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 |
|---|---|---|---|---|---|---|---|
Everyone who is creative is not tall and vice versa.
Everyone who is either curious or creative is funny.
Everyone who is creative or tall is both not kind and quiet and vice versa.
Everyone who is not humble or not creative is either not creative or funny and vice versa.
Everyone who is not happy is patient or not cre... | Lucy is happy. | entailment | (![X]:(creative(X)<=>~tall(X)))&
(![X]:((curious(X)<~>creative(X))=>funny(X)))&
(![X]:((creative(X)|tall(X))<=>(~kind(X)&quiet(X))))&
(![X]:((~humble(X)|~creative(X))<=>(~creative(X)<~>funny(X))))&
(![X]:(~happy(X)<=>(patient(X)|~creative(X))))&
(![X]:(~humble(X)=>(tall(X)|happy(X))))&
(![X]:(~humble(X)<=>(~rich(X)&pat... | happy(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6963043644051318508641644
% SZS output start Proof for 6963043644051318508641644
1. ! [X0] : (creative(X0) <=> ~tall(X0)) [input p0]
2. ! [X0] : ((curious(X0) <~> creative(X0)) => funny(X0)) [input p1]
3. ! [X0] : ((tall(X0) | creative(X0)) <=> (quiet(X0) & ~kind(X0))) [input p2]
4. ! [X0... | 0 |
Everyone who is creative or not strong is either calm or rich and vice versa.
If mary is not quiet then someone is both generous and happy.
Everyone who is both creative and humble is either not kind or not tall.
If someone is not curious or creative then susan is both not creative and not quiet and vice versa.
If fred... | Mary is quiet. | neutral | (![X]:((creative(X)|~strong(X))<=>(calm(X)<~>rich(X))))&
((~quiet(mary))=>(?[X]:((generous(X)&happy(X)))))&
(![X]:((creative(X)&humble(X))=>(~kind(X)<~>~tall(X))))&
((?[X]:((~curious(X)|creative(X))))<=>((~creative(susan)&~quiet(susan))))&
(((~strong(fred)&patient(fred)))=>((~calm(alice)|~strong(alice))))&
(((humble(lu... | quiet(mary) | [] | null | 0 |
If john is not happy or tall then paul is both not rich and wise and vice versa.
Everyone who is either strong or calm is either calm or old.
Everyone who is either not tall or happy is calm.
If paul is rich then alice is brave.
If john is both funny and not curious then someone is generous or patient and vice versa.
I... | Mary is not brave. | contradiction | (((~happy(john)|tall(john)))<=>((~rich(paul)&wise(paul))))&
(![X]:((strong(X)<~>calm(X))=>(calm(X)<~>old(X))))&
(![X]:((~tall(X)<~>happy(X))=>calm(X)))&
((rich(paul))=>(brave(alice)))&
(((funny(john)&~curious(john)))<=>(?[X]:((generous(X)|patient(X)))))&
((?[X]:((rich(X)<~>~wise(X))))=>(?[X]:(creative(X))))&
(((~patien... | ~brave(mary) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3796021501560562909183083
% SZS output start Proof for 3796021501560562909183083
9. ! [X0] : ((~strong(X0) <~> ~humble(X0)) <=> strong(X0)) [input p8]
15. ! [X0] : ((brave(X0) & quiet(X0)) <=> (~quiet(X0) | ~humble(X0))) [input p14]
24. ~brave(mary) [input hypothesis]
55. ! [X0] : ((((hum... | 0 |
Everyone who is both not generous and not humble is strong or happy.
If someone is both not patient and not strong then alice is not humble or not patient and vice versa.
If susan is either generous or not quiet then someone is tall and vice versa.
Everyone who is both old and not rich is calm or not calm.
If lucy is n... | Fred is not calm. | entailment | (![X]:((~generous(X)&~humble(X))=>(strong(X)|happy(X))))&
((?[X]:((~patient(X)&~strong(X))))<=>((~humble(alice)|~patient(alice))))&
(((generous(susan)<~>~quiet(susan)))<=>(?[X]:(tall(X))))&
(![X]:((old(X)&~rich(X))=>(calm(X)|~calm(X))))&
(((~brave(lucy)|~strong(lucy)))<=>(~generous(mary)))&
(((~old(lucy)|~rich(lucy)))<... | ~calm(fred) | [
"p7",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4444919637816471795740368
% SZS output start Proof for 4444919637816471795740368
8. ? [X0] : (~quiet(X0) | kind(X0)) <=> ~curious(fred) [input p7]
13. ! [X0] : (quiet(X0) => (~funny(X0) & ~calm(X0))) [input p12]
21. ~brave(fred) & curious(fred) [input p20]
25. calm(fred) [input hypothesis... | 0 |
Everyone who is tall is not patient.
If someone is not strong or not generous then someone is either not funny or not old and vice versa.
Everyone who is not wise or happy is not rich and vice versa.
Everyone who is both humble and brave is not tall.
Everyone who is not curious is both generous and not kind and vice ve... | Susan is funny. | neutral | (![X]:(tall(X)=>~patient(X)))&
((?[X]:((~strong(X)|~generous(X))))<=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~wise(X)|happy(X))<=>~rich(X)))&
(![X]:((humble(X)&brave(X))=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:((~quiet(X)&quiet(X))<=>(~humble(X)|kind(... | funny(susan) | [] | null | 0 |
Everyone who is both brave and not creative is either curious or kind and vice versa.
Everyone who is wise or not curious is both not creative and not patient.
If someone is both not rich and not old then someone is either rich or curious.
Everyone who is both humble and creative is not quiet or kind and vice versa.
Ev... | Susan is funny. | contradiction | (![X]:((brave(X)&~creative(X))<=>(curious(X)<~>kind(X))))&
(![X]:((wise(X)|~curious(X))=>(~creative(X)&~patient(X))))&
((?[X]:((~rich(X)&~old(X))))=>(?[X]:((rich(X)<~>curious(X)))))&
(![X]:((humble(X)&creative(X))<=>(~quiet(X)|kind(X))))&
(![X]:(humble(X)=>wise(X)))&
(![X]:((~happy(X)&~funny(X))=>(~strong(X)&happy(X)))... | funny(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6782370593544630778902494
% SZS output start Proof for 6782370593544630778902494
10. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p9]
21. funny(susan) [input hypothesis]
43. ! [X0] : (((funny(X0) | ~calm(X0)) | funny(X0)) & (~funny(X0) | (~funny(X0) & calm(X0)))) [nnf transfor... | 0 |
Everyone who is either not brave or not calm is not patient and vice versa. Everyone who is kind is both wise and not funny and vice versa. Everyone who is not quiet or not wise is not strong. Everyone who is both not calm and not kind is kind and vice versa. Everyone who is either strong or not humble is patient or wi... | Mary is not kind. | entailment | (![X]:((~brave(X)<~>~calm(X))<=>~patient(X)))&
(![X]:(kind(X)<=>(wise(X)&~funny(X))))&
(![X]:((~quiet(X)|~wise(X))=>~strong(X)))&
(![X]:((~calm(X)&~kind(X))<=>kind(X)))&
(![X]:((strong(X)<~>~humble(X))=>(patient(X)|wise(X))))&
((~patient(lucy))<=>(?[X]:(~kind(X))))&
(![X]:((patient(X)|generous(X))<=>(~generous(X)&~curi... | ~kind(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4026277439007379669727366
% SZS output start Proof for 4026277439007379669727366
4. ! [X0] : ((~kind(X0) & ~calm(X0)) <=> kind(X0)) [input p3]
23. kind(mary) [input hypothesis]
39. ! [X0] : (((~kind(X0) & ~calm(X0)) | ~kind(X0)) & (kind(X0) | (kind(X0) | calm(X0)))) [nnf transformation 4]... | 0 |
Everyone who is both not kind and brave is not curious or not wise.
Everyone who is either not happy or not curious is generous and vice versa.
If paul is not creative then fred is not rich or rich and vice versa.
If someone is either not humble or not rich then someone is both creative and not curious and vice versa.
... | Paul is old. | neutral | (![X]:((~kind(X)&brave(X))=>(~curious(X)|~wise(X))))&
(![X]:((~happy(X)<~>~curious(X))<=>generous(X)))&
((~creative(paul))<=>((~rich(fred)|rich(fred))))&
((?[X]:((~humble(X)<~>~rich(X))))<=>(?[X]:((creative(X)&~curious(X)))))&
(![X]:(rich(X)=>(~wise(X)&kind(X))))&
((~tall(susan))=>(?[X]:((rich(X)|~calm(X)))))&
((?[X]:(... | old(paul) | [] | null | 0 |
Everyone who is not funny or not generous is old or creative and vice versa.
Everyone who is calm or rich is not generous.
Everyone who is patient is not creative or quiet.
If someone is kind then john is either brave or happy.
If john is rich or not generous then someone is not brave or not creative and vice versa.
Ev... | Lucy is rich. | neutral | (![X]:((~funny(X)|~generous(X))<=>(old(X)|creative(X))))&
(![X]:((calm(X)|rich(X))=>~generous(X)))&
(![X]:(patient(X)=>(~creative(X)|quiet(X))))&
((?[X]:(kind(X)))=>((brave(john)<~>happy(john))))&
(((rich(john)|~generous(john)))<=>(?[X]:((~brave(X)|~creative(X)))))&
(![X]:((quiet(X)<~>strong(X))<=>(curious(X)|~old(X)))... | rich(lucy) | [] | null | 0 |
If someone is both strong and happy then fred is both not humble and rich.
If mary is rich or happy then fred is either not tall or happy and vice versa.
Everyone who is not rich or humble is not funny or not humble.
If someone is either quiet or not strong then someone is not generous.
Everyone who is not creative is ... | Fred is rich. | entailment | ((?[X]:((strong(X)&happy(X))))=>((~humble(fred)&rich(fred))))&
(((rich(mary)|happy(mary)))<=>((~tall(fred)<~>happy(fred))))&
(![X]:((~rich(X)|humble(X))=>(~funny(X)|~humble(X))))&
((?[X]:((quiet(X)<~>~strong(X))))=>(?[X]:(~generous(X))))&
(![X]:(~creative(X)<=>(old(X)<~>patient(X))))&
((?[X]:((~strong(X)<~>happy(X))))=... | rich(fred) | [
"p6",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8090315510869007275478812
% SZS output start Proof for 8090315510869007275478812
7. ! [X0] : ((~calm(X0) & ~humble(X0)) => (rich(X0) <~> humble(X0))) [input p6]
9. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~humble(X0)) [input p8]
13. ! [X0] : ((~old(X0) | ~calm(X0)) => ~happy(X0)) [input p12]... | 0 |
If fred is not creative then someone is either happy or not humble and vice versa.
If someone is both not happy and not tall then alice is humble and vice versa.
If mary is not rich then mary is not funny or not kind.
If lucy is strong or not rich then someone is creative and vice versa.
Everyone who is both not humble... | Lucy is rich. | contradiction | ((~creative(fred))<=>(?[X]:((happy(X)<~>~humble(X)))))&
((?[X]:((~happy(X)&~tall(X))))<=>(humble(alice)))&
((~rich(mary))=>((~funny(mary)|~kind(mary))))&
(((strong(lucy)|~rich(lucy)))<=>(?[X]:(creative(X))))&
(![X]:((~humble(X)&~wise(X))<=>(strong(X)<~>~wise(X))))&
(((rich(fred)<~>~calm(fred)))<=>(?[X]:((~funny(X)<~>~c... | rich(lucy) | [
"p3",
"p4",
"p10",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6146540668736305940167664
% SZS output start Proof for 6146540668736305940167664
4. (~rich(lucy) | strong(lucy)) <=> ? [X0] : creative(X0) [input p3]
5. ! [X0] : ((~wise(X0) & ~humble(X0)) <=> (strong(X0) <~> ~wise(X0))) [input p4]
11. ! [X0] : ((~calm(X0) <~> ~humble(X0)) <=> (curious(X0... | 0 |
Everyone who is creative is both not generous and generous and vice versa. If susan is both not kind and not calm then someone is either kind or not rich. If someone is rich then someone is both not creative and not calm. Everyone who is either old or humble is either not happy or not old. Everyone who is both funny an... | Fred is not creative. | entailment | (![X]:(creative(X)<=>(~generous(X)&generous(X))))&
(((~kind(susan)&~calm(susan)))=>(?[X]:((kind(X)<~>~rich(X)))))&
((?[X]:(rich(X)))=>(?[X]:((~creative(X)&~calm(X)))))&
(![X]:((old(X)<~>humble(X))=>(~happy(X)<~>~old(X))))&
(![X]:((funny(X)&wise(X))=>calm(X)))&
((?[X]:(calm(X)))=>(~kind(alice)))&
((?[X]:((~old(X)|kind(X... | ~creative(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3442209343568801070833087
% SZS output start Proof for 3442209343568801070833087
1. ! [X0] : (creative(X0) <=> (generous(X0) & ~generous(X0))) [input p0]
25. creative(fred) [input hypothesis]
41. ! [X0] : ((creative(X0) | (~generous(X0) | generous(X0))) & ((generous(X0) & ~generous(X0)) |... | 0 |
Everyone who is not quiet is not wise or not humble. If someone is either patient or generous then lucy is not creative. If someone is either not kind or happy then someone is wise. If someone is both patient and kind then someone is not rich and vice versa. Everyone who is not calm or brave is both not humble and not ... | Susan is brave. | neutral | (![X]:(~quiet(X)=>(~wise(X)|~humble(X))))&
((?[X]:((patient(X)<~>generous(X))))=>(~creative(lucy)))&
((?[X]:((~kind(X)<~>happy(X))))=>(?[X]:(wise(X))))&
((?[X]:((patient(X)&kind(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~calm(X)|brave(X))<=>(~humble(X)&~calm(X))))&
(((strong(mary)|quiet(mary)))=>((~creative(susan)<~>~brave(s... | brave(susan) | [] | null | 0 |
If fred is either not strong or calm then someone is brave.
If mary is either not wise or not humble then someone is either not rich or not strong and vice versa.
Everyone who is old or not rich is curious.
If mary is both kind and not humble then someone is wise.
Everyone who is happy is either not generous or not cur... | Alice is not patient. | entailment | (((~strong(fred)<~>calm(fred)))=>(?[X]:(brave(X))))&
(((~wise(mary)<~>~humble(mary)))<=>(?[X]:((~rich(X)<~>~strong(X)))))&
(![X]:((old(X)|~rich(X))=>curious(X)))&
(((kind(mary)&~humble(mary)))=>(?[X]:(wise(X))))&
(![X]:(happy(X)<=>(~generous(X)<~>~curious(X))))&
((~rich(paul))=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:((~... | ~patient(alice) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7433797902530716521921068
% SZS output start Proof for 7433797902530716521921068
7. ! [X0] : ((happy(X0) & ~patient(X0)) <=> (~tall(X0) | strong(X0))) [input p6]
13. ! [X0] : (humble(X0) <=> (strong(X0) <~> ~humble(X0))) [input p12]
24. patient(alice) [input hypothesis]
45. ! [X0] : (((ha... | 0 |
Everyone who is not rich or old is funny and vice versa. Everyone who is either not calm or not rich is either not generous or strong. Everyone who is either not calm or not strong is both not humble and not strong. If someone is both curious and brave then someone is not calm and vice versa. If someone is either happy... | Paul is quiet. | contradiction | (![X]:((~rich(X)|old(X))<=>funny(X)))&
(![X]:((~calm(X)<~>~rich(X))=>(~generous(X)<~>strong(X))))&
(![X]:((~calm(X)<~>~strong(X))=>(~humble(X)&~strong(X))))&
((?[X]:((curious(X)&brave(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((happy(X)<~>~kind(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~creative(X)<~>happy(X))=>(humble(X)|old(X... | quiet(paul) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 427669342800728123380592
% SZS output start Proof for 427669342800728123380592
8. ! [X0] : ((humble(X0) | ~kind(X0)) <=> ~quiet(X0)) [input p7]
13. ! [X0] : ((quiet(X0) | kind(X0)) <=> humble(X0)) [input p12]
25. quiet(paul) [input hypothesis]
58. ! [X0] : (((humble(X0) | ~kind(X0)) | qui... | 0 |
Everyone who is both generous and not humble is either generous or rich. Everyone who is both generous and quiet is not brave. Everyone who is both kind and not humble is both not brave and not calm and vice versa. Everyone who is not generous or not funny is both calm and not wise. If someone is both not tall and not ... | Lucy is not calm. | neutral | (![X]:((generous(X)&~humble(X))=>(generous(X)<~>rich(X))))&
(![X]:((generous(X)&quiet(X))=>~brave(X)))&
(![X]:((kind(X)&~humble(X))<=>(~brave(X)&~calm(X))))&
(![X]:((~generous(X)|~funny(X))=>(calm(X)&~wise(X))))&
((?[X]:((~tall(X)&~strong(X))))=>(?[X]:((~brave(X)<~>~rich(X)))))&
((?[X]:((wise(X)&happy(X))))<=>(?[X]:(hu... | ~calm(lucy) | [] | null | 0 |
If someone is both not calm and not wise then lucy is not quiet. Everyone who is both quiet and not happy is not calm and vice versa. Everyone who is not humble is not curious or calm and vice versa. Everyone who is not funny is both funny and not old. Everyone who is both not curious and not generous is either old or ... | Lucy is funny. | entailment | ((?[X]:((~calm(X)&~wise(X))))=>(~quiet(lucy)))&
(![X]:((quiet(X)&~happy(X))<=>~calm(X)))&
(![X]:(~humble(X)<=>(~curious(X)|calm(X))))&
(![X]:(~funny(X)=>(funny(X)&~old(X))))&
(![X]:((~curious(X)&~generous(X))<=>(old(X)<~>~rich(X))))&
((?[X]:((~humble(X)<~>brave(X))))<=>(?[X]:((curious(X)&~creative(X)))))&
(![X]:(~brave... | funny(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 437034725621272951272693
% SZS output start Proof for 437034725621272951272693
4. ! [X0] : (~funny(X0) => (~old(X0) & funny(X0))) [input p3]
25. ~funny(lucy) [input hypothesis]
28. ! [X0] : ((~old(X0) & funny(X0)) | funny(X0)) [ennf transformation 4]
76. funny(X0) | funny(X0) [cnf transfo... | 0 |
Everyone who is kind or humble is not kind or wise.
Everyone who is not wise or humble is not wise or tall and vice versa.
Everyone who is not kind is happy or old and vice versa.
If mary is not calm or rich then someone is either not kind or not calm.
If alice is either curious or not old then someone is either not ri... | Lucy is not creative. | entailment | (![X]:((kind(X)|humble(X))=>(~kind(X)|wise(X))))&
(![X]:((~wise(X)|humble(X))<=>(~wise(X)|tall(X))))&
(![X]:(~kind(X)<=>(happy(X)|old(X))))&
(((~calm(mary)|rich(mary)))=>(?[X]:((~kind(X)<~>~calm(X)))))&
(((curious(alice)<~>~old(alice)))=>(?[X]:((~rich(X)<~>~strong(X)))))&
(![X]:((curious(X)|wise(X))=>(calm(X)<~>humble(... | ~creative(lucy) | [
"p13",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4922332763464874394330719
% SZS output start Proof for 4922332763464874394330719
14. ? [X0] : (happy(X0) | ~old(X0)) <=> (~creative(lucy) <~> ~wise(lucy)) [input p13]
21. happy(alice) [input p20]
22. wise(lucy) [input p21]
25. creative(lucy) [input hypothesis]
61. (? [X0] : (happy(X0) | ~... | 0 |
Everyone who is either not humble or brave is either not happy or calm.
Everyone who is brave is curious and vice versa.
If john is not wise or not creative then john is brave and vice versa.
Everyone who is both not tall and tall is both curious and strong and vice versa.
Everyone who is both humble and not calm is ei... | John is brave. | contradiction | (![X]:((~humble(X)<~>brave(X))=>(~happy(X)<~>calm(X))))&
(![X]:(brave(X)<=>curious(X)))&
(((~wise(john)|~creative(john)))<=>(brave(john)))&
(![X]:((~tall(X)&tall(X))<=>(curious(X)&strong(X))))&
(![X]:((humble(X)&~calm(X))=>(funny(X)<~>~humble(X))))&
(![X]:(tall(X)<=>(~humble(X)&~quiet(X))))&
(![X]:((~brave(X)|strong(X)... | brave(john) | [
"p1",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6091087025760853128519510
% SZS output start Proof for 6091087025760853128519510
2. ! [X0] : (brave(X0) <=> curious(X0)) [input p1]
4. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (strong(X0) & curious(X0))) [input p3]
19. strong(john) [input p18]
24. brave(john) [input hypothesis]
39. ! [X0] : (... | 0 |
If someone is not calm then someone is brave.
Everyone who is either not quiet or generous is both brave and not strong.
If someone is not happy then someone is either funny or brave.
Everyone who is not humble or not calm is not happy or not funny.
Everyone who is creative or calm is strong.
Everyone who is not old is... | Paul is generous. | entailment | ((?[X]:(~calm(X)))=>(?[X]:(brave(X))))&
(![X]:((~quiet(X)<~>generous(X))=>(brave(X)&~strong(X))))&
((?[X]:(~happy(X)))=>(?[X]:((funny(X)<~>brave(X)))))&
(![X]:((~humble(X)|~calm(X))=>(~happy(X)|~funny(X))))&
(![X]:((creative(X)|calm(X))=>strong(X)))&
(![X]:(~old(X)<=>(old(X)|creative(X))))&
((?[X]:(~wise(X)))=>(~brave(... | generous(paul) | [
"p1",
"p4",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7503996403492957532589887
% SZS output start Proof for 7503996403492957532589887
2. ! [X0] : ((~quiet(X0) <~> generous(X0)) => (~strong(X0) & brave(X0))) [input p1]
5. ! [X0] : ((calm(X0) | creative(X0)) => strong(X0)) [input p4]
6. ! [X0] : (~old(X0) <=> (creative(X0) | old(X0))) [input ... | 0 |
Everyone who is either wise or humble is curious.
If someone is not quiet or not generous then someone is either tall or patient.
Everyone who is both quiet and not strong is both brave and happy.
Everyone who is not kind or funny is either not strong or not rich and vice versa.
If john is both happy and not strong the... | John is not rich. | neutral | (![X]:((wise(X)<~>humble(X))=>curious(X)))&
((?[X]:((~quiet(X)|~generous(X))))=>(?[X]:((tall(X)<~>patient(X)))))&
(![X]:((quiet(X)&~strong(X))=>(brave(X)&happy(X))))&
(![X]:((~kind(X)|funny(X))<=>(~strong(X)<~>~rich(X))))&
(((happy(john)&~strong(john)))<=>(?[X]:((~strong(X)<~>~generous(X)))))&
(![X]:((~strong(X)|wise(X... | ~rich(john) | [] | null | 0 |
Everyone who is funny is both not tall and not rich and vice versa. If someone is both tall and quiet then someone is both not old and not quiet. Everyone who is either curious or not curious is not old or kind and vice versa. Everyone who is not brave or curious is not curious and vice versa. If someone is curious or ... | John is not generous. | neutral | (![X]:(funny(X)<=>(~tall(X)&~rich(X))))&
((?[X]:((tall(X)&quiet(X))))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|kind(X))))&
(![X]:((~brave(X)|curious(X))<=>~curious(X)))&
((?[X]:((curious(X)|humble(X))))=>(creative(john)))&
((?[X]:((~kind(X)<~>~happy(X))))<=>((funny(alice)&~humble(ali... | ~generous(john) | [] | null | 0 |
Everyone who is both quiet and tall is both not funny and not generous.
If someone is tall then someone is both not humble and wise and vice versa.
Everyone who is either funny or not patient is quiet or creative.
Everyone who is not quiet is not tall and vice versa.
If someone is both quiet and not curious then someon... | John is generous. | entailment | (![X]:((quiet(X)&tall(X))=>(~funny(X)&~generous(X))))&
((?[X]:(tall(X)))<=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:((funny(X)<~>~patient(X))=>(quiet(X)|creative(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((quiet(X)&~curious(X))))=>(?[X]:((creative(X)&curious(X)))))&
(![X]:((~funny(X)&creative(X))<=>~curious(X)))&
((?[X... | generous(john) | [
"p3",
"p5",
"p7",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4303124322926332472276615
% SZS output start Proof for 4303124322926332472276615
4. ! [X0] : (~quiet(X0) <=> ~tall(X0)) [input p3]
6. ! [X0] : ((creative(X0) & ~funny(X0)) <=> ~curious(X0)) [input p5]
8. ! [X0] : ((strong(X0) & generous(X0)) <=> patient(X0)) [input p7]
10. ? [X0] : (~tall... | 0 |
Everyone who is rich is both creative and old and vice versa.
If someone is both happy and not funny then someone is not creative and vice versa.
Everyone who is either not quiet or calm is not creative.
Everyone who is quiet is both curious and not generous.
Everyone who is strong or rich is old or not calm.
Everyone ... | Mary is funny. | neutral | (![X]:(rich(X)<=>(creative(X)&old(X))))&
((?[X]:((happy(X)&~funny(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~quiet(X)<~>calm(X))=>~creative(X)))&
(![X]:(quiet(X)=>(curious(X)&~generous(X))))&
(![X]:((strong(X)|rich(X))=>(old(X)|~calm(X))))&
(![X]:((rich(X)|tall(X))=>generous(X)))&
(((~wise(mary)&funny(mary)))<=>(~humble(... | funny(mary) | [] | null | 0 |
If lucy is either not funny or not curious then fred is either not brave or generous and vice versa.
Everyone who is both not generous and curious is both not patient and humble and vice versa.
If fred is either not tall or brave then someone is both funny and brave and vice versa.
Everyone who is not happy or creative... | Susan is kind. | contradiction | (((~funny(lucy)<~>~curious(lucy)))<=>((~brave(fred)<~>generous(fred))))&
(![X]:((~generous(X)&curious(X))<=>(~patient(X)&humble(X))))&
(((~tall(fred)<~>brave(fred)))<=>(?[X]:((funny(X)&brave(X)))))&
(![X]:((~happy(X)|creative(X))<=>~patient(X)))&
(![X]:((brave(X)<~>~curious(X))=>quiet(X)))&
(![X]:((~wise(X)&strong(X))=... | kind(susan) | [
"p1",
"p4",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3548283085527595319245201
% SZS output start Proof for 3548283085527595319245201
2. ! [X0] : ((curious(X0) & ~generous(X0)) <=> (humble(X0) & ~patient(X0))) [input p1]
5. ! [X0] : ((brave(X0) <~> ~curious(X0)) => quiet(X0)) [input p4]
8. ! [X0] : ((~kind(X0) & brave(X0)) <=> (quiet(X0) | ... | 0 |
If john is not wise or curious then someone is either humble or not old and vice versa.
If someone is creative or not curious then mary is not generous and vice versa.
If someone is both generous and not humble then someone is not happy.
Everyone who is not creative is not calm or not tall.
Everyone who is either wise ... | Susan is not funny. | neutral | (((~wise(john)|curious(john)))<=>(?[X]:((humble(X)<~>~old(X)))))&
((?[X]:((creative(X)|~curious(X))))<=>(~generous(mary)))&
((?[X]:((generous(X)&~humble(X))))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)|~calm(X))))&
(![X]:((~wise(X)|creative(X))=>(~happy(... | ~funny(susan) | [] | null | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa. Everyone who is either funny or not patient is old or not creative. If lucy is not kind then someone is generous or not funny and vice versa. If susan is both not curious and humble then mary is either not curious or happy. Everyone who is wise or not ge... | Fred is humble. | entailment | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((funny(X)<~>~patient(X))=>(old(X)|~creative(X))))&
((~kind(lucy))<=>(?[X]:((generous(X)|~funny(X)))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~... | humble(fred) | [
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 958521895955483359214082
% SZS output start Proof for 958521895955483359214082
5. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p4]
6. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0) & ~generous(X0))) [input p5]
7. ! [X0] : ((kind(X0) & funny(X0)) <=> ~calm(... | 0 |
Everyone who is kind or humble is either not funny or not kind and vice versa.
If mary is kind then someone is strong.
If fred is not humble then lucy is humble and vice versa.
If someone is not happy or not quiet then someone is both happy and not funny and vice versa.
If someone is creative or rich then someone is no... | Mary is not wise. | entailment | (![X]:((kind(X)|humble(X))<=>(~funny(X)<~>~kind(X))))&
((kind(mary))=>(?[X]:(strong(X))))&
((~humble(fred))<=>(humble(lucy)))&
((?[X]:((~happy(X)|~quiet(X))))<=>(?[X]:((happy(X)&~funny(X)))))&
((?[X]:((creative(X)|rich(X))))<=>(?[X]:((~rich(X)|kind(X)))))&
(![X]:((~strong(X)<~>~humble(X))<=>(curious(X)&~quiet(X))))&
(!... | ~wise(mary) | [
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2862777497792260359821827
% SZS output start Proof for 2862777497792260359821827
10. ! [X0] : (wise(X0) <=> (tall(X0) & ~happy(X0))) [input p9]
11. ! [X0] : (strong(X0) => (creative(X0) & ~tall(X0))) [input p10]
16. ! [X0] : (~strong(X0) => (~tall(X0) & ~quiet(X0))) [input p15]
24. wise(m... | 0 |
If someone is not generous then someone is tall or not curious. Everyone who is both not wise and not patient is both not tall and not wise. Everyone who is either not curious or not generous is not old and vice versa. Everyone who is both humble and strong is both not creative and not quiet. If paul is either not happ... | Fred is curious. | contradiction | ((?[X]:(~generous(X)))=>(?[X]:((tall(X)|~curious(X)))))&
(![X]:((~wise(X)&~patient(X))=>(~tall(X)&~wise(X))))&
(![X]:((~curious(X)<~>~generous(X))<=>~old(X)))&
(![X]:((humble(X)&strong(X))=>(~creative(X)&~quiet(X))))&
(((~happy(paul)<~>tall(paul)))<=>((patient(fred)<~>generous(fred))))&
(![X]:((rich(X)<~>~wise(X))<=>~r... | curious(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1437346488903575179259900
% SZS output start Proof for 1437346488903575179259900
14. ! [X0] : (curious(X0) => (tall(X0) & ~tall(X0))) [input p13]
24. curious(fred) [input hypothesis]
45. ! [X0] : ((tall(X0) & ~tall(X0)) | ~curious(X0)) [ennf transformation 14]
100. ~tall(X0) | ~curious(X0... | 0 |
Everyone who is not rich or patient is both not generous and wise and vice versa. Everyone who is both not funny and not kind is not calm and vice versa. Everyone who is either brave or not kind is not tall or humble. If mary is not old then someone is not quiet and vice versa. Everyone who is calm is not generous or n... | Mary is happy. | neutral | (![X]:((~rich(X)|patient(X))<=>(~generous(X)&wise(X))))&
(![X]:((~funny(X)&~kind(X))<=>~calm(X)))&
(![X]:((brave(X)<~>~kind(X))=>(~tall(X)|humble(X))))&
((~old(mary))<=>(?[X]:(~quiet(X))))&
(![X]:(calm(X)<=>(~generous(X)|~curious(X))))&
(![X]:(~happy(X)<=>(~brave(X)|humble(X))))&
(![X]:((~creative(X)|funny(X))=>(tall(X... | happy(mary) | [] | null | 0 |
Everyone who is creative or funny is either not brave or not humble and vice versa.
If someone is both creative and happy then someone is either happy or not humble and vice versa.
Everyone who is curious or tall is brave.
Everyone who is creative or not funny is not creative and vice versa.
If someone is not funny or ... | Fred is old. | neutral | (![X]:((creative(X)|funny(X))<=>(~brave(X)<~>~humble(X))))&
((?[X]:((creative(X)&happy(X))))<=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:((curious(X)|tall(X))=>brave(X)))&
(![X]:((creative(X)|~funny(X))<=>~creative(X)))&
((?[X]:((~funny(X)|~strong(X))))=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~generous(X)|~curious... | old(fred) | [] | null | 0 |
If someone is either not rich or calm then someone is strong and vice versa.
If someone is brave or not strong then someone is rich or not calm and vice versa.
Everyone who is either calm or quiet is kind.
If lucy is either not calm or curious then john is both not curious and not wise.
Everyone who is not curious is h... | Paul is not wise. | entailment | ((?[X]:((~rich(X)<~>calm(X))))<=>(?[X]:(strong(X))))&
((?[X]:((brave(X)|~strong(X))))<=>(?[X]:((rich(X)|~calm(X)))))&
(![X]:((calm(X)<~>quiet(X))=>kind(X)))&
(((~calm(lucy)<~>curious(lucy)))=>((~curious(john)&~wise(john))))&
(![X]:(~curious(X)<=>(happy(X)|old(X))))&
(((~old(john)|~wise(john)))=>((happy(susan)&humble(su... | ~wise(paul) | [
"p6",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5615338767053627512104711
% SZS output start Proof for 5615338767053627512104711
7. ! [X0] : ((patient(X0) <~> humble(X0)) <=> (~funny(X0) | wise(X0))) [input p6]
8. ! [X0] : ((patient(X0) | creative(X0)) => (~kind(X0) & kind(X0))) [input p7]
24. ~creative(paul) & ~humble(paul) [input p23... | 0 |
If someone is either not rich or happy then fred is either not happy or curious and vice versa.
Everyone who is both creative and happy is both generous and calm.
Everyone who is either not creative or not rich is either not funny or not rich and vice versa.
If someone is either happy or humble then paul is not happy o... | Lucy is strong. | contradiction | ((?[X]:((~rich(X)<~>happy(X))))<=>((~happy(fred)<~>curious(fred))))&
(![X]:((creative(X)&happy(X))=>(generous(X)&calm(X))))&
(![X]:((~creative(X)<~>~rich(X))<=>(~funny(X)<~>~rich(X))))&
((?[X]:((happy(X)<~>humble(X))))=>((~happy(paul)|~rich(paul))))&
(![X]:((creative(X)<~>~creative(X))<=>(~strong(X)&~wise(X))))&
(![X]:... | strong(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 401697831089022552071822
% SZS output start Proof for 401697831089022552071822
5. ! [X0] : ((creative(X0) <~> ~creative(X0)) <=> (~wise(X0) & ~strong(X0))) [input p4]
24. strong(lucy) [input hypothesis]
46. ! [X0] : ((((creative(X0) | ~creative(X0)) & (~creative(X0) | creative(X0))) | (wi... | 0 |
If someone is both not creative and not strong then lucy is either quiet or not quiet.
Everyone who is both not curious and not wise is not tall and vice versa.
If someone is either humble or kind then someone is both funny and not curious and vice versa.
Everyone who is either funny or rich is curious or not happy.
Ev... | Fred is tall. | neutral | ((?[X]:((~creative(X)&~strong(X))))=>((quiet(lucy)<~>~quiet(lucy))))&
(![X]:((~curious(X)&~wise(X))<=>~tall(X)))&
((?[X]:((humble(X)<~>kind(X))))<=>(?[X]:((funny(X)&~curious(X)))))&
(![X]:((funny(X)<~>rich(X))=>(curious(X)|~happy(X))))&
(![X]:((strong(X)&~tall(X))<=>(~happy(X)|quiet(X))))&
(![X]:(~brave(X)<=>(funny(X)&... | tall(fred) | [] | null | 0 |
Everyone who is both not creative and curious is not strong.
Everyone who is both not calm and happy is strong and vice versa.
Everyone who is either creative or not quiet is both old and not patient and vice versa.
Everyone who is either not patient or not creative is not rich or not kind and vice versa.
If lucy is no... | Mary is not calm. | neutral | (![X]:((~creative(X)&curious(X))=>~strong(X)))&
(![X]:((~calm(X)&happy(X))<=>strong(X)))&
(![X]:((creative(X)<~>~quiet(X))<=>(old(X)&~patient(X))))&
(![X]:((~patient(X)<~>~creative(X))<=>(~rich(X)|~kind(X))))&
((~calm(lucy))<=>(?[X]:((~patient(X)&old(X)))))&
((?[X]:((funny(X)&curious(X))))<=>((calm(susan)|~tall(susan))... | ~calm(mary) | [] | null | 0 |
If someone is not funny then susan is not funny or not quiet.
If someone is not rich then susan is brave or calm.
Everyone who is both not generous and tall is either not tall or not patient.
Everyone who is either not kind or old is not brave.
Everyone who is both not patient and brave is either tall or not wise.
Ever... | Susan is not brave. | entailment | ((?[X]:(~funny(X)))=>((~funny(susan)|~quiet(susan))))&
((?[X]:(~rich(X)))=>((brave(susan)|calm(susan))))&
(![X]:((~generous(X)&tall(X))=>(~tall(X)<~>~patient(X))))&
(![X]:((~kind(X)<~>old(X))=>~brave(X)))&
(![X]:((~patient(X)&brave(X))=>(tall(X)<~>~wise(X))))&
(![X]:((~creative(X)&curious(X))<=>(~humble(X)|~funny(X))))... | ~brave(susan) | [
"p4",
"p6",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5862135484704486790444566
% SZS output start Proof for 5862135484704486790444566
5. ! [X0] : ((brave(X0) & ~patient(X0)) => (tall(X0) <~> ~wise(X0))) [input p4]
7. ! [X0] : ((~patient(X0) <~> creative(X0)) => (~patient(X0) <~> ~brave(X0))) [input p6]
11. ! [X0] : ((~tall(X0) & wise(X0)) <... | 0 |
If someone is either quiet or not humble then alice is either rich or strong and vice versa. Everyone who is kind or not brave is generous. If lucy is both not creative and tall then someone is both calm and not old and vice versa. Everyone who is either tall or not funny is humble and vice versa. If someone is both no... | Mary is not patient. | neutral | ((?[X]:((quiet(X)<~>~humble(X))))<=>((rich(alice)<~>strong(alice))))&
(![X]:((kind(X)|~brave(X))=>generous(X)))&
(((~creative(lucy)&tall(lucy)))<=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((tall(X)<~>~funny(X))<=>humble(X)))&
((?[X]:((~rich(X)&humble(X))))<=>((~brave(mary)|~humble(mary))))&
(![X]:((generous(X)|tall(X))<=>(~g... | ~patient(mary) | [] | null | 0 |
If someone is both creative and happy then susan is not generous.
Everyone who is not brave or humble is humble.
If paul is funny then fred is both brave and not patient and vice versa.
Everyone who is either not old or not humble is both not curious and rich and vice versa.
Everyone who is both not tall and generous i... | Paul is old. | neutral | ((?[X]:((creative(X)&happy(X))))=>(~generous(susan)))&
(![X]:((~brave(X)|humble(X))=>humble(X)))&
((funny(paul))<=>((brave(fred)&~patient(fred))))&
(![X]:((~old(X)<~>~humble(X))<=>(~curious(X)&rich(X))))&
(![X]:((~tall(X)&generous(X))=>(~patient(X)|~humble(X))))&
(((~old(paul)|~curious(paul)))<=>(~happy(mary)))&
(![X]:... | old(paul) | [] | null | 0 |
Everyone who is curious is either curious or not kind.
If mary is either not quiet or strong then someone is both patient and not rich.
Everyone who is either not rich or generous is either not patient or strong and vice versa.
If mary is both happy and generous then susan is both old and curious and vice versa.
Everyo... | Alice is not calm. | entailment | (![X]:(curious(X)=>(curious(X)<~>~kind(X))))&
(((~quiet(mary)<~>strong(mary)))=>(?[X]:((patient(X)&~rich(X)))))&
(![X]:((~rich(X)<~>generous(X))<=>(~patient(X)<~>strong(X))))&
(((happy(mary)&generous(mary)))<=>((old(susan)&curious(susan))))&
(![X]:((~happy(X)<~>calm(X))<=>(generous(X)<~>~creative(X))))&
(![X]:((~funny(... | ~calm(alice) | [
"p4",
"p10",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3827686464900959789734814
% SZS output start Proof for 3827686464900959789734814
5. ! [X0] : ((~happy(X0) <~> calm(X0)) <=> (generous(X0) <~> ~creative(X0))) [input p4]
11. ! [X0] : ((~creative(X0) | quiet(X0)) => happy(X0)) [input p10]
12. ! [X0] : ((calm(X0) & generous(X0)) <=> (calm(X0... | 0 |
If someone is not patient or humble then paul is both not tall and wise and vice versa.
Everyone who is generous or not happy is not generous or not rich and vice versa.
Everyone who is either funny or creative is kind or funny and vice versa.
Everyone who is not quiet is calm and vice versa.
If lucy is either not curi... | Paul is not old. | contradiction | ((?[X]:((~patient(X)|humble(X))))<=>((~tall(paul)&wise(paul))))&
(![X]:((generous(X)|~happy(X))<=>(~generous(X)|~rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>(kind(X)|funny(X))))&
(![X]:(~quiet(X)<=>calm(X)))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]:((wise(X)&~funny(X)))))&
(![X]:((~old(X)<~>tall(X))=>(generous(X... | ~old(paul) | [
"p0",
"p1",
"p3",
"p5",
"p10",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1932316179829525476737546
% SZS output start Proof for 1932316179829525476737546
1. ? [X0] : (humble(X0) | ~patient(X0)) <=> (wise(paul) & ~tall(paul)) [input p0]
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~rich(X0) | ~generous(X0))) [input p1]
4. ! [X0] : (~quiet(X0) <=> calm(X0)) [in... | 0 |
Everyone who is both not curious and not humble is either strong or curious and vice versa.
Everyone who is both not calm and generous is strong or tall.
If paul is not humble then susan is patient or not brave and vice versa.
If paul is either not rich or patient then fred is both happy and not rich.
If someone is tal... | Lucy is not curious. | contradiction | (![X]:((~curious(X)&~humble(X))<=>(strong(X)<~>curious(X))))&
(![X]:((~calm(X)&generous(X))=>(strong(X)|tall(X))))&
((~humble(paul))<=>((patient(susan)|~brave(susan))))&
(((~rich(paul)<~>patient(paul)))=>((happy(fred)&~rich(fred))))&
((?[X]:(tall(X)))<=>(?[X]:(~curious(X))))&
((?[X]:((wise(X)|~happy(X))))<=>((kind(paul... | ~curious(lucy) | [
"p0",
"p4",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6567822707638905332535134
% SZS output start Proof for 6567822707638905332535134
1. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (strong(X0) <~> curious(X0))) [input p0]
5. ? [X0] : tall(X0) <=> ? [X0] : ~curious(X0) [input p4]
7. ! [X0] : (~generous(X0) <=> tall(X0)) [input p6]
13. ! [X0] ... | 0 |
Everyone who is old is not happy or not rich and vice versa. Everyone who is calm is either rich or not curious and vice versa. Everyone who is either kind or not curious is either not rich or not curious. If mary is either happy or humble then someone is not tall. If someone is generous then alice is both not generous... | Susan is wise. | entailment | (![X]:(old(X)<=>(~happy(X)|~rich(X))))&
(![X]:(calm(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((kind(X)<~>~curious(X))=>(~rich(X)<~>~curious(X))))&
(((happy(mary)<~>humble(mary)))=>(?[X]:(~tall(X))))&
((?[X]:(generous(X)))=>((~generous(alice)&~wise(alice))))&
(((patient(john)|wise(john)))<=>(?[X]:((~quiet(X)|~generous(X)))... | wise(susan) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5391442077935156223397517
% SZS output start Proof for 5391442077935156223397517
5. ? [X0] : generous(X0) => (~wise(alice) & ~generous(alice)) [input p4]
9. ! [X0] : ((~wise(X0) | ~rich(X0)) <=> (wise(X0) <~> generous(X0))) [input p8]
23. ~wise(susan) [input hypothesis]
26. (~wise(alice) ... | 0 |
Everyone who is not funny or funny is both creative and not quiet. If someone is both calm and humble then someone is not happy and vice versa. If someone is either not calm or not patient then paul is wise. Everyone who is either not old or creative is both curious and generous. Everyone who is wise or not calm is bot... | Lucy is old. | contradiction | (![X]:((~funny(X)|funny(X))=>(creative(X)&~quiet(X))))&
((?[X]:((calm(X)&humble(X))))<=>(?[X]:(~happy(X))))&
((?[X]:((~calm(X)<~>~patient(X))))=>(wise(paul)))&
(![X]:((~old(X)<~>creative(X))=>(curious(X)&generous(X))))&
(![X]:((wise(X)|~calm(X))<=>(~creative(X)&calm(X))))&
((?[X]:(~generous(X)))=>((humble(susan)|happy(... | old(lucy) | [
"p0",
"p4",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8326219265438680459817088
% SZS output start Proof for 8326219265438680459817088
1. ! [X0] : ((funny(X0) | ~funny(X0)) => (~quiet(X0) & creative(X0))) [input p0]
5. ! [X0] : ((~calm(X0) | wise(X0)) <=> (calm(X0) & ~creative(X0))) [input p4]
9. ! [X0] : ((creative(X0) <~> ~old(X0)) <=> ~ki... | 0 |
If someone is not creative then someone is both not rich and quiet.
If mary is not strong or rich then alice is either humble or wise and vice versa.
Everyone who is tall or not tall is both calm and not patient.
If john is both rich and brave then someone is either not happy or happy and vice versa.
If someone is eith... | John is not patient. | entailment | ((?[X]:(~creative(X)))=>(?[X]:((~rich(X)&quiet(X)))))&
(((~strong(mary)|rich(mary)))<=>((humble(alice)<~>wise(alice))))&
(![X]:((tall(X)|~tall(X))=>(calm(X)&~patient(X))))&
(((rich(john)&brave(john)))<=>(?[X]:((~happy(X)<~>happy(X)))))&
((?[X]:((~generous(X)<~>humble(X))))<=>(~rich(lucy)))&
(![X]:(~wise(X)<=>(~strong(X... | ~patient(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 667345026250500044352300
% SZS output start Proof for 667345026250500044352300
3. ! [X0] : ((~tall(X0) | tall(X0)) => (~patient(X0) & calm(X0))) [input p2]
25. patient(john) [input hypothesis]
29. ! [X0] : ((~patient(X0) & calm(X0)) | (tall(X0) & ~tall(X0))) [ennf transformation 3]
84. ~p... | 0 |
If someone is not strong then susan is not curious or old and vice versa.
If fred is both not wise and kind then fred is either quiet or funny.
If susan is both creative and not creative then someone is not old.
If mary is both not brave and not strong then paul is either not old or generous.
If someone is not generous... | Paul is not brave. | contradiction | ((?[X]:(~strong(X)))<=>((~curious(susan)|old(susan))))&
(((~wise(fred)&kind(fred)))=>((quiet(fred)<~>funny(fred))))&
(((creative(susan)&~creative(susan)))=>(?[X]:(~old(X))))&
(((~brave(mary)&~strong(mary)))=>((~old(paul)<~>generous(paul))))&
((?[X]:((~generous(X)|kind(X))))<=>((~brave(paul)<~>~generous(paul))))&
(![X]:... | ~brave(paul) | [
"p4",
"p6",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4783897432639255027651243
% SZS output start Proof for 4783897432639255027651243
5. ? [X0] : (kind(X0) | ~generous(X0)) <=> (~brave(paul) <~> ~generous(paul)) [input p4]
7. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> ~wise(X0)) [input p6]
9. ! [X0] : ((strong(X0) | quiet(X0)) => (~strong(X0)... | 0 |
Everyone who is tall is both not tall and not creative and vice versa. If someone is not kind or not happy then john is both calm and happy and vice versa. If someone is not strong or curious then someone is either not tall or curious and vice versa. If alice is both not kind and not rich then someone is either not wis... | Paul is wise. | neutral | (![X]:(tall(X)<=>(~tall(X)&~creative(X))))&
((?[X]:((~kind(X)|~happy(X))))<=>((calm(john)&happy(john))))&
((?[X]:((~strong(X)|curious(X))))<=>(?[X]:((~tall(X)<~>curious(X)))))&
(((~kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)<~>tall(X)))))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((~brav... | wise(paul) | [] | null | 0 |
Everyone who is not humble or strong is old and vice versa.
Everyone who is calm or rich is quiet or happy and vice versa.
Everyone who is either patient or not humble is either patient or not tall.
Everyone who is funny is both not funny and wise.
Everyone who is quiet or old is not patient.
Everyone who is both not c... | John is humble. | contradiction | (![X]:((~humble(X)|strong(X))<=>old(X)))&
(![X]:((calm(X)|rich(X))<=>(quiet(X)|happy(X))))&
(![X]:((patient(X)<~>~humble(X))=>(patient(X)<~>~tall(X))))&
(![X]:(funny(X)=>(~funny(X)&wise(X))))&
(![X]:((quiet(X)|old(X))=>~patient(X)))&
(![X]:((~curious(X)&creative(X))<=>(happy(X)|~wise(X))))&
(![X]:((~quiet(X)&~old(X))=>... | humble(john) | [
"p0",
"p4",
"p5",
"p9",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 322076399441748749896221
% SZS output start Proof for 322076399441748749896221
1. ! [X0] : ((strong(X0) | ~humble(X0)) <=> old(X0)) [input p0]
5. ! [X0] : ((old(X0) | quiet(X0)) => ~patient(X0)) [input p4]
6. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (~wise(X0) | happy(X0))) [input p5]
... | 0 |
If someone is either not old or not happy then fred is calm and vice versa.
Everyone who is wise is not brave.
If susan is not kind then someone is brave.
Everyone who is brave is either kind or not curious and vice versa.
If paul is not creative then someone is both not patient and calm and vice versa.
Everyone who is... | Fred is old. | entailment | ((?[X]:((~old(X)<~>~happy(X))))<=>(calm(fred)))&
(![X]:(wise(X)=>~brave(X)))&
((~kind(susan))=>(?[X]:(brave(X))))&
(![X]:(brave(X)<=>(kind(X)<~>~curious(X))))&
((~creative(paul))<=>(?[X]:((~patient(X)&calm(X)))))&
(![X]:((quiet(X)&funny(X))<=>(curious(X)|calm(X))))&
(![X]:((~funny(X)|calm(X))<=>~quiet(X)))&
(![X]:(old(... | old(fred) | [
"p0",
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5605400372166620552814367
% SZS output start Proof for 5605400372166620552814367
1. ? [X0] : (~old(X0) <~> ~happy(X0)) <=> calm(fred) [input p0]
6. ! [X0] : ((funny(X0) & quiet(X0)) <=> (calm(X0) | curious(X0))) [input p5]
7. ! [X0] : ((calm(X0) | ~funny(X0)) <=> ~quiet(X0)) [input p6]
9.... | 0 |
If susan is both not old and wise then someone is either not generous or not humble.
Everyone who is tall or creative is either not tall or kind.
Everyone who is both curious and not old is either curious or not wise and vice versa.
If someone is wise then mary is not quiet and vice versa.
Everyone who is not creative ... | Paul is tall. | contradiction | (((~old(susan)&wise(susan)))=>(?[X]:((~generous(X)<~>~humble(X)))))&
(![X]:((tall(X)|creative(X))=>(~tall(X)<~>kind(X))))&
(![X]:((curious(X)&~old(X))<=>(curious(X)<~>~wise(X))))&
((?[X]:(wise(X)))<=>(~quiet(mary)))&
(![X]:(~creative(X)=>(calm(X)|~old(X))))&
((?[X]:((~old(X)&~strong(X))))=>(?[X]:((rich(X)|~happy(X)))))... | tall(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6227914986726667369240492
% SZS output start Proof for 6227914986726667369240492
11. ! [X0] : ((~tall(X0) & patient(X0)) <=> (~funny(X0) | tall(X0))) [input p10]
25. tall(paul) [input hypothesis]
67. ! [X0] : (((~tall(X0) & patient(X0)) | (funny(X0) & ~tall(X0))) & ((~funny(X0) | tall(X0)... | 0 |
If paul is not tall then fred is both creative and not strong and vice versa. If mary is funny then someone is either not creative or not curious and vice versa. Everyone who is either kind or old is not humble. If someone is both not quiet and not funny then someone is both brave and calm and vice versa. If someone is... | Lucy is rich. | entailment | ((~tall(paul))<=>((creative(fred)&~strong(fred))))&
((funny(mary))<=>(?[X]:((~creative(X)<~>~curious(X)))))&
(![X]:((kind(X)<~>old(X))=>~humble(X)))&
((?[X]:((~quiet(X)&~funny(X))))<=>(?[X]:((brave(X)&calm(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:((~creative(X)|strong(X)))))&
((?[X]:(strong(X)))<=>((~quiet(alice)<~>~old(al... | rich(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2338109805459328151297079
% SZS output start Proof for 2338109805459328151297079
8. ! [X0] : ((~wise(X0) | wise(X0)) => rich(X0)) [input p7]
25. ~rich(lucy) [input hypothesis]
30. ! [X0] : (rich(X0) | (wise(X0) & ~wise(X0))) [ennf transformation 8]
111. rich(X0) | ~wise(X0) [cnf transform... | 0 |
Everyone who is either rich or curious is calm.
Everyone who is not happy or tall is either not strong or rich and vice versa.
If paul is both wise and not creative then alice is either not tall or not brave and vice versa.
Everyone who is not old is generous or not tall and vice versa.
Everyone who is both not wise an... | Lucy is not curious. | neutral | (![X]:((rich(X)<~>curious(X))=>calm(X)))&
(![X]:((~happy(X)|tall(X))<=>(~strong(X)<~>rich(X))))&
(((wise(paul)&~creative(paul)))<=>((~tall(alice)<~>~brave(alice))))&
(![X]:(~old(X)<=>(generous(X)|~tall(X))))&
(![X]:((~wise(X)&~happy(X))<=>brave(X)))&
(![X]:((~humble(X)|~happy(X))<=>(~generous(X)|rich(X))))&
(((~rich(fr... | ~curious(lucy) | [] | null | 0 |
If susan is not tall then someone is either happy or not brave.
If susan is either old or not funny then someone is old or generous.
Everyone who is either quiet or not calm is happy.
Everyone who is strong or not wise is either quiet or not strong and vice versa.
If paul is either not tall or not strong then mary is b... | Fred is strong. | contradiction | ((~tall(susan))=>(?[X]:((happy(X)<~>~brave(X)))))&
(((old(susan)<~>~funny(susan)))=>(?[X]:((old(X)|generous(X)))))&
(![X]:((quiet(X)<~>~calm(X))=>happy(X)))&
(![X]:((strong(X)|~wise(X))<=>(quiet(X)<~>~strong(X))))&
(((~tall(paul)<~>~strong(paul)))=>((~wise(mary)&~funny(mary))))&
(![X]:((~humble(X)|~creative(X))<=>quiet... | strong(fred) | [
"p2",
"p3",
"p6",
"p7",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7177709730260071324443030
% SZS output start Proof for 7177709730260071324443030
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) => happy(X0)) [input p2]
4. ! [X0] : ((~wise(X0) | strong(X0)) <=> (quiet(X0) <~> ~strong(X0))) [input p3]
7. ! [X0] : ((~happy(X0) & curious(X0)) => (~quiet(X0) <~> bra... | 0 |
Everyone who is both not rich and happy is either not generous or not calm. If someone is not happy then alice is both wise and not old. Everyone who is happy is generous. If someone is not wise or not kind then john is calm and vice versa. Everyone who is not tall is both not creative and wise and vice versa. If paul ... | Lucy is rich. | entailment | (![X]:((~rich(X)&happy(X))=>(~generous(X)<~>~calm(X))))&
((?[X]:(~happy(X)))=>((wise(alice)&~old(alice))))&
(![X]:(happy(X)=>generous(X)))&
((?[X]:((~wise(X)|~kind(X))))<=>(calm(john)))&
(![X]:(~tall(X)<=>(~creative(X)&wise(X))))&
(((old(paul)|~generous(paul)))<=>(?[X]:(old(X))))&
(![X]:((~rich(X)&~curious(X))<=>~brave... | rich(lucy) | [
"p1",
"p4",
"p7",
"p12",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1127519220295370212682428
% SZS output start Proof for 1127519220295370212682428
2. ? [X0] : ~happy(X0) => (~old(alice) & wise(alice)) [input p1]
5. ! [X0] : (~tall(X0) <=> (wise(X0) & ~creative(X0))) [input p4]
8. ! [X0] : ((old(X0) <~> ~creative(X0)) <=> (creative(X0) | generous(X0))) [... | 0 |
Everyone who is both not patient and creative is either not patient or calm.
Everyone who is not tall or humble is either not patient or not generous and vice versa.
Everyone who is both not quiet and not strong is either wise or not patient and vice versa.
Everyone who is not curious or not wise is both humble and old... | Alice is not humble. | contradiction | (![X]:((~patient(X)&creative(X))=>(~patient(X)<~>calm(X))))&
(![X]:((~tall(X)|humble(X))<=>(~patient(X)<~>~generous(X))))&
(![X]:((~quiet(X)&~strong(X))<=>(wise(X)<~>~patient(X))))&
(![X]:((~curious(X)|~wise(X))<=>(humble(X)&old(X))))&
(![X]:((brave(X)|~humble(X))=>(quiet(X)<~>happy(X))))&
(![X]:((~brave(X)<~>tall(X))=... | ~humble(alice) | [
"p2",
"p3",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 801317506030789470734535
% SZS output start Proof for 801317506030789470734535
3. ! [X0] : ((~strong(X0) & ~quiet(X0)) <=> (wise(X0) <~> ~patient(X0))) [input p2]
4. ! [X0] : ((~wise(X0) | ~curious(X0)) <=> (old(X0) & humble(X0))) [input p3]
8. ! [X0] : ((happy(X0) & patient(X0)) <=> (wis... | 0 |
If someone is quiet then fred is either creative or generous. Everyone who is not kind or not old is wise and vice versa. Everyone who is kind is funny or not rich. If paul is not funny or calm then paul is not generous or humble and vice versa. Everyone who is both happy and not curious is not happy or curious. Everyo... | Fred is not wise. | neutral | ((?[X]:(quiet(X)))=>((creative(fred)<~>generous(fred))))&
(![X]:((~kind(X)|~old(X))<=>wise(X)))&
(![X]:(kind(X)=>(funny(X)|~rich(X))))&
(((~funny(paul)|calm(paul)))<=>((~generous(paul)|humble(paul))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((pat... | ~wise(fred) | [] | null | 0 |
If susan is not quiet or funny then someone is either not generous or not calm and vice versa.
Everyone who is wise or generous is both not rich and not tall.
If someone is both quiet and not generous then mary is either not quiet or brave and vice versa.
Everyone who is both calm and patient is either wise or not tall... | Susan is funny. | neutral | (((~quiet(susan)|funny(susan)))<=>(?[X]:((~generous(X)<~>~calm(X)))))&
(![X]:((wise(X)|generous(X))=>(~rich(X)&~tall(X))))&
((?[X]:((quiet(X)&~generous(X))))<=>((~quiet(mary)<~>brave(mary))))&
(![X]:((calm(X)&patient(X))<=>(wise(X)<~>~tall(X))))&
(![X]:(~brave(X)<=>~calm(X)))&
(((~strong(fred)<~>~generous(fred)))=>(?[X... | funny(susan) | [] | null | 0 |
Everyone who is both brave and not patient is either quiet or not curious.
Everyone who is both not rich and funny is not happy or brave and vice versa.
Everyone who is either brave or not happy is humble or generous and vice versa.
Everyone who is both old and funny is happy.
If paul is strong then someone is both not... | Mary is not quiet. | neutral | (![X]:((brave(X)&~patient(X))=>(quiet(X)<~>~curious(X))))&
(![X]:((~rich(X)&funny(X))<=>(~happy(X)|brave(X))))&
(![X]:((brave(X)<~>~happy(X))<=>(humble(X)|generous(X))))&
(![X]:((old(X)&funny(X))=>happy(X)))&
((strong(paul))<=>(?[X]:((~calm(X)&~quiet(X)))))&
(((kind(fred)<~>calm(fred)))<=>((~brave(mary)&~happy(mary))))... | ~quiet(mary) | [] | null | 0 |
If someone is not tall then lucy is both happy and not kind.
Everyone who is patient is not kind or wise and vice versa.
Everyone who is not brave is curious or kind.
Everyone who is both humble and not humble is both not quiet and not creative.
Everyone who is either not calm or brave is quiet and vice versa.
Everyone... | Lucy is not funny. | entailment | ((?[X]:(~tall(X)))=>((happy(lucy)&~kind(lucy))))&
(![X]:(patient(X)<=>(~kind(X)|wise(X))))&
(![X]:(~brave(X)=>(curious(X)|kind(X))))&
(![X]:((humble(X)&~humble(X))=>(~quiet(X)&~creative(X))))&
(![X]:((~calm(X)<~>brave(X))<=>quiet(X)))&
(![X]:((funny(X)|~brave(X))=>(~happy(X)&~calm(X))))&
(![X]:((~old(X)|~tall(X))=>~cre... | ~funny(lucy) | [
"p0",
"p4",
"p5",
"p7",
"p10",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4312202552145636809662659
% SZS output start Proof for 4312202552145636809662659
1. ? [X0] : ~tall(X0) => (~kind(lucy) & happy(lucy)) [input p0]
5. ! [X0] : ((~calm(X0) <~> brave(X0)) <=> quiet(X0)) [input p4]
6. ! [X0] : ((~brave(X0) | funny(X0)) => (~calm(X0) & ~happy(X0))) [input p5]
8... | 0 |
If someone is both not tall and not old then john is both quiet and wise.
If mary is not rich or not quiet then susan is either not humble or happy.
If someone is both curious and not strong then someone is kind.
Everyone who is not generous or patient is both wise and not wise and vice versa.
If someone is quiet or ri... | Susan is not kind. | contradiction | ((?[X]:((~tall(X)&~old(X))))=>((quiet(john)&wise(john))))&
(((~rich(mary)|~quiet(mary)))=>((~humble(susan)<~>happy(susan))))&
((?[X]:((curious(X)&~strong(X))))=>(?[X]:(kind(X))))&
(![X]:((~generous(X)|patient(X))<=>(wise(X)&~wise(X))))&
((?[X]:((quiet(X)|rich(X))))<=>(?[X]:((curious(X)<~>~rich(X)))))&
((?[X]:((~patient... | ~kind(susan) | [
"p3",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 341909351291560787429039
% SZS output start Proof for 341909351291560787429039
4. ! [X0] : ((patient(X0) | ~generous(X0)) <=> (~wise(X0) & wise(X0))) [input p3]
10. ? [X0] : (~old(X0) & old(X0)) <=> ? [X0] : (~humble(X0) <~> kind(X0)) [input p9]
15. ! [X0] : (~patient(X0) => (creative(X0)... | 0 |
If fred is not old then paul is either calm or not tall. Everyone who is not creative or not old is either funny or not old and vice versa. Everyone who is both not curious and not funny is both creative and not quiet. If john is either not tall or rich then alice is not rich and vice versa. Everyone who is old is not ... | Paul is calm. | neutral | ((~old(fred))=>((calm(paul)<~>~tall(paul))))&
(![X]:((~creative(X)|~old(X))<=>(funny(X)<~>~old(X))))&
(![X]:((~curious(X)&~funny(X))=>(creative(X)&~quiet(X))))&
(((~tall(john)<~>rich(john)))<=>(~rich(alice)))&
(![X]:(old(X)=>~tall(X)))&
(![X]:((wise(X)|quiet(X))=>~rich(X)))&
(![X]:((kind(X)<~>generous(X))=>(tall(X)&cur... | calm(paul) | [] | null | 0 |
Everyone who is both not brave and not humble is quiet or not tall and vice versa. Everyone who is either not brave or patient is both old and kind and vice versa. Everyone who is not curious is not quiet. Everyone who is not brave or not humble is either patient or not humble and vice versa. Everyone who is happy or n... | Paul is patient. | neutral | (![X]:((~brave(X)&~humble(X))<=>(quiet(X)|~tall(X))))&
(![X]:((~brave(X)<~>patient(X))<=>(old(X)&kind(X))))&
(![X]:(~curious(X)=>~quiet(X)))&
(![X]:((~brave(X)|~humble(X))<=>(patient(X)<~>~humble(X))))&
(![X]:((happy(X)|~calm(X))<=>(~wise(X)<~>~old(X))))&
(![X]:((~wise(X)|humble(X))=>happy(X)))&
(![X]:((strong(X)|~gene... | patient(paul) | [] | null | 0 |
If lucy is either not happy or not strong then fred is either not funny or tall and vice versa.
Everyone who is tall or not quiet is both not calm and not funny and vice versa.
If john is curious or not wise then mary is either calm or happy.
Everyone who is either curious or creative is not funny or curious and vice v... | Susan is calm. | contradiction | (((~happy(lucy)<~>~strong(lucy)))<=>((~funny(fred)<~>tall(fred))))&
(![X]:((tall(X)|~quiet(X))<=>(~calm(X)&~funny(X))))&
(((curious(john)|~wise(john)))=>((calm(mary)<~>happy(mary))))&
(![X]:((curious(X)<~>creative(X))<=>(~funny(X)|curious(X))))&
(((~creative(alice)|~humble(alice)))<=>(?[X]:((happy(X)&~old(X)))))&
((?[X... | calm(susan) | [
"p1",
"p3",
"p7",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1145472029635118316543855
% SZS output start Proof for 1145472029635118316543855
2. ! [X0] : ((~quiet(X0) | tall(X0)) <=> (~funny(X0) & ~calm(X0))) [input p1]
4. ! [X0] : ((curious(X0) <~> creative(X0)) <=> (curious(X0) | ~funny(X0))) [input p3]
8. ! [X0] : ((~generous(X0) & ~curious(X0))... | 0 |
If someone is not calm then someone is both brave and creative and vice versa.
Everyone who is curious or not wise is kind.
Everyone who is either not tall or strong is either not rich or not brave and vice versa.
If someone is not tall or not generous then susan is tall and vice versa.
If alice is not brave then someo... | John is calm. | neutral | ((?[X]:(~calm(X)))<=>(?[X]:((brave(X)&creative(X)))))&
(![X]:((curious(X)|~wise(X))=>kind(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(~rich(X)<~>~brave(X))))&
((?[X]:((~tall(X)|~generous(X))))<=>(tall(susan)))&
((~brave(alice))=>(?[X]:((~funny(X)<~>~calm(X)))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(~generous(X)|calm(X))))&
(!... | calm(john) | [] | null | 0 |
If john is tall then paul is either not happy or not strong and vice versa.
If someone is curious or not humble then someone is not strong or wise and vice versa.
Everyone who is either old or not funny is strong.
If alice is both not wise and happy then alice is curious.
If lucy is either not rich or wise then someone... | Mary is wise. | neutral | ((tall(john))<=>((~happy(paul)<~>~strong(paul))))&
((?[X]:((curious(X)|~humble(X))))<=>(?[X]:((~strong(X)|wise(X)))))&
(![X]:((old(X)<~>~funny(X))=>strong(X)))&
(((~wise(alice)&happy(alice)))=>(curious(alice)))&
(((~rich(lucy)<~>wise(lucy)))=>(?[X]:(~wise(X))))&
(![X]:((~brave(X)&~happy(X))<=>(~brave(X)<~>patient(X))))... | wise(mary) | [] | null | 0 |
If someone is not rich or not curious then someone is both curious and kind. Everyone who is quiet or not happy is rich and vice versa. If john is both not funny and not creative then someone is not curious or generous. If someone is quiet or not rich then someone is both not curious and not patient and vice versa. Eve... | Paul is old. | entailment | ((?[X]:((~rich(X)|~curious(X))))=>(?[X]:((curious(X)&kind(X)))))&
(![X]:((quiet(X)|~happy(X))<=>rich(X)))&
(((~funny(john)&~creative(john)))=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((quiet(X)|~rich(X))))<=>(?[X]:((~curious(X)&~patient(X)))))&
(![X]:((~patient(X)<~>~old(X))<=>(wise(X)|~happy(X))))&
(![X]:((calm(X)|... | old(paul) | [
"p5",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6028806040673875254925235
% SZS output start Proof for 6028806040673875254925235
6. ! [X0] : ((quiet(X0) | calm(X0)) => (happy(X0) & ~kind(X0))) [input p5]
7. ? [X0] : (humble(X0) & funny(X0)) <=> ~funny(paul) [input p6]
8. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> kind(X0)) [input p7]
11. ... | 0 |
Everyone who is both old and not rich is either rich or not old and vice versa.
If someone is patient then alice is either not creative or not funny.
If someone is both not rich and not creative then paul is both happy and not brave.
If someone is not calm then john is not rich and vice versa.
If susan is both kind and... | Fred is calm. | entailment | (![X]:((old(X)&~rich(X))<=>(rich(X)<~>~old(X))))&
((?[X]:(patient(X)))=>((~creative(alice)<~>~funny(alice))))&
((?[X]:((~rich(X)&~creative(X))))=>((happy(paul)&~brave(paul))))&
((?[X]:(~calm(X)))<=>(~rich(john)))&
(((kind(susan)&~patient(susan)))<=>(?[X]:(~patient(X))))&
(((~brave(lucy)&brave(lucy)))<=>(?[X]:((old(X)&t... | calm(fred) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 340384373304586456422419
% SZS output start Proof for 340384373304586456422419
1. ! [X0] : ((~rich(X0) & old(X0)) <=> (rich(X0) <~> ~old(X0))) [input p0]
4. ? [X0] : ~calm(X0) <=> ~rich(john) [input p3]
25. ~calm(fred) [input hypothesis]
33. ! [X0] : (((~rich(X0) & old(X0)) | ((rich(X0) |... | 0 |
Everyone who is both not humble and happy is not brave.
If john is patient or not generous then someone is not curious or not humble and vice versa.
Everyone who is both curious and funny is funny.
Everyone who is humble is both brave and strong.
Everyone who is curious or not humble is tall and vice versa.
If someone ... | Paul is not happy. | contradiction | (![X]:((~humble(X)&happy(X))=>~brave(X)))&
(((patient(john)|~generous(john)))<=>(?[X]:((~curious(X)|~humble(X)))))&
(![X]:((curious(X)&funny(X))=>funny(X)))&
(![X]:(humble(X)=>(brave(X)&strong(X))))&
(![X]:((curious(X)|~humble(X))<=>tall(X)))&
((?[X]:(~curious(X)))<=>(?[X]:((wise(X)&~generous(X)))))&
((?[X]:(curious(X)... | ~happy(paul) | [
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6929469910763232307593123
% SZS output start Proof for 6929469910763232307593123
5. ! [X0] : ((~humble(X0) | curious(X0)) <=> tall(X0)) [input p4]
15. ! [X0] : ((~humble(X0) & ~tall(X0)) <=> (~brave(X0) | ~happy(X0))) [input p14]
23. ~happy(paul) [input hypothesis]
42. ! [X0] : (((~humble... | 0 |
Everyone who is both not wise and not kind is creative and vice versa.
If susan is not creative then someone is brave.
Everyone who is both quiet and not quiet is quiet and vice versa.
Everyone who is not patient is either not tall or not funny.
If someone is both strong and not strong then lucy is both rich and patien... | Lucy is tall. | contradiction | (![X]:((~wise(X)&~kind(X))<=>creative(X)))&
((~creative(susan))=>(?[X]:(brave(X))))&
(![X]:((quiet(X)&~quiet(X))<=>quiet(X)))&
(![X]:(~patient(X)=>(~tall(X)<~>~funny(X))))&
((?[X]:((strong(X)&~strong(X))))=>((rich(lucy)&patient(lucy))))&
((?[X]:((patient(X)|~funny(X))))=>(?[X]:((~kind(X)&quiet(X)))))&
((~brave(paul))<=... | tall(lucy) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 9031364414209107606310658
% SZS output start Proof for 9031364414209107606310658
3. ! [X0] : ((~quiet(X0) & quiet(X0)) <=> quiet(X0)) [input p2]
4. ! [X0] : (~patient(X0) => (~tall(X0) <~> ~funny(X0))) [input p3]
6. ? [X0] : (~funny(X0) | patient(X0)) => ? [X0] : (quiet(X0) & ~kind(X0)) [... | 0 |
If someone is both not calm and generous then susan is strong or humble.
If fred is not funny then mary is old or not funny and vice versa.
If alice is either not old or not kind then someone is either not happy or generous.
If someone is strong or not rich then someone is tall.
If lucy is both not kind and rich then s... | Alice is patient. | contradiction | ((?[X]:((~calm(X)&generous(X))))=>((strong(susan)|humble(susan))))&
((~funny(fred))<=>((old(mary)|~funny(mary))))&
(((~old(alice)<~>~kind(alice)))=>(?[X]:((~happy(X)<~>generous(X)))))&
((?[X]:((strong(X)|~rich(X))))=>(?[X]:(tall(X))))&
(((~kind(lucy)&rich(lucy)))=>(?[X]:((kind(X)<~>funny(X)))))&
((~calm(mary))=>((~calm... | patient(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3035380048310894459932088
% SZS output start Proof for 3035380048310894459932088
22. ~tall(alice) & ~patient(alice) [input p21]
24. patient(alice) [input hypothesis]
130. ~patient(alice) [cnf transformation 22]
134. patient(alice) [cnf transformation 24]
299. $false [subsumption resolutio... | 0 |
Everyone who is not strong is generous and vice versa. If lucy is old or creative then someone is both not creative and quiet and vice versa. If alice is both old and brave then john is either tall or humble. If fred is not patient or not strong then lucy is not patient and vice versa. Everyone who is both not rich and... | Mary is humble. | entailment | (![X]:(~strong(X)<=>generous(X)))&
(((old(lucy)|creative(lucy)))<=>(?[X]:((~creative(X)&quiet(X)))))&
(((old(alice)&brave(alice)))=>((tall(john)<~>humble(john))))&
(((~patient(fred)|~strong(fred)))<=>(~patient(lucy)))&
(![X]:((~rich(X)&~calm(X))<=>(creative(X)&patient(X))))&
((?[X]:((kind(X)|old(X))))=>(?[X]:((quiet(X)... | humble(mary) | [
"p0",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3678154794297518468802991
% SZS output start Proof for 3678154794297518468802991
1. ! [X0] : (~strong(X0) <=> generous(X0)) [input p0]
8. ! [X0] : ((humble(X0) & wise(X0)) <=> generous(X0)) [input p7]
11. ! [X0] : (~curious(X0) <=> (~curious(X0) <~> ~generous(X0))) [input p10]
23. ~humble... | 0 |
Everyone who is calm or kind is both quiet and not patient.
If john is not happy then someone is tall or not tall.
Everyone who is not happy is humble or not strong and vice versa.
If susan is either creative or curious then lucy is not calm and vice versa.
If someone is creative then someone is strong or tall and vice... | Mary is calm. | neutral | (![X]:((calm(X)|kind(X))=>(quiet(X)&~patient(X))))&
((~happy(john))=>(?[X]:((tall(X)|~tall(X)))))&
(![X]:(~happy(X)<=>(humble(X)|~strong(X))))&
(((creative(susan)<~>curious(susan)))<=>(~calm(lucy)))&
((?[X]:(creative(X)))<=>(?[X]:((strong(X)|tall(X)))))&
(((~creative(mary)<~>generous(mary)))=>((~wise(john)&~generous(jo... | calm(mary) | [] | null | 0 |
Everyone who is either kind or not tall is both not humble and not curious and vice versa.
Everyone who is either generous or not tall is both not patient and brave.
If fred is not curious or funny then lucy is not generous or patient and vice versa.
If lucy is not rich then fred is strong or funny.
Everyone who is cal... | Lucy is humble. | neutral | (![X]:((kind(X)<~>~tall(X))<=>(~humble(X)&~curious(X))))&
(![X]:((generous(X)<~>~tall(X))=>(~patient(X)&brave(X))))&
(((~curious(fred)|funny(fred)))<=>((~generous(lucy)|patient(lucy))))&
((~rich(lucy))=>((strong(fred)|funny(fred))))&
(![X]:(calm(X)=>(kind(X)&~wise(X))))&
(![X]:(generous(X)<=>(~creative(X)<~>wise(X))))&... | humble(lucy) | [] | null | 0 |
If mary is either not patient or humble then someone is either not humble or rich and vice versa.
Everyone who is not kind or quiet is either not kind or tall.
Everyone who is not calm is quiet.
Everyone who is kind is not old.
Everyone who is not funny is not rich or not tall.
Everyone who is not rich or not happy is ... | Fred is calm. | entailment | (((~patient(mary)<~>humble(mary)))<=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~kind(X)|quiet(X))=>(~kind(X)<~>tall(X))))&
(![X]:(~calm(X)=>quiet(X)))&
(![X]:(kind(X)=>~old(X)))&
(![X]:(~funny(X)=>(~rich(X)|~tall(X))))&
(![X]:((~rich(X)|~happy(X))=>(~calm(X)|brave(X))))&
(![X]:(creative(X)=>(funny(X)|kind(X))))&
(![X]:... | calm(fred) | [
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6179614632080574953454897
% SZS output start Proof for 6179614632080574953454897
10. ! [X0] : ((rich(X0) | creative(X0)) => ~rich(X0)) [input p9]
15. ! [X0] : ((~calm(X0) | patient(X0)) => (old(X0) & ~wise(X0))) [input p14]
19. rich(fred) | wise(fred) [input p18]
22. ~calm(fred) [input hy... | 0 |
If someone is not calm or tall then someone is either rich or not old. If fred is both not creative and not patient then someone is not funny and vice versa. If john is brave or humble then someone is generous or kind. If someone is either creative or not patient then someone is both not humble and patient and vice ver... | Fred is not humble. | entailment | ((?[X]:((~calm(X)|tall(X))))=>(?[X]:((rich(X)<~>~old(X)))))&
(((~creative(fred)&~patient(fred)))<=>(?[X]:(~funny(X))))&
(((brave(john)|humble(john)))=>(?[X]:((generous(X)|kind(X)))))&
((?[X]:((creative(X)<~>~patient(X))))<=>(?[X]:((~humble(X)&patient(X)))))&
(((~rich(alice)&quiet(alice)))=>(?[X]:(~tall(X))))&
(![X]:((~... | ~humble(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 714782346409923199961516
% SZS output start Proof for 714782346409923199961516
13. ! [X0] : ((old(X0) | humble(X0)) <=> (~quiet(X0) & ~humble(X0))) [input p12]
25. humble(fred) [input hypothesis]
73. ! [X0] : (((old(X0) | humble(X0)) | (quiet(X0) | humble(X0))) & ((~quiet(X0) & ~humble(X0... | 0 |
If someone is either old or calm then someone is not old.
Everyone who is not curious is either not generous or not creative.
Everyone who is not rich is either not strong or funny and vice versa.
If someone is funny or brave then mary is both creative and strong and vice versa.
Everyone who is either not brave or not ... | John is kind. | entailment | ((?[X]:((old(X)<~>calm(X))))=>(?[X]:(~old(X))))&
(![X]:(~curious(X)=>(~generous(X)<~>~creative(X))))&
(![X]:(~rich(X)<=>(~strong(X)<~>funny(X))))&
((?[X]:((funny(X)|brave(X))))<=>((creative(mary)&strong(mary))))&
(![X]:((~brave(X)<~>~old(X))<=>wise(X)))&
(((~rich(susan)<~>wise(susan)))<=>((~happy(john)<~>~kind(john))))... | kind(john) | [
"p9",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8788984013630788368201887
% SZS output start Proof for 8788984013630788368201887
10. ! [X0] : (~tall(X0) <=> (~wise(X0) | ~creative(X0))) [input p9]
13. ! [X0] : (creative(X0) <=> kind(X0)) [input p12]
17. tall(john) & ~quiet(john) [input p16]
25. ~kind(john) [input hypothesis]
27. ! [X0]... | 0 |
Everyone who is not kind is either humble or old.
If someone is either not kind or patient then someone is either brave or not generous and vice versa.
Everyone who is both kind and not quiet is old or happy and vice versa.
Everyone who is curious is both not old and not curious.
If someone is both not funny and not ha... | Fred is not calm. | neutral | (![X]:(~kind(X)=>(humble(X)<~>old(X))))&
((?[X]:((~kind(X)<~>patient(X))))<=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((kind(X)&~quiet(X))<=>(old(X)|happy(X))))&
(![X]:(curious(X)=>(~old(X)&~curious(X))))&
((?[X]:((~funny(X)&~happy(X))))<=>((~happy(susan)|kind(susan))))&
(![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))... | ~calm(fred) | [] | null | 0 |
Everyone who is not curious is both not old and not quiet. Everyone who is both kind and not wise is both not humble and rich. If someone is not creative then someone is both not happy and humble and vice versa. Everyone who is not tall is either not old or not brave and vice versa. If someone is either calm or not kin... | Fred is kind. | contradiction | (![X]:(~curious(X)=>(~old(X)&~quiet(X))))&
(![X]:((kind(X)&~wise(X))=>(~humble(X)&rich(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~happy(X)&humble(X)))))&
(![X]:(~tall(X)<=>(~old(X)<~>~brave(X))))&
((?[X]:((calm(X)<~>~kind(X))))<=>((~calm(mary)<~>~old(mary))))&
(![X]:((patient(X)|tall(X))<=>(funny(X)|calm(X))))&
(![X]:((~... | kind(fred) | [
"p1",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 373571433468524299952935
% SZS output start Proof for 373571433468524299952935
2. ! [X0] : ((~wise(X0) & kind(X0)) => (rich(X0) & ~humble(X0))) [input p1]
10. ? [X0] : (~funny(X0) | wise(X0)) <=> ? [X0] : (creative(X0) & ~humble(X0)) [input p9]
11. ! [X0] : ((~humble(X0) | happy(X0)) => (... | 0 |
Everyone who is either not patient or old is funny and vice versa.
If lucy is wise then paul is rich and vice versa.
If john is not funny or not wise then fred is both brave and strong.
If lucy is rich or happy then someone is either kind or calm.
Everyone who is not strong or not patient is both strong and calm.
If fr... | Alice is not kind. | contradiction | (![X]:((~patient(X)<~>old(X))<=>funny(X)))&
((wise(lucy))<=>(rich(paul)))&
(((~funny(john)|~wise(john)))=>((brave(fred)&strong(fred))))&
(((rich(lucy)|happy(lucy)))=>(?[X]:((kind(X)<~>calm(X)))))&
(![X]:((~strong(X)|~patient(X))=>(strong(X)&calm(X))))&
(((tall(fred)<~>happy(fred)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
... | ~kind(alice) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1577437492987016925347782
% SZS output start Proof for 1577437492987016925347782
5. ! [X0] : ((~patient(X0) | ~strong(X0)) => (calm(X0) & strong(X0))) [input p4]
10. ! [X0] : ((strong(X0) <~> kind(X0)) <=> (~kind(X0) & ~strong(X0))) [input p9]
24. ~kind(alice) [input hypothesis]
29. ! [X0... | 0 |
Everyone who is either funny or rich is not happy or not old and vice versa. Everyone who is not curious is both brave and not funny and vice versa. If fred is brave then someone is kind or not patient. Everyone who is not wise or kind is not strong and vice versa. Everyone who is not kind or wise is not kind. If someo... | Fred is not kind. | entailment | (![X]:((funny(X)<~>rich(X))<=>(~happy(X)|~old(X))))&
(![X]:(~curious(X)<=>(brave(X)&~funny(X))))&
((brave(fred))=>(?[X]:((kind(X)|~patient(X)))))&
(![X]:((~wise(X)|kind(X))<=>~strong(X)))&
(![X]:((~kind(X)|wise(X))=>~kind(X)))&
((?[X]:((~calm(X)<~>funny(X))))<=>((~old(alice)|calm(alice))))&
((?[X]:((~strong(X)|~calm(X)... | ~kind(fred) | [
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3155559906124503843884363
% SZS output start Proof for 3155559906124503843884363
4. ! [X0] : ((kind(X0) | ~wise(X0)) <=> ~strong(X0)) [input p3]
5. ! [X0] : ((wise(X0) | ~kind(X0)) => ~kind(X0)) [input p4]
7. ? [X0] : (~calm(X0) | ~strong(X0)) <=> (strong(fred) & ~funny(fred)) [input p6]
... | 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 ... | Lucy is generous. | 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... | generous(lucy) | [] | null | 0 |
If someone is either rich or not old then someone is both generous and not creative. If someone is both happy and creative then someone is humble and vice versa. Everyone who is not happy is both not creative and not happy and vice versa. If someone is either not humble or not kind then paul is either not kind or humbl... | Mary is curious. | contradiction | ((?[X]:((rich(X)<~>~old(X))))=>(?[X]:((generous(X)&~creative(X)))))&
((?[X]:((happy(X)&creative(X))))<=>(?[X]:(humble(X))))&
(![X]:(~happy(X)<=>(~creative(X)&~happy(X))))&
((?[X]:((~humble(X)<~>~kind(X))))<=>((~kind(paul)<~>humble(paul))))&
(![X]:((calm(X)&~kind(X))<=>(~funny(X)<~>calm(X))))&
(((happy(paul)<~>~patient(... | curious(mary) | [
"p2",
"p7",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2732197631689103675476201
% SZS output start Proof for 2732197631689103675476201
3. ! [X0] : (~happy(X0) <=> (~happy(X0) & ~creative(X0))) [input p2]
8. ! [X0] : (~patient(X0) => (~old(X0) & ~curious(X0))) [input p7]
14. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (~tall(X0) | patient(X0))) [... | 0 |
Everyone who is tall is either quiet or kind. Everyone who is both generous and quiet is not creative or not happy. Everyone who is not wise or humble is both tall and not humble and vice versa. Everyone who is kind is either not rich or not tall and vice versa. Everyone who is either patient or not quiet is both not w... | Mary is not old. | neutral | (![X]:(tall(X)=>(quiet(X)<~>kind(X))))&
(![X]:((generous(X)&quiet(X))=>(~creative(X)|~happy(X))))&
(![X]:((~wise(X)|humble(X))<=>(tall(X)&~humble(X))))&
(![X]:(kind(X)<=>(~rich(X)<~>~tall(X))))&
(![X]:((patient(X)<~>~quiet(X))=>(~wise(X)&happy(X))))&
((?[X]:((patient(X)|humble(X))))=>((~curious(mary)<~>calm(mary))))&
(... | ~old(mary) | [] | null | 0 |
Everyone who is either not old or not creative is either humble or generous and vice versa.
If someone is creative or calm then someone is not old or rich and vice versa.
Everyone who is either creative or generous is both not strong and creative.
If fred is not kind or funny then mary is not quiet.
Everyone who is not... | Lucy is not patient. | contradiction | (![X]:((~old(X)<~>~creative(X))<=>(humble(X)<~>generous(X))))&
((?[X]:((creative(X)|calm(X))))<=>(?[X]:((~old(X)|rich(X)))))&
(![X]:((creative(X)<~>generous(X))=>(~strong(X)&creative(X))))&
(((~kind(fred)|funny(fred)))=>(~quiet(mary)))&
(![X]:(~wise(X)<=>(rich(X)|~patient(X))))&
(((kind(paul)|brave(paul)))=>(?[X]:(~pat... | ~patient(lucy) | [
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3546311908501406539649979
% SZS output start Proof for 3546311908501406539649979
9. ! [X0] : ((~patient(X0) | ~curious(X0)) => (~rich(X0) & brave(X0))) [input p8]
11. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> generous(X0)) [input p10]
13. ! [X0] : ((old(X0) & rich(X0)) <=> (~brave(X0) | ge... | 0 |
If mary is strong or not brave then mary is both not rich and quiet.
If someone is both tall and not generous then someone is either not strong or creative.
Everyone who is either not happy or calm is not creative.
If alice is both not happy and not funny then lucy is not strong or quiet and vice versa.
Everyone who is... | Alice is funny. | neutral | (((strong(mary)|~brave(mary)))=>((~rich(mary)&quiet(mary))))&
((?[X]:((tall(X)&~generous(X))))=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((~happy(X)<~>calm(X))=>~creative(X)))&
(((~happy(alice)&~funny(alice)))<=>((~strong(lucy)|quiet(lucy))))&
(![X]:((~curious(X)|quiet(X))=>calm(X)))&
(![X]:((brave(X)&generous(X))=>... | funny(alice) | [] | null | 0 |
Everyone who is creative is either rich or creative and vice versa.
Everyone who is not wise or strong is both patient and not creative and vice versa.
If someone is either not tall or not old then susan is strong and vice versa.
If someone is strong or patient then mary is both generous and not calm.
If alice is tall ... | Fred is not humble. | entailment | (![X]:(creative(X)<=>(rich(X)<~>creative(X))))&
(![X]:((~wise(X)|strong(X))<=>(patient(X)&~creative(X))))&
((?[X]:((~tall(X)<~>~old(X))))<=>(strong(susan)))&
((?[X]:((strong(X)|patient(X))))=>((generous(mary)&~calm(mary))))&
(((tall(alice)|creative(alice)))<=>((~kind(fred)|~humble(fred))))&
(![X]:((~creative(X)|quiet(X... | ~humble(fred) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 647575779670411227441476
% SZS output start Proof for 647575779670411227441476
1. ! [X0] : (creative(X0) <=> (rich(X0) <~> creative(X0))) [input p0]
15. ! [X0] : (~rich(X0) <=> (~curious(X0) & ~humble(X0))) [input p14]
22. humble(fred) [input hypothesis]
35. ! [X0] : ((creative(X0) | ((ri... | 0 |
If someone is either creative or not patient then someone is patient or not generous.
Everyone who is not funny is not calm and vice versa.
Everyone who is either not kind or not creative is old or calm.
If mary is both not brave and quiet then someone is either old or not happy.
Everyone who is not brave is not kind o... | Paul is not generous. | contradiction | ((?[X]:((creative(X)<~>~patient(X))))=>(?[X]:((patient(X)|~generous(X)))))&
(![X]:(~funny(X)<=>~calm(X)))&
(![X]:((~kind(X)<~>~creative(X))=>(old(X)|calm(X))))&
(((~brave(mary)&quiet(mary)))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:(~brave(X)=>(~kind(X)|strong(X))))&
((?[X]:((generous(X)<~>~tall(X))))=>(?[X]:((curious(X)... | ~generous(paul) | [
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4241382071190943389976028
% SZS output start Proof for 4241382071190943389976028
11. ! [X0] : ((~curious(X0) | ~rich(X0)) => tall(X0)) [input p10]
16. ! [X0] : ((rich(X0) | tall(X0)) => (~happy(X0) & ~patient(X0))) [input p15]
20. ~happy(paul) <~> ~generous(paul) [input p19]
22. ~generous... | 0 |
If someone is not happy then fred is both not rich and brave. If alice is either not patient or not old then someone is not tall. Everyone who is not rich or old is both kind and tall and vice versa. Everyone who is not wise or generous is wise. If someone is either patient or not tall then someone is both curious and ... | Alice is not patient. | entailment | ((?[X]:(~happy(X)))=>((~rich(fred)&brave(fred))))&
(((~patient(alice)<~>~old(alice)))=>(?[X]:(~tall(X))))&
(![X]:((~rich(X)|old(X))<=>(kind(X)&tall(X))))&
(![X]:((~wise(X)|generous(X))=>wise(X)))&
((?[X]:((patient(X)<~>~tall(X))))<=>(?[X]:((curious(X)&~happy(X)))))&
(![X]:((~old(X)|wise(X))=>(wise(X)<~>curious(X))))&
(... | ~patient(alice) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5208328156459358423379855
% SZS output start Proof for 5208328156459358423379855
3. ! [X0] : ((old(X0) | ~rich(X0)) <=> (tall(X0) & kind(X0))) [input p2]
4. ! [X0] : ((generous(X0) | ~wise(X0)) => wise(X0)) [input p3]
5. ? [X0] : (patient(X0) <~> ~tall(X0)) <=> ? [X0] : (~happy(X0) & curi... | 0 |
Everyone who is not brave or calm is generous or not calm.
If mary is both not funny and generous then john is both tall and not quiet.
Everyone who is either not patient or not tall is either not rich or not generous and vice versa.
If susan is either calm or not quiet then someone is not generous and vice versa.
If f... | Lucy is not humble. | contradiction | (![X]:((~brave(X)|calm(X))=>(generous(X)|~calm(X))))&
(((~funny(mary)&generous(mary)))=>((tall(john)&~quiet(john))))&
(![X]:((~patient(X)<~>~tall(X))<=>(~rich(X)<~>~generous(X))))&
(((calm(susan)<~>~quiet(susan)))<=>(?[X]:(~generous(X))))&
(((~creative(fred)&patient(fred)))=>(?[X]:((~rich(X)|generous(X)))))&
(((~calm(j... | ~humble(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2655868403103391545691500
% SZS output start Proof for 2655868403103391545691500
12. ! [X0] : ((happy(X0) | ~humble(X0)) => (humble(X0) & ~rich(X0))) [input p11]
25. ~humble(lucy) [input hypothesis]
42. ! [X0] : ((humble(X0) & ~rich(X0)) | (~happy(X0) & humble(X0))) [ennf transformation 1... | 0 |
If someone is not rich then someone is both not creative and brave and vice versa. Everyone who is kind is either not quiet or kind and vice versa. If someone is not calm then mary is not humble or rich. Everyone who is humble or not funny is both funny and not strong. If paul is either calm or rich then lucy is both w... | Fred is old. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:(kind(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:(~calm(X)))=>((~humble(mary)|rich(mary))))&
(![X]:((humble(X)|~funny(X))=>(funny(X)&~strong(X))))&
(((calm(paul)<~>rich(paul)))<=>((wise(lucy)&~tall(lucy))))&
((?[X]:(generous(X)))<=>(?[X]:(~humble(X))))&
(((~wise(m... | old(fred) | [] | null | 0 |
If lucy is both calm and not kind then someone is not humble or not old and vice versa. If mary is either not brave or not tall then mary is either generous or not calm and vice versa. Everyone who is either not patient or not quiet is either not quiet or quiet and vice versa. If someone is both not brave and creative ... | Lucy is rich. | neutral | (((calm(lucy)&~kind(lucy)))<=>(?[X]:((~humble(X)|~old(X)))))&
(((~brave(mary)<~>~tall(mary)))<=>((generous(mary)<~>~calm(mary))))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~quiet(X)<~>quiet(X))))&
((?[X]:((~brave(X)&creative(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((~quiet(X)|humble(X))))=>(?[X]:((~rich(X)<~>~creative(X)))))&
((... | rich(lucy) | [] | null | 0 |
If someone is either old or not quiet then paul is both not tall and not curious.
If someone is both strong and curious then lucy is quiet or not brave and vice versa.
Everyone who is not rich is both not quiet and curious.
Everyone who is either generous or not quiet is either wise or not kind.
If someone is both not ... | Mary is curious. | entailment | ((?[X]:((old(X)<~>~quiet(X))))=>((~tall(paul)&~curious(paul))))&
((?[X]:((strong(X)&curious(X))))<=>((quiet(lucy)|~brave(lucy))))&
(![X]:(~rich(X)=>(~quiet(X)&curious(X))))&
(![X]:((generous(X)<~>~quiet(X))=>(wise(X)<~>~kind(X))))&
((?[X]:((~humble(X)&calm(X))))<=>(?[X]:((~funny(X)&~generous(X)))))&
(![X]:((~patient(X)... | curious(mary) | [
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1499342402939194809965093
% SZS output start Proof for 1499342402939194809965093
3. ! [X0] : (~rich(X0) => (curious(X0) & ~quiet(X0))) [input p2]
23. ~rich(mary) [input p22]
25. ~curious(mary) [input hypothesis]
31. ! [X0] : ((curious(X0) & ~quiet(X0)) | rich(X0)) [ennf transformation 3]
... | 0 |
Everyone who is not strong is strong.
If someone is funny then someone is either tall or calm.
If someone is not calm or not tall then someone is either not patient or not tall.
If someone is either quiet or not curious then susan is both calm and not generous and vice versa.
Everyone who is kind or quiet is wise or ri... | Mary is quiet. | entailment | (![X]:(~strong(X)=>strong(X)))&
((?[X]:(funny(X)))=>(?[X]:((tall(X)<~>calm(X)))))&
((?[X]:((~calm(X)|~tall(X))))=>(?[X]:((~patient(X)<~>~tall(X)))))&
((?[X]:((quiet(X)<~>~curious(X))))<=>((calm(susan)&~generous(susan))))&
(![X]:((kind(X)|quiet(X))<=>(wise(X)|rich(X))))&
((?[X]:((brave(X)<~>~generous(X))))<=>((~calm(mar... | quiet(mary) | [
"p0",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2247312445744200055539468
% SZS output start Proof for 2247312445744200055539468
1. ! [X0] : (~strong(X0) => strong(X0)) [input p0]
12. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (strong(X0) <~> rich(X0))) [input p11]
14. ? [X0] : (calm(X0) & ~rich(X0)) <=> ? [X0] : (~quiet(X0) | old(X0)) [i... | 0 |
Everyone who is not patient or not creative is curious or funny. Everyone who is both happy and calm is both not brave and not tall. Everyone who is strong is both calm and generous. Everyone who is both calm and tall is not generous. Everyone who is not brave is both not funny and not calm. If someone is both not gene... | Lucy is creative. | neutral | (![X]:((~patient(X)|~creative(X))=>(curious(X)|funny(X))))&
(![X]:((happy(X)&calm(X))=>(~brave(X)&~tall(X))))&
(![X]:(strong(X)=>(calm(X)&generous(X))))&
(![X]:((calm(X)&tall(X))=>~generous(X)))&
(![X]:(~brave(X)=>(~funny(X)&~calm(X))))&
((?[X]:((~generous(X)&humble(X))))<=>((quiet(john)&generous(john))))&
(![X]:((happ... | creative(lucy) | [] | null | 0 |
Everyone who is both tall and old is either not happy or not kind and vice versa.
Everyone who is not rich is either strong or generous.
Everyone who is kind or curious is not creative and vice versa.
If lucy is both rich and not patient then someone is not humble.
If lucy is funny or old then someone is either not str... | Lucy is kind. | entailment | (![X]:((tall(X)&old(X))<=>(~happy(X)<~>~kind(X))))&
(![X]:(~rich(X)=>(strong(X)<~>generous(X))))&
(![X]:((kind(X)|curious(X))<=>~creative(X)))&
(((rich(lucy)&~patient(lucy)))=>(?[X]:(~humble(X))))&
(((funny(lucy)|old(lucy)))=>(?[X]:((~strong(X)<~>~curious(X)))))&
(![X]:(old(X)<=>(curious(X)|~calm(X))))&
((?[X]:(~humble... | kind(lucy) | [
"p2",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7918402853190177735136796
% SZS output start Proof for 7918402853190177735136796
3. ! [X0] : ((curious(X0) | kind(X0)) <=> ~creative(X0)) [input p2]
8. ! [X0] : ((creative(X0) <~> curious(X0)) => (generous(X0) & wise(X0))) [input p7]
21. ~calm(lucy) & ~generous(lucy) [input p20]
24. ~kind... | 0 |
If susan is either not tall or quiet then someone is creative or quiet and vice versa. Everyone who is not happy is both curious and rich and vice versa. If someone is patient then someone is both happy and strong. Everyone who is either not humble or not creative is both generous and wise. If susan is not rich then so... | Paul is not wise. | neutral | (((~tall(susan)<~>quiet(susan)))<=>(?[X]:((creative(X)|quiet(X)))))&
(![X]:(~happy(X)<=>(curious(X)&rich(X))))&
((?[X]:(patient(X)))=>(?[X]:((happy(X)&strong(X)))))&
(![X]:((~humble(X)<~>~creative(X))=>(generous(X)&wise(X))))&
((~rich(susan))<=>(?[X]:((~patient(X)<~>~tall(X)))))&
((~tall(mary))<=>((generous(fred)<~>pat... | ~wise(paul) | [] | null | 0 |
If someone is tall then john is kind or brave and vice versa. Everyone who is both not funny and humble is not generous or not brave. Everyone who is generous is not old. Everyone who is both humble and funny is not rich or strong and vice versa. Everyone who is strong is creative or not brave. Everyone who is brave or... | Susan is not calm. | entailment | ((?[X]:(tall(X)))<=>((kind(john)|brave(john))))&
(![X]:((~funny(X)&humble(X))=>(~generous(X)|~brave(X))))&
(![X]:(generous(X)=>~old(X)))&
(![X]:((humble(X)&funny(X))<=>(~rich(X)|strong(X))))&
(![X]:(strong(X)=>(creative(X)|~brave(X))))&
(![X]:((brave(X)|~old(X))<=>~kind(X)))&
(![X]:((rich(X)&funny(X))<=>(strong(X)&calm... | ~calm(susan) | [
"p3",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 732704321090386495709830
% SZS output start Proof for 732704321090386495709830
4. ! [X0] : ((funny(X0) & humble(X0)) <=> (strong(X0) | ~rich(X0))) [input p3]
15. ! [X0] : ((~humble(X0) & ~kind(X0)) <=> calm(X0)) [input p14]
21. ~creative(susan) & ~rich(susan) [input p20]
24. calm(susan) [... | 0 |
If susan is not rich then someone is either quiet or happy.
If mary is either not kind or funny then mary is not rich or not happy.
If someone is both not quiet and old then someone is either not strong or not curious.
Everyone who is brave is both not generous and not patient and vice versa.
Everyone who is not strong... | Mary is not strong. | neutral | ((~rich(susan))=>(?[X]:((quiet(X)<~>happy(X)))))&
(((~kind(mary)<~>funny(mary)))=>((~rich(mary)|~happy(mary))))&
((?[X]:((~quiet(X)&old(X))))=>(?[X]:((~strong(X)<~>~curious(X)))))&
(![X]:(brave(X)<=>(~generous(X)&~patient(X))))&
(![X]:((~strong(X)|rich(X))=>(curious(X)<~>funny(X))))&
(![X]:((creative(X)&rich(X))=>(~wis... | ~strong(mary) | [] | null | 0 |
If mary is kind then mary is humble and vice versa. If lucy is both not happy and not wise then someone is not strong or not happy and vice versa. If paul is tall then someone is both old and not old and vice versa. If someone is humble or not humble then alice is either not brave or patient and vice versa. If susan is... | John is not generous. | entailment | ((kind(mary))<=>(humble(mary)))&
(((~happy(lucy)&~wise(lucy)))<=>(?[X]:((~strong(X)|~happy(X)))))&
((tall(paul))<=>(?[X]:((old(X)&~old(X)))))&
((?[X]:((humble(X)|~humble(X))))<=>((~brave(alice)<~>patient(alice))))&
(((calm(susan)|~curious(susan)))=>((~wise(john)&happy(john))))&
((?[X]:(~kind(X)))=>(?[X]:(~strong(X))))&... | ~generous(john) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5433087136422213766444880
% SZS output start Proof for 5433087136422213766444880
10. ! [X0] : ((~brave(X0) | generous(X0)) <=> (~old(X0) & ~tall(X0))) [input p9]
16. ! [X0] : ((~tall(X0) | curious(X0)) => (~wise(X0) & old(X0))) [input p15]
24. generous(john) [input hypothesis]
36. ! [X0] ... | 0 |
If mary is not rich then someone is either strong or not funny and vice versa.
Everyone who is not brave or curious is either humble or happy and vice versa.
Everyone who is both not calm and old is patient.
If someone is not brave or not kind then susan is old or not patient and vice versa.
If john is both calm and no... | John is not generous. | entailment | ((~rich(mary))<=>(?[X]:((strong(X)<~>~funny(X)))))&
(![X]:((~brave(X)|curious(X))<=>(humble(X)<~>happy(X))))&
(![X]:((~calm(X)&old(X))=>patient(X)))&
((?[X]:((~brave(X)|~kind(X))))<=>((old(susan)|~patient(susan))))&
(((calm(john)&~strong(john)))=>(?[X]:((calm(X)|~calm(X)))))&
(![X]:((~wise(X)&kind(X))=>(curious(X)|~old... | ~generous(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 55355500356990373823603
% SZS output start Proof for 55355500356990373823603
10. ! [X0] : ((patient(X0) | ~patient(X0)) => (~generous(X0) & calm(X0))) [input p9]
25. generous(john) [input hypothesis]
39. ! [X0] : ((~generous(X0) & calm(X0)) | (~patient(X0) & patient(X0))) [ennf transforma... | 0 |
Everyone who is tall or not rich is either funny or not generous. Everyone who is not curious or creative is creative. If paul is patient then someone is either happy or not curious. If someone is not creative or not kind then someone is not tall. If someone is both old and not calm then someone is not strong and vice ... | Fred is not calm. | entailment | (![X]:((tall(X)|~rich(X))=>(funny(X)<~>~generous(X))))&
(![X]:((~curious(X)|creative(X))=>creative(X)))&
((patient(paul))=>(?[X]:((happy(X)<~>~curious(X)))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(~tall(X))))&
((?[X]:((old(X)&~calm(X))))<=>(?[X]:(~strong(X))))&
((old(susan))=>((rich(lucy)<~>happy(lucy))))&
(![X]:((... | ~calm(fred) | [
"p0",
"p6",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4126342943607700319609785
% SZS output start Proof for 4126342943607700319609785
1. ! [X0] : ((~rich(X0) | tall(X0)) => (funny(X0) <~> ~generous(X0))) [input p0]
7. ! [X0] : ((patient(X0) | ~tall(X0)) => ~calm(X0)) [input p6]
10. ! [X0] : ((generous(X0) | ~calm(X0)) <=> (~calm(X0) | ~funn... | 0 |
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