premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either kind or not creative then someone is creative or not strong.
Everyone who is wise or not happy is not generous.
If susan is either funny or not creative then lucy is not wise or not strong.
If john is both not happy and humble then paul is not rich.
If john is both tall and not old then someone is ... | Alice is not rich. | neutral | ((?[X]:((kind(X)<~>~creative(X))))=>(?[X]:((creative(X)|~strong(X)))))&
(![X]:((wise(X)|~happy(X))=>~generous(X)))&
(((funny(susan)<~>~creative(susan)))=>((~wise(lucy)|~strong(lucy))))&
(((~happy(john)&humble(john)))=>(~rich(paul)))&
(((tall(john)&~old(john)))<=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:((generous(X)|~happ... | ~rich(alice) | [] | null | 0 |
If susan is not quiet or not generous then someone is both patient and not curious.
Everyone who is either not calm or not happy is either not old or not wise and vice versa.
If paul is curious or not creative then paul is both not funny and not old and vice versa.
Everyone who is not brave is brave or not tall.
Everyo... | Lucy is old. | contradiction | (((~quiet(susan)|~generous(susan)))=>(?[X]:((patient(X)&~curious(X)))))&
(![X]:((~calm(X)<~>~happy(X))<=>(~old(X)<~>~wise(X))))&
(((curious(paul)|~creative(paul)))<=>((~funny(paul)&~old(paul))))&
(![X]:(~brave(X)=>(brave(X)|~tall(X))))&
(![X]:((~curious(X)&happy(X))<=>~tall(X)))&
((?[X]:((~brave(X)&~wise(X))))<=>(?[X]:... | old(lucy) | [
"p3",
"p4",
"p5",
"p7",
"p8",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5209765187895968186892853
% SZS output start Proof for 5209765187895968186892853
4. ! [X0] : (~brave(X0) => (~tall(X0) | brave(X0))) [input p3]
5. ! [X0] : ((happy(X0) & ~curious(X0)) <=> ~tall(X0)) [input p4]
6. ? [X0] : (~wise(X0) & ~brave(X0)) <=> ? [X0] : (~tall(X0) & ~wise(X0)) [inpu... | 0 |
If someone is not wise or kind then someone is either generous or humble and vice versa. If susan is either not wise or not quiet then someone is either tall or generous and vice versa. If alice is not rich or not humble then someone is both tall and not kind and vice versa. Everyone who is tall or not kind is both cur... | Lucy is brave. | contradiction | ((?[X]:((~wise(X)|kind(X))))<=>(?[X]:((generous(X)<~>humble(X)))))&
(((~wise(susan)<~>~quiet(susan)))<=>(?[X]:((tall(X)<~>generous(X)))))&
(((~rich(alice)|~humble(alice)))<=>(?[X]:((tall(X)&~kind(X)))))&
(![X]:((tall(X)|~kind(X))<=>(curious(X)&humble(X))))&
(![X]:((wise(X)|~happy(X))=>(brave(X)<~>~strong(X))))&
((?[X]:... | brave(lucy) | [
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2433416625433114217758714
% SZS output start Proof for 2433416625433114217758714
20. strong(lucy) & ~funny(lucy) [input p19]
21. ~funny(lucy) <~> brave(lucy) [input p20]
24. brave(lucy) [input hypothesis]
83. (~brave(lucy) | funny(lucy)) & (brave(lucy) | ~funny(lucy)) [nnf transformation ... | 0 |
Everyone who is not creative or humble is both not rich and tall and vice versa.
If someone is both not kind and funny then someone is not wise and vice versa.
Everyone who is tall is either funny or quiet.
Everyone who is either old or not tall is funny or old and vice versa.
If lucy is both not humble and not creativ... | Alice is old. | neutral | (![X]:((~creative(X)|humble(X))<=>(~rich(X)&tall(X))))&
((?[X]:((~kind(X)&funny(X))))<=>(?[X]:(~wise(X))))&
(![X]:(tall(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((humble(X)|c... | old(alice) | [] | null | 0 |
Everyone who is both calm and not kind is both not old and not patient.
If someone is not curious or happy then someone is curious.
Everyone who is either not humble or not patient is humble and vice versa.
Everyone who is either not patient or not rich is not patient or wise and vice versa.
Everyone who is rich or kin... | Lucy is brave. | neutral | (![X]:((calm(X)&~kind(X))=>(~old(X)&~patient(X))))&
((?[X]:((~curious(X)|happy(X))))=>(?[X]:(curious(X))))&
(![X]:((~humble(X)<~>~patient(X))<=>humble(X)))&
(![X]:((~patient(X)<~>~rich(X))<=>(~patient(X)|wise(X))))&
(![X]:((rich(X)|kind(X))<=>(tall(X)<~>funny(X))))&
((?[X]:(quiet(X)))=>((curious(paul)&rich(paul))))&
(!... | brave(lucy) | [] | null | 0 |
If someone is both not wise and quiet then susan is both not happy and not humble and vice versa.
Everyone who is happy is either quiet or not creative.
If someone is either not strong or not humble then someone is not brave.
Everyone who is not creative is humble or strong.
If someone is both not wise and humble then ... | Lucy is not funny. | contradiction | ((?[X]:((~wise(X)&quiet(X))))<=>((~happy(susan)&~humble(susan))))&
(![X]:(happy(X)=>(quiet(X)<~>~creative(X))))&
((?[X]:((~strong(X)<~>~humble(X))))=>(?[X]:(~brave(X))))&
(![X]:(~creative(X)=>(humble(X)|strong(X))))&
((?[X]:((~wise(X)&humble(X))))=>((funny(mary)&~happy(mary))))&
(![X]:((~rich(X)|~wise(X))=>(~old(X)&kin... | ~funny(lucy) | [
"p2",
"p4",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3855227593671313174929709
% SZS output start Proof for 3855227593671313174929709
3. ? [X0] : (~strong(X0) <~> ~humble(X0)) => ? [X0] : ~brave(X0) [input p2]
5. ? [X0] : (humble(X0) & ~wise(X0)) => (~happy(mary) & funny(mary)) [input p4]
8. (~happy(lucy) & ~creative(lucy)) <=> ? [X0] : (pa... | 0 |
Everyone who is not wise or funny is not kind.
If someone is humble then someone is wise.
If alice is either brave or not happy then someone is not generous or calm and vice versa.
Everyone who is not creative is both not humble and humble and vice versa.
Everyone who is not calm or not funny is not happy or not tall.
... | Lucy is quiet. | contradiction | (![X]:((~wise(X)|funny(X))=>~kind(X)))&
((?[X]:(humble(X)))=>(?[X]:(wise(X))))&
(((brave(alice)<~>~happy(alice)))<=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:(~creative(X)<=>(~humble(X)&humble(X))))&
(![X]:((~calm(X)|~funny(X))=>(~happy(X)|~tall(X))))&
((?[X]:(~wise(X)))=>((~strong(susan)&patient(susan))))&
((?[X]:((~hum... | quiet(lucy) | [
"p3",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7478899213324146792153990
% SZS output start Proof for 7478899213324146792153990
4. ! [X0] : (~creative(X0) <=> (humble(X0) & ~humble(X0))) [input p3]
10. ! [X0] : (~happy(X0) => (~calm(X0) & ~creative(X0))) [input p9]
14. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> happy(X0)) [input p13]
15... | 0 |
If someone is kind then someone is either creative or old and vice versa. Everyone who is not curious is either rich or not curious and vice versa. Everyone who is not calm is either not brave or not humble and vice versa. If someone is either not rich or brave then someone is both not happy and not generous. If someon... | Alice is not tall. | entailment | ((?[X]:(kind(X)))<=>(?[X]:((creative(X)<~>old(X)))))&
(![X]:(~curious(X)<=>(rich(X)<~>~curious(X))))&
(![X]:(~calm(X)<=>(~brave(X)<~>~humble(X))))&
((?[X]:((~rich(X)<~>brave(X))))=>(?[X]:((~happy(X)&~generous(X)))))&
((?[X]:((happy(X)<~>strong(X))))<=>((~generous(lucy)&quiet(lucy))))&
((?[X]:((creative(X)<~>~calm(X))))... | ~tall(alice) | [
"p7",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6203158788231885364645854
% SZS output start Proof for 6203158788231885364645854
8. ~tall(alice) <=> ? [X0] : (strong(X0) | ~patient(X0)) [input p7]
15. (~funny(alice) & ~kind(alice)) <=> ? [X0] : (funny(X0) | ~creative(X0)) [input p14]
16. ! [X0] : ((tall(X0) & ~kind(X0)) <=> (~tall(X0) ... | 0 |
Everyone who is not wise or kind is not happy or not strong and vice versa.
Everyone who is not happy is either old or brave.
If paul is either curious or quiet then someone is both humble and not brave and vice versa.
If lucy is either rich or not creative then someone is not tall.
If someone is not patient or not tal... | Mary is tall. | entailment | (![X]:((~wise(X)|kind(X))<=>(~happy(X)|~strong(X))))&
(![X]:(~happy(X)=>(old(X)<~>brave(X))))&
(((curious(paul)<~>quiet(paul)))<=>(?[X]:((humble(X)&~brave(X)))))&
(((rich(lucy)<~>~creative(lucy)))=>(?[X]:(~tall(X))))&
((?[X]:((~patient(X)|~tall(X))))<=>(?[X]:(~wise(X))))&
(((humble(mary)<~>brave(mary)))<=>((~strong(ali... | tall(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 594259313890058935259733
% SZS output start Proof for 594259313890058935259733
12. ! [X0] : (strong(X0) <=> (~strong(X0) & ~tall(X0))) [input p11]
25. ~tall(mary) [input hypothesis]
63. ! [X0] : ((strong(X0) | (strong(X0) | tall(X0))) & ((~strong(X0) & ~tall(X0)) | ~strong(X0))) [nnf tran... | 0 |
If paul is curious or calm then mary is not creative and vice versa.
If paul is strong then susan is either generous or quiet.
If someone is not rich then someone is calm.
Everyone who is wise is old or calm.
If someone is either not creative or not wise then john is not tall.
Everyone who is not strong or not tall is ... | Susan is generous. | neutral | (((curious(paul)|calm(paul)))<=>(~creative(mary)))&
((strong(paul))=>((generous(susan)<~>quiet(susan))))&
((?[X]:(~rich(X)))=>(?[X]:(calm(X))))&
(![X]:(wise(X)=>(old(X)|calm(X))))&
((?[X]:((~creative(X)<~>~wise(X))))=>(~tall(john)))&
(![X]:((~strong(X)|~tall(X))=>(creative(X)|~quiet(X))))&
(![X]:(kind(X)<=>(patient(X)|... | generous(susan) | [] | null | 0 |
If lucy is not patient or wise then someone is both curious and not curious. Everyone who is both old and kind is either not old or creative and vice versa. Everyone who is both not calm and calm is not quiet or not kind and vice versa. Everyone who is both generous and curious is both creative and tall and vice versa.... | Paul is not wise. | entailment | (((~patient(lucy)|wise(lucy)))=>(?[X]:((curious(X)&~curious(X)))))&
(![X]:((old(X)&kind(X))<=>(~old(X)<~>creative(X))))&
(![X]:((~calm(X)&calm(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((generous(X)&curious(X))<=>(creative(X)&tall(X))))&
(![X]:(old(X)=>(~humble(X)<~>calm(X))))&
(![X]:(creative(X)=>(humble(X)&~happy(X))))&
(!... | ~wise(paul) | [
"p1",
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 327966897168739328394362
% SZS output start Proof for 327966897168739328394362
2. ! [X0] : ((kind(X0) & old(X0)) <=> (~old(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~kind(X0) | ~quiet(X0))) [input p2]
6. ! [X0] : (creative(X0) => (~happy(X0) & humble(X0)))... | 0 |
If someone is either brave or generous then someone is wise and vice versa.
Everyone who is kind is not patient and vice versa.
Everyone who is either not patient or calm is old and vice versa.
If someone is not patient then mary is brave or not happy.
If someone is not humble or humble then paul is quiet or rich.
Ever... | Lucy is patient. | neutral | ((?[X]:((brave(X)<~>generous(X))))<=>(?[X]:(wise(X))))&
(![X]:(kind(X)<=>~patient(X)))&
(![X]:((~patient(X)<~>calm(X))<=>old(X)))&
((?[X]:(~patient(X)))=>((brave(mary)|~happy(mary))))&
((?[X]:((~humble(X)|humble(X))))=>((quiet(paul)|rich(paul))))&
(![X]:((~quiet(X)<~>creative(X))=>curious(X)))&
((?[X]:((~calm(X)&patien... | patient(lucy) | [] | null | 0 |
Everyone who is both patient and rich is strong or not strong and vice versa. Everyone who is humble is creative or not patient and vice versa. If paul is either humble or generous then someone is either brave or not quiet and vice versa. If someone is both old and tall then someone is either humble or not quiet. Every... | Alice is not strong. | entailment | (![X]:((patient(X)&rich(X))<=>(strong(X)|~strong(X))))&
(![X]:(humble(X)<=>(creative(X)|~patient(X))))&
(((humble(paul)<~>generous(paul)))<=>(?[X]:((brave(X)<~>~quiet(X)))))&
((?[X]:((old(X)&tall(X))))=>(?[X]:((humble(X)<~>~quiet(X)))))&
(![X]:((~tall(X)|wise(X))=>~creative(X)))&
(((quiet(mary)<~>~humble(mary)))<=>(?[X... | ~strong(alice) | [
"p0",
"p6",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1352943039669695067437320
% SZS output start Proof for 1352943039669695067437320
1. ! [X0] : ((rich(X0) & patient(X0)) <=> (~strong(X0) | strong(X0))) [input p0]
7. ~tall(susan) <=> ? [X0] : (~patient(X0) | strong(X0)) [input p6]
13. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~rich(X0) | ... | 0 |
Everyone who is tall is either wise or not happy and vice versa.
If someone is either not curious or not calm then lucy is both not kind and not old.
Everyone who is both not curious and creative is not funny or patient and vice versa.
Everyone who is tall or not strong is either patient or not old and vice versa.
If s... | Fred is funny. | contradiction | (![X]:(tall(X)<=>(wise(X)<~>~happy(X))))&
((?[X]:((~curious(X)<~>~calm(X))))=>((~kind(lucy)&~old(lucy))))&
(![X]:((~curious(X)&creative(X))<=>(~funny(X)|patient(X))))&
(![X]:((tall(X)|~strong(X))<=>(patient(X)<~>~old(X))))&
((?[X]:((~rich(X)|~wise(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
((~humble(fred))=>(?[X]:(calm(X)... | funny(fred) | [
"p2",
"p3",
"p11",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8975919739032884913302516
% SZS output start Proof for 8975919739032884913302516
3. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (patient(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | tall(X0)) <=> (patient(X0) <~> ~old(X0))) [input p3]
12. ! [X0] : ((patient(X0) | ~generous(X0... | 0 |
If alice is quiet then fred is not humble.
Everyone who is either happy or not tall is not humble or not old and vice versa.
If susan is either strong or not calm then paul is both creative and curious and vice versa.
If susan is wise then someone is humble and vice versa.
Everyone who is not calm is not curious or not... | Lucy is not curious. | contradiction | ((quiet(alice))=>(~humble(fred)))&
(![X]:((happy(X)<~>~tall(X))<=>(~humble(X)|~old(X))))&
(((strong(susan)<~>~calm(susan)))<=>((creative(paul)&curious(paul))))&
((wise(susan))<=>(?[X]:(humble(X))))&
(![X]:(~calm(X)<=>(~curious(X)|~tall(X))))&
(![X]:((curious(X)|wise(X))<=>(~humble(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)<... | ~curious(lucy) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 600663910014528556050821
% SZS output start Proof for 600663910014528556050821
13. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p12]
15. ! [X0] : ((~quiet(X0) | old(X0)) => (~brave(X0) & curious(X0))) [input p14]
23. ~curious(lucy) [input hypothesis]
28. ! [X0] : ((~brave(... | 0 |
Everyone who is both not curious and curious is either patient or not calm and vice versa. If paul is both not wise and not brave then someone is kind or not creative and vice versa. Everyone who is both calm and patient is not calm or funny. If someone is both old and not curious then someone is either not funny or no... | Alice is quiet. | contradiction | (![X]:((~curious(X)&curious(X))<=>(patient(X)<~>~calm(X))))&
(((~wise(paul)&~brave(paul)))<=>(?[X]:((kind(X)|~creative(X)))))&
(![X]:((calm(X)&patient(X))=>(~calm(X)|funny(X))))&
((?[X]:((old(X)&~curious(X))))<=>(?[X]:((~funny(X)<~>~rich(X)))))&
((?[X]:((~happy(X)|~wise(X))))=>((tall(alice)&generous(alice))))&
(![X]:((... | quiet(alice) | [
"p1",
"p4",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8997923833731341659251978
% SZS output start Proof for 8997923833731341659251978
2. (~brave(paul) & ~wise(paul)) <=> ? [X0] : (~creative(X0) | kind(X0)) [input p1]
5. ? [X0] : (~wise(X0) | ~happy(X0)) => (generous(alice) & tall(alice)) [input p4]
6. ! [X0] : ((quiet(X0) | ~wise(X0)) <=> (... | 0 |
Everyone who is not old or patient is both not generous and old and vice versa.
Everyone who is not quiet or not wise is both not kind and quiet and vice versa.
Everyone who is either rich or happy is not strong and vice versa.
If mary is wise or creative then fred is both curious and not curious and vice versa.
Everyo... | Fred is not old. | contradiction | (![X]:((~old(X)|patient(X))<=>(~generous(X)&old(X))))&
(![X]:((~quiet(X)|~wise(X))<=>(~kind(X)&quiet(X))))&
(![X]:((rich(X)<~>happy(X))<=>~strong(X)))&
(((wise(mary)|creative(mary)))<=>((curious(fred)&~curious(fred))))&
(![X]:((~happy(X)|kind(X))<=>(~creative(X)|~happy(X))))&
((?[X]:((~rich(X)|happy(X))))<=>((~old(john... | ~old(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5160045855043132197539281
% SZS output start Proof for 5160045855043132197539281
1. ! [X0] : ((patient(X0) | ~old(X0)) <=> (old(X0) & ~generous(X0))) [input p0]
22. ~old(fred) [input hypothesis]
32. ! [X0] : (((patient(X0) | ~old(X0)) | (~old(X0) | generous(X0))) & ((old(X0) & ~generous(X... | 0 |
Everyone who is rich or not strong is patient and vice versa.
If someone is both funny and not strong then someone is not happy or old and vice versa.
If mary is quiet then someone is either strong or not strong and vice versa.
Everyone who is curious or not tall is humble or funny.
If someone is calm or rich then some... | Mary is wise. | neutral | (![X]:((rich(X)|~strong(X))<=>patient(X)))&
((?[X]:((funny(X)&~strong(X))))<=>(?[X]:((~happy(X)|old(X)))))&
((quiet(mary))<=>(?[X]:((strong(X)<~>~strong(X)))))&
(![X]:((curious(X)|~tall(X))=>(humble(X)|funny(X))))&
((?[X]:((calm(X)|rich(X))))=>(?[X]:((wise(X)&~old(X)))))&
((?[X]:((calm(X)<~>generous(X))))=>(?[X]:((wise... | wise(mary) | [] | null | 0 |
Everyone who is both kind and funny is either not strong or creative. If fred is generous then paul is both old and patient. Everyone who is both not happy and wise is brave. Everyone who is either kind or not strong is either curious or funny and vice versa. If someone is tall or not strong then john is both not humbl... | Susan is curious. | neutral | (![X]:((kind(X)&funny(X))=>(~strong(X)<~>creative(X))))&
((generous(fred))=>((old(paul)&patient(paul))))&
(![X]:((~happy(X)&wise(X))=>brave(X)))&
(![X]:((kind(X)<~>~strong(X))<=>(curious(X)<~>funny(X))))&
((?[X]:((tall(X)|~strong(X))))=>((~humble(john)&curious(john))))&
((?[X]:((~calm(X)<~>~quiet(X))))<=>((tall(paul)&~... | curious(susan) | [] | null | 0 |
Everyone who is both not curious and strong is not funny and vice versa.
Everyone who is both not creative and calm is not brave or not kind.
If alice is generous or not calm then someone is both not funny and quiet and vice versa.
Everyone who is not strong or curious is either kind or happy and vice versa.
Everyone w... | Alice is not patient. | neutral | (![X]:((~curious(X)&strong(X))<=>~funny(X)))&
(![X]:((~creative(X)&calm(X))=>(~brave(X)|~kind(X))))&
(((generous(alice)|~calm(alice)))<=>(?[X]:((~funny(X)&quiet(X)))))&
(![X]:((~strong(X)|curious(X))<=>(kind(X)<~>happy(X))))&
(![X]:((happy(X)&~humble(X))<=>(~brave(X)|~humble(X))))&
(![X]:((curious(X)&rich(X))=>generous... | ~patient(alice) | [] | null | 0 |
If lucy is both not funny and wise then someone is not rich or not wise and vice versa. Everyone who is wise or old is tall or not tall and vice versa. If someone is strong then alice is not curious. If john is calm then alice is funny or not happy. Everyone who is quiet is kind or patient and vice versa. Everyone who ... | Lucy is not calm. | neutral | (((~funny(lucy)&wise(lucy)))<=>(?[X]:((~rich(X)|~wise(X)))))&
(![X]:((wise(X)|old(X))<=>(tall(X)|~tall(X))))&
((?[X]:(strong(X)))=>(~curious(alice)))&
((calm(john))=>((funny(alice)|~happy(alice))))&
(![X]:(quiet(X)<=>(kind(X)|patient(X))))&
(![X]:((strong(X)<~>~patient(X))<=>~happy(X)))&
(![X]:((rich(X)<~>humble(X))<=>... | ~calm(lucy) | [] | null | 0 |
Everyone who is strong or not calm is not strong and vice versa. If someone is not happy then susan is not quiet and vice versa. Everyone who is brave is both not generous and not patient. Everyone who is either not old or generous is both calm and not strong. If paul is both strong and not calm then alice is not rich.... | Paul is quiet. | entailment | (![X]:((strong(X)|~calm(X))<=>~strong(X)))&
((?[X]:(~happy(X)))<=>(~quiet(susan)))&
(![X]:(brave(X)=>(~generous(X)&~patient(X))))&
(![X]:((~old(X)<~>generous(X))=>(calm(X)&~strong(X))))&
(((strong(paul)&~calm(paul)))=>(~rich(alice)))&
(![X]:((funny(X)&patient(X))=>(generous(X)&~kind(X))))&
(((~kind(mary)&brave(mary)))<... | quiet(paul) | [
"p0",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8025032169113280901838973
% SZS output start Proof for 8025032169113280901838973
1. ! [X0] : ((~calm(X0) | strong(X0)) <=> ~strong(X0)) [input p0]
11. ! [X0] : ((quiet(X0) & ~patient(X0)) <=> (~wise(X0) | ~rich(X0))) [input p10]
12. ! [X0] : ((~rich(X0) <~> ~funny(X0)) <=> (~funny(X0) & c... | 0 |
Everyone who is not creative is both brave and not kind and vice versa.
Everyone who is both not rich and not brave is not old or old and vice versa.
Everyone who is either not calm or humble is not old or funny.
If john is old then alice is either rich or not brave.
If alice is either old or not kind then alice is not... | Fred is not happy. | neutral | (![X]:(~creative(X)<=>(brave(X)&~kind(X))))&
(![X]:((~rich(X)&~brave(X))<=>(~old(X)|old(X))))&
(![X]:((~calm(X)<~>humble(X))=>(~old(X)|funny(X))))&
((old(john))=>((rich(alice)<~>~brave(alice))))&
(((old(alice)<~>~kind(alice)))=>((~happy(alice)|happy(alice))))&
(((rich(fred)<~>old(fred)))=>((~humble(john)&funny(john))))... | ~happy(fred) | [] | null | 0 |
Everyone who is not wise is both not wise and not happy and vice versa.
If someone is tall then paul is not funny or not old.
If someone is rich then john is both not humble and old and vice versa.
If someone is either not strong or not curious then someone is both rich and not patient and vice versa.
Everyone who is c... | Alice is funny. | contradiction | (![X]:(~wise(X)<=>(~wise(X)&~happy(X))))&
((?[X]:(tall(X)))=>((~funny(paul)|~old(paul))))&
((?[X]:(rich(X)))<=>((~humble(john)&old(john))))&
((?[X]:((~strong(X)<~>~curious(X))))<=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:(creative(X)<=>(~happy(X)&~patient(X))))&
(![X]:((curious(X)<~>~kind(X))<=>(quiet(X)&rich(X))))&
(((~... | funny(alice) | [
"p4",
"p9",
"p10",
"p13",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7347314522225654321492190
% SZS output start Proof for 7347314522225654321492190
5. ! [X0] : (creative(X0) <=> (~patient(X0) & ~happy(X0))) [input p4]
10. ? [X0] : (~humble(X0) <~> ~creative(X0)) => ? [X0] : (~strong(X0) & strong(X0)) [input p9]
11. ! [X0] : ((~patient(X0) | ~happy(X0)) =... | 0 |
Everyone who is not generous or not tall is either not kind or wise. Everyone who is both not humble and not quiet is kind and vice versa. If someone is either wise or brave then lucy is calm or not calm. Everyone who is either funny or not happy is not kind and vice versa. Everyone who is wise or not rich is curious. ... | John is not humble. | entailment | (![X]:((~generous(X)|~tall(X))=>(~kind(X)<~>wise(X))))&
(![X]:((~humble(X)&~quiet(X))<=>kind(X)))&
((?[X]:((wise(X)<~>brave(X))))=>((calm(lucy)|~calm(lucy))))&
(![X]:((funny(X)<~>~happy(X))<=>~kind(X)))&
(![X]:((wise(X)|~rich(X))=>curious(X)))&
(![X]:((creative(X)<~>patient(X))<=>(curious(X)&~tall(X))))&
(![X]:((genero... | ~humble(john) | [
"p1",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1659399507740196337535121
% SZS output start Proof for 1659399507740196337535121
2. ! [X0] : ((~quiet(X0) & ~humble(X0)) <=> kind(X0)) [input p1]
13. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> (funny(X0) <~> quiet(X0))) [input p12]
21. ~funny(john) & ~quiet(john) [input p20]
24. humble(john)... | 0 |
Everyone who is not wise is both kind and not tall. If someone is either not generous or not curious then someone is either not funny or not wise and vice versa. If fred is either not kind or not humble then someone is both curious and patient. If someone is both not generous and not rich then someone is either not gen... | John is not rich. | neutral | (![X]:(~wise(X)=>(kind(X)&~tall(X))))&
((?[X]:((~generous(X)<~>~curious(X))))<=>(?[X]:((~funny(X)<~>~wise(X)))))&
(((~kind(fred)<~>~humble(fred)))=>(?[X]:((curious(X)&patient(X)))))&
((?[X]:((~generous(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~strong(X)))))&
(![X]:((old(X)|brave(X))<=>(strong(X)&~old(X))))&
(((funny(mary... | ~rich(john) | [] | null | 0 |
Everyone who is both rich and happy is quiet.
If someone is not happy or not calm then someone is patient or tall.
Everyone who is funny is rich or strong and vice versa.
If lucy is not wise or generous then paul is not patient or not happy and vice versa.
Everyone who is calm is either patient or not strong.
If someon... | Lucy is not happy. | neutral | (![X]:((rich(X)&happy(X))=>quiet(X)))&
((?[X]:((~happy(X)|~calm(X))))=>(?[X]:((patient(X)|tall(X)))))&
(![X]:(funny(X)<=>(rich(X)|strong(X))))&
(((~wise(lucy)|generous(lucy)))<=>((~patient(paul)|~happy(paul))))&
(![X]:(calm(X)=>(patient(X)<~>~strong(X))))&
((?[X]:((~kind(X)|~calm(X))))=>(?[X]:((~tall(X)|quiet(X)))))&
(... | ~happy(lucy) | [] | null | 0 |
Everyone who is both not happy and old is strong.
Everyone who is humble or not generous is not brave or humble and vice versa.
Everyone who is both not wise and curious is rich or creative and vice versa.
If susan is both not brave and not wise then someone is both strong and funny.
Everyone who is either funny or old... | Alice is old. | neutral | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((humble(X)|~generous(X))<=>(~brave(X)|humble(X))))&
(![X]:((~wise(X)&curious(X))<=>(rich(X)|creative(X))))&
(((~brave(susan)&~wise(susan)))=>(?[X]:((strong(X)&funny(X)))))&
(![X]:((funny(X)<~>old(X))=>(~old(X)<~>~humble(X))))&
((?[X]:((~humble(X)|strong(X))))<=>(~patient(l... | old(alice) | [] | null | 0 |
If someone is either not old or not humble then alice is not calm or humble. If susan is not wise then someone is both not patient and old. If someone is not strong or quiet then someone is happy. If someone is not kind or strong then someone is both happy and not rich and vice versa. Everyone who is either humble or n... | Alice is happy. | entailment | ((?[X]:((~old(X)<~>~humble(X))))=>((~calm(alice)|humble(alice))))&
((~wise(susan))=>(?[X]:((~patient(X)&old(X)))))&
((?[X]:((~strong(X)|quiet(X))))=>(?[X]:(happy(X))))&
((?[X]:((~kind(X)|strong(X))))<=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((humble(X)<~>~humble(X))=>(happy(X)&brave(X))))&
((?[X]:((~strong(X)&creative(X)... | happy(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6966321096230331943141970
% SZS output start Proof for 6966321096230331943141970
5. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (brave(X0) & happy(X0))) [input p4]
24. ~happy(alice) [input hypothesis]
34. ! [X0] : ((brave(X0) & happy(X0)) | (humble(X0) <=> ~humble(X0))) [ennf transformation... | 0 |
Everyone who is not tall is either curious or happy. Everyone who is not patient is tall or quiet and vice versa. If someone is not brave then someone is not calm or creative. If lucy is humble or strong then someone is both curious and not strong and vice versa. Everyone who is rich or not funny is either funny or str... | John is not creative. | entailment | (![X]:(~tall(X)=>(curious(X)<~>happy(X))))&
(![X]:(~patient(X)<=>(tall(X)|quiet(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~calm(X)|creative(X)))))&
(((humble(lucy)|strong(lucy)))<=>(?[X]:((curious(X)&~strong(X)))))&
(![X]:((rich(X)|~funny(X))=>(funny(X)<~>strong(X))))&
((?[X]:((happy(X)<~>~patient(X))))=>(?[X]:((brave(X)|cre... | ~creative(john) | [
"p1",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 923541185927404556638693
% SZS output start Proof for 923541185927404556638693
2. ! [X0] : (~patient(X0) <=> (quiet(X0) | tall(X0))) [input p1]
14. ! [X0] : ((wise(X0) | patient(X0)) <=> (old(X0) | creative(X0))) [input p13]
22. tall(john) & ~wise(john) [input p21]
25. creative(john) [inp... | 0 |
Everyone who is both happy and not rich is generous or not kind. If someone is calm or not creative then fred is both brave and tall and vice versa. If someone is either funny or not curious then paul is either not happy or not strong. If lucy is both not generous and not strong then fred is kind or calm and vice versa... | John is rich. | entailment | (![X]:((happy(X)&~rich(X))=>(generous(X)|~kind(X))))&
((?[X]:((calm(X)|~creative(X))))<=>((brave(fred)&tall(fred))))&
((?[X]:((funny(X)<~>~curious(X))))=>((~happy(paul)<~>~strong(paul))))&
(((~generous(lucy)&~strong(lucy)))<=>((kind(fred)|calm(fred))))&
(![X]:((brave(X)|~rich(X))=>(~calm(X)|~rich(X))))&
((tall(alice))<... | rich(john) | [
"p5",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9159953203886915466104034
% SZS output start Proof for 9159953203886915466104034
6. tall(alice) <=> (~patient(john) & rich(john)) [input p5]
17. generous(alice) & ~happy(alice) [input p16]
21. tall(alice) | happy(alice) [input p20]
24. ~rich(john) [input hypothesis]
51. (tall(alice) | (pa... | 0 |
Everyone who is both kind and calm is both not tall and calm.
If someone is either funny or happy then paul is either not tall or not humble.
If someone is either not calm or wise then john is calm or wise and vice versa.
If someone is not creative or not quiet then mary is both not generous and patient.
If someone is ... | Paul is not happy. | contradiction | (![X]:((kind(X)&calm(X))=>(~tall(X)&calm(X))))&
((?[X]:((funny(X)<~>happy(X))))=>((~tall(paul)<~>~humble(paul))))&
((?[X]:((~calm(X)<~>wise(X))))<=>((calm(john)|wise(john))))&
((?[X]:((~creative(X)|~quiet(X))))=>((~generous(mary)&patient(mary))))&
((?[X]:((~patient(X)|~old(X))))<=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:(... | ~happy(paul) | [
"p1",
"p5",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7212201365593203473712973
% SZS output start Proof for 7212201365593203473712973
2. ? [X0] : (funny(X0) <~> happy(X0)) => (~tall(paul) <~> ~humble(paul)) [input p1]
6. ! [X0] : (humble(X0) => (~strong(X0) & humble(X0))) [input p5]
7. ! [X0] : (tall(X0) => ~funny(X0)) [input p6]
9. ! [X0] ... | 0 |
Everyone who is not creative is generous or not rich and vice versa.
If john is not quiet then paul is curious and vice versa.
If someone is both not patient and not quiet then someone is either not kind or not calm and vice versa.
Everyone who is not generous is not humble.
If someone is rich or not funny then alice i... | Mary is not rich. | neutral | (![X]:(~creative(X)<=>(generous(X)|~rich(X))))&
((~quiet(john))<=>(curious(paul)))&
((?[X]:((~patient(X)&~quiet(X))))<=>(?[X]:((~kind(X)<~>~calm(X)))))&
(![X]:(~generous(X)=>~humble(X)))&
((?[X]:((rich(X)|~funny(X))))=>(~happy(alice)))&
(![X]:((patient(X)&~humble(X))=>(~curious(X)|~creative(X))))&
(![X]:((~tall(X)&~hap... | ~rich(mary) | [] | null | 0 |
If susan is either not happy or creative then lucy is not tall or not wise and vice versa.
If mary is either not funny or humble then susan is not patient or funny and vice versa.
If someone is either not calm or kind then someone is either rich or not funny and vice versa.
Everyone who is both not strong and not gener... | Susan is not curious. | neutral | (((~happy(susan)<~>creative(susan)))<=>((~tall(lucy)|~wise(lucy))))&
(((~funny(mary)<~>humble(mary)))<=>((~patient(susan)|funny(susan))))&
((?[X]:((~calm(X)<~>kind(X))))<=>(?[X]:((rich(X)<~>~funny(X)))))&
(![X]:((~strong(X)&~generous(X))=>happy(X)))&
(![X]:((~wise(X)<~>strong(X))<=>(funny(X)|~patient(X))))&
((?[X]:(hap... | ~curious(susan) | [] | null | 0 |
Everyone who is funny is not curious and vice versa. If paul is patient then john is not quiet and vice versa. If someone is brave or not quiet then alice is not happy. Everyone who is both not kind and not rich is tall and vice versa. Everyone who is humble or kind is both not calm and patient. If someone is both pati... | John is humble. | contradiction | (![X]:(funny(X)<=>~curious(X)))&
((patient(paul))<=>(~quiet(john)))&
((?[X]:((brave(X)|~quiet(X))))=>(~happy(alice)))&
(![X]:((~kind(X)&~rich(X))<=>tall(X)))&
(![X]:((humble(X)|kind(X))=>(~calm(X)&patient(X))))&
((?[X]:((patient(X)&~curious(X))))<=>(patient(alice)))&
(![X]:((~old(X)&~generous(X))=>~patient(X)))&
((?[X]... | humble(john) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7025644501011427005432308
% SZS output start Proof for 7025644501011427005432308
5. ! [X0] : ((kind(X0) | humble(X0)) => (patient(X0) & ~calm(X0))) [input p4]
10. ! [X0] : ((calm(X0) <~> strong(X0)) <=> ~strong(X0)) [input p9]
23. humble(john) [input hypothesis]
27. ! [X0] : ((patient(X0)... | 0 |
If someone is either quiet or tall then fred is not brave or not happy and vice versa.
Everyone who is not generous is not happy or strong.
Everyone who is both humble and not patient is not tall and vice versa.
Everyone who is not old is not rich and vice versa.
If someone is both strong and not calm then someone is s... | Fred is rich. | contradiction | ((?[X]:((quiet(X)<~>tall(X))))<=>((~brave(fred)|~happy(fred))))&
(![X]:(~generous(X)=>(~happy(X)|strong(X))))&
(![X]:((humble(X)&~patient(X))<=>~tall(X)))&
(![X]:(~old(X)<=>~rich(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:(strong(X))))&
(((~kind(susan)&~calm(susan)))<=>(?[X]:((kind(X)|funny(X)))))&
(![X]:((~quiet(X)<... | rich(fred) | [
"p2",
"p3",
"p6",
"p7",
"p9",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1698599580178282026961566
% SZS output start Proof for 1698599580178282026961566
3. ! [X0] : ((~patient(X0) & humble(X0)) <=> ~tall(X0)) [input p2]
4. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p3]
7. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => strong(X0)) [input p6]
8. ! [X0] : (generous(X0) <... | 0 |
Everyone who is not calm is tall. Everyone who is quiet or curious is both not kind and not humble. Everyone who is not tall is both not creative and not brave and vice versa. Everyone who is both happy and patient is both old and brave. Everyone who is both not patient and brave is not rich or not brave and vice versa... | Mary is not curious. | neutral | (![X]:(~calm(X)=>tall(X)))&
(![X]:((quiet(X)|curious(X))=>(~kind(X)&~humble(X))))&
(![X]:(~tall(X)<=>(~creative(X)&~brave(X))))&
(![X]:((happy(X)&patient(X))=>(old(X)&brave(X))))&
(![X]:((~patient(X)&brave(X))<=>(~rich(X)|~brave(X))))&
(![X]:((~brave(X)|~wise(X))=>(~happy(X)&strong(X))))&
(![X]:(creative(X)<=>(~generou... | ~curious(mary) | [] | null | 0 |
Everyone who is either not quiet or not funny is either creative or not curious and vice versa.
If someone is either curious or not wise then lucy is both old and generous and vice versa.
If someone is both not calm and not curious then fred is not wise or not creative and vice versa.
If someone is either not kind or h... | John is not calm. | entailment | (![X]:((~quiet(X)<~>~funny(X))<=>(creative(X)<~>~curious(X))))&
((?[X]:((curious(X)<~>~wise(X))))<=>((old(lucy)&generous(lucy))))&
((?[X]:((~calm(X)&~curious(X))))<=>((~wise(fred)|~creative(fred))))&
((?[X]:((~kind(X)<~>happy(X))))<=>(brave(john)))&
(![X]:((~calm(X)&~funny(X))<=>~quiet(X)))&
(![X]:((old(X)&~humble(X))<... | ~calm(john) | [
"p3",
"p4",
"p7",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1498766547402326970986178
% SZS output start Proof for 1498766547402326970986178
4. ? [X0] : (~kind(X0) <~> happy(X0)) <=> brave(john) [input p3]
5. ! [X0] : ((~funny(X0) & ~calm(X0)) <=> ~quiet(X0)) [input p4]
8. ! [X0] : ((~wise(X0) | ~patient(X0)) => ~happy(X0)) [input p7]
11. ! [X0] :... | 0 |
If someone is both humble and old then someone is either not patient or curious and vice versa.
If fred is quiet then paul is kind or not funny.
If fred is not wise then someone is either brave or not happy and vice versa.
Everyone who is both rich and brave is not rich.
If fred is rich then someone is either funny or ... | Susan is tall. | contradiction | ((?[X]:((humble(X)&old(X))))<=>(?[X]:((~patient(X)<~>curious(X)))))&
((quiet(fred))=>((kind(paul)|~funny(paul))))&
((~wise(fred))<=>(?[X]:((brave(X)<~>~happy(X)))))&
(![X]:((rich(X)&brave(X))=>~rich(X)))&
((rich(fred))=>(?[X]:((funny(X)<~>~strong(X)))))&
(![X]:((~funny(X)<~>old(X))=>(old(X)&~kind(X))))&
(((wise(john)|c... | tall(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8568357779696893203240970
% SZS output start Proof for 8568357779696893203240970
16. ! [X0] : ((tall(X0) | ~funny(X0)) <=> (~wise(X0) & wise(X0))) [input p15]
25. tall(susan) [input hypothesis]
72. ! [X0] : (((tall(X0) | ~funny(X0)) | (wise(X0) | ~wise(X0))) & ((~wise(X0) & wise(X0)) | (~... | 0 |
If john is old or not generous then lucy is not creative or not generous.
Everyone who is strong or not funny is rich or not kind and vice versa.
Everyone who is either patient or brave is creative or strong and vice versa.
If paul is either creative or not brave then alice is either creative or not strong.
Everyone wh... | John is not calm. | neutral | (((old(john)|~generous(john)))=>((~creative(lucy)|~generous(lucy))))&
(![X]:((strong(X)|~funny(X))<=>(rich(X)|~kind(X))))&
(![X]:((patient(X)<~>brave(X))<=>(creative(X)|strong(X))))&
(((creative(paul)<~>~brave(paul)))=>((creative(alice)<~>~strong(alice))))&
(![X]:((wise(X)&patient(X))<=>(happy(X)&~tall(X))))&
(![X]:((c... | ~calm(john) | [] | null | 0 |
If mary is both not wise and not curious then someone is either not strong or not generous.
Everyone who is funny or not curious is wise and vice versa.
Everyone who is rich is not wise or not patient.
Everyone who is humble is either not rich or not old.
Everyone who is either not creative or old is humble or funny an... | Mary is not tall. | neutral | (((~wise(mary)&~curious(mary)))=>(?[X]:((~strong(X)<~>~generous(X)))))&
(![X]:((funny(X)|~curious(X))<=>wise(X)))&
(![X]:(rich(X)=>(~wise(X)|~patient(X))))&
(![X]:(humble(X)=>(~rich(X)<~>~old(X))))&
(![X]:((~creative(X)<~>old(X))<=>(humble(X)|funny(X))))&
(![X]:((~humble(X)&~curious(X))<=>(tall(X)&~strong(X))))&
((~qui... | ~tall(mary) | [] | null | 0 |
Everyone who is not strong is both not generous and not rich.
If lucy is both curious and not calm then lucy is strong.
Everyone who is both curious and rich is both not brave and funny.
If fred is generous or strong then fred is creative or quiet and vice versa.
Everyone who is both humble and old is rich.
Everyone wh... | Paul is not funny. | neutral | (![X]:(~strong(X)=>(~generous(X)&~rich(X))))&
(((curious(lucy)&~calm(lucy)))=>(strong(lucy)))&
(![X]:((curious(X)&rich(X))=>(~brave(X)&funny(X))))&
(((generous(fred)|strong(fred)))<=>((creative(fred)|quiet(fred))))&
(![X]:((humble(X)&old(X))=>rich(X)))&
(![X]:((rich(X)<~>funny(X))<=>~brave(X)))&
((?[X]:(kind(X)))<=>(?[... | ~funny(paul) | [] | null | 0 |
Everyone who is either curious or calm is not kind or not curious and vice versa.
Everyone who is either curious or quiet is not curious or not old and vice versa.
Everyone who is not old is both strong and creative and vice versa.
If mary is not funny or kind then alice is both not calm and tall.
Everyone who is old i... | Lucy is patient. | entailment | (![X]:((curious(X)<~>calm(X))<=>(~kind(X)|~curious(X))))&
(![X]:((curious(X)<~>quiet(X))<=>(~curious(X)|~old(X))))&
(![X]:(~old(X)<=>(strong(X)&creative(X))))&
(((~funny(mary)|kind(mary)))=>((~calm(alice)&tall(alice))))&
(![X]:(old(X)<=>(rich(X)&brave(X))))&
(![X]:((curious(X)|generous(X))=>(~rich(X)&calm(X))))&
((~gen... | patient(lucy) | [
"p1",
"p2",
"p4",
"p5",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3347447593807103159525358
% SZS output start Proof for 3347447593807103159525358
2. ! [X0] : ((curious(X0) <~> quiet(X0)) <=> (~old(X0) | ~curious(X0))) [input p1]
3. ! [X0] : (~old(X0) <=> (creative(X0) & strong(X0))) [input p2]
5. ! [X0] : (old(X0) <=> (brave(X0) & rich(X0))) [input p4]... | 0 |
If someone is quiet or not humble then someone is both curious and not calm.
If someone is not wise then paul is curious.
If mary is not old or not rich then someone is patient.
Everyone who is funny or not happy is not curious or not tall.
If someone is rich or calm then someone is both not brave and not kind and vice... | Lucy is curious. | neutral | ((?[X]:((quiet(X)|~humble(X))))=>(?[X]:((curious(X)&~calm(X)))))&
((?[X]:(~wise(X)))=>(curious(paul)))&
(((~old(mary)|~rich(mary)))=>(?[X]:(patient(X))))&
(![X]:((funny(X)|~happy(X))=>(~curious(X)|~tall(X))))&
((?[X]:((rich(X)|calm(X))))<=>(?[X]:((~brave(X)&~kind(X)))))&
((?[X]:(~calm(X)))=>(?[X]:((rich(X)&~patient(X))... | curious(lucy) | [] | null | 0 |
If susan is either not happy or creative then lucy is not tall or not wise and vice versa.
If mary is either not funny or humble then susan is not patient or funny and vice versa.
If someone is either not calm or kind then someone is either rich or not funny and vice versa.
Everyone who is both not strong and not gener... | John is rich. | entailment | (((~happy(susan)<~>creative(susan)))<=>((~tall(lucy)|~wise(lucy))))&
(((~funny(mary)<~>humble(mary)))<=>((~patient(susan)|funny(susan))))&
((?[X]:((~calm(X)<~>kind(X))))<=>(?[X]:((rich(X)<~>~funny(X)))))&
(![X]:((~strong(X)&~generous(X))=>happy(X)))&
(![X]:((~wise(X)<~>strong(X))<=>(funny(X)|~patient(X))))&
((?[X]:(hap... | rich(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2757517877314076507634537
% SZS output start Proof for 2757517877314076507634537
13. ! [X0] : ((wise(X0) | ~rich(X0)) <=> rich(X0)) [input p12]
25. ~rich(john) [input hypothesis]
64. ! [X0] : (((wise(X0) | ~rich(X0)) | ~rich(X0)) & (rich(X0) | (~wise(X0) & rich(X0)))) [nnf transformation ... | 0 |
Everyone who is both strong and not creative is rich and vice versa.
Everyone who is generous is patient or humble and vice versa.
Everyone who is not strong or not humble is creative or kind and vice versa.
Everyone who is creative or not funny is not humble or old and vice versa.
Everyone who is both curious and not ... | Susan is creative. | entailment | (![X]:((strong(X)&~creative(X))<=>rich(X)))&
(![X]:(generous(X)<=>(patient(X)|humble(X))))&
(![X]:((~strong(X)|~humble(X))<=>(creative(X)|kind(X))))&
(![X]:((creative(X)|~funny(X))<=>(~humble(X)|old(X))))&
(![X]:((curious(X)&~humble(X))<=>(~quiet(X)<~>~strong(X))))&
(((~calm(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|funny... | creative(susan) | [
"p6",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1026101951364456597314556
% SZS output start Proof for 1026101951364456597314556
7. ! [X0] : ((generous(X0) <~> ~generous(X0)) => (~generous(X0) | curious(X0))) [input p6]
14. ! [X0] : ((~funny(X0) <~> curious(X0)) <=> (~funny(X0) <~> creative(X0))) [input p13]
20. ~rich(susan) & generous... | 0 |
Everyone who is either not wise or strong is not happy or calm.
If fred is brave then lucy is both not old and wise.
If lucy is not kind or rich then someone is both old and not creative and vice versa.
Everyone who is either not generous or not curious is either tall or calm and vice versa.
Everyone who is not calm or... | Paul is curious. | contradiction | (![X]:((~wise(X)<~>strong(X))=>(~happy(X)|calm(X))))&
((brave(fred))=>((~old(lucy)&wise(lucy))))&
(((~kind(lucy)|rich(lucy)))<=>(?[X]:((old(X)&~creative(X)))))&
(![X]:((~generous(X)<~>~curious(X))<=>(tall(X)<~>calm(X))))&
(![X]:((~calm(X)|~rich(X))<=>(tall(X)|humble(X))))&
(![X]:((~curious(X)&tall(X))=>~kind(X)))&
(![X... | curious(paul) | [
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2389493843747643643460911
% SZS output start Proof for 2389493843747643643460911
8. ! [X0] : ((funny(X0) & ~curious(X0)) <=> (curious(X0) <~> ~patient(X0))) [input p7]
22. ~strong(paul) & patient(paul) [input p21]
24. curious(paul) [input hypothesis]
47. ! [X0] : (((funny(X0) & ~curious(X... | 0 |
If alice is either not rich or tall then someone is both funny and creative and vice versa. Everyone who is both not funny and not wise is either not funny or creative and vice versa. If paul is either not calm or tall then fred is both creative and quiet. If lucy is either humble or not curious then susan is either no... | John is not happy. | contradiction | (((~rich(alice)<~>tall(alice)))<=>(?[X]:((funny(X)&creative(X)))))&
(![X]:((~funny(X)&~wise(X))<=>(~funny(X)<~>creative(X))))&
(((~calm(paul)<~>tall(paul)))=>((creative(fred)&quiet(fred))))&
(((humble(lucy)<~>~curious(lucy)))<=>((~brave(susan)<~>rich(susan))))&
(![X]:((~patient(X)&old(X))=>(tall(X)&humble(X))))&
(![X]:... | ~happy(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 320595427185705900281000
% SZS output start Proof for 320595427185705900281000
15. ! [X0] : (humble(X0) <=> (~happy(X0) & ~humble(X0))) [input p14]
24. ~happy(john) [input hypothesis]
55. ! [X0] : ((humble(X0) | (happy(X0) | humble(X0))) & ((~happy(X0) & ~humble(X0)) | ~humble(X0))) [nnf ... | 0 |
If fred is not tall or rich then someone is both not humble and wise and vice versa. Everyone who is both quiet and not patient is both wise and brave and vice versa. Everyone who is either not kind or not funny is either not strong or not creative. If paul is both old and not calm then susan is humble. Everyone who is... | Alice is not quiet. | contradiction | (((~tall(fred)|rich(fred)))<=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:((quiet(X)&~patient(X))<=>(wise(X)&brave(X))))&
(![X]:((~kind(X)<~>~funny(X))=>(~strong(X)<~>~creative(X))))&
(((old(paul)&~calm(paul)))=>(humble(susan)))&
(![X]:((funny(X)<~>~brave(X))<=>~curious(X)))&
((?[X]:((~generous(X)&~wise(X))))<=>(?[X]:((~humb... | ~quiet(alice) | [
"p4",
"p7",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7873646584045663324832761
% SZS output start Proof for 7873646584045663324832761
5. ! [X0] : ((funny(X0) <~> ~brave(X0)) <=> ~curious(X0)) [input p4]
8. ? [X0] : (calm(X0) | ~quiet(X0)) => brave(paul) [input p7]
9. ! [X0] : ((funny(X0) & curious(X0)) <=> (patient(X0) <~> generous(X0))) [i... | 0 |
If mary is not funny or brave then someone is either tall or not humble and vice versa.
Everyone who is both not kind and calm is either tall or quiet and vice versa.
Everyone who is not kind is creative.
Everyone who is generous is either not tall or strong and vice versa.
If someone is both strong and not calm then s... | Alice is not happy. | neutral | (((~funny(mary)|brave(mary)))<=>(?[X]:((tall(X)<~>~humble(X)))))&
(![X]:((~kind(X)&calm(X))<=>(tall(X)<~>quiet(X))))&
(![X]:(~kind(X)=>creative(X)))&
(![X]:(generous(X)<=>(~tall(X)<~>strong(X))))&
((?[X]:((strong(X)&~calm(X))))=>(?[X]:((~tall(X)|wise(X)))))&
((?[X]:((~happy(X)&brave(X))))<=>(?[X]:((~happy(X)<~>~wise(X)... | ~happy(alice) | [] | null | 0 |
Everyone who is either not strong or happy is either not strong or tall and vice versa.
Everyone who is both creative and not funny is calm and vice versa.
If paul is old or not funny then lucy is not funny or not tall.
If paul is either not patient or strong then fred is patient.
If fred is both brave and not quiet th... | John is creative. | contradiction | (![X]:((~strong(X)<~>happy(X))<=>(~strong(X)<~>tall(X))))&
(![X]:((creative(X)&~funny(X))<=>calm(X)))&
(((old(paul)|~funny(paul)))=>((~funny(lucy)|~tall(lucy))))&
(((~patient(paul)<~>strong(paul)))=>(patient(fred)))&
(((brave(fred)&~quiet(fred)))=>(?[X]:(humble(X))))&
((~quiet(paul))<=>(?[X]:((strong(X)|rich(X)))))&
((... | creative(john) | [
"p0",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8170054510848225476284265
% SZS output start Proof for 8170054510848225476284265
1. ! [X0] : ((~strong(X0) <~> happy(X0)) <=> (~strong(X0) <~> tall(X0))) [input p0]
10. ! [X0] : ((creative(X0) <~> tall(X0)) => (humble(X0) & happy(X0))) [input p9]
18. ~happy(john) [input p17]
24. creative(... | 0 |
Everyone who is both strong and not tall is generous. If fred is either not generous or quiet then lucy is not strong. Everyone who is either not creative or humble is either quiet or not patient and vice versa. If someone is either strong or not curious then john is not strong and vice versa. If someone is not kind or... | Lucy is kind. | entailment | (![X]:((strong(X)&~tall(X))=>generous(X)))&
(((~generous(fred)<~>quiet(fred)))=>(~strong(lucy)))&
(![X]:((~creative(X)<~>humble(X))<=>(quiet(X)<~>~patient(X))))&
((?[X]:((strong(X)<~>~curious(X))))<=>(~strong(john)))&
((?[X]:((~kind(X)|~patient(X))))=>((~rich(lucy)&tall(lucy))))&
((?[X]:((~tall(X)<~>~creative(X))))=>(?... | kind(lucy) | [
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 306736462754671161153137
% SZS output start Proof for 306736462754671161153137
7. ! [X0] : ((~calm(X0) & kind(X0)) <=> (brave(X0) | ~funny(X0))) [input p6]
20. ~funny(lucy) [input p19]
25. ~kind(lucy) [input hypothesis]
46. ! [X0] : (((~calm(X0) & kind(X0)) | (~brave(X0) & funny(X0))) & (... | 0 |
Everyone who is creative is either tall or not rich.
Everyone who is humble or not creative is both strong and not old and vice versa.
Everyone who is either old or not old is both curious and not tall.
Everyone who is either not quiet or not generous is either calm or humble and vice versa.
If someone is both not humb... | Lucy is not generous. | contradiction | (![X]:(creative(X)=>(tall(X)<~>~rich(X))))&
(![X]:((humble(X)|~creative(X))<=>(strong(X)&~old(X))))&
(![X]:((old(X)<~>~old(X))=>(curious(X)&~tall(X))))&
(![X]:((~quiet(X)<~>~generous(X))<=>(calm(X)<~>humble(X))))&
((?[X]:((~humble(X)&~funny(X))))=>((kind(paul)<~>curious(paul))))&
((?[X]:((happy(X)&brave(X))))=>(~funny(... | ~generous(lucy) | [
"p2",
"p9",
"p10",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3521385101770173310713180
% SZS output start Proof for 3521385101770173310713180
3. ! [X0] : ((old(X0) <~> ~old(X0)) => (~tall(X0) & curious(X0))) [input p2]
10. ? [X0] : (patient(X0) <~> tall(X0)) <=> ~rich(lucy) [input p9]
11. ! [X0] : ((~old(X0) | ~rich(X0)) <=> generous(X0)) [input p1... | 0 |
Everyone who is not calm is both not calm and not curious and vice versa.
If someone is tall then someone is not happy.
If someone is not humble then paul is both brave and not tall.
If someone is not humble then someone is both patient and not curious and vice versa.
Everyone who is not generous or kind is not brave a... | Fred is curious. | entailment | (![X]:(~calm(X)<=>(~calm(X)&~curious(X))))&
((?[X]:(tall(X)))=>(?[X]:(~happy(X))))&
((?[X]:(~humble(X)))=>((brave(paul)&~tall(paul))))&
((?[X]:(~humble(X)))<=>(?[X]:((patient(X)&~curious(X)))))&
(![X]:((~generous(X)|kind(X))<=>~brave(X)))&
(![X]:((kind(X)|wise(X))<=>old(X)))&
(![X]:((~curious(X)|~rich(X))=>(~brave(X)|w... | curious(fred) | [
"p4",
"p5",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5795747433674582155667326
% SZS output start Proof for 5795747433674582155667326
5. ! [X0] : ((kind(X0) | ~generous(X0)) <=> ~brave(X0)) [input p4]
6. ! [X0] : ((wise(X0) | kind(X0)) <=> old(X0)) [input p5]
8. ! [X0] : ((~old(X0) & ~brave(X0)) <=> ~brave(X0)) [input p7]
13. ! [X0] : ((~ta... | 0 |
Everyone who is brave or not calm is rich.
If someone is both not quiet and not strong then someone is creative or generous and vice versa.
Everyone who is either not brave or happy is curious or not old.
If lucy is not funny or not humble then someone is both not kind and creative.
Everyone who is creative or not tall... | Fred is not tall. | entailment | (![X]:((brave(X)|~calm(X))=>rich(X)))&
((?[X]:((~quiet(X)&~strong(X))))<=>(?[X]:((creative(X)|generous(X)))))&
(![X]:((~brave(X)<~>happy(X))=>(curious(X)|~old(X))))&
(((~funny(lucy)|~humble(lucy)))=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:((creative(X)|~tall(X))<=>(quiet(X)|~kind(X))))&
(![X]:((~strong(X)&creative(X))<... | ~tall(fred) | [
"p1",
"p4",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1936108892301456079165432
% SZS output start Proof for 1936108892301456079165432
2. ? [X0] : (~strong(X0) & ~quiet(X0)) <=> ? [X0] : (generous(X0) | creative(X0)) [input p1]
5. ! [X0] : ((~tall(X0) | creative(X0)) <=> (~kind(X0) | quiet(X0))) [input p4]
16. ! [X0] : (quiet(X0) <=> (brave(... | 0 |
Everyone who is either quiet or not creative is wise or tall.
Everyone who is both not patient and rich is humble.
Everyone who is either calm or humble is both not generous and not old and vice versa.
If someone is either not strong or not patient then someone is both not patient and not curious and vice versa.
If sus... | John is not old. | entailment | (![X]:((quiet(X)<~>~creative(X))=>(wise(X)|tall(X))))&
(![X]:((~patient(X)&rich(X))=>humble(X)))&
(![X]:((calm(X)<~>humble(X))<=>(~generous(X)&~old(X))))&
((?[X]:((~strong(X)<~>~patient(X))))<=>(?[X]:((~patient(X)&~curious(X)))))&
(((kind(susan)|~strong(susan)))<=>((~wise(susan)|generous(susan))))&
(![X]:(~curious(X)=>... | ~old(john) | [
"p2",
"p11",
"p13",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4874256060700960707500140
% SZS output start Proof for 4874256060700960707500140
3. ! [X0] : ((calm(X0) <~> humble(X0)) <=> (~old(X0) & ~generous(X0))) [input p2]
12. ! [X0] : ((~humble(X0) | ~patient(X0)) => brave(X0)) [input p11]
14. ! [X0] : (humble(X0) => ~brave(X0)) [input p13]
15. !... | 0 |
Everyone who is not brave or not patient is either curious or not patient. Everyone who is rich is both rich and not strong. Everyone who is not strong is not curious or not brave and vice versa. Everyone who is either not funny or old is both tall and patient. Everyone who is generous is not funny and vice versa. If s... | Lucy is not kind. | contradiction | (![X]:((~brave(X)|~patient(X))=>(curious(X)<~>~patient(X))))&
(![X]:(rich(X)=>(rich(X)&~strong(X))))&
(![X]:(~strong(X)<=>(~curious(X)|~brave(X))))&
(![X]:((~funny(X)<~>old(X))=>(tall(X)&patient(X))))&
(![X]:(generous(X)<=>~funny(X)))&
((?[X]:(~patient(X)))<=>(?[X]:(old(X))))&
(![X]:((~brave(X)&~kind(X))<=>(creative(X)... | ~kind(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p9",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7628750380518898342676618
% SZS output start Proof for 7628750380518898342676618
2. ! [X0] : (rich(X0) => (~strong(X0) & rich(X0))) [input p1]
3. ! [X0] : (~strong(X0) <=> (~brave(X0) | ~curious(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> old(X0)) => (patient(X0) & tall(X0))) [input p3]... | 0 |
If alice is not humble or calm then someone is either creative or not strong. If someone is both not tall and not strong then someone is either generous or wise. Everyone who is old is both humble and happy and vice versa. If someone is both generous and not funny then someone is either calm or generous. If someone is ... | Susan is not tall. | neutral | (((~humble(alice)|calm(alice)))=>(?[X]:((creative(X)<~>~strong(X)))))&
((?[X]:((~tall(X)&~strong(X))))=>(?[X]:((generous(X)<~>wise(X)))))&
(![X]:(old(X)<=>(humble(X)&happy(X))))&
((?[X]:((generous(X)&~funny(X))))=>(?[X]:((calm(X)<~>generous(X)))))&
((?[X]:((wise(X)<~>~old(X))))<=>(?[X]:((tall(X)|~generous(X)))))&
(![X]... | ~tall(susan) | [] | null | 0 |
If someone is not old or calm then mary is either not patient or not quiet.
If someone is not tall then mary is not creative or not rich.
Everyone who is both humble and rich is either old or patient.
Everyone who is not happy or not tall is either strong or quiet and vice versa.
If paul is generous then fred is either... | Mary is not rich. | neutral | ((?[X]:((~old(X)|calm(X))))=>((~patient(mary)<~>~quiet(mary))))&
((?[X]:(~tall(X)))=>((~creative(mary)|~rich(mary))))&
(![X]:((humble(X)&rich(X))=>(old(X)<~>patient(X))))&
(![X]:((~happy(X)|~tall(X))<=>(strong(X)<~>quiet(X))))&
((generous(paul))<=>((~wise(fred)<~>patient(fred))))&
(((~humble(mary)<~>generous(mary)))=>(... | ~rich(mary) | [] | null | 0 |
Everyone who is both not rich and not happy is tall or not generous.
Everyone who is not rich is both not generous and old and vice versa.
Everyone who is old or generous is either old or not quiet and vice versa.
If someone is both rich and generous then someone is both patient and tall and vice versa.
If someone is n... | Susan is kind. | neutral | (![X]:((~rich(X)&~happy(X))=>(tall(X)|~generous(X))))&
(![X]:(~rich(X)<=>(~generous(X)&old(X))))&
(![X]:((old(X)|generous(X))<=>(old(X)<~>~quiet(X))))&
((?[X]:((rich(X)&generous(X))))<=>(?[X]:((patient(X)&tall(X)))))&
((?[X]:(~calm(X)))=>(?[X]:((rich(X)|quiet(X)))))&
((?[X]:((~quiet(X)&~wise(X))))<=>(happy(lucy)))&
(![... | kind(susan) | [] | null | 0 |
Everyone who is either funny or curious is both creative and not old and vice versa. Everyone who is both old and kind is both generous and not curious. If someone is not calm then fred is calm or not humble. Everyone who is both not calm and wise is brave or not wise. If someone is not happy then someone is either wis... | Paul is old. | entailment | (![X]:((funny(X)<~>curious(X))<=>(creative(X)&~old(X))))&
(![X]:((old(X)&kind(X))=>(generous(X)&~curious(X))))&
((?[X]:(~calm(X)))=>((calm(fred)|~humble(fred))))&
(![X]:((~calm(X)&wise(X))=>(brave(X)|~wise(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((wise(X)<~>old(X)))))&
(![X]:((~rich(X)&patient(X))<=>(~generous(X)&generous(X... | old(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5262385271663670322116992
% SZS output start Proof for 5262385271663670322116992
14. ! [X0] : ((brave(X0) | ~old(X0)) <=> (old(X0) & curious(X0))) [input p13]
24. ~old(paul) [input hypothesis]
61. ! [X0] : (((brave(X0) | ~old(X0)) | (~old(X0) | ~curious(X0))) & ((old(X0) & curious(X0)) | ... | 0 |
If someone is not funny or not happy then someone is not patient or not rich.
Everyone who is both kind and calm is happy and vice versa.
Everyone who is quiet is both funny and patient.
If fred is either not creative or not rich then paul is funny.
If someone is generous or not kind then susan is both not strong and n... | Susan is not curious. | entailment | ((?[X]:((~funny(X)|~happy(X))))=>(?[X]:((~patient(X)|~rich(X)))))&
(![X]:((kind(X)&calm(X))<=>happy(X)))&
(![X]:(quiet(X)=>(funny(X)&patient(X))))&
(((~creative(fred)<~>~rich(fred)))=>(funny(paul)))&
((?[X]:((generous(X)|~kind(X))))<=>((~strong(susan)&~quiet(susan))))&
(![X]:(~curious(X)=>(happy(X)|~kind(X))))&
(((~qui... | ~curious(susan) | [
"p10",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2052778347558703932195357
% SZS output start Proof for 2052778347558703932195357
11. ! [X0] : ((happy(X0) | ~old(X0)) <=> (~happy(X0) | humble(X0))) [input p10]
12. ! [X0] : ((happy(X0) <~> ~wise(X0)) <=> (humble(X0) & ~generous(X0))) [input p11]
16. ! [X0] : ((~humble(X0) <~> ~curious(X0... | 0 |
If lucy is not patient or kind then someone is both kind and not wise. Everyone who is wise or not happy is not old or patient. If lucy is both calm and rich then someone is old or quiet and vice versa. If paul is kind or rich then lucy is both not strong and happy and vice versa. Everyone who is patient is both not br... | Susan is not creative. | neutral | (((~patient(lucy)|kind(lucy)))=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:((wise(X)|~happy(X))=>(~old(X)|patient(X))))&
(((calm(lucy)&rich(lucy)))<=>(?[X]:((old(X)|quiet(X)))))&
(((kind(paul)|rich(paul)))<=>((~strong(lucy)&happy(lucy))))&
(![X]:(patient(X)=>(~brave(X)&~curious(X))))&
(![X]:((calm(X)&tall(X))=>(~wise(X)<~>wis... | ~creative(susan) | [] | null | 0 |
If someone is not humble or funny then john is brave and vice versa.
If lucy is calm then someone is both quiet and not patient.
Everyone who is either kind or not tall is not tall or not creative.
Everyone who is not quiet or kind is both humble and quiet and vice versa.
Everyone who is not happy is generous.
Everyone... | Lucy is not old. | entailment | ((?[X]:((~humble(X)|funny(X))))<=>(brave(john)))&
((calm(lucy))=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:((kind(X)<~>~tall(X))=>(~tall(X)|~creative(X))))&
(![X]:((~quiet(X)|kind(X))<=>(humble(X)&quiet(X))))&
(![X]:(~happy(X)=>generous(X)))&
(![X]:((creative(X)|~patient(X))=>kind(X)))&
(![X]:((curious(X)&~funny(X))=>(~g... | ~old(lucy) | [
"p2",
"p3",
"p5",
"p10",
"p11",
"p15",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 128942449611634145266594
% SZS output start Proof for 128942449611634145266594
3. ! [X0] : ((kind(X0) <~> ~tall(X0)) => (~creative(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((kind(X0) | ~quiet(X0)) <=> (quiet(X0) & humble(X0))) [input p3]
6. ! [X0] : ((~patient(X0) | creative(X0)) => kind(... | 0 |
If someone is either not strong or brave then someone is both not wise and humble.
Everyone who is both not funny and strong is wise or quiet and vice versa.
If paul is brave or not tall then someone is brave or happy.
Everyone who is not curious is patient and vice versa.
Everyone who is not generous is curious and vi... | Lucy is not quiet. | contradiction | ((?[X]:((~strong(X)<~>brave(X))))=>(?[X]:((~wise(X)&humble(X)))))&
(![X]:((~funny(X)&strong(X))<=>(wise(X)|quiet(X))))&
(((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient(X)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative... | ~quiet(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2847163711787545137965720
% SZS output start Proof for 2847163711787545137965720
2. ! [X0] : ((strong(X0) & ~funny(X0)) <=> (quiet(X0) | wise(X0))) [input p1]
4. ! [X0] : (~curious(X0) <=> patient(X0)) [input p3]
6. ! [X0] : ((old(X0) | ~strong(X0)) => (~tall(X0) & funny(X0))) [input p5]
... | 0 |
Everyone who is either not happy or strong is either not happy or happy and vice versa.
Everyone who is either not kind or not creative is both not tall and funny and vice versa.
Everyone who is not humble or not calm is both old and calm.
Everyone who is either strong or not patient is not patient or not kind.
Everyon... | Lucy is humble. | entailment | (![X]:((~happy(X)<~>strong(X))<=>(~happy(X)<~>happy(X))))&
(![X]:((~kind(X)<~>~creative(X))<=>(~tall(X)&funny(X))))&
(![X]:((~humble(X)|~calm(X))=>(old(X)&calm(X))))&
(![X]:((strong(X)<~>~patient(X))=>(~patient(X)|~kind(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(~patient(X)&~wise(X))))&
((old(mary))=>(?[X]:((~rich(X)<~>~b... | humble(lucy) | [
"p0",
"p2",
"p3",
"p8",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3538234068074484778218258
% SZS output start Proof for 3538234068074484778218258
1. ! [X0] : ((~happy(X0) <~> strong(X0)) <=> (~happy(X0) <~> happy(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | ~humble(X0)) => (calm(X0) & old(X0))) [input p2]
4. ! [X0] : ((strong(X0) <~> ~patient(X0)) => (~k... | 0 |
If someone is either patient or tall then someone is not kind and vice versa.
Everyone who is both strong and patient is both not strong and calm and vice versa.
If susan is not happy then someone is both happy and curious.
Everyone who is not strong or not rich is either curious or calm.
If fred is either rich or not ... | Alice is not patient. | entailment | ((?[X]:((patient(X)<~>tall(X))))<=>(?[X]:(~kind(X))))&
(![X]:((strong(X)&patient(X))<=>(~strong(X)&calm(X))))&
((~happy(susan))=>(?[X]:((happy(X)&curious(X)))))&
(![X]:((~strong(X)|~rich(X))=>(curious(X)<~>calm(X))))&
(((rich(fred)<~>~quiet(fred)))<=>((curious(paul)&rich(paul))))&
(![X]:((~tall(X)|creative(X))<=>~tall(... | ~patient(alice) | [
"p1",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7725338953054099246811148
% SZS output start Proof for 7725338953054099246811148
2. ! [X0] : ((patient(X0) & strong(X0)) <=> (calm(X0) & ~strong(X0))) [input p1]
14. ! [X0] : ((humble(X0) | ~calm(X0)) <=> (~creative(X0) & brave(X0))) [input p13]
24. ~brave(alice) & kind(alice) [input p23]... | 0 |
If alice is either strong or not kind then john is not calm and vice versa. Everyone who is not brave is not kind or not humble and vice versa. Everyone who is funny is strong or rich and vice versa. If lucy is old or happy then susan is kind and vice versa. Everyone who is not curious is not strong and vice versa. Eve... | Susan is not generous. | contradiction | (((strong(alice)<~>~kind(alice)))<=>(~calm(john)))&
(![X]:(~brave(X)<=>(~kind(X)|~humble(X))))&
(![X]:(funny(X)<=>(strong(X)|rich(X))))&
(((old(lucy)|happy(lucy)))<=>(kind(susan)))&
(![X]:(~curious(X)<=>~strong(X)))&
(![X]:((wise(X)|~humble(X))<=>~creative(X)))&
(![X]:((~brave(X)<~>patient(X))<=>quiet(X)))&
(((~brave(l... | ~generous(susan) | [
"p1",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5359198843143486579888593
% SZS output start Proof for 5359198843143486579888593
2. ! [X0] : (~brave(X0) <=> (~humble(X0) | ~kind(X0))) [input p1]
7. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> quiet(X0)) [input p6]
11. ! [X0] : ((kind(X0) & ~quiet(X0)) <=> (quiet(X0) <~> patient(X0))) [in... | 0 |
If someone is wise then someone is not tall or rich.
Everyone who is creative is both not tall and not brave.
If someone is both not wise and funny then someone is both not strong and not old.
Everyone who is both not kind and happy is not strong and vice versa.
Everyone who is not generous is both not old and not stro... | Mary is not old. | neutral | ((?[X]:(wise(X)))=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:(creative(X)=>(~tall(X)&~brave(X))))&
((?[X]:((~wise(X)&funny(X))))=>(?[X]:((~strong(X)&~old(X)))))&
(![X]:((~kind(X)&happy(X))<=>~strong(X)))&
(![X]:(~generous(X)<=>(~old(X)&~strong(X))))&
((brave(fred))<=>((patient(mary)|~generous(mary))))&
(((~wise(john)&rich(jo... | ~old(mary) | [] | null | 0 |
Everyone who is strong is either kind or not generous and vice versa. Everyone who is not brave is not creative and vice versa. Everyone who is either not calm or happy is brave and vice versa. If mary is not patient or not creative then someone is both not curious and not humble. If alice is not brave or not funny the... | Susan is not creative. | entailment | (![X]:(strong(X)<=>(kind(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>~creative(X)))&
(![X]:((~calm(X)<~>happy(X))<=>brave(X)))&
(((~patient(mary)|~creative(mary)))=>(?[X]:((~curious(X)&~humble(X)))))&
(((~brave(alice)|~funny(alice)))=>((~patient(lucy)<~>curious(lucy))))&
(![X]:((creative(X)|funny(X))<=>(humble(X)&strong(X... | ~creative(susan) | [
"p1",
"p5",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 541861977778458195570389
% SZS output start Proof for 541861977778458195570389
2. ! [X0] : (~brave(X0) <=> ~creative(X0)) [input p1]
6. ! [X0] : ((funny(X0) | creative(X0)) <=> (strong(X0) & humble(X0))) [input p5]
12. ! [X0] : ((strong(X0) <~> ~brave(X0)) => kind(X0)) [input p11]
17. ~ki... | 0 |
If someone is not old or humble then mary is either kind or curious and vice versa.
If mary is quiet then lucy is generous.
Everyone who is either not strong or brave is either patient or quiet and vice versa.
If someone is not creative then someone is not curious.
Everyone who is both humble and not rich is not patien... | John is not brave. | entailment | ((?[X]:((~old(X)|humble(X))))<=>((kind(mary)<~>curious(mary))))&
((quiet(mary))=>(generous(lucy)))&
(![X]:((~strong(X)<~>brave(X))<=>(patient(X)<~>quiet(X))))&
((?[X]:(~creative(X)))=>(?[X]:(~curious(X))))&
(![X]:((humble(X)&~rich(X))=>~patient(X)))&
((?[X]:((rich(X)|funny(X))))<=>((~strong(alice)|generous(alice))))&
(... | ~brave(john) | [
"p7",
"p8",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 552761658018157525319452
% SZS output start Proof for 552761658018157525319452
8. ! [X0] : (kind(X0) <=> ~creative(X0)) [input p7]
9. ! [X0] : ((strong(X0) <~> humble(X0)) <=> ~calm(X0)) [input p8]
12. ! [X0] : ((~creative(X0) | ~quiet(X0)) => (humble(X0) & strong(X0))) [input p11]
14. ! ... | 0 |
Everyone who is strong is either not creative or tall.
Everyone who is both not strong and generous is both creative and quiet.
Everyone who is both not tall and kind is both not curious and not rich.
Everyone who is not strong is humble or curious.
If someone is not old or not tall then john is either not generous or ... | John is not brave. | neutral | (![X]:(strong(X)=>(~creative(X)<~>tall(X))))&
(![X]:((~strong(X)&generous(X))=>(creative(X)&quiet(X))))&
(![X]:((~tall(X)&kind(X))=>(~curious(X)&~rich(X))))&
(![X]:(~strong(X)=>(humble(X)|curious(X))))&
((?[X]:((~old(X)|~tall(X))))=>((~generous(john)<~>~curious(john))))&
((?[X]:((creative(X)&rich(X))))=>((old(susan)&ki... | ~brave(john) | [] | null | 0 |
Everyone who is not tall or humble is not generous and vice versa. Everyone who is not kind is patient or not quiet and vice versa. If someone is not generous then fred is either not patient or not kind and vice versa. If someone is not generous then paul is both calm and not tall. Everyone who is not old is calm or no... | Paul is quiet. | entailment | (![X]:((~tall(X)|humble(X))<=>~generous(X)))&
(![X]:(~kind(X)<=>(patient(X)|~quiet(X))))&
((?[X]:(~generous(X)))<=>((~patient(fred)<~>~kind(fred))))&
((?[X]:(~generous(X)))=>((calm(paul)&~tall(paul))))&
(![X]:(~old(X)<=>(calm(X)|~rich(X))))&
((?[X]:(~patient(X)))<=>((creative(alice)|~funny(alice))))&
((?[X]:((old(X)<~>... | quiet(paul) | [
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 285830968762874329630916
% SZS output start Proof for 285830968762874329630916
10. ! [X0] : ((~patient(X0) | ~wise(X0)) => (kind(X0) & generous(X0))) [input p9]
15. ! [X0] : ((~wise(X0) | ~patient(X0)) => ~generous(X0)) [input p14]
19. ~quiet(paul) <~> patient(paul) [input p18]
24. ~quiet... | 0 |
If john is both not kind and not rich then mary is either creative or kind and vice versa.
If someone is either not curious or patient then someone is not old and vice versa.
If mary is both humble and calm then someone is not kind.
Everyone who is not curious is not kind and vice versa.
Everyone who is not patient or ... | Mary is not tall. | contradiction | (((~kind(john)&~rich(john)))<=>((creative(mary)<~>kind(mary))))&
((?[X]:((~curious(X)<~>patient(X))))<=>(?[X]:(~old(X))))&
(((humble(mary)&calm(mary)))=>(?[X]:(~kind(X))))&
(![X]:(~curious(X)<=>~kind(X)))&
(![X]:((~patient(X)|~curious(X))=>(curious(X)&funny(X))))&
(![X]:((curious(X)|old(X))<=>(kind(X)&~funny(X))))&
((~... | ~tall(mary) | [
"p4",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 270683207946326002575533
% SZS output start Proof for 270683207946326002575533
5. ! [X0] : ((~curious(X0) | ~patient(X0)) => (funny(X0) & curious(X0))) [input p4]
6. ! [X0] : ((old(X0) | curious(X0)) <=> (~funny(X0) & kind(X0))) [input p5]
14. ! [X0] : ((curious(X0) <~> tall(X0)) => ~pati... | 0 |
Everyone who is not strong is not generous or not old and vice versa.
If someone is not wise or calm then alice is rich or creative.
Everyone who is both not funny and happy is both strong and brave and vice versa.
If alice is not curious or calm then someone is not curious or not happy.
Everyone who is both not happy ... | Susan is wise. | entailment | (![X]:(~strong(X)<=>(~generous(X)|~old(X))))&
((?[X]:((~wise(X)|calm(X))))=>((rich(alice)|creative(alice))))&
(![X]:((~funny(X)&happy(X))<=>(strong(X)&brave(X))))&
(((~curious(alice)|calm(alice)))=>(?[X]:((~curious(X)|~happy(X)))))&
(![X]:((~happy(X)&happy(X))<=>(humble(X)|old(X))))&
(![X]:(patient(X)<=>(calm(X)|kind(X... | wise(susan) | [
"p0",
"p4",
"p5",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8807821186008725924597297
% SZS output start Proof for 8807821186008725924597297
1. ! [X0] : (~strong(X0) <=> (~old(X0) | ~generous(X0))) [input p0]
5. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (old(X0) | humble(X0))) [input p4]
6. ! [X0] : (patient(X0) <=> (kind(X0) | calm(X0))) [input p5]
... | 0 |
If susan is patient then john is either not old or happy and vice versa.
If someone is happy or wise then mary is both not generous and humble and vice versa.
Everyone who is either not quiet or not creative is either creative or not tall and vice versa.
Everyone who is either calm or generous is not old and vice versa... | Mary is generous. | contradiction | ((patient(susan))<=>((~old(john)<~>happy(john))))&
((?[X]:((happy(X)|wise(X))))<=>((~generous(mary)&humble(mary))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(creative(X)<~>~tall(X))))&
(![X]:((calm(X)<~>generous(X))<=>~old(X)))&
(![X]:(happy(X)=>~calm(X)))&
(![X]:((~tall(X)&~happy(X))=>(~strong(X)|humble(X))))&
(((~curious... | generous(mary) | [
"p1",
"p6",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 555626828205233306416958
% SZS output start Proof for 555626828205233306416958
2. ? [X0] : (wise(X0) | happy(X0)) <=> (humble(mary) & ~generous(mary)) [input p1]
7. (~curious(john) <~> wise(john)) => (~patient(lucy) & ~happy(lucy)) [input p6]
14. ? [X0] : (~wise(X0) | generous(X0)) <=> (~... | 0 |
Everyone who is old or creative is not quiet or quiet and vice versa. Everyone who is not rich is happy and vice versa. Everyone who is either not happy or not humble is both not kind and not creative. Everyone who is either not calm or tall is both creative and calm and vice versa. Everyone who is either not wise or n... | Paul is not patient. | neutral | (![X]:((old(X)|creative(X))<=>(~quiet(X)|quiet(X))))&
(![X]:(~rich(X)<=>happy(X)))&
(![X]:((~happy(X)<~>~humble(X))=>(~kind(X)&~creative(X))))&
(![X]:((~calm(X)<~>tall(X))<=>(creative(X)&calm(X))))&
(![X]:((~wise(X)<~>~generous(X))<=>(old(X)<~>~brave(X))))&
(![X]:((~curious(X)&brave(X))<=>kind(X)))&
(![X]:(~curious(X)=... | ~patient(paul) | [] | null | 0 |
If paul is either kind or strong then lucy is both quiet and not happy. If someone is calm then someone is strong or humble and vice versa. If someone is both calm and humble then someone is either rich or not quiet. If someone is both kind and not patient then someone is both tall and not old. If someone is not genero... | Alice is wise. | entailment | (((kind(paul)<~>strong(paul)))=>((quiet(lucy)&~happy(lucy))))&
((?[X]:(calm(X)))<=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((kind(X)&~patient(X))))=>(?[X]:((tall(X)&~old(X)))))&
((?[X]:((~generous(X)|generous(X))))<=>((rich(fred)<~>~patient(fred))))&
(![X]... | wise(alice) | [
"p1",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 341542083021815539128415
% SZS output start Proof for 341542083021815539128415
2. ? [X0] : calm(X0) <=> ? [X0] : (humble(X0) | strong(X0)) [input p1]
8. ! [X0] : (~humble(X0) <=> (wise(X0) & ~old(X0))) [input p7]
13. ! [X0] : (~brave(X0) => (~brave(X0) & ~calm(X0))) [input p12]
14. ! [X0]... | 0 |
If someone is both not brave and not kind then lucy is both not generous and rich.
If someone is both tall and not patient then someone is either not funny or not kind.
If someone is quiet then someone is not old or not generous.
Everyone who is either not wise or curious is both not rich and not brave and vice versa.
... | Lucy is not rich. | neutral | ((?[X]:((~brave(X)&~kind(X))))=>((~generous(lucy)&rich(lucy))))&
((?[X]:((tall(X)&~patient(X))))=>(?[X]:((~funny(X)<~>~kind(X)))))&
((?[X]:(quiet(X)))=>(?[X]:((~old(X)|~generous(X)))))&
(![X]:((~wise(X)<~>curious(X))<=>(~rich(X)&~brave(X))))&
(((~rich(paul)|funny(paul)))=>(?[X]:((quiet(X)<~>~kind(X)))))&
(![X]:((quiet(... | ~rich(lucy) | [] | null | 0 |
If paul is both wise and generous then fred is both not funny and not curious.
If mary is quiet then someone is either not patient or not tall and vice versa.
Everyone who is both not happy and not brave is either not calm or old and vice versa.
If someone is both old and strong then someone is either not strong or ric... | Alice is rich. | entailment | (((wise(paul)&generous(paul)))=>((~funny(fred)&~curious(fred))))&
((quiet(mary))<=>(?[X]:((~patient(X)<~>~tall(X)))))&
(![X]:((~happy(X)&~brave(X))<=>(~calm(X)<~>old(X))))&
((?[X]:((old(X)&strong(X))))<=>(?[X]:((~strong(X)<~>rich(X)))))&
((kind(alice))<=>((~humble(susan)<~>humble(susan))))&
((?[X]:((calm(X)|~curious(X)... | rich(alice) | [
"p2",
"p4",
"p9",
"p10",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4773173681456912399570687
% SZS output start Proof for 4773173681456912399570687
3. ! [X0] : ((~brave(X0) & ~happy(X0)) <=> (~calm(X0) <~> old(X0))) [input p2]
5. kind(alice) <=> (~humble(susan) <~> humble(susan)) [input p4]
10. ! [X0] : (~calm(X0) => (~wise(X0) & patient(X0))) [input p9]... | 0 |
If lucy is either tall or kind then someone is either not funny or calm. If mary is not patient or strong then someone is either strong or not strong. If paul is not strong or tall then someone is both old and tall. If someone is either not curious or not old then mary is both generous and humble. Everyone who is both ... | John is happy. | entailment | (((tall(lucy)<~>kind(lucy)))=>(?[X]:((~funny(X)<~>calm(X)))))&
(((~patient(mary)|strong(mary)))=>(?[X]:((strong(X)<~>~strong(X)))))&
(((~strong(paul)|tall(paul)))=>(?[X]:((old(X)&tall(X)))))&
((?[X]:((~curious(X)<~>~old(X))))=>((generous(mary)&humble(mary))))&
(![X]:((creative(X)&tall(X))=>(old(X)|funny(X))))&
((?[X]:(... | happy(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8123740975260984005320867
% SZS output start Proof for 8123740975260984005320867
17. happy(john) [input p16]
25. ~happy(john) [input hypothesis]
123. happy(john) [cnf transformation 17]
134. ~happy(john) [cnf transformation 25]
249. 26 <=> happy(john) [avatar definition]
299. 26 [avatar s... | 0 |
Everyone who is rich or not happy is both not old and not brave.
Everyone who is both not strong and quiet is wise or not happy.
If lucy is either old or not tall then someone is strong and vice versa.
If alice is not brave then paul is quiet or curious and vice versa.
If someone is both not quiet and creative then mar... | Fred is tall. | entailment | (![X]:((rich(X)|~happy(X))=>(~old(X)&~brave(X))))&
(![X]:((~strong(X)&quiet(X))=>(wise(X)|~happy(X))))&
(((old(lucy)<~>~tall(lucy)))<=>(?[X]:(strong(X))))&
((~brave(alice))<=>((quiet(paul)|curious(paul))))&
((?[X]:((~quiet(X)&creative(X))))<=>(brave(mary)))&
(![X]:(~old(X)<=>(humble(X)&kind(X))))&
((?[X]:(~strong(X)))<... | tall(fred) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6101734369870585331744532
% SZS output start Proof for 6101734369870585331744532
10. ! [X0] : (~kind(X0) <=> (~brave(X0) <~> kind(X0))) [input p9]
15. ! [X0] : (~brave(X0) <=> (~rich(X0) & tall(X0))) [input p14]
23. ~tall(fred) [input hypothesis]
59. ! [X0] : ((~kind(X0) | ((~brave(X0) | ... | 0 |
If mary is not funny or quiet then someone is not generous or old. If fred is both not old and not happy then john is not brave or not curious and vice versa. If someone is not brave or wise then fred is not strong or happy. If lucy is not humble or not curious then someone is calm and vice versa. Everyone who is eithe... | Lucy is not happy. | contradiction | (((~funny(mary)|quiet(mary)))=>(?[X]:((~generous(X)|old(X)))))&
(((~old(fred)&~happy(fred)))<=>((~brave(john)|~curious(john))))&
((?[X]:((~brave(X)|wise(X))))=>((~strong(fred)|happy(fred))))&
(((~humble(lucy)|~curious(lucy)))<=>(?[X]:(calm(X))))&
(![X]:((strong(X)<~>~wise(X))=>(happy(X)|~brave(X))))&
(![X]:((~quiet(X)|... | ~happy(lucy) | [
"p6",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 243740948057339563699854
% SZS output start Proof for 243740948057339563699854
7. ! [X0] : ((old(X0) | ~calm(X0)) <=> ~old(X0)) [input p6]
12. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> (old(X0) <~> ~happy(X0))) [input p11]
14. ! [X0] : (~tall(X0) <=> (brave(X0) | funny(X0))) [input p13]
15. !... | 0 |
Everyone who is kind is old. If someone is humble then lucy is not quiet or not old and vice versa. If someone is not tall then lucy is both wise and not tall. If lucy is either not old or not strong then paul is not happy. If susan is wise then someone is happy or wise. Everyone who is both not old and old is kind or ... | Susan is kind. | contradiction | (![X]:(kind(X)=>old(X)))&
((?[X]:(humble(X)))<=>((~quiet(lucy)|~old(lucy))))&
((?[X]:(~tall(X)))=>((wise(lucy)&~tall(lucy))))&
(((~old(lucy)<~>~strong(lucy)))=>(~happy(paul)))&
((wise(susan))=>(?[X]:((happy(X)|wise(X)))))&
(![X]:((~old(X)&old(X))<=>(kind(X)|wise(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(patient(X)<~>~... | kind(susan) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6940088984946200266510212
% SZS output start Proof for 6940088984946200266510212
1. ! [X0] : (kind(X0) => old(X0)) [input p0]
6. ! [X0] : ((old(X0) & ~old(X0)) <=> (wise(X0) | kind(X0))) [input p5]
23. kind(susan) [input hypothesis]
26. ! [X0] : (old(X0) | ~kind(X0)) [ennf transformation ... | 0 |
Everyone who is not wise is rich or not happy and vice versa.
Everyone who is either not patient or wise is brave or rich.
Everyone who is humble is not wise or old and vice versa.
If someone is either creative or not happy then susan is either not rich or not patient and vice versa.
If someone is both not tall and not... | Lucy is not old. | entailment | (![X]:(~wise(X)<=>(rich(X)|~happy(X))))&
(![X]:((~patient(X)<~>wise(X))=>(brave(X)|rich(X))))&
(![X]:(humble(X)<=>(~wise(X)|old(X))))&
((?[X]:((creative(X)<~>~happy(X))))<=>((~rich(susan)<~>~patient(susan))))&
((?[X]:((~tall(X)&~humble(X))))<=>(?[X]:((~tall(X)|~strong(X)))))&
(![X]:((kind(X)&~funny(X))<=>rich(X)))&
((?... | ~old(lucy) | [
"p0",
"p2",
"p5",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5525955567237630277530794
% SZS output start Proof for 5525955567237630277530794
1. ! [X0] : (~wise(X0) <=> (~happy(X0) | rich(X0))) [input p0]
3. ! [X0] : (humble(X0) <=> (old(X0) | ~wise(X0))) [input p2]
6. ! [X0] : ((~funny(X0) & kind(X0)) <=> rich(X0)) [input p5]
9. ! [X0] : ((~happy(... | 0 |
If lucy is wise or curious then someone is both happy and not creative. Everyone who is either not old or happy is humble and vice versa. Everyone who is both not patient and not humble is strong or not quiet and vice versa. If someone is old or wise then someone is brave or not brave and vice versa. Everyone who is wi... | Paul is humble. | entailment | (((wise(lucy)|curious(lucy)))=>(?[X]:((happy(X)&~creative(X)))))&
(![X]:((~old(X)<~>happy(X))<=>humble(X)))&
(![X]:((~patient(X)&~humble(X))<=>(strong(X)|~quiet(X))))&
((?[X]:((old(X)|wise(X))))<=>(?[X]:((brave(X)|~brave(X)))))&
(![X]:((wise(X)|tall(X))<=>(happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>wise(X))<=>(~stron... | humble(paul) | [
"p1",
"p4",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 374965881822679006179332
% SZS output start Proof for 374965881822679006179332
2. ! [X0] : ((~old(X0) <~> happy(X0)) <=> humble(X0)) [input p1]
5. ! [X0] : ((tall(X0) | wise(X0)) <=> (~brave(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (strong(X0) | ~strong(X0... | 0 |
If alice is both not calm and kind then someone is old.
Everyone who is not tall is old or strong and vice versa.
Everyone who is not strong is not creative or rich and vice versa.
If someone is either not strong or calm then someone is not wise or happy.
Everyone who is humble or tall is either rich or happy.
If paul ... | Mary is curious. | contradiction | (((~calm(alice)&kind(alice)))=>(?[X]:(old(X))))&
(![X]:(~tall(X)<=>(old(X)|strong(X))))&
(![X]:(~strong(X)<=>(~creative(X)|rich(X))))&
((?[X]:((~strong(X)<~>calm(X))))=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:((humble(X)|tall(X))=>(rich(X)<~>happy(X))))&
((funny(paul))<=>((~rich(fred)&~curious(fred))))&
((?[X]:((~happy(X)... | curious(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8195025117567996220750338
% SZS output start Proof for 8195025117567996220750338
10. ! [X0] : ((~tall(X0) <~> tall(X0)) <=> ~curious(X0)) [input p9]
25. curious(mary) [input hypothesis]
52. ! [X0] : ((((~tall(X0) | tall(X0)) & (tall(X0) | ~tall(X0))) | curious(X0)) & (~curious(X0) | ((~ta... | 0 |
Everyone who is both not tall and quiet is not humble or wise. Everyone who is both not rich and tall is funny or not strong and vice versa. Everyone who is quiet or old is either wise or not quiet and vice versa. If john is both not brave and not happy then susan is not calm and vice versa. Everyone who is brave is qu... | Susan is calm. | neutral | (![X]:((~tall(X)&quiet(X))=>(~humble(X)|wise(X))))&
(![X]:((~rich(X)&tall(X))<=>(funny(X)|~strong(X))))&
(![X]:((quiet(X)|old(X))<=>(wise(X)<~>~quiet(X))))&
(((~brave(john)&~happy(john)))<=>(~calm(susan)))&
(![X]:(brave(X)=>(quiet(X)|~patient(X))))&
(((tall(susan)<~>wise(susan)))<=>(?[X]:((funny(X)|humble(X)))))&
(![X]... | calm(susan) | [] | null | 0 |
Everyone who is both not patient and not happy is both not wise and quiet. Everyone who is not generous or not brave is either old or not strong and vice versa. If someone is either humble or generous then lucy is either calm or not funny and vice versa. Everyone who is both not calm and not creative is either not old ... | Susan is not funny. | entailment | (![X]:((~patient(X)&~happy(X))=>(~wise(X)&quiet(X))))&
(![X]:((~generous(X)|~brave(X))<=>(old(X)<~>~strong(X))))&
((?[X]:((humble(X)<~>generous(X))))<=>((calm(lucy)<~>~funny(lucy))))&
(![X]:((~calm(X)&~creative(X))<=>(~old(X)<~>curious(X))))&
(![X]:((kind(X)<~>~wise(X))<=>(~patient(X)|patient(X))))&
((?[X]:(~creative(X... | ~funny(susan) | [
"p3",
"p6",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4874258353068853177374480
% SZS output start Proof for 4874258353068853177374480
4. ! [X0] : ((~creative(X0) & ~calm(X0)) <=> (~old(X0) <~> curious(X0))) [input p3]
7. ! [X0] : ((rich(X0) <~> ~calm(X0)) <=> old(X0)) [input p6]
13. ! [X0] : ((~old(X0) <~> old(X0)) => (funny(X0) <~> creativ... | 0 |
Everyone who is not patient is not brave or not wise and vice versa. If someone is either generous or not curious then someone is brave. If someone is strong then mary is both happy and patient and vice versa. If someone is not curious or not funny then someone is both not happy and creative and vice versa. If fred is ... | Fred is rich. | entailment | (![X]:(~patient(X)<=>(~brave(X)|~wise(X))))&
((?[X]:((generous(X)<~>~curious(X))))=>(?[X]:(brave(X))))&
((?[X]:(strong(X)))<=>((happy(mary)&patient(mary))))&
((?[X]:((~curious(X)|~funny(X))))<=>(?[X]:((~happy(X)&creative(X)))))&
(((~funny(fred)|~old(fred)))=>(?[X]:((funny(X)|rich(X)))))&
((wise(lucy))=>(?[X]:(rich(X)))... | rich(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1257118447066637196151729
% SZS output start Proof for 1257118447066637196151729
12. ! [X0] : ((tall(X0) <~> ~tall(X0)) => rich(X0)) [input p11]
25. ~rich(fred) [input hypothesis]
37. ! [X0] : (rich(X0) | (tall(X0) <=> ~tall(X0))) [ennf transformation 12]
69. ! [X0] : (rich(X0) | ((tall(X... | 0 |
If john is either not curious or humble then john is both not tall and not brave. Everyone who is either curious or rich is not quiet or strong and vice versa. If someone is not generous then someone is brave or not quiet. Everyone who is funny is either not strong or not curious and vice versa. If someone is not kind ... | Mary is not kind. | contradiction | (((~curious(john)<~>humble(john)))=>((~tall(john)&~brave(john))))&
(![X]:((curious(X)<~>rich(X))<=>(~quiet(X)|strong(X))))&
((?[X]:(~generous(X)))=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:(funny(X)<=>(~strong(X)<~>~curious(X))))&
((?[X]:(~kind(X)))=>(?[X]:(patient(X))))&
(((~wise(mary)<~>~happy(mary)))=>((generous(susan)... | ~kind(mary) | [
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5830255695909335776588973
% SZS output start Proof for 5830255695909335776588973
14. ! [X0] : (~kind(X0) <=> (creative(X0) & ~funny(X0))) [input p13]
23. funny(mary) & wise(mary) [input p22]
25. ~kind(mary) [input hypothesis]
66. ! [X0] : ((~kind(X0) | (~creative(X0) | funny(X0))) & ((cre... | 0 |
Everyone who is either not patient or not wise is old and vice versa.
Everyone who is quiet or not tall is not creative or brave.
If someone is curious or not rich then someone is funny.
Everyone who is not generous or happy is either strong or not patient and vice versa.
Everyone who is not brave is not old or not wis... | Mary is not creative. | neutral | (![X]:((~patient(X)<~>~wise(X))<=>old(X)))&
(![X]:((quiet(X)|~tall(X))=>(~creative(X)|brave(X))))&
((?[X]:((curious(X)|~rich(X))))=>(?[X]:(funny(X))))&
(![X]:((~generous(X)|happy(X))<=>(strong(X)<~>~patient(X))))&
(![X]:(~brave(X)<=>(~old(X)|~wise(X))))&
(![X]:(kind(X)<=>happy(X)))&
((?[X]:((kind(X)|strong(X))))<=>(?[X... | ~creative(mary) | [] | null | 0 |
If someone is either kind or not strong then mary is either tall or not kind. Everyone who is old is not happy or calm and vice versa. If fred is not calm or not curious then someone is both humble and not creative. If john is not strong then lucy is not old or not generous. Everyone who is happy is either not strong o... | Fred is not strong. | contradiction | ((?[X]:((kind(X)<~>~strong(X))))=>((tall(mary)<~>~kind(mary))))&
(![X]:(old(X)<=>(~happy(X)|calm(X))))&
(((~calm(fred)|~curious(fred)))=>(?[X]:((humble(X)&~creative(X)))))&
((~strong(john))=>((~old(lucy)|~generous(lucy))))&
(![X]:(happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((curious(X)|~old(X))=>curious(X)))&
(![X]:(... | ~strong(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1682329363166582307820074
% SZS output start Proof for 1682329363166582307820074
7. ! [X0] : ((happy(X0) | ~happy(X0)) => strong(X0)) [input p6]
25. ~strong(fred) [input hypothesis]
35. ! [X0] : (strong(X0) | (~happy(X0) & happy(X0))) [ennf transformation 7]
92. strong(X0) | happy(X0) [cn... | 0 |
Everyone who is patient is not strong and vice versa.
If lucy is both creative and not calm then someone is not generous or not funny and vice versa.
Everyone who is either not tall or brave is creative or not creative.
If fred is either wise or happy then paul is both not tall and not humble.
Everyone who is either no... | Alice is funny. | neutral | (![X]:(patient(X)<=>~strong(X)))&
(((creative(lucy)&~calm(lucy)))<=>(?[X]:((~generous(X)|~funny(X)))))&
(![X]:((~tall(X)<~>brave(X))=>(creative(X)|~creative(X))))&
(((wise(fred)<~>happy(fred)))=>((~tall(paul)&~humble(paul))))&
(![X]:((~quiet(X)<~>rich(X))=>(~funny(X)<~>~wise(X))))&
(![X]:((~rich(X)&kind(X))=>~generous(... | funny(alice) | [] | null | 0 |
Everyone who is both brave and not creative is not generous and vice versa.
If mary is both not generous and not rich then alice is not curious and vice versa.
If mary is not quiet then someone is not humble or funny.
If lucy is either calm or wise then someone is both kind and funny and vice versa.
Everyone who is eit... | Fred is not humble. | neutral | (![X]:((brave(X)&~creative(X))<=>~generous(X)))&
(((~generous(mary)&~rich(mary)))<=>(~curious(alice)))&
((~quiet(mary))=>(?[X]:((~humble(X)|funny(X)))))&
(((calm(lucy)<~>wise(lucy)))<=>(?[X]:((kind(X)&funny(X)))))&
(![X]:((humble(X)<~>wise(X))=>(generous(X)&~quiet(X))))&
(![X]:(~rich(X)=>(strong(X)<~>curious(X))))&
(![... | ~humble(fred) | [] | null | 0 |
Everyone who is either not quiet or not old is either tall or kind and vice versa.
If someone is strong or generous then lucy is not funny and vice versa.
If someone is both humble and curious then someone is both curious and tall and vice versa.
Everyone who is kind or generous is both rich and creative and vice versa... | Fred is not curious. | neutral | (![X]:((~quiet(X)<~>~old(X))<=>(tall(X)<~>kind(X))))&
((?[X]:((strong(X)|generous(X))))<=>(~funny(lucy)))&
((?[X]:((humble(X)&curious(X))))<=>(?[X]:((curious(X)&tall(X)))))&
(![X]:((kind(X)|generous(X))<=>(rich(X)&creative(X))))&
((creative(fred))=>(?[X]:((~generous(X)<~>old(X)))))&
((?[X]:((funny(X)&~patient(X))))=>(?... | ~curious(fred) | [] | null | 0 |
If mary is either patient or strong then someone is old or not wise and vice versa.
Everyone who is kind or not generous is humble or kind and vice versa.
If mary is not creative or not funny then paul is either not curious or not patient.
Everyone who is not humble is either patient or wise.
Everyone who is either hum... | John is funny. | contradiction | (((patient(mary)<~>strong(mary)))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:((kind(X)|~generous(X))<=>(humble(X)|kind(X))))&
(((~creative(mary)|~funny(mary)))=>((~curious(paul)<~>~patient(paul))))&
(![X]:(~humble(X)=>(patient(X)<~>wise(X))))&
(![X]:((humble(X)<~>generous(X))<=>(rich(X)&~rich(X))))&
((?[X]:((~quiet(X)&~creat... | funny(john) | [
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8185166305377062239519107
% SZS output start Proof for 8185166305377062239519107
9. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (calm(X0) | generous(X0))) [input p8]
11. ! [X0] : ((happy(X0) | funny(X0)) <=> (calm(X0) & ~wise(X0))) [input p10]
14. ! [X0] : ((wise(X0) <~> calm(X0)) => (~kind... | 0 |
Everyone who is creative or rich is both curious and old and vice versa.
If someone is not old or generous then someone is either not old or strong and vice versa.
If lucy is either curious or generous then someone is not tall.
If paul is quiet or not kind then someone is either wise or not kind and vice versa.
Everyon... | Lucy is not happy. | neutral | (![X]:((creative(X)|rich(X))<=>(curious(X)&old(X))))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:((~old(X)<~>strong(X)))))&
(((curious(lucy)<~>generous(lucy)))=>(?[X]:(~tall(X))))&
(((quiet(paul)|~kind(paul)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((patient(X)&~wise(X))=>strong(X)))&
(![X]:((rich(X)&~quiet(X))<=>(~old(X... | ~happy(lucy) | [] | null | 0 |
If susan is calm then someone is not patient or quiet.
Everyone who is both quiet and not calm is either funny or happy and vice versa.
If john is funny then someone is rich or generous and vice versa.
Everyone who is either creative or not funny is not rich or humble and vice versa.
Everyone who is either strong or ta... | Paul is not brave. | neutral | ((calm(susan))=>(?[X]:((~patient(X)|quiet(X)))))&
(![X]:((quiet(X)&~calm(X))<=>(funny(X)<~>happy(X))))&
((funny(john))<=>(?[X]:((rich(X)|generous(X)))))&
(![X]:((creative(X)<~>~funny(X))<=>(~rich(X)|humble(X))))&
(![X]:((strong(X)<~>tall(X))<=>(strong(X)&old(X))))&
((?[X]:((generous(X)<~>brave(X))))<=>(?[X]:((kind(X)<~... | ~brave(paul) | [] | null | 0 |
Everyone who is either not calm or kind is either not humble or not quiet and vice versa. Everyone who is rich or strong is both not curious and not humble and vice versa. If susan is both humble and quiet then mary is creative or kind and vice versa. Everyone who is either brave or not brave is both not strong and gen... | Alice is happy. | entailment | (![X]:((~calm(X)<~>kind(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((rich(X)|strong(X))<=>(~curious(X)&~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>(~happy(X)|curious(X))))&
(![X]:((happy(X)<~>gene... | happy(alice) | [
"p1",
"p3",
"p4",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2409375930488560706909224
% SZS output start Proof for 2409375930488560706909224
2. ! [X0] : ((strong(X0) | rich(X0)) <=> (~humble(X0) & ~curious(X0))) [input p1]
4. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (generous(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((~curious(X0) & ~old(X0)) <=>... | 0 |
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