premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is old is either creative or not tall and vice versa.
Everyone who is either creative or curious is not humble and vice versa.
Everyone who is happy is tall or rich.
Everyone who is not wise or quiet is both not brave and happy.
Everyone who is both rich and not strong is both kind and not humble.
Everyone... | Lucy is rich. | entailment | (![X]:(old(X)<=>(creative(X)<~>~tall(X))))&
(![X]:((creative(X)<~>curious(X))<=>~humble(X)))&
(![X]:(happy(X)=>(tall(X)|rich(X))))&
(![X]:((~wise(X)|quiet(X))=>(~brave(X)&happy(X))))&
(![X]:((rich(X)&~strong(X))=>(kind(X)&~humble(X))))&
(![X]:(~brave(X)=>(old(X)&~curious(X))))&
((?[X]:((funny(X)&~strong(X))))<=>((tall(... | rich(lucy) | [
"p1",
"p3",
"p5",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 722810882478600631417741
% SZS output start Proof for 722810882478600631417741
2. ! [X0] : ((creative(X0) <~> curious(X0)) <=> ~humble(X0)) [input p1]
4. ! [X0] : ((quiet(X0) | ~wise(X0)) => (happy(X0) & ~brave(X0))) [input p3]
6. ! [X0] : (~brave(X0) => (~curious(X0) & old(X0))) [input p... | 0 |
Everyone who is both curious and not brave is not happy or humble and vice versa.
Everyone who is not patient or not rich is not humble and vice versa.
If someone is happy or not funny then someone is both not old and not happy.
Everyone who is either strong or funny is both brave and strong.
Everyone who is strong is ... | Mary is not wise. | contradiction | (![X]:((curious(X)&~brave(X))<=>(~happy(X)|humble(X))))&
(![X]:((~patient(X)|~rich(X))<=>~humble(X)))&
((?[X]:((happy(X)|~funny(X))))=>(?[X]:((~old(X)&~happy(X)))))&
(![X]:((strong(X)<~>funny(X))=>(brave(X)&strong(X))))&
(![X]:(strong(X)=>(wise(X)<~>~old(X))))&
(((~humble(paul)|~rich(paul)))=>((~rich(john)<~>~funny(joh... | ~wise(mary) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2242894079257887743344335
% SZS output start Proof for 2242894079257887743344335
1. ! [X0] : ((~brave(X0) & curious(X0)) <=> (humble(X0) | ~happy(X0))) [input p0]
3. ? [X0] : (~funny(X0) | happy(X0)) => ? [X0] : (~happy(X0) & ~old(X0)) [input p2]
4. ! [X0] : ((strong(X0) <~> funny(X0)) =>... | 0 |
If john is either not wise or wise then someone is kind and vice versa. Everyone who is not humble or strong is both not calm and kind. If someone is both not calm and quiet then john is either not strong or not funny. If paul is rich or not quiet then someone is not humble and vice versa. If someone is both humble and... | Fred is not strong. | entailment | (((~wise(john)<~>wise(john)))<=>(?[X]:(kind(X))))&
(![X]:((~humble(X)|strong(X))=>(~calm(X)&kind(X))))&
((?[X]:((~calm(X)&quiet(X))))=>((~strong(john)<~>~funny(john))))&
(((rich(paul)|~quiet(paul)))<=>(?[X]:(~humble(X))))&
((?[X]:((humble(X)&curious(X))))=>((~humble(paul)<~>~generous(paul))))&
(![X]:((~rich(X)<~>humble... | ~strong(fred) | [
"p1",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7571569582366966104206313
% SZS output start Proof for 7571569582366966104206313
2. ! [X0] : ((strong(X0) | ~humble(X0)) => (kind(X0) & ~calm(X0))) [input p1]
18. calm(fred) & ~funny(fred) [input p17]
25. strong(fred) [input hypothesis]
30. ! [X0] : ((kind(X0) & ~calm(X0)) | (~strong(X0) ... | 0 |
Everyone who is not wise is not funny and vice versa. Everyone who is generous is tall and vice versa. If fred is not brave then someone is either creative or not happy and vice versa. If paul is both not strong and not old then someone is not tall or not brave and vice versa. Everyone who is not rich is strong and vic... | Paul is brave. | entailment | (![X]:(~wise(X)<=>~funny(X)))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))))&
((?[X]:((calm(X)|happy(X))))=>((~wise... | brave(paul) | [
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2224968881915274458248439
% SZS output start Proof for 2224968881915274458248439
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> quiet(X0)) [input p7]
14. ! [X0] : ((~quiet(X0) | brave(X0)) => ~wise(X0)) [input p13]
16. ? [X0] : ~brave(X0) <=> (wise(alice) & ~happy(alice)) [input p15]
23. ~brave... | 0 |
Everyone who is strong or not calm is either curious or old and vice versa.
Everyone who is both old and not patient is both happy and patient and vice versa.
Everyone who is either not calm or not strong is either kind or quiet and vice versa.
If lucy is either quiet or not creative then someone is both humble and not... | Fred is kind. | entailment | (![X]:((strong(X)|~calm(X))<=>(curious(X)<~>old(X))))&
(![X]:((old(X)&~patient(X))<=>(happy(X)&patient(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(kind(X)<~>quiet(X))))&
(((quiet(lucy)<~>~creative(lucy)))<=>(?[X]:((humble(X)&~generous(X)))))&
(![X]:((kind(X)&~curious(X))<=>(~calm(X)<~>~wise(X))))&
(![X]:((old(X)&~creative... | kind(fred) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1299115972038974173651073
% SZS output start Proof for 1299115972038974173651073
1. ! [X0] : ((~calm(X0) | strong(X0)) <=> (curious(X0) <~> old(X0))) [input p0]
2. ! [X0] : ((~patient(X0) & old(X0)) <=> (patient(X0) & happy(X0))) [input p1]
3. ! [X0] : ((~calm(X0) <~> ~strong(X0)) <=> (ki... | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is not happy or not generous then paul is rich and vice versa.
Everyone who is either creative or not curious is kind.
If someone is either creative or calm then john is both patient and not funny and vice versa.
Everyone who is not calm or not ... | Mary is wise. | contradiction | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>(rich(paul)))&
(![X]:((creative(X)<~>~curious(X))=>kind(X)))&
((?[X]:((creative(X)<~>calm(X))))<=>((patient(john)&~funny(john))))&
(![X]:((~calm(X)|~humble(X))<=>(~happy(X)|generous(X))))&
(![X]:((generous(X)&~brave(X))<=>(~patien... | wise(mary) | [
"p0",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 686991556367516807521469
% SZS output start Proof for 686991556367516807521469
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
6. ! [X0] : ((~brave(X0) & generous(X0)) <=> (~quiet(X0) | ~patient(X0))) [input p5]
7. ! [X0] : (~quiet(X0) <=> (patient(X0) | ~cur... | 0 |
Everyone who is not quiet or not brave is both calm and not wise. Everyone who is not brave is either not kind or brave. Everyone who is both not wise and brave is both not humble and not funny. If someone is not happy then alice is funny or not curious and vice versa. Everyone who is either funny or kind is either old... | Lucy is not kind. | entailment | (![X]:((~quiet(X)|~brave(X))=>(calm(X)&~wise(X))))&
(![X]:(~brave(X)=>(~kind(X)<~>brave(X))))&
(![X]:((~wise(X)&brave(X))=>(~humble(X)&~funny(X))))&
((?[X]:(~happy(X)))<=>((funny(alice)|~curious(alice))))&
(![X]:((funny(X)<~>kind(X))=>(old(X)<~>funny(X))))&
((?[X]:((funny(X)|~generous(X))))=>(?[X]:((~tall(X)&~quiet(X))... | ~kind(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p9",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7382083979873459023596540
% SZS output start Proof for 7382083979873459023596540
2. ! [X0] : (~brave(X0) => (~kind(X0) <~> brave(X0))) [input p1]
3. ! [X0] : ((brave(X0) & ~wise(X0)) => (~funny(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((funny(X0) <~> kind(X0)) => (old(X0) <~> funny(X0))... | 0 |
Everyone who is either humble or not quiet is curious and vice versa. If susan is both not patient and kind then someone is wise. If someone is not wise then someone is not strong or not quiet. Everyone who is both brave and rich is either curious or generous and vice versa. Everyone who is either strong or wise is wis... | Alice is happy. | entailment | (![X]:((humble(X)<~>~quiet(X))<=>curious(X)))&
(((~patient(susan)&kind(susan)))=>(?[X]:(wise(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~strong(X)|~quiet(X)))))&
(![X]:((brave(X)&rich(X))<=>(curious(X)<~>generous(X))))&
(![X]:((strong(X)<~>wise(X))<=>(wise(X)|creative(X))))&
(((generous(alice)|~funny(alice)))=>(~tall(mary)))&
... | happy(alice) | [
"p4",
"p9",
"p15",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4277611715551664756508
% SZS output start Proof for 4277611715551664756508
5. ! [X0] : ((strong(X0) <~> wise(X0)) <=> (creative(X0) | wise(X0))) [input p4]
10. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (~curious(X0) | kind(X0))) [input p9]
16. ! [X0] : (kind(X0) <=> (~curious(X0) <~> ~wise... | 0 |
If fred is not calm then someone is funny or not strong and vice versa.
Everyone who is both rich and wise is not humble and vice versa.
Everyone who is curious is both patient and creative and vice versa.
If john is tall or not curious then someone is both not patient and quiet.
If someone is either not patient or cal... | John is not strong. | neutral | ((~calm(fred))<=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((rich(X)&wise(X))<=>~humble(X)))&
(![X]:(curious(X)<=>(patient(X)&creative(X))))&
(((tall(john)|~curious(john)))=>(?[X]:((~patient(X)&quiet(X)))))&
((?[X]:((~patient(X)<~>calm(X))))<=>((~funny(alice)<~>~happy(alice))))&
(![X]:((rich(X)|humble(X))<=>old(X)))&
(![X... | ~strong(john) | [] | null | 0 |
If john is both not happy and not humble then someone is either not happy or not patient.
If paul is happy then someone is both rich and not calm and vice versa.
If someone is old then paul is both not humble and not brave and vice versa.
Everyone who is either tall or not quiet is both not humble and wise and vice ver... | Paul is not curious. | contradiction | (((~happy(john)&~humble(john)))=>(?[X]:((~happy(X)<~>~patient(X)))))&
((happy(paul))<=>(?[X]:((rich(X)&~calm(X)))))&
((?[X]:(old(X)))<=>((~humble(paul)&~brave(paul))))&
(![X]:((tall(X)<~>~quiet(X))<=>(~humble(X)&wise(X))))&
((?[X]:((humble(X)<~>creative(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
(![X]:((~quiet(X)&~tall(X... | ~curious(paul) | [
"p3",
"p5",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7733087450324589717395644
% SZS output start Proof for 7733087450324589717395644
4. ! [X0] : ((tall(X0) <~> ~quiet(X0)) <=> (wise(X0) & ~humble(X0))) [input p3]
6. ! [X0] : ((~tall(X0) & ~quiet(X0)) <=> creative(X0)) [input p5]
8. ! [X0] : ((~creative(X0) <~> creative(X0)) => (curious(X0)... | 0 |
Everyone who is not patient is either happy or not tall.
If paul is old or curious then mary is wise or kind and vice versa.
If someone is not creative or brave then alice is both not quiet and tall.
Everyone who is either happy or brave is either kind or not happy and vice versa.
If someone is generous then someone is... | John is wise. | contradiction | (![X]:(~patient(X)=>(happy(X)<~>~tall(X))))&
(((old(paul)|curious(paul)))<=>((wise(mary)|kind(mary))))&
((?[X]:((~creative(X)|brave(X))))=>((~quiet(alice)&tall(alice))))&
(![X]:((happy(X)<~>brave(X))<=>(kind(X)<~>~happy(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~kind(X))))&
(![X]:((calm(X)|~rich(X))=>(quiet(X)<~>~curious(X... | wise(john) | [
"p4",
"p6",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1971232740270968188597721
% SZS output start Proof for 1971232740270968188597721
5. ? [X0] : generous(X0) <=> ? [X0] : ~kind(X0) [input p4]
7. ! [X0] : (~kind(X0) <=> (~curious(X0) & ~wise(X0))) [input p6]
10. ! [X0] : ((~generous(X0) | strong(X0)) => (~happy(X0) & patient(X0))) [input p9... | 0 |
If someone is old then john is either not humble or funny and vice versa. If paul is both not patient and not strong then someone is both tall and not creative and vice versa. If someone is wise or generous then alice is either not patient or not funny. If paul is not funny then lucy is both not calm and kind and vice ... | John is patient. | neutral | ((?[X]:(old(X)))<=>((~humble(john)<~>funny(john))))&
(((~patient(paul)&~strong(paul)))<=>(?[X]:((tall(X)&~creative(X)))))&
((?[X]:((wise(X)|generous(X))))=>((~patient(alice)<~>~funny(alice))))&
((~funny(paul))<=>((~calm(lucy)&kind(lucy))))&
(![X]:(generous(X)<=>(strong(X)|~tall(X))))&
(![X]:((~patient(X)&strong(X))=>(c... | patient(john) | [] | null | 0 |
If john is not brave or old then alice is not funny or happy and vice versa. Everyone who is either rich or not funny is not calm. If mary is either rich or brave then lucy is either not old or not quiet. Everyone who is both not kind and happy is both not tall and curious and vice versa. If alice is both not strong an... | Fred is happy. | contradiction | (((~brave(john)|old(john)))<=>((~funny(alice)|happy(alice))))&
(![X]:((rich(X)<~>~funny(X))=>~calm(X)))&
(((rich(mary)<~>brave(mary)))=>((~old(lucy)<~>~quiet(lucy))))&
(![X]:((~kind(X)&happy(X))<=>(~tall(X)&curious(X))))&
(((~strong(alice)&old(alice)))<=>(?[X]:((rich(X)|humble(X)))))&
(![X]:((kind(X)|rich(X))=>(~old(X)... | happy(fred) | [
"p4",
"p5",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8608458676837450318865755
% SZS output start Proof for 8608458676837450318865755
5. (old(alice) & ~strong(alice)) <=> ? [X0] : (humble(X0) | rich(X0)) [input p4]
6. ! [X0] : ((rich(X0) | kind(X0)) => (kind(X0) & ~old(X0))) [input p5]
11. ! [X0] : ((~kind(X0) <~> ~old(X0)) => (~quiet(X0) &... | 0 |
Everyone who is both patient and not funny is either calm or kind.
Everyone who is not funny or funny is both quiet and not brave.
If someone is tall then lucy is either not tall or patient.
If john is both not curious and not happy then someone is not calm or strong and vice versa.
Everyone who is either not tall or p... | Mary is not patient. | contradiction | (![X]:((patient(X)&~funny(X))=>(calm(X)<~>kind(X))))&
(![X]:((~funny(X)|funny(X))=>(quiet(X)&~brave(X))))&
((?[X]:(tall(X)))=>((~tall(lucy)<~>patient(lucy))))&
(((~curious(john)&~happy(john)))<=>(?[X]:((~calm(X)|strong(X)))))&
(![X]:((~tall(X)<~>patient(X))=>old(X)))&
(![X]:(kind(X)<=>(curious(X)|rich(X))))&
((?[X]:((~... | ~patient(mary) | [
"p1",
"p2",
"p3",
"p4",
"p7",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7592910292830319203688932
% SZS output start Proof for 7592910292830319203688932
2. ! [X0] : ((funny(X0) | ~funny(X0)) => (~brave(X0) & quiet(X0))) [input p1]
3. ? [X0] : tall(X0) => (~tall(lucy) <~> patient(lucy)) [input p2]
4. (~happy(john) & ~curious(john)) <=> ? [X0] : (strong(X0) | ~... | 0 |
Everyone who is either not kind or not calm is not strong and vice versa.
Everyone who is not patient or kind is either generous or humble.
Everyone who is both humble and wise is not happy or rich.
If someone is both kind and not tall then fred is not humble or humble.
Everyone who is quiet is not calm or not funny.
I... | Fred is not kind. | entailment | (![X]:((~kind(X)<~>~calm(X))<=>~strong(X)))&
(![X]:((~patient(X)|kind(X))=>(generous(X)<~>humble(X))))&
(![X]:((humble(X)&wise(X))=>(~happy(X)|rich(X))))&
((?[X]:((kind(X)&~tall(X))))=>((~humble(fred)|humble(fred))))&
(![X]:(quiet(X)=>(~calm(X)|~funny(X))))&
((?[X]:((humble(X)|~tall(X))))<=>(?[X]:((funny(X)&~happy(X)))... | ~kind(fred) | [
"p0",
"p1",
"p9",
"p11",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5365687944240197149710226
% SZS output start Proof for 5365687944240197149710226
1. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> ~strong(X0)) [input p0]
2. ! [X0] : ((kind(X0) | ~patient(X0)) => (generous(X0) <~> humble(X0))) [input p1]
10. ! [X0] : (generous(X0) <=> ~brave(X0)) [input p9]
12.... | 0 |
If mary is either patient or not humble then someone is both not kind and calm and vice versa. Everyone who is both rich and happy is both not patient and not strong. Everyone who is either not happy or brave is quiet and vice versa. Everyone who is happy or calm is either rich or humble. Everyone who is either kind or... | John is not brave. | entailment | (((patient(mary)<~>~humble(mary)))<=>(?[X]:((~kind(X)&calm(X)))))&
(![X]:((rich(X)&happy(X))=>(~patient(X)&~strong(X))))&
(![X]:((~happy(X)<~>brave(X))<=>quiet(X)))&
(![X]:((happy(X)|calm(X))=>(rich(X)<~>humble(X))))&
(![X]:((kind(X)<~>rich(X))=>strong(X)))&
(![X]:((funny(X)<~>happy(X))<=>(brave(X)<~>funny(X))))&
(![X]... | ~brave(john) | [
"p2",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2565006234950462528447787
% SZS output start Proof for 2565006234950462528447787
3. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> quiet(X0)) [input p2]
6. ! [X0] : ((funny(X0) <~> happy(X0)) <=> (brave(X0) <~> funny(X0))) [input p5]
13. ? [X0] : (~patient(X0) & ~quiet(X0)) <=> ? [X0] : (happy(... | 0 |
Everyone who is both not funny and not curious is not happy.
If someone is either humble or not curious then someone is not strong.
If mary is both not curious and old then someone is both not curious and humble and vice versa.
Everyone who is both not patient and not generous is both not wise and brave.
Everyone who i... | Mary is curious. | neutral | (![X]:((~funny(X)&~curious(X))=>~happy(X)))&
((?[X]:((humble(X)<~>~curious(X))))=>(?[X]:(~strong(X))))&
(((~curious(mary)&old(mary)))<=>(?[X]:((~curious(X)&humble(X)))))&
(![X]:((~patient(X)&~generous(X))=>(~wise(X)&brave(X))))&
(![X]:((tall(X)<~>funny(X))<=>(humble(X)&~wise(X))))&
(![X]:(wise(X)=>(calm(X)|~calm(X))))&... | curious(mary) | [] | null | 0 |
If mary is both not generous and tall then paul is both happy and not generous.
Everyone who is either not quiet or quiet is generous.
If someone is either tall or rich then someone is both rich and funny and vice versa.
If someone is not funny or humble then john is both not brave and not old.
If mary is either not fu... | John is not creative. | contradiction | (((~generous(mary)&tall(mary)))=>((happy(paul)&~generous(paul))))&
(![X]:((~quiet(X)<~>quiet(X))=>generous(X)))&
((?[X]:((tall(X)<~>rich(X))))<=>(?[X]:((rich(X)&funny(X)))))&
((?[X]:((~funny(X)|humble(X))))=>((~brave(john)&~old(john))))&
(((~funny(mary)<~>~wise(mary)))<=>(~humble(mary)))&
(![X]:((tall(X)|humble(X))<=>(... | ~creative(john) | [
"p1",
"p5",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7162451797083162860205810
% SZS output start Proof for 7162451797083162860205810
2. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => generous(X0)) [input p1]
6. ! [X0] : ((humble(X0) | tall(X0)) <=> (~patient(X0) | ~brave(X0))) [input p5]
13. ! [X0] : ((~quiet(X0) | brave(X0)) => (generous(X0) <~>... | 0 |
Everyone who is either brave or quiet is both strong and brave. Everyone who is both not funny and curious is both not happy and not rich and vice versa. Everyone who is either not strong or kind is either not creative or brave and vice versa. Everyone who is not rich or not old is not creative. If someone is not rich ... | Alice is funny. | contradiction | (![X]:((brave(X)<~>quiet(X))=>(strong(X)&brave(X))))&
(![X]:((~funny(X)&curious(X))<=>(~happy(X)&~rich(X))))&
(![X]:((~strong(X)<~>kind(X))<=>(~creative(X)<~>brave(X))))&
(![X]:((~rich(X)|~old(X))=>~creative(X)))&
((?[X]:(~rich(X)))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)<~>curious(X))=>(curious(X)<~>~rich(X))))&
((s... | funny(alice) | [
"p0",
"p2",
"p3",
"p5",
"p11",
"p13",
"p14",
"p15",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1844181983894682041839355
% SZS output start Proof for 1844181983894682041839355
1. ! [X0] : ((brave(X0) <~> quiet(X0)) => (brave(X0) & strong(X0))) [input p0]
3. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (~creative(X0) <~> brave(X0))) [input p2]
4. ! [X0] : ((~old(X0) | ~rich(X0)) => ~cre... | 0 |
If someone is both not humble and not creative then someone is calm or not creative.
Everyone who is strong is either happy or tall and vice versa.
If mary is not curious or not rich then lucy is either patient or not kind.
If paul is either not creative or rich then someone is either not rich or not old and vice versa... | Lucy is kind. | neutral | ((?[X]:((~humble(X)&~creative(X))))=>(?[X]:((calm(X)|~creative(X)))))&
(![X]:(strong(X)<=>(happy(X)<~>tall(X))))&
(((~curious(mary)|~rich(mary)))=>((patient(lucy)<~>~kind(lucy))))&
(((~creative(paul)<~>rich(paul)))<=>(?[X]:((~rich(X)<~>~old(X)))))&
(((rich(paul)<~>~curious(paul)))=>((~curious(fred)|~creative(fred))))&
... | kind(lucy) | [] | null | 0 |
Everyone who is either not curious or not creative is not curious or wise.
If susan is both tall and not quiet then lucy is either kind or strong and vice versa.
Everyone who is not creative or not rich is either not brave or kind and vice versa.
Everyone who is both wise and not old is not wise.
Everyone who is not ge... | Mary is old. | entailment | (![X]:((~curious(X)<~>~creative(X))=>(~curious(X)|wise(X))))&
(((tall(susan)&~quiet(susan)))<=>((kind(lucy)<~>strong(lucy))))&
(![X]:((~creative(X)|~rich(X))<=>(~brave(X)<~>kind(X))))&
(![X]:((wise(X)&~old(X))=>~wise(X)))&
(![X]:((~generous(X)|rich(X))=>(~strong(X)<~>~old(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>(?... | old(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 477988370743307690404619
% SZS output start Proof for 477988370743307690404619
10. ! [X0] : ((old(X0) & ~patient(X0)) <=> ~old(X0)) [input p9]
24. ~old(mary) [input hypothesis]
52. ! [X0] : (((old(X0) & ~patient(X0)) | old(X0)) & (~old(X0) | (~old(X0) | patient(X0)))) [nnf transformation ... | 0 |
Everyone who is either not tall or old is both wise and kind and vice versa. If someone is either not wise or not tall then paul is either brave or not wise and vice versa. Everyone who is both not happy and not creative is not old. Everyone who is not rich or not curious is not old or calm. Everyone who is not generou... | Susan is generous. | neutral | (![X]:((~tall(X)<~>old(X))<=>(wise(X)&kind(X))))&
((?[X]:((~wise(X)<~>~tall(X))))<=>((brave(paul)<~>~wise(paul))))&
(![X]:((~happy(X)&~creative(X))=>~old(X)))&
(![X]:((~rich(X)|~curious(X))=>(~old(X)|calm(X))))&
(![X]:((~generous(X)|strong(X))=>creative(X)))&
(![X]:((creative(X)|~funny(X))=>quiet(X)))&
(![X]:((happy(X)... | generous(susan) | [] | null | 0 |
If someone is kind then someone is not tall. If someone is brave then someone is either not kind or not happy and vice versa. If someone is both rich and generous then alice is calm and vice versa. Everyone who is happy or tall is humble and vice versa. Everyone who is not happy or rich is either funny or rich. Everyon... | John is humble. | contradiction | ((?[X]:(kind(X)))=>(?[X]:(~tall(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
((?[X]:((rich(X)&generous(X))))<=>(calm(alice)))&
(![X]:((happy(X)|tall(X))<=>humble(X)))&
(![X]:((~happy(X)|rich(X))=>(funny(X)<~>rich(X))))&
(![X]:((patient(X)&old(X))<=>(humble(X)|~humble(X))))&
(![X]:((~quiet(X)|curious(X)... | humble(john) | [
"p3",
"p5",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3258340293329472920160463
% SZS output start Proof for 3258340293329472920160463
4. ! [X0] : ((tall(X0) | happy(X0)) <=> humble(X0)) [input p3]
6. ! [X0] : ((old(X0) & patient(X0)) <=> (~humble(X0) | humble(X0))) [input p5]
11. ? [X0] : (happy(X0) & ~old(X0)) <=> tall(john) [input p10]
14... | 0 |
Everyone who is not funny is not brave.
Everyone who is both not tall and happy is either not funny or generous and vice versa.
Everyone who is either not old or not strong is either curious or not rich and vice versa.
Everyone who is either not humble or patient is funny.
If fred is not humble or not kind then fred is... | Paul is generous. | entailment | (![X]:(~funny(X)=>~brave(X)))&
(![X]:((~tall(X)&happy(X))<=>(~funny(X)<~>generous(X))))&
(![X]:((~old(X)<~>~strong(X))<=>(curious(X)<~>~rich(X))))&
(![X]:((~humble(X)<~>patient(X))=>funny(X)))&
(((~humble(fred)|~kind(fred)))<=>((~rich(fred)|wise(fred))))&
((?[X]:((~old(X)&~tall(X))))<=>(~old(alice)))&
(((happy(paul)<~>... | generous(paul) | [
"p3",
"p7",
"p8",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3797437004714923545880094
% SZS output start Proof for 3797437004714923545880094
4. ! [X0] : ((~humble(X0) <~> patient(X0)) => funny(X0)) [input p3]
8. ! [X0] : ((~rich(X0) & generous(X0)) <=> (~generous(X0) <~> ~curious(X0))) [input p7]
9. (~generous(paul) <~> ~curious(paul)) <=> ? [X0] ... | 0 |
Everyone who is happy is quiet or curious and vice versa.
Everyone who is not strong or generous is both not humble and not patient.
Everyone who is not humble is either not wise or not humble and vice versa.
Everyone who is generous or not funny is strong and vice versa.
Everyone who is either not generous or not rich... | Alice is tall. | contradiction | (![X]:(happy(X)<=>(quiet(X)|curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)&~patient(X))))&
(![X]:(~humble(X)<=>(~wise(X)<~>~humble(X))))&
(![X]:((generous(X)|~funny(X))<=>strong(X)))&
(![X]:((~generous(X)<~>~rich(X))<=>(~calm(X)|patient(X))))&
(![X]:((~tall(X)<~>creative(X))<=>(~rich(X)<~>humble(X))))&
((?... | tall(alice) | [
"p0",
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4763325002980946164228396
% SZS output start Proof for 4763325002980946164228396
1. ! [X0] : (happy(X0) <=> (curious(X0) | quiet(X0))) [input p0]
2. ! [X0] : ((generous(X0) | ~strong(X0)) => (~patient(X0) & ~humble(X0))) [input p1]
4. ! [X0] : ((~funny(X0) | generous(X0)) <=> strong(X0)) ... | 0 |
If someone is both not tall and strong then someone is curious.
Everyone who is not tall or not creative is both quiet and not brave and vice versa.
If someone is both old and happy then john is not wise or generous and vice versa.
If lucy is either old or not kind then paul is either not generous or creative.
If someo... | Mary is not brave. | neutral | ((?[X]:((~tall(X)&strong(X))))=>(?[X]:(curious(X))))&
(![X]:((~tall(X)|~creative(X))<=>(quiet(X)&~brave(X))))&
((?[X]:((old(X)&happy(X))))<=>((~wise(john)|generous(john))))&
(((old(lucy)<~>~kind(lucy)))=>((~generous(paul)<~>creative(paul))))&
((?[X]:((creative(X)|~tall(X))))=>(~generous(fred)))&
(![X]:((~curious(X)<~>k... | ~brave(mary) | [] | null | 0 |
If lucy is patient or happy then someone is not old and vice versa.
If alice is not quiet or not humble then alice is not wise.
Everyone who is not calm is both rich and not creative and vice versa.
If someone is both kind and not tall then someone is wise.
Everyone who is either creative or kind is both old and not ta... | Lucy is old. | entailment | (((patient(lucy)|happy(lucy)))<=>(?[X]:(~old(X))))&
(((~quiet(alice)|~humble(alice)))=>(~wise(alice)))&
(![X]:(~calm(X)<=>(rich(X)&~creative(X))))&
((?[X]:((kind(X)&~tall(X))))=>(?[X]:(wise(X))))&
(![X]:((creative(X)<~>kind(X))<=>(old(X)&~tall(X))))&
((?[X]:((~old(X)<~>~strong(X))))=>((~rich(john)|old(john))))&
(![X]:(... | old(lucy) | [
"p2",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5610392649996537388416197
% SZS output start Proof for 5610392649996537388416197
3. ! [X0] : (~calm(X0) <=> (~creative(X0) & rich(X0))) [input p2]
5. ! [X0] : ((creative(X0) <~> kind(X0)) <=> (~tall(X0) & old(X0))) [input p4]
9. ? [X0] : ~creative(X0) <=> ? [X0] : kind(X0) [input p8]
11. ... | 0 |
If susan is not funny or generous then fred is not humble or not creative.
Everyone who is not brave is not kind and vice versa.
If someone is both not creative and not old then someone is both humble and not old and vice versa.
Everyone who is either old or not brave is both not kind and not happy.
Everyone who is bot... | Alice is kind. | contradiction | (((~funny(susan)|generous(susan)))=>((~humble(fred)|~creative(fred))))&
(![X]:(~brave(X)<=>~kind(X)))&
((?[X]:((~creative(X)&~old(X))))<=>(?[X]:((humble(X)&~old(X)))))&
(![X]:((old(X)<~>~brave(X))=>(~kind(X)&~happy(X))))&
(![X]:((~patient(X)&wise(X))=>(calm(X)|kind(X))))&
(![X]:((~kind(X)&~happy(X))<=>(~tall(X)<~>~quie... | kind(alice) | [
"p1",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9053384097784602762327016
% SZS output start Proof for 9053384097784602762327016
2. ! [X0] : (~brave(X0) <=> ~kind(X0)) [input p1]
4. ! [X0] : ((old(X0) <~> ~brave(X0)) => (~happy(X0) & ~kind(X0))) [input p3]
19. happy(alice) & old(alice) [input p18]
25. kind(alice) [input hypothesis]
30.... | 0 |
Everyone who is not generous is not patient and vice versa. If someone is not curious or brave then paul is not quiet or not strong and vice versa. If alice is either not brave or brave then someone is both not happy and not curious and vice versa. If someone is not generous or not curious then someone is not creative.... | Mary is wise. | neutral | (![X]:(~generous(X)<=>~patient(X)))&
((?[X]:((~curious(X)|brave(X))))<=>((~quiet(paul)|~strong(paul))))&
(((~brave(alice)<~>brave(alice)))<=>(?[X]:((~happy(X)&~curious(X)))))&
((?[X]:((~generous(X)|~curious(X))))=>(?[X]:(~creative(X))))&
(![X]:((~generous(X)|creative(X))=>(happy(X)|~humble(X))))&
(![X]:((wise(X)<~>~ric... | wise(mary) | [] | null | 0 |
Everyone who is either not quiet or old is not happy or happy and vice versa.
If alice is not old or not kind then someone is both not wise and happy and vice versa.
Everyone who is brave or old is wise and vice versa.
Everyone who is old is both not old and creative.
If fred is humble or calm then someone is not kind ... | Paul is humble. | neutral | (![X]:((~quiet(X)<~>old(X))<=>(~happy(X)|happy(X))))&
(((~old(alice)|~kind(alice)))<=>(?[X]:((~wise(X)&happy(X)))))&
(![X]:((brave(X)|old(X))<=>wise(X)))&
(![X]:(old(X)=>(~old(X)&creative(X))))&
(((humble(fred)|calm(fred)))=>(?[X]:((~kind(X)|tall(X)))))&
(![X]:((~humble(X)<~>~wise(X))=>humble(X)))&
(![X]:((brave(X)|fun... | humble(paul) | [] | null | 0 |
If john is either creative or brave then john is either strong or funny and vice versa.
Everyone who is either not strong or not tall is quiet.
Everyone who is both funny and creative is either not patient or rich and vice versa.
Everyone who is both curious and not rich is humble.
If lucy is either quiet or funny then... | Mary is curious. | contradiction | (((creative(john)<~>brave(john)))<=>((strong(john)<~>funny(john))))&
(![X]:((~strong(X)<~>~tall(X))=>quiet(X)))&
(![X]:((funny(X)&creative(X))<=>(~patient(X)<~>rich(X))))&
(![X]:((curious(X)&~rich(X))=>humble(X)))&
(((quiet(lucy)<~>funny(lucy)))=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:(~funny(X)=>(~curious(X)|strong(X)... | curious(mary) | [
"p8",
"p9",
"p10",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 852225622067346599266145
% SZS output start Proof for 852225622067346599266145
9. ! [X0] : ((old(X0) & ~wise(X0)) <=> (~quiet(X0) & brave(X0))) [input p8]
10. ! [X0] : ((~brave(X0) | ~old(X0)) <=> (~creative(X0) | ~curious(X0))) [input p9]
11. ! [X0] : (~quiet(X0) => (~generous(X0) & ~tal... | 0 |
If paul is either generous or not patient then someone is strong or not strong.
Everyone who is not tall or rich is creative and vice versa.
Everyone who is either curious or not creative is both not curious and not old.
Everyone who is kind is both rich and not curious.
If alice is either not rich or not brave then ma... | Lucy is funny. | entailment | (((generous(paul)<~>~patient(paul)))=>(?[X]:((strong(X)|~strong(X)))))&
(![X]:((~tall(X)|rich(X))<=>creative(X)))&
(![X]:((curious(X)<~>~creative(X))=>(~curious(X)&~old(X))))&
(![X]:(kind(X)=>(rich(X)&~curious(X))))&
(((~rich(alice)<~>~brave(alice)))<=>((humble(mary)<~>quiet(mary))))&
(((~kind(paul)&generous(paul)))<=>... | funny(lucy) | [
"p1",
"p2",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8512444920525055801851000
% SZS output start Proof for 8512444920525055801851000
2. ! [X0] : ((rich(X0) | ~tall(X0)) <=> creative(X0)) [input p1]
3. ! [X0] : ((curious(X0) <~> ~creative(X0)) => (~old(X0) & ~curious(X0))) [input p2]
7. ! [X0] : (~creative(X0) <=> (~curious(X0) | rich(X0)))... | 0 |
If lucy is either not quiet or strong then someone is tall and vice versa.
If someone is both generous and old then susan is not happy or not strong.
If fred is both curious and not curious then someone is either not generous or brave.
Everyone who is either old or not patient is strong.
If fred is either funny or not ... | Paul is humble. | contradiction | (((~quiet(lucy)<~>strong(lucy)))<=>(?[X]:(tall(X))))&
((?[X]:((generous(X)&old(X))))=>((~happy(susan)|~strong(susan))))&
(((curious(fred)&~curious(fred)))=>(?[X]:((~generous(X)<~>brave(X)))))&
(![X]:((old(X)<~>~patient(X))=>strong(X)))&
(((funny(fred)<~>~happy(fred)))=>((old(lucy)<~>strong(lucy))))&
(![X]:((~kind(X)<~>... | humble(paul) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5138450024976904197338378
% SZS output start Proof for 5138450024976904197338378
10. ! [X0] : ((patient(X0) <~> ~old(X0)) => (~old(X0) <~> ~humble(X0))) [input p9]
18. old(paul) & patient(paul) [input p17]
25. humble(paul) [input hypothesis]
36. ! [X0] : ((~old(X0) <~> ~humble(X0)) | (pat... | 0 |
If someone is both quiet and not quiet then mary is creative or brave and vice versa.
If susan is curious then paul is either not rich or calm and vice versa.
If someone is not calm then paul is both not rich and kind and vice versa.
Everyone who is either patient or wise is either not old or creative.
Everyone who is ... | Lucy is not calm. | entailment | ((?[X]:((quiet(X)&~quiet(X))))<=>((creative(mary)|brave(mary))))&
((curious(susan))<=>((~rich(paul)<~>calm(paul))))&
((?[X]:(~calm(X)))<=>((~rich(paul)&kind(paul))))&
(![X]:((patient(X)<~>wise(X))=>(~old(X)<~>creative(X))))&
(![X]:((~old(X)<~>calm(X))<=>(tall(X)&~brave(X))))&
((?[X]:((~brave(X)&happy(X))))=>((~tall(luc... | ~calm(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 223882541628047958732381
% SZS output start Proof for 223882541628047958732381
9. ? [X0] : (calm(X0) | ~strong(X0)) <=> (~wise(lucy) & ~calm(lucy)) [input p8]
24. calm(lucy) [input hypothesis]
57. (? [X0] : (calm(X0) | ~strong(X0)) | (wise(lucy) | calm(lucy))) & ((~wise(lucy) & ~calm(lucy... | 0 |
Everyone who is both quiet and not kind is not humble or not brave.
Everyone who is not tall or not happy is either calm or tall and vice versa.
If someone is not generous then someone is not kind or patient.
Everyone who is both brave and not wise is creative and vice versa.
Everyone who is not generous is either not ... | Fred is tall. | neutral | (![X]:((quiet(X)&~kind(X))=>(~humble(X)|~brave(X))))&
(![X]:((~tall(X)|~happy(X))<=>(calm(X)<~>tall(X))))&
((?[X]:(~generous(X)))=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:((brave(X)&~wise(X))<=>creative(X)))&
(![X]:(~generous(X)<=>(~humble(X)<~>tall(X))))&
(![X]:((creative(X)|patient(X))=>quiet(X)))&
(![X]:(patient(X)=>... | tall(fred) | [] | null | 0 |
Everyone who is brave or not patient is not generous. Everyone who is both brave and tall is calm or generous and vice versa. If someone is not quiet then fred is either not quiet or not calm. Everyone who is not curious or calm is not generous or old and vice versa. If lucy is either not old or not brave then someone ... | Mary is funny. | contradiction | (![X]:((brave(X)|~patient(X))=>~generous(X)))&
(![X]:((brave(X)&tall(X))<=>(calm(X)|generous(X))))&
((?[X]:(~quiet(X)))=>((~quiet(fred)<~>~calm(fred))))&
(![X]:((~curious(X)|calm(X))<=>(~generous(X)|old(X))))&
(((~old(lucy)<~>~brave(lucy)))=>(?[X]:((~humble(X)|~strong(X)))))&
(((~rich(susan)<~>happy(susan)))<=>(?[X]:((... | funny(mary) | [
"p0",
"p1",
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6215234595789364071542006
% SZS output start Proof for 6215234595789364071542006
1. ! [X0] : ((~patient(X0) | brave(X0)) => ~generous(X0)) [input p0]
2. ! [X0] : ((tall(X0) & brave(X0)) <=> (generous(X0) | calm(X0))) [input p1]
4. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (old(X0) | ~genero... | 0 |
If lucy is generous or funny then someone is not calm. Everyone who is either tall or not quiet is quiet and vice versa. If someone is brave or not generous then someone is both quiet and not funny. Everyone who is both not humble and not strong is happy or not funny and vice versa. Everyone who is both wise and not ki... | John is not curious. | contradiction | (((generous(lucy)|funny(lucy)))=>(?[X]:(~calm(X))))&
(![X]:((tall(X)<~>~quiet(X))<=>quiet(X)))&
((?[X]:((brave(X)|~generous(X))))=>(?[X]:((quiet(X)&~funny(X)))))&
(![X]:((~humble(X)&~strong(X))<=>(happy(X)|~funny(X))))&
(![X]:((wise(X)&~kind(X))<=>(generous(X)&~curious(X))))&
((patient(lucy))<=>((~curious(lucy)<~>~kind... | ~curious(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7677461313749501761749620
% SZS output start Proof for 7677461313749501761749620
14. ! [X0] : (~curious(X0) <=> (creative(X0) & ~creative(X0))) [input p13]
25. ~curious(john) [input hypothesis]
67. ! [X0] : ((~curious(X0) | (~creative(X0) | creative(X0))) & ((creative(X0) & ~creative(X0))... | 0 |
Everyone who is kind is not generous.
Everyone who is both patient and not patient is either not generous or not creative and vice versa.
Everyone who is happy is not strong or not funny.
Everyone who is not quiet or wise is both brave and old.
If lucy is rich or tall then paul is not humble and vice versa.
Everyone wh... | Susan is kind. | neutral | (![X]:(kind(X)=>~generous(X)))&
(![X]:((patient(X)&~patient(X))<=>(~generous(X)<~>~creative(X))))&
(![X]:(happy(X)=>(~strong(X)|~funny(X))))&
(![X]:((~quiet(X)|wise(X))=>(brave(X)&old(X))))&
(((rich(lucy)|tall(lucy)))<=>(~humble(paul)))&
(![X]:(creative(X)=>~patient(X)))&
(![X]:(strong(X)<=>(rich(X)|~kind(X))))&
(![X]:... | kind(susan) | [] | null | 0 |
If fred is both not tall and not patient then someone is either wise or not wise and vice versa.
If paul is both strong and rich then someone is both curious and not kind and vice versa.
If lucy is both curious and not funny then susan is either not generous or happy.
Everyone who is not tall or kind is both not calm a... | Paul is not curious. | contradiction | (((~tall(fred)&~patient(fred)))<=>(?[X]:((wise(X)<~>~wise(X)))))&
(((strong(paul)&rich(paul)))<=>(?[X]:((curious(X)&~kind(X)))))&
(((curious(lucy)&~funny(lucy)))=>((~generous(susan)<~>happy(susan))))&
(![X]:((~tall(X)|kind(X))=>(~calm(X)&quiet(X))))&
((?[X]:((old(X)&creative(X))))<=>(?[X]:((~calm(X)&strong(X)))))&
(![X... | ~curious(paul) | [
"p3",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4626772483741361593868613
% SZS output start Proof for 4626772483741361593868613
4. ! [X0] : ((kind(X0) | ~tall(X0)) => (quiet(X0) & ~calm(X0))) [input p3]
6. ! [X0] : (tall(X0) => ~quiet(X0)) [input p5]
13. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> rich(X0)) [input p12]
16. ! [X0] : ((~quie... | 0 |
Everyone who is both happy and curious is humble.
If lucy is both kind and generous then alice is not rich.
Everyone who is either old or not calm is quiet and vice versa.
If lucy is calm or kind then paul is both old and not old.
If susan is calm or wise then someone is either not quiet or not tall.
Everyone who is wi... | Alice is kind. | contradiction | (![X]:((happy(X)&curious(X))=>humble(X)))&
(((kind(lucy)&generous(lucy)))=>(~rich(alice)))&
(![X]:((old(X)<~>~calm(X))<=>quiet(X)))&
(((calm(lucy)|kind(lucy)))=>((old(paul)&~old(paul))))&
(((calm(susan)|wise(susan)))=>(?[X]:((~quiet(X)<~>~tall(X)))))&
(![X]:((wise(X)|creative(X))=>(wise(X)<~>~humble(X))))&
((?[X]:((hum... | kind(alice) | [
"p8",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8826256528345155743351533
% SZS output start Proof for 8826256528345155743351533
9. ? [X0] : (kind(X0) | ~quiet(X0)) => (~quiet(john) & ~happy(john)) [input p8]
14. ! [X0] : (~wise(X0) <=> (~happy(X0) | ~quiet(X0))) [input p13]
18. wise(john) [input p17]
22. kind(alice) [input hypothesis]... | 0 |
If someone is happy or curious then someone is not rich or old.
Everyone who is brave or happy is both not quiet and not humble and vice versa.
Everyone who is not rich is either tall or rich and vice versa.
Everyone who is either humble or not rich is not old and vice versa.
Everyone who is either rich or not wise is ... | Paul is wise. | neutral | ((?[X]:((happy(X)|curious(X))))=>(?[X]:((~rich(X)|old(X)))))&
(![X]:((brave(X)|happy(X))<=>(~quiet(X)&~humble(X))))&
(![X]:(~rich(X)<=>(tall(X)<~>rich(X))))&
(![X]:((humble(X)<~>~rich(X))<=>~old(X)))&
(![X]:((rich(X)<~>~wise(X))=>happy(X)))&
(![X]:(happy(X)=>(rich(X)<~>~quiet(X))))&
(![X]:(patient(X)=>~quiet(X)))&
((?[... | wise(paul) | [] | null | 0 |
Everyone who is both old and not humble is not wise. If paul is wise then susan is not old. Everyone who is not curious is either kind or not wise. Everyone who is brave is not humble or humble. Everyone who is patient is happy or humble and vice versa. Everyone who is not old is either curious or quiet and vice versa.... | Susan is funny. | entailment | (![X]:((old(X)&~humble(X))=>~wise(X)))&
((wise(paul))=>(~old(susan)))&
(![X]:(~curious(X)=>(kind(X)<~>~wise(X))))&
(![X]:(brave(X)=>(~humble(X)|humble(X))))&
(![X]:(patient(X)<=>(happy(X)|humble(X))))&
(![X]:(~old(X)<=>(curious(X)<~>quiet(X))))&
((?[X]:(~happy(X)))=>((~funny(fred)&~patient(fred))))&
((~rich(fred))=>(?[... | funny(susan) | [
"p5",
"p8",
"p9",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4910632431288240785664086
% SZS output start Proof for 4910632431288240785664086
6. ! [X0] : (~old(X0) <=> (curious(X0) <~> quiet(X0))) [input p5]
9. ! [X0] : ((curious(X0) <~> ~generous(X0)) => (generous(X0) | ~kind(X0))) [input p8]
10. ! [X0] : ((generous(X0) <~> rich(X0)) <=> (rich(X0)... | 0 |
Everyone who is funny is both not happy and funny.
Everyone who is funny or happy is quiet.
If susan is wise or not tall then someone is both humble and brave and vice versa.
Everyone who is humble is either funny or creative.
Everyone who is either not generous or not quiet is not rich and vice versa.
Everyone who is ... | Susan is wise. | entailment | (![X]:(funny(X)=>(~happy(X)&funny(X))))&
(![X]:((funny(X)|happy(X))=>quiet(X)))&
(((wise(susan)|~tall(susan)))<=>(?[X]:((humble(X)&brave(X)))))&
(![X]:(humble(X)=>(funny(X)<~>creative(X))))&
(![X]:((~generous(X)<~>~quiet(X))<=>~rich(X)))&
(![X]:(old(X)<=>(quiet(X)&curious(X))))&
(![X]:((old(X)&funny(X))=>(~strong(X)|ri... | wise(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7277412209145889200708909
% SZS output start Proof for 7277412209145889200708909
22. patient(susan) & wise(susan) [input p21]
25. ~wise(susan) [input hypothesis]
133. wise(susan) [cnf transformation 22]
139. ~wise(susan) [cnf transformation 25]
144. 2 <=> wise(susan) [avatar definition]
2... | 0 |
If someone is either not funny or patient then lucy is generous and vice versa.
If fred is funny or humble then someone is either curious or creative and vice versa.
Everyone who is both strong and patient is not rich or not creative.
If john is kind then fred is not humble or generous and vice versa.
If someone is bot... | Lucy is not calm. | neutral | ((?[X]:((~funny(X)<~>patient(X))))<=>(generous(lucy)))&
(((funny(fred)|humble(fred)))<=>(?[X]:((curious(X)<~>creative(X)))))&
(![X]:((strong(X)&patient(X))=>(~rich(X)|~creative(X))))&
((kind(john))<=>((~humble(fred)|generous(fred))))&
((?[X]:((tall(X)&~patient(X))))=>((~creative(fred)|~calm(fred))))&
((?[X]:((tall(X)&f... | ~calm(lucy) | [] | null | 0 |
Everyone who is both not creative and not happy is not curious and vice versa.
If someone is patient then susan is either creative or not happy.
Everyone who is rich is either not happy or strong and vice versa.
Everyone who is either not old or generous is curious or not tall and vice versa.
Everyone who is either not... | Fred is generous. | entailment | (![X]:((~creative(X)&~happy(X))<=>~curious(X)))&
((?[X]:(patient(X)))=>((creative(susan)<~>~happy(susan))))&
(![X]:(rich(X)<=>(~happy(X)<~>strong(X))))&
(![X]:((~old(X)<~>generous(X))<=>(curious(X)|~tall(X))))&
(![X]:((~curious(X)<~>strong(X))=>(brave(X)&humble(X))))&
(![X]:((patient(X)|humble(X))=>(~old(X)&~generous(X... | generous(fred) | [
"p0",
"p3",
"p4",
"p5",
"p7",
"p11",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2160671062471561563647466
% SZS output start Proof for 2160671062471561563647466
1. ! [X0] : ((~happy(X0) & ~creative(X0)) <=> ~curious(X0)) [input p0]
4. ! [X0] : ((~old(X0) <~> generous(X0)) <=> (~tall(X0) | curious(X0))) [input p3]
5. ! [X0] : ((~curious(X0) <~> strong(X0)) => (humble(... | 0 |
Everyone who is not kind is both creative and not humble.
If paul is either funny or generous then mary is not wise or creative.
If paul is both not happy and not calm then someone is not calm.
If someone is brave then john is not rich.
Everyone who is either generous or not quiet is both not generous and wise.
If john... | Paul is not brave. | entailment | (![X]:(~kind(X)=>(creative(X)&~humble(X))))&
(((funny(paul)<~>generous(paul)))=>((~wise(mary)|creative(mary))))&
(((~happy(paul)&~calm(paul)))=>(?[X]:(~calm(X))))&
((?[X]:(brave(X)))=>(~rich(john)))&
(![X]:((generous(X)<~>~quiet(X))=>(~generous(X)&wise(X))))&
(((wise(john)<~>creative(john)))=>((wise(john)<~>funny(john)... | ~brave(paul) | [
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8904337940474173572895949
% SZS output start Proof for 8904337940474173572895949
7. ! [X0] : ((~old(X0) | ~wise(X0)) <=> ~brave(X0)) [input p6]
8. ! [X0] : ((~kind(X0) <~> wise(X0)) <=> (old(X0) | ~calm(X0))) [input p7]
9. ! [X0] : ((~curious(X0) & ~creative(X0)) <=> (kind(X0) | ~happy(X0... | 0 |
If someone is old then lucy is either tall or humble.
Everyone who is either humble or not old is not calm or not patient.
Everyone who is both not rich and old is either tall or not happy and vice versa.
If fred is wise then someone is brave and vice versa.
Everyone who is happy or not quiet is both not humble and not... | Lucy is tall. | contradiction | ((?[X]:(old(X)))=>((tall(lucy)<~>humble(lucy))))&
(![X]:((humble(X)<~>~old(X))=>(~calm(X)|~patient(X))))&
(![X]:((~rich(X)&old(X))<=>(tall(X)<~>~happy(X))))&
((wise(fred))<=>(?[X]:(brave(X))))&
(![X]:((happy(X)|~quiet(X))=>(~humble(X)&~tall(X))))&
(![X]:(~rich(X)<=>(funny(X)<~>~patient(X))))&
(![X]:((humble(X)|quiet(X)... | tall(lucy) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3419279313039520202593156
% SZS output start Proof for 3419279313039520202593156
5. ! [X0] : ((~quiet(X0) | happy(X0)) => (~tall(X0) & ~humble(X0))) [input p4]
9. ! [X0] : ((~patient(X0) <~> ~happy(X0)) <=> (~patient(X0) <~> ~tall(X0))) [input p8]
21. tall(lucy) [input hypothesis]
26. ! [... | 0 |
Everyone who is not humble is calm. If someone is not brave or not creative then mary is happy. If someone is not calm then fred is not creative or funny. Everyone who is kind or generous is patient or creative and vice versa. Everyone who is both happy and not strong is not brave and vice versa. Everyone who is not ta... | Paul is strong. | contradiction | (![X]:(~humble(X)=>calm(X)))&
((?[X]:((~brave(X)|~creative(X))))=>(happy(mary)))&
((?[X]:(~calm(X)))=>((~creative(fred)|funny(fred))))&
(![X]:((kind(X)|generous(X))<=>(patient(X)|creative(X))))&
(![X]:((happy(X)&~strong(X))<=>~brave(X)))&
(![X]:((~tall(X)|quiet(X))<=>(~calm(X)<~>humble(X))))&
((?[X]:((old(X)&quiet(X)))... | strong(paul) | [
"p4",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9139434504052423585914909
% SZS output start Proof for 9139434504052423585914909
5. ! [X0] : ((~strong(X0) & happy(X0)) <=> ~brave(X0)) [input p4]
13. ! [X0] : ((~curious(X0) | ~patient(X0)) => ~brave(X0)) [input p12]
19. ~curious(paul) & ~calm(paul) [input p18]
25. strong(paul) [input hy... | 0 |
Everyone who is either generous or not strong is both generous and not generous and vice versa.
If john is both quiet and calm then alice is both curious and humble.
Everyone who is either not quiet or not calm is either rich or strong and vice versa.
Everyone who is not strong or not generous is not quiet and vice ver... | Fred is quiet. | contradiction | (![X]:((generous(X)<~>~strong(X))<=>(generous(X)&~generous(X))))&
(((quiet(john)&calm(john)))=>((curious(alice)&humble(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(rich(X)<~>strong(X))))&
(![X]:((~strong(X)|~generous(X))<=>~quiet(X)))&
(![X]:((~patient(X)|brave(X))=>(happy(X)|funny(X))))&
(![X]:((~rich(X)|brave(X))=>(~c... | quiet(fred) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 626323362180122500170136
% SZS output start Proof for 626323362180122500170136
1. ! [X0] : ((generous(X0) <~> ~strong(X0)) <=> (~generous(X0) & generous(X0))) [input p0]
4. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> ~quiet(X0)) [input p3]
24. quiet(fred) [input hypothesis]
40. ! [X0] : (... | 0 |
Everyone who is humble is both calm and wise and vice versa. Everyone who is both not tall and not strong is either not wise or not strong and vice versa. Everyone who is both old and creative is either strong or not wise and vice versa. If paul is not brave then alice is brave and vice versa. If mary is creative or no... | Mary is calm. | entailment | (![X]:(humble(X)<=>(calm(X)&wise(X))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((creative(X)<~>~funny(X))<=>brave(X)))&
(((~kind(lucy)&~hum... | calm(mary) | [
"p0",
"p1",
"p2",
"p7",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 573156495217565602179396
% SZS output start Proof for 573156495217565602179396
1. ! [X0] : (humble(X0) <=> (wise(X0) & calm(X0))) [input p0]
2. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p1]
3. ! [X0] : ((creative(X0) & old(X0)) <=> (strong(X0) <~> ~wise(X... | 0 |
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vice versa.
If someone is both curious and wise then mary is either hap... | Alice is not kind. | contradiction | (((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&
(((calm(paul)|wise(paul)))<=>(?[X]:(~funny(X))))&
(![X]:... | ~kind(alice) | [
"p2",
"p6",
"p7",
"p8",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9168075760289195697217458
% SZS output start Proof for 9168075760289195697217458
3. ! [X0] : (~funny(X0) <=> (calm(X0) | funny(X0))) [input p2]
7. ! [X0] : ((~patient(X0) <~> wise(X0)) => (kind(X0) & ~old(X0))) [input p6]
8. ! [X0] : ((~creative(X0) & ~funny(X0)) <=> happy(X0)) [input p7]... | 0 |
If someone is not funny then someone is both not funny and not strong and vice versa.
If someone is either wise or generous then someone is either not tall or not humble.
Everyone who is both not curious and not old is not creative or humble and vice versa.
Everyone who is not strong is tall and vice versa.
If susan is... | Alice is brave. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~funny(X)&~strong(X)))))&
((?[X]:((wise(X)<~>generous(X))))=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((~curious(X)&~old(X))<=>(~creative(X)|humble(X))))&
(![X]:(~strong(X)<=>tall(X)))&
((generous(susan))<=>(wise(susan)))&
(((patient(john)&humble(john)))<=>(?[X]:((~strong(X)<~>funny(X)))))... | brave(alice) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6524969006900674219895821
% SZS output start Proof for 6524969006900674219895821
7. ! [X0] : ((~wise(X0) | ~humble(X0)) => (~tall(X0) & humble(X0))) [input p6]
11. ! [X0] : ((~humble(X0) | humble(X0)) <=> (~strong(X0) & ~brave(X0))) [input p10]
20. brave(alice) [input hypothesis]
26. ! [X... | 0 |
If someone is both old and not tall then someone is not patient and vice versa.
Everyone who is funny or calm is both quiet and old.
If mary is not wise or generous then someone is either quiet or not humble.
Everyone who is humble or quiet is not strong or not patient and vice versa.
If someone is brave or quiet then ... | Fred is kind. | contradiction | ((?[X]:((old(X)&~tall(X))))<=>(?[X]:(~patient(X))))&
(![X]:((funny(X)|calm(X))=>(quiet(X)&old(X))))&
(((~wise(mary)|generous(mary)))=>(?[X]:((quiet(X)<~>~humble(X)))))&
(![X]:((humble(X)|quiet(X))<=>(~strong(X)|~patient(X))))&
((?[X]:((brave(X)|quiet(X))))<=>((~old(alice)|happy(alice))))&
(((wise(john)&happy(john)))<=>... | kind(fred) | [
"p0",
"p3",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1262342956924343625920283
% SZS output start Proof for 1262342956924343625920283
1. ? [X0] : (~tall(X0) & old(X0)) <=> ? [X0] : ~patient(X0) [input p0]
4. ! [X0] : ((quiet(X0) | humble(X0)) <=> (~patient(X0) | ~strong(X0))) [input p3]
10. ! [X0] : (~tall(X0) <=> (old(X0) & strong(X0))) [i... | 0 |
If fred is both kind and not calm then paul is both funny and strong.
Everyone who is both not happy and not curious is both rich and not patient.
Everyone who is humble or not tall is brave or not patient and vice versa.
Everyone who is old or not old is either strong or not humble and vice versa.
If someone is both c... | Alice is not brave. | contradiction | (((kind(fred)&~calm(fred)))=>((funny(paul)&strong(paul))))&
(![X]:((~happy(X)&~curious(X))=>(rich(X)&~patient(X))))&
(![X]:((humble(X)|~tall(X))<=>(brave(X)|~patient(X))))&
(![X]:((old(X)|~old(X))<=>(strong(X)<~>~humble(X))))&
((?[X]:((calm(X)&generous(X))))<=>((~wise(john)<~>generous(john))))&
((?[X]:((~kind(X)|kind(X... | ~brave(alice) | [
"p3",
"p6",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3094095838338533800742071
% SZS output start Proof for 3094095838338533800742071
4. ! [X0] : ((~old(X0) | old(X0)) <=> (strong(X0) <~> ~humble(X0))) [input p3]
7. ! [X0] : ((~old(X0) | ~brave(X0)) => (humble(X0) & ~generous(X0))) [input p6]
10. ? [X0] : (~strong(X0) <~> ~generous(X0)) <=>... | 0 |
If someone is not calm then lucy is both tall and old. If paul is kind or old then someone is happy or generous. Everyone who is not happy or humble is not wise or funny and vice versa. Everyone who is either not old or kind is either not calm or generous and vice versa. If fred is both not quiet and rich then mary is ... | John is kind. | neutral | ((?[X]:(~calm(X)))=>((tall(lucy)&old(lucy))))&
(((kind(paul)|old(paul)))=>(?[X]:((happy(X)|generous(X)))))&
(![X]:((~happy(X)|humble(X))<=>(~wise(X)|funny(X))))&
(![X]:((~old(X)<~>kind(X))<=>(~calm(X)<~>generous(X))))&
(((~quiet(fred)&rich(fred)))=>((tall(mary)&creative(mary))))&
(![X]:(creative(X)<=>calm(X)))&
(![X]:(... | kind(john) | [] | null | 0 |
Everyone who is not humble or not funny is both strong and brave and vice versa. If someone is strong or not tall then fred is either rich or not curious. Everyone who is both funny and not patient is either kind or not creative. If alice is both funny and not generous then lucy is brave. Everyone who is either humble ... | Paul is calm. | neutral | (![X]:((~humble(X)|~funny(X))<=>(strong(X)&brave(X))))&
((?[X]:((strong(X)|~tall(X))))=>((rich(fred)<~>~curious(fred))))&
(![X]:((funny(X)&~patient(X))=>(kind(X)<~>~creative(X))))&
(((funny(alice)&~generous(alice)))=>(brave(lucy)))&
(![X]:((humble(X)<~>~old(X))<=>(wise(X)&~strong(X))))&
(![X]:((~calm(X)|~rich(X))<=>~ol... | calm(paul) | [] | null | 0 |
Everyone who is either not kind or humble is both strong and tall and vice versa. Everyone who is both not strong and not patient is not funny and vice versa. If john is not curious then lucy is not creative and vice versa. Everyone who is either not tall or not rich is both strong and not kind. Everyone who is not hum... | Susan is old. | neutral | (![X]:((~kind(X)<~>humble(X))<=>(strong(X)&tall(X))))&
(![X]:((~strong(X)&~patient(X))<=>~funny(X)))&
((~curious(john))<=>(~creative(lucy)))&
(![X]:((~tall(X)<~>~rich(X))=>(strong(X)&~kind(X))))&
(![X]:((~humble(X)|~quiet(X))<=>~happy(X)))&
((?[X]:((~tall(X)|quiet(X))))=>(?[X]:(~calm(X))))&
((happy(john))=>((calm(fred)... | old(susan) | [] | null | 0 |
Everyone who is not creative or not wise is both curious and quiet and vice versa. Everyone who is both not brave and not generous is not rich or wise. Everyone who is both patient and brave is not creative or not quiet. If someone is either not wise or humble then alice is both curious and happy and vice versa. If som... | John is not kind. | neutral | (![X]:((~creative(X)|~wise(X))<=>(curious(X)&quiet(X))))&
(![X]:((~brave(X)&~generous(X))=>(~rich(X)|wise(X))))&
(![X]:((patient(X)&brave(X))=>(~creative(X)|~quiet(X))))&
((?[X]:((~wise(X)<~>humble(X))))<=>((curious(alice)&happy(alice))))&
((?[X]:((~generous(X)<~>generous(X))))<=>(?[X]:((tall(X)|~old(X)))))&
(((old(fre... | ~kind(john) | [] | null | 0 |
If lucy is either rich or wise then alice is not creative and vice versa.
If alice is not kind then paul is either not calm or funny.
Everyone who is tall is both not generous and not calm and vice versa.
Everyone who is either strong or not curious is both humble and not old and vice versa.
Everyone who is not quiet i... | Susan is not creative. | entailment | (((rich(lucy)<~>wise(lucy)))<=>(~creative(alice)))&
((~kind(alice))=>((~calm(paul)<~>funny(paul))))&
(![X]:(tall(X)<=>(~generous(X)&~calm(X))))&
(![X]:((strong(X)<~>~curious(X))<=>(humble(X)&~old(X))))&
(![X]:(~quiet(X)=>~brave(X)))&
(((~brave(paul)&curious(paul)))<=>(?[X]:((patient(X)|creative(X)))))&
(![X]:((patient(... | ~creative(susan) | [
"p2",
"p5",
"p7",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3100102806620438390998657
% SZS output start Proof for 3100102806620438390998657
3. ! [X0] : (tall(X0) <=> (~calm(X0) & ~generous(X0))) [input p2]
6. (curious(paul) & ~brave(paul)) <=> ? [X0] : (creative(X0) | patient(X0)) [input p5]
8. ! [X0] : ((happy(X0) | patient(X0)) => brave(X0)) [i... | 0 |
If mary is not funny then someone is not rich or not strong and vice versa. Everyone who is quiet or generous is both not wise and generous. Everyone who is funny or not quiet is either wise or not old and vice versa. If someone is generous or not tall then lucy is not quiet. Everyone who is not brave is both not funny... | Alice is not happy. | entailment | ((~funny(mary))<=>(?[X]:((~rich(X)|~strong(X)))))&
(![X]:((quiet(X)|generous(X))=>(~wise(X)&generous(X))))&
(![X]:((funny(X)|~quiet(X))<=>(wise(X)<~>~old(X))))&
((?[X]:((generous(X)|~tall(X))))=>(~quiet(lucy)))&
(![X]:(~brave(X)<=>(~funny(X)&~generous(X))))&
(![X]:(creative(X)<=>(~curious(X)&curious(X))))&
((?[X]:(tall... | ~happy(alice) | [
"p4",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1834389950280672044331039
% SZS output start Proof for 1834389950280672044331039
5. ! [X0] : (~brave(X0) <=> (~generous(X0) & ~funny(X0))) [input p4]
11. ! [X0] : ((~generous(X0) | ~humble(X0)) <=> ~brave(X0)) [input p10]
12. ! [X0] : ((~creative(X0) & ~humble(X0)) <=> (rich(X0) | happy(X... | 0 |
Everyone who is either kind or happy is not kind or calm and vice versa.
Everyone who is both patient and funny is either not creative or not generous.
If someone is both quiet and funny then someone is not strong.
If alice is both not calm and not curious then john is creative.
If someone is generous then someone is b... | Fred is not strong. | contradiction | (![X]:((kind(X)<~>happy(X))<=>(~kind(X)|calm(X))))&
(![X]:((patient(X)&funny(X))=>(~creative(X)<~>~generous(X))))&
((?[X]:((quiet(X)&funny(X))))=>(?[X]:(~strong(X))))&
(((~calm(alice)&~curious(alice)))=>(creative(john)))&
((?[X]:(generous(X)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((tall(X)|~generous(X))=>(strong(X)&... | ~strong(fred) | [
"p0",
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7249117409135099570846275
% SZS output start Proof for 7249117409135099570846275
1. ! [X0] : ((kind(X0) <~> happy(X0)) <=> (calm(X0) | ~kind(X0))) [input p0]
6. ! [X0] : ((~generous(X0) | tall(X0)) => (~happy(X0) & strong(X0))) [input p5]
13. ! [X0] : ((~wise(X0) | ~kind(X0)) => (tall(X0)... | 0 |
If someone is either calm or kind then susan is not kind or brave and vice versa.
If paul is curious or old then paul is tall or not generous.
If alice is both not wise and calm then alice is either not tall or not quiet and vice versa.
Everyone who is both not rich and generous is both not old and not brave and vice v... | Paul is not patient. | neutral | ((?[X]:((calm(X)<~>kind(X))))<=>((~kind(susan)|brave(susan))))&
(((curious(paul)|old(paul)))=>((tall(paul)|~generous(paul))))&
(((~wise(alice)&calm(alice)))<=>((~tall(alice)<~>~quiet(alice))))&
(![X]:((~rich(X)&generous(X))<=>(~old(X)&~brave(X))))&
(((~rich(lucy)|tall(lucy)))=>((creative(fred)&~tall(fred))))&
(((~humbl... | ~patient(paul) | [] | null | 0 |
Everyone who is not patient or wise is both funny and tall. If someone is happy then mary is not generous or funny. If someone is funny then mary is either brave or not curious. Everyone who is not old is not patient. If someone is both not quiet and quiet then mary is happy. If someone is either not brave or not curio... | Paul is not funny. | contradiction | (![X]:((~patient(X)|wise(X))=>(funny(X)&tall(X))))&
((?[X]:(happy(X)))=>((~generous(mary)|funny(mary))))&
((?[X]:(funny(X)))=>((brave(mary)<~>~curious(mary))))&
(![X]:(~old(X)=>~patient(X)))&
((?[X]:((~quiet(X)&quiet(X))))=>(happy(mary)))&
((?[X]:((~brave(X)<~>~curious(X))))<=>((~funny(fred)&strong(fred))))&
((?[X]:((o... | ~funny(paul) | [
"p0",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3614878315904673063800841
% SZS output start Proof for 3614878315904673063800841
1. ! [X0] : ((wise(X0) | ~patient(X0)) => (tall(X0) & funny(X0))) [input p0]
10. ! [X0] : (~wise(X0) => ~strong(X0)) [input p9]
23. strong(paul) [input p22]
24. ~funny(paul) [input hypothesis]
30. ! [X0] : ((... | 0 |
Everyone who is either kind or not humble is wise or happy and vice versa. Everyone who is not old is not calm or happy. Everyone who is both curious and not brave is either not funny or not strong and vice versa. Everyone who is not calm or not generous is either not strong or not patient. If someone is either not old... | Alice is not generous. | contradiction | (![X]:((kind(X)<~>~humble(X))<=>(wise(X)|happy(X))))&
(![X]:(~old(X)=>(~calm(X)|happy(X))))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(X)<~>creative(X))=>(~... | ~generous(alice) | [
"p11",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6336316940532380961893515
% SZS output start Proof for 6336316940532380961893515
12. ! [X0] : ((~brave(X0) | ~quiet(X0)) => (creative(X0) & ~wise(X0))) [input p11]
13. ! [X0] : (~quiet(X0) <=> (~brave(X0) | ~generous(X0))) [input p12]
14. ! [X0] : ((humble(X0) & strong(X0)) <=> (humble(X0... | 0 |
If lucy is either quiet or not generous then someone is not curious or patient and vice versa.
Everyone who is either rich or creative is both creative and not calm.
Everyone who is both not strong and not happy is humble and vice versa.
Everyone who is both not generous and not funny is curious and vice versa.
If some... | Paul is humble. | entailment | (((quiet(lucy)<~>~generous(lucy)))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((rich(X)<~>creative(X))=>(creative(X)&~calm(X))))&
(![X]:((~strong(X)&~happy(X))<=>humble(X)))&
(![X]:((~generous(X)&~funny(X))<=>curious(X)))&
((?[X]:(~creative(X)))=>(?[X]:(wise(X))))&
((?[X]:((~kind(X)|~humble(X))))=>((~brave(alice)&brav... | humble(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6545524425375737030934160
% SZS output start Proof for 6545524425375737030934160
6. ? [X0] : (~humble(X0) | ~kind(X0)) => (brave(alice) & ~brave(alice)) [input p5]
22. ~humble(paul) [input hypothesis]
26. (brave(alice) & ~brave(alice)) | ! [X0] : (humble(X0) & kind(X0)) [ennf transformati... | 0 |
If john is not strong then john is not curious and vice versa.
If someone is either happy or not quiet then fred is both funny and tall.
Everyone who is both curious and not strong is either happy or funny.
Everyone who is either not kind or humble is either not old or not funny.
Everyone who is not calm is not strong.... | Susan is not funny. | entailment | ((~strong(john))<=>(~curious(john)))&
((?[X]:((happy(X)<~>~quiet(X))))=>((funny(fred)&tall(fred))))&
(![X]:((curious(X)&~strong(X))=>(happy(X)<~>funny(X))))&
(![X]:((~kind(X)<~>humble(X))=>(~old(X)<~>~funny(X))))&
(![X]:(~calm(X)=>~strong(X)))&
(((creative(paul)&~generous(paul)))<=>(?[X]:((happy(X)&rich(X)))))&
(![X]:(... | ~funny(susan) | [
"p6",
"p12",
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 713999092570432342544007
% SZS output start Proof for 713999092570432342544007
7. ! [X0] : (~calm(X0) <=> (curious(X0) & ~strong(X0))) [input p6]
13. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (generous(X0) <~> ~curious(X0))) [input p12]
16. ! [X0] : ((~funny(X0) & brave(X0)) <=> (~generous... | 0 |
Everyone who is not kind is not patient or funny and vice versa.
If someone is not funny or not rich then someone is not rich and vice versa.
Everyone who is not strong or not quiet is either not funny or not calm and vice versa.
Everyone who is not strong is both creative and not creative and vice versa.
Everyone who ... | Paul is not calm. | neutral | (![X]:(~kind(X)<=>(~patient(X)|funny(X))))&
((?[X]:((~funny(X)|~rich(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~strong(X)|~quiet(X))<=>(~funny(X)<~>~calm(X))))&
(![X]:(~strong(X)<=>(creative(X)&~creative(X))))&
(![X]:((curious(X)<~>~curious(X))<=>(~patient(X)&~old(X))))&
(![X]:(~rich(X)<=>(strong(X)|generous(X))))&
(![X]:(~t... | ~calm(paul) | [] | null | 0 |
Everyone who is not quiet is rich or not quiet.
If fred is not curious or not strong then someone is either wise or not generous.
Everyone who is not happy or not brave is rich or creative and vice versa.
Everyone who is either not rich or not tall is not generous or creative.
If someone is not rich then someone is bot... | Mary is humble. | neutral | (![X]:(~quiet(X)=>(rich(X)|~quiet(X))))&
(((~curious(fred)|~strong(fred)))=>(?[X]:((wise(X)<~>~generous(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(rich(X)|creative(X))))&
(![X]:((~rich(X)<~>~tall(X))=>(~generous(X)|creative(X))))&
((?[X]:(~rich(X)))=>(?[X]:((kind(X)&~generous(X)))))&
(![X]:((~creative(X)<~>wise(X))<=>old(... | humble(mary) | [] | null | 0 |
Everyone who is both not wise and kind is both brave and not strong.
Everyone who is both not old and quiet is not quiet or happy and vice versa.
Everyone who is tall is not tall.
Everyone who is both not brave and tall is not happy or not humble and vice versa.
Everyone who is not old is generous.
If fred is either ol... | Mary is strong. | neutral | (![X]:((~wise(X)&kind(X))=>(brave(X)&~strong(X))))&
(![X]:((~old(X)&quiet(X))<=>(~quiet(X)|happy(X))))&
(![X]:(tall(X)=>~tall(X)))&
(![X]:((~brave(X)&tall(X))<=>(~happy(X)|~humble(X))))&
(![X]:(~old(X)=>generous(X)))&
(((old(fred)<~>~calm(fred)))=>((~tall(mary)<~>happy(mary))))&
(![X]:((humble(X)&funny(X))=>(creative(X... | strong(mary) | [] | null | 0 |
Everyone who is both not tall and old is not generous.
If fred is happy or not humble then someone is quiet and vice versa.
If someone is not tall then someone is both not quiet and not patient.
Everyone who is either not curious or not creative is old or tall and vice versa.
If mary is either wise or not patient then ... | Lucy is old. | neutral | (![X]:((~tall(X)&old(X))=>~generous(X)))&
(((happy(fred)|~humble(fred)))<=>(?[X]:(quiet(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~quiet(X)&~patient(X)))))&
(![X]:((~curious(X)<~>~creative(X))<=>(old(X)|tall(X))))&
(((wise(mary)<~>~patient(mary)))<=>((old(john)<~>~old(john))))&
(![X]:((~funny(X)|~wise(X))<=>(curious(X)|~wise(... | old(lucy) | [] | null | 0 |
If someone is either quiet or not quiet then lucy is both generous and not tall.
Everyone who is not humble or humble is both not strong and not funny and vice versa.
If someone is not tall or not happy then someone is brave.
If john is either not tall or not rich then mary is tall or curious.
If paul is not old or not... | Alice is strong. | contradiction | ((?[X]:((quiet(X)<~>~quiet(X))))=>((generous(lucy)&~tall(lucy))))&
(![X]:((~humble(X)|humble(X))<=>(~strong(X)&~funny(X))))&
((?[X]:((~tall(X)|~happy(X))))=>(?[X]:(brave(X))))&
(((~tall(john)<~>~rich(john)))=>((tall(mary)|curious(mary))))&
(((~old(paul)|~strong(paul)))=>(?[X]:((~patient(X)&curious(X)))))&
((?[X]:(~curi... | strong(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7400979655191901013458787
% SZS output start Proof for 7400979655191901013458787
2. ! [X0] : ((humble(X0) | ~humble(X0)) <=> (~funny(X0) & ~strong(X0))) [input p1]
22. strong(alice) [input hypothesis]
37. ! [X0] : (((humble(X0) | ~humble(X0)) | (funny(X0) | strong(X0))) & ((~funny(X0) & ~... | 0 |
Everyone who is either generous or not brave is happy or not generous and vice versa.
Everyone who is both rich and not generous is either patient or not strong and vice versa.
Everyone who is either not tall or funny is kind.
If mary is either not curious or not funny then alice is old or curious.
If someone is tall t... | Mary is not curious. | neutral | (![X]:((generous(X)<~>~brave(X))<=>(happy(X)|~generous(X))))&
(![X]:((rich(X)&~generous(X))<=>(patient(X)<~>~strong(X))))&
(![X]:((~tall(X)<~>funny(X))=>kind(X)))&
(((~curious(mary)<~>~funny(mary)))=>((old(alice)|curious(alice))))&
((?[X]:(tall(X)))<=>(?[X]:(~patient(X))))&
(![X]:((old(X)<~>wise(X))<=>(patient(X)&kind(... | ~curious(mary) | [] | null | 0 |
If mary is brave then someone is either not kind or creative.
If fred is either not rich or old then paul is either not calm or not kind.
Everyone who is humble is curious or tall and vice versa.
Everyone who is strong is not curious and vice versa.
If john is both not funny and funny then someone is generous.
Everyone... | Paul is not patient. | contradiction | ((brave(mary))=>(?[X]:((~kind(X)<~>creative(X)))))&
(((~rich(fred)<~>old(fred)))=>((~calm(paul)<~>~kind(paul))))&
(![X]:(humble(X)<=>(curious(X)|tall(X))))&
(![X]:(strong(X)<=>~curious(X)))&
(((~funny(john)&funny(john)))=>(?[X]:(generous(X))))&
(![X]:((~wise(X)|funny(X))<=>(~brave(X)|humble(X))))&
(![X]:((curious(X)&~p... | ~patient(paul) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8135417778519957726699172
% SZS output start Proof for 8135417778519957726699172
8. ! [X0] : ((kind(X0) & creative(X0)) <=> ~patient(X0)) [input p7]
18. ~patient(paul) <~> creative(paul) [input p17]
24. ~patient(paul) [input hypothesis]
49. ! [X0] : (((kind(X0) & creative(X0)) | patient(X... | 0 |
Everyone who is both wise and not humble is not old or brave and vice versa.
If someone is not creative then someone is either not patient or humble and vice versa.
If paul is not humble then someone is not funny or rich and vice versa.
Everyone who is curious or not happy is not kind or not brave.
If someone is both o... | Paul is generous. | entailment | (![X]:((wise(X)&~humble(X))<=>(~old(X)|brave(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~patient(X)<~>humble(X)))))&
((~humble(paul))<=>(?[X]:((~funny(X)|rich(X)))))&
(![X]:((curious(X)|~happy(X))=>(~kind(X)|~brave(X))))&
((?[X]:((old(X)&~generous(X))))=>((~old(susan)&funny(susan))))&
(((~rich(fred)<~>~old(fred)))<=>(?[X]... | generous(paul) | [
"p0",
"p4",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 300553266119808912997973
% SZS output start Proof for 300553266119808912997973
1. ! [X0] : ((~humble(X0) & wise(X0)) <=> (brave(X0) | ~old(X0))) [input p0]
5. ? [X0] : (~generous(X0) & old(X0)) => (funny(susan) & ~old(susan)) [input p4]
12. ! [X0] : ((humble(X0) & calm(X0)) <=> (wise(X0) ... | 0 |
Everyone who is either not quiet or not patient is either wise or calm and vice versa.
Everyone who is both humble and not brave is wise.
Everyone who is not generous is either wise or generous.
If someone is either humble or not tall then someone is either not patient or funny and vice versa.
If someone is kind or not... | Mary is kind. | entailment | (![X]:((~quiet(X)<~>~patient(X))<=>(wise(X)<~>calm(X))))&
(![X]:((humble(X)&~brave(X))=>wise(X)))&
(![X]:(~generous(X)=>(wise(X)<~>generous(X))))&
((?[X]:((humble(X)<~>~tall(X))))<=>(?[X]:((~patient(X)<~>funny(X)))))&
((?[X]:((kind(X)|~strong(X))))=>(?[X]:((~wise(X)<~>~humble(X)))))&
((?[X]:(tall(X)))=>(?[X]:((generous... | kind(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4864882336117532458583572
% SZS output start Proof for 4864882336117532458583572
16. ! [X0] : (~kind(X0) <=> (kind(X0) & ~calm(X0))) [input p15]
24. ~kind(mary) [input hypothesis]
72. ! [X0] : ((~kind(X0) | (~kind(X0) | calm(X0))) & ((kind(X0) & ~calm(X0)) | kind(X0))) [nnf transformation... | 0 |
If someone is either curious or not quiet then lucy is not humble. If someone is either not patient or not rich then mary is both old and not humble. Everyone who is either wise or not generous is either tall or not patient and vice versa. If lucy is old then someone is both not quiet and rich. Everyone who is calm or ... | Lucy is not quiet. | contradiction | ((?[X]:((curious(X)<~>~quiet(X))))=>(~humble(lucy)))&
((?[X]:((~patient(X)<~>~rich(X))))=>((old(mary)&~humble(mary))))&
(![X]:((wise(X)<~>~generous(X))<=>(tall(X)<~>~patient(X))))&
((old(lucy))=>(?[X]:((~quiet(X)&rich(X)))))&
(![X]:((calm(X)|wise(X))<=>kind(X)))&
(![X]:((~tall(X)<~>~kind(X))=>(~funny(X)|~rich(X))))&
((... | ~quiet(lucy) | [
"p4",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 455080357435879007426670
% SZS output start Proof for 455080357435879007426670
5. ! [X0] : ((wise(X0) | calm(X0)) <=> kind(X0)) [input p4]
10. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p9]
16. ! [X0] : ((~calm(X0) | kind(X0)) <=> quiet(X0)) [input p15]
2... | 0 |
If john is both not happy and not curious then fred is either not brave or old and vice versa.
If someone is not generous or curious then paul is not curious.
If someone is both not generous and not rich then fred is not humble or patient and vice versa.
If susan is both not kind and not quiet then alice is either not ... | John is not kind. | neutral | (((~happy(john)&~curious(john)))<=>((~brave(fred)<~>old(fred))))&
((?[X]:((~generous(X)|curious(X))))=>(~curious(paul)))&
((?[X]:((~generous(X)&~rich(X))))<=>((~humble(fred)|patient(fred))))&
(((~kind(susan)&~quiet(susan)))=>((~rich(alice)<~>tall(alice))))&
(![X]:((happy(X)&~tall(X))=>(strong(X)&~creative(X))))&
((?[X]... | ~kind(john) | [] | null | 0 |
If paul is either happy or rich then someone is kind or wise. If susan is not kind then someone is either brave or not old and vice versa. If paul is curious then susan is both generous and not creative and vice versa. If someone is both not humble and not rich then susan is not curious. If someone is either strong or ... | Lucy is patient. | contradiction | (((happy(paul)<~>rich(paul)))=>(?[X]:((kind(X)|wise(X)))))&
((~kind(susan))<=>(?[X]:((brave(X)<~>~old(X)))))&
((curious(paul))<=>((generous(susan)&~creative(susan))))&
((?[X]:((~humble(X)&~rich(X))))=>(~curious(susan)))&
((?[X]:((strong(X)<~>happy(X))))<=>(?[X]:((generous(X)&curious(X)))))&
(((rich(mary)&~quiet(mary)))... | patient(lucy) | [
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4379295338216960944860617
% SZS output start Proof for 4379295338216960944860617
12. ? [X0] : strong(X0) => ? [X0] : (~wise(X0) & wise(X0)) [input p11]
15. ! [X0] : ((patient(X0) & ~strong(X0)) => (~quiet(X0) & ~patient(X0))) [input p14]
24. patient(lucy) [input hypothesis]
26. ? [X0] : s... | 0 |
Everyone who is either curious or quiet is generous and vice versa. If someone is both not creative and brave then mary is patient. If lucy is either not old or kind then susan is both not rich and humble and vice versa. Everyone who is happy is not funny and vice versa. Everyone who is both strong and curious is both ... | Alice is not generous. | entailment | (![X]:((curious(X)<~>quiet(X))<=>generous(X)))&
((?[X]:((~creative(X)&brave(X))))=>(patient(mary)))&
(((~old(lucy)<~>kind(lucy)))<=>((~rich(susan)&humble(susan))))&
(![X]:(happy(X)<=>~funny(X)))&
(![X]:((strong(X)&curious(X))=>(calm(X)&~wise(X))))&
(((generous(alice)<~>~rich(alice)))<=>((~curious(susan)|patient(susan))... | ~generous(alice) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8074365335817811535634469
% SZS output start Proof for 8074365335817811535634469
1. ! [X0] : ((curious(X0) <~> quiet(X0)) <=> generous(X0)) [input p0]
11. ! [X0] : ((curious(X0) & quiet(X0)) <=> (humble(X0) | generous(X0))) [input p10]
21. generous(alice) [input hypothesis]
31. ! [X0] : (... | 0 |
Everyone who is not strong or patient is both not humble and rich.
If lucy is patient or funny then someone is either creative or not wise.
Everyone who is either not rich or not curious is both strong and old.
If someone is both tall and strong then someone is funny and vice versa.
Everyone who is both not calm and qu... | Fred is not creative. | contradiction | (![X]:((~strong(X)|patient(X))=>(~humble(X)&rich(X))))&
(((patient(lucy)|funny(lucy)))=>(?[X]:((creative(X)<~>~wise(X)))))&
(![X]:((~rich(X)<~>~curious(X))=>(strong(X)&old(X))))&
((?[X]:((tall(X)&strong(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)&quiet(X))=>(~calm(X)|kind(X))))&
((?[X]:((rich(X)<~>curious(X))))=>(?[X]... | ~creative(fred) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6866968281180763758800336
% SZS output start Proof for 6866968281180763758800336
9. ! [X0] : (patient(X0) => (patient(X0) & creative(X0))) [input p8]
19. patient(fred) & strong(fred) [input p18]
25. ~creative(fred) [input hypothesis]
38. ! [X0] : ((patient(X0) & creative(X0)) | ~patient(X... | 0 |
If someone is happy or not kind then susan is not funny or brave.
Everyone who is not calm is not creative or not patient.
Everyone who is not calm is strong.
Everyone who is either not brave or not quiet is old and vice versa.
If lucy is not curious then fred is either kind or not funny.
Everyone who is either not pat... | Susan is not humble. | entailment | ((?[X]:((happy(X)|~kind(X))))=>((~funny(susan)|brave(susan))))&
(![X]:(~calm(X)=>(~creative(X)|~patient(X))))&
(![X]:(~calm(X)=>strong(X)))&
(![X]:((~brave(X)<~>~quiet(X))<=>old(X)))&
((~curious(lucy))=>((kind(fred)<~>~funny(fred))))&
(![X]:((~patient(X)<~>~creative(X))<=>kind(X)))&
((?[X]:((~calm(X)&~humble(X))))<=>(?... | ~humble(susan) | [
"p2",
"p8",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5013807852332092709503476
% SZS output start Proof for 5013807852332092709503476
3. ! [X0] : (~calm(X0) => strong(X0)) [input p2]
9. ! [X0] : (~humble(X0) <=> (~brave(X0) | calm(X0))) [input p8]
16. ? [X0] : (~calm(X0) & strong(X0)) <=> ~calm(susan) [input p15]
17. ~strong(susan) [input p... | 0 |
If someone is either brave or not curious then someone is strong or curious.
If lucy is both old and rich then susan is not curious and vice versa.
If john is quiet or curious then mary is not quiet.
If paul is humble or strong then susan is either not quiet or tall and vice versa.
Everyone who is both wise and not pat... | Fred is kind. | entailment | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((strong(X)|curious(X)))))&
(((old(lucy)&rich(lucy)))<=>(~curious(susan)))&
(((quiet(john)|curious(john)))=>(~quiet(mary)))&
(((humble(paul)|strong(paul)))<=>((~quiet(susan)<~>tall(susan))))&
(![X]:((wise(X)&~patient(X))<=>(~funny(X)|strong(X))))&
(![X]:((~tall(X)<~>curious(X))... | kind(fred) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7119583533747903197770459
% SZS output start Proof for 7119583533747903197770459
14. ! [X0] : ((~old(X0) | ~brave(X0)) => (~generous(X0) & kind(X0))) [input p13]
17. ~old(fred) [input p16]
24. ~kind(fred) [input hypothesis]
32. ! [X0] : ((~generous(X0) & kind(X0)) | (old(X0) & brave(X0)))... | 0 |
Everyone who is both wise and happy is not humble and vice versa. Everyone who is either kind or not happy is creative or tall. If someone is generous or quiet then someone is not patient. Everyone who is both not rich and brave is both not brave and not rich and vice versa. Everyone who is not old is either not calm o... | Susan is not rich. | contradiction | (![X]:((wise(X)&happy(X))<=>~humble(X)))&
(![X]:((kind(X)<~>~happy(X))=>(creative(X)|tall(X))))&
((?[X]:((generous(X)|quiet(X))))=>(?[X]:(~patient(X))))&
(![X]:((~rich(X)&brave(X))<=>(~brave(X)&~rich(X))))&
(![X]:(~old(X)=>(~calm(X)<~>patient(X))))&
((quiet(fred))=>(?[X]:((~funny(X)|kind(X)))))&
(![X]:((calm(X)&~creati... | ~rich(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1912727154622786969807528
% SZS output start Proof for 1912727154622786969807528
4. ! [X0] : ((brave(X0) & ~rich(X0)) <=> (~rich(X0) & ~brave(X0))) [input p3]
25. ~rich(susan) [input hypothesis]
45. ! [X0] : (((brave(X0) & ~rich(X0)) | (rich(X0) | brave(X0))) & ((~rich(X0) & ~brave(X0)) |... | 0 |
Everyone who is either kind or curious is not strong or brave and vice versa.
If someone is patient then susan is tall.
Everyone who is not curious is rich and vice versa.
If someone is kind or not happy then john is either funny or not quiet and vice versa.
Everyone who is either not generous or not rich is not quiet ... | Alice is quiet. | entailment | (![X]:((kind(X)<~>curious(X))<=>(~strong(X)|brave(X))))&
((?[X]:(patient(X)))=>(tall(susan)))&
(![X]:(~curious(X)<=>rich(X)))&
((?[X]:((kind(X)|~happy(X))))<=>((funny(john)<~>~quiet(john))))&
(![X]:((~generous(X)<~>~rich(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((humble(X)|generous(X))<=>(~humble(X)|~funny(X))))&
((?[X]:((~... | quiet(alice) | [
"p2",
"p4",
"p5",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 659029517185082785915990
% SZS output start Proof for 659029517185082785915990
3. ! [X0] : (~curious(X0) <=> rich(X0)) [input p2]
5. ! [X0] : ((~generous(X0) <~> ~rich(X0)) <=> (~kind(X0) | ~quiet(X0))) [input p4]
6. ! [X0] : ((generous(X0) | humble(X0)) <=> (~funny(X0) | ~humble(X0))) [i... | 0 |
If mary is not humble then susan is both not humble and not rich. If someone is both not strong and strong then lucy is both old and not funny and vice versa. If someone is not strong or not kind then someone is curious or strong. Everyone who is kind or not happy is both quiet and not humble. If someone is both humble... | Susan is not quiet. | contradiction | ((~humble(mary))=>((~humble(susan)&~rich(susan))))&
((?[X]:((~strong(X)&strong(X))))<=>((old(lucy)&~funny(lucy))))&
((?[X]:((~strong(X)|~kind(X))))=>(?[X]:((curious(X)|strong(X)))))&
(![X]:((kind(X)|~happy(X))=>(quiet(X)&~humble(X))))&
((?[X]:((humble(X)&~happy(X))))<=>(?[X]:(happy(X))))&
(![X]:((kind(X)|rich(X))=>(~ha... | ~quiet(susan) | [
"p3",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1132082317520422315223340
% SZS output start Proof for 1132082317520422315223340
4. ! [X0] : ((~happy(X0) | kind(X0)) => (~humble(X0) & quiet(X0))) [input p3]
6. ! [X0] : ((rich(X0) | kind(X0)) => (patient(X0) & ~happy(X0))) [input p5]
15. ! [X0] : (happy(X0) => (rich(X0) & ~curious(X0)))... | 0 |
If mary is not humble or not kind then paul is either not patient or curious. Everyone who is calm or wise is either quiet or brave and vice versa. Everyone who is patient or not happy is either not happy or not kind. If someone is either not strong or old then susan is both not calm and not curious. If someone is not ... | Paul is not happy. | neutral | (((~humble(mary)|~kind(mary)))=>((~patient(paul)<~>curious(paul))))&
(![X]:((calm(X)|wise(X))<=>(quiet(X)<~>brave(X))))&
(![X]:((patient(X)|~happy(X))=>(~happy(X)<~>~kind(X))))&
((?[X]:((~strong(X)<~>old(X))))=>((~calm(susan)&~curious(susan))))&
((?[X]:(~quiet(X)))<=>((~happy(alice)&~wise(alice))))&
(![X]:((~calm(X)&~c... | ~happy(paul) | [] | null | 0 |
If someone is not generous or not quiet then someone is either happy or not calm and vice versa.
Everyone who is both quiet and not old is not strong or not funny and vice versa.
If someone is either not rich or old then someone is either not wise or quiet and vice versa.
Everyone who is both not strong and patient is ... | Lucy is rich. | neutral | ((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((happy(X)<~>~calm(X)))))&
(![X]:((quiet(X)&~old(X))<=>(~strong(X)|~funny(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((~strong(X)&patient(X))<=>~quiet(X)))&
(((happy(john)<~>~old(john)))<=>(?[X]:((~curious(X)&~tall(X)))))&
((~strong(paul))<=>... | rich(lucy) | [] | null | 0 |
Everyone who is strong or calm is both not tall and not rich and vice versa.
Everyone who is either not old or not rich is calm or funny and vice versa.
Everyone who is either brave or humble is either patient or old and vice versa.
Everyone who is both creative and not tall is both not old and patient.
If someone is n... | Fred is not calm. | entailment | (![X]:((strong(X)|calm(X))<=>(~tall(X)&~rich(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))<=>(patient(X)<~>old(X))))&
(![X]:((creative(X)&~tall(X))=>(~old(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&~rich(X)))))&
((?[X]:(humble(X)))<=>(curious(alice)))&
((~... | ~calm(fred) | [
"p0",
"p1",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6848281562455645040631648
% SZS output start Proof for 6848281562455645040631648
1. ! [X0] : ((calm(X0) | strong(X0)) <=> (~rich(X0) & ~tall(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (funny(X0) | calm(X0))) [input p1]
10. ! [X0] : ((rich(X0) <~> old(X0)) => ~humble(X0)) [... | 0 |
If mary is quiet then susan is both creative and humble. If susan is funny then someone is old and vice versa. If paul is curious then someone is both quiet and creative. If someone is not curious or rich then someone is either not generous or not strong and vice versa. Everyone who is either creative or old is not cal... | Alice is patient. | entailment | ((quiet(mary))=>((creative(susan)&humble(susan))))&
((funny(susan))<=>(?[X]:(old(X))))&
((curious(paul))=>(?[X]:((quiet(X)&creative(X)))))&
((?[X]:((~curious(X)|rich(X))))<=>(?[X]:((~generous(X)<~>~strong(X)))))&
(![X]:((creative(X)<~>old(X))<=>(~calm(X)|~curious(X))))&
(![X]:((wise(X)<~>~quiet(X))=>brave(X)))&
(![X]:(... | patient(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2224127110419830155105231
% SZS output start Proof for 2224127110419830155105231
16. ! [X0] : (~patient(X0) => (~happy(X0) & happy(X0))) [input p15]
25. ~patient(alice) [input hypothesis]
38. ! [X0] : ((~happy(X0) & happy(X0)) | patient(X0)) [ennf transformation 16]
132. happy(X0) | patie... | 0 |
If someone is both brave and wise then someone is either rich or not generous. If someone is either not kind or not wise then someone is both curious and not happy and vice versa. If susan is funny then paul is quiet or not tall. Everyone who is not calm is happy or not creative and vice versa. Everyone who is either f... | John is not wise. | entailment | ((?[X]:((brave(X)&wise(X))))=>(?[X]:((rich(X)<~>~generous(X)))))&
((?[X]:((~kind(X)<~>~wise(X))))<=>(?[X]:((curious(X)&~happy(X)))))&
((funny(susan))=>((quiet(paul)|~tall(paul))))&
(![X]:(~calm(X)<=>(happy(X)|~creative(X))))&
(![X]:((funny(X)<~>generous(X))=>patient(X)))&
(![X]:(~curious(X)=>(brave(X)&~kind(X))))&
(![X... | ~wise(john) | [
"p6",
"p7",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2005223549835319178857802
% SZS output start Proof for 2005223549835319178857802
7. ! [X0] : ((~humble(X0) & ~wise(X0)) <=> (rich(X0) | patient(X0))) [input p6]
8. ? [X0] : (brave(X0) | ~wise(X0)) <=> (patient(john) & strong(john)) [input p7]
12. ? [X0] : ~patient(X0) <=> ? [X0] : (brave(... | 0 |
Everyone who is either not happy or not humble is either not brave or patient and vice versa.
If someone is generous or rich then someone is creative.
Everyone who is strong is either old or calm.
If john is both quiet and wise then someone is not funny.
If someone is not kind then mary is both old and kind and vice ve... | Lucy is not humble. | entailment | (![X]:((~happy(X)<~>~humble(X))<=>(~brave(X)<~>patient(X))))&
((?[X]:((generous(X)|rich(X))))=>(?[X]:(creative(X))))&
(![X]:(strong(X)=>(old(X)<~>calm(X))))&
(((quiet(john)&wise(john)))=>(?[X]:(~funny(X))))&
((?[X]:(~kind(X)))<=>((old(mary)&kind(mary))))&
(![X]:((rich(X)&~humble(X))<=>~kind(X)))&
(![X]:((~brave(X)&~cur... | ~humble(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1799372743737263758274027
% SZS output start Proof for 1799372743737263758274027
13. ! [X0] : ((~generous(X0) | generous(X0)) => ~humble(X0)) [input p12]
25. humble(lucy) [input hypothesis]
35. ! [X0] : (~humble(X0) | (generous(X0) & ~generous(X0))) [ennf transformation 13]
119. ~humble(X... | 0 |
Everyone who is not brave is old. Everyone who is not calm is both funny and not patient. If someone is not curious or generous then lucy is either curious or kind. Everyone who is either calm or not funny is not kind or not brave and vice versa. Everyone who is humble or not creative is either patient or happy. If joh... | Susan is happy. | contradiction | (![X]:(~brave(X)=>old(X)))&
(![X]:(~calm(X)=>(funny(X)&~patient(X))))&
((?[X]:((~curious(X)|generous(X))))=>((curious(lucy)<~>kind(lucy))))&
(![X]:((calm(X)<~>~funny(X))<=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)|~creative(X))=>(patient(X)<~>happy(X))))&
(((~humble(john)|strong(john)))=>(?[X]:(~happy(X))))&
((?[X]:((~... | happy(susan) | [
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2633060121988128688305903
% SZS output start Proof for 2633060121988128688305903
9. ! [X0] : ((~quiet(X0) <~> ~kind(X0)) <=> (happy(X0) <~> ~kind(X0))) [input p8]
11. ! [X0] : ((happy(X0) | ~kind(X0)) => (happy(X0) & ~humble(X0))) [input p10]
12. ! [X0] : (kind(X0) <=> humble(X0)) [input ... | 0 |
Everyone who is not brave is both wise and not humble. If someone is not quiet then someone is either not strong or generous. If someone is either not humble or funny then mary is not strong or tall and vice versa. Everyone who is funny or creative is both not strong and tall. Everyone who is not brave or not patient i... | Alice is not rich. | contradiction | (![X]:(~brave(X)=>(wise(X)&~humble(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~strong(X)<~>generous(X)))))&
((?[X]:((~humble(X)<~>funny(X))))<=>((~strong(mary)|tall(mary))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~patient(X))=>~funny(X)))&
(![X]:((happy(X)|~tall(X))<=>(~generous(X)<~>generou... | ~rich(alice) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1007085562257170554771022
% SZS output start Proof for 1007085562257170554771022
1. ! [X0] : (~brave(X0) => (~humble(X0) & wise(X0))) [input p0]
3. ? [X0] : (~humble(X0) <~> funny(X0)) <=> (tall(mary) | ~strong(mary)) [input p2]
5. ! [X0] : ((~patient(X0) | ~brave(X0)) => ~funny(X0)) [inp... | 0 |
If someone is not old then someone is curious and vice versa.
If lucy is brave then alice is either brave or funny and vice versa.
Everyone who is not tall or humble is either not generous or not patient and vice versa.
If mary is not quiet or happy then someone is either brave or curious.
Everyone who is not funny or ... | Lucy is happy. | entailment | ((?[X]:(~old(X)))<=>(?[X]:(curious(X))))&
((brave(lucy))<=>((brave(alice)<~>funny(alice))))&
(![X]:((~tall(X)|humble(X))<=>(~generous(X)<~>~patient(X))))&
(((~quiet(mary)|happy(mary)))=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:((~funny(X)|~kind(X))<=>(calm(X)<~>~old(X))))&
(![X]:((creative(X)<~>~calm(X))<=>(~strong(X)<... | happy(lucy) | [
"p6",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8694279559265182984614611
% SZS output start Proof for 8694279559265182984614611
7. ! [X0] : ((strong(X0) & ~brave(X0)) <=> (generous(X0) | brave(X0))) [input p6]
12. ! [X0] : (~quiet(X0) <=> (~happy(X0) & ~brave(X0))) [input p11]
17. ~creative(lucy) & quiet(lucy) [input p16]
25. ~happy(l... | 0 |
Everyone who is both not happy and rich is either rich or brave and vice versa. Everyone who is either creative or generous is either humble or old and vice versa. Everyone who is both quiet and not wise is both wise and not creative and vice versa. If someone is humble then lucy is either not curious or not funny and ... | Mary is not funny. | neutral | (![X]:((~happy(X)&rich(X))<=>(rich(X)<~>brave(X))))&
(![X]:((creative(X)<~>generous(X))<=>(humble(X)<~>old(X))))&
(![X]:((quiet(X)&~wise(X))<=>(wise(X)&~creative(X))))&
((?[X]:(humble(X)))<=>((~curious(lucy)<~>~funny(lucy))))&
(![X]:((rich(X)&~funny(X))=>(brave(X)<~>~kind(X))))&
(![X]:(funny(X)<=>(brave(X)|curious(X)))... | ~funny(mary) | [] | null | 0 |
If someone is either rich or brave then lucy is both calm and not curious.
If someone is not wise then mary is either kind or not happy and vice versa.
If someone is brave then mary is either not happy or happy and vice versa.
Everyone who is not curious or not brave is both generous and not funny and vice versa.
Every... | Susan is rich. | contradiction | ((?[X]:((rich(X)<~>brave(X))))=>((calm(lucy)&~curious(lucy))))&
((?[X]:(~wise(X)))<=>((kind(mary)<~>~happy(mary))))&
((?[X]:(brave(X)))<=>((~happy(mary)<~>happy(mary))))&
(![X]:((~curious(X)|~brave(X))<=>(generous(X)&~funny(X))))&
(![X]:((generous(X)<~>~creative(X))<=>(happy(X)|~patient(X))))&
((?[X]:(brave(X)))=>((cre... | rich(susan) | [
"p6",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8472055338992457113522597
% SZS output start Proof for 8472055338992457113522597
7. ! [X0] : ((curious(X0) <~> ~quiet(X0)) <=> (~quiet(X0) <~> ~creative(X0))) [input p6]
10. ! [X0] : (~strong(X0) <=> curious(X0)) [input p9]
12. ! [X0] : ((brave(X0) | strong(X0)) <=> (~rich(X0) & ~old(X0))... | 0 |
If someone is not strong or not humble then someone is not rich or not tall. Everyone who is both humble and tall is not humble or wise. If susan is both funny and not patient then fred is either not brave or not calm and vice versa. If someone is either wise or funny then john is wise or not patient and vice versa. If... | Paul is not tall. | contradiction | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|wise(X))))&
(((funny(susan)&~patient(susan)))<=>((~brave(fred)<~>~calm(fred))))&
((?[X]:((wise(X)<~>funny(X))))<=>((wise(john)|~patient(john))))&
((?[X]:(~old(X)))=>(?[X]:((~happy(X)|~creative(X)))))&
((~calm(alice... | ~tall(paul) | [
"p7",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3347307290055607224628709
% SZS output start Proof for 3347307290055607224628709
8. (~wise(paul) & ~calm(paul)) <=> ? [X0] : (generous(X0) | happy(X0)) [input p7]
9. ! [X0] : ((patient(X0) | ~tall(X0)) => (happy(X0) | ~creative(X0))) [input p8]
11. ! [X0] : ((~creative(X0) | generous(X0))... | 0 |
Everyone who is creative or brave is both not tall and not creative and vice versa.
Everyone who is both not kind and humble is either strong or not patient.
Everyone who is either strong or not calm is strong.
Everyone who is either not humble or calm is not curious or calm.
If susan is either not quiet or not humble ... | John is quiet. | neutral | (![X]:((creative(X)|brave(X))<=>(~tall(X)&~creative(X))))&
(![X]:((~kind(X)&humble(X))=>(strong(X)<~>~patient(X))))&
(![X]:((strong(X)<~>~calm(X))=>strong(X)))&
(![X]:((~humble(X)<~>calm(X))=>(~curious(X)|calm(X))))&
(((~quiet(susan)<~>~humble(susan)))<=>((~strong(susan)<~>~generous(susan))))&
(![X]:((~kind(X)|~old(X))... | quiet(john) | [] | null | 0 |
Everyone who is both patient and not patient is rich and vice versa.
Everyone who is either patient or creative is either not creative or funny.
If someone is not patient or generous then someone is funny or tall.
If susan is not calm then someone is either humble or not creative and vice versa.
Everyone who is not kin... | Mary is creative. | neutral | (![X]:((patient(X)&~patient(X))<=>rich(X)))&
(![X]:((patient(X)<~>creative(X))=>(~creative(X)<~>funny(X))))&
((?[X]:((~patient(X)|generous(X))))=>(?[X]:((funny(X)|tall(X)))))&
((~calm(susan))<=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~kind(X)|curious(X))<=>(creative(X)<~>~happy(X))))&
(![X]:((calm(X)<~>wise(X))=>... | creative(mary) | [] | null | 0 |
Everyone who is both not brave and old is either not quiet or not creative and vice versa. Everyone who is creative or not generous is both not curious and not creative and vice versa. If lucy is either kind or tall then lucy is either quiet or old. Everyone who is either not strong or happy is not funny or not rich an... | Lucy is not funny. | entailment | (![X]:((~brave(X)&old(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:((creative(X)|~generous(X))<=>(~curious(X)&~creative(X))))&
(((kind(lucy)<~>tall(lucy)))=>((quiet(lucy)<~>old(lucy))))&
(![X]:((~strong(X)<~>happy(X))<=>(~funny(X)|~rich(X))))&
(![X]:((generous(X)|~creative(X))<=>~wise(X)))&
((?[X]:((~calm(X)|wise(X))))<=>... | ~funny(lucy) | [
"p1",
"p4",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 90867499992123070479142
% SZS output start Proof for 90867499992123070479142
2. ! [X0] : ((~generous(X0) | creative(X0)) <=> (~creative(X0) & ~curious(X0))) [input p1]
5. ! [X0] : ((~creative(X0) | generous(X0)) <=> ~wise(X0)) [input p4]
9. ! [X0] : ((rich(X0) | ~strong(X0)) => creative(X... | 0 |
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