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 not rich then someone is not happy or quiet.
Everyone who is both not funny and not tall is both happy and not old.
Everyone who is both quiet and not humble is not happy or old and vice versa.
Everyone who is both curious and rich is not wise and vice versa.
If alice is quiet or happy then alice is tall.... | Lucy is not rich. | contradiction | ((?[X]:(~rich(X)))=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:((~funny(X)&~tall(X))=>(happy(X)&~old(X))))&
(![X]:((quiet(X)&~humble(X))<=>(~happy(X)|old(X))))&
(![X]:((curious(X)&rich(X))<=>~wise(X)))&
(((quiet(alice)|happy(alice)))=>(tall(alice)))&
(![X]:((curious(X)|humble(X))<=>(creative(X)|old(X))))&
((?[X]:((~happy(X)... | ~rich(lucy) | [
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4748770068859007391702593
% SZS output start Proof for 4748770068859007391702593
11. ! [X0] : ((rich(X0) & happy(X0)) <=> (~old(X0) | ~generous(X0))) [input p10]
21. ~curious(lucy) & ~generous(lucy) [input p20]
24. ~rich(lucy) [input hypothesis]
56. ! [X0] : (((rich(X0) & happy(X0)) | (ol... | 0 |
Everyone who is either not kind or happy is either not calm or not brave.
If alice is not tall or not rich then someone is either rich or not humble.
If someone is either not kind or kind then someone is either kind or not tall and vice versa.
If someone is kind then someone is not strong and vice versa.
Everyone who i... | Paul is patient. | contradiction | (![X]:((~kind(X)<~>happy(X))=>(~calm(X)<~>~brave(X))))&
(((~tall(alice)|~rich(alice)))=>(?[X]:((rich(X)<~>~humble(X)))))&
((?[X]:((~kind(X)<~>kind(X))))<=>(?[X]:((kind(X)<~>~tall(X)))))&
((?[X]:(kind(X)))<=>(?[X]:(~strong(X))))&
(![X]:((rich(X)<~>~generous(X))<=>patient(X)))&
((?[X]:((tall(X)&~kind(X))))=>(?[X]:((funny... | patient(paul) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8872530277515017480520980
% SZS output start Proof for 8872530277515017480520980
5. ! [X0] : ((rich(X0) <~> ~generous(X0)) <=> patient(X0)) [input p4]
11. ! [X0] : (~generous(X0) <=> rich(X0)) [input p10]
22. patient(paul) [input hypothesis]
50. ! [X0] : ((((generous(X0) | ~rich(X0)) & (~... | 0 |
Everyone who is both not rich and not generous is either quiet or not tall and vice versa.
If someone is both not funny and curious then someone is both quiet and not humble and vice versa.
If fred is either strong or not creative then someone is patient or creative.
If susan is both not brave and wise then someone is ... | Paul is not old. | neutral | (![X]:((~rich(X)&~generous(X))<=>(quiet(X)<~>~tall(X))))&
((?[X]:((~funny(X)&curious(X))))<=>(?[X]:((quiet(X)&~humble(X)))))&
(((strong(fred)<~>~creative(fred)))=>(?[X]:((patient(X)|creative(X)))))&
(((~brave(susan)&wise(susan)))=>(?[X]:(calm(X))))&
(![X]:((wise(X)&generous(X))<=>(~quiet(X)&curious(X))))&
(((~quiet(fre... | ~old(paul) | [] | null | 0 |
Everyone who is both tall and not kind is either strong or not tall and vice versa.
Everyone who is both calm and not creative is either rich or not funny and vice versa.
If someone is quiet then paul is both rich and wise and vice versa.
If susan is humble then alice is creative or not strong and vice versa.
If someon... | Alice is creative. | contradiction | (![X]:((tall(X)&~kind(X))<=>(strong(X)<~>~tall(X))))&
(![X]:((calm(X)&~creative(X))<=>(rich(X)<~>~funny(X))))&
((?[X]:(quiet(X)))<=>((rich(paul)&wise(paul))))&
((humble(susan))<=>((creative(alice)|~strong(alice))))&
((?[X]:(patient(X)))=>(?[X]:((old(X)|~patient(X)))))&
(![X]:(funny(X)<=>(brave(X)|~creative(X))))&
((?[X... | creative(alice) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8600855458743788119213886
% SZS output start Proof for 8600855458743788119213886
4. humble(susan) <=> (~strong(alice) | creative(alice)) [input p3]
12. ! [X0] : (humble(X0) => ~humble(X0)) [input p11]
25. creative(alice) [input hypothesis]
30. ! [X0] : (~humble(X0) | ~humble(X0)) [ennf tr... | 0 |
Everyone who is both tall and not strong is both not brave and kind and vice versa.
If someone is kind or humble then someone is old.
Everyone who is both happy and curious is either not humble or calm.
Everyone who is quiet or happy is both not generous and tall.
Everyone who is either brave or curious is either not h... | John is not funny. | contradiction | (![X]:((tall(X)&~strong(X))<=>(~brave(X)&kind(X))))&
((?[X]:((kind(X)|humble(X))))=>(?[X]:(old(X))))&
(![X]:((happy(X)&curious(X))=>(~humble(X)<~>calm(X))))&
(![X]:((quiet(X)|happy(X))=>(~generous(X)&tall(X))))&
(![X]:((brave(X)<~>curious(X))=>(~happy(X)<~>kind(X))))&
((?[X]:(~patient(X)))<=>((~creative(alice)&~calm(al... | ~funny(john) | [
"p0",
"p3",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8555211754324755505515834
% SZS output start Proof for 8555211754324755505515834
1. ! [X0] : ((~strong(X0) & tall(X0)) <=> (kind(X0) & ~brave(X0))) [input p0]
4. ! [X0] : ((happy(X0) | quiet(X0)) => (tall(X0) & ~generous(X0))) [input p3]
10. ! [X0] : ((~happy(X0) & curious(X0)) <=> strong... | 0 |
If susan is either not generous or not patient then someone is either wise or not tall and vice versa.
Everyone who is brave or not patient is not generous.
Everyone who is not patient or not rich is both happy and not old and vice versa.
Everyone who is both not rich and not brave is not wise or rich.
If paul is kind ... | Paul is not rich. | entailment | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((brave(X)|~patient(X))=>~generous(X)))&
(![X]:((~patient(X)|~rich(X))<=>(happy(X)&~old(X))))&
(![X]:((~rich(X)&~brave(X))=>(~wise(X)|rich(X))))&
((kind(paul))=>((kind(paul)<~>~old(paul))))&
(![X]:((~patient(X)|rich(X))<=>(~patient(X)<~>~ca... | ~rich(paul) | [
"p1",
"p2",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4118088752108356216773417
% SZS output start Proof for 4118088752108356216773417
2. ! [X0] : ((~patient(X0) | brave(X0)) => ~generous(X0)) [input p1]
3. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> (~old(X0) & happy(X0))) [input p2]
6. ! [X0] : ((rich(X0) | ~patient(X0)) <=> (~patient(X0) <~>... | 0 |
If mary is either not curious or strong then someone is both calm and not kind and vice versa.
If someone is either tall or strong then someone is humble and vice versa.
Everyone who is not quiet or kind is happy or calm.
Everyone who is both not old and happy is both not curious and not creative and vice versa.
Everyo... | Mary is not patient. | entailment | (((~curious(mary)<~>strong(mary)))<=>(?[X]:((calm(X)&~kind(X)))))&
((?[X]:((tall(X)<~>strong(X))))<=>(?[X]:(humble(X))))&
(![X]:((~quiet(X)|kind(X))=>(happy(X)|calm(X))))&
(![X]:((~old(X)&happy(X))<=>(~curious(X)&~creative(X))))&
(![X]:((kind(X)|tall(X))=>(wise(X)<~>happy(X))))&
(![X]:((~humble(X)|funny(X))=>(~strong(X... | ~patient(mary) | [
"p7",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6966118470833318112372318
% SZS output start Proof for 6966118470833318112372318
8. (patient(mary) & ~humble(mary)) <=> (~patient(alice) | generous(alice)) [input p7]
16. ! [X0] : ((~humble(X0) & ~generous(X0)) <=> (tall(X0) | ~tall(X0))) [input p15]
18. ~old(alice) & patient(alice) [inpu... | 0 |
If lucy is either not humble or not happy then fred is not brave or not funny. If fred is quiet then john is either rich or not generous. If john is generous then someone is old or not rich. Everyone who is both quiet and curious is not patient and vice versa. Everyone who is not funny or happy is not generous. If some... | Lucy is not happy. | contradiction | (((~humble(lucy)<~>~happy(lucy)))=>((~brave(fred)|~funny(fred))))&
((quiet(fred))=>((rich(john)<~>~generous(john))))&
((generous(john))=>(?[X]:((old(X)|~rich(X)))))&
(![X]:((quiet(X)&curious(X))<=>~patient(X)))&
(![X]:((~funny(X)|happy(X))=>~generous(X)))&
((?[X]:((quiet(X)|~humble(X))))<=>(?[X]:(funny(X))))&
(![X]:((h... | ~happy(lucy) | [
"p3",
"p4",
"p6",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9024806141240165689680645
% SZS output start Proof for 9024806141240165689680645
4. ! [X0] : ((curious(X0) & quiet(X0)) <=> ~patient(X0)) [input p3]
5. ! [X0] : ((happy(X0) | ~funny(X0)) => ~generous(X0)) [input p4]
7. ! [X0] : ((~curious(X0) | happy(X0)) <=> (creative(X0) | ~brave(X0))) ... | 0 |
Everyone who is both funny and generous is not creative and vice versa.
If someone is rich then susan is either not humble or not generous.
Everyone who is both strong and brave is strong or not brave.
If mary is rich then someone is patient.
If someone is both rich and not tall then john is either not strong or not cr... | Fred is not funny. | neutral | (![X]:((funny(X)&generous(X))<=>~creative(X)))&
((?[X]:(rich(X)))=>((~humble(susan)<~>~generous(susan))))&
(![X]:((strong(X)&brave(X))=>(strong(X)|~brave(X))))&
((rich(mary))=>(?[X]:(patient(X))))&
((?[X]:((rich(X)&~tall(X))))=>((~strong(john)<~>~creative(john))))&
(![X]:(~happy(X)=>(~tall(X)|~rich(X))))&
(![X]:((~quie... | ~funny(fred) | [] | null | 0 |
Everyone who is not funny or not creative is both creative and not kind.
If someone is generous or not calm then someone is creative or not curious.
If fred is not tall then john is either curious or funny.
Everyone who is either not patient or not strong is curious and vice versa.
If susan is rich then someone is eith... | Fred is not funny. | entailment | (![X]:((~funny(X)|~creative(X))=>(creative(X)&~kind(X))))&
((?[X]:((generous(X)|~calm(X))))=>(?[X]:((creative(X)|~curious(X)))))&
((~tall(fred))=>((curious(john)<~>funny(john))))&
(![X]:((~patient(X)<~>~strong(X))<=>curious(X)))&
((rich(susan))=>(?[X]:((rich(X)<~>~rich(X)))))&
(((tall(mary)&~tall(mary)))=>(calm(john)))... | ~funny(fred) | [
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2383613328953434683575795
% SZS output start Proof for 2383613328953434683575795
16. ! [X0] : (happy(X0) <=> ~funny(X0)) [input p15]
22. generous(fred) & happy(fred) [input p21]
25. funny(fred) [input hypothesis]
70. ! [X0] : ((happy(X0) | funny(X0)) & (~funny(X0) | ~happy(X0))) [nnf tran... | 0 |
Everyone who is either calm or strong is not rich.
If someone is both curious and not generous then someone is either not strong or calm.
If someone is both strong and wise then someone is both curious and not funny.
Everyone who is either not kind or happy is creative or not wise and vice versa.
If susan is quiet then... | Fred is not generous. | contradiction | (![X]:((calm(X)<~>strong(X))=>~rich(X)))&
((?[X]:((curious(X)&~generous(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
((?[X]:((strong(X)&wise(X))))=>(?[X]:((curious(X)&~funny(X)))))&
(![X]:((~kind(X)<~>happy(X))<=>(creative(X)|~wise(X))))&
((quiet(susan))=>(?[X]:((~funny(X)&~patient(X)))))&
((?[X]:(~strong(X)))<=>((~calm(al... | ~generous(fred) | [
"p0",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7296984912602704007155949
% SZS output start Proof for 7296984912602704007155949
1. ! [X0] : ((calm(X0) <~> strong(X0)) => ~rich(X0)) [input p0]
8. ! [X0] : (~generous(X0) <=> (~strong(X0) | ~calm(X0))) [input p7]
13. ! [X0] : ((~wise(X0) <~> wise(X0)) <=> (rich(X0) | ~calm(X0))) [input p... | 0 |
Everyone who is creative is old or humble.
Everyone who is both not rich and not strong is either humble or not quiet and vice versa.
Everyone who is both not quiet and not patient is generous and vice versa.
If someone is not generous then lucy is both not brave and funny and vice versa.
If fred is either humble or no... | Fred is not happy. | neutral | (![X]:(creative(X)=>(old(X)|humble(X))))&
(![X]:((~rich(X)&~strong(X))<=>(humble(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&~patient(X))<=>generous(X)))&
((?[X]:(~generous(X)))<=>((~brave(lucy)&funny(lucy))))&
(((humble(fred)<~>~happy(fred)))<=>(?[X]:(~old(X))))&
((calm(susan))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((stro... | ~happy(fred) | [] | null | 0 |
Everyone who is both kind and tall is calm.
If someone is curious or funny then susan is happy or not wise and vice versa.
Everyone who is both wise and humble is both not creative and not humble.
Everyone who is wise is old or happy.
Everyone who is kind or happy is either not rich or not curious.
Everyone who is eith... | Alice is not tall. | neutral | (![X]:((kind(X)&tall(X))=>calm(X)))&
((?[X]:((curious(X)|funny(X))))<=>((happy(susan)|~wise(susan))))&
(![X]:((wise(X)&humble(X))=>(~creative(X)&~humble(X))))&
(![X]:(wise(X)=>(old(X)|happy(X))))&
(![X]:((kind(X)|happy(X))=>(~rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>~quiet(X))<=>~funny(X)))&
(((~old(paul)&~funny(pa... | ~tall(alice) | [] | null | 0 |
Everyone who is either old or not wise is either quiet or generous.
Everyone who is not generous is not humble or not tall and vice versa.
Everyone who is either creative or not curious is both not brave and not patient and vice versa.
Everyone who is both funny and not calm is not happy or kind and vice versa.
Everyon... | John is not old. | contradiction | (![X]:((old(X)<~>~wise(X))=>(quiet(X)<~>generous(X))))&
(![X]:(~generous(X)<=>(~humble(X)|~tall(X))))&
(![X]:((creative(X)<~>~curious(X))<=>(~brave(X)&~patient(X))))&
(![X]:((funny(X)&~calm(X))<=>(~happy(X)|kind(X))))&
(![X]:((~brave(X)&rich(X))<=>~wise(X)))&
(![X]:((kind(X)&patient(X))<=>(strong(X)&~brave(X))))&
((?[X... | ~old(john) | [
"p3",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 85114121463041689654844
% SZS output start Proof for 85114121463041689654844
4. ! [X0] : ((~calm(X0) & funny(X0)) <=> (kind(X0) | ~happy(X0))) [input p3]
14. (happy(john) | ~wise(john)) => (~old(john) <~> happy(john)) [input p13]
15. ! [X0] : ((quiet(X0) | funny(X0)) => (old(X0) & rich(X0... | 0 |
Everyone who is either not generous or wise is not tall or quiet. If susan is either quiet or not strong then paul is both not old and not patient. Everyone who is either not strong or not tall is either not calm or not strong. Everyone who is strong is either not old or humble. Everyone who is not creative or not humb... | Fred is quiet. | contradiction | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|quiet(X))))&
(((quiet(susan)<~>~strong(susan)))=>((~old(paul)&~patient(paul))))&
(![X]:((~strong(X)<~>~tall(X))=>(~calm(X)<~>~strong(X))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((pa... | quiet(fred) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6412340881252076817696482
% SZS output start Proof for 6412340881252076817696482
10. ! [X0] : (funny(X0) <=> (~calm(X0) | ~funny(X0))) [input p9]
12. ! [X0] : (funny(X0) <=> (~quiet(X0) & happy(X0))) [input p11]
22. quiet(fred) [input hypothesis]
42. ! [X0] : ((funny(X0) | (calm(X0) & fun... | 0 |
If susan is quiet then mary is both brave and not quiet and vice versa.
Everyone who is old is both not kind and strong.
If someone is old or not quiet then someone is brave or not happy and vice versa.
Everyone who is both kind and not happy is not funny and vice versa.
If someone is either humble or funny then lucy i... | Fred is not rich. | neutral | ((quiet(susan))<=>((brave(mary)&~quiet(mary))))&
(![X]:(old(X)=>(~kind(X)&strong(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(?[X]:((brave(X)|~happy(X)))))&
(![X]:((kind(X)&~happy(X))<=>~funny(X)))&
((?[X]:((humble(X)<~>funny(X))))<=>((brave(lucy)|~strong(lucy))))&
((~funny(fred))<=>(?[X]:((patient(X)&curious(X)))))&
(![X]:(... | ~rich(fred) | [] | null | 0 |
Everyone who is not funny is brave and vice versa.
If someone is not kind or old then someone is creative.
Everyone who is both kind and not kind is either not brave or curious.
Everyone who is both patient and not happy is either quiet or happy and vice versa.
If fred is either quiet or old then paul is both happy and... | Lucy is humble. | entailment | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:((kind(X)&~kind(X))=>(~brave(X)<~>curious(X))))&
(![X]:((patient(X)&~happy(X))<=>(quiet(X)<~>happy(X))))&
(((quiet(fred)<~>old(fred)))<=>((happy(paul)&wise(paul))))&
(![X]:(generous(X)<=>(curious(X)<~>wise(X))))&
((?[X]:((~patient(... | humble(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7232069379290740007348786
% SZS output start Proof for 7232069379290740007348786
11. ! [X0] : ((curious(X0) & humble(X0)) <=> (~patient(X0) | ~humble(X0))) [input p10]
24. ~humble(lucy) [input hypothesis]
53. ! [X0] : (((curious(X0) & humble(X0)) | (patient(X0) & humble(X0))) & ((~patient... | 0 |
If mary is not wise or not creative then someone is not rich. Everyone who is both not wise and not rich is funny and vice versa. Everyone who is either generous or not old is both not humble and old. If mary is either not strong or not generous then paul is either generous or wise. If john is not generous or wise then... | Fred is rich. | entailment | (((~wise(mary)|~creative(mary)))=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)&~rich(X))<=>funny(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)&old(X))))&
(((~strong(mary)<~>~generous(mary)))=>((generous(paul)<~>wise(paul))))&
(((~generous(john)|wise(john)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(![X]:((kind(X)&~quiet(X))=>(~... | rich(fred) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 872736760208677547398105
% SZS output start Proof for 872736760208677547398105
6. ! [X0] : ((~quiet(X0) & kind(X0)) => (funny(X0) & ~kind(X0))) [input p5]
10. (~quiet(paul) & kind(paul)) <=> ? [X0] : ~rich(X0) [input p9]
25. ~rich(fred) [input hypothesis]
34. ! [X0] : ((funny(X0) & ~kind(... | 0 |
If john is both old and not wise then mary is both rich and not calm and vice versa.
Everyone who is either not old or not happy is not brave and vice versa.
Everyone who is calm or strong is both quiet and curious and vice versa.
Everyone who is both not strong and not kind is not happy or quiet.
Everyone who is both ... | Lucy is not humble. | entailment | (((old(john)&~wise(john)))<=>((rich(mary)&~calm(mary))))&
(![X]:((~old(X)<~>~happy(X))<=>~brave(X)))&
(![X]:((calm(X)|strong(X))<=>(quiet(X)&curious(X))))&
(![X]:((~strong(X)&~kind(X))=>(~happy(X)|quiet(X))))&
(![X]:((quiet(X)&~tall(X))=>(generous(X)|calm(X))))&
(![X]:(calm(X)<=>(~funny(X)<~>~old(X))))&
(![X]:((patient... | ~humble(lucy) | [
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 502828034746268937449647
% SZS output start Proof for 502828034746268937449647
3. ! [X0] : ((strong(X0) | calm(X0)) <=> (curious(X0) & quiet(X0))) [input p2]
6. ! [X0] : (calm(X0) <=> (~funny(X0) <~> ~old(X0))) [input p5]
7. ! [X0] : ((humble(X0) | patient(X0)) => (funny(X0) <~> humble(X0... | 0 |
If someone is both not strong and not happy then lucy is both not quiet and not brave. If someone is both strong and not patient then alice is both not curious and funny. Everyone who is either not creative or not humble is patient or kind. Everyone who is either not quiet or creative is either patient or happy. Everyo... | Fred is kind. | neutral | ((?[X]:((~strong(X)&~happy(X))))=>((~quiet(lucy)&~brave(lucy))))&
((?[X]:((strong(X)&~patient(X))))=>((~curious(alice)&funny(alice))))&
(![X]:((~creative(X)<~>~humble(X))=>(patient(X)|kind(X))))&
(![X]:((~quiet(X)<~>creative(X))=>(patient(X)<~>happy(X))))&
(![X]:((~kind(X)|~old(X))=>(~humble(X)<~>~old(X))))&
(![X]:((ki... | kind(fred) | [] | null | 0 |
If someone is both not patient and happy then alice is both not kind and not funny. Everyone who is both not brave and funny is creative or not strong and vice versa. Everyone who is both not wise and curious is not strong and vice versa. Everyone who is either rich or creative is funny. If someone is quiet then someon... | Fred is funny. | entailment | ((?[X]:((~patient(X)&happy(X))))=>((~kind(alice)&~funny(alice))))&
(![X]:((~brave(X)&funny(X))<=>(creative(X)|~strong(X))))&
(![X]:((~wise(X)&curious(X))<=>~strong(X)))&
(![X]:((rich(X)<~>creative(X))=>funny(X)))&
((?[X]:(quiet(X)))<=>(?[X]:(~curious(X))))&
((?[X]:((calm(X)&~quiet(X))))<=>(?[X]:((~funny(X)&calm(X)))))&... | funny(fred) | [
"p1",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8947401486338882628550188
% SZS output start Proof for 8947401486338882628550188
2. ! [X0] : ((funny(X0) & ~brave(X0)) <=> (~strong(X0) | creative(X0))) [input p1]
4. ! [X0] : ((rich(X0) <~> creative(X0)) => funny(X0)) [input p3]
19. rich(fred) [input p18]
24. ~funny(fred) [input hypothes... | 0 |
Everyone who is either patient or old is both not curious and not humble.
If susan is either strong or not happy then someone is either happy or generous and vice versa.
Everyone who is both not rich and generous is both not tall and patient.
Everyone who is not tall is both funny and not calm.
Everyone who is both not... | Susan is strong. | neutral | (![X]:((patient(X)<~>old(X))=>(~curious(X)&~humble(X))))&
(((strong(susan)<~>~happy(susan)))<=>(?[X]:((happy(X)<~>generous(X)))))&
(![X]:((~rich(X)&generous(X))=>(~tall(X)&patient(X))))&
(![X]:(~tall(X)=>(funny(X)&~calm(X))))&
(![X]:((~funny(X)&~humble(X))<=>(~brave(X)|creative(X))))&
(((~humble(susan)&~happy(susan)))=... | strong(susan) | [] | null | 0 |
Everyone who is both calm and quiet is both not happy and curious and vice versa. Everyone who is not generous is not calm and vice versa. If alice is both not funny and humble then lucy is both old and not tall and vice versa. Everyone who is either not patient or brave is both humble and not happy and vice versa. Eve... | Alice is not creative. | neutral | (![X]:((calm(X)&quiet(X))<=>(~happy(X)&curious(X))))&
(![X]:(~generous(X)<=>~calm(X)))&
(((~funny(alice)&humble(alice)))<=>((old(lucy)&~tall(lucy))))&
(![X]:((~patient(X)<~>brave(X))<=>(humble(X)&~happy(X))))&
(![X]:((tall(X)|~creative(X))=>(~brave(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~curious(X))<=>happy(X)))&
(((f... | ~creative(alice) | [] | null | 0 |
If someone is funny then paul is both brave and not quiet.
If john is creative or not rich then fred is either not quiet or quiet and vice versa.
If someone is both not creative and happy then fred is either generous or not curious and vice versa.
Everyone who is either patient or not old is either not kind or not brav... | Alice is happy. | contradiction | ((?[X]:(funny(X)))=>((brave(paul)&~quiet(paul))))&
(((creative(john)|~rich(john)))<=>((~quiet(fred)<~>quiet(fred))))&
((?[X]:((~creative(X)&happy(X))))<=>((generous(fred)<~>~curious(fred))))&
(![X]:((patient(X)<~>~old(X))<=>(~kind(X)<~>~brave(X))))&
((?[X]:(generous(X)))<=>(funny(mary)))&
((?[X]:(~kind(X)))<=>(?[X]:((~... | happy(alice) | [
"p7",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3741633665293018616187210
% SZS output start Proof for 3741633665293018616187210
8. ! [X0] : ((happy(X0) | ~tall(X0)) <=> (~quiet(X0) & tall(X0))) [input p7]
12. ? [X0] : (~creative(X0) | ~happy(X0)) <=> (quiet(alice) | ~tall(alice)) [input p11]
19. ~creative(mary) [input p18]
24. happy(a... | 0 |
Everyone who is not creative or not humble is both not creative and not generous.
Everyone who is not happy is funny or strong and vice versa.
If paul is either happy or not wise then paul is patient.
If someone is not happy then someone is both not generous and humble.
Everyone who is both not tall and calm is both no... | Fred is not calm. | contradiction | (![X]:((~creative(X)|~humble(X))=>(~creative(X)&~generous(X))))&
(![X]:(~happy(X)<=>(funny(X)|strong(X))))&
(((happy(paul)<~>~wise(paul)))=>(patient(paul)))&
((?[X]:(~happy(X)))=>(?[X]:((~generous(X)&humble(X)))))&
(![X]:((~tall(X)&calm(X))<=>(~curious(X)&~brave(X))))&
((?[X]:((~generous(X)<~>~funny(X))))<=>(?[X]:((~pa... | ~calm(fred) | [
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7800911755288560058174397
% SZS output start Proof for 7800911755288560058174397
14. ? [X0] : quiet(X0) <=> (~rich(fred) <~> calm(fred)) [input p13]
15. ! [X0] : ((kind(X0) & quiet(X0)) <=> (~curious(X0) | curious(X0))) [input p14]
19. rich(fred) [input p18]
25. ~calm(fred) [input hypothe... | 0 |
If someone is curious or not curious then susan is funny or tall and vice versa. Everyone who is strong or not quiet is not quiet. Everyone who is either not old or not quiet is both not rich and wise. Everyone who is strong or not happy is both rich and patient. Everyone who is not kind or not tall is not happy and vi... | Lucy is not calm. | neutral | ((?[X]:((curious(X)|~curious(X))))<=>((funny(susan)|tall(susan))))&
(![X]:((strong(X)|~quiet(X))=>~quiet(X)))&
(![X]:((~old(X)<~>~quiet(X))=>(~rich(X)&wise(X))))&
(![X]:((strong(X)|~happy(X))=>(rich(X)&patient(X))))&
(![X]:((~kind(X)|~tall(X))<=>~happy(X)))&
(![X]:(~funny(X)<=>~old(X)))&
(((generous(lucy)&~happy(lucy))... | ~calm(lucy) | [] | null | 0 |
Everyone who is both brave and wise is both not kind and patient. If someone is quiet then someone is both creative and not funny. Everyone who is curious or funny is both curious and not creative and vice versa. If susan is tall then alice is both quiet and tall and vice versa. If someone is not patient or strong then... | Alice is old. | neutral | (![X]:((brave(X)&wise(X))=>(~kind(X)&patient(X))))&
((?[X]:(quiet(X)))=>(?[X]:((creative(X)&~funny(X)))))&
(![X]:((curious(X)|funny(X))<=>(curious(X)&~creative(X))))&
((tall(susan))<=>((quiet(alice)&tall(alice))))&
((?[X]:((~patient(X)|strong(X))))<=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:((happy(X)|~tall(X))=>(quie... | old(alice) | [] | null | 0 |
If someone is curious or strong then lucy is patient or quiet and vice versa.
Everyone who is either brave or not wise is either not generous or not curious and vice versa.
If lucy is both tall and wise then lucy is both not patient and generous.
Everyone who is strong or not curious is curious or not creative and vice... | Susan is curious. | contradiction | ((?[X]:((curious(X)|strong(X))))<=>((patient(lucy)|quiet(lucy))))&
(![X]:((brave(X)<~>~wise(X))<=>(~generous(X)<~>~curious(X))))&
(((tall(lucy)&wise(lucy)))=>((~patient(lucy)&generous(lucy))))&
(![X]:((strong(X)|~curious(X))<=>(curious(X)|~creative(X))))&
(![X]:((creative(X)<~>~old(X))<=>(strong(X)<~>humble(X))))&
((hu... | curious(susan) | [
"p1",
"p3",
"p6",
"p11",
"p12",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6697157831211308858978469
% SZS output start Proof for 6697157831211308858978469
2. ! [X0] : ((brave(X0) <~> ~wise(X0)) <=> (~generous(X0) <~> ~curious(X0))) [input p1]
4. ! [X0] : ((~curious(X0) | strong(X0)) <=> (~creative(X0) | curious(X0))) [input p3]
7. ! [X0] : ((~strong(X0) <~> cur... | 0 |
Everyone who is either not calm or not quiet is old.
If paul is brave or generous then lucy is either not funny or wise.
If paul is both funny and tall then paul is either brave or happy and vice versa.
Everyone who is not funny or creative is not rich or not brave.
Everyone who is either not kind or calm is both not c... | Susan is strong. | neutral | (![X]:((~calm(X)<~>~quiet(X))=>old(X)))&
(((brave(paul)|generous(paul)))=>((~funny(lucy)<~>wise(lucy))))&
(((funny(paul)&tall(paul)))<=>((brave(paul)<~>happy(paul))))&
(![X]:((~funny(X)|creative(X))=>(~rich(X)|~brave(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(~creative(X)&old(X))))&
((calm(lucy))<=>((~kind(paul)|~wise(paul)... | strong(susan) | [] | null | 0 |
Everyone who is either brave or not kind is strong and vice versa. Everyone who is quiet or not tall is both curious and kind and vice versa. If mary is both not kind and not calm then susan is both not curious and not old. Everyone who is funny or not patient is funny or curious and vice versa. If someone is either no... | Susan is not creative. | neutral | (![X]:((brave(X)<~>~kind(X))<=>strong(X)))&
(![X]:((quiet(X)|~tall(X))<=>(curious(X)&kind(X))))&
(((~kind(mary)&~calm(mary)))=>((~curious(susan)&~old(susan))))&
(![X]:((funny(X)|~patient(X))<=>(funny(X)|curious(X))))&
((?[X]:((~creative(X)<~>tall(X))))<=>(~brave(susan)))&
(![X]:((~humble(X)&strong(X))<=>(calm(X)|~gener... | ~creative(susan) | [] | null | 0 |
If someone is generous or not calm then paul is not tall and vice versa.
If someone is either not quiet or not generous then someone is both quiet and not old and vice versa.
Everyone who is either not tall or not quiet is tall and vice versa.
Everyone who is patient or tall is not happy and vice versa.
Everyone who is... | Susan is generous. | contradiction | ((?[X]:((generous(X)|~calm(X))))<=>(~tall(paul)))&
((?[X]:((~quiet(X)<~>~generous(X))))<=>(?[X]:((quiet(X)&~old(X)))))&
(![X]:((~tall(X)<~>~quiet(X))<=>tall(X)))&
(![X]:((patient(X)|tall(X))<=>~happy(X)))&
(![X]:(~tall(X)<=>quiet(X)))&
(![X]:((~generous(X)|calm(X))<=>(~patient(X)<~>happy(X))))&
(![X]:((~brave(X)&~tall(... | generous(susan) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 301284692959249798203930
% SZS output start Proof for 301284692959249798203930
3. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> tall(X0)) [input p2]
5. ! [X0] : (~tall(X0) <=> quiet(X0)) [input p4]
8. ! [X0] : (tall(X0) => (~generous(X0) & ~funny(X0))) [input p7]
23. generous(susan) [input hyp... | 0 |
Everyone who is either humble or not curious is both generous and not strong and vice versa. If someone is not tall or patient then fred is either funny or happy. Everyone who is kind or not humble is happy or not humble. Everyone who is not wise is creative or not brave. Everyone who is strong is calm or old. Everyone... | Fred is not old. | neutral | (![X]:((humble(X)<~>~curious(X))<=>(generous(X)&~strong(X))))&
((?[X]:((~tall(X)|patient(X))))=>((funny(fred)<~>happy(fred))))&
(![X]:((kind(X)|~humble(X))=>(happy(X)|~humble(X))))&
(![X]:(~wise(X)=>(creative(X)|~brave(X))))&
(![X]:(strong(X)=>(calm(X)|old(X))))&
(![X]:(~funny(X)=>(~brave(X)&~patient(X))))&
(![X]:((~st... | ~old(fred) | [] | null | 0 |
Everyone who is happy is quiet or curious and vice versa.
Everyone who is not strong or generous is both not humble and not patient.
Everyone who is not humble is either not wise or not humble and vice versa.
Everyone who is generous or not funny is strong and vice versa.
Everyone who is either not generous or not rich... | Alice is not tall. | entailment | (![X]:(happy(X)<=>(quiet(X)|curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)&~patient(X))))&
(![X]:(~humble(X)<=>(~wise(X)<~>~humble(X))))&
(![X]:((generous(X)|~funny(X))<=>strong(X)))&
(![X]:((~generous(X)<~>~rich(X))<=>(~calm(X)|patient(X))))&
(![X]:((~tall(X)<~>creative(X))<=>(~rich(X)<~>humble(X))))&
((?... | ~tall(alice) | [
"p0",
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5925266205218579799417311
% SZS output start Proof for 5925266205218579799417311
1. ! [X0] : (happy(X0) <=> (curious(X0) | quiet(X0))) [input p0]
2. ! [X0] : ((generous(X0) | ~strong(X0)) => (~patient(X0) & ~humble(X0))) [input p1]
4. ! [X0] : ((~funny(X0) | generous(X0)) <=> strong(X0)) ... | 0 |
If someone is not quiet then fred is both generous and not happy. Everyone who is either not calm or not funny is both tall and kind. Everyone who is either strong or curious is not curious or not happy and vice versa. Everyone who is both not calm and not funny is both not rich and not brave and vice versa. Everyone w... | John is humble. | entailment | ((?[X]:(~quiet(X)))=>((generous(fred)&~happy(fred))))&
(![X]:((~calm(X)<~>~funny(X))=>(tall(X)&kind(X))))&
(![X]:((strong(X)<~>curious(X))<=>(~curious(X)|~happy(X))))&
(![X]:((~calm(X)&~funny(X))<=>(~rich(X)&~brave(X))))&
(![X]:((~wise(X)|~quiet(X))=>~curious(X)))&
((?[X]:((~humble(X)|wise(X))))=>((~rich(susan)|quiet(s... | humble(john) | [
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6822578280833100342273992
% SZS output start Proof for 6822578280833100342273992
12. ? [X0] : ~humble(X0) => (happy(lucy) & ~generous(lucy)) [input p11]
21. generous(lucy) & creative(lucy) [input p20]
24. ~humble(john) [input hypothesis]
35. (happy(lucy) & ~generous(lucy)) | ! [X0] : humb... | 0 |
Everyone who is happy is both not old and calm.
If john is both not calm and calm then john is either not funny or brave and vice versa.
Everyone who is either not patient or rich is both happy and not funny and vice versa.
If mary is not tall then someone is not quiet or tall.
Everyone who is both generous and not cre... | Mary is not curious. | entailment | (![X]:(happy(X)=>(~old(X)&calm(X))))&
(((~calm(john)&calm(john)))<=>((~funny(john)<~>brave(john))))&
(![X]:((~patient(X)<~>rich(X))<=>(happy(X)&~funny(X))))&
((~tall(mary))=>(?[X]:((~quiet(X)|tall(X)))))&
(![X]:((generous(X)&~creative(X))<=>(tall(X)&~creative(X))))&
((?[X]:((~brave(X)&curious(X))))<=>(?[X]:((rich(X)|~h... | ~curious(mary) | [
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8158874915781989222347282
% SZS output start Proof for 8158874915781989222347282
15. ! [X0] : ((generous(X0) | ~calm(X0)) => ~curious(X0)) [input p14]
18. generous(mary) [input p17]
25. curious(mary) [input hypothesis]
36. ! [X0] : (~curious(X0) | (~generous(X0) & calm(X0))) [ennf transfo... | 0 |
If someone is not old or not creative then someone is both not generous and not tall. Everyone who is not curious or not rich is rich and vice versa. Everyone who is either not patient or funny is both not calm and creative and vice versa. Everyone who is either old or rich is not brave. If someone is either not old or... | Fred is not funny. | neutral | ((?[X]:((~old(X)|~creative(X))))=>(?[X]:((~generous(X)&~tall(X)))))&
(![X]:((~curious(X)|~rich(X))<=>rich(X)))&
(![X]:((~patient(X)<~>funny(X))<=>(~calm(X)&creative(X))))&
(![X]:((old(X)<~>rich(X))=>~brave(X)))&
((?[X]:((~old(X)<~>~brave(X))))=>((generous(john)&~strong(john))))&
(((strong(alice)<~>~kind(alice)))<=>((ca... | ~funny(fred) | [] | null | 0 |
If mary is either not humble or not rich then lucy is both not kind and wise. Everyone who is calm is creative or not generous. Everyone who is both not funny and old is either wise or not humble and vice versa. If mary is funny then someone is not happy and vice versa. Everyone who is not calm is either not wise or no... | John is not wise. | entailment | (((~humble(mary)<~>~rich(mary)))=>((~kind(lucy)&wise(lucy))))&
(![X]:(calm(X)=>(creative(X)|~generous(X))))&
(![X]:((~funny(X)&old(X))<=>(wise(X)<~>~humble(X))))&
((funny(mary))<=>(?[X]:(~happy(X))))&
(![X]:(~calm(X)=>(~wise(X)<~>~brave(X))))&
(((~wise(john)|generous(john)))=>(~strong(fred)))&
((~rich(fred))<=>((calm(f... | ~wise(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9017130409918686649773953
% SZS output start Proof for 9017130409918686649773953
20. ~wise(john) & patient(john) [input p19]
24. wise(john) [input hypothesis]
125. ~wise(john) [cnf transformation 20]
130. wise(john) [cnf transformation 24]
180. 10 <=> wise(john) [avatar definition]
316. ~... | 0 |
Everyone who is wise is kind or creative and vice versa.
If john is not rich then someone is kind or wise.
If someone is not generous then someone is both strong and curious and vice versa.
Everyone who is tall or strong is either patient or curious.
If someone is patient then lucy is rich or not patient.
Everyone who ... | Paul is not patient. | entailment | (![X]:(wise(X)<=>(kind(X)|creative(X))))&
((~rich(john))=>(?[X]:((kind(X)|wise(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((strong(X)&curious(X)))))&
(![X]:((tall(X)|strong(X))=>(patient(X)<~>curious(X))))&
((?[X]:(patient(X)))=>((rich(lucy)|~patient(lucy))))&
(![X]:(~patient(X)<=>(curious(X)|wise(X))))&
(![X]:((~kind(X)&o... | ~patient(paul) | [
"p0",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 998136316912831463920391
% SZS output start Proof for 998136316912831463920391
1. ! [X0] : (wise(X0) <=> (creative(X0) | kind(X0))) [input p0]
6. ! [X0] : (~patient(X0) <=> (wise(X0) | curious(X0))) [input p5]
7. ! [X0] : ((old(X0) & ~kind(X0)) => (~patient(X0) & happy(X0))) [input p6]
12... | 0 |
Everyone who is both not wise and strong is quiet.
Everyone who is either not calm or not brave is not calm and vice versa.
Everyone who is not brave is both not strong and tall.
If someone is both not wise and not patient then susan is not strong.
Everyone who is either not creative or not wise is not rich and vice ve... | Fred is creative. | entailment | (![X]:((~wise(X)&strong(X))=>quiet(X)))&
(![X]:((~calm(X)<~>~brave(X))<=>~calm(X)))&
(![X]:(~brave(X)=>(~strong(X)&tall(X))))&
((?[X]:((~wise(X)&~patient(X))))=>(~strong(susan)))&
(![X]:((~creative(X)<~>~wise(X))<=>~rich(X)))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patie... | creative(fred) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7992288274437712260733116
% SZS output start Proof for 7992288274437712260733116
2. ! [X0] : ((~calm(X0) <~> ~brave(X0)) <=> ~calm(X0)) [input p1]
10. ! [X0] : ((~brave(X0) <~> creative(X0)) <=> (quiet(X0) | ~quiet(X0))) [input p9]
24. ~creative(fred) [input hypothesis]
38. ! [X0] : ((((b... | 0 |
Everyone who is not happy is not calm and vice versa.
Everyone who is both creative and strong is not happy or not kind.
Everyone who is creative or strong is not generous and vice versa.
If someone is strong then someone is not quiet.
Everyone who is both patient and not patient is brave and vice versa.
Everyone who i... | Fred is not funny. | entailment | (![X]:(~happy(X)<=>~calm(X)))&
(![X]:((creative(X)&strong(X))=>(~happy(X)|~kind(X))))&
(![X]:((creative(X)|strong(X))<=>~generous(X)))&
((?[X]:(strong(X)))=>(?[X]:(~quiet(X))))&
(![X]:((patient(X)&~patient(X))<=>brave(X)))&
(![X]:(funny(X)=>(~patient(X)|~wise(X))))&
(((~creative(paul)&~wise(paul)))<=>(?[X]:((tall(X)&hu... | ~funny(fred) | [
"p0",
"p4",
"p8",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7807187279019465964231624
% SZS output start Proof for 7807187279019465964231624
1. ! [X0] : (~happy(X0) <=> ~calm(X0)) [input p0]
5. ! [X0] : ((~patient(X0) & patient(X0)) <=> brave(X0)) [input p4]
9. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (brave(X0) <~> happy(X0))) [input p8]
11. ? [X... | 0 |
Everyone who is both not strong and not rich is tall and vice versa.
Everyone who is both kind and not patient is either not funny or quiet and vice versa.
Everyone who is quiet is happy or generous and vice versa.
Everyone who is not wise or not rich is both not happy and not brave.
Everyone who is either not curious ... | Alice is not funny. | contradiction | (![X]:((~strong(X)&~rich(X))<=>tall(X)))&
(![X]:((kind(X)&~patient(X))<=>(~funny(X)<~>quiet(X))))&
(![X]:(quiet(X)<=>(happy(X)|generous(X))))&
(![X]:((~wise(X)|~rich(X))=>(~happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(curious(X)|funny(X))))&
(![X]:((~curious(X)|~calm(X))<=>~calm(X)))&
(![X]:((rich(X)<~>cu... | ~funny(alice) | [
"p0",
"p3",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 567496579482639164194697
% SZS output start Proof for 567496579482639164194697
1. ! [X0] : ((~rich(X0) & ~strong(X0)) <=> tall(X0)) [input p0]
4. ! [X0] : ((~rich(X0) | ~wise(X0)) => (~brave(X0) & ~happy(X0))) [input p3]
11. ! [X0] : ((~calm(X0) & old(X0)) <=> (~funny(X0) | ~rich(X0))) [i... | 0 |
Everyone who is both curious and not calm is either not funny or humble.
If someone is either not funny or not quiet then someone is either tall or brave and vice versa.
Everyone who is humble is not old or not tall.
Everyone who is strong or patient is either humble or not kind and vice versa.
If mary is tall then som... | John is not curious. | entailment | (![X]:((curious(X)&~calm(X))=>(~funny(X)<~>humble(X))))&
((?[X]:((~funny(X)<~>~quiet(X))))<=>(?[X]:((tall(X)<~>brave(X)))))&
(![X]:(humble(X)=>(~old(X)|~tall(X))))&
(![X]:((strong(X)|patient(X))<=>(humble(X)<~>~kind(X))))&
((tall(mary))=>(?[X]:(funny(X))))&
(![X]:((humble(X)<~>curious(X))<=>(~old(X)&~brave(X))))&
(![X]... | ~curious(john) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5538971301514475048691642
% SZS output start Proof for 5538971301514475048691642
11. ! [X0] : (curious(X0) => (~funny(X0) & ~strong(X0))) [input p10]
16. ! [X0] : (curious(X0) => funny(X0)) [input p15]
23. curious(john) [input hypothesis]
31. ! [X0] : ((~funny(X0) & ~strong(X0)) | ~curiou... | 0 |
If mary is not wise or not creative then someone is not rich. Everyone who is both not wise and not rich is funny and vice versa. Everyone who is either generous or not old is both not humble and old. If mary is either not strong or not generous then paul is either generous or wise. If john is not generous or wise then... | Mary is not calm. | entailment | (((~wise(mary)|~creative(mary)))=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)&~rich(X))<=>funny(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)&old(X))))&
(((~strong(mary)<~>~generous(mary)))=>((generous(paul)<~>wise(paul))))&
(((~generous(john)|wise(john)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(![X]:((kind(X)&~quiet(X))=>(~... | ~calm(mary) | [
"p0",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8269069304145547400360351
% SZS output start Proof for 8269069304145547400360351
1. (~creative(mary) | ~wise(mary)) => ? [X0] : ~rich(X0) [input p0]
6. ! [X0] : ((~quiet(X0) & kind(X0)) => (funny(X0) & ~kind(X0))) [input p5]
10. (~quiet(paul) & kind(paul)) <=> ? [X0] : ~rich(X0) [input p9... | 0 |
Everyone who is not wise is both not funny and not tall. If someone is either not happy or not funny then someone is both not curious and not old. Everyone who is not quiet or creative is funny and vice versa. Everyone who is not old is both generous and not kind and vice versa. If susan is either strong or not calm th... | John is not strong. | neutral | (![X]:(~wise(X)=>(~funny(X)&~tall(X))))&
((?[X]:((~happy(X)<~>~funny(X))))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((~quiet(X)|creative(X))<=>funny(X)))&
(![X]:(~old(X)<=>(generous(X)&~kind(X))))&
(((strong(susan)<~>~calm(susan)))<=>(?[X]:((~humble(X)|patient(X)))))&
((?[X]:((~old(X)&~kind(X))))=>((~curious(john)<~>~st... | ~strong(john) | [] | null | 0 |
If someone is both not strong and not kind then mary is either calm or patient and vice versa. Everyone who is either not quiet or generous is either not rich or brave. If lucy is funny or not old then john is not rich or not strong and vice versa. If someone is not curious then john is both not quiet and not creative ... | John is not brave. | entailment | ((?[X]:((~strong(X)&~kind(X))))<=>((calm(mary)<~>patient(mary))))&
(![X]:((~quiet(X)<~>generous(X))=>(~rich(X)<~>brave(X))))&
(((funny(lucy)|~old(lucy)))<=>((~rich(john)|~strong(john))))&
((?[X]:(~curious(X)))<=>((~quiet(john)&~creative(john))))&
(((~kind(fred)|~creative(fred)))=>(?[X]:(happy(X))))&
((?[X]:((rich(X)|~o... | ~brave(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3874532300794223096793226
% SZS output start Proof for 3874532300794223096793226
20. ~brave(john) [input p19]
24. brave(john) [input hypothesis]
133. ~brave(john) [cnf transformation 20]
137. brave(john) [cnf transformation 24]
357. $false [subsumption resolution 137,133]
% SZS output end... | 0 |
Everyone who is either not wise or creative is either not patient or not humble.
If lucy is both not calm and not happy then fred is not creative and vice versa.
If someone is creative then someone is both calm and not calm and vice versa.
Everyone who is quiet is funny or patient.
Everyone who is not happy is either n... | Fred is strong. | neutral | (![X]:((~wise(X)<~>creative(X))=>(~patient(X)<~>~humble(X))))&
(((~calm(lucy)&~happy(lucy)))<=>(~creative(fred)))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((~patient(susan)|~brave(susan))... | strong(fred) | [] | null | 0 |
If someone is humble or not generous then alice is both funny and not calm.
If john is humble then alice is happy.
If john is not brave then mary is kind or funny and vice versa.
If lucy is both not calm and not tall then someone is strong and vice versa.
If fred is both not wise and not rich then fred is both wise and... | Susan is not old. | entailment | ((?[X]:((humble(X)|~generous(X))))=>((funny(alice)&~calm(alice))))&
((humble(john))=>(happy(alice)))&
((~brave(john))<=>((kind(mary)|funny(mary))))&
(((~calm(lucy)&~tall(lucy)))<=>(?[X]:(strong(X))))&
(((~wise(fred)&~rich(fred)))=>((wise(fred)&happy(fred))))&
(((~strong(susan)&~happy(susan)))=>(~creative(mary)))&
(((ge... | ~old(susan) | [
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1816594993274986798675924
% SZS output start Proof for 1816594993274986798675924
16. ! [X0] : (old(X0) <=> (brave(X0) & curious(X0))) [input p15]
19. ~brave(susan) & patient(susan) [input p18]
24. old(susan) [input hypothesis]
63. ! [X0] : ((old(X0) | (~brave(X0) | ~curious(X0))) & ((brav... | 0 |
If fred is creative or not happy then someone is not old and vice versa.
If someone is funny then someone is not strong and vice versa.
If someone is not quiet then alice is both not creative and not funny.
Everyone who is either not humble or quiet is both not strong and not tall and vice versa.
If alice is not calm o... | Alice is not old. | neutral | (((creative(fred)|~happy(fred)))<=>(?[X]:(~old(X))))&
((?[X]:(funny(X)))<=>(?[X]:(~strong(X))))&
((?[X]:(~quiet(X)))=>((~creative(alice)&~funny(alice))))&
(![X]:((~humble(X)<~>quiet(X))<=>(~strong(X)&~tall(X))))&
(((~calm(alice)|~rich(alice)))<=>(?[X]:(wise(X))))&
((?[X]:(~happy(X)))<=>((~quiet(lucy)|wise(lucy))))&
(![... | ~old(alice) | [] | null | 0 |
Everyone who is wise is humble or tall and vice versa.
If someone is not wise then someone is old and vice versa.
If someone is not curious then someone is either tall or not calm.
If someone is not creative or not happy then someone is either not rich or creative.
If mary is either not kind or happy then someone is fu... | John is not patient. | neutral | (![X]:(wise(X)<=>(humble(X)|tall(X))))&
((?[X]:(~wise(X)))<=>(?[X]:(old(X))))&
((?[X]:(~curious(X)))=>(?[X]:((tall(X)<~>~calm(X)))))&
((?[X]:((~creative(X)|~happy(X))))=>(?[X]:((~rich(X)<~>creative(X)))))&
(((~kind(mary)<~>happy(mary)))<=>(?[X]:(funny(X))))&
(![X]:((~strong(X)&~rich(X))<=>~quiet(X)))&
(![X]:((rich(X)<~... | ~patient(john) | [] | null | 0 |
If john is either not funny or quiet then fred is happy.
If someone is brave or not wise then susan is both tall and not rich and vice versa.
If someone is humble then lucy is either humble or quiet.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who is ... | John is patient. | contradiction | (((~funny(john)<~>quiet(john)))=>(happy(fred)))&
((?[X]:((brave(X)|~wise(X))))<=>((tall(susan)&~rich(susan))))&
((?[X]:(humble(X)))=>((humble(lucy)<~>quiet(lucy))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curio... | patient(john) | [
"p5",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5876256388958220606205561
% SZS output start Proof for 5876256388958220606205561
6. ! [X0] : ((creative(X0) | curious(X0)) => tall(X0)) [input p5]
7. ! [X0] : (generous(X0) <=> curious(X0)) [input p6]
8. ! [X0] : ((~calm(X0) & ~generous(X0)) <=> (~generous(X0) | ~happy(X0))) [input p7]
9.... | 0 |
If someone is old then john is creative or patient.
If lucy is either rich or curious then someone is both wise and old and vice versa.
If fred is both not kind and not humble then someone is not humble or not curious.
Everyone who is not funny is both patient and humble and vice versa.
Everyone who is not calm or not ... | Paul is not rich. | entailment | ((?[X]:(old(X)))=>((creative(john)|patient(john))))&
(((rich(lucy)<~>curious(lucy)))<=>(?[X]:((wise(X)&old(X)))))&
(((~kind(fred)&~humble(fred)))=>(?[X]:((~humble(X)|~curious(X)))))&
(![X]:(~funny(X)<=>(patient(X)&humble(X))))&
(![X]:((~calm(X)|~strong(X))<=>(~creative(X)<~>~curious(X))))&
(![X]:(~funny(X)=>(~calm(X)&~... | ~rich(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7166643862728537583933931
% SZS output start Proof for 7166643862728537583933931
9. ! [X0] : ((~rich(X0) & happy(X0)) <=> (quiet(X0) <~> ~quiet(X0))) [input p8]
24. rich(paul) [input hypothesis]
52. ! [X0] : (((~rich(X0) & happy(X0)) | ((quiet(X0) | quiet(X0)) & (~quiet(X0) | ~quiet(X0)))... | 0 |
Everyone who is both rich and kind is generous. If someone is both happy and humble then someone is both rich and not patient and vice versa. Everyone who is either wise or kind is generous or not old and vice versa. Everyone who is calm is curious. If john is not funny or not wise then mary is either not brave or not ... | Susan is happy. | neutral | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:((wise(X)<~>kind(X))<=>(generous(X)|~old(X))))&
(![X]:(calm(X)=>curious(X)))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:... | happy(susan) | [] | null | 0 |
If john is both kind and not rich then fred is creative or brave and vice versa.
If someone is not wise or not creative then someone is calm and vice versa.
Everyone who is not curious is both not humble and generous and vice versa.
If someone is patient then someone is strong or humble and vice versa.
Everyone who is ... | John is not creative. | neutral | (((kind(john)&~rich(john)))<=>((creative(fred)|brave(fred))))&
((?[X]:((~wise(X)|~creative(X))))<=>(?[X]:(calm(X))))&
(![X]:(~curious(X)<=>(~humble(X)&generous(X))))&
((?[X]:(patient(X)))<=>(?[X]:((strong(X)|humble(X)))))&
(![X]:((~creative(X)&~calm(X))<=>(happy(X)<~>~wise(X))))&
(![X]:((~old(X)&happy(X))<=>~curious(X)... | ~creative(john) | [] | null | 0 |
If someone is both tall and not patient then john is not strong.
If mary is not humble then someone is both brave and not patient and vice versa.
Everyone who is not calm or not humble is both old and funny.
If someone is humble or wise then someone is both tall and creative.
If susan is patient or not curious then som... | John is not rich. | neutral | ((?[X]:((tall(X)&~patient(X))))=>(~strong(john)))&
((~humble(mary))<=>(?[X]:((brave(X)&~patient(X)))))&
(![X]:((~calm(X)|~humble(X))=>(old(X)&funny(X))))&
((?[X]:((humble(X)|wise(X))))=>(?[X]:((tall(X)&creative(X)))))&
(((patient(susan)|~curious(susan)))<=>(?[X]:((~happy(X)|funny(X)))))&
(![X]:((rich(X)|~calm(X))=>humb... | ~rich(john) | [] | null | 0 |
Everyone who is both quiet and not calm is not curious or calm and vice versa.
If someone is either humble or not kind then someone is tall and vice versa.
Everyone who is either not creative or not happy is both calm and not creative.
If mary is not strong or not curious then john is both old and not happy and vice ve... | John is not patient. | contradiction | (![X]:((quiet(X)&~calm(X))<=>(~curious(X)|calm(X))))&
((?[X]:((humble(X)<~>~kind(X))))<=>(?[X]:(tall(X))))&
(![X]:((~creative(X)<~>~happy(X))=>(calm(X)&~creative(X))))&
(((~strong(mary)|~curious(mary)))<=>((old(john)&~happy(john))))&
((?[X]:((happy(X)<~>~patient(X))))=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:((~kind(X)<... | ~patient(john) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 449299246806582331237575
% SZS output start Proof for 449299246806582331237575
1. ! [X0] : ((~calm(X0) & quiet(X0)) <=> (calm(X0) | ~curious(X0))) [input p0]
9. ! [X0] : (~patient(X0) => (quiet(X0) & calm(X0))) [input p8]
18. ~patient(john) [input hypothesis]
27. ! [X0] : ((quiet(X0) & ca... | 0 |
If someone is not funny then someone is brave or not creative.
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 creativ... | Paul is not brave. | neutral | ((?[X]:(~funny(X)))=>(?[X]:((brave(X)|~creative(X)))))&
((?[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... | ~brave(paul) | [] | null | 0 |
Everyone who is quiet is kind or curious and vice versa.
Everyone who is both not calm and not funny is rich.
If someone is tall or calm then mary is not calm or creative and vice versa.
Everyone who is either not creative or strong is both old and not wise and vice versa.
If someone is tall then mary is both not creat... | John is generous. | neutral | (![X]:(quiet(X)<=>(kind(X)|curious(X))))&
(![X]:((~calm(X)&~funny(X))=>rich(X)))&
((?[X]:((tall(X)|calm(X))))<=>((~calm(mary)|creative(mary))))&
(![X]:((~creative(X)<~>strong(X))<=>(old(X)&~wise(X))))&
((?[X]:(tall(X)))<=>((~creative(mary)&brave(mary))))&
(((~patient(alice)<~>kind(alice)))<=>(?[X]:((~brave(X)<~>~happy(... | generous(john) | [] | null | 0 |
If someone is not creative then fred is not funny and vice versa.
If john is either not happy or humble then john is both brave and generous and vice versa.
Everyone who is not wise is calm and vice versa.
If alice is quiet then paul is either funny or not wise and vice versa.
If someone is both not happy and not funny... | Fred is kind. | contradiction | ((?[X]:(~creative(X)))<=>(~funny(fred)))&
(((~happy(john)<~>humble(john)))<=>((brave(john)&generous(john))))&
(![X]:(~wise(X)<=>calm(X)))&
((quiet(alice))<=>((funny(paul)<~>~wise(paul))))&
((?[X]:((~happy(X)&~funny(X))))<=>((~rich(fred)&~humble(fred))))&
((?[X]:(~quiet(X)))<=>(rich(john)))&
((?[X]:(~humble(X)))<=>((qui... | kind(fred) | [
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4550552048035329707119359
% SZS output start Proof for 4550552048035329707119359
12. ! [X0] : (~kind(X0) <=> creative(X0)) [input p11]
23. creative(fred) [input p22]
25. kind(fred) [input hypothesis]
56. ! [X0] : ((~kind(X0) | ~creative(X0)) & (creative(X0) | kind(X0))) [nnf transformatio... | 0 |
If someone is calm or not rich then someone is both not strong and not creative and vice versa.
Everyone who is patient or generous is both not brave and not calm and vice versa.
Everyone who is both funny and not funny is not humble or calm.
If someone is brave then mary is either curious or old and vice versa.
If mar... | Fred is generous. | contradiction | ((?[X]:((calm(X)|~rich(X))))<=>(?[X]:((~strong(X)&~creative(X)))))&
(![X]:((patient(X)|generous(X))<=>(~brave(X)&~calm(X))))&
(![X]:((funny(X)&~funny(X))=>(~humble(X)|calm(X))))&
((?[X]:(brave(X)))<=>((curious(mary)<~>old(mary))))&
((quiet(mary))=>(happy(fred)))&
(((humble(john)<~>funny(john)))=>((brave(mary)&creative(... | generous(fred) | [
"p1",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 140530715491687198455565
% SZS output start Proof for 140530715491687198455565
2. ! [X0] : ((generous(X0) | patient(X0)) <=> (~calm(X0) & ~brave(X0))) [input p1]
9. ! [X0] : ((~curious(X0) | ~funny(X0)) <=> (funny(X0) & humble(X0))) [input p8]
12. ! [X0] : ((generous(X0) <~> ~calm(X0)) <=... | 0 |
Everyone who is not wise is rich and vice versa. Everyone who is not kind is not creative and vice versa. If alice is either not kind or quiet then someone is not strong or not brave and vice versa. Everyone who is either humble or brave is not brave and vice versa. Everyone who is either not patient or not quiet is ei... | Alice is not creative. | contradiction | (![X]:(~wise(X)<=>rich(X)))&
(![X]:(~kind(X)<=>~creative(X)))&
(((~kind(alice)<~>quiet(alice)))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~... | ~creative(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3587559225784687601527960
% SZS output start Proof for 3587559225784687601527960
23. creative(alice) & ~quiet(alice) [input p22]
24. ~creative(alice) [input hypothesis]
132. creative(alice) [cnf transformation 23]
133. ~creative(alice) [cnf transformation 24]
291. $false [subsumption reso... | 0 |
If alice is not kind or not curious then someone is tall.
If someone is either rich or wise then someone is patient and vice versa.
If mary is both not humble and curious then someone is both not strong and not rich and vice versa.
Everyone who is not curious or patient is generous or not creative and vice versa.
Every... | Fred is curious. | neutral | (((~kind(alice)|~curious(alice)))=>(?[X]:(tall(X))))&
((?[X]:((rich(X)<~>wise(X))))<=>(?[X]:(patient(X))))&
(((~humble(mary)&curious(mary)))<=>(?[X]:((~strong(X)&~rich(X)))))&
(![X]:((~curious(X)|patient(X))<=>(generous(X)|~creative(X))))&
(![X]:(~kind(X)=>(~funny(X)&~old(X))))&
(![X]:((~humble(X)|wise(X))<=>(~brave(X)... | curious(fred) | [] | null | 0 |
If john is quiet or not old then someone is quiet and vice versa.
Everyone who is both happy and creative is not humble or not curious and vice versa.
Everyone who is curious or not strong is both creative and not old and vice versa.
Everyone who is wise is not creative or not calm and vice versa.
If mary is both funny... | John is not rich. | entailment | (((quiet(john)|~old(john)))<=>(?[X]:(quiet(X))))&
(![X]:((happy(X)&creative(X))<=>(~humble(X)|~curious(X))))&
(![X]:((curious(X)|~strong(X))<=>(creative(X)&~old(X))))&
(![X]:(wise(X)<=>(~creative(X)|~calm(X))))&
(((funny(mary)&~quiet(mary)))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:(rich(X)=>(~wise(X)&strong(X))))&
... | ~rich(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1781364159252301662393177
% SZS output start Proof for 1781364159252301662393177
19. ~rich(john) & ~patient(john) [input p18]
23. rich(john) [input hypothesis]
130. ~rich(john) [cnf transformation 19]
136. rich(john) [cnf transformation 23]
265. $false [subsumption resolution 136,130]
% S... | 0 |
If someone is both not old and calm then someone is generous. If mary is patient then lucy is either old or not brave and vice versa. If alice is not rich then paul is calm. If alice is both not calm and strong then alice is either rich or not humble. Everyone who is either kind or not kind is tall or strong. Everyone ... | Alice is humble. | neutral | ((?[X]:((~old(X)&calm(X))))=>(?[X]:(generous(X))))&
((patient(mary))<=>((old(lucy)<~>~brave(lucy))))&
((~rich(alice))=>(calm(paul)))&
(((~calm(alice)&strong(alice)))=>((rich(alice)<~>~humble(alice))))&
(![X]:((kind(X)<~>~kind(X))=>(tall(X)|strong(X))))&
(![X]:(~kind(X)=>(~calm(X)&creative(X))))&
((?[X]:((rich(X)|~creat... | humble(alice) | [] | null | 0 |
Everyone who is both not old and not happy is both not funny and not quiet.
Everyone who is either brave or not happy is not quiet and vice versa.
If someone is both rich and strong then alice is either wise or funny.
Everyone who is both not kind and rich is wise or not old and vice versa.
If someone is strong or not ... | Alice is funny. | neutral | (![X]:((~old(X)&~happy(X))=>(~funny(X)&~quiet(X))))&
(![X]:((brave(X)<~>~happy(X))<=>~quiet(X)))&
((?[X]:((rich(X)&strong(X))))=>((wise(alice)<~>funny(alice))))&
(![X]:((~kind(X)&rich(X))<=>(wise(X)|~old(X))))&
((?[X]:((strong(X)|~curious(X))))=>((~calm(paul)|~tall(paul))))&
(![X]:(~brave(X)=>(happy(X)&~old(X))))&
(((~... | funny(alice) | [] | null | 0 |
Everyone who is not funny is both not brave and funny. Everyone who is quiet or not old is both generous and not humble. If someone is both not kind and kind then lucy is both wise and not humble and vice versa. Everyone who is patient or not creative is old and vice versa. Everyone who is either humble or curious is b... | Lucy is tall. | contradiction | (![X]:(~funny(X)=>(~brave(X)&funny(X))))&
(![X]:((quiet(X)|~old(X))=>(generous(X)&~humble(X))))&
((?[X]:((~kind(X)&kind(X))))<=>((wise(lucy)&~humble(lucy))))&
(![X]:((patient(X)|~creative(X))<=>old(X)))&
(![X]:((humble(X)<~>curious(X))=>(~funny(X)&~brave(X))))&
((old(lucy))=>(?[X]:((~wise(X)<~>~old(X)))))&
(((~wise(ali... | tall(lucy) | [
"p0",
"p1",
"p4",
"p9",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2406431812656326629165418
% SZS output start Proof for 2406431812656326629165418
1. ! [X0] : (~funny(X0) => (funny(X0) & ~brave(X0))) [input p0]
2. ! [X0] : ((~old(X0) | quiet(X0)) => (~humble(X0) & generous(X0))) [input p1]
5. ! [X0] : ((humble(X0) <~> curious(X0)) => (~brave(X0) & ~funn... | 0 |
Everyone who is not patient is generous.
If someone is strong then someone is both curious and not old and vice versa.
If paul is not tall or creative then susan is not old or not rich and vice versa.
If someone is both not funny and brave then someone is not kind.
Everyone who is not strong is not curious.
If someone ... | Susan is funny. | contradiction | (![X]:(~patient(X)=>generous(X)))&
((?[X]:(strong(X)))<=>(?[X]:((curious(X)&~old(X)))))&
(((~tall(paul)|creative(paul)))<=>((~old(susan)|~rich(susan))))&
((?[X]:((~funny(X)&brave(X))))=>(?[X]:(~kind(X))))&
(![X]:(~strong(X)=>~curious(X)))&
((?[X]:((rich(X)&~humble(X))))<=>(?[X]:((~funny(X)&strong(X)))))&
(![X]:(~humble... | funny(susan) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6858158970765320178897230
% SZS output start Proof for 6858158970765320178897230
13. ? [X0] : funny(X0) <=> ? [X0] : (~curious(X0) & calm(X0)) [input p12]
14. ! [X0] : ((~curious(X0) & curious(X0)) <=> (~rich(X0) | ~curious(X0))) [input p13]
25. funny(susan) [input hypothesis]
31. ? [X0] ... | 0 |
Everyone who is both not patient and not creative is kind and vice versa. Everyone who is not humble is either not patient or not happy and vice versa. If fred is both brave and curious then susan is not funny and vice versa. If john is both not creative and humble then susan is either wise or calm and vice versa. If s... | Fred is generous. | entailment | (![X]:((~patient(X)&~creative(X))<=>kind(X)))&
(![X]:(~humble(X)<=>(~patient(X)<~>~happy(X))))&
(((brave(fred)&curious(fred)))<=>(~funny(susan)))&
(((~creative(john)&humble(john)))<=>((wise(susan)<~>calm(susan))))&
((?[X]:(kind(X)))=>(?[X]:((wise(X)|patient(X)))))&
(![X]:((~humble(X)&rich(X))<=>(~patient(X)|humble(X)))... | generous(fred) | [
"p0",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8043489246238423575519343
% SZS output start Proof for 8043489246238423575519343
1. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> kind(X0)) [input p0]
6. ! [X0] : ((rich(X0) & ~humble(X0)) <=> (humble(X0) | ~patient(X0))) [input p5]
9. ! [X0] : (patient(X0) <=> (~humble(X0) | ~brave(X0))) ... | 0 |
If someone is both not patient and funny then john is not kind or not curious. If someone is both quiet and old then someone is both strong and not strong. Everyone who is not kind or patient is both not quiet and creative. If john is not strong then someone is either rich or not humble and vice versa. If someone is ei... | Fred is not kind. | contradiction | ((?[X]:((~patient(X)&funny(X))))=>((~kind(john)|~curious(john))))&
((?[X]:((quiet(X)&old(X))))=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:((~kind(X)|patient(X))=>(~quiet(X)&creative(X))))&
((~strong(john))<=>(?[X]:((rich(X)<~>~humble(X)))))&
((?[X]:((creative(X)<~>kind(X))))=>((patient(mary)&~old(mary))))&
(![X]:(wise(X)... | ~kind(fred) | [
"p1",
"p2",
"p4",
"p7",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6916644255925104893300348
% SZS output start Proof for 6916644255925104893300348
2. ? [X0] : (old(X0) & quiet(X0)) => ? [X0] : (~strong(X0) & strong(X0)) [input p1]
3. ! [X0] : ((patient(X0) | ~kind(X0)) => (creative(X0) & ~quiet(X0))) [input p2]
5. ? [X0] : (creative(X0) <~> kind(X0)) =>... | 0 |
Everyone who is creative is not calm. Everyone who is either not creative or not wise is both patient and creative. If someone is either humble or generous then lucy is both not kind and generous and vice versa. Everyone who is not brave is not curious and vice versa. Everyone who is both not generous and humble is bot... | Fred is not brave. | contradiction | (![X]:(creative(X)=>~calm(X)))&
(![X]:((~creative(X)<~>~wise(X))=>(patient(X)&creative(X))))&
((?[X]:((humble(X)<~>generous(X))))<=>((~kind(lucy)&generous(lucy))))&
(![X]:(~brave(X)<=>~curious(X)))&
(![X]:((~generous(X)&humble(X))<=>(kind(X)&generous(X))))&
((?[X]:(funny(X)))<=>(~old(paul)))&
(![X]:((~tall(X)&wise(X))=... | ~brave(fred) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2769205307242748754766623
% SZS output start Proof for 2769205307242748754766623
4. ! [X0] : (~brave(X0) <=> ~curious(X0)) [input p3]
22. curious(fred) & tall(fred) [input p21]
25. ~brave(fred) [input hypothesis]
45. ! [X0] : ((~brave(X0) | curious(X0)) & (~curious(X0) | brave(X0))) [nnf ... | 0 |
Everyone who is calm or old is strong or curious. Everyone who is either patient or not rich is both wise and rich. If someone is not generous or not quiet then someone is both not quiet and patient and vice versa. Everyone who is not funny is either not tall or not happy and vice versa. Everyone who is both happy and ... | Mary is funny. | neutral | (![X]:((calm(X)|old(X))=>(strong(X)|curious(X))))&
(![X]:((patient(X)<~>~rich(X))=>(wise(X)&rich(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(~funny(X)<=>(~tall(X)<~>~happy(X))))&
(![X]:((happy(X)&~wise(X))<=>(~patient(X)<~>~calm(X))))&
((?[X]:(funny(X)))=>(brave(fred)))&
(![X]:(... | funny(mary) | [] | null | 0 |
If someone is either calm or not strong then someone is either not rich or happy.
Everyone who is both not brave and not humble is either not brave or not quiet.
If someone is either not curious or funny then john is either not brave or creative and vice versa.
Everyone who is strong or not happy is quiet or not calm.
... | Fred is rich. | neutral | ((?[X]:((calm(X)<~>~strong(X))))=>(?[X]:((~rich(X)<~>happy(X)))))&
(![X]:((~brave(X)&~humble(X))=>(~brave(X)<~>~quiet(X))))&
((?[X]:((~curious(X)<~>funny(X))))<=>((~brave(john)<~>creative(john))))&
(![X]:((strong(X)|~happy(X))=>(quiet(X)|~calm(X))))&
(![X]:((~kind(X)|~old(X))=>(~creative(X)|~curious(X))))&
((?[X]:((qui... | rich(fred) | [] | null | 0 |
Everyone who is calm is not old and vice versa.
If john is both not kind and creative then john is both strong and humble and vice versa.
If susan is both old and kind then someone is generous or wise and vice versa.
If john is calm then someone is both strong and not happy and vice versa.
Everyone who is both quiet an... | Susan is calm. | contradiction | (![X]:(calm(X)<=>~old(X)))&
(((~kind(john)&creative(john)))<=>((strong(john)&humble(john))))&
(((old(susan)&kind(susan)))<=>(?[X]:((generous(X)|wise(X)))))&
((calm(john))<=>(?[X]:((strong(X)&~happy(X)))))&
(![X]:((quiet(X)&~humble(X))<=>(~calm(X)|~funny(X))))&
(![X]:((~tall(X)|humble(X))=>quiet(X)))&
(![X]:((~strong(X)... | calm(susan) | [
"p0",
"p2",
"p6",
"p7",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5787575010950893443246596
% SZS output start Proof for 5787575010950893443246596
1. ! [X0] : (calm(X0) <=> ~old(X0)) [input p0]
3. (kind(susan) & old(susan)) <=> ? [X0] : (wise(X0) | generous(X0)) [input p2]
7. ! [X0] : ((~old(X0) & ~strong(X0)) <=> (kind(X0) & ~curious(X0))) [input p6]
8... | 0 |
Everyone who is humble is either not brave or not creative.
If someone is both happy and rich then someone is kind or funny.
Everyone who is both patient and not wise is generous.
Everyone who is both not quiet and not strong is quiet.
Everyone who is both not kind and brave is not quiet or not kind and vice versa.
If ... | Lucy is not wise. | contradiction | (![X]:(humble(X)=>(~brave(X)<~>~creative(X))))&
((?[X]:((happy(X)&rich(X))))=>(?[X]:((kind(X)|funny(X)))))&
(![X]:((patient(X)&~wise(X))=>generous(X)))&
(![X]:((~quiet(X)&~strong(X))=>quiet(X)))&
(![X]:((~kind(X)&brave(X))<=>(~quiet(X)|~kind(X))))&
(((patient(mary)<~>~creative(mary)))=>(?[X]:(funny(X))))&
((?[X]:((curi... | ~wise(lucy) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8240659026824961329402569
% SZS output start Proof for 8240659026824961329402569
13. ! [X0] : ((wise(X0) & ~old(X0)) <=> (~calm(X0) | old(X0))) [input p12]
15. ! [X0] : ((calm(X0) | ~calm(X0)) => (~calm(X0) & tall(X0))) [input p14]
22. ~wise(lucy) [input hypothesis]
38. ! [X0] : ((~calm(X... | 0 |
Everyone who is old or not humble is both calm and not kind.
Everyone who is not calm is curious and vice versa.
If mary is patient then someone is either not old or not generous.
If paul is brave then someone is either not generous or kind.
If susan is both old and not quiet then someone is either patient or curious a... | Mary is tall. | contradiction | (![X]:((old(X)|~humble(X))=>(calm(X)&~kind(X))))&
(![X]:(~calm(X)<=>curious(X)))&
((patient(mary))=>(?[X]:((~old(X)<~>~generous(X)))))&
((brave(paul))=>(?[X]:((~generous(X)<~>kind(X)))))&
(((old(susan)&~quiet(susan)))<=>(?[X]:((patient(X)<~>curious(X)))))&
(![X]:(~humble(X)=>~patient(X)))&
(((~funny(mary)|patient(mary)... | tall(mary) | [
"p0",
"p1",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7728889751885664218311516
% SZS output start Proof for 7728889751885664218311516
1. ! [X0] : ((~humble(X0) | old(X0)) => (~kind(X0) & calm(X0))) [input p0]
2. ! [X0] : (~calm(X0) <=> curious(X0)) [input p1]
8. ! [X0] : ((~wise(X0) | wise(X0)) => (curious(X0) & rich(X0))) [input p7]
10. ! ... | 0 |
Everyone who is old is either rich or creative.
If someone is generous then someone is patient.
Everyone who is either tall or not rich is both patient and not wise.
If john is not humble then someone is either wise or brave and vice versa.
Everyone who is not rich or not curious is both not generous and not happy.
Eve... | Alice is not old. | contradiction | (![X]:(old(X)=>(rich(X)<~>creative(X))))&
((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
(![X]:((tall(X)<~>~rich(X))=>(patient(X)&~wise(X))))&
((~humble(john))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((~rich(X)|~curious(X))=>(~generous(X)&~happy(X))))&
(![X]:((kind(X)|~tall(X))<=>happy(X)))&
(((~brave(alice)|generous(ali... | ~old(alice) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 142616828076384265061896
% SZS output start Proof for 142616828076384265061896
2. ? [X0] : generous(X0) => ? [X0] : patient(X0) [input p1]
3. ! [X0] : ((tall(X0) <~> ~rich(X0)) => (~wise(X0) & patient(X0))) [input p2]
5. ! [X0] : ((~curious(X0) | ~rich(X0)) => (~happy(X0) & ~generous(X0))... | 0 |
If susan is strong then someone is not patient or not strong and vice versa. If someone is either calm or wise then someone is kind and vice versa. If lucy is both old and not quiet then someone is both strong and curious. Everyone who is both brave and funny is both old and quiet. If someone is both tall and patient t... | John is rich. | contradiction | ((strong(susan))<=>(?[X]:((~patient(X)|~strong(X)))))&
((?[X]:((calm(X)<~>wise(X))))<=>(?[X]:(kind(X))))&
(((old(lucy)&~quiet(lucy)))=>(?[X]:((strong(X)&curious(X)))))&
(![X]:((brave(X)&funny(X))=>(old(X)&quiet(X))))&
((?[X]:((tall(X)&patient(X))))<=>(?[X]:((brave(X)|~calm(X)))))&
((?[X]:((funny(X)<~>old(X))))<=>((calm... | rich(john) | [
"p9",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7491074974771658428161091
% SZS output start Proof for 7491074974771658428161091
10. ! [X0] : ((~humble(X0) | kind(X0)) <=> (patient(X0) & ~happy(X0))) [input p9]
11. ! [X0] : ((rich(X0) | ~calm(X0)) => (~humble(X0) | ~rich(X0))) [input p10]
12. ! [X0] : ((~old(X0) | ~rich(X0)) => happy(X... | 0 |
Everyone who is not rich is either not quiet or old and vice versa.
Everyone who is not patient is both not patient and tall.
If john is both not rich and happy then someone is both funny and not funny.
If susan is either happy or not generous then mary is not tall.
If someone is both not quiet and not rich then someon... | Mary is tall. | contradiction | (![X]:(~rich(X)<=>(~quiet(X)<~>old(X))))&
(![X]:(~patient(X)=>(~patient(X)&tall(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((funny(X)&~funny(X)))))&
(((happy(susan)<~>~generous(susan)))=>(~tall(mary)))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(funny(X))))&
(![X]:(hap... | tall(mary) | [
"p4",
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4486611406848547088850201
% SZS output start Proof for 4486611406848547088850201
5. ? [X0] : (~rich(X0) & ~quiet(X0)) <=> ? [X0] : tall(X0) [input p4]
6. ? [X0] : (~kind(X0) | ~creative(X0)) => ? [X0] : funny(X0) [input p5]
9. ! [X0] : (~rich(X0) <=> (~creative(X0) & ~quiet(X0))) [input p... | 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... | John is not brave. | 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)&... | ~brave(john) | [
"p0",
"p5",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5037517523344005822480002
% SZS output start Proof for 5037517523344005822480002
1. ! [X0] : (~generous(X0) <=> (curious(X0) | ~tall(X0))) [input p0]
6. ? [X0] : (~funny(X0) | ~generous(X0)) <=> (~patient(fred) & patient(fred)) [input p5]
7. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (~hum... | 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 ... | Lucy is humble. | 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)|... | humble(lucy) | [
"p1",
"p2",
"p9",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 335084139409588822775106
% SZS output start Proof for 335084139409588822775106
2. ! [X0] : (generous(X0) <=> ~happy(X0)) [input p1]
3. ! [X0] : ((~generous(X0) & tall(X0)) => creative(X0)) [input p2]
10. ? [X0] : (wise(X0) <~> ~calm(X0)) <=> ~humble(lucy) [input p9]
14. ! [X0] : ((~curiou... | 0 |
If someone is not generous then paul is calm or not wise and vice versa. If someone is not generous or not wise then susan is both not kind and not old. If alice is either generous or patient then someone is not creative or not humble. Everyone who is both brave and not humble is patient or not kind and vice versa. Eve... | John is not brave. | contradiction | ((?[X]:(~generous(X)))<=>((calm(paul)|~wise(paul))))&
((?[X]:((~generous(X)|~wise(X))))=>((~kind(susan)&~old(susan))))&
(((generous(alice)<~>patient(alice)))=>(?[X]:((~creative(X)|~humble(X)))))&
(![X]:((brave(X)&~humble(X))<=>(patient(X)|~kind(X))))&
(![X]:((~old(X)<~>~brave(X))=>(rich(X)|curious(X))))&
((?[X]:((~brav... | ~brave(john) | [
"p5",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3141089603173837496906115
% SZS output start Proof for 3141089603173837496906115
6. ? [X0] : (kind(X0) | ~brave(X0)) => (creative(mary) & tall(mary)) [input p5]
12. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> (generous(X0) | funny(X0))) [input p11]
19. ~happy(mary) & funny(mary) [input p18]... | 0 |
If someone is creative or not strong then someone is wise. Everyone who is not humble is not strong. Everyone who is either funny or kind is both not brave and tall. Everyone who is patient is either not funny or not tall and vice versa. Everyone who is patient is both not kind and humble and vice versa. Everyone who i... | Alice is tall. | entailment | ((?[X]:((creative(X)|~strong(X))))=>(?[X]:(wise(X))))&
(![X]:(~humble(X)=>~strong(X)))&
(![X]:((funny(X)<~>kind(X))=>(~brave(X)&tall(X))))&
(![X]:(patient(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:(patient(X)<=>(~kind(X)&humble(X))))&
(![X]:((tall(X)|~rich(X))=>strong(X)))&
((?[X]:(~patient(X)))=>(?[X]:((creative(X)<~>~gene... | tall(alice) | [
"p2",
"p3",
"p4",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8903610657940769833754339
% SZS output start Proof for 8903610657940769833754339
3. ! [X0] : ((funny(X0) <~> kind(X0)) => (tall(X0) & ~brave(X0))) [input p2]
4. ! [X0] : (patient(X0) <=> (~funny(X0) <~> ~tall(X0))) [input p3]
5. ! [X0] : (patient(X0) <=> (humble(X0) & ~kind(X0))) [input p... | 0 |
Everyone who is both brave and strong is either not wise or not calm.
Everyone who is not calm is wise and vice versa.
Everyone who is either wise or not generous is both not tall and not creative.
If fred is happy then fred is not old.
If lucy is either curious or not calm then someone is funny or not calm.
If someone... | Paul is wise. | entailment | (![X]:((brave(X)&strong(X))=>(~wise(X)<~>~calm(X))))&
(![X]:(~calm(X)<=>wise(X)))&
(![X]:((wise(X)<~>~generous(X))=>(~tall(X)&~creative(X))))&
((happy(fred))=>(~old(fred)))&
(((curious(lucy)<~>~calm(lucy)))=>(?[X]:((funny(X)|~calm(X)))))&
((?[X]:((~calm(X)&~creative(X))))=>((~happy(lucy)|humble(lucy))))&
(![X]:((~brave... | wise(paul) | [
"p1",
"p2",
"p6",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7654618528009317593195465
% SZS output start Proof for 7654618528009317593195465
2. ! [X0] : (~calm(X0) <=> wise(X0)) [input p1]
3. ! [X0] : ((wise(X0) <~> ~generous(X0)) => (~creative(X0) & ~tall(X0))) [input p2]
7. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~old(X0) & ~calm(X0))) [input p... | 0 |
If susan is both kind and rich then john is calm or kind.
Everyone who is old or kind is both old and creative and vice versa.
Everyone who is not generous is brave or not rich and vice versa.
Everyone who is either funny or not creative is either calm or wise and vice versa.
Everyone who is either quiet or not old is ... | Paul is not wise. | contradiction | (((kind(susan)&rich(susan)))=>((calm(john)|kind(john))))&
(![X]:((old(X)|kind(X))<=>(old(X)&creative(X))))&
(![X]:(~generous(X)<=>(brave(X)|~rich(X))))&
(![X]:((funny(X)<~>~creative(X))<=>(calm(X)<~>wise(X))))&
(![X]:((quiet(X)<~>~old(X))=>(~strong(X)&~quiet(X))))&
(![X]:(happy(X)=>(happy(X)<~>strong(X))))&
((?[X]:((cr... | ~wise(paul) | [
"p8",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 514775168397122336590771
% SZS output start Proof for 514775168397122336590771
9. ! [X0] : ((~calm(X0) | creative(X0)) => (generous(X0) & creative(X0))) [input p8]
13. ! [X0] : ((kind(X0) | creative(X0)) <=> (~creative(X0) & patient(X0))) [input p12]
14. ! [X0] : (brave(X0) <=> (~wise(X0)... | 0 |
Everyone who is both wise and curious is not old or not rich.
If someone is both funny and not tall then someone is not creative.
If lucy is old or brave then paul is strong and vice versa.
Everyone who is not quiet is either not tall or tall.
Everyone who is not quiet or wise is patient or generous.
If someone is calm... | Fred is humble. | neutral | (![X]:((wise(X)&curious(X))=>(~old(X)|~rich(X))))&
((?[X]:((funny(X)&~tall(X))))=>(?[X]:(~creative(X))))&
(((old(lucy)|brave(lucy)))<=>(strong(paul)))&
(![X]:(~quiet(X)=>(~tall(X)<~>tall(X))))&
(![X]:((~quiet(X)|wise(X))=>(patient(X)|generous(X))))&
((?[X]:(calm(X)))=>((~happy(paul)|patient(paul))))&
((?[X]:((wise(X)&q... | humble(fred) | [] | null | 0 |
If someone is either patient or humble then someone is not wise or not brave and vice versa.
Everyone who is not old is both funny and not happy.
Everyone who is either brave or humble is patient and vice versa.
If john is both brave and quiet then fred is both not creative and kind and vice versa.
Everyone who is not ... | Susan is generous. | contradiction | ((?[X]:((patient(X)<~>humble(X))))<=>(?[X]:((~wise(X)|~brave(X)))))&
(![X]:(~old(X)=>(funny(X)&~happy(X))))&
(![X]:((brave(X)<~>humble(X))<=>patient(X)))&
(((brave(john)&quiet(john)))<=>((~creative(fred)&kind(fred))))&
(![X]:(~kind(X)=>(strong(X)<~>quiet(X))))&
(((kind(john)&patient(john)))=>((~brave(paul)&~strong(paul... | generous(susan) | [
"p1",
"p8",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7464367888757714498653924
% SZS output start Proof for 7464367888757714498653924
2. ! [X0] : (~old(X0) => (~happy(X0) & funny(X0))) [input p1]
9. ! [X0] : (~rich(X0) <=> (tall(X0) & ~funny(X0))) [input p8]
10. ! [X0] : ((~wise(X0) & curious(X0)) <=> ~happy(X0)) [input p9]
15. ! [X0] : ((~... | 0 |
Everyone who is either brave or not patient is not old and vice versa.
If someone is humble then someone is both humble and not humble.
Everyone who is either patient or not old is either not rich or not kind and vice versa.
Everyone who is both patient and not strong is old and vice versa.
Everyone who is old or not t... | John is brave. | contradiction | (![X]:((brave(X)<~>~patient(X))<=>~old(X)))&
((?[X]:(humble(X)))=>(?[X]:((humble(X)&~humble(X)))))&
(![X]:((patient(X)<~>~old(X))<=>(~rich(X)<~>~kind(X))))&
(![X]:((patient(X)&~strong(X))<=>old(X)))&
(![X]:((old(X)|~tall(X))<=>(~calm(X)<~>quiet(X))))&
(![X]:(rich(X)<=>(tall(X)|curious(X))))&
(((~wise(fred)<~>~strong(fr... | brave(john) | [
"p0",
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4077915260226624200315768
% SZS output start Proof for 4077915260226624200315768
1. ! [X0] : ((brave(X0) <~> ~patient(X0)) <=> ~old(X0)) [input p0]
4. ! [X0] : ((~strong(X0) & patient(X0)) <=> old(X0)) [input p3]
16. old(john) & ~happy(john) [input p15]
22. brave(john) [input hypothesis]
... | 0 |
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vice versa.
If someone is both curious and wise then mary is either hap... | Fred is not quiet. | contradiction | (((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&
(((calm(paul)|wise(paul)))<=>(?[X]:(~funny(X))))&
(![X]:... | ~quiet(fred) | [
"p2",
"p7",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7767106979001797499109734
% SZS output start Proof for 7767106979001797499109734
3. ! [X0] : (~funny(X0) <=> (calm(X0) | funny(X0))) [input p2]
8. ! [X0] : ((~creative(X0) & ~funny(X0)) <=> happy(X0)) [input p7]
10. ! [X0] : ((happy(X0) & ~patient(X0)) <=> (~calm(X0) <~> creative(X0))) [i... | 0 |
If alice is both old and not humble then someone is either not creative or not generous and vice versa.
If someone is brave or not wise then someone is both generous and calm.
Everyone who is both strong and not strong is generous and vice versa.
Everyone who is not wise or humble is rich or not strong.
Everyone who is... | Alice is kind. | neutral | (((old(alice)&~humble(alice)))<=>(?[X]:((~creative(X)<~>~generous(X)))))&
((?[X]:((brave(X)|~wise(X))))=>(?[X]:((generous(X)&calm(X)))))&
(![X]:((strong(X)&~strong(X))<=>generous(X)))&
(![X]:((~wise(X)|humble(X))=>(rich(X)|~strong(X))))&
(![X]:((~tall(X)|old(X))=>(funny(X)<~>tall(X))))&
(![X]:((brave(X)|creative(X))<=>... | kind(alice) | [] | null | 0 |
Everyone who is not creative or not rich is not rich or tall.
Everyone who is rich or patient is quiet.
Everyone who is not wise or quiet is not old.
Everyone who is not strong or curious is calm.
If susan is both not patient and calm then paul is both not rich and kind.
Everyone who is either not quiet or not generous... | Paul is tall. | neutral | (![X]:((~creative(X)|~rich(X))=>(~rich(X)|tall(X))))&
(![X]:((rich(X)|patient(X))=>quiet(X)))&
(![X]:((~wise(X)|quiet(X))=>~old(X)))&
(![X]:((~strong(X)|curious(X))=>calm(X)))&
(((~patient(susan)&calm(susan)))=>((~rich(paul)&kind(paul))))&
(![X]:((~quiet(X)<~>~generous(X))=>quiet(X)))&
(![X]:((kind(X)&~calm(X))=>(~kind... | tall(paul) | [] | null | 0 |
Everyone who is not creative is humble and vice versa. If someone is not brave then someone is not old or not quiet. Everyone who is not patient is either not strong or not quiet. Everyone who is not creative is both not creative and not tall and vice versa. If alice is not curious then fred is not calm and vice versa.... | Mary is tall. | neutral | (![X]:(~creative(X)<=>humble(X)))&
((?[X]:(~brave(X)))=>(?[X]:((~old(X)|~quiet(X)))))&
(![X]:(~patient(X)=>(~strong(X)<~>~quiet(X))))&
(![X]:(~creative(X)<=>(~creative(X)&~tall(X))))&
((~curious(alice))<=>(~calm(fred)))&
(![X]:((rich(X)<~>~humble(X))<=>funny(X)))&
(![X]:((creative(X)<~>~kind(X))=>(brave(X)|happy(X))))&... | tall(mary) | [] | null | 0 |
If paul is both not strong and strong then someone is both not old and not quiet and vice versa. Everyone who is strong or generous is both old and strong and vice versa. If someone is not creative or not quiet then someone is both humble and not quiet. Everyone who is both not humble and curious is both not calm and g... | Alice is curious. | contradiction | (((~strong(paul)&strong(paul)))<=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((strong(X)|generous(X))<=>(old(X)&strong(X))))&
((?[X]:((~creative(X)|~quiet(X))))=>(?[X]:((humble(X)&~quiet(X)))))&
(![X]:((~humble(X)&curious(X))=>(~calm(X)&generous(X))))&
(((patient(john)<~>~calm(john)))<=>(?[X]:((~patient(X)<~>old(X)))))&
(![X... | curious(alice) | [
"p0",
"p1",
"p2",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8755170452957376832941631
% SZS output start Proof for 8755170452957376832941631
1. (strong(paul) & ~strong(paul)) <=> ? [X0] : (~quiet(X0) & ~old(X0)) [input p0]
2. ! [X0] : ((generous(X0) | strong(X0)) <=> (strong(X0) & old(X0))) [input p1]
3. ? [X0] : (~quiet(X0) | ~creative(X0)) => ? ... | 0 |
If mary is both not happy and rich then someone is either not quiet or kind and vice versa.
Everyone who is calm or humble is not strong or patient.
Everyone who is either patient or not humble is not patient or not quiet.
Everyone who is either not curious or not brave is rich or not tall and vice versa.
If mary is bo... | Paul is not curious. | contradiction | (((~happy(mary)&rich(mary)))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(![X]:((calm(X)|humble(X))=>(~strong(X)|patient(X))))&
(![X]:((patient(X)<~>~humble(X))=>(~patient(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(rich(X)|~tall(X))))&
(((~creative(mary)&~humble(mary)))=>(?[X]:(rich(X))))&
(![X]:((kind(X)&quiet(X))<=>... | ~curious(paul) | [
"p3",
"p5",
"p6",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2162179738007030803370585
% SZS output start Proof for 2162179738007030803370585
4. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> (~tall(X0) | rich(X0))) [input p3]
6. ! [X0] : ((quiet(X0) & kind(X0)) <=> (rich(X0) | tall(X0))) [input p5]
7. ? [X0] : (calm(X0) & rich(X0)) <=> ? [X0] : (humb... | 0 |
Everyone who is patient or rich is either brave or not happy and vice versa.
Everyone who is not patient or brave is not happy or not calm and vice versa.
If someone is not generous or not rich then mary is wise.
Everyone who is not humble or curious is generous and vice versa.
Everyone who is both funny and patient is... | Mary is old. | entailment | (![X]:((patient(X)|rich(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~patient(X)|brave(X))<=>(~happy(X)|~calm(X))))&
((?[X]:((~generous(X)|~rich(X))))=>(wise(mary)))&
(![X]:((~humble(X)|curious(X))<=>generous(X)))&
(![X]:((funny(X)&patient(X))=>(~rich(X)|~old(X))))&
((?[X]:((quiet(X)&~generous(X))))=>(?[X]:((kind(X)|~calm(X... | old(mary) | [
"p0",
"p1",
"p6",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7003838505180344595311353
% SZS output start Proof for 7003838505180344595311353
1. ! [X0] : ((rich(X0) | patient(X0)) <=> (brave(X0) <~> ~happy(X0))) [input p0]
2. ! [X0] : ((brave(X0) | ~patient(X0)) <=> (~calm(X0) | ~happy(X0))) [input p1]
7. ! [X0] : ((~brave(X0) <~> old(X0)) <=> ~cur... | 0 |
If susan is happy then john is either tall or not tall and vice versa.
If john is either generous or not kind then john is not strong or humble and vice versa.
Everyone who is tall is not curious or patient.
Everyone who is either quiet or not creative is not kind or happy and vice versa.
Everyone who is not rich or pa... | Paul is kind. | entailment | ((happy(susan))<=>((tall(john)<~>~tall(john))))&
(((generous(john)<~>~kind(john)))<=>((~strong(john)|humble(john))))&
(![X]:(tall(X)=>(~curious(X)|patient(X))))&
(![X]:((quiet(X)<~>~creative(X))<=>(~kind(X)|happy(X))))&
(![X]:((~rich(X)|patient(X))=>(~strong(X)&happy(X))))&
(![X]:((calm(X)&kind(X))<=>(~wise(X)|calm(X))... | kind(paul) | [
"p5",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6041655011129676048640263
% SZS output start Proof for 6041655011129676048640263
6. ! [X0] : ((kind(X0) & calm(X0)) <=> (calm(X0) | ~wise(X0))) [input p5]
9. ! [X0] : ((wise(X0) | calm(X0)) <=> (~tall(X0) & strong(X0))) [input p8]
10. ! [X0] : (~wise(X0) <=> (~humble(X0) | ~old(X0))) [inp... | 0 |
If paul is kind or not creative then fred is either not kind or not generous and vice versa.
Everyone who is not old is patient.
Everyone who is both generous and patient is strong or not quiet and vice versa.
If someone is both humble and patient then someone is both not patient and not brave and vice versa.
If john i... | Fred is not generous. | neutral | (((kind(paul)|~creative(paul)))<=>((~kind(fred)<~>~generous(fred))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:((generous(X)&patient(X))<=>(strong(X)|~quiet(X))))&
((?[X]:((humble(X)&patient(X))))<=>(?[X]:((~patient(X)&~brave(X)))))&
(((tall(john)&rich(john)))=>(?[X]:(creative(X))))&
((~humble(susan))=>(?[X]:((~humble(X)&~w... | ~generous(fred) | [] | null | 0 |
Everyone who is both generous and strong is not funny or rich and vice versa. If someone is both funny and brave then alice is both rich and curious and vice versa. If lucy is both calm and not strong then someone is either calm or creative and vice versa. Everyone who is both not kind and not rich is either creative o... | Alice is not quiet. | entailment | (![X]:((generous(X)&strong(X))<=>(~funny(X)|rich(X))))&
((?[X]:((funny(X)&brave(X))))<=>((rich(alice)&curious(alice))))&
(((calm(lucy)&~strong(lucy)))<=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((~kind(X)&~rich(X))<=>(creative(X)<~>kind(X))))&
(![X]:((~quiet(X)&~happy(X))<=>generous(X)))&
((?[X]:(~patient(X)))=>(brave(... | ~quiet(alice) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p9",
"p10",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2857311068889982437627175
% SZS output start Proof for 2857311068889982437627175
1. ! [X0] : ((strong(X0) & generous(X0)) <=> (rich(X0) | ~funny(X0))) [input p0]
2. ? [X0] : (brave(X0) & funny(X0)) <=> (curious(alice) & rich(alice)) [input p1]
3. (~strong(lucy) & calm(lucy)) <=> ? [X0] : ... | 0 |
Everyone who is not patient is both not rich and rich and vice versa.
If someone is kind then fred is both quiet and not humble and vice versa.
Everyone who is not wise is patient or not patient and vice versa.
If someone is strong then someone is both not funny and not old.
Everyone who is not rich is either not funny... | Fred is not quiet. | contradiction | (![X]:(~patient(X)<=>(~rich(X)&rich(X))))&
((?[X]:(kind(X)))<=>((quiet(fred)&~humble(fred))))&
(![X]:(~wise(X)<=>(patient(X)|~patient(X))))&
((?[X]:(strong(X)))=>(?[X]:((~funny(X)&~old(X)))))&
(![X]:(~rich(X)<=>(~funny(X)<~>~creative(X))))&
(![X]:(~calm(X)=>(quiet(X)&generous(X))))&
(![X]:(~funny(X)=>(curious(X)|kind(X... | ~quiet(fred) | [
"p1",
"p3",
"p6",
"p8",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3705252689099560290967845
% SZS output start Proof for 3705252689099560290967845
2. ? [X0] : kind(X0) <=> (~humble(fred) & quiet(fred)) [input p1]
4. ? [X0] : strong(X0) => ? [X0] : (~old(X0) & ~funny(X0)) [input p3]
7. ! [X0] : (~funny(X0) => (kind(X0) | curious(X0))) [input p6]
9. ! [X0... | 0 |
If someone is creative then mary is not kind or not brave. Everyone who is both old and not quiet is either not funny or not generous. If someone is not brave or not kind then paul is not wise and vice versa. Everyone who is either not wise or not tall is not kind or kind. Everyone who is both creative and not kind is ... | Mary is not tall. | entailment | ((?[X]:(creative(X)))=>((~kind(mary)|~brave(mary))))&
(![X]:((old(X)&~quiet(X))=>(~funny(X)<~>~generous(X))))&
((?[X]:((~brave(X)|~kind(X))))<=>(~wise(paul)))&
(![X]:((~wise(X)<~>~tall(X))=>(~kind(X)|kind(X))))&
(![X]:((creative(X)&~kind(X))<=>(~kind(X)<~>patient(X))))&
(![X]:((curious(X)&~tall(X))<=>brave(X)))&
(![X]:... | ~tall(mary) | [
"p2",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3659822614495446801291932
% SZS output start Proof for 3659822614495446801291932
3. ? [X0] : (~kind(X0) | ~brave(X0)) <=> ~wise(paul) [input p2]
6. ! [X0] : ((~tall(X0) & curious(X0)) <=> brave(X0)) [input p5]
7. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (wise(X0) & kind(X0))) [input p... | 0 |
If someone is not patient then fred is either not curious or not happy and vice versa.
If someone is not quiet then someone is both generous and not quiet and vice versa.
Everyone who is not tall or tall is either patient or not happy.
Everyone who is either curious or happy is both brave and not brave and vice versa.
... | Mary is brave. | neutral | ((?[X]:(~patient(X)))<=>((~curious(fred)<~>~happy(fred))))&
((?[X]:(~quiet(X)))<=>(?[X]:((generous(X)&~quiet(X)))))&
(![X]:((~tall(X)|tall(X))=>(patient(X)<~>~happy(X))))&
(![X]:((curious(X)<~>happy(X))<=>(brave(X)&~brave(X))))&
((~creative(mary))<=>((brave(mary)<~>tall(mary))))&
(![X]:(~creative(X)=>generous(X)))&
((?... | brave(mary) | [] | null | 0 |
If alice is either not strong or not rich then paul is strong. If john is wise then fred is calm or strong. Everyone who is curious or not kind is quiet. If someone is quiet or calm then fred is both not curious and quiet and vice versa. If someone is not curious then someone is not funny or not brave. If someone is no... | John is not funny. | neutral | (((~strong(alice)<~>~rich(alice)))=>(strong(paul)))&
((wise(john))=>((calm(fred)|strong(fred))))&
(![X]:((curious(X)|~kind(X))=>quiet(X)))&
((?[X]:((quiet(X)|calm(X))))<=>((~curious(fred)&quiet(fred))))&
((?[X]:(~curious(X)))=>(?[X]:((~funny(X)|~brave(X)))))&
((?[X]:((~brave(X)|calm(X))))=>(?[X]:((generous(X)<~>~calm(X... | ~funny(john) | [] | null | 0 |
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