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 curious is both funny and not generous and vice versa. Everyone who is either funny or not creative is either not happy or old and vice versa. If someone is tall or not rich then mary is both rich and old and vice versa. If paul is both happy and old then john is not patient or kind and vice versa. Ever... | Paul is happy. | neutral | (![X]:(curious(X)<=>(funny(X)&~generous(X))))&
(![X]:((funny(X)<~>~creative(X))<=>(~happy(X)<~>old(X))))&
((?[X]:((tall(X)|~rich(X))))<=>((rich(mary)&old(mary))))&
(((happy(paul)&old(paul)))<=>((~patient(john)|kind(john))))&
(![X]:((~rich(X)&~wise(X))=>(~rich(X)&calm(X))))&
(![X]:((happy(X)|~tall(X))=>(~quiet(X)|~brave... | happy(paul) | [] | null | 0 |
If mary is both not wise and rich then susan is not tall or kind and vice versa.
Everyone who is creative or not happy is both not rich and not old.
Everyone who is either creative or not tall is both strong and not old.
If susan is both not funny and wise then john is either not happy or brave.
Everyone who is both hu... | Fred is not creative. | entailment | (((~wise(mary)&rich(mary)))<=>((~tall(susan)|kind(susan))))&
(![X]:((creative(X)|~happy(X))=>(~rich(X)&~old(X))))&
(![X]:((creative(X)<~>~tall(X))=>(strong(X)&~old(X))))&
(((~funny(susan)&wise(susan)))=>((~happy(john)<~>brave(john))))&
(![X]:((humble(X)&~strong(X))<=>(~old(X)<~>~creative(X))))&
(![X]:((brave(X)<~>~tall... | ~creative(fred) | [
"p1",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7413193232769500944190512
% SZS output start Proof for 7413193232769500944190512
2. ! [X0] : ((~happy(X0) | creative(X0)) => (~old(X0) & ~rich(X0))) [input p1]
5. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~old(X0) <~> ~creative(X0))) [input p4]
15. ! [X0] : (~humble(X0) <=> ~old(X0)) [inp... | 0 |
Everyone who is kind is not strong and vice versa. If someone is either generous or not patient then someone is not calm and vice versa. Everyone who is generous is either not generous or not quiet and vice versa. If someone is both humble and quiet then alice is curious or old and vice versa. If susan is either not cu... | Fred is not brave. | neutral | (![X]:(kind(X)<=>~strong(X)))&
((?[X]:((generous(X)<~>~patient(X))))<=>(?[X]:(~calm(X))))&
(![X]:(generous(X)<=>(~generous(X)<~>~quiet(X))))&
((?[X]:((humble(X)&quiet(X))))<=>((curious(alice)|old(alice))))&
(((~curious(susan)<~>curious(susan)))=>(?[X]:(~curious(X))))&
(((~patient(mary)|~kind(mary)))=>((~old(paul)<~>~ki... | ~brave(fred) | [] | null | 0 |
If someone is creative then susan is both happy and not creative and vice versa.
If susan is both generous and not brave then someone is both happy and not creative.
Everyone who is not brave or not funny is not curious or not patient.
Everyone who is not brave or kind is not brave or brave and vice versa.
Everyone who... | Lucy is not curious. | contradiction | ((?[X]:(creative(X)))<=>((happy(susan)&~creative(susan))))&
(((generous(susan)&~brave(susan)))=>(?[X]:((happy(X)&~creative(X)))))&
(![X]:((~brave(X)|~funny(X))=>(~curious(X)|~patient(X))))&
(![X]:((~brave(X)|kind(X))<=>(~brave(X)|brave(X))))&
(![X]:((funny(X)|~kind(X))=>(~strong(X)<~>curious(X))))&
((?[X]:(~rich(X)))<=... | ~curious(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6720684677195029653262838
% SZS output start Proof for 6720684677195029653262838
9. ! [X0] : ((~tall(X0) & ~curious(X0)) <=> tall(X0)) [input p8]
24. ~curious(lucy) [input hypothesis]
51. ! [X0] : (((~tall(X0) & ~curious(X0)) | ~tall(X0)) & (tall(X0) | (tall(X0) | curious(X0)))) [nnf tran... | 0 |
If alice is brave then someone is kind or not strong and vice versa.
Everyone who is both not happy and funny is either brave or kind and vice versa.
Everyone who is not creative or not brave is either not old or not strong.
Everyone who is both not funny and not patient is wise or rich and vice versa.
Everyone who is ... | Lucy is not funny. | contradiction | ((brave(alice))<=>(?[X]:((kind(X)|~strong(X)))))&
(![X]:((~happy(X)&funny(X))<=>(brave(X)<~>kind(X))))&
(![X]:((~creative(X)|~brave(X))=>(~old(X)<~>~strong(X))))&
(![X]:((~funny(X)&~patient(X))<=>(wise(X)|rich(X))))&
(![X]:(~humble(X)=>(~tall(X)&generous(X))))&
(((~tall(john)<~>~creative(john)))=>(?[X]:((~curious(X)|~o... | ~funny(lucy) | [
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4913342300140836126198556
% SZS output start Proof for 4913342300140836126198556
4. ! [X0] : ((~patient(X0) & ~funny(X0)) <=> (rich(X0) | wise(X0))) [input p3]
7. ! [X0] : ((rich(X0) & ~calm(X0)) <=> ~funny(X0)) [input p6]
11. ! [X0] : (~funny(X0) => (patient(X0) & ~happy(X0))) [input p10... | 0 |
Everyone who is either not generous or not kind is either wise or not creative and vice versa. Everyone who is both not quiet and not calm is either strong or rich and vice versa. Everyone who is both funny and creative is both not kind and generous. If someone is either funny or strong then someone is not curious. Eve... | John is not kind. | neutral | (![X]:((~generous(X)<~>~kind(X))<=>(wise(X)<~>~creative(X))))&
(![X]:((~quiet(X)&~calm(X))<=>(strong(X)<~>rich(X))))&
(![X]:((funny(X)&creative(X))=>(~kind(X)&generous(X))))&
((?[X]:((funny(X)<~>strong(X))))=>(?[X]:(~curious(X))))&
(![X]:(~old(X)=>(~quiet(X)|creative(X))))&
((?[X]:(calm(X)))=>(?[X]:(~curious(X))))&
((?... | ~kind(john) | [] | null | 0 |
Everyone who is either happy or not curious is not tall or curious and vice versa.
Everyone who is not wise is either not kind or humble and vice versa.
If lucy is curious or not kind then lucy is both not funny and generous and vice versa.
Everyone who is both not quiet and generous is both not tall and not happy.
Eve... | Lucy is calm. | contradiction | (![X]:((happy(X)<~>~curious(X))<=>(~tall(X)|curious(X))))&
(![X]:(~wise(X)<=>(~kind(X)<~>humble(X))))&
(((curious(lucy)|~kind(lucy)))<=>((~funny(lucy)&generous(lucy))))&
(![X]:((~quiet(X)&generous(X))=>(~tall(X)&~happy(X))))&
(![X]:((humble(X)&~generous(X))<=>(~funny(X)|rich(X))))&
(((quiet(susan)&strong(susan)))<=>((t... | calm(lucy) | [
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6034592329808714123478982
% SZS output start Proof for 6034592329808714123478982
3. (~kind(lucy) | curious(lucy)) <=> (generous(lucy) & ~funny(lucy)) [input p2]
12. ! [X0] : (~kind(X0) <=> (~generous(X0) & ~creative(X0))) [input p11]
15. ! [X0] : ((~creative(X0) & ~generous(X0)) <=> (pati... | 0 |
Everyone who is not tall is either not patient or brave and vice versa.
Everyone who is either old or not rich is creative or not wise.
If someone is either not kind or curious then susan is wise and vice versa.
If someone is kind then fred is either not old or rich.
Everyone who is generous or not patient is both funn... | Alice is wise. | entailment | (![X]:(~tall(X)<=>(~patient(X)<~>brave(X))))&
(![X]:((old(X)<~>~rich(X))=>(creative(X)|~wise(X))))&
((?[X]:((~kind(X)<~>curious(X))))<=>(wise(susan)))&
((?[X]:(kind(X)))=>((~old(fred)<~>rich(fred))))&
(![X]:((generous(X)|~patient(X))=>(funny(X)&happy(X))))&
(![X]:((~funny(X)<~>~generous(X))<=>(calm(X)<~>generous(X))))&... | wise(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8888505013266780062239693
% SZS output start Proof for 8888505013266780062239693
7. ? [X0] : (happy(X0) & ~happy(X0)) <=> ? [X0] : ~wise(X0) [input p6]
22. ~wise(alice) [input hypothesis]
23. ? [X0] : (happy(X0) & ~happy(X0)) <=> ? [X1] : ~wise(X1) [rectify 7]
43. (? [X0] : (happy(X0) & ~... | 0 |
Everyone who is either not happy or patient is funny or tall and vice versa. If someone is calm then john is both rich and not happy and vice versa. Everyone who is either patient or old is not creative or not tall and vice versa. Everyone who is not funny is kind or patient. If lucy is strong then susan is either wise... | Alice is patient. | entailment | (![X]:((~happy(X)<~>patient(X))<=>(funny(X)|tall(X))))&
((?[X]:(calm(X)))<=>((rich(john)&~happy(john))))&
(![X]:((patient(X)<~>old(X))<=>(~creative(X)|~tall(X))))&
(![X]:(~funny(X)=>(kind(X)|patient(X))))&
((strong(lucy))=>((wise(susan)<~>rich(susan))))&
(![X]:((curious(X)<~>~creative(X))<=>(~old(X)|quiet(X))))&
(((str... | patient(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2739573509854940175464711
% SZS output start Proof for 2739573509854940175464711
23. patient(alice) [input p22]
25. ~patient(alice) [input hypothesis]
153. patient(alice) [cnf transformation 23]
155. ~patient(alice) [cnf transformation 25]
315. $false [subsumption resolution 155,153]
% SZ... | 0 |
If someone is both generous and not quiet then someone is not patient.
If someone is kind or patient then someone is not generous or not curious.
Everyone who is not curious is strong or not patient and vice versa.
If john is both brave and not rich then alice is both happy and curious.
Everyone who is not rich is both... | John is wise. | contradiction | ((?[X]:((generous(X)&~quiet(X))))=>(?[X]:(~patient(X))))&
((?[X]:((kind(X)|patient(X))))=>(?[X]:((~generous(X)|~curious(X)))))&
(![X]:(~curious(X)<=>(strong(X)|~patient(X))))&
(((brave(john)&~rich(john)))=>((happy(alice)&curious(alice))))&
(![X]:(~rich(X)<=>(creative(X)&kind(X))))&
(![X]:((~creative(X)<~>creative(X))<=... | wise(john) | [
"p2",
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4393782383106817556551592
% SZS output start Proof for 4393782383106817556551592
3. ! [X0] : (~curious(X0) <=> (~patient(X0) | strong(X0))) [input p2]
6. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> (funny(X0) & brave(X0))) [input p5]
9. ! [X0] : (~kind(X0) <=> (calm(X0) <~> ~calm(X0)))... | 0 |
Everyone who is either not funny or not patient is either brave or tall and vice versa.
Everyone who is not humble is not tall and vice versa.
Everyone who is not strong or not happy is calm or not brave.
Everyone who is either curious or humble is both kind and not humble.
Everyone who is both rich and wise is either ... | Alice is humble. | neutral | (![X]:((~funny(X)<~>~patient(X))<=>(brave(X)<~>tall(X))))&
(![X]:(~humble(X)<=>~tall(X)))&
(![X]:((~strong(X)|~happy(X))=>(calm(X)|~brave(X))))&
(![X]:((curious(X)<~>humble(X))=>(kind(X)&~humble(X))))&
(![X]:((rich(X)&wise(X))<=>(quiet(X)<~>strong(X))))&
(((~tall(alice)&old(alice)))=>(?[X]:((~patient(X)|kind(X)))))&
(!... | humble(alice) | [] | null | 0 |
If mary is both strong and rich then alice is creative and vice versa. If paul is generous then someone is not curious and vice versa. Everyone who is both old and not humble is patient or kind. Everyone who is both not calm and wise is either curious or not funny and vice versa. If alice is not old or not curious then... | Alice is not kind. | neutral | (((strong(mary)&rich(mary)))<=>(creative(alice)))&
((generous(paul))<=>(?[X]:(~curious(X))))&
(![X]:((old(X)&~humble(X))=>(patient(X)|kind(X))))&
(![X]:((~calm(X)&wise(X))<=>(curious(X)<~>~funny(X))))&
(((~old(alice)|~curious(alice)))=>(?[X]:(curious(X))))&
(![X]:((quiet(X)|brave(X))<=>(~curious(X)&curious(X))))&
(((cr... | ~kind(alice) | [] | null | 0 |
If mary is either not strong or generous then paul is not calm and vice versa. If susan is either happy or not wise then paul is either not humble or not rich. If fred is either kind or wise then lucy is either not brave or old and vice versa. Everyone who is either funny or not rich is both not wise and not calm. Ever... | Lucy is not happy. | neutral | (((~strong(mary)<~>generous(mary)))<=>(~calm(paul)))&
(((happy(susan)<~>~wise(susan)))=>((~humble(paul)<~>~rich(paul))))&
(((kind(fred)<~>wise(fred)))<=>((~brave(lucy)<~>old(lucy))))&
(![X]:((funny(X)<~>~rich(X))=>(~wise(X)&~calm(X))))&
(![X]:((creative(X)|old(X))=>(~creative(X)&~brave(X))))&
(![X]:((patient(X)&kind(X)... | ~happy(lucy) | [] | null | 0 |
Everyone who is either not creative or not strong is either not calm or not rich. If someone is kind then john is not quiet or curious and vice versa. If someone is both generous and not rich then someone is either old or brave and vice versa. Everyone who is not humble is both funny and not patient. If susan is not ta... | Mary is happy. | contradiction | (![X]:((~creative(X)<~>~strong(X))=>(~calm(X)<~>~rich(X))))&
((?[X]:(kind(X)))<=>((~quiet(john)|curious(john))))&
((?[X]:((generous(X)&~rich(X))))<=>(?[X]:((old(X)<~>brave(X)))))&
(![X]:(~humble(X)=>(funny(X)&~patient(X))))&
((~tall(susan))=>(?[X]:((~quiet(X)<~>strong(X)))))&
((?[X]:((~generous(X)|~patient(X))))=>(?[X]... | happy(mary) | [
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 123562915481660987991032
% SZS output start Proof for 123562915481660987991032
8. ! [X0] : ((~funny(X0) & tall(X0)) <=> happy(X0)) [input p7]
22. ~tall(mary) [input p21]
25. happy(mary) [input hypothesis]
56. ! [X0] : (((~funny(X0) & tall(X0)) | ~happy(X0)) & (happy(X0) | (funny(X0) | ~ta... | 0 |
If john is strong or not wise then john is either funny or not humble and vice versa.
Everyone who is not strong is both not kind and not brave and vice versa.
If fred is either old or not brave then someone is quiet and vice versa.
Everyone who is kind or calm is both patient and happy and vice versa.
If alice is happ... | Lucy is not quiet. | neutral | (((strong(john)|~wise(john)))<=>((funny(john)<~>~humble(john))))&
(![X]:(~strong(X)<=>(~kind(X)&~brave(X))))&
(((old(fred)<~>~brave(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((kind(X)|calm(X))<=>(patient(X)&happy(X))))&
(((happy(alice)|brave(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)&~tall(X))<=>(~wise(X)|funny(X))))&... | ~quiet(lucy) | [] | null | 0 |
Everyone who is creative or not calm is either quiet or not happy.
Everyone who is both funny and not strong is generous or happy and vice versa.
Everyone who is both not curious and calm is both creative and not quiet.
Everyone who is not tall or funny is wise or not rich and vice versa.
If fred is not generous or not... | Paul is old. | neutral | (![X]:((creative(X)|~calm(X))=>(quiet(X)<~>~happy(X))))&
(![X]:((funny(X)&~strong(X))<=>(generous(X)|happy(X))))&
(![X]:((~curious(X)&calm(X))=>(creative(X)&~quiet(X))))&
(![X]:((~tall(X)|funny(X))<=>(wise(X)|~rich(X))))&
(((~generous(fred)|~patient(fred)))=>(?[X]:((wise(X)|calm(X)))))&
(![X]:(~rich(X)<=>generous(X)))&... | old(paul) | [] | null | 0 |
Everyone who is both creative and not curious is not kind and vice versa.
Everyone who is both curious and brave is funny or patient and vice versa.
Everyone who is either not creative or not brave is both not funny and not brave and vice versa.
If paul is both creative and not happy then mary is not old or not calm.
E... | Lucy is old. | neutral | (![X]:((creative(X)&~curious(X))<=>~kind(X)))&
(![X]:((curious(X)&brave(X))<=>(funny(X)|patient(X))))&
(![X]:((~creative(X)<~>~brave(X))<=>(~funny(X)&~brave(X))))&
(((creative(paul)&~happy(paul)))=>((~old(mary)|~calm(mary))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(creative(X)&~wise(X))))&
((?[X]:((happy(X)|~humble(X))))=>(c... | old(lucy) | [] | null | 0 |
Everyone who is both not generous and not rich is either not generous or not old.
Everyone who is happy is either tall or not quiet.
Everyone who is either not brave or not creative is either not humble or kind.
If someone is not curious then someone is both funny and creative.
Everyone who is not creative or not kind ... | Mary is not brave. | neutral | (![X]:((~generous(X)&~rich(X))=>(~generous(X)<~>~old(X))))&
(![X]:(happy(X)=>(tall(X)<~>~quiet(X))))&
(![X]:((~brave(X)<~>~creative(X))=>(~humble(X)<~>kind(X))))&
((?[X]:(~curious(X)))=>(?[X]:((funny(X)&creative(X)))))&
(![X]:((~creative(X)|~kind(X))<=>~patient(X)))&
(![X]:((~rich(X)|rich(X))=>~strong(X)))&
(((happy(fr... | ~brave(mary) | [] | null | 0 |
Everyone who is either not humble or not calm is either not funny or happy and vice versa.
Everyone who is funny is either generous or tall and vice versa.
If someone is not generous or old then someone is not old.
If someone is happy or not kind then someone is either creative or old and vice versa.
If alice is curiou... | Mary is wise. | neutral | (![X]:((~humble(X)<~>~calm(X))<=>(~funny(X)<~>happy(X))))&
(![X]:(funny(X)<=>(generous(X)<~>tall(X))))&
((?[X]:((~generous(X)|old(X))))=>(?[X]:(~old(X))))&
((?[X]:((happy(X)|~kind(X))))<=>(?[X]:((creative(X)<~>old(X)))))&
((curious(alice))=>(?[X]:(~kind(X))))&
(((wise(lucy)&~humble(lucy)))<=>(?[X]:((~old(X)<~>calm(X)))... | wise(mary) | [] | null | 0 |
If alice is curious or generous then paul is not rich or not wise and vice versa. Everyone who is either not old or generous is both not old and not quiet and vice versa. Everyone who is both rich and not curious is curious and vice versa. If paul is both not happy and rich then someone is either generous or not rich. ... | John is not calm. | neutral | (((curious(alice)|generous(alice)))<=>((~rich(paul)|~wise(paul))))&
(![X]:((~old(X)<~>generous(X))<=>(~old(X)&~quiet(X))))&
(![X]:((rich(X)&~curious(X))<=>curious(X)))&
(((~happy(paul)&rich(paul)))=>(?[X]:((generous(X)<~>~rich(X)))))&
(![X]:(old(X)<=>wise(X)))&
(![X]:((~funny(X)|generous(X))=>(~happy(X)&~creative(X))))... | ~calm(john) | [] | null | 0 |
Everyone who is both quiet and kind is both not creative and funny and vice versa. If someone is both not creative and curious then fred is happy or patient. Everyone who is strong is not tall or brave and vice versa. If someone is both not generous and not brave then someone is wise or not quiet. Everyone who is not p... | Paul is not strong. | contradiction | (![X]:((quiet(X)&kind(X))<=>(~creative(X)&funny(X))))&
((?[X]:((~creative(X)&curious(X))))=>((happy(fred)|patient(fred))))&
(![X]:(strong(X)<=>(~tall(X)|brave(X))))&
((?[X]:((~generous(X)&~brave(X))))=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:(~patient(X)=>wise(X)))&
(((old(fred)&kind(fred)))<=>(?[X]:((old(X)<~>~creative(X... | ~strong(paul) | [
"p7",
"p13",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5536065988962274201319159
% SZS output start Proof for 5536065988962274201319159
8. ? [X0] : (wise(X0) | quiet(X0)) <=> (strong(paul) & wise(paul)) [input p7]
14. ? [X0] : ~curious(X0) => (~funny(mary) & calm(mary)) [input p13]
19. ~curious(alice) [input p18]
23. ~calm(mary) | quiet(mary)... | 0 |
Everyone who is not humble or not curious is patient or not kind and vice versa.
Everyone who is not happy or generous is not patient and vice versa.
Everyone who is strong or not happy is not creative.
If someone is old or kind then someone is either humble or curious.
If lucy is both not wise and creative then mary i... | Lucy is not tall. | neutral | (![X]:((~humble(X)|~curious(X))<=>(patient(X)|~kind(X))))&
(![X]:((~happy(X)|generous(X))<=>~patient(X)))&
(![X]:((strong(X)|~happy(X))=>~creative(X)))&
((?[X]:((old(X)|kind(X))))=>(?[X]:((humble(X)<~>curious(X)))))&
(((~wise(lucy)&creative(lucy)))<=>(~funny(mary)))&
(![X]:((patient(X)|~kind(X))<=>(~creative(X)<~>tall(... | ~tall(lucy) | [] | null | 0 |
Everyone who is either curious or not humble is both patient and old and vice versa.
Everyone who is both not calm and not rich is curious.
If alice is either brave or not humble then someone is not calm.
If someone is either happy or tall then susan is not tall.
If paul is both kind and rich then someone is either cur... | Alice is not quiet. | entailment | (![X]:((curious(X)<~>~humble(X))<=>(patient(X)&old(X))))&
(![X]:((~calm(X)&~rich(X))=>curious(X)))&
(((brave(alice)<~>~humble(alice)))=>(?[X]:(~calm(X))))&
((?[X]:((happy(X)<~>tall(X))))=>(~tall(susan)))&
(((kind(paul)&rich(paul)))=>(?[X]:((curious(X)<~>~happy(X)))))&
(![X]:((quiet(X)|~tall(X))<=>~happy(X)))&
(![X]:(~b... | ~quiet(alice) | [
"p0",
"p5",
"p6",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4764172346023716764523458
% SZS output start Proof for 4764172346023716764523458
1. ! [X0] : ((curious(X0) <~> ~humble(X0)) <=> (old(X0) & patient(X0))) [input p0]
6. ! [X0] : ((~tall(X0) | quiet(X0)) <=> ~happy(X0)) [input p5]
7. ! [X0] : (~brave(X0) <=> (creative(X0) & rich(X0))) [input... | 0 |
Everyone who is not brave or tall is not old or not calm and vice versa.
Everyone who is not tall or calm is brave or generous.
If john is either curious or humble then lucy is generous and vice versa.
Everyone who is happy or kind is both not rich and not quiet and vice versa.
If someone is generous then someone is no... | Lucy is generous. | neutral | (![X]:((~brave(X)|tall(X))<=>(~old(X)|~calm(X))))&
(![X]:((~tall(X)|calm(X))=>(brave(X)|generous(X))))&
(((curious(john)<~>humble(john)))<=>(generous(lucy)))&
(![X]:((happy(X)|kind(X))<=>(~rich(X)&~quiet(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~curious(X)|~funny(X)))))&
(![X]:(~patient(X)<=>(kind(X)|patient(X))))&
(![X]... | generous(lucy) | [] | null | 0 |
If someone is either happy or humble then someone is not patient and vice versa. If paul is both not calm and old then someone is both not generous and not kind and vice versa. Everyone who is curious or wise is rich or calm. If someone is not calm or tall then paul is curious and vice versa. Everyone who is rich is ei... | Paul is not brave. | contradiction | ((?[X]:((happy(X)<~>humble(X))))<=>(?[X]:(~patient(X))))&
(((~calm(paul)&old(paul)))<=>(?[X]:((~generous(X)&~kind(X)))))&
(![X]:((curious(X)|wise(X))=>(rich(X)|calm(X))))&
((?[X]:((~calm(X)|tall(X))))<=>(curious(paul)))&
(![X]:(rich(X)=>(funny(X)<~>strong(X))))&
(((wise(fred)&humble(fred)))=>((~strong(alice)<~>tall(ali... | ~brave(paul) | [
"p7",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2298596541682586605545262
% SZS output start Proof for 2298596541682586605545262
8. ! [X0] : (~calm(X0) <=> (~quiet(X0) & ~tall(X0))) [input p7]
13. ! [X0] : ((~wise(X0) | wise(X0)) <=> ~calm(X0)) [input p12]
23. quiet(paul) | brave(paul) [input p22]
24. ~brave(paul) [input hypothesis]
58... | 0 |
If someone is not humble or not curious then someone is funny or not old and vice versa.
If someone is strong then alice is not rich.
Everyone who is either creative or strong is both not humble and not curious and vice versa.
If fred is strong then someone is either tall or not curious.
If john is not patient then ali... | Alice is not tall. | contradiction | ((?[X]:((~humble(X)|~curious(X))))<=>(?[X]:((funny(X)|~old(X)))))&
((?[X]:(strong(X)))=>(~rich(alice)))&
(![X]:((creative(X)<~>strong(X))<=>(~humble(X)&~curious(X))))&
((strong(fred))=>(?[X]:((tall(X)<~>~curious(X)))))&
((~patient(john))<=>(happy(alice)))&
(((strong(mary)&humble(mary)))<=>(?[X]:((~wise(X)<~>strong(X)))... | ~tall(alice) | [
"p1",
"p7",
"p9",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1138472263250139217682607
% SZS output start Proof for 1138472263250139217682607
2. ? [X0] : strong(X0) => ~rich(alice) [input p1]
8. ! [X0] : ((~calm(X0) | ~generous(X0)) => ~kind(X0)) [input p7]
10. ! [X0] : (kind(X0) <=> (creative(X0) <~> ~creative(X0))) [input p9]
12. ! [X0] : (~tall(... | 0 |
If alice is not generous then lucy is both not strong and curious.
If lucy is not quiet or wise then someone is both strong and funny.
Everyone who is creative is strong or happy and vice versa.
Everyone who is tall or strong is humble and vice versa.
Everyone who is not patient or not calm is both funny and old.
Every... | Lucy is curious. | contradiction | ((~generous(alice))=>((~strong(lucy)&curious(lucy))))&
(((~quiet(lucy)|wise(lucy)))=>(?[X]:((strong(X)&funny(X)))))&
(![X]:(creative(X)<=>(strong(X)|happy(X))))&
(![X]:((tall(X)|strong(X))<=>humble(X)))&
(![X]:((~patient(X)|~calm(X))=>(funny(X)&old(X))))&
(![X]:((~rich(X)|wise(X))=>(funny(X)<~>~strong(X))))&
(![X]:((~r... | curious(lucy) | [
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6587878533868175894760045
% SZS output start Proof for 6587878533868175894760045
4. ! [X0] : ((strong(X0) | tall(X0)) <=> humble(X0)) [input p3]
7. ! [X0] : ((wise(X0) | ~rich(X0)) => (tall(X0) <~> humble(X0))) [input p6]
11. (~wise(fred) | ~tall(fred)) <=> (~curious(lucy) & ~generous(luc... | 0 |
Everyone who is either not creative or not generous is not happy. Everyone who is not tall or not generous is both not old and not patient. Everyone who is rich or creative is old or not patient and vice versa. Everyone who is either not old or kind is not creative or not humble and vice versa. If someone is not strong... | John is not old. | entailment | (![X]:((~creative(X)<~>~generous(X))=>~happy(X)))&
(![X]:((~tall(X)|~generous(X))=>(~old(X)&~patient(X))))&
(![X]:((rich(X)|creative(X))<=>(old(X)|~patient(X))))&
(![X]:((~old(X)<~>kind(X))<=>(~creative(X)|~humble(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~old(X)|~creative(X)))))&
((?[X]:((~rich(X)<~>funny(X))))<=>(?[X]:((... | ~old(john) | [
"p3",
"p8",
"p9",
"p11",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1900440083253168431188015
% SZS output start Proof for 1900440083253168431188015
4. ! [X0] : ((~old(X0) <~> kind(X0)) <=> (~humble(X0) | ~creative(X0))) [input p3]
9. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (brave(X0) | humble(X0))) [input p8]
10. ! [X0] : (calm(X0) <=> brave(X0)) [input... | 0 |
Everyone who is either not patient or not funny is not brave or wise and vice versa.
Everyone who is both not tall and not strong is either not wise or not strong and vice versa.
Everyone who is both old and creative is either strong or not wise and vice versa.
If paul is not brave then alice is brave and vice versa.
I... | Mary is quiet. | entailment | (![X]:((~patient(X)<~>~funny(X))<=>(~brave(X)|wise(X))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((creative(X)<~>~funny(X))<=>brave(X)))&
(... | quiet(mary) | [
"p1",
"p2",
"p7",
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2292122553896868896655157
% SZS output start Proof for 2292122553896868896655157
2. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p1]
3. ! [X0] : ((creative(X0) & old(X0)) <=> (strong(X0) <~> ~wise(X0))) [input p2]
8. ! [X0] : ((patient(X0) <~> tall(X0)) <=> ... | 0 |
If someone is not calm or tall then someone is both not curious and old and vice versa. Everyone who is either tall or brave is both not creative and not curious and vice versa. Everyone who is both not curious and patient is patient or not humble. Everyone who is both not generous and old is generous or brave and vice... | Alice is brave. | contradiction | ((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&patient(X))=>(patient(X)|~humble(X))))&
(![X]:((~generous(X)&old(X))<=>(generous(X)|brave(X))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((~patient(X)&tall(X))<=>~creative(X)))&
(((... | brave(alice) | [
"p0",
"p1",
"p3",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 363751796922026374837260
% SZS output start Proof for 363751796922026374837260
1. ? [X0] : (tall(X0) | ~calm(X0)) <=> ? [X0] : (old(X0) & ~curious(X0)) [input p0]
2. ! [X0] : ((tall(X0) <~> brave(X0)) <=> (~curious(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((old(X0) & ~generous(X0)) <=... | 0 |
If someone is both happy and generous then someone is not rich and vice versa.
If paul is not curious then john is both not patient and calm and vice versa.
Everyone who is quiet is both not brave and not funny.
Everyone who is not happy is both generous and brave and vice versa.
If susan is not strong then john is eit... | John is strong. | contradiction | ((?[X]:((happy(X)&generous(X))))<=>(?[X]:(~rich(X))))&
((~curious(paul))<=>((~patient(john)&calm(john))))&
(![X]:(quiet(X)=>(~brave(X)&~funny(X))))&
(![X]:(~happy(X)<=>(generous(X)&brave(X))))&
((~strong(susan))<=>((~old(john)<~>~funny(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(old(X))))&
((?[X]:((~patient(X)&~bra... | strong(john) | [
"p2",
"p3",
"p9",
"p10",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 79109576100528055139331
% SZS output start Proof for 79109576100528055139331
3. ! [X0] : (quiet(X0) => (~funny(X0) & ~brave(X0))) [input p2]
4. ! [X0] : (~happy(X0) <=> (brave(X0) & generous(X0))) [input p3]
10. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> (~patient(X0) <~> ~quiet(X0))) [input ... | 0 |
If lucy is both not generous and humble then someone is both wise and not kind.
If susan is either rich or not old then alice is both not creative and strong and vice versa.
If someone is either wise or humble then mary is either not curious or creative.
If someone is not generous then someone is either not patient or ... | Susan is not tall. | contradiction | (((~generous(lucy)&humble(lucy)))=>(?[X]:((wise(X)&~kind(X)))))&
(((rich(susan)<~>~old(susan)))<=>((~creative(alice)&strong(alice))))&
((?[X]:((wise(X)<~>humble(X))))=>((~curious(mary)<~>creative(mary))))&
((?[X]:(~generous(X)))<=>(?[X]:((~patient(X)<~>~curious(X)))))&
(![X]:((creative(X)|~curious(X))<=>~calm(X)))&
((?... | ~tall(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2260588092616451199926090
% SZS output start Proof for 2260588092616451199926090
11. ! [X0] : ((rich(X0) | ~tall(X0)) <=> tall(X0)) [input p10]
24. ~tall(susan) [input hypothesis]
54. ! [X0] : (((rich(X0) | ~tall(X0)) | ~tall(X0)) & (tall(X0) | (~rich(X0) & tall(X0)))) [nnf transformation... | 0 |
If someone is kind or strong then paul is quiet.
If someone is either not happy or not calm then alice is both tall and not rich and vice versa.
If someone is not calm or not brave then someone is not calm.
If john is both tall and patient then someone is funny or humble and vice versa.
Everyone who is both humble and ... | John is humble. | contradiction | ((?[X]:((kind(X)|strong(X))))=>(quiet(paul)))&
((?[X]:((~happy(X)<~>~calm(X))))<=>((tall(alice)&~rich(alice))))&
((?[X]:((~calm(X)|~brave(X))))=>(?[X]:(~calm(X))))&
(((tall(john)&patient(john)))<=>(?[X]:((funny(X)|humble(X)))))&
(![X]:((humble(X)&calm(X))=>(~curious(X)|humble(X))))&
(![X]:((~strong(X)&~brave(X))<=>(hap... | humble(john) | [
"p3",
"p7",
"p9",
"p13",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6689389511917963935423200
% SZS output start Proof for 6689389511917963935423200
4. (patient(john) & tall(john)) <=> ? [X0] : (humble(X0) | funny(X0)) [input p3]
8. ! [X0] : ((~creative(X0) | humble(X0)) => (humble(X0) <~> ~happy(X0))) [input p7]
10. ! [X0] : ((strong(X0) & tall(X0)) <=> ... | 0 |
Everyone who is calm or creative is not old or not funny.
Everyone who is wise or patient is both not tall and strong and vice versa.
Everyone who is either not tall or patient is generous or tall.
If paul is rich then someone is either quiet or creative.
Everyone who is both not strong and not patient is not humble or... | Mary is creative. | contradiction | (![X]:((calm(X)|creative(X))=>(~old(X)|~funny(X))))&
(![X]:((wise(X)|patient(X))<=>(~tall(X)&strong(X))))&
(![X]:((~tall(X)<~>patient(X))=>(generous(X)|tall(X))))&
((rich(paul))=>(?[X]:((quiet(X)<~>creative(X)))))&
(![X]:((~strong(X)&~patient(X))=>(~humble(X)|calm(X))))&
(![X]:(brave(X)=>(~humble(X)<~>~wise(X))))&
((?[... | creative(mary) | [
"p1",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9184799253676587130935752
% SZS output start Proof for 9184799253676587130935752
2. ! [X0] : ((patient(X0) | wise(X0)) <=> (strong(X0) & ~tall(X0))) [input p1]
10. ! [X0] : ((old(X0) <~> ~patient(X0)) <=> (~old(X0) <~> tall(X0))) [input p9]
11. ! [X0] : ((generous(X0) | rich(X0)) <=> (wis... | 0 |
Everyone who is both quiet and not funny is either curious or not generous and vice versa. Everyone who is both tall and not generous is creative or wise and vice versa. If someone is not generous or not funny then lucy is either not generous or not wise and vice versa. Everyone who is creative is curious or generous a... | John is generous. | contradiction | (![X]:((quiet(X)&~funny(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((tall(X)&~generous(X))<=>(creative(X)|wise(X))))&
((?[X]:((~generous(X)|~funny(X))))<=>((~generous(lucy)<~>~wise(lucy))))&
(![X]:(creative(X)<=>(curious(X)|generous(X))))&
(![X]:((~funny(X)|rich(X))=>(~patient(X)&~calm(X))))&
(![X]:((creative(X)<~>~bra... | generous(john) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2131133619699420449279708
% SZS output start Proof for 2131133619699420449279708
2. ! [X0] : ((~generous(X0) & tall(X0)) <=> (wise(X0) | creative(X0))) [input p1]
4. ! [X0] : (creative(X0) <=> (generous(X0) | curious(X0))) [input p3]
22. generous(john) [input hypothesis]
36. ! [X0] : (((~... | 0 |
Everyone who is either quiet or not funny is both kind and not patient and vice versa.
If mary is rich or not generous then susan is happy and vice versa.
If fred is either happy or not kind then alice is generous.
Everyone who is either not rich or not tall is not creative and vice versa.
Everyone who is both rich and... | John is brave. | entailment | (![X]:((quiet(X)<~>~funny(X))<=>(kind(X)&~patient(X))))&
(((rich(mary)|~generous(mary)))<=>(happy(susan)))&
(((happy(fred)<~>~kind(fred)))=>(generous(alice)))&
(![X]:((~rich(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((rich(X)&humble(X))<=>(~humble(X)|~calm(X))))&
(![X]:(happy(X)=>(~curious(X)|~kind(X))))&
((?[X]:((rich(X)... | brave(john) | [
"p4",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5928546065484678299826569
% SZS output start Proof for 5928546065484678299826569
5. ! [X0] : ((humble(X0) & rich(X0)) <=> (~calm(X0) | ~humble(X0))) [input p4]
15. ! [X0] : ((calm(X0) | wise(X0)) => (~wise(X0) & brave(X0))) [input p14]
17. ~rich(john) [input p16]
24. ~brave(john) [input h... | 0 |
If someone is both tall and not humble then someone is wise or not patient and vice versa. Everyone who is both strong and generous is both humble and not creative and vice versa. Everyone who is either not kind or not brave is not creative. If someone is not curious then mary is not calm or not generous and vice versa... | Paul is not patient. | contradiction | ((?[X]:((tall(X)&~humble(X))))<=>(?[X]:((wise(X)|~patient(X)))))&
(![X]:((strong(X)&generous(X))<=>(humble(X)&~creative(X))))&
(![X]:((~kind(X)<~>~brave(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>((~calm(mary)|~generous(mary))))&
(![X]:((~old(X)<~>curious(X))=>(curious(X)&~tall(X))))&
(![X]:((~creative(X)&strong(X))=... | ~patient(paul) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3940139520691971781147955
% SZS output start Proof for 3940139520691971781147955
1. ? [X0] : (~humble(X0) & tall(X0)) <=> ? [X0] : (~patient(X0) | wise(X0)) [input p0]
2. ! [X0] : ((generous(X0) & strong(X0)) <=> (~creative(X0) & humble(X0))) [input p1]
5. ! [X0] : ((~old(X0) <~> curious(... | 0 |
Everyone who is both not brave and happy is both creative and strong.
Everyone who is both tall and humble is both not patient and strong.
If susan is both not creative and wise then john is both tall and not rich.
Everyone who is both not rich and not strong is either kind or not tall.
Everyone who is both not old and... | John is not creative. | neutral | (![X]:((~brave(X)&happy(X))=>(creative(X)&strong(X))))&
(![X]:((tall(X)&humble(X))=>(~patient(X)&strong(X))))&
(((~creative(susan)&wise(susan)))=>((tall(john)&~rich(john))))&
(![X]:((~rich(X)&~strong(X))=>(kind(X)<~>~tall(X))))&
(![X]:((~old(X)&~generous(X))=>(strong(X)&tall(X))))&
(![X]:(~strong(X)=>~rich(X)))&
(![X]:... | ~creative(john) | [] | null | 0 |
If someone is not tall or not calm then john is either not brave or not patient and vice versa.
Everyone who is not kind is not funny or not quiet and vice versa.
Everyone who is curious is happy.
If someone is either not curious or not strong then someone is rich.
If mary is not quiet then someone is either humble or ... | John is calm. | entailment | ((?[X]:((~tall(X)|~calm(X))))<=>((~brave(john)<~>~patient(john))))&
(![X]:(~kind(X)<=>(~funny(X)|~quiet(X))))&
(![X]:(curious(X)=>happy(X)))&
((?[X]:((~curious(X)<~>~strong(X))))=>(?[X]:(rich(X))))&
((~quiet(mary))=>(?[X]:((humble(X)<~>~wise(X)))))&
((?[X]:((strong(X)<~>patient(X))))=>((~happy(susan)|tall(susan))))&
(!... | calm(john) | [
"p11",
"p12",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3923952287388173482641221
% SZS output start Proof for 3923952287388173482641221
12. ? [X0] : (quiet(X0) | happy(X0)) => patient(john) [input p11]
13. ! [X0] : ((calm(X0) | humble(X0)) <=> calm(X0)) [input p12]
15. ! [X0] : ((humble(X0) <~> calm(X0)) <=> (~patient(X0) <~> ~wise(X0))) [inp... | 0 |
If alice is both not quiet and not humble then someone is both rich and happy and vice versa. Everyone who is happy or not patient is patient or not patient. Everyone who is curious or not funny is both creative and not funny and vice versa. Everyone who is tall is not generous. Everyone who is either creative or not k... | Fred is generous. | contradiction | (((~quiet(alice)&~humble(alice)))<=>(?[X]:((rich(X)&happy(X)))))&
(![X]:((happy(X)|~patient(X))=>(patient(X)|~patient(X))))&
(![X]:((curious(X)|~funny(X))<=>(creative(X)&~funny(X))))&
(![X]:(tall(X)=>~generous(X)))&
(![X]:((creative(X)<~>~kind(X))<=>~old(X)))&
(![X]:((quiet(X)|~strong(X))=>(happy(X)|kind(X))))&
(![X]:(... | generous(fred) | [
"p0",
"p2",
"p3",
"p6",
"p9",
"p10",
"p11",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4194016056279698031877510
% SZS output start Proof for 4194016056279698031877510
1. (~humble(alice) & ~quiet(alice)) <=> ? [X0] : (happy(X0) & rich(X0)) [input p0]
3. ! [X0] : ((~funny(X0) | curious(X0)) <=> (~funny(X0) & creative(X0))) [input p2]
4. ! [X0] : (tall(X0) => ~generous(X0)) [... | 0 |
If john is wise or not calm then someone is both strong and curious.
If someone is either kind or not wise then paul is either patient or happy and vice versa.
Everyone who is curious or not tall is curious or not calm and vice versa.
If someone is not patient or not quiet then someone is calm or not brave.
If someone ... | Susan is wise. | entailment | (((wise(john)|~calm(john)))=>(?[X]:((strong(X)&curious(X)))))&
((?[X]:((kind(X)<~>~wise(X))))<=>((patient(paul)<~>happy(paul))))&
(![X]:((curious(X)|~tall(X))<=>(curious(X)|~calm(X))))&
((?[X]:((~patient(X)|~quiet(X))))=>(?[X]:((calm(X)|~brave(X)))))&
((?[X]:((brave(X)|~creative(X))))<=>(?[X]:((brave(X)|quiet(X)))))&
(... | wise(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7681353877061722760266250
% SZS output start Proof for 7681353877061722760266250
9. ! [X0] : ((curious(X0) & wise(X0)) <=> (~brave(X0) <~> brave(X0))) [input p8]
23. ~wise(susan) [input hypothesis]
60. ! [X0] : (((curious(X0) & wise(X0)) | ((~brave(X0) | ~brave(X0)) & (brave(X0) | brave(X... | 0 |
If mary is not brave or not kind then lucy is not creative. If someone is not kind or kind then lucy is happy or calm. Everyone who is not wise is both kind and not humble. Everyone who is either not curious or not kind is either creative or wise and vice versa. Everyone who is either calm or strong is either not kind ... | Lucy is happy. | neutral | (((~brave(mary)|~kind(mary)))=>(~creative(lucy)))&
((?[X]:((~kind(X)|kind(X))))=>((happy(lucy)|calm(lucy))))&
(![X]:(~wise(X)=>(kind(X)&~humble(X))))&
(![X]:((~curious(X)<~>~kind(X))<=>(creative(X)<~>wise(X))))&
(![X]:((calm(X)<~>strong(X))=>(~kind(X)<~>~wise(X))))&
(((wise(fred)&quiet(fred)))=>(?[X]:((patient(X)&~rich... | happy(lucy) | [] | null | 0 |
Everyone who is not creative or not kind is not brave and vice versa.
Everyone who is both not patient and tall is wise or not rich.
Everyone who is not curious or not funny is not happy or calm.
Everyone who is not generous is either not funny or not calm.
If fred is brave then mary is not rich.
Everyone who is both n... | John is not funny. | entailment | (![X]:((~creative(X)|~kind(X))<=>~brave(X)))&
(![X]:((~patient(X)&tall(X))=>(wise(X)|~rich(X))))&
(![X]:((~curious(X)|~funny(X))=>(~happy(X)|calm(X))))&
(![X]:(~generous(X)=>(~funny(X)<~>~calm(X))))&
((brave(fred))=>(~rich(mary)))&
(![X]:((~humble(X)&~strong(X))<=>(wise(X)&~happy(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~wi... | ~funny(john) | [
"p11",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1024956752429187661648616
% SZS output start Proof for 1024956752429187661648616
12. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (happy(X0) | ~calm(X0))) [input p11]
17. quiet(john) <~> ~funny(john) [input p16]
23. kind(john) & ~happy(john) [input p22]
24. funny(john) [input hypothesis]
54. !... | 0 |
If someone is either not rich or kind then paul is humble.
Everyone who is either not tall or old is generous.
If fred is curious or humble then susan is either not wise or brave.
If alice is both wise and not brave then alice is either generous or quiet and vice versa.
If alice is either not quiet or not brave then so... | Paul is not brave. | contradiction | ((?[X]:((~rich(X)<~>kind(X))))=>(humble(paul)))&
(![X]:((~tall(X)<~>old(X))=>generous(X)))&
(((curious(fred)|humble(fred)))=>((~wise(susan)<~>brave(susan))))&
(((wise(alice)&~brave(alice)))<=>((generous(alice)<~>quiet(alice))))&
(((~quiet(alice)<~>~brave(alice)))=>(?[X]:((~tall(X)<~>curious(X)))))&
(![X]:((~humble(X)<~... | ~brave(paul) | [
"p0",
"p7",
"p11",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5195699142097423923488797
% SZS output start Proof for 5195699142097423923488797
1. ? [X0] : (~rich(X0) <~> kind(X0)) => humble(paul) [input p0]
8. ! [X0] : (~kind(X0) => (strong(X0) & wise(X0))) [input p7]
12. ! [X0] : ((humble(X0) <~> ~quiet(X0)) => brave(X0)) [input p11]
13. ! [X0] : (... | 0 |
If mary is either not strong or not kind then someone is both not patient and humble and vice versa.
Everyone who is both creative and not generous is not quiet or curious.
Everyone who is funny or not happy is funny or not kind.
Everyone who is either not old or not strong is creative or not kind.
Everyone who is eith... | Susan is not old. | contradiction | (((~strong(mary)<~>~kind(mary)))<=>(?[X]:((~patient(X)&humble(X)))))&
(![X]:((creative(X)&~generous(X))=>(~quiet(X)|curious(X))))&
(![X]:((funny(X)|~happy(X))=>(funny(X)|~kind(X))))&
(![X]:((~old(X)<~>~strong(X))=>(creative(X)|~kind(X))))&
(![X]:((kind(X)<~>brave(X))=>(calm(X)|~old(X))))&
((?[X]:((~curious(X)<~>tall(X)... | ~old(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8920174356494316096874031
% SZS output start Proof for 8920174356494316096874031
16. ! [X0] : ((~quiet(X0) | ~old(X0)) => (~tall(X0) & old(X0))) [input p15]
25. ~old(susan) [input hypothesis]
42. ! [X0] : ((~tall(X0) & old(X0)) | (quiet(X0) & old(X0))) [ennf transformation 16]
117. old(X0... | 0 |
Everyone who is not humble or not wise is both calm and humble and vice versa.
Everyone who is not happy is both patient and not curious.
Everyone who is not old is both generous and not brave and vice versa.
Everyone who is old or not funny is either old or calm.
Everyone who is either rich or not tall is either patie... | John is strong. | entailment | (![X]:((~humble(X)|~wise(X))<=>(calm(X)&humble(X))))&
(![X]:(~happy(X)=>(patient(X)&~curious(X))))&
(![X]:(~old(X)<=>(generous(X)&~brave(X))))&
(![X]:((old(X)|~funny(X))=>(old(X)<~>calm(X))))&
(![X]:((rich(X)<~>~tall(X))<=>(patient(X)<~>~brave(X))))&
(![X]:((funny(X)&rich(X))<=>(~calm(X)&~generous(X))))&
(![X]:((~calm(... | strong(john) | [
"p3",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8904665944732906083814498
% SZS output start Proof for 8904665944732906083814498
4. ! [X0] : ((~funny(X0) | old(X0)) => (old(X0) <~> calm(X0))) [input p3]
7. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~calm(X0) <~> calm(X0))) [input p6]
13. ! [X0] : ((old(X0) & ~strong(X0)) => (~strong(X0) ... | 0 |
If lucy is not rich or not humble then paul is quiet or not tall.
Everyone who is both curious and wise is both not rich and not funny and vice versa.
Everyone who is creative or not happy is strong.
Everyone who is both not rich and wise is happy and vice versa.
If someone is both not humble and not wise then someone ... | Alice is funny. | entailment | (((~rich(lucy)|~humble(lucy)))=>((quiet(paul)|~tall(paul))))&
(![X]:((curious(X)&wise(X))<=>(~rich(X)&~funny(X))))&
(![X]:((creative(X)|~happy(X))=>strong(X)))&
(![X]:((~rich(X)&wise(X))<=>happy(X)))&
((?[X]:((~humble(X)&~wise(X))))=>(?[X]:(~calm(X))))&
((?[X]:((~kind(X)|~patient(X))))<=>(?[X]:((brave(X)|~curious(X))))... | funny(alice) | [
"p1",
"p3",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 25110589211372935885295
% SZS output start Proof for 25110589211372935885295
2. ! [X0] : ((wise(X0) & curious(X0)) <=> (~funny(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((wise(X0) & ~rich(X0)) <=> happy(X0)) [input p3]
9. ! [X0] : (~patient(X0) <=> (patient(X0) & ~curious(X0))) [input p8]
... | 0 |
Everyone who is wise is both not quiet and not wise and vice versa. If someone is brave or kind then john is either not patient or not quiet and vice versa. Everyone who is not creative is both not funny and not old and vice versa. If mary is not old then someone is both not strong and patient. Everyone who is not crea... | Mary is humble. | neutral | (![X]:(wise(X)<=>(~quiet(X)&~wise(X))))&
((?[X]:((brave(X)|kind(X))))<=>((~patient(john)<~>~quiet(john))))&
(![X]:(~creative(X)<=>(~funny(X)&~old(X))))&
((~old(mary))=>(?[X]:((~strong(X)&patient(X)))))&
(![X]:((~creative(X)|happy(X))<=>(tall(X)<~>~quiet(X))))&
((?[X]:((~funny(X)&old(X))))=>(?[X]:((~brave(X)|~kind(X))))... | humble(mary) | [] | null | 0 |
If someone is strong then susan is not patient and vice versa. If someone is either happy or not kind then someone is both not happy and not brave and vice versa. Everyone who is not generous is not calm or not happy and vice versa. Everyone who is either quiet or not funny is both happy and quiet and vice versa. If so... | Alice is strong. | contradiction | ((?[X]:(strong(X)))<=>(~patient(susan)))&
((?[X]:((happy(X)<~>~kind(X))))<=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(~generous(X)<=>(~calm(X)|~happy(X))))&
(![X]:((quiet(X)<~>~funny(X))<=>(happy(X)&quiet(X))))&
((?[X]:((generous(X)<~>~creative(X))))<=>(humble(paul)))&
(![X]:((~rich(X)&~brave(X))=>(~brave(X)&~curious(X))... | strong(alice) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4987619829813202770949727
% SZS output start Proof for 4987619829813202770949727
1. ? [X0] : strong(X0) <=> ~patient(susan) [input p0]
12. ! [X0] : (patient(X0) <=> (~funny(X0) | ~patient(X0))) [input p11]
21. strong(alice) [input hypothesis]
30. (? [X0] : strong(X0) | patient(susan)) & (... | 0 |
Everyone who is both old and strong is not creative or creative.
If someone is both not brave and curious then someone is either not happy or creative and vice versa.
Everyone who is both funny and kind is not strong.
Everyone who is tall or calm is both not calm and creative and vice versa.
If john is not kind or not ... | Lucy is curious. | contradiction | (![X]:((old(X)&strong(X))=>(~creative(X)|creative(X))))&
((?[X]:((~brave(X)&curious(X))))<=>(?[X]:((~happy(X)<~>creative(X)))))&
(![X]:((funny(X)&kind(X))=>~strong(X)))&
(![X]:((tall(X)|calm(X))<=>(~calm(X)&creative(X))))&
(((~kind(john)|~patient(john)))<=>((humble(lucy)&creative(lucy))))&
(![X]:((happy(X)|~funny(X))<=... | curious(lucy) | [
"p1",
"p2",
"p5",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1612966990753846077854458
% SZS output start Proof for 1612966990753846077854458
2. ? [X0] : (curious(X0) & ~brave(X0)) <=> ? [X0] : (~happy(X0) <~> creative(X0)) [input p1]
3. ! [X0] : ((kind(X0) & funny(X0)) => ~strong(X0)) [input p2]
6. ! [X0] : ((~funny(X0) | happy(X0)) <=> (~happy(X0... | 0 |
Everyone who is brave or quiet is either not brave or not strong and vice versa.
If someone is both not kind and curious then someone is both not happy and quiet and vice versa.
If susan is either old or strong then mary is not happy or quiet.
Everyone who is both not curious and not calm is either not tall or not quie... | Paul is humble. | neutral | (![X]:((brave(X)|quiet(X))<=>(~brave(X)<~>~strong(X))))&
((?[X]:((~kind(X)&curious(X))))<=>(?[X]:((~happy(X)&quiet(X)))))&
(((old(susan)<~>strong(susan)))=>((~happy(mary)|quiet(mary))))&
(![X]:((~curious(X)&~calm(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:(wise(X)<=>generous(X)))&
((?[X]:((humble(X)&~strong(X))))<=>(~old(fre... | humble(paul) | [] | null | 0 |
If fred is both not quiet and rich then someone is not patient or not strong and vice versa.
If lucy is curious then susan is both humble and not calm.
Everyone who is both quiet and not rich is calm and vice versa.
If susan is either not strong or wise then someone is either not happy or old and vice versa.
Everyone w... | Paul is not happy. | contradiction | (((~quiet(fred)&rich(fred)))<=>(?[X]:((~patient(X)|~strong(X)))))&
((curious(lucy))=>((humble(susan)&~calm(susan))))&
(![X]:((quiet(X)&~rich(X))<=>calm(X)))&
(((~strong(susan)<~>wise(susan)))<=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((calm(X)&curious(X))=>(kind(X)|curious(X))))&
((?[X]:(old(X)))<=>((humble(fred)<~>quiet... | ~happy(paul) | [
"p6",
"p7",
"p10",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 461521570745752603353039
% SZS output start Proof for 461521570745752603353039
7. ! [X0] : ((kind(X0) & brave(X0)) <=> (strong(X0) | ~calm(X0))) [input p6]
8. ! [X0] : (brave(X0) => (wise(X0) <~> humble(X0))) [input p7]
11. ! [X0] : ((patient(X0) <~> ~humble(X0)) => ~patient(X0)) [input p... | 0 |
If john is either humble or not calm then someone is not generous or not patient. Everyone who is either calm or patient is both not strong and curious. If susan is either not generous or rich then someone is both curious and not strong and vice versa. Everyone who is either kind or funny is not calm or old and vice ve... | Mary is not kind. | contradiction | (((humble(john)<~>~calm(john)))=>(?[X]:((~generous(X)|~patient(X)))))&
(![X]:((calm(X)<~>patient(X))=>(~strong(X)&curious(X))))&
(((~generous(susan)<~>rich(susan)))<=>(?[X]:((curious(X)&~strong(X)))))&
(![X]:((kind(X)<~>funny(X))<=>(~calm(X)|old(X))))&
(![X]:((humble(X)&~curious(X))<=>(curious(X)&quiet(X))))&
((?[X]:((... | ~kind(mary) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 877721487443455099041517
% SZS output start Proof for 877721487443455099041517
13. ! [X0] : ((~humble(X0) | ~kind(X0)) <=> (~strong(X0) & ~generous(X0))) [input p12]
16. ? [X0] : (~strong(X0) | patient(X0)) => ? [X0] : (~kind(X0) & generous(X0)) [input p15]
24. ~kind(mary) [input hypothes... | 0 |
If someone is not brave then john is not calm or not patient. If someone is not generous or not kind then alice is generous. Everyone who is funny or brave is not rich and vice versa. Everyone who is not humble is either not brave or tall and vice versa. If lucy is not happy then fred is not humble or tall. Everyone wh... | Fred is not rich. | neutral | ((?[X]:(~brave(X)))=>((~calm(john)|~patient(john))))&
((?[X]:((~generous(X)|~kind(X))))=>(generous(alice)))&
(![X]:((funny(X)|brave(X))<=>~rich(X)))&
(![X]:(~humble(X)<=>(~brave(X)<~>tall(X))))&
((~happy(lucy))=>((~humble(fred)|tall(fred))))&
(![X]:((humble(X)&~creative(X))=>(strong(X)&brave(X))))&
(((~happy(lucy)&~cre... | ~rich(fred) | [] | null | 0 |
If someone is happy then mary is patient.
If alice is both not quiet and brave then someone is not kind or not wise and vice versa.
Everyone who is either not strong or not funny is patient or not generous.
Everyone who is both not calm and not funny is not quiet or funny.
Everyone who is either kind or tall is wise or... | John is not quiet. | neutral | ((?[X]:(happy(X)))=>(patient(mary)))&
(((~quiet(alice)&brave(alice)))<=>(?[X]:((~kind(X)|~wise(X)))))&
(![X]:((~strong(X)<~>~funny(X))=>(patient(X)|~generous(X))))&
(![X]:((~calm(X)&~funny(X))=>(~quiet(X)|funny(X))))&
(![X]:((kind(X)<~>tall(X))<=>(wise(X)|~calm(X))))&
(![X]:((quiet(X)&~tall(X))<=>(~curious(X)<~>quiet(X... | ~quiet(john) | [] | null | 0 |
Everyone who is not tall or not curious is not wise and vice versa. If mary is either not patient or not calm then lucy is not kind. Everyone who is not humble is either wise or tall and vice versa. If susan is either creative or not curious then someone is patient or not kind. Everyone who is both patient and not happ... | Susan is not generous. | entailment | (![X]:((~tall(X)|~curious(X))<=>~wise(X)))&
(((~patient(mary)<~>~calm(mary)))=>(~kind(lucy)))&
(![X]:(~humble(X)<=>(wise(X)<~>tall(X))))&
(((creative(susan)<~>~curious(susan)))=>(?[X]:((patient(X)|~kind(X)))))&
(![X]:((patient(X)&~happy(X))<=>quiet(X)))&
((?[X]:((strong(X)<~>quiet(X))))=>(?[X]:(wise(X))))&
(![X]:((old(... | ~generous(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8001927573485037778248587
% SZS output start Proof for 8001927573485037778248587
8. ! [X0] : (~generous(X0) <=> (generous(X0) | humble(X0))) [input p7]
25. generous(susan) [input hypothesis]
53. ! [X0] : ((~generous(X0) | (~generous(X0) & ~humble(X0))) & ((generous(X0) | humble(X0)) | gen... | 0 |
If susan is calm or wise then someone is both not rich and not generous.
If alice is not quiet then mary is not funny or not quiet.
Everyone who is either not kind or curious is either tall or not humble and vice versa.
If someone is tall then someone is not brave or not wise.
If john is humble or not rich then lucy is... | Alice is curious. | neutral | (((calm(susan)|wise(susan)))=>(?[X]:((~rich(X)&~generous(X)))))&
((~quiet(alice))=>((~funny(mary)|~quiet(mary))))&
(![X]:((~kind(X)<~>curious(X))<=>(tall(X)<~>~humble(X))))&
((?[X]:(tall(X)))=>(?[X]:((~brave(X)|~wise(X)))))&
(((humble(john)|~rich(john)))<=>((~old(lucy)&wise(lucy))))&
(![X]:((tall(X)|creative(X))<=>(~cu... | curious(alice) | [] | null | 0 |
Everyone who is both strong and patient is not humble or kind and vice versa.
If john is not tall then john is either not quiet or wise.
If susan is tall or not happy then someone is both not curious and not old.
If someone is tall or not calm then someone is not quiet and vice versa.
Everyone who is either strong or n... | Fred is curious. | entailment | (![X]:((strong(X)&patient(X))<=>(~humble(X)|kind(X))))&
((~tall(john))=>((~quiet(john)<~>wise(john))))&
(((tall(susan)|~happy(susan)))=>(?[X]:((~curious(X)&~old(X)))))&
((?[X]:((tall(X)|~calm(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((strong(X)<~>~strong(X))<=>(wise(X)&happy(X))))&
(![X]:((humble(X)|generous(X))=>strong(X)))... | curious(fred) | [
"p0",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4674205676536521790559610
% SZS output start Proof for 4674205676536521790559610
1. ! [X0] : ((patient(X0) & strong(X0)) <=> (kind(X0) | ~humble(X0))) [input p0]
6. ! [X0] : ((generous(X0) | humble(X0)) => strong(X0)) [input p5]
9. ! [X0] : (strong(X0) <=> curious(X0)) [input p8]
23. ~cur... | 0 |
If fred is either curious or not creative then john is not creative or tall.
If lucy is both not wise and wise then someone is not rich.
Everyone who is not curious is quiet and vice versa.
Everyone who is both not quiet and happy is funny and vice versa.
If mary is brave or rich then someone is both old and curious.
E... | Lucy is calm. | entailment | (((curious(fred)<~>~creative(fred)))=>((~creative(john)|tall(john))))&
(((~wise(lucy)&wise(lucy)))=>(?[X]:(~rich(X))))&
(![X]:(~curious(X)<=>quiet(X)))&
(![X]:((~quiet(X)&happy(X))<=>funny(X)))&
(((brave(mary)|rich(mary)))=>(?[X]:((old(X)&curious(X)))))&
(![X]:((~kind(X)&~rich(X))<=>(quiet(X)|curious(X))))&
(![X]:(brav... | calm(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6179914764081153500286291
% SZS output start Proof for 6179914764081153500286291
21. calm(lucy) & ~funny(lucy) [input p20]
24. ~calm(lucy) [input hypothesis]
137. calm(lucy) [cnf transformation 21]
140. ~calm(lucy) [cnf transformation 24]
314. $false [subsumption resolution 140,137]
% SZS... | 0 |
Everyone who is either not quiet or brave is either not curious or generous. If someone is not old or not wise then fred is not humble and vice versa. Everyone who is not humble or creative is not wise or calm and vice versa. Everyone who is not rich or rich is creative or wise. If someone is wise then someone is happy... | Susan is brave. | contradiction | (![X]:((~quiet(X)<~>brave(X))=>(~curious(X)<~>generous(X))))&
((?[X]:((~old(X)|~wise(X))))<=>(~humble(fred)))&
(![X]:((~humble(X)|creative(X))<=>(~wise(X)|calm(X))))&
(![X]:((~rich(X)|rich(X))=>(creative(X)|wise(X))))&
((?[X]:(wise(X)))=>(?[X]:(happy(X))))&
(![X]:(~strong(X)<=>(patient(X)&~creative(X))))&
(![X]:((wise(... | brave(susan) | [
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 606847964273488108898813
% SZS output start Proof for 606847964273488108898813
12. ! [X0] : (wise(X0) <=> (~wise(X0) | happy(X0))) [input p11]
15. ! [X0] : ((~brave(X0) <~> wise(X0)) <=> (~brave(X0) & ~funny(X0))) [input p14]
24. brave(susan) [input hypothesis]
56. ! [X0] : ((wise(X0) | (... | 0 |
If someone is either quiet or brave then someone is both curious and wise and vice versa.
Everyone who is not creative or humble is both strong and not tall and vice versa.
Everyone who is either not strong or brave is curious or generous and vice versa.
If susan is patient or quiet then john is either not humble or no... | John is not quiet. | entailment | ((?[X]:((quiet(X)<~>brave(X))))<=>(?[X]:((curious(X)&wise(X)))))&
(![X]:((~creative(X)|humble(X))<=>(strong(X)&~tall(X))))&
(![X]:((~strong(X)<~>brave(X))<=>(curious(X)|generous(X))))&
(((patient(susan)|quiet(susan)))=>((~humble(john)<~>~happy(john))))&
(![X]:((~creative(X)|quiet(X))=>(curious(X)&~creative(X))))&
(![X]... | ~quiet(john) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 385280363410342261478631
% SZS output start Proof for 385280363410342261478631
2. ! [X0] : ((humble(X0) | ~creative(X0)) <=> (~tall(X0) & strong(X0))) [input p1]
3. ! [X0] : ((~strong(X0) <~> brave(X0)) <=> (generous(X0) | curious(X0))) [input p2]
4. (quiet(susan) | patient(susan)) => (~h... | 0 |
Everyone who is both curious and not quiet is not creative or not calm. Everyone who is not rich is both funny and wise. Everyone who is either funny or tall is strong or not generous and vice versa. Everyone who is both generous and not calm is kind. If paul is brave then alice is kind. Everyone who is either happy or... | Alice is humble. | neutral | (![X]:((curious(X)&~quiet(X))=>(~creative(X)|~calm(X))))&
(![X]:(~rich(X)=>(funny(X)&wise(X))))&
(![X]:((funny(X)<~>tall(X))<=>(strong(X)|~generous(X))))&
(![X]:((generous(X)&~calm(X))=>kind(X)))&
((brave(paul))=>(kind(alice)))&
(![X]:((happy(X)<~>kind(X))<=>(~curious(X)&wise(X))))&
(![X]:((generous(X)|funny(X))=>(rich... | humble(alice) | [] | null | 0 |
If fred is either happy or not old then alice is either not curious or wise and vice versa.
If paul is humble then someone is either old or not kind.
If someone is kind or generous then someone is either not humble or curious and vice versa.
If lucy is either wise or old then someone is not kind and vice versa.
If some... | Lucy is creative. | neutral | (((happy(fred)<~>~old(fred)))<=>((~curious(alice)<~>wise(alice))))&
((humble(paul))=>(?[X]:((old(X)<~>~kind(X)))))&
((?[X]:((kind(X)|generous(X))))<=>(?[X]:((~humble(X)<~>curious(X)))))&
(((wise(lucy)<~>old(lucy)))<=>(?[X]:(~kind(X))))&
((?[X]:(~strong(X)))<=>(old(paul)))&
(![X]:((generous(X)|patient(X))<=>(~kind(X)<~>... | creative(lucy) | [] | null | 0 |
Everyone who is either calm or not calm is tall and vice versa.
Everyone who is not quiet or not tall is either happy or brave.
If john is both tall and not curious then mary is not strong.
Everyone who is not strong or creative is not happy or not funny and vice versa.
Everyone who is either funny or brave is both not... | Susan is not happy. | neutral | (![X]:((calm(X)<~>~calm(X))<=>tall(X)))&
(![X]:((~quiet(X)|~tall(X))=>(happy(X)<~>brave(X))))&
(((tall(john)&~curious(john)))=>(~strong(mary)))&
(![X]:((~strong(X)|creative(X))<=>(~happy(X)|~funny(X))))&
(![X]:((funny(X)<~>brave(X))<=>(~creative(X)&~strong(X))))&
(((~humble(fred)<~>~rich(fred)))<=>(?[X]:((~old(X)<~>hap... | ~happy(susan) | [] | null | 0 |
If someone is both funny and not quiet then someone is not funny or quiet.
Everyone who is either not humble or not rich is calm and vice versa.
Everyone who is either humble or calm is either strong or rich.
Everyone who is not happy is either not happy or not humble and vice versa.
Everyone who is both not humble and... | Paul is brave. | neutral | ((?[X]:((funny(X)&~quiet(X))))=>(?[X]:((~funny(X)|quiet(X)))))&
(![X]:((~humble(X)<~>~rich(X))<=>calm(X)))&
(![X]:((humble(X)<~>calm(X))=>(strong(X)<~>rich(X))))&
(![X]:(~happy(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((~humble(X)&kind(X))<=>(~humble(X)&quiet(X))))&
(((humble(fred)<~>curious(fred)))=>(?[X]:((~humble(X)&~... | brave(paul) | [] | null | 0 |
If mary is generous then someone is humble or tall and vice versa.
Everyone who is both not generous and brave is both calm and old.
If alice is either not calm or strong then lucy is not curious.
Everyone who is quiet or not funny is patient or not humble and vice versa.
Everyone who is both happy and calm is wise or ... | Alice is not brave. | neutral | ((generous(mary))<=>(?[X]:((humble(X)|tall(X)))))&
(![X]:((~generous(X)&brave(X))=>(calm(X)&old(X))))&
(((~calm(alice)<~>strong(alice)))=>(~curious(lucy)))&
(![X]:((quiet(X)|~funny(X))<=>(patient(X)|~humble(X))))&
(![X]:((happy(X)&calm(X))<=>(wise(X)|~brave(X))))&
(((happy(lucy)&~old(lucy)))=>(?[X]:((~wise(X)&~strong(X... | ~brave(alice) | [] | null | 0 |
If someone is funny or patient then someone is not calm.
Everyone who is not tall is not kind or not brave and vice versa.
Everyone who is not generous or tall is either not generous or brave and vice versa.
Everyone who is either old or rich is both wise and not brave and vice versa.
Everyone who is not calm or not ha... | Lucy is not generous. | neutral | ((?[X]:((funny(X)|patient(X))))=>(?[X]:(~calm(X))))&
(![X]:(~tall(X)<=>(~kind(X)|~brave(X))))&
(![X]:((~generous(X)|tall(X))<=>(~generous(X)<~>brave(X))))&
(![X]:((old(X)<~>rich(X))<=>(wise(X)&~brave(X))))&
(![X]:((~calm(X)|~happy(X))=>(~patient(X)&~kind(X))))&
(![X]:((rich(X)|~curious(X))=>rich(X)))&
(![X]:((quiet(X)<... | ~generous(lucy) | [] | null | 0 |
If alice is either wise or brave then paul is both rich and not old.
Everyone who is not creative is not calm or not brave and vice versa.
Everyone who is happy is both curious and not strong.
Everyone who is not quiet or not humble is not patient or tall.
Everyone who is humble is either not creative or not tall and v... | Paul is not wise. | neutral | (((wise(alice)<~>brave(alice)))=>((rich(paul)&~old(paul))))&
(![X]:(~creative(X)<=>(~calm(X)|~brave(X))))&
(![X]:(happy(X)=>(curious(X)&~strong(X))))&
(![X]:((~quiet(X)|~humble(X))=>(~patient(X)|tall(X))))&
(![X]:(humble(X)<=>(~creative(X)<~>~tall(X))))&
(![X]:((~wise(X)&old(X))<=>(brave(X)&old(X))))&
((?[X]:((happy(X)... | ~wise(paul) | [] | null | 0 |
If paul is humble or not calm then susan is either not old or curious.
Everyone who is not humble is either calm or not rich and vice versa.
Everyone who is humble or wise is either not brave or rich and vice versa.
If lucy is both old and patient then someone is either quiet or rich and vice versa.
If john is both cur... | Susan is strong. | neutral | (((humble(paul)|~calm(paul)))=>((~old(susan)<~>curious(susan))))&
(![X]:(~humble(X)<=>(calm(X)<~>~rich(X))))&
(![X]:((humble(X)|wise(X))<=>(~brave(X)<~>rich(X))))&
(((old(lucy)&patient(lucy)))<=>(?[X]:((quiet(X)<~>rich(X)))))&
(((curious(john)&~wise(john)))<=>((creative(paul)<~>~tall(paul))))&
(![X]:((~rich(X)|~generou... | strong(susan) | [] | null | 0 |
Everyone who is not happy or not creative is not curious or not strong and vice versa. If lucy is either happy or not brave then lucy is either not kind or generous and vice versa. Everyone who is old is both strong and kind and vice versa. Everyone who is both not strong and tall is patient or not strong and vice vers... | Lucy is not wise. | entailment | (![X]:((~happy(X)|~creative(X))<=>(~curious(X)|~strong(X))))&
(((happy(lucy)<~>~brave(lucy)))<=>((~kind(lucy)<~>generous(lucy))))&
(![X]:(old(X)<=>(strong(X)&kind(X))))&
(![X]:((~strong(X)&tall(X))<=>(patient(X)|~strong(X))))&
((?[X]:(strong(X)))=>((~quiet(mary)&curious(mary))))&
(((funny(paul)&~brave(paul)))=>((~creat... | ~wise(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5352247694277409035981446
% SZS output start Proof for 5352247694277409035981446
1. ! [X0] : ((~creative(X0) | ~happy(X0)) <=> (~strong(X0) | ~curious(X0))) [input p0]
3. ! [X0] : (old(X0) <=> (kind(X0) & strong(X0))) [input p2]
4. ! [X0] : ((tall(X0) & ~strong(X0)) <=> (~strong(X0) | pat... | 0 |
Everyone who is both not quiet and strong is either not curious or curious and vice versa.
If someone is not wise or not calm then someone is both not funny and not kind.
Everyone who is not rich or not generous is both humble and patient.
Everyone who is either humble or not quiet is old or not curious and vice versa.... | Mary is not kind. | entailment | (![X]:((~quiet(X)&strong(X))<=>(~curious(X)<~>curious(X))))&
((?[X]:((~wise(X)|~calm(X))))=>(?[X]:((~funny(X)&~kind(X)))))&
(![X]:((~rich(X)|~generous(X))=>(humble(X)&patient(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>(old(X)|~curious(X))))&
((creative(mary))<=>(?[X]:((old(X)<~>~tall(X)))))&
(![X]:((wise(X)<~>~kind(X))<=>... | ~kind(mary) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6957468503347556778268951
% SZS output start Proof for 6957468503347556778268951
1. ! [X0] : ((strong(X0) & ~quiet(X0)) <=> (~curious(X0) <~> curious(X0))) [input p0]
3. ! [X0] : ((~generous(X0) | ~rich(X0)) => (patient(X0) & humble(X0))) [input p2]
4. ! [X0] : ((humble(X0) <~> ~quiet(X0)... | 0 |
If someone is humble then someone is both not quiet and humble and vice versa. Everyone who is brave or strong is both rich and kind. If someone is not tall or not patient then someone is both not creative and not kind. If lucy is both not funny and old then susan is either curious or not humble and vice versa. Everyon... | Fred is not wise. | entailment | ((?[X]:(humble(X)))<=>(?[X]:((~quiet(X)&humble(X)))))&
(![X]:((brave(X)|strong(X))=>(rich(X)&kind(X))))&
((?[X]:((~tall(X)|~patient(X))))=>(?[X]:((~creative(X)&~kind(X)))))&
(((~funny(lucy)&old(lucy)))<=>((curious(susan)<~>~humble(susan))))&
(![X]:((humble(X)&tall(X))=>(tall(X)|creative(X))))&
(![X]:((funny(X)&curious(... | ~wise(fred) | [
"p5",
"p8",
"p13",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2426045370090775265371535
% SZS output start Proof for 2426045370090775265371535
6. ! [X0] : ((curious(X0) & funny(X0)) => (~rich(X0) <~> ~kind(X0))) [input p5]
9. ! [X0] : ((~strong(X0) & curious(X0)) <=> (~happy(X0) | ~kind(X0))) [input p8]
14. ! [X0] : ((quiet(X0) | wise(X0)) <=> (~kin... | 0 |
Everyone who is either curious or not rich is either not creative or not humble. Everyone who is patient or not humble is both kind and funny. Everyone who is either quiet or not happy is tall. If someone is kind or not creative then mary is both funny and happy and vice versa. If someone is tall or creative then lucy ... | Mary is not curious. | entailment | (![X]:((curious(X)<~>~rich(X))=>(~creative(X)<~>~humble(X))))&
(![X]:((patient(X)|~humble(X))=>(kind(X)&funny(X))))&
(![X]:((quiet(X)<~>~happy(X))=>tall(X)))&
((?[X]:((kind(X)|~creative(X))))<=>((funny(mary)&happy(mary))))&
((?[X]:((tall(X)|creative(X))))<=>(creative(lucy)))&
((?[X]:((humble(X)<~>~strong(X))))<=>(?[X]:... | ~curious(mary) | [
"p3",
"p7",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 841500713415074942819329
% SZS output start Proof for 841500713415074942819329
4. ? [X0] : (~creative(X0) | kind(X0)) <=> (happy(mary) & funny(mary)) [input p3]
8. ! [X0] : ((kind(X0) | ~creative(X0)) => (happy(X0) & ~curious(X0))) [input p7]
11. ! [X0] : ((~kind(X0) | ~strong(X0)) => (ta... | 0 |
Everyone who is both funny and not wise is both brave and old. If someone is old then alice is quiet. If fred is creative or wise then fred is either curious or tall and vice versa. Everyone who is both not tall and not calm is either not generous or not strong. Everyone who is not calm or not creative is both not calm... | Lucy is not strong. | entailment | (![X]:((funny(X)&~wise(X))=>(brave(X)&old(X))))&
((?[X]:(old(X)))=>(quiet(alice)))&
(((creative(fred)|wise(fred)))<=>((curious(fred)<~>tall(fred))))&
(![X]:((~tall(X)&~calm(X))=>(~generous(X)<~>~strong(X))))&
(![X]:((~calm(X)|~creative(X))<=>(~calm(X)&humble(X))))&
(![X]:((curious(X)|~tall(X))<=>wise(X)))&
((?[X]:((~pa... | ~strong(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8620724903009368870118157
% SZS output start Proof for 8620724903009368870118157
11. ! [X0] : ((~strong(X0) <~> brave(X0)) <=> ~brave(X0)) [input p10]
25. strong(lucy) [input hypothesis]
52. ! [X0] : ((((~brave(X0) | strong(X0)) & (brave(X0) | ~strong(X0))) | brave(X0)) & (~brave(X0) | ((... | 0 |
If fred is creative or old then mary is not kind. Everyone who is not curious is both quiet and not happy and vice versa. Everyone who is either not calm or brave is either creative or wise. Everyone who is either creative or not calm is patient and vice versa. If fred is happy or wise then paul is patient or generous ... | Susan is not generous. | entailment | (((creative(fred)|old(fred)))=>(~kind(mary)))&
(![X]:(~curious(X)<=>(quiet(X)&~happy(X))))&
(![X]:((~calm(X)<~>brave(X))=>(creative(X)<~>wise(X))))&
(![X]:((creative(X)<~>~calm(X))<=>patient(X)))&
(((happy(fred)|wise(fred)))<=>((patient(paul)|generous(paul))))&
((~happy(mary))=>(?[X]:((brave(X)<~>~quiet(X)))))&
((?[X]:... | ~generous(susan) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 78788778521702761596855
% SZS output start Proof for 78788778521702761596855
24. ~generous(susan) & ~tall(susan) [input p23]
25. generous(susan) [input hypothesis]
28. ~generous(susan) [pure predicate removal 24]
131. ~generous(susan) [cnf transformation 28]
132. generous(susan) [cnf tran... | 0 |
Everyone who is both not quiet and not kind is not tall. Everyone who is patient is old or quiet and vice versa. If alice is either kind or not brave then someone is either funny or not generous and vice versa. If susan is not strong then mary is old. If susan is not wise then someone is calm and vice versa. Everyone w... | Fred is not tall. | entailment | (![X]:((~quiet(X)&~kind(X))=>~tall(X)))&
(![X]:(patient(X)<=>(old(X)|quiet(X))))&
(((kind(alice)<~>~brave(alice)))<=>(?[X]:((funny(X)<~>~generous(X)))))&
((~strong(susan))=>(old(mary)))&
((~wise(susan))<=>(?[X]:(calm(X))))&
(![X]:(~wise(X)=>strong(X)))&
(![X]:((~tall(X)|happy(X))<=>curious(X)))&
((?[X]:((~calm(X)&~pati... | ~tall(fred) | [
"p0",
"p5",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 885459578488981052135187
% SZS output start Proof for 885459578488981052135187
1. ! [X0] : ((~kind(X0) & ~quiet(X0)) => ~tall(X0)) [input p0]
6. ! [X0] : (~wise(X0) => strong(X0)) [input p5]
13. ! [X0] : (~creative(X0) <=> (~creative(X0) <~> quiet(X0))) [input p12]
16. ! [X0] : ((quiet(X0... | 0 |
Everyone who is either curious or wise is patient or not quiet.
Everyone who is either not old or not generous is kind.
If someone is funny then john is either creative or not strong.
If john is either wise or not curious then alice is both old and kind and vice versa.
If someone is creative then john is not patient.
E... | Mary is not brave. | contradiction | (![X]:((curious(X)<~>wise(X))=>(patient(X)|~quiet(X))))&
(![X]:((~old(X)<~>~generous(X))=>kind(X)))&
((?[X]:(funny(X)))=>((creative(john)<~>~strong(john))))&
(((wise(john)<~>~curious(john)))<=>((old(alice)&kind(alice))))&
((?[X]:(creative(X)))=>(~patient(john)))&
(![X]:(rich(X)=>(~old(X)<~>~rich(X))))&
((?[X]:(~curious... | ~brave(mary) | [
"p8",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2915337314905026761942950
% SZS output start Proof for 2915337314905026761942950
9. ? [X0] : humble(X0) <=> (brave(mary) | ~strong(mary)) [input p8]
15. ! [X0] : ((~calm(X0) | ~strong(X0)) => (calm(X0) <~> humble(X0))) [input p14]
16. ! [X0] : (~brave(X0) => strong(X0)) [input p15]
21. ~c... | 0 |
If someone is happy or not rich then someone is calm or not quiet.
Everyone who is not strong is both not creative and not tall and vice versa.
Everyone who is old is not curious or happy.
Everyone who is both calm and not happy is patient and vice versa.
Everyone who is not wise or wise is not humble or strong and vic... | Fred is humble. | contradiction | ((?[X]:((happy(X)|~rich(X))))=>(?[X]:((calm(X)|~quiet(X)))))&
(![X]:(~strong(X)<=>(~creative(X)&~tall(X))))&
(![X]:(old(X)=>(~curious(X)|happy(X))))&
(![X]:((calm(X)&~happy(X))<=>patient(X)))&
(![X]:((~wise(X)|wise(X))<=>(~humble(X)|strong(X))))&
(![X]:((brave(X)<~>tall(X))=>~curious(X)))&
(((~wise(alice)&creative(alic... | humble(fred) | [
"p3",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4013003453664353658999858
% SZS output start Proof for 4013003453664353658999858
4. ! [X0] : ((~happy(X0) & calm(X0)) <=> patient(X0)) [input p3]
13. (~kind(fred) & kind(fred)) <=> ? [X0] : (generous(X0) | calm(X0)) [input p12]
14. ? [X0] : (~kind(X0) | humble(X0)) <=> ? [X0] : patient(X0... | 0 |
Everyone who is both not calm and curious is both wise and tall.
If someone is both generous and not happy then someone is not strong.
If john is both not happy and happy then someone is kind or tall.
If fred is both not patient and brave then someone is both not quiet and wise.
Everyone who is not wise or not curious ... | John is not strong. | entailment | (![X]:((~calm(X)&curious(X))=>(wise(X)&tall(X))))&
((?[X]:((generous(X)&~happy(X))))=>(?[X]:(~strong(X))))&
(((~happy(john)&happy(john)))=>(?[X]:((kind(X)|tall(X)))))&
(((~patient(fred)&brave(fred)))=>(?[X]:((~quiet(X)&wise(X)))))&
(![X]:((~wise(X)|~curious(X))=>(~humble(X)|quiet(X))))&
(((~strong(fred)<~>~tall(fred)))... | ~strong(john) | [
"p0",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1743754334168487629764047
% SZS output start Proof for 1743754334168487629764047
1. ! [X0] : ((curious(X0) & ~calm(X0)) => (tall(X0) & wise(X0))) [input p0]
9. ! [X0] : ((~patient(X0) | calm(X0)) => ~calm(X0)) [input p8]
10. ! [X0] : ((curious(X0) <~> calm(X0)) => (~tall(X0) & ~funny(X0))... | 0 |
Everyone who is not kind or not funny is not old.
If someone is tall then someone is old.
Everyone who is funny is either not brave or not funny.
If paul is either not creative or not brave then someone is generous or patient and vice versa.
Everyone who is either not quiet or brave is calm or tall and vice versa.
Ever... | Mary is happy. | neutral | (![X]:((~kind(X)|~funny(X))=>~old(X)))&
((?[X]:(tall(X)))=>(?[X]:(old(X))))&
(![X]:(funny(X)=>(~brave(X)<~>~funny(X))))&
(((~creative(paul)<~>~brave(paul)))<=>(?[X]:((generous(X)|patient(X)))))&
(![X]:((~quiet(X)<~>brave(X))<=>(calm(X)|tall(X))))&
(![X]:((strong(X)&~humble(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((~wi... | happy(mary) | [] | null | 0 |
Everyone who is either happy or not patient is not patient or not rich and vice versa.
If alice is not kind then mary is happy and vice versa.
If someone is both not funny and funny then fred is not curious or brave.
Everyone who is not happy or not strong is either wise or not tall and vice versa.
Everyone who is rich... | Fred is not generous. | neutral | (![X]:((happy(X)<~>~patient(X))<=>(~patient(X)|~rich(X))))&
((~kind(alice))<=>(happy(mary)))&
((?[X]:((~funny(X)&funny(X))))=>((~curious(fred)|brave(fred))))&
(![X]:((~happy(X)|~strong(X))<=>(wise(X)<~>~tall(X))))&
(![X]:((rich(X)|happy(X))=>(funny(X)<~>~generous(X))))&
((?[X]:(~wise(X)))=>(?[X]:((brave(X)|tall(X)))))&... | ~generous(fred) | [] | null | 0 |
Everyone who is patient is not old and vice versa.
If lucy is generous or not humble then paul is both tall and not creative.
If someone is both humble and not humble then someone is both strong and not quiet.
Everyone who is not patient or not humble is either funny or not funny and vice versa.
Everyone who is both no... | Mary is not calm. | entailment | (![X]:(patient(X)<=>~old(X)))&
(((generous(lucy)|~humble(lucy)))=>((tall(paul)&~creative(paul))))&
((?[X]:((humble(X)&~humble(X))))=>(?[X]:((strong(X)&~quiet(X)))))&
(![X]:((~patient(X)|~humble(X))<=>(funny(X)<~>~funny(X))))&
(![X]:((~tall(X)&~old(X))<=>(tall(X)&rich(X))))&
(![X]:((generous(X)<~>calm(X))<=>(calm(X)|old... | ~calm(mary) | [
"p5",
"p8",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3906621886821976789187542
% SZS output start Proof for 3906621886821976789187542
6. ! [X0] : ((generous(X0) <~> calm(X0)) <=> (old(X0) | calm(X0))) [input p5]
9. ! [X0] : (~quiet(X0) <=> (~curious(X0) & quiet(X0))) [input p8]
10. ! [X0] : ((funny(X0) | ~kind(X0)) => (generous(X0) | ~quiet... | 0 |
If someone is brave then fred is not kind.
If someone is not curious or not tall then lucy is both calm and not calm.
Everyone who is patient or not generous is not tall or not quiet.
If someone is both not funny and funny then someone is either funny or curious and vice versa.
If someone is creative or not generous th... | Lucy is not tall. | contradiction | ((?[X]:(brave(X)))=>(~kind(fred)))&
((?[X]:((~curious(X)|~tall(X))))=>((calm(lucy)&~calm(lucy))))&
(![X]:((patient(X)|~generous(X))=>(~tall(X)|~quiet(X))))&
((?[X]:((~funny(X)&funny(X))))<=>(?[X]:((funny(X)<~>curious(X)))))&
((?[X]:((creative(X)|~generous(X))))=>(?[X]:(humble(X))))&
(![X]:((~rich(X)|~tall(X))<=>(old(X)... | ~tall(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5665828401894452784126073
% SZS output start Proof for 5665828401894452784126073
2. ? [X0] : (~tall(X0) | ~curious(X0)) => (~calm(lucy) & calm(lucy)) [input p1]
25. ~tall(lucy) [input hypothesis]
32. (~calm(lucy) & calm(lucy)) | ! [X0] : (tall(X0) & curious(X0)) [ennf transformation 2]
79... | 0 |
If paul is both not funny and wise then paul is not calm. Everyone who is quiet or not curious is both not brave and kind and vice versa. If john is both not quiet and wise then someone is humble and vice versa. If susan is not rich then mary is either not funny or not tall. If someone is either rich or not tall then s... | Paul is curious. | entailment | (((~funny(paul)&wise(paul)))=>(~calm(paul)))&
(![X]:((quiet(X)|~curious(X))<=>(~brave(X)&kind(X))))&
(((~quiet(john)&wise(john)))<=>(?[X]:(humble(X))))&
((~rich(susan))=>((~funny(mary)<~>~tall(mary))))&
((?[X]:((rich(X)<~>~tall(X))))<=>(?[X]:((~kind(X)<~>creative(X)))))&
(((generous(paul)&~kind(paul)))<=>(?[X]:((funny(... | curious(paul) | [
"p1",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5971818652785454069529506
% SZS output start Proof for 5971818652785454069529506
2. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (kind(X0) & ~brave(X0))) [input p1]
6. (~kind(paul) & generous(paul)) <=> ? [X0] : (~old(X0) | funny(X0)) [input p5]
18. ? [X0] : (quiet(X0) & funny(X0)) [input p17... | 0 |
Everyone who is both not generous and not creative is both not curious and wise.
If fred is kind then someone is strong.
Everyone who is not quiet is not humble or not funny and vice versa.
If someone is either funny or not happy then someone is kind.
If someone is not quiet or not strong then lucy is both quiet and no... | Lucy is strong. | contradiction | (![X]:((~generous(X)&~creative(X))=>(~curious(X)&wise(X))))&
((kind(fred))=>(?[X]:(strong(X))))&
(![X]:(~quiet(X)<=>(~humble(X)|~funny(X))))&
((?[X]:((funny(X)<~>~happy(X))))=>(?[X]:(kind(X))))&
((?[X]:((~quiet(X)|~strong(X))))<=>((quiet(lucy)&~brave(lucy))))&
((?[X]:((old(X)<~>~happy(X))))<=>(wise(alice)))&
((?[X]:((~... | strong(lucy) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6307124450614551651553364
% SZS output start Proof for 6307124450614551651553364
3. ! [X0] : (~quiet(X0) <=> (~funny(X0) | ~humble(X0))) [input p2]
5. ? [X0] : (~strong(X0) | ~quiet(X0)) <=> (~brave(lucy) & quiet(lucy)) [input p4]
8. ! [X0] : ((~humble(X0) <~> ~strong(X0)) <=> (old(X0) | ... | 0 |
If john is not old or generous then someone is patient or not strong and vice versa.
Everyone who is generous or funny is both not humble and patient and vice versa.
Everyone who is either curious or not generous is not curious and vice versa.
Everyone who is both not rich and not patient is either patient or not curio... | John is calm. | contradiction | (((~old(john)|generous(john)))<=>(?[X]:((patient(X)|~strong(X)))))&
(![X]:((generous(X)|funny(X))<=>(~humble(X)&patient(X))))&
(![X]:((curious(X)<~>~generous(X))<=>~curious(X)))&
(![X]:((~rich(X)&~patient(X))=>(patient(X)<~>~curious(X))))&
((?[X]:((calm(X)|~creative(X))))=>(~brave(alice)))&
(![X]:((~strong(X)|~curious(... | calm(john) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9052944134445257409931320
% SZS output start Proof for 9052944134445257409931320
5. ? [X0] : (~creative(X0) | calm(X0)) => ~brave(alice) [input p4]
14. ! [X0] : ((~wise(X0) & brave(X0)) <=> (~kind(X0) | ~brave(X0))) [input p13]
22. calm(john) [input hypothesis]
24. ? [X0] : calm(X0) => ~b... | 0 |
Everyone who is not calm or brave is calm and vice versa.
If someone is both not curious and humble then lucy is not wise or rich.
Everyone who is quiet or not calm is not rich.
If fred is rich then someone is old or not kind and vice versa.
Everyone who is both creative and not kind is funny and vice versa.
If fred is... | John is not old. | contradiction | (![X]:((~calm(X)|brave(X))<=>calm(X)))&
((?[X]:((~curious(X)&humble(X))))=>((~wise(lucy)|rich(lucy))))&
(![X]:((quiet(X)|~calm(X))=>~rich(X)))&
((rich(fred))<=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((creative(X)&~kind(X))<=>funny(X)))&
(((kind(fred)&~humble(fred)))=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((~kind(X)|gen... | ~old(john) | [
"p6",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7750166261543370863133027
% SZS output start Proof for 7750166261543370863133027
7. ! [X0] : ((generous(X0) | ~kind(X0)) <=> (~kind(X0) & ~strong(X0))) [input p6]
8. (~tall(lucy) | ~strong(lucy)) <=> ? [X0] : happy(X0) [input p7]
11. ? [X0] : (~strong(X0) | patient(X0)) <=> old(john) [inp... | 0 |
Everyone who is both happy and curious is not patient and vice versa.
If someone is either strong or kind then alice is not curious and vice versa.
Everyone who is either not wise or not patient is both strong and not brave.
Everyone who is either not rich or generous is generous.
Everyone who is not brave is not quiet... | Fred is not generous. | entailment | (![X]:((happy(X)&curious(X))<=>~patient(X)))&
((?[X]:((strong(X)<~>kind(X))))<=>(~curious(alice)))&
(![X]:((~wise(X)<~>~patient(X))=>(strong(X)&~brave(X))))&
(![X]:((~rich(X)<~>generous(X))=>generous(X)))&
(![X]:(~brave(X)=>~quiet(X)))&
(((patient(alice)&~rich(alice)))=>(?[X]:(rich(X))))&
(![X]:((old(X)|kind(X))=>(~hap... | ~generous(fred) | [
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 386183473626307644673154
% SZS output start Proof for 386183473626307644673154
9. ? [X0] : (~quiet(X0) <~> ~funny(X0)) => humble(fred) [input p8]
10. ! [X0] : ((old(X0) <~> humble(X0)) <=> (old(X0) <~> ~generous(X0))) [input p9]
21. funny(susan) <~> quiet(susan) [input p20]
25. generous(f... | 0 |
Everyone who is curious is not generous and vice versa.
Everyone who is kind or not curious is both brave and generous and vice versa.
Everyone who is not creative or wise is either tall or brave and vice versa.
Everyone who is not rich or happy is either happy or calm.
If fred is both not patient and happy then fred i... | Lucy is curious. | entailment | (![X]:(curious(X)<=>~generous(X)))&
(![X]:((kind(X)|~curious(X))<=>(brave(X)&generous(X))))&
(![X]:((~creative(X)|wise(X))<=>(tall(X)<~>brave(X))))&
(![X]:((~rich(X)|happy(X))=>(happy(X)<~>calm(X))))&
(((~patient(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:((~happy(X)|calm(X))<=>(funny(X)&~brave(X))))&
((humble(lucy... | curious(lucy) | [
"p0",
"p1",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3278093975400646062905612
% SZS output start Proof for 3278093975400646062905612
1. ! [X0] : (curious(X0) <=> ~generous(X0)) [input p0]
2. ! [X0] : ((~curious(X0) | kind(X0)) <=> (generous(X0) & brave(X0))) [input p1]
6. ! [X0] : ((calm(X0) | ~happy(X0)) <=> (~brave(X0) & funny(X0))) [inp... | 0 |
If lucy is patient or not strong then someone is both not happy and kind and vice versa.
Everyone who is both calm and strong is either not wise or old.
If someone is tall or not humble then someone is either creative or generous.
Everyone who is not tall or not rich is both old and not curious.
If john is either not f... | Mary is not creative. | contradiction | (((patient(lucy)|~strong(lucy)))<=>(?[X]:((~happy(X)&kind(X)))))&
(![X]:((calm(X)&strong(X))=>(~wise(X)<~>old(X))))&
((?[X]:((tall(X)|~humble(X))))=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:((~tall(X)|~rich(X))=>(old(X)&~curious(X))))&
(((~funny(john)<~>creative(john)))<=>((humble(paul)|curious(paul))))&
(![X]:(wis... | ~creative(mary) | [
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 686998929835374763171165
% SZS output start Proof for 686998929835374763171165
13. ! [X0] : ((~happy(X0) & brave(X0)) <=> (~creative(X0) | old(X0))) [input p12]
20. ~brave(mary) & generous(mary) [input p19]
22. ~creative(mary) [input hypothesis]
62. ! [X0] : (((~happy(X0) & brave(X0)) | (... | 0 |
If lucy is wise then mary is either brave or not happy.
If john is calm then someone is both not quiet and not old and vice versa.
If someone is funny then someone is quiet or calm and vice versa.
Everyone who is not creative is not humble or not tall and vice versa.
Everyone who is not quiet or not generous is either ... | Lucy is curious. | contradiction | ((wise(lucy))=>((brave(mary)<~>~happy(mary))))&
((calm(john))<=>(?[X]:((~quiet(X)&~old(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((quiet(X)|calm(X)))))&
(![X]:(~creative(X)<=>(~humble(X)|~tall(X))))&
(![X]:((~quiet(X)|~generous(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>(patient(X)<~>~generous(X))... | curious(lucy) | [
"p3",
"p4",
"p11",
"p13",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7797676442100289979968671
% SZS output start Proof for 7797676442100289979968671
4. ! [X0] : (~creative(X0) <=> (~tall(X0) | ~humble(X0))) [input p3]
5. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> (~humble(X0) <~> ~curious(X0))) [input p4]
12. ! [X0] : (quiet(X0) <=> kind(X0)) [input p11]
... | 0 |
Everyone who is both not humble and not old is both not creative and not old and vice versa.
Everyone who is either creative or tall is both calm and not old and vice versa.
Everyone who is either wise or strong is either not quiet or not curious and vice versa.
Everyone who is either not brave or not happy is not quie... | Alice is old. | entailment | (![X]:((~humble(X)&~old(X))<=>(~creative(X)&~old(X))))&
(![X]:((creative(X)<~>tall(X))<=>(calm(X)&~old(X))))&
(![X]:((wise(X)<~>strong(X))<=>(~quiet(X)<~>~curious(X))))&
(![X]:((~brave(X)<~>~happy(X))<=>(~quiet(X)|calm(X))))&
(![X]:(brave(X)<=>~tall(X)))&
(![X]:((~patient(X)<~>~strong(X))=>wise(X)))&
(![X]:((~wise(X)<~... | old(alice) | [
"p3",
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5930203518751712467819444
% SZS output start Proof for 5930203518751712467819444
4. ! [X0] : ((~brave(X0) <~> ~happy(X0)) <=> (calm(X0) | ~quiet(X0))) [input p3]
5. ! [X0] : (brave(X0) <=> ~tall(X0)) [input p4]
10. ? [X0] : tall(X0) <=> (~patient(paul) & patient(paul)) [input p9]
11. ! [X... | 0 |
Everyone who is funny is not calm or not patient. Everyone who is not tall or not old is either not generous or humble and vice versa. Everyone who is both not quiet and tall is calm or not happy and vice versa. If paul is not curious then mary is both generous and not strong. Everyone who is tall is either wise or old... | Susan is not quiet. | entailment | (![X]:(funny(X)=>(~calm(X)|~patient(X))))&
(![X]:((~tall(X)|~old(X))<=>(~generous(X)<~>humble(X))))&
(![X]:((~quiet(X)&tall(X))<=>(calm(X)|~happy(X))))&
((~curious(paul))=>((generous(mary)&~strong(mary))))&
(![X]:(tall(X)=>(wise(X)<~>old(X))))&
((?[X]:(kind(X)))<=>(~patient(susan)))&
(![X]:(generous(X)<=>(~calm(X)<~>ta... | ~quiet(susan) | [
"p1",
"p2",
"p7",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2885282307478796714592311
% SZS output start Proof for 2885282307478796714592311
2. ! [X0] : ((~old(X0) | ~tall(X0)) <=> (~generous(X0) <~> humble(X0))) [input p1]
3. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> (~happy(X0) | calm(X0))) [input p2]
8. ! [X0] : ((~old(X0) & rich(X0)) <=> (strong(X... | 0 |
Everyone who is both not wise and quiet is old or not patient.
Everyone who is humble is either not creative or not rich and vice versa.
Everyone who is both rich and not patient is both not happy and wise and vice versa.
Everyone who is either not old or not humble is not wise and vice versa.
If fred is either not pat... | Alice is not creative. | contradiction | (![X]:((~wise(X)&quiet(X))=>(old(X)|~patient(X))))&
(![X]:(humble(X)<=>(~creative(X)<~>~rich(X))))&
(![X]:((rich(X)&~patient(X))<=>(~happy(X)&wise(X))))&
(![X]:((~old(X)<~>~humble(X))<=>~wise(X)))&
(((~patient(fred)<~>quiet(fred)))<=>((old(mary)<~>~funny(mary))))&
((?[X]:((~calm(X)|~rich(X))))=>(?[X]:((~rich(X)|~brave(... | ~creative(alice) | [
"p1",
"p2",
"p3",
"p8",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4930791600443088515490719
% SZS output start Proof for 4930791600443088515490719
2. ! [X0] : (humble(X0) <=> (~creative(X0) <~> ~rich(X0))) [input p1]
3. ! [X0] : ((~patient(X0) & rich(X0)) <=> (wise(X0) & ~happy(X0))) [input p2]
4. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> ~wise(X0)) [inp... | 0 |
Everyone who is not humble is generous. If someone is either tall or not funny then alice is wise or not patient. Everyone who is both not curious and humble is both not generous and brave and vice versa. If someone is either not brave or not tall then lucy is either not kind or not patient. If someone is curious then ... | Susan is not tall. | entailment | (![X]:(~humble(X)=>generous(X)))&
((?[X]:((tall(X)<~>~funny(X))))=>((wise(alice)|~patient(alice))))&
(![X]:((~curious(X)&humble(X))<=>(~generous(X)&brave(X))))&
((?[X]:((~brave(X)<~>~tall(X))))=>((~kind(lucy)<~>~patient(lucy))))&
((?[X]:(curious(X)))<=>((funny(fred)&~curious(fred))))&
(((creative(fred)|~strong(fred)))<... | ~tall(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3531227307850625771885801
% SZS output start Proof for 3531227307850625771885801
8. ! [X0] : ((~strong(X0) & strong(X0)) <=> (tall(X0) | calm(X0))) [input p7]
23. tall(susan) [input hypothesis]
48. ! [X0] : (((~strong(X0) & strong(X0)) | (~tall(X0) & ~calm(X0))) & ((tall(X0) | calm(X0)) |... | 0 |
If someone is curious or funny then paul is not patient or not strong and vice versa.
Everyone who is both humble and tall is not funny and vice versa.
If paul is funny then someone is either wise or not happy and vice versa.
Everyone who is not wise is not generous or curious.
If mary is both not humble and not curiou... | Mary is not patient. | neutral | ((?[X]:((curious(X)|funny(X))))<=>((~patient(paul)|~strong(paul))))&
(![X]:((humble(X)&tall(X))<=>~funny(X)))&
((funny(paul))<=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:(~wise(X)=>(~generous(X)|curious(X))))&
(((~humble(mary)&~curious(mary)))=>((brave(susan)|~creative(susan))))&
(((patient(lucy)|strong(lucy)))<=>((rich(j... | ~patient(mary) | [] | null | 0 |
If fred is both strong and not happy then someone is not wise or not funny.
Everyone who is not tall is not happy or not funny and vice versa.
If someone is not quiet or curious then someone is tall or not strong and vice versa.
Everyone who is creative or not strong is both brave and not happy.
If mary is either not s... | Alice is strong. | entailment | (((strong(fred)&~happy(fred)))=>(?[X]:((~wise(X)|~funny(X)))))&
(![X]:(~tall(X)<=>(~happy(X)|~funny(X))))&
((?[X]:((~quiet(X)|curious(X))))<=>(?[X]:((tall(X)|~strong(X)))))&
(![X]:((creative(X)|~strong(X))=>(brave(X)&~happy(X))))&
(((~strong(mary)<~>~tall(mary)))=>(?[X]:(~quiet(X))))&
(((~strong(fred)<~>strong(fred)))=... | strong(alice) | [
"p1",
"p3",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5983865690052948364686105
% SZS output start Proof for 5983865690052948364686105
2. ! [X0] : (~tall(X0) <=> (~funny(X0) | ~happy(X0))) [input p1]
4. ! [X0] : ((~strong(X0) | creative(X0)) => (~happy(X0) & brave(X0))) [input p3]
7. ! [X0] : ((old(X0) | ~tall(X0)) <=> (brave(X0) <~> ~funny(... | 0 |
If someone is both funny and not happy then someone is calm or brave and vice versa.
Everyone who is either strong or not happy is both not old and not curious.
Everyone who is both tall and not calm is not quiet and vice versa.
Everyone who is either not rich or rich is old.
Everyone who is either not brave or strong ... | Mary is funny. | contradiction | ((?[X]:((funny(X)&~happy(X))))<=>(?[X]:((calm(X)|brave(X)))))&
(![X]:((strong(X)<~>~happy(X))=>(~old(X)&~curious(X))))&
(![X]:((tall(X)&~calm(X))<=>~quiet(X)))&
(![X]:((~rich(X)<~>rich(X))=>old(X)))&
(![X]:((~brave(X)<~>strong(X))=>(brave(X)&~wise(X))))&
((?[X]:((~calm(X)&~generous(X))))<=>(?[X]:((creative(X)|~happy(X)... | funny(mary) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6313621938120116220457455
% SZS output start Proof for 6313621938120116220457455
1. ? [X0] : (~happy(X0) & funny(X0)) <=> ? [X0] : (brave(X0) | calm(X0)) [input p0]
2. ! [X0] : ((strong(X0) <~> ~happy(X0)) => (~curious(X0) & ~old(X0))) [input p1]
4. ! [X0] : ((~rich(X0) <~> rich(X0)) => o... | 0 |
Everyone who is not rich is both creative and not brave.
Everyone who is both not humble and creative is not patient or kind and vice versa.
Everyone who is not rich is either not wise or happy and vice versa.
Everyone who is either quiet or strong is brave.
Everyone who is either not curious or calm is creative or not... | Paul is rich. | contradiction | (![X]:(~rich(X)=>(creative(X)&~brave(X))))&
(![X]:((~humble(X)&creative(X))<=>(~patient(X)|kind(X))))&
(![X]:(~rich(X)<=>(~wise(X)<~>happy(X))))&
(![X]:((quiet(X)<~>strong(X))=>brave(X)))&
(![X]:((~curious(X)<~>calm(X))<=>(creative(X)|~rich(X))))&
(![X]:((~humble(X)<~>~creative(X))=>(kind(X)<~>rich(X))))&
(![X]:((~happ... | rich(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4983218138407433011785175
% SZS output start Proof for 4983218138407433011785175
10. ! [X0] : (rich(X0) => (~rich(X0) & kind(X0))) [input p9]
25. rich(paul) [input hypothesis]
37. ! [X0] : ((~rich(X0) & kind(X0)) | ~rich(X0)) [ennf transformation 10]
116. ~rich(X0) | ~rich(X0) [cnf transf... | 0 |
Everyone who is not generous or not brave is both wise and not brave. If susan is both not humble and brave then alice is either creative or quiet. If lucy is creative then john is not brave or not funny. If john is not patient or not rich then susan is both not funny and not kind and vice versa. If someone is either n... | Paul is not funny. | contradiction | (![X]:((~generous(X)|~brave(X))=>(wise(X)&~brave(X))))&
(((~humble(susan)&brave(susan)))=>((creative(alice)<~>quiet(alice))))&
((creative(lucy))=>((~brave(john)|~funny(john))))&
(((~patient(john)|~rich(john)))<=>((~funny(susan)&~kind(susan))))&
((?[X]:((~old(X)<~>~funny(X))))=>((~kind(alice)|quiet(alice))))&
((?[X]:((o... | ~funny(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5704435538533718483204866
% SZS output start Proof for 5704435538533718483204866
17. ~curious(paul) & funny(paul) [input p16]
24. ~funny(paul) [input hypothesis]
143. funny(paul) [cnf transformation 17]
155. ~funny(paul) [cnf transformation 24]
359. $false [subsumption resolution 155,143]... | 0 |
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