premise
stringlengths 104
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| smcdel_problem
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stringlengths 37
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int64 0
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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 Janette does not know whether Anne is thirsty. It is publicly announced that Judy 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) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (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 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Janette can now know that Jane is thirsty. | internal | 0 | 4 | not_entailment | [
"Anne",
"Judy",
"Janette",
"Jane"
] | 19,201 | internal-0 | 0 | 0.977596 | 0.022404 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). George's card is shown to Cecil. Richard's card is shown to Richard. Nelson's card is shown to George. Cecil's card is shown to George. Richard's card is shown to George. George's card is shown to George. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card. It is publicly announced that everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (1&2&3&4) ] (Agentb knows that 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (1&2&3&4) ] 0 | Cecil can now know that Richard picked a red card. | explicit | 0 | 4 | entailment | [
"Nelson",
"Cecil",
"Richard",
"George"
] | 59,445 | explicit-1 | 1 | 0.992682 | 0.007318 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tiffany's card is shown to Tiffany. Tiffany's card is shown to Jonathan. Richard's card is shown to Jonathan. Richard's card is shown to Richard. Jason'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:1 Agentb:1,3 Agentc:3,4 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:1 Agentb:1,3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] 0 | Richard can now know that Jonathan can know that someone picked a red card. | explicit | 1 | 4 | entailment | [
"Tiffany",
"Jonathan",
"Richard",
"Jason"
] | 58,237 | explicit-1 | 1 | 0.999394 | 0.000606 |
There are four 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 1,2,3,4 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)) ] Agenta knows that (Agentb knows that 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) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Rafaela can now know that Stephanie can know that Sonia's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Rafaela",
"Stephanie",
"Sonia",
"Tim"
] | 8,817 | forehead-0 | 1 | 0.578944 | 1.578944 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ramon's card is shown to William. Juan's card is shown to William. Juan's card is shown to Ramon. William's card is shown to Carmella. Juan's card is shown to Juan. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:4 Agentc:1 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agentb knows that 1) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:4 Agentc:1 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Ramon can now know that William picked a red card. | explicit | 0 | 4 | not_entailment | [
"William",
"Ramon",
"Carmella",
"Juan"
] | 43,750 | explicit-0 | 0 | 0.998134 | 0.001866 |
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 Ruby 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 (Agentc 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 | Roy can now know whether Richard can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Roy",
"Ruby",
"Richard",
"Jerry"
] | 23,820 | forehead_mirror-1 | 1 | 0.999411 | 0.000589 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Deborah is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] (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) ] [ ! 2 ] 0 | Deborah can now know that nobody is thirsty. | internal | 0 | 3 | not_entailment | [
"Christina",
"Deborah",
"Sharon"
] | 40,146 | internal-0 | 0 | 0.998977 | 0.001023 |
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 Ashley knows whether Roger's forehead is muddy. It is publicly announced that Roger's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! 2 ] (Agentb 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 | Roger can now know whether or not everyone's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Ashley",
"Roger"
] | 696 | forehead_mirror-1 | 1 | 0.99931 | 0.00069 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Shannon does not know whether Jimmy is thirsty. It is publicly announced that Shannon does not know whether or not everyone is thirsty. It is publicly announced that Shannon does not know whether Jimmy is thirsty. It is publicly announced that Jimmy knows whether someone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentb knows whether (1|2)) ] Agentb knows whether (Agenta knows whether (~(1|2))) | 4 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentb knows whether (1|2)) ] 0 | Jimmy can now know whether Shannon can know whether or not nobody is thirsty. | internal | 1 | 2 | entailment | [
"Shannon",
"Jimmy"
] | 52,182 | internal-1 | 1 | 0.999471 | 0.000529 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (Agentd knows 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 | Robert can now know that Justin's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Justin",
"Estella",
"Cathy",
"Robert"
] | 46,642 | forehead-0 | 0 | 0.989056 | 0.010944 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Monica's card is shown to Mattie. Catherine's card is shown to Catherine. It is publicly announced that someone picked a red card. It is publicly announced that Monica does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows that (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Mattie can now know that someone picked a red card. | explicit | 0 | 3 | entailment | [
"Monica",
"Mattie",
"Catherine"
] | 22,238 | explicit-1 | 1 | 0.999461 | 0.000539 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Lou does not know whether Lou's forehead is muddy. It is publicly announced that Richard 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) ] [ ! ~(Agentd knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agenta knows whether (Agentd knows that 1) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Ellen can now know whether Lou can know that Ellen's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Ellen",
"Elisha",
"Richard",
"Lou"
] | 39,776 | forehead-1 | 1 | 0.752089 | 0.247911 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Betty's card is shown to Myrtle. Victor's card is shown to Nathaniel. Myrtle's card is shown to Betty. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:2 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows that 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:2 VALID? [ ! (1|2|3|4) ] 0 | Victor can now know whether Nathaniel can know that Myrtle picked a red card. | explicit | 1 | 4 | not_entailment | [
"Victor",
"Myrtle",
"Nathaniel",
"Betty"
] | 61,898 | explicit-0 | 1 | 0.970449 | 1.970449 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Roderick is thirsty. It is publicly announced that Roderick does not know whether Ernest is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] [ ! ~(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 ] [ ! ~(Agenta knows whether 2) ] 0 | Ernest can now know whether Roderick can know whether someone is thirsty. | internal | 1 | 2 | entailment | [
"Roderick",
"Ernest"
] | 3,231 | internal-1 | 1 | 0.999472 | 0.000528 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Billy does not know whether or not everyone is thirsty. It is publicly announced that Jordan does not know whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentb knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Jordan can now know that Stanley is thirsty. | internal | 0 | 3 | not_entailment | [
"Stanley",
"Jordan",
"Billy"
] | 12,762 | internal-0 | 0 | 0.990441 | 0.009559 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eusebio's card is shown to Robert. Jason's card is shown to Robert. Robert's card is shown to Eusebio. Eusebio's card is shown to Jason. Jason's card is shown to Jason. It is publicly announced that someone picked a red card. It is publicly announced that Jason picked a red card. It is publicly announced that Robert does not know whether or not everyone picked a red card. It is publicly announced that Robert knows whether or not nobody picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agenta knows whether (~(1|2|3))) ] Agentb knows that (Agenta knows that (~(1|2|3))) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Eusebio can now know that Robert can know that nobody picked a red card. | explicit | 1 | 3 | not_entailment | [
"Robert",
"Eusebio",
"Jason"
] | 62,356 | explicit-0 | 0 | 0.998721 | 0.001279 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Judith does not know whether Bruce is thirsty. It is publicly announced that Bruce is not thirsty. It is publicly announced that Judith is not 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) ] [ ! ~(1) ] [ ! ~(2) ] Agentc knows whether (Agenta knows that (~(1|2|3|4))) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(1) ] [ ! ~(2) ] 0 | Terri can now know whether Bruce can know that nobody is thirsty. | internal | 1 | 4 | entailment | [
"Bruce",
"Judith",
"Terri",
"Michael"
] | 18,223 | internal-1 | 1 | 0.999358 | 0.000642 |
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 Robin's forehead is not muddy. It is publicly announced that Lula'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) ] [ ! ~(2) ] Agentb knows that (Agenta 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) ] [ ! ~(3) ] [ ! ~(2) ] 0 | Lula can now know that Louis can know that Annette's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Louis",
"Lula",
"Robin",
"Annette"
] | 16,765 | forehead_mirror-0 | 0 | 0.997017 | 0.002983 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rosemarie is not thirsty. It is publicly announced that Rosemarie does not know whether Juana is thirsty. It is publicly announced that Jesus knows whether Jesus is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] Agentc knows whether (Agentd knows that (~(1|2|3|4))) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] 0 | Jesus can now know whether John can know that nobody is thirsty. | internal | 1 | 4 | entailment | [
"Rosemarie",
"Juana",
"Jesus",
"John"
] | 32,104 | internal-1 | 1 | 0.999366 | 0.000634 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Bobby's card is shown to Debbie. Bobby's card is shown to Marie. Marie's card is shown to Bobby. Bobby's card is shown to Bobby. It is publicly announced that someone picked a red card. It is publicly announced that Marie does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Bobby can now know whether Bobby picked a red card. | explicit | 0 | 3 | entailment | [
"Debbie",
"Marie",
"Bobby"
] | 25,907 | explicit-1 | 1 | 0.889287 | 0.110713 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ada does not know whether or not everyone is thirsty. It is publicly announced that Ada does not know whether or not everyone is thirsty. It is publicly announced that Ada does not know whether or not everyone is thirsty. It is publicly announced that Ada does not know whether Laura is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] Agentb knows that (Agenta knows that (1|2)) | 4 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] 0 | Laura can now know that Ada can know that someone is thirsty. | internal | 1 | 2 | entailment | [
"Ada",
"Laura"
] | 24,252 | internal-1 | 1 | 0.999477 | 0.000523 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Leonard's card is shown to Mark. Leonard's card is shown to Leonard. 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) ] (Agentb knows whether 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 VALID? [ ! (1|2|3|4) ] 0 | Gladys can now know whether Leonard picked a red card. | explicit | 0 | 4 | entailment | [
"Mark",
"Gladys",
"Crystal",
"Leonard"
] | 35,180 | explicit-1 | 1 | 0.908719 | 0.091281 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Geoffrey knows whether or not nobody is thirsty. 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) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! (1|2|3) ] (Agenta knows whether 2) | 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))) ] [ ! (1|2|3) ] 0 | Geoffrey can now know whether Jeffrey is thirsty. | internal | 0 | 3 | not_entailment | [
"Geoffrey",
"Jeffrey",
"David"
] | 19,466 | internal-0 | 0 | 0.997443 | 0.002557 |
There are three 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 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] (Agentb knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Emilio can now know that Emilio is thirsty. | internal | 0 | 3 | entailment | [
"Jose",
"Emilio",
"Lynn"
] | 39,933 | internal-1 | 1 | 0.992796 | 0.007204 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lorenzo's card is shown to Danielle. Danielle's card is shown to Sharon. Sharon's card is shown to Sharon. It is publicly announced that someone picked a red card. It is publicly announced that Lorenzo does not know whether Carolyn picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] (Agentb knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0 | Lorenzo can now know that Carolyn picked a red card. | explicit | 0 | 4 | not_entailment | [
"Danielle",
"Lorenzo",
"Carolyn",
"Sharon"
] | 8,017 | explicit-0 | 0 | 0.997903 | 0.002097 |
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 Mark. Miguel's card is shown to Mark. Jennifer's card is shown to Jennifer. Mark's card is shown to Victor. Miguel's card is shown to Victor. It is publicly announced that someone picked a red card. It is publicly announced that Mark does not know whether or not everyone picked a red card. It is publicly announced that Miguel does not know whether Victor picked a red card. It is publicly announced that Miguel does not know whether Victor picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentc knows whether 4) ] [ ! (~(1&2&3&4)) ] Agentb knows that (Agentc knows whether 4) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentc knows whether 4) ] [ ! (~(1&2&3&4)) ] 0 | Jennifer can now know that Miguel can know whether Victor picked a red card. | explicit | 1 | 4 | not_entailment | [
"Mark",
"Jennifer",
"Miguel",
"Victor"
] | 55,187 | explicit-0 | 1 | 0.534026 | 1.534026 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Francis's card is shown to Wayne. Norma's card is shown to Wayne. Adam's card is shown to Adam. Norma's card is shown to Adam. Wayne's card is shown to Francis. Adam's card is shown to Norma. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agentc knows that 1) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] 0 | Norma can now know that Francis can know that Wayne picked a red card. | explicit | 1 | 4 | not_entailment | [
"Wayne",
"Adam",
"Francis",
"Norma"
] | 8,194 | explicit-0 | 0 | 0.997861 | 0.002139 |
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 Sharon'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) ] (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 3) ] 0 | Sharon can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Richard",
"Robert",
"Sharon"
] | 5,756 | forehead_mirror-0 | 0 | 0.998995 | 0.001005 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gary does not know whether Juan is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Charles is thirsty. It is publicly announced that Charles 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) ] [ ! (1&2&3&4) ] [ ! 1 ] [ ! 1 ] (Agentd knows that 1) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! (1&2&3&4) ] [ ! 1 ] [ ! 1 ] 0 | Gary can now know that Charles is thirsty. | internal | 0 | 4 | entailment | [
"Charles",
"Juan",
"Kayla",
"Gary"
] | 30,711 | internal-1 | 1 | 0.997128 | 0.002872 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). June's card is shown to June. Mary's card is shown to June. June's card is shown to Mary. Mary's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Mary picked a black card. It is publicly announced that June knows whether or not nobody picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2))) ] Agenta knows whether (Agentb knows whether (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2))) ] 0 | June can now know whether Mary can know whether or not everyone picked a red card. | explicit | 1 | 2 | entailment | [
"June",
"Mary"
] | 50,465 | explicit-1 | 1 | 0.946474 | 0.053526 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Thelma's card is shown to Thelma. Kristina's card is shown to Thelma. Kristina's card is shown to Kristina. Thelma's card is shown to Antonio. Antonio's card is shown to Antonio. Kristina's card is shown to Carlos. Carlos's card is shown to Carlos. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Kristina picked a red card. It is publicly announced that Kristina knows whether or not nobody picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,3 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! 2 ] [ ! (Agentb knows whether (~(1|2|3|4))) ] Agenta knows that (Agentd knows whether (1|2|3|4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,3 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! 2 ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0 | Thelma can now know that Carlos can know whether someone picked a red card. | explicit | 1 | 4 | entailment | [
"Thelma",
"Kristina",
"Antonio",
"Carlos"
] | 19,790 | 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 Jessica knows whether someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] (Agentb knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] 0 | Jessica can now know whether Jessica's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Matthew",
"Jessica"
] | 24,033 | forehead_mirror-1 | 1 | 0.999415 | 0.000585 |
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 Modesta knows whether Jason'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) ] (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) ] 0 | Jason can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Jason",
"Modesta",
"Melissa"
] | 39,388 | forehead_mirror-0 | 0 | 0.998993 | 0.001007 |
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. 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) ] [ ! (~(1&2&3&4)) ] Agentd knows that (Agentb knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0 | Teodoro can now know that Candi can know whether Teodoro's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Douglas",
"Candi",
"Carlos",
"Teodoro"
] | 48,620 | forehead_mirror-1 | 1 | 0.999286 | 0.000714 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George knows whether or not nobody is thirsty. It is publicly announced that Garret does not know whether George is thirsty. It is publicly announced that George 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 1) ] [ ! (Agenta knows whether (1&2&3&4)) ] (Agentc 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) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] [ ! ~(Agentd knows whether 1) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Richard can now know that Garret is thirsty. | internal | 0 | 4 | not_entailment | [
"George",
"Norma",
"Richard",
"Garret"
] | 34,330 | internal-0 | 0 | 0.990606 | 0.009394 |
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 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)) ] (Agenta 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) ] [ ! (Agentc knows whether (1|2|3)) ] 0 | David can now know whether or not nobody's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"David",
"Mark",
"Bonnie"
] | 138 | forehead_mirror-1 | 1 | 0.999199 | 0.000801 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Angela's card is shown to Mark. Mark's card is shown to Jose. Jose's card is shown to Jose. Mark's card is shown to Angela. Jose's card is shown to Ruth. Ruth's card is shown to Ruth. It is publicly announced that someone picked a red card. It is publicly announced that Ruth does not know whether Angela picked a red card. It is publicly announced that Mark knows whether Angela picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agenta knows whether 3) ] Agentd knows that (Agenta knows whether (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agenta knows whether 3) ] 0 | Ruth can now know that Mark can know whether or not everyone picked a red card. | explicit | 1 | 4 | not_entailment | [
"Mark",
"Jose",
"Angela",
"Ruth"
] | 66,206 | explicit-0 | 0 | 0.93146 | 0.06854 |
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 whether (Agentc knows whether (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Doris can now know whether Damian can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Doris",
"Charles",
"Damian"
] | 670 | forehead_mirror-1 | 1 | 0.999019 | 0.000981 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charles's card is shown to Charles. Stanley's card is shown to Eugenio. It is publicly announced that someone picked a red card. It is publicly announced that Charles does not know whether Eugenio picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] (Agenta knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0 | Stanley can now know that Charles picked a red card. | explicit | 0 | 3 | not_entailment | [
"Stanley",
"Charles",
"Eugenio"
] | 45,848 | explicit-0 | 0 | 0.992199 | 0.007801 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Manuel's card is shown to Michelle. Michelle's card is shown to Manuel. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] 0 | Charlotte can now know whether Michelle can know whether Manuel picked a red card. | explicit | 1 | 3 | entailment | [
"Michelle",
"Charlotte",
"Manuel"
] | 7,453 | explicit-1 | 1 | 0.998835 | 0.001165 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Raymond's card is shown to Raymond. Raymond's card is shown to Jonathan. It is publicly announced that someone picked a red card. It is publicly announced that Jonathan knows whether someone picked a red card. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (1|2) ] (Agenta knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (1|2) ] 0 | Raymond can now know that everyone picked a red card. | explicit | 0 | 2 | not_entailment | [
"Raymond",
"Jonathan"
] | 35,422 | explicit-0 | 0 | 0.99894 | 0.00106 |
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 Patty 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 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) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Doreen can now know that Patty can know that someone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Patty",
"Doreen",
"Lloyd"
] | 23,608 | forehead_mirror-1 | 1 | 0.999331 | 0.000669 |
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 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 whether (Agentc knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0 | Michaele can now know whether Gerald can know whether David's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Michele",
"Michaele",
"Gerald",
"David"
] | 25,330 | forehead_mirror-1 | 1 | 0.999435 | 0.000565 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Paul knows whether Travis's forehead is muddy. It is publicly announced that Paul does not know whether or not everyone's forehead is muddy. It is publicly announced that Travis knows whether or not everyone's forehead is muddy. It is publicly announced that Travis knows whether Paul's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 1) ] (Agentb knows that (~(1|2))) | 4 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 1) ] 0 | Travis can now know that nobody's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Paul",
"Travis"
] | 35,570 | forehead-0 | 0 | 0.999088 | 0.000912 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Fred does not know whether Fred's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] Agenta knows whether (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) ] [ ! ~(Agentc knows whether 3) ] 0 | Rodney can now know whether Ellen can know whether Ellen's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Rodney",
"Ellen",
"Fred"
] | 53,631 | forehead-0 | 0 | 0.987565 | 0.012435 |
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 someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (1|2|3) ] (Agentb 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) ] [ ! (~(1&2&3)) ] [ ! (1|2|3) ] 0 | Kenneth can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Oscar",
"Kenneth",
"Ann"
] | 52,978 | forehead_mirror-0 | 0 | 0.988935 | 0.011065 |
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) ] Agentb knows that (Agenta knows that 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 | Doreen can now know that Philip can know that Jeremy's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Philip",
"Doreen",
"Dianne",
"Jeremy"
] | 34,640 | forehead_mirror-0 | 0 | 0.997688 | 0.002312 |
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 Michelle does not know whether Raymond 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 2) ] Agentb knows whether (Agentc knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 2) ] 0 | Raymond can now know whether Michelle can know that Michelle is thirsty. | internal | 1 | 3 | not_entailment | [
"Curtis",
"Raymond",
"Michelle"
] | 37,311 | internal-0 | 1 | 0.981456 | 1.981456 |
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 Karen knows whether or not nobody's forehead is muddy. It is publicly announced that Donald's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! ~(1) ] Agenta knows that (Agentb knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! ~(1) ] 0 | Donald can now know that Karen can know whether someone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Donald",
"Karen"
] | 54,408 | forehead_mirror-1 | 1 | 0.999433 | 0.000567 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Yaeko's card is shown to Yaeko. Sandra's card is shown to Eunice. Eunice's card is shown to Sandra. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2 VALID? [ ! (1|2|3|4) ] (Agentc knows that (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2 VALID? [ ! (1|2|3|4) ] 0 | Eldridge can now know that nobody picked a red card. | explicit | 0 | 4 | not_entailment | [
"Yaeko",
"Eunice",
"Eldridge",
"Sandra"
] | 61,913 | explicit-0 | 0 | 0.998841 | 0.001159 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Arlene's card is shown to Michael. Timothy's card is shown to Michael. Timothy's card is shown to Timothy. It is publicly announced that someone picked a red card. It is publicly announced that Arlene does not know whether Arlene picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] Agentb knows that (Agenta knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] 0 | Arlene can now know that Michael can know whether Timothy picked a red card. | explicit | 1 | 3 | entailment | [
"Michael",
"Arlene",
"Timothy"
] | 42,025 | explicit-1 | 0 | 0.592706 | 1.592706 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joanne's card is shown to Joanne. Carlos's card is shown to Paulene. Kelly's card is shown to Kelly. Carlos's card is shown to Carlos. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Paulene can now know whether Carlos picked a red card. | explicit | 0 | 4 | entailment | [
"Joanne",
"Paulene",
"Kelly",
"Carlos"
] | 13,831 | explicit-1 | 1 | 0.920931 | 0.079069 |
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 Randall. Randall's card is shown to Dana. Dana's card is shown to Dana. William's card is shown to William. Randall's card is shown to Dennis. William's card is shown to Dennis. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:3 Agentd:1,3 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:3 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0 | Dana can now know whether Dana picked a red card. | explicit | 0 | 4 | entailment | [
"Randall",
"Dana",
"William",
"Dennis"
] | 17,531 | explicit-1 | 0 | 0.85936 | 1.85936 |
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 does not know whether Robert's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] (Agenta knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] 0 | Traci can now know whether Robert's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Traci",
"Robert"
] | 24,983 | forehead-1 | 1 | 0.995161 | 0.004839 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Raymond is not thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] (Agentd knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0 | Kenneth can now know that Kenneth is thirsty. | internal | 0 | 4 | not_entailment | [
"Stephanie",
"Raymond",
"Joseph",
"Kenneth"
] | 43,787 | internal-0 | 0 | 0.987698 | 0.012302 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James is not thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(2) ] Agentb knows that (Agenta knows that (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(2) ] 0 | James can now know that Barry can know that someone is thirsty. | internal | 1 | 2 | entailment | [
"Barry",
"James"
] | 61,053 | internal-1 | 1 | 0.99952 | 0.00048 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that David's forehead is not muddy. It is publicly announced that Tabetha 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) ] [ ! ~(2) ] [ ! (Agenta knows whether (1|2|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) ] [ ! ~(2) ] [ ! (Agenta knows whether (1|2|3)) ] 0 | Tabetha can now know that someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Tabetha",
"David",
"John"
] | 36,338 | forehead-1 | 1 | 0.999475 | 0.000525 |
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 John knows whether Maria's forehead is muddy. It is publicly announced that Maria'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 that (Agentb knows that (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 | John can now know that Maria can know that everyone's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"John",
"Maria"
] | 36,827 | forehead_mirror-0 | 0 | 0.99803 | 0.00197 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Harold knows whether someone's forehead is muddy. It is publicly announced that Krysta does not know whether Krysta's forehead is muddy. It is publicly announced that Sasha does not know whether or not everyone's forehead is muddy. It is publicly announced that Harold knows whether Harold'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)) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! (Agentb knows whether 2) ] (Agentc knows that 4) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! (Agentb knows whether 2) ] 0 | George can now know that Sasha's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Krysta",
"Harold",
"George",
"Sasha"
] | 47,681 | forehead-0 | 0 | 0.534938 | 0.465062 |
There are three 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 Jennifer knows whether Jennifer is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] (Agentc knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] 0 | Carla can now know that Carla is thirsty. | internal | 0 | 3 | not_entailment | [
"Jennifer",
"Bessie",
"Carla"
] | 56,256 | internal-0 | 0 | 0.924646 | 0.075354 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Shirley 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 that (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) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Alonzo can now know that Shirley can know whether someone is thirsty. | internal | 1 | 4 | entailment | [
"Betty",
"Shirley",
"Heath",
"Alonzo"
] | 63,097 | internal-1 | 1 | 0.999358 | 0.000642 |
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 Erwin does not know whether Clara 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 2) ] Agentc knows whether (Agenta knows that (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 2) ] 0 | Erwin can now know whether Martha can know that someone is thirsty. | internal | 1 | 3 | entailment | [
"Martha",
"Clara",
"Erwin"
] | 45,054 | internal-1 | 1 | 0.999405 | 0.000595 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Javier's forehead is muddy. It is publicly announced that Javier knows whether Camille'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 ] [ ! (Agenta knows whether 2) ] Agentb knows that (Agenta 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 ] [ ! (Agenta knows whether 2) ] 0 | Camille can now know that Javier can know whether or not everyone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Javier",
"Camille",
"Karla"
] | 22,805 | forehead-1 | 1 | 0.55188 | 0.44812 |
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 Carl knows whether Carl's forehead is muddy. It is publicly announced that Christopher'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) ] [ ! 3 ] Agentb knows that (Agenta knows whether (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! 3 ] 0 | Clyde can now know that Carl can know whether or not nobody's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Carl",
"Clyde",
"Christopher",
"Lou"
] | 43,290 | forehead_mirror-1 | 1 | 0.999323 | 0.000677 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jane knows whether Jane'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 3) ] Agentc knows that (Agentd knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] 0 | Jane can now know that Frances can know that David's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"David",
"Michael",
"Jane",
"Frances"
] | 3,609 | forehead_mirror-0 | 0 | 0.997948 | 0.002052 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Angelica knows whether or not nobody is thirsty. It is publicly announced that Angelica does not know whether Peter 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))) ] [ ! ~(Agentd knows whether 3) ] Agentc knows whether (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) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] [ ! ~(Agentd knows whether 3) ] 0 | Peter can now know whether Jennifer can know that someone is thirsty. | internal | 1 | 4 | entailment | [
"Tony",
"Jennifer",
"Peter",
"Angelica"
] | 6,181 | internal-1 | 1 | 0.999427 | 0.000573 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Andrea 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))) ] Agentc knows whether (Agentb knows that (1|2|3|4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0 | Diana can now know whether Andrea can know that someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Paul",
"Andrea",
"Diana",
"Gerald"
] | 10,008 | forehead-1 | 1 | 0.999413 | 0.000587 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Pauline does not know whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentb knows that (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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Jack can now know that Reynaldo can know that Pauline's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Pauline",
"Jack",
"Reynaldo",
"Dana"
] | 27 | forehead-0 | 1 | 0.817588 | 1.817588 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Julie does not know whether Julie's forehead is muddy. It is publicly announced that Harold 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) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] (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) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0 | Pam can now know whether or not everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Julie",
"Pam",
"Harold",
"Jeremiah"
] | 44,336 | forehead-0 | 0 | 0.970864 | 0.029136 |
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 James knows whether Judy's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentb knows whether 1) ] (Agenta 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) ] [ ! (~(1&2&3)) ] [ ! (Agentb knows whether 1) ] 0 | Judy can now know that Judy's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Judy",
"James",
"Sally"
] | 66,348 | forehead_mirror-0 | 0 | 0.994842 | 0.005158 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John knows whether 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)) ] (Agenta knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] 0 | Catherine can now know that nobody is thirsty. | internal | 0 | 3 | not_entailment | [
"Catherine",
"Jessie",
"John"
] | 22,274 | internal-0 | 0 | 0.998646 | 0.001354 |
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 Vernon's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] Agentc knows whether (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) ] [ ! 3 ] 0 | Vernon can now know whether Glenn can know that someone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Celeste",
"Glenn",
"Vernon"
] | 37,671 | forehead_mirror-1 | 1 | 0.999453 | 0.000547 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jennifer knows whether Juanita's forehead is muddy. It is publicly announced that Jennifer's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 3) ] [ ! 2 ] Agentb knows whether (Agentc 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) ] [ ! (Agentb knows whether 3) ] [ ! 2 ] 0 | Jennifer can now know whether Juanita can know that nobody's forehead is muddy. | forehead | 1 | 3 | entailment | [
"America",
"Jennifer",
"Juanita"
] | 24,685 | forehead-1 | 1 | 0.999337 | 0.000663 |
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 Melissa knows whether Nell'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) ] Agentc knows that (Agentb knows that 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) ] [ ! (Agentb knows whether 3) ] 0 | Nell can now know that Melissa can know that Beverly's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Beverly",
"Melissa",
"Nell"
] | 30,060 | forehead_mirror-0 | 0 | 0.998175 | 0.001825 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paul is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] (Agentb knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] 0 | Timothy can now know whether Kimberly is thirsty. | internal | 0 | 3 | not_entailment | [
"Paul",
"Timothy",
"Kimberly"
] | 15,773 | internal-0 | 0 | 0.99719 | 0.00281 |
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 Jane knows whether Elyse's forehead is muddy. It is publicly announced that Elyse does not know whether Elyse'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 3) ] [ ! ~(Agentc knows whether 3) ] Agentb knows that (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) ] [ ! (1|2|3) ] [ ! (Agentb knows whether 3) ] [ ! ~(Agentc knows whether 3) ] 0 | Jane can now know that Elyse can know that someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Frank",
"Jane",
"Elyse"
] | 2,076 | forehead-1 | 1 | 0.999455 | 0.000545 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Wendy does not know whether Beulah 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 whether (Agentc 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) ] [ ! ~(Agenta knows whether 3) ] 0 | Connie can now know whether Beulah can know that Beulah is thirsty. | internal | 1 | 4 | not_entailment | [
"Wendy",
"Connie",
"Beulah",
"Joseph"
] | 48,140 | internal-0 | 0 | 0.543849 | 0.456151 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Thelma knows whether Timothy'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 2) ] Agentb knows that (Agentc knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 2) ] 0 | Timothy can now know that Thelma can know that nobody's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Sharon",
"Timothy",
"Thelma",
"Raymond"
] | 54,993 | forehead-0 | 0 | 0.999002 | 0.000998 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gordon's card is shown to Gordon. Lisa's card is shown to Marianne. Marianne's card is shown to Lisa. Lisa's card is shown to Lisa. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] (Agentb knows that 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] 0 | Gordon can now know that Lisa picked a red card. | explicit | 0 | 4 | not_entailment | [
"Michael",
"Gordon",
"Marianne",
"Lisa"
] | 20,289 | explicit-0 | 0 | 0.994306 | 0.005694 |
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 Michael knows whether Betty's forehead is muddy. It is publicly announced that John's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 1) ] [ ! 3 ] (Agenta 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 1) ] [ ! 3 ] 0 | Betty can now know that Michael's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Betty",
"Rodney",
"John",
"Michael"
] | 53,885 | forehead_mirror-0 | 0 | 0.994364 | 0.005636 |
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 Florence'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) ] [ ! 2 ] [ ! (1&2&3) ] Agentb knows whether (Agentc knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! (1&2&3) ] 0 | Florence can now know whether Julie can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Michael",
"Florence",
"Julie"
] | 32,569 | forehead_mirror-1 | 1 | 0.999468 | 0.000532 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ashley's card is shown to Derrick. Michael's card is shown to Derrick. Ashley's card is shown to Ashley. Michael's card is shown to Ashley. Derrick's card is shown to Michael. Ashley's card is shown to Michael. Michael's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that Michael picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] (Agenta knows whether (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] 0 | Derrick can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"Derrick",
"Ashley",
"Michael"
] | 53,106 | explicit-1 | 1 | 0.999435 | 0.000565 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sandra is not thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(2) ] Agentb knows whether (Agenta knows whether (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(2) ] 0 | Sandra can now know whether Heather can know whether someone is thirsty. | internal | 1 | 2 | entailment | [
"Heather",
"Sandra"
] | 50,696 | internal-1 | 1 | 0.999498 | 0.000502 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Thomas does not know whether Thomas's forehead is muddy. It is publicly announced that Thomas does not know whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether (1&2)) ] (Agenta knows whether (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Mary can now know whether or not everyone's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Mary",
"Thomas"
] | 21,385 | forehead-1 | 1 | 0.743377 | 0.256623 |
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 Linda 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)) ] Agentc knows that (Agentb 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) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0 | Mark can now know that Linda can know that Mark's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Eva",
"Linda",
"Mark",
"Rebecca"
] | 20,083 | forehead_mirror-0 | 0 | 0.997855 | 0.002145 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Stacy's card is shown to Stacy. Mark's card is shown to Stacy. Stacy's card is shown to Mark. Mark's card is shown to Mark. It is publicly announced that someone picked a red card. It is publicly announced that Stacy knows whether Mark picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] Agentb knows that (Agenta knows that (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0 | Mark can now know that Stacy can know that someone picked a red card. | explicit | 1 | 2 | entailment | [
"Stacy",
"Mark"
] | 13,026 | explicit-1 | 1 | 0.99944 | 0.00056 |
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. It is publicly announced that Clara knows whether Clara's forehead is muddy. It is publicly announced that Kimberly knows whether Clara's forehead is muddy. It is publicly announced that Clara knows whether Mariam'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) ] [ ! (Agentc knows whether 3) ] [ ! (Agenta knows whether 3) ] [ ! (Agentc knows whether 2) ] Agentd knows that (Agentb knows that 1) | 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) ] [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] [ ! (Agenta knows whether 3) ] [ ! (Agentc knows whether 2) ] 0 | Thomas can now know that Mariam can know that Kimberly's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Kimberly",
"Mariam",
"Clara",
"Thomas"
] | 3,205 | forehead_mirror-0 | 0 | 0.997945 | 0.002055 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Wallace's card is shown to Micheal. John's card is shown to John. Wallace's card is shown to John. Wallace's card is shown to Wallace. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentc knows whether 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Micheal can now know whether Wallace can know whether John picked a red card. | explicit | 1 | 3 | entailment | [
"Micheal",
"John",
"Wallace"
] | 65,991 | explicit-1 | 1 | 0.998709 | 0.001291 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Erline's card is shown to John. Carolyn's card is shown to Ilene. Erline's card is shown to Ilene. John's card is shown to Carolyn. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Carolyn picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(3) ] Agenta knows whether (Agentb knows that (1&2&3&4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(3) ] 0 | John can now know whether Ilene can know that everyone picked a red card. | explicit | 1 | 4 | entailment | [
"John",
"Ilene",
"Carolyn",
"Erline"
] | 5,287 | explicit-1 | 1 | 0.996482 | 0.003518 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph 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)) ] Agentb knows that (Agentc knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Steven can now know that Margaret can know whether Margaret is thirsty. | internal | 1 | 3 | entailment | [
"Joseph",
"Steven",
"Margaret"
] | 63,852 | internal-1 | 1 | 0.855462 | 0.144538 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] (Agentc knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] 0 | Wendy can now know whether Ethel is thirsty. | internal | 0 | 3 | not_entailment | [
"Ethel",
"James",
"Wendy"
] | 21,611 | internal-0 | 0 | 0.997111 | 0.002889 |
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 William'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) ] [ ! ~(3) ] Agenta knows that (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) ] [ ! ~(3) ] 0 | Fred can now know that Elizabeth can know that everyone's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Fred",
"Elizabeth",
"William"
] | 56,779 | forehead_mirror-0 | 0 | 0.998849 | 0.001151 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Matthew does not know whether Matthew's forehead is muddy. It is publicly announced that Salvador does not know whether Salvador's forehead is muddy. It is publicly announced that Sherill knows whether Sherill's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether 2) ] Agentc knows whether (Agentb knows whether 1) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether 2) ] 0 | Matthew can now know whether Sherill can know whether Salvador's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Salvador",
"Sherill",
"Matthew"
] | 54,323 | forehead-1 | 1 | 0.999302 | 0.000698 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Scott is not thirsty. It is publicly announced that John does not know whether Lorie is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentc knows whether 2) ] Agentb knows that (Agentc knows that (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentc knows whether 2) ] 0 | Lorie can now know that John can know that nobody is thirsty. | internal | 1 | 4 | not_entailment | [
"Shawn",
"Lorie",
"John",
"Scott"
] | 52,059 | internal-0 | 0 | 0.999058 | 0.000942 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ines does not know whether Catherine is thirsty. It is publicly announced that Catherine does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentd knows whether (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) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Anna can now know whether Catherine can know that someone is thirsty. | internal | 1 | 4 | entailment | [
"Ines",
"Catherine",
"Kim",
"Anna"
] | 60,355 | internal-1 | 1 | 0.999495 | 0.000505 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Colleen's forehead is not muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(3) ] Agentb knows 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) ] [ ! ~(3) ] 0 | Mary can now know whether Colleen can know that Mary's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Lois",
"Mary",
"Colleen"
] | 65,131 | forehead-0 | 0 | 0.924391 | 0.075609 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Johnathon does not know whether Johnathon's forehead is muddy. It is publicly announced that James knows whether Johnathon's forehead is muddy. It is publicly announced that James does not know whether James's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agentc knows whether 4) ] [ ! ~(Agentc knows whether 3) ] Agentd knows that (Agentc knows whether 3) | 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 4) ] [ ! (Agentc knows whether 4) ] [ ! ~(Agentc knows whether 3) ] 0 | Johnathon can now know that James can know whether James's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Jessica",
"Mary",
"James",
"Johnathon"
] | 46,724 | forehead-0 | 0 | 0.602132 | 0.397868 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Faye's card is shown to Evelyn. Evelyn's card is shown to Faye. Faye's card is shown to Faye. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] Agenta knows that (Agentb knows that 1) | 0 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] 0 | Evelyn can now know that Faye can know that Evelyn picked a red card. | explicit | 1 | 2 | not_entailment | [
"Evelyn",
"Faye"
] | 63,631 | explicit-0 | 0 | 0.995987 | 0.004013 |
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 James knows whether or not nobody's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (1|2) ] Agentb knows whether (Agenta knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (1|2) ] 0 | James can now know whether Alan can know that Alan's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Alan",
"James"
] | 10,212 | forehead_mirror-1 | 1 | 0.999119 | 0.000881 |
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 Mario knows whether Max'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) ] Agenta knows whether (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) ] [ ! (Agenta knows whether 3) ] 0 | Mario can now know whether Max can know that Max's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Mario",
"James",
"Max"
] | 48,154 | forehead_mirror-1 | 1 | 0.999386 | 0.000614 |