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stringlengths 1.19k
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| proof
stringlengths 787
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⌀ | tc
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stringlengths 3.94k
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
Joseph, Charles, Doris, Donna, Jewell, Paul are the only persons in the room.
if “Charles is an amateur astronomer who builds and uses custom telescopes” then “not everyone in the room is not an amateur astronomer who builds and uses custom telescopes or hates Anthony”
if “no one outside the room does not have a pet dog or is a sibling of David” then “everyone in the room who is a dedicated volunteer for local community service projects is older than Richard”
if “Doris and Jewell are sibling of Karl” then “at least one person in the room is a happy creative person or is an enthusiastic bird watcher who travels for rare sightings or both”
if “Paul is older than Annabell” then “someone who enjoys camping and organizing outdoor survival workshops is a sibling of someone who is a sibling of Kathleen”
no one anywhere enjoys bird watching if they is richer than Richard
“A desert does not bloom with snowdrops every year.” or “A bridge does not sing when it is crossed.” but not both
everyone in the room who is a client of Karl is younger than Thomas
someone in the room enjoys deep-sea diving and exploring underwater caves
everyone in the room who is not happy, not quiet, not humble is wise
Jewell is formal
Jewell is kind
everyone in the room who enjoys macrame is not creative, not formal
Donna and Charles are respectively organized and humble
Donna is curious
“A frog sings opera in the swamp at night.” or “A river flows uphill only on Tuesdays.” but not both
everyone in the room who is organized has a pet dog
at most two persons in the room enjoys stargazing
everyone in the room is a sibling of Jessica if they is not a formal european, is tall and does not practice calligraphy
A river does not flow uphill on Tuesdays.
Charles is a sibling of Karl
Glass rain does not fall on a distant planet.
everyone in the room who hosts a YouTube channel dedicated to art tutorials is a dedicated volunteer for local community service projects
Donna enjoys logic puzzles
Jewell is a dedicated volunteer for local community service projects
Charles is a dedicated volunteer for local community service projects
everyone in the room is not hated by Chris if and only if they does not enjoy skydiving
Charles is a organized kind wise tourist
exactly four persons in the room is a formal wise strong tall tourist
“everyone in the room does not play as a goalkeeper for a local amateur soccer team, does not own an extensive assortment of vintage comic book memorabilia or does not practice yoga” if “Donna is not a chess master who participates in national tournaments” and vice versa
everyone in the room is not a dedicated volunteer for local community service projects if they is an amateur astronomer who builds and uses custom telescopes, does not enjoy logic puzzles or is not a chess master who participates in national tournaments
at most two persons in the room is not a chess master who participates in national tournaments
it is not the case that “Donna does not own an extensive assortment of vintage comic book memorabilia”
if someone does not practice yoga, does not enjoy mountain biking or does not enjoy bird watching then he/she either does not own an extensive assortment of vintage comic book memorabilia or does not frequently participates in hackathons and coding competitions but not both and vice versa
it is true that “Charles is not allergic to anything”
everyone outside the room does not practice yoga
everyone in the room is an enthusiastic bird watcher who travels for rare sightings
everyone outside the room does not enjoy logic puzzles
everyone in the room either does not enjoy skydiving or does not enjoy deep-sea diving and exploring underwater caves but not both only if they enjoys salsa dancing
everyone in the room is not allergic to anything and is not a cybersecurity expert if they does not collect limited-edition art prints from contemporary artists, does not enjoy logic puzzles and does not enjoy skydiving
everyone in the room does not collect limited-edition art prints from contemporary artists, is not an amateur astronomer who builds and uses custom telescopes or does not host themed dinner parties featuring gourmet home-cooked meals if they does not collect limited-edition art prints from contemporary artists and is not an avid mountain climber who has scaled several peaks
not everyone in the room does not frequently participates in hackathons and coding competitions
everyone in the room is not an avid mountain climber who has scaled several peaks
everyone in the room does not host themed dinner parties featuring gourmet home-cooked meals, does not own an extensive assortment of vintage comic book memorabilia or does not enjoy logic puzzles
if someone is not an amateur astronomer who builds and uses custom telescopes then he/she does not enjoy deep-sea diving and exploring underwater caves and vice versa
everyone in the room does not collect limited-edition art prints from contemporary artists
everyone in the room does not enjoy salsa dancing only if they is not a chess master who participates in national tournaments and does not enjoy deep-sea diving and exploring underwater caves
if someone is not an avid mountain climber who has scaled several peaks then he/she does not mentor a youth basketball team on weekends, does not enjoy logic puzzles or does not enjoy macrame
not everyone in the room is an avid mountain climber who has scaled several peaks
Joseph either is not a chess master who participates in national tournaments or does not enjoy camping and organizing outdoor survival workshops but not both
if “Charles is an amateur astronomer who builds and uses custom telescopes” then “not everyone in the room is not an amateur astronomer who builds and uses custom telescopes or hates Anthony”
if “no one outside the room does not have a pet dog or is a sibling of David” then “everyone in the room who is a dedicated volunteer for local community service projects is older than Richard”
if “Doris and Jewell are sibling of Karl” then “at least one person in the room is a happy creative person or is an enthusiastic bird watcher who travels for rare sightings or both”
if “Paul is older than Annabell” then “someone who enjoys camping and organizing outdoor survival workshops is a sibling of someone who is a sibling of Kathleen”
no one anywhere enjoys bird watching if they is richer than Richard
“A desert does not bloom with snowdrops every year.” or “A bridge does not sing when it is crossed.” but not both
everyone in the room who is a client of Karl is younger than Thomas
someone in the room enjoys deep-sea diving and exploring underwater caves
everyone in the room who is not happy, not quiet, not humble is wise
Jewell is formal
Jewell is kind
everyone in the room who enjoys macrame is not creative, not formal
Donna and Charles are respectively organized and humble
Donna is curious
“A frog sings opera in the swamp at night.” or “A river flows uphill only on Tuesdays.” but not both
everyone in the room who is organized has a pet dog
at most two persons in the room enjoys stargazing
everyone in the room is a sibling of Jessica if they is not a formal european, is tall and does not practice calligraphy
A river does not flow uphill on Tuesdays.
Charles is a sibling of Karl
Glass rain does not fall on a distant planet.
everyone in the room who hosts a YouTube channel dedicated to art tutorials is a dedicated volunteer for local community service projects
Donna enjoys logic puzzles
Jewell is a dedicated volunteer for local community service projects
Charles is a dedicated volunteer for local community service projects
everyone in the room is not hated by Chris if and only if they does not enjoy skydiving
Charles is a organized kind wise tourist
exactly four persons in the room is a formal wise strong tall tourist
either “everyone in the room is a sibling of Chris or is not a dedicated volunteer for local community service projects” or “Joseph does enjoy mountain biking” but not both
if “not everyone in the room is a sibling of Richard or does not enjoy bird watching” then “Grady and Anthony like each other”
if “Richard is quieter than Joseph” then “Donna and Eva like David” otherwise “everyone in the room frequently participates in hackathons and coding competitions or does not enjoy salsa dancing”
“everyone in the room is brave if and only if they either hosts a YouTube channel dedicated to art tutorials or is a tall tourist but not both” if “Joseph is not hated by Amy”
““A frog sings opera in the swamp at night.” and “Glass rain falls on a distant planet.”” if “Glass rain falls on a distant planet.”
Doris who is a tall old tourist is hated by Richard
no organized person in the room is tall
it is not the case that “Eva enjoys salsa dancing”
Donna enjoys macrame
someone in the room owns an extensive assortment of vintage comic book memorabilia
Paul is an enthusiastic bird watcher who travels for rare sightings
everyone anywhere is not liked by Thomas if they hosts a YouTube channel dedicated to art tutorials
someone in the room is a quiet humble tall european
at most two persons in the room is not a curious wise european
Karl and Annabell hate each other
Wallace is a sibling of Karl
someone in the room is quieter than Amy
Michael is a formal curious wise tourist
at most four persons outside the room is a creative tall organized tourist
at most three persons in the room is not a strong kind creative tourist and is not liked by Douglas
if someone does not like Richard then he/she is older than Richard and vice versa
Paul is quieter than Amy
everyone in the room is not a chess master who participates in national tournaments if they is not a formal person
Joseph is not a curious european
at least one person in the room is allergic to anything
someone who is younger than Mary like someone who is a sibling of Annabell
everyone in the room does not host themed dinner parties featuring gourmet home-cooked meals or is not an enthusiastic bird watcher who travels for rare sightings
exactly three persons in the room is quieter than Amy | Charles does practice yoga | neutral | room(mary)&room(paul)&room(fred)&room(alice)&room(john)&room(susan)&(![X]:(room(X)=>(X='mary'|X='paul'|X='fred'|X='alice'|X='john'|X='susan')))&
((preds(paul))=>(~![X]:(room(X)=>(((hate(mike,X))|(~preds(X)))))))&
((~?[X]:(~room(X)=>(((sibling(ulysses,X))|(~predp(X))))))=>(![X]:(room(X)=>(((predt(X))=>(older(patricia,X)))))))&
((sibling(hannah,fred)&sibling(hannah,john))=>(((?[X]:(room(X)&((happy(X)&creative(X)&person(X))|(predd(X))))))))&
((older(xena,susan))=>(?[X,Y]:((predm(X))&(sibling(david,Y))&(sibling(X,Y)))))&
(~?[X]:(anywhere(X)=>(((richer(patricia,X))=>(predw(X))))))&
(((~propositionb)<~>(~propositione)))&
(![X]:(room(X)=>(((client(rachel,X))=>(younger(yves,X))))))&
(?[X]:(room(X)&(predx(X))))&
(![X]:(room(X)=>(((~happy(X)&~quiet(X)&~humble(X))=>(wise(X))))))&
(formal(john))&
(kind(john))&
(![X]:(room(X)=>(((prede(X))=>(~creative(X)&~formal(X))))))&
((organized(alice))&(humble(paul)))&
(curious(alice))&
(((propositiond)<~>(propositiona)))&
(![X]:(room(X)=>(((organized(X))=>(predp(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&predy(A)&predy(B)&predy(C))))&
(![X]:(room(X)=>(((((~(formal(X)&european(X)))&(tall(X))&(~predq(X))))=>(sibling(lisa,X))))))&
(~propositiona)&
(sibling(rachel,paul))&
(~propositionc)&
(![X]:(room(X)=>(((predz(X))=>(predt(X))))))&
(predn(alice))&
(predt(john))&
(predt(paul))&
(![X]:(room(X)=>(((~hate(X,quentin))<=>(~predh(X))))))&
(organized(paul)&kind(paul)&wise(paul)&tourist(paul))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)&formal(E)&wise(E)&strong(E)&tall(E)&tourist(E)))))&
((~predg(alice))<=>(![X]:(room(X)=>(((~predb(X))|(~predv(X))|(~predj(X)))))))&
(![X]:(room(X)=>(((((preds(X))|(~predn(X))|(~predg(X))))=>(~predt(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&~predg(A)&~predg(B)&~predg(C))))&
(~(~predv(alice)))&
((![X]:((((~predj(X))|(~predk(X))|(~predw(X))))<=>(((~predv(X))<~>(~predr(X)))))))&
(~predi(paul))&
(![X]:(~room(X)=>(~predj(X))))&
(![X]:(room(X)=>(predd(X))))&
(![X]:(~room(X)=>(~predn(X))))&
(![X]:(room(X)=>(((predu(X))<=(((~predh(X))<~>(~predx(X))))))))&
(![X]:(room(X)=>(((((~predo(X))&(~predn(X))&(~predh(X))))=>(((~predi(X))&(~predl(X))))))))&
(![X]:(room(X)=>(((((~predo(X))&(~preda(X))))=>(((~predo(X))|(~preds(X))|(~predf(X))))))))&
(~![X]:(room(X)=>(~predr(X))))&
(![X]:(room(X)=>(~preda(X))))&
(![X]:(room(X)=>(((~predf(X))|(~predv(X))|(~predn(X))))))&
((![X]:((~preds(X))<=>(~predx(X)))))&
(![X]:(room(X)=>(~predo(X))))&
(![X]:(room(X)=>(((((~predg(X))&(~predx(X))))<=(~predu(X))))))&
((![X]:((~preda(X))=>(((~predc(X))|(~predn(X))|(~prede(X)))))))&
(~![X]:(room(X)=>(preda(X))))&
(((~predg(mary))<~>(~predm(mary))))&
((preds(paul))=>(~![X]:(room(X)=>(((hate(mike,X))|(~preds(X)))))))&
((~?[X]:(~room(X)=>(((sibling(ulysses,X))|(~predp(X))))))=>(![X]:(room(X)=>(((predt(X))=>(older(patricia,X)))))))&
((sibling(hannah,fred)&sibling(hannah,john))=>(((?[X]:(room(X)&((happy(X)&creative(X)&person(X))|(predd(X))))))))&
((older(xena,susan))=>(?[X,Y]:((predm(X))&(sibling(david,Y))&(sibling(X,Y)))))&
(~?[X]:(anywhere(X)=>(((richer(patricia,X))=>(predw(X))))))&
(((~propositionb)<~>(~propositione)))&
(![X]:(room(X)=>(((client(rachel,X))=>(younger(yves,X))))))&
(?[X]:(room(X)&(predx(X))))&
(![X]:(room(X)=>(((~happy(X)&~quiet(X)&~humble(X))=>(wise(X))))))&
(formal(john))&
(kind(john))&
(![X]:(room(X)=>(((prede(X))=>(~creative(X)&~formal(X))))))&
((organized(alice))&(humble(paul)))&
(curious(alice))&
(((propositiond)<~>(propositiona)))&
(![X]:(room(X)=>(((organized(X))=>(predp(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&predy(A)&predy(B)&predy(C))))&
(![X]:(room(X)=>(((((~(formal(X)&european(X)))&(tall(X))&(~predq(X))))=>(sibling(lisa,X))))))&
(~propositiona)&
(sibling(rachel,paul))&
(~propositionc)&
(![X]:(room(X)=>(((predz(X))=>(predt(X))))))&
(predn(alice))&
(predt(john))&
(predt(paul))&
(![X]:(room(X)=>(((~hate(X,quentin))<=>(~predh(X))))))&
(organized(paul)&kind(paul)&wise(paul)&tourist(paul))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)&formal(E)&wise(E)&strong(E)&tall(E)&tourist(E)))))&
((![X]:(room(X)=>(((~predt(X))|(sibling(quentin,X))))))<~>(predk(julia)))&
((~![X]:(room(X)=>(((~predw(X))|(sibling(patricia,X))))))=>((like(william,mike) & like(mike,william))))&
(((quieter(mary,patricia))=>(like(ulysses,alice)&like(ulysses,nancy)))&((~(quieter(mary,patricia)))=>(![X]:(room(X)=>(((~predu(X))|(predr(X))))))))&
((~hate(julia,tina))=>(![X]:(room(X)=>(((brave(X))<=>(((predz(X))<~>(tall(X)&tourist(X)))))))))&
((propositionc)=>(((propositiond)&(propositionc))))&
((tall(fred)&old(fred)&tourist(fred))&(hate(fred,patricia)))&
(![X]:(room(X)=>(organized(X)=>~tall(X))))&
(~(predu(nancy)))&
(prede(alice))&
(?[X]:(room(X)&(predv(X))))&
(predd(susan))&
(![X]:(anywhere(X)=>(((predz(X))=>(~like(X,yves))))))&
(?[X]:(room(X)&(quiet(X)&humble(X)&tall(X)&european(X))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&~(curious(A)&wise(A)&european(A))&~(curious(B)&wise(B)&european(B))&~(curious(C)&wise(C)&european(C)))))&
((hate(hannah,xena) & hate(xena,hannah)))&
(sibling(rachel,george))&
(?[X]:(room(X)&(quieter(tina,X))))&
(formal(emma)&curious(emma)&wise(emma)&tourist(emma))&
(~(?[A,B,C,D,E]:(~room(A)&~room(B)&~room(C)&~room(D)&~room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&creative(A)&tall(A)&organized(A)&tourist(A)&creative(B)&tall(B)&organized(B)&tourist(B)&creative(C)&tall(C)&organized(C)&tourist(C)&creative(D)&tall(D)&organized(D)&tourist(D)&creative(E)&tall(E)&organized(E)&tourist(E))))&
(~(?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&((~(strong(A)&kind(A)&creative(A)&tourist(A)))&(~like(A,oscar)))&((~(strong(B)&kind(B)&creative(B)&tourist(B)))&(~like(B,oscar)))&((~(strong(C)&kind(C)&creative(C)&tourist(C)))&(~like(C,oscar)))&((~(strong(D)&kind(D)&creative(D)&tourist(D)))&(~like(D,oscar))))))&
((![X]:((~like(patricia,X))<=>(older(patricia,X)))))&
(quieter(tina,susan))&
(![X]:(room(X)=>(((~(formal(X)&person(X)))=>(~predg(X))))))&
(~(curious(julia)&european(julia)))&
(((?[X]:(room(X)&predi(X)))))&
(?[X,Y]:((younger(victoria,X))&(sibling(xena,Y))&(like(X,Y))))&
(![X]:(room(X)=>(((~predd(X))|(~predf(X))))))&
((?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&quieter(tina,A)&quieter(tina,B)&quieter(tina,C)))&(~(?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&quieter(tina,A)&quieter(tina,B)&quieter(tina,C)&quieter(tina,D))))) | predj(paul) | [] | null | 1,433 | 128 | [] | {} | true | {'mary': 'julia', 'paul': 'charles', 'fred': 'doris', 'alice': 'donna', 'john': 'jewell', 'susan': 'paul', 'lucy': 'denise', 'david': 'kathleen', 'emma': 'michael', 'george': 'wallace', 'hannah': 'rachel', 'ian': 'preston', 'julia': 'joseph', 'kyle': 'deborah', 'lisa': 'jessica', 'mike': 'anthony', 'nancy': 'eva', 'oscar': 'douglas', 'patricia': 'richard', 'quentin': 'chris', 'rachel': 'karl', 'steve': 'joel', 'tina': 'amy', 'ulysses': 'david', 'victoria': 'mary', 'william': 'grady', 'xena': 'annabell', 'yves': 'thomas', 'Mary': 'Julia', 'Paul': 'Charles', 'Fred': 'Doris', 'Alice': 'Donna', 'John': 'Jewell', 'Susan': 'Paul', 'Lucy': 'Denise', 'David': 'Kathleen', 'Emma': 'Michael', 'George': 'Wallace', 'Hannah': 'Rachel', 'Ian': 'Preston', 'Julia': 'Joseph', 'Kyle': 'Deborah', 'Lisa': 'Jessica', 'Mike': 'Anthony', 'Nancy': 'Eva', 'Oscar': 'Douglas', 'Patricia': 'Richard', 'Quentin': 'Chris', 'Rachel': 'Karl', 'Steve': 'Joel', 'Tina': 'Amy', 'Ulysses': 'David', 'Victoria': 'Mary', 'William': 'Grady', 'Xena': 'Annabell', 'Yves': 'Thomas', '~preda': 'is not an avid mountain climber who has scaled several peaks', '~predb': 'does not play as a goalkeeper for a local amateur soccer team', '~predc': 'does not mentor a youth basketball team on weekends', '~predd': 'is not an enthusiastic bird watcher who travels for rare sightings', '~prede': 'does not enjoy macrame', '~predf': 'does not host themed dinner parties featuring gourmet home-cooked meals', '~predg': 'is not a chess master who participates in national tournaments', '~predh': 'does not enjoy skydiving', '~predi': 'is not allergic to anything', '~predj': 'does not practice yoga', '~predk': 'does not enjoy mountain biking', '~predl': 'is not a cybersecurity expert', '~predm': 'does not enjoy camping and organizing outdoor survival workshops', '~predn': 'does not enjoy logic puzzles', '~predo': 'does not collect limited-edition art prints from contemporary artists', '~predp': 'does not have a pet dog', '~predq': 'does not practice calligraphy', '~predr': 'does not frequently participates in hackathons and coding competitions', '~preds': 'is not an amateur astronomer who builds and uses custom telescopes', '~predt': 'is not a dedicated volunteer for local community service projects', '~predu': 'does not enjoy salsa dancing', '~predv': 'does not own an extensive assortment of vintage comic book memorabilia', '~predw': 'does not enjoy bird watching', '~predx': 'does not enjoy deep-sea diving and exploring underwater caves', '~predy': 'does not enjoy stargazing', '~predz': 'does not host a YouTube channel dedicated to art tutorials', 'preda': 'is an avid mountain climber who has scaled several peaks', 'predb': 'plays as a goalkeeper for a local amateur soccer team', 'predc': 'mentors a youth basketball team on weekends', 'predd': 'is an enthusiastic bird watcher who travels for rare sightings', 'prede': 'enjoys macrame', 'predf': 'hosts themed dinner parties featuring gourmet home-cooked meals', 'predg': 'is a chess master who participates in national tournaments', 'predh': 'enjoys skydiving', 'predi': 'is allergic to anything', 'predj': 'does practice yoga', 'predk': 'does enjoy mountain biking', 'predl': 'is a cybersecurity expert', 'predm': 'enjoys camping and organizing outdoor survival workshops', 'predn': 'enjoys logic puzzles', 'predo': 'collects limited-edition art prints from contemporary artists', 'predp': 'has a pet dog', 'predq': 'practices calligraphy', 'predr': 'frequently participates in hackathons and coding competitions', 'preds': 'is an amateur astronomer who builds and uses custom telescopes', 'predt': 'is a dedicated volunteer for local community service projects', 'predu': 'enjoys salsa dancing', 'predv': 'owns an extensive assortment of vintage comic book memorabilia', 'predw': 'enjoys bird watching', 'predx': 'enjoys deep-sea diving and exploring underwater caves', 'predy': 'enjoys stargazing', 'predz': 'hosts a YouTube channel dedicated to art tutorials', '~propositiona': 'A river does not flow uphill on Tuesdays.', 'propositiona': 'A river flows uphill only on Tuesdays.', '~propositionb': 'A desert does not bloom with snowdrops every year.', 'propositionb': 'A desert blooms with snowdrops every year.', '~propositionc': 'Glass rain does not fall on a distant planet.', 'propositionc': 'Glass rain falls on a distant planet.', '~propositiond': 'A frog does not sing opera in the swamp at night.', 'propositiond': 'A frog sings opera in the swamp at night.', '~propositione': 'A bridge does not sing when it is crossed.', 'propositione': 'A bridge sings when it is crossed.'} |
Larry, Norman, Marta, Dina, Philip, Sharon are the only persons in the room.
if “Norman is a scotch connoisseur” then “not everyone in the room is not a scotch connoisseur or hates Laura”
if “no one outside the room does not compose and performs experimental electronic music or is a sibling of Darrell” then “everyone in the room who enjoys spelunking is older than Jimmy”
if “Marta and Philip are sibling of Elbert” then “at least one person in the room is a happy creative person or hosts regular workshops on creative writing or both”
if “Sharon is older than Lois” then “someone who hosts regular game nights featuring complex strategy games is a sibling of someone who is a sibling of Dionne”
no one anywhere bakes bread at home if they is richer than Jimmy
“Not all swans in one park are blue.” or “A bird does not tweet using morse code.” but not both
everyone in the room who is a client of Sally is younger than Peter
someone in the room hosts a popular podcast about emerging technologies
everyone in the room who is not happy, not quiet, not humble is wise
Philip is formal
Philip is kind
everyone in the room who is allergic to anything is not creative, not formal
Dina and Norman are respectively organized and humble
Dina is curious
“A book can be opened only at midnight.” or “A pen exists that only writes secrets.” but not both
everyone in the room who is organized composes and performs experimental electronic music
at most two persons in the room regularly contributes to tech forums and online communities
everyone in the room is a sibling of Richard if they is not a formal european, is tall and cannot play the guitar
A pen does not exist that only writes secrets.
Norman is a sibling of Sally
A tower does not lean significantly without falling.
everyone in the room who practices digital art enjoys spelunking
Dina drives a hybrid car
Philip enjoys spelunking
Norman enjoys spelunking
everyone in the room is not hated by Teresa if and only if they does not enjoy fishing
Norman is a organized kind wise tourist
exactly four persons in the room is a formal wise strong tall tourist
“everyone in the room does not enjoy trail running, does not compete in national level swimming championships or does not enjoy windsurfing” if “Dina is not a night owl” and vice versa
everyone in the room does not enjoy spelunking if they is a scotch connoisseur, does not drive a hybrid car or is not a night owl
at most two persons in the room is not a night owl
it is not the case that “Dina does not compete in national level swimming championships”
if someone does not enjoy windsurfing, does not collect foreign coins or does not bake bread at home then he/she either does not compete in national level swimming championships or does not collect antique clocks but not both and vice versa
it is true that “Norman does not create YouTube content”
everyone outside the room does not enjoy windsurfing
everyone in the room hosts regular workshops on creative writing
everyone outside the room does not drive a hybrid car
everyone in the room either does not enjoy fishing or does not host a popular podcast about emerging technologies but not both only if they enjoys camping and organizing outdoor survival workshops
everyone in the room does not create YouTube content and does not watche fantasy movies if they is not a client of Costco, does not drive a hybrid car and does not enjoy fishing
everyone in the room is not a client of Costco, is not a scotch connoisseur or does not play video games if they is not a client of Costco and cannot play the piano
not everyone in the room does not collect antique clocks
everyone in the room cannot play the piano
everyone in the room does not play video games, does not compete in national level swimming championships or does not drive a hybrid car
if someone is not a scotch connoisseur then he/she does not host a popular podcast about emerging technologies and vice versa
everyone in the room is not a client of Costco
everyone in the room does not enjoy camping and organizing outdoor survival workshops only if they is not a night owl and does not host a popular podcast about emerging technologies
if someone cannot play the piano then he/she does not create large-scale murals for public art installations, does not drive a hybrid car or is not allergic to anything
not everyone in the room can play the piano
Larry either is not a night owl or does not host regular game nights featuring complex strategy games but not both
if “Norman is a scotch connoisseur” then “not everyone in the room is not a scotch connoisseur or hates Laura”
if “no one outside the room does not compose and performs experimental electronic music or is a sibling of Darrell” then “everyone in the room who enjoys spelunking is older than Jimmy”
if “Marta and Philip are sibling of Elbert” then “at least one person in the room is a happy creative person or hosts regular workshops on creative writing or both”
if “Sharon is older than Lois” then “someone who hosts regular game nights featuring complex strategy games is a sibling of someone who is a sibling of Dionne”
no one anywhere bakes bread at home if they is richer than Jimmy
“Not all swans in one park are blue.” or “A bird does not tweet using morse code.” but not both
everyone in the room who is a client of Sally is younger than Peter
someone in the room hosts a popular podcast about emerging technologies
everyone in the room who is not happy, not quiet, not humble is wise
Philip is formal
Philip is kind
everyone in the room who is allergic to anything is not creative, not formal
Dina and Norman are respectively organized and humble
Dina is curious
“A book can be opened only at midnight.” or “A pen exists that only writes secrets.” but not both
everyone in the room who is organized composes and performs experimental electronic music
at most two persons in the room regularly contributes to tech forums and online communities
everyone in the room is a sibling of Richard if they is not a formal european, is tall and cannot play the guitar
A pen does not exist that only writes secrets.
Norman is a sibling of Sally
A tower does not lean significantly without falling.
everyone in the room who practices digital art enjoys spelunking
Dina drives a hybrid car
Philip enjoys spelunking
Norman enjoys spelunking
everyone in the room is not hated by Teresa if and only if they does not enjoy fishing
Norman is a organized kind wise tourist
exactly four persons in the room is a formal wise strong tall tourist
if “A pen does not exist that only writes secrets.” then “at most three persons in the room is a sibling of Fred”
“Randall is a client of Marta” only if “everyone in the room is not hated by Sally if they is not a old funny tourist”
“no one outside the room cannot play the guitar or is a client of Laura” only if “it is true that “everyone in the room who competes in national level swimming championships is not wise””
if “it is not the case that “Dina and Peter like each other”” then “everyone in the room creates large-scale murals for public art installations only if they is not wise”
“Dina is a creative european” only if “everyone in the room who is quieter than Catherine does not hate Teresa”
Vicki is hated by Elbert
if someone watches fantasy movies then he/she is not hated by Catherine and vice versa
exactly two persons in the room likes Brenda
it is true that “Larry and Dionne are happy formal persons”
Dina is a sibling of Lois
only one person in the room is brave
someone anywhere is not liked by Jimmy
more than one person in the room is not old, not creative
everyone in the room is not old if they drives a hybrid car
everyone anywhere who is a night owl is older than Lisa
Vicki is a brave european
everyone in the room does not collect antique clocks if they is a brave wise person
Dionne and Vicki are respectively humble and tall
Sharon watches fantasy movies
Teresa and Vicki hate each other
Kathyn is a patient quiet person
Dionne collects antique clocks
“Not all swans in one park are blue.” and “A bird tweets using morse code.”
everyone anywhere who is older than Mildred is happy
no old person in the room is tall
Alonzo is not hated by Peter
at least one person in the room is a quiet tall formal curious european
at most two persons in the room is a creative curious formal tall wise patient organized european
everyone in the room is a curious tourist only if they does not regularly contributes to tech forums and online communities | A bird tweets using morse code. | entailment | room(mary)&room(paul)&room(fred)&room(alice)&room(john)&room(susan)&(![X]:(room(X)=>(X='mary'|X='paul'|X='fred'|X='alice'|X='john'|X='susan')))&
((preds(paul))=>(~![X]:(room(X)=>(((hate(mike,X))|(~preds(X)))))))&
((~?[X]:(~room(X)=>(((sibling(ulysses,X))|(~predp(X))))))=>(![X]:(room(X)=>(((predt(X))=>(older(patricia,X)))))))&
((sibling(hannah,fred)&sibling(hannah,john))=>(((?[X]:(room(X)&((happy(X)&creative(X)&person(X))|(predd(X))))))))&
((older(xena,susan))=>(?[X,Y]:((predm(X))&(sibling(david,Y))&(sibling(X,Y)))))&
(~?[X]:(anywhere(X)=>(((richer(patricia,X))=>(predw(X))))))&
(((~propositionb)<~>(~propositione)))&
(![X]:(room(X)=>(((client(rachel,X))=>(younger(yves,X))))))&
(?[X]:(room(X)&(predx(X))))&
(![X]:(room(X)=>(((~happy(X)&~quiet(X)&~humble(X))=>(wise(X))))))&
(formal(john))&
(kind(john))&
(![X]:(room(X)=>(((prede(X))=>(~creative(X)&~formal(X))))))&
((organized(alice))&(humble(paul)))&
(curious(alice))&
(((propositiond)<~>(propositiona)))&
(![X]:(room(X)=>(((organized(X))=>(predp(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&predy(A)&predy(B)&predy(C))))&
(![X]:(room(X)=>(((((~(formal(X)&european(X)))&(tall(X))&(~predq(X))))=>(sibling(lisa,X))))))&
(~propositiona)&
(sibling(rachel,paul))&
(~propositionc)&
(![X]:(room(X)=>(((predz(X))=>(predt(X))))))&
(predn(alice))&
(predt(john))&
(predt(paul))&
(![X]:(room(X)=>(((~hate(X,quentin))<=>(~predh(X))))))&
(organized(paul)&kind(paul)&wise(paul)&tourist(paul))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)&formal(E)&wise(E)&strong(E)&tall(E)&tourist(E)))))&
((~predg(alice))<=>(![X]:(room(X)=>(((~predb(X))|(~predv(X))|(~predj(X)))))))&
(![X]:(room(X)=>(((((preds(X))|(~predn(X))|(~predg(X))))=>(~predt(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&~predg(A)&~predg(B)&~predg(C))))&
(~(~predv(alice)))&
((![X]:((((~predj(X))|(~predk(X))|(~predw(X))))<=>(((~predv(X))<~>(~predr(X)))))))&
(~predi(paul))&
(![X]:(~room(X)=>(~predj(X))))&
(![X]:(room(X)=>(predd(X))))&
(![X]:(~room(X)=>(~predn(X))))&
(![X]:(room(X)=>(((predu(X))<=(((~predh(X))<~>(~predx(X))))))))&
(![X]:(room(X)=>(((((~predo(X))&(~predn(X))&(~predh(X))))=>(((~predi(X))&(~predl(X))))))))&
(![X]:(room(X)=>(((((~predo(X))&(~preda(X))))=>(((~predo(X))|(~preds(X))|(~predf(X))))))))&
(~![X]:(room(X)=>(~predr(X))))&
(![X]:(room(X)=>(~preda(X))))&
(![X]:(room(X)=>(((~predf(X))|(~predv(X))|(~predn(X))))))&
((![X]:((~preds(X))<=>(~predx(X)))))&
(![X]:(room(X)=>(~predo(X))))&
(![X]:(room(X)=>(((((~predg(X))&(~predx(X))))<=(~predu(X))))))&
((![X]:((~preda(X))=>(((~predc(X))|(~predn(X))|(~prede(X)))))))&
(~![X]:(room(X)=>(preda(X))))&
(((~predg(mary))<~>(~predm(mary))))&
((preds(paul))=>(~![X]:(room(X)=>(((hate(mike,X))|(~preds(X)))))))&
((~?[X]:(~room(X)=>(((sibling(ulysses,X))|(~predp(X))))))=>(![X]:(room(X)=>(((predt(X))=>(older(patricia,X)))))))&
((sibling(hannah,fred)&sibling(hannah,john))=>(((?[X]:(room(X)&((happy(X)&creative(X)&person(X))|(predd(X))))))))&
((older(xena,susan))=>(?[X,Y]:((predm(X))&(sibling(david,Y))&(sibling(X,Y)))))&
(~?[X]:(anywhere(X)=>(((richer(patricia,X))=>(predw(X))))))&
(((~propositionb)<~>(~propositione)))&
(![X]:(room(X)=>(((client(rachel,X))=>(younger(yves,X))))))&
(?[X]:(room(X)&(predx(X))))&
(![X]:(room(X)=>(((~happy(X)&~quiet(X)&~humble(X))=>(wise(X))))))&
(formal(john))&
(kind(john))&
(![X]:(room(X)=>(((prede(X))=>(~creative(X)&~formal(X))))))&
((organized(alice))&(humble(paul)))&
(curious(alice))&
(((propositiond)<~>(propositiona)))&
(![X]:(room(X)=>(((organized(X))=>(predp(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&predy(A)&predy(B)&predy(C))))&
(![X]:(room(X)=>(((((~(formal(X)&european(X)))&(tall(X))&(~predq(X))))=>(sibling(lisa,X))))))&
(~propositiona)&
(sibling(rachel,paul))&
(~propositionc)&
(![X]:(room(X)=>(((predz(X))=>(predt(X))))))&
(predn(alice))&
(predt(john))&
(predt(paul))&
(![X]:(room(X)=>(((~hate(X,quentin))<=>(~predh(X))))))&
(organized(paul)&kind(paul)&wise(paul)&tourist(paul))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)&formal(E)&wise(E)&strong(E)&tall(E)&tourist(E)))))&
((~propositiona)=>(~(?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&sibling(ian,A)&sibling(ian,B)&sibling(ian,C)&sibling(ian,D)))))&
((client(fred,nancy))=>(![X]:(room(X)=>(((~(old(X)&funny(X)&tourist(X)))=>(~hate(X,rachel)))))))&
((~?[X]:(~room(X)=>(((client(mike,X))|(~predq(X))))))=>(![X]:(room(X)=>(((predv(X))=>(~wise(X)))))))&
((~((like(alice,yves) & like(yves,alice))))=>(![X]:(room(X)=>(((~wise(X))<=(predc(X)))))))&
((creative(alice)&european(alice))=>(![X]:(room(X)=>(((quieter(oscar,X))=>(~hate(quentin,X)))))))&
(hate(george,hannah))&
((![X]:((predl(X))<=>(~hate(X,oscar)))))&
((?[A,B]:(room(A)&room(B)&(A!=B)&like(kyle,A)&like(kyle,B)))&(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&like(kyle,A)&like(kyle,B)&like(kyle,C)))))&
(happy(mary)&formal(mary)&person(mary)&happy(david)&formal(david)&person(david))&
(sibling(xena,alice))&
(((?[X]:(room(X)&brave(X)))&(![X,Y]:((room(X)&room(Y)&(brave(X))&(brave(Y)))=>(X=Y)))))&
(?[X]:(anywhere(X)&(~like(X,patricia))))&
((?[X,Y]:(room(X)&room(Y)&(~old(X)&~creative(X)&~old(Y)&~creative(Y))&(X!=Y))))&
(![X]:(room(X)=>(((predn(X))=>(~old(X))))))&
(![X]:(anywhere(X)=>(((predg(X))=>(older(tina,X))))))&
(brave(george)&european(george))&
(![X]:(room(X)=>(((brave(X)&wise(X)&person(X))=>(~predr(X))))))&
((humble(david))&(tall(george)))&
(predl(susan))&
((hate(quentin,george) & hate(george,quentin)))&
(patient(lucy)&quiet(lucy)&person(lucy))&
(predr(david))&
(((~propositionb)&(propositione)))&
(![X]:(anywhere(X)=>(((older(julia,X))=>(happy(X))))))&
(![X]:(room(X)=>(old(X)=>~tall(X))))&
(~hate(emma,yves))&
(((?[X]:(room(X)&quiet(X)&tall(X)&formal(X)&curious(X)&european(X)))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&creative(A)&curious(A)&formal(A)&tall(A)&wise(A)&patient(A)&organized(A)&european(A)&creative(B)&curious(B)&formal(B)&tall(B)&wise(B)&patient(B)&organized(B)&european(B)&creative(C)&curious(C)&formal(C)&tall(C)&wise(C)&patient(C)&organized(C)&european(C))))&
(![X]:(room(X)=>(((~predy(X))<=(curious(X)&tourist(X)))))) | propositione | [
"p100",
"hypothesis"
] | % Running in auto input_syntax mode. Trying TPTP
% Refutation found. Thanks to Tanya!
% SZS status Unsatisfiable for 2676578107943283298275865
% SZS output start Proof for 2676578107943283298275865
125. propositione & ~propositionb [input p100]
132. ~propositione [input hypothesis]
1360. propositione [cnf transformation 125]
1368. ~propositione [cnf transformation 132]
1441. 17 <=> propositione [avatar definition]
1584. 17 [avatar split clause 1360,1441]
1586. ~17 [avatar split clause 1368,1441]
1587. $false [avatar sat refutation 1584,1586]
% SZS output end Proof for 2676578107943283298275865
% ------------------------------
% Version: Vampire 4.8 (commit 8d999c135 on 2023-07-12 16:43:10 +0000)
% Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% Termination reason: Refutation
% Memory used [KB]: 6140
% Time elapsed: 0.048 s
% ------------------------------
% ------------------------------
| 1,436 | 128 | [
100
] | {'p100': '% Running in auto input_syntax mode. Trying TPTP\n% SZS status Satisfiable'} | true | {'mary': 'larry', 'paul': 'norman', 'fred': 'marta', 'alice': 'dina', 'john': 'philip', 'susan': 'sharon', 'lucy': 'steven', 'david': 'dionne', 'emma': 'alonzo', 'george': 'vicki', 'hannah': 'elbert', 'ian': 'fred', 'julia': 'mildred', 'kyle': 'brenda', 'lisa': 'richard', 'mike': 'laura', 'nancy': 'randall', 'oscar': 'catherine', 'patricia': 'jimmy', 'quentin': 'teresa', 'rachel': 'sally', 'steve': 'kathy', 'tina': 'lisa', 'ulysses': 'darrell', 'victoria': 'tyler', 'william': 'frank', 'xena': 'lois', 'yves': 'peter', 'Mary': 'Larry', 'Paul': 'Norman', 'Fred': 'Marta', 'Alice': 'Dina', 'John': 'Philip', 'Susan': 'Sharon', 'Lucy': 'Steven', 'David': 'Dionne', 'Emma': 'Alonzo', 'George': 'Vicki', 'Hannah': 'Elbert', 'Ian': 'Fred', 'Julia': 'Mildred', 'Kyle': 'Brenda', 'Lisa': 'Richard', 'Mike': 'Laura', 'Nancy': 'Randall', 'Oscar': 'Catherine', 'Patricia': 'Jimmy', 'Quentin': 'Teresa', 'Rachel': 'Sally', 'Steve': 'Kathy', 'Tina': 'Lisa', 'Ulysses': 'Darrell', 'Victoria': 'Tyler', 'William': 'Frank', 'Xena': 'Lois', 'Yves': 'Peter', '~preda': 'cannot play the piano', '~predb': 'does not enjoy trail running', '~predc': 'does not create large-scale murals for public art installations', '~predd': 'does not host regular workshops on creative writing', '~prede': 'is not allergic to anything', '~predf': 'does not play video games', '~predg': 'is not a night owl', '~predh': 'does not enjoy fishing', '~predi': 'does not create YouTube content', '~predj': 'does not enjoy windsurfing', '~predk': 'does not collect foreign coins', '~predl': 'does not watche fantasy movies', '~predm': 'does not host regular game nights featuring complex strategy games', '~predn': 'does not drive a hybrid car', '~predo': 'is not a client of Costco', '~predp': 'does not compose and performs experimental electronic music', '~predq': 'cannot play the guitar', '~predr': 'does not collect antique clocks', '~preds': 'is not a scotch connoisseur', '~predt': 'does not enjoy spelunking', '~predu': 'does not enjoy camping and organizing outdoor survival workshops', '~predv': 'does not compete in national level swimming championships', '~predw': 'does not bake bread at home', '~predx': 'does not host a popular podcast about emerging technologies', '~predy': 'does not regularly contributes to tech forums and online communities', '~predz': 'does not practice digital art', 'preda': 'can play the piano', 'predb': 'does enjoy trail running', 'predc': 'creates large-scale murals for public art installations', 'predd': 'hosts regular workshops on creative writing', 'prede': 'is allergic to anything', 'predf': 'plays video games', 'predg': 'is a night owl', 'predh': 'enjoys fishing', 'predi': 'creates YouTube content', 'predj': 'enjoys windsurfing', 'predk': 'collects foreign coins', 'predl': 'watches fantasy movies', 'predm': 'hosts regular game nights featuring complex strategy games', 'predn': 'drives a hybrid car', 'predo': 'is a client of Costco', 'predp': 'composes and performs experimental electronic music', 'predq': 'can play the guitar', 'predr': 'collects antique clocks', 'preds': 'is a scotch connoisseur', 'predt': 'enjoys spelunking', 'predu': 'enjoys camping and organizing outdoor survival workshops', 'predv': 'competes in national level swimming championships', 'predw': 'bakes bread at home', 'predx': 'hosts a popular podcast about emerging technologies', 'predy': 'regularly contributes to tech forums and online communities', 'predz': 'practices digital art', '~propositiona': 'A pen does not exist that only writes secrets.', 'propositiona': 'A pen exists that only writes secrets.', '~propositionb': 'Not all swans in one park are blue.', 'propositionb': 'All swans in one park are blue.', '~propositionc': 'A tower does not lean significantly without falling.', 'propositionc': 'A tower leans significantly but never falls.', '~propositiond': 'A book cannot be opened only at midnight.', 'propositiond': 'A book can be opened only at midnight.', '~propositione': 'A bird does not tweet using morse code.', 'propositione': 'A bird tweets using morse code.'} |
Carl, Joe, Holly, Loyd, Paul, Linda are the only persons in the room.
if “Joe can play the guitar” then “not everyone in the room cannot play the guitar or hates Richard”
if “no one outside the room does not collect classic novels or is a sibling of Ray” then “everyone in the room who is a client of Costco is older than Catherine”
if “Holly and Paul are sibling of Jeff” then “at least one person in the room is a happy creative person or is dedicated to sustainable living and zero-waste practices or both”
if “Linda is older than Marilyn” then “someone who enjoys kayaking is a sibling of someone who is a sibling of Jennifer”
no one anywhere collects limited-edition art prints from contemporary artists if they is richer than Catherine
“A pizza does not exist that tastes like ice cream.” or “A bridge does not sing when it is crossed.” but not both
everyone in the room who is a client of Shirley is younger than Brian
someone in the room collects vintage vinyl records
everyone in the room who is not happy, not quiet, not humble is wise
Paul is formal
Paul is kind
everyone in the room who collects foreign coins is not creative, not formal
Loyd and Joe are respectively organized and humble
Loyd is curious
“A door randomly teleports those who pass through it.” or “A frog sings opera in the swamp at night.” but not both
everyone in the room who is organized collects classic novels
at most two persons in the room designs and sews custom cosplay costumes for conventions
everyone in the room is a sibling of John if they is not a formal european, is tall and does not bake bread at home
A frog does not sing opera in the swamp at night.
Joe is a sibling of Shirley
A desert does not bloom with snowdrops every year.
everyone in the room who uses a Windows laptop is a client of Costco
Loyd has a tattoo
Paul is a client of Costco
Joe is a client of Costco
everyone in the room is not hated by David if and only if they is not a chess master who participates in national tournaments
Joe is a organized kind wise tourist
exactly four persons in the room is a formal wise strong tall tourist
“everyone in the room is not a coffee connoisseur, is not a culinary enthusiast who experiments with international cuisines or does not own an extensive assortment of vintage comic book memorabilia” if “Loyd does not own a high-end gaming PC with custom-built components” and vice versa
everyone in the room is not a client of Costco if they can play the guitar, does not have a tattoo or does not own a high-end gaming PC with custom-built components
at most two persons in the room does not own a high-end gaming PC with custom-built components
it is not the case that “Loyd is not a culinary enthusiast who experiments with international cuisines”
if someone does not own an extensive assortment of vintage comic book memorabilia, does not own a telescope or does not collect limited-edition art prints from contemporary artists then he/she either is not a culinary enthusiast who experiments with international cuisines or does not practice pilates but not both and vice versa
it is true that “Joe is not a drone photographer”
everyone outside the room does not own an extensive assortment of vintage comic book memorabilia
everyone in the room is dedicated to sustainable living and zero-waste practices
everyone outside the room does not have a tattoo
everyone in the room either is not a chess master who participates in national tournaments or does not collect vintage vinyl records but not both only if they mentors a youth basketball team on weekends
everyone in the room is not a drone photographer and does not enjoy snowboarding if they does not enjoy watercolor painting, does not have a tattoo and is not a chess master who participates in national tournaments
everyone in the room does not enjoy watercolor painting, cannot play the guitar or is not a client of Meta if they does not enjoy watercolor painting and does not enjoy fishing
not everyone in the room does not practice pilates
everyone in the room does not enjoy fishing
everyone in the room is not a client of Meta, is not a culinary enthusiast who experiments with international cuisines or does not have a tattoo
if someone cannot play the guitar then he/she does not collect vintage vinyl records and vice versa
everyone in the room does not enjoy watercolor painting
everyone in the room does not mentor a youth basketball team on weekends only if they does not own a high-end gaming PC with custom-built components and does not collect vintage vinyl records
if someone does not enjoy fishing then he/she is not a wine connoisseur, does not have a tattoo or does not collect foreign coins
not everyone in the room enjoys fishing
Carl either does not own a high-end gaming PC with custom-built components or does not enjoy kayaking but not both
if “Joe can play the guitar” then “not everyone in the room cannot play the guitar or hates Richard”
if “no one outside the room does not collect classic novels or is a sibling of Ray” then “everyone in the room who is a client of Costco is older than Catherine”
if “Holly and Paul are sibling of Jeff” then “at least one person in the room is a happy creative person or is dedicated to sustainable living and zero-waste practices or both”
if “Linda is older than Marilyn” then “someone who enjoys kayaking is a sibling of someone who is a sibling of Jennifer”
no one anywhere collects limited-edition art prints from contemporary artists if they is richer than Catherine
“A pizza does not exist that tastes like ice cream.” or “A bridge does not sing when it is crossed.” but not both
everyone in the room who is a client of Shirley is younger than Brian
someone in the room collects vintage vinyl records
everyone in the room who is not happy, not quiet, not humble is wise
Paul is formal
Paul is kind
everyone in the room who collects foreign coins is not creative, not formal
Loyd and Joe are respectively organized and humble
Loyd is curious
“A door randomly teleports those who pass through it.” or “A frog sings opera in the swamp at night.” but not both
everyone in the room who is organized collects classic novels
at most two persons in the room designs and sews custom cosplay costumes for conventions
everyone in the room is a sibling of John if they is not a formal european, is tall and does not bake bread at home
A frog does not sing opera in the swamp at night.
Joe is a sibling of Shirley
A desert does not bloom with snowdrops every year.
everyone in the room who uses a Windows laptop is a client of Costco
Loyd has a tattoo
Paul is a client of Costco
Joe is a client of Costco
everyone in the room is not hated by David if and only if they is not a chess master who participates in national tournaments
Joe is a organized kind wise tourist
exactly four persons in the room is a formal wise strong tall tourist
either “it is not the case that “Linda and Benedict like each other”” or “Holly is organized” but not both
exactly four persons in the room is not a funny person
exactly four persons in the room is a curious tourist
Paul is not hated by Ronald
Holly is tall
Jesus is a funny tourist, likes Ray or is hated by Brian
it is not the case that “Jackie is not a chess master who participates in national tournaments”
everyone in the room is a kind european
everyone anywhere is tall or does not own an extensive assortment of vintage comic book memorabilia
exactly three persons in the room is humble
everyone anywhere is a patient tourist
Carl is a brave tourist
John and Benedict like each other
it is not the case that “Jeff and Shirley hate each other”
“A pizza exists that tastes like ice cream.” and “A door randomly teleports those who pass through it.”
Carl is a wise tourist
exactly four persons in the room does not own a telescope
Jesus and Marilyn like each other
Carl is quiet
Alonzo is a organized tourist
Loyd is a wise tourist
at least three persons in the room hates Ray
Jesus is a wise tourist
Joe and David like each other
John is wise
Robert is a strong european and does not have a tattoo | Carl is kind | entailment | room(mary)&room(paul)&room(fred)&room(alice)&room(john)&room(susan)&(![X]:(room(X)=>(X='mary'|X='paul'|X='fred'|X='alice'|X='john'|X='susan')))&
((preds(paul))=>(~![X]:(room(X)=>(((hate(mike,X))|(~preds(X)))))))&
((~?[X]:(~room(X)=>(((sibling(ulysses,X))|(~predp(X))))))=>(![X]:(room(X)=>(((predt(X))=>(older(patricia,X)))))))&
((sibling(hannah,fred)&sibling(hannah,john))=>(((?[X]:(room(X)&((happy(X)&creative(X)&person(X))|(predd(X))))))))&
((older(xena,susan))=>(?[X,Y]:((predm(X))&(sibling(david,Y))&(sibling(X,Y)))))&
(~?[X]:(anywhere(X)=>(((richer(patricia,X))=>(predw(X))))))&
(((~propositionb)<~>(~propositione)))&
(![X]:(room(X)=>(((client(rachel,X))=>(younger(yves,X))))))&
(?[X]:(room(X)&(predx(X))))&
(![X]:(room(X)=>(((~happy(X)&~quiet(X)&~humble(X))=>(wise(X))))))&
(formal(john))&
(kind(john))&
(![X]:(room(X)=>(((prede(X))=>(~creative(X)&~formal(X))))))&
((organized(alice))&(humble(paul)))&
(curious(alice))&
(((propositiond)<~>(propositiona)))&
(![X]:(room(X)=>(((organized(X))=>(predp(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&predy(A)&predy(B)&predy(C))))&
(![X]:(room(X)=>(((((~(formal(X)&european(X)))&(tall(X))&(~predq(X))))=>(sibling(lisa,X))))))&
(~propositiona)&
(sibling(rachel,paul))&
(~propositionc)&
(![X]:(room(X)=>(((predz(X))=>(predt(X))))))&
(predn(alice))&
(predt(john))&
(predt(paul))&
(![X]:(room(X)=>(((~hate(X,quentin))<=>(~predh(X))))))&
(organized(paul)&kind(paul)&wise(paul)&tourist(paul))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)&formal(E)&wise(E)&strong(E)&tall(E)&tourist(E)))))&
((~predg(alice))<=>(![X]:(room(X)=>(((~predb(X))|(~predv(X))|(~predj(X)))))))&
(![X]:(room(X)=>(((((preds(X))|(~predn(X))|(~predg(X))))=>(~predt(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&~predg(A)&~predg(B)&~predg(C))))&
(~(~predv(alice)))&
((![X]:((((~predj(X))|(~predk(X))|(~predw(X))))<=>(((~predv(X))<~>(~predr(X)))))))&
(~predi(paul))&
(![X]:(~room(X)=>(~predj(X))))&
(![X]:(room(X)=>(predd(X))))&
(![X]:(~room(X)=>(~predn(X))))&
(![X]:(room(X)=>(((predu(X))<=(((~predh(X))<~>(~predx(X))))))))&
(![X]:(room(X)=>(((((~predo(X))&(~predn(X))&(~predh(X))))=>(((~predi(X))&(~predl(X))))))))&
(![X]:(room(X)=>(((((~predo(X))&(~preda(X))))=>(((~predo(X))|(~preds(X))|(~predf(X))))))))&
(~![X]:(room(X)=>(~predr(X))))&
(![X]:(room(X)=>(~preda(X))))&
(![X]:(room(X)=>(((~predf(X))|(~predv(X))|(~predn(X))))))&
((![X]:((~preds(X))<=>(~predx(X)))))&
(![X]:(room(X)=>(~predo(X))))&
(![X]:(room(X)=>(((((~predg(X))&(~predx(X))))<=(~predu(X))))))&
((![X]:((~preda(X))=>(((~predc(X))|(~predn(X))|(~prede(X)))))))&
(~![X]:(room(X)=>(preda(X))))&
(((~predg(mary))<~>(~predm(mary))))&
((preds(paul))=>(~![X]:(room(X)=>(((hate(mike,X))|(~preds(X)))))))&
((~?[X]:(~room(X)=>(((sibling(ulysses,X))|(~predp(X))))))=>(![X]:(room(X)=>(((predt(X))=>(older(patricia,X)))))))&
((sibling(hannah,fred)&sibling(hannah,john))=>(((?[X]:(room(X)&((happy(X)&creative(X)&person(X))|(predd(X))))))))&
((older(xena,susan))=>(?[X,Y]:((predm(X))&(sibling(david,Y))&(sibling(X,Y)))))&
(~?[X]:(anywhere(X)=>(((richer(patricia,X))=>(predw(X))))))&
(((~propositionb)<~>(~propositione)))&
(![X]:(room(X)=>(((client(rachel,X))=>(younger(yves,X))))))&
(?[X]:(room(X)&(predx(X))))&
(![X]:(room(X)=>(((~happy(X)&~quiet(X)&~humble(X))=>(wise(X))))))&
(formal(john))&
(kind(john))&
(![X]:(room(X)=>(((prede(X))=>(~creative(X)&~formal(X))))))&
((organized(alice))&(humble(paul)))&
(curious(alice))&
(((propositiond)<~>(propositiona)))&
(![X]:(room(X)=>(((organized(X))=>(predp(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&predy(A)&predy(B)&predy(C))))&
(![X]:(room(X)=>(((((~(formal(X)&european(X)))&(tall(X))&(~predq(X))))=>(sibling(lisa,X))))))&
(~propositiona)&
(sibling(rachel,paul))&
(~propositionc)&
(![X]:(room(X)=>(((predz(X))=>(predt(X))))))&
(predn(alice))&
(predt(john))&
(predt(paul))&
(![X]:(room(X)=>(((~hate(X,quentin))<=>(~predh(X))))))&
(organized(paul)&kind(paul)&wise(paul)&tourist(paul))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)&formal(E)&wise(E)&strong(E)&tall(E)&tourist(E)))))&
((~((like(susan,william) & like(william,susan))))<~>(organized(fred)))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&~(funny(A)&person(A))&~(funny(B)&person(B))&~(funny(C)&person(C))&~(funny(D)&person(D))))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&~(funny(A)&person(A))&~(funny(B)&person(B))&~(funny(C)&person(C))&~(funny(D)&person(D))&~(funny(E)&person(E))))))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&curious(A)&tourist(A)&curious(B)&tourist(B)&curious(C)&tourist(C)&curious(D)&tourist(D)))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&curious(A)&tourist(A)&curious(B)&tourist(B)&curious(C)&tourist(C)&curious(D)&tourist(D)&curious(E)&tourist(E)))))&
(~hate(john,tina))&
(tall(fred))&
(((funny(oscar)&tourist(oscar))|(like(ulysses,oscar))|(hate(oscar,yves))))&
(~(~predh(ian)))&
(![X]:(room(X)=>(kind(X)&european(X))))&
(![X]:(anywhere(X)=>(((~predj(X))|(tall(X))))))&
((?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&humble(A)&humble(B)&humble(C)))&(~(?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&humble(A)&humble(B)&humble(C)&humble(D)))))&
(![X]:(anywhere(X)=>(patient(X)&tourist(X))))&
(brave(mary)&tourist(mary))&
((like(lisa,william) & like(william,lisa)))&
(~((hate(hannah,rachel) & hate(rachel,hannah))))&
(((propositionb)&(propositiond)))&
(wise(mary)&tourist(mary))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&~predk(A)&~predk(B)&~predk(C)&~predk(D)))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&~predk(A)&~predk(B)&~predk(C)&~predk(D)&~predk(E)))))&
((like(oscar,xena) & like(xena,oscar)))&
(quiet(mary))&
(organized(george)&tourist(george))&
(wise(alice)&tourist(alice))&
(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&hate(ulysses,A)&hate(ulysses,B)&hate(ulysses,C)))&
(wise(oscar)&tourist(oscar))&
((like(paul,quentin) & like(quentin,paul)))&
(wise(lisa))&
(((strong(lucy)&european(lucy))&(~predn(lucy)))) | kind(mary) | [
"p0",
"p85",
"hypothesis"
] | % Running in auto input_syntax mode. Trying TPTP
% Refutation found. Thanks to Tanya!
% SZS status Unsatisfiable for 4771150496480541890123264
% SZS output start Proof for 4771150496480541890123264
25. ! [X0] : (room(X0) => (susan = X0 | john = X0 | alice = X0 | fred = X0 | paul = X0 | mary = X0)) & room(susan) & room(john) & room(alice) & room(fred) & room(paul) & room(mary) [input p0]
110. ! [X0] : (room(X0) => (european(X0) & kind(X0))) [input p85]
129. ~kind(mary) [input hypothesis]
213. ! [X0] : ((susan = X0 | john = X0 | alice = X0 | fred = X0 | paul = X0 | mary = X0) | ~room(X0)) & room(susan) & room(john) & room(alice) & room(fred) & room(paul) & room(mary) [ennf transformation 25]
214. ! [X0] : (susan = X0 | john = X0 | alice = X0 | fred = X0 | paul = X0 | mary = X0 | ~room(X0)) & room(susan) & room(john) & room(alice) & room(fred) & room(paul) & room(mary) [flattening 213]
253. ! [X0] : ((european(X0) & kind(X0)) | ~room(X0)) [ennf transformation 110]
1130. room(mary) [cnf transformation 214]
1347. ~room(X0) | kind(X0) [cnf transformation 253]
1408. ~kind(mary) [cnf transformation 129]
1699. kind(mary) [resolution 1347,1130]
1736. $false [subsumption resolution 1699,1408]
% SZS output end Proof for 4771150496480541890123264
% ------------------------------
% Version: Vampire 4.8 (commit 8d999c135 on 2023-07-12 16:43:10 +0000)
% Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% Termination reason: Refutation
% Memory used [KB]: 6268
% Time elapsed: 0.053 s
% ------------------------------
% ------------------------------
| 1,296 | 128 | [
0,
85
] | {'p0': '% Running in auto input_syntax mode. Trying TPTP\n% SZS status Satisfiable', 'p85': '% Running in auto input_syntax mode. Trying TPTP\n% SZS status Satisfiable'} | true | {'mary': 'carl', 'paul': 'joe', 'fred': 'holly', 'alice': 'loyd', 'john': 'paul', 'susan': 'linda', 'lucy': 'robert', 'david': 'jennifer', 'emma': 'jonathan', 'george': 'alonzo', 'hannah': 'jeff', 'ian': 'jackie', 'julia': 'james', 'kyle': 'dorothy', 'lisa': 'john', 'mike': 'richard', 'nancy': 'susan', 'oscar': 'jesus', 'patricia': 'catherine', 'quentin': 'david', 'rachel': 'shirley', 'steve': 'sally', 'tina': 'ronald', 'ulysses': 'ray', 'victoria': 'virginia', 'william': 'benedict', 'xena': 'marilyn', 'yves': 'brian', 'Mary': 'Carl', 'Paul': 'Joe', 'Fred': 'Holly', 'Alice': 'Loyd', 'John': 'Paul', 'Susan': 'Linda', 'Lucy': 'Robert', 'David': 'Jennifer', 'Emma': 'Jonathan', 'George': 'Alonzo', 'Hannah': 'Jeff', 'Ian': 'Jackie', 'Julia': 'James', 'Kyle': 'Dorothy', 'Lisa': 'John', 'Mike': 'Richard', 'Nancy': 'Susan', 'Oscar': 'Jesus', 'Patricia': 'Catherine', 'Quentin': 'David', 'Rachel': 'Shirley', 'Steve': 'Sally', 'Tina': 'Ronald', 'Ulysses': 'Ray', 'Victoria': 'Virginia', 'William': 'Benedict', 'Xena': 'Marilyn', 'Yves': 'Brian', '~preda': 'does not enjoy fishing', '~predb': 'is not a coffee connoisseur', '~predc': 'is not a wine connoisseur', '~predd': 'is not dedicated to sustainable living and zero-waste practices', '~prede': 'does not collect foreign coins', '~predf': 'is not a client of Meta', '~predg': 'does not own a high-end gaming PC with custom-built components', '~predh': 'is not a chess master who participates in national tournaments', '~predi': 'is not a drone photographer', '~predj': 'does not own an extensive assortment of vintage comic book memorabilia', '~predk': 'does not own a telescope', '~predl': 'does not enjoy snowboarding', '~predm': 'does not enjoy kayaking', '~predn': 'does not have a tattoo', '~predo': 'does not enjoy watercolor painting', '~predp': 'does not collect classic novels', '~predq': 'does not bake bread at home', '~predr': 'does not practice pilates', '~preds': 'cannot play the guitar', '~predt': 'is not a client of Costco', '~predu': 'does not mentor a youth basketball team on weekends', '~predv': 'is not a culinary enthusiast who experiments with international cuisines', '~predw': 'does not collect limited-edition art prints from contemporary artists', '~predx': 'does not collect vintage vinyl records', '~predy': 'does not design and sews custom cosplay costumes for conventions', '~predz': 'does not use a Windows laptop', 'preda': 'enjoys fishing', 'predb': 'is a coffee connoisseur', 'predc': 'is a wine connoisseur', 'predd': 'is dedicated to sustainable living and zero-waste practices', 'prede': 'collects foreign coins', 'predf': 'is a client of Meta', 'predg': 'owns a high-end gaming PC with custom-built components', 'predh': 'is a chess master who participates in national tournaments', 'predi': 'is a drone photographer', 'predj': 'owns an extensive assortment of vintage comic book memorabilia', 'predk': 'owns a telescope', 'predl': 'enjoys snowboarding', 'predm': 'enjoys kayaking', 'predn': 'has a tattoo', 'predo': 'enjoys watercolor painting', 'predp': 'collects classic novels', 'predq': 'bakes bread at home', 'predr': 'practices pilates', 'preds': 'can play the guitar', 'predt': 'is a client of Costco', 'predu': 'mentors a youth basketball team on weekends', 'predv': 'is a culinary enthusiast who experiments with international cuisines', 'predw': 'collects limited-edition art prints from contemporary artists', 'predx': 'collects vintage vinyl records', 'predy': 'designs and sews custom cosplay costumes for conventions', 'predz': 'uses a Windows laptop', '~propositiona': 'A frog does not sing opera in the swamp at night.', 'propositiona': 'A frog sings opera in the swamp at night.', '~propositionb': 'A pizza does not exist that tastes like ice cream.', 'propositionb': 'A pizza exists that tastes like ice cream.', '~propositionc': 'A desert does not bloom with snowdrops every year.', 'propositionc': 'A desert blooms with snowdrops every year.', '~propositiond': 'A door does not randomly teleport those who pass through it.', 'propositiond': 'A door randomly teleports those who pass through it.', '~propositione': 'A bridge does not sing when it is crossed.', 'propositione': 'A bridge sings when it is crossed.'} |
Victor, Candida, Charles, Zoe, Joe, Donna are the only persons in the room.
if “Candida practices calligraphy” then “not everyone in the room does not practice calligraphy or hates John”
if “no one outside the room does not mentor a youth basketball team on weekends or is a sibling of Ann” then “everyone in the room who collects foreign coins is older than David”
if “Charles and Joe are sibling of Dennis” then “at least one person in the room is a happy creative person or is an expert in identifying and foraging wild edible plants or both”
if “Donna is older than Hana” then “someone who has a saltwater aquarium is a sibling of someone who is a sibling of Raymond”
no one anywhere works as a freelance web developer specializing in e-commerce sites if they is richer than David
“A pen does not exist that only writes secrets.” or “Socks do not disappear worldwide every full moon.” but not both
everyone in the room who is a client of Don is younger than Thomas
someone in the room maintains a personal blog focused on cybersecurity tips
everyone in the room who is not happy, not quiet, not humble is wise
Joe is formal
Joe is kind
everyone in the room who collects first edition books is not creative, not formal
Zoe and Candida are respectively organized and humble
Zoe is curious
“A bridge sings when it is crossed.” or “A clock measures time in various colors.” but not both
everyone in the room who is organized mentors a youth basketball team on weekends
at most two persons in the room is a scotch connoisseur
everyone in the room is a sibling of Nina if they is not a formal european, is tall and does not enjoy stand-up paddleboarding
A clock does not measure time in various colors.
Candida is a sibling of Don
Not all swans in one park are blue.
everyone in the room who makes intricate hand-cut paper art for exhibitions collects foreign coins
Zoe uses a Windows laptop
Joe collects foreign coins
Candida collects foreign coins
everyone in the room is not hated by Ronald if and only if they does not have a vast collection of first-edition science fiction novels
Candida is a organized kind wise tourist
exactly four persons in the room is a formal wise strong tall tourist
“everyone in the room is not dedicated to sustainable living and zero-waste practices, is not a cybersecurity expert or does not regularly goes on multi-day backpacking trips in national parks” if “Zoe does not host regular workshops on creative writing” and vice versa
everyone in the room does not collect foreign coins if they practices calligraphy, does not use a Windows laptop or does not host regular workshops on creative writing
at most two persons in the room does not host regular workshops on creative writing
it is not the case that “Zoe is not a cybersecurity expert”
if someone does not regularly goes on multi-day backpacking trips in national parks, does not enjoy coding in Python or does not work as a freelance web developer specializing in e-commerce sites then he/she either is not a cybersecurity expert or does not collect comic books but not both and vice versa
it is true that “Candida does not host themed dinner parties featuring gourmet home-cooked meals”
everyone outside the room does not regularly goes on multi-day backpacking trips in national parks
everyone in the room is an expert in identifying and foraging wild edible plants
everyone outside the room does not use a Windows laptop
everyone in the room either does not have a vast collection of first-edition science fiction novels or does not maintain a personal blog focused on cybersecurity tips but not both only if they owns a 3D printer
everyone in the room does not host themed dinner parties featuring gourmet home-cooked meals and does not play eSports competitively if they is not a coffee connoisseur, does not use a Windows laptop and does not have a vast collection of first-edition science fiction novels
everyone in the room is not a coffee connoisseur, does not practice calligraphy or does not enjoy virtual reality gaming if they is not a coffee connoisseur and is not a chess master who participates in national tournaments
not everyone in the room does not collect comic books
everyone in the room is not a chess master who participates in national tournaments
everyone in the room does not enjoy virtual reality gaming, is not a cybersecurity expert or does not use a Windows laptop
if someone does not practice calligraphy then he/she does not maintain a personal blog focused on cybersecurity tips and vice versa
everyone in the room is not a coffee connoisseur
everyone in the room does not own a 3D printer only if they does not host regular workshops on creative writing and does not maintain a personal blog focused on cybersecurity tips
if someone is not a chess master who participates in national tournaments then he/she does not practice tai chi, does not use a Windows laptop or does not collect first edition books
not everyone in the room is a chess master who participates in national tournaments
Victor either does not host regular workshops on creative writing or does not have a saltwater aquarium but not both
if “Candida practices calligraphy” then “not everyone in the room does not practice calligraphy or hates John”
if “no one outside the room does not mentor a youth basketball team on weekends or is a sibling of Ann” then “everyone in the room who collects foreign coins is older than David”
if “Charles and Joe are sibling of Dennis” then “at least one person in the room is a happy creative person or is an expert in identifying and foraging wild edible plants or both”
if “Donna is older than Hana” then “someone who has a saltwater aquarium is a sibling of someone who is a sibling of Raymond”
no one anywhere works as a freelance web developer specializing in e-commerce sites if they is richer than David
“A pen does not exist that only writes secrets.” or “Socks do not disappear worldwide every full moon.” but not both
everyone in the room who is a client of Don is younger than Thomas
someone in the room maintains a personal blog focused on cybersecurity tips
everyone in the room who is not happy, not quiet, not humble is wise
Joe is formal
Joe is kind
everyone in the room who collects first edition books is not creative, not formal
Zoe and Candida are respectively organized and humble
Zoe is curious
“A bridge sings when it is crossed.” or “A clock measures time in various colors.” but not both
everyone in the room who is organized mentors a youth basketball team on weekends
at most two persons in the room is a scotch connoisseur
everyone in the room is a sibling of Nina if they is not a formal european, is tall and does not enjoy stand-up paddleboarding
A clock does not measure time in various colors.
Candida is a sibling of Don
Not all swans in one park are blue.
everyone in the room who makes intricate hand-cut paper art for exhibitions collects foreign coins
Zoe uses a Windows laptop
Joe collects foreign coins
Candida collects foreign coins
everyone in the room is not hated by Ronald if and only if they does not have a vast collection of first-edition science fiction novels
Candida is a organized kind wise tourist
exactly four persons in the room is a formal wise strong tall tourist
“everyone in the room is older than Nina” only if “A pen does not exist that only writes secrets.”
““Socks disappear worldwide every full moon.” or “A clock does not measure time in various colors.” but not both” only if “not everyone in the room likes Zoe only if they is a sibling of Linnie or is a sibling of Don or both”
if “everyone in the room uses a Windows laptop” then “A bridge does not sing when it is crossed.”
if “Socks disappear worldwide every full moon.” then “Victor is a client of John, collects first edition books and is a chess master who participates in national tournaments”
if “everyone in the room collects foreign coins or does not have a saltwater aquarium” then “everyone in the room is kind or does not host themed dinner parties featuring gourmet home-cooked meals”
if “Candida is an expert in identifying and foraging wild edible plants” then “no humble person in the room is strong”
either “everyone in the room is not a brave person or does not host regular workshops on creative writing” or “Candida collects comic books” but not both
“Charles does not mentor a youth basketball team on weekends” if “someone in the room practices calligraphy, is a funny european and is a coffee connoisseur”
everyone in the room who collects comic books hosts regular workshops on creative writing
Charles collects comic books
more than one person outside the room is richer than Don
all tall persons in the room are strong
everyone in the room who is a happy european is a organized person
Charles and Victor are sibling of Victor
at least three persons in the room is not hated by Don
someone anywhere is a client of Tracey
everyone in the room does not hate Jason
all quiet persons in the room are strong
someone outside the room collects first edition books
someone in the room enjoys coding in Python
everyone in the room mentors a youth basketball team on weekends if they is not a kind wise person
Keith is quieter than Victor
Victor and Elfriede hate each other
Victor and Charles are formal
everyone in the room is not a patient tourist only if they regularly goes on multi-day backpacking trips in national parks
all quiet persons in the room are funny | Victor is curious | neutral | room(mary)&room(paul)&room(fred)&room(alice)&room(john)&room(susan)&(![X]:(room(X)=>(X='mary'|X='paul'|X='fred'|X='alice'|X='john'|X='susan')))&
((preds(paul))=>(~![X]:(room(X)=>(((hate(mike,X))|(~preds(X)))))))&
((~?[X]:(~room(X)=>(((sibling(ulysses,X))|(~predp(X))))))=>(![X]:(room(X)=>(((predt(X))=>(older(patricia,X)))))))&
((sibling(hannah,fred)&sibling(hannah,john))=>(((?[X]:(room(X)&((happy(X)&creative(X)&person(X))|(predd(X))))))))&
((older(xena,susan))=>(?[X,Y]:((predm(X))&(sibling(david,Y))&(sibling(X,Y)))))&
(~?[X]:(anywhere(X)=>(((richer(patricia,X))=>(predw(X))))))&
(((~propositionb)<~>(~propositione)))&
(![X]:(room(X)=>(((client(rachel,X))=>(younger(yves,X))))))&
(?[X]:(room(X)&(predx(X))))&
(![X]:(room(X)=>(((~happy(X)&~quiet(X)&~humble(X))=>(wise(X))))))&
(formal(john))&
(kind(john))&
(![X]:(room(X)=>(((prede(X))=>(~creative(X)&~formal(X))))))&
((organized(alice))&(humble(paul)))&
(curious(alice))&
(((propositiond)<~>(propositiona)))&
(![X]:(room(X)=>(((organized(X))=>(predp(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&predy(A)&predy(B)&predy(C))))&
(![X]:(room(X)=>(((((~(formal(X)&european(X)))&(tall(X))&(~predq(X))))=>(sibling(lisa,X))))))&
(~propositiona)&
(sibling(rachel,paul))&
(~propositionc)&
(![X]:(room(X)=>(((predz(X))=>(predt(X))))))&
(predn(alice))&
(predt(john))&
(predt(paul))&
(![X]:(room(X)=>(((~hate(X,quentin))<=>(~predh(X))))))&
(organized(paul)&kind(paul)&wise(paul)&tourist(paul))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)&formal(E)&wise(E)&strong(E)&tall(E)&tourist(E)))))&
((~predg(alice))<=>(![X]:(room(X)=>(((~predb(X))|(~predv(X))|(~predj(X)))))))&
(![X]:(room(X)=>(((((preds(X))|(~predn(X))|(~predg(X))))=>(~predt(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&~predg(A)&~predg(B)&~predg(C))))&
(~(~predv(alice)))&
((![X]:((((~predj(X))|(~predk(X))|(~predw(X))))<=>(((~predv(X))<~>(~predr(X)))))))&
(~predi(paul))&
(![X]:(~room(X)=>(~predj(X))))&
(![X]:(room(X)=>(predd(X))))&
(![X]:(~room(X)=>(~predn(X))))&
(![X]:(room(X)=>(((predu(X))<=(((~predh(X))<~>(~predx(X))))))))&
(![X]:(room(X)=>(((((~predo(X))&(~predn(X))&(~predh(X))))=>(((~predi(X))&(~predl(X))))))))&
(![X]:(room(X)=>(((((~predo(X))&(~preda(X))))=>(((~predo(X))|(~preds(X))|(~predf(X))))))))&
(~![X]:(room(X)=>(~predr(X))))&
(![X]:(room(X)=>(~preda(X))))&
(![X]:(room(X)=>(((~predf(X))|(~predv(X))|(~predn(X))))))&
((![X]:((~preds(X))<=>(~predx(X)))))&
(![X]:(room(X)=>(~predo(X))))&
(![X]:(room(X)=>(((((~predg(X))&(~predx(X))))<=(~predu(X))))))&
((![X]:((~preda(X))=>(((~predc(X))|(~predn(X))|(~prede(X)))))))&
(~![X]:(room(X)=>(preda(X))))&
(((~predg(mary))<~>(~predm(mary))))&
((preds(paul))=>(~![X]:(room(X)=>(((hate(mike,X))|(~preds(X)))))))&
((~?[X]:(~room(X)=>(((sibling(ulysses,X))|(~predp(X))))))=>(![X]:(room(X)=>(((predt(X))=>(older(patricia,X)))))))&
((sibling(hannah,fred)&sibling(hannah,john))=>(((?[X]:(room(X)&((happy(X)&creative(X)&person(X))|(predd(X))))))))&
((older(xena,susan))=>(?[X,Y]:((predm(X))&(sibling(david,Y))&(sibling(X,Y)))))&
(~?[X]:(anywhere(X)=>(((richer(patricia,X))=>(predw(X))))))&
(((~propositionb)<~>(~propositione)))&
(![X]:(room(X)=>(((client(rachel,X))=>(younger(yves,X))))))&
(?[X]:(room(X)&(predx(X))))&
(![X]:(room(X)=>(((~happy(X)&~quiet(X)&~humble(X))=>(wise(X))))))&
(formal(john))&
(kind(john))&
(![X]:(room(X)=>(((prede(X))=>(~creative(X)&~formal(X))))))&
((organized(alice))&(humble(paul)))&
(curious(alice))&
(((propositiond)<~>(propositiona)))&
(![X]:(room(X)=>(((organized(X))=>(predp(X))))))&
(~(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&predy(A)&predy(B)&predy(C))))&
(![X]:(room(X)=>(((((~(formal(X)&european(X)))&(tall(X))&(~predq(X))))=>(sibling(lisa,X))))))&
(~propositiona)&
(sibling(rachel,paul))&
(~propositionc)&
(![X]:(room(X)=>(((predz(X))=>(predt(X))))))&
(predn(alice))&
(predt(john))&
(predt(paul))&
(![X]:(room(X)=>(((~hate(X,quentin))<=>(~predh(X))))))&
(organized(paul)&kind(paul)&wise(paul)&tourist(paul))&
((?[A,B,C,D]:(room(A)&room(B)&room(C)&room(D)&(A!=B)&(A!=C)&(A!=D)&(B!=C)&(B!=D)&(C!=D)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)))&(~(?[A,B,C,D,E]:(room(A)&room(B)&room(C)&room(D)&room(E)&(A!=B)&(A!=C)&(A!=D)&(A!=E)&(B!=C)&(B!=D)&(B!=E)&(C!=D)&(C!=E)&(D!=E)&formal(A)&wise(A)&strong(A)&tall(A)&tourist(A)&formal(B)&wise(B)&strong(B)&tall(B)&tourist(B)&formal(C)&wise(C)&strong(C)&tall(C)&tourist(C)&formal(D)&wise(D)&strong(D)&tall(D)&tourist(D)&formal(E)&wise(E)&strong(E)&tall(E)&tourist(E)))))&
((![X]:(room(X)=>(older(lisa,X))))=>(~propositionb))&
((((propositione)<~>(~propositiona)))=>(~![X]:(room(X)=>(((((sibling(oscar,X))|(sibling(rachel,X))))<=(like(alice,X)))))))&
((![X]:(room(X)=>(predn(X))))=>(~propositiond))&
((propositione)=>(((client(mike,mary))&(prede(mary))&(preda(mary)))))&
((![X]:(room(X)=>(((~predm(X))|(predt(X))))))=>(![X]:(room(X)=>(((~predi(X))|(kind(X)))))))&
((predd(paul))=>(![X]:(room(X)=>(humble(X)=>~strong(X)))))&
((![X]:(room(X)=>(((~predg(X))|(~(brave(X)&person(X)))))))<~>(predr(paul)))&
((?[X]:(room(X)&(((preds(X))&(funny(X)&european(X))&(predo(X))))))=>(~predp(fred)))&
(![X]:(room(X)=>(((predr(X))=>(predg(X))))))&
(predr(fred))&
((?[X,Y]:(~room(X)&~room(Y)&(richer(rachel,X)&richer(rachel,Y))&(X!=Y))))&
(![X]:(room(X)=>(tall(X)=>strong(X))))&
(![X]:(room(X)=>(((happy(X)&european(X))=>(organized(X)&person(X))))))&
(sibling(julia,fred)&sibling(julia,mary))&
(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&~hate(A,rachel)&~hate(B,rachel)&~hate(C,rachel)))&
(?[X]:(anywhere(X)&(client(steve,X))))&
(![X]:(room(X)=>(~hate(ian,X))))&
(![X]:(room(X)=>(quiet(X)=>strong(X))))&
(?[X]:(~room(X)&(prede(X))))&
(?[X]:(room(X)&(predk(X))))&
(![X]:(room(X)=>(((~(kind(X)&wise(X)&person(X)))=>(predp(X))))))&
(quieter(mary,william))&
((hate(mary,tina) & hate(tina,mary)))&
(formal(mary)&formal(fred))&
(![X]:(room(X)=>(((predj(X))<=(~(patient(X)&tourist(X)))))))&
(![X]:(room(X)=>(quiet(X)=>funny(X)))) | curious(mary) | [] | null | 1,402 | 128 | [] | {} | true | {'mary': 'julia', 'paul': 'candida', 'fred': 'charles', 'alice': 'zoe', 'john': 'joe', 'susan': 'donna', 'lucy': 'javier', 'david': 'raymond', 'emma': 'francisco', 'george': 'wayne', 'hannah': 'dennis', 'ian': 'jason', 'julia': 'victor', 'kyle': 'rebeca', 'lisa': 'nina', 'mike': 'john', 'nancy': 'jean', 'oscar': 'linnie', 'patricia': 'david', 'quentin': 'ronald', 'rachel': 'don', 'steve': 'tracey', 'tina': 'elfriede', 'ulysses': 'ann', 'victoria': 'tammy', 'william': 'keith', 'xena': 'hana', 'yves': 'thomas', 'Mary': 'Julia', 'Paul': 'Candida', 'Fred': 'Charles', 'Alice': 'Zoe', 'John': 'Joe', 'Susan': 'Donna', 'Lucy': 'Javier', 'David': 'Raymond', 'Emma': 'Francisco', 'George': 'Wayne', 'Hannah': 'Dennis', 'Ian': 'Jason', 'Julia': 'Victor', 'Kyle': 'Rebeca', 'Lisa': 'Nina', 'Mike': 'John', 'Nancy': 'Jean', 'Oscar': 'Linnie', 'Patricia': 'David', 'Quentin': 'Ronald', 'Rachel': 'Don', 'Steve': 'Tracey', 'Tina': 'Elfriede', 'Ulysses': 'Ann', 'Victoria': 'Tammy', 'William': 'Keith', 'Xena': 'Hana', 'Yves': 'Thomas', '~preda': 'is not a chess master who participates in national tournaments', '~predb': 'is not dedicated to sustainable living and zero-waste practices', '~predc': 'does not practice tai chi', '~predd': 'is not an expert in identifying and foraging wild edible plants', '~prede': 'does not collect first edition books', '~predf': 'does not enjoy virtual reality gaming', '~predg': 'does not host regular workshops on creative writing', '~predh': 'does not have a vast collection of first-edition science fiction novels', '~predi': 'does not host themed dinner parties featuring gourmet home-cooked meals', '~predj': 'does not regularly goes on multi-day backpacking trips in national parks', '~predk': 'does not enjoy coding in Python', '~predl': 'does not play eSports competitively', '~predm': 'does not have a saltwater aquarium', '~predn': 'does not use a Windows laptop', '~predo': 'is not a coffee connoisseur', '~predp': 'does not mentor a youth basketball team on weekends', '~predq': 'does not enjoy stand-up paddleboarding', '~predr': 'does not collect comic books', '~preds': 'does not practice calligraphy', '~predt': 'does not collect foreign coins', '~predu': 'does not own a 3D printer', '~predv': 'is not a cybersecurity expert', '~predw': 'does not work as a freelance web developer specializing in e-commerce sites', '~predx': 'does not maintain a personal blog focused on cybersecurity tips', '~predy': 'is not a scotch connoisseur', '~predz': 'does not make intricate hand-cut paper art for exhibitions', 'preda': 'is a chess master who participates in national tournaments', 'predb': 'is dedicated to sustainable living and zero-waste practices', 'predc': 'practices tai chi', 'predd': 'is an expert in identifying and foraging wild edible plants', 'prede': 'collects first edition books', 'predf': 'enjoys virtual reality gaming', 'predg': 'hosts regular workshops on creative writing', 'predh': 'has a vast collection of first-edition science fiction novels', 'predi': 'hosts themed dinner parties featuring gourmet home-cooked meals', 'predj': 'regularly goes on multi-day backpacking trips in national parks', 'predk': 'enjoys coding in Python', 'predl': 'plays eSports competitively', 'predm': 'has a saltwater aquarium', 'predn': 'uses a Windows laptop', 'predo': 'is a coffee connoisseur', 'predp': 'mentors a youth basketball team on weekends', 'predq': 'enjoys stand-up paddleboarding', 'predr': 'collects comic books', 'preds': 'practices calligraphy', 'predt': 'collects foreign coins', 'predu': 'owns a 3D printer', 'predv': 'is a cybersecurity expert', 'predw': 'works as a freelance web developer specializing in e-commerce sites', 'predx': 'maintains a personal blog focused on cybersecurity tips', 'predy': 'is a scotch connoisseur', 'predz': 'makes intricate hand-cut paper art for exhibitions', '~propositiona': 'A clock does not measure time in various colors.', 'propositiona': 'A clock measures time in various colors.', '~propositionb': 'A pen does not exist that only writes secrets.', 'propositionb': 'A pen exists that only writes secrets.', '~propositionc': 'Not all swans in one park are blue.', 'propositionc': 'All swans in one park are blue.', '~propositiond': 'A bridge does not sing when it is crossed.', 'propositiond': 'A bridge sings when it is crossed.', '~propositione': 'Socks do not disappear worldwide every full moon.', 'propositione': 'Socks disappear worldwide every full moon.'} |
Allen, Charles, Stephen, Elizabeth, Paul, Raymond, Jennifer, Glenn, Graciela, Ingrid, Debra, Bradley, Jordan, Kiersten, Billy, Judith, Elizabeth, John, Ruth, Chris are the only persons in the room.
either “not everyone in the room is a sibling of Darrell, is humble or is a organized european” or “Ingrid and Billy are not a curious europeans” but not both
if “everyone in the room does not enjoy bird watching or is not a humble tourist” then “it is not the case that “at least two persons in the room is not a kind person””
“Stephen is a patient happy brave european” if “everyone in the room is not a brave european”
“A bridge does not sing when it is crossed.” if “everyone in the room is a client of Timothy”
if “everyone in the room does not enjoy origami or is not a curious person” then “Timothy and Judith like each other”
Darrell and Ingrid like each other
more than one person in the room is a funny person
everyone in the room is a humble tourist if they is a quiet funny european
everyone outside the room is organized and is a sibling of Lydia if they does not enjoy spelunking
at least three persons in the room is formal
all kind persons in the room are organized
all tall persons in the room are happy
only one person in the room is a old tourist
at least three persons in the room is a tall strong european
if someone is a organized european then he/she either is not a organized creative person or is a sibling of Margie but not both
everyone anywhere is not liked by Lydia, is a tall tourist or is not old
all old persons anywhere are brave
everyone in the room either is a humble tourist or does not regularly contributes to tech forums and online communities but not both only if they is a client of Gina
Charles and Billy are brave
everyone in the room is not a patient tourist
everyone in the room is a kind person if they neither does not enjoy trail running nor is not passionate about collecting and restoring classic cars
everyone in the room is a strong person only if they is a humble tourist
at least two persons in the room is a sibling of Darrell
if someone is a sibling of Lydia then he/she is patient and vice versa
everyone in the room who is a creative person is a wise european
everyone in the room is a strong person if they is a happy strong tourist | Judith enjoys bird watching | neutral | room(mary)&room(paul)&room(fred)&room(alice)&room(john)&room(susan)&room(lucy)&room(david)&room(emma)&room(george)&room(hannah)&room(ian)&room(julia)&room(kyle)&room(lisa)&room(mike)&room(nancy)&room(oscar)&room(patricia)&room(quentin)&(![X]:(room(X)=>(X='mary'|X='paul'|X='fred'|X='alice'|X='john'|X='susan'|X='lucy'|X='david'|X='emma'|X='george'|X='hannah'|X='ian'|X='julia'|X='kyle'|X='lisa'|X='mike'|X='nancy'|X='oscar'|X='patricia'|X='quentin')))&
((~![X]:(room(X)=>(((sibling(william,X))|(humble(X))|(organized(X)&european(X))))))<~>(~(curious(george)&european(george))&~(curious(lisa)&european(lisa))))&
((![X]:(room(X)=>(((~(humble(X)&tourist(X)))|(~predb(X))))))=>(~(?[A,B]:(room(A)&room(B)&(A!=B)&~(kind(A)&person(A))&~(kind(B)&person(B))))))&
((![X]:(room(X)=>(~(brave(X)&european(X)))))=>(patient(fred)&happy(fred)&brave(fred)&european(fred)))&
((![X]:(room(X)=>(client(steve,X))))=>(~propositione))&
((![X]:(room(X)=>(((~(curious(X)&person(X)))|(~predc(X))))))=>((like(steve,mike) & like(mike,steve))))&
((like(william,george) & like(george,william)))&
((?[X,Y]:(room(X)&room(Y)&(funny(X)&person(X)&funny(Y)&person(Y))&(X!=Y))))&
(![X]:(room(X)=>(((quiet(X)&funny(X)&european(X))=>(humble(X)&tourist(X))))))&
(![X]:(~room(X)=>(((~predd(X))=>(((organized(X))&(sibling(rachel,X))))))))&
(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&formal(A)&formal(B)&formal(C)))&
(![X]:(room(X)=>(kind(X)=>organized(X))))&
(![X]:(room(X)=>(tall(X)=>happy(X))))&
(((?[X]:(room(X)&old(X)&tourist(X)))&(![X,Y]:((room(X)&room(Y)&(old(X)&tourist(X))&(old(Y)&tourist(Y)))=>(X=Y)))))&
(?[A,B,C]:(room(A)&room(B)&room(C)&(A!=B)&(A!=C)&(B!=C)&tall(A)&strong(A)&european(A)&tall(B)&strong(B)&european(B)&tall(C)&strong(C)&european(C)))&
((![X]:((organized(X)&european(X))=>(((~(organized(X)&creative(X)&person(X)))<~>(sibling(ulysses,X)))))))&
(![X]:(anywhere(X)=>(((~like(X,rachel))|(tall(X)&tourist(X))|(~old(X))))))&
(![X]:(anywhere(X)=>(old(X)=>brave(X))))&
(![X]:(room(X)=>(((client(tina,X))<=(((humble(X)&tourist(X))<~>(~predy(X))))))))&
(brave(paul)&brave(lisa))&
(![X]:(room(X)=>(~(patient(X)&tourist(X)))))&
(![X]:(room(X)=>(((~((~preda(X))|(~predz(X))))=>(kind(X)&person(X))))))&
(![X]:(room(X)=>(((humble(X)&tourist(X))<=(strong(X)&person(X))))))&
(?[A,B]:(room(A)&room(B)&(A!=B)&sibling(william,A)&sibling(william,B)))&
((![X]:((sibling(rachel,X))<=>(patient(X)))))&
(![X]:(room(X)=>(((creative(X)&person(X))=>(wise(X)&european(X))))))&
(![X]:(room(X)=>(((happy(X)&strong(X)&tourist(X))=>(strong(X)&person(X)))))) | predb(mike) | [] | null | 479 | 32 | [] | {} | true | {'mary': 'allen', 'paul': 'charles', 'fred': 'stephen', 'alice': 'nancy', 'john': 'paul', 'susan': 'raymond', 'lucy': 'jennifer', 'david': 'glenn', 'emma': 'graciela', 'george': 'ingrid', 'hannah': 'debra', 'ian': 'bradley', 'julia': 'jordan', 'kyle': 'kiersten', 'lisa': 'billy', 'mike': 'judith', 'nancy': 'elizabeth', 'oscar': 'john', 'patricia': 'ruth', 'quentin': 'chris', 'rachel': 'lydia', 'steve': 'timothy', 'tina': 'gina', 'ulysses': 'margie', 'victoria': 'willard', 'william': 'darrell', 'xena': 'gloria', 'yves': 'christopher', 'Mary': 'Allen', 'Paul': 'Charles', 'Fred': 'Stephen', 'Alice': 'Nancy', 'John': 'Paul', 'Susan': 'Raymond', 'Lucy': 'Jennifer', 'David': 'Glenn', 'Emma': 'Graciela', 'George': 'Ingrid', 'Hannah': 'Debra', 'Ian': 'Bradley', 'Julia': 'Jordan', 'Kyle': 'Kiersten', 'Lisa': 'Billy', 'Mike': 'Judith', 'Nancy': 'Elizabeth', 'Oscar': 'John', 'Patricia': 'Ruth', 'Quentin': 'Chris', 'Rachel': 'Lydia', 'Steve': 'Timothy', 'Tina': 'Gina', 'Ulysses': 'Margie', 'Victoria': 'Willard', 'William': 'Darrell', 'Xena': 'Gloria', 'Yves': 'Christopher', '~preda': 'does not enjoy trail running', '~predb': 'does not enjoy bird watching', '~predc': 'does not enjoy origami', '~predd': 'does not enjoy spelunking', '~prede': 'is not a client of Meta', '~predf': 'is not a scotch connoisseur', '~predg': 'is not a craft beer aficionado', '~predh': 'does not enjoy mountain biking', '~predi': 'does not participate in citizen science projects related to wildlife monitoring', '~predj': 'does not own a telescope', '~predk': 'does not enjoy logic puzzles', '~predl': 'does not mentor a youth basketball team on weekends', '~predm': 'is not a certified yoga instructor teaching classes weekly', '~predn': 'does not work as a freelance web developer specializing in e-commerce sites', '~predo': 'does not collect first edition books', '~predp': 'does not write a travel blog', '~predq': 'does not host a popular podcast about emerging technologies', '~predr': 'is not an avid mountain climber who has scaled several peaks', '~preds': 'does not train for and competes in international triathlons', '~predt': 'does not practice zumba', '~predu': 'does not enjoy windsurfing', '~predv': 'does not travel domestically frequently', '~predw': 'does not practice graffiti art', '~predx': 'does not collect luxury watches', '~predy': 'does not regularly contributes to tech forums and online communities', '~predz': 'is not passionate about collecting and restoring classic cars', 'preda': 'does enjoy trail running', 'predb': 'enjoys bird watching', 'predc': 'enjoys origami', 'predd': 'enjoys spelunking', 'prede': 'is a client of Meta', 'predf': 'is a scotch connoisseur', 'predg': 'is a craft beer aficionado', 'predh': 'does enjoy mountain biking', 'predi': 'participates in citizen science projects related to wildlife monitoring', 'predj': 'owns a telescope', 'predk': 'enjoys logic puzzles', 'predl': 'mentors a youth basketball team on weekends', 'predm': 'is a certified yoga instructor teaching classes weekly', 'predn': 'works as a freelance web developer specializing in e-commerce sites', 'predo': 'collects first edition books', 'predp': 'writes a travel blog', 'predq': 'hosts a popular podcast about emerging technologies', 'predr': 'is an avid mountain climber who has scaled several peaks', 'preds': 'trains for and competes in international triathlons', 'predt': 'practices zumba', 'predu': 'enjoys windsurfing', 'predv': 'travels domestically frequently', 'predw': 'practices graffiti art', 'predx': 'collects luxury watches', 'predy': 'regularly contributes to tech forums and online communities', 'predz': 'is passionate about collecting and restoring classic cars', '~propositiona': 'There is no planet where the oceans are in the sky.', 'propositiona': 'There is a planet where the oceans are in the sky.', '~propositionb': 'A pen does not exist that only writes secrets.', 'propositionb': 'A pen exists that only writes secrets.', '~propositionc': 'Not all swans in one park are blue.', 'propositionc': 'All swans in one park are blue.', '~propositiond': 'A tower does not lean significantly without falling.', 'propositiond': 'A tower leans significantly but never falls.', '~propositione': 'A bridge does not sing when it is crossed.', 'propositione': 'A bridge sings when it is crossed.'} |
Adam, Kimberlyny, Carl, Ryan, Kimberly, Kathryn, Robert are the only persons in the room.
Ryan is not old
Bobby is older than Kimberlyny
it is not the case that “Kathryn is a kind tourist”
everyone anywhere is a client of Costco
Adam has completed a triathlon
Carl is a skilled home brewer experimenting with craft beer recipes
everyone in the room who is not old is a wine connoisseur
Kimberly is a wine connoisseur
if someone works on fridays then he/she is a kind tourist and vice versa
all old persons anywhere are humble
it is true that “Robert either works on fridays or has completed a triathlon but not both”
it is not the case that “Adam is older than Jeannie”
if someone is a skilled home brewer experimenting with craft beer recipes then he/she is not a humble old tourist and is older than Jeannie and vice versa
everyone in the room is older than Bobby if they is not a humble person and vice versa
Ryan is a wine connoisseur
everyone in the room who is not a client of Costco is a wine connoisseur
more than one person in the room is a humble tourist
Jeannie is older than Kimberly
Kathryn and Carl are respectively kind and old
if someone either is older than Jeannie or is older than Bobby but not both then he/she is a wine connoisseur
Ryan and Kathryn are respectively humble and old
Robert is a skilled home brewer experimenting with craft beer recipes
more than one person outside the room works on fridays
all old persons in the room are kind
everyone in the room who is older than Bobby works on fridays
someone who is not a skilled home brewer experimenting with craft beer recipes is older than someone who is a wine connoisseur
only one person outside the room has completed a triathlon
all old persons in the room are humble | Ryan is a client of Costco | entailment | room(mary)&room(paul)&room(fred)&room(alice)&room(john)&room(susan)&room(lucy)&(![X]:(room(X)=>(X='mary'|X='paul'|X='fred'|X='alice'|X='john'|X='susan'|X='lucy')))&
(~old(alice))&
(older(paul,david))&
(~(kind(susan)&tourist(susan)))&
(![X]:(anywhere(X)=>(predy(X))))&
(predp(mary))&
(predd(fred))&
(![X]:(room(X)=>(((~old(X))=>(predg(X))))))&
(predg(john))&
((![X]:((predx(X))<=>(kind(X)&tourist(X)))))&
(![X]:(anywhere(X)=>(old(X)=>humble(X))))&
(((predx(lucy))<~>(predp(lucy))))&
(~(older(emma,mary)))&
((![X]:((predd(X))<=>(((~(humble(X)&old(X)&tourist(X)))&(older(emma,X)))))))&
(![X]:(room(X)=>(((older(david,X))<=>(~(humble(X)&person(X)))))))&
(predg(alice))&
(![X]:(room(X)=>(((~predy(X))=>(predg(X))))))&
((?[X,Y]:(room(X)&room(Y)&(humble(X)&tourist(X)&humble(Y)&tourist(Y))&(X!=Y))))&
(older(john,emma))&
((kind(susan))&(old(fred)))&
((![X]:((((older(emma,X))<~>(older(david,X))))=>(predg(X)))))&
((humble(alice))&(old(susan)))&
(predd(lucy))&
((?[X,Y]:(~room(X)&~room(Y)&(predx(X)&predx(Y))&(X!=Y))))&
(![X]:(room(X)=>(old(X)=>kind(X))))&
(![X]:(room(X)=>(((older(david,X))=>(predx(X))))))&
(?[X,Y]:((~predd(X))&(predg(Y))&(older(X,Y))))&
(((?[X]:(~room(X)&predp(X)))&(![X,Y]:((~room(X)&~room(Y)&(predp(X))&(predp(Y)))=>(X=Y)))))&
(![X]:(room(X)=>(old(X)=>humble(X)))) | predy(alice) | [
"b4",
"p4",
"hypothesis"
] | % Running in auto input_syntax mode. Trying TPTP
% Refutation found. Thanks to Tanya!
% SZS status Unsatisfiable for 3595220582765571669877182
% SZS output start Proof for 3595220582765571669877182
5. ! [X0] : anywhere(X0) [input b4]
29. ! [X0] : (anywhere(X0) => predy(X0)) [input p4]
54. ~predy(alice) [input hypothesis]
102. ! [X0] : (predy(X0) | ~anywhere(X0)) [ennf transformation 29]
132. anywhere(X0) [cnf transformation 5]
946. predy(X0) | ~anywhere(X0) [cnf transformation 102]
990. ~predy(alice) [cnf transformation 54]
1000. predy(X0) [subsumption resolution 946,132]
1014. $false [subsumption resolution 990,1000]
% SZS output end Proof for 3595220582765571669877182
% ------------------------------
% Version: Vampire 4.8 (commit 8d999c135 on 2023-07-12 16:43:10 +0000)
% Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% Termination reason: Refutation
% Memory used [KB]: 5628
% Time elapsed: 0.042 s
% ------------------------------
% ------------------------------
| 304 | 32 | [
4
] | {'p4': '% Running in auto input_syntax mode. Trying TPTP\n% SZS status Satisfiable'} | true | {'mary': 'adam', 'paul': 'johnny', 'fred': 'carl', 'alice': 'ryan', 'john': 'kimberly', 'susan': 'kathryn', 'lucy': 'robert', 'david': 'bobby', 'emma': 'jeannie', 'george': 'michael', 'hannah': 'jennifer', 'ian': 'irene', 'julia': 'jeremy', 'kyle': 'anna', 'lisa': 'lindsay', 'mike': 'james', 'nancy': 'walter', 'oscar': 'jazmin', 'patricia': 'anthony', 'quentin': 'margaret', 'rachel': 'amy', 'steve': 'miguel', 'tina': 'deon', 'ulysses': 'arthur', 'victoria': 'nolan', 'william': 'jane', 'xena': 'beatriz', 'yves': 'marilyn', 'Mary': 'Adam', 'Paul': 'Johnny', 'Fred': 'Carl', 'Alice': 'Ryan', 'John': 'Kimberly', 'Susan': 'Kathryn', 'Lucy': 'Robert', 'David': 'Bobby', 'Emma': 'Jeannie', 'George': 'Michael', 'Hannah': 'Jennifer', 'Ian': 'Irene', 'Julia': 'Jeremy', 'Kyle': 'Anna', 'Lisa': 'Lindsay', 'Mike': 'James', 'Nancy': 'Walter', 'Oscar': 'Jazmin', 'Patricia': 'Anthony', 'Quentin': 'Margaret', 'Rachel': 'Amy', 'Steve': 'Miguel', 'Tina': 'Deon', 'Ulysses': 'Arthur', 'Victoria': 'Nolan', 'William': 'Jane', 'Xena': 'Beatriz', 'Yves': 'Marilyn', '~preda': 'is not right-handed', '~predb': 'does not enjoy windsurfing', '~predc': 'does not enjoy rooftop gardening', '~predd': 'is not a skilled home brewer experimenting with craft beer recipes', '~prede': 'does not practice pilates', '~predf': 'does not train for and competes in international triathlons', '~predg': 'is not a wine connoisseur', '~predh': 'does not use an ios phone', '~predi': 'does not have a vast collection of first-edition science fiction novels', '~predj': 'does not make intricate hand-cut paper art for exhibitions', '~predk': 'does not host a YouTube channel dedicated to art tutorials', '~predl': 'is not a client of Meta', '~predm': 'is not a coffee connoisseur', '~predn': 'does not design and sews custom cosplay costumes for conventions', '~predo': 'cannot play the harmonica', '~predp': 'does not have completed a triathlon', '~predq': 'does not enjoy mountain biking', '~predr': 'does not enjoy making ceramics', '~preds': 'does not enjoy fishing', '~predt': 'is not an avid hiker', '~predu': 'does not create large-scale murals for public art installations', '~predv': 'does not enjoy logic puzzles', '~predw': 'does not regularly goes on multi-day backpacking trips in national parks', '~predx': 'does not work on fridays', '~predy': 'is not a client of Costco', '~predz': 'does not own a significant collection of rare gemstones and minerals', 'preda': 'is right-handed', 'predb': 'enjoys windsurfing', 'predc': 'enjoys rooftop gardening', 'predd': 'is a skilled home brewer experimenting with craft beer recipes', 'prede': 'practices pilates', 'predf': 'trains for and competes in international triathlons', 'predg': 'is a wine connoisseur', 'predh': 'uses an ios phone', 'predi': 'has a vast collection of first-edition science fiction novels', 'predj': 'makes intricate hand-cut paper art for exhibitions', 'predk': 'hosts a YouTube channel dedicated to art tutorials', 'predl': 'is a client of Meta', 'predm': 'is a coffee connoisseur', 'predn': 'designs and sews custom cosplay costumes for conventions', 'predo': 'can play the harmonica', 'predp': 'has completed a triathlon', 'predq': 'does enjoy mountain biking', 'predr': 'enjoys making ceramics', 'preds': 'enjoys fishing', 'predt': 'is an avid hiker', 'predu': 'creates large-scale murals for public art installations', 'predv': 'enjoys logic puzzles', 'predw': 'regularly goes on multi-day backpacking trips in national parks', 'predx': 'works on fridays', 'predy': 'is a client of Costco', 'predz': 'owns a significant collection of rare gemstones and minerals', '~propositiona': 'Not all swans in one park are blue.', 'propositiona': 'All swans in one park are blue.', '~propositionb': 'A clock does not measure time in various colors.', 'propositionb': 'A clock measures time in various colors.', '~propositionc': 'A tower does not lean significantly without falling.', 'propositionc': 'A tower leans significantly but never falls.', '~propositiond': 'A frog does not sing opera in the swamp at night.', 'propositiond': 'A frog sings opera in the swamp at night.', '~propositione': 'There is no planet where the oceans are in the sky.', 'propositione': 'There is a planet where the oceans are in the sky.'} |
"Dustin, Maryn, Paul, Katrina, Daisy, Frances are the only persons in the room.\nif “Maryn travels(...TRUNCATED) | Daisy is dedicated to sustainable living and zero-waste practices | entailment | "room(mary)&room(paul)&room(fred)&room(alice)&room(john)&room(susan)&(![X]:(room(X)=>(X='mary'|X='pa(...TRUNCATED) | predu(john) | [
"p0",
"p24",
"p30",
"p46",
"hypothesis"
] | "% Running in auto input_syntax mode. Trying TPTP\n% Refutation found. Thanks to Tanya!\n% SZS statu(...TRUNCATED) | 10,585 | 1,024 | [
0,
24,
30,
46
] | "{'p0': '% Running in auto input_syntax mode. Trying TPTP\\n% Time limit reached!\\n% --------------(...TRUNCATED) | true | "{'mary': 'dustin', 'paul': 'steven', 'fred': 'paul', 'alice': 'katrina', 'john': 'daisy', 'susan': (...TRUNCATED) |
"Larry, Essie, Beatrice, Sandra, Robert, Irma, Michelle, Carolyn, Marjorie are the only persons in t(...TRUNCATED) | A car runs solely on saltwater. | contradiction | "room(mary)&room(paul)&room(fred)&room(alice)&room(john)&room(susan)&room(lucy)&room(david)&room(emm(...TRUNCATED) | propositiond | [
"p16",
"hypothesis"
] | "% Running in auto input_syntax mode. Trying TPTP\n% Refutation found. Thanks to Tanya!\n% SZS statu(...TRUNCATED) | 453 | 32 | [
16
] | {'p16': '% Running in auto input_syntax mode. Trying TPTP\n% SZS status Satisfiable'} | true | "{'mary': 'larry', 'paul': 'essie', 'fred': 'beatrice', 'alice': 'sandra', 'john': 'robert', 'susan'(...TRUNCATED) |
"Joe, Marlene, Carol, Abdul, Geraldine, Roderick are the only persons in the room.\nif “Marlene co(...TRUNCATED) | Marlene uses contact lenses | contradiction | "room(mary)&room(paul)&room(fred)&room(alice)&room(john)&room(susan)&(![X]:(room(X)=>(X='mary'|X='pa(...TRUNCATED) | predc(paul) | [
"p410",
"hypothesis"
] | "% Running in auto input_syntax mode. Trying TPTP\n% Refutation found. Thanks to Tanya!\n% SZS statu(...TRUNCATED) | 5,437 | 512 | [
410
] | "{'p410': '% Running in auto input_syntax mode. Trying TPTP\\n% Time limit reached!\\n% ------------(...TRUNCATED) | true | "{'mary': 'joe', 'paul': 'marlene', 'fred': 'carol', 'alice': 'abdul', 'john': 'geraldine', 'susan':(...TRUNCATED) |
"Anita, Majorie, Robinn, Ed, Sharron, Robert are the only persons in the room.\nif “Majorie collec(...TRUNCATED) | everyone in the room does not maintain a personal blog focused on cybersecurity tips | entailment | "room(mary)&room(paul)&room(fred)&room(alice)&room(john)&room(susan)&(![X]:(room(X)=>(X='mary'|X='pa(...TRUNCATED) | ![X]:(room(X)=>(~predo(X))) | [
"p45",
"hypothesis"
] | "% Running in auto input_syntax mode. Trying TPTP\n% Refutation found. Thanks to Tanya!\n% SZS statu(...TRUNCATED) | 1,410 | 128 | [
45
] | {'p45': '% Running in auto input_syntax mode. Trying TPTP\n% SZS status Satisfiable'} | true | "{'mary': 'anita', 'paul': 'majorie', 'fred': 'steven', 'alice': 'ed', 'john': 'sharron', 'susan': '(...TRUNCATED) |
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