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 either not kind or not calm is not kind or brave. Everyone who is quiet is not brave or not kind. Everyone who is not rich is tall. If mary is curious or kind then fred is both not curious and rich and vice versa. If someone is both calm and not strong then someone is either generous or funny and vice v... | Alice is not funny. | contradiction | (![X]:((~kind(X)<~>~calm(X))=>(~kind(X)|brave(X))))&
(![X]:(quiet(X)=>(~brave(X)|~kind(X))))&
(![X]:(~rich(X)=>tall(X)))&
(((curious(mary)|kind(mary)))<=>((~curious(fred)&rich(fred))))&
((?[X]:((calm(X)&~strong(X))))<=>(?[X]:((generous(X)<~>funny(X)))))&
(![X]:((~patient(X)&happy(X))<=>(~brave(X)|brave(X))))&
(![X]:((~... | ~funny(alice) | [
"p2",
"p6",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2544188710187498900350872
% SZS output start Proof for 2544188710187498900350872
3. ! [X0] : (~rich(X0) => tall(X0)) [input p2]
7. ! [X0] : ((rich(X0) | ~strong(X0)) <=> (funny(X0) & generous(X0))) [input p6]
15. ! [X0] : ((~wise(X0) | humble(X0)) <=> (rich(X0) & brave(X0))) [input p14]
2... | 0 |
If mary is both quiet and not old then fred is both not strong and rich and vice versa. Everyone who is not old is either not humble or kind. If someone is old or not patient then mary is creative or not wise and vice versa. If paul is either not brave or happy then lucy is not wise or not creative. Everyone who is str... | Alice is creative. | contradiction | (((quiet(mary)&~old(mary)))<=>((~strong(fred)&rich(fred))))&
(![X]:(~old(X)=>(~humble(X)<~>kind(X))))&
((?[X]:((old(X)|~patient(X))))<=>((creative(mary)|~wise(mary))))&
(((~brave(paul)<~>happy(paul)))=>((~wise(lucy)|~creative(lucy))))&
(![X]:(strong(X)=>~calm(X)))&
((?[X]:((curious(X)<~>old(X))))=>((generous(susan)|~wi... | creative(alice) | [
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7429519579690028744672961
% SZS output start Proof for 7429519579690028744672961
7. ! [X0] : ((patient(X0) & kind(X0)) <=> (~generous(X0) | strong(X0))) [input p6]
10. ! [X0] : ((quiet(X0) | calm(X0)) <=> (~funny(X0) & ~patient(X0))) [input p9]
13. ! [X0] : ((~quiet(X0) <~> strong(X0)) <=... | 0 |
Everyone who is both not wise and kind is both not kind and funny. Everyone who is both not quiet and not kind is both rich and kind. Everyone who is not strong is both humble and not patient and vice versa. If susan is either not rich or not humble then someone is quiet and vice versa. If paul is not generous or patie... | Susan is not happy. | neutral | (![X]:((~wise(X)&kind(X))=>(~kind(X)&funny(X))))&
(![X]:((~quiet(X)&~kind(X))=>(rich(X)&kind(X))))&
(![X]:(~strong(X)<=>(humble(X)&~patient(X))))&
(((~rich(susan)<~>~humble(susan)))<=>(?[X]:(quiet(X))))&
(((~generous(paul)|patient(paul)))=>(?[X]:((kind(X)<~>old(X)))))&
(![X]:(wise(X)=>(brave(X)|~kind(X))))&
(![X]:((old... | ~happy(susan) | [] | null | 0 |
Everyone who is happy is either funny or not generous and vice versa. If someone is brave then someone is both generous and not funny. Everyone who is strong or old is curious or humble. If someone is both wise and not quiet then someone is not funny or not generous and vice versa. Everyone who is not kind or not humbl... | Paul is rich. | neutral | (![X]:(happy(X)<=>(funny(X)<~>~generous(X))))&
((?[X]:(brave(X)))=>(?[X]:((generous(X)&~funny(X)))))&
(![X]:((strong(X)|old(X))=>(curious(X)|humble(X))))&
((?[X]:((wise(X)&~quiet(X))))<=>(?[X]:((~funny(X)|~generous(X)))))&
(![X]:((~kind(X)|~humble(X))<=>curious(X)))&
(![X]:((~wise(X)|~calm(X))=>(wise(X)&~rich(X))))&
(!... | rich(paul) | [] | null | 0 |
Everyone who is either humble or not curious is both generous and not strong and vice versa. If someone is not tall or patient then fred is either funny or happy. Everyone who is kind or not humble is happy or not humble. Everyone who is not wise is creative or not brave. Everyone who is strong is calm or old. Everyone... | Fred is not old. | neutral | (![X]:((humble(X)<~>~curious(X))<=>(generous(X)&~strong(X))))&
((?[X]:((~tall(X)|patient(X))))=>((funny(fred)<~>happy(fred))))&
(![X]:((kind(X)|~humble(X))=>(happy(X)|~humble(X))))&
(![X]:(~wise(X)=>(creative(X)|~brave(X))))&
(![X]:(strong(X)=>(calm(X)|old(X))))&
(![X]:(~funny(X)=>(~brave(X)&~patient(X))))&
(![X]:((~st... | ~old(fred) | [] | null | 0 |
Everyone who is not calm is either strong or humble.
If mary is either rich or creative then susan is both patient and creative.
Everyone who is generous is both not brave and patient and vice versa.
If someone is either creative or not wise then someone is both kind and tall and vice versa.
If someone is both creative... | Fred is funny. | entailment | (![X]:(~calm(X)=>(strong(X)<~>humble(X))))&
(((rich(mary)<~>creative(mary)))=>((patient(susan)&creative(susan))))&
(![X]:(generous(X)<=>(~brave(X)&patient(X))))&
((?[X]:((creative(X)<~>~wise(X))))<=>(?[X]:((kind(X)&tall(X)))))&
((?[X]:((creative(X)&~old(X))))=>(?[X]:((~happy(X)&~creative(X)))))&
(![X]:((creative(X)|hum... | funny(fred) | [
"p2",
"p6",
"p7",
"p13",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 97858880525750735530700
% SZS output start Proof for 97858880525750735530700
3. ! [X0] : (generous(X0) <=> (patient(X0) & ~brave(X0))) [input p2]
7. ! [X0] : ((~patient(X0) | quiet(X0)) => (~rich(X0) <~> quiet(X0))) [input p6]
8. ! [X0] : ((~wise(X0) <~> ~generous(X0)) <=> (~humble(X0) | ... | 0 |
If someone is either creative or not patient then someone is calm or not old.
Everyone who is either wise or not patient is either not curious or patient and vice versa.
Everyone who is either not kind or not creative is old or calm.
If mary is both not brave and quiet then someone is either old or not happy.
Everyone ... | John is not patient. | entailment | ((?[X]:((creative(X)<~>~patient(X))))=>(?[X]:((calm(X)|~old(X)))))&
(![X]:((wise(X)<~>~patient(X))<=>(~curious(X)<~>patient(X))))&
(![X]:((~kind(X)<~>~creative(X))=>(old(X)|calm(X))))&
(((~brave(mary)&quiet(mary)))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:(~brave(X)=>(~kind(X)|strong(X))))&
((?[X]:((generous(X)<~>~tall(X... | ~patient(john) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 511395963068354663526007
% SZS output start Proof for 511395963068354663526007
11. ! [X0] : ((~curious(X0) | ~rich(X0)) => tall(X0)) [input p10]
16. ! [X0] : ((rich(X0) | tall(X0)) => (~happy(X0) & ~patient(X0))) [input p15]
24. patient(john) [input hypothesis]
37. ! [X0] : (tall(X0) | (c... | 0 |
Everyone who is happy or quiet is not creative.
Everyone who is both kind and generous is rich.
If fred is either curious or not funny then someone is either old or patient and vice versa.
Everyone who is not tall or not happy is not old or tall.
If fred is not generous then someone is not calm and vice versa.
If fred ... | Alice is not quiet. | entailment | (![X]:((happy(X)|quiet(X))=>~creative(X)))&
(![X]:((kind(X)&generous(X))=>rich(X)))&
(((curious(fred)<~>~funny(fred)))<=>(?[X]:((old(X)<~>patient(X)))))&
(![X]:((~tall(X)|~happy(X))=>(~old(X)|tall(X))))&
((~generous(fred))<=>(?[X]:(~calm(X))))&
(((~creative(fred)&~humble(fred)))=>(?[X]:((~old(X)&~tall(X)))))&
((?[X]:((... | ~quiet(alice) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3287775028091741019133137
% SZS output start Proof for 3287775028091741019133137
11. ! [X0] : (funny(X0) <=> (~calm(X0) | ~funny(X0))) [input p10]
13. ! [X0] : (funny(X0) <=> (~quiet(X0) & happy(X0))) [input p12]
25. quiet(alice) [input hypothesis]
50. ! [X0] : ((funny(X0) | (calm(X0) & f... | 0 |
If someone is curious then mary is not curious or funny and vice versa. Everyone who is not happy is either kind or generous. Everyone who is not rich or not patient is either not brave or generous. Everyone who is both not curious and rich is not rich or not funny. Everyone who is both not rich and quiet is both happy... | Susan is not generous. | neutral | ((?[X]:(curious(X)))<=>((~curious(mary)|funny(mary))))&
(![X]:(~happy(X)=>(kind(X)<~>generous(X))))&
(![X]:((~rich(X)|~patient(X))=>(~brave(X)<~>generous(X))))&
(![X]:((~curious(X)&rich(X))=>(~rich(X)|~funny(X))))&
(![X]:((~rich(X)&quiet(X))<=>(happy(X)&old(X))))&
(![X]:((~creative(X)|creative(X))<=>(~old(X)|quiet(X)))... | ~generous(susan) | [] | null | 0 |
If john is either not tall or not strong then lucy is both not quiet and not kind.
Everyone who is both not happy and not brave is not calm or not old.
If john is both not quiet and calm then susan is not happy or happy and vice versa.
Everyone who is not brave or not funny is either not quiet or happy.
Everyone who is... | Mary is brave. | contradiction | (((~tall(john)<~>~strong(john)))=>((~quiet(lucy)&~kind(lucy))))&
(![X]:((~happy(X)&~brave(X))=>(~calm(X)|~old(X))))&
(((~quiet(john)&calm(john)))<=>((~happy(susan)|happy(susan))))&
(![X]:((~brave(X)|~funny(X))=>(~quiet(X)<~>happy(X))))&
(![X]:((humble(X)|quiet(X))<=>(~generous(X)&funny(X))))&
(![X]:((quiet(X)<~>creativ... | brave(mary) | [
"p3",
"p4",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2845497833731712101360849
% SZS output start Proof for 2845497833731712101360849
4. ! [X0] : ((~funny(X0) | ~brave(X0)) => (~quiet(X0) <~> happy(X0))) [input p3]
5. ! [X0] : ((quiet(X0) | humble(X0)) <=> (funny(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((~happy(X0) & generous(X0)) => ... | 0 |
Everyone who is not patient is both strong and wise and vice versa. Everyone who is quiet is both strong and not humble and vice versa. Everyone who is not tall or rich is tall or not brave and vice versa. Everyone who is patient is both not curious and not rich and vice versa. Everyone who is either not curious or cur... | Lucy is happy. | neutral | (![X]:(~patient(X)<=>(strong(X)&wise(X))))&
(![X]:(quiet(X)<=>(strong(X)&~humble(X))))&
(![X]:((~tall(X)|rich(X))<=>(tall(X)|~brave(X))))&
(![X]:(patient(X)<=>(~curious(X)&~rich(X))))&
(![X]:((~curious(X)<~>curious(X))<=>(old(X)<~>~rich(X))))&
((?[X]:((calm(X)|~brave(X))))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:(old(X... | happy(lucy) | [] | null | 0 |
Everyone who is tall is not patient.
If someone is not strong or not generous then someone is either not funny or not old and vice versa.
Everyone who is not wise or happy is not rich and vice versa.
Everyone who is both humble and brave is not tall.
Everyone who is not curious is both generous and not kind and vice ve... | Mary is humble. | entailment | (![X]:(tall(X)=>~patient(X)))&
((?[X]:((~strong(X)|~generous(X))))<=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~wise(X)|happy(X))<=>~rich(X)))&
(![X]:((humble(X)&brave(X))=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:((~quiet(X)&quiet(X))<=>(~humble(X)|kind(... | humble(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4466521179502848952724297
% SZS output start Proof for 4466521179502848952724297
7. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (kind(X0) | ~humble(X0))) [input p6]
25. ~humble(mary) [input hypothesis]
46. ! [X0] : (((quiet(X0) & ~quiet(X0)) | (~kind(X0) & humble(X0))) & ((kind(X0) | ~humble(X... | 0 |
Everyone who is patient is either calm or not strong.
Everyone who is not calm is either not strong or not brave.
Everyone who is both happy and funny is generous or creative and vice versa.
Everyone who is both happy and not strong is old or not calm and vice versa.
Everyone who is generous is not rich or not happy an... | Paul is not old. | entailment | (![X]:(patient(X)=>(calm(X)<~>~strong(X))))&
(![X]:(~calm(X)=>(~strong(X)<~>~brave(X))))&
(![X]:((happy(X)&funny(X))<=>(generous(X)|creative(X))))&
(![X]:((happy(X)&~strong(X))<=>(old(X)|~calm(X))))&
(![X]:(generous(X)<=>(~rich(X)|~happy(X))))&
(![X]:((curious(X)&old(X))=>(humble(X)&wise(X))))&
(![X]:((~quiet(X)|strong... | ~old(paul) | [
"p2",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3789344736177267961633387
% SZS output start Proof for 3789344736177267961633387
3. ! [X0] : ((funny(X0) & happy(X0)) <=> (creative(X0) | generous(X0))) [input p2]
5. ! [X0] : (generous(X0) <=> (~happy(X0) | ~rich(X0))) [input p4]
14. (~happy(john) & old(john)) <=> ? [X0] : old(X0) [input... | 0 |
Everyone who is brave or tall is either rich or wise. If john is either curious or strong then lucy is tall. If paul is both quiet and not humble then fred is generous. If someone is wise or old then someone is not rich or not kind. Everyone who is either not quiet or not humble is creative. If fred is either not happy... | Paul is not humble. | neutral | (![X]:((brave(X)|tall(X))=>(rich(X)<~>wise(X))))&
(((curious(john)<~>strong(john)))=>(tall(lucy)))&
(((quiet(paul)&~humble(paul)))=>(generous(fred)))&
((?[X]:((wise(X)|old(X))))=>(?[X]:((~rich(X)|~kind(X)))))&
(![X]:((~quiet(X)<~>~humble(X))=>creative(X)))&
(((~happy(fred)<~>~generous(fred)))=>(?[X]:((~curious(X)<~>~br... | ~humble(paul) | [] | null | 0 |
If susan is both not brave and wise then someone is calm.
Everyone who is both wise and generous is both not quiet and curious and vice versa.
If fred is not quiet or not kind then someone is both happy and creative and vice versa.
If susan is both strong and not patient then someone is either curious or quiet.
Everyon... | Susan is wise. | neutral | (((~brave(susan)&wise(susan)))=>(?[X]:(calm(X))))&
(![X]:((wise(X)&generous(X))<=>(~quiet(X)&curious(X))))&
(((~quiet(fred)|~kind(fred)))<=>(?[X]:((happy(X)&creative(X)))))&
(((strong(susan)&~patient(susan)))=>(?[X]:((curious(X)<~>quiet(X)))))&
(![X]:(creative(X)=>funny(X)))&
(![X]:(~brave(X)<=>(brave(X)<~>~happy(X))))... | wise(susan) | [] | null | 0 |
Everyone who is curious or not strong is either not patient or not old. Everyone who is both wise and not quiet is both not calm and old. If susan is both not funny and not kind then fred is not rich and vice versa. Everyone who is either creative or humble is both not generous and brave and vice versa. Everyone who is... | Fred is not strong. | neutral | (![X]:((curious(X)|~strong(X))=>(~patient(X)<~>~old(X))))&
(![X]:((wise(X)&~quiet(X))=>(~calm(X)&old(X))))&
(((~funny(susan)&~kind(susan)))<=>(~rich(fred)))&
(![X]:((creative(X)<~>humble(X))<=>(~generous(X)&brave(X))))&
(![X]:((~brave(X)<~>~strong(X))<=>(brave(X)|quiet(X))))&
((?[X]:((kind(X)<~>~quiet(X))))=>(?[X]:(~fu... | ~strong(fred) | [] | null | 0 |
If someone is wise or kind then someone is brave or strong.
Everyone who is not funny is both not funny and tall and vice versa.
If someone is tall or kind then someone is both humble and not kind and vice versa.
Everyone who is not humble is both old and not curious.
Everyone who is generous is both not curious and no... | Susan is not calm. | contradiction | ((?[X]:((wise(X)|kind(X))))=>(?[X]:((brave(X)|strong(X)))))&
(![X]:(~funny(X)<=>(~funny(X)&tall(X))))&
((?[X]:((tall(X)|kind(X))))<=>(?[X]:((humble(X)&~kind(X)))))&
(![X]:(~humble(X)=>(old(X)&~curious(X))))&
(![X]:(generous(X)=>(~curious(X)&~kind(X))))&
(![X]:((tall(X)|strong(X))=>(generous(X)&~patient(X))))&
(((~creat... | ~calm(susan) | [
"p3",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7927601226111826798165743
% SZS output start Proof for 7927601226111826798165743
4. ! [X0] : (~humble(X0) => (~curious(X0) & old(X0))) [input p3]
9. ! [X0] : ((~humble(X0) <~> calm(X0)) <=> (~kind(X0) | ~happy(X0))) [input p8]
13. ! [X0] : ((humble(X0) & strong(X0)) <=> (~brave(X0) | old(... | 0 |
Everyone who is both strong and funny is both kind and brave.
Everyone who is tall is creative or kind.
Everyone who is both not happy and brave is either brave or curious and vice versa.
If john is either rich or not tall then mary is either generous or creative.
If paul is rich then someone is both not tall and wise ... | Lucy is not curious. | entailment | (![X]:((strong(X)&funny(X))=>(kind(X)&brave(X))))&
(![X]:(tall(X)=>(creative(X)|kind(X))))&
(![X]:((~happy(X)&brave(X))<=>(brave(X)<~>curious(X))))&
(((rich(john)<~>~tall(john)))=>((generous(mary)<~>creative(mary))))&
((rich(paul))<=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((~curious(X)<~>generous(X))=>(funny(X)<~>~curious... | ~curious(lucy) | [
"p2",
"p5",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5191260458672238548194179
% SZS output start Proof for 5191260458672238548194179
3. ! [X0] : ((brave(X0) & ~happy(X0)) <=> (brave(X0) <~> curious(X0))) [input p2]
6. ! [X0] : ((~curious(X0) <~> generous(X0)) => (funny(X0) <~> ~curious(X0))) [input p5]
11. ! [X0] : ((~generous(X0) | ~happy... | 0 |
If paul is patient or creative then someone is not tall or old.
Everyone who is both wise and brave is either not rich or patient and vice versa.
Everyone who is both not patient and kind is not wise and vice versa.
Everyone who is not funny is curious.
If paul is curious then lucy is not tall.
Everyone who is both not... | Paul is generous. | neutral | (((patient(paul)|creative(paul)))=>(?[X]:((~tall(X)|old(X)))))&
(![X]:((wise(X)&brave(X))<=>(~rich(X)<~>patient(X))))&
(![X]:((~patient(X)&kind(X))<=>~wise(X)))&
(![X]:(~funny(X)=>curious(X)))&
((curious(paul))=>(~tall(lucy)))&
(![X]:((~tall(X)&funny(X))<=>wise(X)))&
(![X]:((~tall(X)&happy(X))=>(~quiet(X)<~>humble(X)))... | generous(paul) | [] | null | 0 |
Everyone who is wise is either not curious or not old and vice versa.
If someone is happy then lucy is either not happy or humble and vice versa.
Everyone who is both not quiet and not patient is either old or not patient and vice versa.
Everyone who is both old and not brave is both not humble and not old.
Everyone wh... | Mary is generous. | neutral | (![X]:(wise(X)<=>(~curious(X)<~>~old(X))))&
((?[X]:(happy(X)))<=>((~happy(lucy)<~>humble(lucy))))&
(![X]:((~quiet(X)&~patient(X))<=>(old(X)<~>~patient(X))))&
(![X]:((old(X)&~brave(X))=>(~humble(X)&~old(X))))&
(![X]:((tall(X)&happy(X))<=>(brave(X)<~>~patient(X))))&
(((happy(alice)&curious(alice)))=>(?[X]:(~wise(X))))&
(... | generous(mary) | [] | null | 0 |
Everyone who is not strong or not tall is both not happy and not patient and vice versa.
Everyone who is either not creative or generous is either not funny or not humble and vice versa.
If mary is either not generous or not brave then mary is happy and vice versa.
Everyone who is strong is not calm or not humble.
Ever... | Fred is strong. | entailment | (![X]:((~strong(X)|~tall(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(~funny(X)<~>~humble(X))))&
(((~generous(mary)<~>~brave(mary)))<=>(happy(mary)))&
(![X]:(strong(X)=>(~calm(X)|~humble(X))))&
(![X]:(~creative(X)<=>(~calm(X)<~>brave(X))))&
(![X]:(patient(X)<=>(kind(X)<~>generous(X))))&
(((~c... | strong(fred) | [
"p0",
"p8",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2188202325038192161897226
% SZS output start Proof for 2188202325038192161897226
1. ! [X0] : ((~tall(X0) | ~strong(X0)) <=> (~patient(X0) & ~happy(X0))) [input p0]
9. ! [X0] : ((~patient(X0) <~> generous(X0)) <=> (patient(X0) & ~humble(X0))) [input p8]
14. ~generous(fred) <=> ? [X0] : (ol... | 0 |
Everyone who is not rich is either not strong or not old and vice versa. If someone is patient then someone is both not humble and not patient. If someone is either strong or curious then someone is either happy or not wise and vice versa. Everyone who is either not patient or not funny is either not curious or not tal... | John is not creative. | entailment | (![X]:(~rich(X)<=>(~strong(X)<~>~old(X))))&
((?[X]:(patient(X)))=>(?[X]:((~humble(X)&~patient(X)))))&
((?[X]:((strong(X)<~>curious(X))))<=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((~patient(X)<~>~funny(X))<=>(~curious(X)<~>~tall(X))))&
(![X]:((curious(X)<~>wise(X))<=>calm(X)))&
(![X]:((~curious(X)&~rich(X))<=>(generous(... | ~creative(john) | [
"p4",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8734189196499765965507369
% SZS output start Proof for 8734189196499765965507369
5. ! [X0] : ((curious(X0) <~> wise(X0)) <=> calm(X0)) [input p4]
13. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (~strong(X0) | ~wise(X0))) [input p12]
15. ! [X0] : ((creative(X0) | happy(X0)) => (~creative(X0)... | 0 |
If someone is both not happy and brave then mary is not quiet or not creative.
If someone is not tall then john is not tall.
Everyone who is old or not kind is both not funny and curious and vice versa.
Everyone who is happy or humble is not generous or kind and vice versa.
If someone is both tall and not wise then som... | John is not tall. | entailment | ((?[X]:((~happy(X)&brave(X))))=>((~quiet(mary)|~creative(mary))))&
((?[X]:(~tall(X)))=>(~tall(john)))&
(![X]:((old(X)|~kind(X))<=>(~funny(X)&curious(X))))&
(![X]:((happy(X)|humble(X))<=>(~generous(X)|kind(X))))&
((?[X]:((tall(X)&~wise(X))))<=>(?[X]:((calm(X)|curious(X)))))&
(((old(susan)&~kind(susan)))=>((~brave(john)&... | ~tall(john) | [
"p1",
"p2",
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2658932596312364497850124
% SZS output start Proof for 2658932596312364497850124
2. ? [X0] : ~tall(X0) => ~tall(john) [input p1]
3. ! [X0] : ((~kind(X0) | old(X0)) <=> (curious(X0) & ~funny(X0))) [input p2]
7. ! [X0] : ((strong(X0) & ~curious(X0)) <=> (old(X0) & tall(X0))) [input p6]
23. ... | 0 |
Everyone who is humble or not old is both not curious and strong.
Everyone who is kind or not creative is generous or not calm.
Everyone who is not calm or curious is not strong and vice versa.
If someone is either tall or quiet then susan is not rich or happy.
If someone is not funny or creative then alice is both cur... | Mary is creative. | neutral | (![X]:((humble(X)|~old(X))=>(~curious(X)&strong(X))))&
(![X]:((kind(X)|~creative(X))=>(generous(X)|~calm(X))))&
(![X]:((~calm(X)|curious(X))<=>~strong(X)))&
((?[X]:((tall(X)<~>quiet(X))))=>((~rich(susan)|happy(susan))))&
((?[X]:((~funny(X)|creative(X))))<=>((curious(alice)&creative(alice))))&
(![X]:((wise(X)<~>quiet(X)... | creative(mary) | [] | null | 0 |
Everyone who is either brave or patient is either old or happy.
If lucy is not kind then someone is either curious or generous.
Everyone who is brave is both not rich and tall and vice versa.
Everyone who is either calm or not rich is rich or not calm and vice versa.
Everyone who is funny is curious and vice versa.
Eve... | Lucy is wise. | entailment | (![X]:((brave(X)<~>patient(X))=>(old(X)<~>happy(X))))&
((~kind(lucy))=>(?[X]:((curious(X)<~>generous(X)))))&
(![X]:(brave(X)<=>(~rich(X)&tall(X))))&
(![X]:((calm(X)<~>~rich(X))<=>(rich(X)|~calm(X))))&
(![X]:(funny(X)<=>curious(X)))&
(![X]:((~curious(X)|~rich(X))<=>(humble(X)<~>~humble(X))))&
(![X]:((old(X)&wise(X))<=>(... | wise(lucy) | [
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3615021081979328090505645
% SZS output start Proof for 3615021081979328090505645
4. ! [X0] : ((calm(X0) <~> ~rich(X0)) <=> (~calm(X0) | rich(X0))) [input p3]
8. ! [X0] : (tall(X0) <=> (~tall(X0) | ~calm(X0))) [input p7]
9. (wise(lucy) <~> calm(lucy)) <=> ? [X0] : (calm(X0) | ~rich(X0)) [i... | 0 |
Everyone who is either not happy or not old is either brave or not happy and vice versa.
Everyone who is either quiet or tall is not happy or not humble and vice versa.
Everyone who is not generous or not kind is both generous and creative and vice versa.
Everyone who is both old and not strong is both humble and old a... | John is not happy. | neutral | (![X]:((~happy(X)<~>~old(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((quiet(X)<~>tall(X))<=>(~happy(X)|~humble(X))))&
(![X]:((~generous(X)|~kind(X))<=>(generous(X)&creative(X))))&
(![X]:((old(X)&~strong(X))<=>(humble(X)&old(X))))&
(![X]:(~kind(X)=>(~rich(X)<~>humble(X))))&
(![X]:(~patient(X)=>funny(X)))&
(![X]:(funny(X)<=>(... | ~happy(john) | [] | null | 0 |
If someone is not funny then someone is both not patient and wise and vice versa. Everyone who is generous is calm or tall and vice versa. Everyone who is kind is either not old or wise. Everyone who is creative is not wise and vice versa. Everyone who is not curious or curious is not creative or not old. If susan is e... | John is old. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~patient(X)&wise(X)))))&
(![X]:(generous(X)<=>(calm(X)|tall(X))))&
(![X]:(kind(X)=>(~old(X)<~>wise(X))))&
(![X]:(creative(X)<=>~wise(X)))&
(![X]:((~curious(X)|curious(X))=>(~creative(X)|~old(X))))&
(((~humble(susan)<~>funny(susan)))<=>((~quiet(paul)|~strong(paul))))&
(![X]:(~wise(X)=>(~tal... | old(john) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5234096529043759993416183
% SZS output start Proof for 5234096529043759993416183
5. ! [X0] : ((curious(X0) | ~curious(X0)) => (~old(X0) | ~creative(X0))) [input p4]
9. ! [X0] : (~creative(X0) => ~old(X0)) [input p8]
20. old(john) [input hypothesis]
25. ! [X0] : ((~old(X0) | ~creative(X0))... | 0 |
Everyone who is not quiet or humble is either not quiet or calm and vice versa. Everyone who is either wise or not humble is either not generous or wise and vice versa. Everyone who is not old or generous is either tall or wise and vice versa. Everyone who is not generous or generous is not old and vice versa. Everyone... | Susan is not humble. | contradiction | (![X]:((~quiet(X)|humble(X))<=>(~quiet(X)<~>calm(X))))&
(![X]:((wise(X)<~>~humble(X))<=>(~generous(X)<~>wise(X))))&
(![X]:((~old(X)|generous(X))<=>(tall(X)<~>wise(X))))&
(![X]:((~generous(X)|generous(X))<=>~old(X)))&
(![X]:((patient(X)<~>~kind(X))<=>(quiet(X)<~>~wise(X))))&
(![X]:((generous(X)<~>calm(X))<=>(~kind(X)<~>... | ~humble(susan) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7413320090231871968930124
% SZS output start Proof for 7413320090231871968930124
1. ! [X0] : ((humble(X0) | ~quiet(X0)) <=> (~quiet(X0) <~> calm(X0))) [input p0]
2. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (~generous(X0) <~> wise(X0))) [input p1]
3. ! [X0] : ((generous(X0) | ~old(X0)) <=>... | 0 |
If someone is kind or not rich then someone is both quiet and not kind. Everyone who is both old and not tall is not quiet or patient and vice versa. Everyone who is not wise is not calm. Everyone who is either brave or not rich is both wise and rich. Everyone who is wise or not funny is humble. Everyone who is wise is... | Alice is not strong. | entailment | ((?[X]:((kind(X)|~rich(X))))=>(?[X]:((quiet(X)&~kind(X)))))&
(![X]:((old(X)&~tall(X))<=>(~quiet(X)|patient(X))))&
(![X]:(~wise(X)=>~calm(X)))&
(![X]:((brave(X)<~>~rich(X))=>(wise(X)&rich(X))))&
(![X]:((wise(X)|~funny(X))=>humble(X)))&
(![X]:(wise(X)<=>~curious(X)))&
((?[X]:((curious(X)<~>~brave(X))))=>(?[X]:((creative(... | ~strong(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4696432294396339443150270
% SZS output start Proof for 4696432294396339443150270
12. ! [X0] : ((happy(X0) | strong(X0)) <=> ~strong(X0)) [input p11]
21. strong(alice) [input hypothesis]
52. ! [X0] : (((happy(X0) | strong(X0)) | strong(X0)) & (~strong(X0) | (~happy(X0) & ~strong(X0)))) [nn... | 0 |
If mary is either tall or not kind then someone is old.
Everyone who is strong or generous is old and vice versa.
Everyone who is both not old and wise is both humble and funny and vice versa.
Everyone who is both generous and not quiet is not happy or not quiet.
If alice is either tall or not humble then alice is eith... | Paul is tall. | entailment | (((tall(mary)<~>~kind(mary)))=>(?[X]:(old(X))))&
(![X]:((strong(X)|generous(X))<=>old(X)))&
(![X]:((~old(X)&wise(X))<=>(humble(X)&funny(X))))&
(![X]:((generous(X)&~quiet(X))=>(~happy(X)|~quiet(X))))&
(((tall(alice)<~>~humble(alice)))<=>((~funny(alice)<~>funny(alice))))&
(![X]:((creative(X)|tall(X))<=>(generous(X)&~funn... | tall(paul) | [
"p5",
"p6",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7865273243082612809452303
% SZS output start Proof for 7865273243082612809452303
6. ! [X0] : ((tall(X0) | creative(X0)) <=> (~funny(X0) & generous(X0))) [input p5]
7. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~funny(X0) <~> ~tall(X0))) [input p6]
10. ! [X0] : (happy(X0) <=> (~kind(X0) | ~hap... | 0 |
Everyone who is both not quiet and rich is both not patient and not old.
Everyone who is either old or quiet is either not patient or not funny and vice versa.
If mary is not wise then alice is generous.
Everyone who is rich or calm is not rich and vice versa.
Everyone who is either kind or old is either rich or patien... | Paul is humble. | neutral | (![X]:((~quiet(X)&rich(X))=>(~patient(X)&~old(X))))&
(![X]:((old(X)<~>quiet(X))<=>(~patient(X)<~>~funny(X))))&
((~wise(mary))=>(generous(alice)))&
(![X]:((rich(X)|calm(X))<=>~rich(X)))&
(![X]:((kind(X)<~>old(X))<=>(rich(X)<~>patient(X))))&
(((~happy(alice)<~>patient(alice)))<=>(?[X]:((~curious(X)<~>tall(X)))))&
(![X]:(... | humble(paul) | [] | null | 0 |
Everyone who is both wise and not calm is quiet. Everyone who is not patient or not generous is happy or humble. If someone is brave or humble then mary is not generous. Everyone who is funny is not quiet and vice versa. If lucy is generous then someone is either not old or tall and vice versa. If paul is kind or stron... | Mary is generous. | contradiction | (![X]:((wise(X)&~calm(X))=>quiet(X)))&
(![X]:((~patient(X)|~generous(X))=>(happy(X)|humble(X))))&
((?[X]:((brave(X)|humble(X))))=>(~generous(mary)))&
(![X]:(funny(X)<=>~quiet(X)))&
((generous(lucy))<=>(?[X]:((~old(X)<~>tall(X)))))&
(((kind(paul)|strong(paul)))<=>((~creative(lucy)<~>funny(lucy))))&
(((~funny(john)<~>str... | generous(mary) | [
"p2",
"p3",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8345299666477597627501103
% SZS output start Proof for 8345299666477597627501103
3. ? [X0] : (humble(X0) | brave(X0)) => ~generous(mary) [input p2]
4. ! [X0] : (funny(X0) <=> ~quiet(X0)) [input p3]
9. ! [X0] : ((~curious(X0) | ~quiet(X0)) => (tall(X0) & ~strong(X0))) [input p8]
12. ! [X0]... | 0 |
If someone is brave or humble then someone is not creative or not quiet.
Everyone who is curious is both not rich and not brave and vice versa.
If someone is strong or not rich then susan is both not generous and patient.
Everyone who is both not brave and kind is not curious and vice versa.
If someone is not generous ... | Susan is happy. | neutral | ((?[X]:((brave(X)|humble(X))))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:(curious(X)<=>(~rich(X)&~brave(X))))&
((?[X]:((strong(X)|~rich(X))))=>((~generous(susan)&patient(susan))))&
(![X]:((~brave(X)&kind(X))<=>~curious(X)))&
((?[X]:(~generous(X)))<=>(~happy(alice)))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:((kind(X)<~... | happy(susan) | [] | null | 0 |
Everyone who is kind or not humble is both old and not tall. Everyone who is strong or old is both not wise and rich and vice versa. If lucy is either not tall or generous then john is either generous or happy. Everyone who is brave is not kind. Everyone who is either not patient or patient is either not old or old and... | Susan is tall. | contradiction | (![X]:((kind(X)|~humble(X))=>(old(X)&~tall(X))))&
(![X]:((strong(X)|old(X))<=>(~wise(X)&rich(X))))&
(((~tall(lucy)<~>generous(lucy)))=>((generous(john)<~>happy(john))))&
(![X]:(brave(X)=>~kind(X)))&
(![X]:((~patient(X)<~>patient(X))<=>(~old(X)<~>old(X))))&
(![X]:((old(X)&funny(X))=>(~calm(X)&old(X))))&
(![X]:(~wise(X)=... | tall(susan) | [
"p0",
"p1",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7560565715197997706400313
% SZS output start Proof for 7560565715197997706400313
1. ! [X0] : ((~humble(X0) | kind(X0)) => (~tall(X0) & old(X0))) [input p0]
2. ! [X0] : ((old(X0) | strong(X0)) <=> (rich(X0) & ~wise(X0))) [input p1]
9. ! [X0] : ((wise(X0) <~> ~funny(X0)) <=> (~patient(X0) &... | 0 |
Everyone who is either happy or not curious is both not generous and not happy and vice versa. If someone is either tall or happy then someone is either not strong or not creative. Everyone who is either creative or not brave is humble or not creative and vice versa. Everyone who is either not humble or curious is eith... | Fred is wise. | entailment | (![X]:((happy(X)<~>~curious(X))<=>(~generous(X)&~happy(X))))&
((?[X]:((tall(X)<~>happy(X))))=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:((creative(X)<~>~brave(X))<=>(humble(X)|~creative(X))))&
(![X]:((~humble(X)<~>curious(X))<=>(generous(X)<~>~curious(X))))&
(![X]:((funny(X)|~calm(X))<=>wise(X)))&
(((~quiet(fred)<~>... | wise(fred) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2675931470289989757553751
% SZS output start Proof for 2675931470289989757553751
4. ! [X0] : ((~humble(X0) <~> curious(X0)) <=> (generous(X0) <~> ~curious(X0))) [input p3]
5. ! [X0] : ((~calm(X0) | funny(X0)) <=> wise(X0)) [input p4]
10. ! [X0] : ((~humble(X0) <~> generous(X0)) <=> (funny... | 0 |
Everyone who is funny is not humble and vice versa. Everyone who is both not creative and not happy is not generous or generous. If susan is either not quiet or happy then paul is not quiet. Everyone who is either not happy or quiet is either wise or not brave and vice versa. Everyone who is curious or funny is both ol... | Mary is creative. | neutral | (![X]:(funny(X)<=>~humble(X)))&
(![X]:((~creative(X)&~happy(X))=>(~generous(X)|generous(X))))&
(((~quiet(susan)<~>happy(susan)))=>(~quiet(paul)))&
(![X]:((~happy(X)<~>quiet(X))<=>(wise(X)<~>~brave(X))))&
(![X]:((curious(X)|funny(X))<=>(old(X)&wise(X))))&
(((kind(john)&~calm(john)))=>(?[X]:(~humble(X))))&
(![X]:(humble(... | creative(mary) | [] | null | 0 |
If alice is either not curious or not funny then susan is both not quiet and rich and vice versa. Everyone who is both funny and tall is either kind or not happy. Everyone who is both tall and not quiet is not strong. Everyone who is both rich and not old is tall or not quiet and vice versa. Everyone who is both funny ... | Susan is not generous. | contradiction | (((~curious(alice)<~>~funny(alice)))<=>((~quiet(susan)&rich(susan))))&
(![X]:((funny(X)&tall(X))=>(kind(X)<~>~happy(X))))&
(![X]:((tall(X)&~quiet(X))=>~strong(X)))&
(![X]:((rich(X)&~old(X))<=>(tall(X)|~quiet(X))))&
(![X]:((funny(X)&~generous(X))=>~brave(X)))&
(![X]:((~humble(X)<~>~funny(X))=>(kind(X)<~>~generous(X))))&... | ~generous(susan) | [
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2223532351249258510937910
% SZS output start Proof for 2223532351249258510937910
14. ! [X0] : ((generous(X0) & ~brave(X0)) <=> ~rich(X0)) [input p13]
18. happy(susan) & ~rich(susan) [input p17]
24. ~generous(susan) [input hypothesis]
62. ! [X0] : (((generous(X0) & ~brave(X0)) | rich(X0)) ... | 0 |
Everyone who is not creative or not quiet is not brave.
If someone is not tall or not kind then someone is not kind or creative.
If someone is not funny then fred is not kind or strong.
If someone is both not patient and patient then someone is both not brave and not humble.
Everyone who is both wise and patient is bot... | Lucy is not funny. | entailment | (![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(X))<=>(quiet(X)&~happy(X))))&
(![X]:(funny(X)<=>(tall(X)<~>rich... | ~funny(lucy) | [
"p5",
"p6",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6373777414139461478827855
% SZS output start Proof for 6373777414139461478827855
6. ! [X0] : (funny(X0) <=> (tall(X0) <~> rich(X0))) [input p5]
7. ! [X0] : ((~curious(X0) | brave(X0)) <=> ~patient(X0)) [input p6]
12. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~brave(X0) & happy(X0))) [in... | 0 |
If paul is either not happy or happy then john is either tall or happy and vice versa. If someone is either tall or not quiet then alice is both strong and not strong. If someone is either tall or not humble then someone is not calm and vice versa. Everyone who is both not strong and funny is both not old and not funny... | Susan is not brave. | neutral | (((~happy(paul)<~>happy(paul)))<=>((tall(john)<~>happy(john))))&
((?[X]:((tall(X)<~>~quiet(X))))=>((strong(alice)&~strong(alice))))&
((?[X]:((tall(X)<~>~humble(X))))<=>(?[X]:(~calm(X))))&
(![X]:((~strong(X)&funny(X))<=>(~old(X)&~funny(X))))&
(![X]:((generous(X)&~strong(X))=>(~wise(X)&~old(X))))&
(((~creative(fred)<~>~w... | ~brave(susan) | [] | null | 0 |
If someone is either not creative or generous then susan is both tall and happy.
Everyone who is creative is either quiet or not tall.
If alice is both not strong and not old then someone is calm or tall and vice versa.
Everyone who is rich is either funny or strong.
If alice is both quiet and not calm then someone is ... | John is not rich. | entailment | ((?[X]:((~creative(X)<~>generous(X))))=>((tall(susan)&happy(susan))))&
(![X]:(creative(X)=>(quiet(X)<~>~tall(X))))&
(((~strong(alice)&~old(alice)))<=>(?[X]:((calm(X)|tall(X)))))&
(![X]:(rich(X)=>(funny(X)<~>strong(X))))&
(((quiet(alice)&~calm(alice)))<=>(?[X]:((rich(X)|calm(X)))))&
(![X]:((patient(X)&~tall(X))<=>(creat... | ~rich(john) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8490692622215919265738433
% SZS output start Proof for 8490692622215919265738433
5. (~calm(alice) & quiet(alice)) <=> ? [X0] : (calm(X0) | rich(X0)) [input p4]
9. ! [X0] : (~calm(X0) <=> ~quiet(X0)) [input p8]
24. rich(john) [input hypothesis]
41. ((~calm(alice) & quiet(alice)) | ! [X0] :... | 0 |
Everyone who is wise is quiet or not old and vice versa.
Everyone who is old is both wise and rich and vice versa.
If someone is either patient or humble then john is calm.
If someone is rich then alice is not calm and vice versa.
If someone is not wise then susan is either not calm or not generous.
If someone is not c... | John is not calm. | neutral | (![X]:(wise(X)<=>(quiet(X)|~old(X))))&
(![X]:(old(X)<=>(wise(X)&rich(X))))&
((?[X]:((patient(X)<~>humble(X))))=>(calm(john)))&
((?[X]:(rich(X)))<=>(~calm(alice)))&
((?[X]:(~wise(X)))=>((~calm(susan)<~>~generous(susan))))&
((?[X]:((~curious(X)|old(X))))=>(?[X]:(strong(X))))&
((?[X]:((~strong(X)<~>~calm(X))))<=>(?[X]:((~... | ~calm(john) | [] | null | 0 |
Everyone who is both not patient and rich is either not brave or happy and vice versa. If someone is both humble and funny then someone is both not old and rich. If someone is not funny or not calm then someone is either not old or not creative. If alice is both brave and not wise then someone is either funny or calm. ... | Susan is not quiet. | entailment | (![X]:((~patient(X)&rich(X))<=>(~brave(X)<~>happy(X))))&
((?[X]:((humble(X)&funny(X))))=>(?[X]:((~old(X)&rich(X)))))&
((?[X]:((~funny(X)|~calm(X))))=>(?[X]:((~old(X)<~>~creative(X)))))&
(((brave(alice)&~wise(alice)))=>(?[X]:((funny(X)<~>calm(X)))))&
(![X]:((old(X)<~>~humble(X))<=>(~creative(X)&~funny(X))))&
(![X]:((~ha... | ~quiet(susan) | [
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1241644128305798942143182
% SZS output start Proof for 1241644128305798942143182
10. ? [X0] : strong(X0) <=> ~quiet(susan) [input p9]
16. (wise(mary) | ~strong(mary)) <=> humble(susan) [input p15]
21. ~humble(susan) [input p20]
25. quiet(susan) [input hypothesis]
55. (? [X0] : strong(X0) ... | 0 |
Everyone who is both not calm and not kind is humble or rich and vice versa.
If fred is both not wise and rich then alice is both not generous and not creative and vice versa.
Everyone who is either not tall or not rich is both not generous and not patient and vice versa.
If fred is either not funny or humble then some... | John is not creative. | neutral | (![X]:((~calm(X)&~kind(X))<=>(humble(X)|rich(X))))&
(((~wise(fred)&rich(fred)))<=>((~generous(alice)&~creative(alice))))&
(![X]:((~tall(X)<~>~rich(X))<=>(~generous(X)&~patient(X))))&
(((~funny(fred)<~>humble(fred)))<=>(?[X]:((~patient(X)&quiet(X)))))&
((~patient(mary))=>((~old(paul)&old(paul))))&
(![X]:((quiet(X)&~humb... | ~creative(john) | [] | null | 0 |
Everyone who is either brave or curious is both old and not calm and vice versa. If someone is either wise or not strong then alice is either not kind or quiet and vice versa. Everyone who is curious is tall or strong and vice versa. Everyone who is not funny or not generous is not strong and vice versa. Everyone who i... | John is not funny. | contradiction | (![X]:((brave(X)<~>curious(X))<=>(old(X)&~calm(X))))&
((?[X]:((wise(X)<~>~strong(X))))<=>((~kind(alice)<~>quiet(alice))))&
(![X]:(curious(X)<=>(tall(X)|strong(X))))&
(![X]:((~funny(X)|~generous(X))<=>~strong(X)))&
(![X]:(~quiet(X)=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[... | ~funny(john) | [
"p2",
"p3",
"p4",
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6057491839340119396204518
% SZS output start Proof for 6057491839340119396204518
3. ! [X0] : (curious(X0) <=> (strong(X0) | tall(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | ~funny(X0)) <=> ~strong(X0)) [input p3]
5. ! [X0] : (~quiet(X0) => (~humble(X0) <~> curious(X0))) [input p4]
6. !... | 0 |
Everyone who is either not rich or tall is wise.
Everyone who is not old is not strong or not creative.
Everyone who is happy or not happy is not brave.
Everyone who is either generous or rich is tall or not tall and vice versa.
If someone is both not wise and rich then lucy is not calm or not kind and vice versa.
Ever... | Susan is quiet. | neutral | (![X]:((~rich(X)<~>tall(X))=>wise(X)))&
(![X]:(~old(X)=>(~strong(X)|~creative(X))))&
(![X]:((happy(X)|~happy(X))=>~brave(X)))&
(![X]:((generous(X)<~>rich(X))<=>(tall(X)|~tall(X))))&
((?[X]:((~wise(X)&rich(X))))<=>((~calm(lucy)|~kind(lucy))))&
(![X]:((humble(X)&creative(X))<=>~happy(X)))&
((?[X]:((strong(X)|~kind(X))))=... | quiet(susan) | [] | null | 0 |
Everyone who is both not brave and wise is not generous.
Everyone who is rich is both not curious and not rich and vice versa.
Everyone who is not quiet is brave and vice versa.
If someone is both old and not wise then someone is either calm or not calm and vice versa.
Everyone who is both not old and humble is tall.
E... | John is not calm. | neutral | (![X]:((~brave(X)&wise(X))=>~generous(X)))&
(![X]:(rich(X)<=>(~curious(X)&~rich(X))))&
(![X]:(~quiet(X)<=>brave(X)))&
((?[X]:((old(X)&~wise(X))))<=>(?[X]:((calm(X)<~>~calm(X)))))&
(![X]:((~old(X)&humble(X))=>tall(X)))&
(![X]:((~kind(X)<~>~patient(X))<=>(happy(X)<~>calm(X))))&
(![X]:((quiet(X)|~funny(X))<=>(~creative(X)... | ~calm(john) | [] | null | 0 |
Everyone who is either kind or quiet is either not curious or not tall and vice versa. Everyone who is not humble is humble or brave and vice versa. Everyone who is strong is brave or not strong and vice versa. Everyone who is either tall or funny is either happy or not kind and vice versa. Everyone who is both strong ... | Susan is not generous. | neutral | (![X]:((kind(X)<~>quiet(X))<=>(~curious(X)<~>~tall(X))))&
(![X]:(~humble(X)<=>(humble(X)|brave(X))))&
(![X]:(strong(X)<=>(brave(X)|~strong(X))))&
(![X]:((tall(X)<~>funny(X))<=>(happy(X)<~>~kind(X))))&
(![X]:((strong(X)&rich(X))<=>(~strong(X)&~happy(X))))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(curious(X)=>humble(X)))... | ~generous(susan) | [] | null | 0 |
Everyone who is not strong or not tall is either not curious or kind and vice versa. If someone is either humble or tall then someone is kind. If someone is brave then someone is either brave or not funny and vice versa. Everyone who is brave or old is not wise or not brave and vice versa. If mary is not creative or no... | Paul is not wise. | contradiction | (![X]:((~strong(X)|~tall(X))<=>(~curious(X)<~>kind(X))))&
((?[X]:((humble(X)<~>tall(X))))=>(?[X]:(kind(X))))&
((?[X]:(brave(X)))<=>(?[X]:((brave(X)<~>~funny(X)))))&
(![X]:((brave(X)|old(X))<=>(~wise(X)|~brave(X))))&
(((~creative(mary)|~kind(mary)))<=>((humble(john)|funny(john))))&
((?[X]:((humble(X)&~humble(X))))<=>((~... | ~wise(paul) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2580147072748786376575873
% SZS output start Proof for 2580147072748786376575873
8. ! [X0] : (~wise(X0) => (generous(X0) <~> wise(X0))) [input p7]
9. ! [X0] : ((~old(X0) <~> old(X0)) => ~generous(X0)) [input p8]
23. ~wise(paul) [input hypothesis]
30. ! [X0] : ((generous(X0) <~> wise(X0)) ... | 0 |
Everyone who is not patient or not kind is either kind or not patient and vice versa.
If someone is not kind or quiet then lucy is either old or not generous.
Everyone who is both not creative and not generous is creative and vice versa.
If someone is not rich then someone is either curious or not calm.
Everyone who is... | Paul is not humble. | neutral | (![X]:((~patient(X)|~kind(X))<=>(kind(X)<~>~patient(X))))&
((?[X]:((~kind(X)|quiet(X))))=>((old(lucy)<~>~generous(lucy))))&
(![X]:((~creative(X)&~generous(X))<=>creative(X)))&
((?[X]:(~rich(X)))=>(?[X]:((curious(X)<~>~calm(X)))))&
(![X]:(patient(X)<=>~quiet(X)))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((~funny(john)<~>~quie... | ~humble(paul) | [] | null | 0 |
If someone is not old or not generous then someone is not creative or kind and vice versa.
Everyone who is either funny or not humble is patient or not generous and vice versa.
Everyone who is humble or kind is both calm and tall and vice versa.
Everyone who is both generous and not brave is either creative or not crea... | Mary is tall. | entailment | ((?[X]:((~old(X)|~generous(X))))<=>(?[X]:((~creative(X)|kind(X)))))&
(![X]:((funny(X)<~>~humble(X))<=>(patient(X)|~generous(X))))&
(![X]:((humble(X)|kind(X))<=>(calm(X)&tall(X))))&
(![X]:((generous(X)&~brave(X))<=>(creative(X)<~>~creative(X))))&
((?[X]:((calm(X)<~>wise(X))))=>((rich(fred)&~curious(fred))))&
(![X]:((~ri... | tall(mary) | [
"p2",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4271667104266774035362739
% SZS output start Proof for 4271667104266774035362739
3. ! [X0] : ((kind(X0) | humble(X0)) <=> (tall(X0) & calm(X0))) [input p2]
10. ! [X0] : ((~calm(X0) | old(X0)) => (humble(X0) & ~calm(X0))) [input p9]
11. ! [X0] : ((~curious(X0) & old(X0)) <=> (~rich(X0) | h... | 0 |
If someone is either not curious or not old then lucy is kind and vice versa.
Everyone who is both tall and patient is either curious or not happy.
If someone is strong or happy then alice is both curious and tall and vice versa.
Everyone who is not funny or creative is either wise or happy.
If someone is either not br... | Alice is wise. | neutral | ((?[X]:((~curious(X)<~>~old(X))))<=>(kind(lucy)))&
(![X]:((tall(X)&patient(X))=>(curious(X)<~>~happy(X))))&
((?[X]:((strong(X)|happy(X))))<=>((curious(alice)&tall(alice))))&
(![X]:((~funny(X)|creative(X))=>(wise(X)<~>happy(X))))&
((?[X]:((~brave(X)<~>~funny(X))))=>(?[X]:((generous(X)<~>~tall(X)))))&
((?[X]:((~calm(X)|~... | wise(alice) | [] | null | 0 |
Everyone who is funny or not creative is either funny or generous.
Everyone who is not creative or creative is kind or not humble.
Everyone who is not strong is both not kind and calm and vice versa.
Everyone who is both wise and old is both calm and quiet and vice versa.
Everyone who is both old and not tall is not st... | Lucy is not kind. | contradiction | (![X]:((funny(X)|~creative(X))=>(funny(X)<~>generous(X))))&
(![X]:((~creative(X)|creative(X))=>(kind(X)|~humble(X))))&
(![X]:(~strong(X)<=>(~kind(X)&calm(X))))&
(![X]:((wise(X)&old(X))<=>(calm(X)&quiet(X))))&
(![X]:((old(X)&~tall(X))<=>(~strong(X)|~curious(X))))&
(((~brave(lucy)|~wise(lucy)))=>((wise(lucy)&~rich(lucy))... | ~kind(lucy) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8304885696138764926764461
% SZS output start Proof for 8304885696138764926764461
3. ! [X0] : (~strong(X0) <=> (calm(X0) & ~kind(X0))) [input p2]
4. ! [X0] : ((old(X0) & wise(X0)) <=> (quiet(X0) & calm(X0))) [input p3]
5. ! [X0] : ((~tall(X0) & old(X0)) <=> (~curious(X0) | ~strong(X0))) [i... | 0 |
Everyone who is curious or wise is either funny or brave.
Everyone who is either not quiet or patient is either rich or not tall and vice versa.
If someone is either not quiet or not tall then someone is either not funny or brave and vice versa.
Everyone who is calm or not funny is not happy.
Everyone who is humble is ... | Susan is quiet. | contradiction | (![X]:((curious(X)|wise(X))=>(funny(X)<~>brave(X))))&
(![X]:((~quiet(X)<~>patient(X))<=>(rich(X)<~>~tall(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))<=>(?[X]:((~funny(X)<~>brave(X)))))&
(![X]:((calm(X)|~funny(X))=>~happy(X)))&
(![X]:(humble(X)<=>(old(X)&kind(X))))&
(![X]:((old(X)<~>~curious(X))=>tall(X)))&
((?[X]:((~generou... | quiet(susan) | [
"p0",
"p3",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6284815591523702672510381
% SZS output start Proof for 6284815591523702672510381
1. ! [X0] : ((wise(X0) | curious(X0)) => (funny(X0) <~> brave(X0))) [input p0]
4. ! [X0] : ((~funny(X0) | calm(X0)) => ~happy(X0)) [input p3]
8. ! [X0] : ((~old(X0) | wise(X0)) => ~funny(X0)) [input p7]
12. !... | 0 |
Everyone who is not calm is not curious or tall and vice versa. Everyone who is either not brave or wise is either funny or brave. Everyone who is both not generous and rich is not calm. Everyone who is not curious is old or not quiet. If someone is not old or not quiet then paul is both not happy and not generous and ... | Alice is not patient. | neutral | (![X]:(~calm(X)<=>(~curious(X)|tall(X))))&
(![X]:((~brave(X)<~>wise(X))=>(funny(X)<~>brave(X))))&
(![X]:((~generous(X)&rich(X))=>~calm(X)))&
(![X]:(~curious(X)=>(old(X)|~quiet(X))))&
((?[X]:((~old(X)|~quiet(X))))<=>((~happy(paul)&~generous(paul))))&
((?[X]:(~rich(X)))=>(?[X]:((funny(X)|rich(X)))))&
(![X]:((patient(X)&g... | ~patient(alice) | [] | null | 0 |
If someone is either not quiet or happy then someone is both funny and not humble. If fred is funny then paul is not quiet or old. If someone is both not generous and wise then john is either not happy or happy and vice versa. Everyone who is not curious or not tall is either not rich or funny. If someone is either not... | Lucy is happy. | contradiction | ((?[X]:((~quiet(X)<~>happy(X))))=>(?[X]:((funny(X)&~humble(X)))))&
((funny(fred))=>((~quiet(paul)|old(paul))))&
((?[X]:((~generous(X)&wise(X))))<=>((~happy(john)<~>happy(john))))&
(![X]:((~curious(X)|~tall(X))=>(~rich(X)<~>funny(X))))&
((?[X]:((~strong(X)<~>generous(X))))=>((happy(paul)|curious(paul))))&
(![X]:((happy(... | happy(lucy) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 179504027705349544073469
% SZS output start Proof for 179504027705349544073469
6. ! [X0] : ((~wise(X0) | happy(X0)) => (~curious(X0) & ~rich(X0))) [input p5]
10. ! [X0] : ((~calm(X0) & calm(X0)) <=> ~curious(X0)) [input p9]
21. happy(lucy) [input hypothesis]
32. ! [X0] : ((~curious(X0) & ... | 0 |
Everyone who is both curious and patient is both not creative and not happy.
Everyone who is tall or not generous is curious and vice versa.
Everyone who is not strong or not wise is old.
If paul is both curious and not patient then fred is strong.
Everyone who is either funny or quiet is old or not tall and vice versa... | Fred is creative. | neutral | (![X]:((curious(X)&patient(X))=>(~creative(X)&~happy(X))))&
(![X]:((tall(X)|~generous(X))<=>curious(X)))&
(![X]:((~strong(X)|~wise(X))=>old(X)))&
(((curious(paul)&~patient(paul)))=>(strong(fred)))&
(![X]:((funny(X)<~>quiet(X))<=>(old(X)|~tall(X))))&
(![X]:((tall(X)&~happy(X))<=>(~humble(X)&~happy(X))))&
(![X]:(funny(X)... | creative(fred) | [] | null | 0 |
Everyone who is both curious and humble is both brave and not patient.
Everyone who is either not humble or not brave is either not kind or strong and vice versa.
Everyone who is not funny or happy is not brave or quiet and vice versa.
If paul is not patient then someone is either creative or curious and vice versa.
If... | John is rich. | neutral | (![X]:((curious(X)&humble(X))=>(brave(X)&~patient(X))))&
(![X]:((~humble(X)<~>~brave(X))<=>(~kind(X)<~>strong(X))))&
(![X]:((~funny(X)|happy(X))<=>(~brave(X)|quiet(X))))&
((~patient(paul))<=>(?[X]:((creative(X)<~>curious(X)))))&
(((~generous(john)&~creative(john)))<=>(?[X]:((quiet(X)&~funny(X)))))&
((?[X]:(~calm(X)))<=... | rich(john) | [] | null | 0 |
If someone is tall or not funny then lucy is quiet or creative and vice versa.
Everyone who is either kind or strong is not tall.
If someone is not patient or not generous then fred is kind.
Everyone who is humble is calm or not kind and vice versa.
If susan is not creative then alice is not funny or not kind and vice ... | Alice is old. | contradiction | ((?[X]:((tall(X)|~funny(X))))<=>((quiet(lucy)|creative(lucy))))&
(![X]:((kind(X)<~>strong(X))=>~tall(X)))&
((?[X]:((~patient(X)|~generous(X))))=>(kind(fred)))&
(![X]:(humble(X)<=>(calm(X)|~kind(X))))&
((~creative(susan))<=>((~funny(alice)|~kind(alice))))&
(![X]:((generous(X)&~calm(X))=>(~patient(X)|~happy(X))))&
(![X]:... | old(alice) | [
"p3",
"p4",
"p6",
"p13",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2644563476130826041900266
% SZS output start Proof for 2644563476130826041900266
4. ! [X0] : (humble(X0) <=> (~kind(X0) | calm(X0))) [input p3]
5. ~creative(susan) <=> (~kind(alice) | ~funny(alice)) [input p4]
7. ! [X0] : ((~old(X0) <~> ~calm(X0)) => (funny(X0) <~> calm(X0))) [input p6]
1... | 0 |
Everyone who is either not tall or not happy is not curious or kind and vice versa. Everyone who is either not strong or not rich is curious. Everyone who is not generous is not tall and vice versa. If lucy is not funny then someone is both not old and not tall. If someone is either patient or creative then someone is ... | Mary is kind. | entailment | (![X]:((~tall(X)<~>~happy(X))<=>(~curious(X)|kind(X))))&
(![X]:((~strong(X)<~>~rich(X))=>curious(X)))&
(![X]:(~generous(X)<=>~tall(X)))&
((~funny(lucy))=>(?[X]:((~old(X)&~tall(X)))))&
((?[X]:((patient(X)<~>creative(X))))<=>(?[X]:((tall(X)&~kind(X)))))&
(((~tall(susan)&humble(susan)))<=>(old(mary)))&
(![X]:((~calm(X)|~p... | kind(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4312105686397984249300926
% SZS output start Proof for 4312105686397984249300926
12. ? [X0] : (~kind(X0) | ~curious(X0)) <=> (kind(mary) & ~tall(mary)) [input p11]
25. ~kind(mary) [input hypothesis]
57. (? [X0] : (~kind(X0) | ~curious(X0)) | (~kind(mary) | tall(mary))) & ((kind(mary) & ~t... | 0 |
Everyone who is both not tall and not generous is both calm and quiet.
If lucy is not creative or patient then paul is quiet or kind.
If someone is either not humble or not creative then someone is not strong and vice versa.
If someone is either not strong or quiet then someone is old and vice versa.
Everyone who is bo... | Fred is wise. | entailment | (![X]:((~tall(X)&~generous(X))=>(calm(X)&quiet(X))))&
(((~creative(lucy)|patient(lucy)))=>((quiet(paul)|kind(paul))))&
((?[X]:((~humble(X)<~>~creative(X))))<=>(?[X]:(~strong(X))))&
((?[X]:((~strong(X)<~>quiet(X))))<=>(?[X]:(old(X))))&
(![X]:((~rich(X)&~happy(X))=>(~rich(X)|brave(X))))&
((?[X]:((generous(X)<~>calm(X))))... | wise(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5635156050672879537388352
% SZS output start Proof for 5635156050672879537388352
8. ! [X0] : (funny(X0) <=> (~funny(X0) | wise(X0))) [input p7]
23. ~wise(fred) [input hypothesis]
54. ! [X0] : ((funny(X0) | (funny(X0) & ~wise(X0))) & ((~funny(X0) | wise(X0)) | ~funny(X0))) [nnf transformat... | 0 |
Everyone who is both quiet and brave is both not strong and quiet and vice versa. If someone is either not creative or creative then lucy is not calm. If someone is not wise then someone is not rich. Everyone who is not curious is creative or not patient and vice versa. Everyone who is old or not quiet is either not cr... | Paul is not funny. | contradiction | (![X]:((quiet(X)&brave(X))<=>(~strong(X)&quiet(X))))&
((?[X]:((~creative(X)<~>creative(X))))=>(~calm(lucy)))&
((?[X]:(~wise(X)))=>(?[X]:(~rich(X))))&
(![X]:(~curious(X)<=>(creative(X)|~patient(X))))&
(![X]:((old(X)|~quiet(X))<=>(~creative(X)<~>~curious(X))))&
((?[X]:((~generous(X)&~funny(X))))=>(?[X]:(~quiet(X))))&
(![... | ~funny(paul) | [
"p9",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 427963282935603770620401
% SZS output start Proof for 427963282935603770620401
10. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p9]
12. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happy(X0))) [input p11]
14. ! [X0] : ((~creative(X0) & happy(X0)) <=> (genero... | 0 |
If john is both not creative and old then john is old. If mary is both not old and not strong then someone is funny and vice versa. If paul is not creative then someone is old or calm and vice versa. Everyone who is both not rich and not quiet is not patient. If john is either humble or kind then mary is both humble an... | John is creative. | contradiction | (((~creative(john)&old(john)))=>(old(john)))&
(((~old(mary)&~strong(mary)))<=>(?[X]:(funny(X))))&
((~creative(paul))<=>(?[X]:((old(X)|calm(X)))))&
(![X]:((~rich(X)&~quiet(X))=>~patient(X)))&
(((humble(john)<~>kind(john)))<=>((humble(mary)&patient(mary))))&
((?[X]:(~quiet(X)))<=>((wise(alice)|~calm(alice))))&
(![X]:((~f... | creative(john) | [
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5650409172376964170365060
% SZS output start Proof for 5650409172376964170365060
14. ! [X0] : (curious(X0) => (wise(X0) & ~creative(X0))) [input p13]
16. ! [X0] : ((~patient(X0) | creative(X0)) => (~wise(X0) | curious(X0))) [input p15]
22. wise(john) & tall(john) [input p21]
25. creative(... | 0 |
If paul is either not tall or not brave then mary is kind and vice versa.
Everyone who is not happy is strong and vice versa.
If someone is not brave or old then someone is either generous or strong and vice versa.
Everyone who is humble is both happy and not wise and vice versa.
Everyone who is either not kind or brav... | Mary is not generous. | neutral | (((~tall(paul)<~>~brave(paul)))<=>(kind(mary)))&
(![X]:(~happy(X)<=>strong(X)))&
((?[X]:((~brave(X)|old(X))))<=>(?[X]:((generous(X)<~>strong(X)))))&
(![X]:(humble(X)<=>(happy(X)&~wise(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(~calm(X)&old(X))))&
((?[X]:((generous(X)&~wise(X))))=>(~strong(john)))&
(![X]:(~strong(X)<=>~quie... | ~generous(mary) | [] | null | 0 |
Everyone who is both not strong and humble is either not kind or calm and vice versa.
If john is not generous then lucy is both kind and curious and vice versa.
Everyone who is either not curious or not humble is both not creative and not humble and vice versa.
If someone is either not tall or not strong then susan is ... | John is brave. | contradiction | (![X]:((~strong(X)&humble(X))<=>(~kind(X)<~>calm(X))))&
((~generous(john))<=>((kind(lucy)&curious(lucy))))&
(![X]:((~curious(X)<~>~humble(X))<=>(~creative(X)&~humble(X))))&
((?[X]:((~tall(X)<~>~strong(X))))<=>((old(susan)&~generous(susan))))&
(![X]:((rich(X)&brave(X))=>(~rich(X)&brave(X))))&
(![X]:((brave(X)&strong(X))... | brave(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6681503539322480064543351
% SZS output start Proof for 6681503539322480064543351
11. (rich(lucy) & ~rich(lucy)) <=> brave(john) [input p10]
24. brave(john) [input hypothesis]
55. ((rich(lucy) & ~rich(lucy)) | ~brave(john)) & (brave(john) | (~rich(lucy) | rich(lucy))) [nnf transformation 1... | 0 |
Everyone who is not kind is either calm or not curious.
If susan is not strong then someone is either not generous or old and vice versa.
If lucy is either not strong or not curious then someone is funny and vice versa.
Everyone who is not rich is kind and vice versa.
If paul is both not calm and happy then mary is eit... | Susan is generous. | neutral | (![X]:(~kind(X)=>(calm(X)<~>~curious(X))))&
((~strong(susan))<=>(?[X]:((~generous(X)<~>old(X)))))&
(((~strong(lucy)<~>~curious(lucy)))<=>(?[X]:(funny(X))))&
(![X]:(~rich(X)<=>kind(X)))&
(((~calm(paul)&happy(paul)))<=>((~calm(mary)<~>humble(mary))))&
((?[X]:((~patient(X)<~>strong(X))))=>(?[X]:(~brave(X))))&
(((brave(fre... | generous(susan) | [] | null | 0 |
If lucy is not tall then lucy is either not humble or calm and vice versa.
Everyone who is patient is not creative or not patient and vice versa.
Everyone who is either not happy or kind is kind and vice versa.
If someone is either happy or not old then someone is either not old or not brave and vice versa.
Everyone wh... | Alice is not calm. | entailment | ((~tall(lucy))<=>((~humble(lucy)<~>calm(lucy))))&
(![X]:(patient(X)<=>(~creative(X)|~patient(X))))&
(![X]:((~happy(X)<~>kind(X))<=>kind(X)))&
((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((~rich(X)&tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((wise(X)&~happy(X))=>(curious(X)<~>creative(X))))&
(![X... | ~calm(alice) | [
"p2",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7159774928757829586256603
% SZS output start Proof for 7159774928757829586256603
3. ! [X0] : ((~happy(X0) <~> kind(X0)) <=> kind(X0)) [input p2]
9. ? [X0] : (~happy(X0) & ~funny(X0)) <=> ? [X0] : (quiet(X0) | ~curious(X0)) [input p8]
10. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> ~quiet(X0)) ... | 0 |
Everyone who is both humble and not kind is quiet and vice versa. If someone is not generous then mary is both calm and old and vice versa. If someone is not calm then paul is not old. Everyone who is both patient and tall is both humble and creative. Everyone who is not kind is either brave or not humble. Everyone who... | Mary is happy. | contradiction | (![X]:((humble(X)&~kind(X))<=>quiet(X)))&
((?[X]:(~generous(X)))<=>((calm(mary)&old(mary))))&
((?[X]:(~calm(X)))=>(~old(paul)))&
(![X]:((patient(X)&tall(X))=>(humble(X)&creative(X))))&
(![X]:(~kind(X)=>(brave(X)<~>~humble(X))))&
(![X]:((happy(X)|creative(X))=>humble(X)))&
((kind(fred))=>(?[X]:((humble(X)|curious(X)))))... | happy(mary) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4374289216052396033846241
% SZS output start Proof for 4374289216052396033846241
6. ! [X0] : ((creative(X0) | happy(X0)) => humble(X0)) [input p5]
19. ~humble(mary) [input p18]
23. happy(mary) [input hypothesis]
30. ! [X0] : (humble(X0) | (~creative(X0) & ~happy(X0))) [ennf transformation... | 0 |
Everyone who is either generous or not strong is either not creative or not old and vice versa.
If someone is either calm or not patient then susan is both not strong and not patient and vice versa.
Everyone who is not funny is either not curious or not rich and vice versa.
Everyone who is either not old or curious is ... | John is not kind. | contradiction | (![X]:((generous(X)<~>~strong(X))<=>(~creative(X)<~>~old(X))))&
((?[X]:((calm(X)<~>~patient(X))))<=>((~strong(susan)&~patient(susan))))&
(![X]:(~funny(X)<=>(~curious(X)<~>~rich(X))))&
(![X]:((~old(X)<~>curious(X))<=>(wise(X)<~>~kind(X))))&
((tall(mary))=>((funny(john)<~>~quiet(john))))&
((?[X]:((~quiet(X)<~>funny(X))))... | ~kind(john) | [
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5826873934816748887829452
% SZS output start Proof for 5826873934816748887829452
11. ! [X0] : (tall(X0) <=> (~brave(X0) | ~kind(X0))) [input p10]
19. ~tall(john) & ~calm(john) [input p18]
25. ~kind(john) [input hypothesis]
54. ! [X0] : ((tall(X0) | (brave(X0) & kind(X0))) & ((~brave(X0) |... | 0 |
If someone is either not wise or not tall then someone is either rich or wise.
Everyone who is creative or not rich is happy or strong and vice versa.
Everyone who is both not humble and strong is either strong or patient and vice versa.
If someone is either generous or curious then john is both quiet and generous.
If ... | Susan is not tall. | entailment | ((?[X]:((~wise(X)<~>~tall(X))))=>(?[X]:((rich(X)<~>wise(X)))))&
(![X]:((creative(X)|~rich(X))<=>(happy(X)|strong(X))))&
(![X]:((~humble(X)&strong(X))<=>(strong(X)<~>patient(X))))&
((?[X]:((generous(X)<~>curious(X))))=>((quiet(john)&generous(john))))&
((?[X]:((~rich(X)|~wise(X))))=>((curious(susan)<~>tall(susan))))&
(((... | ~tall(susan) | [
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5742040801743863546256078
% SZS output start Proof for 5742040801743863546256078
14. ! [X0] : ((~brave(X0) & wise(X0)) <=> (tall(X0) | generous(X0))) [input p13]
19. ~wise(susan) & ~generous(susan) [input p18]
25. tall(susan) [input hypothesis]
62. ! [X0] : (((~brave(X0) & wise(X0)) | (~t... | 0 |
Everyone who is both not rich and not generous is both not kind and wise and vice versa. If someone is happy then paul is both happy and not patient. If someone is both not patient and not curious then lucy is both not brave and quiet and vice versa. Everyone who is either wise or brave is not humble or brave and vice ... | Paul is not humble. | contradiction | (![X]:((~rich(X)&~generous(X))<=>(~kind(X)&wise(X))))&
((?[X]:(happy(X)))=>((happy(paul)&~patient(paul))))&
((?[X]:((~patient(X)&~curious(X))))<=>((~brave(lucy)&quiet(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~humble(X)|brave(X))))&
(![X]:((curious(X)&humble(X))=>(~happy(X)&brave(X))))&
(![X]:((~humble(X)&~happy(X))<=>~... | ~humble(paul) | [
"p1",
"p2",
"p3",
"p5",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5763435867005996874223734
% SZS output start Proof for 5763435867005996874223734
2. ? [X0] : happy(X0) => (~patient(paul) & happy(paul)) [input p1]
3. ? [X0] : (~curious(X0) & ~patient(X0)) <=> (quiet(lucy) & ~brave(lucy)) [input p2]
4. ! [X0] : ((wise(X0) <~> brave(X0)) <=> (brave(X0) | ... | 0 |
If susan is both quiet and patient then someone is not humble and vice versa.
If fred is not tall then someone is not kind or not generous.
Everyone who is not kind is either not patient or old.
Everyone who is strong or funny is both strong and kind.
If someone is either not calm or not rich then someone is not genero... | Alice is kind. | entailment | (((quiet(susan)&patient(susan)))<=>(?[X]:(~humble(X))))&
((~tall(fred))=>(?[X]:((~kind(X)|~generous(X)))))&
(![X]:(~kind(X)=>(~patient(X)<~>old(X))))&
(![X]:((strong(X)|funny(X))=>(strong(X)&kind(X))))&
((?[X]:((~calm(X)<~>~rich(X))))=>(?[X]:(~generous(X))))&
((?[X]:((~calm(X)&creative(X))))=>((humble(mary)&~patient(ma... | kind(alice) | [
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6189408597432579677737012
% SZS output start Proof for 6189408597432579677737012
3. ! [X0] : (~kind(X0) => (~patient(X0) <~> old(X0))) [input p2]
8. ! [X0] : ((old(X0) | ~rich(X0)) <=> ~old(X0)) [input p7]
12. ! [X0] : (~patient(X0) => (quiet(X0) & ~quiet(X0))) [input p11]
24. ~kind(alice... | 0 |
Everyone who is not tall or not creative is either generous or not wise.
If someone is both strong and rich then someone is both not quiet and not generous.
If someone is both curious and not kind then someone is humble and vice versa.
If lucy is either not generous or not old then fred is wise or patient.
Everyone who... | Fred is creative. | entailment | (![X]:((~tall(X)|~creative(X))=>(generous(X)<~>~wise(X))))&
((?[X]:((strong(X)&rich(X))))=>(?[X]:((~quiet(X)&~generous(X)))))&
((?[X]:((curious(X)&~kind(X))))<=>(?[X]:(humble(X))))&
(((~generous(lucy)<~>~old(lucy)))=>((wise(fred)|patient(fred))))&
(![X]:((~happy(X)|generous(X))<=>(generous(X)&~strong(X))))&
(![X]:((qui... | creative(fred) | [
"p0",
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 101794098034956434210768
% SZS output start Proof for 101794098034956434210768
1. ! [X0] : ((~creative(X0) | ~tall(X0)) => (generous(X0) <~> ~wise(X0))) [input p0]
6. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (wise(X0) & ~creative(X0))) [input p5]
7. ! [X0] : (~kind(X0) <=> (~old(X0) <~> ... | 0 |
If someone is not strong then someone is not old and vice versa. If john is both not rich and not quiet then fred is rich or not quiet and vice versa. Everyone who is quiet is wise and vice versa. Everyone who is quiet is either not tall or curious and vice versa. If alice is either curious or kind then someone is both... | Mary is tall. | entailment | ((?[X]:(~strong(X)))<=>(?[X]:(~old(X))))&
(((~rich(john)&~quiet(john)))<=>((rich(fred)|~quiet(fred))))&
(![X]:(quiet(X)<=>wise(X)))&
(![X]:(quiet(X)<=>(~tall(X)<~>curious(X))))&
(((curious(alice)<~>kind(alice)))=>(?[X]:((~funny(X)&~quiet(X)))))&
(((wise(mary)&patient(mary)))<=>(?[X]:((~brave(X)|~calm(X)))))&
(![X]:((~w... | tall(mary) | [
"p2",
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8864308645574734795596674
% SZS output start Proof for 8864308645574734795596674
3. ! [X0] : (quiet(X0) <=> wise(X0)) [input p2]
6. (patient(mary) & wise(mary)) <=> ? [X0] : (~calm(X0) | ~brave(X0)) [input p5]
9. ! [X0] : ((tall(X0) & patient(X0)) <=> (~patient(X0) | quiet(X0))) [input p8... | 0 |
If someone is either not happy or not quiet then someone is not creative or quiet. If someone is kind then john is not old. Everyone who is both humble and not tall is both not curious and not rich and vice versa. Everyone who is either strong or kind is either happy or wise. Everyone who is both kind and strong is eit... | Mary is tall. | entailment | ((?[X]:((~happy(X)<~>~quiet(X))))=>(?[X]:((~creative(X)|quiet(X)))))&
((?[X]:(kind(X)))=>(~old(john)))&
(![X]:((humble(X)&~tall(X))<=>(~curious(X)&~rich(X))))&
(![X]:((strong(X)<~>kind(X))=>(happy(X)<~>wise(X))))&
(![X]:((kind(X)&strong(X))<=>(~strong(X)<~>strong(X))))&
(![X]:((generous(X)<~>funny(X))<=>(curious(X)&qui... | tall(mary) | [
"p2",
"p4",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1005248323180099929929193
% SZS output start Proof for 1005248323180099929929193
3. ! [X0] : ((~tall(X0) & humble(X0)) <=> (~rich(X0) & ~curious(X0))) [input p2]
5. ! [X0] : ((strong(X0) & kind(X0)) <=> (~strong(X0) <~> strong(X0))) [input p4]
8. ! [X0] : (~rich(X0) <=> ~patient(X0)) [inp... | 0 |
If someone is both quiet and not wise then someone is either not brave or curious and vice versa. Everyone who is not humble or tall is happy and vice versa. Everyone who is both not quiet and not brave is either brave or not wise and vice versa. Everyone who is not brave is not old and vice versa. Everyone who is both... | Paul is not quiet. | neutral | ((?[X]:((quiet(X)&~wise(X))))<=>(?[X]:((~brave(X)<~>curious(X)))))&
(![X]:((~humble(X)|tall(X))<=>happy(X)))&
(![X]:((~quiet(X)&~brave(X))<=>(brave(X)<~>~wise(X))))&
(![X]:(~brave(X)<=>~old(X)))&
(![X]:((patient(X)&~curious(X))=>(~quiet(X)&curious(X))))&
((?[X]:((calm(X)&~creative(X))))<=>((brave(susan)<~>funny(susan))... | ~quiet(paul) | [] | null | 0 |
Everyone who is not calm is not old or not creative.
If someone is not curious or rich then someone is not funny and vice versa.
Everyone who is either not quiet or not rich is either old or humble and vice versa.
Everyone who is creative or generous is either not brave or funny.
If someone is rich then mary is not wis... | Susan is curious. | neutral | (![X]:(~calm(X)=>(~old(X)|~creative(X))))&
((?[X]:((~curious(X)|rich(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~quiet(X)<~>~rich(X))<=>(old(X)<~>humble(X))))&
(![X]:((creative(X)|generous(X))=>(~brave(X)<~>funny(X))))&
((?[X]:(rich(X)))<=>(~wise(mary)))&
((?[X]:((~patient(X)&creative(X))))<=>(quiet(susan)))&
(![X]:((generou... | curious(susan) | [] | null | 0 |
If someone is both quiet and calm then paul is creative and vice versa.
If paul is both not funny and not brave then someone is either not funny or not patient.
Everyone who is both generous and not humble is either brave or not funny and vice versa.
If alice is not calm or kind then john is either happy or not happy a... | Susan is not kind. | neutral | ((?[X]:((quiet(X)&calm(X))))<=>(creative(paul)))&
(((~funny(paul)&~brave(paul)))=>(?[X]:((~funny(X)<~>~patient(X)))))&
(![X]:((generous(X)&~humble(X))<=>(brave(X)<~>~funny(X))))&
(((~calm(alice)|kind(alice)))<=>((happy(john)<~>~happy(john))))&
(![X]:((strong(X)|creative(X))<=>~old(X)))&
(![X]:((wise(X)&creative(X))<=>(... | ~kind(susan) | [] | null | 0 |
If alice is either not creative or tall then susan is either not creative or not generous and vice versa.
Everyone who is generous or not happy is both not curious and not funny.
If someone is rich or not humble then someone is humble or calm.
If john is either not old or wise then susan is not rich or not calm.
Everyo... | Paul is not strong. | contradiction | (((~creative(alice)<~>tall(alice)))<=>((~creative(susan)<~>~generous(susan))))&
(![X]:((generous(X)|~happy(X))=>(~curious(X)&~funny(X))))&
((?[X]:((rich(X)|~humble(X))))=>(?[X]:((humble(X)|calm(X)))))&
(((~old(john)<~>wise(john)))=>((~rich(susan)|~calm(susan))))&
(![X]:((~strong(X)<~>~patient(X))=>(creative(X)<~>genero... | ~strong(paul) | [
"p6",
"p7",
"p8",
"p11",
"p12",
"p13",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 916080919255735954310282
% SZS output start Proof for 916080919255735954310282
7. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> wise(X0)) [input p6]
8. ! [X0] : ((~old(X0) & quiet(X0)) <=> quiet(X0)) [input p7]
9. ! [X0] : ((~kind(X0) | old(X0)) <=> (tall(X0) | ~funny(X0))) [input p8]
12. ! [X... | 0 |
If someone is brave then alice is generous or kind and vice versa. Everyone who is both not curious and rich is either happy or creative. Everyone who is strong or kind is both not strong and calm and vice versa. Everyone who is strong is either not wise or generous. If alice is old then someone is both rich and patien... | Alice is not quiet. | neutral | ((?[X]:(brave(X)))<=>((generous(alice)|kind(alice))))&
(![X]:((~curious(X)&rich(X))=>(happy(X)<~>creative(X))))&
(![X]:((strong(X)|kind(X))<=>(~strong(X)&calm(X))))&
(![X]:(strong(X)=>(~wise(X)<~>generous(X))))&
((old(alice))<=>(?[X]:((rich(X)&patient(X)))))&
(![X]:((brave(X)<~>~rich(X))<=>(tall(X)&~quiet(X))))&
(((hum... | ~quiet(alice) | [] | null | 0 |
If someone is strong or calm then paul is not tall or tall and vice versa.
If someone is kind or patient then someone is both rich and happy and vice versa.
If someone is not rich or kind then john is not strong.
If someone is rich then someone is strong or not wise and vice versa.
If mary is curious or not rich then j... | Susan is wise. | entailment | ((?[X]:((strong(X)|calm(X))))<=>((~tall(paul)|tall(paul))))&
((?[X]:((kind(X)|patient(X))))<=>(?[X]:((rich(X)&happy(X)))))&
((?[X]:((~rich(X)|kind(X))))=>(~strong(john)))&
((?[X]:(rich(X)))<=>(?[X]:((strong(X)|~wise(X)))))&
(((curious(mary)|~rich(mary)))<=>((tall(john)&brave(john))))&
(![X]:((kind(X)&~old(X))=>(patient... | wise(susan) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1394444771335774618336662
% SZS output start Proof for 1394444771335774618336662
4. ? [X0] : rich(X0) <=> ? [X0] : (~wise(X0) | strong(X0)) [input p3]
7. ! [X0] : ((rich(X0) | kind(X0)) => ~rich(X0)) [input p6]
22. ~wise(susan) [input hypothesis]
24. ? [X0] : rich(X0) <=> ? [X1] : (~wise(... | 0 |
If john is not kind then paul is either not brave or patient and vice versa.
If someone is both not quiet and strong then someone is not wise or humble.
Everyone who is either not tall or not calm is either not brave or not creative and vice versa.
If someone is not brave or kind then someone is not funny or brave and ... | Paul is not funny. | contradiction | ((~kind(john))<=>((~brave(paul)<~>patient(paul))))&
((?[X]:((~quiet(X)&strong(X))))=>(?[X]:((~wise(X)|humble(X)))))&
(![X]:((~tall(X)<~>~calm(X))<=>(~brave(X)<~>~creative(X))))&
((?[X]:((~brave(X)|kind(X))))<=>(?[X]:((~funny(X)|brave(X)))))&
(![X]:((~funny(X)&brave(X))<=>(creative(X)|~brave(X))))&
(![X]:((~old(X)<~>hap... | ~funny(paul) | [
"p2",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4678674474288483637173344
% SZS output start Proof for 4678674474288483637173344
3. ! [X0] : ((~tall(X0) <~> ~calm(X0)) <=> (~brave(X0) <~> ~creative(X0))) [input p2]
5. ! [X0] : ((brave(X0) & ~funny(X0)) <=> (~brave(X0) | creative(X0))) [input p4]
13. ! [X0] : ((funny(X0) & patient(X0)) ... | 0 |
Everyone who is both not curious and strong is not old or not generous.
If alice is generous then mary is either not kind or brave and vice versa.
If mary is funny or not humble then fred is both not wise and calm and vice versa.
Everyone who is not strong or wise is both not tall and humble.
Everyone who is either not... | Paul is not tall. | entailment | (![X]:((~curious(X)&strong(X))=>(~old(X)|~generous(X))))&
((generous(alice))<=>((~kind(mary)<~>brave(mary))))&
(((funny(mary)|~humble(mary)))<=>((~wise(fred)&calm(fred))))&
(![X]:((~strong(X)|wise(X))=>(~tall(X)&humble(X))))&
(![X]:((~humble(X)<~>~generous(X))<=>(~happy(X)<~>rich(X))))&
(![X]:((humble(X)<~>rich(X))=>ol... | ~tall(paul) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3225843307498894000324399
% SZS output start Proof for 3225843307498894000324399
4. ! [X0] : ((wise(X0) | ~strong(X0)) => (humble(X0) & ~tall(X0))) [input p3]
15. (~curious(paul) & ~strong(paul)) <=> (rich(john) | ~rich(john)) [input p14]
25. tall(paul) [input hypothesis]
30. ! [X0] : ((h... | 0 |
Everyone who is both not curious and tall is either not kind or not curious and vice versa.
Everyone who is both not calm and calm is either patient or strong.
If mary is tall or rich then someone is not old or old.
Everyone who is patient is not humble or tall and vice versa.
If someone is calm or quiet then someone i... | Lucy is curious. | contradiction | (![X]:((~curious(X)&tall(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:((~calm(X)&calm(X))=>(patient(X)<~>strong(X))))&
(((tall(mary)|rich(mary)))=>(?[X]:((~old(X)|old(X)))))&
(![X]:(patient(X)<=>(~humble(X)|tall(X))))&
((?[X]:((calm(X)|quiet(X))))=>(?[X]:((~generous(X)<~>~kind(X)))))&
(![X]:(~humble(X)<=>(~brave(X)|~kind(X)... | curious(lucy) | [
"p0",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5309424881586556913816954
% SZS output start Proof for 5309424881586556913816954
1. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (~kind(X0) <~> ~curious(X0))) [input p0]
11. ! [X0] : ((kind(X0) | tall(X0)) => (~patient(X0) & ~calm(X0))) [input p10]
15. ! [X0] : ((~calm(X0) & calm(X0)) <=> kind... | 0 |
If fred is either curious or not old then paul is either quiet or rich and vice versa.
If someone is generous or not funny then john is not strong.
Everyone who is not kind is not quiet and vice versa.
Everyone who is not wise or not calm is either not generous or not patient.
If fred is either patient or old then paul... | Fred is generous. | contradiction | (((curious(fred)<~>~old(fred)))<=>((quiet(paul)<~>rich(paul))))&
((?[X]:((generous(X)|~funny(X))))=>(~strong(john)))&
(![X]:(~kind(X)<=>~quiet(X)))&
(![X]:((~wise(X)|~calm(X))=>(~generous(X)<~>~patient(X))))&
(((patient(fred)<~>old(fred)))<=>(~funny(paul)))&
((?[X]:((~quiet(X)&~humble(X))))=>((~generous(john)&~funny(jo... | generous(fred) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6525147353994052946757147
% SZS output start Proof for 6525147353994052946757147
2. ? [X0] : (~funny(X0) | generous(X0)) => ~strong(john) [input p1]
8. ! [X0] : ((~curious(X0) | ~strong(X0)) <=> (~humble(X0) & humble(X0))) [input p7]
22. generous(fred) [input hypothesis]
25. ~strong(john)... | 0 |
Everyone who is both generous and not happy is not wise or quiet and vice versa.
Everyone who is not tall or not patient is creative or not kind.
If someone is both not quiet and patient then paul is not quiet or not brave and vice versa.
Everyone who is wise is both not funny and curious.
Everyone who is either not wi... | Fred is patient. | entailment | (![X]:((generous(X)&~happy(X))<=>(~wise(X)|quiet(X))))&
(![X]:((~tall(X)|~patient(X))=>(creative(X)|~kind(X))))&
((?[X]:((~quiet(X)&patient(X))))<=>((~quiet(paul)|~brave(paul))))&
(![X]:(wise(X)=>(~funny(X)&curious(X))))&
(![X]:((~wise(X)<~>~happy(X))=>(~brave(X)<~>~creative(X))))&
(![X]:((~kind(X)|creative(X))=>(funny... | patient(fred) | [
"p1",
"p3",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6433359791383067396267361
% SZS output start Proof for 6433359791383067396267361
2. ! [X0] : ((~patient(X0) | ~tall(X0)) => (~kind(X0) | creative(X0))) [input p1]
4. ! [X0] : (wise(X0) => (curious(X0) & ~funny(X0))) [input p3]
6. ! [X0] : ((creative(X0) | ~kind(X0)) => (wise(X0) & funny(X... | 0 |
If paul is both wise and not humble then lucy is both calm and not old.
Everyone who is both funny and not happy is not old or not kind and vice versa.
If someone is not wise or not calm then someone is wise or not brave.
Everyone who is wise is calm or creative and vice versa.
If someone is not tall or not calm then a... | Fred is funny. | contradiction | (((wise(paul)&~humble(paul)))=>((calm(lucy)&~old(lucy))))&
(![X]:((funny(X)&~happy(X))<=>(~old(X)|~kind(X))))&
((?[X]:((~wise(X)|~calm(X))))=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:(wise(X)<=>(calm(X)|creative(X))))&
((?[X]:((~tall(X)|~calm(X))))=>((~humble(alice)&~patient(alice))))&
((?[X]:((patient(X)<~>creative(X))))<... | funny(fred) | [
"p1",
"p7",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6132372080273741146164260
% SZS output start Proof for 6132372080273741146164260
2. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~kind(X0) | ~old(X0))) [input p1]
8. ! [X0] : (kind(X0) <=> (~wise(X0) & tall(X0))) [input p7]
10. ! [X0] : ((~happy(X0) & ~kind(X0)) => ~funny(X0)) [input p9]
13. !... | 0 |
Everyone who is not old is kind or creative and vice versa.
If lucy is not old or funny then someone is both not humble and humble.
If someone is both not old and not rich then someone is not curious or strong.
Everyone who is patient is quiet and vice versa.
Everyone who is either brave or not tall is not strong.
If s... | Lucy is not funny. | entailment | (![X]:(~old(X)<=>(kind(X)|creative(X))))&
(((~old(lucy)|funny(lucy)))=>(?[X]:((~humble(X)&humble(X)))))&
((?[X]:((~old(X)&~rich(X))))=>(?[X]:((~curious(X)|strong(X)))))&
(![X]:(patient(X)<=>quiet(X)))&
(![X]:((brave(X)<~>~tall(X))=>~strong(X)))&
(((~humble(susan)<~>~creative(susan)))<=>((~wise(paul)<~>~patient(paul))))... | ~funny(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5811330733887140174709943
% SZS output start Proof for 5811330733887140174709943
2. (funny(lucy) | ~old(lucy)) => ? [X0] : (humble(X0) & ~humble(X0)) [input p1]
24. funny(lucy) [input hypothesis]
28. ? [X0] : (humble(X0) & ~humble(X0)) | (~funny(lucy) & old(lucy)) [ennf transformation 2]
... | 0 |
Everyone who is brave or not brave is not quiet and vice versa. If someone is both not kind and not creative then someone is happy or not happy. If lucy is not curious or not kind then fred is both kind and not patient and vice versa. If someone is not calm or rich then paul is either strong or generous and vice versa.... | Alice is not brave. | neutral | (![X]:((brave(X)|~brave(X))<=>~quiet(X)))&
((?[X]:((~kind(X)&~creative(X))))=>(?[X]:((happy(X)|~happy(X)))))&
(((~curious(lucy)|~kind(lucy)))<=>((kind(fred)&~patient(fred))))&
((?[X]:((~calm(X)|rich(X))))<=>((strong(paul)<~>generous(paul))))&
(((~patient(lucy)<~>strong(lucy)))<=>(?[X]:(kind(X))))&
(((~quiet(john)|kind(... | ~brave(alice) | [] | null | 0 |
Everyone who is both quiet and not funny is either curious or not generous and vice versa. Everyone who is both tall and not generous is creative or wise and vice versa. If someone is not generous or not funny then lucy is either not generous or not wise and vice versa. Everyone who is creative is curious or generous a... | Lucy is not humble. | contradiction | (![X]:((quiet(X)&~funny(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((tall(X)&~generous(X))<=>(creative(X)|wise(X))))&
((?[X]:((~generous(X)|~funny(X))))<=>((~generous(lucy)<~>~wise(lucy))))&
(![X]:(creative(X)<=>(curious(X)|generous(X))))&
(![X]:((~funny(X)|rich(X))=>(~patient(X)&~calm(X))))&
(![X]:((creative(X)<~>~bra... | ~humble(lucy) | [
"p1",
"p2",
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 193486614030200002605270
% SZS output start Proof for 193486614030200002605270
2. ! [X0] : ((~generous(X0) & tall(X0)) <=> (wise(X0) | creative(X0))) [input p1]
3. ? [X0] : (~funny(X0) | ~generous(X0)) <=> (~generous(lucy) <~> ~wise(lucy)) [input p2]
4. ! [X0] : (creative(X0) <=> (generou... | 0 |
Everyone who is both not generous and creative is either not patient or not generous and vice versa.
If mary is either strong or not funny then mary is either humble or kind.
If lucy is not old or not funny then lucy is either calm or not funny.
If fred is both funny and not humble then paul is both not rich and quiet ... | Susan is not strong. | entailment | (![X]:((~generous(X)&creative(X))<=>(~patient(X)<~>~generous(X))))&
(((strong(mary)<~>~funny(mary)))=>((humble(mary)<~>kind(mary))))&
(((~old(lucy)|~funny(lucy)))=>((calm(lucy)<~>~funny(lucy))))&
(((funny(fred)&~humble(fred)))<=>((~rich(paul)&quiet(paul))))&
(((humble(alice)&funny(alice)))=>((generous(mary)|creative(ma... | ~strong(susan) | [
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1163381427521201325234838
% SZS output start Proof for 1163381427521201325234838
10. ! [X0] : ((wise(X0) <~> ~wise(X0)) => (~tall(X0) | ~strong(X0))) [input p9]
11. ! [X0] : (tall(X0) <=> ~humble(X0)) [input p10]
20. ~happy(susan) & ~humble(susan) [input p19]
24. strong(susan) [input hypo... | 0 |
If someone is both not patient and not calm then susan is either funny or kind and vice versa.
Everyone who is either not generous or not old is tall and vice versa.
Everyone who is not rich is either strong or wise and vice versa.
Everyone who is either not calm or not creative is brave or funny and vice versa.
If som... | Lucy is not wise. | contradiction | ((?[X]:((~patient(X)&~calm(X))))<=>((funny(susan)<~>kind(susan))))&
(![X]:((~generous(X)<~>~old(X))<=>tall(X)))&
(![X]:(~rich(X)<=>(strong(X)<~>wise(X))))&
(![X]:((~calm(X)<~>~creative(X))<=>(brave(X)|funny(X))))&
((?[X]:((happy(X)<~>~curious(X))))=>(?[X]:((~brave(X)&strong(X)))))&
(![X]:((~creative(X)&quiet(X))<=>~tal... | ~wise(lucy) | [
"p5",
"p8",
"p11",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 203489394035779453613205
% SZS output start Proof for 203489394035779453613205
6. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> ~tall(X0)) [input p5]
9. ! [X0] : (~curious(X0) <=> (generous(X0) | quiet(X0))) [input p8]
12. ? [X0] : ~strong(X0) => ~tall(lucy) [input p11]
15. ! [X0] : ((~curiou... | 0 |
Everyone who is both not happy and not funny is not creative and vice versa. Everyone who is both not patient and humble is not patient or wise and vice versa. Everyone who is both not brave and tall is patient. If someone is generous then fred is either not quiet or generous. If lucy is wise or tall then someone is no... | Mary is not kind. | entailment | (![X]:((~happy(X)&~funny(X))<=>~creative(X)))&
(![X]:((~patient(X)&humble(X))<=>(~patient(X)|wise(X))))&
(![X]:((~brave(X)&tall(X))=>patient(X)))&
((?[X]:(generous(X)))=>((~quiet(fred)<~>generous(fred))))&
(((wise(lucy)|tall(lucy)))=>(?[X]:((~creative(X)|~brave(X)))))&
(((quiet(mary)|~old(mary)))=>(?[X]:(curious(X))))&... | ~kind(mary) | [
"p1",
"p6",
"p7",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1610342487380760401368512
% SZS output start Proof for 1610342487380760401368512
2. ! [X0] : ((humble(X0) & ~patient(X0)) <=> (wise(X0) | ~patient(X0))) [input p1]
7. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (~old(X0) & ~quiet(X0))) [input p6]
8. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (~t... | 0 |
If someone is brave then lucy is not kind or not tall and vice versa. Everyone who is both brave and wise is either rich or not curious. Everyone who is either rich or strong is either not rich or quiet and vice versa. If someone is both creative and not rich then alice is either not funny or strong and vice versa. Eve... | Alice is creative. | entailment | ((?[X]:(brave(X)))<=>((~kind(lucy)|~tall(lucy))))&
(![X]:((brave(X)&wise(X))=>(rich(X)<~>~curious(X))))&
(![X]:((rich(X)<~>strong(X))<=>(~rich(X)<~>quiet(X))))&
((?[X]:((creative(X)&~rich(X))))<=>((~funny(alice)<~>strong(alice))))&
(![X]:((tall(X)&happy(X))<=>(funny(X)&tall(X))))&
((?[X]:((~old(X)<~>~quiet(X))))<=>((ge... | creative(alice) | [
"p9",
"p13",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 822252894975422021762990
% SZS output start Proof for 822252894975422021762990
10. ! [X0] : (~patient(X0) <=> (curious(X0) & ~tall(X0))) [input p9]
14. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (curious(X0) <~> creative(X0))) [input p13]
17. quiet(alice) <~> ~curious(alice) [input p16]
24... | 0 |
Everyone who is both humble and tall is both not generous and not creative.
Everyone who is happy or not rich is not calm.
Everyone who is brave or not tall is brave or strong and vice versa.
If someone is creative then someone is both calm and not calm and vice versa.
Everyone who is quiet is funny or patient.
Everyon... | John is not happy. | neutral | (![X]:((humble(X)&tall(X))=>(~generous(X)&~creative(X))))&
(![X]:((happy(X)|~rich(X))=>~calm(X)))&
(![X]:((brave(X)|~tall(X))<=>(brave(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>brave(X)... | ~happy(john) | [] | null | 0 |
If someone is both not curious and creative then someone is either not calm or creative. If someone is not humble then someone is either not funny or not humble. If john is either curious or not creative then someone is either not generous or brave and vice versa. If someone is either brave or not quiet then fred is ei... | Fred is not rich. | contradiction | ((?[X]:((~curious(X)&creative(X))))=>(?[X]:((~calm(X)<~>creative(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((~funny(X)<~>~humble(X)))))&
(((curious(john)<~>~creative(john)))<=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[X]:((brave(X)<~>~quiet(X))))<=>((~funny(fred)<~>~humble(fred))))&
(![X]:((~wise(X)&generous(X))=>(rich(X)<~>~... | ~rich(fred) | [
"p4",
"p5",
"p6",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2778550964599838467584138
% SZS output start Proof for 2778550964599838467584138
5. ! [X0] : ((generous(X0) & ~wise(X0)) => (rich(X0) <~> ~curious(X0))) [input p4]
6. ? [X0] : (~calm(X0) | calm(X0)) <=> (~generous(lucy) & creative(lucy)) [input p5]
7. ? [X0] : (~curious(X0) | ~generous(X0... | 0 |
Everyone who is not wise is both not humble and not happy and vice versa.
If someone is rich or not humble then someone is not brave or tall.
Everyone who is not strong is patient and vice versa.
If someone is either patient or kind then someone is not happy or quiet and vice versa.
If fred is not generous or not happy... | Susan is not rich. | contradiction | (![X]:(~wise(X)<=>(~humble(X)&~happy(X))))&
((?[X]:((rich(X)|~humble(X))))=>(?[X]:((~brave(X)|tall(X)))))&
(![X]:(~strong(X)<=>patient(X)))&
((?[X]:((patient(X)<~>kind(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
(((~generous(fred)|~happy(fred)))=>(?[X]:((tall(X)|~rich(X)))))&
(![X]:(creative(X)=>(wise(X)|generous(X))))&
(!... | ~rich(susan) | [
"p0",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5269099356383451090536964
% SZS output start Proof for 5269099356383451090536964
1. ! [X0] : (~wise(X0) <=> (~happy(X0) & ~humble(X0))) [input p0]
8. ! [X0] : (~humble(X0) => (happy(X0) | rich(X0))) [input p7]
14. ! [X0] : ((wise(X0) <~> patient(X0)) <=> patient(X0)) [input p13]
22. ~rich... | 0 |
If john is both not old and not calm then susan is either not quiet or generous.
Everyone who is not quiet or not curious is not wise and vice versa.
Everyone who is curious or old is not creative or wise and vice versa.
If susan is either calm or not brave then someone is patient or not tall.
If someone is both old an... | Mary is not calm. | neutral | (((~old(john)&~calm(john)))=>((~quiet(susan)<~>generous(susan))))&
(![X]:((~quiet(X)|~curious(X))<=>~wise(X)))&
(![X]:((curious(X)|old(X))<=>(~creative(X)|wise(X))))&
(((calm(susan)<~>~brave(susan)))=>(?[X]:((patient(X)|~tall(X)))))&
((?[X]:((old(X)&~kind(X))))=>(~generous(mary)))&
(![X]:((~brave(X)&kind(X))<=>(creativ... | ~calm(mary) | [] | null | 0 |
Everyone who is not kind or not tall is patient or old. If paul is either not calm or calm then someone is not funny and vice versa. If susan is not curious then alice is not funny or not quiet and vice versa. If paul is not strong then someone is either not creative or not strong and vice versa. Everyone who is not cr... | Alice is not quiet. | neutral | (![X]:((~kind(X)|~tall(X))=>(patient(X)|old(X))))&
(((~calm(paul)<~>calm(paul)))<=>(?[X]:(~funny(X))))&
((~curious(susan))<=>((~funny(alice)|~quiet(alice))))&
((~strong(paul))<=>(?[X]:((~creative(X)<~>~strong(X)))))&
(![X]:((~creative(X)|~funny(X))<=>brave(X)))&
((brave(fred))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)&pat... | ~quiet(alice) | [] | null | 0 |
Everyone who is either strong or rich is not quiet and vice versa.
Everyone who is both creative and tall is both calm and rich and vice versa.
If someone is either funny or not curious then lucy is both not funny and old and vice versa.
If susan is both rich and curious then paul is either calm or not generous and vic... | Lucy is not curious. | entailment | (![X]:((strong(X)<~>rich(X))<=>~quiet(X)))&
(![X]:((creative(X)&tall(X))<=>(calm(X)&rich(X))))&
((?[X]:((funny(X)<~>~curious(X))))<=>((~funny(lucy)&old(lucy))))&
(((rich(susan)&curious(susan)))<=>((calm(paul)<~>~generous(paul))))&
(![X]:((curious(X)<~>~generous(X))<=>(rich(X)|~brave(X))))&
(![X]:((humble(X)&kind(X))=>(... | ~curious(lucy) | [
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6769318164324355137869232
% SZS output start Proof for 6769318164324355137869232
3. ? [X0] : (funny(X0) <~> ~curious(X0)) <=> (old(lucy) & ~funny(lucy)) [input p2]
18. funny(lucy) [input p17]
24. curious(lucy) [input hypothesis]
44. (? [X0] : ((curious(X0) | ~funny(X0)) & (~curious(X0) | ... | 0 |
If fred is both old and not wise then lucy is both not happy and not creative and vice versa.
Everyone who is either happy or quiet is quiet and vice versa.
Everyone who is both patient and not creative is not happy.
If mary is not wise or not patient then someone is both not tall and old.
Everyone who is happy or not ... | Paul is generous. | contradiction | (((old(fred)&~wise(fred)))<=>((~happy(lucy)&~creative(lucy))))&
(![X]:((happy(X)<~>quiet(X))<=>quiet(X)))&
(![X]:((patient(X)&~creative(X))=>~happy(X)))&
(((~wise(mary)|~patient(mary)))=>(?[X]:((~tall(X)&old(X)))))&
(![X]:((happy(X)|~strong(X))=>(old(X)&strong(X))))&
(![X]:((old(X)|creative(X))=>~generous(X)))&
(![X]:(... | generous(paul) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7930018148440533847420204
% SZS output start Proof for 7930018148440533847420204
6. ! [X0] : ((creative(X0) | old(X0)) => ~generous(X0)) [input p5]
7. ! [X0] : (generous(X0) => (~curious(X0) & creative(X0))) [input p6]
23. generous(paul) [input hypothesis]
30. ! [X0] : (~generous(X0) | (~... | 0 |
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