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 susan is not funny or not old then fred is curious and vice versa. Everyone who is kind is both patient and tall and vice versa. Everyone who is both not happy and tall is both curious and creative. Everyone who is not creative is either not kind or not rich and vice versa. If someone is both not strong and kind the... | John is not creative. | contradiction | (((~funny(susan)|~old(susan)))<=>(curious(fred)))&
(![X]:(kind(X)<=>(patient(X)&tall(X))))&
(![X]:((~happy(X)&tall(X))=>(curious(X)&creative(X))))&
(![X]:(~creative(X)<=>(~kind(X)<~>~rich(X))))&
((?[X]:((~strong(X)&kind(X))))=>(quiet(alice)))&
(![X]:((brave(X)|quiet(X))<=>(~creative(X)|~brave(X))))&
(((wise(susan)<~>~h... | ~creative(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 489059144609949454784022
% SZS output start Proof for 489059144609949454784022
8. ! [X0] : ((~generous(X0) | generous(X0)) <=> (creative(X0) & humble(X0))) [input p7]
24. ~creative(john) [input hypothesis]
42. ! [X0] : (((~generous(X0) | generous(X0)) | (~creative(X0) | ~humble(X0))) & ((... | 0 |
Everyone who is both patient and funny is not strong or not creative and vice versa.
If fred is not rich or wise then someone is not strong or rich and vice versa.
If paul is both not curious and not strong then susan is both curious and not humble and vice versa.
If fred is rich or tall then someone is either humble o... | Alice is rich. | entailment | (![X]:((patient(X)&funny(X))<=>(~strong(X)|~creative(X))))&
(((~rich(fred)|wise(fred)))<=>(?[X]:((~strong(X)|rich(X)))))&
(((~curious(paul)&~strong(paul)))<=>((curious(susan)&~humble(susan))))&
(((rich(fred)|tall(fred)))=>(?[X]:((humble(X)<~>kind(X)))))&
((?[X]:(happy(X)))<=>((~wise(alice)&~funny(alice))))&
(((~happy(p... | rich(alice) | [
"p0",
"p4",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 127049023023158899626660
% SZS output start Proof for 127049023023158899626660
1. ! [X0] : ((funny(X0) & patient(X0)) <=> (~creative(X0) | ~strong(X0))) [input p0]
5. ? [X0] : happy(X0) <=> (~funny(alice) & ~wise(alice)) [input p4]
10. ! [X0] : (tall(X0) <=> ~rich(X0)) [input p9]
12. ! [X... | 0 |
Everyone who is not calm is rich and vice versa. If someone is both not strong and not humble then someone is old and vice versa. Everyone who is either funny or not patient is either not wise or not calm. Everyone who is strong or rich is not patient or not quiet and vice versa. Everyone who is both quiet and not happ... | Alice is not funny. | neutral | (![X]:(~calm(X)<=>rich(X)))&
((?[X]:((~strong(X)&~humble(X))))<=>(?[X]:(old(X))))&
(![X]:((funny(X)<~>~patient(X))=>(~wise(X)<~>~calm(X))))&
(![X]:((strong(X)|rich(X))<=>(~patient(X)|~quiet(X))))&
(![X]:((quiet(X)&~happy(X))=>(generous(X)<~>~patient(X))))&
(![X]:((patient(X)|generous(X))=>(funny(X)<~>~patient(X))))&
(!... | ~funny(alice) | [] | null | 0 |
If someone is brave or not rich then fred is either not funny or not old. Everyone who is either not rich or wise is either not strong or wise and vice versa. If paul is either not happy or not tall then susan is not happy or not strong and vice versa. Everyone who is both wise and not creative is creative or generous ... | John is happy. | contradiction | ((?[X]:((brave(X)|~rich(X))))=>((~funny(fred)<~>~old(fred))))&
(![X]:((~rich(X)<~>wise(X))<=>(~strong(X)<~>wise(X))))&
(((~happy(paul)<~>~tall(paul)))<=>((~happy(susan)|~strong(susan))))&
(![X]:((wise(X)&~creative(X))<=>(creative(X)|generous(X))))&
(((quiet(susan)<~>~strong(susan)))=>((~kind(alice)|~brave(alice))))&
(!... | happy(john) | [
"p6",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8642158866533904858312240
% SZS output start Proof for 8642158866533904858312240
7. ! [X0] : (rich(X0) <=> (~curious(X0) & curious(X0))) [input p6]
9. ! [X0] : ((creative(X0) | tall(X0)) <=> (rich(X0) & generous(X0))) [input p8]
11. ! [X0] : ((happy(X0) & ~tall(X0)) <=> curious(X0)) [inpu... | 0 |
Everyone who is both not rich and not patient is not generous and vice versa.
If someone is both old and wise then someone is not patient.
Everyone who is both not generous and not wise is curious or not patient and vice versa.
If someone is either calm or curious then someone is both quiet and not funny.
Everyone who ... | Fred is old. | neutral | (![X]:((~rich(X)&~patient(X))<=>~generous(X)))&
((?[X]:((old(X)&wise(X))))=>(?[X]:(~patient(X))))&
(![X]:((~generous(X)&~wise(X))<=>(curious(X)|~patient(X))))&
((?[X]:((calm(X)<~>curious(X))))=>(?[X]:((quiet(X)&~funny(X)))))&
(![X]:((funny(X)&~creative(X))=>(tall(X)&rich(X))))&
(![X]:((curious(X)|happy(X))=>(old(X)&bra... | old(fred) | [] | null | 0 |
Everyone who is either happy or funny is wise and vice versa.
Everyone who is either not happy or not funny is generous and vice versa.
If paul is not patient then someone is either not old or not kind and vice versa.
Everyone who is either rich or happy is either not curious or humble.
Everyone who is either not quiet... | Lucy is not wise. | entailment | (![X]:((happy(X)<~>funny(X))<=>wise(X)))&
(![X]:((~happy(X)<~>~funny(X))<=>generous(X)))&
((~patient(paul))<=>(?[X]:((~old(X)<~>~kind(X)))))&
(![X]:((rich(X)<~>happy(X))=>(~curious(X)<~>humble(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(rich(X)<~>strong(X))))&
(![X]:((~strong(X)|~generous(X))<=>~quiet(X)))&
(![X]:((~patien... | ~wise(lucy) | [
"p0",
"p1",
"p5",
"p11",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 517368825674962553034353
% SZS output start Proof for 517368825674962553034353
1. ! [X0] : ((happy(X0) <~> funny(X0)) <=> wise(X0)) [input p0]
2. ! [X0] : ((~happy(X0) <~> ~funny(X0)) <=> generous(X0)) [input p1]
6. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> ~quiet(X0)) [input p5]
12. ! ... | 0 |
Everyone who is wise or not tall is curious.
Everyone who is either not creative or humble is happy or not creative and vice versa.
If alice is either generous or not tall then fred is not creative and vice versa.
If paul is creative then john is both not strong and not happy and vice versa.
Everyone who is not kind or... | Paul is curious. | entailment | (![X]:((wise(X)|~tall(X))=>curious(X)))&
(![X]:((~creative(X)<~>humble(X))<=>(happy(X)|~creative(X))))&
(((generous(alice)<~>~tall(alice)))<=>(~creative(fred)))&
((creative(paul))<=>((~strong(john)&~happy(john))))&
(![X]:((~kind(X)|creative(X))<=>(~quiet(X)|~happy(X))))&
(![X]:(~calm(X)=>(creative(X)|~tall(X))))&
(![X]... | curious(paul) | [
"p0",
"p5",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8149936226825947713524574
% SZS output start Proof for 8149936226825947713524574
1. ! [X0] : ((~tall(X0) | wise(X0)) => curious(X0)) [input p0]
6. ! [X0] : (~calm(X0) => (~tall(X0) | creative(X0))) [input p5]
10. ! [X0] : (curious(X0) <=> ~quiet(X0)) [input p9]
15. ! [X0] : ((generous(X0)... | 0 |
If mary is quiet then alice is both tall and quiet and vice versa.
Everyone who is not rich is either curious or not rich and vice versa.
If mary is not quiet or patient then lucy is strong or not old and vice versa.
Everyone who is not creative is not generous and vice versa.
Everyone who is either not rich or not kin... | Lucy is not humble. | neutral | ((quiet(mary))<=>((tall(alice)&quiet(alice))))&
(![X]:(~rich(X)<=>(curious(X)<~>~rich(X))))&
(((~quiet(mary)|patient(mary)))<=>((strong(lucy)|~old(lucy))))&
(![X]:(~creative(X)<=>~generous(X)))&
(![X]:((~rich(X)<~>~kind(X))<=>~kind(X)))&
((patient(susan))<=>((old(susan)|patient(susan))))&
(![X]:((~brave(X)&~strong(X))<... | ~humble(lucy) | [] | null | 0 |
Everyone who is not brave or not patient is either curious or not patient. Everyone who is rich is both rich and not strong. Everyone who is not strong is not curious or not brave and vice versa. Everyone who is either not funny or old is both tall and patient. Everyone who is generous is not funny and vice versa. If s... | Lucy is not humble. | contradiction | (![X]:((~brave(X)|~patient(X))=>(curious(X)<~>~patient(X))))&
(![X]:(rich(X)=>(rich(X)&~strong(X))))&
(![X]:(~strong(X)<=>(~curious(X)|~brave(X))))&
(![X]:((~funny(X)<~>old(X))=>(tall(X)&patient(X))))&
(![X]:(generous(X)<=>~funny(X)))&
((?[X]:(~patient(X)))<=>(?[X]:(old(X))))&
(![X]:((~brave(X)&~kind(X))<=>(creative(X)... | ~humble(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 255116951179040802151031
% SZS output start Proof for 255116951179040802151031
2. ! [X0] : (rich(X0) => (~strong(X0) & rich(X0))) [input p1]
3. ! [X0] : (~strong(X0) <=> (~brave(X0) | ~curious(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> old(X0)) => (patient(X0) & tall(X0))) [input p3]
5... | 0 |
If someone is either happy or strong then someone is either not brave or not kind and vice versa.
If john is both not funny and not happy then alice is not rich.
Everyone who is old or creative is not generous and vice versa.
Everyone who is happy is not old or funny.
Everyone who is both not funny and rich is both not... | Alice is not patient. | contradiction | ((?[X]:((happy(X)<~>strong(X))))<=>(?[X]:((~brave(X)<~>~kind(X)))))&
(((~funny(john)&~happy(john)))=>(~rich(alice)))&
(![X]:((old(X)|creative(X))<=>~generous(X)))&
(![X]:(happy(X)=>(~old(X)|funny(X))))&
(![X]:((~funny(X)&rich(X))<=>(~old(X)&~strong(X))))&
(![X]:((curious(X)|humble(X))=>generous(X)))&
(![X]:((humble(X)<... | ~patient(alice) | [
"p2",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7328772596290889418916992
% SZS output start Proof for 7328772596290889418916992
3. ! [X0] : ((creative(X0) | old(X0)) <=> ~generous(X0)) [input p2]
10. ! [X0] : ((~kind(X0) | ~creative(X0)) <=> (patient(X0) <~> ~brave(X0))) [input p9]
11. ! [X0] : (~creative(X0) <=> (calm(X0) & brave(X0)... | 0 |
Everyone who is either tall or not old is humble or not old.
Everyone who is calm or generous is both not tall and not patient.
Everyone who is both not funny and funny is strong or tall.
If someone is not curious or curious then someone is either rich or brave.
If someone is either not quiet or not strong then mary is... | Paul is curious. | neutral | (![X]:((tall(X)<~>~old(X))=>(humble(X)|~old(X))))&
(![X]:((calm(X)|generous(X))=>(~tall(X)&~patient(X))))&
(![X]:((~funny(X)&funny(X))=>(strong(X)|tall(X))))&
((?[X]:((~curious(X)|curious(X))))=>(?[X]:((rich(X)<~>brave(X)))))&
((?[X]:((~quiet(X)<~>~strong(X))))<=>((~old(mary)|quiet(mary))))&
(![X]:((~patient(X)<~>stron... | curious(paul) | [] | null | 0 |
If susan is both not wise and not patient then someone is not old or not rich and vice versa.
Everyone who is either brave or not patient is either happy or funny and vice versa.
Everyone who is brave or not curious is both patient and generous.
Everyone who is both not tall and tall is happy or not calm and vice versa... | Fred is not brave. | entailment | (((~wise(susan)&~patient(susan)))<=>(?[X]:((~old(X)|~rich(X)))))&
(![X]:((brave(X)<~>~patient(X))<=>(happy(X)<~>funny(X))))&
(![X]:((brave(X)|~curious(X))=>(patient(X)&generous(X))))&
(![X]:((~tall(X)&tall(X))<=>(happy(X)|~calm(X))))&
(![X]:((calm(X)<~>old(X))<=>(~curious(X)&funny(X))))&
((~strong(paul))<=>(?[X]:((~qui... | ~brave(fred) | [
"p1",
"p2",
"p3",
"p8",
"p9",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5419557858012632233754641
% SZS output start Proof for 5419557858012632233754641
2. ! [X0] : ((brave(X0) <~> ~patient(X0)) <=> (happy(X0) <~> funny(X0))) [input p1]
3. ! [X0] : ((~curious(X0) | brave(X0)) => (generous(X0) & patient(X0))) [input p2]
4. ! [X0] : ((tall(X0) & ~tall(X0)) <=> ... | 0 |
If alice is both not strong and not creative then someone is not strong or wise.
If paul is not curious or not humble then lucy is not humble and vice versa.
If mary is either not kind or not funny then someone is not old.
If paul is not brave then alice is kind or not creative.
Everyone who is either funny or not quie... | Alice is creative. | neutral | (((~strong(alice)&~creative(alice)))=>(?[X]:((~strong(X)|wise(X)))))&
(((~curious(paul)|~humble(paul)))<=>(~humble(lucy)))&
(((~kind(mary)<~>~funny(mary)))=>(?[X]:(~old(X))))&
((~brave(paul))=>((kind(alice)|~creative(alice))))&
(![X]:((funny(X)<~>~quiet(X))<=>(creative(X)|curious(X))))&
(![X]:((~generous(X)&funny(X))=>... | creative(alice) | [] | null | 0 |
Everyone who is either not old or kind is brave.
Everyone who is either not rich or brave is both funny and not brave.
If mary is either not creative or tall then someone is either not patient or strong.
If mary is quiet or wise then paul is old.
Everyone who is generous is funny and vice versa.
If someone is creative ... | Susan is not brave. | neutral | (![X]:((~old(X)<~>kind(X))=>brave(X)))&
(![X]:((~rich(X)<~>brave(X))=>(funny(X)&~brave(X))))&
(((~creative(mary)<~>tall(mary)))=>(?[X]:((~patient(X)<~>strong(X)))))&
(((quiet(mary)|wise(mary)))=>(old(paul)))&
(![X]:(generous(X)<=>funny(X)))&
((?[X]:(creative(X)))=>((tall(susan)&~quiet(susan))))&
(![X]:((~rich(X)<~>brav... | ~brave(susan) | [] | null | 0 |
Everyone who is either curious or not kind is both not creative and creative and vice versa.
Everyone who is brave is not rich or tall and vice versa.
If someone is brave or tall then someone is not wise or not funny.
If someone is not tall or old then someone is either strong or calm.
Everyone who is either strong or ... | Mary is happy. | neutral | (![X]:((curious(X)<~>~kind(X))<=>(~creative(X)&creative(X))))&
(![X]:(brave(X)<=>(~rich(X)|tall(X))))&
((?[X]:((brave(X)|tall(X))))=>(?[X]:((~wise(X)|~funny(X)))))&
((?[X]:((~tall(X)|old(X))))=>(?[X]:((strong(X)<~>calm(X)))))&
(![X]:((strong(X)<~>~strong(X))=>(funny(X)|~calm(X))))&
(![X]:((~curious(X)<~>~humble(X))<=>~... | happy(mary) | [] | null | 0 |
Everyone who is curious is either not calm or humble and vice versa. If someone is either not curious or not wise then someone is either not calm or not creative and vice versa. If alice is happy then john is either not old or generous. If someone is rich or not funny then john is generous or not creative and vice vers... | Lucy is curious. | neutral | (![X]:(curious(X)<=>(~calm(X)<~>humble(X))))&
((?[X]:((~curious(X)<~>~wise(X))))<=>(?[X]:((~calm(X)<~>~creative(X)))))&
((happy(alice))=>((~old(john)<~>generous(john))))&
((?[X]:((rich(X)|~funny(X))))<=>((generous(john)|~creative(john))))&
(![X]:(~tall(X)<=>(curious(X)&old(X))))&
((?[X]:((~calm(X)|~tall(X))))<=>((tall(... | curious(lucy) | [] | null | 0 |
Everyone who is not humble or funny is not strong or quiet and vice versa. Everyone who is funny is tall. Everyone who is either wise or not tall is both curious and generous. If fred is calm then mary is kind. Everyone who is not humble is calm and vice versa. If someone is both calm and not happy then paul is both no... | John is funny. | contradiction | (![X]:((~humble(X)|funny(X))<=>(~strong(X)|quiet(X))))&
(![X]:(funny(X)=>tall(X)))&
(![X]:((wise(X)<~>~tall(X))=>(curious(X)&generous(X))))&
((calm(fred))=>(kind(mary)))&
(![X]:(~humble(X)<=>calm(X)))&
((?[X]:((calm(X)&~happy(X))))=>((~funny(paul)&~kind(paul))))&
((~funny(john))<=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:(... | funny(john) | [
"p3",
"p4",
"p6",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7900313864873847906757037
% SZS output start Proof for 7900313864873847906757037
4. calm(fred) => kind(mary) [input p3]
5. ! [X0] : (~humble(X0) <=> calm(X0)) [input p4]
7. ~funny(john) <=> ? [X0] : (~funny(X0) & kind(X0)) [input p6]
8. ! [X0] : ((humble(X0) | ~rich(X0)) => (~humble(X0) &... | 0 |
If fred is both brave and tall then fred is not generous or not tall. Everyone who is not wise is brave or not patient. Everyone who is wise is rich or creative. Everyone who is either not rich or not calm is creative and vice versa. Everyone who is not calm is both not humble and not rich. Everyone who is either tall ... | Susan is not curious. | contradiction | (((brave(fred)&tall(fred)))=>((~generous(fred)|~tall(fred))))&
(![X]:(~wise(X)=>(brave(X)|~patient(X))))&
(![X]:(wise(X)=>(rich(X)|creative(X))))&
(![X]:((~rich(X)<~>~calm(X))<=>creative(X)))&
(![X]:(~calm(X)=>(~humble(X)&~rich(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(~curious(X)&patient(X))))&
(![X]:((creative(X)<~>~ri... | ~curious(susan) | [
"p4",
"p6",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 516424339285807993553124
% SZS output start Proof for 516424339285807993553124
5. ! [X0] : (~calm(X0) => (~rich(X0) & ~humble(X0))) [input p4]
7. ! [X0] : ((creative(X0) <~> ~rich(X0)) => curious(X0)) [input p6]
9. ? [X0] : (~calm(X0) & creative(X0)) <=> ? [X0] : (~quiet(X0) & quiet(X0)) ... | 0 |
Everyone who is either quiet or kind is either not calm or happy. Everyone who is not kind or kind is either calm or not brave and vice versa. Everyone who is either old or creative is not kind or funny and vice versa. Everyone who is both not generous and happy is either wise or not happy. Everyone who is not funny or... | Alice is not creative. | neutral | (![X]:((quiet(X)<~>kind(X))=>(~calm(X)<~>happy(X))))&
(![X]:((~kind(X)|kind(X))<=>(calm(X)<~>~brave(X))))&
(![X]:((old(X)<~>creative(X))<=>(~kind(X)|funny(X))))&
(![X]:((~generous(X)&happy(X))=>(wise(X)<~>~happy(X))))&
(![X]:((~funny(X)|~quiet(X))=>(~patient(X)&~generous(X))))&
((?[X]:((tall(X)&funny(X))))=>(?[X]:((~fu... | ~creative(alice) | [] | null | 0 |
Everyone who is not patient or curious is funny and vice versa. If fred is either quiet or not rich then susan is not old. Everyone who is both brave and funny is curious or generous and vice versa. Everyone who is both strong and funny is either humble or wise. Everyone who is either not curious or happy is either kin... | Fred is not creative. | neutral | (![X]:((~patient(X)|curious(X))<=>funny(X)))&
(((quiet(fred)<~>~rich(fred)))=>(~old(susan)))&
(![X]:((brave(X)&funny(X))<=>(curious(X)|generous(X))))&
(![X]:((strong(X)&funny(X))=>(humble(X)<~>wise(X))))&
(![X]:((~curious(X)<~>happy(X))=>(kind(X)<~>~old(X))))&
(![X]:((~old(X)<~>calm(X))=>quiet(X)))&
(![X]:((~patient(X)... | ~creative(fred) | [] | null | 0 |
Everyone who is calm or curious is tall or not generous.
If someone is both old and not calm then fred is calm.
Everyone who is not quiet is patient and vice versa.
If john is kind then someone is brave or curious and vice versa.
Everyone who is not generous or creative is rich or funny and vice versa.
Everyone who is ... | Fred is curious. | contradiction | (![X]:((calm(X)|curious(X))=>(tall(X)|~generous(X))))&
((?[X]:((old(X)&~calm(X))))=>(calm(fred)))&
(![X]:(~quiet(X)<=>patient(X)))&
((kind(john))<=>(?[X]:((brave(X)|curious(X)))))&
(![X]:((~generous(X)|creative(X))<=>(rich(X)|funny(X))))&
(![X]:(rich(X)=>(calm(X)&~kind(X))))&
(![X]:(rich(X)<=>(~funny(X)|~creative(X))))... | curious(fred) | [
"p3",
"p5",
"p6",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 133294232205588850565048
% SZS output start Proof for 133294232205588850565048
4. kind(john) <=> ? [X0] : (curious(X0) | brave(X0)) [input p3]
6. ! [X0] : (rich(X0) => (~kind(X0) & calm(X0))) [input p5]
7. ! [X0] : (rich(X0) <=> (~creative(X0) | ~funny(X0))) [input p6]
10. ! [X0] : (~tall... | 0 |
If lucy is either not funny or strong then someone is not wise or not strong and vice versa.
Everyone who is strong or not calm is either not humble or not old.
Everyone who is not quiet is either funny or creative and vice versa.
Everyone who is both not quiet and not curious is either not curious or patient.
If someo... | Alice is not humble. | neutral | (((~funny(lucy)<~>strong(lucy)))<=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((strong(X)|~calm(X))=>(~humble(X)<~>~old(X))))&
(![X]:(~quiet(X)<=>(funny(X)<~>creative(X))))&
(![X]:((~quiet(X)&~curious(X))=>(~curious(X)<~>patient(X))))&
((?[X]:((~happy(X)<~>calm(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((~strong(X)&~humble(X))))<... | ~humble(alice) | [] | null | 0 |
If john is either not curious or not rich then someone is not creative. Everyone who is both not tall and not generous is not rich and vice versa. Everyone who is wise is not rich. If susan is quiet or not curious then lucy is not old or humble. If someone is rich or creative then someone is not rich or not calm. If pa... | John is not creative. | entailment | (((~curious(john)<~>~rich(john)))=>(?[X]:(~creative(X))))&
(![X]:((~tall(X)&~generous(X))<=>~rich(X)))&
(![X]:(wise(X)=>~rich(X)))&
(((quiet(susan)|~curious(susan)))=>((~old(lucy)|humble(lucy))))&
((?[X]:((rich(X)|creative(X))))=>(?[X]:((~rich(X)|~calm(X)))))&
(((~humble(paul)<~>wise(paul)))=>(kind(mary)))&
(![X]:((~cr... | ~creative(john) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 573415725183622162510700
% SZS output start Proof for 573415725183622162510700
7. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> (kind(X0) | strong(X0))) [input p6]
15. ! [X0] : ((~creative(X0) <~> ~kind(X0)) <=> kind(X0)) [input p14]
25. creative(john) [input hypothesis]
50. ! [X0] : (((~calm... | 0 |
If mary is both rich and patient then alice is both not strong and not tall.
Everyone who is rich or happy is either not quiet or strong and vice versa.
If mary is both tall and happy then someone is not calm.
If someone is not tall then mary is either not curious or not funny.
If lucy is either not humble or generous ... | Susan is not kind. | entailment | (((rich(mary)&patient(mary)))=>((~strong(alice)&~tall(alice))))&
(![X]:((rich(X)|happy(X))<=>(~quiet(X)<~>strong(X))))&
(((tall(mary)&happy(mary)))=>(?[X]:(~calm(X))))&
((?[X]:(~tall(X)))=>((~curious(mary)<~>~funny(mary))))&
(((~humble(lucy)<~>generous(lucy)))=>(?[X]:((~strong(X)&rich(X)))))&
(![X]:((~rich(X)|curious(X... | ~kind(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1244966228368813231542160
% SZS output start Proof for 1244966228368813231542160
11. ! [X0] : ((wise(X0) | kind(X0)) => (happy(X0) & ~happy(X0))) [input p10]
24. kind(susan) [input hypothesis]
26. ! [X0] : (kind(X0) => (happy(X0) & ~happy(X0))) [pure predicate removal 11]
36. ! [X0] : ((h... | 0 |
Everyone who is both not creative and creative is happy or generous. If alice is not brave or not tall then someone is both not generous and not creative and vice versa. If john is not humble or old then alice is not creative or wise and vice versa. If john is rich or not creative then susan is generous or funny. Every... | John is not old. | neutral | (![X]:((~creative(X)&creative(X))=>(happy(X)|generous(X))))&
(((~brave(alice)|~tall(alice)))<=>(?[X]:((~generous(X)&~creative(X)))))&
(((~humble(john)|old(john)))<=>((~creative(alice)|wise(alice))))&
(((rich(john)|~creative(john)))=>((generous(susan)|funny(susan))))&
(![X]:(~old(X)=>~curious(X)))&
((?[X]:((~funny(X)&~h... | ~old(john) | [] | null | 0 |
Everyone who is rich is not wise or funny and vice versa.
If someone is not tall then someone is both patient and not creative and vice versa.
Everyone who is creative or humble is both not brave and not patient.
If someone is not rich then alice is not quiet or calm.
Everyone who is both funny and humble is both humbl... | John is not rich. | contradiction | (![X]:(rich(X)<=>(~wise(X)|funny(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((patient(X)&~creative(X)))))&
(![X]:((creative(X)|humble(X))=>(~brave(X)&~patient(X))))&
((?[X]:(~rich(X)))=>((~quiet(alice)|calm(alice))))&
(![X]:((funny(X)&humble(X))<=>(humble(X)&~quiet(X))))&
(![X]:((humble(X)<~>~patient(X))=>(~generous(X)|curious(... | ~rich(john) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5714483258690776446954651
% SZS output start Proof for 5714483258690776446954651
1. ! [X0] : (rich(X0) <=> (funny(X0) | ~wise(X0))) [input p0]
19. ~wise(john) [input p18]
21. ~rich(john) [input hypothesis]
37. ! [X0] : ((rich(X0) | (~funny(X0) & wise(X0))) & ((funny(X0) | ~wise(X0)) | ~ri... | 0 |
If someone is not curious then someone is not generous and vice versa. Everyone who is both kind and not old is both brave and creative and vice versa. Everyone who is either tall or not creative is not calm or not tall and vice versa. Everyone who is both humble and happy is old and vice versa. If someone is tall then... | Alice is kind. | entailment | ((?[X]:(~curious(X)))<=>(?[X]:(~generous(X))))&
(![X]:((kind(X)&~old(X))<=>(brave(X)&creative(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(~calm(X)|~tall(X))))&
(![X]:((humble(X)&happy(X))<=>old(X)))&
((?[X]:(tall(X)))<=>(?[X]:((wise(X)|~old(X)))))&
((?[X]:((~curious(X)|old(X))))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:(... | kind(alice) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3150839890653348096850947
% SZS output start Proof for 3150839890653348096850947
7. ! [X0] : ((kind(X0) & curious(X0)) <=> ~generous(X0)) [input p6]
17. ~tall(alice) & ~generous(alice) [input p16]
25. ~kind(alice) [input hypothesis]
62. ! [X0] : (((kind(X0) & curious(X0)) | generous(X0)) ... | 0 |
If fred is not rich then someone is not kind or not humble.
Everyone who is rich or quiet is calm or not humble and vice versa.
Everyone who is not humble or not wise is both kind and not patient.
If someone is either calm or not generous then someone is not funny.
Everyone who is either not generous or kind is both no... | John is strong. | entailment | ((~rich(fred))=>(?[X]:((~kind(X)|~humble(X)))))&
(![X]:((rich(X)|quiet(X))<=>(calm(X)|~humble(X))))&
(![X]:((~humble(X)|~wise(X))=>(kind(X)&~patient(X))))&
((?[X]:((calm(X)<~>~generous(X))))=>(?[X]:(~funny(X))))&
(![X]:((~generous(X)<~>kind(X))<=>(~curious(X)&~quiet(X))))&
((~rich(john))<=>(?[X]:((kind(X)&~quiet(X)))))... | strong(john) | [
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5214560003893401836809781
% SZS output start Proof for 5214560003893401836809781
6. ~rich(john) <=> ? [X0] : (~quiet(X0) & kind(X0)) [input p5]
7. ! [X0] : ((quiet(X0) & ~curious(X0)) <=> ~quiet(X0)) [input p6]
12. ! [X0] : ((~rich(X0) & ~old(X0)) <=> ~strong(X0)) [input p11]
22. ~strong(... | 0 |
If mary is either not old or not kind then someone is either old or quiet and vice versa. Everyone who is both not humble and not patient is both not happy and old. Everyone who is not humble or old is strong or generous and vice versa. If susan is both not strong and not kind then someone is happy and vice versa. Ever... | Paul is not old. | neutral | (((~old(mary)<~>~kind(mary)))<=>(?[X]:((old(X)<~>quiet(X)))))&
(![X]:((~humble(X)&~patient(X))=>(~happy(X)&old(X))))&
(![X]:((~humble(X)|old(X))<=>(strong(X)|generous(X))))&
(((~strong(susan)&~kind(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~humble(X)<~>wise(X))=>(kind(X)<~>patient(X))))&
(![X]:((~creative(X)|curious(X))=>... | ~old(paul) | [] | null | 0 |
Everyone who is both humble and not generous is either old or funny and vice versa.
If someone is not curious or strong then john is quiet or not humble.
Everyone who is both patient and generous is not kind or not wise and vice versa.
If someone is either kind or old then john is either brave or calm and vice versa.
E... | John is not wise. | contradiction | (![X]:((humble(X)&~generous(X))<=>(old(X)<~>funny(X))))&
((?[X]:((~curious(X)|strong(X))))=>((quiet(john)|~humble(john))))&
(![X]:((patient(X)&generous(X))<=>(~kind(X)|~wise(X))))&
((?[X]:((kind(X)<~>old(X))))<=>((brave(john)<~>calm(john))))&
(![X]:(~humble(X)=>humble(X)))&
(((curious(lucy)&tall(lucy)))<=>(?[X]:((stron... | ~wise(john) | [
"p0",
"p2",
"p3",
"p6",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6849072636513590659111741
% SZS output start Proof for 6849072636513590659111741
1. ! [X0] : ((~generous(X0) & humble(X0)) <=> (old(X0) <~> funny(X0))) [input p0]
3. ! [X0] : ((generous(X0) & patient(X0)) <=> (~wise(X0) | ~kind(X0))) [input p2]
4. ? [X0] : (kind(X0) <~> old(X0)) <=> (brav... | 0 |
Everyone who is not kind is not curious.
If someone is not kind or rich then lucy is not quiet.
Everyone who is humble or curious is both not strong and happy and vice versa.
If someone is both not generous and not quiet then someone is happy and vice versa.
Everyone who is not happy or not tall is wise and vice versa.... | John is not curious. | entailment | (![X]:(~kind(X)=>~curious(X)))&
((?[X]:((~kind(X)|rich(X))))=>(~quiet(lucy)))&
(![X]:((humble(X)|curious(X))<=>(~strong(X)&happy(X))))&
((?[X]:((~generous(X)&~quiet(X))))<=>(?[X]:(happy(X))))&
(![X]:((~happy(X)|~tall(X))<=>wise(X)))&
((?[X]:((~strong(X)<~>~generous(X))))<=>(?[X]:((~curious(X)|~happy(X)))))&
((tall(mary... | ~curious(john) | [
"p2",
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4121372534299739658264549
% SZS output start Proof for 4121372534299739658264549
3. ! [X0] : ((curious(X0) | humble(X0)) <=> (happy(X0) & ~strong(X0))) [input p2]
4. ? [X0] : (~quiet(X0) & ~generous(X0)) <=> ? [X0] : happy(X0) [input p3]
16. ! [X0] : (~quiet(X0) => (~curious(X0) & generou... | 0 |
If someone is not calm or not wise then lucy is either humble or not quiet and vice versa.
Everyone who is either not happy or not wise is either not rich or not old.
If paul is not generous or strong then paul is not curious or wise and vice versa.
Everyone who is both not tall and not kind is not tall.
Everyone who i... | Susan is old. | entailment | ((?[X]:((~calm(X)|~wise(X))))<=>((humble(lucy)<~>~quiet(lucy))))&
(![X]:((~happy(X)<~>~wise(X))=>(~rich(X)<~>~old(X))))&
(((~generous(paul)|strong(paul)))<=>((~curious(paul)|wise(paul))))&
(![X]:((~tall(X)&~kind(X))=>~tall(X)))&
(![X]:((curious(X)<~>funny(X))=>rich(X)))&
(![X]:((tall(X)&humble(X))=>(creative(X)&~rich(X... | old(susan) | [
"p8",
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5379729300824424605592860
% SZS output start Proof for 5379729300824424605592860
9. ! [X0] : ((rich(X0) & ~brave(X0)) <=> (calm(X0) | happy(X0))) [input p8]
12. ! [X0] : (~brave(X0) => (~happy(X0) & generous(X0))) [input p11]
16. ! [X0] : ((calm(X0) | old(X0)) <=> (~happy(X0) | curious(X0... | 0 |
If someone is happy or not old then someone is either quiet or not calm and vice versa. If alice is happy or not patient then someone is tall or not quiet. If mary is not curious then paul is not quiet. Everyone who is either rich or not quiet is both not tall and not generous. If someone is curious or not strong then ... | Fred is not humble. | entailment | ((?[X]:((happy(X)|~old(X))))<=>(?[X]:((quiet(X)<~>~calm(X)))))&
(((happy(alice)|~patient(alice)))=>(?[X]:((tall(X)|~quiet(X)))))&
((~curious(mary))=>(~quiet(paul)))&
(![X]:((rich(X)<~>~quiet(X))=>(~tall(X)&~generous(X))))&
((?[X]:((curious(X)|~strong(X))))=>(~curious(fred)))&
(![X]:((~tall(X)|generous(X))=>(~kind(X)<~>... | ~humble(fred) | [
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2944105267896715934684083
% SZS output start Proof for 2944105267896715934684083
10. ! [X0] : (patient(X0) <=> (humble(X0) | happy(X0))) [input p9]
12. ? [X0] : ~happy(X0) => (~patient(fred) & ~funny(fred)) [input p11]
18. ? [X0] : ~patient(X0) [input p17]
25. humble(fred) [input hypothes... | 0 |
If susan is rich or not creative then someone is not funny. If fred is not wise or wise then fred is either curious or not brave and vice versa. If fred is quiet then someone is both not quiet and not generous. Everyone who is both not strong and rich is either not old or not patient. Everyone who is not curious is qui... | Susan is not strong. | neutral | (((rich(susan)|~creative(susan)))=>(?[X]:(~funny(X))))&
(((~wise(fred)|wise(fred)))<=>((curious(fred)<~>~brave(fred))))&
((quiet(fred))=>(?[X]:((~quiet(X)&~generous(X)))))&
(![X]:((~strong(X)&rich(X))=>(~old(X)<~>~patient(X))))&
(![X]:(~curious(X)=>quiet(X)))&
(![X]:(~curious(X)<=>(quiet(X)|kind(X))))&
(((funny(lucy)|~... | ~strong(susan) | [] | null | 0 |
Everyone who is rich or curious is both curious and not strong and vice versa.
If someone is both not wise and generous then someone is both happy and patient.
Everyone who is both strong and not kind is not brave or old.
If someone is quiet then someone is not curious or funny.
Everyone who is both kind and strong is ... | Mary is quiet. | contradiction | (![X]:((rich(X)|curious(X))<=>(curious(X)&~strong(X))))&
((?[X]:((~wise(X)&generous(X))))=>(?[X]:((happy(X)&patient(X)))))&
(![X]:((strong(X)&~kind(X))=>(~brave(X)|old(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~curious(X)|funny(X)))))&
(![X]:((kind(X)&strong(X))<=>(happy(X)<~>~curious(X))))&
(![X]:((~brave(X)&brave(X))=>(~cal... | quiet(mary) | [
"p0",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3053231241168983682612420
% SZS output start Proof for 3053231241168983682612420
1. ! [X0] : ((curious(X0) | rich(X0)) <=> (~strong(X0) & curious(X0))) [input p0]
8. ! [X0] : ((rich(X0) & strong(X0)) <=> (quiet(X0) | ~calm(X0))) [input p7]
25. quiet(mary) [input hypothesis]
39. ! [X0] : (... | 0 |
Everyone who is either wise or not kind is not brave and vice versa. Everyone who is either not funny or not calm is both generous and not kind and vice versa. If someone is not patient then someone is both not quiet and calm and vice versa. If someone is either not happy or not old then paul is both kind and not curio... | Lucy is old. | entailment | (![X]:((wise(X)<~>~kind(X))<=>~brave(X)))&
(![X]:((~funny(X)<~>~calm(X))<=>(generous(X)&~kind(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~quiet(X)&calm(X)))))&
((?[X]:((~happy(X)<~>~old(X))))<=>((kind(paul)&~curious(paul))))&
((?[X]:((calm(X)<~>~brave(X))))<=>(?[X]:((kind(X)<~>~calm(X)))))&
((?[X]:(kind(X)))=>((~rich(lucy)... | old(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7577940437824130809898271
% SZS output start Proof for 7577940437824130809898271
1. ! [X0] : ((wise(X0) <~> ~kind(X0)) <=> ~brave(X0)) [input p0]
2. ! [X0] : ((~funny(X0) <~> ~calm(X0)) <=> (~kind(X0) & generous(X0))) [input p1]
3. ? [X0] : ~patient(X0) <=> ? [X0] : (calm(X0) & ~quiet(X0)... | 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 |
Everyone who is quiet or not strong is both kind and not funny and vice versa.
Everyone who is not old or tall is happy.
Everyone who is both not kind and rich is humble.
Everyone who is generous is wise.
Everyone who is both quiet and humble is quiet or strong and vice versa.
Everyone who is kind or tall is both stron... | Mary is curious. | neutral | (![X]:((quiet(X)|~strong(X))<=>(kind(X)&~funny(X))))&
(![X]:((~old(X)|tall(X))=>happy(X)))&
(![X]:((~kind(X)&rich(X))=>humble(X)))&
(![X]:(generous(X)=>wise(X)))&
(![X]:((quiet(X)&humble(X))<=>(quiet(X)|strong(X))))&
(![X]:((kind(X)|tall(X))=>(strong(X)&generous(X))))&
(![X]:((curious(X)<~>~funny(X))<=>(~brave(X)<~>str... | curious(mary) | [] | null | 0 |
If someone is either tall or curious then someone is both not quiet and not strong.
If someone is both not funny and humble then fred is not patient and vice versa.
Everyone who is either generous or kind is either patient or not funny and vice versa.
If john is not generous or funny then susan is happy or funny.
Every... | John is curious. | entailment | ((?[X]:((tall(X)<~>curious(X))))=>(?[X]:((~quiet(X)&~strong(X)))))&
((?[X]:((~funny(X)&humble(X))))<=>(~patient(fred)))&
(![X]:((generous(X)<~>kind(X))<=>(patient(X)<~>~funny(X))))&
(((~generous(john)|funny(john)))=>((happy(susan)|funny(susan))))&
(![X]:((creative(X)|~generous(X))=>(kind(X)&patient(X))))&
(![X]:((tall(... | curious(john) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5407151399751001796599563
% SZS output start Proof for 5407151399751001796599563
11. ! [X0] : ((~quiet(X0) | ~creative(X0)) <=> curious(X0)) [input p10]
14. ! [X0] : ((humble(X0) | quiet(X0)) => (generous(X0) & ~generous(X0))) [input p13]
25. ~curious(john) [input hypothesis]
39. ! [X0] :... | 0 |
If alice is not strong or not curious then someone is either not wise or creative and vice versa.
If lucy is not generous then someone is quiet or rich and vice versa.
If mary is both not happy and not generous then alice is either strong or happy and vice versa.
If someone is either happy or not humble then lucy is br... | Alice is brave. | entailment | (((~strong(alice)|~curious(alice)))<=>(?[X]:((~wise(X)<~>creative(X)))))&
((~generous(lucy))<=>(?[X]:((quiet(X)|rich(X)))))&
(((~happy(mary)&~generous(mary)))<=>((strong(alice)<~>happy(alice))))&
((?[X]:((happy(X)<~>~humble(X))))=>((brave(lucy)|~rich(lucy))))&
(![X]:((~curious(X)&calm(X))<=>(~generous(X)<~>~brave(X))))... | brave(alice) | [
"p8",
"p10",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2003162009654294952783199
% SZS output start Proof for 2003162009654294952783199
9. ! [X0] : ((kind(X0) & ~rich(X0)) <=> (~happy(X0) | ~creative(X0))) [input p8]
11. ! [X0] : (funny(X0) <=> (~curious(X0) | quiet(X0))) [input p10]
12. ! [X0] : (funny(X0) <=> ~creative(X0)) [input p11]
14. ... | 0 |
Everyone who is both rich and not happy is not creative or not brave and vice versa.
Everyone who is tall is patient or not quiet and vice versa.
If mary is not calm then someone is either not tall or happy.
Everyone who is patient or rich is rich.
If susan is funny or creative then someone is creative or not patient.
... | Lucy is not happy. | contradiction | (![X]:((rich(X)&~happy(X))<=>(~creative(X)|~brave(X))))&
(![X]:(tall(X)<=>(patient(X)|~quiet(X))))&
((~calm(mary))=>(?[X]:((~tall(X)<~>happy(X)))))&
(![X]:((patient(X)|rich(X))=>rich(X)))&
(((funny(susan)|creative(susan)))=>(?[X]:((creative(X)|~patient(X)))))&
(![X]:((humble(X)&rich(X))<=>generous(X)))&
((?[X]:(~strong... | ~happy(lucy) | [
"p1",
"p6",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8140856141023443765474388
% SZS output start Proof for 8140856141023443765474388
2. ! [X0] : (tall(X0) <=> (~quiet(X0) | patient(X0))) [input p1]
7. ? [X0] : ~strong(X0) <=> (~happy(lucy) <~> quiet(lucy)) [input p6]
10. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> generous(X0)) [input p9]
21... | 0 |
Everyone who is either humble or calm is both not funny and not patient.
Everyone who is generous or curious is old.
Everyone who is not wise is both tall and creative and vice versa.
If someone is either not humble or tall then susan is both curious and not generous.
If john is not funny or not kind then someone is ei... | Susan is not kind. | neutral | (![X]:((humble(X)<~>calm(X))=>(~funny(X)&~patient(X))))&
(![X]:((generous(X)|curious(X))=>old(X)))&
(![X]:(~wise(X)<=>(tall(X)&creative(X))))&
((?[X]:((~humble(X)<~>tall(X))))=>((curious(susan)&~generous(susan))))&
(((~funny(john)|~kind(john)))<=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((rich(X)|~creative(X))=>(~happy... | ~kind(susan) | [] | null | 0 |
Everyone who is either rich or not brave is both not generous and not kind and vice versa.
Everyone who is strong is not funny and vice versa.
If someone is not strong or quiet then someone is either not calm or not rich.
If someone is not old or calm then john is both not old and strong.
Everyone who is funny is eithe... | Mary is strong. | entailment | (![X]:((rich(X)<~>~brave(X))<=>(~generous(X)&~kind(X))))&
(![X]:(strong(X)<=>~funny(X)))&
((?[X]:((~strong(X)|quiet(X))))=>(?[X]:((~calm(X)<~>~rich(X)))))&
((?[X]:((~old(X)|calm(X))))=>((~old(john)&strong(john))))&
(![X]:(funny(X)=>(brave(X)<~>funny(X))))&
(((~curious(fred)&~tall(fred)))=>((old(alice)<~>quiet(alice))))... | strong(mary) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 519571966693039813476187
% SZS output start Proof for 519571966693039813476187
23. strong(mary) [input p22]
25. ~strong(mary) [input hypothesis]
137. strong(mary) [cnf transformation 23]
140. ~strong(mary) [cnf transformation 25]
200. 14 <=> strong(mary) [avatar definition]
301. 14 [avata... | 0 |
Everyone who is not rich is patient or not generous and vice versa. If fred is both calm and not curious then someone is not generous and vice versa. Everyone who is curious or not calm is either not old or not creative. If fred is humble then someone is not happy or curious and vice versa. If john is both curious and ... | Susan is not strong. | neutral | (![X]:(~rich(X)<=>(patient(X)|~generous(X))))&
(((calm(fred)&~curious(fred)))<=>(?[X]:(~generous(X))))&
(![X]:((curious(X)|~calm(X))=>(~old(X)<~>~creative(X))))&
((humble(fred))<=>(?[X]:((~happy(X)|curious(X)))))&
(((curious(john)&brave(john)))=>((tall(alice)<~>strong(alice))))&
(((~kind(fred)<~>creative(fred)))<=>((qu... | ~strong(susan) | [] | null | 0 |
Everyone who is both patient and not quiet is not strong and vice versa.
Everyone who is not curious or not strong is both brave and old and vice versa.
If john is either not curious or rich then susan is not quiet or not happy.
If someone is not funny or not patient then someone is not strong and vice versa.
Everyone ... | Susan is not happy. | contradiction | (![X]:((patient(X)&~quiet(X))<=>~strong(X)))&
(![X]:((~curious(X)|~strong(X))<=>(brave(X)&old(X))))&
(((~curious(john)<~>rich(john)))=>((~quiet(susan)|~happy(susan))))&
((?[X]:((~funny(X)|~patient(X))))<=>(?[X]:(~strong(X))))&
(![X]:((humble(X)<~>~calm(X))=>(generous(X)<~>~rich(X))))&
((?[X]:((funny(X)|~kind(X))))=>(?[... | ~happy(susan) | [
"p7",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 217479632128715258482221
% SZS output start Proof for 217479632128715258482221
8. ! [X0] : (~curious(X0) => (~rich(X0) <~> happy(X0))) [input p7]
15. ! [X0] : ((~patient(X0) | curious(X0)) <=> happy(X0)) [input p14]
20. ~patient(susan) | rich(susan) [input p19]
25. ~happy(susan) [input hy... | 0 |
If someone is humble or not quiet then mary is not patient or funny.
Everyone who is either not tall or not wise is rich and vice versa.
Everyone who is not wise is brave and vice versa.
If someone is funny or curious then paul is both not funny and tall.
If someone is kind then someone is either calm or not funny and ... | Paul is not wise. | contradiction | ((?[X]:((humble(X)|~quiet(X))))=>((~patient(mary)|funny(mary))))&
(![X]:((~tall(X)<~>~wise(X))<=>rich(X)))&
(![X]:(~wise(X)<=>brave(X)))&
((?[X]:((funny(X)|curious(X))))=>((~funny(paul)&tall(paul))))&
((?[X]:(kind(X)))<=>(?[X]:((calm(X)<~>~funny(X)))))&
((~creative(paul))<=>(?[X]:(funny(X))))&
(((brave(paul)<~>funny(pa... | ~wise(paul) | [
"p1",
"p2",
"p3",
"p8",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1568943598665526715130
% SZS output start Proof for 1568943598665526715130
2. ! [X0] : ((~tall(X0) <~> ~wise(X0)) <=> rich(X0)) [input p1]
3. ! [X0] : (~wise(X0) <=> brave(X0)) [input p2]
4. ? [X0] : (curious(X0) | funny(X0)) => (tall(paul) & ~funny(paul)) [input p3]
9. ! [X0] : ((~genero... | 0 |
Everyone who is not rich is not kind and vice versa.
Everyone who is either not brave or not creative is not tall and vice versa.
Everyone who is either happy or not patient is not generous or not kind and vice versa.
Everyone who is either rich or not curious is not happy and vice versa.
Everyone who is generous is ge... | Susan is happy. | contradiction | (![X]:(~rich(X)<=>~kind(X)))&
(![X]:((~brave(X)<~>~creative(X))<=>~tall(X)))&
(![X]:((happy(X)<~>~patient(X))<=>(~generous(X)|~kind(X))))&
(![X]:((rich(X)<~>~curious(X))<=>~happy(X)))&
(![X]:(generous(X)=>(generous(X)|~happy(X))))&
(![X]:((rich(X)<~>patient(X))=>(strong(X)&~curious(X))))&
(![X]:((~patient(X)&~curious(X... | happy(susan) | [
"p0",
"p2",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2601118935849719379426805
% SZS output start Proof for 2601118935849719379426805
1. ! [X0] : (~rich(X0) <=> ~kind(X0)) [input p0]
3. ! [X0] : ((happy(X0) <~> ~patient(X0)) <=> (~kind(X0) | ~generous(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> ~curious(X0)) <=> ~happy(X0)) [input p3]
6. ! ... | 0 |
Everyone who is both old and kind is not old or wise and vice versa. Everyone who is both wise and not tall is either not generous or not curious and vice versa. Everyone who is curious is both not patient and not calm and vice versa. Everyone who is either curious or tall is not quiet or not curious and vice versa. If... | John is old. | entailment | (![X]:((old(X)&kind(X))<=>(~old(X)|wise(X))))&
(![X]:((wise(X)&~tall(X))<=>(~generous(X)<~>~curious(X))))&
(![X]:(curious(X)<=>(~patient(X)&~calm(X))))&
(![X]:((curious(X)<~>tall(X))<=>(~quiet(X)|~curious(X))))&
((?[X]:(funny(X)))=>((kind(alice)&wise(alice))))&
(((~wise(mary)|~funny(mary)))<=>(?[X]:(calm(X))))&
((?[X]:... | old(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5512980670380586295413457
% SZS output start Proof for 5512980670380586295413457
1. ! [X0] : ((kind(X0) & old(X0)) <=> (wise(X0) | ~old(X0))) [input p0]
21. ~old(john) [input hypothesis]
30. ! [X0] : (((kind(X0) & old(X0)) | (~wise(X0) & old(X0))) & ((wise(X0) | ~old(X0)) | (~kind(X0) | ~... | 0 |
If someone is not kind then mary is wise or patient and vice versa.
Everyone who is both not generous and patient is either strong or calm and vice versa.
Everyone who is generous is not funny.
Everyone who is not strong or quiet is either rich or creative.
If susan is kind then john is either tall or not brave.
If som... | Paul is patient. | contradiction | ((?[X]:(~kind(X)))<=>((wise(mary)|patient(mary))))&
(![X]:((~generous(X)&patient(X))<=>(strong(X)<~>calm(X))))&
(![X]:(generous(X)=>~funny(X)))&
(![X]:((~strong(X)|quiet(X))=>(rich(X)<~>creative(X))))&
((kind(susan))=>((tall(john)<~>~brave(john))))&
((?[X]:((curious(X)|~funny(X))))<=>(?[X]:((calm(X)<~>~quiet(X)))))&
((... | patient(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8848499626779735308342364
% SZS output start Proof for 8848499626779735308342364
14. ! [X0] : ((~patient(X0) <~> calm(X0)) <=> ~calm(X0)) [input p13]
25. patient(paul) [input hypothesis]
60. ! [X0] : ((((~calm(X0) | patient(X0)) & (calm(X0) | ~patient(X0))) | calm(X0)) & (~calm(X0) | ((~p... | 0 |
If mary is not tall then lucy is either not tall or generous. If paul is both not calm and not funny then mary is patient or not brave and vice versa. If paul is either not funny or kind then john is both not wise and not tall. Everyone who is both not quiet and not rich is not brave. Everyone who is not funny or quiet... | Paul is not happy. | entailment | ((~tall(mary))=>((~tall(lucy)<~>generous(lucy))))&
(((~calm(paul)&~funny(paul)))<=>((patient(mary)|~brave(mary))))&
(((~funny(paul)<~>kind(paul)))=>((~wise(john)&~tall(john))))&
(![X]:((~quiet(X)&~rich(X))=>~brave(X)))&
(![X]:((~funny(X)|quiet(X))<=>(~wise(X)<~>patient(X))))&
((?[X]:((~creative(X)<~>~generous(X))))=>(w... | ~happy(paul) | [
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 569394659707181184587687
% SZS output start Proof for 569394659707181184587687
12. ! [X0] : ((~brave(X0) | tall(X0)) => funny(X0)) [input p11]
15. ! [X0] : (funny(X0) <=> (humble(X0) & ~funny(X0))) [input p14]
16. ! [X0] : (brave(X0) <=> (tall(X0) <~> ~happy(X0))) [input p15]
22. happy(pa... | 0 |
Everyone who is both not patient and not creative is not kind.
If mary is not wise or patient then mary is not tall and vice versa.
Everyone who is old is both not curious and not old.
Everyone who is not happy is kind or not wise and vice versa.
If fred is either not tall or not funny then paul is either rich or humbl... | Mary is rich. | neutral | (![X]:((~patient(X)&~creative(X))=>~kind(X)))&
(((~wise(mary)|patient(mary)))<=>(~tall(mary)))&
(![X]:(old(X)=>(~curious(X)&~old(X))))&
(![X]:(~happy(X)<=>(kind(X)|~wise(X))))&
(((~tall(fred)<~>~funny(fred)))<=>((rich(paul)<~>humble(paul))))&
(![X]:((generous(X)<~>~creative(X))<=>(~patient(X)<~>creative(X))))&
((?[X]:(... | rich(mary) | [] | null | 0 |
Everyone who is either happy or not humble is either patient or rich.
Everyone who is either not strong or not calm is humble.
Everyone who is both calm and not rich is tall and vice versa.
If someone is not generous then someone is kind or wise and vice versa.
Everyone who is humble is quiet or humble and vice versa.
... | Fred is patient. | neutral | (![X]:((happy(X)<~>~humble(X))=>(patient(X)<~>rich(X))))&
(![X]:((~strong(X)<~>~calm(X))=>humble(X)))&
(![X]:((calm(X)&~rich(X))<=>tall(X)))&
((?[X]:(~generous(X)))<=>(?[X]:((kind(X)|wise(X)))))&
(![X]:(humble(X)<=>(quiet(X)|humble(X))))&
(((rich(fred)|funny(fred)))=>(~curious(mary)))&
(((~strong(fred)&~patient(fred)))... | patient(fred) | [] | null | 0 |
Everyone who is not brave is either strong or not curious and vice versa.
Everyone who is patient is either wise or not calm.
Everyone who is calm is not brave or humble.
Everyone who is both not brave and funny is both wise and not kind.
If someone is either old or brave then someone is either not wise or brave.
If so... | Lucy is not wise. | entailment | (![X]:(~brave(X)<=>(strong(X)<~>~curious(X))))&
(![X]:(patient(X)=>(wise(X)<~>~calm(X))))&
(![X]:(calm(X)=>(~brave(X)|humble(X))))&
(![X]:((~brave(X)&funny(X))=>(wise(X)&~kind(X))))&
((?[X]:((old(X)<~>brave(X))))=>(?[X]:((~wise(X)<~>brave(X)))))&
((?[X]:((~quiet(X)<~>~happy(X))))=>((~happy(lucy)|humble(lucy))))&
(![X]:... | ~wise(lucy) | [
"p0",
"p1",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7479007761530496700426110
% SZS output start Proof for 7479007761530496700426110
1. ! [X0] : (~brave(X0) <=> (strong(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : (patient(X0) => (wise(X0) <~> ~calm(X0))) [input p1]
10. ! [X0] : ((patient(X0) | ~strong(X0)) => (~quiet(X0) & ~strong(X0))) ... | 0 |
Everyone who is both tall and not creative is strong and vice versa.
Everyone who is both quiet and wise is both not calm and calm and vice versa.
If someone is not creative or quiet then fred is both not creative and not kind and vice versa.
Everyone who is both not wise and brave is brave or quiet.
Everyone who is wi... | Lucy is not creative. | contradiction | (![X]:((tall(X)&~creative(X))<=>strong(X)))&
(![X]:((quiet(X)&wise(X))<=>(~calm(X)&calm(X))))&
((?[X]:((~creative(X)|quiet(X))))<=>((~creative(fred)&~kind(fred))))&
(![X]:((~wise(X)&brave(X))=>(brave(X)|quiet(X))))&
(![X]:(wise(X)<=>(funny(X)<~>~old(X))))&
(((~kind(fred)&quiet(fred)))<=>((rich(paul)<~>generous(paul))))... | ~creative(lucy) | [
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4860157083346743959861734
% SZS output start Proof for 4860157083346743959861734
11. ? [X0] : (~rich(X0) | ~happy(X0)) <=> (happy(lucy) <~> ~wise(lucy)) [input p10]
15. ! [X0] : (~wise(X0) <=> creative(X0)) [input p14]
16. ! [X0] : ((happy(X0) | calm(X0)) <=> (~happy(X0) & ~creative(X0)))... | 0 |
Everyone who is either wise or not happy is both not patient and kind.
Everyone who is not quiet is both not creative and calm and vice versa.
If someone is either not patient or not old then someone is either patient or calm and vice versa.
Everyone who is happy or not wise is both brave and not brave and vice versa.
... | Alice is tall. | contradiction | (![X]:((wise(X)<~>~happy(X))=>(~patient(X)&kind(X))))&
(![X]:(~quiet(X)<=>(~creative(X)&calm(X))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((patient(X)<~>calm(X)))))&
(![X]:((happy(X)|~wise(X))<=>(brave(X)&~brave(X))))&
(![X]:((funny(X)<~>~kind(X))<=>kind(X)))&
(![X]:((~generous(X)|quiet(X))=>(strong(X)&~tall(X))))&... | tall(alice) | [
"p3",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8087334828520147708366532
% SZS output start Proof for 8087334828520147708366532
4. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p3]
9. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> brave(X0)) [input p8]
11. ? [X0] : (~calm(X0) | ~brave(X0)) => happy(mary) [input p10]... | 0 |
If john is both not happy and humble then someone is not wise or patient.
Everyone who is both creative and brave is strong or not patient and vice versa.
Everyone who is both funny and generous is not creative and vice versa.
Everyone who is calm is happy or not rich.
Everyone who is either not brave or generous is ei... | Paul is not creative. | neutral | (((~happy(john)&humble(john)))=>(?[X]:((~wise(X)|patient(X)))))&
(![X]:((creative(X)&brave(X))<=>(strong(X)|~patient(X))))&
(![X]:((funny(X)&generous(X))<=>~creative(X)))&
(![X]:(calm(X)=>(happy(X)|~rich(X))))&
(![X]:((~brave(X)<~>generous(X))<=>(~generous(X)<~>old(X))))&
(![X]:((~quiet(X)|quiet(X))<=>(patient(X)|~happ... | ~creative(paul) | [] | null | 0 |
If someone is either old or not funny then lucy is humble. Everyone who is both calm and creative is both not rich and wise. Everyone who is either not calm or rich is either humble or not quiet and vice versa. If mary is either not funny or funny then john is either not brave or generous and vice versa. If mary is not... | Mary is funny. | neutral | ((?[X]:((old(X)<~>~funny(X))))=>(humble(lucy)))&
(![X]:((calm(X)&creative(X))=>(~rich(X)&wise(X))))&
(![X]:((~calm(X)<~>rich(X))<=>(humble(X)<~>~quiet(X))))&
(((~funny(mary)<~>funny(mary)))<=>((~brave(john)<~>generous(john))))&
((~tall(mary))=>(?[X]:((~funny(X)<~>~curious(X)))))&
((?[X]:((creative(X)|~tall(X))))=>(?[X]... | funny(mary) | [] | null | 0 |
If mary is not rich then fred is not brave. If john is wise or kind then alice is either not brave or not wise. If someone is kind then fred is funny or not wise and vice versa. If someone is curious or tall then lucy is both curious and not rich and vice versa. Everyone who is either quiet or not calm is not humble an... | Susan is not tall. | contradiction | ((~rich(mary))=>(~brave(fred)))&
(((wise(john)|kind(john)))=>((~brave(alice)<~>~wise(alice))))&
((?[X]:(kind(X)))<=>((funny(fred)|~wise(fred))))&
((?[X]:((curious(X)|tall(X))))<=>((curious(lucy)&~rich(lucy))))&
(![X]:((quiet(X)<~>~calm(X))<=>~humble(X)))&
(((tall(fred)|old(fred)))=>(?[X]:((happy(X)&~patient(X)))))&
(![... | ~tall(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4975303532405929428648340
% SZS output start Proof for 4975303532405929428648340
13. ! [X0] : (tall(X0) <=> (~generous(X0) <~> generous(X0))) [input p12]
25. ~tall(susan) [input hypothesis]
67. ! [X0] : ((tall(X0) | ((~generous(X0) | ~generous(X0)) & (generous(X0) | generous(X0)))) & (((~... | 0 |
If alice is either happy or creative then someone is strong and vice versa.
If mary is not humble or happy then someone is not curious and vice versa.
If someone is either not kind or creative then john is either brave or wise.
If someone is either calm or not strong then mary is quiet.
Everyone who is both not wise an... | Paul is funny. | contradiction | (((happy(alice)<~>creative(alice)))<=>(?[X]:(strong(X))))&
(((~humble(mary)|happy(mary)))<=>(?[X]:(~curious(X))))&
((?[X]:((~kind(X)<~>creative(X))))=>((brave(john)<~>wise(john))))&
((?[X]:((calm(X)<~>~strong(X))))=>(quiet(mary)))&
(![X]:((~wise(X)&~calm(X))<=>(~old(X)|patient(X))))&
(![X]:((rich(X)&~brave(X))<=>patien... | funny(paul) | [
"p0",
"p4",
"p6",
"p7",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1074929573839392308779270
% SZS output start Proof for 1074929573839392308779270
1. (happy(alice) <~> creative(alice)) <=> ? [X0] : strong(X0) [input p0]
5. ! [X0] : ((~calm(X0) & ~wise(X0)) <=> (patient(X0) | ~old(X0))) [input p4]
7. ? [X0] : ~old(X0) <=> ~kind(paul) [input p6]
8. ! [X0]... | 0 |
Everyone who is either not creative or not humble is both not curious and not humble and vice versa.
Everyone who is both not calm and not tall is old.
Everyone who is both not creative and not rich is not curious.
If someone is either not patient or humble then susan is both generous and kind and vice versa.
If lucy i... | Paul is wise. | entailment | (![X]:((~creative(X)<~>~humble(X))<=>(~curious(X)&~humble(X))))&
(![X]:((~calm(X)&~tall(X))=>old(X)))&
(![X]:((~creative(X)&~rich(X))=>~curious(X)))&
((?[X]:((~patient(X)<~>humble(X))))<=>((generous(susan)&kind(susan))))&
(((~calm(lucy)&generous(lucy)))=>(?[X]:(~happy(X))))&
(![X]:((~creative(X)&brave(X))<=>(~tall(X)&~... | wise(paul) | [
"p3",
"p6",
"p8",
"p9",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7900763988313097766375479
% SZS output start Proof for 7900763988313097766375479
4. ? [X0] : (~patient(X0) <~> humble(X0)) <=> (kind(susan) & generous(susan)) [input p3]
7. ! [X0] : ((wise(X0) | ~tall(X0)) <=> (humble(X0) & ~happy(X0))) [input p6]
9. ? [X0] : kind(X0) => (creative(fred) &... | 0 |
Everyone who is wise is not generous or strong and vice versa.
Everyone who is not rich is not wise.
If someone is tall or not strong then mary is not funny and vice versa.
Everyone who is patient or not kind is either not kind or tall and vice versa.
If someone is both curious and rich then alice is both humble and no... | Susan is not old. | entailment | (![X]:(wise(X)<=>(~generous(X)|strong(X))))&
(![X]:(~rich(X)=>~wise(X)))&
((?[X]:((tall(X)|~strong(X))))<=>(~funny(mary)))&
(![X]:((patient(X)|~kind(X))<=>(~kind(X)<~>tall(X))))&
((?[X]:((curious(X)&rich(X))))<=>((humble(alice)&~patient(alice))))&
(((~humble(alice)&humble(alice)))<=>((curious(paul)|~happy(paul))))&
(![... | ~old(susan) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4629171539604643883235026
% SZS output start Proof for 4629171539604643883235026
1. ! [X0] : (wise(X0) <=> (strong(X0) | ~generous(X0))) [input p0]
11. ! [X0] : ((strong(X0) & ~wise(X0)) <=> old(X0)) [input p10]
23. old(susan) [input hypothesis]
25. ! [X0] : (old(X0) => (strong(X0) & ~wis... | 0 |
If alice is both not generous and rich then someone is not patient and vice versa. Everyone who is funny or generous is not funny and vice versa. Everyone who is both not tall and happy is kind. Everyone who is either not calm or humble is not generous or calm. If someone is either happy or not calm then someone is eit... | Fred is brave. | neutral | (((~generous(alice)&rich(alice)))<=>(?[X]:(~patient(X))))&
(![X]:((funny(X)|generous(X))<=>~funny(X)))&
(![X]:((~tall(X)&happy(X))=>kind(X)))&
(![X]:((~calm(X)<~>humble(X))=>(~generous(X)|calm(X))))&
((?[X]:((happy(X)<~>~calm(X))))=>(?[X]:((~happy(X)<~>happy(X)))))&
(((strong(alice)&~tall(alice)))<=>((~wise(susan)|~gen... | brave(fred) | [] | null | 0 |
Everyone who is not brave is creative or not humble.
Everyone who is humble is both creative and happy.
Everyone who is both not calm and generous is either old or not creative.
Everyone who is not old is both kind and not strong and vice versa.
Everyone who is not kind is not brave or not tall and vice versa.
Everyone... | Lucy is brave. | contradiction | (![X]:(~brave(X)=>(creative(X)|~humble(X))))&
(![X]:(humble(X)=>(creative(X)&happy(X))))&
(![X]:((~calm(X)&generous(X))=>(old(X)<~>~creative(X))))&
(![X]:(~old(X)<=>(kind(X)&~strong(X))))&
(![X]:(~kind(X)<=>(~brave(X)|~tall(X))))&
(![X]:((humble(X)&~wise(X))=>(~calm(X)<~>strong(X))))&
((wise(fred))=>((generous(fred)<~>... | brave(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8658889773475747707732139
% SZS output start Proof for 8658889773475747707732139
15. ! [X0] : ((brave(X0) | ~quiet(X0)) <=> (~funny(X0) & funny(X0))) [input p14]
24. brave(lucy) [input hypothesis]
63. ! [X0] : (((brave(X0) | ~quiet(X0)) | (funny(X0) | ~funny(X0))) & ((~funny(X0) & funny(X... | 0 |
If someone is both not rich and happy then john is either not humble or not patient and vice versa.
Everyone who is both wise and not strong is quiet.
If lucy is either not quiet or curious then alice is either brave or old and vice versa.
Everyone who is humble or creative is both patient and not kind and vice versa.
... | John is generous. | neutral | ((?[X]:((~rich(X)&happy(X))))<=>((~humble(john)<~>~patient(john))))&
(![X]:((wise(X)&~strong(X))=>quiet(X)))&
(((~quiet(lucy)<~>curious(lucy)))<=>((brave(alice)<~>old(alice))))&
(![X]:((humble(X)|creative(X))<=>(patient(X)&~kind(X))))&
((~wise(alice))<=>(?[X]:(wise(X))))&
(![X]:(~kind(X)<=>(happy(X)<~>~calm(X))))&
(![X... | generous(john) | [] | null | 0 |
Everyone who is both not brave and humble is not humble or happy. Everyone who is both not calm and not quiet is not brave. If susan is old or not creative then lucy is both not kind and curious and vice versa. Everyone who is happy or old is not old and vice versa. Everyone who is either not happy or tall is not creat... | Susan is happy. | entailment | (![X]:((~brave(X)&humble(X))=>(~humble(X)|happy(X))))&
(![X]:((~calm(X)&~quiet(X))=>~brave(X)))&
(((old(susan)|~creative(susan)))<=>((~kind(lucy)&curious(lucy))))&
(![X]:((happy(X)|old(X))<=>~old(X)))&
(![X]:((~happy(X)<~>tall(X))=>~creative(X)))&
(![X]:((~happy(X)<~>curious(X))=>(kind(X)|~generous(X))))&
(![X]:((~kind... | happy(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 556041834126284930860509
% SZS output start Proof for 556041834126284930860509
4. ! [X0] : ((old(X0) | happy(X0)) <=> ~old(X0)) [input p3]
25. ~happy(susan) [input hypothesis]
44. ! [X0] : (((old(X0) | happy(X0)) | old(X0)) & (~old(X0) | (~old(X0) & ~happy(X0)))) [nnf transformation 4]
45... | 0 |
If someone is wise then someone is tall or curious. If someone is not quiet or not brave then someone is happy and vice versa. Everyone who is either not wise or not creative is curious or not humble and vice versa. If someone is either generous or not happy then someone is kind. Everyone who is either curious or patie... | Susan is not curious. | entailment | ((?[X]:(wise(X)))=>(?[X]:((tall(X)|curious(X)))))&
((?[X]:((~quiet(X)|~brave(X))))<=>(?[X]:(happy(X))))&
(![X]:((~wise(X)<~>~creative(X))<=>(curious(X)|~humble(X))))&
((?[X]:((generous(X)<~>~happy(X))))=>(?[X]:(kind(X))))&
(![X]:((curious(X)<~>patient(X))<=>curious(X)))&
(![X]:(curious(X)=>~happy(X)))&
(![X]:((rich(X)<... | ~curious(susan) | [
"p3",
"p4",
"p5",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2356497288646654940189159
% SZS output start Proof for 2356497288646654940189159
4. ? [X0] : (generous(X0) <~> ~happy(X0)) => ? [X0] : kind(X0) [input p3]
5. ! [X0] : ((curious(X0) <~> patient(X0)) <=> curious(X0)) [input p4]
6. ! [X0] : (curious(X0) => ~happy(X0)) [input p5]
9. ! [X0] : ... | 0 |
Everyone who is either not tall or not calm is not patient or calm and vice versa.
If paul is either strong or funny then lucy is funny and vice versa.
Everyone who is either calm or not wise is not wise and vice versa.
Everyone who is tall is either rich or tall.
Everyone who is both funny and not tall is either funny... | Mary is not rich. | neutral | (![X]:((~tall(X)<~>~calm(X))<=>(~patient(X)|calm(X))))&
(((strong(paul)<~>funny(paul)))<=>(funny(lucy)))&
(![X]:((calm(X)<~>~wise(X))<=>~wise(X)))&
(![X]:(tall(X)=>(rich(X)<~>tall(X))))&
(![X]:((funny(X)&~tall(X))<=>(funny(X)<~>~creative(X))))&
(![X]:((~curious(X)&creative(X))=>(strong(X)&~patient(X))))&
((?[X]:(~funny... | ~rich(mary) | [] | null | 0 |
If someone is not old or not humble then someone is either wise or funny and vice versa.
If someone is both curious and wise then someone is both brave and not happy and vice versa.
If mary is either not happy or not creative then mary is either not patient or not strong.
Everyone who is not kind is either not quiet or... | Mary is not rich. | contradiction | ((?[X]:((~old(X)|~humble(X))))<=>(?[X]:((wise(X)<~>funny(X)))))&
((?[X]:((curious(X)&wise(X))))<=>(?[X]:((brave(X)&~happy(X)))))&
(((~happy(mary)<~>~creative(mary)))=>((~patient(mary)<~>~strong(mary))))&
(![X]:(~kind(X)<=>(~quiet(X)<~>old(X))))&
(((~quiet(john)<~>tall(john)))=>(?[X]:(patient(X))))&
(![X]:((~generous(X)... | ~rich(mary) | [
"p3",
"p6",
"p7",
"p9",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8747895019264157797141099
% SZS output start Proof for 8747895019264157797141099
4. ! [X0] : (~kind(X0) <=> (~quiet(X0) <~> old(X0))) [input p3]
7. ? [X0] : (~tall(X0) | ~strong(X0)) <=> calm(mary) [input p6]
8. ! [X0] : ((kind(X0) & ~strong(X0)) <=> (~old(X0) <~> tall(X0))) [input p7]
10... | 0 |
Everyone who is funny is either not creative or quiet.
If paul is both curious and calm then mary is not wise and vice versa.
Everyone who is humble or generous is both patient and not old and vice versa.
If susan is wise or not rich then fred is wise and vice versa.
If alice is either not wise or not tall then john is... | Lucy is not wise. | entailment | (![X]:(funny(X)=>(~creative(X)<~>quiet(X))))&
(((curious(paul)&calm(paul)))<=>(~wise(mary)))&
(![X]:((humble(X)|generous(X))<=>(patient(X)&~old(X))))&
(((wise(susan)|~rich(susan)))<=>(wise(fred)))&
(((~wise(alice)<~>~tall(alice)))<=>((~old(john)<~>~creative(john))))&
(![X]:((quiet(X)&~rich(X))<=>generous(X)))&
(![X]:((... | ~wise(lucy) | [
"p2",
"p6",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5312449598701465830651722
% SZS output start Proof for 5312449598701465830651722
3. ! [X0] : ((generous(X0) | humble(X0)) <=> (~old(X0) & patient(X0))) [input p2]
7. ! [X0] : ((~calm(X0) | ~brave(X0)) => (humble(X0) & ~generous(X0))) [input p6]
8. ! [X0] : ((creative(X0) | ~humble(X0)) <=... | 0 |
Everyone who is either humble or not creative is not happy or not rich.
Everyone who is not humble or creative is not strong.
Everyone who is not wise is both generous and strong.
If someone is either not quiet or wise then lucy is creative and vice versa.
Everyone who is strong is either curious or calm and vice versa... | Susan is calm. | contradiction | (![X]:((humble(X)<~>~creative(X))=>(~happy(X)|~rich(X))))&
(![X]:((~humble(X)|creative(X))=>~strong(X)))&
(![X]:(~wise(X)=>(generous(X)&strong(X))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(creative(lucy)))&
(![X]:(strong(X)<=>(curious(X)<~>calm(X))))&
(((quiet(lucy)&~kind(lucy)))=>((tall(susan)<~>~patient(susan))))&
((?[X]... | calm(susan) | [
"p1",
"p4",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8619628335577897142920175
% SZS output start Proof for 8619628335577897142920175
2. ! [X0] : ((creative(X0) | ~humble(X0)) => ~strong(X0)) [input p1]
5. ! [X0] : (strong(X0) <=> (curious(X0) <~> calm(X0))) [input p4]
8. ! [X0] : ((curious(X0) <~> tall(X0)) => (~happy(X0) & tall(X0))) [inp... | 0 |
Everyone who is either not funny or kind is either generous or tall.
If someone is either funny or not rich then someone is both curious and not creative and vice versa.
Everyone who is not humble is either happy or tall and vice versa.
Everyone who is either not old or not happy is both happy and creative.
If someone ... | Susan is not strong. | entailment | (![X]:((~funny(X)<~>kind(X))=>(generous(X)<~>tall(X))))&
((?[X]:((funny(X)<~>~rich(X))))<=>(?[X]:((curious(X)&~creative(X)))))&
(![X]:(~humble(X)<=>(happy(X)<~>tall(X))))&
(![X]:((~old(X)<~>~happy(X))=>(happy(X)&creative(X))))&
((?[X]:((brave(X)&strong(X))))<=>(curious(lucy)))&
((?[X]:(creative(X)))=>(?[X]:(funny(X))))... | ~strong(susan) | [
"p6",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6820783626309243822655651
% SZS output start Proof for 6820783626309243822655651
7. ! [X0] : (curious(X0) <=> ~rich(X0)) [input p6]
8. ! [X0] : ((~rich(X0) <~> ~funny(X0)) <=> (old(X0) | ~funny(X0))) [input p7]
13. ! [X0] : (generous(X0) => (calm(X0) & ~strong(X0))) [input p12]
15. genero... | 0 |
Everyone who is both creative and not curious is not patient.
Everyone who is both not rich and not happy is both not brave and not rich.
If someone is both not funny and not creative then someone is not creative and vice versa.
If paul is not generous or not wise then susan is both not generous and not strong and vice... | Susan is not generous. | entailment | (![X]:((creative(X)&~curious(X))=>~patient(X)))&
(![X]:((~rich(X)&~happy(X))=>(~brave(X)&~rich(X))))&
((?[X]:((~funny(X)&~creative(X))))<=>(?[X]:(~creative(X))))&
(((~generous(paul)|~wise(paul)))<=>((~generous(susan)&~strong(susan))))&
((~wise(paul))<=>(?[X]:((~rich(X)|brave(X)))))&
((?[X]:(~tall(X)))<=>((funny(fred)<~... | ~generous(susan) | [
"p3",
"p4",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8875835870240836598143049
% SZS output start Proof for 8875835870240836598143049
4. (~wise(paul) | ~generous(paul)) <=> (~strong(susan) & ~generous(susan)) [input p3]
5. ~wise(paul) <=> ? [X0] : (brave(X0) | ~rich(X0)) [input p4]
11. ? [X0] : (funny(X0) | ~curious(X0)) <=> ? [X0] : (patie... | 0 |
Everyone who is both not patient and not tall is not patient or not humble.
If fred is both not quiet and not kind then someone is either curious or not calm and vice versa.
Everyone who is not rich is either not tall or rich and vice versa.
Everyone who is either brave or not rich is either not happy or not strong.
Ev... | John is creative. | contradiction | (![X]:((~patient(X)&~tall(X))=>(~patient(X)|~humble(X))))&
(((~quiet(fred)&~kind(fred)))<=>(?[X]:((curious(X)<~>~calm(X)))))&
(![X]:(~rich(X)<=>(~tall(X)<~>rich(X))))&
(![X]:((brave(X)<~>~rich(X))=>(~happy(X)<~>~strong(X))))&
(![X]:((creative(X)<~>~old(X))=>(brave(X)&~wise(X))))&
(((~creative(john)<~>~wise(john)))<=>(?... | creative(john) | [
"p2",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8360385973248041129692848
% SZS output start Proof for 8360385973248041129692848
3. ! [X0] : (~rich(X0) <=> (~tall(X0) <~> rich(X0))) [input p2]
14. ~creative(john) <=> ? [X0] : happy(X0) [input p13]
16. ! [X0] : ((old(X0) | ~happy(X0)) => (tall(X0) & ~quiet(X0))) [input p15]
24. creative... | 0 |
Everyone who is either humble or not strong is either not quiet or not patient.
If someone is rich or old then alice is either not creative or not patient.
If john is curious then someone is either not kind or not quiet.
Everyone who is both not tall and generous is not brave.
If someone is wise then alice is either no... | Alice is happy. | contradiction | (![X]:((humble(X)<~>~strong(X))=>(~quiet(X)<~>~patient(X))))&
((?[X]:((rich(X)|old(X))))=>((~creative(alice)<~>~patient(alice))))&
((curious(john))=>(?[X]:((~kind(X)<~>~quiet(X)))))&
(![X]:((~tall(X)&generous(X))=>~brave(X)))&
((?[X]:(wise(X)))=>((~creative(alice)<~>old(alice))))&
(((happy(mary)&rich(mary)))=>(?[X]:(~k... | happy(alice) | [
"p1",
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6417055552674354077975410
% SZS output start Proof for 6417055552674354077975410
2. ? [X0] : (old(X0) | rich(X0)) => (~creative(alice) <~> ~patient(alice)) [input p1]
9. ! [X0] : ((~creative(X0) | ~old(X0)) => (~quiet(X0) <~> ~patient(X0))) [input p8]
11. ! [X0] : ((strong(X0) & quiet(X0)... | 0 |
Everyone who is either not old or not quiet is either not kind or patient.
Everyone who is calm or generous is not brave or curious and vice versa.
Everyone who is creative is both not happy and not patient and vice versa.
Everyone who is brave or kind is both happy and tall.
If john is either not calm or happy then so... | Alice is not quiet. | neutral | (![X]:((~old(X)<~>~quiet(X))=>(~kind(X)<~>patient(X))))&
(![X]:((calm(X)|generous(X))<=>(~brave(X)|curious(X))))&
(![X]:(creative(X)<=>(~happy(X)&~patient(X))))&
(![X]:((brave(X)|kind(X))=>(happy(X)&tall(X))))&
(((~calm(john)<~>happy(john)))<=>(?[X]:(~calm(X))))&
((tall(alice))=>(?[X]:((~calm(X)&funny(X)))))&
((?[X]:((... | ~quiet(alice) | [] | null | 0 |
Everyone who is both wise and not rich is either curious or not brave.
Everyone who is both wise and not strong is either wise or not quiet and vice versa.
If someone is both happy and patient then alice is not funny and vice versa.
If fred is both tall and not quiet then someone is not calm or not tall and vice versa.... | Fred is kind. | entailment | (![X]:((wise(X)&~rich(X))=>(curious(X)<~>~brave(X))))&
(![X]:((wise(X)&~strong(X))<=>(wise(X)<~>~quiet(X))))&
((?[X]:((happy(X)&patient(X))))<=>(~funny(alice)))&
(((tall(fred)&~quiet(fred)))<=>(?[X]:((~calm(X)|~tall(X)))))&
((strong(mary))<=>(quiet(lucy)))&
((?[X]:((tall(X)&~kind(X))))<=>((curious(mary)&~curious(mary))... | kind(fred) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1364130965405333539907744
% SZS output start Proof for 1364130965405333539907744
4. (~quiet(fred) & tall(fred)) <=> ? [X0] : (~tall(X0) | ~calm(X0)) [input p3]
6. ? [X0] : (~kind(X0) & tall(X0)) <=> (~curious(mary) & curious(mary)) [input p5]
25. ~kind(fred) [input hypothesis]
45. ((~quie... | 0 |
Everyone who is patient or not patient is calm or tall.
Everyone who is both not rich and not humble is both generous and wise and vice versa.
Everyone who is not quiet is kind and vice versa.
If susan is quiet or happy then john is either not old or funny and vice versa.
Everyone who is strong or old is either not hum... | Alice is strong. | contradiction | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&wise(X))))&
(![X]:(~quiet(X)<=>kind(X)))&
(((quiet(susan)|happy(susan)))<=>((~old(john)<~>funny(john))))&
(![X]:((strong(X)|old(X))<=>(~humble(X)<~>patient(X))))&
(![X]:((brave(X)<~>~generous(X))=>(calm(X)|~wise(X))))&
((?... | strong(alice) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8880047977761471027792381
% SZS output start Proof for 8880047977761471027792381
11. ! [X0] : ((~old(X0) | funny(X0)) <=> (~strong(X0) & wise(X0))) [input p10]
12. ! [X0] : ((strong(X0) <~> ~funny(X0)) <=> (~tall(X0) <~> tall(X0))) [input p11]
25. strong(alice) [input hypothesis]
59. ! [X... | 0 |
If someone is brave or patient then someone is patient or wise and vice versa.
Everyone who is not kind or calm is old.
Everyone who is wise or generous is creative or brave.
Everyone who is old is humble or not tall.
If lucy is either strong or funny then someone is both strong and brave and vice versa.
If mary is not... | John is rich. | neutral | ((?[X]:((brave(X)|patient(X))))<=>(?[X]:((patient(X)|wise(X)))))&
(![X]:((~kind(X)|calm(X))=>old(X)))&
(![X]:((wise(X)|generous(X))=>(creative(X)|brave(X))))&
(![X]:(old(X)=>(humble(X)|~tall(X))))&
(((strong(lucy)<~>funny(lucy)))<=>(?[X]:((strong(X)&brave(X)))))&
((~quiet(mary))<=>(?[X]:((~tall(X)|creative(X)))))&
((qu... | rich(john) | [] | null | 0 |
If someone is either not curious or humble then paul is either not happy or not brave. If susan is quiet then susan is either funny or curious and vice versa. If susan is either kind or not funny then john is either happy or not funny. If mary is both not rich and not quiet then fred is tall or generous and vice versa.... | Paul is not humble. | neutral | ((?[X]:((~curious(X)<~>humble(X))))=>((~happy(paul)<~>~brave(paul))))&
((quiet(susan))<=>((funny(susan)<~>curious(susan))))&
(((kind(susan)<~>~funny(susan)))=>((happy(john)<~>~funny(john))))&
(((~rich(mary)&~quiet(mary)))<=>((tall(fred)|generous(fred))))&
(![X]:((~brave(X)&~curious(X))=>(~old(X)<~>creative(X))))&
((?[X... | ~humble(paul) | [] | null | 0 |
If someone is both tall and not brave then someone is not tall and vice versa.
If someone is either creative or not curious then someone is either not creative or wise.
Everyone who is both not kind and generous is rich.
Everyone who is either creative or not calm is both not kind and not wise and vice versa.
If someon... | Paul is rich. | neutral | ((?[X]:((tall(X)&~brave(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((creative(X)<~>~curious(X))))=>(?[X]:((~creative(X)<~>wise(X)))))&
(![X]:((~kind(X)&generous(X))=>rich(X)))&
(![X]:((creative(X)<~>~calm(X))<=>(~kind(X)&~wise(X))))&
((?[X]:(patient(X)))=>(?[X]:((~tall(X)&patient(X)))))&
(![X]:(funny(X)=>(happy(X)&creative(X))... | rich(paul) | [] | null | 0 |
If susan is either kind or patient then someone is both calm and not creative and vice versa.
Everyone who is either happy or kind is either not funny or rich and vice versa.
If someone is brave or not calm then paul is both not patient and not strong and vice versa.
If someone is patient or quiet then someone is eithe... | Paul is not quiet. | neutral | (((kind(susan)<~>patient(susan)))<=>(?[X]:((calm(X)&~creative(X)))))&
(![X]:((happy(X)<~>kind(X))<=>(~funny(X)<~>rich(X))))&
((?[X]:((brave(X)|~calm(X))))<=>((~patient(paul)&~strong(paul))))&
((?[X]:((patient(X)|quiet(X))))=>(?[X]:((patient(X)<~>humble(X)))))&
(![X]:((~generous(X)&patient(X))<=>(creative(X)&kind(X))))&... | ~quiet(paul) | [] | null | 0 |
If susan is either not kind or calm then paul is wise or not calm and vice versa. Everyone who is rich is either calm or quiet and vice versa. If someone is not tall or not happy then someone is curious and vice versa. If someone is either not old or funny then paul is either not funny or not calm. Everyone who is not ... | Paul is calm. | entailment | (((~kind(susan)<~>calm(susan)))<=>((wise(paul)|~calm(paul))))&
(![X]:(rich(X)<=>(calm(X)<~>quiet(X))))&
((?[X]:((~tall(X)|~happy(X))))<=>(?[X]:(curious(X))))&
((?[X]:((~old(X)<~>funny(X))))=>((~funny(paul)<~>~calm(paul))))&
(![X]:((~rich(X)|~strong(X))=>(rich(X)|kind(X))))&
(![X]:((~wise(X)|~rich(X))<=>(old(X)|~funny(X... | calm(paul) | [
"p3",
"p5",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4391412362712187491429983
% SZS output start Proof for 4391412362712187491429983
4. ? [X0] : (~old(X0) <~> funny(X0)) => (~funny(paul) <~> ~calm(paul)) [input p3]
6. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (~funny(X0) | old(X0))) [input p5]
11. ! [X0] : ((~humble(X0) | rich(X0)) => strong(X... | 0 |
If someone is not strong or not creative then john is both not creative and wise and vice versa.
Everyone who is kind or not humble is both not quiet and calm and vice versa.
If someone is both brave and calm then mary is patient or not generous and vice versa.
Everyone who is not old or not humble is not tall or happy... | Alice is patient. | neutral | ((?[X]:((~strong(X)|~creative(X))))<=>((~creative(john)&wise(john))))&
(![X]:((kind(X)|~humble(X))<=>(~quiet(X)&calm(X))))&
((?[X]:((brave(X)&calm(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~old(X)|~humble(X))<=>(~tall(X)|happy(X))))&
(![X]:((curious(X)&quiet(X))=>~brave(X)))&
(![X]:(~old(X)=>(~tall(X)&~happy(... | patient(alice) | [] | null | 0 |
Everyone who is either not calm or wise is both rich and kind.
Everyone who is both not curious and tall is not creative and vice versa.
Everyone who is not brave is either quiet or not wise and vice versa.
Everyone who is both not brave and calm is not creative or kind and vice versa.
If someone is both humble and not... | Mary is not calm. | contradiction | (![X]:((~calm(X)<~>wise(X))=>(rich(X)&kind(X))))&
(![X]:((~curious(X)&tall(X))<=>~creative(X)))&
(![X]:(~brave(X)<=>(quiet(X)<~>~wise(X))))&
(![X]:((~brave(X)&calm(X))<=>(~creative(X)|kind(X))))&
((?[X]:((humble(X)&~quiet(X))))=>((kind(paul)<~>funny(paul))))&
((?[X]:((~strong(X)|generous(X))))<=>((~brave(mary)|strong(m... | ~calm(mary) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7495779967888856913812424
% SZS output start Proof for 7495779967888856913812424
1. ! [X0] : ((~calm(X0) <~> wise(X0)) => (kind(X0) & rich(X0))) [input p0]
2. ! [X0] : ((tall(X0) & ~curious(X0)) <=> ~creative(X0)) [input p1]
4. ! [X0] : ((calm(X0) & ~brave(X0)) <=> (kind(X0) | ~creative(X... | 0 |
If susan is not rich or quiet then someone is curious or creative and vice versa. If someone is either not old or tall then someone is both brave and humble and vice versa. Everyone who is both creative and not wise is not tall or not patient and vice versa. Everyone who is both not wise and funny is either kind or wis... | Mary is not brave. | entailment | (((~rich(susan)|quiet(susan)))<=>(?[X]:((curious(X)|creative(X)))))&
((?[X]:((~old(X)<~>tall(X))))<=>(?[X]:((brave(X)&humble(X)))))&
(![X]:((creative(X)&~wise(X))<=>(~tall(X)|~patient(X))))&
(![X]:((~wise(X)&funny(X))=>(kind(X)<~>wise(X))))&
(![X]:(brave(X)=>~kind(X)))&
((?[X]:((~strong(X)<~>~wise(X))))=>(?[X]:((funny(... | ~brave(mary) | [
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2801872995835564823431759
% SZS output start Proof for 2801872995835564823431759
5. ! [X0] : (brave(X0) => ~kind(X0)) [input p4]
18. kind(mary) & ~wise(mary) [input p17]
24. brave(mary) [input hypothesis]
30. ! [X0] : (~kind(X0) | ~brave(X0)) [ennf transformation 5]
100. ~kind(X0) | ~brav... | 0 |
Everyone who is not calm is not strong or kind. Everyone who is not patient is either generous or patient and vice versa. If lucy is either curious or not humble then susan is both generous and not kind. Everyone who is not happy or not wise is quiet or calm. If someone is not patient then john is either not generous o... | John is generous. | entailment | (![X]:(~calm(X)=>(~strong(X)|kind(X))))&
(![X]:(~patient(X)<=>(generous(X)<~>patient(X))))&
(((curious(lucy)<~>~humble(lucy)))=>((generous(susan)&~kind(susan))))&
(![X]:((~happy(X)|~wise(X))=>(quiet(X)|calm(X))))&
((?[X]:(~patient(X)))<=>((~generous(john)<~>~brave(john))))&
(((generous(mary)|happy(mary)))<=>(~humble(ma... | generous(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7195724776253347146492230
% SZS output start Proof for 7195724776253347146492230
2. ! [X0] : (~patient(X0) <=> (generous(X0) <~> patient(X0))) [input p1]
24. ~generous(john) [input hypothesis]
39. ! [X0] : ((~patient(X0) | ((generous(X0) | ~patient(X0)) & (patient(X0) | ~generous(X0)))) &... | 0 |
If someone is kind then john is either not quiet or humble and vice versa.
Everyone who is not generous is not generous or old and vice versa.
If susan is generous then alice is both not kind and not wise and vice versa.
Everyone who is either not quiet or funny is rich.
If someone is either old or curious then lucy is... | Paul is not old. | entailment | ((?[X]:(kind(X)))<=>((~quiet(john)<~>humble(john))))&
(![X]:(~generous(X)<=>(~generous(X)|old(X))))&
((generous(susan))<=>((~kind(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>funny(X))=>rich(X)))&
((?[X]:((old(X)<~>curious(X))))<=>((~brave(lucy)<~>strong(lucy))))&
((?[X]:((strong(X)&brave(X))))<=>(?[X]:(curious(X))))&
(... | ~old(paul) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7031157154235685308233933
% SZS output start Proof for 7031157154235685308233933
2. ! [X0] : (~generous(X0) <=> (old(X0) | ~generous(X0))) [input p1]
10. ! [X0] : (~generous(X0) <=> (~curious(X0) & ~old(X0))) [input p9]
23. old(paul) [input hypothesis]
37. ! [X0] : ((~generous(X0) | (~old... | 0 |
Everyone who is not old is strong and vice versa. If paul is either not quiet or not creative then someone is funny or not tall and vice versa. Everyone who is not creative is not curious. If fred is humble then someone is not funny or not kind and vice versa. If someone is not old or calm then fred is both quiet and n... | Lucy is kind. | entailment | (![X]:(~old(X)<=>strong(X)))&
(((~quiet(paul)<~>~creative(paul)))<=>(?[X]:((funny(X)|~tall(X)))))&
(![X]:(~creative(X)=>~curious(X)))&
((humble(fred))<=>(?[X]:((~funny(X)|~kind(X)))))&
((?[X]:((~old(X)|calm(X))))=>((quiet(fred)&~happy(fred))))&
(![X]:((~strong(X)<~>strong(X))=>funny(X)))&
(![X]:((creative(X)|wise(X))<=... | kind(lucy) | [
"p0",
"p5",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4647693989052350654830924
% SZS output start Proof for 4647693989052350654830924
1. ! [X0] : (~old(X0) <=> strong(X0)) [input p0]
6. ! [X0] : ((~strong(X0) <~> strong(X0)) => funny(X0)) [input p5]
10. ! [X0] : (~old(X0) => kind(X0)) [input p9]
13. ! [X0] : (strong(X0) <=> (~old(X0) | calm... | 0 |
If paul is not brave then someone is not kind or tall and vice versa.
If someone is both generous and funny then alice is creative or not patient and vice versa.
Everyone who is either not kind or not quiet is either not calm or not wise.
Everyone who is either funny or old is brave or not rich and vice versa.
Everyone... | Paul is not wise. | neutral | ((~brave(paul))<=>(?[X]:((~kind(X)|tall(X)))))&
((?[X]:((generous(X)&funny(X))))<=>((creative(alice)|~patient(alice))))&
(![X]:((~kind(X)<~>~quiet(X))=>(~calm(X)<~>~wise(X))))&
(![X]:((funny(X)<~>old(X))<=>(brave(X)|~rich(X))))&
(![X]:((quiet(X)&kind(X))<=>brave(X)))&
(![X]:((~humble(X)<~>~creative(X))=>(~kind(X)&kind(... | ~wise(paul) | [] | null | 0 |
Everyone who is happy or kind is both kind and not humble.
Everyone who is both old and not happy is not calm or creative.
Everyone who is strong or tall is either curious or creative.
If someone is calm or not creative then alice is old.
If someone is not strong then someone is not patient or not generous.
If paul is ... | Fred is patient. | contradiction | (![X]:((happy(X)|kind(X))=>(kind(X)&~humble(X))))&
(![X]:((old(X)&~happy(X))=>(~calm(X)|creative(X))))&
(![X]:((strong(X)|tall(X))=>(curious(X)<~>creative(X))))&
((?[X]:((calm(X)|~creative(X))))=>(old(alice)))&
((?[X]:(~strong(X)))=>(?[X]:((~patient(X)|~generous(X)))))&
(((~kind(paul)&~brave(paul)))<=>(?[X]:((~old(X)<~... | patient(fred) | [
"p3",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1951734149466041114464730
% SZS output start Proof for 1951734149466041114464730
4. ? [X0] : (~creative(X0) | calm(X0)) => old(alice) [input p3]
14. ! [X0] : ((~old(X0) & ~rich(X0)) <=> old(X0)) [input p13]
15. (~creative(fred) & ~quiet(fred)) <=> ? [X0] : (~brave(X0) <~> ~patient(X0)) [i... | 0 |
If someone is happy or not humble then alice is both not humble and funny. If someone is both not curious and rich then fred is both funny and not curious and vice versa. Everyone who is either not strong or rich is humble or not brave. Everyone who is kind or brave is both not quiet and patient. Everyone who is both n... | Mary is not wise. | entailment | ((?[X]:((happy(X)|~humble(X))))=>((~humble(alice)&funny(alice))))&
((?[X]:((~curious(X)&rich(X))))<=>((funny(fred)&~curious(fred))))&
(![X]:((~strong(X)<~>rich(X))=>(humble(X)|~brave(X))))&
(![X]:((kind(X)|brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((~tall(X)&~curious(X))=>strong(X)))&
(![X]:((~happy(X)|brave(X))<=>(~t... | ~wise(mary) | [
"p3",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1193158388817085750702264
% SZS output start Proof for 1193158388817085750702264
4. ! [X0] : ((brave(X0) | kind(X0)) => (patient(X0) & ~quiet(X0))) [input p3]
9. ! [X0] : (patient(X0) <=> (quiet(X0) & tall(X0))) [input p8]
15. (~kind(mary) <~> wise(mary)) <=> ? [X0] : (wise(X0) | ~creativ... | 0 |
Everyone who is not calm is not old or not creative.
If someone is not curious or rich then someone is not funny and vice versa.
Everyone who is either not quiet or not rich is either old or humble and vice versa.
Everyone who is creative or generous is either not brave or funny.
If someone is rich then mary is not wis... | Mary is not creative. | neutral | (![X]:(~calm(X)=>(~old(X)|~creative(X))))&
((?[X]:((~curious(X)|rich(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~quiet(X)<~>~rich(X))<=>(old(X)<~>humble(X))))&
(![X]:((creative(X)|generous(X))=>(~brave(X)<~>funny(X))))&
((?[X]:(rich(X)))<=>(~wise(mary)))&
((?[X]:((~patient(X)&creative(X))))<=>(quiet(susan)))&
(![X]:((generou... | ~creative(mary) | [] | null | 0 |
If someone is tall then someone is wise.
If someone is funny then lucy is generous.
Everyone who is old is not kind and vice versa.
If someone is both not quiet and creative then paul is either not generous or creative and vice versa.
Everyone who is curious or not creative is both strong and creative and vice versa.
I... | Fred is not calm. | contradiction | ((?[X]:(tall(X)))=>(?[X]:(wise(X))))&
((?[X]:(funny(X)))=>(generous(lucy)))&
(![X]:(old(X)<=>~kind(X)))&
((?[X]:((~quiet(X)&creative(X))))<=>((~generous(paul)<~>creative(paul))))&
(![X]:((curious(X)|~creative(X))<=>(strong(X)&creative(X))))&
((?[X]:((~patient(X)|old(X))))=>((patient(paul)<~>~brave(paul))))&
((?[X]:((st... | ~calm(fred) | [
"p4",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5794800060248947494586556
% SZS output start Proof for 5794800060248947494586556
5. ! [X0] : ((~creative(X0) | curious(X0)) <=> (creative(X0) & strong(X0))) [input p4]
10. ? [X0] : (happy(X0) <~> creative(X0)) => (creative(fred) <~> ~calm(fred)) [input p9]
15. ! [X0] : ((~kind(X0) & ~happ... | 0 |
If mary is not quiet or quiet then mary is either not tall or strong.
Everyone who is either funny or humble is not creative.
Everyone who is curious is humble or not old.
If paul is both generous and not generous then alice is not humble.
Everyone who is both old and curious is old or not old and vice versa.
If someon... | Mary is not humble. | contradiction | (((~quiet(mary)|quiet(mary)))=>((~tall(mary)<~>strong(mary))))&
(![X]:((funny(X)<~>humble(X))=>~creative(X)))&
(![X]:(curious(X)=>(humble(X)|~old(X))))&
(((generous(paul)&~generous(paul)))=>(~humble(alice)))&
(![X]:((old(X)&curious(X))<=>(old(X)|~old(X))))&
((?[X]:((curious(X)|~humble(X))))<=>(?[X]:(humble(X))))&
(![X]... | ~humble(mary) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2639365687893433152380000
% SZS output start Proof for 2639365687893433152380000
3. ! [X0] : (curious(X0) => (~old(X0) | humble(X0))) [input p2]
5. ! [X0] : ((curious(X0) & old(X0)) <=> (~old(X0) | old(X0))) [input p4]
23. ~humble(mary) [input hypothesis]
30. ! [X0] : ((~old(X0) | humble(... | 0 |
Everyone who is rich or not curious is either funny or not curious and vice versa.
If susan is not tall then someone is either funny or creative and vice versa.
Everyone who is both happy and not wise is either quiet or humble and vice versa.
If mary is either not funny or wise then lucy is brave or not kind.
Everyone ... | Mary is wise. | neutral | (![X]:((rich(X)|~curious(X))<=>(funny(X)<~>~curious(X))))&
((~tall(susan))<=>(?[X]:((funny(X)<~>creative(X)))))&
(![X]:((happy(X)&~wise(X))<=>(quiet(X)<~>humble(X))))&
(((~funny(mary)<~>wise(mary)))=>((brave(lucy)|~kind(lucy))))&
(![X]:(funny(X)<=>(~happy(X)<~>humble(X))))&
((brave(paul))=>((happy(alice)&brave(alice)))... | wise(mary) | [] | null | 0 |
If someone is either not brave or not kind then someone is either not creative or quiet.
Everyone who is not humble or happy is not old or strong and vice versa.
Everyone who is both not generous and calm is either wise or not kind and vice versa.
If mary is either not kind or not curious then fred is not rich or not c... | John is not curious. | neutral | ((?[X]:((~brave(X)<~>~kind(X))))=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:((~humble(X)|happy(X))<=>(~old(X)|strong(X))))&
(![X]:((~generous(X)&calm(X))<=>(wise(X)<~>~kind(X))))&
(((~kind(mary)<~>~curious(mary)))=>((~rich(fred)|~creative(fred))))&
(![X]:((old(X)|~strong(X))=>(wise(X)&generous(X))))&
((?[X]:((~quiet(X... | ~curious(john) | [] | null | 0 |
If someone is either kind or tall then someone is humble.
If someone is not tall then someone is both happy and not happy and vice versa.
If paul is not old or not funny then someone is either happy or calm.
Everyone who is either strong or not rich is patient or not kind and vice versa.
If someone is happy or not crea... | Lucy is rich. | neutral | ((?[X]:((kind(X)<~>tall(X))))=>(?[X]:(humble(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((happy(X)&~happy(X)))))&
(((~old(paul)|~funny(paul)))=>(?[X]:((happy(X)<~>calm(X)))))&
(![X]:((strong(X)<~>~rich(X))<=>(patient(X)|~kind(X))))&
((?[X]:((happy(X)|~creative(X))))=>((curious(john)|~calm(john))))&
(![X]:(strong(X)<=>(~curious(... | rich(lucy) | [] | null | 0 |
If someone is rich then lucy is not generous or brave. Everyone who is either wise or creative is both not quiet and quiet and vice versa. Everyone who is old is not happy or not curious and vice versa. Everyone who is both calm and not quiet is not old and vice versa. Everyone who is not generous is wise and vice vers... | Lucy is wise. | contradiction | ((?[X]:(rich(X)))=>((~generous(lucy)|brave(lucy))))&
(![X]:((wise(X)<~>creative(X))<=>(~quiet(X)&quiet(X))))&
(![X]:(old(X)<=>(~happy(X)|~curious(X))))&
(![X]:((calm(X)&~quiet(X))<=>~old(X)))&
(![X]:(~generous(X)<=>wise(X)))&
((~funny(john))<=>((funny(mary)<~>~rich(mary))))&
(![X]:((~rich(X)&~generous(X))=>(~patient(X)... | wise(lucy) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6644699785255556392636860
% SZS output start Proof for 6644699785255556392636860
2. ! [X0] : ((wise(X0) <~> creative(X0)) <=> (quiet(X0) & ~quiet(X0))) [input p1]
10. ! [X0] : ((~brave(X0) | creative(X0)) <=> ~creative(X0)) [input p9]
21. wise(lucy) [input hypothesis]
30. ! [X0] : ((((~cr... | 0 |
Everyone who is patient is funny or humble and vice versa.
Everyone who is not creative is humble.
If susan is either not calm or kind then someone is generous or humble.
If someone is not kind or calm then john is not strong.
If someone is both strong and wise then someone is strong or funny.
If fred is not wise then ... | John is not patient. | contradiction | (![X]:(patient(X)<=>(funny(X)|humble(X))))&
(![X]:(~creative(X)=>humble(X)))&
(((~calm(susan)<~>kind(susan)))=>(?[X]:((generous(X)|humble(X)))))&
((?[X]:((~kind(X)|calm(X))))=>(~strong(john)))&
((?[X]:((strong(X)&wise(X))))=>(?[X]:((strong(X)|funny(X)))))&
((~wise(fred))<=>(?[X]:((rich(X)&~calm(X)))))&
(((~strong(mary)... | ~patient(john) | [
"p0",
"p1",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6925924858794417354926172
% SZS output start Proof for 6925924858794417354926172
1. ! [X0] : (patient(X0) <=> (humble(X0) | funny(X0))) [input p0]
2. ! [X0] : (~creative(X0) => humble(X0)) [input p1]
8. ! [X0] : (~patient(X0) <=> (rich(X0) <~> patient(X0))) [input p7]
14. ! [X0] : (rich(X... | 0 |
Everyone who is not tall or not kind is not tall or not generous.
Everyone who is both not creative and patient is not generous and vice versa.
Everyone who is both patient and not rich is both not strong and not rich.
If paul is either happy or not strong then susan is not generous.
If fred is both not generous and ca... | Fred is not generous. | neutral | (![X]:((~tall(X)|~kind(X))=>(~tall(X)|~generous(X))))&
(![X]:((~creative(X)&patient(X))<=>~generous(X)))&
(![X]:((patient(X)&~rich(X))=>(~strong(X)&~rich(X))))&
(((happy(paul)<~>~strong(paul)))=>(~generous(susan)))&
(((~generous(fred)&calm(fred)))=>(?[X]:((~strong(X)&~rich(X)))))&
(((~patient(alice)|kind(alice)))<=>(ol... | ~generous(fred) | [] | null | 0 |
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