premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is kind then someone is not kind or curious.
Everyone who is both not wise and quiet is both not quiet and not rich.
Everyone who is not rich or not happy is not happy or tall.
Everyone who is generous or kind is both not kind and creative.
If someone is both not calm and not funny then someone is humble or ... | Lucy is not creative. | contradiction | ((?[X]:(kind(X)))=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:((~wise(X)&quiet(X))=>(~quiet(X)&~rich(X))))&
(![X]:((~rich(X)|~happy(X))=>(~happy(X)|tall(X))))&
(![X]:((generous(X)|kind(X))=>(~kind(X)&creative(X))))&
((?[X]:((~calm(X)&~funny(X))))=>(?[X]:((humble(X)|~funny(X)))))&
((?[X]:((wise(X)|~tall(X))))=>(humble(lucy)... | ~creative(lucy) | [
"p1",
"p3",
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3929972866800707751877849
% SZS output start Proof for 3929972866800707751877849
2. ! [X0] : ((quiet(X0) & ~wise(X0)) => (~rich(X0) & ~quiet(X0))) [input p1]
4. ! [X0] : ((kind(X0) | generous(X0)) => (creative(X0) & ~kind(X0))) [input p3]
9. ! [X0] : ((~quiet(X0) & ~creative(X0)) => (tall... | 0 |
If susan is either not calm or not rich then john is both not old and not creative and vice versa.
If someone is either not wise or not tall then mary is funny or brave and vice versa.
Everyone who is strong or quiet is not tall and vice versa.
If mary is both not rich and not kind then susan is either not strong or no... | Susan is old. | entailment | (((~calm(susan)<~>~rich(susan)))<=>((~old(john)&~creative(john))))&
((?[X]:((~wise(X)<~>~tall(X))))<=>((funny(mary)|brave(mary))))&
(![X]:((strong(X)|quiet(X))<=>~tall(X)))&
(((~rich(mary)&~kind(mary)))<=>((~strong(susan)<~>~rich(susan))))&
(![X]:((~tall(X)<~>strong(X))<=>(~calm(X)|tall(X))))&
((?[X]:((kind(X)|~strong(... | old(susan) | [
"p2",
"p3",
"p4",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4425378817115741660667418
% SZS output start Proof for 4425378817115741660667418
3. ! [X0] : ((quiet(X0) | strong(X0)) <=> ~tall(X0)) [input p2]
4. (~kind(mary) & ~rich(mary)) <=> (~strong(susan) <~> ~rich(susan)) [input p3]
5. ! [X0] : ((~tall(X0) <~> strong(X0)) <=> (tall(X0) | ~calm(X0... | 0 |
Everyone who is either not old or not curious is either funny or brave and vice versa.
Everyone who is either not kind or not strong is either not patient or not tall and vice versa.
Everyone who is both not tall and happy is not curious or not funny and vice versa.
If someone is both not old and old then susan is eith... | Lucy is not quiet. | neutral | (![X]:((~old(X)<~>~curious(X))<=>(funny(X)<~>brave(X))))&
(![X]:((~kind(X)<~>~strong(X))<=>(~patient(X)<~>~tall(X))))&
(![X]:((~tall(X)&happy(X))<=>(~curious(X)|~funny(X))))&
((?[X]:((~old(X)&old(X))))=>((curious(susan)<~>~happy(susan))))&
(![X]:((~kind(X)<~>~wise(X))=>~creative(X)))&
(((~patient(mary)<~>~strong(mary))... | ~quiet(lucy) | [] | null | 0 |
Everyone who is either not curious or funny is both patient and not generous and vice versa.
Everyone who is both quiet and wise is both strong and not curious.
If alice is not happy or strong then john is not rich or wise.
If someone is either not kind or not brave then someone is either not patient or rich.
If someon... | Mary is not quiet. | entailment | (![X]:((~curious(X)<~>funny(X))<=>(patient(X)&~generous(X))))&
(![X]:((quiet(X)&wise(X))=>(strong(X)&~curious(X))))&
(((~happy(alice)|strong(alice)))=>((~rich(john)|wise(john))))&
((?[X]:((~kind(X)<~>~brave(X))))=>(?[X]:((~patient(X)<~>rich(X)))))&
((?[X]:((humble(X)<~>happy(X))))<=>((~strong(fred)&kind(fred))))&
((qui... | ~quiet(mary) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3908258856984294434256934
% SZS output start Proof for 3908258856984294434256934
9. ! [X0] : ((strong(X0) & ~quiet(X0)) <=> kind(X0)) [input p8]
10. ? [X0] : (~kind(X0) | brave(X0)) <=> (~happy(mary) & happy(mary)) [input p9]
24. quiet(mary) [input hypothesis]
51. ! [X0] : (((strong(X0) &... | 0 |
Everyone who is either funny or not old is not patient. Everyone who is not calm is either not old or humble and vice versa. If alice is both not funny and not wise then someone is generous. Everyone who is strong or humble is not funny and vice versa. If susan is happy or not creative then someone is patient and vice ... | Mary is not funny. | entailment | (![X]:((funny(X)<~>~old(X))=>~patient(X)))&
(![X]:(~calm(X)<=>(~old(X)<~>humble(X))))&
(((~funny(alice)&~wise(alice)))=>(?[X]:(generous(X))))&
(![X]:((strong(X)|humble(X))<=>~funny(X)))&
(((happy(susan)|~creative(susan)))<=>(?[X]:(patient(X))))&
(![X]:((~tall(X)<~>curious(X))=>(~generous(X)|~happy(X))))&
((?[X]:((patie... | ~funny(mary) | [
"p0",
"p5",
"p13",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4576304922269197367771354
% SZS output start Proof for 4576304922269197367771354
1. ! [X0] : ((funny(X0) <~> ~old(X0)) => ~patient(X0)) [input p0]
6. ! [X0] : ((~tall(X0) <~> curious(X0)) => (~happy(X0) | ~generous(X0))) [input p5]
14. ! [X0] : ((old(X0) | ~tall(X0)) <=> curious(X0)) [inp... | 0 |
Everyone who is either old or not old is either humble or kind and vice versa.
Everyone who is not kind is both brave and creative and vice versa.
Everyone who is both strong and not strong is both not kind and not strong and vice versa.
Everyone who is either not funny or not curious is either strong or quiet and vice... | Susan is happy. | neutral | (![X]:((old(X)<~>~old(X))<=>(humble(X)<~>kind(X))))&
(![X]:(~kind(X)<=>(brave(X)&creative(X))))&
(![X]:((strong(X)&~strong(X))<=>(~kind(X)&~strong(X))))&
(![X]:((~funny(X)<~>~curious(X))<=>(strong(X)<~>quiet(X))))&
((?[X]:(~old(X)))=>(humble(lucy)))&
((?[X]:(funny(X)))<=>(?[X]:((patient(X)<~>kind(X)))))&
(![X]:((brave(... | happy(susan) | [] | null | 0 |
Everyone who is both quiet and calm is not curious or not rich and vice versa. If susan is curious then susan is not creative or not quiet and vice versa. If paul is kind then mary is both not quiet and old. Everyone who is not kind or not strong is either quiet or tall. If someone is not happy then mary is wise and vi... | Paul is not old. | contradiction | (![X]:((quiet(X)&calm(X))<=>(~curious(X)|~rich(X))))&
((curious(susan))<=>((~creative(susan)|~quiet(susan))))&
((kind(paul))=>((~quiet(mary)&old(mary))))&
(![X]:((~kind(X)|~strong(X))=>(quiet(X)<~>tall(X))))&
((?[X]:(~happy(X)))<=>(wise(mary)))&
(![X]:(~creative(X)<=>(~happy(X)&~brave(X))))&
(![X]:((~quiet(X)<~>rich(X)... | ~old(paul) | [
"p0",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8246030287291086038212538
% SZS output start Proof for 8246030287291086038212538
1. ! [X0] : ((calm(X0) & quiet(X0)) <=> (~rich(X0) | ~curious(X0))) [input p0]
10. ! [X0] : ((~curious(X0) <~> patient(X0)) <=> wise(X0)) [input p9]
14. ! [X0] : ((curious(X0) <~> ~old(X0)) => (patient(X0) & ... | 0 |
If paul is either not patient or happy then lucy is creative and vice versa. Everyone who is humble is both not rich and not patient. If fred is not strong then someone is brave or not calm. Everyone who is wise or brave is both not brave and not kind. Everyone who is both not old and calm is both not brave and not str... | John is brave. | contradiction | (((~patient(paul)<~>happy(paul)))<=>(creative(lucy)))&
(![X]:(humble(X)=>(~rich(X)&~patient(X))))&
((~strong(fred))=>(?[X]:((brave(X)|~calm(X)))))&
(![X]:((wise(X)|brave(X))=>(~brave(X)&~kind(X))))&
(![X]:((~old(X)&calm(X))=>(~brave(X)&~strong(X))))&
(![X]:((quiet(X)|~strong(X))<=>~wise(X)))&
(((creative(john)&~calm(jo... | brave(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2436686780419764299637374
% SZS output start Proof for 2436686780419764299637374
4. ! [X0] : ((brave(X0) | wise(X0)) => (~kind(X0) & ~brave(X0))) [input p3]
25. brave(john) [input hypothesis]
31. ! [X0] : ((~kind(X0) & ~brave(X0)) | (~brave(X0) & ~wise(X0))) [ennf transformation 4]
71. ~b... | 0 |
If lucy is either curious or not patient then someone is strong or generous and vice versa.
Everyone who is not calm or quiet is either curious or kind.
If someone is wise then lucy is wise and vice versa.
Everyone who is both not tall and not humble is both not wise and not creative and vice versa.
Everyone who is not... | Mary is brave. | contradiction | (((curious(lucy)<~>~patient(lucy)))<=>(?[X]:((strong(X)|generous(X)))))&
(![X]:((~calm(X)|quiet(X))=>(curious(X)<~>kind(X))))&
((?[X]:(wise(X)))<=>(wise(lucy)))&
(![X]:((~tall(X)&~humble(X))<=>(~wise(X)&~creative(X))))&
(![X]:(~patient(X)<=>(generous(X)&humble(X))))&
((?[X]:((~brave(X)&~calm(X))))<=>(?[X]:((~brave(X)<~... | brave(mary) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1376260893851005791801335
% SZS output start Proof for 1376260893851005791801335
2. ! [X0] : ((quiet(X0) | ~calm(X0)) => (curious(X0) <~> kind(X0))) [input p1]
3. ? [X0] : wise(X0) <=> wise(lucy) [input p2]
4. ! [X0] : ((~humble(X0) & ~tall(X0)) <=> (~creative(X0) & ~wise(X0))) [input p3]... | 0 |
Everyone who is not kind is generous and vice versa.
If someone is rich then someone is not funny.
Everyone who is both not calm and not generous is not brave or quiet.
If alice is either not wise or strong then paul is both brave and creative.
Everyone who is both calm and patient is both not generous and not patient.... | Mary is not funny. | neutral | (![X]:(~kind(X)<=>generous(X)))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(![X]:((~calm(X)&~generous(X))=>(~brave(X)|quiet(X))))&
(((~wise(alice)<~>strong(alice)))=>((brave(paul)&creative(paul))))&
(![X]:((calm(X)&patient(X))=>(~generous(X)&~patient(X))))&
(![X]:((kind(X)|~strong(X))=>(quiet(X)&~happy(X))))&
(((~old(mar... | ~funny(mary) | [] | null | 0 |
If someone is not kind then john is either kind or brave and vice versa. If paul is both generous and not quiet then someone is both not happy and wise and vice versa. If susan is either kind or tall then lucy is either rich or generous. Everyone who is quiet is both not generous and calm. If someone is either not old ... | John is not patient. | neutral | ((?[X]:(~kind(X)))<=>((kind(john)<~>brave(john))))&
(((generous(paul)&~quiet(paul)))<=>(?[X]:((~happy(X)&wise(X)))))&
(((kind(susan)<~>tall(susan)))=>((rich(lucy)<~>generous(lucy))))&
(![X]:(quiet(X)=>(~generous(X)&calm(X))))&
((?[X]:((~old(X)<~>happy(X))))<=>((~calm(mary)&generous(mary))))&
(![X]:((quiet(X)<~>~funny(X... | ~patient(john) | [] | null | 0 |
Everyone who is patient is not old and vice versa.
Everyone who is not calm or generous is not rich or not humble and vice versa.
Everyone who is not strong is both happy and quiet.
Everyone who is funny is not calm and vice versa.
Everyone who is wise is both not patient and not curious and vice versa.
Everyone who is... | Lucy is rich. | neutral | (![X]:(patient(X)<=>~old(X)))&
(![X]:((~calm(X)|generous(X))<=>(~rich(X)|~humble(X))))&
(![X]:(~strong(X)=>(happy(X)&quiet(X))))&
(![X]:(funny(X)<=>~calm(X)))&
(![X]:(wise(X)<=>(~patient(X)&~curious(X))))&
(![X]:((humble(X)&~strong(X))<=>strong(X)))&
((?[X]:((~curious(X)<~>patient(X))))=>((generous(lucy)|~calm(lucy))))... | rich(lucy) | [] | null | 0 |
If susan is not strong then someone is either old or not patient.
If someone is either not creative or happy then someone is happy or not old.
Everyone who is either not strong or funny is quiet and vice versa.
If someone is either brave or old then fred is not strong or creative.
If mary is not tall or not generous th... | Mary is curious. | entailment | ((~strong(susan))=>(?[X]:((old(X)<~>~patient(X)))))&
((?[X]:((~creative(X)<~>happy(X))))=>(?[X]:((happy(X)|~old(X)))))&
(![X]:((~strong(X)<~>funny(X))<=>quiet(X)))&
((?[X]:((brave(X)<~>old(X))))=>((~strong(fred)|creative(fred))))&
(((~tall(mary)|~generous(mary)))=>(?[X]:((brave(X)<~>calm(X)))))&
(![X]:(~brave(X)<=>(wis... | curious(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2445174568948972313468588
% SZS output start Proof for 2445174568948972313468588
16. ! [X0] : ((funny(X0) <~> curious(X0)) <=> ~funny(X0)) [input p15]
25. ~curious(mary) [input hypothesis]
81. ! [X0] : ((((~curious(X0) | ~funny(X0)) & (curious(X0) | funny(X0))) | funny(X0)) & (~funny(X0) ... | 0 |
If alice is both not brave and quiet then alice is both not calm and creative. Everyone who is not quiet is not strong and vice versa. If someone is not creative then alice is either not strong or old. If someone is either calm or quiet then lucy is not generous. Everyone who is either rich or not brave is both humble ... | Mary is not quiet. | entailment | (((~brave(alice)&quiet(alice)))=>((~calm(alice)&creative(alice))))&
(![X]:(~quiet(X)<=>~strong(X)))&
((?[X]:(~creative(X)))=>((~strong(alice)<~>old(alice))))&
((?[X]:((calm(X)<~>quiet(X))))=>(~generous(lucy)))&
(![X]:((rich(X)<~>~brave(X))=>(humble(X)&~creative(X))))&
(((old(fred)|~humble(fred)))=>((generous(susan)<~>c... | ~quiet(mary) | [
"p1",
"p7",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4801833732545574654667539
% SZS output start Proof for 4801833732545574654667539
2. ! [X0] : (~quiet(X0) <=> ~strong(X0)) [input p1]
8. ! [X0] : ((brave(X0) <~> ~happy(X0)) => (~rich(X0) & ~wise(X0))) [input p7]
10. ! [X0] : ((~strong(X0) | rich(X0)) <=> (~kind(X0) <~> kind(X0))) [input p... | 0 |
Everyone who is wise or quiet is both happy and patient and vice versa.
Everyone who is rich is either calm or not brave.
Everyone who is either not old or not kind is not wise.
Everyone who is not calm is both not wise and not kind.
Everyone who is both happy and not wise is both rich and not humble.
Everyone who is f... | Fred is not patient. | contradiction | (![X]:((wise(X)|quiet(X))<=>(happy(X)&patient(X))))&
(![X]:(rich(X)=>(calm(X)<~>~brave(X))))&
(![X]:((~old(X)<~>~kind(X))=>~wise(X)))&
(![X]:(~calm(X)=>(~wise(X)&~kind(X))))&
(![X]:((happy(X)&~wise(X))=>(rich(X)&~humble(X))))&
(![X]:((funny(X)|brave(X))=>(~calm(X)&calm(X))))&
((?[X]:((rich(X)<~>curious(X))))<=>((funny(... | ~patient(fred) | [
"p1",
"p3",
"p5",
"p6",
"p7",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4708376964713014514325776
% SZS output start Proof for 4708376964713014514325776
2. ! [X0] : (rich(X0) => (calm(X0) <~> ~brave(X0))) [input p1]
4. ! [X0] : (~calm(X0) => (~kind(X0) & ~wise(X0))) [input p3]
6. ! [X0] : ((brave(X0) | funny(X0)) => (calm(X0) & ~calm(X0))) [input p5]
7. ? [X0... | 0 |
Everyone who is not curious or old is not wise.
Everyone who is both funny and not wise is not old and vice versa.
Everyone who is calm or not happy is quiet or funny and vice versa.
Everyone who is brave or not old is both humble and quiet and vice versa.
If someone is not tall or creative then someone is either not c... | Fred is not happy. | entailment | (![X]:((~curious(X)|old(X))=>~wise(X)))&
(![X]:((funny(X)&~wise(X))<=>~old(X)))&
(![X]:((calm(X)|~happy(X))<=>(quiet(X)|funny(X))))&
(![X]:((brave(X)|~old(X))<=>(humble(X)&quiet(X))))&
((?[X]:((~tall(X)|creative(X))))=>(?[X]:((~curious(X)<~>calm(X)))))&
((?[X]:(~curious(X)))<=>(curious(alice)))&
((?[X]:(~rich(X)))=>((~... | ~happy(fred) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p10",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4622463219540654974205748
% SZS output start Proof for 4622463219540654974205748
1. ! [X0] : ((old(X0) | ~curious(X0)) => ~wise(X0)) [input p0]
2. ! [X0] : ((~wise(X0) & funny(X0)) <=> ~old(X0)) [input p1]
3. ! [X0] : ((~happy(X0) | calm(X0)) <=> (funny(X0) | quiet(X0))) [input p2]
4. ! [... | 0 |
If someone is kind then alice is curious and vice versa. Everyone who is tall is not happy or wise and vice versa. Everyone who is not rich or strong is happy. Everyone who is either not creative or generous is not creative. Everyone who is not patient is not brave or brave and vice versa. Everyone who is not brave or ... | Mary is old. | neutral | ((?[X]:(kind(X)))<=>(curious(alice)))&
(![X]:(tall(X)<=>(~happy(X)|wise(X))))&
(![X]:((~rich(X)|strong(X))=>happy(X)))&
(![X]:((~creative(X)<~>generous(X))=>~creative(X)))&
(![X]:(~patient(X)<=>(~brave(X)|brave(X))))&
(![X]:((~brave(X)|~strong(X))<=>(brave(X)|~rich(X))))&
((?[X]:((~old(X)&wise(X))))<=>((quiet(mary)<~>~... | old(mary) | [] | null | 0 |
If someone is either calm or not curious then someone is either not brave or not wise and vice versa.
Everyone who is both calm and brave is strong.
Everyone who is not rich is both not brave and not humble.
If susan is either quiet or not wise then alice is not rich or strong and vice versa.
If someone is either patie... | Lucy is kind. | entailment | ((?[X]:((calm(X)<~>~curious(X))))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(![X]:((calm(X)&brave(X))=>strong(X)))&
(![X]:(~rich(X)=>(~brave(X)&~humble(X))))&
(((quiet(susan)<~>~wise(susan)))<=>((~rich(alice)|strong(alice))))&
((?[X]:((patient(X)<~>kind(X))))=>(?[X]:((~happy(X)&happy(X)))))&
(![X]:(~calm(X)<=>(humble(X)<~>pa... | kind(lucy) | [
"p1",
"p4",
"p5",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3241957958371462022487908
% SZS output start Proof for 3241957958371462022487908
2. ! [X0] : ((brave(X0) & calm(X0)) => strong(X0)) [input p1]
5. ? [X0] : (patient(X0) <~> kind(X0)) => ? [X0] : (happy(X0) & ~happy(X0)) [input p4]
6. ! [X0] : (~calm(X0) <=> (humble(X0) <~> patient(X0))) [i... | 0 |
Everyone who is generous is either old or not calm and vice versa.
Everyone who is not old is both quiet and strong.
If someone is either rich or kind then john is either kind or wise.
Everyone who is patient or not happy is calm and vice versa.
If alice is calm then someone is wise.
Everyone who is rich or creative is... | John is rich. | contradiction | (![X]:(generous(X)<=>(old(X)<~>~calm(X))))&
(![X]:(~old(X)=>(quiet(X)&strong(X))))&
((?[X]:((rich(X)<~>kind(X))))=>((kind(john)<~>wise(john))))&
(![X]:((patient(X)|~happy(X))<=>calm(X)))&
((calm(alice))=>(?[X]:(wise(X))))&
(![X]:((rich(X)|creative(X))=>happy(X)))&
((?[X]:((creative(X)<~>~generous(X))))<=>((~curious(mar... | rich(john) | [
"p1",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2172946767341809287175390
% SZS output start Proof for 2172946767341809287175390
2. ! [X0] : (~old(X0) => (strong(X0) & quiet(X0))) [input p1]
8. ! [X0] : ((rich(X0) | brave(X0)) => ~quiet(X0)) [input p7]
11. ! [X0] : ((curious(X0) & ~old(X0)) <=> (rich(X0) | ~quiet(X0))) [input p10]
23. ... | 0 |
Everyone who is both strong and quiet is not curious or not creative and vice versa.
If someone is both tall and not kind then alice is strong and vice versa.
If someone is not rich then someone is both not curious and quiet.
Everyone who is not kind is both kind and tall and vice versa.
Everyone who is humble or quiet... | Alice is not curious. | contradiction | (![X]:((strong(X)&quiet(X))<=>(~curious(X)|~creative(X))))&
((?[X]:((tall(X)&~kind(X))))<=>(strong(alice)))&
((?[X]:(~rich(X)))=>(?[X]:((~curious(X)&quiet(X)))))&
(![X]:(~kind(X)<=>(kind(X)&tall(X))))&
(![X]:((humble(X)|quiet(X))=>(~rich(X)<~>~strong(X))))&
(![X]:(~humble(X)=>(curious(X)<~>quiet(X))))&
((~kind(fred))<=... | ~curious(alice) | [
"p0",
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1801511435815869805604472
% SZS output start Proof for 1801511435815869805604472
1. ! [X0] : ((quiet(X0) & strong(X0)) <=> (~creative(X0) | ~curious(X0))) [input p0]
2. ? [X0] : (~kind(X0) & tall(X0)) <=> strong(alice) [input p1]
4. ! [X0] : (~kind(X0) <=> (tall(X0) & kind(X0))) [input p3... | 0 |
If someone is not brave or funny then someone is not brave.
If mary is not strong or strong then john is calm or generous.
Everyone who is both not happy and tall is either not humble or not old.
If mary is not rich then someone is both not happy and old.
Everyone who is generous is both strong and not patient.
Everyon... | John is strong. | entailment | ((?[X]:((~brave(X)|funny(X))))=>(?[X]:(~brave(X))))&
(((~strong(mary)|strong(mary)))=>((calm(john)|generous(john))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:(generous(X)=>(strong(X)&~patient(X))))&
(![X]:((quiet(X)|kind(X))<=>(happy(X)|funny(X))))&
(![X... | strong(john) | [
"p5",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7453724499578637795864639
% SZS output start Proof for 7453724499578637795864639
6. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0) | happy(X0))) [input p5]
10. ! [X0] : (~quiet(X0) <=> (funny(X0) & creative(X0))) [input p9]
14. ! [X0] : ((quiet(X0) | kind(X0)) <=> (patient(X0) & strong(X... | 0 |
Everyone who is not happy or not curious is both patient and old and vice versa.
Everyone who is not generous or not quiet is not brave or happy and vice versa.
Everyone who is both not wise and not quiet is brave or kind.
Everyone who is either funny or not quiet is not funny and vice versa.
Everyone who is creative i... | Paul is not wise. | contradiction | (![X]:((~happy(X)|~curious(X))<=>(patient(X)&old(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(~brave(X)|happy(X))))&
(![X]:((~wise(X)&~quiet(X))=>(brave(X)|kind(X))))&
(![X]:((funny(X)<~>~quiet(X))<=>~funny(X)))&
(![X]:(creative(X)<=>(~brave(X)<~>~creative(X))))&
(![X]:(~calm(X)=>(curious(X)<~>~quiet(X))))&
(![X]:((calm(X... | ~wise(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6633085997312498765297030
% SZS output start Proof for 6633085997312498765297030
9. ! [X0] : ((old(X0) & ~old(X0)) <=> ~wise(X0)) [input p8]
25. ~wise(paul) [input hypothesis]
47. ! [X0] : (((old(X0) & ~old(X0)) | wise(X0)) & (~wise(X0) | (~old(X0) | old(X0)))) [nnf transformation 9]
48. ... | 0 |
If paul is happy or not wise then someone is curious or not old.
If someone is both not brave and not curious then alice is both kind and tall.
If lucy is either rich or not happy then someone is kind or tall and vice versa.
Everyone who is both rich and brave is strong.
Everyone who is funny or quiet is either not cur... | Susan is old. | entailment | (((happy(paul)|~wise(paul)))=>(?[X]:((curious(X)|~old(X)))))&
((?[X]:((~brave(X)&~curious(X))))=>((kind(alice)&tall(alice))))&
(((rich(lucy)<~>~happy(lucy)))<=>(?[X]:((kind(X)|tall(X)))))&
(![X]:((rich(X)&brave(X))=>strong(X)))&
(![X]:((funny(X)|quiet(X))<=>(~curious(X)<~>calm(X))))&
((?[X]:((brave(X)|quiet(X))))<=>((~... | old(susan) | [
"p4",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7937659249233413999441427
% SZS output start Proof for 7937659249233413999441427
5. ! [X0] : ((quiet(X0) | funny(X0)) <=> (~curious(X0) <~> calm(X0))) [input p4]
11. ! [X0] : ((old(X0) | ~calm(X0)) <=> curious(X0)) [input p10]
12. ! [X0] : (~old(X0) => (~patient(X0) & funny(X0))) [input p... | 0 |
If mary is both not brave and quiet then someone is tall and vice versa.
Everyone who is both kind and not quiet is old.
Everyone who is both not patient and wise is either not rich or wise and vice versa.
If someone is not brave or not kind then susan is not calm and vice versa.
Everyone who is not funny or funny is e... | Mary is strong. | entailment | (((~brave(mary)&quiet(mary)))<=>(?[X]:(tall(X))))&
(![X]:((kind(X)&~quiet(X))=>old(X)))&
(![X]:((~patient(X)&wise(X))<=>(~rich(X)<~>wise(X))))&
((?[X]:((~brave(X)|~kind(X))))<=>(~calm(susan)))&
(![X]:((~funny(X)|funny(X))<=>(~calm(X)<~>~tall(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(~strong(X))))&
(![X]:((wise(X)<~>~wise(X))=... | strong(mary) | [
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7920977675786437188999703
% SZS output start Proof for 7920977675786437188999703
4. ? [X0] : (~kind(X0) | ~brave(X0)) <=> ~calm(susan) [input p3]
5. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~calm(X0) <~> ~tall(X0))) [input p4]
6. ? [X0] : ~kind(X0) <=> ? [X0] : ~strong(X0) [input p5]
7. ! ... | 0 |
If someone is generous then lucy is either old or kind. If someone is both not happy and curious then fred is not generous or old. Everyone who is rich is both not brave and not kind. Everyone who is not strong or not calm is curious or not rich. Everyone who is not rich is both funny and old and vice versa. If alice i... | Paul is not brave. | entailment | ((?[X]:(generous(X)))=>((old(lucy)<~>kind(lucy))))&
((?[X]:((~happy(X)&curious(X))))=>((~generous(fred)|old(fred))))&
(![X]:(rich(X)=>(~brave(X)&~kind(X))))&
(![X]:((~strong(X)|~calm(X))=>(curious(X)|~rich(X))))&
(![X]:(~rich(X)<=>(funny(X)&old(X))))&
(((~old(alice)|~funny(alice)))=>((strong(lucy)|humble(lucy))))&
((ki... | ~brave(paul) | [
"p2",
"p4",
"p7",
"p8",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3738315995950904502173129
% SZS output start Proof for 3738315995950904502173129
3. ! [X0] : (rich(X0) => (~kind(X0) & ~brave(X0))) [input p2]
5. ! [X0] : (~rich(X0) <=> (old(X0) & funny(X0))) [input p4]
8. ? [X0] : (~calm(X0) | ~patient(X0)) <=> (patient(paul) <~> funny(paul)) [input p7]... | 0 |
If paul is both old and not quiet then alice is strong and vice versa.
Everyone who is not kind is old.
Everyone who is both not generous and not wise is either not funny or not happy.
Everyone who is either not brave or not strong is either brave or calm and vice versa.
Everyone who is not curious or tall is either no... | Susan is not kind. | contradiction | (((old(paul)&~quiet(paul)))<=>(strong(alice)))&
(![X]:(~kind(X)=>old(X)))&
(![X]:((~generous(X)&~wise(X))=>(~funny(X)<~>~happy(X))))&
(![X]:((~brave(X)<~>~strong(X))<=>(brave(X)<~>calm(X))))&
(![X]:((~curious(X)|tall(X))=>(~wise(X)<~>patient(X))))&
(((~humble(john)|~brave(john)))<=>((~old(susan)&~kind(susan))))&
(![X]:... | ~kind(susan) | [
"p1",
"p4",
"p6",
"p7",
"p8",
"p9",
"p11",
"p13",
"p14",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2573113075739802987707684
% SZS output start Proof for 2573113075739802987707684
2. ! [X0] : (~kind(X0) => old(X0)) [input p1]
5. ! [X0] : ((tall(X0) | ~curious(X0)) => (~wise(X0) <~> patient(X0))) [input p4]
7. ! [X0] : ((~creative(X0) <~> ~funny(X0)) => (creative(X0) & ~kind(X0))) [inpu... | 0 |
If someone is not wise or kind then someone is not humble.
If someone is both not happy and not funny then someone is both wise and not kind and vice versa.
If mary is not happy then alice is either not tall or humble.
Everyone who is either quiet or kind is not wise and vice versa.
If paul is not curious or funny then... | Paul is wise. | contradiction | ((?[X]:((~wise(X)|kind(X))))=>(?[X]:(~humble(X))))&
((?[X]:((~happy(X)&~funny(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
((~happy(mary))=>((~tall(alice)<~>humble(alice))))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(paul)|funny(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(happy(X)<=>(creative(X)&~strong(X))))&
(![X]:(qu... | wise(paul) | [
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3549997803451977597475496
% SZS output start Proof for 3549997803451977597475496
9. ? [X0] : (~generous(X0) | quiet(X0)) <=> ? [X0] : (~tall(X0) & ~old(X0)) [input p8]
14. ! [X0] : ((wise(X0) | patient(X0)) <=> quiet(X0)) [input p13]
15. ! [X0] : ((generous(X0) & tall(X0)) <=> (~creative(... | 0 |
Everyone who is happy is not creative.
Everyone who is both not strong and not humble is both generous and not brave.
Everyone who is both not humble and funny is either wise or strong and vice versa.
Everyone who is both strong and not patient is kind and vice versa.
If someone is wise or not brave then someone is eit... | Paul is tall. | contradiction | (![X]:(happy(X)=>~creative(X)))&
(![X]:((~strong(X)&~humble(X))=>(generous(X)&~brave(X))))&
(![X]:((~humble(X)&funny(X))<=>(wise(X)<~>strong(X))))&
(![X]:((strong(X)&~patient(X))<=>kind(X)))&
((?[X]:((wise(X)|~brave(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
(![X]:((~wise(X)<~>kind(X))=>(happy(X)&tall(X))))&
(![X]:((funny... | tall(paul) | [
"p0",
"p5",
"p9",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3756209818224943884124181
% SZS output start Proof for 3756209818224943884124181
1. ! [X0] : (happy(X0) => ~creative(X0)) [input p0]
6. ! [X0] : ((~wise(X0) <~> kind(X0)) => (tall(X0) & happy(X0))) [input p5]
10. ! [X0] : ((happy(X0) <~> kind(X0)) <=> ~tall(X0)) [input p9]
12. ! [X0] : (~... | 0 |
Everyone who is both not quiet and not strong is both calm and kind. If alice is both quiet and creative then john is both calm and tall. If lucy is both not humble and curious then paul is not patient and vice versa. If mary is both not creative and old then lucy is either not tall or generous. Everyone who is both no... | Lucy is generous. | entailment | (![X]:((~quiet(X)&~strong(X))=>(calm(X)&kind(X))))&
(((quiet(alice)&creative(alice)))=>((calm(john)&tall(john))))&
(((~humble(lucy)&curious(lucy)))<=>(~patient(paul)))&
(((~creative(mary)&old(mary)))=>((~tall(lucy)<~>generous(lucy))))&
(![X]:((~quiet(X)&~creative(X))<=>(tall(X)&kind(X))))&
(((old(lucy)&~rich(lucy)))<=>... | generous(lucy) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 99215154667302374199999
% SZS output start Proof for 99215154667302374199999
7. ! [X0] : ((~wise(X0) | ~kind(X0)) => generous(X0)) [input p6]
12. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> (~rich(X0) | kind(X0))) [input p11]
25. ~generous(lucy) [input hypothesis]
33. ! [X0] : (generous(X0) ... | 0 |
Everyone who is both not happy and tall is creative or not quiet.
If someone is either not quiet or not strong then someone is not old or rich and vice versa.
Everyone who is not old is not humble.
Everyone who is funny or not strong is both quiet and strong and vice versa.
Everyone who is either not strong or not pati... | Alice is not quiet. | neutral | (![X]:((~happy(X)&tall(X))=>(creative(X)|~quiet(X))))&
((?[X]:((~quiet(X)<~>~strong(X))))<=>(?[X]:((~old(X)|rich(X)))))&
(![X]:(~old(X)=>~humble(X)))&
(![X]:((funny(X)|~strong(X))<=>(quiet(X)&strong(X))))&
(![X]:((~strong(X)<~>~patient(X))<=>curious(X)))&
(![X]:((~rich(X)|~generous(X))<=>tall(X)))&
(![X]:(humble(X)<=>~... | ~quiet(alice) | [] | null | 0 |
If someone is not strong then someone is not old.
Everyone who is not strong is either old or not rich and vice versa.
Everyone who is brave or quiet is kind and vice versa.
Everyone who is not tall or not funny is not kind.
Everyone who is not rich is both not calm and happy and vice versa.
Everyone who is not strong ... | Mary is not kind. | entailment | ((?[X]:(~strong(X)))=>(?[X]:(~old(X))))&
(![X]:(~strong(X)<=>(old(X)<~>~rich(X))))&
(![X]:((brave(X)|quiet(X))<=>kind(X)))&
(![X]:((~tall(X)|~funny(X))=>~kind(X)))&
(![X]:(~rich(X)<=>(~calm(X)&happy(X))))&
(![X]:(~strong(X)<=>(~kind(X)&patient(X))))&
(![X]:(~humble(X)<=>(happy(X)|kind(X))))&
((?[X]:((curious(X)<~>~quie... | ~kind(mary) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6390595510766356068477289
% SZS output start Proof for 6390595510766356068477289
6. ! [X0] : (~strong(X0) <=> (patient(X0) & ~kind(X0))) [input p5]
19. ~calm(mary) & ~strong(mary) [input p18]
25. kind(mary) [input hypothesis]
47. ! [X0] : ((~strong(X0) | (~patient(X0) | kind(X0))) & ((pat... | 0 |
If fred is both not old and not brave then lucy is either calm or not creative.
If someone is kind or not humble then someone is both rich and wise.
If someone is both funny and not wise then someone is generous or kind and vice versa.
If lucy is either not rich or not kind then someone is calm or not generous.
Everyon... | Fred is humble. | entailment | (((~old(fred)&~brave(fred)))=>((calm(lucy)<~>~creative(lucy))))&
((?[X]:((kind(X)|~humble(X))))=>(?[X]:((rich(X)&wise(X)))))&
((?[X]:((funny(X)&~wise(X))))<=>(?[X]:((generous(X)|kind(X)))))&
(((~rich(lucy)<~>~kind(lucy)))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((old(X)&~creative(X))<=>~funny(X)))&
(![X]:((brave(X)&ha... | humble(fred) | [
"p1",
"p4",
"p5",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5967211168183919699892321
% SZS output start Proof for 5967211168183919699892321
2. ? [X0] : (~humble(X0) | kind(X0)) => ? [X0] : (wise(X0) & rich(X0)) [input p1]
5. ! [X0] : ((~creative(X0) & old(X0)) <=> ~funny(X0)) [input p4]
6. ! [X0] : ((happy(X0) & brave(X0)) <=> (~kind(X0) <~> ~pat... | 0 |
Everyone who is either tall or not curious is both not kind and curious and vice versa.
Everyone who is both tall and not rich is both creative and curious.
Everyone who is kind is brave and vice versa.
If someone is funny or generous then mary is tall or not patient.
If someone is either humble or tall then alice is q... | John is not humble. | contradiction | (![X]:((tall(X)<~>~curious(X))<=>(~kind(X)&curious(X))))&
(![X]:((tall(X)&~rich(X))=>(creative(X)&curious(X))))&
(![X]:(kind(X)<=>brave(X)))&
((?[X]:((funny(X)|generous(X))))=>((tall(mary)|~patient(mary))))&
((?[X]:((humble(X)<~>tall(X))))<=>(quiet(alice)))&
(((~old(alice)&rich(alice)))=>(?[X]:((patient(X)&~quiet(X))))... | ~humble(john) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5463992888287424218672705
% SZS output start Proof for 5463992888287424218672705
1. ! [X0] : ((tall(X0) <~> ~curious(X0)) <=> (curious(X0) & ~kind(X0))) [input p0]
2. ! [X0] : ((~rich(X0) & tall(X0)) => (curious(X0) & creative(X0))) [input p1]
5. ? [X0] : (humble(X0) <~> tall(X0)) <=> qui... | 0 |
If someone is either not patient or curious then someone is either kind or quiet and vice versa.
Everyone who is both not happy and not wise is either quiet or curious.
If someone is happy then someone is both not strong and generous and vice versa.
Everyone who is either patient or not calm is both not quiet and not h... | Paul is wise. | contradiction | ((?[X]:((~patient(X)<~>curious(X))))<=>(?[X]:((kind(X)<~>quiet(X)))))&
(![X]:((~happy(X)&~wise(X))=>(quiet(X)<~>curious(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X]:((patient(X)<~>~calm(X))=>(~quiet(X)&~happy(X))))&
(![X]:(~old(X)<=>generous(X)))&
(![X]:((~wise(X)&rich(X))<=>(generous(X)|~humbl... | wise(paul) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 714719414550289955775794
% SZS output start Proof for 714719414550289955775794
6. ! [X0] : ((rich(X0) & ~wise(X0)) <=> (~humble(X0) | generous(X0))) [input p5]
8. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> (generous(X0) | ~humble(X0))) [input p7]
24. wise(paul) [input hypothesis]
48. ! [X0] :... | 0 |
If someone is both not patient and curious then someone is not generous and vice versa. Everyone who is both generous and humble is both creative and not kind and vice versa. If alice is either calm or tall then lucy is not patient or funny. Everyone who is both old and not happy is rich and vice versa. Everyone who is... | Alice is not rich. | contradiction | ((?[X]:((~patient(X)&curious(X))))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)&humble(X))<=>(creative(X)&~kind(X))))&
(((calm(alice)<~>tall(alice)))=>((~patient(lucy)|funny(lucy))))&
(![X]:((old(X)&~happy(X))<=>rich(X)))&
(![X]:(~brave(X)=>(generous(X)&~patient(X))))&
((~generous(lucy))=>(generous(paul)))&
((?[X]:(~c... | ~rich(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7328327852689021635755808
% SZS output start Proof for 7328327852689021635755808
14. ! [X0] : ((rich(X0) | ~rich(X0)) <=> rich(X0)) [input p13]
24. ~rich(alice) [input hypothesis]
66. ! [X0] : (((rich(X0) | ~rich(X0)) | ~rich(X0)) & (rich(X0) | (~rich(X0) & rich(X0)))) [nnf transformation... | 0 |
If someone is either not strong or generous then paul is happy or curious. Everyone who is happy or not wise is both not rich and not curious. Everyone who is both not curious and not quiet is not creative or not generous and vice versa. If someone is both not kind and curious then someone is both wise and curious. Eve... | Paul is quiet. | neutral | ((?[X]:((~strong(X)<~>generous(X))))=>((happy(paul)|curious(paul))))&
(![X]:((happy(X)|~wise(X))=>(~rich(X)&~curious(X))))&
(![X]:((~curious(X)&~quiet(X))<=>(~creative(X)|~generous(X))))&
((?[X]:((~kind(X)&curious(X))))=>(?[X]:((wise(X)&curious(X)))))&
(![X]:((~rich(X)&creative(X))=>(brave(X)|~rich(X))))&
((?[X]:((humb... | quiet(paul) | [] | null | 0 |
If someone is not rich or not calm then someone is not curious or humble and vice versa.
Everyone who is wise is both patient and rich and vice versa.
Everyone who is kind is both rich and patient and vice versa.
Everyone who is happy or creative is curious and vice versa.
If someone is both rich and not patient then m... | Lucy is happy. | contradiction | ((?[X]:((~rich(X)|~calm(X))))<=>(?[X]:((~curious(X)|humble(X)))))&
(![X]:(wise(X)<=>(patient(X)&rich(X))))&
(![X]:(kind(X)<=>(rich(X)&patient(X))))&
(![X]:((happy(X)|creative(X))<=>curious(X)))&
((?[X]:((rich(X)&~patient(X))))=>((~tall(mary)|~calm(mary))))&
(![X]:((happy(X)&brave(X))=>kind(X)))&
(![X]:(~brave(X)<=>(cre... | happy(lucy) | [
"p1",
"p2",
"p5",
"p6",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7481947555219557957505792
% SZS output start Proof for 7481947555219557957505792
2. ! [X0] : (wise(X0) <=> (rich(X0) & patient(X0))) [input p1]
3. ! [X0] : (kind(X0) <=> (patient(X0) & rich(X0))) [input p2]
6. ! [X0] : ((brave(X0) & happy(X0)) => kind(X0)) [input p5]
7. ! [X0] : (~brave(X... | 0 |
If someone is either patient or not strong then someone is either not strong or not humble.
If someone is not funny then alice is not old or not wise and vice versa.
Everyone who is both not patient and strong is not kind or calm and vice versa.
Everyone who is funny or not rich is not tall and vice versa.
If someone i... | Mary is not funny. | contradiction | ((?[X]:((patient(X)<~>~strong(X))))=>(?[X]:((~strong(X)<~>~humble(X)))))&
((?[X]:(~funny(X)))<=>((~old(alice)|~wise(alice))))&
(![X]:((~patient(X)&strong(X))<=>(~kind(X)|calm(X))))&
(![X]:((funny(X)|~rich(X))<=>~tall(X)))&
((?[X]:(old(X)))<=>((~generous(paul)&creative(paul))))&
(![X]:(old(X)<=>(~generous(X)|~strong(X))... | ~funny(mary) | [
"p2",
"p3",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8584250838042364312436537
% SZS output start Proof for 8584250838042364312436537
3. ! [X0] : ((strong(X0) & ~patient(X0)) <=> (calm(X0) | ~kind(X0))) [input p2]
4. ! [X0] : ((~rich(X0) | funny(X0)) <=> ~tall(X0)) [input p3]
9. (~patient(mary) & rich(mary)) <=> ? [X0] : (creative(X0) | ~cr... | 0 |
Everyone who is either old or not wise is either kind or not generous and vice versa.
Everyone who is both not calm and not generous is not funny or not old and vice versa.
If someone is happy or not rich then someone is both not happy and strong and vice versa.
Everyone who is both rich and brave is not patient.
If so... | Fred is strong. | contradiction | (![X]:((old(X)<~>~wise(X))<=>(kind(X)<~>~generous(X))))&
(![X]:((~calm(X)&~generous(X))<=>(~funny(X)|~old(X))))&
((?[X]:((happy(X)|~rich(X))))<=>(?[X]:((~happy(X)&strong(X)))))&
(![X]:((rich(X)&brave(X))=>~patient(X)))&
((?[X]:((~funny(X)&generous(X))))=>(?[X]:((old(X)|~humble(X)))))&
(![X]:((tall(X)<~>strong(X))<=>~st... | strong(fred) | [
"p5",
"p7",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7968553660927883176678223
% SZS output start Proof for 7968553660927883176678223
6. ! [X0] : ((tall(X0) <~> strong(X0)) <=> ~strong(X0)) [input p5]
8. ! [X0] : (tall(X0) => (~calm(X0) <~> humble(X0))) [input p7]
12. ! [X0] : ((kind(X0) <~> ~calm(X0)) <=> (~strong(X0) | ~humble(X0))) [inpu... | 0 |
Everyone who is both rich and not old is creative and vice versa.
Everyone who is both not curious and brave is either curious or tall and vice versa.
Everyone who is not kind or not brave is either not rich or curious and vice versa.
Everyone who is happy is tall or rich and vice versa.
If someone is either not kind o... | Fred is funny. | entailment | (![X]:((rich(X)&~old(X))<=>creative(X)))&
(![X]:((~curious(X)&brave(X))<=>(curious(X)<~>tall(X))))&
(![X]:((~kind(X)|~brave(X))<=>(~rich(X)<~>curious(X))))&
(![X]:(happy(X)<=>(tall(X)|rich(X))))&
((?[X]:((~kind(X)<~>~patient(X))))=>((~funny(paul)<~>brave(paul))))&
(![X]:((~humble(X)&~brave(X))<=>~rich(X)))&
(![X]:((hum... | funny(fred) | [
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 867787712142708688587793
% SZS output start Proof for 867787712142708688587793
7. ! [X0] : ((~funny(X0) | humble(X0)) <=> (strong(X0) & quiet(X0))) [input p6]
23. ~strong(fred) [input p22]
25. ~funny(fred) [input hypothesis]
45. ! [X0] : (((~funny(X0) | humble(X0)) | (~strong(X0) | ~quiet... | 0 |
If someone is quiet then fred is funny and vice versa. If someone is either not happy or creative then mary is either quiet or old and vice versa. If john is old or curious then paul is either tall or old. If someone is not kind or not curious then fred is either kind or not funny and vice versa. If someone is not happ... | Mary is not curious. | entailment | ((?[X]:(quiet(X)))<=>(funny(fred)))&
((?[X]:((~happy(X)<~>creative(X))))<=>((quiet(mary)<~>old(mary))))&
(((old(john)|curious(john)))=>((tall(paul)<~>old(paul))))&
((?[X]:((~kind(X)|~curious(X))))<=>((kind(fred)<~>~funny(fred))))&
((?[X]:(~happy(X)))<=>((~rich(lucy)|~humble(lucy))))&
((generous(mary))<=>(?[X]:((rich(X)... | ~curious(mary) | [
"p7",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 190478937724629593662200
% SZS output start Proof for 190478937724629593662200
8. ? [X0] : ~wise(X0) <=> ? [X0] : (~brave(X0) | curious(X0)) [input p7]
9. ! [X0] : (~wise(X0) => (quiet(X0) & kind(X0))) [input p8]
10. ! [X0] : ((~happy(X0) | ~quiet(X0)) <=> (happy(X0) | calm(X0))) [input p... | 0 |
Everyone who is not calm is generous and vice versa.
Everyone who is not tall or not funny is either rich or not calm and vice versa.
Everyone who is either not kind or not wise is brave and vice versa.
If someone is either not brave or not patient then someone is not funny or not curious.
Everyone who is not humble or... | Mary is creative. | contradiction | (![X]:(~calm(X)<=>generous(X)))&
(![X]:((~tall(X)|~funny(X))<=>(rich(X)<~>~calm(X))))&
(![X]:((~kind(X)<~>~wise(X))<=>brave(X)))&
((?[X]:((~brave(X)<~>~patient(X))))=>(?[X]:((~funny(X)|~curious(X)))))&
(![X]:((~humble(X)|~calm(X))<=>(~patient(X)|~creative(X))))&
((?[X]:(generous(X)))<=>((happy(alice)<~>funny(alice))))&... | creative(mary) | [
"p0",
"p1",
"p6",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8935440199569800233993745
% SZS output start Proof for 8935440199569800233993745
1. ! [X0] : (~calm(X0) <=> generous(X0)) [input p0]
2. ! [X0] : ((~funny(X0) | ~tall(X0)) <=> (rich(X0) <~> ~calm(X0))) [input p1]
7. (funny(fred) | ~calm(fred)) <=> (~kind(mary) & ~creative(mary)) [input p6]... | 0 |
Everyone who is not patient is both happy and curious. Everyone who is quiet or generous is calm or not kind. Everyone who is not wise is tall or not old. Everyone who is wise or not quiet is not generous or brave and vice versa. If mary is not humble or old then someone is not happy or not old and vice versa. If someo... | Mary is not old. | contradiction | (![X]:(~patient(X)=>(happy(X)&curious(X))))&
(![X]:((quiet(X)|generous(X))=>(calm(X)|~kind(X))))&
(![X]:(~wise(X)=>(tall(X)|~old(X))))&
(![X]:((wise(X)|~quiet(X))<=>(~generous(X)|brave(X))))&
(((~humble(mary)|old(mary)))<=>(?[X]:((~happy(X)|~old(X)))))&
((?[X]:((curious(X)|wise(X))))<=>(?[X]:((~kind(X)|~wise(X)))))&
(!... | ~old(mary) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4455857736335126219449620
% SZS output start Proof for 4455857736335126219449620
5. (old(mary) | ~humble(mary)) <=> ? [X0] : (~old(X0) | ~happy(X0)) [input p4]
7. ! [X0] : (~old(X0) => (humble(X0) & ~wise(X0))) [input p6]
25. ~old(mary) [input hypothesis]
33. ! [X0] : ((humble(X0) & ~wise... | 0 |
Everyone who is either old or curious is old or rich and vice versa.
Everyone who is not creative or not curious is either not tall or tall.
If someone is patient then mary is happy or rich.
If someone is not wise then fred is both funny and not tall and vice versa.
If someone is not patient then susan is quiet or not ... | Paul is kind. | neutral | (![X]:((old(X)<~>curious(X))<=>(old(X)|rich(X))))&
(![X]:((~creative(X)|~curious(X))=>(~tall(X)<~>tall(X))))&
((?[X]:(patient(X)))=>((happy(mary)|rich(mary))))&
((?[X]:(~wise(X)))<=>((funny(fred)&~tall(fred))))&
((?[X]:(~patient(X)))<=>((quiet(susan)|~funny(susan))))&
(![X]:(curious(X)<=>(~tall(X)|~happy(X))))&
(((~qui... | kind(paul) | [] | null | 0 |
If john is brave then fred is both calm and curious. Everyone who is not rich is calm and vice versa. Everyone who is both not tall and creative is not curious. If fred is not wise or tall then mary is both not funny and happy and vice versa. Everyone who is both curious and rich is either not curious or not generous. ... | Paul is strong. | entailment | ((brave(john))=>((calm(fred)&curious(fred))))&
(![X]:(~rich(X)<=>calm(X)))&
(![X]:((~tall(X)&creative(X))=>~curious(X)))&
(((~wise(fred)|tall(fred)))<=>((~funny(mary)&happy(mary))))&
(![X]:((curious(X)&rich(X))=>(~curious(X)<~>~generous(X))))&
((?[X]:((strong(X)<~>~happy(X))))<=>(generous(lucy)))&
((old(susan))<=>(?[X]... | strong(paul) | [
"p5",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 399351639385625414635528
% SZS output start Proof for 399351639385625414635528
6. ? [X0] : (strong(X0) <~> ~happy(X0)) <=> generous(lucy) [input p5]
10. ! [X0] : ((~happy(X0) & happy(X0)) <=> (~happy(X0) <~> ~quiet(X0))) [input p9]
11. ! [X0] : ((quiet(X0) | strong(X0)) => ~quiet(X0)) [in... | 0 |
Everyone who is both funny and generous is patient or rich. Everyone who is both not strong and patient is not curious or curious. If someone is not rich or strong then someone is not generous or not happy and vice versa. Everyone who is not rich is not humble or curious. Everyone who is not calm or wise is wise. Every... | John is not kind. | contradiction | (![X]:((funny(X)&generous(X))=>(patient(X)|rich(X))))&
(![X]:((~strong(X)&patient(X))=>(~curious(X)|curious(X))))&
((?[X]:((~rich(X)|strong(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(~rich(X)=>(~humble(X)|curious(X))))&
(![X]:((~calm(X)|wise(X))=>wise(X)))&
(![X]:((funny(X)&~creative(X))<=>(creative(X)|~tall(X)... | ~kind(john) | [
"p4",
"p7",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2146491753046011448759095
% SZS output start Proof for 2146491753046011448759095
5. ! [X0] : ((wise(X0) | ~calm(X0)) => wise(X0)) [input p4]
8. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> (tall(X0) & ~brave(X0))) [input p7]
11. ! [X0] : ((~kind(X0) <~> wise(X0)) <=> (~rich(X0) | ~calm(X0))) [... | 0 |
If someone is either not curious or patient then mary is both not patient and not tall and vice versa. Everyone who is old is tall and vice versa. Everyone who is either quiet or generous is both not rich and not funny. Everyone who is either not strong or patient is humble or wise and vice versa. If lucy is both quiet... | John is rich. | contradiction | ((?[X]:((~curious(X)<~>patient(X))))<=>((~patient(mary)&~tall(mary))))&
(![X]:(old(X)<=>tall(X)))&
(![X]:((quiet(X)<~>generous(X))=>(~rich(X)&~funny(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)|wise(X))))&
(((quiet(lucy)&~quiet(lucy)))<=>(curious(susan)))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~brave(X)<~>~creative(... | rich(john) | [
"p2",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8183903474027618799670652
% SZS output start Proof for 8183903474027618799670652
3. ! [X0] : ((quiet(X0) <~> generous(X0)) => (~funny(X0) & ~rich(X0))) [input p2]
12. ! [X0] : (~generous(X0) <=> (kind(X0) | brave(X0))) [input p11]
13. ! [X0] : ((calm(X0) | strong(X0)) <=> quiet(X0)) [inpu... | 0 |
Everyone who is both creative and not brave is both tall and not curious and vice versa.
Everyone who is not humble or not brave is creative or kind.
If someone is either quiet or rich then someone is either not kind or patient.
Everyone who is rich is old or generous.
Everyone who is both not old and not happy is stro... | Mary is humble. | contradiction | (![X]:((creative(X)&~brave(X))<=>(tall(X)&~curious(X))))&
(![X]:((~humble(X)|~brave(X))=>(creative(X)|kind(X))))&
((?[X]:((quiet(X)<~>rich(X))))=>(?[X]:((~kind(X)<~>patient(X)))))&
(![X]:(rich(X)=>(old(X)|generous(X))))&
(![X]:((~old(X)&~happy(X))<=>(strong(X)|curious(X))))&
(((humble(john)<~>~funny(john)))=>(?[X]:((~h... | humble(mary) | [
"p0",
"p4",
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4557093925338788366773981
% SZS output start Proof for 4557093925338788366773981
1. ! [X0] : ((~brave(X0) & creative(X0)) <=> (~curious(X0) & tall(X0))) [input p0]
5. ! [X0] : ((~happy(X0) & ~old(X0)) <=> (curious(X0) | strong(X0))) [input p4]
7. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> (~h... | 0 |
Everyone who is both strong and not calm is not quiet and vice versa.
Everyone who is happy is both not curious and curious.
If paul is both not quiet and happy then someone is either rich or not creative and vice versa.
Everyone who is either not rich or not strong is strong and vice versa.
If susan is both not brave ... | Lucy is quiet. | contradiction | (![X]:((strong(X)&~calm(X))<=>~quiet(X)))&
(![X]:(happy(X)=>(~curious(X)&curious(X))))&
(((~quiet(paul)&happy(paul)))<=>(?[X]:((rich(X)<~>~creative(X)))))&
(![X]:((~rich(X)<~>~strong(X))<=>strong(X)))&
(((~brave(susan)&~quiet(susan)))=>(?[X]:((brave(X)<~>~strong(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~brave(X))... | quiet(lucy) | [
"p0",
"p1",
"p10",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 36304771809205939702859
% SZS output start Proof for 36304771809205939702859
1. ! [X0] : ((~calm(X0) & strong(X0)) <=> ~quiet(X0)) [input p0]
2. ! [X0] : (happy(X0) => (curious(X0) & ~curious(X0))) [input p1]
11. ! [X0] : ((strong(X0) & curious(X0)) <=> brave(X0)) [input p10]
20. ~funny(l... | 0 |
Everyone who is either happy or not creative is either not brave or not tall and vice versa. Everyone who is either not curious or not rich is either not quiet or not kind. Everyone who is either not strong or not generous is both not brave and tall. Everyone who is humble or not kind is not humble or not wise and vice... | Lucy is not kind. | entailment | (![X]:((happy(X)<~>~creative(X))<=>(~brave(X)<~>~tall(X))))&
(![X]:((~curious(X)<~>~rich(X))=>(~quiet(X)<~>~kind(X))))&
(![X]:((~strong(X)<~>~generous(X))=>(~brave(X)&tall(X))))&
(![X]:((humble(X)|~kind(X))<=>(~humble(X)|~wise(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((kind(X)|tall(X)))))&
((?[X]:((~kind(X)<~>~funny(X))))<=... | ~kind(lucy) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5480244890830510697440787
% SZS output start Proof for 5480244890830510697440787
4. ! [X0] : ((~kind(X0) | humble(X0)) <=> (~wise(X0) | ~humble(X0))) [input p3]
14. ! [X0] : ((wise(X0) & humble(X0)) <=> (humble(X0) | ~patient(X0))) [input p13]
23. kind(lucy) [input hypothesis]
42. ! [X0] ... | 0 |
Everyone who is not quiet or patient is either humble or funny.
If fred is old then alice is old.
Everyone who is both rich and strong is patient or brave and vice versa.
Everyone who is not kind or not strong is not creative and vice versa.
Everyone who is either rich or old is both strong and not generous.
Everyone w... | Susan is not strong. | contradiction | (![X]:((~quiet(X)|patient(X))=>(humble(X)<~>funny(X))))&
((old(fred))=>(old(alice)))&
(![X]:((rich(X)&strong(X))<=>(patient(X)|brave(X))))&
(![X]:((~kind(X)|~strong(X))<=>~creative(X)))&
(![X]:((rich(X)<~>old(X))=>(strong(X)&~generous(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(~funny(X)&~brave(X))))&
(![X]:(~patient(X)<... | ~strong(susan) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7559918586008997971979986
% SZS output start Proof for 7559918586008997971979986
3. ! [X0] : ((strong(X0) & rich(X0)) <=> (brave(X0) | patient(X0))) [input p2]
7. ! [X0] : (~patient(X0) <=> (~patient(X0) & patient(X0))) [input p6]
19. ~strong(susan) [input hypothesis]
37. ! [X0] : (((stro... | 0 |
Everyone who is both not curious and strong is funny. If someone is either kind or happy then someone is kind and vice versa. Everyone who is not patient is not old and vice versa. Everyone who is funny is either strong or humble and vice versa. Everyone who is generous or not calm is either not funny or not kind. If s... | John is not rich. | neutral | (![X]:((~curious(X)&strong(X))=>funny(X)))&
((?[X]:((kind(X)<~>happy(X))))<=>(?[X]:(kind(X))))&
(![X]:(~patient(X)<=>~old(X)))&
(![X]:(funny(X)<=>(strong(X)<~>humble(X))))&
(![X]:((generous(X)|~calm(X))=>(~funny(X)<~>~kind(X))))&
((?[X]:((~calm(X)|~happy(X))))<=>((wise(paul)|~curious(paul))))&
(![X]:(humble(X)=>(patien... | ~rich(john) | [] | null | 0 |
If alice is brave then susan is both not tall and not happy and vice versa. Everyone who is not tall is both wise and generous. If alice is curious then someone is curious or not tall and vice versa. If susan is both not funny and not calm then someone is either not curious or not strong and vice versa. If someone is e... | Alice is creative. | contradiction | ((brave(alice))<=>((~tall(susan)&~happy(susan))))&
(![X]:(~tall(X)=>(wise(X)&generous(X))))&
((curious(alice))<=>(?[X]:((curious(X)|~tall(X)))))&
(((~funny(susan)&~calm(susan)))<=>(?[X]:((~curious(X)<~>~strong(X)))))&
((?[X]:((~creative(X)<~>generous(X))))=>((tall(paul)|patient(paul))))&
(![X]:(rich(X)=>humble(X)))&
(!... | creative(alice) | [
"p0",
"p1",
"p7",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2986134508223150278569845
% SZS output start Proof for 2986134508223150278569845
1. brave(alice) <=> (~happy(susan) & ~tall(susan)) [input p0]
2. ! [X0] : (~tall(X0) => (generous(X0) & wise(X0))) [input p1]
8. ! [X0] : (wise(X0) <=> (old(X0) & ~wise(X0))) [input p7]
12. ? [X0] : (calm(X0)... | 0 |
Everyone who is patient or not strong is not wise.
If susan is kind or not brave then lucy is either not curious or not tall and vice versa.
If someone is both not quiet and funny then someone is either not patient or not humble and vice versa.
If lucy is both generous and calm then someone is not brave and vice versa.... | John is quiet. | contradiction | (![X]:((patient(X)|~strong(X))=>~wise(X)))&
(((kind(susan)|~brave(susan)))<=>((~curious(lucy)<~>~tall(lucy))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(((generous(lucy)&calm(lucy)))<=>(?[X]:(~brave(X))))&
(![X]:((~creative(X)&brave(X))<=>(quiet(X)|~kind(X))))&
((brave(paul))=>((~rich(mar... | quiet(john) | [
"p4",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 879834114523457482843019
% SZS output start Proof for 879834114523457482843019
5. ! [X0] : ((brave(X0) & ~creative(X0)) <=> (~kind(X0) | quiet(X0))) [input p4]
15. ? [X0] : ~creative(X0) => (humble(john) & happy(john)) [input p14]
18. ~humble(john) [input p17]
24. quiet(john) [input hypot... | 0 |
Everyone who is quiet or not kind is both not tall and not generous and vice versa. Everyone who is wise is tall. If paul is not rich then susan is both not humble and creative and vice versa. Everyone who is not strong or not humble is both not patient and humble and vice versa. If paul is both calm and not patient th... | Fred is not humble. | contradiction | (![X]:((quiet(X)|~kind(X))<=>(~tall(X)&~generous(X))))&
(![X]:(wise(X)=>tall(X)))&
((~rich(paul))<=>((~humble(susan)&creative(susan))))&
(![X]:((~strong(X)|~humble(X))<=>(~patient(X)&humble(X))))&
(((calm(paul)&~patient(paul)))=>(?[X]:((strong(X)&tall(X)))))&
(![X]:((quiet(X)|~strong(X))=>(tall(X)&calm(X))))&
(((~rich(... | ~humble(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7237007276143279042532199
% SZS output start Proof for 7237007276143279042532199
4. ! [X0] : ((~humble(X0) | ~strong(X0)) <=> (humble(X0) & ~patient(X0))) [input p3]
23. ~humble(fred) [input hypothesis]
41. ! [X0] : (((~humble(X0) | ~strong(X0)) | (~humble(X0) | patient(X0))) & ((humble(X... | 0 |
Everyone who is either not generous or not wise is not brave or not calm and vice versa.
Everyone who is funny is either happy or curious.
If someone is both not kind and happy then paul is both happy and rich and vice versa.
Everyone who is both not generous and not quiet is curious and vice versa.
Everyone who is bot... | Susan is not brave. | contradiction | (![X]:((~generous(X)<~>~wise(X))<=>(~brave(X)|~calm(X))))&
(![X]:(funny(X)=>(happy(X)<~>curious(X))))&
((?[X]:((~kind(X)&happy(X))))<=>((happy(paul)&rich(paul))))&
(![X]:((~generous(X)&~quiet(X))<=>curious(X)))&
(![X]:((~rich(X)&funny(X))=>(humble(X)|generous(X))))&
(![X]:((~brave(X)|old(X))=>wise(X)))&
(![X]:((~wise(X... | ~brave(susan) | [
"p0",
"p3",
"p5",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 770263859086942222719845
% SZS output start Proof for 770263859086942222719845
1. ! [X0] : ((~generous(X0) <~> ~wise(X0)) <=> (~calm(X0) | ~brave(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) & ~generous(X0)) <=> curious(X0)) [input p3]
6. ! [X0] : ((old(X0) | ~brave(X0)) => wise(X0)) [input ... | 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... | Lucy is not humble. | contradiction | ((?[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... | ~humble(lucy) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4798039218355917468966073
% SZS output start Proof for 4798039218355917468966073
1. ? [X0] : brave(X0) <=> (kind(alice) | generous(alice)) [input p0]
3. ! [X0] : ((kind(X0) | strong(X0)) <=> (calm(X0) & ~strong(X0))) [input p2]
7. (humble(lucy) <~> ~curious(lucy)) <=> ? [X0] : (~brave(X0)... | 0 |
Everyone who is either not happy or not rich is either not patient or generous.
If someone is either humble or strong then someone is not creative.
Everyone who is not quiet or not wise is both wise and not brave and vice versa.
Everyone who is not happy or rich is both happy and not strong and vice versa.
Everyone who... | Mary is calm. | neutral | (![X]:((~happy(X)<~>~rich(X))=>(~patient(X)<~>generous(X))))&
((?[X]:((humble(X)<~>strong(X))))=>(?[X]:(~creative(X))))&
(![X]:((~quiet(X)|~wise(X))<=>(wise(X)&~brave(X))))&
(![X]:((~happy(X)|rich(X))<=>(happy(X)&~strong(X))))&
(![X]:((brave(X)<~>humble(X))<=>(~calm(X)|~creative(X))))&
(![X]:((calm(X)&patient(X))<=>~br... | calm(mary) | [] | null | 0 |
If alice is rich or not creative then someone is not kind and vice versa. If paul is not kind then fred is both tall and not calm. If susan is not kind or not quiet then lucy is old. If someone is both not patient and funny then lucy is not rich or not brave. Everyone who is calm or not brave is not kind or not rich an... | John is not strong. | entailment | (((rich(alice)|~creative(alice)))<=>(?[X]:(~kind(X))))&
((~kind(paul))=>((tall(fred)&~calm(fred))))&
(((~kind(susan)|~quiet(susan)))=>(old(lucy)))&
((?[X]:((~patient(X)&funny(X))))=>((~rich(lucy)|~brave(lucy))))&
(![X]:((calm(X)|~brave(X))<=>(~kind(X)|~rich(X))))&
(![X]:(old(X)=>(~creative(X)<~>kind(X))))&
(![X]:((~pat... | ~strong(john) | [
"p4",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 121962283106332315232257
% SZS output start Proof for 121962283106332315232257
5. ! [X0] : ((~brave(X0) | calm(X0)) <=> (~rich(X0) | ~kind(X0))) [input p4]
11. ! [X0] : ((~tall(X0) | ~quiet(X0)) => (~funny(X0) & kind(X0))) [input p10]
12. ? [X0] : (tall(X0) | curious(X0)) <=> ? [X0] : (~k... | 0 |
If mary is not strong then someone is wise or quiet.
Everyone who is both not happy and not tall is either tall or happy.
If someone is not patient then fred is either not creative or generous.
Everyone who is either not strong or quiet is both not humble and not happy and vice versa.
If mary is either humble or wise t... | Mary is not creative. | entailment | ((~strong(mary))=>(?[X]:((wise(X)|quiet(X)))))&
(![X]:((~happy(X)&~tall(X))=>(tall(X)<~>happy(X))))&
((?[X]:(~patient(X)))=>((~creative(fred)<~>generous(fred))))&
(![X]:((~strong(X)<~>quiet(X))<=>(~humble(X)&~happy(X))))&
(((humble(mary)<~>wise(mary)))<=>(?[X]:((rich(X)<~>happy(X)))))&
(((~quiet(paul)<~>strong(paul)))<... | ~creative(mary) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4463486017520204117916291
% SZS output start Proof for 4463486017520204117916291
4. ! [X0] : ((~strong(X0) <~> quiet(X0)) <=> (~happy(X0) & ~humble(X0))) [input p3]
5. (humble(mary) <~> wise(mary)) <=> ? [X0] : (rich(X0) <~> happy(X0)) [input p4]
6. (~quiet(paul) <~> strong(paul)) <=> ? [... | 0 |
Everyone who is either not quiet or calm is both not creative and not curious and vice versa. If someone is not creative then someone is both kind and not old and vice versa. Everyone who is not old or not calm is either not calm or rich. If someone is not generous then paul is humble or patient and vice versa. Everyon... | Paul is patient. | neutral | (![X]:((~quiet(X)<~>calm(X))<=>(~creative(X)&~curious(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((kind(X)&~old(X)))))&
(![X]:((~old(X)|~calm(X))=>(~calm(X)<~>rich(X))))&
((?[X]:(~generous(X)))<=>((humble(paul)|patient(paul))))&
(![X]:(~happy(X)<=>~strong(X)))&
(![X]:(calm(X)=>(calm(X)&~strong(X))))&
(![X]:((kind(X)<~>tall(... | patient(paul) | [] | null | 0 |
Everyone who is rich or quiet is either creative or not generous.
If mary is either funny or wise then mary is both not wise and not patient.
Everyone who is not strong or not wise is not funny and vice versa.
Everyone who is both tall and wise is not funny or patient and vice versa.
Everyone who is either not calm or ... | Alice is not generous. | neutral | (![X]:((rich(X)|quiet(X))=>(creative(X)<~>~generous(X))))&
(((funny(mary)<~>wise(mary)))=>((~wise(mary)&~patient(mary))))&
(![X]:((~strong(X)|~wise(X))<=>~funny(X)))&
(![X]:((tall(X)&wise(X))<=>(~funny(X)|patient(X))))&
(![X]:((~calm(X)<~>curious(X))=>(~old(X)|~kind(X))))&
((kind(paul))=>(?[X]:((old(X)|~creative(X)))))... | ~generous(alice) | [] | null | 0 |
Everyone who is either not generous or brave is not quiet and vice versa.
Everyone who is either funny or not tall is funny or not tall and vice versa.
Everyone who is both tall and not curious is calm.
Everyone who is not generous or not brave is humble and vice versa.
Everyone who is both not generous and brave is ri... | Alice is not brave. | entailment | (![X]:((~generous(X)<~>brave(X))<=>~quiet(X)))&
(![X]:((funny(X)<~>~tall(X))<=>(funny(X)|~tall(X))))&
(![X]:((tall(X)&~curious(X))=>calm(X)))&
(![X]:((~generous(X)|~brave(X))<=>humble(X)))&
(![X]:((~generous(X)&brave(X))<=>rich(X)))&
(![X]:(old(X)=>generous(X)))&
(![X]:((creative(X)&happy(X))<=>(happy(X)|curious(X))))&... | ~brave(alice) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p8",
"p10",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4106318879089938867842615
% SZS output start Proof for 4106318879089938867842615
1. ! [X0] : ((~generous(X0) <~> brave(X0)) <=> ~quiet(X0)) [input p0]
3. ! [X0] : ((~curious(X0) & tall(X0)) => calm(X0)) [input p2]
4. ! [X0] : ((~brave(X0) | ~generous(X0)) <=> humble(X0)) [input p3]
5. ! [... | 0 |
If someone is both not creative and not old then lucy is either not kind or funny. Everyone who is not quiet or happy is both not patient and not strong and vice versa. Everyone who is both patient and not tall is not wise. Everyone who is either curious or happy is not tall. Everyone who is either not funny or not wis... | Paul is funny. | contradiction | ((?[X]:((~creative(X)&~old(X))))=>((~kind(lucy)<~>funny(lucy))))&
(![X]:((~quiet(X)|happy(X))<=>(~patient(X)&~strong(X))))&
(![X]:((patient(X)&~tall(X))=>~wise(X)))&
(![X]:((curious(X)<~>happy(X))=>~tall(X)))&
(![X]:((~funny(X)<~>~wise(X))<=>(~happy(X)&~curious(X))))&
((~happy(fred))=>((~rich(susan)|curious(susan))))&
... | funny(paul) | [
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 623227114894677294360055
% SZS output start Proof for 623227114894677294360055
18. ~funny(paul) | ~calm(paul) [input p17]
19. ~kind(paul) & calm(paul) [input p18]
24. funny(paul) [input hypothesis]
108. ~funny(paul) | ~calm(paul) [cnf transformation 18]
109. calm(paul) [cnf transformation... | 0 |
Everyone who is not tall or not kind is either not rich or kind.
Everyone who is humble or creative is both not quiet and not kind.
If john is either not rich or not strong then someone is both rich and not strong.
Everyone who is either not old or not generous is curious and vice versa.
If lucy is funny or tall then s... | John is patient. | neutral | (![X]:((~tall(X)|~kind(X))=>(~rich(X)<~>kind(X))))&
(![X]:((humble(X)|creative(X))=>(~quiet(X)&~kind(X))))&
(((~rich(john)<~>~strong(john)))=>(?[X]:((rich(X)&~strong(X)))))&
(![X]:((~old(X)<~>~generous(X))<=>curious(X)))&
(((funny(lucy)|tall(lucy)))=>(?[X]:(funny(X))))&
(![X]:((~funny(X)&~old(X))<=>~generous(X)))&
(![X... | patient(john) | [] | null | 0 |
Everyone who is either not generous or happy is either brave or rich and vice versa.
Everyone who is both curious and not patient is not strong or not humble and vice versa.
Everyone who is not happy is not funny.
If john is strong or calm then someone is humble.
If someone is either creative or rich then john is both ... | Lucy is not strong. | neutral | (![X]:((~generous(X)<~>happy(X))<=>(brave(X)<~>rich(X))))&
(![X]:((curious(X)&~patient(X))<=>(~strong(X)|~humble(X))))&
(![X]:(~happy(X)=>~funny(X)))&
(((strong(john)|calm(john)))=>(?[X]:(humble(X))))&
((?[X]:((creative(X)<~>rich(X))))=>((~generous(john)&~happy(john))))&
(((kind(john)|~rich(john)))<=>(?[X]:((~funny(X)&... | ~strong(lucy) | [] | null | 0 |
If someone is both strong and happy then fred is both not humble and rich.
If mary is rich or happy then fred is either not tall or happy and vice versa.
Everyone who is not rich or humble is not funny or not humble.
If someone is either quiet or not strong then someone is not generous.
Everyone who is not creative is ... | Mary is funny. | entailment | ((?[X]:((strong(X)&happy(X))))=>((~humble(fred)&rich(fred))))&
(((rich(mary)|happy(mary)))<=>((~tall(fred)<~>happy(fred))))&
(![X]:((~rich(X)|humble(X))=>(~funny(X)|~humble(X))))&
((?[X]:((quiet(X)<~>~strong(X))))=>(?[X]:(~generous(X))))&
(![X]:(~creative(X)<=>(old(X)<~>patient(X))))&
((?[X]:((~strong(X)<~>happy(X))))=... | funny(mary) | [
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7126387694606842797639608
% SZS output start Proof for 7126387694606842797639608
9. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~humble(X0)) [input p8]
10. ! [X0] : ((~funny(X0) <~> calm(X0)) => (~rich(X0) & funny(X0))) [input p9]
13. ! [X0] : ((~old(X0) | ~calm(X0)) => ~happy(X0)) [input p12]
... | 0 |
Everyone who is both curious and brave is not brave and vice versa.
If paul is both not curious and wise then someone is quiet or not tall.
Everyone who is either calm or not kind is generous and vice versa.
Everyone who is not quiet or strong is both tall and not brave and vice versa.
Everyone who is happy or not stro... | Susan is not kind. | contradiction | (![X]:((curious(X)&brave(X))<=>~brave(X)))&
(((~curious(paul)&wise(paul)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((calm(X)<~>~kind(X))<=>generous(X)))&
(![X]:((~quiet(X)|strong(X))<=>(tall(X)&~brave(X))))&
(![X]:((happy(X)|~strong(X))=>(old(X)|~patient(X))))&
(((~humble(fred)&~happy(fred)))=>(?[X]:((rich(X)|~rich(X))))... | ~kind(susan) | [
"p0",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2122053095852952685443702
% SZS output start Proof for 2122053095852952685443702
1. ! [X0] : ((brave(X0) & curious(X0)) <=> ~brave(X0)) [input p0]
7. ! [X0] : (brave(X0) <=> (~calm(X0) & old(X0))) [input p6]
14. ? [X0] : (~calm(X0) <~> kind(X0)) <=> (~brave(susan) & generous(susan)) [inpu... | 0 |
Everyone who is not quiet is not tall or curious.
Everyone who is curious is either not kind or not humble and vice versa.
If john is patient or not strong then fred is not old or not happy and vice versa.
Everyone who is either not rich or generous is calm or not funny and vice versa.
Everyone who is not quiet is not ... | Lucy is calm. | entailment | (![X]:(~quiet(X)=>(~tall(X)|curious(X))))&
(![X]:(curious(X)<=>(~kind(X)<~>~humble(X))))&
(((patient(john)|~strong(john)))<=>((~old(fred)|~happy(fred))))&
(![X]:((~rich(X)<~>generous(X))<=>(calm(X)|~funny(X))))&
(![X]:(~quiet(X)=>~generous(X)))&
(![X]:((humble(X)|funny(X))<=>(calm(X)|kind(X))))&
(![X]:((~quiet(X)&~crea... | calm(lucy) | [
"p4",
"p5",
"p6",
"p8",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 42304280771588146884177
% SZS output start Proof for 42304280771588146884177
5. ! [X0] : (~quiet(X0) => ~generous(X0)) [input p4]
6. ! [X0] : ((funny(X0) | humble(X0)) <=> (kind(X0) | calm(X0))) [input p5]
7. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (creative(X0) | ~old(X0))) [input p6]... | 0 |
Everyone who is both not humble and kind is both curious and not tall and vice versa.
Everyone who is both happy and not humble is both rich and kind.
Everyone who is either creative or calm is both not wise and not funny and vice versa.
If susan is either calm or funny then someone is generous.
If susan is not calm th... | Susan is happy. | neutral | (![X]:((~humble(X)&kind(X))<=>(curious(X)&~tall(X))))&
(![X]:((happy(X)&~humble(X))=>(rich(X)&kind(X))))&
(![X]:((creative(X)<~>calm(X))<=>(~wise(X)&~funny(X))))&
(((calm(susan)<~>funny(susan)))=>(?[X]:(generous(X))))&
((~calm(susan))<=>(?[X]:((humble(X)<~>~creative(X)))))&
(![X]:((~kind(X)|curious(X))<=>(creative(X)<~... | happy(susan) | [] | null | 0 |
If alice is both not wise and not funny then someone is both not funny and rich and vice versa.
If mary is both not humble and not funny then someone is not quiet or happy and vice versa.
If someone is strong then fred is both creative and not patient and vice versa.
If alice is either quiet or creative then someone is... | Alice is quiet. | entailment | (((~wise(alice)&~funny(alice)))<=>(?[X]:((~funny(X)&rich(X)))))&
(((~humble(mary)&~funny(mary)))<=>(?[X]:((~quiet(X)|happy(X)))))&
((?[X]:(strong(X)))<=>((creative(fred)&~patient(fred))))&
(((quiet(alice)<~>creative(alice)))=>(?[X]:((~rich(X)&~happy(X)))))&
(![X]:(~funny(X)=>(generous(X)|brave(X))))&
((?[X]:((~funny(X)... | quiet(alice) | [
"p1",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3742406336810291539965415
% SZS output start Proof for 3742406336810291539965415
2. (~funny(mary) & ~humble(mary)) <=> ? [X0] : (happy(X0) | ~quiet(X0)) [input p1]
11. ! [X0] : ((~old(X0) | calm(X0)) => (~kind(X0) <~> old(X0))) [input p10]
13. ! [X0] : ((kind(X0) & ~calm(X0)) <=> (~patien... | 0 |
Everyone who is both wise and funny is both strong and wise and vice versa. Everyone who is not rich is either not curious or quiet. If someone is calm then alice is both not calm and not quiet. Everyone who is not happy is not rich and vice versa. If mary is either strong or old then someone is not happy. If someone i... | Alice is generous. | entailment | (![X]:((wise(X)&funny(X))<=>(strong(X)&wise(X))))&
(![X]:(~rich(X)=>(~curious(X)<~>quiet(X))))&
((?[X]:(calm(X)))=>((~calm(alice)&~quiet(alice))))&
(![X]:(~happy(X)<=>~rich(X)))&
(((strong(mary)<~>old(mary)))=>(?[X]:(~happy(X))))&
((?[X]:(funny(X)))<=>((~brave(john)|quiet(john))))&
(![X]:((~brave(X)|~patient(X))<=>(~pa... | generous(alice) | [
"p2",
"p3",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9053877732704548508420833
% SZS output start Proof for 9053877732704548508420833
3. ? [X0] : calm(X0) => (~quiet(alice) & ~calm(alice)) [input p2]
4. ! [X0] : (~happy(X0) <=> ~rich(X0)) [input p3]
14. ! [X0] : (happy(X0) <=> (kind(X0) & generous(X0))) [input p13]
15. ! [X0] : ((~calm(X0) ... | 0 |
Everyone who is both not quiet and rich is either not strong or brave. If someone is not old or not tall then alice is not happy and vice versa. If someone is quiet then paul is either strong or not happy. If paul is not quiet or tall then someone is creative or not rich. Everyone who is generous is either not rich or ... | Lucy is not wise. | entailment | (![X]:((~quiet(X)&rich(X))=>(~strong(X)<~>brave(X))))&
((?[X]:((~old(X)|~tall(X))))<=>(~happy(alice)))&
((?[X]:(quiet(X)))=>((strong(paul)<~>~happy(paul))))&
(((~quiet(paul)|tall(paul)))=>(?[X]:((creative(X)|~rich(X)))))&
(![X]:(generous(X)=>(~rich(X)<~>kind(X))))&
(![X]:((funny(X)&curious(X))<=>(wise(X)&~tall(X))))&
(... | ~wise(lucy) | [
"p5",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7795289053444925483139844
% SZS output start Proof for 7795289053444925483139844
6. ! [X0] : ((curious(X0) & funny(X0)) <=> (~tall(X0) & wise(X0))) [input p5]
15. ! [X0] : ((old(X0) | ~calm(X0)) => (patient(X0) <~> ~tall(X0))) [input p14]
18. old(lucy) & ~funny(lucy) [input p17]
22. ~pati... | 0 |
Everyone who is creative or funny is either not brave or not humble and vice versa.
If someone is both creative and happy then someone is either happy or not humble and vice versa.
Everyone who is curious or tall is brave.
Everyone who is creative or not funny is not creative and vice versa.
If someone is not funny or ... | Mary is wise. | contradiction | (![X]:((creative(X)|funny(X))<=>(~brave(X)<~>~humble(X))))&
((?[X]:((creative(X)&happy(X))))<=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:((curious(X)|tall(X))=>brave(X)))&
(![X]:((creative(X)|~funny(X))<=>~creative(X)))&
((?[X]:((~funny(X)|~strong(X))))=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~generous(X)|~curious... | wise(mary) | [
"p0",
"p2",
"p3",
"p5",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 804785221911589239625065
% SZS output start Proof for 804785221911589239625065
1. ! [X0] : ((funny(X0) | creative(X0)) <=> (~brave(X0) <~> ~humble(X0))) [input p0]
3. ! [X0] : ((tall(X0) | curious(X0)) => brave(X0)) [input p2]
4. ! [X0] : ((~funny(X0) | creative(X0)) <=> ~creative(X0)) [i... | 0 |
Everyone who is either not tall or not patient is either generous or creative and vice versa. If john is both happy and not kind then someone is either not happy or not funny. If john is both happy and not funny then someone is happy and vice versa. If someone is not calm then mary is creative. Everyone who is not old ... | Paul is rich. | entailment | (![X]:((~tall(X)<~>~patient(X))<=>(generous(X)<~>creative(X))))&
(((happy(john)&~kind(john)))=>(?[X]:((~happy(X)<~>~funny(X)))))&
(((happy(john)&~funny(john)))<=>(?[X]:(happy(X))))&
((?[X]:(~calm(X)))=>(creative(mary)))&
(![X]:((~old(X)|creative(X))<=>(calm(X)&~brave(X))))&
(![X]:((creative(X)|~happy(X))=>strong(X)))&
... | rich(paul) | [
"p7",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5368938863310431902518007
% SZS output start Proof for 5368938863310431902518007
8. ! [X0] : ((~curious(X0) | ~rich(X0)) <=> ~tall(X0)) [input p7]
12. ! [X0] : (~tall(X0) => (~happy(X0) & ~creative(X0))) [input p11]
20. creative(paul) [input p19]
25. ~rich(paul) [input hypothesis]
36. ! [... | 0 |
Everyone who is both not brave and patient is both not creative and not funny and vice versa. Everyone who is both wise and curious is either quiet or kind and vice versa. If paul is not kind then john is not humble or curious and vice versa. Everyone who is not wise is kind or not calm. Everyone who is not kind or not... | Susan is patient. | contradiction | (![X]:((~brave(X)&patient(X))<=>(~creative(X)&~funny(X))))&
(![X]:((wise(X)&curious(X))<=>(quiet(X)<~>kind(X))))&
((~kind(paul))<=>((~humble(john)|curious(john))))&
(![X]:(~wise(X)=>(kind(X)|~calm(X))))&
(![X]:((~kind(X)|~funny(X))=>(funny(X)&~old(X))))&
((?[X]:((generous(X)&~rich(X))))<=>(?[X]:((~generous(X)|~happy(X)... | patient(susan) | [
"p0",
"p4",
"p7",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3100686138510612809853954
% SZS output start Proof for 3100686138510612809853954
1. ! [X0] : ((patient(X0) & ~brave(X0)) <=> (~funny(X0) & ~creative(X0))) [input p0]
5. ! [X0] : ((~funny(X0) | ~kind(X0)) => (~old(X0) & funny(X0))) [input p4]
8. ! [X0] : ((curious(X0) & ~kind(X0)) <=> (qui... | 0 |
Everyone who is both calm and curious is wise or happy. If someone is both not calm and quiet then someone is not brave or not tall and vice versa. Everyone who is both not generous and kind is either not kind or not funny and vice versa. Everyone who is wise or quiet is both not curious and brave and vice versa. If so... | John is kind. | entailment | (![X]:((calm(X)&curious(X))=>(wise(X)|happy(X))))&
((?[X]:((~calm(X)&quiet(X))))<=>(?[X]:((~brave(X)|~tall(X)))))&
(![X]:((~generous(X)&kind(X))<=>(~kind(X)<~>~funny(X))))&
(![X]:((wise(X)|quiet(X))<=>(~curious(X)&brave(X))))&
((?[X]:((creative(X)<~>old(X))))=>(?[X]:((calm(X)&kind(X)))))&
(![X]:((~curious(X)&~old(X))=>... | kind(john) | [
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 40486939956852741633217
% SZS output start Proof for 40486939956852741633217
8. ! [X0] : ((~generous(X0) <~> generous(X0)) => (~wise(X0) <~> happy(X0))) [input p7]
12. ! [X0] : ((~old(X0) | ~kind(X0)) => ~patient(X0)) [input p11]
16. ? [X0] : (~patient(X0) | funny(X0)) <=> (wise(john) <~>... | 0 |
Everyone who is kind is not happy. If someone is not curious then susan is either not strong or funny. If someone is either calm or curious then someone is either wise or not happy and vice versa. If someone is either happy or not old then lucy is strong. If someone is both curious and patient then someone is either no... | Paul is wise. | entailment | (![X]:(kind(X)=>~happy(X)))&
((?[X]:(~curious(X)))=>((~strong(susan)<~>funny(susan))))&
((?[X]:((calm(X)<~>curious(X))))<=>(?[X]:((wise(X)<~>~happy(X)))))&
((?[X]:((happy(X)<~>~old(X))))=>(strong(lucy)))&
((?[X]:((curious(X)&patient(X))))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(((happy(susan)&~generous(susan)))=>(?[X]:((... | wise(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 173304292240314591825953
% SZS output start Proof for 173304292240314591825953
10. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> wise(X0)) [input p9]
24. ~wise(paul) [input hypothesis]
57. ! [X0] : ((((~humble(X0) | humble(X0)) & (humble(X0) | ~humble(X0))) | ~wise(X0)) & (wise(X0) | ((~humb... | 0 |
Everyone who is brave or not wise is either creative or not old and vice versa. Everyone who is either not wise or not funny is both kind and creative. Everyone who is either funny or not wise is strong or humble and vice versa. Everyone who is quiet or funny is both humble and brave and vice versa. Everyone who is not... | John is creative. | entailment | (![X]:((brave(X)|~wise(X))<=>(creative(X)<~>~old(X))))&
(![X]:((~wise(X)<~>~funny(X))=>(kind(X)&creative(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(strong(X)|humble(X))))&
(![X]:((quiet(X)|funny(X))<=>(humble(X)&brave(X))))&
(![X]:(~patient(X)<=>(rich(X)|~tall(X))))&
((?[X]:((funny(X)&generous(X))))=>((strong(lucy)&~brave(... | creative(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p7",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6150748683501676089419048
% SZS output start Proof for 6150748683501676089419048
1. ! [X0] : ((~wise(X0) | brave(X0)) <=> (creative(X0) <~> ~old(X0))) [input p0]
2. ! [X0] : ((~wise(X0) <~> ~funny(X0)) => (creative(X0) & kind(X0))) [input p1]
3. ! [X0] : ((funny(X0) <~> ~wise(X0)) <=> (hu... | 0 |
Everyone who is not patient or not calm is either rich or strong. If someone is not generous or tall then someone is kind and vice versa. Everyone who is both not quiet and not kind is not calm or patient and vice versa. Everyone who is both brave and not kind is not tall or not humble and vice versa. If someone is eit... | Susan is brave. | neutral | (![X]:((~patient(X)|~calm(X))=>(rich(X)<~>strong(X))))&
((?[X]:((~generous(X)|tall(X))))<=>(?[X]:(kind(X))))&
(![X]:((~quiet(X)&~kind(X))<=>(~calm(X)|patient(X))))&
(![X]:((brave(X)&~kind(X))<=>(~tall(X)|~humble(X))))&
((?[X]:((funny(X)<~>old(X))))<=>(?[X]:((generous(X)&~funny(X)))))&
((~patient(susan))=>((~old(fred)<~... | brave(susan) | [] | null | 0 |
If alice is either not quiet or not happy then someone is either creative or not old and vice versa.
Everyone who is not brave is both funny and not humble and vice versa.
If john is tall or not wise then someone is not strong.
Everyone who is both not funny and old is kind or rich.
Everyone who is strong or not creati... | John is not humble. | contradiction | (((~quiet(alice)<~>~happy(alice)))<=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:(~brave(X)<=>(funny(X)&~humble(X))))&
(((tall(john)|~wise(john)))=>(?[X]:(~strong(X))))&
(![X]:((~funny(X)&old(X))=>(kind(X)|rich(X))))&
(![X]:((strong(X)|~creative(X))=>patient(X)))&
(![X]:((happy(X)&generous(X))=>(quiet(X)|~patient(X))))&
(... | ~humble(john) | [
"p4",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4117707916675477220632621
% SZS output start Proof for 4117707916675477220632621
5. ! [X0] : ((~creative(X0) | strong(X0)) => patient(X0)) [input p4]
8. ! [X0] : (~humble(X0) <=> (calm(X0) & ~kind(X0))) [input p7]
10. ! [X0] : (tall(X0) => (~generous(X0) & humble(X0))) [input p9]
11. ! [X... | 0 |
If john is calm or generous then someone is not happy.
Everyone who is both not wise and calm is old.
If alice is either not strong or not brave then someone is funny and vice versa.
Everyone who is not tall or creative is either creative or not calm.
If fred is old or not strong then someone is old or kind and vice ve... | Mary is not creative. | contradiction | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![X]:((~wise(X)&calm(X))=>old(X)))&
(((~strong(alice)<~>~brave(alice)))<=>(?[X]:(funny(X))))&
(![X]:((~tall(X)|creative(X))=>(creative(X)<~>~calm(X))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(... | ~creative(mary) | [
"p5",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8370889879778041010322369
% SZS output start Proof for 8370889879778041010322369
6. ! [X0] : ((happy(X0) & ~creative(X0)) => (~generous(X0) & patient(X0))) [input p5]
8. ! [X0] : (~happy(X0) <=> (~creative(X0) <~> quiet(X0))) [input p7]
13. ! [X0] : (quiet(X0) <=> (~quiet(X0) | strong(X0)... | 0 |
If lucy is both not rich and rich then lucy is either rich or humble.
If someone is humble or brave then someone is kind.
If someone is both generous and not creative then paul is either quiet or not brave.
If someone is both not rich and rich then mary is rich and vice versa.
If susan is wise or not old then someone i... | Susan is tall. | contradiction | (((~rich(lucy)&rich(lucy)))=>((rich(lucy)<~>humble(lucy))))&
((?[X]:((humble(X)|brave(X))))=>(?[X]:(kind(X))))&
((?[X]:((generous(X)&~creative(X))))=>((quiet(paul)<~>~brave(paul))))&
((?[X]:((~rich(X)&rich(X))))<=>(rich(mary)))&
(((wise(susan)|~old(susan)))<=>(?[X]:((creative(X)<~>~generous(X)))))&
(![X]:(~wise(X)<=>~h... | tall(susan) | [
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5383826150775252980956046
% SZS output start Proof for 5383826150775252980956046
6. ! [X0] : (~wise(X0) <=> ~humble(X0)) [input p5]
10. ? [X0] : (curious(X0) | tall(X0)) => (humble(paul) & ~quiet(paul)) [input p9]
15. ! [X0] : (~wise(X0) <=> (~patient(X0) | patient(X0))) [input p14]
24. t... | 0 |
If someone is both not kind and not happy then someone is either not rich or not happy.
If john is either calm or strong then someone is both not kind and not quiet.
Everyone who is both not kind and old is quiet and vice versa.
If fred is either old or generous then someone is happy or calm.
Everyone who is either cre... | Alice is not tall. | neutral | ((?[X]:((~kind(X)&~happy(X))))=>(?[X]:((~rich(X)<~>~happy(X)))))&
(((calm(john)<~>strong(john)))=>(?[X]:((~kind(X)&~quiet(X)))))&
(![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<~>generous(fred)))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((creative(X)<~>~curious(X))=>(~creative(X)|happy(X))))&
(![X]:((humble(X)<~>~quie... | ~tall(alice) | [] | null | 0 |
If someone is not rich then someone is either not quiet or quiet. If susan is not kind or not funny then someone is not rich or creative and vice versa. Everyone who is not strong is both humble and calm. Everyone who is wise or humble is both quiet and not funny and vice versa. Everyone who is not generous is not old.... | Susan is not happy. | neutral | ((?[X]:(~rich(X)))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(((~kind(susan)|~funny(susan)))<=>(?[X]:((~rich(X)|creative(X)))))&
(![X]:(~strong(X)=>(humble(X)&calm(X))))&
(![X]:((wise(X)|humble(X))<=>(quiet(X)&~funny(X))))&
(![X]:(~generous(X)=>~old(X)))&
((creative(paul))<=>((rich(lucy)&~wise(lucy))))&
(![X]:((tall(X)<~>wise... | ~happy(susan) | [] | null | 0 |
Everyone who is brave is either quiet or not funny.
If someone is either not happy or not humble then someone is not creative.
Everyone who is either not kind or wise is not funny and vice versa.
If someone is either not humble or not brave then paul is tall or not brave.
Everyone who is not quiet or not rich is not qu... | Lucy is generous. | neutral | (![X]:(brave(X)=>(quiet(X)<~>~funny(X))))&
((?[X]:((~happy(X)<~>~humble(X))))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>wise(X))<=>~funny(X)))&
((?[X]:((~humble(X)<~>~brave(X))))=>((tall(paul)|~brave(paul))))&
(![X]:((~quiet(X)|~rich(X))=>~quiet(X)))&
((?[X]:((generous(X)<~>~generous(X))))<=>(?[X]:((~curious(X)<~>hum... | generous(lucy) | [] | null | 0 |
Everyone who is not generous is funny or not patient.
Everyone who is either not brave or generous is both not tall and happy.
Everyone who is both not kind and not patient is not tall.
If paul is either humble or patient then someone is patient or not old.
Everyone who is both not happy and creative is not curious or ... | Alice is not curious. | neutral | (![X]:(~generous(X)=>(funny(X)|~patient(X))))&
(![X]:((~brave(X)<~>generous(X))=>(~tall(X)&happy(X))))&
(![X]:((~kind(X)&~patient(X))=>~tall(X)))&
(((humble(paul)<~>patient(paul)))=>(?[X]:((patient(X)|~old(X)))))&
(![X]:((~happy(X)&creative(X))=>(~curious(X)|brave(X))))&
(![X]:((creative(X)<~>~quiet(X))<=>(strong(X)|~c... | ~curious(alice) | [] | null | 0 |
If fred is generous or not quiet then fred is kind or not rich. Everyone who is happy is not generous or quiet. Everyone who is not creative is generous or not wise and vice versa. Everyone who is either old or quiet is kind or not calm. If paul is either not happy or not quiet then paul is not tall or creative. Everyo... | Fred is brave. | neutral | (((generous(fred)|~quiet(fred)))=>((kind(fred)|~rich(fred))))&
(![X]:(happy(X)=>(~generous(X)|quiet(X))))&
(![X]:(~creative(X)<=>(generous(X)|~wise(X))))&
(![X]:((old(X)<~>quiet(X))=>(kind(X)|~calm(X))))&
(((~happy(paul)<~>~quiet(paul)))=>((~tall(paul)|creative(paul))))&
(![X]:((creative(X)|~wise(X))=>(wise(X)<~>~calm(... | brave(fred) | [] | null | 0 |
Everyone who is both not quiet and kind is curious and vice versa.
Everyone who is not curious or not happy is either curious or humble and vice versa.
If john is not generous then fred is not old or brave.
Everyone who is wise is not funny and vice versa.
If someone is both rich and not wise then someone is either qui... | Lucy is not tall. | neutral | (![X]:((~quiet(X)&kind(X))<=>curious(X)))&
(![X]:((~curious(X)|~happy(X))<=>(curious(X)<~>humble(X))))&
((~generous(john))=>((~old(fred)|brave(fred))))&
(![X]:(wise(X)<=>~funny(X)))&
((?[X]:((rich(X)&~wise(X))))=>(?[X]:((quiet(X)<~>brave(X)))))&
((?[X]:((old(X)|curious(X))))<=>((~strong(susan)|curious(susan))))&
(![X]:... | ~tall(lucy) | [] | null | 0 |
Everyone who is either not kind or not calm is creative or not kind and vice versa.
Everyone who is both funny and not calm is generous.
If someone is not strong then john is both not wise and not brave and vice versa.
Everyone who is quiet is both not strong and not brave.
Everyone who is kind or wise is both not brav... | Susan is not tall. | entailment | (![X]:((~kind(X)<~>~calm(X))<=>(creative(X)|~kind(X))))&
(![X]:((funny(X)&~calm(X))=>generous(X)))&
((?[X]:(~strong(X)))<=>((~wise(john)&~brave(john))))&
(![X]:(quiet(X)=>(~strong(X)&~brave(X))))&
(![X]:((kind(X)|wise(X))=>(~brave(X)&~calm(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(tall(X))))&
(![X]:((tall(X)&patient(X))<=>(~... | ~tall(susan) | [
"p0",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8780880698565340827822612
% SZS output start Proof for 8780880698565340827822612
1. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> (~kind(X0) | creative(X0))) [input p0]
6. ? [X0] : ~brave(X0) <=> ? [X0] : tall(X0) [input p5]
7. ! [X0] : ((patient(X0) & tall(X0)) <=> (~creative(X0) <~> ~calm(X0)... | 0 |
If fred is both calm and not brave then someone is either humble or not generous and vice versa. If lucy is happy or brave then mary is either not generous or rich. Everyone who is quiet or humble is either old or not wise and vice versa. Everyone who is not curious or not brave is not kind and vice versa. If someone i... | Susan is not rich. | neutral | (((calm(fred)&~brave(fred)))<=>(?[X]:((humble(X)<~>~generous(X)))))&
(((happy(lucy)|brave(lucy)))=>((~generous(mary)<~>rich(mary))))&
(![X]:((quiet(X)|humble(X))<=>(old(X)<~>~wise(X))))&
(![X]:((~curious(X)|~brave(X))<=>~kind(X)))&
((?[X]:((curious(X)&tall(X))))=>((rich(paul)|~calm(paul))))&
(((rich(mary)&quiet(mary)))... | ~rich(susan) | [] | null | 0 |
Everyone who is not old is rich or patient and vice versa.
Everyone who is both creative and old is both strong and happy.
If someone is not creative or strong then someone is either not funny or tall and vice versa.
Everyone who is not strong or not old is strong or not old.
Everyone who is both quiet and tall is eith... | Paul is wise. | neutral | (![X]:(~old(X)<=>(rich(X)|patient(X))))&
(![X]:((creative(X)&old(X))=>(strong(X)&happy(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((~funny(X)<~>tall(X)))))&
(![X]:((~strong(X)|~old(X))=>(strong(X)|~old(X))))&
(![X]:((quiet(X)&tall(X))<=>(happy(X)<~>~rich(X))))&
(![X]:((~tall(X)|funny(X))=>(~happy(X)<~>~wise(X)))... | wise(paul) | [] | null | 0 |
Everyone who is either not strong or tall is either happy or not humble and vice versa.
If mary is either not creative or not quiet then alice is patient or not patient.
Everyone who is either not happy or old is either patient or not humble and vice versa.
Everyone who is old is not happy or not calm.
If someone is ha... | Lucy is not curious. | entailment | (![X]:((~strong(X)<~>tall(X))<=>(happy(X)<~>~humble(X))))&
(((~creative(mary)<~>~quiet(mary)))=>((patient(alice)|~patient(alice))))&
(![X]:((~happy(X)<~>old(X))<=>(patient(X)<~>~humble(X))))&
(![X]:(old(X)=>(~happy(X)|~calm(X))))&
((?[X]:((happy(X)|tall(X))))=>((~patient(mary)&~tall(mary))))&
(![X]:(curious(X)<=>(~crea... | ~curious(lucy) | [
"p5",
"p10",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 422739066928599001857440
% SZS output start Proof for 422739066928599001857440
6. ! [X0] : (curious(X0) <=> (rich(X0) & ~creative(X0))) [input p5]
11. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (~patient(X0) <~> ~rich(X0))) [input p10]
15. ! [X0] : ((~rich(X0) & ~patient(X0)) <=> (~patien... | 0 |
If someone is both not rich and not wise then someone is either calm or curious.
Everyone who is calm or not creative is humble or not humble.
Everyone who is not rich or quiet is not patient and vice versa.
Everyone who is both not generous and not old is not funny and vice versa.
Everyone who is either happy or not k... | Lucy is tall. | neutral | ((?[X]:((~rich(X)&~wise(X))))=>(?[X]:((calm(X)<~>curious(X)))))&
(![X]:((calm(X)|~creative(X))=>(humble(X)|~humble(X))))&
(![X]:((~rich(X)|quiet(X))<=>~patient(X)))&
(![X]:((~generous(X)&~old(X))<=>~funny(X)))&
(![X]:((happy(X)<~>~kind(X))=>(~wise(X)|strong(X))))&
((?[X]:((~calm(X)<~>~rich(X))))<=>(?[X]:((kind(X)|~kind... | tall(lucy) | [] | null | 0 |
Everyone who is old or patient is either kind or not quiet. Everyone who is creative or not generous is both generous and not calm and vice versa. If susan is not wise then someone is both old and rich. If lucy is either creative or wise then someone is both not curious and humble. Everyone who is brave or not tall is ... | Lucy is generous. | entailment | (![X]:((old(X)|patient(X))=>(kind(X)<~>~quiet(X))))&
(![X]:((creative(X)|~generous(X))<=>(generous(X)&~calm(X))))&
((~wise(susan))=>(?[X]:((old(X)&rich(X)))))&
(((creative(lucy)<~>wise(lucy)))=>(?[X]:((~curious(X)&humble(X)))))&
(![X]:((brave(X)|~tall(X))=>(tall(X)&quiet(X))))&
(![X]:((wise(X)&~quiet(X))=>(~patient(X)<... | generous(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5246090116571099166136317
% SZS output start Proof for 5246090116571099166136317
2. ! [X0] : ((~generous(X0) | creative(X0)) <=> (~calm(X0) & generous(X0))) [input p1]
23. ~generous(lucy) [input hypothesis]
43. ! [X0] : (((~generous(X0) | creative(X0)) | (calm(X0) | ~generous(X0))) & ((~c... | 0 |
Everyone who is either funny or not generous is creative.
If alice is patient or not old then lucy is either calm or brave and vice versa.
Everyone who is both not tall and tall is either calm or not creative and vice versa.
Everyone who is not brave or not quiet is either rich or strong.
If alice is both funny and not... | Lucy is calm. | neutral | (![X]:((funny(X)<~>~generous(X))=>creative(X)))&
(((patient(alice)|~old(alice)))<=>((calm(lucy)<~>brave(lucy))))&
(![X]:((~tall(X)&tall(X))<=>(calm(X)<~>~creative(X))))&
(![X]:((~brave(X)|~quiet(X))=>(rich(X)<~>strong(X))))&
(((funny(alice)&~creative(alice)))<=>((funny(fred)|~calm(fred))))&
(((~happy(fred)|~humble(fred... | calm(lucy) | [] | null | 0 |
Everyone who is either strong or not wise is happy and vice versa. Everyone who is curious is calm. Everyone who is either curious or not brave is strong and vice versa. Everyone who is either not wise or not kind is both quiet and brave and vice versa. Everyone who is both curious and not creative is not funny or calm... | Fred is happy. | neutral | (![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious(X)&~creative(X))<=>(~funny(X)|calm(X))))&
((rich(fred))=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:((~brave(X)|quiet(X))<=>quiet(X)))... | happy(fred) | [] | null | 0 |
If someone is not old then someone is both not wise and not old and vice versa. If someone is happy then someone is both happy and tall. Everyone who is both rich and not strong is either humble or curious and vice versa. Everyone who is curious is tall. Everyone who is either strong or not curious is calm or not kind ... | John is not strong. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((~wise(X)&~old(X)))))&
((?[X]:(happy(X)))=>(?[X]:((happy(X)&tall(X)))))&
(![X]:((rich(X)&~strong(X))<=>(humble(X)<~>curious(X))))&
(![X]:(curious(X)=>tall(X)))&
(![X]:((strong(X)<~>~curious(X))<=>(calm(X)|~kind(X))))&
(![X]:((~generous(X)<~>~curious(X))<=>(~tall(X)|patient(X))))&
((?[X]:(kind... | ~strong(john) | [
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7072896248591959096947692
% SZS output start Proof for 7072896248591959096947692
13. ! [X0] : ((~calm(X0) & rich(X0)) <=> (generous(X0) | calm(X0))) [input p12]
14. ! [X0] : (~generous(X0) <=> ~strong(X0)) [input p13]
15. ! [X0] : ((~humble(X0) | ~rich(X0)) => (strong(X0) & generous(X0)))... | 0 |
Everyone who is wise or calm is both quiet and not wise. If mary is not brave then susan is either kind or not strong. If someone is both not wise and not brave then lucy is not strong or brave and vice versa. Everyone who is either quiet or old is calm. Everyone who is either not curious or not calm is not brave or qu... | Susan is not quiet. | neutral | (![X]:((wise(X)|calm(X))=>(quiet(X)&~wise(X))))&
((~brave(mary))=>((kind(susan)<~>~strong(susan))))&
((?[X]:((~wise(X)&~brave(X))))<=>((~strong(lucy)|brave(lucy))))&
(![X]:((quiet(X)<~>old(X))=>calm(X)))&
(![X]:((~curious(X)<~>~calm(X))=>(~brave(X)|quiet(X))))&
(((patient(fred)&happy(fred)))<=>(?[X]:((humble(X)<~>kind(... | ~quiet(susan) | [] | null | 0 |
Everyone who is either old or not old is either humble or kind and vice versa.
Everyone who is not kind is both brave and creative and vice versa.
Everyone who is both strong and not strong is both not kind and not strong and vice versa.
Everyone who is either not funny or not curious is either strong or quiet and vice... | Lucy is creative. | contradiction | (![X]:((old(X)<~>~old(X))<=>(humble(X)<~>kind(X))))&
(![X]:(~kind(X)<=>(brave(X)&creative(X))))&
(![X]:((strong(X)&~strong(X))<=>(~kind(X)&~strong(X))))&
(![X]:((~funny(X)<~>~curious(X))<=>(strong(X)<~>quiet(X))))&
((?[X]:(~old(X)))=>(humble(lucy)))&
((?[X]:(funny(X)))<=>(?[X]:((patient(X)<~>kind(X)))))&
(![X]:((brave(... | creative(lucy) | [
"p1",
"p2",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3149564184493484916156355
% SZS output start Proof for 3149564184493484916156355
2. ! [X0] : (~kind(X0) <=> (creative(X0) & brave(X0))) [input p1]
3. ! [X0] : ((~strong(X0) & strong(X0)) <=> (~strong(X0) & ~kind(X0))) [input p2]
7. ! [X0] : ((creative(X0) & brave(X0)) <=> (generous(X0) | ... | 0 |
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