premise
stringlengths 104
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| smcdel_problem
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| n_announcements
int64 0
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| pbcheck
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stringlengths 37
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int64 0
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are three 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. It is publicly announced that Loretta's forehead is not muddy. It is publicly announced that Marvin knows whether Loretta's forehead is muddy. It is publicly announced that Loretta knows whether Marvin'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) ] [ ! ~(3) ] [ ! (Agenta knows whether 3) ] [ ! (Agentc knows whether 1) ] Agenta knows that (Agentb knows that 1) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(3) ] [ ! (Agenta knows whether 3) ] [ ! (Agentc knows whether 1) ] 0 | Marvin can now know that Bonnie can know that Marvin's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Marvin",
"Bonnie",
"Loretta"
] | 24,785 | forehead-0 | 0 | 0.997441 | 0.002559 |
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 Ashley knows whether Judy's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether 2) ] Agentb knows that (Agenta knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0 | Judy can now know that Ashley can know that everyone's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Ashley",
"Judy"
] | 22,399 | forehead_mirror-0 | 0 | 0.998954 | 0.001046 |
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 Julia 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))) ] Agentc knows that (Agenta knows whether 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) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0 | Willie can now know that Julia can know whether Julia's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Julia",
"Sarah",
"Willie",
"Elvira"
] | 50,649 | forehead_mirror-1 | 1 | 0.999408 | 0.000592 |
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 Bobby does not know whether or not everyone is thirsty. It is publicly announced that Bobby does not know whether or not everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] (Agenta knows whether (~(1|2))) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Leo can now know whether or not nobody is thirsty. | internal | 0 | 2 | entailment | [
"Leo",
"Bobby"
] | 18,014 | internal-1 | 1 | 0.999447 | 0.000553 |
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 Richard knows whether Laverne's forehead is muddy. It is publicly announced that Laverne knows whether Robert's forehead is muddy. It is publicly announced that Richard's forehead is not 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) ] [ ! (Agentb knows whether 1) ] [ ! ~(3) ] Agentc knows that (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) ] [ ! (Agentc knows whether 2) ] [ ! (Agentb knows whether 1) ] [ ! ~(3) ] 0 | Richard can now know that Laverne can know that Richard's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Robert",
"Laverne",
"Richard"
] | 65,112 | forehead_mirror-0 | 0 | 0.99298 | 0.00702 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Debra's card is shown to Debra. Michael's card is shown to Debra. Debra's card is shown to Robert. Robert's card is shown to Robert. Michael's card is shown to Robert. Debra's card is shown to Michael. Robert's card is shown to Michael. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] Agenta knows that (Agentc knows that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Debra can now know that Michael can know that Robert picked a red card. | explicit | 1 | 3 | not_entailment | [
"Debra",
"Robert",
"Michael"
] | 6,310 | explicit-0 | 0 | 0.995856 | 0.004144 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tina's card is shown to Joseph. Joseph's card is shown to Lois. Lois's card is shown to Lois. Tina's card is shown to Lois. Lois's card is shown to Tina. Tina's card is shown to Tina. It is publicly announced that someone picked a red card. It is publicly announced that Joseph does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentb knows whether (Agentc knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Lois can now know whether Tina can know that everyone picked a red card. | explicit | 1 | 3 | entailment | [
"Joseph",
"Lois",
"Tina"
] | 32,100 | explicit-1 | 1 | 0.984275 | 0.015725 |
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 Mary knows whether James is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether 2) ] Agentb knows whether (Agenta knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0 | James can now know whether Mary can know whether someone is thirsty. | internal | 1 | 2 | entailment | [
"Mary",
"James"
] | 4,532 | internal-1 | 1 | 0.99945 | 0.00055 |
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. It is publicly announced that Penny does not know whether Penny's forehead is muddy. It is publicly announced that Jennifer knows whether Penny'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)) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether 1) ] (Agenta knows whether 4) | 3 | 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)) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether 1) ] 0 | Penny can now know whether Glenn's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Penny",
"Jennifer",
"Trinidad",
"Glenn"
] | 25,490 | forehead-1 | 1 | 0.999172 | 0.000828 |
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 Al knows whether or not nobody'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))) ] Agentb knows whether (Agentc knows whether (1&2&3)) | 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)) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | Al can now know whether Robert can know whether or not everyone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Eric",
"Al",
"Robert"
] | 64,016 | forehead-1 | 1 | 0.991574 | 0.008426 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Timothy's card is shown to Sara. Allen's card is shown to Sara. Sara's card is shown to Timothy. It is publicly announced that someone picked a red card. It is publicly announced that Timothy does not know whether Timothy picked a red card. It is publicly announced that Sara knows whether or not nobody picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agentb knows whether (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Timothy can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"Sara",
"Timothy",
"Allen"
] | 16,400 | explicit-1 | 1 | 0.999393 | 0.000607 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Frank does not know whether Scott is thirsty. It is publicly announced that Hal knows whether 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 whether 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:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Frank can now know that nobody is thirsty. | internal | 0 | 4 | not_entailment | [
"Frank",
"Hal",
"Richard",
"Scott"
] | 29,361 | internal-0 | 0 | 0.998805 | 0.001195 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alan does not know whether Barbara is thirsty. It is publicly announced that Barbara knows whether 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 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agenta 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) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0 | Nicole can now know that Linda is thirsty. | internal | 0 | 4 | not_entailment | [
"Nicole",
"Linda",
"Barbara",
"Alan"
] | 8,439 | internal-0 | 0 | 0.998444 | 0.001556 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Louise's card is shown to Louise. Louise's card is shown to Alma. Alma's card is shown to Alma. Steven's card is shown to Alma. Steven's card is shown to Steven. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows whether (Agentb knows that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Steven can now know whether Alma can know that Alma picked a red card. | explicit | 1 | 3 | not_entailment | [
"Louise",
"Alma",
"Steven"
] | 32,532 | explicit-0 | 1 | 0.645868 | 1.645868 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lasonya's card is shown to Lasonya. Lori's card is shown to Lasonya. Richard's card is shown to Lasonya. Richard's card is shown to Richard. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 VALID? [ ! (1|2|3) ] (Agentb knows that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 VALID? [ ! (1|2|3) ] 0 | Lori can now know that Lori picked a red card. | explicit | 0 | 3 | not_entailment | [
"Lasonya",
"Lori",
"Richard"
] | 21,947 | explicit-0 | 0 | 0.982721 | 0.017279 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kristy knows whether Kristy 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) ] (Agentb knows that 1) | 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 | Angel can now know that Kristy is thirsty. | internal | 0 | 4 | not_entailment | [
"Kristy",
"Angel",
"Harold",
"Jeanne"
] | 50,346 | internal-0 | 0 | 0.931693 | 0.068307 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to William. Evette's card is shown to Evette. Wanda's card is shown to Wanda. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] (Agenta knows whether (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0 | William can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"William",
"Evette",
"Wanda"
] | 5,018 | explicit-1 | 1 | 0.999363 | 0.000637 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lee's card is shown to Robert. Larry's card is shown to Larry. Robert's card is shown to Lee. It is publicly announced that someone picked a red card. It is publicly announced that Lee does not know whether Lee picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] (Agentb knows that 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] 0 | Larry can now know that Robert picked a red card. | explicit | 0 | 3 | not_entailment | [
"Robert",
"Larry",
"Lee"
] | 6,525 | explicit-0 | 0 | 0.986331 | 0.013669 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kathy'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 ] Agentc knows whether (Agenta 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) ] [ ! 1 ] 0 | Leticia can now know whether Kathy can know that someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Kathy",
"Jessica",
"Leticia"
] | 29,994 | forehead-1 | 1 | 0.999481 | 0.000519 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ralph knows whether or not nobody 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))) ] (Agenta knows that 1) | 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 | Ralph can now know that Ralph is thirsty. | internal | 0 | 3 | not_entailment | [
"Ralph",
"Hubert",
"Jim"
] | 55,770 | internal-0 | 0 | 0.94849 | 0.05151 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Pam does not know whether Michael is thirsty. It is publicly announced that Pam is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(3) ] Agentb knows that (Agenta knows whether 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(3) ] 0 | Jose can now know that Michael can know whether Michael is thirsty. | internal | 1 | 3 | entailment | [
"Michael",
"Jose",
"Pam"
] | 52,485 | internal-1 | 1 | 0.996748 | 0.003252 |
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 John knows whether or not everyone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. It is publicly announced that Sarah knows whether Sarah'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)) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 1) ] (Agentc knows whether 1) | 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) ] [ ! (Agentc knows whether (1&2&3&4)) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 1) ] 0 | John can now know whether Sarah's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Sarah",
"Mabel",
"John",
"Ralph"
] | 27,561 | forehead_mirror-1 | 1 | 0.999452 | 0.000548 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bobby knows whether or not nobody is thirsty. It is publicly announced that Donna does not know whether Bobby is thirsty. It is publicly announced that Lorrie 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) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentc knows that (Agentb knows whether (~(1|2|3))) | 3 | 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 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Lorrie can now know that Bobby can know whether or not nobody is thirsty. | internal | 1 | 3 | entailment | [
"Donna",
"Bobby",
"Lorrie"
] | 23,821 | internal-1 | 1 | 0.999461 | 0.000539 |
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) ] Agentd knows that (Agentc knows that 2) | 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 | Michael can now know that Quinn can know that Karla's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"James",
"Karla",
"Quinn",
"Michael"
] | 6,139 | forehead_mirror-0 | 0 | 0.997525 | 0.002475 |
There are four persons. Everyone is visible to others. It is publicly announced that someone 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) ] [ ! (~(1&2&3&4)) ] (Agenta knows that 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 | Luke can now know that Verna is thirsty. | internal | 0 | 4 | not_entailment | [
"Luke",
"Scott",
"Verna",
"Penny"
] | 12,293 | internal-0 | 0 | 0.995414 | 0.004586 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kathleen does not know whether or not 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) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc 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) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Debra can now know whether or not everyone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Mark",
"Kathleen",
"Debra"
] | 64,403 | forehead-1 | 1 | 0.760695 | 0.239305 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sharon knows whether someone's forehead is muddy. It is publicly announced that Gary'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) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(2) ] (Agentb knows whether (~(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) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(2) ] 0 | Gary can now know whether or not nobody's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Norman",
"Gary",
"Sharon",
"Matthew"
] | 6,160 | forehead-1 | 1 | 0.999465 | 0.000535 |
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) ] Agenta knows that (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 | Sonya can now know that Kellie can know that Kellie's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Sonya",
"Susan",
"Kellie"
] | 23,195 | forehead_mirror-1 | 1 | 0.989992 | 0.010008 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Yan's card is shown to Yan. Yan's card is shown to Patti. Patti's card is shown to Patti. It is publicly announced that someone picked a red card. It is publicly announced that Patti knows whether or not everyone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Yan does not know whether Patti picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentb knows whether (1&2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] 0 | Yan can now know that Patti can know whether or not everyone picked a red card. | explicit | 1 | 2 | entailment | [
"Yan",
"Patti"
] | 37,965 | explicit-1 | 1 | 0.685137 | 0.314863 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sally does not know whether Patricia 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 2) ] (Agentd 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) ] [ ! ~(Agentd knows whether 2) ] 0 | Sally can now know whether someone is thirsty. | internal | 0 | 4 | entailment | [
"Stanley",
"Patricia",
"Adam",
"Sally"
] | 41,094 | internal-1 | 1 | 0.999411 | 0.000589 |
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) ] Agentd knows that (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) ] [ ! (1|2|3|4) ] 0 | Gretchen can now know that Melinda can know that Melinda's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Joyce",
"Mistie",
"Melinda",
"Gretchen"
] | 31,869 | forehead_mirror-0 | 0 | 0.998234 | 0.001766 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Nicholas does not know whether Nicholas'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 3) ] Agenta knows that (Agentb 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) ] [ ! ~(Agentc knows whether 3) ] 0 | Jacob can now know that Bernadette can know whether or not nobody's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Jacob",
"Bernadette",
"Nicholas",
"William"
] | 51,133 | forehead-1 | 1 | 0.999307 | 0.000693 |
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 Josephine knows whether Josephine'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 4) ] Agenta knows whether (Agentd 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) ] [ ! (Agentd knows whether 4) ] 0 | Lawrence can now know whether Josephine can know that Jamie's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Lawrence",
"Patrick",
"Jamie",
"Josephine"
] | 12,462 | forehead_mirror-1 | 1 | 0.999445 | 0.000555 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sonia does not know whether or not 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) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agenta knows that (Agentb knows whether 2) | 1 | 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&2&3)) ] 0 | Sonia can now know that Catherine can know whether Catherine's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Sonia",
"Catherine",
"Kenneth"
] | 13,978 | forehead-1 | 0 | 0.565164 | 1.565164 |
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 Era knows whether Lisa's forehead is muddy. It is publicly announced that Era 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 3) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] (Agentd 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) ] [ ! (Agentd knows whether 3) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0 | Era can now know that Era's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Louise",
"Pat",
"Lisa",
"Era"
] | 2,190 | forehead_mirror-0 | 0 | 0.997487 | 0.002513 |
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 Libby's forehead is not muddy. It is publicly announced that Christina 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) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2|3))) ] (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) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Ashley can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Christina",
"Libby",
"Ashley"
] | 51,474 | forehead_mirror-0 | 0 | 0.998941 | 0.001059 |
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 Helen knows whether 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)) ] Agentb knows whether (Agentc knows whether 1) | 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) ] [ ! (Agenta knows whether (1|2|3)) ] 0 | Melvin can now know whether Christopher can know whether Helen's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Helen",
"Melvin",
"Christopher"
] | 36,687 | forehead_mirror-1 | 1 | 0.999386 | 0.000614 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Clifton does not know whether or not everyone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. It is publicly announced that someone'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&2&3)) ] [ ! (1&2&3) ] [ ! (1|2|3) ] (Agentb knows that (~(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) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (1&2&3) ] [ ! (1|2|3) ] 0 | Ollie can now know that nobody's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Clifton",
"Ollie",
"Chad"
] | 13,244 | forehead-0 | 0 | 0.989273 | 0.010727 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charles does not know whether Joseph 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 4) ] (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 4) ] 0 | Brian can now know that everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"Charles",
"Robert",
"Brian",
"Joseph"
] | 19,859 | internal-0 | 0 | 0.998999 | 0.001001 |
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. It is publicly announced that David does not know whether David's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] Agentb knows that (Agenta knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] 0 | June can now know that David can know that everyone's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"David",
"June"
] | 4,495 | forehead-0 | 0 | 0.998914 | 0.001086 |
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 whether (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 | Arturo can now know whether Betty can know that everyone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Betty",
"Martin",
"Arturo"
] | 18,727 | forehead_mirror-1 | 1 | 0.999327 | 0.000673 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Annette's card is shown to Debbie. Julie's card is shown to Debbie. Annette's card is shown to Annette. Debbie's card is shown to Julie. Annette's card is shown to Julie. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1,2 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:1,2 VALID? [ ! (1|2|3) ] 0 | Julie can now know that everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Debbie",
"Annette",
"Julie"
] | 7,104 | explicit-0 | 0 | 0.998968 | 0.001032 |
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 Bonnie's forehead is not muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Jacquelyn knows whether Bonnie'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) ] Agentc knows that (Agenta knows whether 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 | Bonnie can now know that Jacquelyn can know whether Bonnie's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Jacquelyn",
"Joseph",
"Bonnie"
] | 34,625 | forehead_mirror-1 | 1 | 0.999381 | 0.000619 |
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 Monica 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 (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) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Catherine can now know whether someone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Dora",
"Monica",
"Claude",
"Catherine"
] | 34,785 | forehead_mirror-1 | 1 | 0.999342 | 0.000658 |
There are four persons. Everyone is visible to others. It is publicly announced that someone'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 that (Agentb knows that (1&2&3&4)) | 0 | 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) ] 0 | Heather can now know that Dorothy can know that everyone's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Lester",
"Dorothy",
"Heather",
"Manuel"
] | 15,334 | forehead-0 | 0 | 0.998817 | 0.001183 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Erik knows whether Charlene's forehead is muddy. It is publicly announced that Erik's forehead is not muddy. It is publicly announced that Lashanda knows whether someone'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 2) ] [ ! ~(4) ] [ ! (Agenta knows whether (1|2|3|4)) ] Agenta knows whether (Agentb knows whether 4) | 3 | 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 2) ] [ ! ~(4) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0 | Lashanda can now know whether Charlene can know whether Erik's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Lashanda",
"Charlene",
"Joel",
"Erik"
] | 13,729 | forehead-1 | 1 | 0.999111 | 0.000889 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rick's card is shown to Carol. Jaime's card is shown to Jaime. Rick's card is shown to Jaime. Cindy's card is shown to Jaime. Cindy's card is shown to Rick. Rick's card is shown to Cindy. It is publicly announced that someone picked a red card. It is publicly announced that Rick does not know whether Rick picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3,4 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] Agentd knows whether (Agentc knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3,4 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] 0 | Cindy can now know whether Rick can know that Carol picked a red card. | explicit | 1 | 4 | entailment | [
"Carol",
"Jaime",
"Rick",
"Cindy"
] | 53,839 | explicit-1 | 1 | 0.848822 | 0.151178 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Johnnie's card is shown to Johnnie. Maria's card is shown to Johnnie. Johnnie's card is shown to Tina. Tina's card is shown to Maria. Maria's card is shown to Maria. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] (Agentb knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] 0 | Tina can now know that Maria picked a red card. | explicit | 0 | 3 | not_entailment | [
"Johnnie",
"Tina",
"Maria"
] | 16,076 | explicit-0 | 0 | 0.994876 | 0.005124 |
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 David knows whether Melissa'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 2) ] Agentb knows whether (Agentc 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) ] [ ! (Agenta knows whether 2) ] 0 | Melissa can now know whether Christine can know that everyone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"David",
"Melissa",
"Christine"
] | 67,611 | forehead_mirror-1 | 1 | 0.999334 | 0.000666 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kimberly knows whether Julia's forehead is muddy. It is publicly announced that Julia does not know whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2)) ] Agentb knows that (Agenta knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Julia can now know that Kimberly can know that everyone's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Kimberly",
"Julia"
] | 43,619 | forehead-0 | 0 | 0.995916 | 0.004084 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Harry'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) ] [ ! 3 ] (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) ] [ ! 3 ] 0 | Oliver can now know that everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Oliver",
"Bethany",
"Harry",
"Linda"
] | 59,441 | forehead-0 | 0 | 0.99879 | 0.00121 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Wayne's card is shown to Wayne. Leana's card is shown to Leana. Wayne's card is shown to Norman. Leana's card is shown to Robin. It is publicly announced that someone picked a red card. It is publicly announced that Wayne does not know whether Leana picked a red card. It is publicly announced that Robin knows whether Leana picked a red card. It is publicly announced that Wayne does not know whether Norman picked a red card. It is publicly announced that Leana knows whether someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentd knows whether 2) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] Agentc knows whether (Agenta knows whether 4) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentd knows whether 2) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Norman can now know whether Wayne can know whether Robin picked a red card. | explicit | 1 | 4 | entailment | [
"Wayne",
"Leana",
"Norman",
"Robin"
] | 10,236 | explicit-1 | 1 | 0.998635 | 0.001365 |
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. It is publicly announced that Jennifer knows whether Doris'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 whether 1) ] (Agenta knows whether 2) | 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) ] [ ! (~(1&2&3)) ] [ ! (Agentb knows whether 1) ] 0 | Doris can now know whether Jennifer's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Doris",
"Jennifer",
"Debbie"
] | 27,616 | forehead_mirror-1 | 1 | 0.999361 | 0.000639 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kevin does not know whether James 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) ] Agentd knows that (Agenta knows whether 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 | Tonya can now know that James can know whether Kevin is thirsty. | internal | 1 | 4 | not_entailment | [
"James",
"Kevin",
"Jordan",
"Tonya"
] | 30,052 | internal-0 | 0 | 0.997747 | 0.002253 |
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 Nan knows whether Nan'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 4) ] Agentd knows that (Agentc knows that 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 4) ] 0 | Nan can now know that Martha can know that Nan's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Bettina",
"Nicholas",
"Martha",
"Nan"
] | 29,828 | forehead_mirror-0 | 0 | 0.99671 | 0.00329 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mckenzie knows whether someone is thirsty. It is publicly announced that Everette does not know whether Andre 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)) ] [ ! ~(Agentb knows whether 4) ] (Agentb 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) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 4) ] 0 | Everette can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"Mckenzie",
"Everette",
"Jared",
"Andre"
] | 19,750 | internal-1 | 1 | 0.999368 | 0.000632 |
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 Charles is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] Agenta knows whether (Agentb 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) ] 0 | Charles can now know whether June can know that someone is thirsty. | internal | 1 | 3 | entailment | [
"Charles",
"June",
"Eric"
] | 56,402 | internal-1 | 1 | 0.999479 | 0.000521 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Leona's card is shown to Leona. Anthony's card is shown to Leona. Leona's card is shown to Anthony. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 VALID? [ ! (1|2|3) ] (Agentb knows whether (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 VALID? [ ! (1|2|3) ] 0 | Shirley can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"Leona",
"Shirley",
"Anthony"
] | 8,882 | explicit-1 | 1 | 0.9993 | 0.0007 |
There are three persons. Everyone is visible to others. It is publicly announced that someone'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 (Agentb knows whether 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Gloria can now know whether Daniel can know whether Gloria's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Shamika",
"Daniel",
"Gloria"
] | 26,001 | forehead-1 | 1 | 0.995803 | 0.004197 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Wanda 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 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) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Gloria can now know whether Carolyn is thirsty. | internal | 0 | 4 | not_entailment | [
"Wanda",
"Larry",
"Carolyn",
"Gloria"
] | 4,102 | internal-0 | 0 | 0.996678 | 0.003322 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Larry does not know whether Larry's forehead is muddy. It is publicly announced that 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 whether (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 | Hector can now know whether Larry can know whether or not nobody's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Hector",
"Larry"
] | 18,115 | forehead-1 | 1 | 0.999446 | 0.000554 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Milton's card is shown to Milton. Pedro's card is shown to Pedro. Milton's card is shown to Shirley. Pedro's card is shown to Josh. It is publicly announced that someone picked a red card. It is publicly announced that Milton does not know whether Pedro picked a red card. It is publicly announced that Josh knows whether Pedro picked a red card. It is publicly announced that Milton does not know whether Shirley picked a red card. It is publicly announced that Pedro knows whether someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentd knows whether 2) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] Agenta knows that (Agentc knows whether (1&2&3&4)) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentd knows whether 2) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Milton can now know that Shirley can know whether or not everyone picked a red card. | explicit | 1 | 4 | not_entailment | [
"Milton",
"Pedro",
"Shirley",
"Josh"
] | 7,134 | explicit-0 | 0 | 0.985685 | 0.014315 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Abigail does not know whether or not everyone is thirsty. It is publicly announced that everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (1&2) ] (Agenta knows that 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (1&2) ] 0 | Abigail can now know that Jeffrey is thirsty. | internal | 0 | 2 | entailment | [
"Abigail",
"Jeffrey"
] | 25,348 | internal-1 | 1 | 0.99129 | 0.00871 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Saul's card is shown to Angela. Marcela's card is shown to Angela. Saul's card is shown to Josephine. Josephine's card is shown to Marcela. Marcela's card is shown to Marcela. It is publicly announced that someone picked a red card. It is publicly announced that Marcela picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] Agentb knows that (Agentc knows whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0 | Saul can now know that Josephine can know whether Angela picked a red card. | explicit | 1 | 4 | not_entailment | [
"Angela",
"Saul",
"Josephine",
"Marcela"
] | 18,998 | explicit-0 | 0 | 0.984933 | 0.015067 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Cindy knows whether Alma'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) ] [ ! (Agentb knows whether 1) ] (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) ] [ ! (Agentb knows whether 1) ] 0 | Adrienne can now know whether someone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Alma",
"Cindy",
"Peggy",
"Adrienne"
] | 59,734 | forehead-1 | 1 | 0.999442 | 0.000558 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marco does not know whether or not everyone is thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (~(1&2)) ] Agentb knows whether (Agenta knows that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (~(1&2)) ] 0 | Barbara can now know whether Marco can know that nobody is thirsty. | internal | 1 | 2 | entailment | [
"Marco",
"Barbara"
] | 55,080 | internal-1 | 1 | 0.999338 | 0.000662 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christopher's card is shown to Maria. Maria's card is shown to Christopher. Christopher's card is shown to Christopher. Maria's card is shown to Richard. Christopher's card is shown to Richard. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] (Agenta knows that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] 0 | Maria can now know that Darla picked a red card. | explicit | 0 | 4 | not_entailment | [
"Maria",
"Christopher",
"Darla",
"Richard"
] | 64,448 | explicit-0 | 0 | 0.99857 | 0.00143 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Louise's card is shown to Lucile. Louise's card is shown to Daniel. It is publicly announced that someone picked a red card. It is publicly announced that Daniel picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 VALID? [ ! (1|2|3) ] [ ! 2 ] Agentb knows whether (Agenta knows whether (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 VALID? [ ! (1|2|3) ] [ ! 2 ] 0 | Daniel can now know whether Lucile can know whether or not everyone picked a red card. | explicit | 1 | 3 | entailment | [
"Lucile",
"Daniel",
"Louise"
] | 52,553 | explicit-1 | 1 | 0.870028 | 0.129972 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lindsay knows whether or not everyone is thirsty. It is publicly announced that Miguel 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) ] [ ! (Agentd knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] (Agentd knows whether 3) | 2 | 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 (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0 | Lindsay can now know whether Miguel is thirsty. | internal | 0 | 4 | not_entailment | [
"Michael",
"Delia",
"Miguel",
"Lindsay"
] | 60,756 | internal-0 | 0 | 0.908918 | 0.091082 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jessica's card is shown to Jessica. Laura's card is shown to Jessica. Barbara's card is shown to Laura. Laura's card is shown to Barbara. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] (Agenta knows whether (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] 0 | Jessica can now know whether or not everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Jessica",
"Laura",
"Barbara"
] | 58,907 | explicit-0 | 0 | 0.994935 | 0.005065 |
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. It is publicly announced that Catherine'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)) ] [ ! 1 ] (Agentb knows whether 2) | 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) ] [ ! (~(1&2&3)) ] [ ! 1 ] 0 | Sherri can now know whether Sherri's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Catherine",
"Sherri",
"Misty"
] | 21,464 | forehead_mirror-1 | 1 | 0.999302 | 0.000698 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ronald does not know whether Lino is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] [ ! (1|2) ] (Agenta knows that (~(1|2))) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] [ ! (1|2) ] 0 | Lino can now know that nobody is thirsty. | internal | 0 | 2 | not_entailment | [
"Lino",
"Ronald"
] | 28,889 | internal-0 | 0 | 0.998873 | 0.001127 |
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 John knows whether Elsa's forehead is muddy. It is publicly announced that Elsa'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 3) ] [ ! 3 ] Agenta knows whether (Agentb knows that 1) | 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) ] [ ! (Agentb knows whether 3) ] [ ! 3 ] 0 | Estella can now know whether John can know that Estella's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Estella",
"John",
"Elsa"
] | 29,774 | forehead_mirror-1 | 1 | 0.999379 | 0.000621 |
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 David knows whether someone's forehead is muddy. It is publicly announced that David's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! 1 ] 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) ] [ ! (Agenta knows whether (1|2)) ] [ ! 1 ] 0 | John can now know that David can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"David",
"John"
] | 750 | forehead_mirror-1 | 1 | 0.999355 | 0.000645 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lindsey does not know whether Rita is thirsty. It is publicly announced that Jerry 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) ] [ ! 1 ] Agentb knows whether (Agentc knows whether 3) | 2 | 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) ] [ ! 1 ] 0 | Thelma can now know whether Rita can know whether Rita is thirsty. | internal | 1 | 4 | entailment | [
"Jerry",
"Thelma",
"Rita",
"Lindsey"
] | 56,163 | internal-1 | 1 | 0.998827 | 0.001173 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Roy's card is shown to Roy. Brandon's card is shown to Brandon. Roy's card is shown to Lawrence. Brandon's card is shown to Annetta. It is publicly announced that someone picked a red card. It is publicly announced that Roy does not know whether Brandon picked a red card. It is publicly announced that Annetta knows whether Brandon picked a red card. It is publicly announced that Roy does not know whether Lawrence picked a red card. It is publicly announced that Brandon knows whether someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentd knows whether 2) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] Agenta knows that (Agentc knows whether 3) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentd knows whether 2) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Roy can now know that Lawrence can know whether Lawrence picked a red card. | explicit | 1 | 4 | not_entailment | [
"Roy",
"Brandon",
"Lawrence",
"Annetta"
] | 2,311 | explicit-0 | 0 | 0.803489 | 0.196511 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Harold's card is shown to Harold. Jennifer's card is shown to Harold. Harold's card is shown to Jennifer. Ray's card is shown to Jennifer. Jennifer's card is shown to Ray. Harold's card is shown to Teresa. It is publicly announced that someone picked a red card. It is publicly announced that Jennifer knows whether someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Jennifer picked a black card. It is publicly announced that Harold does not know whether Teresa picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,3 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(Agenta knows whether 4) ] Agenta knows whether (Agentd knows that (~(1|2|3|4))) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,3 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(Agenta knows whether 4) ] 0 | Harold can now know whether Teresa can know that nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Harold",
"Jennifer",
"Ray",
"Teresa"
] | 2,721 | explicit-1 | 1 | 0.999302 | 0.000698 |
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 Gerald knows whether or not nobody'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) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! (1&2&3) ] (Agentc knows whether (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) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! (1&2&3) ] 0 | Bonnie can now know whether someone's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Juan",
"Gerald",
"Bonnie"
] | 12,251 | forehead_mirror-1 | 1 | 0.999467 | 0.000533 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lisa's card is shown to John. John's card is shown to Lisa. Tracy's card is shown to Lisa. John's card is shown to Tracy. Tracy's card is shown to Tracy. 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)) ] Agentc knows that (Agentb knows that (1|2|3)) | 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 | Tracy can now know that Lisa can know that someone picked a red card. | explicit | 1 | 3 | entailment | [
"John",
"Lisa",
"Tracy"
] | 26,671 | explicit-1 | 1 | 0.999365 | 0.000635 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maureen knows whether 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 (1|2|3|4)) ] (Agentd knows whether 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|2|3|4)) ] 0 | Nancy can now know whether Maureen is thirsty. | internal | 0 | 4 | not_entailment | [
"Jessica",
"Maureen",
"John",
"Nancy"
] | 26,018 | internal-0 | 0 | 0.974991 | 0.025009 |
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 Pamela knows whether or not nobody's forehead is muddy. It is publicly announced that Carolyn knows whether 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 (~(1|2|3))) ] [ ! (Agentb knows whether (1|2|3)) ] (Agentc knows whether 1) | 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) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! (Agentb knows whether (1|2|3)) ] 0 | Pamela can now know whether Andrea's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Andrea",
"Carolyn",
"Pamela"
] | 31,043 | forehead_mirror-1 | 1 | 0.999399 | 0.000601 |
There are four 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 1,2,3,4 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) ] Agentb knows whether (Agenta knows that 1) | 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 | Esmeralda can now know whether Brianna can know that Brianna's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Brianna",
"Esmeralda",
"Carmen",
"Mark"
] | 22,355 | forehead-0 | 0 | 0.996873 | 0.003127 |
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 David knows whether Richard's forehead is muddy. It is publicly announced that David knows whether David'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 3) ] [ ! (Agentb knows whether 2) ] Agentb knows that (Agenta knows that 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) ] [ ! (Agentb knows whether 3) ] [ ! (Agentb knows whether 2) ] 0 | David can now know that Melissa can know that Richard's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Melissa",
"David",
"Richard"
] | 10,895 | forehead_mirror-0 | 0 | 0.997685 | 0.002315 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Tim. James's card is shown to Jeannie. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows that 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 VALID? [ ! (1|2|3|4) ] 0 | Tim can now know whether Lee can know that James picked a red card. | explicit | 1 | 4 | entailment | [
"Tim",
"Lee",
"Jeannie",
"James"
] | 20,690 | explicit-1 | 1 | 0.980582 | 0.019418 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Diane knows whether someone'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 (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) ] [ ! (Agentb knows whether (1|2|3)) ] 0 | Diane can now know whether or not everyone's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Eric",
"Diane",
"Anton"
] | 60,434 | forehead-0 | 0 | 0.98935 | 0.01065 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Richard's card is shown to Carolyn. Carolyn's card is shown to Alexis. Alexis's card is shown to Alexis. Alexis's card is shown to Richard. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] Agentc knows whether (Agentb knows whether (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] 0 | Richard can now know whether Alexis can know whether someone picked a red card. | explicit | 1 | 3 | entailment | [
"Carolyn",
"Alexis",
"Richard"
] | 28,452 | explicit-1 | 1 | 0.999394 | 0.000606 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elton's card is shown to Clarence. Clarence's card is shown to Grover. Grover's card is shown to Grover. Clarence's card is shown to Elton. Grover's card is shown to Elton. It is publicly announced that someone picked a red card. It is publicly announced that Grover knows whether Grover picked a red card. It is publicly announced that Clarence does not know whether Grover picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows whether (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agenta knows whether 2) ] 0 | Clarence can now know whether someone picked a red card. | explicit | 0 | 3 | entailment | [
"Clarence",
"Grover",
"Elton"
] | 9,371 | explicit-1 | 1 | 0.999446 | 0.000554 |
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 Fredrick knows whether Terry's forehead is muddy. It is publicly announced that Terry's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! 2 ] (Agenta knows whether (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! 2 ] 0 | Fredrick can now know whether or not nobody's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Fredrick",
"Terry"
] | 45,895 | forehead_mirror-1 | 1 | 0.99936 | 0.00064 |
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 Erica knows whether or not nobody's forehead is muddy. It is publicly announced that Erica knows whether Erica's forehead is muddy. It is publicly announced that Veronica's forehead is muddy. It is publicly announced that Jacqueline knows whether Veronica'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))) ] [ ! (Agentb knows whether 2) ] [ ! 1 ] [ ! (Agentc knows whether 1) ] Agentc knows whether (Agentd knows that 2) | 4 | 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))) ] [ ! (Agentb knows whether 2) ] [ ! 1 ] [ ! (Agentc knows whether 1) ] 0 | Jacqueline can now know whether Philip can know that Erica's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Veronica",
"Erica",
"Jacqueline",
"Philip"
] | 55,763 | forehead_mirror-1 | 1 | 0.999472 | 0.000528 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Emanuel's card is shown to Juanita. Erica's card is shown to Juanita. Ruth's card is shown to Juanita. Juanita's card is shown to Erica. Erica's card is shown to Erica. Erica's card is shown to Ruth. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 1) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] 0 | Emanuel can now know whether Juanita picked a red card. | explicit | 0 | 4 | entailment | [
"Juanita",
"Emanuel",
"Erica",
"Ruth"
] | 19,470 | explicit-1 | 0 | 0.701081 | 1.701081 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John knows whether or not nobody'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) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] Agentd knows that (Agentc knows whether 3) | 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) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0 | Christina can now know that Darla can know whether Darla's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Shirlee",
"John",
"Darla",
"Christina"
] | 24,556 | forehead-0 | 0 | 0.995971 | 0.004029 |
There are three 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 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agentb knows whether (Agentc 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) ] [ ! (1|2|3) ] 0 | Edward can now know whether Carolyn can know that nobody's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Sharon",
"Edward",
"Carolyn"
] | 42,691 | forehead-1 | 1 | 0.999105 | 0.000895 |
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 Jeffrey knows whether or not everyone's forehead is muddy. It is publicly announced that Roy'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) ] [ ! (Agentd knows whether (1&2&3&4)) ] [ ! ~(3) ] (Agenta knows whether 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) ] [ ! (Agentd knows whether (1&2&3&4)) ] [ ! ~(3) ] 0 | Karen can now know whether Sandra's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Karen",
"Sandra",
"Roy",
"Jeffrey"
] | 30,301 | forehead_mirror-1 | 1 | 0.999445 | 0.000555 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John does not know whether John's forehead is muddy. It is publicly announced that James 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 3) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentc knows that 2) | 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) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | John can now know that Christopher's forehead is muddy. | forehead | 0 | 4 | entailment | [
"James",
"Christopher",
"John",
"Phillip"
] | 9,231 | forehead-1 | 1 | 0.89343 | 0.10657 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Hattie's forehead is not muddy. It is publicly announced that Juan knows whether Thomas'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) ] [ ! ~(3) ] [ ! (Agenta knows whether 2) ] Agenta knows that (Agentc 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) ] [ ! ~(3) ] [ ! (Agenta knows whether 2) ] 0 | Juan can now know that Hattie can know that someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Juan",
"Thomas",
"Hattie",
"Kathleen"
] | 43,708 | forehead-1 | 1 | 0.999484 | 0.000516 |
There are four persons. Everyone is visible to others. It is publicly announced that someone'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 (Agentc knows that (1&2&3&4)) | 0 | 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) ] 0 | George can now know whether Daniel can know that everyone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"George",
"Clark",
"Daniel",
"Frederick"
] | 41,361 | forehead-1 | 1 | 0.988366 | 0.011634 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ophelia is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] Agentb knows that (Agentc 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) ] [ ! 3 ] 0 | Dave can now know that Ophelia can know whether or not everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Rachel",
"Dave",
"Ophelia",
"Connie"
] | 41,855 | internal-0 | 1 | 0.876241 | 1.876241 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Alfred's card is shown to Alfred. Lela's card is shown to Alfred. Georgianna's card is shown to Alfred. Alfred's card is shown to Kathleen. Lela's card is shown to Kathleen. Georgianna's card is shown to Lela. Alfred's card is shown to Georgianna. Lela's card is shown to Georgianna. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:1,3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agenta knows that (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:1,3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0 | Kathleen can now know whether Alfred can know that everyone picked a red card. | explicit | 1 | 4 | entailment | [
"Alfred",
"Kathleen",
"Lela",
"Georgianna"
] | 9,428 | explicit-1 | 1 | 0.984887 | 0.015113 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Bradford does not know whether Bradford'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) ] Agenta knows that (Agentb 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) ] [ ! ~(Agentd knows whether 4) ] 0 | Lawrence can now know that Elizabeth can know whether or not everyone's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Lawrence",
"Elizabeth",
"Jacqueline",
"Bradford"
] | 44,038 | forehead-0 | 0 | 0.98836 | 0.01164 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Gary 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)) ] Agentc knows whether (Agenta knows that 1) | 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 | Gary can now know whether Dorothy can know that Dorothy's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Dorothy",
"Rachel",
"Gary",
"Bonnie"
] | 56,626 | forehead-1 | 0 | 0.723357 | 1.723357 |