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 funny then someone is either not creative or not tall and vice versa.
Everyone who is either not strong or not rich is both not funny and happy.
Everyone who is either not funny or not tall is humble.
Everyone who is not quiet or not funny is both humble and not quiet and vice versa.
If someone is not qui... | Mary is rich. | contradiction | ((?[X]:(funny(X)))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((~strong(X)<~>~rich(X))=>(~funny(X)&happy(X))))&
(![X]:((~funny(X)<~>~tall(X))=>humble(X)))&
(![X]:((~quiet(X)|~funny(X))<=>(humble(X)&~quiet(X))))&
((?[X]:(~quiet(X)))<=>(~kind(paul)))&
(((quiet(john)<~>~tall(john)))<=>(?[X]:(~quiet(X))))&
((?[X]:((~curi... | rich(mary) | [
"p1",
"p3",
"p4",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3918776879368183898119238
% SZS output start Proof for 3918776879368183898119238
2. ! [X0] : ((~strong(X0) <~> ~rich(X0)) => (happy(X0) & ~funny(X0))) [input p1]
4. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (~quiet(X0) & humble(X0))) [input p3]
5. ? [X0] : ~quiet(X0) <=> ~kind(paul) [input ... | 0 |
Everyone who is both calm and humble is either not creative or not generous and vice versa.
Everyone who is both not curious and not creative is patient.
Everyone who is both quiet and kind is tall and vice versa.
If someone is not quiet then john is both not calm and not wise.
Everyone who is wise or old is either not... | Alice is wise. | contradiction | (![X]:((calm(X)&humble(X))<=>(~creative(X)<~>~generous(X))))&
(![X]:((~curious(X)&~creative(X))=>patient(X)))&
(![X]:((quiet(X)&kind(X))<=>tall(X)))&
((?[X]:(~quiet(X)))=>((~calm(john)&~wise(john))))&
(![X]:((wise(X)|old(X))<=>(~wise(X)<~>~tall(X))))&
((?[X]:((generous(X)|~wise(X))))<=>((~creative(john)|tall(john))))&
... | wise(alice) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 891946411194645554981165
% SZS output start Proof for 891946411194645554981165
5. ! [X0] : ((old(X0) | wise(X0)) <=> (~wise(X0) <~> ~tall(X0))) [input p4]
19. curious(alice) & tall(alice) [input p18]
25. wise(alice) [input hypothesis]
41. ! [X0] : (((old(X0) | wise(X0)) | ((~wise(X0) | ta... | 0 |
If susan is not humble then someone is both not rich and not generous and vice versa.
Everyone who is tall or patient is not old.
Everyone who is both not curious and tall is curious or funny.
Everyone who is either not creative or not tall is either not old or creative and vice versa.
Everyone who is calm is both funn... | Paul is not tall. | contradiction | ((~humble(susan))<=>(?[X]:((~rich(X)&~generous(X)))))&
(![X]:((tall(X)|patient(X))=>~old(X)))&
(![X]:((~curious(X)&tall(X))=>(curious(X)|funny(X))))&
(![X]:((~creative(X)<~>~tall(X))<=>(~old(X)<~>creative(X))))&
(![X]:(calm(X)=>(funny(X)&humble(X))))&
((?[X]:((~generous(X)|~brave(X))))<=>(?[X]:(~old(X))))&
((generous(p... | ~tall(paul) | [
"p0",
"p3",
"p4",
"p9",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7901376992095212485122061
% SZS output start Proof for 7901376992095212485122061
1. ~humble(susan) <=> ? [X0] : (~generous(X0) & ~rich(X0)) [input p0]
4. ! [X0] : ((~creative(X0) <~> ~tall(X0)) <=> (~old(X0) <~> creative(X0))) [input p3]
5. ! [X0] : (calm(X0) => (humble(X0) & funny(X0))) ... | 0 |
If someone is either kind or not creative then susan is both not tall and wise.
Everyone who is not tall or happy is both not calm and curious and vice versa.
If someone is both not brave and old then john is both calm and rich.
Everyone who is curious is either not funny or not tall and vice versa.
Everyone who is bot... | Susan is tall. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((~tall(susan)&wise(susan))))&
(![X]:((~tall(X)|happy(X))<=>(~calm(X)&curious(X))))&
((?[X]:((~brave(X)&old(X))))=>((calm(john)&rich(john))))&
(![X]:(curious(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|kind(X))))&
(![X]:((~old(X)&rich(X))=>(~rich(X)&~curious... | tall(susan) | [
"p0",
"p6",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3751241867371254541422769
% SZS output start Proof for 3751241867371254541422769
1. ? [X0] : (kind(X0) <~> ~creative(X0)) => (wise(susan) & ~tall(susan)) [input p0]
7. (creative(mary) & ~calm(mary)) <=> (curious(susan) | brave(susan)) [input p6]
12. (~kind(mary) <~> ~creative(mary)) <=> (... | 0 |
If someone is not funny then alice is tall or brave and vice versa.
If paul is rich then someone is either not quiet or rich and vice versa.
Everyone who is both not curious and not humble is either tall or brave.
If someone is not quiet or not rich then someone is either calm or generous and vice versa.
If someone is ... | Fred is quiet. | entailment | ((?[X]:(~funny(X)))<=>((tall(alice)|brave(alice))))&
((rich(paul))<=>(?[X]:((~quiet(X)<~>rich(X)))))&
(![X]:((~curious(X)&~humble(X))=>(tall(X)<~>brave(X))))&
((?[X]:((~quiet(X)|~rich(X))))<=>(?[X]:((calm(X)<~>generous(X)))))&
((?[X]:((~calm(X)&strong(X))))<=>(?[X]:((~generous(X)|old(X)))))&
(((creative(paul)&~brave(pa... | quiet(fred) | [
"p4",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1206798075567017225466799
% SZS output start Proof for 1206798075567017225466799
5. ? [X0] : (strong(X0) & ~calm(X0)) <=> ? [X0] : (old(X0) | ~generous(X0)) [input p4]
9. ! [X0] : ((~kind(X0) | calm(X0)) <=> kind(X0)) [input p8]
10. ! [X0] : ((humble(X0) & ~kind(X0)) <=> (happy(X0) | old(... | 0 |
Everyone who is both not brave and patient is not happy or humble and vice versa.
Everyone who is both happy and tall is not calm and vice versa.
Everyone who is funny is humble and vice versa.
Everyone who is humble or quiet is either old or not happy and vice versa.
Everyone who is quiet is either calm or tall.
If ma... | Lucy is tall. | neutral | (![X]:((~brave(X)&patient(X))<=>(~happy(X)|humble(X))))&
(![X]:((happy(X)&tall(X))<=>~calm(X)))&
(![X]:(funny(X)<=>humble(X)))&
(![X]:((humble(X)|quiet(X))<=>(old(X)<~>~happy(X))))&
(![X]:(quiet(X)=>(calm(X)<~>tall(X))))&
((old(mary))<=>(?[X]:((~kind(X)<~>~strong(X)))))&
(![X]:((~patient(X)&generous(X))=>(~old(X)<~>~ca... | tall(lucy) | [] | null | 0 |
Everyone who is either calm or strong is brave.
Everyone who is calm is either happy or not patient and vice versa.
Everyone who is either not curious or tall is happy or generous and vice versa.
Everyone who is either not quiet or not patient is either not happy or old.
Everyone who is tall is both humble and creative... | Susan is brave. | entailment | (![X]:((calm(X)<~>strong(X))=>brave(X)))&
(![X]:(calm(X)<=>(happy(X)<~>~patient(X))))&
(![X]:((~curious(X)<~>tall(X))<=>(happy(X)|generous(X))))&
(![X]:((~quiet(X)<~>~patient(X))=>(~happy(X)<~>old(X))))&
(![X]:(tall(X)<=>(humble(X)&creative(X))))&
(![X]:(wise(X)<=>(kind(X)<~>funny(X))))&
(![X]:((calm(X)|~happy(X))=>(~h... | brave(susan) | [
"p0",
"p2",
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6007514961316114742900026
% SZS output start Proof for 6007514961316114742900026
1. ! [X0] : ((calm(X0) <~> strong(X0)) => brave(X0)) [input p0]
3. ! [X0] : ((~curious(X0) <~> tall(X0)) <=> (generous(X0) | happy(X0))) [input p2]
5. ! [X0] : (tall(X0) <=> (creative(X0) & humble(X0))) [inpu... | 0 |
Everyone who is not quiet or generous is either strong or not humble. Everyone who is both old and brave is funny or brave. Everyone who is not wise or quiet is both not tall and not patient. Everyone who is either kind or not kind is funny and vice versa. If john is generous or not brave then someone is not brave and ... | John is kind. | entailment | (![X]:((~quiet(X)|generous(X))=>(strong(X)<~>~humble(X))))&
(![X]:((old(X)&brave(X))=>(funny(X)|brave(X))))&
(![X]:((~wise(X)|quiet(X))=>(~tall(X)&~patient(X))))&
(![X]:((kind(X)<~>~kind(X))<=>funny(X)))&
(((generous(john)|~brave(john)))<=>(?[X]:(~brave(X))))&
(![X]:(wise(X)=>(~funny(X)&curious(X))))&
(![X]:((~wise(X)<... | kind(john) | [
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 804369903570858695308998
% SZS output start Proof for 804369903570858695308998
4. ! [X0] : ((kind(X0) <~> ~kind(X0)) <=> funny(X0)) [input p3]
6. ! [X0] : (wise(X0) => (curious(X0) & ~funny(X0))) [input p5]
8. ! [X0] : ((creative(X0) | ~kind(X0)) => (wise(X0) & funny(X0))) [input p7]
22. ... | 0 |
Everyone who is brave is not strong.
Everyone who is either brave or not strong is either not funny or not tall and vice versa.
Everyone who is not calm or wise is both happy and not patient and vice versa.
Everyone who is both not brave and not tall is both quiet and strong.
Everyone who is patient is either brave or ... | Paul is not rich. | contradiction | (![X]:(brave(X)=>~strong(X)))&
(![X]:((brave(X)<~>~strong(X))<=>(~funny(X)<~>~tall(X))))&
(![X]:((~calm(X)|wise(X))<=>(happy(X)&~patient(X))))&
(![X]:((~brave(X)&~tall(X))=>(quiet(X)&strong(X))))&
(![X]:(patient(X)<=>(brave(X)<~>~wise(X))))&
(((happy(john)|calm(john)))<=>(?[X]:((quiet(X)<~>~tall(X)))))&
((?[X]:(~patien... | ~rich(paul) | [
"p10",
"p11",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2945954812389461052489868
% SZS output start Proof for 2945954812389461052489868
11. ~curious(paul) <=> ? [X0] : (~brave(X0) | patient(X0)) [input p10]
12. ? [X0] : (~brave(X0) <~> funny(X0)) <=> ? [X0] : calm(X0) [input p11]
14. ! [X0] : ((~funny(X0) & ~old(X0)) <=> (funny(X0) | wise(X0)... | 0 |
If someone is creative then john is not rich or old and vice versa.
Everyone who is not curious is either not quiet or not patient and vice versa.
Everyone who is funny is not patient or kind and vice versa.
Everyone who is either not quiet or humble is humble and vice versa.
Everyone who is both not curious and not wi... | Lucy is old. | neutral | ((?[X]:(creative(X)))<=>((~rich(john)|old(john))))&
(![X]:(~curious(X)<=>(~quiet(X)<~>~patient(X))))&
(![X]:(funny(X)<=>(~patient(X)|kind(X))))&
(![X]:((~quiet(X)<~>humble(X))<=>humble(X)))&
(![X]:((~curious(X)&~wise(X))=>(~quiet(X)&funny(X))))&
((?[X]:(generous(X)))<=>(~patient(mary)))&
(![X]:((wise(X)<~>humble(X))=>(... | old(lucy) | [] | null | 0 |
If fred is both not calm and curious then fred is both not tall and not generous.
Everyone who is tall or not wise is both quiet and not happy.
If paul is both not creative and generous then someone is curious or not rich.
Everyone who is not calm or not wise is not happy or patient.
Everyone who is both happy and not ... | Susan is rich. | contradiction | (((~calm(fred)&curious(fred)))=>((~tall(fred)&~generous(fred))))&
(![X]:((tall(X)|~wise(X))=>(quiet(X)&~happy(X))))&
(((~creative(paul)&generous(paul)))=>(?[X]:((curious(X)|~rich(X)))))&
(![X]:((~calm(X)|~wise(X))=>(~happy(X)|patient(X))))&
(![X]:((happy(X)&~wise(X))<=>(~curious(X)<~>~patient(X))))&
((~funny(fred))=>((... | rich(susan) | [
"p1",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8364585421714641024533024
% SZS output start Proof for 8364585421714641024533024
2. ! [X0] : ((~wise(X0) | tall(X0)) => (~happy(X0) & quiet(X0))) [input p1]
8. ! [X0] : ((tall(X0) | strong(X0)) <=> (~strong(X0) <~> happy(X0))) [input p7]
11. ! [X0] : ((~wise(X0) <~> rich(X0)) => ~happy(X0... | 0 |
Everyone who is either not funny or not humble is both quiet and not curious. Everyone who is not patient or not rich is both not strong and strong and vice versa. If someone is both patient and not brave then paul is either not funny or not brave and vice versa. Everyone who is funny or not kind is calm and vice versa... | Alice is quiet. | entailment | (![X]:((~funny(X)<~>~humble(X))=>(quiet(X)&~curious(X))))&
(![X]:((~patient(X)|~rich(X))<=>(~strong(X)&strong(X))))&
((?[X]:((patient(X)&~brave(X))))<=>((~funny(paul)<~>~brave(paul))))&
(![X]:((funny(X)|~kind(X))<=>calm(X)))&
(![X]:((~old(X)<~>patient(X))<=>~rich(X)))&
(![X]:((kind(X)&~calm(X))<=>(wise(X)&humble(X))))&... | quiet(alice) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2450319483865503821915667
% SZS output start Proof for 2450319483865503821915667
1. ! [X0] : ((~funny(X0) <~> ~humble(X0)) => (~curious(X0) & quiet(X0))) [input p0]
2. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> (strong(X0) & ~strong(X0))) [input p1]
4. ! [X0] : ((~kind(X0) | funny(X0)) <=> ... | 0 |
Everyone who is tall is not rich.
Everyone who is not strong is quiet or not happy and vice versa.
If someone is not quiet or not wise then someone is either wise or creative and vice versa.
Everyone who is both kind and calm is both curious and not creative.
Everyone who is both not curious and not tall is either not ... | John is strong. | entailment | (![X]:(tall(X)=>~rich(X)))&
(![X]:(~strong(X)<=>(quiet(X)|~happy(X))))&
((?[X]:((~quiet(X)|~wise(X))))<=>(?[X]:((wise(X)<~>creative(X)))))&
(![X]:((kind(X)&calm(X))=>(curious(X)&~creative(X))))&
(![X]:((~curious(X)&~tall(X))=>(~humble(X)<~>brave(X))))&
(![X]:((generous(X)&humble(X))=>happy(X)))&
(((tall(john)|brave(joh... | strong(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7198494276447260255577235
% SZS output start Proof for 7198494276447260255577235
11. ! [X0] : ((funny(X0) & ~strong(X0)) <=> ~funny(X0)) [input p10]
24. ~strong(john) [input hypothesis]
51. ! [X0] : (((funny(X0) & ~strong(X0)) | funny(X0)) & (~funny(X0) | (~funny(X0) | strong(X0)))) [nnf ... | 0 |
Everyone who is both not brave and creative is humble or not patient.
Everyone who is both rich and not patient is both not old and brave and vice versa.
Everyone who is rich is either not brave or brave.
If someone is both not happy and rich then paul is humble and vice versa.
If john is both not patient and not old t... | John is humble. | neutral | (![X]:((~brave(X)&creative(X))=>(humble(X)|~patient(X))))&
(![X]:((rich(X)&~patient(X))<=>(~old(X)&brave(X))))&
(![X]:(rich(X)=>(~brave(X)<~>brave(X))))&
((?[X]:((~happy(X)&rich(X))))<=>(humble(paul)))&
(((~patient(john)&~old(john)))<=>(?[X]:((wise(X)&~patient(X)))))&
((?[X]:((quiet(X)|~brave(X))))=>(?[X]:(~strong(X)))... | humble(john) | [] | null | 0 |
Everyone who is curious is either not old or not funny. If someone is either brave or not calm then someone is not funny or not tall. If fred is funny or not old then someone is kind and vice versa. If someone is both not curious and not humble then paul is both wise and curious. Everyone who is both tall and not gener... | Paul is old. | entailment | (![X]:(curious(X)=>(~old(X)<~>~funny(X))))&
((?[X]:((brave(X)<~>~calm(X))))=>(?[X]:((~funny(X)|~tall(X)))))&
(((funny(fred)|~old(fred)))<=>(?[X]:(kind(X))))&
((?[X]:((~curious(X)&~humble(X))))=>((wise(paul)&curious(paul))))&
(![X]:((tall(X)&~generous(X))<=>(rich(X)|tall(X))))&
(![X]:((tall(X)<~>calm(X))<=>curious(X)))&... | old(paul) | [
"p9",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 664382739250004234080176
% SZS output start Proof for 664382739250004234080176
10. ! [X0] : ((~creative(X0) & curious(X0)) <=> quiet(X0)) [input p9]
16. ! [X0] : (~quiet(X0) <=> (curious(X0) & patient(X0))) [input p15]
24. ~curious(paul) | old(paul) [input p23]
25. ~old(paul) [input hypot... | 0 |
Everyone who is either strong or not generous is both creative and generous and vice versa.
Everyone who is both not old and rich is generous.
Everyone who is either not strong or not creative is either not funny or not strong.
Everyone who is both not brave and not rich is not brave or not rich.
Everyone who is strong... | Susan is quiet. | contradiction | (![X]:((strong(X)<~>~generous(X))<=>(creative(X)&generous(X))))&
(![X]:((~old(X)&rich(X))=>generous(X)))&
(![X]:((~strong(X)<~>~creative(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((~brave(X)&~rich(X))=>(~brave(X)|~rich(X))))&
(![X]:(strong(X)=>quiet(X)))&
(((rich(alice)<~>happy(alice)))=>((creative(alice)|calm(alice))))&
... | quiet(susan) | [
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4820656232398674454200059
% SZS output start Proof for 4820656232398674454200059
10. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~tall(X0) & funny(X0))) [input p9]
12. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> patient(X0)) [input p11]
13. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> ~quiet(X... | 0 |
If someone is both not tall and creative then someone is either not tall or quiet and vice versa.
If someone is either not humble or kind then someone is both calm and creative.
If someone is either not quiet or not calm then someone is either not quiet or old and vice versa.
If fred is not kind or patient then someone... | Paul is not humble. | neutral | ((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((~tall(X)<~>quiet(X)))))&
((?[X]:((~humble(X)<~>kind(X))))=>(?[X]:((calm(X)&creative(X)))))&
((?[X]:((~quiet(X)<~>~calm(X))))<=>(?[X]:((~quiet(X)<~>old(X)))))&
(((~kind(fred)|patient(fred)))<=>(?[X]:(curious(X))))&
((~rich(susan))<=>(?[X]:(~rich(X))))&
(![X]:(funny(X)<=>(~humbl... | ~humble(paul) | [] | null | 0 |
Everyone who is not creative or not brave is both calm and not quiet and vice versa.
Everyone who is either tall or not humble is both not wise and not old and vice versa.
Everyone who is not generous is not creative.
If someone is not brave then someone is both not creative and not curious and vice versa.
If susan is ... | Lucy is not kind. | neutral | (![X]:((~creative(X)|~brave(X))<=>(calm(X)&~quiet(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(~wise(X)&~old(X))))&
(![X]:(~generous(X)=>~creative(X)))&
((?[X]:(~brave(X)))<=>(?[X]:((~creative(X)&~curious(X)))))&
(((funny(susan)|~patient(susan)))<=>((~happy(mary)&~generous(mary))))&
(![X]:((happy(X)|patient(X))<=>calm(X)))&... | ~kind(lucy) | [] | null | 0 |
Everyone who is kind or not generous is either not generous or not happy. Everyone who is either happy or not funny is funny or not old. If mary is curious or rich then susan is not curious and vice versa. Everyone who is not kind is humble or tall and vice versa. Everyone who is not curious is either creative or quiet... | Susan is not calm. | neutral | (![X]:((kind(X)|~generous(X))=>(~generous(X)<~>~happy(X))))&
(![X]:((happy(X)<~>~funny(X))=>(funny(X)|~old(X))))&
(((curious(mary)|rich(mary)))<=>(~curious(susan)))&
(![X]:(~kind(X)<=>(humble(X)|tall(X))))&
(![X]:(~curious(X)<=>(creative(X)<~>quiet(X))))&
((?[X]:(curious(X)))<=>(?[X]:(~curious(X))))&
(![X]:((~curious(X... | ~calm(susan) | [] | null | 0 |
Everyone who is patient or not creative is not wise. If someone is not strong then someone is not quiet or not strong. Everyone who is calm is either not rich or quiet. Everyone who is either not kind or happy is not strong. If someone is not strong then someone is tall and vice versa. Everyone who is both not old and ... | Susan is tall. | neutral | (![X]:((patient(X)|~creative(X))=>~wise(X)))&
((?[X]:(~strong(X)))=>(?[X]:((~quiet(X)|~strong(X)))))&
(![X]:(calm(X)=>(~rich(X)<~>quiet(X))))&
(![X]:((~kind(X)<~>happy(X))=>~strong(X)))&
((?[X]:(~strong(X)))<=>(?[X]:(tall(X))))&
(![X]:((~old(X)&~curious(X))<=>(kind(X)|~rich(X))))&
(![X]:((~generous(X)|wise(X))<=>quiet(... | tall(susan) | [] | null | 0 |
Everyone who is either rich or not calm is either not patient or not wise.
If paul is either humble or not humble then someone is patient and vice versa.
Everyone who is not wise is either not generous or not kind and vice versa.
If someone is not curious then someone is not old or not strong and vice versa.
Everyone w... | Paul is not humble. | entailment | (![X]:((rich(X)<~>~calm(X))=>(~patient(X)<~>~wise(X))))&
(((humble(paul)<~>~humble(paul)))<=>(?[X]:(patient(X))))&
(![X]:(~wise(X)<=>(~generous(X)<~>~kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((~old(X)|~strong(X)))))&
(![X]:((tall(X)|creative(X))<=>(strong(X)&humble(X))))&
(![X]:((~calm(X)&curious(X))=>~kind(X)))&
(![X... | ~humble(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5483812551860847616227987
% SZS output start Proof for 5483812551860847616227987
11. ! [X0] : ((quiet(X0) & ~humble(X0)) <=> (~old(X0) <~> old(X0))) [input p10]
23. humble(paul) [input hypothesis]
54. ! [X0] : (((quiet(X0) & ~humble(X0)) | ((~old(X0) | ~old(X0)) & (old(X0) | old(X0)))) & ... | 0 |
If someone is funny then mary is not wise or rich and vice versa.
Everyone who is not brave or strong is both not brave and old and vice versa.
If paul is both patient and rich then mary is both humble and curious and vice versa.
If susan is not brave then someone is not humble or rich.
If someone is either not quiet o... | Lucy is old. | contradiction | ((?[X]:(funny(X)))<=>((~wise(mary)|rich(mary))))&
(![X]:((~brave(X)|strong(X))<=>(~brave(X)&old(X))))&
(((patient(paul)&rich(paul)))<=>((humble(mary)&curious(mary))))&
((~brave(susan))=>(?[X]:((~humble(X)|rich(X)))))&
((?[X]:((~quiet(X)<~>calm(X))))=>(?[X]:((~old(X)<~>creative(X)))))&
(![X]:(creative(X)=>(creative(X)|~... | old(lucy) | [
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4909592220015744813170064
% SZS output start Proof for 4909592220015744813170064
8. ! [X0] : ((~old(X0) & ~curious(X0)) <=> (curious(X0) | ~patient(X0))) [input p7]
21. ~patient(lucy) [input p20]
24. old(lucy) [input hypothesis]
51. ! [X0] : (((~old(X0) & ~curious(X0)) | (~curious(X0) & p... | 0 |
Everyone who is rich or funny is not wise.
Everyone who is either strong or quiet is either rich or kind.
Everyone who is both old and patient is not tall and vice versa.
Everyone who is not curious is not funny and vice versa.
If susan is either kind or not brave then mary is creative or not patient.
If john is not cu... | Mary is not funny. | entailment | (![X]:((rich(X)|funny(X))=>~wise(X)))&
(![X]:((strong(X)<~>quiet(X))=>(rich(X)<~>kind(X))))&
(![X]:((old(X)&patient(X))<=>~tall(X)))&
(![X]:(~curious(X)<=>~funny(X)))&
(((kind(susan)<~>~brave(susan)))=>((creative(mary)|~patient(mary))))&
((~curious(john))=>(?[X]:((patient(X)|~rich(X)))))&
(![X]:(rich(X)=>(old(X)<~>~fun... | ~funny(mary) | [
"p0",
"p2",
"p9",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 50178130217740065051687
% SZS output start Proof for 50178130217740065051687
1. ! [X0] : ((funny(X0) | rich(X0)) => ~wise(X0)) [input p0]
3. ! [X0] : ((patient(X0) & old(X0)) <=> ~tall(X0)) [input p2]
10. ! [X0] : ((tall(X0) | ~old(X0)) => wise(X0)) [input p9]
11. ! [X0] : ((~happy(X0) | ... | 0 |
If susan is either tall or not curious then susan is both not patient and not happy.
Everyone who is generous is tall and vice versa.
If fred is not brave then someone is either creative or not happy and vice versa.
If paul is both not strong and not old then someone is not tall or not brave and vice versa.
Everyone wh... | Susan is not kind. | entailment | (((tall(susan)<~>~curious(susan)))=>((~patient(susan)&~happy(susan))))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))... | ~kind(susan) | [
"p2",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 321243405283158867806090
% SZS output start Proof for 321243405283158867806090
3. ~brave(fred) <=> ? [X0] : (creative(X0) <~> ~happy(X0)) [input p2]
5. ! [X0] : (~rich(X0) <=> strong(X0)) [input p4]
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> quiet(X0)) [input p7]
11. ? [X0] : ~happy(X0) => ... | 0 |
If paul is either not creative or not wise then mary is not happy or not tall. Everyone who is patient or happy is either brave or not calm. Everyone who is old is either not quiet or calm and vice versa. Everyone who is either not creative or generous is funny or generous and vice versa. Everyone who is either not hum... | Susan is not rich. | contradiction | (((~creative(paul)<~>~wise(paul)))=>((~happy(mary)|~tall(mary))))&
(![X]:((patient(X)|happy(X))=>(brave(X)<~>~calm(X))))&
(![X]:(old(X)<=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(funny(X)|generous(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(humble(X)&~humble(X))))&
(![X]:((generous(X)&~generous(X))<=... | ~rich(susan) | [
"p3",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2046338995050568077510546
% SZS output start Proof for 2046338995050568077510546
4. ! [X0] : ((~creative(X0) <~> generous(X0)) <=> (generous(X0) | funny(X0))) [input p3]
6. ! [X0] : ((~generous(X0) & generous(X0)) <=> (funny(X0) | calm(X0))) [input p5]
8. ? [X0] : (~humble(X0) <~> creativ... | 0 |
Everyone who is either brave or quiet is both not strong and not tall and vice versa.
Everyone who is either patient or curious is not old and vice versa.
Everyone who is creative or funny is either curious or happy.
If someone is not kind then john is tall and vice versa.
If someone is not strong or humble then john i... | Susan is not patient. | neutral | (![X]:((brave(X)<~>quiet(X))<=>(~strong(X)&~tall(X))))&
(![X]:((patient(X)<~>curious(X))<=>~old(X)))&
(![X]:((creative(X)|funny(X))=>(curious(X)<~>happy(X))))&
((?[X]:(~kind(X)))<=>(tall(john)))&
((?[X]:((~strong(X)|humble(X))))=>((~wise(john)|~happy(john))))&
(![X]:((~strong(X)&humble(X))=>(strong(X)<~>rich(X))))&
((?... | ~patient(susan) | [] | null | 0 |
If someone is both tall and wise then someone is not quiet.
If someone is patient or tall then someone is both not tall and not strong.
Everyone who is not wise or not patient is either old or humble.
Everyone who is not kind is either humble or not creative and vice versa.
Everyone who is either not old or not brave i... | Paul is not wise. | neutral | ((?[X]:((tall(X)&wise(X))))=>(?[X]:(~quiet(X))))&
((?[X]:((patient(X)|tall(X))))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((~wise(X)|~patient(X))=>(old(X)<~>humble(X))))&
(![X]:(~kind(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~old(X)<~>~brave(X))=>(curious(X)|tall(X))))&
(![X]:((~humble(X)<~>happy(X))<=>(~brave(X)&~wis... | ~wise(paul) | [] | null | 0 |
If alice is either curious or humble then someone is either not calm or quiet.
Everyone who is strong is not patient or rich and vice versa.
Everyone who is both kind and not creative is both not patient and not curious and vice versa.
If someone is not brave then someone is either wise or not creative.
Everyone who is... | Susan is patient. | entailment | (((curious(alice)<~>humble(alice)))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:(strong(X)<=>(~patient(X)|rich(X))))&
(![X]:((kind(X)&~creative(X))<=>(~patient(X)&~curious(X))))&
((?[X]:(~brave(X)))=>(?[X]:((wise(X)<~>~creative(X)))))&
(![X]:((~old(X)<~>~humble(X))=>calm(X)))&
(![X]:((~calm(X)&wise(X))<=>(funny(X)&generous... | patient(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5837206989501232248430159
% SZS output start Proof for 5837206989501232248430159
16. ! [X0] : (~patient(X0) => (~happy(X0) & happy(X0))) [input p15]
24. ~patient(susan) [input hypothesis]
40. ! [X0] : ((~happy(X0) & happy(X0)) | patient(X0)) [ennf transformation 16]
128. happy(X0) | patie... | 0 |
Everyone who is both not wise and not generous is both brave and generous and vice versa.
Everyone who is quiet or not creative is old.
If someone is either not rich or not calm then someone is not calm or not curious.
Everyone who is both not tall and wise is wise and vice versa.
Everyone who is quiet or happy is funn... | Mary is not generous. | contradiction | (![X]:((~wise(X)&~generous(X))<=>(brave(X)&generous(X))))&
(![X]:((quiet(X)|~creative(X))=>old(X)))&
((?[X]:((~rich(X)<~>~calm(X))))=>(?[X]:((~calm(X)|~curious(X)))))&
(![X]:((~tall(X)&wise(X))<=>wise(X)))&
(![X]:((quiet(X)|happy(X))=>funny(X)))&
((?[X]:(funny(X)))=>(?[X]:((calm(X)<~>~brave(X)))))&
(![X]:((~happy(X)<~>... | ~generous(mary) | [
"p0",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7978994356332424275477384
% SZS output start Proof for 7978994356332424275477384
1. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> (generous(X0) & brave(X0))) [input p0]
4. ! [X0] : ((wise(X0) & ~tall(X0)) <=> wise(X0)) [input p3]
15. ! [X0] : ((~calm(X0) & ~brave(X0)) <=> (wise(X0) | ~kind(X0... | 0 |
Everyone who is both creative and not kind is not old or curious.
If someone is creative or not wise then someone is both strong and old and vice versa.
Everyone who is not patient or happy is both not rich and not quiet and vice versa.
Everyone who is kind is generous.
If john is happy then someone is either not kind ... | Susan is not curious. | entailment | (![X]:((creative(X)&~kind(X))=>(~old(X)|curious(X))))&
((?[X]:((creative(X)|~wise(X))))<=>(?[X]:((strong(X)&old(X)))))&
(![X]:((~patient(X)|happy(X))<=>(~rich(X)&~quiet(X))))&
(![X]:(kind(X)=>generous(X)))&
((happy(john))<=>(?[X]:((~kind(X)<~>~generous(X)))))&
((~quiet(john))=>(?[X]:((~strong(X)<~>brave(X)))))&
((?[X]:... | ~curious(susan) | [
"p2",
"p3",
"p6",
"p8",
"p11",
"p12",
"p13",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7241089899594006898660069
% SZS output start Proof for 7241089899594006898660069
3. ! [X0] : ((happy(X0) | ~patient(X0)) <=> (~quiet(X0) & ~rich(X0))) [input p2]
4. ! [X0] : (kind(X0) => generous(X0)) [input p3]
7. ? [X0] : generous(X0) => (~calm(susan) | ~patient(susan)) [input p6]
9. ! ... | 0 |
If someone is strong then someone is either not tall or not quiet and vice versa.
If lucy is tall then someone is creative or not kind and vice versa.
If someone is either calm or humble then someone is curious.
Everyone who is not tall is old or not generous and vice versa.
If john is quiet or not tall then john is cr... | Susan is old. | neutral | ((?[X]:(strong(X)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
((tall(lucy))<=>(?[X]:((creative(X)|~kind(X)))))&
((?[X]:((calm(X)<~>humble(X))))=>(?[X]:(curious(X))))&
(![X]:(~tall(X)<=>(old(X)|~generous(X))))&
(((quiet(john)|~tall(john)))<=>((creative(john)|~tall(john))))&
((?[X]:((curious(X)&quiet(X))))<=>(?[X]:((~kind(X)|w... | old(susan) | [] | null | 0 |
Everyone who is calm or not curious is both not brave and not patient and vice versa. Everyone who is either quiet or not old is creative or not tall. Everyone who is both quiet and not quiet is both generous and not happy. If paul is not calm then someone is either humble or strong and vice versa. Everyone who is not ... | Susan is not happy. | neutral | (![X]:((calm(X)|~curious(X))<=>(~brave(X)&~patient(X))))&
(![X]:((quiet(X)<~>~old(X))=>(creative(X)|~tall(X))))&
(![X]:((quiet(X)&~quiet(X))=>(generous(X)&~happy(X))))&
((~calm(paul))<=>(?[X]:((humble(X)<~>strong(X)))))&
(![X]:((~calm(X)|~rich(X))=>(~old(X)<~>~curious(X))))&
((~funny(alice))<=>(~brave(fred)))&
(((quiet... | ~happy(susan) | [] | null | 0 |
If mary is not generous or not quiet then someone is either old or patient and vice versa.
If someone is old or not curious then someone is calm.
Everyone who is tall or patient is both not curious and not calm.
If mary is either not kind or happy then susan is not quiet.
Everyone who is either funny or not patient is ... | Fred is not funny. | entailment | (((~generous(mary)|~quiet(mary)))<=>(?[X]:((old(X)<~>patient(X)))))&
((?[X]:((old(X)|~curious(X))))=>(?[X]:(calm(X))))&
(![X]:((tall(X)|patient(X))=>(~curious(X)&~calm(X))))&
(((~kind(mary)<~>happy(mary)))=>(~quiet(susan)))&
(![X]:((funny(X)<~>~patient(X))<=>(~quiet(X)|strong(X))))&
(![X]:((happy(X)|strong(X))<=>(brave... | ~funny(fred) | [
"p1",
"p2",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7462328568658476095794520
% SZS output start Proof for 7462328568658476095794520
2. ? [X0] : (~curious(X0) | old(X0)) => ? [X0] : calm(X0) [input p1]
3. ! [X0] : ((patient(X0) | tall(X0)) => (~calm(X0) & ~curious(X0))) [input p2]
9. ! [X0] : ((curious(X0) | ~creative(X0)) => (~funny(X0) |... | 0 |
If lucy is not patient then lucy is both not funny and calm. If fred is tall or not generous then lucy is not brave and vice versa. Everyone who is funny or not tall is either not creative or generous and vice versa. If fred is wise then susan is either curious or not strong. Everyone who is both patient and strong is ... | Lucy is not tall. | contradiction | ((~patient(lucy))=>((~funny(lucy)&calm(lucy))))&
(((tall(fred)|~generous(fred)))<=>(~brave(lucy)))&
(![X]:((funny(X)|~tall(X))<=>(~creative(X)<~>generous(X))))&
((wise(fred))=>((curious(susan)<~>~strong(susan))))&
(![X]:((patient(X)&strong(X))=>(patient(X)|tall(X))))&
((?[X]:(~rich(X)))=>((~humble(susan)<~>~happy(susan... | ~tall(lucy) | [
"p1",
"p2",
"p9",
"p11",
"p12",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4413189128032147638822647
% SZS output start Proof for 4413189128032147638822647
2. (~generous(fred) | tall(fred)) <=> ~brave(lucy) [input p1]
3. ! [X0] : ((~tall(X0) | funny(X0)) <=> (~creative(X0) <~> generous(X0))) [input p2]
10. ! [X0] : ((old(X0) & ~calm(X0)) <=> (wise(X0) | ~brave(X... | 0 |
Everyone who is not generous is not tall or curious and vice versa.
If someone is quiet then someone is generous.
Everyone who is not happy or patient is either kind or old and vice versa.
Everyone who is both funny and not strong is both happy and not kind and vice versa.
If fred is not old or curious then alice is ei... | Fred is not curious. | entailment | (![X]:(~generous(X)<=>(~tall(X)|curious(X))))&
((?[X]:(quiet(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)|patient(X))<=>(kind(X)<~>old(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)&~kind(X))))&
(((~old(fred)|curious(fred)))=>((~wise(alice)<~>~creative(alice))))&
((?[X]:((~generous(X)|~funny(X))))<=>((patient(fred)&... | ~curious(fred) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3832851215401332512581858
% SZS output start Proof for 3832851215401332512581858
1. ! [X0] : (~generous(X0) <=> (curious(X0) | ~tall(X0))) [input p0]
6. ? [X0] : (~funny(X0) | ~generous(X0)) <=> (~patient(fred) & patient(fred)) [input p5]
24. curious(fred) [input hypothesis]
35. ! [X0] : ... | 0 |
Everyone who is not generous or generous is both calm and creative and vice versa. Everyone who is not rich or not creative is creative or humble and vice versa. If fred is old or creative then someone is generous. Everyone who is both old and patient is both not old and not humble and vice versa. If someone is both ha... | Paul is not rich. | entailment | (![X]:((~generous(X)|generous(X))<=>(calm(X)&creative(X))))&
(![X]:((~rich(X)|~creative(X))<=>(creative(X)|humble(X))))&
(((old(fred)|creative(fred)))=>(?[X]:(generous(X))))&
(![X]:((old(X)&patient(X))<=>(~old(X)&~humble(X))))&
((?[X]:((happy(X)&calm(X))))=>(?[X]:((brave(X)&old(X)))))&
((?[X]:((~creative(X)|~kind(X))))... | ~rich(paul) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 379499227302728314265192
% SZS output start Proof for 379499227302728314265192
1. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (creative(X0) & calm(X0))) [input p0]
2. ! [X0] : ((~creative(X0) | ~rich(X0)) <=> (humble(X0) | creative(X0))) [input p1]
25. rich(paul) [input hypothesis]
37. !... | 0 |
If lucy is not rich then someone is strong and vice versa. Everyone who is both not brave and tall is curious or not tall. If someone is not brave then someone is either tall or not strong. Everyone who is either happy or not funny is kind or not old and vice versa. Everyone who is both not tall and rich is not calm or... | Susan is not old. | contradiction | ((~rich(lucy))<=>(?[X]:(strong(X))))&
(![X]:((~brave(X)&tall(X))=>(curious(X)|~tall(X))))&
((?[X]:(~brave(X)))=>(?[X]:((tall(X)<~>~strong(X)))))&
(![X]:((happy(X)<~>~funny(X))<=>(kind(X)|~old(X))))&
(![X]:((~tall(X)&rich(X))<=>(~calm(X)|happy(X))))&
(![X]:(~generous(X)<=>(creative(X)|~strong(X))))&
(![X]:(happy(X)<=>(~... | ~old(susan) | [
"p3",
"p4",
"p6",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 706183391681723995432549
% SZS output start Proof for 706183391681723995432549
4. ! [X0] : ((happy(X0) <~> ~funny(X0)) <=> (~old(X0) | kind(X0))) [input p3]
5. ! [X0] : ((rich(X0) & ~tall(X0)) <=> (happy(X0) | ~calm(X0))) [input p4]
7. ! [X0] : (happy(X0) <=> (tall(X0) | ~funny(X0))) [inp... | 0 |
Everyone who is both brave and not curious is either not patient or not tall.
If someone is not patient then paul is not tall or not funny.
Everyone who is either quiet or not curious is not strong and vice versa.
Everyone who is not humble or not brave is either humble or not happy and vice versa.
If mary is not gener... | Mary is rich. | neutral | (![X]:((brave(X)&~curious(X))=>(~patient(X)<~>~tall(X))))&
((?[X]:(~patient(X)))=>((~tall(paul)|~funny(paul))))&
(![X]:((quiet(X)<~>~curious(X))<=>~strong(X)))&
(![X]:((~humble(X)|~brave(X))<=>(humble(X)<~>~happy(X))))&
((~generous(mary))=>(rich(mary)))&
((?[X]:((~wise(X)&~old(X))))=>(tall(alice)))&
((?[X]:(wise(X)))<=... | rich(mary) | [] | null | 0 |
If lucy is either curious or kind then someone is curious and vice versa. If someone is not curious then mary is not patient. Everyone who is either not humble or not brave is both happy and not creative and vice versa. If someone is either not brave or wise then susan is both not wise and kind and vice versa. Everyone... | Susan is not kind. | contradiction | (((curious(lucy)<~>kind(lucy)))<=>(?[X]:(curious(X))))&
((?[X]:(~curious(X)))=>(~patient(mary)))&
(![X]:((~humble(X)<~>~brave(X))<=>(happy(X)&~creative(X))))&
((?[X]:((~brave(X)<~>wise(X))))<=>((~wise(susan)&kind(susan))))&
(![X]:(~creative(X)<=>(~quiet(X)|humble(X))))&
(![X]:((~old(X)&~calm(X))<=>old(X)))&
(![X]:((~qu... | ~kind(susan) | [
"p3",
"p4",
"p5",
"p8",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1029030111337400799854665
% SZS output start Proof for 1029030111337400799854665
4. ? [X0] : (~brave(X0) <~> wise(X0)) <=> (kind(susan) & ~wise(susan)) [input p3]
5. ! [X0] : (~creative(X0) <=> (humble(X0) | ~quiet(X0))) [input p4]
6. ! [X0] : ((~calm(X0) & ~old(X0)) <=> old(X0)) [input p... | 0 |
If mary is creative or not funny then someone is either quiet or not rich and vice versa.
If paul is both not brave and creative then john is wise and vice versa.
If someone is not funny then someone is not curious or old and vice versa.
Everyone who is either not brave or strong is happy or not wise and vice versa.
Ev... | John is not calm. | entailment | (((creative(mary)|~funny(mary)))<=>(?[X]:((quiet(X)<~>~rich(X)))))&
(((~brave(paul)&creative(paul)))<=>(wise(john)))&
((?[X]:(~funny(X)))<=>(?[X]:((~curious(X)|old(X)))))&
(![X]:((~brave(X)<~>strong(X))<=>(happy(X)|~wise(X))))&
(![X]:((happy(X)<~>~curious(X))=>(~rich(X)&kind(X))))&
(![X]:((~patient(X)&creative(X))<=>(~... | ~calm(john) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 435020053216072057779987
% SZS output start Proof for 435020053216072057779987
2. (creative(paul) & ~brave(paul)) <=> wise(john) [input p1]
3. ? [X0] : ~funny(X0) <=> ? [X0] : (old(X0) | ~curious(X0)) [input p2]
4. ! [X0] : ((~brave(X0) <~> strong(X0)) <=> (~wise(X0) | happy(X0))) [input ... | 0 |
Everyone who is not brave is rich and vice versa.
If susan is rich then someone is either wise or not creative and vice versa.
If susan is humble or patient then someone is both happy and not curious.
If someone is not calm then mary is either curious or not patient.
Everyone who is creative or not patient is either br... | Mary is creative. | entailment | (![X]:(~brave(X)<=>rich(X)))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patient(mary))))&
(![X]:((creative(X)|~patient(X))=>(brave(X)<~>creative(X))))&
(![X]:((generous(X)|humble(X))=>tall(X)))&
(![X]:... | creative(mary) | [
"p0",
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3536715064873650063602602
% SZS output start Proof for 3536715064873650063602602
1. ! [X0] : (~brave(X0) <=> rich(X0)) [input p0]
5. ! [X0] : ((~patient(X0) | creative(X0)) => (brave(X0) <~> creative(X0))) [input p4]
7. ! [X0] : ((~old(X0) | ~rich(X0)) <=> patient(X0)) [input p6]
9. ! [X0... | 0 |
If someone is both not tall and not old then paul is not tall and vice versa. Everyone who is either not creative or wise is not old. Everyone who is either not brave or not creative is happy and vice versa. If someone is either not calm or tall then someone is either kind or not tall. Everyone who is funny is not rich... | Fred is brave. | contradiction | ((?[X]:((~tall(X)&~old(X))))<=>(~tall(paul)))&
(![X]:((~creative(X)<~>wise(X))=>~old(X)))&
(![X]:((~brave(X)<~>~creative(X))<=>happy(X)))&
((?[X]:((~calm(X)<~>tall(X))))=>(?[X]:((kind(X)<~>~tall(X)))))&
(![X]:(funny(X)<=>(~rich(X)|rich(X))))&
(![X]:((curious(X)<~>patient(X))<=>~creative(X)))&
(![X]:(~kind(X)=>(humble(X... | brave(fred) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4021934157769171848557840
% SZS output start Proof for 4021934157769171848557840
11. (~brave(fred) & patient(fred)) <=> (kind(john) | happy(john)) [input p10]
14. ! [X0] : (~happy(X0) => (~tall(X0) & kind(X0))) [input p13]
24. brave(fred) [input hypothesis]
31. ! [X0] : ((~tall(X0) & kind... | 0 |
Everyone who is generous or patient is both not calm and curious.
If someone is either not curious or strong then susan is either quiet or not curious.
Everyone who is not brave is either not funny or not patient and vice versa.
Everyone who is both not humble and not brave is not patient and vice versa.
If someone is ... | Lucy is brave. | contradiction | (![X]:((generous(X)|patient(X))=>(~calm(X)&curious(X))))&
((?[X]:((~curious(X)<~>strong(X))))=>((quiet(susan)<~>~curious(susan))))&
(![X]:(~brave(X)<=>(~funny(X)<~>~patient(X))))&
(![X]:((~humble(X)&~brave(X))<=>~patient(X)))&
((?[X]:(~brave(X)))=>(?[X]:((brave(X)<~>~creative(X)))))&
(![X]:(brave(X)=>(~humble(X)&~curio... | brave(lucy) | [
"p0",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2237775814999236997676117
% SZS output start Proof for 2237775814999236997676117
1. ! [X0] : ((patient(X0) | generous(X0)) => (curious(X0) & ~calm(X0))) [input p0]
4. ! [X0] : ((~brave(X0) & ~humble(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (brave(X0) => (~curious(X0) & ~humble(X0))) ... | 0 |
Everyone who is both not generous and strong is both not calm and not funny and vice versa.
Everyone who is not rich is either kind or not wise and vice versa.
If someone is generous or not quiet then someone is both happy and old.
Everyone who is not tall is not funny and vice versa.
Everyone who is both kind and old ... | Paul is not kind. | neutral | (![X]:((~generous(X)&strong(X))<=>(~calm(X)&~funny(X))))&
(![X]:(~rich(X)<=>(kind(X)<~>~wise(X))))&
((?[X]:((generous(X)|~quiet(X))))=>(?[X]:((happy(X)&old(X)))))&
(![X]:(~tall(X)<=>~funny(X)))&
(![X]:((kind(X)&old(X))<=>(creative(X)|wise(X))))&
(![X]:((humble(X)|~brave(X))<=>(~patient(X)|~wise(X))))&
(((~patient(paul)... | ~kind(paul) | [] | null | 0 |
If paul is not calm then someone is patient and vice versa.
Everyone who is curious is kind and vice versa.
Everyone who is both quiet and wise is both brave and not creative and vice versa.
Everyone who is both not humble and quiet is both curious and kind.
If someone is rich then someone is funny or calm and vice ver... | John is patient. | entailment | ((~calm(paul))<=>(?[X]:(patient(X))))&
(![X]:(curious(X)<=>kind(X)))&
(![X]:((quiet(X)&wise(X))<=>(brave(X)&~creative(X))))&
(![X]:((~humble(X)&quiet(X))=>(curious(X)&kind(X))))&
((?[X]:(rich(X)))<=>(?[X]:((funny(X)|calm(X)))))&
(![X]:((~strong(X)&kind(X))=>(~wise(X)&~humble(X))))&
(![X]:((rich(X)&strong(X))=>(old(X)&~... | patient(john) | [
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 462171889818675430659551
% SZS output start Proof for 462171889818675430659551
9. (~funny(mary) & brave(mary)) <=> ? [X0] : kind(X0) [input p8]
11. ! [X0] : (~kind(X0) => (rich(X0) <~> brave(X0))) [input p10]
12. ! [X0] : ((funny(X0) | ~brave(X0)) <=> (funny(X0) <~> brave(X0))) [input p11... | 0 |
Everyone who is rich or curious is either calm or funny. Everyone who is both patient and not quiet is not curious and vice versa. Everyone who is wise is not rich or not calm and vice versa. If someone is both rich and not curious then john is both brave and creative. If john is either generous or not happy then lucy ... | John is wise. | contradiction | (![X]:((rich(X)|curious(X))=>(calm(X)<~>funny(X))))&
(![X]:((patient(X)&~quiet(X))<=>~curious(X)))&
(![X]:(wise(X)<=>(~rich(X)|~calm(X))))&
((?[X]:((rich(X)&~curious(X))))=>((brave(john)&creative(john))))&
(((generous(john)<~>~happy(john)))<=>((old(lucy)&happy(lucy))))&
(![X]:((rich(X)|generous(X))<=>(humble(X)|~genero... | wise(john) | [
"p0",
"p2",
"p3",
"p6",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9025351647159083188973117
% SZS output start Proof for 9025351647159083188973117
1. ! [X0] : ((curious(X0) | rich(X0)) => (calm(X0) <~> funny(X0))) [input p0]
3. ! [X0] : (wise(X0) <=> (~calm(X0) | ~rich(X0))) [input p2]
4. ? [X0] : (~curious(X0) & rich(X0)) => (creative(john) & brave(joh... | 0 |
Everyone who is brave or humble is not humble.
Everyone who is either not curious or patient is not patient or strong.
If alice is both strong and curious then someone is either not humble or calm and vice versa.
If susan is either patient or creative then alice is happy and vice versa.
If someone is calm then someone ... | John is creative. | entailment | (![X]:((brave(X)|humble(X))=>~humble(X)))&
(![X]:((~curious(X)<~>patient(X))=>(~patient(X)|strong(X))))&
(((strong(alice)&curious(alice)))<=>(?[X]:((~humble(X)<~>calm(X)))))&
(((patient(susan)<~>creative(susan)))<=>(happy(alice)))&
((?[X]:(calm(X)))<=>(?[X]:((~wise(X)|brave(X)))))&
((~generous(lucy))=>((~generous(alice... | creative(john) | [
"p0",
"p7",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5975306925782213532754752
% SZS output start Proof for 5975306925782213532754752
1. ! [X0] : ((humble(X0) | brave(X0)) => ~humble(X0)) [input p0]
8. ? [X0] : funny(X0) => ? [X0] : (~brave(X0) & ~rich(X0)) [input p7]
10. ! [X0] : ((~strong(X0) & ~brave(X0)) => (~humble(X0) <~> ~rich(X0))) ... | 0 |
If paul is brave or creative then lucy is either not tall or not brave.
If paul is wise or kind then someone is both curious and happy and vice versa.
If paul is either not strong or not old then fred is not patient and vice versa.
If john is patient then susan is either not rich or not creative and vice versa.
Everyon... | Mary is not creative. | entailment | (((brave(paul)|creative(paul)))=>((~tall(lucy)<~>~brave(lucy))))&
(((wise(paul)|kind(paul)))<=>(?[X]:((curious(X)&happy(X)))))&
(((~strong(paul)<~>~old(paul)))<=>(~patient(fred)))&
((patient(john))<=>((~rich(susan)<~>~creative(susan))))&
(![X]:((~curious(X)<~>funny(X))<=>(happy(X)|generous(X))))&
(![X]:(generous(X)<=>(... | ~creative(mary) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8583047769108525969474155
% SZS output start Proof for 8583047769108525969474155
6. ! [X0] : (generous(X0) <=> (creative(X0) | strong(X0))) [input p5]
7. ! [X0] : (~calm(X0) <=> (calm(X0) & generous(X0))) [input p6]
23. creative(mary) [input hypothesis]
41. ! [X0] : ((generous(X0) | (~cre... | 0 |
Everyone who is either generous or not patient is patient.
Everyone who is old is either not brave or funny.
Everyone who is wise is wise or patient.
Everyone who is not funny or creative is not creative or not old.
Everyone who is funny or strong is strong and vice versa.
If alice is tall then mary is patient.
Everyon... | Mary is tall. | neutral | (![X]:((generous(X)<~>~patient(X))=>patient(X)))&
(![X]:(old(X)=>(~brave(X)<~>funny(X))))&
(![X]:(wise(X)=>(wise(X)|patient(X))))&
(![X]:((~funny(X)|creative(X))=>(~creative(X)|~old(X))))&
(![X]:((funny(X)|strong(X))<=>strong(X)))&
((tall(alice))=>(patient(mary)))&
(![X]:((~humble(X)&~creative(X))=>humble(X)))&
(![X]:(... | tall(mary) | [] | null | 0 |
Everyone who is both not funny and old is either wise or not strong and vice versa.
Everyone who is not old or patient is generous.
If someone is not curious then paul is patient or calm.
Everyone who is patient is both not quiet and old.
If someone is both not happy and not kind then someone is both not calm and patie... | Alice is funny. | neutral | (![X]:((~funny(X)&old(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((~old(X)|patient(X))=>generous(X)))&
((?[X]:(~curious(X)))=>((patient(paul)|calm(paul))))&
(![X]:(patient(X)=>(~quiet(X)&old(X))))&
((?[X]:((~happy(X)&~kind(X))))<=>(?[X]:((~calm(X)&patient(X)))))&
((?[X]:(strong(X)))<=>((humble(lucy)<~>creative(lucy))))&
(![... | funny(alice) | [] | null | 0 |
If lucy is not patient then someone is calm and vice versa. Everyone who is not generous is not calm. Everyone who is patient or not calm is not old or old and vice versa. If john is both rich and not wise then someone is happy. Everyone who is both kind and not tall is tall. If someone is both not patient and quiet th... | Lucy is curious. | contradiction | ((~patient(lucy))<=>(?[X]:(calm(X))))&
(![X]:(~generous(X)=>~calm(X)))&
(![X]:((patient(X)|~calm(X))<=>(~old(X)|old(X))))&
(((rich(john)&~wise(john)))=>(?[X]:(happy(X))))&
(![X]:((kind(X)&~tall(X))=>tall(X)))&
((?[X]:((~patient(X)&quiet(X))))=>(generous(mary)))&
(((~curious(john)&humble(john)))<=>((~calm(john)&quiet(jo... | curious(lucy) | [
"p0",
"p2",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2834562850175122085955335
% SZS output start Proof for 2834562850175122085955335
1. ~patient(lucy) <=> ? [X0] : calm(X0) [input p0]
3. ! [X0] : ((~calm(X0) | patient(X0)) <=> (old(X0) | ~old(X0))) [input p2]
5. ! [X0] : ((~tall(X0) & kind(X0)) => tall(X0)) [input p4]
8. ! [X0] : ((wise(X0... | 0 |
Everyone who is either not strong or not curious is either rich or not quiet and vice versa. Everyone who is not tall or not curious is both quiet and strong and vice versa. Everyone who is tall or not rich is either old or not calm. Everyone who is either kind or not creative is both rich and not creative and vice ver... | Mary is wise. | contradiction | (![X]:((~strong(X)<~>~curious(X))<=>(rich(X)<~>~quiet(X))))&
(![X]:((~tall(X)|~curious(X))<=>(quiet(X)&strong(X))))&
(![X]:((tall(X)|~rich(X))=>(old(X)<~>~calm(X))))&
(![X]:((kind(X)<~>~creative(X))<=>(rich(X)&~creative(X))))&
(![X]:((wise(X)&funny(X))<=>(~calm(X)<~>creative(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~bra... | wise(mary) | [
"p1",
"p2",
"p6",
"p7",
"p8",
"p11",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 975414577254300879229428
% SZS output start Proof for 975414577254300879229428
2. ! [X0] : ((~curious(X0) | ~tall(X0)) <=> (strong(X0) & quiet(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | tall(X0)) => (old(X0) <~> ~calm(X0))) [input p2]
7. ! [X0] : (~curious(X0) <=> (quiet(X0) <~> calm(X0))... | 0 |
If lucy is not patient or curious then lucy is calm. Everyone who is brave or wise is not tall or patient and vice versa. Everyone who is not wise or not generous is both not wise and not funny. If someone is not kind then someone is both quiet and not quiet and vice versa. Everyone who is both not wise and not calm is... | Fred is not brave. | contradiction | (((~patient(lucy)|curious(lucy)))=>(calm(lucy)))&
(![X]:((brave(X)|wise(X))<=>(~tall(X)|patient(X))))&
(![X]:((~wise(X)|~generous(X))=>(~wise(X)&~funny(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((quiet(X)&~quiet(X)))))&
(![X]:((~wise(X)&~calm(X))<=>(~tall(X)&~happy(X))))&
((?[X]:(quiet(X)))=>((strong(fred)<~>brave(fred))))&
((... | ~brave(fred) | [
"p2",
"p4",
"p5",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3756703155341831905401548
% SZS output start Proof for 3756703155341831905401548
3. ! [X0] : ((~generous(X0) | ~wise(X0)) => (~funny(X0) & ~wise(X0))) [input p2]
5. ! [X0] : ((~calm(X0) & ~wise(X0)) <=> (~happy(X0) & ~tall(X0))) [input p4]
6. ? [X0] : quiet(X0) => (strong(fred) <~> brave(... | 0 |
Everyone who is either humble or creative is either quiet or creative.
Everyone who is generous is not happy and vice versa.
Everyone who is both tall and not generous is creative.
If someone is not creative or rich then someone is both generous and tall.
If someone is either not generous or not humble then someone is ... | Alice is creative. | contradiction | (![X]:((humble(X)<~>creative(X))=>(quiet(X)<~>creative(X))))&
(![X]:(generous(X)<=>~happy(X)))&
(![X]:((tall(X)&~generous(X))=>creative(X)))&
((?[X]:((~creative(X)|rich(X))))=>(?[X]:((generous(X)&tall(X)))))&
((?[X]:((~generous(X)<~>~humble(X))))=>(?[X]:(wise(X))))&
((?[X]:((patient(X)<~>creative(X))))=>(?[X]:((old(X)|... | creative(alice) | [
"p8",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7442161661986122290389682
% SZS output start Proof for 7442161661986122290389682
9. ! [X0] : ((~tall(X0) <~> ~generous(X0)) <=> (creative(X0) | ~curious(X0))) [input p8]
15. ! [X0] : ((patient(X0) & ~creative(X0)) <=> ~generous(X0)) [input p14]
19. tall(alice) & wise(alice) [input p18]
25... | 0 |
If someone is both not generous and not old then mary is both not funny and wise. Everyone who is not humble is either kind or not funny. Everyone who is both not funny and generous is not funny and vice versa. Everyone who is not quiet or funny is happy. If someone is either humble or not funny then someone is not fun... | Alice is kind. | entailment | ((?[X]:((~generous(X)&~old(X))))=>((~funny(mary)&wise(mary))))&
(![X]:(~humble(X)=>(kind(X)<~>~funny(X))))&
(![X]:((~funny(X)&generous(X))<=>~funny(X)))&
(![X]:((~quiet(X)|funny(X))=>happy(X)))&
((?[X]:((humble(X)<~>~funny(X))))=>(?[X]:(~funny(X))))&
((?[X]:((generous(X)<~>happy(X))))<=>(?[X]:((~funny(X)<~>happy(X)))))... | kind(alice) | [
"p1",
"p2",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5107761771217647235782797
% SZS output start Proof for 5107761771217647235782797
2. ! [X0] : (~humble(X0) => (kind(X0) <~> ~funny(X0))) [input p1]
3. ! [X0] : ((generous(X0) & ~funny(X0)) <=> ~funny(X0)) [input p2]
5. ? [X0] : (humble(X0) <~> ~funny(X0)) => ? [X0] : ~funny(X0) [input p4]
... | 0 |
Everyone who is either not rich or rich is not kind and vice versa. Everyone who is not funny is either not kind or humble and vice versa. If mary is both kind and not calm then paul is both quiet and calm. If mary is either not strong or old then someone is either brave or funny. If someone is happy then someone is ei... | Paul is old. | entailment | (![X]:((~rich(X)<~>rich(X))<=>~kind(X)))&
(![X]:(~funny(X)<=>(~kind(X)<~>humble(X))))&
(((kind(mary)&~calm(mary)))=>((quiet(paul)&calm(paul))))&
(((~strong(mary)<~>old(mary)))=>(?[X]:((brave(X)<~>funny(X)))))&
((?[X]:(happy(X)))=>(?[X]:((~quiet(X)<~>strong(X)))))&
(![X]:(~generous(X)<=>funny(X)))&
(![X]:((strong(X)|hap... | old(paul) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9189957604400127589735196
% SZS output start Proof for 9189957604400127589735196
1. ! [X0] : ((~rich(X0) <~> rich(X0)) <=> ~kind(X0)) [input p0]
16. ! [X0] : ((~calm(X0) & ~kind(X0)) <=> (calm(X0) | old(X0))) [input p15]
24. ~old(paul) [input hypothesis]
36. ! [X0] : ((((~rich(X0) | rich(... | 0 |
Everyone who is both not happy and tall is either not kind or not curious and vice versa. If susan is quiet or rich then paul is either humble or not strong. If someone is patient or generous then alice is both generous and tall. If someone is either not curious or funny then someone is either not humble or not rich an... | Alice is not humble. | entailment | (![X]:((~happy(X)&tall(X))<=>(~kind(X)<~>~curious(X))))&
(((quiet(susan)|rich(susan)))=>((humble(paul)<~>~strong(paul))))&
((?[X]:((patient(X)|generous(X))))=>((generous(alice)&tall(alice))))&
((?[X]:((~curious(X)<~>funny(X))))<=>(?[X]:((~humble(X)<~>~rich(X)))))&
(![X]:(patient(X)<=>(creative(X)&~humble(X))))&
((?[X]:... | ~humble(alice) | [
"p4",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 780368919008548595759088
% SZS output start Proof for 780368919008548595759088
5. ! [X0] : (patient(X0) <=> (~humble(X0) & creative(X0))) [input p4]
7. ! [X0] : ((~wise(X0) | funny(X0)) <=> wise(X0)) [input p6]
13. ! [X0] : ((patient(X0) & old(X0)) <=> (~patient(X0) <~> rich(X0))) [input ... | 0 |
If someone is not brave or quiet then someone is either funny or strong.
Everyone who is brave or humble is calm and vice versa.
If someone is not humble then alice is creative.
Everyone who is not humble is strong or kind.
If mary is both rich and not old then alice is both rich and old and vice versa.
If someone is b... | Mary is humble. | entailment | ((?[X]:((~brave(X)|quiet(X))))=>(?[X]:((funny(X)<~>strong(X)))))&
(![X]:((brave(X)|humble(X))<=>calm(X)))&
((?[X]:(~humble(X)))=>(creative(alice)))&
(![X]:(~humble(X)=>(strong(X)|kind(X))))&
(((rich(mary)&~old(mary)))<=>((rich(alice)&old(alice))))&
((?[X]:((~tall(X)&happy(X))))=>(?[X]:((~old(X)|tall(X)))))&
((~patient(... | humble(mary) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1173199697694928769166599
% SZS output start Proof for 1173199697694928769166599
3. ? [X0] : ~humble(X0) => creative(alice) [input p2]
9. ? [X0] : (creative(X0) | ~calm(X0)) <=> (calm(lucy) & ~calm(lucy)) [input p8]
23. ~humble(mary) [input hypothesis]
28. creative(alice) | ! [X0] : humbl... | 0 |
If lucy is creative then someone is either not kind or not rich.
If someone is patient then someone is either patient or funny and vice versa.
Everyone who is not funny or not kind is either curious or strong and vice versa.
Everyone who is both quiet and funny is not tall or not rich.
Everyone who is both happy and wi... | John is not strong. | entailment | ((creative(lucy))=>(?[X]:((~kind(X)<~>~rich(X)))))&
((?[X]:(patient(X)))<=>(?[X]:((patient(X)<~>funny(X)))))&
(![X]:((~funny(X)|~kind(X))<=>(curious(X)<~>strong(X))))&
(![X]:((quiet(X)&funny(X))=>(~tall(X)|~rich(X))))&
(![X]:((happy(X)&wise(X))=>(kind(X)&humble(X))))&
(![X]:((happy(X)&creative(X))=>(~rich(X)&tall(X))))... | ~strong(john) | [
"p2",
"p4",
"p8",
"p10",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 19993155335769952541893
% SZS output start Proof for 19993155335769952541893
3. ! [X0] : ((~kind(X0) | ~funny(X0)) <=> (curious(X0) <~> strong(X0))) [input p2]
5. ! [X0] : ((wise(X0) & happy(X0)) => (humble(X0) & kind(X0))) [input p4]
9. ! [X0] : ((~creative(X0) & happy(X0)) <=> (calm(X0)... | 0 |
If susan is not funny or quiet then someone is both quiet and kind. Everyone who is quiet is both humble and curious. If john is not creative then someone is both kind and wise and vice versa. Everyone who is both kind and creative is wise or not quiet and vice versa. Everyone who is both generous and funny is not old.... | Paul is not generous. | contradiction | (((~funny(susan)|quiet(susan)))=>(?[X]:((quiet(X)&kind(X)))))&
(![X]:(quiet(X)=>(humble(X)&curious(X))))&
((~creative(john))<=>(?[X]:((kind(X)&wise(X)))))&
(![X]:((kind(X)&creative(X))<=>(wise(X)|~quiet(X))))&
(![X]:((generous(X)&funny(X))=>~old(X)))&
(![X]:((strong(X)&~rich(X))<=>(~generous(X)|~kind(X))))&
((?[X]:(~ca... | ~generous(paul) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2965885251672246803613391
% SZS output start Proof for 2965885251672246803613391
2. ! [X0] : (quiet(X0) => (curious(X0) & humble(X0))) [input p1]
3. ~creative(john) <=> ? [X0] : (wise(X0) & kind(X0)) [input p2]
4. ! [X0] : ((creative(X0) & kind(X0)) <=> (~quiet(X0) | wise(X0))) [input p3]... | 0 |
Everyone who is either brave or not kind is either happy or not kind and vice versa.
Everyone who is both happy and not quiet is not old or not tall.
If john is either rich or not brave then mary is not brave.
Everyone who is tall is both not happy and generous and vice versa.
If someone is not kind then fred is wise o... | Lucy is not wise. | entailment | (![X]:((brave(X)<~>~kind(X))<=>(happy(X)<~>~kind(X))))&
(![X]:((happy(X)&~quiet(X))=>(~old(X)|~tall(X))))&
(((rich(john)<~>~brave(john)))=>(~brave(mary)))&
(![X]:(tall(X)<=>(~happy(X)&generous(X))))&
((?[X]:(~kind(X)))=>((wise(fred)|~creative(fred))))&
(![X]:((~creative(X)<~>strong(X))<=>funny(X)))&
((?[X]:((~generous(... | ~wise(lucy) | [
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2346905029850558722982902
% SZS output start Proof for 2346905029850558722982902
8. ! [X0] : ((~tall(X0) | ~wise(X0)) => (~creative(X0) & ~curious(X0))) [input p7]
9. ! [X0] : ((~creative(X0) & wise(X0)) <=> (happy(X0) & ~patient(X0))) [input p8]
10. ? [X0] : (tall(X0) <~> ~quiet(X0)) <=>... | 0 |
Everyone who is patient or not patient is calm or tall.
Everyone who is both not rich and not humble is both generous and wise and vice versa.
Everyone who is generous is not curious and vice versa.
Everyone who is rich or brave is not happy and vice versa.
Everyone who is not quiet or not old is calm and vice versa.
I... | Paul is not brave. | entailment | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&wise(X))))&
(![X]:(generous(X)<=>~curious(X)))&
(![X]:((rich(X)|brave(X))<=>~happy(X)))&
(![X]:((~quiet(X)|~old(X))<=>calm(X)))&
(((~wise(john)|curious(john)))=>(?[X]:(~patient(X))))&
(((strong(paul)|old(paul)))<=>(~tall(p... | ~brave(paul) | [
"p0",
"p6",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4151591753620241780894773
% SZS output start Proof for 4151591753620241780894773
1. ! [X0] : ((~patient(X0) | patient(X0)) => (tall(X0) | calm(X0))) [input p0]
7. (old(paul) | strong(paul)) <=> ~tall(paul) [input p6]
11. ! [X0] : ((~humble(X0) | ~old(X0)) <=> funny(X0)) [input p10]
12. ? ... | 0 |
If susan is both not funny and generous then susan is both not humble and not rich and vice versa.
Everyone who is not strong or funny is either not curious or not wise.
If someone is both not generous and humble then someone is either funny or not old and vice versa.
Everyone who is tall or not wise is quiet or not hu... | Alice is not curious. | entailment | (((~funny(susan)&generous(susan)))<=>((~humble(susan)&~rich(susan))))&
(![X]:((~strong(X)|funny(X))=>(~curious(X)<~>~wise(X))))&
((?[X]:((~generous(X)&humble(X))))<=>(?[X]:((funny(X)<~>~old(X)))))&
(![X]:((tall(X)|~wise(X))<=>(quiet(X)|~humble(X))))&
(![X]:((curious(X)<~>wise(X))<=>~funny(X)))&
(![X]:((patient(X)&~tall... | ~curious(alice) | [
"p1",
"p4",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7552589034074084477612660
% SZS output start Proof for 7552589034074084477612660
2. ! [X0] : ((funny(X0) | ~strong(X0)) => (~curious(X0) <~> ~wise(X0))) [input p1]
5. ! [X0] : ((curious(X0) <~> wise(X0)) <=> ~funny(X0)) [input p4]
10. ? [X0] : kind(X0) => (wise(alice) & ~old(alice)) [inpu... | 0 |
Everyone who is wise or kind is either not wise or creative and vice versa. If paul is humble then someone is wise and vice versa. If susan is kind then susan is either tall or funny and vice versa. If someone is not rich then someone is not brave or old. If paul is not patient or humble then mary is both not strong an... | Paul is quiet. | entailment | (![X]:((wise(X)|kind(X))<=>(~wise(X)<~>creative(X))))&
((humble(paul))<=>(?[X]:(wise(X))))&
((kind(susan))<=>((tall(susan)<~>funny(susan))))&
((?[X]:(~rich(X)))=>(?[X]:((~brave(X)|old(X)))))&
(((~patient(paul)|humble(paul)))<=>((~strong(mary)&~quiet(mary))))&
(![X]:((creative(X)<~>kind(X))<=>(wise(X)<~>~patient(X))))&
... | quiet(paul) | [
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5977476706889913299163000
% SZS output start Proof for 5977476706889913299163000
13. ! [X0] : (~happy(X0) <=> (quiet(X0) & ~strong(X0))) [input p12]
17. ~happy(paul) [input p16]
25. ~quiet(paul) [input hypothesis]
56. ! [X0] : ((~happy(X0) | (~quiet(X0) | strong(X0))) & ((quiet(X0) & ~str... | 0 |
Everyone who is strong is both strong and not funny.
Everyone who is both not old and not quiet is strong.
If susan is brave then someone is not old or not calm and vice versa.
Everyone who is both creative and quiet is old or not quiet and vice versa.
Everyone who is not old or not calm is calm and vice versa.
Everyon... | Fred is not patient. | contradiction | (![X]:(strong(X)=>(strong(X)&~funny(X))))&
(![X]:((~old(X)&~quiet(X))=>strong(X)))&
((brave(susan))<=>(?[X]:((~old(X)|~calm(X)))))&
(![X]:((creative(X)&quiet(X))<=>(old(X)|~quiet(X))))&
(![X]:((~old(X)|~calm(X))<=>calm(X)))&
(![X]:((calm(X)|~strong(X))<=>(humble(X)<~>~generous(X))))&
(![X]:((~tall(X)&quiet(X))=>(~stron... | ~patient(fred) | [
"p3",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 16641320274503146311532
% SZS output start Proof for 16641320274503146311532
4. ! [X0] : ((quiet(X0) & creative(X0)) <=> (~quiet(X0) | old(X0))) [input p3]
14. ! [X0] : ((strong(X0) | ~wise(X0)) <=> (patient(X0) & ~strong(X0))) [input p13]
15. ! [X0] : ((quiet(X0) & funny(X0)) => (~strong... | 0 |
If fred is humble then someone is both not strong and not tall and vice versa.
If john is not wise or not patient then paul is humble or not patient.
If someone is either kind or not humble then someone is not happy or rich and vice versa.
If someone is either not rich or not creative then someone is kind and vice vers... | Susan is generous. | contradiction | ((humble(fred))<=>(?[X]:((~strong(X)&~tall(X)))))&
(((~wise(john)|~patient(john)))=>((humble(paul)|~patient(paul))))&
((?[X]:((kind(X)<~>~humble(X))))<=>(?[X]:((~happy(X)|rich(X)))))&
((?[X]:((~rich(X)<~>~creative(X))))<=>(?[X]:(kind(X))))&
((?[X]:(rich(X)))<=>((~funny(susan)<~>quiet(susan))))&
((?[X]:((~generous(X)|br... | generous(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4825898810885597324423340
% SZS output start Proof for 4825898810885597324423340
13. ? [X0] : generous(X0) <=> ? [X0] : (~brave(X0) & brave(X0)) [input p12]
24. generous(susan) [input hypothesis]
27. ? [X0] : generous(X0) <=> ? [X1] : (~brave(X1) & brave(X1)) [rectify 13]
66. (? [X0] : ge... | 0 |
Everyone who is old or curious is not old or not quiet.
If someone is either not patient or not generous then someone is rich.
If someone is creative then someone is tall and vice versa.
Everyone who is both tall and wise is strong or not happy.
Everyone who is both patient and not curious is both not strong and not cr... | Fred is wise. | contradiction | (![X]:((old(X)|curious(X))=>(~old(X)|~quiet(X))))&
((?[X]:((~patient(X)<~>~generous(X))))=>(?[X]:(rich(X))))&
((?[X]:(creative(X)))<=>(?[X]:(tall(X))))&
(![X]:((tall(X)&wise(X))=>(strong(X)|~happy(X))))&
(![X]:((patient(X)&~curious(X))<=>(~strong(X)&~creative(X))))&
(![X]:(humble(X)=>(funny(X)<~>brave(X))))&
(![X]:((~c... | wise(fred) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2924379155736180835210224
% SZS output start Proof for 2924379155736180835210224
16. ! [X0] : ((wise(X0) | ~rich(X0)) <=> ~rich(X0)) [input p15]
20. rich(fred) & calm(fred) [input p19]
25. wise(fred) [input hypothesis]
70. ! [X0] : (((wise(X0) | ~rich(X0)) | rich(X0)) & (~rich(X0) | (~wis... | 0 |
If susan is not curious or curious then someone is both tall and not rich.
If susan is not rich then mary is generous or curious.
If john is both not happy and not curious then alice is not humble.
Everyone who is not humble is both patient and tall and vice versa.
Everyone who is either curious or generous is both not... | Mary is kind. | entailment | (((~curious(susan)|curious(susan)))=>(?[X]:((tall(X)&~rich(X)))))&
((~rich(susan))=>((generous(mary)|curious(mary))))&
(((~happy(john)&~curious(john)))=>(~humble(alice)))&
(![X]:(~humble(X)<=>(patient(X)&tall(X))))&
(![X]:((curious(X)<~>generous(X))<=>(~strong(X)&brave(X))))&
(![X]:(generous(X)=>(~old(X)<~>curious(X)))... | kind(mary) | [
"p5",
"p6",
"p11",
"p12",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 105590306252451263458447
% SZS output start Proof for 105590306252451263458447
6. ! [X0] : (generous(X0) => (~old(X0) <~> curious(X0))) [input p5]
7. ! [X0] : ((creative(X0) <~> ~wise(X0)) <=> humble(X0)) [input p6]
12. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (~brave(X0) | wise(X0))) [... | 0 |
Everyone who is not strong or creative is wise and vice versa.
Everyone who is strong or curious is kind and vice versa.
If john is not happy then someone is both not creative and creative.
Everyone who is either not generous or not calm is either strong or old.
Everyone who is not tall is both not calm and not happy.
... | John is not funny. | neutral | (![X]:((~strong(X)|creative(X))<=>wise(X)))&
(![X]:((strong(X)|curious(X))<=>kind(X)))&
((~happy(john))=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:((~generous(X)<~>~calm(X))=>(strong(X)<~>old(X))))&
(![X]:(~tall(X)=>(~calm(X)&~happy(X))))&
((?[X]:((strong(X)<~>~patient(X))))=>(?[X]:((~tall(X)<~>humble(X)))))&
(![X]:(... | ~funny(john) | [] | null | 0 |
If someone is generous then lucy is either not rich or calm and vice versa. Everyone who is either humble or kind is not strong or kind and vice versa. If someone is not calm or not tall then mary is either not old or not rich. Everyone who is funny is both wise and not funny and vice versa. Everyone who is not kind is... | Mary is funny. | contradiction | ((?[X]:(generous(X)))<=>((~rich(lucy)<~>calm(lucy))))&
(![X]:((humble(X)<~>kind(X))<=>(~strong(X)|kind(X))))&
((?[X]:((~calm(X)|~tall(X))))=>((~old(mary)<~>~rich(mary))))&
(![X]:(funny(X)<=>(wise(X)&~funny(X))))&
(![X]:(~kind(X)<=>(~strong(X)<~>rich(X))))&
(((~generous(lucy)&~wise(lucy)))=>(?[X]:(patient(X))))&
(![X]:(... | funny(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1958142669287594984601171
% SZS output start Proof for 1958142669287594984601171
4. ! [X0] : (funny(X0) <=> (~funny(X0) & wise(X0))) [input p3]
24. funny(mary) [input hypothesis]
42. ! [X0] : ((funny(X0) | (funny(X0) | ~wise(X0))) & ((~funny(X0) & wise(X0)) | ~funny(X0))) [nnf transformat... | 0 |
Everyone who is not generous is rich and vice versa.
If someone is both funny and quiet then alice is not calm or creative.
If someone is generous or funny then someone is not tall or not creative and vice versa.
If susan is not rich then someone is either not tall or not rich.
If fred is calm or happy then mary is eit... | Fred is calm. | contradiction | (![X]:(~generous(X)<=>rich(X)))&
((?[X]:((funny(X)&quiet(X))))=>((~calm(alice)|creative(alice))))&
((?[X]:((generous(X)|funny(X))))<=>(?[X]:((~tall(X)|~creative(X)))))&
((~rich(susan))=>(?[X]:((~tall(X)<~>~rich(X)))))&
(((calm(fred)|happy(fred)))<=>((~generous(mary)<~>rich(mary))))&
(((wise(lucy)|~curious(lucy)))=>((ca... | calm(fred) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3209607367292622606704450
% SZS output start Proof for 3209607367292622606704450
1. ! [X0] : (~generous(X0) <=> rich(X0)) [input p0]
5. (happy(fred) | calm(fred)) <=> (~generous(mary) <~> rich(mary)) [input p4]
24. calm(fred) [input hypothesis]
39. ! [X0] : ((~generous(X0) | ~rich(X0)) & ... | 0 |
If someone is patient then susan is not happy and vice versa. Everyone who is brave or not patient is humble or not tall and vice versa. If fred is not tall or old then someone is creative or kind. If someone is either curious or not calm then paul is not funny or generous. Everyone who is not creative is quiet or crea... | John is not calm. | neutral | ((?[X]:(patient(X)))<=>(~happy(susan)))&
(![X]:((brave(X)|~patient(X))<=>(humble(X)|~tall(X))))&
(((~tall(fred)|old(fred)))=>(?[X]:((creative(X)|kind(X)))))&
((?[X]:((curious(X)<~>~calm(X))))=>((~funny(paul)|generous(paul))))&
(![X]:(~creative(X)=>(quiet(X)|creative(X))))&
(![X]:(~curious(X)=>~creative(X)))&
((?[X]:(~b... | ~calm(john) | [] | null | 0 |
If susan is not patient or humble then someone is not happy and vice versa. If someone is both not humble and not rich then alice is happy and vice versa. If someone is either strong or not humble then someone is not kind or kind and vice versa. If someone is not calm then lucy is not curious or creative and vice versa... | Mary is not old. | entailment | (((~patient(susan)|humble(susan)))<=>(?[X]:(~happy(X))))&
((?[X]:((~humble(X)&~rich(X))))<=>(happy(alice)))&
((?[X]:((strong(X)<~>~humble(X))))<=>(?[X]:((~kind(X)|kind(X)))))&
((?[X]:(~calm(X)))<=>((~curious(lucy)|creative(lucy))))&
(((tall(fred)<~>rich(fred)))=>((~calm(paul)<~>~patient(paul))))&
((?[X]:((quiet(X)<~>ta... | ~old(mary) | [
"p6",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 36930426730011870228226
% SZS output start Proof for 36930426730011870228226
7. ! [X0] : (brave(X0) <=> (tall(X0) & ~old(X0))) [input p6]
13. ! [X0] : ((wise(X0) & happy(X0)) <=> (~brave(X0) | wise(X0))) [input p12]
21. brave(mary) <~> ~happy(mary) [input p20]
25. old(mary) [input hypothe... | 0 |
If someone is either happy or rich then someone is strong. Everyone who is both not rich and rich is both generous and not strong. Everyone who is both quiet and not quiet is both not brave and strong and vice versa. If someone is generous then someone is both not strong and not tall and vice versa. If someone is not o... | Alice is strong. | contradiction | ((?[X]:((happy(X)<~>rich(X))))=>(?[X]:(strong(X))))&
(![X]:((~rich(X)&rich(X))=>(generous(X)&~strong(X))))&
(![X]:((quiet(X)&~quiet(X))<=>(~brave(X)&strong(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~strong(X)&~tall(X)))))&
((?[X]:((~old(X)|~funny(X))))<=>((~brave(alice)<~>~strong(alice))))&
((?[X]:(brave(X)))=>((curious(m... | strong(alice) | [
"p2",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3133703538168173829223293
% SZS output start Proof for 3133703538168173829223293
3. ! [X0] : ((~quiet(X0) & quiet(X0)) <=> (strong(X0) & ~brave(X0))) [input p2]
5. ? [X0] : (~funny(X0) | ~old(X0)) <=> (~brave(alice) <~> ~strong(alice)) [input p4]
7. ! [X0] : (old(X0) => wise(X0)) [input p... | 0 |
If paul is not patient or not humble then someone is tall or not quiet and vice versa.
Everyone who is either not generous or not creative is not funny or not old and vice versa.
Everyone who is either strong or not tall is old or creative and vice versa.
If someone is not creative then fred is both generous and not wi... | Fred is happy. | neutral | (((~patient(paul)|~humble(paul)))<=>(?[X]:((tall(X)|~quiet(X)))))&
(![X]:((~generous(X)<~>~creative(X))<=>(~funny(X)|~old(X))))&
(![X]:((strong(X)<~>~tall(X))<=>(old(X)|creative(X))))&
((?[X]:(~creative(X)))<=>((generous(fred)&~wise(fred))))&
(![X]:(~quiet(X)=>(~curious(X)|calm(X))))&
((~humble(lucy))<=>(?[X]:((~kind(X... | happy(fred) | [] | null | 0 |
Everyone who is both not patient and not curious is rich.
If someone is both humble and not creative then someone is both humble and happy.
Everyone who is either rich or old is not humble and vice versa.
If someone is both calm and not wise then someone is either not wise or quiet.
Everyone who is generous or not funn... | Susan is not curious. | contradiction | (![X]:((~patient(X)&~curious(X))=>rich(X)))&
((?[X]:((humble(X)&~creative(X))))=>(?[X]:((humble(X)&happy(X)))))&
(![X]:((rich(X)<~>old(X))<=>~humble(X)))&
((?[X]:((calm(X)&~wise(X))))=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((generous(X)|~funny(X))<=>(curious(X)|~curious(X))))&
((?[X]:((~curious(X)|~kind(X))))<=>(stron... | ~curious(susan) | [
"p4",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5768869443275348289427844
% SZS output start Proof for 5768869443275348289427844
5. ! [X0] : ((~funny(X0) | generous(X0)) <=> (~curious(X0) | curious(X0))) [input p4]
6. ? [X0] : (~kind(X0) | ~curious(X0)) <=> strong(mary) [input p5]
7. ! [X0] : ((funny(X0) <~> generous(X0)) <=> (~old(X0)... | 0 |
If alice is both not old and not quiet then someone is either not patient or old.
If someone is patient then fred is not kind and vice versa.
Everyone who is tall or quiet is either not kind or not rich.
Everyone who is either humble or not wise is either calm or not quiet and vice versa.
If someone is humble then fred... | John is rich. | contradiction | (((~old(alice)&~quiet(alice)))=>(?[X]:((~patient(X)<~>old(X)))))&
((?[X]:(patient(X)))<=>(~kind(fred)))&
(![X]:((tall(X)|quiet(X))=>(~kind(X)<~>~rich(X))))&
(![X]:((humble(X)<~>~wise(X))<=>(calm(X)<~>~quiet(X))))&
((?[X]:(humble(X)))=>((calm(fred)&rich(fred))))&
(![X]:((rich(X)|strong(X))=>(patient(X)<~>quiet(X))))&
((... | rich(john) | [
"p2",
"p5",
"p8",
"p10",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6674521280915249422157297
% SZS output start Proof for 6674521280915249422157297
3. ! [X0] : ((quiet(X0) | tall(X0)) => (~kind(X0) <~> ~rich(X0))) [input p2]
6. ! [X0] : ((strong(X0) | rich(X0)) => (patient(X0) <~> quiet(X0))) [input p5]
9. ? [X0] : wise(X0) => (~creative(john) & ~generou... | 0 |
If fred is both quiet and funny then alice is not funny. Everyone who is either not brave or happy is either not kind or old. Everyone who is either not funny or patient is both not old and not humble. Everyone who is both not old and not patient is not wise or not calm and vice versa. Everyone who is both happy and no... | Paul is not happy. | neutral | (((quiet(fred)&funny(fred)))=>(~funny(alice)))&
(![X]:((~brave(X)<~>happy(X))=>(~kind(X)<~>old(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~old(X)&~humble(X))))&
(![X]:((~old(X)&~patient(X))<=>(~wise(X)|~calm(X))))&
(![X]:((happy(X)&~calm(X))<=>(wise(X)&~humble(X))))&
((?[X]:((~wise(X)<~>~rich(X))))=>(funny(fred)))&
((?[X... | ~happy(paul) | [] | null | 0 |
If susan is both strong and not creative then someone is both not happy and creative.
Everyone who is both rich and not strong is both quiet and not funny.
Everyone who is calm or kind is calm and vice versa.
If john is brave then mary is tall.
Everyone who is both not generous and happy is either creative or not patie... | John is old. | contradiction | (((strong(susan)&~creative(susan)))=>(?[X]:((~happy(X)&creative(X)))))&
(![X]:((rich(X)&~strong(X))=>(quiet(X)&~funny(X))))&
(![X]:((calm(X)|kind(X))<=>calm(X)))&
((brave(john))=>(tall(mary)))&
(![X]:((~generous(X)&happy(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((creative(X)|generous(X))=>(~wise(X)&~brave(X))))&
(![X... | old(john) | [
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1703617759457350645664110
% SZS output start Proof for 1703617759457350645664110
6. ! [X0] : ((generous(X0) | creative(X0)) => (~brave(X0) & ~wise(X0))) [input p5]
7. ! [X0] : ((~tall(X0) | ~generous(X0)) <=> ~old(X0)) [input p6]
12. ! [X0] : ((~wise(X0) & brave(X0)) <=> (~wise(X0) | wise... | 0 |
If john is humble then someone is both patient and kind.
If paul is both not patient and kind then susan is either not tall or not patient and vice versa.
Everyone who is funny or not curious is funny and vice versa.
If someone is calm then someone is patient and vice versa.
Everyone who is both not patient and wise is... | Paul is wise. | contradiction | ((humble(john))=>(?[X]:((patient(X)&kind(X)))))&
(((~patient(paul)&kind(paul)))<=>((~tall(susan)<~>~patient(susan))))&
(![X]:((funny(X)|~curious(X))<=>funny(X)))&
((?[X]:(calm(X)))<=>(?[X]:(patient(X))))&
(![X]:((~patient(X)&wise(X))<=>(~old(X)&~kind(X))))&
((?[X]:((calm(X)<~>~patient(X))))=>(?[X]:((~funny(X)|kind(X)))... | wise(paul) | [
"p4",
"p7",
"p8",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2679874800294647609432841
% SZS output start Proof for 2679874800294647609432841
5. ! [X0] : ((wise(X0) & ~patient(X0)) <=> (~kind(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((~brave(X0) & rich(X0)) <=> (~rich(X0) <~> ~funny(X0))) [input p7]
9. ? [X0] : (~quiet(X0) | old(X0)) <=> ? [X0] : (f... | 0 |
If fred is either happy or humble then someone is brave.
Everyone who is strong is creative and vice versa.
Everyone who is rich is both generous and creative and vice versa.
If someone is not curious then alice is both not tall and not calm and vice versa.
If fred is both strong and rich then someone is funny.
Everyon... | Susan is brave. | contradiction | (((happy(fred)<~>humble(fred)))=>(?[X]:(brave(X))))&
(![X]:(strong(X)<=>creative(X)))&
(![X]:(rich(X)<=>(generous(X)&creative(X))))&
((?[X]:(~curious(X)))<=>((~tall(alice)&~calm(alice))))&
(((strong(fred)&rich(fred)))=>(?[X]:(funny(X))))&
(![X]:((~brave(X)&generous(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:((~wise(X)<~>~t... | brave(susan) | [
"p1",
"p5",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6553803874748298138967310
% SZS output start Proof for 6553803874748298138967310
2. ! [X0] : (strong(X0) <=> creative(X0)) [input p1]
6. ! [X0] : ((generous(X0) & ~brave(X0)) <=> (~funny(X0) <~> ~happy(X0))) [input p5]
12. ! [X0] : (~funny(X0) <=> (~rich(X0) & creative(X0))) [input p11]
1... | 0 |
Everyone who is not creative is not curious. Everyone who is curious is both not curious and rich. If alice is wise then someone is not strong and vice versa. If paul is either generous or not rich then someone is both calm and not curious. Everyone who is both not happy and not patient is either quiet or happy. Everyo... | Mary is not generous. | entailment | (![X]:(~creative(X)=>~curious(X)))&
(![X]:(curious(X)=>(~curious(X)&rich(X))))&
((wise(alice))<=>(?[X]:(~strong(X))))&
(((generous(paul)<~>~rich(paul)))=>(?[X]:((calm(X)&~curious(X)))))&
(![X]:((~happy(X)&~patient(X))=>(quiet(X)<~>happy(X))))&
(![X]:(~creative(X)<=>(~generous(X)&~wise(X))))&
((?[X]:((~curious(X)&funny(... | ~generous(mary) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1350507544213066013231548
% SZS output start Proof for 1350507544213066013231548
2. ! [X0] : (curious(X0) => (rich(X0) & ~curious(X0))) [input p1]
8. ! [X0] : (curious(X0) <=> (~quiet(X0) | generous(X0))) [input p7]
25. generous(mary) [input hypothesis]
30. ! [X0] : ((rich(X0) & ~curious(... | 0 |
If someone is both not quiet and not calm then mary is either not humble or not happy.
Everyone who is either quiet or kind is wise or not generous.
Everyone who is not generous is humble or kind and vice versa.
If alice is both calm and rich then alice is both generous and kind.
If someone is both strong and patient t... | Alice is not tall. | neutral | ((?[X]:((~quiet(X)&~calm(X))))=>((~humble(mary)<~>~happy(mary))))&
(![X]:((quiet(X)<~>kind(X))=>(wise(X)|~generous(X))))&
(![X]:(~generous(X)<=>(humble(X)|kind(X))))&
(((calm(alice)&rich(alice)))=>((generous(alice)&kind(alice))))&
((?[X]:((strong(X)&patient(X))))<=>(curious(susan)))&
(![X]:((~happy(X)&curious(X))<=>(ge... | ~tall(alice) | [] | null | 0 |
If someone is not wise then someone is happy or kind.
Everyone who is patient is both rich and happy and vice versa.
Everyone who is wise or not rich is either not old or not strong and vice versa.
Everyone who is not funny or funny is not quiet.
If someone is either curious or not generous then paul is both happy and ... | Lucy is not quiet. | entailment | ((?[X]:(~wise(X)))=>(?[X]:((happy(X)|kind(X)))))&
(![X]:(patient(X)<=>(rich(X)&happy(X))))&
(![X]:((wise(X)|~rich(X))<=>(~old(X)<~>~strong(X))))&
(![X]:((~funny(X)|funny(X))=>~quiet(X)))&
((?[X]:((curious(X)<~>~generous(X))))<=>((happy(paul)&~old(paul))))&
(![X]:((~kind(X)<~>brave(X))<=>rich(X)))&
(![X]:((quiet(X)&~qui... | ~quiet(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6292574583404951311333594
% SZS output start Proof for 6292574583404951311333594
4. ! [X0] : ((funny(X0) | ~funny(X0)) => ~quiet(X0)) [input p3]
25. quiet(lucy) [input hypothesis]
29. ! [X0] : (~quiet(X0) | (~funny(X0) & funny(X0))) [ennf transformation 4]
91. ~quiet(X0) | funny(X0) [cnf ... | 0 |
Everyone who is humble or not kind is both not quiet and not brave and vice versa.
If someone is either not patient or brave then someone is not happy.
If john is not strong then someone is both happy and patient.
If alice is both not wise and not patient then paul is happy.
If someone is both wise and not happy then s... | Alice is funny. | contradiction | (![X]:((humble(X)|~kind(X))<=>(~quiet(X)&~brave(X))))&
((?[X]:((~patient(X)<~>brave(X))))=>(?[X]:(~happy(X))))&
((~strong(john))=>(?[X]:((happy(X)&patient(X)))))&
(((~wise(alice)&~patient(alice)))=>(happy(paul)))&
((?[X]:((wise(X)&~happy(X))))<=>(?[X]:((~curious(X)|humble(X)))))&
(![X]:((~wise(X)<~>~creative(X))=>(old(... | funny(alice) | [
"p13",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1258569985392392421608612
% SZS output start Proof for 1258569985392392421608612
14. ! [X0] : (~strong(X0) => (~old(X0) & ~creative(X0))) [input p13]
17. strong(alice) <~> old(alice) [input p16]
21. funny(alice) <~> strong(alice) [input p20]
24. funny(alice) [input hypothesis]
43. ! [X0] ... | 0 |
Everyone who is either happy or not tall is both not calm and not kind.
Everyone who is not happy is calm and vice versa.
If someone is either calm or not calm then paul is either not old or not strong.
Everyone who is not generous is either rich or curious.
Everyone who is either not curious or wise is generous or not... | Susan is strong. | neutral | (![X]:((happy(X)<~>~tall(X))=>(~calm(X)&~kind(X))))&
(![X]:(~happy(X)<=>calm(X)))&
((?[X]:((calm(X)<~>~calm(X))))=>((~old(paul)<~>~strong(paul))))&
(![X]:(~generous(X)=>(rich(X)<~>curious(X))))&
(![X]:((~curious(X)<~>wise(X))<=>(generous(X)|~calm(X))))&
(((~kind(lucy)|~generous(lucy)))<=>(?[X]:((humble(X)<~>tall(X)))))... | strong(susan) | [] | null | 0 |
Everyone who is both strong and not wise is not quiet or strong.
Everyone who is both not humble and not quiet is either not funny or tall.
Everyone who is not creative is both not old and calm.
If someone is not tall then someone is not happy and vice versa.
If mary is either not happy or curious then john is not tall... | Mary is not rich. | contradiction | (![X]:((strong(X)&~wise(X))=>(~quiet(X)|strong(X))))&
(![X]:((~humble(X)&~quiet(X))=>(~funny(X)<~>tall(X))))&
(![X]:(~creative(X)=>(~old(X)&calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(~happy(X))))&
(((~happy(mary)<~>curious(mary)))<=>((~tall(john)|creative(john))))&
(((wise(fred)&~generous(fred)))<=>((~tall(paul)|~quiet(pa... | ~rich(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1468355078539803331759787
% SZS output start Proof for 1468355078539803331759787
22. rich(mary) [input p21]
25. ~rich(mary) [input hypothesis]
128. rich(mary) [cnf transformation 22]
132. ~rich(mary) [cnf transformation 25]
299. $false [subsumption resolution 132,128]
% SZS output end Pro... | 0 |
If alice is both not brave and kind then someone is generous.
If someone is wise or not calm then someone is both not curious and not strong.
Everyone who is both not calm and curious is either brave or not strong.
Everyone who is both not happy and not quiet is either not funny or rich.
Everyone who is both not tall a... | Lucy is not quiet. | neutral | (((~brave(alice)&kind(alice)))=>(?[X]:(generous(X))))&
((?[X]:((wise(X)|~calm(X))))=>(?[X]:((~curious(X)&~strong(X)))))&
(![X]:((~calm(X)&curious(X))=>(brave(X)<~>~strong(X))))&
(![X]:((~happy(X)&~quiet(X))=>(~funny(X)<~>rich(X))))&
(![X]:((~tall(X)&~brave(X))<=>(~old(X)|humble(X))))&
(((~curious(paul)&~strong(paul)))=... | ~quiet(lucy) | [] | null | 0 |
If someone is either funny or not calm then paul is both old and not kind and vice versa.
Everyone who is old or not wise is both creative and wise.
Everyone who is both curious and not old is not humble and vice versa.
Everyone who is happy or curious is either not calm or old.
If fred is calm or not calm then alice i... | Alice is not curious. | neutral | ((?[X]:((funny(X)<~>~calm(X))))<=>((old(paul)&~kind(paul))))&
(![X]:((old(X)|~wise(X))=>(creative(X)&wise(X))))&
(![X]:((curious(X)&~old(X))<=>~humble(X)))&
(![X]:((happy(X)|curious(X))=>(~calm(X)<~>old(X))))&
(((calm(fred)|~calm(fred)))=>(~tall(alice)))&
((tall(lucy))=>((~brave(paul)&~curious(paul))))&
(![X]:((humble(... | ~curious(alice) | [] | null | 0 |
If someone is creative then someone is not old or not happy and vice versa. If someone is not brave then paul is either not curious or not kind and vice versa. If alice is not wise then someone is either creative or not creative. If someone is not strong or patient then lucy is either not calm or generous and vice vers... | Mary is not kind. | contradiction | ((?[X]:(creative(X)))<=>(?[X]:((~old(X)|~happy(X)))))&
((?[X]:(~brave(X)))<=>((~curious(paul)<~>~kind(paul))))&
((~wise(alice))=>(?[X]:((creative(X)<~>~creative(X)))))&
((?[X]:((~strong(X)|patient(X))))<=>((~calm(lucy)<~>generous(lucy))))&
(![X]:((happy(X)&rich(X))=>(~quiet(X)&humble(X))))&
((?[X]:((tall(X)|calm(X))))<... | ~kind(mary) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6450472770092949384712988
% SZS output start Proof for 6450472770092949384712988
7. ! [X0] : ((~kind(X0) | wise(X0)) <=> (~tall(X0) & wise(X0))) [input p6]
12. ! [X0] : (tall(X0) <=> (~funny(X0) | ~kind(X0))) [input p11]
25. ~kind(mary) [input hypothesis]
59. ! [X0] : (((~kind(X0) | wise(... | 0 |
Everyone who is both not humble and not tall is not kind or humble and vice versa. Everyone who is both not rich and kind is either not rich or funny and vice versa. If someone is not tall then someone is not strong and vice versa. If someone is happy then someone is both quiet and not patient and vice versa. If someon... | Paul is not generous. | neutral | (![X]:((~humble(X)&~tall(X))<=>(~kind(X)|humble(X))))&
(![X]:((~rich(X)&kind(X))<=>(~rich(X)<~>funny(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(~strong(X))))&
((?[X]:(happy(X)))<=>(?[X]:((quiet(X)&~patient(X)))))&
((?[X]:(~curious(X)))<=>((~creative(alice)<~>funny(alice))))&
(((~happy(susan)<~>kind(susan)))<=>((~tall(susan)<~>... | ~generous(paul) | [] | null | 0 |
Everyone who is both not calm and not patient is not kind and vice versa. Everyone who is both not brave and not happy is either not patient or rich and vice versa. If someone is not old or not happy then paul is either not funny or patient. If someone is both curious and creative then someone is either not tall or str... | Lucy is not tall. | contradiction | (![X]:((~calm(X)&~patient(X))<=>~kind(X)))&
(![X]:((~brave(X)&~happy(X))<=>(~patient(X)<~>rich(X))))&
((?[X]:((~old(X)|~happy(X))))=>((~funny(paul)<~>patient(paul))))&
((?[X]:((curious(X)&creative(X))))<=>(?[X]:((~tall(X)<~>strong(X)))))&
(((curious(paul)|quiet(paul)))<=>(?[X]:((~humble(X)|old(X)))))&
(![X]:((~quiet(X)... | ~tall(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 698535471551689704228646
% SZS output start Proof for 698535471551689704228646
21. ~happy(lucy) & tall(lucy) [input p20]
25. ~tall(lucy) [input hypothesis]
129. tall(lucy) [cnf transformation 21]
133. ~tall(lucy) [cnf transformation 25]
315. $false [subsumption resolution 133,129]
% SZS o... | 0 |
Everyone who is either not wise or quiet is tall or not patient.
Everyone who is not calm is not patient.
Everyone who is not generous or not kind is not rich and vice versa.
If someone is either patient or not wise then john is not creative.
If paul is brave or wise then someone is kind and vice versa.
Everyone who is... | Susan is rich. | contradiction | (![X]:((~wise(X)<~>quiet(X))=>(tall(X)|~patient(X))))&
(![X]:(~calm(X)=>~patient(X)))&
(![X]:((~generous(X)|~kind(X))<=>~rich(X)))&
((?[X]:((patient(X)<~>~wise(X))))=>(~creative(john)))&
(((brave(paul)|wise(paul)))<=>(?[X]:(kind(X))))&
(![X]:((tall(X)<~>old(X))=>(~brave(X)&happy(X))))&
(![X]:((wise(X)&~quiet(X))=>(humb... | rich(susan) | [
"p2",
"p4",
"p11",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6209955061302297329972678
% SZS output start Proof for 6209955061302297329972678
3. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> ~rich(X0)) [input p2]
5. (wise(paul) | brave(paul)) <=> ? [X0] : kind(X0) [input p4]
12. ? [X0] : (brave(X0) | curious(X0)) <=> ~generous(susan) [input p11]
15. ! ... | 0 |
Everyone who is either patient or not strong is not quiet or happy and vice versa.
If john is not quiet or brave then someone is not humble or not brave and vice versa.
Everyone who is not calm or kind is both generous and humble and vice versa.
Everyone who is not wise or curious is happy and vice versa.
If paul is ei... | Lucy is generous. | entailment | (![X]:((patient(X)<~>~strong(X))<=>(~quiet(X)|happy(X))))&
(((~quiet(john)|brave(john)))<=>(?[X]:((~humble(X)|~brave(X)))))&
(![X]:((~calm(X)|kind(X))<=>(generous(X)&humble(X))))&
(![X]:((~wise(X)|curious(X))<=>happy(X)))&
(((patient(paul)<~>funny(paul)))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((strong(X)|~rich(X))=>(... | generous(lucy) | [
"p2",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3928408636759420023610745
% SZS output start Proof for 3928408636759420023610745
3. ! [X0] : ((kind(X0) | ~calm(X0)) <=> (humble(X0) & generous(X0))) [input p2]
24. kind(lucy) [input p23]
25. ~generous(lucy) [input hypothesis]
40. ! [X0] : (((kind(X0) | ~calm(X0)) | (~humble(X0) | ~genero... | 0 |
Everyone who is old is both not humble and brave and vice versa. Everyone who is kind is either creative or not patient and vice versa. If someone is both not curious and wise then lucy is happy and vice versa. If paul is either humble or not generous then alice is both not old and tall and vice versa. If someone is fu... | Alice is quiet. | neutral | (![X]:(old(X)<=>(~humble(X)&brave(X))))&
(![X]:(kind(X)<=>(creative(X)<~>~patient(X))))&
((?[X]:((~curious(X)&wise(X))))<=>(happy(lucy)))&
(((humble(paul)<~>~generous(paul)))<=>((~old(alice)&tall(alice))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:(~creative(X))))&
(![X]:((rich(X)|~rich(X))<=>~brave(X)))&
((?[X]:((kind(X)... | quiet(alice) | [] | null | 0 |
Everyone who is generous is patient.
If someone is both not brave and not wise then someone is both kind and rich and vice versa.
Everyone who is not creative is happy and vice versa.
Everyone who is both rich and not wise is either not old or generous.
If someone is either not old or not curious then someone is not ha... | Mary is happy. | neutral | (![X]:(generous(X)=>patient(X)))&
((?[X]:((~brave(X)&~wise(X))))<=>(?[X]:((kind(X)&rich(X)))))&
(![X]:(~creative(X)<=>happy(X)))&
(![X]:((rich(X)&~wise(X))=>(~old(X)<~>generous(X))))&
((?[X]:((~old(X)<~>~curious(X))))<=>(?[X]:(~happy(X))))&
((?[X]:(patient(X)))<=>(?[X]:((~rich(X)|creative(X)))))&
(((calm(paul)&~generou... | happy(mary) | [] | null | 0 |
Everyone who is generous or kind is not old. If someone is both not curious and not humble then susan is curious and vice versa. Everyone who is either funny or not rich is not wise and vice versa. Everyone who is both not rich and not tall is not creative or brave and vice versa. Everyone who is either rich or quiet i... | Mary is generous. | contradiction | (![X]:((generous(X)|kind(X))=>~old(X)))&
((?[X]:((~curious(X)&~humble(X))))<=>(curious(susan)))&
(![X]:((funny(X)<~>~rich(X))<=>~wise(X)))&
(![X]:((~rich(X)&~tall(X))<=>(~creative(X)|brave(X))))&
(![X]:((rich(X)<~>quiet(X))=>(strong(X)&~old(X))))&
((?[X]:((~creative(X)|rich(X))))<=>(?[X]:((~creative(X)&humble(X)))))&
(... | generous(mary) | [
"p0",
"p3",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5867367983011048900755482
% SZS output start Proof for 5867367983011048900755482
1. ! [X0] : ((kind(X0) | generous(X0)) => ~old(X0)) [input p0]
4. ! [X0] : ((~tall(X0) & ~rich(X0)) <=> (brave(X0) | ~creative(X0))) [input p3]
7. ! [X0] : (~patient(X0) <=> (~curious(X0) & ~creative(X0))) [i... | 0 |
Everyone who is rich or not quiet is either happy or patient.
If fred is calm then someone is both brave and quiet.
Everyone who is both kind and not humble is both not brave and not patient and vice versa.
Everyone who is old is brave or not funny.
If someone is either calm or humble then alice is happy or not funny.
... | Susan is not wise. | contradiction | (![X]:((rich(X)|~quiet(X))=>(happy(X)<~>patient(X))))&
((calm(fred))=>(?[X]:((brave(X)&quiet(X)))))&
(![X]:((kind(X)&~humble(X))<=>(~brave(X)&~patient(X))))&
(![X]:(old(X)=>(brave(X)|~funny(X))))&
((?[X]:((calm(X)<~>humble(X))))=>((happy(alice)|~funny(alice))))&
((?[X]:((happy(X)&tall(X))))=>((old(paul)|~generous(paul)... | ~wise(susan) | [
"p2",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"p13",
"p15",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9078780126599559495547382
% SZS output start Proof for 9078780126599559495547382
3. ! [X0] : ((~humble(X0) & kind(X0)) <=> (~patient(X0) & ~brave(X0))) [input p2]
7. ! [X0] : ((~calm(X0) & ~humble(X0)) <=> (~funny(X0) <~> strong(X0))) [input p6]
8. ! [X0] : (~old(X0) => patient(X0)) [inpu... | 0 |
Everyone who is calm or tall is strong and vice versa.
If someone is calm or not brave then lucy is not generous.
Everyone who is both not wise and not rich is not patient or humble and vice versa.
Everyone who is either not rich or happy is not kind or old and vice versa.
If someone is either not tall or wise then mar... | John is not calm. | entailment | (![X]:((calm(X)|tall(X))<=>strong(X)))&
((?[X]:((calm(X)|~brave(X))))=>(~generous(lucy)))&
(![X]:((~wise(X)&~rich(X))<=>(~patient(X)|humble(X))))&
(![X]:((~rich(X)<~>happy(X))<=>(~kind(X)|old(X))))&
((?[X]:((~tall(X)<~>wise(X))))=>((old(mary)|~generous(mary))))&
(![X]:((wise(X)&~old(X))=>(humble(X)|rich(X))))&
(![X]:(~... | ~calm(john) | [
"p0",
"p2",
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6684582511730935625802122
% SZS output start Proof for 6684582511730935625802122
1. ! [X0] : ((tall(X0) | calm(X0)) <=> strong(X0)) [input p0]
3. ! [X0] : ((~rich(X0) & ~wise(X0)) <=> (humble(X0) | ~patient(X0))) [input p2]
7. ! [X0] : (~strong(X0) <=> (curious(X0) | ~wise(X0))) [input p6... | 0 |
If john is not humble then someone is kind and vice versa.
If someone is not patient or funny then paul is not brave.
If paul is not rich or not happy then mary is either quiet or strong.
Everyone who is not old or old is both not brave and calm.
If lucy is not wise then someone is not wise or curious.
Everyone who is ... | Paul is patient. | neutral | ((~humble(john))<=>(?[X]:(kind(X))))&
((?[X]:((~patient(X)|funny(X))))=>(~brave(paul)))&
(((~rich(paul)|~happy(paul)))=>((quiet(mary)<~>strong(mary))))&
(![X]:((~old(X)|old(X))=>(~brave(X)&calm(X))))&
((~wise(lucy))=>(?[X]:((~wise(X)|curious(X)))))&
(![X]:((creative(X)<~>~calm(X))<=>rich(X)))&
(![X]:(creative(X)=>(~ric... | patient(paul) | [] | null | 0 |
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