (![X]:((~quiet(X)<~>~generous(X))=>(~strong(X)<~>calm(X))))&
(![X]:((old(X)&~generous(X))=>(old(X)<~>humble(X))))&
((?[X]:((tall(X)&~wise(X))))<=>(?[X]:((~humble(X)|~calm(X)))))&
((~calm(paul))=>(?[X]:(brave(X))))&
(![X]:((~calm(X)<~>~happy(X))=>(old(X)<~>calm(X))))&
(![X]:(~old(X)<=>(patient(X)<~>curious(X))))&
(((~cr... | ~quiet(alice) | [] | null | 0 |
If someone is both happy and funny then susan is kind and vice versa. If susan is not tall then john is both curious and calm and vice versa. Everyone who is both kind and not creative is either generous or humble and vice versa. Everyone who is not creative is both not curious and wise and vice versa. Everyone who is ... | Mary is not strong. | entailment | ((?[X]:((happy(X)&funny(X))))<=>(kind(susan)))&
((~tall(susan))<=>((curious(john)&calm(john))))&
(![X]:((kind(X)&~creative(X))<=>(generous(X)<~>humble(X))))&
(![X]:(~creative(X)<=>(~curious(X)&wise(X))))&
(![X]:((~rich(X)|~generous(X))<=>(happy(X)|~happy(X))))&
(![X]:((wise(X)<~>old(X))=>(~old(X)<~>generous(X))))&
((cu... | ~strong(mary) | [
"p2",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7845869274445433908694772
% SZS output start Proof for 7845869274445433908694772
3. ! [X0] : ((~creative(X0) & kind(X0)) <=> (generous(X0) <~> humble(X0))) [input p2]
8. (creative(mary) & ~strong(mary)) <=> ? [X0] : (~generous(X0) <~> humble(X0)) [input p7]
23. ? [X0] : creative(X0) [inpu... | 0 |
Everyone who is either not brave or funny is not quiet and vice versa.
Everyone who is not happy or kind is either creative or happy.
Everyone who is either curious or brave is not old or not generous and vice versa.
Everyone who is kind or humble is not curious and vice versa.
If someone is not curious then mary is bo... | John is calm. | neutral | (![X]:((~brave(X)<~>funny(X))<=>~quiet(X)))&
(![X]:((~happy(X)|kind(X))=>(creative(X)<~>happy(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~old(X)|~generous(X))))&
(![X]:((kind(X)|humble(X))<=>~curious(X)))&
((?[X]:(~curious(X)))<=>((creative(mary)&kind(mary))))&
((patient(paul))<=>(humble(john)))&
(![X]:((~funny(X)<~>~bra... | calm(john) | [] | null | 0 |
Everyone who is tall is both kind and not brave.
If someone is both quiet and happy then fred is both funny and not rich.
Everyone who is both old and not kind is either wise or rich.
If someone is both happy and not humble then someone is strong or old and vice versa.
If someone is calm then mary is both funny and not... | Mary is not humble. | neutral | (![X]:(tall(X)=>(kind(X)&~brave(X))))&
((?[X]:((quiet(X)&happy(X))))=>((funny(fred)&~rich(fred))))&
(![X]:((old(X)&~kind(X))=>(wise(X)<~>rich(X))))&
((?[X]:((happy(X)&~humble(X))))<=>(?[X]:((strong(X)|old(X)))))&
((?[X]:(calm(X)))=>((funny(mary)&~happy(mary))))&
(![X]:((~wise(X)<~>~rich(X))<=>~kind(X)))&
(((kind(fred)<... | ~humble(mary) | [] | null | 0 |
Everyone who is funny or patient is curious or happy. Everyone who is both not curious and not rich is both curious and not kind and vice versa. If paul is not strong or brave then someone is not creative or wise. Everyone who is quiet is both not brave and not tall. Everyone who is not tall or not creative is not gene... | Paul is wise. | entailment | (![X]:((funny(X)|patient(X))=>(curious(X)|happy(X))))&
(![X]:((~curious(X)&~rich(X))<=>(curious(X)&~kind(X))))&
(((~strong(paul)|brave(paul)))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:(quiet(X)=>(~brave(X)&~tall(X))))&
(![X]:((~tall(X)|~creative(X))<=>(~generous(X)|calm(X))))&
((happy(alice))<=>(curious(paul)))&
((?[X]... | wise(paul) | [
"p1",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3401280947076100318801540
% SZS output start Proof for 3401280947076100318801540
2. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> (~kind(X0) & curious(X0))) [input p1]
8. ! [X0] : ((rich(X0) <~> curious(X0)) => ~curious(X0)) [input p7]
12. (~creative(lucy) & ~rich(lucy)) <=> ? [X0] : ~wise(X0)... | 0 |
Everyone who is both not kind and old is not kind.
Everyone who is either funny or old is not wise or not calm.
If susan is both not wise and quiet then someone is humble or quiet.
Everyone who is either curious or not kind is both not calm and old and vice versa.
If john is not creative then susan is both not brave an... | Fred is not quiet. | neutral | (![X]:((~kind(X)&old(X))=>~kind(X)))&
(![X]:((funny(X)<~>old(X))=>(~wise(X)|~calm(X))))&
(((~wise(susan)&quiet(susan)))=>(?[X]:((humble(X)|quiet(X)))))&
(![X]:((curious(X)<~>~kind(X))<=>(~calm(X)&old(X))))&
((~creative(john))<=>((~brave(susan)&~curious(susan))))&
(((quiet(susan)|creative(susan)))=>(?[X]:(strong(X))))&
... | ~quiet(fred) | [] | null | 0 |
Everyone who is both not humble and not wise is not funny.
If mary is either not strong or humble then someone is either kind or not rich and vice versa.
Everyone who is not kind or not quiet is both not humble and not wise and vice versa.
Everyone who is either strong or quiet is curious.
If someone is happy or brave ... | Susan is strong. | contradiction | (![X]:((~humble(X)&~wise(X))=>~funny(X)))&
(((~strong(mary)<~>humble(mary)))<=>(?[X]:((kind(X)<~>~rich(X)))))&
(![X]:((~kind(X)|~quiet(X))<=>(~humble(X)&~wise(X))))&
(![X]:((strong(X)<~>quiet(X))=>curious(X)))&
((?[X]:((happy(X)|brave(X))))<=>(?[X]:((patient(X)<~>~tall(X)))))&
(![X]:((tall(X)<~>patient(X))<=>(tall(X)&~... | strong(susan) | [
"p9",
"p14",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6179665266684830286117880
% SZS output start Proof for 6179665266684830286117880
10. ! [X0] : (~strong(X0) <=> creative(X0)) [input p9]
15. ! [X0] : ((~funny(X0) <~> ~creative(X0)) <=> (curious(X0) | ~rich(X0))) [input p14]
22. ~funny(susan) [input p21]
23. ~rich(susan) [input p22]
25. st... | 0 |
If someone is tall then someone is both not calm and not patient and vice versa.
If alice is generous then alice is either quiet or not happy.
Everyone who is either quiet or not quiet is both not creative and not strong and vice versa.
Everyone who is not quiet or not old is curious or old and vice versa.
Everyone who... | Alice is not quiet. | entailment | ((?[X]:(tall(X)))<=>(?[X]:((~calm(X)&~patient(X)))))&
((generous(alice))=>((quiet(alice)<~>~happy(alice))))&
(![X]:((quiet(X)<~>~quiet(X))<=>(~creative(X)&~strong(X))))&
(![X]:((~quiet(X)|~old(X))<=>(curious(X)|old(X))))&
(![X]:(happy(X)=>(curious(X)&~kind(X))))&
(![X]:(~creative(X)<=>(~quiet(X)&tall(X))))&
(![X]:((cre... | ~quiet(alice) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6095698285562797199332481
% SZS output start Proof for 6095698285562797199332481
3. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> (~strong(X0) & ~creative(X0))) [input p2]
6. ! [X0] : (~creative(X0) <=> (tall(X0) & ~quiet(X0))) [input p5]
24. quiet(alice) [input hypothesis]
49. ! [X0] : ((((qu... | 0 |
Everyone who is both happy and quiet is both calm and happy and vice versa.
Everyone who is brave or quiet is both patient and strong and vice versa.
If someone is not brave or funny then someone is humble or not generous and vice versa.
Everyone who is both humble and not calm is either old or not strong.
If john is b... | Fred is not old. | contradiction | (![X]:((happy(X)&quiet(X))<=>(calm(X)&happy(X))))&
(![X]:((brave(X)|quiet(X))<=>(patient(X)&strong(X))))&
((?[X]:((~brave(X)|funny(X))))<=>(?[X]:((humble(X)|~generous(X)))))&
(![X]:((humble(X)&~calm(X))=>(old(X)<~>~strong(X))))&
(((~humble(john)&~quiet(john)))<=>((~curious(lucy)<~>~wise(lucy))))&
(![X]:((~humble(X)&~st... | ~old(fred) | [
"p1",
"p5",
"p12",
"p14",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 13789897146467335594420
% SZS output start Proof for 13789897146467335594420
2. ! [X0] : ((quiet(X0) | brave(X0)) <=> (strong(X0) & patient(X0))) [input p1]
6. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (~tall(X0) | humble(X0))) [input p5]
13. ! [X0] : ((happy(X0) | wise(X0)) <=> (old(X0) ... | 0 |
If someone is either calm or curious then mary is either humble or not curious. Everyone who is humble or not patient is happy or not brave and vice versa. Everyone who is both not quiet and wise is not tall. If someone is either not curious or not quiet then fred is not old. Everyone who is not kind is not happy or no... | Mary is not rich. | contradiction | ((?[X]:((calm(X)<~>curious(X))))=>((humble(mary)<~>~curious(mary))))&
(![X]:((humble(X)|~patient(X))<=>(happy(X)|~brave(X))))&
(![X]:((~quiet(X)&wise(X))=>~tall(X)))&
((?[X]:((~curious(X)<~>~quiet(X))))=>(~old(fred)))&
(![X]:(~kind(X)<=>(~happy(X)|~quiet(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~brave(X)&tall(X))))&
((?... | ~rich(mary) | [
"p4",
"p5",
"p8",
"p10",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5700021066109978335483392
% SZS output start Proof for 5700021066109978335483392
5. ! [X0] : (~kind(X0) <=> (~quiet(X0) | ~happy(X0))) [input p4]
6. ! [X0] : ((~kind(X0) <~> curious(X0)) => (tall(X0) & ~brave(X0))) [input p5]
9. ! [X0] : ((~rich(X0) | tall(X0)) <=> (~generous(X0) <~> ~wis... | 0 |
Everyone who is strong or not rich is not strong or old and vice versa.
If someone is not creative or not happy then someone is either tall or not funny.
Everyone who is either not quiet or not wise is either tall or not strong and vice versa.
Everyone who is not happy or not quiet is not humble.
Everyone who is patien... | Paul is not rich. | entailment | (![X]:((strong(X)|~rich(X))<=>(~strong(X)|old(X))))&
((?[X]:((~creative(X)|~happy(X))))=>(?[X]:((tall(X)<~>~funny(X)))))&
(![X]:((~quiet(X)<~>~wise(X))<=>(tall(X)<~>~strong(X))))&
(![X]:((~happy(X)|~quiet(X))=>~humble(X)))&
(![X]:((patient(X)|~wise(X))<=>~funny(X)))&
(![X]:((~brave(X)<~>old(X))=>(~patient(X)&~funny(X))... | ~rich(paul) | [
"p0",
"p4",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 835446973421975698377733
% SZS output start Proof for 835446973421975698377733
1. ! [X0] : ((~rich(X0) | strong(X0)) <=> (old(X0) | ~strong(X0))) [input p0]
5. ! [X0] : ((~wise(X0) | patient(X0)) <=> ~funny(X0)) [input p4]
6. ! [X0] : ((~brave(X0) <~> old(X0)) => (~funny(X0) & ~patient(X0... | 0 |
If susan is both generous and old then someone is either not humble or quiet and vice versa. Everyone who is not quiet is both not tall and rich and vice versa. Everyone who is not rich or not kind is either not calm or quiet and vice versa. Everyone who is generous is not happy or humble. Everyone who is kind or not s... | Fred is brave. | contradiction | (((generous(susan)&old(susan)))<=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:(~quiet(X)<=>(~tall(X)&rich(X))))&
(![X]:((~rich(X)|~kind(X))<=>(~calm(X)<~>quiet(X))))&
(![X]:(generous(X)=>(~happy(X)|humble(X))))&
(![X]:((kind(X)|~strong(X))<=>(~patient(X)&humble(X))))&
(![X]:(wise(X)=>(curious(X)|generous(X))))&
(![X]:((ri... | brave(fred) | [
"p0",
"p1",
"p4",
"p6",
"p8",
"p10",
"p11",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1302855644500142987644019
% SZS output start Proof for 1302855644500142987644019
1. (old(susan) & generous(susan)) <=> ? [X0] : (~humble(X0) <~> quiet(X0)) [input p0]
2. ! [X0] : (~quiet(X0) <=> (rich(X0) & ~tall(X0))) [input p1]
5. ! [X0] : ((~strong(X0) | kind(X0)) <=> (humble(X0) & ~pa... | 0 |
Everyone who is either tall or not humble is either creative or not happy and vice versa. Everyone who is either happy or not kind is brave. If paul is old then someone is either humble or kind. If someone is both not brave and not creative then mary is either patient or happy. If fred is strong then paul is both not r... | Paul is calm. | contradiction | (![X]:((tall(X)<~>~humble(X))<=>(creative(X)<~>~happy(X))))&
(![X]:((happy(X)<~>~kind(X))=>brave(X)))&
((old(paul))=>(?[X]:((humble(X)<~>kind(X)))))&
((?[X]:((~brave(X)&~creative(X))))=>((patient(mary)<~>happy(mary))))&
((strong(fred))=>((~rich(paul)&~wise(paul))))&
(![X]:((tall(X)|old(X))<=>funny(X)))&
(![X]:((calm(X)... | calm(paul) | [
"p2",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 573304235028418427665985
% SZS output start Proof for 573304235028418427665985
3. old(paul) => ? [X0] : (humble(X0) <~> kind(X0)) [input p2]
13. ! [X0] : (kind(X0) <=> (~kind(X0) & ~generous(X0))) [input p12]
15. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~creative(X0) | ~calm(X0))) [inpu... | 0 |
Everyone who is calm is old or not creative and vice versa. If alice is either not wise or old then lucy is not humble or old and vice versa. Everyone who is both generous and not funny is not curious and vice versa. Everyone who is either not brave or not generous is wise or tall and vice versa. If someone is either n... | Lucy is not wise. | neutral | (![X]:(calm(X)<=>(old(X)|~creative(X))))&
(((~wise(alice)<~>old(alice)))<=>((~humble(lucy)|old(lucy))))&
(![X]:((generous(X)&~funny(X))<=>~curious(X)))&
(![X]:((~brave(X)<~>~generous(X))<=>(wise(X)|tall(X))))&
((?[X]:((~strong(X)<~>~creative(X))))<=>(?[X]:((old(X)<~>~quiet(X)))))&
(![X]:((~rich(X)&kind(X))<=>(~tall(X)|... | ~wise(lucy) | [] | null | 0 |
If paul is quiet then paul is creative or not tall.
If someone is not brave then someone is either not creative or not rich.
Everyone who is either strong or not kind is not happy or patient.
Everyone who is either wise or not tall is both brave and generous.
Everyone who is either not humble or generous is both not ge... | Mary is humble. | contradiction | ((quiet(paul))=>((creative(paul)|~tall(paul))))&
((?[X]:(~brave(X)))=>(?[X]:((~creative(X)<~>~rich(X)))))&
(![X]:((strong(X)<~>~kind(X))=>(~happy(X)|patient(X))))&
(![X]:((wise(X)<~>~tall(X))=>(brave(X)&generous(X))))&
(![X]:((~humble(X)<~>generous(X))=>(~generous(X)&~brave(X))))&
(![X]:(~brave(X)=>(strong(X)&~wise(X))... | humble(mary) | [
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4864826316355928908919486
% SZS output start Proof for 4864826316355928908919486
5. ! [X0] : ((~humble(X0) <~> generous(X0)) => (~brave(X0) & ~generous(X0))) [input p4]
15. ! [X0] : ((generous(X0) <~> ~patient(X0)) <=> patient(X0)) [input p14]
25. humble(mary) [input hypothesis]
34. ! [X0... | 0 |
Everyone who is either quiet or not calm is not creative.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Everyone who is patient or not wise is not curious.
If someone is either old or not wise then someone is both not calm and not strong and vice versa.
Everyone who is patient... | Mary is not curious. | entailment | (![X]:((quiet(X)<~>~calm(X))=>~creative(X)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((~calm(X)&~strong(X)))))&
(![X]:((patient(X)|strong(X))<=>(kind(X)&happy(X))))&
(![X]:((~calm(X)&rich(X))<=>(quiet(X)&hum... | ~curious(mary) | [
"p2",
"p4",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5421837361848990234209005
% SZS output start Proof for 5421837361848990234209005
3. ! [X0] : ((~wise(X0) | patient(X0)) => ~curious(X0)) [input p2]
5. ! [X0] : ((strong(X0) | patient(X0)) <=> (happy(X0) & kind(X0))) [input p4]
10. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (brave(X0) | stro... | 0 |
If someone is not kind then mary is calm or not tall.
If someone is not generous then someone is not kind and vice versa.
Everyone who is not calm is not tall.
Everyone who is not tall is not tall or strong and vice versa.
Everyone who is not wise or tall is calm or not brave and vice versa.
Everyone who is not strong ... | Lucy is not creative. | neutral | ((?[X]:(~kind(X)))=>((calm(mary)|~tall(mary))))&
((?[X]:(~generous(X)))<=>(?[X]:(~kind(X))))&
(![X]:(~calm(X)=>~tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)|strong(X))))&
(![X]:((~wise(X)|tall(X))<=>(calm(X)|~brave(X))))&
(![X]:((~strong(X)|curious(X))<=>(creative(X)&brave(X))))&
(![X]:(patient(X)=>(~strong(X)|~brave(X))))&
... | ~creative(lucy) | [] | null | 0 |
Everyone who is not calm is not tall or calm and vice versa.
Everyone who is either not calm or happy is not funny or strong and vice versa.
Everyone who is either rich or calm is both tall and not calm.
If lucy is not funny or not humble then someone is not funny and vice versa.
Everyone who is both not strong and not... | Alice is not quiet. | contradiction | (![X]:(~calm(X)<=>(~tall(X)|calm(X))))&
(![X]:((~calm(X)<~>happy(X))<=>(~funny(X)|strong(X))))&
(![X]:((rich(X)<~>calm(X))=>(tall(X)&~calm(X))))&
(((~funny(lucy)|~humble(lucy)))<=>(?[X]:(~funny(X))))&
(![X]:((~strong(X)&~calm(X))=>(~happy(X)&~old(X))))&
(![X]:(~old(X)<=>(wise(X)&~wise(X))))&
((?[X]:((tall(X)|~kind(X)))... | ~quiet(alice) | [
"p0",
"p2",
"p5",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4067114134576515816535104
% SZS output start Proof for 4067114134576515816535104
1. ! [X0] : (~calm(X0) <=> (calm(X0) | ~tall(X0))) [input p0]
3. ! [X0] : ((rich(X0) <~> calm(X0)) => (~calm(X0) & tall(X0))) [input p2]
6. ! [X0] : (~old(X0) <=> (~wise(X0) & wise(X0))) [input p5]
11. ! [X0]... | 0 |
Everyone who is patient is both rich and kind.
If mary is not brave then someone is strong or not happy and vice versa.
If someone is not wise or not rich then someone is curious or kind.
Everyone who is both not rich and patient is not quiet or not old and vice versa.
If john is humble then susan is either not creativ... | Susan is rich. | entailment | (![X]:(patient(X)=>(rich(X)&kind(X))))&
((~brave(mary))<=>(?[X]:((strong(X)|~happy(X)))))&
((?[X]:((~wise(X)|~rich(X))))=>(?[X]:((curious(X)|kind(X)))))&
(![X]:((~rich(X)&patient(X))<=>(~quiet(X)|~old(X))))&
((humble(john))=>((~creative(susan)<~>funny(susan))))&
(![X]:(humble(X)<=>~calm(X)))&
(![X]:((~strong(X)<~>quiet... | rich(susan) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 380856018182699148920804
% SZS output start Proof for 380856018182699148920804
1. ! [X0] : (patient(X0) => (kind(X0) & rich(X0))) [input p0]
4. ! [X0] : ((patient(X0) & ~rich(X0)) <=> (~old(X0) | ~quiet(X0))) [input p3]
6. ! [X0] : (humble(X0) <=> ~calm(X0)) [input p5]
7. ! [X0] : ((~stro... | 0 |
If someone is not calm or not tall then susan is not curious. If paul is not creative or not quiet then someone is kind or not quiet. If fred is happy then someone is happy and vice versa. Everyone who is both not patient and creative is both calm and not old. If mary is humble then lucy is patient or rich and vice ver... | Lucy is not strong. | entailment | ((?[X]:((~calm(X)|~tall(X))))=>(~curious(susan)))&
(((~creative(paul)|~quiet(paul)))=>(?[X]:((kind(X)|~quiet(X)))))&
((happy(fred))<=>(?[X]:(happy(X))))&
(![X]:((~patient(X)&creative(X))=>(calm(X)&~old(X))))&
((humble(mary))<=>((patient(lucy)|rich(lucy))))&
((?[X]:((~old(X)<~>~kind(X))))<=>(?[X]:(funny(X))))&
((?[X]:((... | ~strong(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1438956847375179851546224
% SZS output start Proof for 1438956847375179851546224
14. ! [X0] : ((~strong(X0) & tall(X0)) <=> strong(X0)) [input p13]
25. strong(lucy) [input hypothesis]
65. ! [X0] : (((~strong(X0) & tall(X0)) | ~strong(X0)) & (strong(X0) | (strong(X0) | ~tall(X0)))) [nnf tr... | 0 |
Everyone who is either not generous or not patient is both not old and rich.
If someone is both rich and strong then alice is happy and vice versa.
Everyone who is creative or generous is old or not wise.
If someone is either not kind or strong then someone is both generous and tall and vice versa.
Everyone who is funn... | John is not brave. | neutral | (![X]:((~generous(X)<~>~patient(X))=>(~old(X)&rich(X))))&
((?[X]:((rich(X)&strong(X))))<=>(happy(alice)))&
(![X]:((creative(X)|generous(X))=>(old(X)|~wise(X))))&
((?[X]:((~kind(X)<~>strong(X))))<=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((funny(X)|~funny(X))=>~tall(X)))&
(![X]:((curious(X)|patient(X))<=>(~patient(X)<~>s... | ~brave(john) | [] | null | 0 |
Everyone who is both calm and rich is not strong or not calm and vice versa.
Everyone who is not creative or not humble is old.
If someone is both calm and not patient then john is creative.
Everyone who is humble is either not creative or funny.
Everyone who is not tall or funny is either calm or not happy.
Everyone w... | Lucy is rich. | entailment | (![X]:((calm(X)&rich(X))<=>(~strong(X)|~calm(X))))&
(![X]:((~creative(X)|~humble(X))=>old(X)))&
((?[X]:((calm(X)&~patient(X))))=>(creative(john)))&
(![X]:(humble(X)=>(~creative(X)<~>funny(X))))&
(![X]:((~tall(X)|funny(X))=>(calm(X)<~>~happy(X))))&
(![X]:((creative(X)&brave(X))<=>(creative(X)&~kind(X))))&
((?[X]:((happy... | rich(lucy) | [
"p0",
"p7",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7323490048937325601332173
% SZS output start Proof for 7323490048937325601332173
1. ! [X0] : ((rich(X0) & calm(X0)) <=> (~calm(X0) | ~strong(X0))) [input p0]
8. ! [X0] : (calm(X0) <=> (patient(X0) & old(X0))) [input p7]
10. ! [X0] : ((brave(X0) & kind(X0)) => (~tall(X0) & ~patient(X0))) [... | 0 |
Everyone who is not wise is rich or not patient and vice versa.
If fred is both not calm and curious then someone is patient.
If john is either not rich or creative then someone is not rich and vice versa.
If john is both not patient and not quiet then someone is quiet and vice versa.
If someone is not kind or old then... | Fred is curious. | contradiction | (![X]:(~wise(X)<=>(rich(X)|~patient(X))))&
(((~calm(fred)&curious(fred)))=>(?[X]:(patient(X))))&
(((~rich(john)<~>creative(john)))<=>(?[X]:(~rich(X))))&
(((~patient(john)&~quiet(john)))<=>(?[X]:(quiet(X))))&
((?[X]:((~kind(X)|old(X))))=>((tall(john)|~creative(john))))&
((?[X]:((~quiet(X)&patient(X))))<=>(funny(mary)))&... | curious(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6718680683018129664594607
% SZS output start Proof for 6718680683018129664594607
23. ~creative(fred) & ~curious(fred) [input p22]
24. curious(fred) [input hypothesis]
146. ~curious(fred) [cnf transformation 23]
148. curious(fred) [cnf transformation 24]
158. 2 <=> curious(fred) [avatar de... | 0 |
Everyone who is both generous and calm is either not rich or brave and vice versa.
Everyone who is not curious or not humble is either not creative or not calm and vice versa.
If someone is not old then susan is not calm and vice versa.
Everyone who is strong or not creative is not curious.
Everyone who is either not r... | Paul is not funny. | contradiction | (![X]:((generous(X)&calm(X))<=>(~rich(X)<~>brave(X))))&
(![X]:((~curious(X)|~humble(X))<=>(~creative(X)<~>~calm(X))))&
((?[X]:(~old(X)))<=>(~calm(susan)))&
(![X]:((strong(X)|~creative(X))=>~curious(X)))&
(![X]:((~rich(X)<~>brave(X))<=>(humble(X)|old(X))))&
(![X]:((~rich(X)&~kind(X))<=>(generous(X)|~funny(X))))&
((?[X]:... | ~funny(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 259731466385181019361465
% SZS output start Proof for 259731466385181019361465
1. ! [X0] : ((calm(X0) & generous(X0)) <=> (~rich(X0) <~> brave(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | ~curious(X0)) <=> (~creative(X0) <~> ~calm(X0))) [input p1]
3. ? [X0] : ~old(X0) <=> ~calm(susan) [in... | 0 |
Everyone who is not funny or generous is either brave or not patient. Everyone who is not rich or not creative is both not patient and not generous. Everyone who is both generous and not generous is generous. If susan is calm or happy then lucy is not funny and vice versa. Everyone who is not patient or not old is not ... | Susan is creative. | entailment | (![X]:((~funny(X)|generous(X))=>(brave(X)<~>~patient(X))))&
(![X]:((~rich(X)|~creative(X))=>(~patient(X)&~generous(X))))&
(![X]:((generous(X)&~generous(X))=>generous(X)))&
(((calm(susan)|happy(susan)))<=>(~funny(lucy)))&
(![X]:((~patient(X)|~old(X))=>(~kind(X)|~generous(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~wise(X)|~happ... | creative(susan) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4091488938525606428119510
% SZS output start Proof for 4091488938525606428119510
2. ! [X0] : ((~creative(X0) | ~rich(X0)) => (~generous(X0) & ~patient(X0))) [input p1]
8. ! [X0] : (generous(X0) <=> (~generous(X0) | ~funny(X0))) [input p7]
22. ~creative(susan) [input hypothesis]
27. ! [X0]... | 0 |
Everyone who is not humble or not wise is not funny or quiet and vice versa. Everyone who is not strong or not humble is both not strong and not calm and vice versa. Everyone who is both humble and not strong is both not happy and humble. Everyone who is tall is either not rich or not funny and vice versa. Everyone who... | Mary is not brave. | entailment | (![X]:((~humble(X)|~wise(X))<=>(~funny(X)|quiet(X))))&
(![X]:((~strong(X)|~humble(X))<=>(~strong(X)&~calm(X))))&
(![X]:((humble(X)&~strong(X))=>(~happy(X)&humble(X))))&
(![X]:(tall(X)<=>(~rich(X)<~>~funny(X))))&
(![X]:((brave(X)&~generous(X))<=>humble(X)))&
(((wise(lucy)|~happy(lucy)))<=>((brave(fred)|~kind(fred))))&
(... | ~brave(mary) | [
"p1",
"p4",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2515805973294071348801516
% SZS output start Proof for 2515805973294071348801516
2. ! [X0] : ((~humble(X0) | ~strong(X0)) <=> (~calm(X0) & ~strong(X0))) [input p1]
5. ! [X0] : ((~generous(X0) & brave(X0)) <=> humble(X0)) [input p4]
7. ! [X0] : (strong(X0) <=> (~brave(X0) & humble(X0))) [i... | 0 |
Everyone who is either not creative or funny is not quiet or funny and vice versa. Everyone who is generous is either not happy or happy and vice versa. Everyone who is both humble and calm is both not brave and not quiet. Everyone who is either not calm or not curious is both curious and not happy and vice versa. If a... | Mary is not brave. | neutral | (![X]:((~creative(X)<~>funny(X))<=>(~quiet(X)|funny(X))))&
(![X]:(generous(X)<=>(~happy(X)<~>happy(X))))&
(![X]:((humble(X)&calm(X))=>(~brave(X)&~quiet(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(curious(X)&~happy(X))))&
(((calm(alice)<~>quiet(alice)))<=>(?[X]:(~patient(X))))&
(![X]:((~strong(X)<~>strong(X))=>(quiet(X)<~... | ~brave(mary) | [] | null | 0 |
If paul is curious then someone is either not humble or not curious and vice versa.
If someone is generous then someone is either not generous or not kind.
If someone is not creative or not generous then someone is not generous or not tall and vice versa.
Everyone who is strong is both old and not brave.
If someone is ... | Mary is tall. | entailment | ((curious(paul))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
((?[X]:(generous(X)))=>(?[X]:((~generous(X)<~>~kind(X)))))&
((?[X]:((~creative(X)|~generous(X))))<=>(?[X]:((~generous(X)|~tall(X)))))&
(![X]:(strong(X)=>(old(X)&~brave(X))))&
((?[X]:((brave(X)|humble(X))))=>(?[X]:((wise(X)|generous(X)))))&
(![X]:(~creative(X)=>~h... | tall(mary) | [
"p6",
"p8",
"p10",
"p15",
"p16",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8419504619105235780469244
% SZS output start Proof for 8419504619105235780469244
7. ! [X0] : ((~curious(X0) | ~calm(X0)) => (~happy(X0) <~> calm(X0))) [input p6]
9. (generous(alice) & ~kind(alice)) <=> ? [X0] : (quiet(X0) & curious(X0)) [input p8]
11. ! [X0] : ((~kind(X0) | ~calm(X0)) => ... | 0 |
Everyone who is either not wise or not strong is not patient and vice versa.
Everyone who is both funny and not tall is both not old and not quiet and vice versa.
Everyone who is either not old or tall is not quiet and vice versa.
If paul is happy or not humble then someone is either kind or not patient and vice versa.... | Alice is not funny. | contradiction | (![X]:((~wise(X)<~>~strong(X))<=>~patient(X)))&
(![X]:((funny(X)&~tall(X))<=>(~old(X)&~quiet(X))))&
(![X]:((~old(X)<~>tall(X))<=>~quiet(X)))&
(((happy(paul)|~humble(paul)))<=>(?[X]:((kind(X)<~>~patient(X)))))&
(![X]:((kind(X)&~creative(X))=>(funny(X)&strong(X))))&
(![X]:((tall(X)&quiet(X))<=>(~old(X)&~funny(X))))&
(![X... | ~funny(alice) | [
"p1",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1569755035432872965109948
% SZS output start Proof for 1569755035432872965109948
2. ! [X0] : ((~tall(X0) & funny(X0)) <=> (~quiet(X0) & ~old(X0))) [input p1]
13. ! [X0] : ((~funny(X0) | old(X0)) => ~happy(X0)) [input p12]
14. ! [X0] : ((strong(X0) & old(X0)) <=> (funny(X0) <~> ~strong(X0)... | 0 |
Everyone who is brave is both kind and not patient and vice versa.
If paul is either wise or curious then mary is brave or not calm.
Everyone who is either old or funny is not happy or not generous and vice versa.
Everyone who is kind or not calm is either wise or not humble and vice versa.
Everyone who is both brave a... | Paul is not kind. | neutral | (![X]:(brave(X)<=>(kind(X)&~patient(X))))&
(((wise(paul)<~>curious(paul)))=>((brave(mary)|~calm(mary))))&
(![X]:((old(X)<~>funny(X))<=>(~happy(X)|~generous(X))))&
(![X]:((kind(X)|~calm(X))<=>(wise(X)<~>~humble(X))))&
(![X]:((brave(X)&humble(X))=>(~patient(X)|curious(X))))&
(![X]:((~patient(X)&creative(X))=>(humble(X)<~... | ~kind(paul) | [] | null | 0 |
If someone is both creative and not creative then someone is not strong and vice versa.
If someone is both not wise and not calm then someone is either not creative or strong and vice versa.
If mary is both tall and happy then susan is both strong and not funny.
Everyone who is both not kind and not wise is wise.
If so... | Alice is tall. | neutral | ((?[X]:((creative(X)&~creative(X))))<=>(?[X]:(~strong(X))))&
((?[X]:((~wise(X)&~calm(X))))<=>(?[X]:((~creative(X)<~>strong(X)))))&
(((tall(mary)&happy(mary)))=>((strong(susan)&~funny(susan))))&
(![X]:((~kind(X)&~wise(X))=>wise(X)))&
((?[X]:((humble(X)&funny(X))))=>((~quiet(alice)<~>generous(alice))))&
(![X]:((creative(... | tall(alice) | [] | null | 0 |
Everyone who is either not kind or patient is both not brave and not strong and vice versa.
Everyone who is either quiet or not patient is funny or wise.
If someone is rich then someone is quiet or not happy.
Everyone who is both creative and calm is either creative or not generous and vice versa.
Everyone who is tall ... | Alice is not strong. | entailment | (![X]:((~kind(X)<~>patient(X))<=>(~brave(X)&~strong(X))))&
(![X]:((quiet(X)<~>~patient(X))=>(funny(X)|wise(X))))&
((?[X]:(rich(X)))=>(?[X]:((quiet(X)|~happy(X)))))&
(![X]:((creative(X)&calm(X))<=>(creative(X)<~>~generous(X))))&
(![X]:(tall(X)=>(brave(X)|generous(X))))&
(![X]:((~curious(X)|~patient(X))=>happy(X)))&
(![X... | ~strong(alice) | [
"p7",
"p12",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6497143864324479535188701
% SZS output start Proof for 6497143864324479535188701
8. ! [X0] : ((happy(X0) | ~rich(X0)) <=> (~generous(X0) & brave(X0))) [input p7]
13. ! [X0] : ((~calm(X0) <~> happy(X0)) <=> (strong(X0) | ~creative(X0))) [input p12]
17. calm(alice) | happy(alice) [input p16... | 0 |
Everyone who is either not brave or kind is rich or calm. Everyone who is not wise or not generous is both creative and humble and vice versa. If susan is not happy then someone is either not funny or rich and vice versa. Everyone who is both rich and not generous is either not quiet or kind and vice versa. Everyone wh... | John is not wise. | contradiction | (![X]:((~brave(X)<~>kind(X))=>(rich(X)|calm(X))))&
(![X]:((~wise(X)|~generous(X))<=>(creative(X)&humble(X))))&
((~happy(susan))<=>(?[X]:((~funny(X)<~>rich(X)))))&
(![X]:((rich(X)&~generous(X))<=>(~quiet(X)<~>kind(X))))&
(![X]:(rich(X)=>(~curious(X)<~>brave(X))))&
((old(lucy))<=>(?[X]:((~calm(X)&quiet(X)))))&
(![X]:(~qu... | ~wise(john) | [
"p3",
"p8",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5615994741744174891240524
% SZS output start Proof for 5615994741744174891240524
4. ! [X0] : ((~generous(X0) & rich(X0)) <=> (~quiet(X0) <~> kind(X0))) [input p3]
9. ! [X0] : ((patient(X0) <~> ~calm(X0)) <=> quiet(X0)) [input p8]
10. ! [X0] : ((~creative(X0) | ~wise(X0)) <=> (~patient(X0)... | 0 |
If someone is happy or brave then someone is rich or not funny.
If someone is either not wise or not old then someone is both calm and not quiet and vice versa.
If mary is not old then someone is both generous and not happy.
If someone is not rich or not calm then someone is not generous or patient.
If paul is both old... | Fred is not funny. | contradiction | ((?[X]:((happy(X)|brave(X))))=>(?[X]:((rich(X)|~funny(X)))))&
((?[X]:((~wise(X)<~>~old(X))))<=>(?[X]:((calm(X)&~quiet(X)))))&
((~old(mary))=>(?[X]:((generous(X)&~happy(X)))))&
((?[X]:((~rich(X)|~calm(X))))=>(?[X]:((~generous(X)|patient(X)))))&
(((old(paul)&curious(paul)))<=>(?[X]:((~rich(X)&curious(X)))))&
((?[X]:((cur... | ~funny(fred) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5535723847828805072833445
% SZS output start Proof for 5535723847828805072833445
7. ! [X0] : (funny(X0) <=> tall(X0)) [input p6]
13. ! [X0] : (~tall(X0) => (~wise(X0) & wise(X0))) [input p12]
23. ~funny(fred) [input hypothesis]
34. ! [X0] : ((~wise(X0) & wise(X0)) | tall(X0)) [ennf transf... | 0 |
Everyone who is not curious is not creative or not calm.
If someone is both rich and not rich then someone is wise or not old.
Everyone who is not generous or not creative is both creative and patient.
Everyone who is not kind is both not wise and not happy and vice versa.
Everyone who is both wise and not happy is pat... | Mary is humble. | entailment | (![X]:(~curious(X)=>(~creative(X)|~calm(X))))&
((?[X]:((rich(X)&~rich(X))))=>(?[X]:((wise(X)|~old(X)))))&
(![X]:((~generous(X)|~creative(X))=>(creative(X)&patient(X))))&
(![X]:(~kind(X)<=>(~wise(X)&~happy(X))))&
(![X]:((wise(X)&~happy(X))<=>(patient(X)|~brave(X))))&
((brave(alice))=>((~humble(lucy)|~patient(lucy))))&
(... | humble(mary) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7178190844779578606693160
% SZS output start Proof for 7178190844779578606693160
5. ! [X0] : ((~happy(X0) & wise(X0)) <=> (~brave(X0) | patient(X0))) [input p4]
10. ! [X0] : ((wise(X0) | ~patient(X0)) <=> (strong(X0) & humble(X0))) [input p9]
25. ~humble(mary) [input hypothesis]
50. ! [X0... | 0 |
Everyone who is both not curious and calm is both humble and patient and vice versa. If someone is not rich or brave then lucy is both old and wise. Everyone who is not humble is generous or tall. Everyone who is curious is both humble and rich and vice versa. If someone is both not patient and strong then john is stro... | Mary is quiet. | neutral | (![X]:((~curious(X)&calm(X))<=>(humble(X)&patient(X))))&
((?[X]:((~rich(X)|brave(X))))=>((old(lucy)&wise(lucy))))&
(![X]:(~humble(X)=>(generous(X)|tall(X))))&
(![X]:(curious(X)<=>(humble(X)&rich(X))))&
((?[X]:((~patient(X)&strong(X))))<=>(strong(john)))&
(((calm(susan)|~kind(susan)))<=>((creative(fred)&~happy(fred))))&... | quiet(mary) | [] | null | 0 |
If paul is generous or old then paul is not wise or brave and vice versa. If mary is either not kind or not tall then someone is both not patient and not brave and vice versa. If mary is either not funny or tall then alice is both not humble and not tall and vice versa. Everyone who is not kind is both not funny and no... | Fred is patient. | neutral | (((generous(paul)|old(paul)))<=>((~wise(paul)|brave(paul))))&
(((~kind(mary)<~>~tall(mary)))<=>(?[X]:((~patient(X)&~brave(X)))))&
(((~funny(mary)<~>tall(mary)))<=>((~humble(alice)&~tall(alice))))&
(![X]:(~kind(X)<=>(~funny(X)&~creative(X))))&
((?[X]:((happy(X)&~rich(X))))=>(?[X]:(~curious(X))))&
(((~rich(alice)<~>~curi... | patient(fred) | [] | null | 0 |
If paul is both curious and not brave then someone is not happy and vice versa. If someone is both tall and not brave then someone is either not wise or not rich. Everyone who is either rich or kind is both not creative and tall. If someone is not creative or not kind then someone is calm. Everyone who is not creative ... | John is calm. | entailment | (((curious(paul)&~brave(paul)))<=>(?[X]:(~happy(X))))&
((?[X]:((tall(X)&~brave(X))))=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((rich(X)<~>kind(X))=>(~creative(X)&tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(calm(X))))&
(![X]:((~creative(X)|brave(X))<=>(~patient(X)&creative(X))))&
((?[X]:((wise(X)<~>rich(X))))=>... | calm(john) | [
"p4",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6409847489112536253433268
% SZS output start Proof for 6409847489112536253433268
5. ! [X0] : ((brave(X0) | ~creative(X0)) <=> (creative(X0) & ~patient(X0))) [input p4]
7. ! [X0] : (tall(X0) <=> (~creative(X0) & ~old(X0))) [input p6]
9. ! [X0] : (tall(X0) => creative(X0)) [input p8]
14. ! ... | 0 |
If paul is not wise then someone is either not strong or not calm.
If someone is either not rich or not patient then someone is either not rich or funny and vice versa.
If someone is either not tall or not strong then paul is not wise.
Everyone who is either strong or patient is either kind or not brave.
If alice is cr... | Paul is not creative. | neutral | ((~wise(paul))=>(?[X]:((~strong(X)<~>~calm(X)))))&
((?[X]:((~rich(X)<~>~patient(X))))<=>(?[X]:((~rich(X)<~>funny(X)))))&
((?[X]:((~tall(X)<~>~strong(X))))=>(~wise(paul)))&
(![X]:((strong(X)<~>patient(X))=>(kind(X)<~>~brave(X))))&
(((creative(alice)|funny(alice)))<=>(?[X]:((old(X)<~>~happy(X)))))&
((?[X]:((generous(X)|~... | ~creative(paul) | [] | null | 0 |
Everyone who is both patient and generous is both wise and not humble. If paul is both wise and curious then fred is not tall or wise and vice versa. Everyone who is either happy or not quiet is both brave and not happy. If alice is not humble then someone is both not generous and creative and vice versa. If someone is... | John is creative. | neutral | (![X]:((patient(X)&generous(X))=>(wise(X)&~humble(X))))&
(((wise(paul)&curious(paul)))<=>((~tall(fred)|wise(fred))))&
(![X]:((happy(X)<~>~quiet(X))=>(brave(X)&~happy(X))))&
((~humble(alice))<=>(?[X]:((~generous(X)&creative(X)))))&
((?[X]:((patient(X)&curious(X))))<=>((tall(lucy)|~wise(lucy))))&
((?[X]:((~quiet(X)|gener... | creative(john) | [] | null | 0 |
Everyone who is brave or not calm is humble and vice versa.
If someone is creative or not old then alice is either quiet or not old and vice versa.
If someone is not rich or not strong then alice is both tall and not kind.
Everyone who is either tall or funny is either strong or brave and vice versa.
Everyone who is ri... | Alice is tall. | entailment | (![X]:((brave(X)|~calm(X))<=>humble(X)))&
((?[X]:((creative(X)|~old(X))))<=>((quiet(alice)<~>~old(alice))))&
((?[X]:((~rich(X)|~strong(X))))=>((tall(alice)&~kind(alice))))&
(![X]:((tall(X)<~>funny(X))<=>(strong(X)<~>brave(X))))&
(![X]:((rich(X)|creative(X))<=>(kind(X)|wise(X))))&
(![X]:((patient(X)&wise(X))=>calm(X)))&... | tall(alice) | [
"p2",
"p6",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6399408183938020711737130
% SZS output start Proof for 6399408183938020711737130
3. ? [X0] : (~strong(X0) | ~rich(X0)) => (~kind(alice) & tall(alice)) [input p2]
7. ! [X0] : ((happy(X0) | creative(X0)) <=> (old(X0) & ~humble(X0))) [input p6]
8. ! [X0] : ((curious(X0) | ~humble(X0)) <=> (~... | 0 |
If paul is both strong and not calm then someone is either curious or funny.
Everyone who is both not tall and rich is both strong and not humble and vice versa.
Everyone who is not happy is either not strong or strong.
If john is creative then fred is either rich or kind and vice versa.
Everyone who is both rich and n... | Fred is not rich. | entailment | (((strong(paul)&~calm(paul)))=>(?[X]:((curious(X)<~>funny(X)))))&
(![X]:((~tall(X)&rich(X))<=>(strong(X)&~humble(X))))&
(![X]:(~happy(X)=>(~strong(X)<~>strong(X))))&
((creative(john))<=>((rich(fred)<~>kind(fred))))&
(![X]:((rich(X)&~humble(X))=>(rich(X)<~>generous(X))))&
((?[X]:(kind(X)))=>((kind(susan)<~>calm(susan)))... | ~rich(fred) | [
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 151026039296470233130119
% SZS output start Proof for 151026039296470233130119
8. ! [X0] : ((happy(X0) | curious(X0)) => ~generous(X0)) [input p7]
12. ! [X0] : (~generous(X0) => (creative(X0) & ~rich(X0))) [input p11]
16. ! [X0] : ((~curious(X0) | strong(X0)) => (curious(X0) & ~tall(X0)))... | 0 |
If alice is either not tall or humble then someone is not wise and vice versa. Everyone who is not creative or not rich is not rich or not generous and vice versa. If someone is rich or not humble then fred is not kind. Everyone who is either tall or patient is happy and vice versa. Everyone who is either not brave or ... | John is patient. | neutral | (((~tall(alice)<~>humble(alice)))<=>(?[X]:(~wise(X))))&
(![X]:((~creative(X)|~rich(X))<=>(~rich(X)|~generous(X))))&
((?[X]:((rich(X)|~humble(X))))=>(~kind(fred)))&
(![X]:((tall(X)<~>patient(X))<=>happy(X)))&
(![X]:((~brave(X)<~>~generous(X))=>(patient(X)&~tall(X))))&
(![X]:((~happy(X)&~funny(X))=>(~creative(X)<~>calm(X... | patient(john) | [] | null | 0 |
If alice is either brave or curious then someone is both not tall and rich and vice versa. If mary is both patient and kind then someone is not old or creative and vice versa. If alice is either not creative or not humble then someone is curious or tall. If fred is wise then mary is both calm and generous and vice vers... | Mary is not old. | contradiction | (((brave(alice)<~>curious(alice)))<=>(?[X]:((~tall(X)&rich(X)))))&
(((patient(mary)&kind(mary)))<=>(?[X]:((~old(X)|creative(X)))))&
(((~creative(alice)<~>~humble(alice)))=>(?[X]:((curious(X)|tall(X)))))&
((wise(fred))<=>((calm(mary)&generous(mary))))&
(![X]:((calm(X)&kind(X))=>~calm(X)))&
(((~patient(mary)|~quiet(mary)... | ~old(mary) | [
"p1",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5839765127291307706656279
% SZS output start Proof for 5839765127291307706656279
2. (kind(mary) & patient(mary)) <=> ? [X0] : (creative(X0) | ~old(X0)) [input p1]
5. ! [X0] : ((kind(X0) & calm(X0)) => ~calm(X0)) [input p4]
8. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> calm(X0)) [input p7]
22. ... | 0 |
Everyone who is either not creative or not rich is not brave or not creative and vice versa. Everyone who is quiet or tall is not old or funny. Everyone who is either not humble or generous is tall or wise and vice versa. If someone is both not happy and not patient then alice is both rich and creative and vice versa. ... | Fred is curious. | entailment | (![X]:((~creative(X)<~>~rich(X))<=>(~brave(X)|~creative(X))))&
(![X]:((quiet(X)|tall(X))=>(~old(X)|funny(X))))&
(![X]:((~humble(X)<~>generous(X))<=>(tall(X)|wise(X))))&
((?[X]:((~happy(X)&~patient(X))))<=>((rich(alice)&creative(alice))))&
(((calm(mary)|~happy(mary)))=>((calm(john)&wise(john))))&
(![X]:(funny(X)=>(~kind... | curious(fred) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4808297231264463279559317
% SZS output start Proof for 4808297231264463279559317
6. ! [X0] : (funny(X0) => (~funny(X0) & ~kind(X0))) [input p5]
12. ! [X0] : ((curious(X0) <~> ~funny(X0)) => (~wise(X0) & curious(X0))) [input p11]
23. ~curious(fred) [input hypothesis]
30. ! [X0] : ((~funny(... | 0 |
If someone is either not tall or old then someone is either calm or funny and vice versa.
Everyone who is not brave or quiet is both not brave and not funny.
If someone is rich or strong then lucy is not funny and vice versa.
Everyone who is not quiet is both not strong and creative and vice versa.
If lucy is both not ... | Lucy is funny. | contradiction | ((?[X]:((~tall(X)<~>old(X))))<=>(?[X]:((calm(X)<~>funny(X)))))&
(![X]:((~brave(X)|quiet(X))=>(~brave(X)&~funny(X))))&
((?[X]:((rich(X)|strong(X))))<=>(~funny(lucy)))&
(![X]:(~quiet(X)<=>(~strong(X)&creative(X))))&
(((~curious(lucy)&~creative(lucy)))=>(?[X]:((~creative(X)&rich(X)))))&
(![X]:((~kind(X)|generous(X))<=>(qu... | funny(lucy) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7471062490159093006153060
% SZS output start Proof for 7471062490159093006153060
3. ? [X0] : (strong(X0) | rich(X0)) <=> ~funny(lucy) [input p2]
17. old(lucy) & rich(lucy) [input p16]
23. funny(lucy) [input hypothesis]
37. (? [X0] : (strong(X0) | rich(X0)) | funny(lucy)) & (~funny(lucy) |... | 0 |
If john is not brave or not strong then someone is funny.
Everyone who is either strong or curious is not strong or brave and vice versa.
Everyone who is creative or kind is not happy.
If someone is both not generous and not curious then lucy is not generous or not wise.
Everyone who is either calm or not brave is not ... | John is not creative. | entailment | (((~brave(john)|~strong(john)))=>(?[X]:(funny(X))))&
(![X]:((strong(X)<~>curious(X))<=>(~strong(X)|brave(X))))&
(![X]:((creative(X)|kind(X))=>~happy(X)))&
((?[X]:((~generous(X)&~curious(X))))=>((~generous(lucy)|~wise(lucy))))&
(![X]:((calm(X)<~>~brave(X))=>(~creative(X)|~calm(X))))&
((?[X]:((~brave(X)&quiet(X))))<=>((~... | ~creative(john) | [
"p1",
"p2",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 741139129589794078235665
% SZS output start Proof for 741139129589794078235665
2. ! [X0] : ((strong(X0) <~> curious(X0)) <=> (brave(X0) | ~strong(X0))) [input p1]
3. ! [X0] : ((kind(X0) | creative(X0)) => ~happy(X0)) [input p2]
13. ! [X0] : ((brave(X0) | happy(X0)) => (happy(X0) & ~rich(X... | 0 |
If mary is either humble or not curious then alice is not kind or not creative and vice versa.
If susan is both not generous and not calm then someone is either not creative or wise and vice versa.
If someone is either wise or not tall then someone is both not wise and quiet and vice versa.
Everyone who is not strong i... | Mary is not happy. | entailment | (((humble(mary)<~>~curious(mary)))<=>((~kind(alice)|~creative(alice))))&
(((~generous(susan)&~calm(susan)))<=>(?[X]:((~creative(X)<~>wise(X)))))&
((?[X]:((wise(X)<~>~tall(X))))<=>(?[X]:((~wise(X)&quiet(X)))))&
(![X]:(~strong(X)<=>(~funny(X)|funny(X))))&
((?[X]:((creative(X)&rich(X))))=>(?[X]:((~strong(X)<~>rich(X)))))&... | ~happy(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1461914789959720291527516
% SZS output start Proof for 1461914789959720291527516
17. ~happy(mary) [input p16]
24. happy(mary) [input hypothesis]
154. ~happy(mary) [cnf transformation 17]
162. happy(mary) [cnf transformation 24]
460. $false [subsumption resolution 162,154]
% SZS output end... | 0 |
Everyone who is either not brave or calm is either not quiet or not calm. If someone is both not quiet and not creative then someone is not kind. If someone is both curious and not funny then someone is either brave or not generous. If someone is not old then someone is creative and vice versa. If someone is not patien... | Paul is strong. | contradiction | (![X]:((~brave(X)<~>calm(X))=>(~quiet(X)<~>~calm(X))))&
((?[X]:((~quiet(X)&~creative(X))))=>(?[X]:(~kind(X))))&
((?[X]:((curious(X)&~funny(X))))=>(?[X]:((brave(X)<~>~generous(X)))))&
((?[X]:(~old(X)))<=>(?[X]:(creative(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~happy(X)&~tall(X)))))&
((?[X]:((~rich(X)|~generous(X))))=>(?[... | strong(paul) | [
"p3",
"p4",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7901484771223426460759389
% SZS output start Proof for 7901484771223426460759389
4. ? [X0] : ~old(X0) <=> ? [X0] : creative(X0) [input p3]
5. ? [X0] : ~patient(X0) <=> ? [X0] : (~tall(X0) & ~happy(X0)) [input p4]
11. ! [X0] : (~happy(X0) => (tall(X0) & ~happy(X0))) [input p10]
12. ! [X0] ... | 0 |
Everyone who is humble or not creative is not calm.
Everyone who is happy or not rich is either not generous or creative.
Everyone who is both not generous and wise is curious or not happy and vice versa.
Everyone who is not tall is either strong or not tall.
Everyone who is both not curious and brave is not kind or no... | John is not wise. | contradiction | (![X]:((humble(X)|~creative(X))=>~calm(X)))&
(![X]:((happy(X)|~rich(X))=>(~generous(X)<~>creative(X))))&
(![X]:((~generous(X)&wise(X))<=>(curious(X)|~happy(X))))&
(![X]:(~tall(X)=>(strong(X)<~>~tall(X))))&
(![X]:((~curious(X)&brave(X))<=>(~kind(X)|~curious(X))))&
(![X]:(kind(X)=>old(X)))&
((quiet(john))<=>(?[X]:((~wise... | ~wise(john) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7888843022292456548406335
% SZS output start Proof for 7888843022292456548406335
3. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (~happy(X0) | curious(X0))) [input p2]
14. ! [X0] : ((happy(X0) | ~calm(X0)) => (~rich(X0) & wise(X0))) [input p13]
21. ~wise(john) [input hypothesis]
33. ! [X0] : ... | 0 |
Everyone who is not generous is either generous or not wise and vice versa.
Everyone who is creative or rich is tall or not funny and vice versa.
If someone is not calm or not tall then lucy is both not strong and not old.
If someone is both patient and not curious then someone is creative or not quiet and vice versa.
... | Fred is not calm. | neutral | (![X]:(~generous(X)<=>(generous(X)<~>~wise(X))))&
(![X]:((creative(X)|rich(X))<=>(tall(X)|~funny(X))))&
((?[X]:((~calm(X)|~tall(X))))=>((~strong(lucy)&~old(lucy))))&
((?[X]:((patient(X)&~curious(X))))<=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:(calm(X)<=>(~calm(X)<~>~patient(X))))&
(![X]:((~tall(X)<~>tall(X))<=>(~creat... | ~calm(fred) | [] | null | 0 |
Everyone who is either not brave or not creative is not strong or not generous and vice versa. Everyone who is not generous is not strong or not rich and vice versa. Everyone who is quiet is not funny. If john is both not rich and happy then someone is curious. If fred is happy then paul is not brave or not happy and v... | Susan is not generous. | contradiction | (![X]:((~brave(X)<~>~creative(X))<=>(~strong(X)|~generous(X))))&
(![X]:(~generous(X)<=>(~strong(X)|~rich(X))))&
(![X]:(quiet(X)=>~funny(X)))&
(((~rich(john)&happy(john)))=>(?[X]:(curious(X))))&
((happy(fred))<=>((~brave(paul)|~happy(paul))))&
((?[X]:(generous(X)))=>(?[X]:((~calm(X)&rich(X)))))&
((?[X]:((curious(X)&brav... | ~generous(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3970610521380777107551776
% SZS output start Proof for 3970610521380777107551776
15. ? [X0] : (~old(X0) & old(X0)) <=> ? [X0] : ~generous(X0) [input p14]
25. ~generous(susan) [input hypothesis]
28. ? [X0] : (~old(X0) & old(X0)) <=> ? [X1] : ~generous(X1) [rectify 15]
65. (? [X0] : (~old(X... | 0 |
Everyone who is funny is either humble or curious and vice versa.
Everyone who is both not funny and funny is rich and vice versa.
If john is either not quiet or not generous then paul is not kind and vice versa.
Everyone who is not generous is not quiet.
If someone is either kind or strong then someone is either not q... | Susan is not kind. | entailment | (![X]:(funny(X)<=>(humble(X)<~>curious(X))))&
(![X]:((~funny(X)&funny(X))<=>rich(X)))&
(((~quiet(john)<~>~generous(john)))<=>(~kind(paul)))&
(![X]:(~generous(X)=>~quiet(X)))&
((?[X]:((kind(X)<~>strong(X))))<=>(?[X]:((~quiet(X)<~>patient(X)))))&
(![X]:((generous(X)&funny(X))=>(~generous(X)&~wise(X))))&
(![X]:(kind(X)=>(... | ~kind(susan) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8347975164687265605342763
% SZS output start Proof for 8347975164687265605342763
7. ! [X0] : (kind(X0) => (brave(X0) & ~funny(X0))) [input p6]
24. ~brave(susan) & funny(susan) [input p23]
25. kind(susan) [input hypothesis]
30. ! [X0] : ((brave(X0) & ~funny(X0)) | ~kind(X0)) [ennf transfor... | 0 |
Everyone who is tall or not happy is generous or kind.
Everyone who is creative or not funny is both generous and not generous and vice versa.
Everyone who is both patient and not funny is either not humble or creative.
Everyone who is either not calm or not brave is rich or not strong and vice versa.
Everyone who is c... | Alice is not strong. | neutral | (![X]:((tall(X)|~happy(X))=>(generous(X)|kind(X))))&
(![X]:((creative(X)|~funny(X))<=>(generous(X)&~generous(X))))&
(![X]:((patient(X)&~funny(X))=>(~humble(X)<~>creative(X))))&
(![X]:((~calm(X)<~>~brave(X))<=>(rich(X)|~strong(X))))&
(![X]:((creative(X)|~curious(X))=>quiet(X)))&
((?[X]:(~happy(X)))<=>(?[X]:((~rich(X)|wi... | ~strong(alice) | [] | null | 0 |
If susan is not curious or not kind then john is humble.
Everyone who is not humble or not tall is not calm or humble and vice versa.
If susan is both not generous and kind then fred is either not brave or not kind.
Everyone who is both not old and tall is creative or old and vice versa.
Everyone who is both not humble... | Susan is not brave. | entailment | (((~curious(susan)|~kind(susan)))=>(humble(john)))&
(![X]:((~humble(X)|~tall(X))<=>(~calm(X)|humble(X))))&
(((~generous(susan)&kind(susan)))=>((~brave(fred)<~>~kind(fred))))&
(![X]:((~old(X)&tall(X))<=>(creative(X)|old(X))))&
(![X]:((~humble(X)&~patient(X))<=>(~brave(X)|patient(X))))&
(![X]:((~creative(X)|wise(X))=>(~c... | ~brave(susan) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6619266029133731768296323
% SZS output start Proof for 6619266029133731768296323
4. ! [X0] : ((tall(X0) & ~old(X0)) <=> (old(X0) | creative(X0))) [input p3]
7. ! [X0] : ((~tall(X0) | tall(X0)) => (~brave(X0) <~> old(X0))) [input p6]
20. brave(susan) [input hypothesis]
32. ! [X0] : ((~brav... | 0 |
If someone is kind then fred is either not old or funny.
If someone is both humble and generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and not patient the... | Fred is not rich. | entailment | ((?[X]:(kind(X)))=>((~old(fred)<~>funny(fred))))&
((?[X]:((humble(X)&generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:(... | ~rich(fred) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3658372358234329464785578
% SZS output start Proof for 3658372358234329464785578
1. ? [X0] : kind(X0) => (~old(fred) <~> funny(fred)) [input p0]
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~funny(X0) & creative(X0))) [input p3]
5. ? [X0] :... | 0 |
Everyone who is not kind or not brave is strong and vice versa.
Everyone who is strong or not old is either wise or curious.
Everyone who is not tall or kind is old or not generous and vice versa.
If fred is both humble and not happy then lucy is not wise.
If someone is patient then alice is wise or not brave.
If someo... | Mary is creative. | neutral | (![X]:((~kind(X)|~brave(X))<=>strong(X)))&
(![X]:((strong(X)|~old(X))=>(wise(X)<~>curious(X))))&
(![X]:((~tall(X)|kind(X))<=>(old(X)|~generous(X))))&
(((humble(fred)&~happy(fred)))=>(~wise(lucy)))&
((?[X]:(patient(X)))=>((wise(alice)|~brave(alice))))&
((?[X]:((tall(X)<~>~brave(X))))<=>(?[X]:((~quiet(X)&~generous(X)))))... | creative(mary) | [] | null | 0 |
Everyone who is both kind and rich is not generous. Everyone who is kind or happy is not quiet or wise. Everyone who is happy or not old is not tall or not calm and vice versa. Everyone who is tall or not strong is either not generous or not humble and vice versa. Everyone who is generous is not calm or quiet. If someo... | Mary is patient. | contradiction | (![X]:((kind(X)&rich(X))=>~generous(X)))&
(![X]:((kind(X)|happy(X))=>(~quiet(X)|wise(X))))&
(![X]:((happy(X)|~old(X))<=>(~tall(X)|~calm(X))))&
(![X]:((tall(X)|~strong(X))<=>(~generous(X)<~>~humble(X))))&
(![X]:(generous(X)=>(~calm(X)|quiet(X))))&
((?[X]:((~patient(X)<~>rich(X))))<=>((funny(mary)&generous(mary))))&
((?[... | patient(mary) | [
"p3",
"p5",
"p7",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7638269053944074384232752
% SZS output start Proof for 7638269053944074384232752
4. ! [X0] : ((~strong(X0) | tall(X0)) <=> (~generous(X0) <~> ~humble(X0))) [input p3]
6. ? [X0] : (~patient(X0) <~> rich(X0)) <=> (generous(mary) & funny(mary)) [input p5]
8. ! [X0] : ((~rich(X0) & tall(X0)) ... | 0 |
If someone is not wise or funny then someone is happy or tall. If someone is not humble then fred is humble or kind and vice versa. Everyone who is either calm or wise is happy or not rich and vice versa. If someone is either strong or not strong then someone is quiet or strong and vice versa. Everyone who is brave is ... | Fred is calm. | neutral | ((?[X]:((~wise(X)|funny(X))))=>(?[X]:((happy(X)|tall(X)))))&
((?[X]:(~humble(X)))<=>((humble(fred)|kind(fred))))&
(![X]:((calm(X)<~>wise(X))<=>(happy(X)|~rich(X))))&
((?[X]:((strong(X)<~>~strong(X))))<=>(?[X]:((quiet(X)|strong(X)))))&
(![X]:(brave(X)<=>(curious(X)&~happy(X))))&
((?[X]:(rich(X)))=>(?[X]:((humble(X)&rich... | calm(fred) | [] | null | 0 |
Everyone who is humble or not old is not calm or happy.
Everyone who is both curious and not brave is either not funny or not strong and vice versa.
Everyone who is not calm or not generous is either not strong or not patient.
If someone is either not old or not curious then someone is both not kind and not curious.
Ev... | Fred is generous. | entailment | (![X]:((humble(X)|~old(X))=>(~calm(X)|happy(X))))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(X)<~>creative(X))=>(~kind(X)<~>~generous(X))))&
(![X]:((tall(X)... | generous(fred) | [
"p2",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5007430318803728771260055
% SZS output start Proof for 5007430318803728771260055
3. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2]
10. ! [X0] : ((~kind(X0) <~> ~funny(X0)) <=> funny(X0)) [input p9]
11. ! [X0] : ((~brave(X0) | ~quiet(X0)) => (creative(X... | 0 |
If alice is tall or creative then someone is either not generous or not curious and vice versa. If john is both not patient and strong then paul is not funny or humble. Everyone who is funny or quiet is either not humble or not rich. If lucy is either funny or not humble then alice is either humble or not kind. If mary... | Mary is brave. | entailment | (((tall(alice)|creative(alice)))<=>(?[X]:((~generous(X)<~>~curious(X)))))&
(((~patient(john)&strong(john)))=>((~funny(paul)|humble(paul))))&
(![X]:((funny(X)|quiet(X))=>(~humble(X)<~>~rich(X))))&
(((funny(lucy)<~>~humble(lucy)))=>((humble(alice)<~>~kind(alice))))&
(((wise(mary)&~humble(mary)))<=>(?[X]:(~rich(X))))&
((?... | brave(mary) | [
"p4",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5860978918921363340933706
% SZS output start Proof for 5860978918921363340933706
5. (~humble(mary) & wise(mary)) <=> ? [X0] : ~rich(X0) [input p4]
8. ? [X0] : ~rich(X0) <=> ? [X0] : (happy(X0) | ~creative(X0)) [input p7]
11. ! [X0] : ((creative(X0) | patient(X0)) => brave(X0)) [input p10]... | 0 |
If someone is both strong and humble then susan is either not calm or kind and vice versa. If someone is either tall or not rich then someone is old or not kind. If someone is creative then lucy is either not patient or not happy and vice versa. If someone is not patient or funny then someone is brave. If lucy is both ... | Alice is not tall. | contradiction | ((?[X]:((strong(X)&humble(X))))<=>((~calm(susan)<~>kind(susan))))&
((?[X]:((tall(X)<~>~rich(X))))=>(?[X]:((old(X)|~kind(X)))))&
((?[X]:(creative(X)))<=>((~patient(lucy)<~>~happy(lucy))))&
((?[X]:((~patient(X)|funny(X))))=>(?[X]:(brave(X))))&
(((~tall(lucy)&~strong(lucy)))<=>((~patient(mary)|generous(mary))))&
(![X]:(~p... | ~tall(alice) | [
"p5",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 698829344681431145990862
% SZS output start Proof for 698829344681431145990862
6. ! [X0] : (~patient(X0) <=> (tall(X0) & quiet(X0))) [input p5]
14. ! [X0] : ((~wise(X0) <~> patient(X0)) <=> (~humble(X0) | ~wise(X0))) [input p13]
20. ~wise(alice) [input p19]
23. ~tall(alice) [input hypothe... | 0 |
Everyone who is either quiet or not calm is not patient or not strong and vice versa.
If fred is both not tall and not wise then paul is rich or creative.
Everyone who is calm or not kind is not brave or calm and vice versa.
If someone is not old or not curious then someone is curious or not old.
If someone is wise or ... | John is humble. | entailment | (![X]:((quiet(X)<~>~calm(X))<=>(~patient(X)|~strong(X))))&
(((~tall(fred)&~wise(fred)))=>((rich(paul)|creative(paul))))&
(![X]:((calm(X)|~kind(X))<=>(~brave(X)|calm(X))))&
((?[X]:((~old(X)|~curious(X))))=>(?[X]:((curious(X)|~old(X)))))&
((?[X]:((wise(X)|quiet(X))))<=>(~rich(paul)))&
(((~funny(lucy)|creative(lucy)))<=>(... | humble(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5103679493199331635165738
% SZS output start Proof for 5103679493199331635165738
16. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> (~generous(X0) & humble(X0))) [input p15]
25. ~humble(john) [input hypothesis]
72. ! [X0] : (((~brave(X0) | ~humble(X0)) | (generous(X0) | ~humble(X0))) & ((~gener... | 0 |
If someone is not brave then someone is either not brave or not wise and vice versa. Everyone who is quiet or not calm is either brave or kind and vice versa. Everyone who is not rich or brave is not creative and vice versa. Everyone who is both not patient and not curious is kind or brave. If fred is both wise and not... | Fred is rich. | neutral | ((?[X]:(~brave(X)))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(![X]:((quiet(X)|~calm(X))<=>(brave(X)<~>kind(X))))&
(![X]:((~rich(X)|brave(X))<=>~creative(X)))&
(![X]:((~patient(X)&~curious(X))=>(kind(X)|brave(X))))&
(((wise(fred)&~rich(fred)))<=>(?[X]:((quiet(X)&old(X)))))&
(![X]:((patient(X)<~>~happy(X))=>(~creative(X)&~kin... | rich(fred) | [] | null | 0 |
Everyone who is humble or not old is both not curious and strong.
Everyone who is kind or not creative is generous or not calm.
Everyone who is not calm or curious is not strong and vice versa.
If someone is either tall or quiet then susan is not rich or happy.
If someone is not funny or creative then alice is both cur... | Alice is not curious. | neutral | (![X]:((humble(X)|~old(X))=>(~curious(X)&strong(X))))&
(![X]:((kind(X)|~creative(X))=>(generous(X)|~calm(X))))&
(![X]:((~calm(X)|curious(X))<=>~strong(X)))&
((?[X]:((tall(X)<~>quiet(X))))=>((~rich(susan)|happy(susan))))&
((?[X]:((~funny(X)|creative(X))))<=>((curious(alice)&creative(alice))))&
(![X]:((wise(X)<~>quiet(X)... | ~curious(alice) | [] | null | 0 |
Everyone who is both humble and not patient is either not funny or not curious and vice versa.
Everyone who is kind is not old or strong.
Everyone who is either not calm or rich is both quiet and not patient.
Everyone who is both not curious and funny is not humble and vice versa.
If someone is either not funny or not ... | Susan is curious. | entailment | (![X]:((humble(X)&~patient(X))<=>(~funny(X)<~>~curious(X))))&
(![X]:(kind(X)=>(~old(X)|strong(X))))&
(![X]:((~calm(X)<~>rich(X))=>(quiet(X)&~patient(X))))&
(![X]:((~curious(X)&funny(X))<=>~humble(X)))&
((?[X]:((~funny(X)<~>~brave(X))))=>(funny(paul)))&
((?[X]:((curious(X)|~tall(X))))=>(?[X]:((happy(X)|~creative(X)))))&... | curious(susan) | [
"p0",
"p3",
"p4",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5880920099591293369984664
% SZS output start Proof for 5880920099591293369984664
1. ! [X0] : ((~patient(X0) & humble(X0)) <=> (~funny(X0) <~> ~curious(X0))) [input p0]
4. ! [X0] : ((funny(X0) & ~curious(X0)) <=> ~humble(X0)) [input p3]
5. ? [X0] : (~funny(X0) <~> ~brave(X0)) => funny(paul... | 0 |
Everyone who is either not quiet or old is not happy or happy and vice versa.
If alice is not old or not kind then someone is both not wise and happy and vice versa.
Everyone who is brave or old is wise and vice versa.
Everyone who is old is both not old and creative.
If fred is humble or calm then someone is not kind ... | Mary is not patient. | entailment | (![X]:((~quiet(X)<~>old(X))<=>(~happy(X)|happy(X))))&
(((~old(alice)|~kind(alice)))<=>(?[X]:((~wise(X)&happy(X)))))&
(![X]:((brave(X)|old(X))<=>wise(X)))&
(![X]:(old(X)=>(~old(X)&creative(X))))&
(((humble(fred)|calm(fred)))=>(?[X]:((~kind(X)|tall(X)))))&
(![X]:((~humble(X)<~>~wise(X))=>humble(X)))&
(![X]:((brave(X)|fun... | ~patient(mary) | [
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5763213192287936258980269
% SZS output start Proof for 5763213192287936258980269
9. ! [X0] : ((~patient(X0) & ~happy(X0)) <=> (funny(X0) | ~curious(X0))) [input p8]
18. ~tall(mary) & funny(mary) [input p17]
23. patient(mary) [input hypothesis]
49. ! [X0] : (((~patient(X0) & ~happy(X0)) | ... | 0 |
If someone is either not funny or funny then someone is both quiet and not strong and vice versa.
Everyone who is not rich or not wise is either not tall or generous and vice versa.
Everyone who is either humble or not humble is old and vice versa.
If someone is both generous and strong then someone is either not gener... | Paul is not old. | contradiction | ((?[X]:((~funny(X)<~>funny(X))))<=>(?[X]:((quiet(X)&~strong(X)))))&
(![X]:((~rich(X)|~wise(X))<=>(~tall(X)<~>generous(X))))&
(![X]:((humble(X)<~>~humble(X))<=>old(X)))&
((?[X]:((generous(X)&strong(X))))<=>(?[X]:((~generous(X)<~>~wise(X)))))&
((?[X]:((humble(X)|~creative(X))))<=>(~tall(alice)))&
((?[X]:(funny(X)))<=>(?[... | ~old(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4508339964667789964280054
% SZS output start Proof for 4508339964667789964280054
3. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> old(X0)) [input p2]
24. ~old(paul) [input hypothesis]
42. ! [X0] : ((((humble(X0) | ~humble(X0)) & (~humble(X0) | humble(X0))) | ~old(X0)) & (old(X0) | ((humble(X... | 0 |
If mary is both not tall and not humble then someone is old or tall and vice versa.
Everyone who is both not patient and not humble is rich.
Everyone who is either kind or not rich is either not funny or humble.
If someone is either not brave or not wise then someone is either not creative or rich and vice versa.
If so... | Alice is old. | contradiction | (((~tall(mary)&~humble(mary)))<=>(?[X]:((old(X)|tall(X)))))&
(![X]:((~patient(X)&~humble(X))=>rich(X)))&
(![X]:((kind(X)<~>~rich(X))=>(~funny(X)<~>humble(X))))&
((?[X]:((~brave(X)<~>~wise(X))))<=>(?[X]:((~creative(X)<~>rich(X)))))&
((?[X]:((strong(X)|curious(X))))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)|brave(X))<=... | old(alice) | [
"p0",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3108443015115633064333042
% SZS output start Proof for 3108443015115633064333042
1. (~humble(mary) & ~tall(mary)) <=> ? [X0] : (tall(X0) | old(X0)) [input p0]
18. humble(mary) & quiet(mary) [input p17]
24. old(alice) [input hypothesis]
40. ((~humble(mary) & ~tall(mary)) | ! [X0] : (~tall(... | 0 |
Everyone who is not kind is not creative and vice versa.
If someone is either strong or not curious then someone is not kind.
If alice is quiet then paul is either not generous or tall and vice versa.
If alice is tall then someone is patient or not rich.
Everyone who is either tall or creative is both not funny and not... | Alice is not creative. | entailment | (![X]:(~kind(X)<=>~creative(X)))&
((?[X]:((strong(X)<~>~curious(X))))=>(?[X]:(~kind(X))))&
((quiet(alice))<=>((~generous(paul)<~>tall(paul))))&
((tall(alice))=>(?[X]:((patient(X)|~rich(X)))))&
(![X]:((tall(X)<~>creative(X))<=>(~funny(X)&~rich(X))))&
((?[X]:((~generous(X)&generous(X))))=>(?[X]:((~happy(X)&patient(X)))))... | ~creative(alice) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4388023137222239591696908
% SZS output start Proof for 4388023137222239591696908
1. ! [X0] : (~kind(X0) <=> ~creative(X0)) [input p0]
16. ! [X0] : ((kind(X0) | rich(X0)) <=> (~kind(X0) & old(X0))) [input p15]
25. creative(alice) [input hypothesis]
41. ! [X0] : ((~kind(X0) | creative(X0)) ... | 0 |
Everyone who is not curious or not happy is not humble and vice versa. Everyone who is either not humble or happy is either not brave or not patient. Everyone who is not happy is calm. If someone is both not humble and kind then someone is either funny or not funny. Everyone who is either old or wise is either calm or ... | Alice is rich. | entailment | (![X]:((~curious(X)|~happy(X))<=>~humble(X)))&
(![X]:((~humble(X)<~>happy(X))=>(~brave(X)<~>~patient(X))))&
(![X]:(~happy(X)=>calm(X)))&
((?[X]:((~humble(X)&kind(X))))=>(?[X]:((funny(X)<~>~funny(X)))))&
(![X]:((old(X)<~>wise(X))<=>(calm(X)<~>~calm(X))))&
((?[X]:((kind(X)&~funny(X))))<=>(?[X]:((quiet(X)&~rich(X)))))&
((... | rich(alice) | [
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8644794006037758516637598
% SZS output start Proof for 8644794006037758516637598
10. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> patient(X0)) [input p9]
11. ! [X0] : ((tall(X0) & strong(X0)) <=> (curious(X0) | brave(X0))) [input p10]
12. ! [X0] : (patient(X0) <=> (funny(X0) & ~strong(X0))) ... | 0 |
Everyone who is not brave or not humble is both generous and not humble and vice versa.
If alice is not funny or strong then someone is both not calm and not rich.
If someone is both calm and not creative then someone is old or not humble and vice versa.
Everyone who is either not patient or not creative is both not ca... | Susan is patient. | entailment | (![X]:((~brave(X)|~humble(X))<=>(generous(X)&~humble(X))))&
(((~funny(alice)|strong(alice)))=>(?[X]:((~calm(X)&~rich(X)))))&
((?[X]:((calm(X)&~creative(X))))<=>(?[X]:((old(X)|~humble(X)))))&
(![X]:((~patient(X)<~>~creative(X))<=>(~calm(X)&~rich(X))))&
(![X]:((~kind(X)<~>~humble(X))=>(~old(X)<~>~tall(X))))&
(![X]:((calm... | patient(susan) | [
"p0",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1958581603961415667228286
% SZS output start Proof for 1958581603961415667228286
1. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> (~humble(X0) & generous(X0))) [input p0]
8. ! [X0] : ((~brave(X0) <~> ~generous(X0)) <=> (patient(X0) & happy(X0))) [input p7]
12. ! [X0] : ((tall(X0) & generous(X0... | 0 |
If someone is not happy then someone is humble. If someone is either tall or brave then someone is both not humble and not tall. If john is not rich then lucy is both not brave and creative and vice versa. Everyone who is not creative or funny is old or not funny and vice versa. If someone is not wise or not rich then ... | Lucy is not rich. | contradiction | ((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((tall(X)<~>brave(X))))=>(?[X]:((~humble(X)&~tall(X)))))&
((~rich(john))<=>((~brave(lucy)&creative(lucy))))&
(![X]:((~creative(X)|funny(X))<=>(old(X)|~funny(X))))&
((?[X]:((~wise(X)|~rich(X))))<=>((~brave(susan)&~humble(susan))))&
(![X]:(~old(X)<=>patient(X)))&
(![X]:((~... | ~rich(lucy) | [
"p4",
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6567364360310238738907411
% SZS output start Proof for 6567364360310238738907411
5. ? [X0] : (~rich(X0) | ~wise(X0)) <=> (~humble(susan) & ~brave(susan)) [input p4]
7. ! [X0] : ((~humble(X0) <~> humble(X0)) => (funny(X0) <~> kind(X0))) [input p6]
9. ! [X0] : ((kind(X0) | happy(X0)) <=> br... | 0 |
If someone is either generous or not rich then someone is wise and vice versa. Everyone who is both not quiet and not old is happy. Everyone who is not humble or brave is humble and vice versa. If alice is either funny or creative then someone is strong or not patient and vice versa. If fred is not wise or rich then so... | Fred is brave. | entailment | ((?[X]:((generous(X)<~>~rich(X))))<=>(?[X]:(wise(X))))&
(![X]:((~quiet(X)&~old(X))=>happy(X)))&
(![X]:((~humble(X)|brave(X))<=>humble(X)))&
(((funny(alice)<~>creative(alice)))<=>(?[X]:((strong(X)|~patient(X)))))&
(((~wise(fred)|rich(fred)))=>(?[X]:(generous(X))))&
((funny(alice))=>(?[X]:((brave(X)&~patient(X)))))&
((?[... | brave(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 840104601865603632419293
% SZS output start Proof for 840104601865603632419293
3. ! [X0] : ((brave(X0) | ~humble(X0)) <=> humble(X0)) [input p2]
25. ~brave(fred) [input hypothesis]
47. ! [X0] : (((brave(X0) | ~humble(X0)) | ~humble(X0)) & (humble(X0) | (~brave(X0) & humble(X0)))) [nnf tra... | 0 |
Everyone who is both not curious and not quiet is both kind and rich and vice versa.
If alice is not creative or not generous then someone is not curious or not old.
If someone is not generous then lucy is both creative and patient.
Everyone who is both rich and kind is both strong and not patient and vice versa.
Every... | Fred is not generous. | entailment | (![X]:((~curious(X)&~quiet(X))<=>(kind(X)&rich(X))))&
(((~creative(alice)|~generous(alice)))=>(?[X]:((~curious(X)|~old(X)))))&
((?[X]:(~generous(X)))=>((creative(lucy)&patient(lucy))))&
(![X]:((rich(X)&kind(X))<=>(strong(X)&~patient(X))))&
(![X]:((~kind(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((creative(X)&~wise(X))<=>(... | ~generous(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7828772526661978515413401
% SZS output start Proof for 7828772526661978515413401
18. ~generous(fred) & ~quiet(fred) [input p17]
25. generous(fred) [input hypothesis]
133. ~generous(fred) [cnf transformation 18]
142. generous(fred) [cnf transformation 25]
322. $false [subsumption resolutio... | 0 |
If susan is both not strong and not rich then fred is both not strong and wise and vice versa.
If alice is either calm or brave then someone is tall and vice versa.
Everyone who is both old and not rich is tall or strong and vice versa.
Everyone who is either brave or strong is old and vice versa.
Everyone who is eithe... | Alice is old. | contradiction | (((~strong(susan)&~rich(susan)))<=>((~strong(fred)&wise(fred))))&
(((calm(alice)<~>brave(alice)))<=>(?[X]:(tall(X))))&
(![X]:((old(X)&~rich(X))<=>(tall(X)|strong(X))))&
(![X]:((brave(X)<~>strong(X))<=>old(X)))&
(![X]:((~curious(X)<~>~quiet(X))=>(~quiet(X)&generous(X))))&
((?[X]:((rich(X)&funny(X))))<=>(?[X]:((creative(... | old(alice) | [
"p2",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8604015322290422195244505
% SZS output start Proof for 8604015322290422195244505
3. ! [X0] : ((~rich(X0) & old(X0)) <=> (strong(X0) | tall(X0))) [input p2]
14. ! [X0] : ((strong(X0) | ~generous(X0)) <=> (tall(X0) & generous(X0))) [input p13]
24. ~rich(alice) & ~tall(alice) [input p23]
25.... | 0 |
Everyone who is either happy or calm is both not happy and not funny.
If someone is old or not brave then paul is not funny and vice versa.
If paul is not strong or curious then mary is either not kind or creative and vice versa.
Everyone who is either not generous or not rich is either happy or rich.
Everyone who is b... | Paul is kind. | neutral | (![X]:((happy(X)<~>calm(X))=>(~happy(X)&~funny(X))))&
((?[X]:((old(X)|~brave(X))))<=>(~funny(paul)))&
(((~strong(paul)|curious(paul)))<=>((~kind(mary)<~>creative(mary))))&
(![X]:((~generous(X)<~>~rich(X))=>(happy(X)<~>rich(X))))&
(![X]:((~strong(X)&~patient(X))<=>quiet(X)))&
((?[X]:((brave(X)&~rich(X))))<=>(?[X]:((~str... | kind(paul) | [] | null | 0 |
Everyone who is both brave and not wise is both not rich and not strong and vice versa. Everyone who is not rich is either not curious or patient. If someone is both not quiet and not calm then fred is tall or not old. If someone is quiet or calm then alice is both wise and not quiet. If someone is not tall then someon... | Susan is funny. | neutral | (![X]:((brave(X)&~wise(X))<=>(~rich(X)&~strong(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>patient(X))))&
((?[X]:((~quiet(X)&~calm(X))))=>((tall(fred)|~old(fred))))&
((?[X]:((quiet(X)|calm(X))))=>((wise(alice)&~quiet(alice))))&
((?[X]:(~tall(X)))=>(?[X]:((quiet(X)|~calm(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((kind(X)|~calm(X))... | funny(susan) | [] | null | 0 |
If alice is either brave or humble then lucy is either funny or not calm and vice versa.
If someone is either old or calm then someone is either patient or not curious.
Everyone who is both not calm and not brave is happy or not brave.
Everyone who is either not funny or brave is both happy and creative.
Everyone who i... | John is quiet. | entailment | (((brave(alice)<~>humble(alice)))<=>((funny(lucy)<~>~calm(lucy))))&
((?[X]:((old(X)<~>calm(X))))=>(?[X]:((patient(X)<~>~curious(X)))))&
(![X]:((~calm(X)&~brave(X))=>(happy(X)|~brave(X))))&
(![X]:((~funny(X)<~>brave(X))=>(happy(X)&creative(X))))&
(![X]:(~happy(X)=>(~tall(X)&funny(X))))&
((?[X]:(~tall(X)))=>((~generous(j... | quiet(john) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 590927869110108090638281
% SZS output start Proof for 590927869110108090638281
9. (curious(john) & ~kind(john)) <=> ? [X0] : (~quiet(X0) | generous(X0)) [input p8]
15. ! [X0] : (curious(X0) => (strong(X0) & kind(X0))) [input p14]
24. ~quiet(john) [input hypothesis]
41. ! [X0] : ((strong(X... | 0 |
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