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 |
|---|---|---|---|---|---|---|---|
If someone is both not calm and not tall then fred is either not strong or calm.
Everyone who is rich or not calm is either rich or strong.
Everyone who is brave is not rich and vice versa.
If mary is either not brave or humble then fred is kind or old and vice versa.
Everyone who is either not brave or brave is strong... | John is happy. | contradiction | ((?[X]:((~calm(X)&~tall(X))))=>((~strong(fred)<~>calm(fred))))&
(![X]:((rich(X)|~calm(X))=>(rich(X)<~>strong(X))))&
(![X]:(brave(X)<=>~rich(X)))&
(((~brave(mary)<~>humble(mary)))<=>((kind(fred)|old(fred))))&
(![X]:((~brave(X)<~>brave(X))<=>strong(X)))&
(![X]:((old(X)<~>rich(X))<=>(~old(X)&~patient(X))))&
(![X]:((~curio... | happy(john) | [
"p1",
"p4",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8776279689351473671846341
% SZS output start Proof for 8776279689351473671846341
2. ! [X0] : ((~calm(X0) | rich(X0)) => (rich(X0) <~> strong(X0))) [input p1]
5. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> strong(X0)) [input p4]
6. ! [X0] : ((old(X0) <~> rich(X0)) <=> (~patient(X0) & ~old(X0)... | 0 |
If someone is funny then someone is either old or not generous and vice versa.
Everyone who is both not kind and old is both strong and not strong.
Everyone who is not creative or old is both not kind and not curious.
If someone is both not funny and not humble then mary is either creative or brave.
If fred is kind or ... | Alice is generous. | contradiction | ((?[X]:(funny(X)))<=>(?[X]:((old(X)<~>~generous(X)))))&
(![X]:((~kind(X)&old(X))=>(strong(X)&~strong(X))))&
(![X]:((~creative(X)|old(X))=>(~kind(X)&~curious(X))))&
((?[X]:((~funny(X)&~humble(X))))=>((creative(mary)<~>brave(mary))))&
(((kind(fred)|~tall(fred)))=>(?[X]:((~funny(X)|kind(X)))))&
(((~calm(mary)|rich(mary)))... | generous(alice) | [
"p1",
"p2",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2737014152472196497980880
% SZS output start Proof for 2737014152472196497980880
2. ! [X0] : ((old(X0) & ~kind(X0)) => (~strong(X0) & strong(X0))) [input p1]
3. ! [X0] : ((old(X0) | ~creative(X0)) => (~curious(X0) & ~kind(X0))) [input p2]
10. ! [X0] : (kind(X0) => (kind(X0) & ~generous(X0... | 0 |
If someone is either not tall or not strong then someone is both happy and not quiet and vice versa. Everyone who is not strong or old is both creative and patient. If mary is either quiet or patient then fred is either not patient or not calm. If john is both not quiet and not patient then fred is both patient and not... | Paul is curious. | neutral | ((?[X]:((~tall(X)<~>~strong(X))))<=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:((~strong(X)|old(X))=>(creative(X)&patient(X))))&
(((quiet(mary)<~>patient(mary)))=>((~patient(fred)<~>~calm(fred))))&
(((~quiet(john)&~patient(john)))<=>((patient(fred)&~strong(fred))))&
(![X]:((rich(X)|patient(X))<=>(~kind(X)<~>~happy(X))))&
((... | curious(paul) | [] | null | 0 |
Everyone who is both patient and not rich is both not old and old. Everyone who is both not rich and not funny is both not calm and not wise and vice versa. If mary is not creative then someone is both not kind and not quiet and vice versa. Everyone who is both not kind and old is quiet and vice versa. If fred is eithe... | Mary is not brave. | neutral | (![X]:((patient(X)&~rich(X))=>(~old(X)&old(X))))&
(![X]:((~rich(X)&~funny(X))<=>(~calm(X)&~wise(X))))&
((~creative(mary))<=>(?[X]:((~kind(X)&~quiet(X)))))&
(![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<~>generous(fred)))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((creative(X)<~>~curious(X))=>(~creative(X)|happy(X))))&... | ~brave(mary) | [] | null | 0 |
Everyone who is both not generous and wise is not happy or not kind and vice versa. If mary is not curious then alice is either kind or calm and vice versa. Everyone who is humble is creative or calm and vice versa. Everyone who is both not humble and creative is quiet. Everyone who is old or not curious is both not ol... | Fred is creative. | neutral | (![X]:((~generous(X)&wise(X))<=>(~happy(X)|~kind(X))))&
((~curious(mary))<=>((kind(alice)<~>calm(alice))))&
(![X]:(humble(X)<=>(creative(X)|calm(X))))&
(![X]:((~humble(X)&creative(X))=>quiet(X)))&
(![X]:((old(X)|~curious(X))=>(~old(X)&~tall(X))))&
(![X]:((creative(X)<~>old(X))=>(curious(X)|happy(X))))&
(![X]:((~calm(X)... | creative(fred) | [] | null | 0 |
If someone is tall then susan is not kind and vice versa.
Everyone who is old or not funny is either rich or not rich.
Everyone who is both creative and not kind is both strong and not kind and vice versa.
Everyone who is patient or happy is quiet and vice versa.
Everyone who is both rich and old is both calm and not k... | Lucy is not happy. | entailment | ((?[X]:(tall(X)))<=>(~kind(susan)))&
(![X]:((old(X)|~funny(X))=>(rich(X)<~>~rich(X))))&
(![X]:((creative(X)&~kind(X))<=>(strong(X)&~kind(X))))&
(![X]:((patient(X)|happy(X))<=>quiet(X)))&
(![X]:((rich(X)&old(X))<=>(calm(X)&~kind(X))))&
(![X]:((calm(X)&~wise(X))=>calm(X)))&
(((~kind(paul)|~wise(paul)))<=>(?[X]:((creative... | ~happy(lucy) | [
"p3",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1693928492088004379615039
% SZS output start Proof for 1693928492088004379615039
4. ! [X0] : ((happy(X0) | patient(X0)) <=> quiet(X0)) [input p3]
12. ! [X0] : ((calm(X0) | ~quiet(X0)) <=> ~creative(X0)) [input p11]
20. calm(lucy) <~> ~creative(lucy) [input p19]
23. happy(lucy) [input hypo... | 0 |
If someone is old then someone is both happy and not creative and vice versa.
If alice is both not wise and happy then lucy is not generous or kind.
Everyone who is not happy is happy or not strong and vice versa.
If paul is either funny or not kind then fred is not kind.
If fred is funny then fred is humble and vice v... | Mary is not quiet. | entailment | ((?[X]:(old(X)))<=>(?[X]:((happy(X)&~creative(X)))))&
(((~wise(alice)&happy(alice)))=>((~generous(lucy)|kind(lucy))))&
(![X]:(~happy(X)<=>(happy(X)|~strong(X))))&
(((funny(paul)<~>~kind(paul)))=>(~kind(fred)))&
((funny(fred))<=>(humble(fred)))&
((?[X]:(strong(X)))<=>(?[X]:(funny(X))))&
((~rich(john))<=>((~old(lucy)&~fu... | ~quiet(mary) | [
"p2",
"p5",
"p8",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4176472029431990729538628
% SZS output start Proof for 4176472029431990729538628
3. ! [X0] : (~happy(X0) <=> (~strong(X0) | happy(X0))) [input p2]
6. ? [X0] : strong(X0) <=> ? [X0] : funny(X0) [input p5]
9. ? [X0] : (funny(X0) <~> rich(X0)) <=> (brave(john) & kind(john)) [input p8]
12. ! ... | 0 |
Everyone who is happy or strong is not kind or not humble. If someone is both creative and old then someone is not curious. If someone is both old and generous then someone is not wise or creative and vice versa. If mary is strong or creative then someone is generous and vice versa. If fred is both kind and not creativ... | Lucy is not strong. | entailment | (![X]:((happy(X)|strong(X))=>(~kind(X)|~humble(X))))&
((?[X]:((creative(X)&old(X))))=>(?[X]:(~curious(X))))&
((?[X]:((old(X)&generous(X))))<=>(?[X]:((~wise(X)|creative(X)))))&
(((strong(mary)|creative(mary)))<=>(?[X]:(generous(X))))&
(((kind(fred)&~creative(fred)))<=>(?[X]:(~curious(X))))&
(((~rich(lucy)&~humble(lucy))... | ~strong(lucy) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 127678487774619687914235
% SZS output start Proof for 127678487774619687914235
8. ! [X0] : (rich(X0) <=> strong(X0)) [input p7]
10. ! [X0] : ((funny(X0) | ~funny(X0)) => (~rich(X0) & ~tall(X0))) [input p9]
25. strong(lucy) [input hypothesis]
35. ! [X0] : ((~rich(X0) & ~tall(X0)) | (~funny... | 0 |
If someone is either not funny or not generous then mary is happy and vice versa.
If paul is both generous and not quiet then someone is humble.
Everyone who is not calm is not wise or creative.
Everyone who is both not wise and rich is both happy and kind.
If john is funny or wise then mary is strong or kind.
If john ... | John is not patient. | neutral | ((?[X]:((~funny(X)<~>~generous(X))))<=>(happy(mary)))&
(((generous(paul)&~quiet(paul)))=>(?[X]:(humble(X))))&
(![X]:(~calm(X)=>(~wise(X)|creative(X))))&
(![X]:((~wise(X)&rich(X))=>(happy(X)&kind(X))))&
(((funny(john)|wise(john)))=>((strong(mary)|kind(mary))))&
(((~patient(john)&calm(john)))=>(?[X]:(~funny(X))))&
((?[X]... | ~patient(john) | [] | null | 0 |
Everyone who is either not humble or old is not creative.
Everyone who is both humble and not patient is either not strong or old and vice versa.
Everyone who is either not brave or not wise is either happy or not calm and vice versa.
Everyone who is quiet or not creative is either curious or brave.
Everyone who is eit... | Susan is curious. | contradiction | (![X]:((~humble(X)<~>old(X))=>~creative(X)))&
(![X]:((humble(X)&~patient(X))<=>(~strong(X)<~>old(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>(happy(X)<~>~calm(X))))&
(![X]:((quiet(X)|~creative(X))=>(curious(X)<~>brave(X))))&
(![X]:((~old(X)<~>happy(X))=>~old(X)))&
(![X]:((happy(X)&~quiet(X))=>(~curious(X)|funny(X))))&
(![X]... | curious(susan) | [
"p1",
"p3",
"p6",
"p7",
"p10",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5873518026112906436916676
% SZS output start Proof for 5873518026112906436916676
2. ! [X0] : ((~patient(X0) & humble(X0)) <=> (~strong(X0) <~> old(X0))) [input p1]
4. ! [X0] : ((~creative(X0) | quiet(X0)) => (curious(X0) <~> brave(X0))) [input p3]
7. ! [X0] : ((~kind(X0) & ~strong(X0)) <=... | 0 |
Everyone who is either tall or kind is both not rich and not calm and vice versa. Everyone who is both not quiet and not happy is not wise and vice versa. If someone is both calm and not rich then susan is not kind and vice versa. If alice is generous or not curious then john is either happy or brave. If mary is old th... | Fred is happy. | entailment | (![X]:((tall(X)<~>kind(X))<=>(~rich(X)&~calm(X))))&
(![X]:((~quiet(X)&~happy(X))<=>~wise(X)))&
((?[X]:((calm(X)&~rich(X))))<=>(~kind(susan)))&
(((generous(alice)|~curious(alice)))=>((happy(john)<~>brave(john))))&
((old(mary))=>(?[X]:(old(X))))&
(![X]:((~happy(X)|~brave(X))<=>~tall(X)))&
(((~generous(lucy)&~kind(lucy)))... | happy(fred) | [
"p0",
"p2",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7174272746847212250997378
% SZS output start Proof for 7174272746847212250997378
1. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (~calm(X0) & ~rich(X0))) [input p0]
3. ? [X0] : (~rich(X0) & calm(X0)) <=> ~kind(susan) [input p2]
6. ! [X0] : ((~brave(X0) | ~happy(X0)) <=> ~tall(X0)) [input p5]
10.... | 0 |
Everyone who is either wise or calm is either not tall or not quiet.
Everyone who is funny or not patient is curious or not generous.
Everyone who is tall is funny and vice versa.
Everyone who is either not tall or funny is humble.
If someone is either strong or not calm then john is either not brave or not old and vic... | John is not wise. | contradiction | (![X]:((wise(X)<~>calm(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:((funny(X)|~patient(X))=>(curious(X)|~generous(X))))&
(![X]:(tall(X)<=>funny(X)))&
(![X]:((~tall(X)<~>funny(X))=>humble(X)))&
((?[X]:((strong(X)<~>~calm(X))))<=>((~brave(john)<~>~old(john))))&
((tall(paul))<=>(?[X]:((~brave(X)<~>curious(X)))))&
((?[X]:((tall(X... | ~wise(john) | [
"p2",
"p3",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6222009367217507852897245
% SZS output start Proof for 6222009367217507852897245
3. ! [X0] : (tall(X0) <=> funny(X0)) [input p2]
4. ! [X0] : ((~tall(X0) <~> funny(X0)) => humble(X0)) [input p3]
11. ! [X0] : (~patient(X0) => (~old(X0) & wise(X0))) [input p10]
12. ! [X0] : ((humble(X0) <~> ... | 0 |
Everyone who is humble or not old is both wise and generous. Everyone who is both not quiet and not happy is kind or wise and vice versa. Everyone who is creative or not curious is not curious or not kind and vice versa. If alice is either happy or generous then alice is not happy or not wise. Everyone who is not creat... | Fred is not creative. | contradiction | (![X]:((humble(X)|~old(X))=>(wise(X)&generous(X))))&
(![X]:((~quiet(X)&~happy(X))<=>(kind(X)|wise(X))))&
(![X]:((creative(X)|~curious(X))<=>(~curious(X)|~kind(X))))&
(((happy(alice)<~>generous(alice)))=>((~happy(alice)|~wise(alice))))&
(![X]:((~creative(X)|~patient(X))=>~quiet(X)))&
((?[X]:((~curious(X)|~quiet(X))))<=>... | ~creative(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4306419758809309278787649
% SZS output start Proof for 4306419758809309278787649
11. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (creative(X0) & curious(X0))) [input p10]
25. ~creative(fred) [input hypothesis]
53. ! [X0] : ((((tall(X0) | ~tall(X0)) & (~tall(X0) | tall(X0))) | (~creative(X0) | ... | 0 |
If someone is both not rich and not patient then alice is not brave and vice versa.
If someone is either strong or not old then someone is not funny or not strong and vice versa.
Everyone who is not old is not wise and vice versa.
Everyone who is both calm and not funny is both not brave and calm.
Everyone who is brave... | Mary is not kind. | neutral | ((?[X]:((~rich(X)&~patient(X))))<=>(~brave(alice)))&
((?[X]:((strong(X)<~>~old(X))))<=>(?[X]:((~funny(X)|~strong(X)))))&
(![X]:(~old(X)<=>~wise(X)))&
(![X]:((calm(X)&~funny(X))=>(~brave(X)&calm(X))))&
(![X]:(brave(X)=>(rich(X)<~>curious(X))))&
(![X]:(generous(X)<=>(~curious(X)|wise(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((... | ~kind(mary) | [] | null | 0 |
If lucy is generous or rich then someone is not kind and vice versa.
If someone is wise or patient then lucy is not rich and vice versa.
If paul is curious or not brave then someone is either not tall or calm and vice versa.
Everyone who is either not wise or not happy is both wise and humble and vice versa.
If fred is... | Lucy is rich. | contradiction | (((generous(lucy)|rich(lucy)))<=>(?[X]:(~kind(X))))&
((?[X]:((wise(X)|patient(X))))<=>(~rich(lucy)))&
(((curious(paul)|~brave(paul)))<=>(?[X]:((~tall(X)<~>calm(X)))))&
(![X]:((~wise(X)<~>~happy(X))<=>(wise(X)&humble(X))))&
((old(fred))<=>((wise(mary)<~>calm(mary))))&
(((~calm(paul)&kind(paul)))=>(?[X]:((calm(X)<~>wise(... | rich(lucy) | [
"p1",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2964111107458752186460898
% SZS output start Proof for 2964111107458752186460898
2. ? [X0] : (patient(X0) | wise(X0)) <=> ~rich(lucy) [input p1]
18. ? [X0] : wise(X0) [input p17]
25. rich(lucy) [input hypothesis]
43. (? [X0] : (patient(X0) | wise(X0)) | rich(lucy)) & (~rich(lucy) | ! [X0]... | 0 |
Everyone who is not patient is either not happy or humble.
If john is both not curious and not happy then mary is not humble or not kind and vice versa.
Everyone who is either not brave or not tall is not old or calm and vice versa.
Everyone who is not happy or not creative is strong or not humble.
Everyone who is both... | Fred is not curious. | entailment | (![X]:(~patient(X)=>(~happy(X)<~>humble(X))))&
(((~curious(john)&~happy(john)))<=>((~humble(mary)|~kind(mary))))&
(![X]:((~brave(X)<~>~tall(X))<=>(~old(X)|calm(X))))&
(![X]:((~happy(X)|~creative(X))=>(strong(X)|~humble(X))))&
(![X]:((kind(X)&old(X))<=>(curious(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>~funny(X)... | ~curious(fred) | [
"p5",
"p6",
"p7",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9040825762807976139898592
% SZS output start Proof for 9040825762807976139898592
6. ! [X0] : ((~curious(X0) & ~old(X0)) <=> ~funny(X0)) [input p5]
7. ! [X0] : ((happy(X0) | funny(X0)) <=> (quiet(X0) | ~brave(X0))) [input p6]
8. ! [X0] : ((~rich(X0) | funny(X0)) => (~quiet(X0) <~> wise(X0)... | 0 |
Everyone who is patient or generous is both patient and humble and vice versa. Everyone who is either not old or curious is wise. If someone is either quiet or calm then lucy is both quiet and generous. If fred is not brave or not curious then someone is either not humble or not kind. If lucy is either strong or happy ... | Paul is brave. | contradiction | (![X]:((patient(X)|generous(X))<=>(patient(X)&humble(X))))&
(![X]:((~old(X)<~>curious(X))=>wise(X)))&
((?[X]:((quiet(X)<~>calm(X))))=>((quiet(lucy)&generous(lucy))))&
(((~brave(fred)|~curious(fred)))=>(?[X]:((~humble(X)<~>~kind(X)))))&
(((strong(lucy)<~>happy(lucy)))=>(patient(fred)))&
((?[X]:((~quiet(X)&~tall(X))))<=>... | brave(paul) | [
"p6",
"p13",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 665185527615969725282321
% SZS output start Proof for 665185527615969725282321
7. ? [X0] : (strong(X0) | ~quiet(X0)) <=> (~kind(alice) & ~generous(alice)) [input p6]
14. ! [X0] : ((quiet(X0) <~> ~curious(X0)) => ~brave(X0)) [input p13]
17. curious(paul) [input p16]
21. ~strong(alice) & ge... | 0 |
Everyone who is patient is generous.
Everyone who is both not tall and brave is rich.
If mary is both not kind and patient then someone is either not generous or not wise.
If someone is both not wise and not brave then mary is calm or creative.
Everyone who is either tall or not funny is either not rich or quiet.
If so... | Susan is not tall. | contradiction | (![X]:(patient(X)=>generous(X)))&
(![X]:((~tall(X)&brave(X))=>rich(X)))&
(((~kind(mary)&patient(mary)))=>(?[X]:((~generous(X)<~>~wise(X)))))&
((?[X]:((~wise(X)&~brave(X))))=>((calm(mary)|creative(mary))))&
(![X]:((tall(X)<~>~funny(X))=>(~rich(X)<~>quiet(X))))&
((?[X]:(happy(X)))<=>((~generous(susan)&brave(susan))))&
(!... | ~tall(susan) | [
"p0",
"p5",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5098320862127271963776753
% SZS output start Proof for 5098320862127271963776753
1. ! [X0] : (patient(X0) => generous(X0)) [input p0]
6. ? [X0] : happy(X0) <=> (brave(susan) & ~generous(susan)) [input p5]
7. ! [X0] : ((~old(X0) <~> patient(X0)) => (~brave(X0) & wise(X0))) [input p6]
13. !... | 0 |
If susan is not old then someone is not brave or not old.
If someone is either not funny or not patient then someone is either not patient or funny.
Everyone who is quiet is not funny or not curious and vice versa.
Everyone who is patient or not humble is either happy or patient and vice versa.
Everyone who is either n... | Paul is not quiet. | contradiction | ((~old(susan))=>(?[X]:((~brave(X)|~old(X)))))&
((?[X]:((~funny(X)<~>~patient(X))))=>(?[X]:((~patient(X)<~>funny(X)))))&
(![X]:(quiet(X)<=>(~funny(X)|~curious(X))))&
(![X]:((patient(X)|~humble(X))<=>(happy(X)<~>patient(X))))&
(![X]:((~calm(X)<~>calm(X))=>~creative(X)))&
((?[X]:((~patient(X)&wise(X))))=>(?[X]:((funny(X)<... | ~quiet(paul) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6337789591084002766802222
% SZS output start Proof for 6337789591084002766802222
3. ! [X0] : (quiet(X0) <=> (~curious(X0) | ~funny(X0))) [input p2]
10. ! [X0] : ((quiet(X0) <~> funny(X0)) => ~funny(X0)) [input p9]
24. ~quiet(paul) [input hypothesis]
32. ! [X0] : (~funny(X0) | (quiet(X0) <... | 0 |
If alice is either not humble or not funny then someone is calm and vice versa.
Everyone who is not old is either not calm or not brave and vice versa.
If someone is not patient or rich then someone is both not creative and funny.
If fred is either not rich or generous then someone is kind and vice versa.
Everyone who ... | Susan is old. | neutral | (((~humble(alice)<~>~funny(alice)))<=>(?[X]:(calm(X))))&
(![X]:(~old(X)<=>(~calm(X)<~>~brave(X))))&
((?[X]:((~patient(X)|rich(X))))=>(?[X]:((~creative(X)&funny(X)))))&
(((~rich(fred)<~>generous(fred)))<=>(?[X]:(kind(X))))&
(![X]:((~strong(X)<~>~humble(X))=>(rich(X)<~>~quiet(X))))&
(![X]:(~happy(X)<=>(~rich(X)&humble(X)... | old(susan) | [] | null | 0 |
Everyone who is not humble is either not brave or tall and vice versa. If lucy is not happy then fred is not humble or tall. Everyone who is both humble and not creative is both strong and brave. If lucy is both not happy and not creative then lucy is both old and not calm. Everyone who is not calm or creative is quiet... | Mary is not tall. | contradiction | (![X]:(~humble(X)<=>(~brave(X)<~>tall(X))))&
((~happy(lucy))=>((~humble(fred)|tall(fred))))&
(![X]:((humble(X)&~creative(X))=>(strong(X)&brave(X))))&
(((~happy(lucy)&~creative(lucy)))=>((old(lucy)&~calm(lucy))))&
(![X]:((~calm(X)|creative(X))<=>(quiet(X)|brave(X))))&
(![X]:((~calm(X)|strong(X))=>~creative(X)))&
((?[X]:... | ~tall(mary) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4928645344907916369165820
% SZS output start Proof for 4928645344907916369165820
3. ! [X0] : ((~creative(X0) & humble(X0)) => (brave(X0) & strong(X0))) [input p2]
5. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (brave(X0) | quiet(X0))) [input p4]
6. ! [X0] : ((strong(X0) | ~calm(X0)) => ~crea... | 0 |
If someone is not strong then paul is either curious or not old and vice versa. If lucy is not funny then someone is tall. If fred is tall or strong then someone is either funny or not funny. If john is either rich or not generous then someone is happy. If mary is rich then someone is either not calm or not kind and vi... | Paul is old. | neutral | ((?[X]:(~strong(X)))<=>((curious(paul)<~>~old(paul))))&
((~funny(lucy))=>(?[X]:(tall(X))))&
(((tall(fred)|strong(fred)))=>(?[X]:((funny(X)<~>~funny(X)))))&
(((rich(john)<~>~generous(john)))=>(?[X]:(happy(X))))&
((rich(mary))<=>(?[X]:((~calm(X)<~>~kind(X)))))&
(((creative(mary)|~generous(mary)))=>(?[X]:(~old(X))))&
(![X... | old(paul) | [] | null | 0 |
If lucy is not old or old then john is tall and vice versa. Everyone who is both not old and not patient is either quiet or not old. If someone is not funny or old then someone is either curious or rich. If alice is both old and rich then lucy is not rich and vice versa. Everyone who is both not patient and not rich is... | John is funny. | entailment | (((~old(lucy)|old(lucy)))<=>(tall(john)))&
(![X]:((~old(X)&~patient(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((~funny(X)|old(X))))=>(?[X]:((curious(X)<~>rich(X)))))&
(((old(alice)&rich(alice)))<=>(~rich(lucy)))&
(![X]:((~patient(X)&~rich(X))<=>(creative(X)<~>humble(X))))&
(![X]:((funny(X)|generous(X))=>(~strong(X)&~kind(X))... | funny(john) | [
"p7",
"p8",
"p9",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 115916847510635035323230
% SZS output start Proof for 115916847510635035323230
8. ! [X0] : (~old(X0) <=> (patient(X0) & rich(X0))) [input p7]
9. ! [X0] : (~calm(X0) <=> happy(X0)) [input p8]
10. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> (quiet(X0) & ~funny(X0))) [input p9]
11. ! [X0] : (c... | 0 |
If someone is both quiet and not quiet then someone is either patient or not happy.
If mary is not funny then lucy is calm or not kind.
Everyone who is not quiet or not rich is both creative and generous and vice versa.
If someone is brave or not strong then susan is rich.
Everyone who is either calm or patient is quie... | Mary is wise. | neutral | ((?[X]:((quiet(X)&~quiet(X))))=>(?[X]:((patient(X)<~>~happy(X)))))&
((~funny(mary))=>((calm(lucy)|~kind(lucy))))&
(![X]:((~quiet(X)|~rich(X))<=>(creative(X)&generous(X))))&
((?[X]:((brave(X)|~strong(X))))=>(rich(susan)))&
(![X]:((calm(X)<~>patient(X))=>(quiet(X)|~old(X))))&
((?[X]:((~tall(X)<~>curious(X))))=>((generous... | wise(mary) | [] | null | 0 |
Everyone who is both not kind and wise is curious or brave and vice versa. If someone is both not curious and not calm then fred is old and vice versa. Everyone who is kind is both quiet and not happy and vice versa. Everyone who is curious or wise is wise or tall and vice versa. Everyone who is both generous and not k... | John is not wise. | neutral | (![X]:((~kind(X)&wise(X))<=>(curious(X)|brave(X))))&
((?[X]:((~curious(X)&~calm(X))))<=>(old(fred)))&
(![X]:(kind(X)<=>(quiet(X)&~happy(X))))&
(![X]:((curious(X)|wise(X))<=>(wise(X)|tall(X))))&
(![X]:((generous(X)&~kind(X))<=>(~rich(X)&quiet(X))))&
((?[X]:((happy(X)&generous(X))))=>((wise(fred)&~rich(fred))))&
(![X]:((... | ~wise(john) | [] | null | 0 |
Everyone who is either not patient or old is funny and vice versa. Everyone who is funny or kind is old and vice versa. Everyone who is curious is happy or not quiet and vice versa. Everyone who is old or not curious is either not brave or tall. Everyone who is old or not quiet is either not brave or not generous and v... | Mary is humble. | neutral | (![X]:((~patient(X)<~>old(X))<=>funny(X)))&
(![X]:((funny(X)|kind(X))<=>old(X)))&
(![X]:(curious(X)<=>(happy(X)|~quiet(X))))&
(![X]:((old(X)|~curious(X))=>(~brave(X)<~>tall(X))))&
(![X]:((old(X)|~quiet(X))<=>(~brave(X)<~>~generous(X))))&
(![X]:((happy(X)&~happy(X))<=>(~old(X)&strong(X))))&
((funny(john))=>(?[X]:((humbl... | humble(mary) | [] | null | 0 |
If someone is both humble and tall then susan is either not calm or not quiet. If susan is not tall then someone is either not wise or not funny. Everyone who is both happy and patient is calm and vice versa. If someone is strong then someone is both strong and not old and vice versa. Everyone who is both happy and cal... | Lucy is not old. | neutral | ((?[X]:((humble(X)&tall(X))))=>((~calm(susan)<~>~quiet(susan))))&
((~tall(susan))=>(?[X]:((~wise(X)<~>~funny(X)))))&
(![X]:((happy(X)&patient(X))<=>calm(X)))&
((?[X]:(strong(X)))<=>(?[X]:((strong(X)&~old(X)))))&
(![X]:((happy(X)&calm(X))=>(~patient(X)<~>brave(X))))&
((?[X]:((~calm(X)|~kind(X))))=>(?[X]:((humble(X)<~>ki... | ~old(lucy) | [] | null | 0 |
Everyone who is not brave is old.
If someone is either not funny or not curious then fred is either not kind or happy and vice versa.
If susan is both patient and creative then someone is tall or not generous and vice versa.
If fred is not creative or not happy then someone is either not quiet or not rich.
If mary is p... | Susan is creative. | entailment | (![X]:(~brave(X)=>old(X)))&
((?[X]:((~funny(X)<~>~curious(X))))<=>((~kind(fred)<~>happy(fred))))&
(((patient(susan)&creative(susan)))<=>(?[X]:((tall(X)|~generous(X)))))&
(((~creative(fred)|~happy(fred)))=>(?[X]:((~quiet(X)<~>~rich(X)))))&
(((patient(mary)|~kind(mary)))=>((~rich(susan)<~>~quiet(susan))))&
(![X]:((~tall(... | creative(susan) | [
"p2",
"p6",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9056160132751340597572795
% SZS output start Proof for 9056160132751340597572795
3. (creative(susan) & patient(susan)) <=> ? [X0] : (~generous(X0) | tall(X0)) [input p2]
7. ? [X0] : strong(X0) => (humble(fred) & old(fred)) [input p6]
8. ! [X0] : ((~brave(X0) & ~funny(X0)) <=> ~strong(X0))... | 0 |
Everyone who is not wise is both brave and creative and vice versa.
Everyone who is both not quiet and patient is either humble or not creative.
Everyone who is either not curious or patient is either wise or not funny and vice versa.
Everyone who is not rich is both funny and kind.
If lucy is both rich and not rich th... | Mary is not curious. | contradiction | (![X]:(~wise(X)<=>(brave(X)&creative(X))))&
(![X]:((~quiet(X)&patient(X))=>(humble(X)<~>~creative(X))))&
(![X]:((~curious(X)<~>patient(X))<=>(wise(X)<~>~funny(X))))&
(![X]:(~rich(X)=>(funny(X)&kind(X))))&
(((rich(lucy)&~rich(lucy)))<=>((~rich(susan)&~kind(susan))))&
(![X]:((quiet(X)&~strong(X))<=>(tall(X)&~brave(X))))&... | ~curious(mary) | [
"p3",
"p7",
"p10",
"p12",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4436047549016428018404520
% SZS output start Proof for 4436047549016428018404520
4. ! [X0] : (~rich(X0) => (kind(X0) & funny(X0))) [input p3]
8. ! [X0] : ((~wise(X0) | calm(X0)) <=> ~funny(X0)) [input p7]
11. ! [X0] : ((~funny(X0) & ~rich(X0)) <=> (kind(X0) <~> ~curious(X0))) [input p10]
... | 0 |
Everyone who is not rich is both rich and not curious and vice versa.
Everyone who is either not curious or wise is wise and vice versa.
If someone is not quiet or wise then someone is either not happy or humble.
Everyone who is both quiet and not humble is both calm and happy and vice versa.
If john is calm or funny t... | Fred is not patient. | neutral | (![X]:(~rich(X)<=>(rich(X)&~curious(X))))&
(![X]:((~curious(X)<~>wise(X))<=>wise(X)))&
((?[X]:((~quiet(X)|wise(X))))=>(?[X]:((~happy(X)<~>humble(X)))))&
(![X]:((quiet(X)&~humble(X))<=>(calm(X)&happy(X))))&
(((calm(john)|funny(john)))<=>((~patient(lucy)<~>kind(lucy))))&
(((kind(susan)<~>curious(susan)))=>((~creative(ali... | ~patient(fred) | [] | null | 0 |
If someone is curious or not happy then fred is wise or happy and vice versa.
If someone is either not creative or not curious then someone is not curious.
Everyone who is either quiet or humble is not brave.
If fred is both not generous and funny then mary is either not creative or not brave.
Everyone who is both not ... | Alice is brave. | neutral | ((?[X]:((curious(X)|~happy(X))))<=>((wise(fred)|happy(fred))))&
((?[X]:((~creative(X)<~>~curious(X))))=>(?[X]:(~curious(X))))&
(![X]:((quiet(X)<~>humble(X))=>~brave(X)))&
(((~generous(fred)&funny(fred)))=>((~creative(mary)<~>~brave(mary))))&
(![X]:((~calm(X)&~quiet(X))<=>(~brave(X)<~>~patient(X))))&
((?[X]:(humble(X)))... | brave(alice) | [] | null | 0 |
Everyone who is either not brave or strong is both not brave and not rich and vice versa.
If paul is not generous then lucy is either quiet or not calm and vice versa.
Everyone who is funny is either not calm or not rich and vice versa.
Everyone who is generous or patient is both not calm and not generous.
If someone i... | John is tall. | entailment | (![X]:((~brave(X)<~>strong(X))<=>(~brave(X)&~rich(X))))&
((~generous(paul))<=>((quiet(lucy)<~>~calm(lucy))))&
(![X]:(funny(X)<=>(~calm(X)<~>~rich(X))))&
(![X]:((generous(X)|patient(X))=>(~calm(X)&~generous(X))))&
((?[X]:((~calm(X)|~humble(X))))<=>(?[X]:(tall(X))))&
(![X]:((~tall(X)&~brave(X))=>(brave(X)|~rich(X))))&
((... | tall(john) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2581725744151491806332456
% SZS output start Proof for 2581725744151491806332456
1. ! [X0] : ((~brave(X0) <~> strong(X0)) <=> (~rich(X0) & ~brave(X0))) [input p0]
3. ! [X0] : (funny(X0) <=> (~calm(X0) <~> ~rich(X0))) [input p2]
4. ! [X0] : ((patient(X0) | generous(X0)) => (~generous(X0) &... | 0 |
Everyone who is strong or not wise is brave and vice versa.
Everyone who is rich is quiet or kind.
If someone is either not funny or not strong then fred is not old and vice versa.
Everyone who is both generous and quiet is either humble or not humble.
If someone is both not tall and happy then lucy is not patient or q... | Fred is generous. | contradiction | (![X]:((strong(X)|~wise(X))<=>brave(X)))&
(![X]:(rich(X)=>(quiet(X)|kind(X))))&
((?[X]:((~funny(X)<~>~strong(X))))<=>(~old(fred)))&
(![X]:((generous(X)&quiet(X))=>(humble(X)<~>~humble(X))))&
((?[X]:((~tall(X)&happy(X))))=>((~patient(lucy)|quiet(lucy))))&
(![X]:((~patient(X)&~rich(X))=>strong(X)))&
(![X]:((rich(X)&stron... | generous(fred) | [
"p1",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4748971448274429835225696
% SZS output start Proof for 4748971448274429835225696
2. ! [X0] : (rich(X0) => (kind(X0) | quiet(X0))) [input p1]
10. ! [X0] : ((generous(X0) | old(X0)) <=> (~quiet(X0) & calm(X0))) [input p9]
11. ! [X0] : (~quiet(X0) => ~kind(X0)) [input p10]
18. rich(fred) [in... | 0 |
Everyone who is either not generous or humble is either patient or not brave. If fred is both not tall and funny then someone is not brave. If paul is both old and not brave then someone is either not creative or funny and vice versa. Everyone who is not quiet or kind is quiet or not funny. Everyone who is both not tal... | Fred is not tall. | neutral | (![X]:((~generous(X)<~>humble(X))=>(patient(X)<~>~brave(X))))&
(((~tall(fred)&funny(fred)))=>(?[X]:(~brave(X))))&
(((old(paul)&~brave(paul)))<=>(?[X]:((~creative(X)<~>funny(X)))))&
(![X]:((~quiet(X)|kind(X))=>(quiet(X)|~funny(X))))&
(![X]:((~tall(X)&brave(X))<=>(~rich(X)|wise(X))))&
(![X]:(~kind(X)=>(generous(X)&~stron... | ~tall(fred) | [] | null | 0 |
Everyone who is not brave is humble. Everyone who is both tall and not calm is both patient and not wise and vice versa. If lucy is either not quiet or kind then alice is both not humble and quiet. If someone is not calm then susan is not funny. Everyone who is wise or patient is happy and vice versa. If someone is eit... | Lucy is not old. | entailment | (![X]:(~brave(X)=>humble(X)))&
(![X]:((tall(X)&~calm(X))<=>(patient(X)&~wise(X))))&
(((~quiet(lucy)<~>kind(lucy)))=>((~humble(alice)&quiet(alice))))&
((?[X]:(~calm(X)))=>(~funny(susan)))&
(![X]:((wise(X)|patient(X))<=>happy(X)))&
((?[X]:((generous(X)<~>~funny(X))))=>((~old(paul)<~>generous(paul))))&
(((~creative(susan)... | ~old(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7298338830518112582124076
% SZS output start Proof for 7298338830518112582124076
10. ! [X0] : ((wise(X0) & ~wise(X0)) <=> old(X0)) [input p9]
25. old(lucy) [input hypothesis]
50. ! [X0] : (((wise(X0) & ~wise(X0)) | ~old(X0)) & (old(X0) | (~wise(X0) | wise(X0)))) [nnf transformation 10]
51... | 0 |
Everyone who is not humble is happy and vice versa.
If someone is rich then john is not strong or patient and vice versa.
If alice is wise or old then someone is either generous or not creative.
Everyone who is wise is either not kind or not funny and vice versa.
Everyone who is both generous and happy is rich or not w... | Lucy is not funny. | neutral | (![X]:(~humble(X)<=>happy(X)))&
((?[X]:(rich(X)))<=>((~strong(john)|patient(john))))&
(((wise(alice)|old(alice)))=>(?[X]:((generous(X)<~>~creative(X)))))&
(![X]:(wise(X)<=>(~kind(X)<~>~funny(X))))&
(![X]:((generous(X)&happy(X))<=>(rich(X)|~wise(X))))&
(![X]:(patient(X)<=>(~wise(X)<~>generous(X))))&
(![X]:(happy(X)=>(~g... | ~funny(lucy) | [] | null | 0 |
If someone is not generous then someone is generous.
Everyone who is both brave and not happy is not creative and vice versa.
If john is creative then someone is brave.
Everyone who is both happy and not creative is either tall or calm.
If alice is curious or generous then paul is not rich or not wise and vice versa.
E... | John is humble. | neutral | ((?[X]:(~generous(X)))=>(?[X]:(generous(X))))&
(![X]:((brave(X)&~happy(X))<=>~creative(X)))&
((creative(john))=>(?[X]:(brave(X))))&
(![X]:((happy(X)&~creative(X))=>(tall(X)<~>calm(X))))&
(((curious(alice)|generous(alice)))<=>((~rich(paul)|~wise(paul))))&
(![X]:((~old(X)<~>generous(X))<=>(~old(X)&~quiet(X))))&
(![X]:((r... | humble(john) | [] | null | 0 |
Everyone who is happy is not creative.
Everyone who is both not strong and not humble is both generous and not brave.
Everyone who is both not humble and wise is creative and vice versa.
Everyone who is either not strong or not patient is kind.
If someone is wise or not brave then someone is either rich or not quiet.
E... | Mary is brave. | entailment | (![X]:(happy(X)=>~creative(X)))&
(![X]:((~strong(X)&~humble(X))=>(generous(X)&~brave(X))))&
(![X]:((~humble(X)&wise(X))<=>creative(X)))&
(![X]:((~strong(X)<~>~patient(X))=>kind(X)))&
((?[X]:((wise(X)|~brave(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
(![X]:((~wise(X)<~>kind(X))=>(happy(X)&tall(X))))&
(![X]:((funny(X)<~>~cr... | brave(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 849898711347074853805049
% SZS output start Proof for 849898711347074853805049
12. ! [X0] : (~strong(X0) <=> (strong(X0) <~> brave(X0))) [input p11]
21. ~brave(mary) [input hypothesis]
51. ! [X0] : ((~strong(X0) | ((strong(X0) | ~brave(X0)) & (brave(X0) | ~strong(X0)))) & (((~brave(X0) | ... | 0 |
Everyone who is both not old and not kind is both calm and not old and vice versa.
Everyone who is both brave and old is funny or old.
Everyone who is both not brave and not kind is either creative or not humble.
Everyone who is both not curious and humble is either wise or calm.
If mary is humble then lucy is either n... | Paul is not old. | contradiction | (![X]:((~old(X)&~kind(X))<=>(calm(X)&~old(X))))&
(![X]:((brave(X)&old(X))=>(funny(X)|old(X))))&
(![X]:((~brave(X)&~kind(X))=>(creative(X)<~>~humble(X))))&
(![X]:((~curious(X)&humble(X))=>(wise(X)<~>calm(X))))&
((humble(mary))=>((~patient(lucy)<~>~wise(lucy))))&
(![X]:((~calm(X)&curious(X))<=>~kind(X)))&
(![X]:((~wise(X... | ~old(paul) | [
"p0",
"p5",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4756497015301249586909408
% SZS output start Proof for 4756497015301249586909408
1. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~old(X0) & calm(X0))) [input p0]
6. ! [X0] : ((curious(X0) & ~calm(X0)) <=> ~kind(X0)) [input p5]
8. ! [X0] : ((~calm(X0) | ~funny(X0)) <=> ~curious(X0)) [input p7]
10... | 0 |
Everyone who is creative or not creative is not humble or happy.
Everyone who is either not humble or wise is not kind and vice versa.
Everyone who is not generous or happy is not creative.
If lucy is both generous and strong then someone is wise or quiet and vice versa.
If john is happy or not creative then mary is br... | Fred is not humble. | entailment | (![X]:((creative(X)|~creative(X))=>(~humble(X)|happy(X))))&
(![X]:((~humble(X)<~>wise(X))<=>~kind(X)))&
(![X]:((~generous(X)|happy(X))=>~creative(X)))&
(((generous(lucy)&strong(lucy)))<=>(?[X]:((wise(X)|quiet(X)))))&
(((happy(john)|~creative(john)))=>(brave(mary)))&
(![X]:((curious(X)|strong(X))=>~generous(X)))&
((?[X]... | ~humble(fred) | [
"p0",
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3771681764267805936474605
% SZS output start Proof for 3771681764267805936474605
1. ! [X0] : ((~creative(X0) | creative(X0)) => (happy(X0) | ~humble(X0))) [input p0]
3. ! [X0] : ((happy(X0) | ~generous(X0)) => ~creative(X0)) [input p2]
17. brave(fred) & creative(fred) [input p16]
25. humb... | 0 |
If someone is not strong then someone is either old or not brave and vice versa. Everyone who is not generous or not wise is brave. If john is happy or humble then lucy is both not patient and happy and vice versa. If someone is old or not brave then someone is not wise or brave. If someone is either funny or strong th... | Mary is not patient. | entailment | ((?[X]:(~strong(X)))<=>(?[X]:((old(X)<~>~brave(X)))))&
(![X]:((~generous(X)|~wise(X))=>brave(X)))&
(((happy(john)|humble(john)))<=>((~patient(lucy)&happy(lucy))))&
((?[X]:((old(X)|~brave(X))))=>(?[X]:((~wise(X)|brave(X)))))&
((?[X]:((funny(X)<~>strong(X))))<=>((~rich(john)<~>~kind(john))))&
(![X]:(humble(X)=>(~tall(X)<... | ~patient(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5284808336883642925269200
% SZS output start Proof for 5284808336883642925269200
11. ! [X0] : (rich(X0) <=> (~rich(X0) & patient(X0))) [input p10]
25. patient(mary) [input hypothesis]
59. ! [X0] : ((rich(X0) | (rich(X0) | ~patient(X0))) & ((~rich(X0) & patient(X0)) | ~rich(X0))) [nnf tran... | 0 |
Everyone who is not kind is tall or not curious.
Everyone who is creative or not patient is not kind and vice versa.
If someone is not funny then susan is both not wise and patient and vice versa.
If someone is either curious or tall then someone is either not happy or not generous and vice versa.
Everyone who is creat... | Mary is not tall. | contradiction | (![X]:(~kind(X)=>(tall(X)|~curious(X))))&
(![X]:((creative(X)|~patient(X))<=>~kind(X)))&
((?[X]:(~funny(X)))<=>((~wise(susan)&patient(susan))))&
((?[X]:((curious(X)<~>tall(X))))<=>(?[X]:((~happy(X)<~>~generous(X)))))&
(![X]:((creative(X)|~humble(X))=>curious(X)))&
(((~creative(john)&~curious(john)))=>((~curious(mary)&~... | ~tall(mary) | [
"p0",
"p1",
"p4",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 607472646122536735507508
% SZS output start Proof for 607472646122536735507508
1. ! [X0] : (~kind(X0) => (~curious(X0) | tall(X0))) [input p0]
2. ! [X0] : ((~patient(X0) | creative(X0)) <=> ~kind(X0)) [input p1]
5. ! [X0] : ((~humble(X0) | creative(X0)) => curious(X0)) [input p4]
7. ! [X0... | 0 |
If lucy is not quiet then mary is not wise or patient. If someone is not calm then someone is funny. Everyone who is both brave and quiet is both not wise and not calm. Everyone who is both not funny and not generous is not rich or not kind and vice versa. If someone is not curious then john is either not happy or calm... | Paul is not rich. | contradiction | ((~quiet(lucy))=>((~wise(mary)|patient(mary))))&
((?[X]:(~calm(X)))=>(?[X]:(funny(X))))&
(![X]:((brave(X)&quiet(X))=>(~wise(X)&~calm(X))))&
(![X]:((~funny(X)&~generous(X))<=>(~rich(X)|~kind(X))))&
((?[X]:(~curious(X)))=>((~happy(john)<~>calm(john))))&
((humble(lucy))=>((kind(fred)<~>~humble(fred))))&
((?[X]:((curious(X... | ~rich(paul) | [
"p3",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 896994996029393227450699
% SZS output start Proof for 896994996029393227450699
4. ! [X0] : ((~generous(X0) & ~funny(X0)) <=> (~kind(X0) | ~rich(X0))) [input p3]
24. generous(paul) & happy(paul) [input p23]
25. ~rich(paul) [input hypothesis]
47. ! [X0] : (((~generous(X0) & ~funny(X0)) | (k... | 0 |
Everyone who is funny or not strong is either wise or patient and vice versa. If lucy is both brave and funny then someone is humble or not generous. If lucy is either wise or rich then someone is both not humble and not happy and vice versa. If alice is both kind and tall then lucy is not kind or not old and vice vers... | Mary is funny. | contradiction | (![X]:((funny(X)|~strong(X))<=>(wise(X)<~>patient(X))))&
(((brave(lucy)&funny(lucy)))=>(?[X]:((humble(X)|~generous(X)))))&
(((wise(lucy)<~>rich(lucy)))<=>(?[X]:((~humble(X)&~happy(X)))))&
(((kind(alice)&tall(alice)))<=>((~kind(lucy)|~old(lucy))))&
(![X]:((~brave(X)<~>~old(X))=>(~kind(X)|~old(X))))&
(((happy(lucy)&~brav... | funny(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7384180341420357376453523
% SZS output start Proof for 7384180341420357376453523
15. ! [X0] : ((~humble(X0) & humble(X0)) <=> (creative(X0) | funny(X0))) [input p14]
22. funny(mary) [input hypothesis]
61. ! [X0] : (((~humble(X0) & humble(X0)) | (~creative(X0) & ~funny(X0))) & ((creative(X... | 0 |
If someone is either not quiet or happy then fred is funny.
If someone is brave then paul is calm and vice versa.
Everyone who is either patient or not funny is both not generous and curious.
If john is either brave or funny then paul is not calm.
If susan is both strong and not tall then paul is either not curious or ... | Fred is curious. | entailment | ((?[X]:((~quiet(X)<~>happy(X))))=>(funny(fred)))&
((?[X]:(brave(X)))<=>(calm(paul)))&
(![X]:((patient(X)<~>~funny(X))=>(~generous(X)&curious(X))))&
(((brave(john)<~>funny(john)))=>(~calm(paul)))&
(((strong(susan)&~tall(susan)))=>((~curious(paul)<~>~brave(paul))))&
((?[X]:((~strong(X)<~>generous(X))))=>((happy(paul)|cur... | curious(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5769631051065983795291477
% SZS output start Proof for 5769631051065983795291477
11. ! [X0] : ((~calm(X0) & calm(X0)) <=> ~curious(X0)) [input p10]
21. ~curious(fred) [input hypothesis]
47. ! [X0] : (((~calm(X0) & calm(X0)) | curious(X0)) & (~curious(X0) | (calm(X0) | ~calm(X0)))) [nnf tr... | 0 |
Everyone who is old is either happy or creative.
Everyone who is either not old or not strong is generous or not happy and vice versa.
Everyone who is either not generous or generous is both curious and not calm and vice versa.
Everyone who is not patient is either creative or not strong and vice versa.
If lucy is eith... | Lucy is strong. | contradiction | (![X]:(old(X)=>(happy(X)<~>creative(X))))&
(![X]:((~old(X)<~>~strong(X))<=>(generous(X)|~happy(X))))&
(![X]:((~generous(X)<~>generous(X))<=>(curious(X)&~calm(X))))&
(![X]:(~patient(X)<=>(creative(X)<~>~strong(X))))&
(((~curious(lucy)<~>kind(lucy)))<=>(?[X]:(~wise(X))))&
((?[X]:((tall(X)&~old(X))))<=>((~kind(mary)<~>~qu... | strong(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1504813159286180742692882
% SZS output start Proof for 1504813159286180742692882
1. ! [X0] : (old(X0) => (happy(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> ~strong(X0)) <=> (~happy(X0) | generous(X0))) [input p1]
3. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (~calm(X0... | 0 |
If john is brave then lucy is either not brave or not strong and vice versa.
Everyone who is either not humble or generous is either not humble or not strong and vice versa.
If paul is generous then lucy is kind or creative and vice versa.
Everyone who is not funny or not strong is not funny and vice versa.
If john is ... | Susan is strong. | entailment | ((brave(john))<=>((~brave(lucy)<~>~strong(lucy))))&
(![X]:((~humble(X)<~>generous(X))<=>(~humble(X)<~>~strong(X))))&
((generous(paul))<=>((kind(lucy)|creative(lucy))))&
(![X]:((~funny(X)|~strong(X))<=>~funny(X)))&
(((quiet(john)&old(john)))=>(~old(fred)))&
(![X]:((~humble(X)&tall(X))=>(funny(X)|~creative(X))))&
(![X]:(... | strong(susan) | [
"p3",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6152636179282142064189835
% SZS output start Proof for 6152636179282142064189835
4. ! [X0] : ((~strong(X0) | ~funny(X0)) <=> ~funny(X0)) [input p3]
8. ! [X0] : ((strong(X0) | funny(X0)) <=> (happy(X0) | ~tall(X0))) [input p7]
13. (patient(susan) & funny(susan)) <=> ? [X0] : (rich(X0) | ta... | 0 |
If someone is not rich then fred is both not patient and patient and vice versa. Everyone who is not calm or not happy is both strong and creative and vice versa. Everyone who is not strong is both kind and not wise. If fred is funny then someone is both tall and strong and vice versa. Everyone who is either humble or ... | Susan is not generous. | entailment | ((?[X]:(~rich(X)))<=>((~patient(fred)&patient(fred))))&
(![X]:((~calm(X)|~happy(X))<=>(strong(X)&creative(X))))&
(![X]:(~strong(X)=>(kind(X)&~wise(X))))&
((funny(fred))<=>(?[X]:((tall(X)&strong(X)))))&
(![X]:((humble(X)<~>rich(X))=>~old(X)))&
(![X]:(~curious(X)=>(~old(X)<~>~patient(X))))&
(![X]:(calm(X)=>(wise(X)&~gene... | ~generous(susan) | [
"p1",
"p6",
"p7",
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2331053272950789539231772
% SZS output start Proof for 2331053272950789539231772
2. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> (creative(X0) & strong(X0))) [input p1]
7. ! [X0] : (calm(X0) => (~generous(X0) & wise(X0))) [input p6]
8. ? [X0] : (~tall(X0) | ~kind(X0)) <=> (curious(susan) & ~cre... | 0 |
Everyone who is either not tall or not wise is old or not old and vice versa.
Everyone who is not brave is not patient or calm and vice versa.
Everyone who is not humble or wise is not strong or happy.
If fred is both curious and not happy then someone is either not wise or not tall and vice versa.
If someone is both r... | Alice is kind. | contradiction | (![X]:((~tall(X)<~>~wise(X))<=>(old(X)|~old(X))))&
(![X]:(~brave(X)<=>(~patient(X)|calm(X))))&
(![X]:((~humble(X)|wise(X))=>(~strong(X)|happy(X))))&
(((curious(fred)&~happy(fred)))<=>(?[X]:((~wise(X)<~>~tall(X)))))&
((?[X]:((rich(X)&quiet(X))))=>(?[X]:((~strong(X)<~>~old(X)))))&
((?[X]:((~creative(X)<~>creative(X))))=>... | kind(alice) | [
"p5",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3677831720020262331355235
% SZS output start Proof for 3677831720020262331355235
6. ? [X0] : (~creative(X0) <~> creative(X0)) => (curious(alice) & generous(alice)) [input p5]
11. ! [X0] : ((generous(X0) | funny(X0)) => (~kind(X0) & ~strong(X0))) [input p10]
19. creative(lucy) & brave(lucy... | 0 |
If someone is both rich and not curious then someone is either not old or not wise and vice versa. Everyone who is not creative or not calm is both brave and humble. If susan is both not calm and not happy then someone is either wise or strong. Everyone who is both not rich and creative is not rich or wise and vice ver... | Alice is not generous. | neutral | ((?[X]:((rich(X)&~curious(X))))<=>(?[X]:((~old(X)<~>~wise(X)))))&
(![X]:((~creative(X)|~calm(X))=>(brave(X)&humble(X))))&
(((~calm(susan)&~happy(susan)))=>(?[X]:((wise(X)<~>strong(X)))))&
(![X]:((~rich(X)&creative(X))<=>(~rich(X)|wise(X))))&
((?[X]:((tall(X)<~>old(X))))<=>(?[X]:((generous(X)|~generous(X)))))&
(![X]:((~... | ~generous(alice) | [] | null | 0 |
Everyone who is strong is either old or patient. If mary is both not humble and brave then someone is both rich and not creative and vice versa. If john is not strong then lucy is not rich or tall. Everyone who is either humble or brave is either not strong or calm. If someone is not humble then susan is either not ric... | Susan is rich. | contradiction | (![X]:(strong(X)=>(old(X)<~>patient(X))))&
(((~humble(mary)&brave(mary)))<=>(?[X]:((rich(X)&~creative(X)))))&
((~strong(john))=>((~rich(lucy)|tall(lucy))))&
(![X]:((humble(X)<~>brave(X))=>(~strong(X)<~>calm(X))))&
((?[X]:(~humble(X)))<=>((~rich(susan)<~>creative(susan))))&
(![X]:((calm(X)&~quiet(X))<=>(~calm(X)|funny(X... | rich(susan) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8821731150812374875461649
% SZS output start Proof for 8821731150812374875461649
2. (brave(mary) & ~humble(mary)) <=> ? [X0] : (~creative(X0) & rich(X0)) [input p1]
4. ! [X0] : ((humble(X0) <~> brave(X0)) => (~strong(X0) <~> calm(X0))) [input p3]
5. ? [X0] : ~humble(X0) <=> (~rich(susan) ... | 0 |
If someone is both not calm and happy then lucy is both not quiet and generous and vice versa.
Everyone who is not humble is either not tall or old and vice versa.
Everyone who is either generous or humble is both humble and not calm and vice versa.
Everyone who is brave is both not rich and not tall and vice versa.
Ev... | Alice is not kind. | neutral | ((?[X]:((~calm(X)&happy(X))))<=>((~quiet(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>(~tall(X)<~>old(X))))&
(![X]:((generous(X)<~>humble(X))<=>(humble(X)&~calm(X))))&
(![X]:(brave(X)<=>(~rich(X)&~tall(X))))&
(![X]:((patient(X)&old(X))=>(tall(X)|rich(X))))&
(![X]:((~wise(X)|~tall(X))=>(curious(X)|humble(X))))&
((kind(m... | ~kind(alice) | [] | null | 0 |
Everyone who is not generous or not patient is both not curious and not quiet. If alice is both strong and not humble then someone is not calm or kind and vice versa. Everyone who is patient or tall is either brave or quiet and vice versa. Everyone who is either not happy or calm is not creative and vice versa. If john... | Alice is not generous. | entailment | (![X]:((~generous(X)|~patient(X))=>(~curious(X)&~quiet(X))))&
(((strong(alice)&~humble(alice)))<=>(?[X]:((~calm(X)|kind(X)))))&
(![X]:((patient(X)|tall(X))<=>(brave(X)<~>quiet(X))))&
(![X]:((~happy(X)<~>calm(X))<=>~creative(X)))&
(((generous(john)|brave(john)))=>(?[X]:((~humble(X)<~>happy(X)))))&
(![X]:((quiet(X)&humbl... | ~generous(alice) | [
"p0",
"p1",
"p6",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8451906088446935332426892
% SZS output start Proof for 8451906088446935332426892
1. ! [X0] : ((~patient(X0) | ~generous(X0)) => (~quiet(X0) & ~curious(X0))) [input p0]
2. (~humble(alice) & strong(alice)) <=> ? [X0] : (kind(X0) | ~calm(X0)) [input p1]
7. ! [X0] : ((~quiet(X0) & ~strong(X0)... | 0 |
If someone is either creative or wise then someone is both calm and not patient.
If john is both not wise and not kind then fred is both not curious and kind and vice versa.
Everyone who is both not brave and funny is not funny or curious and vice versa.
Everyone who is humble is either not wise or not quiet and vice v... | Paul is quiet. | neutral | ((?[X]:((creative(X)<~>wise(X))))=>(?[X]:((calm(X)&~patient(X)))))&
(((~wise(john)&~kind(john)))<=>((~curious(fred)&kind(fred))))&
(![X]:((~brave(X)&funny(X))<=>(~funny(X)|curious(X))))&
(![X]:(humble(X)<=>(~wise(X)<~>~quiet(X))))&
(![X]:((~creative(X)&~patient(X))<=>(~tall(X)&~happy(X))))&
(![X]:(~rich(X)<=>~happy(X))... | quiet(paul) | [] | null | 0 |
If john is not quiet then alice is both not kind and not generous and vice versa.
If someone is both kind and patient then someone is not funny or wise and vice versa.
Everyone who is not strong is both not old and patient and vice versa.
Everyone who is not strong is calm and vice versa.
If alice is both not brave and... | Fred is quiet. | entailment | ((~quiet(john))<=>((~kind(alice)&~generous(alice))))&
((?[X]:((kind(X)&patient(X))))<=>(?[X]:((~funny(X)|wise(X)))))&
(![X]:(~strong(X)<=>(~old(X)&patient(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(((~brave(alice)&~tall(alice)))=>(?[X]:((creative(X)|brave(X)))))&
(![X]:((humble(X)<~>generous(X))=>old(X)))&
(((old(john)&~ca... | quiet(fred) | [
"p3",
"p8",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6228706282057589050124681
% SZS output start Proof for 6228706282057589050124681
4. ! [X0] : (~strong(X0) <=> calm(X0)) [input p3]
9. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (brave(X0) & calm(X0))) [input p8]
10. ! [X0] : ((patient(X0) <~> quiet(X0)) <=> (~tall(X0) | ~humble(X0))) [inpu... | 0 |
Everyone who is either not happy or calm is happy or strong and vice versa. Everyone who is not quiet or old is not brave. Everyone who is either not calm or not rich is old. Everyone who is kind is not humble or not tall and vice versa. Everyone who is generous or not happy is not wise and vice versa. If john is both ... | Alice is not old. | contradiction | (![X]:((~happy(X)<~>calm(X))<=>(happy(X)|strong(X))))&
(![X]:((~quiet(X)|old(X))=>~brave(X)))&
(![X]:((~calm(X)<~>~rich(X))=>old(X)))&
(![X]:(kind(X)<=>(~humble(X)|~tall(X))))&
(![X]:((generous(X)|~happy(X))<=>~wise(X)))&
(((tall(john)&rich(john)))<=>((~humble(susan)&~calm(susan))))&
(![X]:((~brave(X)|rich(X))<=>(patie... | ~old(alice) | [
"p0",
"p2",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8285583033790135035782051
% SZS output start Proof for 8285583033790135035782051
1. ! [X0] : ((~happy(X0) <~> calm(X0)) <=> (strong(X0) | happy(X0))) [input p0]
3. ! [X0] : ((~calm(X0) <~> ~rich(X0)) => old(X0)) [input p2]
10. ! [X0] : ((~brave(X0) | brave(X0)) => (happy(X0) & patient(X0)... | 0 |
If susan is not wise then fred is not funny.
Everyone who is patient or not rich is both generous and not patient and vice versa.
If john is either not old or curious then someone is either not curious or wise and vice versa.
Everyone who is not brave is either not generous or generous and vice versa.
Everyone who is e... | Susan is happy. | neutral | ((~wise(susan))=>(~funny(fred)))&
(![X]:((patient(X)|~rich(X))<=>(generous(X)&~patient(X))))&
(((~old(john)<~>curious(john)))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:(~brave(X)<=>(~generous(X)<~>generous(X))))&
(![X]:((old(X)<~>tall(X))=>(quiet(X)<~>~brave(X))))&
(![X]:(~funny(X)=>(~humble(X)&brave(X))))&
(![X]:((qu... | happy(susan) | [] | null | 0 |
Everyone who is not happy is either not tall or calm and vice versa. Everyone who is rich is not quiet or funny and vice versa. Everyone who is patient is wise or patient and vice versa. If someone is both quiet and not generous then fred is not funny or not quiet. If susan is either generous or not brave then someone ... | Susan is not tall. | entailment | (![X]:(~happy(X)<=>(~tall(X)<~>calm(X))))&
(![X]:(rich(X)<=>(~quiet(X)|funny(X))))&
(![X]:(patient(X)<=>(wise(X)|patient(X))))&
((?[X]:((quiet(X)&~generous(X))))=>((~funny(fred)|~quiet(fred))))&
(((generous(susan)<~>~brave(susan)))<=>(?[X]:((~creative(X)&happy(X)))))&
(![X]:((old(X)<~>~quiet(X))=>~strong(X)))&
(![X]:((... | ~tall(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 876534738595143974163448
% SZS output start Proof for 876534738595143974163448
10. ? [X0] : (tall(X0) | ~old(X0)) <=> (funny(fred) & ~funny(fred)) [input p9]
25. tall(susan) [input hypothesis]
55. (? [X0] : (tall(X0) | ~old(X0)) | (~funny(fred) | funny(fred))) & ((funny(fred) & ~funny(fre... | 0 |
Everyone who is calm or tall is brave or humble and vice versa.
Everyone who is not quiet is generous or kind and vice versa.
If someone is not brave or not strong then paul is both not kind and not funny and vice versa.
If someone is both strong and rich then mary is either not brave or not kind.
If someone is either ... | Fred is happy. | contradiction | (![X]:((calm(X)|tall(X))<=>(brave(X)|humble(X))))&
(![X]:(~quiet(X)<=>(generous(X)|kind(X))))&
((?[X]:((~brave(X)|~strong(X))))<=>((~kind(paul)&~funny(paul))))&
((?[X]:((strong(X)&rich(X))))=>((~brave(mary)<~>~kind(mary))))&
((?[X]:((happy(X)<~>tall(X))))=>(?[X]:((~strong(X)&strong(X)))))&
(![X]:((brave(X)|~kind(X))<=>... | happy(fred) | [
"p0",
"p4",
"p5",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 343790856214589436128122
% SZS output start Proof for 343790856214589436128122
1. ! [X0] : ((tall(X0) | calm(X0)) <=> (humble(X0) | brave(X0))) [input p0]
5. ? [X0] : (happy(X0) <~> tall(X0)) => ? [X0] : (strong(X0) & ~strong(X0)) [input p4]
6. ! [X0] : ((~kind(X0) | brave(X0)) <=> ~happy... | 0 |
Everyone who is funny is quiet. Everyone who is generous or not funny is not quiet or not kind and vice versa. Everyone who is patient or not wise is tall or not wise and vice versa. Everyone who is either kind or generous is either not old or tall and vice versa. Everyone who is not wise is either not patient or stron... | Mary is not patient. | contradiction | (![X]:(funny(X)=>quiet(X)))&
(![X]:((generous(X)|~funny(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((patient(X)|~wise(X))<=>(tall(X)|~wise(X))))&
(![X]:((kind(X)<~>generous(X))<=>(~old(X)<~>tall(X))))&
(![X]:(~wise(X)=>(~patient(X)<~>strong(X))))&
((old(susan))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:(~curious(X)<=>(generou... | ~patient(mary) | [
"p2",
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1582265831351629508813641
% SZS output start Proof for 1582265831351629508813641
3. ! [X0] : ((~wise(X0) | patient(X0)) <=> (~wise(X0) | tall(X0))) [input p2]
5. ! [X0] : (~wise(X0) => (~patient(X0) <~> strong(X0))) [input p4]
11. ! [X0] : ((quiet(X0) | ~strong(X0)) <=> patient(X0)) [inpu... | 0 |
Everyone who is creative or strong is funny or old and vice versa.
If fred is either funny or humble then someone is rich or not brave.
Everyone who is not wise is both not rich and curious.
If mary is quiet then john is not rich.
If alice is not quiet or quiet then someone is not patient or not quiet and vice versa.
E... | Fred is not quiet. | entailment | (![X]:((creative(X)|strong(X))<=>(funny(X)|old(X))))&
(((funny(fred)<~>humble(fred)))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:(~wise(X)=>(~rich(X)&curious(X))))&
((quiet(mary))=>(~rich(john)))&
(((~quiet(alice)|quiet(alice)))<=>(?[X]:((~patient(X)|~quiet(X)))))&
(![X]:((~humble(X)<~>~kind(X))<=>(~tall(X)&~quiet(X))))&
(!... | ~quiet(fred) | [
"p0",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 59213910085444196887018
% SZS output start Proof for 59213910085444196887018
1. ! [X0] : ((strong(X0) | creative(X0)) <=> (old(X0) | funny(X0))) [input p0]
6. ! [X0] : ((~humble(X0) <~> ~kind(X0)) <=> (~quiet(X0) & ~tall(X0))) [input p5]
7. ! [X0] : (~old(X0) => ~funny(X0)) [input p6]
9. ... | 0 |
If someone is both strong and generous then paul is both not tall and not wise. Everyone who is either not creative or patient is both old and not strong. Everyone who is either not kind or not old is both not happy and funny. If someone is not patient or not calm then someone is either not curious or quiet and vice ve... | Paul is rich. | contradiction | ((?[X]:((strong(X)&generous(X))))=>((~tall(paul)&~wise(paul))))&
(![X]:((~creative(X)<~>patient(X))=>(old(X)&~strong(X))))&
(![X]:((~kind(X)<~>~old(X))=>(~happy(X)&funny(X))))&
((?[X]:((~patient(X)|~calm(X))))<=>(?[X]:((~curious(X)<~>quiet(X)))))&
((?[X]:((happy(X)&~quiet(X))))=>((~brave(susan)|generous(susan))))&
((?[... | rich(paul) | [
"p2",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8059889108314611471687710
% SZS output start Proof for 8059889108314611471687710
3. ! [X0] : ((~kind(X0) <~> ~old(X0)) => (funny(X0) & ~happy(X0))) [input p2]
9. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~kind(X0) <~> old(X0))) [input p8]
16. ! [X0] : ((~happy(X0) | ~creative(X0)) <=>... | 0 |
If someone is strong or kind then alice is funny and vice versa. Everyone who is either wise or calm is funny. If paul is not brave then someone is not curious and vice versa. Everyone who is patient or quiet is both old and not humble. Everyone who is happy or creative is either curious or not old and vice versa. Ever... | Fred is rich. | neutral | ((?[X]:((strong(X)|kind(X))))<=>(funny(alice)))&
(![X]:((wise(X)<~>calm(X))=>funny(X)))&
((~brave(paul))<=>(?[X]:(~curious(X))))&
(![X]:((patient(X)|quiet(X))=>(old(X)&~humble(X))))&
(![X]:((happy(X)|creative(X))<=>(curious(X)<~>~old(X))))&
(![X]:((quiet(X)&~funny(X))=>(~kind(X)|rich(X))))&
(![X]:((~calm(X)&~humble(X))... | rich(fred) | [] | null | 0 |
If someone is both creative and not old then someone is tall or rich and vice versa. If someone is not generous or not calm then someone is not rich or not generous and vice versa. Everyone who is both patient and old is not curious or strong and vice versa. Everyone who is both kind and not strong is either not wise o... | Susan is not funny. | entailment | ((?[X]:((creative(X)&~old(X))))<=>(?[X]:((tall(X)|rich(X)))))&
((?[X]:((~generous(X)|~calm(X))))<=>(?[X]:((~rich(X)|~generous(X)))))&
(![X]:((patient(X)&old(X))<=>(~curious(X)|strong(X))))&
(![X]:((kind(X)&~strong(X))=>(~wise(X)<~>~happy(X))))&
(((tall(paul)|strong(paul)))<=>((~wise(fred)&patient(fred))))&
(![X]:((~hap... | ~funny(susan) | [
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1519921073872154087421264
% SZS output start Proof for 1519921073872154087421264
7. ! [X0] : (~rich(X0) => (~funny(X0) & happy(X0))) [input p6]
18. old(susan) & ~rich(susan) [input p17]
25. funny(susan) [input hypothesis]
32. ! [X0] : ((~funny(X0) & happy(X0)) | rich(X0)) [ennf transforma... | 0 |
If someone is strong then fred is both not kind and not patient and vice versa.
If someone is either not calm or old then alice is either not generous or generous and vice versa.
If someone is either not happy or patient then someone is both rich and curious and vice versa.
Everyone who is not quiet or not creative is ... | Fred is not kind. | neutral | ((?[X]:(strong(X)))<=>((~kind(fred)&~patient(fred))))&
((?[X]:((~calm(X)<~>old(X))))<=>((~generous(alice)<~>generous(alice))))&
((?[X]:((~happy(X)<~>patient(X))))<=>(?[X]:((rich(X)&curious(X)))))&
(![X]:((~quiet(X)|~creative(X))=>(~generous(X)&~calm(X))))&
(((rich(fred)&patient(fred)))=>((~patient(lucy)|quiet(lucy))))&... | ~kind(fred) | [] | null | 0 |
If paul is either kind or not curious then someone is creative or patient.
Everyone who is either not creative or rich is brave or not wise and vice versa.
If susan is funny or happy then john is either not strong or not rich and vice versa.
Everyone who is either not funny or calm is not brave or rich and vice versa.
... | Paul is not funny. | contradiction | (((kind(paul)<~>~curious(paul)))=>(?[X]:((creative(X)|patient(X)))))&
(![X]:((~creative(X)<~>rich(X))<=>(brave(X)|~wise(X))))&
(((funny(susan)|happy(susan)))<=>((~strong(john)<~>~rich(john))))&
(![X]:((~funny(X)<~>calm(X))<=>(~brave(X)|rich(X))))&
(![X]:(~calm(X)<=>(funny(X)|brave(X))))&
(![X]:(~patient(X)=>(rich(X)<~>... | ~funny(paul) | [
"p3",
"p4",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4341724547938282490222787
% SZS output start Proof for 4341724547938282490222787
4. ! [X0] : ((~funny(X0) <~> calm(X0)) <=> (rich(X0) | ~brave(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (brave(X0) | funny(X0))) [input p4]
13. ! [X0] : (~brave(X0) <=> ~wise(X0)) [input p12]
15. ! [X0] : (... | 0 |
Everyone who is not old is both strong and funny and vice versa. Everyone who is either not creative or kind is both old and not old and vice versa. Everyone who is either patient or generous is both old and calm and vice versa. If someone is both brave and generous then paul is not happy or not humble. If lucy is eith... | Susan is not patient. | contradiction | (![X]:(~old(X)<=>(strong(X)&funny(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(old(X)&~old(X))))&
(![X]:((patient(X)<~>generous(X))<=>(old(X)&calm(X))))&
((?[X]:((brave(X)&generous(X))))=>((~happy(paul)|~humble(paul))))&
(((kind(lucy)<~>funny(lucy)))<=>((tall(john)<~>old(john))))&
(![X]:(generous(X)=>(~creative(X)&funny(X... | ~patient(susan) | [
"p5",
"p7",
"p8",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1513245263445117143918670
% SZS output start Proof for 1513245263445117143918670
6. ! [X0] : (generous(X0) => (funny(X0) & ~creative(X0))) [input p5]
8. ! [X0] : ((generous(X0) | curious(X0)) <=> ~rich(X0)) [input p7]
9. ! [X0] : ((generous(X0) & wise(X0)) <=> (~brave(X0) | ~patient(X0)))... | 0 |
If john is not wise or not funny then someone is not old and vice versa.
Everyone who is either not humble or not brave is either patient or creative and vice versa.
If someone is kind then john is both not rich and not calm and vice versa.
If alice is kind or not strong then someone is calm.
If someone is either not o... | Susan is quiet. | contradiction | (((~wise(john)|~funny(john)))<=>(?[X]:(~old(X))))&
(![X]:((~humble(X)<~>~brave(X))<=>(patient(X)<~>creative(X))))&
((?[X]:(kind(X)))<=>((~rich(john)&~calm(john))))&
(((kind(alice)|~strong(alice)))=>(?[X]:(calm(X))))&
((?[X]:((~old(X)<~>rich(X))))=>(?[X]:((kind(X)&wise(X)))))&
(![X]:((~calm(X)&~patient(X))<=>~old(X)))&
... | quiet(susan) | [
"p5",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7776151966091679892909364
% SZS output start Proof for 7776151966091679892909364
6. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> ~old(X0)) [input p5]
12. ? [X0] : quiet(X0) => (patient(paul) & humble(paul)) [input p11]
20. ~old(paul) [input p19]
24. quiet(susan) [input hypothesis]
32. (patien... | 0 |
Everyone who is generous is quiet. If someone is not generous or not humble then john is not rich. If lucy is either not curious or not humble then fred is not curious or not happy and vice versa. If someone is rich or strong then alice is both generous and not patient and vice versa. Everyone who is patient is not wis... | Fred is wise. | neutral | (![X]:(generous(X)=>quiet(X)))&
((?[X]:((~generous(X)|~humble(X))))=>(~rich(john)))&
(((~curious(lucy)<~>~humble(lucy)))<=>((~curious(fred)|~happy(fred))))&
((?[X]:((rich(X)|strong(X))))<=>((generous(alice)&~patient(alice))))&
(![X]:(patient(X)<=>(~wise(X)|~funny(X))))&
((?[X]:((~patient(X)|generous(X))))=>(?[X]:((~ric... | wise(fred) | [] | null | 0 |
Everyone who is either brave or not creative is tall and vice versa.
Everyone who is either rich or not humble is humble.
If lucy is not strong then paul is either not wise or humble.
If paul is either not curious or not kind then someone is both not kind and happy and vice versa.
Everyone who is funny or not happy is ... | Fred is rich. | entailment | (![X]:((brave(X)<~>~creative(X))<=>tall(X)))&
(![X]:((rich(X)<~>~humble(X))=>humble(X)))&
((~strong(lucy))=>((~wise(paul)<~>humble(paul))))&
(((~curious(paul)<~>~kind(paul)))<=>(?[X]:((~kind(X)&happy(X)))))&
(![X]:((funny(X)|~happy(X))=>(kind(X)<~>patient(X))))&
(![X]:(~brave(X)<=>patient(X)))&
(![X]:((~generous(X)<~>c... | rich(fred) | [
"p0",
"p1",
"p5",
"p6",
"p9",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6783221287006674862672261
% SZS output start Proof for 6783221287006674862672261
1. ! [X0] : ((brave(X0) <~> ~creative(X0)) <=> tall(X0)) [input p0]
2. ! [X0] : ((rich(X0) <~> ~humble(X0)) => humble(X0)) [input p1]
6. ! [X0] : (~brave(X0) <=> patient(X0)) [input p5]
7. ! [X0] : ((~generou... | 0 |
Everyone who is kind or not tall is not rich or not quiet and vice versa. If lucy is both not patient and creative then fred is not patient. Everyone who is patient is not generous. If someone is both old and not old then someone is both not strong and not humble and vice versa. Everyone who is both generous and kind i... | John is calm. | neutral | (![X]:((kind(X)|~tall(X))<=>(~rich(X)|~quiet(X))))&
(((~patient(lucy)&creative(lucy)))=>(~patient(fred)))&
(![X]:(patient(X)=>~generous(X)))&
((?[X]:((old(X)&~old(X))))<=>(?[X]:((~strong(X)&~humble(X)))))&
(![X]:((generous(X)&kind(X))=>~generous(X)))&
(![X]:((~generous(X)<~>~quiet(X))<=>(~humble(X)&curious(X))))&
(![X]... | calm(john) | [] | null | 0 |
Everyone who is both funny and curious is either creative or not kind.
Everyone who is either not tall or not brave is rich or quiet.
Everyone who is rich is either not funny or tall.
Everyone who is curious or old is rich or not old and vice versa.
Everyone who is brave is generous or not old and vice versa.
If paul i... | Fred is humble. | entailment | (![X]:((funny(X)&curious(X))=>(creative(X)<~>~kind(X))))&
(![X]:((~tall(X)<~>~brave(X))=>(rich(X)|quiet(X))))&
(![X]:(rich(X)=>(~funny(X)<~>tall(X))))&
(![X]:((curious(X)|old(X))<=>(rich(X)|~old(X))))&
(![X]:(brave(X)<=>(generous(X)|~old(X))))&
((~funny(paul))=>(?[X]:((wise(X)&~generous(X)))))&
((?[X]:((curious(X)<~>ta... | humble(fred) | [
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1997376063884067914572718
% SZS output start Proof for 1997376063884067914572718
9. ! [X0] : ((curious(X0) | ~patient(X0)) => ~creative(X0)) [input p8]
10. ! [X0] : ((~creative(X0) | wise(X0)) => (~rich(X0) & patient(X0))) [input p9]
12. ! [X0] : ((~humble(X0) | ~tall(X0)) => (~patient(X0... | 0 |
If paul is both not kind and generous then someone is both not curious and calm and vice versa.
If someone is either not old or old then alice is not calm or humble.
If someone is not old then someone is strong and vice versa.
If someone is patient or humble then someone is either not patient or not kind and vice versa... | Alice is generous. | neutral | (((~kind(paul)&generous(paul)))<=>(?[X]:((~curious(X)&calm(X)))))&
((?[X]:((~old(X)<~>old(X))))=>((~calm(alice)|humble(alice))))&
((?[X]:(~old(X)))<=>(?[X]:(strong(X))))&
((?[X]:((patient(X)|humble(X))))<=>(?[X]:((~patient(X)<~>~kind(X)))))&
(![X]:((~kind(X)|~generous(X))<=>(~curious(X)<~>kind(X))))&
(![X]:((~strong(X)... | generous(alice) | [] | null | 0 |
Everyone who is both patient and not happy is humble or not rich.
If someone is not brave or strong then someone is not happy or funny and vice versa.
If someone is both not old and patient then someone is not old.
Everyone who is both not kind and not brave is humble and vice versa.
If lucy is not strong then someone ... | Paul is curious. | entailment | (![X]:((patient(X)&~happy(X))=>(humble(X)|~rich(X))))&
((?[X]:((~brave(X)|strong(X))))<=>(?[X]:((~happy(X)|funny(X)))))&
((?[X]:((~old(X)&patient(X))))=>(?[X]:(~old(X))))&
(![X]:((~kind(X)&~brave(X))<=>humble(X)))&
((~strong(lucy))=>(?[X]:((~wise(X)&kind(X)))))&
(![X]:(~quiet(X)<=>(~strong(X)|~humble(X))))&
((?[X]:(old... | curious(paul) | [
"p5",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 635380770174093874764045
% SZS output start Proof for 635380770174093874764045
6. ! [X0] : (~quiet(X0) <=> (~humble(X0) | ~strong(X0))) [input p5]
10. ! [X0] : (quiet(X0) <=> (calm(X0) & ~strong(X0))) [input p9]
11. ? [X0] : ~curious(X0) => (wise(paul) & ~calm(paul)) [input p10]
12. ! [X0... | 0 |
If fred is either tall or rich then paul is either not calm or not patient.
If someone is either quiet or tall then lucy is not humble or quiet.
Everyone who is brave is both not old and tall and vice versa.
If lucy is not patient or wise then someone is both wise and curious.
Everyone who is both not old and patient i... | Paul is rich. | entailment | (((tall(fred)<~>rich(fred)))=>((~calm(paul)<~>~patient(paul))))&
((?[X]:((quiet(X)<~>tall(X))))=>((~humble(lucy)|quiet(lucy))))&
(![X]:(brave(X)<=>(~old(X)&tall(X))))&
(((~patient(lucy)|wise(lucy)))=>(?[X]:((wise(X)&curious(X)))))&
(![X]:((~old(X)&patient(X))=>(happy(X)<~>curious(X))))&
(![X]:((~generous(X)<~>quiet(X))... | rich(paul) | [
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1794226108011232176227834
% SZS output start Proof for 1794226108011232176227834
9. ? [X0] : quiet(X0) <=> (~happy(lucy) & happy(lucy)) [input p8]
10. ! [X0] : ((~wise(X0) | ~tall(X0)) => (old(X0) & funny(X0))) [input p9]
12. ! [X0] : ((wise(X0) & generous(X0)) <=> (funny(X0) | ~tall(X0))... | 0 |
Everyone who is funny or happy is brave or generous. Everyone who is brave is kind and vice versa. If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someon... | Paul is funny. | contradiction | (![X]:((funny(X)|happy(X))=>(brave(X)|generous(X))))&
(![X]:(brave(X)<=>kind(X)))&
((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))... | funny(paul) | [
"p5",
"p7",
"p9",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3924297947029546542205788
% SZS output start Proof for 3924297947029546542205788
6. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p5]
8. ? [X0] : (~generous(X0) | ~patient(X0)) <=> ? [X0] : (~generous(X0) <~> wise(X0)) [input p7]
10. ! [X0] : ((~strong... | 0 |
If someone is both funny and not creative then someone is not quiet and vice versa.
If someone is tall or curious then someone is happy or humble.
Everyone who is tall or not brave is both calm and not old.
Everyone who is happy is not wise or not strong and vice versa.
If someone is either not patient or calm then som... | Paul is tall. | contradiction | ((?[X]:((funny(X)&~creative(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((tall(X)|curious(X))))=>(?[X]:((happy(X)|humble(X)))))&
(![X]:((tall(X)|~brave(X))=>(calm(X)&~old(X))))&
(![X]:(happy(X)<=>(~wise(X)|~strong(X))))&
((?[X]:((~patient(X)<~>calm(X))))<=>(?[X]:((funny(X)&~brave(X)))))&
((generous(paul))=>(?[X]:((~wise(X)&~fu... | tall(paul) | [
"p2",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9037779841788711661630646
% SZS output start Proof for 9037779841788711661630646
3. ! [X0] : ((~brave(X0) | tall(X0)) => (~old(X0) & calm(X0))) [input p2]
15. ? [X0] : (calm(X0) | wise(X0)) => ~calm(paul) [input p14]
18. ? [X0] : (~brave(X0) <~> calm(X0)) [input p17]
24. tall(paul) [input... | 0 |
Everyone who is either not patient or not humble is not happy and vice versa.
Everyone who is not funny is tall or not rich and vice versa.
Everyone who is both kind and not old is tall.
If lucy is both tall and not kind then someone is either calm or not wise and vice versa.
If john is both not kind and not curious th... | Susan is funny. | contradiction | (![X]:((~patient(X)<~>~humble(X))<=>~happy(X)))&
(![X]:(~funny(X)<=>(tall(X)|~rich(X))))&
(![X]:((kind(X)&~old(X))=>tall(X)))&
(((tall(lucy)&~kind(lucy)))<=>(?[X]:((calm(X)<~>~wise(X)))))&
(((~kind(john)&~curious(john)))=>((~curious(john)|~rich(john))))&
(![X]:((creative(X)|~creative(X))<=>(rich(X)|~generous(X))))&
(![... | funny(susan) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 249788412490255328569321
% SZS output start Proof for 249788412490255328569321
8. ! [X0] : (~old(X0) <=> (funny(X0) | ~rich(X0))) [input p7]
9. ! [X0] : ((happy(X0) | funny(X0)) <=> old(X0)) [input p8]
23. funny(susan) [input hypothesis]
47. ! [X0] : ((~old(X0) | (~funny(X0) & rich(X0))) ... | 0 |
Everyone who is either patient or not strong is both not calm and brave and vice versa.
Everyone who is not strong is kind or not calm and vice versa.
If susan is old or not tall then someone is quiet.
If someone is both quiet and happy then fred is happy or generous and vice versa.
Everyone who is not wise or not rich... | Lucy is not tall. | neutral | (![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X))))&
(![X]:(~strong(X)<=>(kind(X)|~calm(X))))&
(((old(susan)|~tall(susan)))=>(?[X]:(quiet(X))))&
((?[X]:((quiet(X)&happy(X))))<=>((happy(fred)|generous(fred))))&
(![X]:((~wise(X)|~rich(X))=>(~happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(curious(X)|funny... | ~tall(lucy) | [] | null | 0 |
Everyone who is not brave is either curious or not wise and vice versa.
If john is both not kind and not funny then someone is both quiet and not kind and vice versa.
If someone is either wise or not rich then someone is creative or not rich.
If john is brave or not old then lucy is not quiet.
If paul is both curious a... | Paul is not curious. | entailment | (![X]:(~brave(X)<=>(curious(X)<~>~wise(X))))&
(((~kind(john)&~funny(john)))<=>(?[X]:((quiet(X)&~kind(X)))))&
((?[X]:((wise(X)<~>~rich(X))))=>(?[X]:((creative(X)|~rich(X)))))&
(((brave(john)|~old(john)))=>(~quiet(lucy)))&
(((curious(paul)&~funny(paul)))<=>((creative(paul)&wise(paul))))&
(![X]:((~rich(X)&~kind(X))=>humbl... | ~curious(paul) | [
"p0",
"p4",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6530419666698131411121522
% SZS output start Proof for 6530419666698131411121522
1. ! [X0] : (~brave(X0) <=> (curious(X0) <~> ~wise(X0))) [input p0]
5. (~funny(paul) & curious(paul)) <=> (wise(paul) & creative(paul)) [input p4]
11. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> (tall(X0) | ~fu... | 0 |
If someone is tall then susan is both generous and wise. Everyone who is either humble or patient is either not brave or not creative. Everyone who is both not happy and not generous is both calm and curious. If someone is tall or patient then someone is either not patient or not quiet. Everyone who is kind or generous... | John is not strong. | entailment | ((?[X]:(tall(X)))=>((generous(susan)&wise(susan))))&
(![X]:((humble(X)<~>patient(X))=>(~brave(X)<~>~creative(X))))&
(![X]:((~happy(X)&~generous(X))=>(calm(X)&curious(X))))&
((?[X]:((tall(X)|patient(X))))=>(?[X]:((~patient(X)<~>~quiet(X)))))&
(![X]:((kind(X)|generous(X))=>(strong(X)<~>~generous(X))))&
(![X]:((happy(X)<~... | ~strong(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4532262922445525162439803
% SZS output start Proof for 4532262922445525162439803
9. ! [X0] : ((~strong(X0) & ~kind(X0)) <=> (~kind(X0) | kind(X0))) [input p8]
25. strong(john) [input hypothesis]
54. ! [X0] : (((~strong(X0) & ~kind(X0)) | (kind(X0) & ~kind(X0))) & ((~kind(X0) | kind(X0)) |... | 0 |
Everyone who is either happy or wise is not calm.
If alice is both not wise and quiet then someone is either not generous or strong and vice versa.
Everyone who is not calm is not strong or happy.
Everyone who is both funny and tall is not kind or generous.
Everyone who is both patient and quiet is both funny and gener... | Paul is not creative. | contradiction | (![X]:((happy(X)<~>wise(X))=>~calm(X)))&
(((~wise(alice)&quiet(alice)))<=>(?[X]:((~generous(X)<~>strong(X)))))&
(![X]:(~calm(X)=>(~strong(X)|happy(X))))&
(![X]:((funny(X)&tall(X))=>(~kind(X)|generous(X))))&
(![X]:((patient(X)&quiet(X))<=>(funny(X)&generous(X))))&
((~old(mary))<=>((funny(mary)<~>wise(mary))))&
(![X]:(ge... | ~creative(paul) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5848337823961684803415011
% SZS output start Proof for 5848337823961684803415011
11. ! [X0] : (~patient(X0) <=> ~quiet(X0)) [input p10]
12. ! [X0] : ((patient(X0) | ~quiet(X0)) => creative(X0)) [input p11]
25. ~creative(paul) [input hypothesis]
37. ! [X0] : (creative(X0) | (~patient(X0) &... | 0 |
If someone is rich or calm then susan is either not humble or tall. If john is either not strong or wise then fred is curious. If someone is not generous then john is funny. If mary is both quiet and not brave then someone is either kind or not happy and vice versa. Everyone who is both not wise and not strong is not f... | Fred is not patient. | entailment | ((?[X]:((rich(X)|calm(X))))=>((~humble(susan)<~>tall(susan))))&
(((~strong(john)<~>wise(john)))=>(curious(fred)))&
((?[X]:(~generous(X)))=>(funny(john)))&
(((quiet(mary)&~brave(mary)))<=>(?[X]:((kind(X)<~>~happy(X)))))&
(![X]:((~wise(X)&~strong(X))=>~funny(X)))&
(![X]:((~old(X)&~generous(X))=>(brave(X)<~>tall(X))))&
((... | ~patient(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4118536720374329698860378
% SZS output start Proof for 4118536720374329698860378
18. ~quiet(fred) & ~patient(fred) [input p17]
25. patient(fred) [input hypothesis]
111. ~patient(fred) [cnf transformation 18]
120. patient(fred) [cnf transformation 25]
253. $false [subsumption resolution 12... | 0 |
Everyone who is not calm or not rich is creative.
If someone is either happy or not tall then paul is both not happy and not calm.
If someone is not generous then someone is humble or not rich and vice versa.
Everyone who is generous or not brave is kind and vice versa.
If susan is both humble and not brave then someon... | Paul is not creative. | contradiction | (![X]:((~calm(X)|~rich(X))=>creative(X)))&
((?[X]:((happy(X)<~>~tall(X))))=>((~happy(paul)&~calm(paul))))&
((?[X]:(~generous(X)))<=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((generous(X)|~brave(X))<=>kind(X)))&
(((humble(susan)&~brave(susan)))=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((tall(X)<~>happy(X))<=>~quiet(X)))&
(!... | ~creative(paul) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1739701048422428285694683
% SZS output start Proof for 1739701048422428285694683
1. ! [X0] : ((~rich(X0) | ~calm(X0)) => creative(X0)) [input p0]
2. ? [X0] : (happy(X0) <~> ~tall(X0)) => (~calm(paul) & ~happy(paul)) [input p1]
4. ! [X0] : ((~brave(X0) | generous(X0)) <=> kind(X0)) [input ... | 0 |
Everyone who is wise is not quiet. If someone is both not generous and tall then paul is both not patient and creative. If someone is either curious or not old then lucy is both not quiet and old and vice versa. Everyone who is not happy or not strong is not funny or not patient and vice versa. If someone is creative o... | John is rich. | entailment | (![X]:(wise(X)=>~quiet(X)))&
((?[X]:((~generous(X)&tall(X))))=>((~patient(paul)&creative(paul))))&
((?[X]:((curious(X)<~>~old(X))))<=>((~quiet(lucy)&old(lucy))))&
(![X]:((~happy(X)|~strong(X))<=>(~funny(X)|~patient(X))))&
((?[X]:((creative(X)|strong(X))))=>(~old(susan)))&
(((~curious(susan)<~>kind(susan)))<=>(?[X]:(~cu... | rich(john) | [
"p4",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 36154321471714654875590
% SZS output start Proof for 36154321471714654875590
5. ? [X0] : (strong(X0) | creative(X0)) => ~old(susan) [input p4]
15. ? [X0] : ~rich(X0) => (~brave(susan) & old(susan)) [input p14]
23. creative(lucy) & brave(lucy) [input p22]
25. ~rich(john) [input hypothesis]... | 0 |
Everyone who is either curious or not generous is not tall. Everyone who is both wise and not happy is not funny. Everyone who is both patient and not funny is either not funny or strong. If john is both patient and not patient then someone is wise and vice versa. Everyone who is brave is not quiet or not patient. Ever... | Lucy is not generous. | contradiction | (![X]:((curious(X)<~>~generous(X))=>~tall(X)))&
(![X]:((wise(X)&~happy(X))=>~funny(X)))&
(![X]:((patient(X)&~funny(X))=>(~funny(X)<~>strong(X))))&
(((patient(john)&~patient(john)))<=>(?[X]:(wise(X))))&
(![X]:(brave(X)=>(~quiet(X)|~patient(X))))&
(![X]:((strong(X)|creative(X))=>(~old(X)&happy(X))))&
(![X]:((brave(X)&~wi... | ~generous(lucy) | [
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3594188008257435654206610
% SZS output start Proof for 3594188008257435654206610
4. (~patient(john) & patient(john)) <=> ? [X0] : wise(X0) [input p3]
7. ! [X0] : ((~wise(X0) & brave(X0)) <=> (brave(X0) <~> funny(X0))) [input p6]
11. (generous(alice) | ~funny(alice)) <=> (generous(lucy) & ... | 0 |
Everyone who is either not humble or not curious is not calm. If someone is either not strong or brave then someone is not creative or not rich and vice versa. If mary is both humble and not generous then alice is not wise and vice versa. If someone is patient or not wise then paul is both not kind and curious and vice... | Lucy is not humble. | contradiction | (![X]:((~humble(X)<~>~curious(X))=>~calm(X)))&
((?[X]:((~strong(X)<~>brave(X))))<=>(?[X]:((~creative(X)|~rich(X)))))&
(((humble(mary)&~generous(mary)))<=>(~wise(alice)))&
((?[X]:((patient(X)|~wise(X))))<=>((~kind(paul)&curious(paul))))&
(![X]:((calm(X)|~calm(X))=>(creative(X)|~curious(X))))&
(![X]:((~kind(X)&creative(X... | ~humble(lucy) | [
"p3",
"p5",
"p10",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5457877114203968820378230
% SZS output start Proof for 5457877114203968820378230
4. ? [X0] : (~wise(X0) | patient(X0)) <=> (curious(paul) & ~kind(paul)) [input p3]
6. ! [X0] : ((creative(X0) & ~kind(X0)) => ~rich(X0)) [input p5]
11. ! [X0] : ((curious(X0) <~> old(X0)) <=> (rich(X0) & ~hum... | 0 |
Everyone who is either quiet or not tall is either not quiet or not funny and vice versa. If lucy is not patient then someone is both not patient and not creative and vice versa. If someone is not creative then mary is not kind and vice versa. Everyone who is funny is not funny or wise and vice versa. Everyone who is n... | Fred is calm. | neutral | (![X]:((quiet(X)<~>~tall(X))<=>(~quiet(X)<~>~funny(X))))&
((~patient(lucy))<=>(?[X]:((~patient(X)&~creative(X)))))&
((?[X]:(~creative(X)))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(... | calm(fred) | [] | null | 0 |
Everyone who is not rich or old is both strong and creative.
If paul is patient then someone is not strong or funny and vice versa.
If fred is both not calm and humble then mary is not strong or not old and vice versa.
Everyone who is both curious and not generous is not calm or not rich and vice versa.
Everyone who is... | Paul is not calm. | contradiction | (![X]:((~rich(X)|old(X))=>(strong(X)&creative(X))))&
((patient(paul))<=>(?[X]:((~strong(X)|funny(X)))))&
(((~calm(fred)&humble(fred)))<=>((~strong(mary)|~old(mary))))&
(![X]:((curious(X)&~generous(X))<=>(~calm(X)|~rich(X))))&
(![X]:((brave(X)<~>~strong(X))<=>patient(X)))&
((?[X]:((humble(X)<~>~happy(X))))=>((~wise(alic... | ~calm(paul) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1296309454434843554790515
% SZS output start Proof for 1296309454434843554790515
4. ! [X0] : ((~generous(X0) & curious(X0)) <=> (~rich(X0) | ~calm(X0))) [input p3]
15. ! [X0] : (curious(X0) => (brave(X0) & generous(X0))) [input p14]
25. ~calm(paul) [input hypothesis]
34. ! [X0] : ((brave(... | 0 |
If someone is not strong then susan is not curious or old and vice versa.
If fred is both not wise and kind then fred is either quiet or funny.
If susan is both creative and not creative then someone is not old.
If mary is both not brave and not strong then paul is either not old or generous.
If someone is not generous... | Lucy is not calm. | entailment | ((?[X]:(~strong(X)))<=>((~curious(susan)|old(susan))))&
(((~wise(fred)&kind(fred)))=>((quiet(fred)<~>funny(fred))))&
(((creative(susan)&~creative(susan)))=>(?[X]:(~old(X))))&
(((~brave(mary)&~strong(mary)))=>((~old(paul)<~>generous(paul))))&
((?[X]:((~generous(X)|kind(X))))<=>((~brave(paul)<~>~generous(paul))))&
(![X]:... | ~calm(lucy) | [
"p6",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 807932920454078576084378
% SZS output start Proof for 807932920454078576084378
7. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> ~wise(X0)) [input p6]
9. ! [X0] : ((strong(X0) | quiet(X0)) => (~strong(X0) & ~wise(X0))) [input p8]
15. ! [X0] : (~wise(X0) => (~generous(X0) & ~funny(X0))) [input p... | 0 |
If someone is both not humble and kind then someone is both not kind and wise and vice versa.
If fred is either not rich or strong then someone is both not creative and not calm and vice versa.
If susan is not tall then someone is calm or rich.
Everyone who is either funny or patient is not rich and vice versa.
Everyon... | Alice is kind. | contradiction | ((?[X]:((~humble(X)&kind(X))))<=>(?[X]:((~kind(X)&wise(X)))))&
(((~rich(fred)<~>strong(fred)))<=>(?[X]:((~creative(X)&~calm(X)))))&
((~tall(susan))=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((funny(X)<~>patient(X))<=>~rich(X)))&
(![X]:((brave(X)|calm(X))<=>~old(X)))&
(((brave(mary)&~patient(mary)))=>(?[X]:(~funny(X))))&
(((c... | kind(alice) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5802939822532104335650562
% SZS output start Proof for 5802939822532104335650562
7. (~happy(lucy) & curious(lucy)) <=> kind(alice) [input p6]
9. ! [X0] : ((~brave(X0) | brave(X0)) => (happy(X0) & patient(X0))) [input p8]
25. kind(alice) [input hypothesis]
34. ! [X0] : ((happy(X0) & patien... | 0 |
If someone is both humble and not curious then someone is strong.
Everyone who is either curious or not patient is both not old and not strong and vice versa.
If lucy is not happy then someone is wise.
If someone is calm or not quiet then someone is both strong and quiet.
If someone is either patient or kind then john ... | Susan is old. | neutral | ((?[X]:((humble(X)&~curious(X))))=>(?[X]:(strong(X))))&
(![X]:((curious(X)<~>~patient(X))<=>(~old(X)&~strong(X))))&
((~happy(lucy))=>(?[X]:(wise(X))))&
((?[X]:((calm(X)|~quiet(X))))=>(?[X]:((strong(X)&quiet(X)))))&
((?[X]:((patient(X)<~>kind(X))))<=>((~funny(john)<~>happy(john))))&
(![X]:(old(X)<=>(~quiet(X)&kind(X))))... | old(susan) | [] | null | 0 |
If someone is rich then someone is not brave.
Everyone who is not rich is kind.
Everyone who is both calm and tall is both quiet and wise and vice versa.
If someone is both funny and happy then someone is generous and vice versa.
Everyone who is not happy or humble is either not generous or not calm.
Everyone who is ei... | Alice is kind. | entailment | ((?[X]:(rich(X)))=>(?[X]:(~brave(X))))&
(![X]:(~rich(X)=>kind(X)))&
(![X]:((calm(X)&tall(X))<=>(quiet(X)&wise(X))))&
((?[X]:((funny(X)&happy(X))))<=>(?[X]:(generous(X))))&
(![X]:((~happy(X)|humble(X))=>(~generous(X)<~>~calm(X))))&
(![X]:((kind(X)<~>strong(X))=>~happy(X)))&
(![X]:((~tall(X)&~generous(X))=>~old(X)))&
(((... | kind(alice) | [
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2051014044710237467537353
% SZS output start Proof for 2051014044710237467537353
16. ! [X0] : ((old(X0) | ~kind(X0)) => ~calm(X0)) [input p15]
19. happy(alice) & calm(alice) [input p18]
25. ~kind(alice) [input hypothesis]
42. ! [X0] : (~calm(X0) | (~old(X0) & kind(X0))) [ennf transformati... | 0 |
If someone is not rich or not strong then someone is both not funny and old.
If someone is both not strong and not brave then john is not wise or not kind.
Everyone who is old or rich is either not humble or not patient and vice versa.
Everyone who is not humble is either generous or not kind.
If someone is not creativ... | Fred is not strong. | contradiction | ((?[X]:((~rich(X)|~strong(X))))=>(?[X]:((~funny(X)&old(X)))))&
((?[X]:((~strong(X)&~brave(X))))=>((~wise(john)|~kind(john))))&
(![X]:((old(X)|rich(X))<=>(~humble(X)<~>~patient(X))))&
(![X]:(~humble(X)=>(generous(X)<~>~kind(X))))&
((?[X]:((~creative(X)|humble(X))))<=>(~wise(fred)))&
(![X]:((rich(X)&humble(X))=>(~old(X)|... | ~strong(fred) | [
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3276507829789976339428272
% SZS output start Proof for 3276507829789976339428272
13. ! [X0] : ((curious(X0) | brave(X0)) => ~brave(X0)) [input p12]
15. ! [X0] : ((~funny(X0) | wise(X0)) => (~curious(X0) & brave(X0))) [input p14]
16. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> (~wise(X0) <~>... | 0 |
If someone is not creative then someone is both not brave and not rich and vice versa.
If someone is both not kind and not humble then mary is either humble or not funny and vice versa.
If fred is either not wise or not quiet then susan is both not kind and strong.
Everyone who is not brave or not wise is both not calm... | Mary is humble. | neutral | ((?[X]:(~creative(X)))<=>(?[X]:((~brave(X)&~rich(X)))))&
((?[X]:((~kind(X)&~humble(X))))<=>((humble(mary)<~>~funny(mary))))&
(((~wise(fred)<~>~quiet(fred)))=>((~kind(susan)&strong(susan))))&
(![X]:((~brave(X)|~wise(X))<=>(~calm(X)&~funny(X))))&
(![X]:((patient(X)&~calm(X))=>(~rich(X)<~>~brave(X))))&
(((quiet(alice)&~ri... | humble(mary) | [] | null | 0 |
Everyone who is quiet is either not kind or humble. Everyone who is not funny is both not rich and curious. Everyone who is both happy and not creative is not happy and vice versa. If someone is either not old or creative then someone is both old and not old. Everyone who is both creative and funny is curious. Everyone... | Lucy is not curious. | contradiction | (![X]:(quiet(X)=>(~kind(X)<~>humble(X))))&
(![X]:(~funny(X)=>(~rich(X)&curious(X))))&
(![X]:((happy(X)&~creative(X))<=>~happy(X)))&
((?[X]:((~old(X)<~>creative(X))))=>(?[X]:((old(X)&~old(X)))))&
(![X]:((creative(X)&funny(X))=>curious(X)))&
(![X]:((tall(X)<~>~curious(X))<=>(generous(X)&~strong(X))))&
(((~curious(lucy)|~... | ~curious(lucy) | [
"p1",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5269356283806624791676464
% SZS output start Proof for 5269356283806624791676464
2. ! [X0] : (~funny(X0) => (curious(X0) & ~rich(X0))) [input p1]
3. ! [X0] : ((~creative(X0) & happy(X0)) <=> ~happy(X0)) [input p2]
5. ! [X0] : ((funny(X0) & creative(X0)) => curious(X0)) [input p4]
20. ~cur... | 0 |
Everyone who is calm or old is both wise and not quiet and vice versa. Everyone who is quiet or not brave is not happy or wise and vice versa. If paul is tall or old then susan is both generous and not old and vice versa. If susan is rich or not funny then alice is happy or not generous and vice versa. Everyone who is ... | John is calm. | contradiction | (![X]:((calm(X)|old(X))<=>(wise(X)&~quiet(X))))&
(![X]:((quiet(X)|~brave(X))<=>(~happy(X)|wise(X))))&
(((tall(paul)|old(paul)))<=>((generous(susan)&~old(susan))))&
(((rich(susan)|~funny(susan)))<=>((happy(alice)|~generous(alice))))&
(![X]:((~humble(X)|~calm(X))<=>(~wise(X)&brave(X))))&
(![X]:((brave(X)<~>~patient(X))=>... | calm(john) | [
"p0",
"p1",
"p4",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7497511473040321459490474
% SZS output start Proof for 7497511473040321459490474
1. ! [X0] : ((old(X0) | calm(X0)) <=> (~quiet(X0) & wise(X0))) [input p0]
2. ! [X0] : ((~brave(X0) | quiet(X0)) <=> (wise(X0) | ~happy(X0))) [input p1]
5. ! [X0] : ((~calm(X0) | ~humble(X0)) <=> (brave(X0) & ... | 0 |
Everyone who is both not kind and not old is either not creative or calm.
If alice is both not happy and strong then someone is both not funny and generous and vice versa.
If mary is either not quiet or patient then someone is either strong or tall.
Everyone who is patient is either not happy or not strong.
If mary is ... | Alice is not strong. | contradiction | (![X]:((~kind(X)&~old(X))=>(~creative(X)<~>calm(X))))&
(((~happy(alice)&strong(alice)))<=>(?[X]:((~funny(X)&generous(X)))))&
(((~quiet(mary)<~>patient(mary)))=>(?[X]:((strong(X)<~>tall(X)))))&
(![X]:(patient(X)=>(~happy(X)<~>~strong(X))))&
(((creative(mary)|~kind(mary)))=>((calm(lucy)|strong(lucy))))&
(![X]:((strong(X)... | ~strong(alice) | [
"p1",
"p7",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7494096435619864492727368
% SZS output start Proof for 7494096435619864492727368
2. (strong(alice) & ~happy(alice)) <=> ? [X0] : (generous(X0) & ~funny(X0)) [input p1]
8. ! [X0] : ((tall(X0) & quiet(X0)) <=> generous(X0)) [input p7]
11. ! [X0] : ((funny(X0) & ~curious(X0)) <=> (tall(X0) <... | 0 |
Everyone who is humble or not humble is not strong and vice versa.
Everyone who is either not calm or not kind is not humble.
Everyone who is curious is not quiet or strong.
Everyone who is old is rich and vice versa.
Everyone who is brave or happy is wise and vice versa.
If alice is both old and not creative then mary... | Alice is curious. | contradiction | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:((~calm(X)<~>~kind(X))=>~humble(X)))&
(![X]:(curious(X)=>(~quiet(X)|strong(X))))&
(![X]:(old(X)<=>rich(X)))&
(![X]:((brave(X)|happy(X))<=>wise(X)))&
(((old(alice)&~creative(alice)))=>((~calm(mary)|~strong(mary))))&
(![X]:(curious(X)<=>creative(X)))&
(![X]:(~happy(X)=>... | curious(alice) | [
"p0",
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4994476464916214518445680
% SZS output start Proof for 4994476464916214518445680
1. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~strong(X0)) [input p0]
3. ! [X0] : (curious(X0) => (strong(X0) | ~quiet(X0))) [input p2]
15. ? [X0] : ~quiet(X0) <=> ? [X0] : strong(X0) [input p14]
24. curious(al... | 0 |
Everyone who is either happy or not curious is not tall or curious and vice versa.
Everyone who is not calm is both generous and quiet and vice versa.
Everyone who is not happy or creative is generous and vice versa.
If susan is quiet or not generous then lucy is not tall and vice versa.
Everyone who is not strong is n... | Susan is not generous. | neutral | (![X]:((happy(X)<~>~curious(X))<=>(~tall(X)|curious(X))))&
(![X]:(~calm(X)<=>(generous(X)&quiet(X))))&
(![X]:((~happy(X)|creative(X))<=>generous(X)))&
(((quiet(susan)|~generous(susan)))<=>(~tall(lucy)))&
(![X]:(~strong(X)<=>(~tall(X)|wise(X))))&
(((~strong(john)|~quiet(john)))<=>(?[X]:((tall(X)&~curious(X)))))&
((?[X]:... | ~generous(susan) | [] | null | 0 |
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