premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either not funny or not generous then alice is not brave or happy. If someone is either not calm or not brave then someone is curious or humble. Everyone who is rich or patient is not generous or not calm and vice versa. Everyone who is not funny or brave is both not calm and quiet and vice versa. If mary... | Lucy is patient. | entailment | ((?[X]:((~funny(X)<~>~generous(X))))=>((~brave(alice)|happy(alice))))&
((?[X]:((~calm(X)<~>~brave(X))))=>(?[X]:((curious(X)|humble(X)))))&
(![X]:((rich(X)|patient(X))<=>(~generous(X)|~calm(X))))&
(![X]:((~funny(X)|brave(X))<=>(~calm(X)&quiet(X))))&
(((~wise(mary)<~>~curious(mary)))<=>((strong(mary)<~>funny(mary))))&
(!... | patient(lucy) | [
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4546695305091396371320384
% SZS output start Proof for 4546695305091396371320384
6. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (~humble(X0) & quiet(X0))) [input p5]
18. ~happy(lucy) & ~quiet(lucy) [input p17]
25. ~patient(lucy) [input hypothesis]
50. ! [X0] : (((~patient(X0) | ~funny(X0)) ... | 0 |
Everyone who is brave is not generous. If susan is not strong then alice is either not curious or not patient. If someone is both not quiet and not happy then someone is not wise and vice versa. If someone is brave then someone is not quiet and vice versa. Everyone who is either not strong or not funny is either not ol... | Fred is patient. | contradiction | (![X]:(brave(X)=>~generous(X)))&
((~strong(susan))=>((~curious(alice)<~>~patient(alice))))&
((?[X]:((~quiet(X)&~happy(X))))<=>(?[X]:(~wise(X))))&
((?[X]:(brave(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>(~old(X)<~>patient(X))))&
(![X]:(strong(X)<=>~rich(X)))&
(((~wise(susan)<~>~generous(susan)))=>(?[... | patient(fred) | [
"p0",
"p8",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 148360152508991249758102
% SZS output start Proof for 148360152508991249758102
1. ! [X0] : (brave(X0) => ~generous(X0)) [input p0]
9. ! [X0] : ((~happy(X0) & ~humble(X0)) <=> patient(X0)) [input p8]
10. ! [X0] : ((brave(X0) & strong(X0)) <=> (~humble(X0) <~> generous(X0))) [input p9]
12. ... | 0 |
If someone is wise then alice is either not patient or strong and vice versa. Everyone who is tall or not tall is not patient and vice versa. If someone is not strong or not generous then someone is either patient or humble and vice versa. Everyone who is either not rich or kind is funny and vice versa. If someone is e... | Alice is strong. | entailment | ((?[X]:(wise(X)))<=>((~patient(alice)<~>strong(alice))))&
(![X]:((tall(X)|~tall(X))<=>~patient(X)))&
((?[X]:((~strong(X)|~generous(X))))<=>(?[X]:((patient(X)<~>humble(X)))))&
(![X]:((~rich(X)<~>kind(X))<=>funny(X)))&
((?[X]:((~curious(X)<~>strong(X))))=>(?[X]:((quiet(X)|~funny(X)))))&
((?[X]:((~calm(X)|~curious(X))))<=... | strong(alice) | [
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8312891820174146708373243
% SZS output start Proof for 8312891820174146708373243
11. ! [X0] : (~happy(X0) => (~rich(X0) <~> quiet(X0))) [input p10]
12. ! [X0] : ((quiet(X0) & ~rich(X0)) <=> ~strong(X0)) [input p11]
15. ! [X0] : (happy(X0) => (strong(X0) & funny(X0))) [input p14]
24. ~stro... | 0 |
Everyone who is both not rich and not generous is either quiet or not tall and vice versa.
If someone is both not funny and curious then someone is both quiet and not humble and vice versa.
If fred is either strong or not creative then someone is patient or creative.
If susan is both not brave and wise then someone is ... | Fred is strong. | neutral | (![X]:((~rich(X)&~generous(X))<=>(quiet(X)<~>~tall(X))))&
((?[X]:((~funny(X)&curious(X))))<=>(?[X]:((quiet(X)&~humble(X)))))&
(((strong(fred)<~>~creative(fred)))=>(?[X]:((patient(X)|creative(X)))))&
(((~brave(susan)&wise(susan)))=>(?[X]:(calm(X))))&
(![X]:((wise(X)&generous(X))<=>(~quiet(X)&curious(X))))&
(((~quiet(fre... | strong(fred) | [] | null | 0 |
Everyone who is either not quiet or calm is either quiet or not humble.
If someone is brave or not calm then lucy is both not curious and not funny.
Everyone who is both curious and patient is strong or not creative and vice versa.
Everyone who is not strong is not kind or rich and vice versa.
If someone is not rich th... | Fred is not wise. | neutral | (![X]:((~quiet(X)<~>calm(X))=>(quiet(X)<~>~humble(X))))&
((?[X]:((brave(X)|~calm(X))))=>((~curious(lucy)&~funny(lucy))))&
(![X]:((curious(X)&patient(X))<=>(strong(X)|~creative(X))))&
(![X]:(~strong(X)<=>(~kind(X)|rich(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~kind(X)&~creative(X)))))&
(((old(alice)|~humble(alice)))<=>((~tal... | ~wise(fred) | [] | null | 0 |
If mary is not generous then lucy is either not brave or not generous.
If someone is either quiet or patient then alice is quiet or generous and vice versa.
Everyone who is not funny is either not strong or tall and vice versa.
Everyone who is both not wise and strong is both rich and kind and vice versa.
Everyone who ... | John is kind. | entailment | ((~generous(mary))=>((~brave(lucy)<~>~generous(lucy))))&
((?[X]:((quiet(X)<~>patient(X))))<=>((quiet(alice)|generous(alice))))&
(![X]:(~funny(X)<=>(~strong(X)<~>tall(X))))&
(![X]:((~wise(X)&strong(X))<=>(rich(X)&kind(X))))&
(![X]:((~happy(X)|~rich(X))<=>(humble(X)|~quiet(X))))&
((?[X]:((~strong(X)&~patient(X))))=>((fun... | kind(john) | [
"p3",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5558759605534048900458861
% SZS output start Proof for 5558759605534048900458861
4. ! [X0] : ((strong(X0) & ~wise(X0)) <=> (kind(X0) & rich(X0))) [input p3]
17. strong(john) [input p16]
24. ~wise(john) & ~creative(john) [input p23]
25. ~kind(john) [input hypothesis]
43. ! [X0] : (((strong... | 0 |
Everyone who is both not generous and not rich is either not generous or not old.
Everyone who is happy is either tall or not quiet.
Everyone who is either not brave or not creative is either not humble or kind.
If someone is not curious then someone is both funny and creative.
Everyone who is not creative or not kind ... | Susan is curious. | entailment | (![X]:((~generous(X)&~rich(X))=>(~generous(X)<~>~old(X))))&
(![X]:(happy(X)=>(tall(X)<~>~quiet(X))))&
(![X]:((~brave(X)<~>~creative(X))=>(~humble(X)<~>kind(X))))&
((?[X]:(~curious(X)))=>(?[X]:((funny(X)&creative(X)))))&
(![X]:((~creative(X)|~kind(X))<=>~patient(X)))&
(![X]:((~rich(X)|rich(X))=>~strong(X)))&
(((happy(fr... | curious(susan) | [
"p3",
"p4",
"p5",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1440827341092774226961204
% SZS output start Proof for 1440827341092774226961204
4. ? [X0] : ~curious(X0) => ? [X0] : (creative(X0) & funny(X0)) [input p3]
5. ! [X0] : ((~kind(X0) | ~creative(X0)) <=> ~patient(X0)) [input p4]
6. ! [X0] : ((rich(X0) | ~rich(X0)) => ~strong(X0)) [input p5]
... | 0 |
Everyone who is generous is not happy.
Everyone who is both not quiet and wise is not kind or not brave and vice versa.
If someone is either not funny or brave then someone is either curious or not curious.
If fred is old or not strong then susan is funny or creative and vice versa.
Everyone who is strong or humble is ... | Susan is not brave. | contradiction | (![X]:(generous(X)=>~happy(X)))&
(![X]:((~quiet(X)&wise(X))<=>(~kind(X)|~brave(X))))&
((?[X]:((~funny(X)<~>brave(X))))=>(?[X]:((curious(X)<~>~curious(X)))))&
(((old(fred)|~strong(fred)))<=>((funny(susan)|creative(susan))))&
(![X]:((strong(X)|humble(X))=>kind(X)))&
(![X]:(~funny(X)<=>(humble(X)|creative(X))))&
(![X]:((~... | ~brave(susan) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 425097518769996167339080
% SZS output start Proof for 425097518769996167339080
2. ! [X0] : ((wise(X0) & ~quiet(X0)) <=> (~brave(X0) | ~kind(X0))) [input p1]
20. generous(susan) & ~wise(susan) [input p19]
25. ~brave(susan) [input hypothesis]
38. ! [X0] : (((wise(X0) & ~quiet(X0)) | (brave(... | 0 |
Everyone who is not humble is funny and vice versa.
If mary is brave or rich then someone is both old and curious.
Everyone who is both not kind and not rich is quiet or curious and vice versa.
Everyone who is brave is funny or not generous and vice versa.
Everyone who is either old or not creative is not rich and vice... | Fred is not calm. | contradiction | (![X]:(~humble(X)<=>funny(X)))&
(((brave(mary)|rich(mary)))=>(?[X]:((old(X)&curious(X)))))&
(![X]:((~kind(X)&~rich(X))<=>(quiet(X)|curious(X))))&
(![X]:(brave(X)<=>(funny(X)|~generous(X))))&
(![X]:((old(X)<~>~creative(X))<=>~rich(X)))&
(![X]:(~creative(X)<=>~brave(X)))&
(![X]:((~humble(X)&~quiet(X))=>(~brave(X)<~>creat... | ~calm(fred) | [
"p1",
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 137574311235865322242066
% SZS output start Proof for 137574311235865322242066
2. (rich(mary) | brave(mary)) => ? [X0] : (curious(X0) & old(X0)) [input p1]
3. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> (curious(X0) | quiet(X0))) [input p2]
12. ? [X0] : (~wise(X0) | ~rich(X0)) <=> (curious(fred... | 0 |
Everyone who is not curious or brave is not curious or rich.
If someone is both not tall and calm then john is both creative and not happy and vice versa.
Everyone who is funny or not old is not patient or brave and vice versa.
If someone is not humble or curious then lucy is not creative.
Everyone who is both not humb... | John is funny. | entailment | (![X]:((~curious(X)|brave(X))=>(~curious(X)|rich(X))))&
((?[X]:((~tall(X)&calm(X))))<=>((creative(john)&~happy(john))))&
(![X]:((funny(X)|~old(X))<=>(~patient(X)|brave(X))))&
((?[X]:((~humble(X)|curious(X))))=>(~creative(lucy)))&
(![X]:((~humble(X)&patient(X))<=>(~funny(X)|~curious(X))))&
((?[X]:((~creative(X)<~>old(X)... | funny(john) | [
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5094468682067224044156701
% SZS output start Proof for 5094468682067224044156701
5. ! [X0] : ((patient(X0) & ~humble(X0)) <=> (~curious(X0) | ~funny(X0))) [input p4]
20. humble(john) & quiet(john) [input p19]
24. ~funny(john) [input hypothesis]
46. ! [X0] : (((patient(X0) & ~humble(X0)) |... | 0 |
If someone is both wise and rich then lucy is either curious or not patient.
If lucy is patient or tall then someone is either not funny or not patient and vice versa.
If susan is generous or old then paul is not old and vice versa.
If someone is both not brave and curious then someone is not funny and vice versa.
Ever... | John is not generous. | neutral | ((?[X]:((wise(X)&rich(X))))=>((curious(lucy)<~>~patient(lucy))))&
(((patient(lucy)|tall(lucy)))<=>(?[X]:((~funny(X)<~>~patient(X)))))&
(((generous(susan)|old(susan)))<=>(~old(paul)))&
((?[X]:((~brave(X)&curious(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~humble(X)<~>~strong(X))<=>(calm(X)&patient(X))))&
(![X]:((~creative(X)&... | ~generous(john) | [] | null | 0 |
If someone is both not old and not tall then mary is happy or kind.
If someone is not rich then someone is either strong or old.
Everyone who is generous or old is either not strong or not funny.
If fred is either not patient or not calm then alice is both strong and not strong.
If fred is either not brave or kind then... | Fred is not calm. | entailment | ((?[X]:((~old(X)&~tall(X))))=>((happy(mary)|kind(mary))))&
((?[X]:(~rich(X)))=>(?[X]:((strong(X)<~>old(X)))))&
(![X]:((generous(X)|old(X))=>(~strong(X)<~>~funny(X))))&
(((~patient(fred)<~>~calm(fred)))=>((strong(alice)&~strong(alice))))&
(((~brave(fred)<~>kind(fred)))<=>((~brave(mary)&generous(mary))))&
(![X]:((~old(X)... | ~calm(fred) | [
"p3",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1576338193320335953639689
% SZS output start Proof for 1576338193320335953639689
4. (~patient(fred) <~> ~calm(fred)) => (~strong(alice) & strong(alice)) [input p3]
11. ! [X0] : (calm(X0) => (calm(X0) & curious(X0))) [input p10]
16. ! [X0] : ((curious(X0) | ~rich(X0)) <=> (~patient(X0) & f... | 0 |
Everyone who is not funny or funny is both creative and generous and vice versa. If someone is quiet or not humble then alice is either happy or not funny and vice versa. Everyone who is wise or not rich is either generous or funny. Everyone who is both humble and not calm is both calm and not brave. Everyone who is br... | Lucy is not calm. | contradiction | (![X]:((~funny(X)|funny(X))<=>(creative(X)&generous(X))))&
((?[X]:((quiet(X)|~humble(X))))<=>((happy(alice)<~>~funny(alice))))&
(![X]:((wise(X)|~rich(X))=>(generous(X)<~>funny(X))))&
(![X]:((humble(X)&~calm(X))=>(calm(X)&~brave(X))))&
(![X]:(brave(X)<=>(~tall(X)<~>calm(X))))&
(![X]:((~quiet(X)|happy(X))<=>(~wise(X)&gen... | ~calm(lucy) | [
"p0",
"p2",
"p5",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3704227269739638013522109
% SZS output start Proof for 3704227269739638013522109
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (generous(X0) & creative(X0))) [input p0]
3. ! [X0] : ((~rich(X0) | wise(X0)) => (generous(X0) <~> funny(X0))) [input p2]
6. ! [X0] : ((happy(X0) | ~quiet(X0)) <=> (g... | 0 |
If someone is both curious and old then someone is both quiet and not happy and vice versa.
If mary is either not brave or not patient then someone is both creative and not rich and vice versa.
Everyone who is not humble or strong is not creative and vice versa.
Everyone who is both tall and wise is both not happy and ... | Alice is not curious. | neutral | ((?[X]:((curious(X)&old(X))))<=>(?[X]:((quiet(X)&~happy(X)))))&
(((~brave(mary)<~>~patient(mary)))<=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:((~humble(X)|strong(X))<=>~creative(X)))&
(![X]:((tall(X)&wise(X))=>(~happy(X)&~creative(X))))&
(![X]:(generous(X)<=>(creative(X)|brave(X))))&
(![X]:(calm(X)<=>(calm(X)<~>~kind(X)... | ~curious(alice) | [] | null | 0 |
Everyone who is strong is not tall or not kind and vice versa.
If someone is not quiet then someone is either not creative or not quiet.
Everyone who is tall or not funny is both brave and not generous and vice versa.
If lucy is both not strong and not quiet then someone is not kind and vice versa.
If someone is not st... | Fred is rich. | contradiction | (![X]:(strong(X)<=>(~tall(X)|~kind(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~creative(X)<~>~quiet(X)))))&
(![X]:((tall(X)|~funny(X))<=>(brave(X)&~generous(X))))&
(((~strong(lucy)&~quiet(lucy)))<=>(?[X]:(~kind(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
((~funny(mary))=>((strong(fred)&tall(fred))))&
(![X]... | rich(fred) | [
"p0",
"p2",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4319459757727426525323294
% SZS output start Proof for 4319459757727426525323294
1. ! [X0] : (strong(X0) <=> (~kind(X0) | ~tall(X0))) [input p0]
3. ! [X0] : ((~funny(X0) | tall(X0)) <=> (~generous(X0) & brave(X0))) [input p2]
5. ? [X0] : ~strong(X0) <=> ? [X0] : (funny(X0) <~> ~brave(X0))... | 0 |
Everyone who is both not old and funny is either wise or creative. If someone is either not wise or tall then someone is both generous and curious. Everyone who is either not strong or strong is tall or happy. Everyone who is brave or creative is either brave or not curious. Everyone who is not wise is not quiet or not... | Alice is strong. | contradiction | (![X]:((~old(X)&funny(X))=>(wise(X)<~>creative(X))))&
((?[X]:((~wise(X)<~>tall(X))))=>(?[X]:((generous(X)&curious(X)))))&
(![X]:((~strong(X)<~>strong(X))=>(tall(X)|happy(X))))&
(![X]:((brave(X)|creative(X))=>(brave(X)<~>~curious(X))))&
(![X]:(~wise(X)<=>(~quiet(X)|~tall(X))))&
(![X]:((generous(X)|tall(X))=>~patient(X))... | strong(alice) | [
"p4",
"p5",
"p7",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 888305492610318722647851
% SZS output start Proof for 888305492610318722647851
5. ! [X0] : (~wise(X0) <=> (~tall(X0) | ~quiet(X0))) [input p4]
6. ! [X0] : ((tall(X0) | generous(X0)) => ~patient(X0)) [input p5]
8. ! [X0] : ((~patient(X0) <~> ~strong(X0)) => (~curious(X0) & creative(X0))) [... | 0 |
Everyone who is humble or rich is kind.
If someone is both not funny and old then someone is wise.
If someone is not old or not wise then someone is either not old or not brave.
If someone is patient or creative then mary is not curious or quiet.
Everyone who is not generous is not happy and vice versa.
If someone is b... | Mary is kind. | neutral | (![X]:((humble(X)|rich(X))=>kind(X)))&
((?[X]:((~funny(X)&old(X))))=>(?[X]:(wise(X))))&
((?[X]:((~old(X)|~wise(X))))=>(?[X]:((~old(X)<~>~brave(X)))))&
((?[X]:((patient(X)|creative(X))))=>((~curious(mary)|quiet(mary))))&
(![X]:(~generous(X)<=>~happy(X)))&
((?[X]:((~brave(X)&~strong(X))))<=>((~tall(lucy)<~>rich(lucy))))&... | kind(mary) | [] | null | 0 |
Everyone who is either not calm or quiet is not brave or not wise. Everyone who is both tall and not funny is not happy or not quiet. Everyone who is not brave or not strong is either not brave or kind and vice versa. If someone is strong then someone is humble and vice versa. If someone is not old then someone is both... | Susan is funny. | contradiction | (![X]:((~calm(X)<~>quiet(X))=>(~brave(X)|~wise(X))))&
(![X]:((tall(X)&~funny(X))=>(~happy(X)|~quiet(X))))&
(![X]:((~brave(X)|~strong(X))<=>(~brave(X)<~>kind(X))))&
((?[X]:(strong(X)))<=>(?[X]:(humble(X))))&
((?[X]:(~old(X)))=>(?[X]:((quiet(X)&~strong(X)))))&
(![X]:((~curious(X)|~calm(X))=>(~funny(X)&~calm(X))))&
(((~fu... | funny(susan) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1161581359857205697296434
% SZS output start Proof for 1161581359857205697296434
6. ! [X0] : ((~calm(X0) | ~curious(X0)) => (~calm(X0) & ~funny(X0))) [input p5]
11. ! [X0] : (calm(X0) <=> ~curious(X0)) [input p10]
24. funny(susan) [input hypothesis]
34. ! [X0] : ((~calm(X0) & ~funny(X0)) ... | 0 |
Everyone who is either strong or not generous is generous and vice versa.
If susan is not calm then someone is either not strong or not wise and vice versa.
Everyone who is either not wise or quiet is either not wise or curious.
Everyone who is either curious or not curious is either not tall or old and vice versa.
If ... | Fred is creative. | neutral | (![X]:((strong(X)<~>~generous(X))<=>generous(X)))&
((~calm(susan))<=>(?[X]:((~strong(X)<~>~wise(X)))))&
(![X]:((~wise(X)<~>quiet(X))=>(~wise(X)<~>curious(X))))&
(![X]:((curious(X)<~>~curious(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((rich(X)&~old(X))))<=>(?[X]:(strong(X))))&
((happy(mary))<=>((calm(alice)&~calm(alice))))&
(... | creative(fred) | [] | null | 0 |
If someone is both brave and strong then someone is old.
If someone is either patient or not generous then fred is strong or generous.
Everyone who is either not rich or happy is not old or not strong.
Everyone who is old is funny.
If paul is tall or not brave then someone is not creative and vice versa.
If someone is ... | Susan is wise. | contradiction | ((?[X]:((brave(X)&strong(X))))=>(?[X]:(old(X))))&
((?[X]:((patient(X)<~>~generous(X))))=>((strong(fred)|generous(fred))))&
(![X]:((~rich(X)<~>happy(X))=>(~old(X)|~strong(X))))&
(![X]:(old(X)=>funny(X)))&
(((tall(paul)|~brave(paul)))<=>(?[X]:(~creative(X))))&
((?[X]:(funny(X)))=>(?[X]:((generous(X)&~funny(X)))))&
(![X]:... | wise(susan) | [
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2710107957401280824854770
% SZS output start Proof for 2710107957401280824854770
9. ! [X0] : ((wise(X0) | ~curious(X0)) <=> (kind(X0) & curious(X0))) [input p8]
18. ~kind(susan) & funny(susan) [input p17]
25. wise(susan) [input hypothesis]
56. ! [X0] : (((wise(X0) | ~curious(X0)) | (~kind... | 0 |
If someone is either calm or happy then someone is either not wise or happy and vice versa. Everyone who is happy is both not brave and tall and vice versa. If alice is not humble or not happy then paul is either tall or not brave. If someone is either brave or humble then someone is not patient or old and vice versa. ... | John is curious. | neutral | ((?[X]:((calm(X)<~>happy(X))))<=>(?[X]:((~wise(X)<~>happy(X)))))&
(![X]:(happy(X)<=>(~brave(X)&tall(X))))&
(((~humble(alice)|~happy(alice)))=>((tall(paul)<~>~brave(paul))))&
((?[X]:((brave(X)<~>humble(X))))<=>(?[X]:((~patient(X)|old(X)))))&
(((patient(john)|humble(john)))<=>(brave(susan)))&
((?[X]:((brave(X)|~brave(X))... | curious(john) | [] | null | 0 |
If paul is both quiet and old then someone is both rich and happy and vice versa.
If someone is curious then fred is either strong or wise.
Everyone who is both not curious and not happy is humble or funny and vice versa.
If someone is either generous or tall then john is not patient or not brave and vice versa.
Everyo... | John is not patient. | neutral | (((quiet(paul)&old(paul)))<=>(?[X]:((rich(X)&happy(X)))))&
((?[X]:(curious(X)))=>((strong(fred)<~>wise(fred))))&
(![X]:((~curious(X)&~happy(X))<=>(humble(X)|funny(X))))&
((?[X]:((generous(X)<~>tall(X))))<=>((~patient(john)|~brave(john))))&
(![X]:((humble(X)&wise(X))=>(tall(X)<~>humble(X))))&
(((creative(mary)|rich(mary... | ~patient(john) | [] | null | 0 |
Everyone who is either not strong or not happy is either funny or not rich and vice versa. Everyone who is generous is curious or not creative and vice versa. Everyone who is either humble or old is both not humble and not patient and vice versa. If susan is quiet or not strong then someone is not kind or not old. Ever... | Lucy is not tall. | neutral | (![X]:((~strong(X)<~>~happy(X))<=>(funny(X)<~>~rich(X))))&
(![X]:(generous(X)<=>(curious(X)|~creative(X))))&
(![X]:((humble(X)<~>old(X))<=>(~humble(X)&~patient(X))))&
(((quiet(susan)|~strong(susan)))=>(?[X]:((~kind(X)|~old(X)))))&
(![X]:(~kind(X)<=>(rich(X)|~calm(X))))&
(((~happy(paul)&quiet(paul)))=>(?[X]:(happy(X))))... | ~tall(lucy) | [] | null | 0 |
If fred is both not tall and not patient then someone is either wise or not wise and vice versa.
If paul is both strong and rich then someone is both curious and not kind and vice versa.
If lucy is both curious and not funny then susan is either not generous or happy.
Everyone who is not tall or kind is both not calm a... | Fred is not curious. | contradiction | (((~tall(fred)&~patient(fred)))<=>(?[X]:((wise(X)<~>~wise(X)))))&
(((strong(paul)&rich(paul)))<=>(?[X]:((curious(X)&~kind(X)))))&
(((curious(lucy)&~funny(lucy)))=>((~generous(susan)<~>happy(susan))))&
(![X]:((~tall(X)|kind(X))=>(~calm(X)&quiet(X))))&
((?[X]:((old(X)&creative(X))))<=>(?[X]:((~calm(X)&strong(X)))))&
(![X... | ~curious(fred) | [
"p3",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2718393269673299496240502
% SZS output start Proof for 2718393269673299496240502
4. ! [X0] : ((kind(X0) | ~tall(X0)) => (quiet(X0) & ~calm(X0))) [input p3]
6. ! [X0] : (tall(X0) => ~quiet(X0)) [input p5]
13. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> rich(X0)) [input p12]
16. ! [X0] : ((~quie... | 0 |
Everyone who is not creative or strong is brave and vice versa.
Everyone who is not creative or funny is either not rich or happy and vice versa.
If john is not calm then alice is funny and vice versa.
Everyone who is either not creative or creative is either generous or not calm and vice versa.
If someone is not quiet... | Paul is not generous. | neutral | (![X]:((~creative(X)|strong(X))<=>brave(X)))&
(![X]:((~creative(X)|funny(X))<=>(~rich(X)<~>happy(X))))&
((~calm(john))<=>(funny(alice)))&
(![X]:((~creative(X)<~>creative(X))<=>(generous(X)<~>~calm(X))))&
((?[X]:((~quiet(X)|brave(X))))=>((generous(mary)&strong(mary))))&
(![X]:((~kind(X)|patient(X))=>(~strong(X)<~>~gener... | ~generous(paul) | [] | null | 0 |
Everyone who is wise or not rich is not quiet and vice versa.
If susan is happy or not generous then someone is either calm or generous.
Everyone who is either kind or not calm is funny or old and vice versa.
Everyone who is strong or not quiet is both calm and quiet.
Everyone who is not tall is brave.
Everyone who is ... | Susan is strong. | contradiction | (![X]:((wise(X)|~rich(X))<=>~quiet(X)))&
(((happy(susan)|~generous(susan)))=>(?[X]:((calm(X)<~>generous(X)))))&
(![X]:((kind(X)<~>~calm(X))<=>(funny(X)|old(X))))&
(![X]:((strong(X)|~quiet(X))=>(calm(X)&quiet(X))))&
(![X]:(~tall(X)=>brave(X)))&
(![X]:((strong(X)<~>~creative(X))=>(~patient(X)|~old(X))))&
((?[X]:((funny(X... | strong(susan) | [
"p2",
"p3",
"p4",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5364094261695661387411551
% SZS output start Proof for 5364094261695661387411551
3. ! [X0] : ((kind(X0) <~> ~calm(X0)) <=> (old(X0) | funny(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) | strong(X0)) => (quiet(X0) & calm(X0))) [input p3]
5. ! [X0] : (~tall(X0) => brave(X0)) [input p4]
10. ! [... | 0 |
If someone is both rich and not curious then someone is either not old or not wise and vice versa. Everyone who is not creative or not calm is both brave and humble. If susan is both not calm and not happy then someone is either wise or strong. Everyone who is both not rich and creative is not rich or wise and vice ver... | Susan is not funny. | neutral | ((?[X]:((rich(X)&~curious(X))))<=>(?[X]:((~old(X)<~>~wise(X)))))&
(![X]:((~creative(X)|~calm(X))=>(brave(X)&humble(X))))&
(((~calm(susan)&~happy(susan)))=>(?[X]:((wise(X)<~>strong(X)))))&
(![X]:((~rich(X)&creative(X))<=>(~rich(X)|wise(X))))&
((?[X]:((tall(X)<~>old(X))))<=>(?[X]:((generous(X)|~generous(X)))))&
(![X]:((~... | ~funny(susan) | [] | null | 0 |
Everyone who is wise or not happy is both happy and brave.
Everyone who is quiet or not wise is funny.
If someone is either patient or wise then mary is either not quiet or not old and vice versa.
Everyone who is either not calm or not tall is not creative.
If john is rich then someone is not creative or creative.
If f... | Mary is not quiet. | contradiction | (![X]:((wise(X)|~happy(X))=>(happy(X)&brave(X))))&
(![X]:((quiet(X)|~wise(X))=>funny(X)))&
((?[X]:((patient(X)<~>wise(X))))<=>((~quiet(mary)<~>~old(mary))))&
(![X]:((~calm(X)<~>~tall(X))=>~creative(X)))&
((rich(john))=>(?[X]:((~creative(X)|creative(X)))))&
(((humble(fred)&~brave(fred)))<=>(?[X]:((~strong(X)<~>~wise(X))... | ~quiet(mary) | [
"p0",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 242356107142275458955019
% SZS output start Proof for 242356107142275458955019
1. ! [X0] : ((~happy(X0) | wise(X0)) => (brave(X0) & happy(X0))) [input p0]
12. ! [X0] : ((~tall(X0) & ~humble(X0)) <=> (~happy(X0) <~> ~quiet(X0))) [input p11]
24. humble(mary) [input p23]
25. ~quiet(mary) [in... | 0 |
If paul is both strong and quiet then susan is not kind or not generous and vice versa. If someone is not old or quiet then someone is both old and not calm and vice versa. If lucy is not rich or funny then lucy is not calm and vice versa. If someone is tall or brave then someone is old and vice versa. If paul is eithe... | Susan is tall. | entailment | (((strong(paul)&quiet(paul)))<=>((~kind(susan)|~generous(susan))))&
((?[X]:((~old(X)|quiet(X))))<=>(?[X]:((old(X)&~calm(X)))))&
(((~rich(lucy)|funny(lucy)))<=>(~calm(lucy)))&
((?[X]:((tall(X)|brave(X))))<=>(?[X]:(old(X))))&
(((~old(paul)<~>patient(paul)))=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:((~patient(X)&generous... | tall(susan) | [
"p0",
"p1",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6467549350408559546584586
% SZS output start Proof for 6467549350408559546584586
1. (quiet(paul) & strong(paul)) <=> (~generous(susan) | ~kind(susan)) [input p0]
2. ? [X0] : (quiet(X0) | ~old(X0)) <=> ? [X0] : (~calm(X0) & old(X0)) [input p1]
7. ? [X0] : (~wise(X0) | ~calm(X0)) <=> ? [X0]... | 0 |
If someone is both humble and not curious then john is curious.
Everyone who is either tall or not strong is brave or not patient and vice versa.
If paul is generous then someone is both not old and rich.
If someone is kind or not rich then someone is quiet or not curious.
Everyone who is quiet is not creative and vice... | Paul is not generous. | neutral | ((?[X]:((humble(X)&~curious(X))))=>(curious(john)))&
(![X]:((tall(X)<~>~strong(X))<=>(brave(X)|~patient(X))))&
((generous(paul))=>(?[X]:((~old(X)&rich(X)))))&
((?[X]:((kind(X)|~rich(X))))=>(?[X]:((quiet(X)|~curious(X)))))&
(![X]:(quiet(X)<=>~creative(X)))&
((?[X]:((~brave(X)<~>~curious(X))))=>(?[X]:(curious(X))))&
(((q... | ~generous(paul) | [] | null | 0 |
Everyone who is tall is not funny or not humble.
If someone is old or curious then mary is both not strong and not calm.
Everyone who is either happy or not happy is either old or not generous.
Everyone who is patient or not tall is patient and vice versa.
Everyone who is either rich or not strong is both old and stron... | Lucy is old. | contradiction | (![X]:(tall(X)=>(~funny(X)|~humble(X))))&
((?[X]:((old(X)|curious(X))))=>((~strong(mary)&~calm(mary))))&
(![X]:((happy(X)<~>~happy(X))=>(old(X)<~>~generous(X))))&
(![X]:((patient(X)|~tall(X))<=>patient(X)))&
(![X]:((rich(X)<~>~strong(X))=>(old(X)&strong(X))))&
((?[X]:((~old(X)<~>~tall(X))))<=>((~calm(fred)&~wise(fred))... | old(lucy) | [
"p1",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1183928217062012822631589
% SZS output start Proof for 1183928217062012822631589
2. ? [X0] : (curious(X0) | old(X0)) => (~calm(mary) & ~strong(mary)) [input p1]
19. strong(mary) & ~creative(mary) [input p18]
25. old(lucy) [input hypothesis]
31. (~calm(mary) & ~strong(mary)) | ! [X0] : (~c... | 0 |
Everyone who is both not humble and not creative is humble and vice versa.
If john is not strong or not quiet then someone is both strong and rich.
If someone is both not tall and kind then paul is either generous or curious and vice versa.
Everyone who is either not patient or not curious is either old or not funny an... | Paul is not quiet. | neutral | (![X]:((~humble(X)&~creative(X))<=>humble(X)))&
(((~strong(john)|~quiet(john)))=>(?[X]:((strong(X)&rich(X)))))&
((?[X]:((~tall(X)&kind(X))))<=>((generous(paul)<~>curious(paul))))&
(![X]:((~patient(X)<~>~curious(X))<=>(old(X)<~>~funny(X))))&
((?[X]:((~calm(X)<~>~tall(X))))=>(?[X]:((~tall(X)&brave(X)))))&
(![X]:((humble(... | ~quiet(paul) | [] | null | 0 |
If mary is not calm or not tall then mary is both calm and not curious.
Everyone who is either not rich or strong is both generous and quiet and vice versa.
If paul is not happy then someone is not generous.
If fred is happy or not strong then someone is not funny and vice versa.
If someone is both not curious and not ... | Fred is not patient. | neutral | (((~calm(mary)|~tall(mary)))=>((calm(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>strong(X))<=>(generous(X)&quiet(X))))&
((~happy(paul))=>(?[X]:(~generous(X))))&
(((happy(fred)|~strong(fred)))<=>(?[X]:(~funny(X))))&
((?[X]:((~curious(X)&~creative(X))))=>(?[X]:((quiet(X)<~>rich(X)))))&
(((brave(paul)&~kind(paul)))<=>(?[X... | ~patient(fred) | [] | null | 0 |
If lucy is not patient or humble then paul is not generous and vice versa.
Everyone who is both happy and not funny is both wise and not brave.
Everyone who is not old is either kind or happy and vice versa.
If susan is not brave or not curious then lucy is happy or not old.
If someone is rich then someone is both gene... | Alice is not generous. | entailment | (((~patient(lucy)|humble(lucy)))<=>(~generous(paul)))&
(![X]:((happy(X)&~funny(X))=>(wise(X)&~brave(X))))&
(![X]:(~old(X)<=>(kind(X)<~>happy(X))))&
(((~brave(susan)|~curious(susan)))=>((happy(lucy)|~old(lucy))))&
((?[X]:(rich(X)))=>(?[X]:((generous(X)&~happy(X)))))&
(((~wise(mary)<~>~rich(mary)))=>((~creative(fred)|cur... | ~generous(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1264738911426421767645639
% SZS output start Proof for 1264738911426421767645639
11. ! [X0] : (brave(X0) <=> (generous(X0) & ~brave(X0))) [input p10]
22. generous(alice) [input hypothesis]
59. ! [X0] : ((brave(X0) | (~generous(X0) | brave(X0))) & ((generous(X0) & ~brave(X0)) | ~brave(X0))... | 0 |
Everyone who is not strong is either not tall or wise.
Everyone who is both not patient and humble is either brave or kind and vice versa.
If paul is not old or wise then someone is not creative and vice versa.
If fred is not happy or not wise then someone is both kind and not quiet.
Everyone who is either wise or old ... | Lucy is old. | neutral | (![X]:(~strong(X)=>(~tall(X)<~>wise(X))))&
(![X]:((~patient(X)&humble(X))<=>(brave(X)<~>kind(X))))&
(((~old(paul)|wise(paul)))<=>(?[X]:(~creative(X))))&
(((~happy(fred)|~wise(fred)))=>(?[X]:((kind(X)&~quiet(X)))))&
(![X]:((wise(X)<~>old(X))<=>~old(X)))&
(![X]:((~generous(X)<~>happy(X))=>strong(X)))&
(![X]:((~patient(X)... | old(lucy) | [] | null | 0 |
If someone is either brave or not wise then someone is creative and vice versa.
If someone is both creative and not quiet then lucy is either not generous or quiet.
Everyone who is both not rich and curious is not funny or rich and vice versa.
If someone is both old and not brave then alice is strong.
Everyone who is w... | Lucy is not brave. | contradiction | ((?[X]:((brave(X)<~>~wise(X))))<=>(?[X]:(creative(X))))&
((?[X]:((creative(X)&~quiet(X))))=>((~generous(lucy)<~>quiet(lucy))))&
(![X]:((~rich(X)&curious(X))<=>(~funny(X)|rich(X))))&
((?[X]:((old(X)&~brave(X))))=>(strong(alice)))&
(![X]:((wise(X)|~funny(X))=>(~curious(X)&curious(X))))&
(((~strong(susan)|funny(susan)))=>... | ~brave(lucy) | [
"p0",
"p2",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3977744976918523257335389
% SZS output start Proof for 3977744976918523257335389
1. ? [X0] : (brave(X0) <~> ~wise(X0)) <=> ? [X0] : creative(X0) [input p0]
3. ! [X0] : ((curious(X0) & ~rich(X0)) <=> (rich(X0) | ~funny(X0))) [input p2]
5. ! [X0] : ((~funny(X0) | wise(X0)) => (curious(X0) &... | 0 |
If mary is both not rich and not calm then john is both rich and not curious.
Everyone who is strong is not strong or quiet.
Everyone who is either not happy or creative is old or generous.
Everyone who is quiet or rich is either patient or not kind.
Everyone who is either generous or not rich is not calm or not brave.... | Mary is rich. | contradiction | (((~rich(mary)&~calm(mary)))=>((rich(john)&~curious(john))))&
(![X]:(strong(X)=>(~strong(X)|quiet(X))))&
(![X]:((~happy(X)<~>creative(X))=>(old(X)|generous(X))))&
(![X]:((quiet(X)|rich(X))=>(patient(X)<~>~kind(X))))&
(![X]:((generous(X)<~>~rich(X))=>(~calm(X)|~brave(X))))&
((?[X]:((creative(X)<~>calm(X))))<=>(?[X]:((wi... | rich(mary) | [
"p3",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3955081512822311494983662
% SZS output start Proof for 3955081512822311494983662
4. ! [X0] : ((rich(X0) | quiet(X0)) => (patient(X0) <~> ~kind(X0))) [input p3]
13. ! [X0] : (kind(X0) => (~creative(X0) & ~patient(X0))) [input p12]
14. ! [X0] : (calm(X0) => (~rich(X0) & ~humble(X0))) [input... | 0 |
Everyone who is either happy or not funny is either not quiet or not strong and vice versa.
Everyone who is not rich or strong is not creative or calm.
Everyone who is rich is either kind or old.
If paul is kind or not curious then someone is happy or tall and vice versa.
If john is both not curious and curious then so... | Mary is not brave. | contradiction | (![X]:((happy(X)<~>~funny(X))<=>(~quiet(X)<~>~strong(X))))&
(![X]:((~rich(X)|strong(X))=>(~creative(X)|calm(X))))&
(![X]:(rich(X)=>(kind(X)<~>old(X))))&
(((kind(paul)|~curious(paul)))<=>(?[X]:((happy(X)|tall(X)))))&
(((~curious(john)&curious(john)))<=>(?[X]:((wise(X)&~patient(X)))))&
(![X]:((humble(X)|~happy(X))=>(pati... | ~brave(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7397318814152064309822061
% SZS output start Proof for 7397318814152064309822061
11. ! [X0] : ((kind(X0) | ~kind(X0)) <=> (~creative(X0) & brave(X0))) [input p10]
25. ~brave(mary) [input hypothesis]
66. ! [X0] : (((kind(X0) | ~kind(X0)) | (creative(X0) | ~brave(X0))) & ((~creative(X0) & b... | 0 |
Everyone who is not kind is either not kind or generous and vice versa.
If someone is either not generous or not tall then susan is curious and vice versa.
Everyone who is old or not happy is both not creative and not wise.
If someone is not kind then someone is not old or quiet.
Everyone who is not tall is both not ha... | Susan is not generous. | entailment | (![X]:(~kind(X)<=>(~kind(X)<~>generous(X))))&
((?[X]:((~generous(X)<~>~tall(X))))<=>(curious(susan)))&
(![X]:((old(X)|~happy(X))=>(~creative(X)&~wise(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~old(X)|quiet(X)))))&
(![X]:(~tall(X)=>(~happy(X)&patient(X))))&
((?[X]:(tall(X)))=>(quiet(lucy)))&
(![X]:((~generous(X)|quiet(X))<=>(~... | ~generous(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 711810395703751258662642
% SZS output start Proof for 711810395703751258662642
1. ! [X0] : (~kind(X0) <=> (~kind(X0) <~> generous(X0))) [input p0]
24. generous(susan) [input hypothesis]
43. ! [X0] : ((~kind(X0) | ((~kind(X0) | ~generous(X0)) & (generous(X0) | kind(X0)))) & (((~generous(X0... | 0 |
If someone is not calm or quiet then paul is humble or creative and vice versa.
If someone is not brave or humble then someone is either not creative or not quiet.
Everyone who is not happy is not tall and vice versa.
If lucy is either not funny or rich then john is either patient or not tall and vice versa.
Everyone w... | Lucy is not calm. | contradiction | ((?[X]:((~calm(X)|quiet(X))))<=>((humble(paul)|creative(paul))))&
((?[X]:((~brave(X)|humble(X))))=>(?[X]:((~creative(X)<~>~quiet(X)))))&
(![X]:(~happy(X)<=>~tall(X)))&
(((~funny(lucy)<~>rich(lucy)))<=>((patient(john)<~>~tall(john))))&
(![X]:((~curious(X)|~kind(X))=>(tall(X)<~>quiet(X))))&
(((old(alice)|~strong(alice)))... | ~calm(lucy) | [
"p0",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1552930841378676885826277
% SZS output start Proof for 1552930841378676885826277
1. ? [X0] : (quiet(X0) | ~calm(X0)) <=> (creative(paul) | humble(paul)) [input p0]
13. ~humble(paul) <=> (old(lucy) | ~old(lucy)) [input p12]
17. ~rich(paul) & ~creative(paul) [input p16]
25. ~calm(lucy) [inp... | 0 |
If someone is not brave then someone is not creative. If someone is not happy then someone is not creative or not curious and vice versa. Everyone who is not generous or calm is kind. If lucy is either wise or creative then susan is brave and vice versa. Everyone who is both strong and curious is both not humble and no... | Fred is kind. | entailment | ((?[X]:(~brave(X)))=>(?[X]:(~creative(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~creative(X)|~curious(X)))))&
(![X]:((~generous(X)|calm(X))=>kind(X)))&
(((wise(lucy)<~>creative(lucy)))<=>(brave(susan)))&
(![X]:((strong(X)&curious(X))<=>(~humble(X)&~wise(X))))&
(![X]:((kind(X)<~>~wise(X))<=>(curious(X)|~old(X))))&
((?[X]:(~s... | kind(fred) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4156718254493237022717744
% SZS output start Proof for 4156718254493237022717744
3. ! [X0] : ((calm(X0) | ~generous(X0)) => kind(X0)) [input p2]
5. ! [X0] : ((curious(X0) & strong(X0)) <=> (~wise(X0) & ~humble(X0))) [input p4]
6. ! [X0] : ((kind(X0) <~> ~wise(X0)) <=> (~old(X0) | curious(... | 0 |
If john is humble then paul is either not creative or brave and vice versa.
Everyone who is not creative is not curious and vice versa.
If alice is humble or not quiet then someone is kind.
Everyone who is patient or strong is either rich or funny.
Everyone who is both happy and not happy is not generous or tall.
Every... | Paul is not calm. | entailment | ((humble(john))<=>((~creative(paul)<~>brave(paul))))&
(![X]:(~creative(X)<=>~curious(X)))&
(((humble(alice)|~quiet(alice)))=>(?[X]:(kind(X))))&
(![X]:((patient(X)|strong(X))=>(rich(X)<~>funny(X))))&
(![X]:((happy(X)&~happy(X))=>(~generous(X)|tall(X))))&
(![X]:((~patient(X)|patient(X))=>(~rich(X)&~kind(X))))&
(((old(fre... | ~calm(paul) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2843432227567055914367975
% SZS output start Proof for 2843432227567055914367975
6. ! [X0] : ((patient(X0) | ~patient(X0)) => (~kind(X0) & ~rich(X0))) [input p5]
12. ! [X0] : (~calm(X0) <=> (~tall(X0) | ~kind(X0))) [input p11]
22. calm(paul) [input hypothesis]
28. ! [X0] : ((~kind(X0) & ~... | 0 |
If alice is curious or funny then lucy is either not tall or not strong and vice versa. If mary is not calm or quiet then someone is not humble and vice versa. Everyone who is not quiet is not rich. Everyone who is either quiet or not calm is both not strong and not quiet and vice versa. Everyone who is wise or calm is... | Fred is not calm. | entailment | (((curious(alice)|funny(alice)))<=>((~tall(lucy)<~>~strong(lucy))))&
(((~calm(mary)|quiet(mary)))<=>(?[X]:(~humble(X))))&
(![X]:(~quiet(X)=>~rich(X)))&
(![X]:((quiet(X)<~>~calm(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((wise(X)|calm(X))<=>~funny(X)))&
((?[X]:((humble(X)&~patient(X))))<=>((quiet(john)&creative(john))))&
((... | ~calm(fred) | [
"p2",
"p3",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6296647610793334147522900
% SZS output start Proof for 6296647610793334147522900
3. ! [X0] : (~quiet(X0) => ~rich(X0)) [input p2]
4. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (~quiet(X0) & ~strong(X0))) [input p3]
13. ! [X0] : ((happy(X0) <~> ~humble(X0)) <=> ~happy(X0)) [input p12]
14. ! [... | 0 |
If mary is not kind or not strong then someone is wise or not humble.
If someone is both strong and not wise then someone is either not wise or old.
Everyone who is curious is either not patient or kind.
Everyone who is either happy or not generous is either not creative or wise.
If someone is brave then someone is cal... | Lucy is not kind. | neutral | (((~kind(mary)|~strong(mary)))=>(?[X]:((wise(X)|~humble(X)))))&
((?[X]:((strong(X)&~wise(X))))=>(?[X]:((~wise(X)<~>old(X)))))&
(![X]:(curious(X)=>(~patient(X)<~>kind(X))))&
(![X]:((happy(X)<~>~generous(X))=>(~creative(X)<~>wise(X))))&
((?[X]:(brave(X)))<=>(?[X]:((calm(X)|generous(X)))))&
(![X]:((~tall(X)<~>funny(X))=>(... | ~kind(lucy) | [] | null | 0 |
Everyone who is not creative or not wise is both curious and quiet and vice versa.
Everyone who is both not brave and not generous is not rich or wise.
Everyone who is both patient and brave is not creative or not quiet.
If someone is either not wise or humble then alice is not creative and vice versa.
If someone is cu... | Alice is not curious. | contradiction | (![X]:((~creative(X)|~wise(X))<=>(curious(X)&quiet(X))))&
(![X]:((~brave(X)&~generous(X))=>(~rich(X)|wise(X))))&
(![X]:((patient(X)&brave(X))=>(~creative(X)|~quiet(X))))&
((?[X]:((~wise(X)<~>humble(X))))<=>(~creative(alice)))&
((?[X]:(curious(X)))=>((creative(mary)&~tall(mary))))&
(![X]:(quiet(X)=>(happy(X)&curious(X))... | ~curious(alice) | [
"p0",
"p3",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6749535440912875061337987
% SZS output start Proof for 6749535440912875061337987
1. ! [X0] : ((~wise(X0) | ~creative(X0)) <=> (quiet(X0) & curious(X0))) [input p0]
4. ? [X0] : (~wise(X0) <~> humble(X0)) <=> ~creative(alice) [input p3]
6. ! [X0] : (quiet(X0) => (curious(X0) & happy(X0))) [... | 0 |
Everyone who is patient or not calm is both strong and not quiet. Everyone who is both not old and not happy is both not strong and generous and vice versa. Everyone who is old is not old. Everyone who is both quiet and brave is either rich or creative. Everyone who is either kind or funny is both kind and not strong. ... | John is tall. | entailment | (![X]:((patient(X)|~calm(X))=>(strong(X)&~quiet(X))))&
(![X]:((~old(X)&~happy(X))<=>(~strong(X)&generous(X))))&
(![X]:(old(X)=>~old(X)))&
(![X]:((quiet(X)&brave(X))=>(rich(X)<~>creative(X))))&
(![X]:((kind(X)<~>funny(X))=>(kind(X)&~strong(X))))&
((strong(john))=>(tall(mary)))&
(![X]:((~calm(X)<~>strong(X))=>(funny(X)<~... | tall(john) | [
"p4",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5396793304193384116699704
% SZS output start Proof for 5396793304193384116699704
5. ! [X0] : ((kind(X0) <~> funny(X0)) => (~strong(X0) & kind(X0))) [input p4]
8. ! [X0] : (~tall(X0) => (humble(X0) & funny(X0))) [input p7]
9. ! [X0] : ((~strong(X0) & happy(X0)) <=> (curious(X0) & strong(X0... | 0 |
If someone is not rich or not old then paul is either not funny or curious and vice versa. Everyone who is curious or not tall is either humble or wise. Everyone who is both not patient and not quiet is not quiet. Everyone who is both not creative and kind is both rich and not old. Everyone who is either not patient or... | Paul is generous. | entailment | ((?[X]:((~rich(X)|~old(X))))<=>((~funny(paul)<~>curious(paul))))&
(![X]:((curious(X)|~tall(X))=>(humble(X)<~>wise(X))))&
(![X]:((~patient(X)&~quiet(X))=>~quiet(X)))&
(![X]:((~creative(X)&kind(X))=>(rich(X)&~old(X))))&
(![X]:((~patient(X)<~>quiet(X))<=>(brave(X)&curious(X))))&
(![X]:(curious(X)=>(~brave(X)|~generous(X))... | generous(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8802347868827507521534076
% SZS output start Proof for 8802347868827507521534076
23. generous(paul) & creative(paul) [input p22]
25. ~generous(paul) [input hypothesis]
141. generous(paul) [cnf transformation 23]
143. ~generous(paul) [cnf transformation 25]
240. $false [subsumption resolut... | 0 |
If paul is humble then alice is not tall or creative.
Everyone who is either not generous or not strong is both generous and quiet and vice versa.
Everyone who is quiet is not kind and vice versa.
If someone is both not creative and happy then someone is either creative or not quiet.
Everyone who is not creative is bot... | Paul is not creative. | contradiction | ((humble(paul))=>((~tall(alice)|creative(alice))))&
(![X]:((~generous(X)<~>~strong(X))<=>(generous(X)&quiet(X))))&
(![X]:(quiet(X)<=>~kind(X)))&
((?[X]:((~creative(X)&happy(X))))=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:(~creative(X)=>(strong(X)&~happy(X))))&
(![X]:((happy(X)&~brave(X))<=>~funny(X)))&
((?[X]:((~funn... | ~creative(paul) | [
"p2",
"p4",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8822974989476731881634349
% SZS output start Proof for 8822974989476731881634349
3. ! [X0] : (quiet(X0) <=> ~kind(X0)) [input p2]
5. ! [X0] : (~creative(X0) => (~happy(X0) & strong(X0))) [input p4]
6. ! [X0] : ((~brave(X0) & happy(X0)) <=> ~funny(X0)) [input p5]
13. ! [X0] : ((~wise(X0) |... | 0 |
Everyone who is either strong or not wise is happy and vice versa. Everyone who is curious is calm. Everyone who is either curious or not brave is strong and vice versa. Everyone who is either not wise or not kind is both quiet and brave and vice versa. Everyone who is both curious and not creative is not funny or calm... | Paul is kind. | neutral | (![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious(X)&~creative(X))<=>(~funny(X)|calm(X))))&
((rich(fred))=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:((~brave(X)|quiet(X))<=>quiet(X)))... | kind(paul) | [] | null | 0 |
If fred is old or patient then john is either creative or not creative. Everyone who is not old or creative is both not rich and not humble. Everyone who is old or not rich is both not curious and not wise and vice versa. Everyone who is rich is both rich and not happy. If john is either not patient or not kind then lu... | Paul is kind. | contradiction | (((old(fred)|patient(fred)))=>((creative(john)<~>~creative(john))))&
(![X]:((~old(X)|creative(X))=>(~rich(X)&~humble(X))))&
(![X]:((old(X)|~rich(X))<=>(~curious(X)&~wise(X))))&
(![X]:(rich(X)=>(rich(X)&~happy(X))))&
(((~patient(john)<~>~kind(john)))<=>((~strong(lucy)&~happy(lucy))))&
(((~generous(susan)&generous(susan)... | kind(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1963526079285772406758902
% SZS output start Proof for 1963526079285772406758902
11. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (kind(X0) | wise(X0))) [input p10]
23. kind(paul) [input hypothesis]
46. ! [X0] : (((~creative(X0) & ~kind(X0)) | (~kind(X0) & ~wise(X0))) & ((kind(X0) | wise(X0)... | 0 |
Everyone who is either creative or strong is either quiet or rich.
If paul is not kind then alice is both tall and not creative.
Everyone who is either not curious or not rich is either not kind or quiet and vice versa.
If alice is both patient and not kind then fred is both calm and patient and vice versa.
Everyone wh... | John is creative. | neutral | (![X]:((creative(X)<~>strong(X))=>(quiet(X)<~>rich(X))))&
((~kind(paul))=>((tall(alice)&~creative(alice))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~kind(X)<~>quiet(X))))&
(((patient(alice)&~kind(alice)))<=>((calm(fred)&patient(fred))))&
(![X]:(~happy(X)=>(~creative(X)|generous(X))))&
(![X]:((tall(X)<~>~generous(X))<=>~ric... | creative(john) | [] | null | 0 |
Everyone who is not humble or brave is both not curious and not calm and vice versa.
Everyone who is both not generous and not patient is both not strong and strong and vice versa.
Everyone who is both not generous and not strong is not kind.
Everyone who is either tall or quiet is both patient and brave.
If someone is... | John is not humble. | contradiction | (![X]:((~humble(X)|brave(X))<=>(~curious(X)&~calm(X))))&
(![X]:((~generous(X)&~patient(X))<=>(~strong(X)&strong(X))))&
(![X]:((~generous(X)&~strong(X))=>~kind(X)))&
(![X]:((tall(X)<~>quiet(X))=>(patient(X)&brave(X))))&
((?[X]:(wise(X)))=>((~kind(john)|calm(john))))&
(![X]:((humble(X)|~creative(X))<=>(calm(X)&~funny(X))... | ~humble(john) | [
"p0",
"p5",
"p6",
"p7",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2561639500522999322947600
% SZS output start Proof for 2561639500522999322947600
1. ! [X0] : ((brave(X0) | ~humble(X0)) <=> (~calm(X0) & ~curious(X0))) [input p0]
6. ! [X0] : ((~creative(X0) | humble(X0)) <=> (~funny(X0) & calm(X0))) [input p5]
7. ! [X0] : (curious(X0) <=> (old(X0) | ~bra... | 0 |
If someone is both not rich and not generous then lucy is not funny or humble and vice versa.
If alice is old or not curious then someone is kind and vice versa.
If someone is both strong and rich then paul is either curious or not brave.
Everyone who is kind is either curious or not funny and vice versa.
Everyone who ... | Paul is not brave. | neutral | ((?[X]:((~rich(X)&~generous(X))))<=>((~funny(lucy)|humble(lucy))))&
(((old(alice)|~curious(alice)))<=>(?[X]:(kind(X))))&
((?[X]:((strong(X)&rich(X))))=>((curious(paul)<~>~brave(paul))))&
(![X]:(kind(X)<=>(curious(X)<~>~funny(X))))&
(![X]:((brave(X)&patient(X))<=>(rich(X)|~quiet(X))))&
(![X]:((~old(X)<~>~tall(X))=>(curi... | ~brave(paul) | [] | null | 0 |
If someone is both rich and funny then someone is not funny.
Everyone who is not kind is either rich or humble and vice versa.
Everyone who is kind is not wise or not tall and vice versa.
Everyone who is humble is not rich or old.
If john is not rich then someone is either not old or patient and vice versa.
If mary is ... | Alice is not funny. | neutral | ((?[X]:((rich(X)&funny(X))))=>(?[X]:(~funny(X))))&
(![X]:(~kind(X)<=>(rich(X)<~>humble(X))))&
(![X]:(kind(X)<=>(~wise(X)|~tall(X))))&
(![X]:(humble(X)=>(~rich(X)|old(X))))&
((~rich(john))<=>(?[X]:((~old(X)<~>patient(X)))))&
(((~rich(mary)|curious(mary)))=>((~patient(alice)<~>~funny(alice))))&
(![X]:((funny(X)<~>strong(... | ~funny(alice) | [] | null | 0 |
Everyone who is both not curious and creative is both not happy and not humble.
If john is not patient then susan is both creative and old and vice versa.
Everyone who is not generous or calm is not happy.
If someone is humble then mary is not quiet or not generous and vice versa.
Everyone who is both not happy and not... | Susan is not strong. | contradiction | (![X]:((~curious(X)&creative(X))=>(~happy(X)&~humble(X))))&
((~patient(john))<=>((creative(susan)&old(susan))))&
(![X]:((~generous(X)|calm(X))=>~happy(X)))&
((?[X]:(humble(X)))<=>((~quiet(mary)|~generous(mary))))&
(![X]:((~happy(X)&~kind(X))<=>curious(X)))&
((?[X]:((generous(X)&~old(X))))=>(?[X]:(happy(X))))&
((kind(pa... | ~strong(susan) | [
"p2",
"p9",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2087645203618136428604032
% SZS output start Proof for 2087645203618136428604032
3. ! [X0] : ((calm(X0) | ~generous(X0)) => ~happy(X0)) [input p2]
10. ! [X0] : ((~happy(X0) <~> calm(X0)) <=> generous(X0)) [input p9]
14. ! [X0] : (strong(X0) <=> calm(X0)) [input p13]
16. ! [X0] : (patient(... | 0 |
Everyone who is not wise or not tall is both not brave and not calm and vice versa.
If someone is both not funny and not curious then someone is either not kind or not brave.
Everyone who is not humble is both generous and not brave and vice versa.
Everyone who is both calm and not tall is not old.
Everyone who is rich... | John is not rich. | entailment | (![X]:((~wise(X)|~tall(X))<=>(~brave(X)&~calm(X))))&
((?[X]:((~funny(X)&~curious(X))))=>(?[X]:((~kind(X)<~>~brave(X)))))&
(![X]:(~humble(X)<=>(generous(X)&~brave(X))))&
(![X]:((calm(X)&~tall(X))=>~old(X)))&
(![X]:(rich(X)=>~tall(X)))&
(![X]:((quiet(X)&~curious(X))<=>(~old(X)<~>tall(X))))&
(![X]:(~happy(X)=>~patient(X))... | ~rich(john) | [
"p2",
"p6",
"p8",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1448712333729205829581221
% SZS output start Proof for 1448712333729205829581221
3. ! [X0] : (~humble(X0) <=> (~brave(X0) & generous(X0))) [input p2]
7. ! [X0] : (~happy(X0) => ~patient(X0)) [input p6]
9. (~tall(john) | generous(john)) => humble(susan) [input p8]
11. ? [X0] : (happy(X0) |... | 0 |
If mary is brave then lucy is rich. If someone is either not funny or wise then someone is not brave and vice versa. Everyone who is not old is not wise or strong. Everyone who is generous is not creative or strong and vice versa. If susan is both not patient and not creative then someone is either not strong or creati... | John is not funny. | neutral | ((brave(mary))=>(rich(lucy)))&
((?[X]:((~funny(X)<~>wise(X))))<=>(?[X]:(~brave(X))))&
(![X]:(~old(X)=>(~wise(X)|strong(X))))&
(![X]:(generous(X)<=>(~creative(X)|strong(X))))&
(((~patient(susan)&~creative(susan)))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((funny(X)&rich(X))<=>(~creative(X)<~>curious(X))))&
(![X]:((... | ~funny(john) | [] | null | 0 |
Everyone who is not strong or curious is either happy or calm.
If alice is quiet then john is not rich or rich and vice versa.
If someone is either not kind or kind then susan is both humble and wise and vice versa.
Everyone who is either not quiet or not curious is both happy and not old.
If john is both quiet and str... | Mary is strong. | neutral | (![X]:((~strong(X)|curious(X))=>(happy(X)<~>calm(X))))&
((quiet(alice))<=>((~rich(john)|rich(john))))&
((?[X]:((~kind(X)<~>kind(X))))<=>((humble(susan)&wise(susan))))&
(![X]:((~quiet(X)<~>~curious(X))=>(happy(X)&~old(X))))&
(((quiet(john)&strong(john)))=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:(curious(X)<=>tall(X)))&
... | strong(mary) | [] | null | 0 |
Everyone who is either quiet or not happy is either not happy or brave. Everyone who is not kind is both quiet and not brave and vice versa. Everyone who is both strong and happy is rich or creative. If someone is both not old and not humble then lucy is creative. If someone is either not rich or not kind then someone ... | Mary is wise. | entailment | (![X]:((quiet(X)<~>~happy(X))=>(~happy(X)<~>brave(X))))&
(![X]:(~kind(X)<=>(quiet(X)&~brave(X))))&
(![X]:((strong(X)&happy(X))=>(rich(X)|creative(X))))&
((?[X]:((~old(X)&~humble(X))))=>(creative(lucy)))&
((?[X]:((~rich(X)<~>~kind(X))))<=>(?[X]:(happy(X))))&
((?[X]:((~tall(X)|~generous(X))))=>(~brave(paul)))&
(![X]:((~p... | wise(mary) | [
"p1",
"p8",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6735699608281843290673103
% SZS output start Proof for 6735699608281843290673103
2. ! [X0] : (~kind(X0) <=> (~brave(X0) & quiet(X0))) [input p1]
9. ! [X0] : (~strong(X0) <=> (tall(X0) & ~tall(X0))) [input p8]
13. ! [X0] : ((~humble(X0) & patient(X0)) <=> (curious(X0) | strong(X0))) [input... | 0 |
Everyone who is both not creative and kind is either happy or not tall.
If someone is both funny and not calm then susan is both not patient and generous.
Everyone who is quiet or not strong is not strong or not kind and vice versa.
If someone is both curious and kind then someone is both not rich and generous and vice... | Lucy is funny. | entailment | (![X]:((~creative(X)&kind(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((funny(X)&~calm(X))))=>((~patient(susan)&generous(susan))))&
(![X]:((quiet(X)|~strong(X))<=>(~strong(X)|~kind(X))))&
((?[X]:((curious(X)&kind(X))))<=>(?[X]:((~rich(X)&generous(X)))))&
(((~quiet(susan)&~generous(susan)))=>(?[X]:(funny(X))))&
(![X]:(brave(X)... | funny(lucy) | [
"p5",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1586194466498256717202107
% SZS output start Proof for 1586194466498256717202107
6. ! [X0] : (brave(X0) <=> ~funny(X0)) [input p5]
9. ! [X0] : ((~old(X0) | brave(X0)) => (~quiet(X0) <~> strong(X0))) [input p8]
11. ! [X0] : (strong(X0) <=> (strong(X0) & ~strong(X0))) [input p10]
12. ! [X0]... | 0 |
Everyone who is quiet or strong is both brave and not wise and vice versa.
If susan is tall or generous then someone is humble or not generous.
Everyone who is both not creative and not calm is both not quiet and not calm and vice versa.
Everyone who is not old or humble is quiet or strong.
If susan is both old and not... | Alice is not old. | entailment | (![X]:((quiet(X)|strong(X))<=>(brave(X)&~wise(X))))&
(((tall(susan)|generous(susan)))=>(?[X]:((humble(X)|~generous(X)))))&
(![X]:((~creative(X)&~calm(X))<=>(~quiet(X)&~calm(X))))&
(![X]:((~old(X)|humble(X))=>(quiet(X)|strong(X))))&
(((old(susan)&~tall(susan)))<=>((~creative(susan)<~>patient(susan))))&
(((~funny(lucy)|~... | ~old(alice) | [
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6882945821011374793790561
% SZS output start Proof for 6882945821011374793790561
14. (tall(alice) & ~old(alice)) <=> ? [X0] : ~strong(X0) [input p13]
20. ~funny(john) & ~strong(john) [input p19]
25. old(alice) [input hypothesis]
59. ((tall(alice) & ~old(alice)) | ! [X0] : strong(X0)) & (?... | 0 |
Everyone who is both not brave and not kind is both not tall and not creative. If someone is creative then mary is both not humble and humble. Everyone who is strong or tall is funny and vice versa. If mary is either not creative or not quiet then someone is both creative and not curious. If paul is either not strong o... | Lucy is funny. | entailment | (![X]:((~brave(X)&~kind(X))=>(~tall(X)&~creative(X))))&
((?[X]:(creative(X)))=>((~humble(mary)&humble(mary))))&
(![X]:((strong(X)|tall(X))<=>funny(X)))&
(((~creative(mary)<~>~quiet(mary)))=>(?[X]:((creative(X)&~curious(X)))))&
(((~strong(paul)<~>brave(paul)))=>(?[X]:((~tall(X)|happy(X)))))&
(((~brave(lucy)<~>patient(lu... | funny(lucy) | [
"p2",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3135155617546091236248109
% SZS output start Proof for 3135155617546091236248109
3. ! [X0] : ((tall(X0) | strong(X0)) <=> funny(X0)) [input p2]
7. ! [X0] : ((curious(X0) <~> calm(X0)) <=> (curious(X0) & funny(X0))) [input p6]
15. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (strong(X0) <~> ca... | 0 |
Everyone who is either not wise or not quiet is either humble or not wise and vice versa.
If someone is funny or creative then john is old or wise.
Everyone who is patient or not humble is not generous or curious and vice versa.
If mary is both not rich and funny then alice is not kind or kind and vice versa.
Everyone ... | Paul is brave. | entailment | (![X]:((~wise(X)<~>~quiet(X))<=>(humble(X)<~>~wise(X))))&
((?[X]:((funny(X)|creative(X))))=>((old(john)|wise(john))))&
(![X]:((patient(X)|~humble(X))<=>(~generous(X)|curious(X))))&
(((~rich(mary)&funny(mary)))<=>((~kind(alice)|kind(alice))))&
(![X]:(~old(X)=>(brave(X)&wise(X))))&
(![X]:((quiet(X)<~>~old(X))=>(old(X)|~t... | brave(paul) | [
"p0",
"p4",
"p6",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5480061899308742922646156
% SZS output start Proof for 5480061899308742922646156
1. ! [X0] : ((~wise(X0) <~> ~quiet(X0)) <=> (humble(X0) <~> ~wise(X0))) [input p0]
5. ! [X0] : (~old(X0) => (wise(X0) & brave(X0))) [input p4]
7. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~strong(X0) | ~ta... | 0 |
If someone is both curious and patient then someone is not quiet.
If susan is either calm or curious then someone is either tall or funny and vice versa.
If someone is either old or happy then lucy is not old and vice versa.
If john is happy then someone is both not calm and not patient and vice versa.
If lucy is not b... | Lucy is not wise. | neutral | ((?[X]:((curious(X)&patient(X))))=>(?[X]:(~quiet(X))))&
(((calm(susan)<~>curious(susan)))<=>(?[X]:((tall(X)<~>funny(X)))))&
((?[X]:((old(X)<~>happy(X))))<=>(~old(lucy)))&
((happy(john))<=>(?[X]:((~calm(X)&~patient(X)))))&
(((~brave(lucy)|~quiet(lucy)))=>((~quiet(susan)|strong(susan))))&
(![X]:(~funny(X)<=>(strong(X)&~h... | ~wise(lucy) | [] | null | 0 |
Everyone who is not strong is not brave or wise and vice versa.
Everyone who is either happy or funny is both curious and humble and vice versa.
If someone is patient or not creative then lucy is creative or not rich and vice versa.
Everyone who is not happy is either not curious or kind.
Everyone who is both curious a... | Lucy is quiet. | neutral | (![X]:(~strong(X)<=>(~brave(X)|wise(X))))&
(![X]:((happy(X)<~>funny(X))<=>(curious(X)&humble(X))))&
((?[X]:((patient(X)|~creative(X))))<=>((creative(lucy)|~rich(lucy))))&
(![X]:(~happy(X)=>(~curious(X)<~>kind(X))))&
(![X]:((curious(X)&~tall(X))=>(quiet(X)<~>~brave(X))))&
(((~old(paul)|~calm(paul)))<=>((~tall(lucy)<~>fu... | quiet(lucy) | [] | null | 0 |
Everyone who is both tall and not brave is both old and generous.
If alice is not old or generous then someone is both old and wise.
If paul is happy then fred is either generous or brave and vice versa.
If someone is brave or not rich then susan is either old or generous.
Everyone who is both old and not curious is ei... | Paul is creative. | contradiction | (![X]:((tall(X)&~brave(X))=>(old(X)&generous(X))))&
(((~old(alice)|generous(alice)))=>(?[X]:((old(X)&wise(X)))))&
((happy(paul))<=>((generous(fred)<~>brave(fred))))&
((?[X]:((brave(X)|~rich(X))))=>((old(susan)<~>generous(susan))))&
(![X]:((old(X)&~curious(X))<=>(happy(X)<~>~curious(X))))&
((?[X]:(tall(X)))=>(?[X]:((~ri... | creative(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7731647534864317204856809
% SZS output start Proof for 7731647534864317204856809
19. ~creative(paul) [input p18]
25. creative(paul) [input hypothesis]
128. ~creative(paul) [cnf transformation 19]
137. creative(paul) [cnf transformation 25]
329. $false [subsumption resolution 137,128]
% SZ... | 0 |
If paul is not curious then someone is not brave and vice versa. Everyone who is not brave is quiet or brave. If lucy is either not rich or not patient then susan is either not humble or generous. If someone is either not strong or old then someone is either not old or old. If someone is not patient or not wise then so... | Fred is not creative. | entailment | ((~curious(paul))<=>(?[X]:(~brave(X))))&
(![X]:(~brave(X)=>(quiet(X)|brave(X))))&
(((~rich(lucy)<~>~patient(lucy)))=>((~humble(susan)<~>generous(susan))))&
((?[X]:((~strong(X)<~>old(X))))=>(?[X]:((~old(X)<~>old(X)))))&
((?[X]:((~patient(X)|~wise(X))))<=>(?[X]:((strong(X)&tall(X)))))&
((?[X]:(calm(X)))=>(?[X]:((generous... | ~creative(fred) | [
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4308810918570310138653486
% SZS output start Proof for 4308810918570310138653486
8. ! [X0] : ((old(X0) & ~quiet(X0)) <=> (old(X0) & quiet(X0))) [input p7]
15. ! [X0] : ((humble(X0) | ~old(X0)) <=> (calm(X0) & ~creative(X0))) [input p14]
23. creative(fred) [input hypothesis]
59. ! [X0] : (... | 0 |
If paul is happy or not wise then someone is curious or not old.
If someone is both not brave and not curious then alice is both kind and tall.
If lucy is either rich or not happy then someone is kind or tall and vice versa.
Everyone who is both rich and brave is strong.
Everyone who is funny or quiet is either not cur... | Mary is wise. | contradiction | (((happy(paul)|~wise(paul)))=>(?[X]:((curious(X)|~old(X)))))&
((?[X]:((~brave(X)&~curious(X))))=>((kind(alice)&tall(alice))))&
(((rich(lucy)<~>~happy(lucy)))<=>(?[X]:((kind(X)|tall(X)))))&
(![X]:((rich(X)&brave(X))=>strong(X)))&
(![X]:((funny(X)|quiet(X))<=>(~curious(X)<~>calm(X))))&
((?[X]:((brave(X)|quiet(X))))<=>((~... | wise(mary) | [
"p4",
"p10",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 163203619328921879445953
% SZS output start Proof for 163203619328921879445953
5. ! [X0] : ((quiet(X0) | funny(X0)) <=> (~curious(X0) <~> calm(X0))) [input p4]
11. ! [X0] : ((old(X0) | ~calm(X0)) <=> curious(X0)) [input p10]
12. ! [X0] : (~old(X0) => (~patient(X0) & funny(X0))) [input p11... | 0 |
If someone is both not old and not patient then someone is brave or not patient.
Everyone who is both humble and brave is either happy or creative.
Everyone who is both not funny and not happy is not calm and vice versa.
Everyone who is both funny and not curious is both not generous and funny and vice versa.
Everyone ... | John is not humble. | neutral | ((?[X]:((~old(X)&~patient(X))))=>(?[X]:((brave(X)|~patient(X)))))&
(![X]:((humble(X)&brave(X))=>(happy(X)<~>creative(X))))&
(![X]:((~funny(X)&~happy(X))<=>~calm(X)))&
(![X]:((funny(X)&~curious(X))<=>(~generous(X)&funny(X))))&
(![X]:((~brave(X)&humble(X))<=>(old(X)|~generous(X))))&
((kind(lucy))=>(?[X]:(rich(X))))&
(![X... | ~humble(john) | [] | null | 0 |
Everyone who is either tall or patient is not humble or not rich and vice versa. Everyone who is kind or not humble is happy. Everyone who is both creative and not wise is both not creative and not generous and vice versa. Everyone who is generous is quiet. Everyone who is both not strong and not wise is not tall. Ever... | Mary is not tall. | neutral | (![X]:((tall(X)<~>patient(X))<=>(~humble(X)|~rich(X))))&
(![X]:((kind(X)|~humble(X))=>happy(X)))&
(![X]:((creative(X)&~wise(X))<=>(~creative(X)&~generous(X))))&
(![X]:(generous(X)=>quiet(X)))&
(![X]:((~strong(X)&~wise(X))=>~tall(X)))&
(![X]:((~strong(X)&calm(X))<=>(~patient(X)&funny(X))))&
((?[X]:(brave(X)))=>(wise(ali... | ~tall(mary) | [] | null | 0 |
Everyone who is not happy is not generous and vice versa. If john is not brave or not creative then someone is both creative and not wise. Everyone who is either not quiet or patient is either not calm or wise and vice versa. If alice is either quiet or creative then someone is both quiet and tall and vice versa. Every... | Paul is tall. | neutral | (![X]:(~happy(X)<=>~generous(X)))&
(((~brave(john)|~creative(john)))=>(?[X]:((creative(X)&~wise(X)))))&
(![X]:((~quiet(X)<~>patient(X))<=>(~calm(X)<~>wise(X))))&
(((quiet(alice)<~>creative(alice)))<=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((~generous(X)&brave(X))<=>(patient(X)&humble(X))))&
((?[X]:((old(X)<~>quiet(X))))=>... | tall(paul) | [] | null | 0 |
Everyone who is both kind and not patient is either rich or not curious and vice versa.
If someone is both not quiet and wise then lucy is not funny.
Everyone who is either not generous or not brave is not brave or humble and vice versa.
If someone is brave or not brave then lucy is either curious or generous and vice ... | Mary is quiet. | neutral | (![X]:((kind(X)&~patient(X))<=>(rich(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&wise(X))))=>(~funny(lucy)))&
(![X]:((~generous(X)<~>~brave(X))<=>(~brave(X)|humble(X))))&
((?[X]:((brave(X)|~brave(X))))<=>((curious(lucy)<~>generous(lucy))))&
(![X]:((~patient(X)&~generous(X))=>(~quiet(X)|~creative(X))))&
((?[X]:((strong(X)|~... | quiet(mary) | [] | null | 0 |
Everyone who is calm is not happy. Everyone who is either not quiet or quiet is both humble and not quiet. Everyone who is not kind is either brave or kind. Everyone who is either not tall or wise is either humble or not wise. Everyone who is not happy or kind is not calm or humble. Everyone who is not kind or humble i... | Paul is brave. | contradiction | (![X]:(calm(X)=>~happy(X)))&
(![X]:((~quiet(X)<~>quiet(X))=>(humble(X)&~quiet(X))))&
(![X]:(~kind(X)=>(brave(X)<~>kind(X))))&
(![X]:((~tall(X)<~>wise(X))=>(humble(X)<~>~wise(X))))&
(![X]:((~happy(X)|kind(X))=>(~calm(X)|humble(X))))&
(![X]:((~kind(X)|humble(X))<=>(funny(X)&creative(X))))&
(((old(lucy)<~>wise(lucy)))<=>(... | brave(paul) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2142998937231220975207657
% SZS output start Proof for 2142998937231220975207657
2. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => (~quiet(X0) & humble(X0))) [input p1]
16. ! [X0] : ((~tall(X0) | brave(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p15]
23. brave(paul) [input hypothesis]
25. ! [X0]... | 0 |
If someone is creative then fred is not humble or creative.
Everyone who is not kind or quiet is either not wise or not humble.
If someone is quiet or old then john is funny or quiet and vice versa.
Everyone who is either not humble or funny is calm and vice versa.
Everyone who is tall is generous or not brave.
If some... | Alice is kind. | entailment | ((?[X]:(creative(X)))=>((~humble(fred)|creative(fred))))&
(![X]:((~kind(X)|quiet(X))=>(~wise(X)<~>~humble(X))))&
((?[X]:((quiet(X)|old(X))))<=>((funny(john)|quiet(john))))&
(![X]:((~humble(X)<~>funny(X))<=>calm(X)))&
(![X]:(tall(X)=>(generous(X)|~brave(X))))&
((?[X]:((~patient(X)&quiet(X))))=>((old(mary)|~wise(mary))))... | kind(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2041373698574440118670813
% SZS output start Proof for 2041373698574440118670813
19. kind(alice) [input p18]
25. ~kind(alice) [input hypothesis]
125. kind(alice) [cnf transformation 19]
135. ~kind(alice) [cnf transformation 25]
248. $false [subsumption resolution 135,125]
% SZS output end... | 0 |
If susan is patient or not kind then someone is either curious or not wise and vice versa. If john is both quiet and creative then someone is not creative or patient and vice versa. If someone is either rich or not old then susan is both not quiet and not funny. If alice is not funny then fred is both not generous and ... | Lucy is kind. | entailment | (((patient(susan)|~kind(susan)))<=>(?[X]:((curious(X)<~>~wise(X)))))&
(((quiet(john)&creative(john)))<=>(?[X]:((~creative(X)|patient(X)))))&
((?[X]:((rich(X)<~>~old(X))))=>((~quiet(susan)&~funny(susan))))&
((~funny(alice))=>((~generous(fred)&~strong(fred))))&
(((creative(mary)&~brave(mary)))=>(brave(paul)))&
(![X]:((ha... | kind(lucy) | [
"p1",
"p6",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3202266702638943892225284
% SZS output start Proof for 3202266702638943892225284
2. (creative(john) & quiet(john)) <=> ? [X0] : (patient(X0) | ~creative(X0)) [input p1]
7. ! [X0] : (calm(X0) => (~funny(X0) & ~quiet(X0))) [input p6]
14. ! [X0] : ((kind(X0) <~> ~quiet(X0)) <=> (patient(X0) ... | 0 |
If someone is old or generous then someone is not funny or funny.
Everyone who is quiet is not brave or calm.
If mary is either wise or not calm then someone is either humble or creative.
Everyone who is not brave or generous is both not humble and not curious.
Everyone who is both curious and not patient is not wise o... | Mary is not humble. | neutral | ((?[X]:((old(X)|generous(X))))=>(?[X]:((~funny(X)|funny(X)))))&
(![X]:(quiet(X)=>(~brave(X)|calm(X))))&
(((wise(mary)<~>~calm(mary)))=>(?[X]:((humble(X)<~>creative(X)))))&
(![X]:((~brave(X)|generous(X))=>(~humble(X)&~curious(X))))&
(![X]:((curious(X)&~patient(X))<=>(~wise(X)|~brave(X))))&
(![X]:((~tall(X)<~>strong(X))=... | ~humble(mary) | [] | null | 0 |
If someone is both not kind and strong then someone is both kind and not curious.
If fred is both curious and not rich then someone is quiet or not rich.
If mary is both strong and not wise then someone is either generous or not patient and vice versa.
If someone is either not humble or kind then paul is happy and vice... | Fred is not strong. | contradiction | ((?[X]:((~kind(X)&strong(X))))=>(?[X]:((kind(X)&~curious(X)))))&
(((curious(fred)&~rich(fred)))=>(?[X]:((quiet(X)|~rich(X)))))&
(((strong(mary)&~wise(mary)))<=>(?[X]:((generous(X)<~>~patient(X)))))&
((?[X]:((~humble(X)<~>kind(X))))<=>(happy(paul)))&
(![X]:((~curious(X)|patient(X))<=>(~creative(X)<~>quiet(X))))&
(![X]:(... | ~strong(fred) | [
"p5",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 576093548536893230685989
% SZS output start Proof for 576093548536893230685989
6. ! [X0] : (calm(X0) => (patient(X0) & ~wise(X0))) [input p5]
9. ! [X0] : ((curious(X0) | ~calm(X0)) => (strong(X0) & tall(X0))) [input p8]
18. ~patient(fred) & wise(fred) [input p17]
25. ~strong(fred) [input ... | 0 |
Everyone who is not patient is either patient or tall. Everyone who is either creative or not funny is not old or not humble and vice versa. If fred is either old or not quiet then someone is either not strong or generous and vice versa. If someone is either not humble or funny then mary is not strong or tall and vice ... | Lucy is not funny. | entailment | (![X]:(~patient(X)=>(patient(X)<~>tall(X))))&
(![X]:((creative(X)<~>~funny(X))<=>(~old(X)|~humble(X))))&
(((old(fred)<~>~quiet(fred)))<=>(?[X]:((~strong(X)<~>generous(X)))))&
((?[X]:((~humble(X)<~>funny(X))))<=>((~strong(mary)|tall(mary))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~pati... | ~funny(lucy) | [
"p4",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4213968234286625505912374
% SZS output start Proof for 4213968234286625505912374
5. ! [X0] : ((creative(X0) | funny(X0)) => (tall(X0) & ~strong(X0))) [input p4]
9. ! [X0] : ((kind(X0) | curious(X0)) => (~curious(X0) & ~old(X0))) [input p8]
14. (~old(alice) & curious(alice)) <=> ? [X0] : (... | 0 |
Everyone who is not strong or old is not patient or funny.
Everyone who is either happy or not patient is not patient and vice versa.
Everyone who is both not funny and generous is either creative or not wise and vice versa.
If john is not calm or not strong then mary is not kind.
Everyone who is either generous or pat... | John is not quiet. | neutral | (![X]:((~strong(X)|old(X))=>(~patient(X)|funny(X))))&
(![X]:((happy(X)<~>~patient(X))<=>~patient(X)))&
(![X]:((~funny(X)&generous(X))<=>(creative(X)<~>~wise(X))))&
(((~calm(john)|~strong(john)))=>(~kind(mary)))&
(![X]:((generous(X)<~>patient(X))<=>(quiet(X)<~>~wise(X))))&
(![X]:((~happy(X)<~>~tall(X))<=>(humble(X)<~>~t... | ~quiet(john) | [] | null | 0 |
Everyone who is either not wise or humble is not generous and vice versa. If john is both tall and strong then mary is not quiet or not humble and vice versa. If someone is funny or happy then alice is kind or rich. If someone is either tall or not quiet then mary is either old or not humble and vice versa. Everyone wh... | Paul is not rich. | neutral | (![X]:((~wise(X)<~>humble(X))<=>~generous(X)))&
(((tall(john)&strong(john)))<=>((~quiet(mary)|~humble(mary))))&
((?[X]:((funny(X)|happy(X))))=>((kind(alice)|rich(alice))))&
((?[X]:((tall(X)<~>~quiet(X))))<=>((old(mary)<~>~humble(mary))))&
(![X]:((happy(X)<~>brave(X))=>(~creative(X)<~>kind(X))))&
(![X]:((~strong(X)|brav... | ~rich(paul) | [] | null | 0 |
Everyone who is not kind is both not curious and patient and vice versa.
Everyone who is either patient or not brave is both not creative and not brave and vice versa.
If someone is not curious or not rich then alice is not creative or not brave.
If someone is both not old and not wise then alice is generous and vice v... | Mary is not old. | entailment | (![X]:(~kind(X)<=>(~curious(X)&patient(X))))&
(![X]:((patient(X)<~>~brave(X))<=>(~creative(X)&~brave(X))))&
((?[X]:((~curious(X)|~rich(X))))=>((~creative(alice)|~brave(alice))))&
((?[X]:((~old(X)&~wise(X))))<=>(generous(alice)))&
((~tall(fred))=>((~strong(fred)|~creative(fred))))&
((humble(fred))<=>(~old(john)))&
((?[X... | ~old(mary) | [
"p0",
"p1",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 64298378153951995933156
% SZS output start Proof for 64298378153951995933156
1. ! [X0] : (~kind(X0) <=> (patient(X0) & ~curious(X0))) [input p0]
2. ! [X0] : ((patient(X0) <~> ~brave(X0)) <=> (~brave(X0) & ~creative(X0))) [input p1]
9. ! [X0] : ((rich(X0) <~> ~kind(X0)) => (~old(X0) & wise... | 0 |
If someone is creative or not generous then someone is not happy or not wise and vice versa. Everyone who is generous is either funny or not happy. If someone is not patient or patient then paul is either not calm or strong. Everyone who is both not wise and humble is either humble or not creative and vice versa. Every... | Mary is creative. | contradiction | ((?[X]:((creative(X)|~generous(X))))<=>(?[X]:((~happy(X)|~wise(X)))))&
(![X]:(generous(X)=>(funny(X)<~>~happy(X))))&
((?[X]:((~patient(X)|patient(X))))=>((~calm(paul)<~>strong(paul))))&
(![X]:((~wise(X)&humble(X))<=>(humble(X)<~>~creative(X))))&
(![X]:(rich(X)<=>(brave(X)<~>~happy(X))))&
(![X]:(~happy(X)=>(strong(X)&qu... | creative(mary) | [
"p3",
"p5",
"p6",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2738936416837918130586151
% SZS output start Proof for 2738936416837918130586151
4. ! [X0] : ((humble(X0) & ~wise(X0)) <=> (humble(X0) <~> ~creative(X0))) [input p3]
6. ! [X0] : (~happy(X0) => (quiet(X0) & strong(X0))) [input p5]
7. ! [X0] : ((strong(X0) & rich(X0)) <=> (strong(X0) <~> ~h... | 0 |
If fred is either strong or curious then alice is both not quiet and not old and vice versa.
Everyone who is strong is kind or not strong and vice versa.
Everyone who is patient or not humble is not creative or not tall and vice versa.
If lucy is both not patient and not happy then someone is either patient or not calm... | Fred is calm. | neutral | (((strong(fred)<~>curious(fred)))<=>((~quiet(alice)&~old(alice))))&
(![X]:(strong(X)<=>(kind(X)|~strong(X))))&
(![X]:((patient(X)|~humble(X))<=>(~creative(X)|~tall(X))))&
(((~patient(lucy)&~happy(lucy)))=>(?[X]:((patient(X)<~>~calm(X)))))&
(![X]:((~humble(X)|~rich(X))<=>(~wise(X)<~>happy(X))))&
(((calm(john)|quiet(john... | calm(fred) | [] | null | 0 |
If someone is not quiet or not rich then fred is both not humble and wise and vice versa.
Everyone who is either calm or not tall is either brave or patient.
Everyone who is both tall and not patient is both calm and not wise.
If alice is not strong then someone is tall.
Everyone who is either patient or creative is no... | Mary is not humble. | neutral | ((?[X]:((~quiet(X)|~rich(X))))<=>((~humble(fred)&wise(fred))))&
(![X]:((calm(X)<~>~tall(X))=>(brave(X)<~>patient(X))))&
(![X]:((tall(X)&~patient(X))=>(calm(X)&~wise(X))))&
((~strong(alice))=>(?[X]:(tall(X))))&
(![X]:((patient(X)<~>creative(X))=>~curious(X)))&
(![X]:((quiet(X)|wise(X))<=>~patient(X)))&
(![X]:((humble(X)... | ~humble(mary) | [] | null | 0 |
If someone is not funny or not wise then fred is quiet or not funny and vice versa.
Everyone who is either brave or kind is rich and vice versa.
Everyone who is either humble or generous is curious or not rich.
Everyone who is wise is not kind or kind.
Everyone who is both not happy and not funny is either quiet or pat... | John is not generous. | entailment | ((?[X]:((~funny(X)|~wise(X))))<=>((quiet(fred)|~funny(fred))))&
(![X]:((brave(X)<~>kind(X))<=>rich(X)))&
(![X]:((humble(X)<~>generous(X))=>(curious(X)|~rich(X))))&
(![X]:(wise(X)=>(~kind(X)|kind(X))))&
(![X]:((~happy(X)&~funny(X))<=>(quiet(X)<~>patient(X))))&
((?[X]:((old(X)|~rich(X))))<=>((creative(fred)<~>~kind(fred)... | ~generous(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6360187706679141148922946
% SZS output start Proof for 6360187706679141148922946
14. ! [X0] : ((wise(X0) | generous(X0)) <=> (~generous(X0) & generous(X0))) [input p13]
25. generous(john) [input hypothesis]
70. ! [X0] : (((wise(X0) | generous(X0)) | (generous(X0) | ~generous(X0))) & ((~ge... | 0 |
If fred is both generous and wise then alice is either not curious or happy and vice versa. Everyone who is both creative and quiet is quiet or happy and vice versa. If susan is either creative or not rich then lucy is both kind and not brave and vice versa. Everyone who is either not rich or funny is both patient and ... | Alice is tall. | neutral | (((generous(fred)&wise(fred)))<=>((~curious(alice)<~>happy(alice))))&
(![X]:((creative(X)&quiet(X))<=>(quiet(X)|happy(X))))&
(((creative(susan)<~>~rich(susan)))<=>((kind(lucy)&~brave(lucy))))&
(![X]:((~rich(X)<~>funny(X))<=>(patient(X)&~patient(X))))&
(![X]:((~kind(X)|funny(X))<=>(~brave(X)&~patient(X))))&
((?[X]:((~wi... | tall(alice) | [] | null | 0 |
Everyone who is not patient is not funny and vice versa.
Everyone who is happy or not brave is both not calm and not patient.
Everyone who is both not wise and not strong is both not quiet and not strong and vice versa.
If someone is both kind and not generous then alice is curious or not calm and vice versa.
Everyone ... | Paul is not funny. | entailment | (![X]:(~patient(X)<=>~funny(X)))&
(![X]:((happy(X)|~brave(X))=>(~calm(X)&~patient(X))))&
(![X]:((~wise(X)&~strong(X))<=>(~quiet(X)&~strong(X))))&
((?[X]:((kind(X)&~generous(X))))<=>((curious(alice)|~calm(alice))))&
(![X]:((rich(X)|happy(X))<=>(~curious(X)|happy(X))))&
((?[X]:((~quiet(X)|~strong(X))))=>(?[X]:((~rich(X)&... | ~funny(paul) | [
"p0",
"p1",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9198450760112161536689390
% SZS output start Proof for 9198450760112161536689390
1. ! [X0] : (~patient(X0) <=> ~funny(X0)) [input p0]
2. ! [X0] : ((~brave(X0) | happy(X0)) => (~patient(X0) & ~calm(X0))) [input p1]
17. ~creative(paul) & ~brave(paul) [input p16]
24. funny(paul) [input hypot... | 0 |
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is either not quiet or rich.
Everyone who is not happy or not quiet is both wise and not curious.
Everyone who is both not patient and not funny is both not curious and gen... | Lucy is not wise. | contradiction | (![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patient(X)&~funny(X))<=>(~curious(X)&generous(X))))&
((~humble(paul))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((happy(X... | ~wise(lucy) | [
"p0",
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1758056642625075855546771
% SZS output start Proof for 1758056642625075855546771
1. ! [X0] : (~kind(X0) => (wise(X0) & creative(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & wise(X0))) [input p3]
12. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (wise(X0) | ~cre... | 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... | Paul is not wise. | 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... | ~wise(paul) | [] | null | 0 |
If someone is both not kind and wise then lucy is either curious or not funny and vice versa.
Everyone who is both not rich and wise is either brave or not quiet.
If fred is funny then someone is happy.
Everyone who is either not creative or not strong is not quiet or quiet.
If mary is both not rich and not old then su... | Fred is tall. | contradiction | ((?[X]:((~kind(X)&wise(X))))<=>((curious(lucy)<~>~funny(lucy))))&
(![X]:((~rich(X)&wise(X))=>(brave(X)<~>~quiet(X))))&
((funny(fred))=>(?[X]:(happy(X))))&
(![X]:((~creative(X)<~>~strong(X))=>(~quiet(X)|quiet(X))))&
(((~rich(mary)&~old(mary)))=>((calm(susan)|~humble(susan))))&
((?[X]:(~creative(X)))=>((brave(susan)|~cur... | tall(fred) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6253860541401961861714765
% SZS output start Proof for 6253860541401961861714765
9. ! [X0] : ((~funny(X0) | tall(X0)) <=> (~generous(X0) & brave(X0))) [input p8]
13. ! [X0] : ((~patient(X0) | patient(X0)) => (generous(X0) & ~old(X0))) [input p12]
23. tall(fred) [input hypothesis]
41. ! [X... | 0 |
If someone is both not tall and strong then someone is curious.
Everyone who is not tall or not creative is both quiet and not brave and vice versa.
If someone is both old and happy then john is not wise or generous and vice versa.
If lucy is either old or not kind then paul is either not generous or creative.
If someo... | Paul is calm. | entailment | ((?[X]:((~tall(X)&strong(X))))=>(?[X]:(curious(X))))&
(![X]:((~tall(X)|~creative(X))<=>(quiet(X)&~brave(X))))&
((?[X]:((old(X)&happy(X))))<=>((~wise(john)|generous(john))))&
(((old(lucy)<~>~kind(lucy)))=>((~generous(paul)<~>creative(paul))))&
((?[X]:((creative(X)|~tall(X))))=>(~generous(fred)))&
(![X]:((~curious(X)<~>k... | calm(paul) | [
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8293008519161084879969428
% SZS output start Proof for 8293008519161084879969428
13. ! [X0] : ((~creative(X0) <~> ~old(X0)) => (~happy(X0) & brave(X0))) [input p12]
14. ! [X0] : ((brave(X0) | ~funny(X0)) => (~calm(X0) <~> humble(X0))) [input p13]
15. ! [X0] : ((~humble(X0) & creative(X0))... | 0 |
If mary is not wise or patient then someone is either not quiet or not patient.
If someone is not curious or not kind then someone is both not kind and not brave and vice versa.
Everyone who is not strong or generous is calm or generous and vice versa.
If john is both not quiet and funny then someone is either not kind... | Lucy is curious. | entailment | (((~wise(mary)|patient(mary)))=>(?[X]:((~quiet(X)<~>~patient(X)))))&
((?[X]:((~curious(X)|~kind(X))))<=>(?[X]:((~kind(X)&~brave(X)))))&
(![X]:((~strong(X)|generous(X))<=>(calm(X)|generous(X))))&
(((~quiet(john)&funny(john)))<=>(?[X]:((~kind(X)<~>~tall(X)))))&
(((~humble(lucy)&~old(lucy)))<=>(?[X]:(wise(X))))&
(![X]:(ha... | curious(lucy) | [
"p3",
"p5",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 572158326222381618199850
% SZS output start Proof for 572158326222381618199850
4. (funny(john) & ~quiet(john)) <=> ? [X0] : (~kind(X0) <~> ~tall(X0)) [input p3]
6. ! [X0] : (happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p5]
8. ! [X0] : ((happy(X0) | ~happy(X0)) => strong(X0)) [input ... | 0 |
Everyone who is happy is both funny and generous and vice versa. Everyone who is not brave is not wise or generous and vice versa. Everyone who is curious is either not patient or tall. Everyone who is not strong is either rich or not old and vice versa. If john is both not curious and not humble then someone is not hu... | Lucy is not strong. | entailment | (![X]:(happy(X)<=>(funny(X)&generous(X))))&
(![X]:(~brave(X)<=>(~wise(X)|generous(X))))&
(![X]:(curious(X)=>(~patient(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>~old(X))))&
(((~curious(john)&~humble(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|~creative(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:(patient(X)))<=>... | ~strong(lucy) | [
"p3",
"p7",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9155223146956677010812382
% SZS output start Proof for 9155223146956677010812382
4. ! [X0] : (~strong(X0) <=> (rich(X0) <~> ~old(X0))) [input p3]
8. ! [X0] : ((kind(X0) | ~calm(X0)) <=> (~calm(X0) <~> ~wise(X0))) [input p7]
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (generous(X0) & ~cal... | 0 |
If someone is either tall or not kind then mary is happy and vice versa.
If someone is either not quiet or generous then alice is not happy or not curious and vice versa.
If susan is not patient or creative then john is not curious and vice versa.
If someone is strong or patient then someone is not patient or not wise.... | Mary is not calm. | contradiction | ((?[X]:((tall(X)<~>~kind(X))))<=>(happy(mary)))&
((?[X]:((~quiet(X)<~>generous(X))))<=>((~happy(alice)|~curious(alice))))&
(((~patient(susan)|creative(susan)))<=>(~curious(john)))&
((?[X]:((strong(X)|patient(X))))=>(?[X]:((~patient(X)|~wise(X)))))&
(![X]:((funny(X)&strong(X))=>(old(X)<~>~rich(X))))&
(![X]:(~generous(X)... | ~calm(mary) | [
"p5",
"p6",
"p9",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4091383608442742494771319
% SZS output start Proof for 4091383608442742494771319
6. ! [X0] : (~generous(X0) <=> tall(X0)) [input p5]
7. ! [X0] : ((~tall(X0) & rich(X0)) <=> ~curious(X0)) [input p6]
10. ! [X0] : ((~generous(X0) <~> ~old(X0)) => (~generous(X0) & humble(X0))) [input p9]
13. ... | 0 |
If fred is either patient or not old then paul is both not generous and old and vice versa.
Everyone who is both patient and not rich is not brave.
Everyone who is both not tall and not strong is not old and vice versa.
If someone is both calm and tall then fred is both not strong and not curious and vice versa.
Everyo... | Susan is calm. | neutral | (((patient(fred)<~>~old(fred)))<=>((~generous(paul)&old(paul))))&
(![X]:((patient(X)&~rich(X))=>~brave(X)))&
(![X]:((~tall(X)&~strong(X))<=>~old(X)))&
((?[X]:((calm(X)&tall(X))))<=>((~strong(fred)&~curious(fred))))&
(![X]:((strong(X)<~>~happy(X))=>(~funny(X)<~>~wise(X))))&
((?[X]:((~happy(X)&calm(X))))=>(?[X]:((calm(X)... | calm(susan) | [] | null | 0 |
Everyone who is both not patient and curious is not curious or creative and vice versa.
If someone is both not brave and calm then john is happy and vice versa.
Everyone who is not creative or not tall is either not humble or happy and vice versa.
If someone is not quiet or tall then someone is old or strong.
If someon... | John is not calm. | neutral | (![X]:((~patient(X)&curious(X))<=>(~curious(X)|creative(X))))&
((?[X]:((~brave(X)&calm(X))))<=>(happy(john)))&
(![X]:((~creative(X)|~tall(X))<=>(~humble(X)<~>happy(X))))&
((?[X]:((~quiet(X)|tall(X))))=>(?[X]:((old(X)|strong(X)))))&
((?[X]:((~curious(X)<~>~generous(X))))=>((calm(paul)<~>~old(paul))))&
(![X]:((calm(X)<~>... | ~calm(john) | [] | null | 0 |
Everyone who is both happy and not calm is both creative and not kind and vice versa. Everyone who is not funny or creative is not happy or curious. Everyone who is patient or not old is not old. Everyone who is both calm and not happy is happy or funny. If paul is not rich or not patient then susan is both kind and qu... | Susan is not calm. | entailment | (![X]:((happy(X)&~calm(X))<=>(creative(X)&~kind(X))))&
(![X]:((~funny(X)|creative(X))=>(~happy(X)|curious(X))))&
(![X]:((patient(X)|~old(X))=>~old(X)))&
(![X]:((calm(X)&~happy(X))=>(happy(X)|funny(X))))&
(((~rich(paul)|~patient(paul)))=>((kind(susan)&quiet(susan))))&
((?[X]:((~generous(X)|~wise(X))))<=>((~creative(alic... | ~calm(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6908625256309698535156832
% SZS output start Proof for 6908625256309698535156832
16. ? [X0] : (calm(X0) | ~curious(X0)) <=> (~kind(john) & kind(john)) [input p15]
24. calm(susan) [input hypothesis]
68. (? [X0] : (calm(X0) | ~curious(X0)) | (kind(john) | ~kind(john))) & ((~kind(john) & kin... | 0 |
Everyone who is not generous is both not tall and not generous and vice versa.
If paul is strong or humble then someone is tall or not generous and vice versa.
Everyone who is either not happy or generous is both strong and old.
Everyone who is both strong and tall is both happy and calm and vice versa.
Everyone who is... | John is brave. | entailment | (![X]:(~generous(X)<=>(~tall(X)&~generous(X))))&
(((strong(paul)|humble(paul)))<=>(?[X]:((tall(X)|~generous(X)))))&
(![X]:((~happy(X)<~>generous(X))=>(strong(X)&old(X))))&
(![X]:((strong(X)&tall(X))<=>(happy(X)&calm(X))))&
(![X]:(~kind(X)<=>(strong(X)<~>~rich(X))))&
(![X]:((rich(X)<~>strong(X))<=>(patient(X)&~funny(X))... | brave(john) | [
"p4",
"p5",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3681390295448127573323826
% SZS output start Proof for 3681390295448127573323826
5. ! [X0] : (~kind(X0) <=> (strong(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((rich(X0) <~> strong(X0)) <=> (~funny(X0) & patient(X0))) [input p5]
11. ! [X0] : ((kind(X0) <~> ~kind(X0)) => (~patient(X0) & ge... | 0 |
Everyone who is either generous or quiet is either patient or wise and vice versa.
If someone is wise or creative then john is either not calm or not funny.
Everyone who is not funny or not old is old or curious.
Everyone who is quiet is not tall and vice versa.
Everyone who is both happy and not quiet is not quiet and... | John is not funny. | neutral | (![X]:((generous(X)<~>quiet(X))<=>(patient(X)<~>wise(X))))&
((?[X]:((wise(X)|creative(X))))=>((~calm(john)<~>~funny(john))))&
(![X]:((~funny(X)|~old(X))=>(old(X)|curious(X))))&
(![X]:(quiet(X)<=>~tall(X)))&
(![X]:((happy(X)&~quiet(X))<=>~quiet(X)))&
(![X]:((wise(X)&creative(X))=>(kind(X)|strong(X))))&
(![X]:(~quiet(X)=... | ~funny(john) | [] | null | 0 |
If someone is strong or not calm then mary is either not creative or not happy and vice versa.
Everyone who is tall or curious is both strong and not creative.
If fred is creative or quiet then john is either not strong or curious.
If mary is calm then lucy is not quiet and vice versa.
Everyone who is both quiet and no... | Fred is not kind. | neutral | ((?[X]:((strong(X)|~calm(X))))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:((tall(X)|curious(X))=>(strong(X)&~creative(X))))&
(((creative(fred)|quiet(fred)))=>((~strong(john)<~>curious(john))))&
((calm(mary))<=>(~quiet(lucy)))&
(![X]:((quiet(X)&~happy(X))<=>~happy(X)))&
(![X]:(creative(X)<=>(~wise(X)|tall(X))))&
((~pa... | ~kind(fred) | [] | null | 0 |
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