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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 Armanda does not know whether Lance is thirsty. It is publicly announced that Franklin does not know whether Armanda is thirsty. It is publicly announced that Lance does not know whether Franklin 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) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentc knows whether 2) ] (Agentd knows that 4) | 3 | 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) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentc knows whether 2) ] 0 | Armanda can now know that Armanda is thirsty. | internal | 0 | 4 | not_entailment | [
"Susana",
"Franklin",
"Lance",
"Armanda"
] | 48,935 | internal-0 | 0 | 0.97476 | 0.02524 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Richard does not know whether Richard'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) ] Agentb knows whether (Agenta 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) ] [ ! ~(Agenta knows whether 1) ] 0 | Lydia can now know whether Richard can know whether or not nobody's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Richard",
"Lydia",
"Delilah"
] | 57,601 | forehead-1 | 1 | 0.999391 | 0.000609 |
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 Trula 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)) ] Agentc 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) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | Glenn can now know that Blanche can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Blanche",
"Trula",
"Glenn"
] | 45,684 | forehead_mirror-0 | 0 | 0.998961 | 0.001039 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Robert knows whether Jim's forehead is muddy. It is publicly announced that Robert knows whether or not nobody's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] [ ! (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) ] [ ! (Agentb knows whether 1) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Robert can now know that Jim can know that everyone's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Jim",
"Robert"
] | 22,346 | forehead-0 | 0 | 0.998949 | 0.001051 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Lori knows whether someone is thirsty. It is publicly announced that Jonathan does not know whether Lori is thirsty. It is publicly announced that Jonathan knows whether or not nobody is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agentb knows whether 1) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | Jonathan can now know whether Brenda is thirsty. | internal | 0 | 3 | not_entailment | [
"Brenda",
"Jonathan",
"Lori"
] | 77 | internal-0 | 0 | 0.998448 | 0.001552 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Stephanie is not thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! ~(1) ] (Agentb knows that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! ~(1) ] 0 | Marvis can now know that nobody is thirsty. | internal | 0 | 2 | not_entailment | [
"Stephanie",
"Marvis"
] | 53,850 | internal-0 | 0 | 0.99898 | 0.00102 |
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 Nathaniel knows whether Nathaniel's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] (Agenta knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] 0 | Nathaniel can now know whether Michelle's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Nathaniel",
"Michelle"
] | 14,372 | forehead_mirror-1 | 1 | 0.999413 | 0.000587 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Eric 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 (1&2&3&4)) ] (Agenta knows whether 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&2&3&4)) ] 0 | Eric can now know whether Gilbert is thirsty. | internal | 0 | 4 | not_entailment | [
"Eric",
"Ronald",
"Lise",
"Gilbert"
] | 64,578 | internal-0 | 0 | 0.992766 | 0.007234 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Roland's card is shown to Joseph. Mable's card is shown to Mable. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 VALID? [ ! (1|2|3) ] (Agenta knows whether (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 VALID? [ ! (1|2|3) ] 0 | Joseph can now know whether or not everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Joseph",
"Mable",
"Roland"
] | 46,344 | explicit-0 | 0 | 0.995162 | 0.004838 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bobby does not know whether William is thirsty. It is publicly announced that Bobby is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(1) ] Agenta knows that (Agentc knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(1) ] 0 | Bobby can now know that William can know that nobody is thirsty. | internal | 1 | 3 | not_entailment | [
"Bobby",
"Janet",
"William"
] | 31,172 | internal-0 | 0 | 0.998937 | 0.001063 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cassandra's card is shown to Cassandra. Cassandra's card is shown to Sarah. Sarah's card is shown to Sarah. Matthew's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Cassandra does not know whether Robert picked a red card. It is publicly announced that Matthew picked a red card. It is publicly announced that Sarah does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! 4 ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agentb knows that 3) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! 4 ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Sarah can now know that Robert picked a red card. | explicit | 0 | 4 | not_entailment | [
"Cassandra",
"Sarah",
"Robert",
"Matthew"
] | 34,968 | explicit-0 | 0 | 0.881867 | 0.118133 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Carrie. Carrie's card is shown to Mark. Mark's card is shown to Marquis. Robert's card is shown to Marquis. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentc knows whether (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3|4) ] 0 | Mark can now know whether Robert can know whether or not nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Carrie",
"Mark",
"Robert",
"Marquis"
] | 30,120 | explicit-1 | 1 | 0.999348 | 0.000652 |
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) ] Agentc knows that (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 | Gerald can now know that Gary can know that someone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Marcy",
"Geoffrey",
"Gerald",
"Gary"
] | 19,213 | forehead_mirror-1 | 1 | 0.999274 | 0.000726 |
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 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) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentb knows that (Agentd knows whether 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&2&3&4)) ] 0 | Diane can now know that Jose can know whether Jose's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Keith",
"Diane",
"Allen",
"Jose"
] | 25,706 | forehead-1 | 1 | 0.65037 | 0.34963 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Donald does not know whether Donald's forehead is muddy. It is publicly announced that Carl 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)) ] (Agentb knows whether 3) | 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 | Justin can now know whether Donald's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Carl",
"Justin",
"Donald",
"Gerald"
] | 4,124 | forehead-1 | 1 | 0.996491 | 0.003509 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sheila'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) ] [ ! ~(2) ] Agenta knows whether (Agentc knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] 0 | Jody can now know whether Anna can know that Sheila's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Jody",
"Sheila",
"Anna"
] | 37,791 | forehead-1 | 1 | 0.98588 | 0.01412 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jared does not know whether Kylie 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 3) ] Agentb 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) ] [ ! ~(Agenta knows whether 3) ] 0 | Patricia can now know that Jared can know whether or not everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Jared",
"Patricia",
"Kylie",
"Harold"
] | 33,647 | internal-0 | 0 | 0.995083 | 0.004917 |
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 Billy knows whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] (Agentb 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 (1&2)) ] 0 | Kenneth can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 2 | not_entailment | [
"Billy",
"Kenneth"
] | 45,592 | forehead_mirror-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 Amber is not thirsty. It is publicly announced that Holly is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! 4 ] Agenta knows that (Agentd knows that 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! 4 ] 0 | John can now know that Holly can know that Amber is thirsty. | internal | 1 | 4 | not_entailment | [
"John",
"Bryan",
"Amber",
"Holly"
] | 42,467 | internal-0 | 0 | 0.995551 | 0.004449 |
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. It is publicly announced that not everyone'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) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] Agentc knows whether (Agentb 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) ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] 0 | Christopher can now know whether Arlene can know whether Christopher's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Robert",
"Arlene",
"Christopher"
] | 6,128 | forehead_mirror-1 | 1 | 0.999339 | 0.000661 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Susie does not know whether Derek is thirsty. It is publicly announced that Susie does not know whether Jill 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) ] [ ! ~(Agentd knows whether 3) ] Agentd knows that (Agenta 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) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentd knows whether 3) ] 0 | Susie can now know that Derek can know whether or not everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Derek",
"Don",
"Jill",
"Susie"
] | 24,060 | internal-0 | 0 | 0.997305 | 0.002695 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Travis does not know whether Jason is thirsty. It is publicly announced that Travis does not know whether Sam 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 3) ] (Agenta knows whether 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] 0 | Jason can now know whether Travis is thirsty. | internal | 0 | 3 | not_entailment | [
"Jason",
"Travis",
"Sam"
] | 3,529 | internal-0 | 0 | 0.97275 | 0.02725 |
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 Nicole'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) ] [ ! 3 ] 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) ] [ ! 3 ] 0 | Dominic can now know that Lori can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Dominic",
"Lori",
"Nicole",
"Jan"
] | 29,902 | forehead_mirror-0 | 0 | 0.998973 | 0.001027 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ernest 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) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (~(1&2)) ] Agenta knows whether (Agentb knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (~(1&2)) ] 0 | Sergio can now know whether Ernest can know whether someone is thirsty. | internal | 1 | 2 | entailment | [
"Sergio",
"Ernest"
] | 14,435 | internal-1 | 1 | 0.999442 | 0.000558 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Martha does not know whether Glen 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) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3|4) ] (Agenta 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) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3|4) ] 0 | Glen can now know whether Martha is thirsty. | internal | 0 | 4 | not_entailment | [
"Glen",
"Juana",
"Martha",
"Albert"
] | 21,631 | internal-0 | 0 | 0.990665 | 0.009335 |
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 Amy 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 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) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Alana can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Chantelle",
"Amy",
"Silva",
"Alana"
] | 16,228 | forehead_mirror-0 | 0 | 0.999006 | 0.000994 |
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)) ] (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) ] [ ! (~(1&2&3&4)) ] 0 | Gloria can now know whether someone is thirsty. | internal | 0 | 4 | entailment | [
"Jesus",
"Israel",
"Maria",
"Gloria"
] | 25,862 | internal-1 | 1 | 0.999268 | 0.000732 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Patricia's card is shown to John. Larry's card is shown to Larry. Patricia's card is shown to Larry. It is publicly announced that someone picked a red card. It is publicly announced that Patricia picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] (Agenta knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0 | Linda can now know whether John picked a red card. | explicit | 0 | 4 | not_entailment | [
"Linda",
"John",
"Larry",
"Patricia"
] | 36,599 | explicit-0 | 0 | 0.991551 | 0.008449 |
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 Evelyn knows whether Jarrett'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 2) ] Agentb knows that (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) ] [ ! (Agentd knows whether 2) ] 0 | Jarrett can now know that Kelly can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Kelly",
"Jarrett",
"Barbara",
"Evelyn"
] | 839 | forehead_mirror-0 | 0 | 0.998945 | 0.001055 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kendra knows whether Kendra'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) ] Agentd 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 | Rodney can now know that James can know whether or not everyone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Ruth",
"James",
"Kendra",
"Rodney"
] | 12,116 | forehead-1 | 0 | 0.957865 | 1.957865 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Marion's forehead is not muddy. It is publicly announced that Pearl does not know whether Pearl's forehead is muddy. It is publicly announced that Pearl 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) ] [ ! ~(2) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agentc knows whether (~(1|2|3))) ] Agenta knows that (Agentc knows whether 3) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0 | Randy can now know that Pearl can know whether Pearl's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Randy",
"Marion",
"Pearl"
] | 36,650 | forehead-0 | 0 | 0.809092 | 0.190908 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Diana does not know whether Dennis 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 that (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) ] [ ! ~(Agentb knows whether 4) ] 0 | Diana can now know that Josephine can know that nobody is thirsty. | internal | 1 | 4 | not_entailment | [
"Ronald",
"Diana",
"Josephine",
"Dennis"
] | 28,234 | internal-0 | 0 | 0.998986 | 0.001014 |
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 Larry knows whether Nicholas'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) ] (Agentb 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 | Linda can now know that Charles's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Charles",
"Linda",
"Larry",
"Nicholas"
] | 38,295 | forehead_mirror-0 | 0 | 0.998113 | 0.001887 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mariana knows whether or not everyone's forehead is muddy. It is publicly announced that Kristi does not know whether Kristi's forehead is muddy. It is publicly announced that Mariana does not know whether Mariana'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 (1&2&3&4)) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentd knows whether 4) ] Agentc knows that (Agentb knows whether (1&2&3&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 (1&2&3&4)) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentd knows whether 4) ] 0 | Barry can now know that Kristi can know whether or not everyone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Isaiah",
"Kristi",
"Barry",
"Mariana"
] | 46,859 | forehead-1 | 1 | 0.803668 | 0.196332 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Adam does not know whether or not everyone is thirsty. It is publicly announced that Beulah knows whether Adam is thirsty. It is publicly announced that Beulah is not thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! ~(1) ] Agentb knows whether (Agenta knows whether 1) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! ~(1) ] 0 | Adam can now know whether Beulah can know whether Beulah is thirsty. | internal | 1 | 2 | entailment | [
"Beulah",
"Adam"
] | 65,893 | internal-1 | 1 | 0.998494 | 0.001506 |
There are four 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 Margaret does not know whether Bernardo 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) ] [ ! ~(Agentb knows whether 1) ] (Agentb 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) ] [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0 | Margaret can now know that someone is thirsty. | internal | 0 | 4 | entailment | [
"Bernardo",
"Margaret",
"Thomas",
"Judith"
] | 35,558 | internal-1 | 1 | 0.999458 | 0.000542 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charles does not know whether or not everyone is thirsty. It is publicly announced that Charles 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) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentc knows whether (Agenta 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&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Arnulfo can now know whether Charles can know that Arnulfo is thirsty. | internal | 1 | 3 | entailment | [
"Charles",
"Linda",
"Arnulfo"
] | 27,708 | internal-1 | 1 | 0.970582 | 0.029418 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jennifer's card is shown to Jennifer. Margart's card is shown to Jennifer. Jennifer's card is shown to Margart. Matthew's card is shown to Margart. Jennifer's card is shown to Barbara. Margart's card is shown to Barbara. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:1,3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows whether 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0 | Jennifer can now know whether Margart can know whether Matthew picked a red card. | explicit | 1 | 4 | entailment | [
"Jennifer",
"Matthew",
"Margart",
"Barbara"
] | 30,681 | explicit-1 | 1 | 0.998747 | 0.001253 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Van does not know whether Robin is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Kevin does not know whether Robin is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] (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 3) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0 | Van can now know whether or not everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Kevin",
"Van",
"Robin"
] | 49,207 | internal-0 | 0 | 0.995463 | 0.004537 |
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 Mario's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(1) ] Agentb knows that (Agenta knows that 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(1) ] 0 | Philip can now know that Mario can know that Mario's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Mario",
"Philip"
] | 48,763 | forehead_mirror-0 | 0 | 0.995636 | 0.004364 |
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 Dana's forehead is muddy. It is publicly announced that Anthony knows whether Dana'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) ] [ ! 3 ] [ ! (Agentd knows whether 3) ] Agenta knows that (Agentc knows that (~(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) ] [ ! 3 ] [ ! (Agentd knows whether 3) ] 0 | David can now know that Dana can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"David",
"Christine",
"Dana",
"Anthony"
] | 433 | forehead_mirror-0 | 0 | 0.99903 | 0.00097 |
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) ] Agentb knows that (Agentc knows that (1|2|3)) | 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 | James can now know that Shaina can know that someone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"William",
"James",
"Shaina"
] | 61,892 | forehead_mirror-1 | 1 | 0.999293 | 0.000707 |
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 Eileen 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 that (Agentc knows that 2) | 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 | Eileen can now know that Kenneth can know that Eileen's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"James",
"Eileen",
"Kenneth"
] | 12,154 | forehead-0 | 0 | 0.993616 | 0.006384 |
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. | 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 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 | Rebecca can now know that Keith's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Rebecca",
"Joan",
"Keith",
"Evan"
] | 13,499 | forehead_mirror-0 | 0 | 0.992379 | 0.007621 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Francine's card is shown to Francine. Francine's card is shown to Amanda. Amanda's card is shown to Amanda. It is publicly announced that someone picked a red card. It is publicly announced that Francine does not know whether Amanda picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] Agenta knows whether (Agentb knows that (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] 0 | Francine can now know whether Amanda can know that everyone picked a red card. | explicit | 1 | 2 | not_entailment | [
"Francine",
"Amanda"
] | 66,146 | explicit-0 | 1 | 0.981711 | 1.981711 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jack does not know 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) ] [ ! ~(Agentb knows whether 4) ] Agenta knows that (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) ] [ ! ~(Agentb knows whether 4) ] 0 | Katherine can now know that Bruce can know that someone is thirsty. | internal | 1 | 4 | entailment | [
"Katherine",
"Jack",
"Bruce",
"Dorothy"
] | 57,137 | internal-1 | 1 | 0.999386 | 0.000614 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George does not know whether or not everyone is thirsty. It is publicly announced that Evelyn 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)) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows that (Agentc knows that 1) | 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)) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Jennifer can now know that Evelyn can know that Jennifer is thirsty. | internal | 1 | 3 | not_entailment | [
"Jennifer",
"George",
"Evelyn"
] | 36,171 | internal-0 | 0 | 0.963209 | 0.036791 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Randall's card is shown to Odell. David's card is shown to David. Odell's card is shown to James. Odell's card is shown to Randall. David's card is shown to Randall. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows whether 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] 0 | James can now know whether Odell can know whether James picked a red card. | explicit | 1 | 4 | entailment | [
"Odell",
"David",
"James",
"Randall"
] | 11,628 | explicit-1 | 1 | 0.991864 | 0.008136 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sylvia is thirsty. It is publicly announced that Sylvia knows whether Sylvia is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agentc knows whether 3) ] Agenta knows whether (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) ] [ ! 3 ] [ ! (Agentc knows whether 3) ] 0 | John can now know whether Sylvia can know whether someone is thirsty. | internal | 1 | 3 | entailment | [
"John",
"Ernest",
"Sylvia"
] | 26,414 | internal-1 | 1 | 0.999491 | 0.000509 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Margaret knows whether Margaret's forehead is muddy. It is publicly announced that Margaret knows whether Margaret's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether 1) ] (Agentb knows that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether 1) ] 0 | Clay can now know that nobody's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Margaret",
"Clay"
] | 65,233 | forehead-0 | 0 | 0.998915 | 0.001085 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gayle is not 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 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) ] [ ! ~(3) ] 0 | Nancy can now know that Mary is thirsty. | internal | 0 | 4 | not_entailment | [
"Nancy",
"Mary",
"Gayle",
"Ruth"
] | 63,228 | internal-0 | 0 | 0.997537 | 0.002463 |
There are two 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. It is publicly announced that Gary's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 2 ] Agenta knows whether (Agentb knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 2 ] 0 | Dean can now know whether Gary can know that everyone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Dean",
"Gary"
] | 274 | forehead-1 | 1 | 0.994763 | 0.005237 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jacqueline's card is shown to Tamara. Jacqueline's card is shown to Jacqueline. Tamara's card is shown to Robert. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] (Agentb knows whether 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Jacqueline can now know whether Robert picked a red card. | explicit | 0 | 3 | not_entailment | [
"Tamara",
"Jacqueline",
"Robert"
] | 30,148 | explicit-0 | 0 | 0.996724 | 0.003276 |
There are three persons. Everyone is visible to others. It is publicly announced that someone 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)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Manuel can now know whether or not everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Gayle",
"Barbara",
"Manuel"
] | 18,462 | internal-0 | 0 | 0.992029 | 0.007971 |
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 Mildred knows whether Lynelle's forehead is muddy. It is publicly announced that Mildred's forehead is not muddy. It is publicly announced that James knows whether Mildred'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) ] [ ! ~(1) ] [ ! (Agentc knows whether 1) ] (Agentb 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 2) ] [ ! ~(1) ] [ ! (Agentc knows whether 1) ] 0 | Lynelle can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Mildred",
"Lynelle",
"James"
] | 45,031 | forehead_mirror-0 | 0 | 0.998887 | 0.001113 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kathryn knows whether Kathryn 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 4) ] Agenta knows whether (Agentc 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) ] [ ! (Agentd knows whether 4) ] 0 | William can now know whether Camille can know whether Carrie is thirsty. | internal | 1 | 4 | entailment | [
"William",
"Carrie",
"Camille",
"Kathryn"
] | 59,622 | internal-1 | 1 | 0.999147 | 0.000853 |
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 Matthew'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) ] [ ! ~(1) ] (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) ] [ ! ~(1) ] 0 | Betty can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Matthew",
"Robert",
"Betty"
] | 32,909 | forehead_mirror-0 | 0 | 0.998872 | 0.001128 |
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 Kevin knows whether Kevin's forehead is muddy. It is publicly announced that Keith'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 2) ] [ ! 3 ] [ ! (1&2&3) ] Agentc knows whether (Agenta 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) ] [ ! (Agentb knows whether 2) ] [ ! 3 ] [ ! (1&2&3) ] 0 | Keith can now know whether Teresita can know that someone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Teresita",
"Kevin",
"Keith"
] | 16,209 | forehead_mirror-1 | 1 | 0.999443 | 0.000557 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kimberly knows whether Sherry is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] Agenta knows that (Agentb knows whether (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0 | Kimberly can now know that Sherry can know whether or not everyone is thirsty. | internal | 1 | 2 | entailment | [
"Kimberly",
"Sherry"
] | 19,369 | internal-1 | 0 | 0.982237 | 1.982237 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Matthew's card is shown to Matthew. Anne's card is shown to Anne. Anne's card is shown to John. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] 0 | John can now know that Matthew can know that John picked a red card. | explicit | 1 | 3 | not_entailment | [
"Matthew",
"Anne",
"John"
] | 62,714 | explicit-0 | 0 | 0.998167 | 0.001833 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Brad knows whether or not nobody's forehead is muddy. It is publicly announced that John does not know whether or not everyone's forehead is muddy. It is publicly announced that John's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 2 ] Agenta knows whether (Agentb knows that 1) | 3 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 2 ] 0 | Brad can now know whether John can know that Brad's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Brad",
"John"
] | 24,616 | forehead-1 | 1 | 0.593292 | 0.406708 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether or not everyone is thirsty. It is publicly announced that Lisa is not thirsty. It is publicly announced that Lisa knows whether someone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2)) ] Agentb knows that (Agenta knows that (1&2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2)) ] 0 | Lisa can now know that Robert can know that everyone is thirsty. | internal | 1 | 2 | not_entailment | [
"Robert",
"Lisa"
] | 44,723 | internal-0 | 0 | 0.997687 | 0.002313 |
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 Elizabeth. Mary's card is shown to William. Mary's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that William does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Mary can now know that everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Elizabeth",
"William",
"Mary"
] | 10,730 | explicit-0 | 0 | 0.998599 | 0.001401 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kevin knows whether 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) ] [ ! (Agentb knows whether (1|2)) ] [ ! (1|2) ] (Agentb knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (1|2) ] 0 | Kevin can now know whether Kevin's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Adrienne",
"Kevin"
] | 127 | forehead-0 | 0 | 0.992392 | 0.007608 |
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 Amy 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) ] [ ! (Agenta knows whether (~(1|2|3))) ] (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) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | John can now know whether or not nobody's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Amy",
"John",
"Milton"
] | 31,582 | forehead_mirror-1 | 1 | 0.999216 | 0.000784 |
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 or not everyone's forehead is muddy. It is publicly announced that Christopher'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)) ] [ ! 3 ] (Agenta knows that (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) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! 3 ] 0 | Michael can now know that everyone's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Michael",
"Kelly",
"Christopher"
] | 53,737 | forehead-0 | 0 | 0.996914 | 0.003086 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Matthew does not know whether or not everyone's forehead is muddy. It is publicly announced that Robert'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)) ] [ ! 4 ] Agentc knows that (Agenta 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 (1&2&3&4)) ] [ ! 4 ] 0 | Matthew can now know that Brenda can know that Timothy's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Brenda",
"Timothy",
"Matthew",
"Robert"
] | 20,758 | forehead-1 | 1 | 0.959252 | 0.040748 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mercedes does not know whether Jeffrey is thirsty. It is publicly announced that Mercedes 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) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Mercedes can now know that Mercedes is thirsty. | internal | 0 | 3 | entailment | [
"Mercedes",
"Michael",
"Jeffrey"
] | 56,078 | internal-1 | 0 | 0.690241 | 1.690241 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Stephen's card is shown to Stephen. Delbert's card is shown to Stephen. Delbert's card is shown to Delbert. Amanda's card is shown to Delbert. Stephen's card is shown to Amanda. Delbert's card is shown to Amanda. It is publicly announced that someone picked a red card. It is publicly announced that Amanda knows whether Delbert picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] (Agentb knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] 0 | Delbert can now know that Amanda picked a red card. | explicit | 0 | 3 | not_entailment | [
"Stephen",
"Delbert",
"Amanda"
] | 62,405 | explicit-0 | 0 | 0.987219 | 0.012781 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Georgeanna does not know whether Elsie is thirsty. It is publicly announced that Ricky does not know whether Elsie 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 whether 4) ] (Agentb knows whether 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) ] [ ! ~(Agentc knows whether 4) ] 0 | Georgeanna can now know whether Elsie is thirsty. | internal | 0 | 4 | not_entailment | [
"Linda",
"Georgeanna",
"Ricky",
"Elsie"
] | 67,412 | internal-0 | 0 | 0.910552 | 0.089448 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Coral's card is shown to Andrea. Andrea's card is shown to Coral. It is publicly announced that someone picked a red card. It is publicly announced that Coral knows whether someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] Agenta knows that (Agentb knows whether 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] 0 | Andrea can now know that Coral can know whether Andrea picked a red card. | explicit | 1 | 2 | entailment | [
"Andrea",
"Coral"
] | 13,883 | explicit-1 | 1 | 0.863406 | 0.136594 |
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. It is publicly announced that Cindy'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) ] [ ! 1 ] (Agentb knows whether 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) ] [ ! (1|2|3|4) ] [ ! 1 ] 0 | Paul can now know whether Paul's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Cindy",
"Paul",
"Frederick",
"Victor"
] | 15,322 | forehead-0 | 0 | 0.967306 | 0.032694 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Calvin's card is shown to Calvin. Joseph's card is shown to Calvin. Randall's card is shown to Calvin. Joseph's card is shown to Joseph. Randall's card is shown to Randall. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] (Agenta knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Calvin can now know that Randall picked a red card. | explicit | 0 | 3 | not_entailment | [
"Calvin",
"Joseph",
"Randall"
] | 14,300 | explicit-0 | 0 | 0.997328 | 0.002672 |
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. | 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 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 | Kimberly can now know that Rosa's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Garland",
"Rosa",
"Charlotte",
"Kimberly"
] | 26,393 | forehead_mirror-0 | 0 | 0.991406 | 0.008594 |
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 Robert'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) ] [ ! 2 ] [ ! (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) ] [ ! 2 ] [ ! (1|2|3) ] 0 | Lynn can now know whether or not nobody's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Anne",
"Robert",
"Lynn"
] | 24,612 | forehead_mirror-1 | 1 | 0.999379 | 0.000621 |
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 Charles 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) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1&2&3)) ] (Agenta knows that 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)) ] [ ! (Agentc knows whether (1&2&3)) ] 0 | Tamika can now know that Michelle's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Tamika",
"Michelle",
"Charles"
] | 32,938 | forehead_mirror-0 | 0 | 0.970865 | 0.029135 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Manuel does not know whether or not everyone's forehead is muddy. It is publicly announced that Amanda knows whether or not nobody's forehead is muddy. It is publicly announced that Manuel 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))) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc 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) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Amanda can now know that someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Rebecca",
"Manuel",
"Amanda"
] | 46,374 | forehead-1 | 1 | 0.999487 | 0.000513 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert is not thirsty. It is publicly announced that Robert does not know whether Alisa is thirsty. It is publicly announced that Sue does not know whether John is thirsty. It is publicly announced that Sue does not know whether John 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 whether (Agentc knows whether (1|2|3|4)) | 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 | Alisa can now know whether Robert can know whether someone is thirsty. | internal | 1 | 4 | entailment | [
"Sue",
"Alisa",
"Robert",
"John"
] | 39,747 | internal-1 | 1 | 0.999475 | 0.000525 |
There are four persons. Everyone is visible to others. It is publicly announced that someone 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) ] [ ! (1|2|3|4) ] (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) ] [ ! (1|2|3|4) ] 0 | Rita can now know whether someone is thirsty. | internal | 0 | 4 | entailment | [
"Katherine",
"Leslie",
"Rita",
"Jerry"
] | 49,691 | internal-1 | 1 | 0.999412 | 0.000588 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cynthia does not know whether Brandy 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) ] (Agentb 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) ] [ ! ~(Agentc knows whether 1) ] 0 | Edward can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"Brandy",
"Edward",
"Cynthia",
"Dorthy"
] | 29,851 | internal-1 | 1 | 0.999338 | 0.000662 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Edith does not know whether Richard is thirsty. It is publicly announced that Richard does not know whether or not everyone is thirsty. It is publicly announced that everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (1&2&3) ] Agentb knows that (Agenta knows that (1|2|3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (1&2&3) ] 0 | Madaline can now know that Richard can know that someone is thirsty. | internal | 1 | 3 | entailment | [
"Richard",
"Madaline",
"Edith"
] | 26,819 | internal-1 | 1 | 0.999479 | 0.000521 |
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) ] Agenta knows that (Agentb 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) ] [ ! (1&2&3&4) ] 0 | Richard can now know that Gidget can know that everyone is thirsty. | internal | 1 | 4 | entailment | [
"Richard",
"Gidget",
"Irene",
"John"
] | 605 | internal-1 | 1 | 0.993874 | 0.006126 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Joesph knows whether John'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 4) ] Agenta knows whether (Agentd knows whether 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) ] [ ! (Agentc knows whether 4) ] 0 | Lasandra can now know whether John can know whether Joyce's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Lasandra",
"Joyce",
"Joesph",
"John"
] | 20,524 | forehead-1 | 1 | 0.999345 | 0.000655 |
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. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agenta knows that (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) ] [ ! (~(1&2&3)) ] 0 | Robert can now know that Danielle can know that nobody's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Robert",
"Danielle",
"Patricia"
] | 23,153 | forehead-0 | 0 | 0.998851 | 0.001149 |
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 David'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) ] [ ! ~(3) ] Agentd knows that (Agenta 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) ] [ ! ~(3) ] 0 | John can now know that Delma can know that Joseph's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Delma",
"Joseph",
"David",
"John"
] | 61,563 | forehead_mirror-0 | 0 | 0.997611 | 0.002389 |
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 William knows whether or not everyone'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)) ] (Agenta 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 | Michael can now know whether or not everyone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Michael",
"William",
"Jerry",
"Juan"
] | 32,898 | forehead_mirror-1 | 1 | 0.999326 | 0.000674 |
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 Betty knows whether Karen'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) ] (Agentb 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 3) ] 0 | Teresa can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Betty",
"Teresa",
"Karen"
] | 18,930 | forehead_mirror-0 | 0 | 0.999008 | 0.000992 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Hope knows whether or not nobody's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Laura'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))) ] [ ! (~(1&2&3)) ] [ ! 3 ] (Agentb knows that 2) | 3 | 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))) ] [ ! (~(1&2&3)) ] [ ! 3 ] 0 | Hope can now know that Hope's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Todd",
"Hope",
"Laura"
] | 40,426 | forehead-0 | 0 | 0.984432 | 0.015568 |
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. | 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 that (Agentc 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) ] [ ! (~(1&2&3&4)) ] 0 | Tanya can now know that Tasha can know that Kathleen's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Kathleen",
"Tanya",
"Tasha",
"Robert"
] | 44,505 | forehead_mirror-0 | 0 | 0.991249 | 0.008751 |
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 Shannon. Harold's card is shown to Harold. Harold's card is shown to Christine. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:2 VALID? [ ! (1|2|3|4) ] (Agentb knows that (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:2 VALID? [ ! (1|2|3|4) ] 0 | Harold can now know that everyone picked a red card. | explicit | 0 | 4 | not_entailment | [
"Shannon",
"Harold",
"Christine",
"Delores"
] | 28,332 | explicit-0 | 0 | 0.998981 | 0.001019 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that William's forehead is not muddy. It is publicly announced that William knows whether someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rod does not know whether Rod's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] Agenta knows that (Agentc knows that 3) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] 0 | Rod can now know that Lewis can know that Lewis's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Rod",
"William",
"Lewis"
] | 34,326 | forehead-1 | 0 | 0.998052 | 1.998052 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Daniel's card is shown to Larry. Daniel's card is shown to Herman. Herman's card is shown to Herman. It is publicly announced that someone picked a red card. It is publicly announced that Larry does not know whether Larry picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] (Agentb knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] 0 | James can now know whether Daniel picked a red card. | explicit | 0 | 4 | entailment | [
"Larry",
"James",
"Daniel",
"Herman"
] | 13,076 | explicit-1 | 1 | 0.867744 | 0.132256 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jeffrey knows whether Jeffrey'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 (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) ] [ ! (Agenta knows whether 1) ] 0 | Jeffrey can now know whether Constance can know that Corazon's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Jeffrey",
"Constance",
"Corazon"
] | 1,697 | forehead-1 | 1 | 0.960775 | 0.039225 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tim's card is shown to Julia. Fred's card is shown to Tim. It is publicly announced that someone picked a red card. It is publicly announced that Earl picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] Agentb knows that (Agenta knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] 0 | Earl can now know that Julia can know that Julia picked a red card. | explicit | 1 | 4 | not_entailment | [
"Julia",
"Earl",
"Tim",
"Fred"
] | 48,520 | explicit-0 | 0 | 0.983065 | 0.016935 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dillon's card is shown to Marva. Marva's card is shown to Ruthie. Katie's card is shown to Dillon. Marva's card is shown to Katie. Ruthie's card is shown to Katie. It is publicly announced that someone picked a red card. It is publicly announced that Ruthie picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:4 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! 2 ] Agenta knows that (Agentd knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:4 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! 2 ] 0 | Marva can now know that Katie can know that nobody picked a red card. | explicit | 1 | 4 | not_entailment | [
"Marva",
"Ruthie",
"Dillon",
"Katie"
] | 33,329 | explicit-0 | 0 | 0.998982 | 0.001018 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barbara does not know whether Steven is thirsty. It is publicly announced that Donald 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 4) ] [ ! 2 ] Agentd knows that (Agentc knows that 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 4) ] [ ! 2 ] 0 | Steven can now know that Barbara can know that Steven is thirsty. | internal | 1 | 4 | not_entailment | [
"Chelsea",
"Donald",
"Barbara",
"Steven"
] | 61,038 | internal-0 | 0 | 0.959434 | 0.040566 |
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) ] Agenta knows that (Agentc 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 | Elizabeth can now know that Nancy can know that someone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Elizabeth",
"Margaret",
"Nancy",
"Bobby"
] | 12,274 | forehead_mirror-1 | 1 | 0.999274 | 0.000726 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marion's card is shown to Marion. Marjorie's card is shown to Marjorie. It is publicly announced that someone picked a red card. It is publicly announced that Marion knows whether or not nobody picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] (Agenta knows whether (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] 0 | Marion can now know whether someone picked a red card. | explicit | 0 | 2 | entailment | [
"Marion",
"Marjorie"
] | 55,800 | explicit-1 | 1 | 0.999423 | 0.000577 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to John. John's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that Christopher does not know whether Christopher picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that John knows whether or not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether (1&2)) ] Agentb knows whether (Agenta knows whether (1&2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether (1&2)) ] 0 | Christopher can now know whether John can know whether or not everyone picked a red card. | explicit | 1 | 2 | entailment | [
"John",
"Christopher"
] | 3,566 | explicit-1 | 1 | 0.994724 | 0.005276 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Nettie 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) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentc 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 | Nettie can now know that Mary's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Mary",
"Trisha",
"Nettie",
"Jesse"
] | 33,887 | forehead-0 | 0 | 0.997755 | 0.002245 |