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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Andrew does not know whether Robert is thirsty. It is publicly announced that Andrew does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentc knows that (Agentd knows whether (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Jamie can now know that Robert can know whether or not nobody is thirsty. | internal | 1 | 4 | entailment | [
"Nanci",
"Andrew",
"Jamie",
"Robert"
] | 504 | internal-1 | 1 | 0.999467 | 0.000533 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Randall is not thirsty. It is publicly announced that Vannesa does not know whether Homer is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentc knows whether 2) ] Agentd knows that (Agentc knows whether (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentc knows whether 2) ] 0 | Randall can now know that Vannesa can know whether or not everyone is thirsty. | internal | 1 | 4 | entailment | [
"Gloria",
"Homer",
"Vannesa",
"Randall"
] | 50,985 | internal-1 | 0 | 0.988012 | 1.988012 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ronald's card is shown to Ronald. Ronald's card is shown to Jennifer. Ronald's card is shown to Jon. Jennifer's card is shown to Jon. It is publicly announced that someone picked a red card. It is publicly announced that Ronald knows whether Ronald picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] (Agentc knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] 0 | Jon can now know whether Jennifer picked a red card. | explicit | 0 | 3 | entailment | [
"Ronald",
"Jennifer",
"Jon"
] | 63,454 | explicit-1 | 1 | 0.917311 | 0.082689 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (1&2) ] Agentb knows that (Agenta knows whether (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (1&2) ] 0 | Roberta can now know that Maria can know whether or not nobody's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Maria",
"Roberta"
] | 15,737 | forehead_mirror-1 | 1 | 0.999375 | 0.000625 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kathryn does not know whether Kathryn's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (~(1&2)) ] Agentb knows whether (Agenta knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (~(1&2)) ] 0 | Ronald can now know whether Kathryn can know whether someone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Kathryn",
"Ronald"
] | 66,877 | forehead-1 | 1 | 0.999378 | 0.000622 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rodney does not know whether or not everyone is thirsty. It is publicly announced that Michele does not know whether Terrance is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] (Agentc knows whether (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] 0 | Terrance can now know whether someone is thirsty. | internal | 0 | 3 | entailment | [
"Michele",
"Rodney",
"Terrance"
] | 2,217 | internal-1 | 1 | 0.999497 | 0.000503 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jimmy does not know whether Hubert is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentb knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0 | Jimmy can now know that Hubert can know whether someone is thirsty. | internal | 1 | 3 | entailment | [
"Jimmy",
"Hubert",
"Michael"
] | 8,281 | internal-1 | 1 | 0.999404 | 0.000596 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] (Agentd knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0 | Vincent can now know whether Amanda is thirsty. | internal | 0 | 4 | entailment | [
"Jessica",
"Billy",
"Amanda",
"Vincent"
] | 19,528 | internal-1 | 1 | 0.997159 | 0.002841 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows that (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Jeffrey can now know that Brian can know that nobody is thirsty. | internal | 1 | 4 | not_entailment | [
"Jeffrey",
"Brian",
"Florence",
"Luis"
] | 60,007 | internal-0 | 0 | 0.998849 | 0.001151 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John's forehead is not muddy. It is publicly announced that John knows whether John's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(3) ] [ ! (Agentc knows whether 3) ] Agentc knows that (Agenta knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(3) ] [ ! (Agentc knows whether 3) ] 0 | John can now know that Ana can know that Ana's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Ana",
"Mary",
"John"
] | 22,607 | forehead-0 | 0 | 0.997654 | 0.002346 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cynthia's card is shown to Josephine. Josephine's card is shown to Everett. It is publicly announced that someone picked a red card. It is publicly announced that Everett knows whether Josephine picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] (Agenta knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] 0 | Josephine can now know whether Cynthia picked a red card. | explicit | 0 | 3 | entailment | [
"Josephine",
"Everett",
"Cynthia"
] | 33,299 | explicit-1 | 0 | 0.985698 | 1.985698 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Margaret knows whether Margaret is thirsty. It is publicly announced that Barbara does not know whether Margaret is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agentb knows whether 3) ] Agentc knows whether (Agentb knows whether 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agentb knows whether 3) ] 0 | Margaret can now know whether Barbara can know whether Margaret is thirsty. | internal | 1 | 3 | entailment | [
"Bill",
"Barbara",
"Margaret"
] | 28,131 | internal-1 | 1 | 0.999158 | 0.000842 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ty does not know whether Heidi is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] Agentb knows whether (Agentc knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] 0 | Ty can now know whether Cynthia can know whether Heidi is thirsty. | internal | 1 | 3 | entailment | [
"Heidi",
"Ty",
"Cynthia"
] | 32,180 | internal-1 | 1 | 0.999162 | 0.000838 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Alison knows whether someone's forehead is muddy. It is publicly announced that Michael does not know whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! ~(Agenta knows whether (1&2)) ] Agenta knows whether (Agentb knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! ~(Agenta knows whether (1&2)) ] 0 | Michael can now know whether Alison can know whether Alison's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Michael",
"Alison"
] | 45,182 | forehead-1 | 1 | 0.781801 | 0.218199 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] (Agentc knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Cindy can now know that Cindy's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Joshua",
"Lena",
"Cindy"
] | 29,162 | forehead_mirror-1 | 1 | 0.995586 | 0.004414 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Lana knows whether or not nobody's forehead is muddy. It is publicly announced that Colleen's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! 4 ] (Agentb knows that 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! 4 ] 0 | Geneva can now know that Colleen's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Ronald",
"Geneva",
"Lana",
"Colleen"
] | 48,997 | forehead_mirror-1 | 0 | 0.68248 | 1.68248 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michele does not know whether Blake is thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (~(1&2&3&4)) ] (Agentc knows whether (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (~(1&2&3&4)) ] 0 | Michele can now know whether someone is thirsty. | internal | 0 | 4 | entailment | [
"Blake",
"Collin",
"Michele",
"John"
] | 49,767 | internal-1 | 1 | 0.99942 | 0.00058 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jose's card is shown to Jennifer. Jennifer's card is shown to Jose. Jose's card is shown to Jeanine. It is publicly announced that someone picked a red card. It is publicly announced that Jeanine knows whether Jose picked a red card. It is publicly announced that Jose does not know whether Jeanine picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] [ ! ~(Agentb knows whether 3) ] (Agenta knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] [ ! ~(Agentb knows whether 3) ] 0 | Jennifer can now know that Jennifer picked a red card. | explicit | 0 | 3 | not_entailment | [
"Jennifer",
"Jose",
"Jeanine"
] | 58,982 | explicit-0 | 0 | 0.971031 | 0.028969 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Stephen's forehead is not muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Margaret knows whether Stephen's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] [ ! (~(1&2&3)) ] [ ! (Agenta knows whether 3) ] Agenta knows whether (Agentb knows that 3) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] [ ! (~(1&2&3)) ] [ ! (Agenta knows whether 3) ] 0 | Margaret can now know whether Lonnie can know that Stephen's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Margaret",
"Lonnie",
"Stephen"
] | 3,943 | forehead_mirror-1 | 1 | 0.999402 | 0.000598 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agentb knows that (Agenta knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0 | Andrea can now know that Bret can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Bret",
"Andrea",
"Frank"
] | 18,704 | forehead_mirror-0 | 0 | 0.998932 | 0.001068 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Clara is thirsty. It is publicly announced that Willian knows whether or not nobody is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (Agenta knows whether (~(1|2|3|4))) ] Agenta knows whether (Agentd knows that (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0 | Willian can now know whether Adam can know that someone is thirsty. | internal | 1 | 4 | entailment | [
"Willian",
"Jeanne",
"Clara",
"Adam"
] | 39,015 | internal-1 | 1 | 0.999506 | 0.000494 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Allison's forehead is not muddy. It is publicly announced that Allison's forehead is not muddy. It is publicly announced that Norman knows whether Allison's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(3) ] [ ! ~(3) ] [ ! (Agenta knows whether 3) ] (Agentb knows whether (1|2|3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(3) ] [ ! ~(3) ] [ ! (Agenta knows whether 3) ] 0 | Vickie can now know whether someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Norman",
"Vickie",
"Allison"
] | 18,144 | forehead-1 | 1 | 0.999486 | 0.000514 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Bonita's card is shown to Bonita. Bonita's card is shown to Susan. Susan's card is shown to Susan. Susan's card is shown to Brenda. Bonita's card is shown to Lee. It is publicly announced that someone picked a red card. It is publicly announced that Bonita does not know whether Lee picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] (Agentb knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0 | Susan can now know that nobody picked a red card. | explicit | 0 | 4 | not_entailment | [
"Bonita",
"Susan",
"Brenda",
"Lee"
] | 11,905 | explicit-0 | 0 | 0.999025 | 0.000975 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agentd knows whether (Agenta knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0 | Donna can now know whether Justin can know that nobody's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Justin",
"Nancy",
"Ruth",
"Donna"
] | 14,629 | forehead-1 | 1 | 0.999121 | 0.000879 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Paul knows whether Paul's forehead is muddy. It is publicly announced that Paul's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(1) ] Agentc knows that (Agenta knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(1) ] 0 | Carter can now know that Paul can know that Duane's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Paul",
"Duane",
"Carter",
"Richard"
] | 15,857 | forehead_mirror-0 | 0 | 0.992691 | 0.007309 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Stephanie knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] Agenta knows that (Agentd knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0 | Salvador can now know that Stephanie can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Salvador",
"Jacquelyn",
"Elizabeth",
"Stephanie"
] | 37,260 | forehead_mirror-1 | 1 | 0.99913 | 0.00087 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kellie knows whether someone's forehead is muddy. It is publicly announced that Rachel does not know whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agenta knows that (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Kellie can now know that everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Kellie",
"Rachel",
"Timothy",
"Charles"
] | 65,885 | forehead-0 | 0 | 0.99732 | 0.00268 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ann's card is shown to Ann. Ann's card is shown to Cathy. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows whether 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] 0 | Ann can now know that Cathy can know whether Cathy picked a red card. | explicit | 1 | 3 | not_entailment | [
"Ann",
"Cathy",
"Angela"
] | 42,006 | explicit-0 | 0 | 0.973398 | 0.026602 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Lina does not know whether Lina's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 3) ] Agentb knows that (Agenta knows whether 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 3) ] 0 | Jon can now know that Daniel can know whether Daniel's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Daniel",
"Jon",
"Lina"
] | 52,922 | forehead-1 | 0 | 0.992804 | 1.992804 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rebecca's card is shown to Crystal. Crystal's card is shown to Rebecca. Francis's card is shown to Rebecca. Crystal's card is shown to Francis. Francis's card is shown to Francis. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agenta knows that (Agentb knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0 | Crystal can now know that Rebecca can know whether Rebecca picked a red card. | explicit | 1 | 3 | not_entailment | [
"Crystal",
"Rebecca",
"Francis"
] | 62,296 | explicit-0 | 1 | 0.789419 | 1.789419 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sarah's card is shown to Sarah. Lemuel's card is shown to Lemuel. Shannon's card is shown to Lemuel. Sarah's card is shown to Shannon. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows whether 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Sarah can now know that Lemuel can know whether Lemuel picked a red card. | explicit | 1 | 3 | entailment | [
"Sarah",
"Lemuel",
"Shannon"
] | 32,984 | explicit-1 | 0 | 0.797095 | 1.797095 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Shayne's card is shown to Lottie. David's card is shown to Shayne. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3) ] 0 | Shayne can now know that Lottie can know that David picked a red card. | explicit | 1 | 3 | not_entailment | [
"Lottie",
"Shayne",
"David"
] | 6,559 | explicit-0 | 0 | 0.998053 | 0.001947 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Diane's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] (Agentd knows that 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] 0 | Lauren can now know that Jeanne's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Victor",
"Jeanne",
"Diane",
"Lauren"
] | 65,704 | forehead-0 | 0 | 0.997504 | 0.002496 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jane knows whether Gary's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] (Agentd knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] 0 | Gary can now know that Linda's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Linda",
"Wm",
"Jane",
"Gary"
] | 43,498 | forehead_mirror-0 | 0 | 0.998408 | 0.001592 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Hal's card is shown to Hal. Hal's card is shown to Tanya. Tanya's card is shown to Tanya. Hal's card is shown to Ann. Tanya's card is shown to Ann. It is publicly announced that someone picked a red card. It is publicly announced that Tanya does not know whether Ann picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agentc knows that (Agentb knows whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0 | Larry can now know that Tanya can know whether Hal picked a red card. | explicit | 1 | 4 | entailment | [
"Hal",
"Tanya",
"Larry",
"Ann"
] | 19,285 | explicit-1 | 0 | 0.727758 | 1.727758 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mamie does not know whether Mamie's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (~(1&2)) ] Agenta knows that (Agentb knows whether (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (~(1&2)) ] 0 | Angela can now know that Mamie can know whether or not nobody's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Angela",
"Mamie"
] | 23,500 | forehead-1 | 1 | 0.999346 | 0.000654 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dorothy knows whether Dorothy is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] (Agentc knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] 0 | Bradley can now know that nobody is thirsty. | internal | 0 | 4 | not_entailment | [
"Dorothy",
"Betty",
"Bradley",
"Erin"
] | 63,895 | internal-0 | 0 | 0.99894 | 0.00106 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agentd knows whether (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Sang can now know whether or not everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"Jack",
"Nestor",
"John",
"Sang"
] | 8,377 | internal-0 | 0 | 0.991617 | 0.008383 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Yolanda knows whether someone is thirsty. It is publicly announced that Joleen does not know whether Eugenia is thirsty. It is publicly announced that Mario is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 4) ] [ ! 1 ] (Agenta knows that (1&2&3&4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 4) ] [ ! 1 ] 0 | Mario can now know that everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"Mario",
"Yolanda",
"Joleen",
"Eugenia"
] | 50,316 | internal-0 | 0 | 0.998597 | 0.001403 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] Agentc knows whether (Agentb knows that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0 | Elenor can now know whether Jerry can know that Jerry's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Rosie",
"Jerry",
"Elenor"
] | 65,552 | forehead_mirror-1 | 1 | 0.999289 | 0.000711 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tracy's card is shown to Josie. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] (Agenta knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0 | Josie can now know that everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Josie",
"Trish",
"Tracy"
] | 44,515 | explicit-0 | 0 | 0.995373 | 0.004627 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mark knows whether someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agentd knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Mariano can now know whether Mariano's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Jackie",
"Mark",
"Robert",
"Mariano"
] | 21,821 | forehead_mirror-1 | 1 | 0.999391 | 0.000609 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Patricia does not know whether Brenda is thirsty. It is publicly announced that Patricia does not know whether Brenda is thirsty. It is publicly announced that Patricia does not know whether Brenda is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 2) ] (Agentb knows that (1&2)) | 4 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 2) ] 0 | Brenda can now know that everyone is thirsty. | internal | 0 | 2 | not_entailment | [
"Patricia",
"Brenda"
] | 29,470 | internal-0 | 0 | 0.998957 | 0.001043 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael is not thirsty. It is publicly announced that Michael does not know whether Jacqueline is thirsty. It is publicly announced that Robert does not know whether Richard is thirsty. It is publicly announced that Robert does not know whether Richard is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] Agentb knows that (Agentc knows whether 3) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] 0 | Jacqueline can now know that Michael can know whether Michael is thirsty. | internal | 1 | 4 | entailment | [
"Robert",
"Jacqueline",
"Michael",
"Richard"
] | 42,793 | internal-1 | 1 | 0.993153 | 0.006847 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Lonnie knows whether someone's forehead is muddy. It is publicly announced that Lonnie knows whether Lonnie's forehead is muddy. It is publicly announced that Marvin knows whether someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! (Agenta knows whether 1) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (1|2|3) ] (Agentb knows that (~(1|2|3))) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! (Agenta knows whether 1) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (1|2|3) ] 0 | Lori can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Lonnie",
"Lori",
"Marvin"
] | 51,824 | forehead_mirror-0 | 0 | 0.998831 | 0.001169 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] (Agentb knows whether (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Rhea can now know whether or not nobody's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Catherine",
"Rhea",
"Joshua"
] | 6,547 | forehead-1 | 1 | 0.999442 | 0.000558 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentc knows whether (Agentb knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | James can now know whether Brittany can know whether someone is thirsty. | internal | 1 | 3 | entailment | [
"Heather",
"Brittany",
"James"
] | 5,433 | internal-1 | 1 | 0.999486 | 0.000514 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kathryn does not know whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agentb knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Bessie can now know that nobody's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Celia",
"Bessie",
"Kathryn",
"Richard"
] | 6,132 | forehead-0 | 0 | 0.998882 | 0.001118 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Melinda does not know whether Melinda's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (~(1&2)) ] Agenta knows whether (Agentb knows that 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (~(1&2)) ] 0 | Melinda can now know whether Pamula can know that Pamula's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Melinda",
"Pamula"
] | 11,627 | forehead-1 | 0 | 0.991887 | 1.991887 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rose knows whether Rose is thirsty. It is publicly announced that Eric does not know whether Rose is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentc knows whether 1) ] (Agentc knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentc knows whether 1) ] 0 | Eric can now know that Eric is thirsty. | internal | 0 | 3 | not_entailment | [
"Rose",
"Alexis",
"Eric"
] | 37,150 | internal-0 | 0 | 0.934042 | 0.065958 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Leonard's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 1 ] Agentb knows that (Agenta knows that 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 1 ] 0 | Leslie can now know that Leonard can know that Leslie's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Leonard",
"Leslie"
] | 14,483 | forehead_mirror-0 | 0 | 0.994662 | 0.005338 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nancy is thirsty. It is publicly announced that Nancy does not know whether Shirley is thirsty. It is publicly announced that Chantel does not know whether Shirley is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows whether 2) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 3) ] 0 | Chantel can now know whether Susan is thirsty. | internal | 0 | 4 | not_entailment | [
"Chantel",
"Susan",
"Shirley",
"Nancy"
] | 46,197 | internal-0 | 0 | 0.997608 | 0.002392 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charles's card is shown to Dennis. Xuan's card is shown to Dennis. Dennis's card is shown to Charles. Charles's card is shown to Xuan. Xuan's card is shown to Xuan. It is publicly announced that someone picked a red card. It is publicly announced that Xuan picked a red card. It is publicly announced that Dennis does not know whether or not everyone picked a red card. It is publicly announced that Dennis knows whether or not nobody picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agenta knows whether (~(1|2|3))) ] Agenta knows that (Agentc knows that 1) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Dennis can now know that Xuan can know that Dennis picked a red card. | explicit | 1 | 3 | not_entailment | [
"Dennis",
"Charles",
"Xuan"
] | 1,665 | explicit-0 | 0 | 0.51298 | 0.48702 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda does not know whether Grady is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agentc knows that (Agenta knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0 | Jose can now know that Joseph can know whether or not everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Joseph",
"Linda",
"Jose",
"Grady"
] | 16,381 | internal-0 | 0 | 0.996638 | 0.003362 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that William knows whether William's forehead is muddy. It is publicly announced that Gary knows whether James's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 4) ] [ ! (Agentb knows whether 1) ] Agentc knows that (Agentd knows that 1) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 4) ] [ ! (Agentb knows whether 1) ] 0 | Jane can now know that William can know that James's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"James",
"Gary",
"Jane",
"William"
] | 37,474 | forehead-0 | 0 | 0.993077 | 0.006923 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Isaac knows whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentd knows that (Agenta knows that 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Jeff can now know that Isaac can know that Rafael is thirsty. | internal | 1 | 4 | not_entailment | [
"Isaac",
"Rafael",
"Donald",
"Jeff"
] | 31,435 | internal-0 | 0 | 0.988568 | 0.011432 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Christina does not know whether Arthur is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] Agentb knows whether (Agenta knows that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] 0 | Christina can now know whether Arthur can know that nobody is thirsty. | internal | 1 | 2 | entailment | [
"Arthur",
"Christina"
] | 11,335 | internal-1 | 1 | 0.999311 | 0.000689 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] (Agenta knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0 | Marie can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Marie",
"Agnes",
"Ronnie",
"Clayton"
] | 57,348 | forehead_mirror-0 | 0 | 0.998985 | 0.001015 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cindy knows whether Cindy is thirsty. It is publicly announced that Cindy does not know whether Carla is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agentc knows whether 2) ] Agentc knows whether (Agentd knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agentc knows whether 2) ] 0 | Cindy can now know whether Lynn can know that Carla is thirsty. | internal | 1 | 4 | entailment | [
"William",
"Carla",
"Cindy",
"Lynn"
] | 4,210 | internal-1 | 1 | 0.966796 | 0.033204 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Walter does not know whether Patsy is thirsty. It is publicly announced that Edmond does not know whether Walter is thirsty. It is publicly announced that Walter does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] (Agenta knows that 1) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] 0 | Edmond can now know that Edmond is thirsty. | internal | 0 | 4 | not_entailment | [
"Edmond",
"Walter",
"Patsy",
"Delia"
] | 10,739 | internal-0 | 0 | 0.740682 | 0.259318 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charles knows whether or not everyone is thirsty. It is publicly announced that Lance is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! ~(3) ] (Agentc knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! ~(3) ] 0 | Lance can now know that Lance is thirsty. | internal | 0 | 3 | not_entailment | [
"Michael",
"Charles",
"Lance"
] | 34,373 | internal-0 | 0 | 0.750362 | 0.249638 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Glenn knows whether Heather's forehead is muddy. It is publicly announced that Heather knows whether or not everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] Agenta knows that (Agentb knows that (1&2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] 0 | Heather can now know that Glenn can know that everyone's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Heather",
"Glenn"
] | 7,427 | forehead-0 | 0 | 0.998133 | 0.001867 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bianca knows whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] (Agentc knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] 0 | Nicholas can now know that everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Bianca",
"Dean",
"Nicholas"
] | 19,275 | internal-0 | 0 | 0.998674 | 0.001326 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charla does not know whether Dennis is thirsty. It is publicly announced that Charla does not know whether or not everyone is thirsty. It is publicly announced that Charla does not know whether Kenneth is thirsty. It is publicly announced that Dennis does not know whether Kenneth is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 1) ] Agentb knows whether (Agenta knows whether 2) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 1) ] 0 | John can now know whether Kenneth can know whether John is thirsty. | internal | 1 | 4 | entailment | [
"Kenneth",
"John",
"Dennis",
"Charla"
] | 45,092 | internal-1 | 1 | 0.998787 | 0.001213 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Debbie's card is shown to Rosemary. Rosemary's card is shown to Debbie. It is publicly announced that someone picked a red card. It is publicly announced that Rosemary does not know whether Rosemary picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] Agenta knows that (Agentb knows that (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] 0 | Rosemary can now know that Debbie can know that everyone picked a red card. | explicit | 1 | 2 | not_entailment | [
"Rosemary",
"Debbie"
] | 10,938 | explicit-0 | 0 | 0.998895 | 0.001105 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] (Agenta knows whether 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] 0 | Linda can now know whether Linda's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Linda",
"Francisco"
] | 51,895 | forehead-0 | 0 | 0.9938 | 0.0062 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Francisco knows whether or not everyone's forehead is muddy. It is publicly announced that Waylon's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] [ ! 4 ] Agentd knows whether (Agenta knows whether (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] [ ! 4 ] 0 | Waylon can now know whether Christopher can know whether or not nobody's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Christopher",
"Charles",
"Francisco",
"Waylon"
] | 11,178 | forehead_mirror-1 | 1 | 0.999357 | 0.000643 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dawn's card is shown to Cheryl. Tom's card is shown to Cheryl. Dawn's card is shown to Dawn. Tom's card is shown to Tom. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] (Agentc knows that (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Tom can now know that everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Cheryl",
"Dawn",
"Tom"
] | 5,623 | explicit-0 | 0 | 0.999001 | 0.000999 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Douglas does not know whether Jarrett is thirsty. It is publicly announced that Douglas does not know whether David is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 1) ] (Agentc knows whether (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 1) ] 0 | Douglas can now know whether someone is thirsty. | internal | 0 | 3 | entailment | [
"David",
"Jarrett",
"Douglas"
] | 37,263 | internal-1 | 1 | 0.999426 | 0.000574 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tracey's card is shown to Tracey. Susan's card is shown to Susan. Tracey's card is shown to Jose. Susan's card is shown to Jose. Jose's card is shown to Jose. It is publicly announced that someone picked a red card. It is publicly announced that Tracey does not know whether or not everyone picked a red card. It is publicly announced that Susan knows whether Susan picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] Agentc knows whether (Agenta knows that (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] 0 | Jose can now know whether Tracey can know that someone picked a red card. | explicit | 1 | 3 | entailment | [
"Tracey",
"Susan",
"Jose"
] | 50,680 | explicit-1 | 1 | 0.999432 | 0.000568 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agenta knows that (Agentb knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0 | William can now know that Freda can know that Robert's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"William",
"Freda",
"Robert"
] | 35,998 | forehead_mirror-0 | 0 | 0.992235 | 0.007765 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Stacy knows whether or not everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] Agenta knows whether (Agentb knows whether 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] 0 | Mai can now know whether Stacy can know whether Mai is thirsty. | internal | 1 | 2 | entailment | [
"Mai",
"Stacy"
] | 54,795 | internal-1 | 1 | 0.999002 | 0.000998 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] (Agentd knows that (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] 0 | Amanda can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Kevin",
"Gary",
"Dave",
"Amanda"
] | 4,862 | forehead_mirror-0 | 0 | 0.998949 | 0.001051 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Howard knows whether Anthony's forehead is muddy. It is publicly announced that Howard's forehead is not muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Anthony knows whether or not nobody's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] [ ! ~(3) ] [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agenta knows that 3) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] [ ! ~(3) ] [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | Donald can now know that Howard's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Donald",
"Anthony",
"Howard"
] | 13,959 | forehead_mirror-0 | 0 | 0.992401 | 0.007599 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Donna's forehead is muddy. It is publicly announced that George knows whether Donna's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! (Agentd knows whether 2) ] (Agentc knows whether 1) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! (Agentd knows whether 2) ] 0 | Ray can now know whether Stacy's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Stacy",
"Donna",
"Ray",
"George"
] | 11,970 | forehead-1 | 1 | 0.999405 | 0.000595 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Daniel's forehead is not muddy. It is publicly announced that Martin's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (~(1&2)) ] [ ! ~(2) ] [ ! 1 ] Agenta knows that (Agentb knows that (1&2)) | 4 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (~(1&2)) ] [ ! ~(2) ] [ ! 1 ] 0 | Martin can now know that Daniel can know that everyone's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Martin",
"Daniel"
] | 22,085 | forehead_mirror-0 | 0 | 0.993782 | 0.006218 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Michael does not know whether Michael's forehead is muddy. It is publicly announced that Michael does not know whether or not everyone's forehead is muddy. It is publicly announced that Lisha's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! 3 ] (Agentc knows that 3) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! 3 ] 0 | Lisha can now know that Lisha's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Michael",
"Ashley",
"Lisha"
] | 24,245 | forehead-1 | 1 | 0.879157 | 0.120843 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Steven's card is shown to David. Claude's card is shown to Steven. David's card is shown to Claude. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] (Agentc knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0 | Claude can now know that Claude picked a red card. | explicit | 0 | 3 | not_entailment | [
"David",
"Steven",
"Claude"
] | 40,930 | explicit-0 | 0 | 0.995246 | 0.004754 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Derek knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] (Agenta knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | Dorothy can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Dorothy",
"Derek",
"Steven"
] | 52,792 | forehead_mirror-0 | 0 | 0.998779 | 0.001221 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Fletcher knows whether or not nobody's forehead is muddy. It is publicly announced that Kasey knows whether Derek's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! (Agentd knows whether 3) ] Agenta knows that (Agentb knows that (1&2&3&4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! (Agentd knows whether 3) ] 0 | Richard can now know that Fletcher can know that everyone's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Richard",
"Fletcher",
"Derek",
"Kasey"
] | 17,667 | forehead_mirror-0 | 0 | 0.987824 | 0.012176 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charlotte's card is shown to Charlotte. Charlotte's card is shown to Kristin. Charlotte's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that Charlotte knows whether Charlotte picked a red card. It is publicly announced that Charlotte knows whether Charlotte picked a red card. It is publicly announced that Charlotte does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentc knows that 1) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Christopher can now know that Charlotte picked a red card. | explicit | 0 | 3 | entailment | [
"Charlotte",
"Kristin",
"Christopher"
] | 31,080 | explicit-1 | 1 | 0.507987 | 0.492013 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rhonda knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] Agentd knows whether (Agentc knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0 | Genevieve can now know whether David can know that David's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Rhonda",
"Delores",
"David",
"Genevieve"
] | 37,828 | forehead_mirror-1 | 1 | 0.999303 | 0.000697 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Chester's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] Agenta knows that (Agentc knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0 | Barbara can now know that Karen can know that nobody's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Barbara",
"Emily",
"Karen",
"Chester"
] | 11,502 | forehead-0 | 0 | 0.998978 | 0.001022 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Robert's forehead is muddy. It is publicly announced that Frieda knows whether Gerald's forehead is muddy. It is publicly announced that Gerald does not know whether or not everyone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! (Agentd knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (~(1&2&3&4)) ] (Agenta knows that 2) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! (Agentd knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (~(1&2&3&4)) ] 0 | Robert can now know that Gerald's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Robert",
"Gerald",
"Susan",
"Frieda"
] | 19,375 | forehead-0 | 0 | 0.818981 | 0.181019 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Janet does not know whether Janet's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] Agentc knows whether (Agentb knows that (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] 0 | Janet can now know whether Michael can know that someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Rosetta",
"Michael",
"Janet"
] | 63,335 | forehead-1 | 1 | 0.999444 | 0.000556 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mary knows whether John's forehead is muddy. It is publicly announced that John knows whether Mary's forehead is muddy. It is publicly announced that Sarah does not know whether Sarah's forehead is muddy. It is publicly announced that Mary knows whether Mary's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 3) ] [ ! (Agentc knows whether 2) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether 2) ] Agentb knows whether (Agentc knows whether (1|2|3)) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 3) ] [ ! (Agentc knows whether 2) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether 2) ] 0 | Mary can now know whether John can know whether someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Sarah",
"Mary",
"John"
] | 14,279 | forehead-1 | 1 | 0.999447 | 0.000553 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amy's card is shown to Amy. Amy's card is shown to Paul. Paul's card is shown to Paul. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] Agenta knows that (Agentb knows that 2) | 0 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] 0 | Amy can now know that Paul can know that Paul picked a red card. | explicit | 1 | 2 | not_entailment | [
"Amy",
"Paul"
] | 4,967 | explicit-0 | 0 | 0.97676 | 0.02324 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Thomas does not know whether Thomas's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (1|2) ] (Agenta knows whether 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (1|2) ] 0 | Thomas can now know whether Thomas's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Thomas",
"Malinda"
] | 13,757 | forehead-0 | 0 | 0.965548 | 0.034452 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Daniel does not know whether Patsy is thirsty. It is publicly announced that Daniel knows whether someone is thirsty. It is publicly announced that Trudy does not know whether Patsy is thirsty. It is publicly announced that Patsy does not know whether Daniel is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentb knows whether 1) ] (Agentc knows that (~(1|2|3))) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentb knows whether 1) ] 0 | Trudy can now know that nobody is thirsty. | internal | 0 | 3 | not_entailment | [
"Daniel",
"Patsy",
"Trudy"
] | 16,315 | internal-0 | 0 | 0.998986 | 0.001014 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Clarence's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 4 ] (Agentd knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0 | Clarence can now know whether or not everyone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Dorothy",
"Deanna",
"Heather",
"Clarence"
] | 12,683 | forehead-1 | 1 | 0.87235 | 0.12765 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Krystal does not know whether Clyde is thirsty. It is publicly announced that Clyde does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agenta knows that (Agentc knows that (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Krystal can now know that Maryetta can know that nobody is thirsty. | internal | 1 | 4 | not_entailment | [
"Krystal",
"Clyde",
"Maryetta",
"Christina"
] | 58,387 | internal-0 | 0 | 0.99903 | 0.00097 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Terry knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] Agentc knows that (Agentb knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0 | Don can now know that Victor can know whether Jose's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Terry",
"Victor",
"Don",
"Jose"
] | 57,302 | forehead_mirror-1 | 1 | 0.999262 | 0.000738 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agentc knows that (Agentb knows whether (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0 | Ryan can now know that Carol can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Louis",
"Carol",
"Ryan"
] | 61,182 | forehead_mirror-1 | 1 | 0.999151 | 0.000849 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sharon knows whether Courtney's forehead is muddy. It is publicly announced that Damion's forehead is not muddy. It is publicly announced that Damion knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 3) ] [ ! ~(2) ] [ ! (Agentb knows whether (1&2&3)) ] (Agentc knows that (~(1|2|3))) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 3) ] [ ! ~(2) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | Courtney can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Sharon",
"Damion",
"Courtney"
] | 33,741 | forehead_mirror-0 | 0 | 0.998981 | 0.001019 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Gina's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] Agenta knows that (Agentc knows that (1|2|3|4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0 | Shery can now know that Gillian can know that someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Shery",
"Mabel",
"Gillian",
"Gina"
] | 35,920 | forehead-1 | 1 | 0.999449 | 0.000551 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joanne does not know whether Ronald is thirsty. It is publicly announced that Arthur does not know whether Ronald is thirsty. It is publicly announced that Arthur knows whether someone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether (1|2|3)) ] Agenta knows that (Agentb knows that 2) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether (1|2|3)) ] 0 | Ronald can now know that Joanne can know that Joanne is thirsty. | internal | 1 | 3 | not_entailment | [
"Ronald",
"Joanne",
"Arthur"
] | 45,628 | internal-0 | 0 | 0.995792 | 0.004208 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Judy's forehead is muddy. It is publicly announced that Judy knows whether Judy's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agentc knows whether 3) ] Agenta knows whether (Agentc knows that (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agentc knows whether 3) ] 0 | Kimberley can now know whether Judy can know that someone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Kimberley",
"Karin",
"Judy"
] | 63,223 | forehead_mirror-1 | 1 | 0.99944 | 0.00056 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christine does not know whether Susan is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agenta knows whether (Agentd knows that 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0 | Susan can now know whether Alma can know that Christine is thirsty. | internal | 1 | 4 | entailment | [
"Susan",
"Christine",
"Celia",
"Alma"
] | 58,651 | internal-1 | 1 | 0.985744 | 0.014256 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jim's forehead is not muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(3) ] (Agentb knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0 | Lola can now know that Jim's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"John",
"Lola",
"Jim"
] | 33,130 | forehead-0 | 0 | 0.990973 | 0.009027 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agenta knows that (Agentb knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0 | Mary can now know that Adam can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Mary",
"Adam",
"Robert",
"Miriam"
] | 18,238 | forehead_mirror-0 | 0 | 0.998927 | 0.001073 |