premise
stringlengths 104
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| smcdel_problem
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int64 0
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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 Winnifred's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] Agenta knows whether (Agentb knows whether (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] 0 | Marion can now know whether Winnifred can know whether someone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Marion",
"Winnifred"
] | 66,435 | forehead_mirror-1 | 1 | 0.999779 | 0.000221 |
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 Adam knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] Agenta knows that (Agentb knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] 0 | Adam can now know that Shawn can know whether Adam's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Adam",
"Shawn",
"Alma"
] | 20,844 | forehead_mirror-1 | 1 | 0.999706 | 0.000294 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Laura's card is shown to Laura. Patricia's card is shown to Stanley. Jamie's card is shown to Patricia. It is publicly announced that someone picked a red card. It is publicly announced that Patricia does not know whether Patricia picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] (Agentc knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] 0 | Patricia can now know that Laura picked a red card. | explicit | 0 | 4 | not_entailment | [
"Laura",
"Stanley",
"Patricia",
"Jamie"
] | 9,806 | explicit-0 | 0 | 0.995895 | 0.004105 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jill's card is shown to Mark. Mark's card is shown to Jill. Virginia's card is shown to Virginia. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] (Agentc knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Virginia can now know that Virginia picked a red card. | explicit | 0 | 3 | not_entailment | [
"Mark",
"Jill",
"Virginia"
] | 251 | explicit-0 | 0 | 0.997766 | 0.002234 |
There are three 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 someone's forehead is muddy. It is publicly announced that Julie knows whether Steven's forehead is muddy. It is publicly announced that Julie 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) ] [ ! ~(Agenta knows whether 1) ] [ ! (1|2|3) ] [ ! (Agenta knows whether 3) ] [ ! (Agenta knows whether (~(1|2|3))) ] Agentc knows whether (Agentb knows that 2) | 4 | 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) ] [ ! (1|2|3) ] [ ! (Agenta knows whether 3) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Steven can now know whether Damon can know that Damon's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Julie",
"Damon",
"Steven"
] | 2,704 | forehead-0 | 0 | 0.87398 | 0.12602 |
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 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) ] (Agentb knows whether 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 | Kevin can now know whether Patricia's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Robert",
"Kevin",
"Patricia"
] | 44,323 | forehead_mirror-1 | 1 | 0.999733 | 0.000267 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Carl's forehead is not muddy. It is publicly announced that Elizabeth's forehead is muddy. It is publicly announced that Carl knows whether Carl'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 ] [ ! (Agenta knows whether 1) ] Agenta knows whether (Agentb knows whether (1|2|3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! 2 ] [ ! (Agenta knows whether 1) ] 0 | Carl can now know whether Elizabeth can know whether someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Carl",
"Elizabeth",
"David"
] | 23,029 | forehead-1 | 1 | 0.999776 | 0.000224 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ryan does not know whether Roxanna 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) ] Agentd knows that (Agentc knows whether (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0 | Nicholas can now know that Roxanna can know whether or not nobody is thirsty. | internal | 1 | 4 | entailment | [
"Ryan",
"Isabel",
"Roxanna",
"Nicholas"
] | 65,044 | internal-1 | 1 | 0.999703 | 0.000297 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alfred does not know whether Mary 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) ] (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) ] [ ! (1|2|3|4) ] 0 | Alfred can now know that John is thirsty. | internal | 0 | 4 | not_entailment | [
"Mary",
"Crystal",
"Alfred",
"John"
] | 54,194 | internal-0 | 0 | 0.998232 | 0.001768 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Herbert knows whether or not nobody's forehead is muddy. It is publicly announced that 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))) ] [ ! (1&2&3&4) ] (Agentc knows that 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) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] [ ! (1&2&3&4) ] 0 | Kristy can now know that Kristy's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Herbert",
"Gary",
"Kristy",
"Anthony"
] | 17,049 | forehead-1 | 1 | 0.997279 | 0.002721 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Ashley can now know that Christina can know that someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Christina",
"Ashley",
"Kenneth"
] | 44,195 | forehead-1 | 1 | 0.999756 | 0.000244 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gregory's card is shown to Gregory. Shelby's card is shown to Carol. Robert's card is shown to Carol. Gregory's card is shown to Shelby. Shelby's card is shown to Shelby. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows that (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0 | Gregory can now know that Carol can know that someone picked a red card. | explicit | 1 | 4 | entailment | [
"Gregory",
"Carol",
"Shelby",
"Robert"
] | 64,437 | explicit-1 | 1 | 0.999775 | 0.000225 |
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 Dorothy'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 ] (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) ] [ ! 1 ] 0 | Wesley can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Dorothy",
"Karen",
"Wesley",
"Homer"
] | 59,849 | forehead_mirror-0 | 0 | 0.998312 | 0.001688 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marie does not know whether Margaret is thirsty. It is publicly announced that Roger does not know whether Marie is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] (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) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0 | Roger can now know that everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Margaret",
"Marie",
"Roger"
] | 67,169 | internal-0 | 0 | 0.998597 | 0.001403 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jonell's card is shown to Jonell. Jennifer's card is shown to Lawrence. It is publicly announced that someone picked a red card. It is publicly announced that Jennifer does not know whether Jonell picked a red card. It is publicly announced that Jonell knows whether or not nobody picked a red card. It is publicly announced that Jonell does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows whether (1|2|3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Jennifer can now know whether someone picked a red card. | explicit | 0 | 3 | entailment | [
"Jonell",
"Jennifer",
"Lawrence"
] | 53,240 | explicit-1 | 1 | 0.999772 | 0.000228 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jason does not know whether Teresa is thirsty. It is publicly announced that Jason does not know whether Rachael 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) ] [ ! ~(Agenta knows whether 4) ] Agenta knows whether (Agentb 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) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 4) ] 0 | Jason can now know whether Teresa can know that Rachael is thirsty. | internal | 1 | 4 | entailment | [
"Jason",
"Teresa",
"Michael",
"Rachael"
] | 22,320 | internal-1 | 1 | 0.984298 | 0.015702 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to David. Jane's card is shown to Robert. David's card is shown to Jane. Jane's card is shown to Jane. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] (Agentc knows whether (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0 | Jane can now know whether someone picked a red card. | explicit | 0 | 3 | entailment | [
"David",
"Robert",
"Jane"
] | 64,378 | explicit-1 | 1 | 0.99977 | 0.00023 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agenta knows that 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] 0 | Sophie can now know that Victor can know that Sophie's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Victor",
"Michelle",
"Kimberly",
"Sophie"
] | 3,327 | forehead-0 | 0 | 0.998275 | 0.001725 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mona 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) ] (Agenta knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (1|2) ] 0 | Erin can now know that Erin's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Erin",
"Mona"
] | 58,189 | forehead-0 | 0 | 0.99707 | 0.00293 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Judy's card is shown to Katherine. Katherine's card is shown to Judy. Edna's card is shown to Judy. Katherine's card is shown to Edna. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows whether (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Edna can now know that Katherine can know whether or not nobody picked a red card. | explicit | 1 | 3 | entailment | [
"Katherine",
"Judy",
"Edna"
] | 66,836 | explicit-1 | 1 | 0.999715 | 0.000285 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tyler does not know whether or not everyone is thirsty. It is publicly announced that Fritz does not know whether or not everyone is thirsty. It is publicly announced that Carl knows whether Carl is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentb knows whether 2) ] (Agentb knows that 1) | 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 (1&2&3&4)) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentb knows whether 2) ] 0 | Carl can now know that Alvin is thirsty. | internal | 0 | 4 | not_entailment | [
"Alvin",
"Carl",
"Fritz",
"Tyler"
] | 6,026 | internal-0 | 0 | 0.818842 | 0.181158 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George does not know whether Mae is thirsty. It is publicly announced that Mae does not know whether Janel is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 4) ] Agentd knows whether (Agenta 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) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 4) ] 0 | Janel can now know whether Mae can know that Janel is thirsty. | internal | 1 | 4 | entailment | [
"Mae",
"George",
"Sharon",
"Janel"
] | 27,883 | internal-1 | 1 | 0.97484 | 0.02516 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Yvonne does not know whether Darin is thirsty. It is publicly announced that Li does not know whether Yvonne is thirsty. It is publicly announced that Yvonne does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] (Agentd 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) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] 0 | Gregory can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"Li",
"Yvonne",
"Darin",
"Gregory"
] | 35,302 | internal-1 | 1 | 0.999732 | 0.000268 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jason knows whether someone's forehead is muddy. It is publicly announced that Jason knows whether Lillian's forehead is muddy. It is publicly announced that Lillian'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 (1|2|3)) ] [ ! (Agentc knows whether 1) ] [ ! 1 ] Agentc knows whether (Agenta 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) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (Agentc knows whether 1) ] [ ! 1 ] 0 | Jason can now know whether Lillian can know whether Jason's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Lillian",
"Daniel",
"Jason"
] | 26,124 | forehead-1 | 1 | 0.997357 | 0.002643 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Sachiko is not thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(1) ] (Agenta knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(1) ] 0 | Sachiko can now know that Sachiko is thirsty. | internal | 0 | 2 | not_entailment | [
"Sachiko",
"Debora"
] | 41,705 | internal-0 | 1 | 0.556399 | 1.556399 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] (Agentc knows that (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 | James can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Daniel",
"Jack",
"James"
] | 7,125 | forehead_mirror-1 | 1 | 0.998303 | 0.001697 |
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 Donna'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 ] (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 ] 0 | Donna can now know that David's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Donna",
"Brian",
"David",
"Mary"
] | 42,420 | forehead_mirror-0 | 0 | 0.981925 | 0.018075 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Keisha knows whether Keisha is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] (Agentb knows whether (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0 | Keisha can now know whether or not nobody is thirsty. | internal | 0 | 3 | entailment | [
"Kenneth",
"Keisha",
"John"
] | 55,377 | internal-1 | 1 | 0.999708 | 0.000292 |
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. It is publicly announced that John knows whether or not everyone is thirsty. It is publicly announced that Angela knows whether Christopher 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 whether (1&2&3&4)) ] [ ! (Agentd knows whether 2) ] Agentb knows that (Agentd knows whether 1) | 3 | 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) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 2) ] 0 | Christopher can now know that Angela can know whether John is thirsty. | internal | 1 | 4 | entailment | [
"John",
"Christopher",
"Maurice",
"Angela"
] | 39,731 | internal-1 | 1 | 0.927806 | 0.072194 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Helga knows whether Helga is thirsty. It is publicly announced that Helga does not know whether or not everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentb knows whether (1&2)) ] (Agentb knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Helga can now know that everyone is thirsty. | internal | 0 | 2 | not_entailment | [
"Ingrid",
"Helga"
] | 32,609 | internal-0 | 0 | 0.995778 | 0.004222 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lucas's card is shown to William. William's card is shown to Lucas. Lucas's card is shown to Lucas. Donna's card is shown to Lucas. Lucas's card is shown to Donna. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows that 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] 0 | William can now know whether Lucas can know that William picked a red card. | explicit | 1 | 3 | not_entailment | [
"William",
"Lucas",
"Donna"
] | 29,670 | explicit-0 | 1 | 0.783586 | 1.783586 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Iris does not know whether Madonna is thirsty. It is publicly announced that Iris knows whether Iris is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether 3) ] (Agentb knows whether 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether 3) ] 0 | David can now know whether Madonna is thirsty. | internal | 0 | 3 | not_entailment | [
"Madonna",
"David",
"Iris"
] | 54,097 | internal-0 | 0 | 0.978666 | 0.021334 |
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 or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] Agentc knows that (Agenta 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 (~(1|2|3|4))) ] 0 | Larry can now know that Roy can know that Roy's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Roy",
"Edward",
"Larry",
"Denise"
] | 47,077 | forehead_mirror-0 | 0 | 0.998255 | 0.001745 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that George's forehead is not muddy. It is publicly announced that Scott does not know whether Scott'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) ] [ ! ~(Agentb knows whether 2) ] Agentc knows that (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) ] [ ! ~(1) ] [ ! ~(Agentb knows whether 2) ] 0 | Bonnie can now know that George can know that someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"George",
"Scott",
"Bonnie"
] | 35,647 | forehead-1 | 1 | 0.999782 | 0.000218 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] (Agentc knows that 1) | 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 | Maya can now know that Dwayne's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Dwayne",
"Larry",
"Maya"
] | 45,561 | forehead_mirror-0 | 0 | 0.998635 | 0.001365 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentd knows whether (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] 0 | Harvey can now know that Judy can know whether or not everyone's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Steve",
"Harvey",
"Violet",
"Judy"
] | 55,322 | forehead-0 | 0 | 0.993193 | 0.006807 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to Barbara. Nathan's card is shown to Nathan. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 VALID? [ ! (1|2|3|4) ] (Agenta knows that (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 VALID? [ ! (1|2|3|4) ] 0 | Barbara can now know that someone picked a red card. | explicit | 0 | 4 | entailment | [
"Barbara",
"David",
"Margie",
"Nathan"
] | 7,710 | explicit-1 | 1 | 0.999761 | 0.000239 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Wade knows whether someone's forehead is muddy. It is publicly announced that Wade knows whether someone's forehead is muddy. It is publicly announced that Michael knows whether or not everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] (Agenta knows that (1&2)) | 4 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] 0 | Michael can now know that everyone's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Michael",
"Wade"
] | 23,168 | forehead-0 | 0 | 0.99797 | 0.00203 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George does not know whether Nicole 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) ] Agentd 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) ] [ ! ~(Agentc knows whether 4) ] 0 | Nicole can now know that George can know that everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Robert",
"Marion",
"George",
"Nicole"
] | 55,660 | internal-0 | 0 | 0.998413 | 0.001587 |
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 Aaron knows whether or not everyone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (1&2&3) ] (Agentc knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (1&2&3) ] 0 | Tyrone can now know that Douglas's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Douglas",
"Aaron",
"Tyrone"
] | 13,272 | forehead_mirror-1 | 1 | 0.997043 | 0.002957 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Richard's card is shown to Richard. Blanche's card is shown to Laura. Laura's card is shown to Laura. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 VALID? [ ! (1|2|3) ] (Agentb knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 VALID? [ ! (1|2|3) ] 0 | Blanche can now know that Laura picked a red card. | explicit | 0 | 3 | not_entailment | [
"Richard",
"Blanche",
"Laura"
] | 38,321 | explicit-0 | 0 | 0.998325 | 0.001675 |
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 Jose's forehead is not muddy. It is publicly announced that Carlos knows whether Latasha'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) ] [ ! (Agentb knows whether 1) ] Agenta knows that (Agentc knows whether 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] [ ! (Agentb knows whether 1) ] 0 | Latasha can now know that Jose can know whether Jose's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Latasha",
"Carlos",
"Jose"
] | 12,629 | forehead_mirror-1 | 1 | 0.999643 | 0.000357 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Gerardo knows whether Gerardo's forehead is muddy. It is publicly announced that Gerardo knows 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) ] [ ! (Agenta knows whether (1&2&3&4)) ] (Agenta 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) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Gerardo can now know that Gerardo's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Gerardo",
"Carlton",
"Andres",
"Delfina"
] | 66,961 | forehead-1 | 1 | 0.831266 | 0.168734 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Dennis knows whether Mary's forehead is muddy. It is publicly announced that Dennis does not know whether or not everyone's forehead is muddy. It is publicly announced that Mary knows whether or not everyone's forehead is muddy. It is publicly announced that Mary knows whether Dennis'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 | Mary can now know that everyone's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Dennis",
"Mary"
] | 10,602 | forehead-0 | 0 | 0.993207 | 0.006793 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Peter's card is shown to Mary. Brian's card is shown to Mary. Peter's card is shown to Mignon. Mary's card is shown to Peter. Brian's card is shown to Peter. Mary's card is shown to Brian. Brian's card is shown to Brian. It is publicly announced that someone picked a red card. It is publicly announced that Mignon does not know whether Brian picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 Agentc:1,4 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] (Agentd knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 Agentc:1,4 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0 | Brian can now know that Brian picked a red card. | explicit | 0 | 4 | not_entailment | [
"Mary",
"Mignon",
"Peter",
"Brian"
] | 27,634 | explicit-0 | 0 | 0.946674 | 0.053326 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Vivian knows whether or not nobody is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] (Agenta knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0 | Ethel can now know whether Vivian is thirsty. | internal | 0 | 4 | not_entailment | [
"Ethel",
"Rochelle",
"Vivian",
"Barbara"
] | 16,804 | internal-0 | 0 | 0.518641 | 0.481359 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agentc knows whether (~(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 | Myrtle can now know whether Erwin can know whether or not nobody's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Roland",
"Miguel",
"Erwin",
"Myrtle"
] | 19,919 | forehead_mirror-1 | 1 | 0.99975 | 0.00025 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Billy's card is shown to Billy. Michael's card is shown to Billy. Billy's card is shown to Michael. Billy's card is shown to Kirk. It is publicly announced that someone picked a red card. It is publicly announced that Kirk knows whether Billy picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 1) ] (Agenta knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 1) ] 0 | Billy can now know whether Michael picked a red card. | explicit | 0 | 4 | entailment | [
"Billy",
"Michael",
"Kirk",
"Faith"
] | 67,026 | explicit-1 | 0 | 0.897448 | 1.897448 |
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 Ivana knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] (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 (1|2|3)) ] 0 | Betty can now know that someone's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Ivana",
"David",
"Betty"
] | 59,795 | forehead_mirror-1 | 1 | 0.999748 | 0.000252 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alva does not know whether Helen is thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (~(1&2&3&4)) ] (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) ] [ ! ~(Agentc knows whether 1) ] [ ! (~(1&2&3&4)) ] 0 | Eva can now know whether Michael is thirsty. | internal | 0 | 4 | not_entailment | [
"Helen",
"Eva",
"Alva",
"Michael"
] | 29,968 | internal-0 | 0 | 0.994625 | 0.005375 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Celeste does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agenta knows whether (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) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Deborah can now know whether Celeste can know that someone is thirsty. | internal | 1 | 4 | entailment | [
"Deborah",
"Celeste",
"Sylvia",
"Marcia"
] | 31,406 | internal-1 | 1 | 0.999777 | 0.000223 |
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 Roberto knows whether Domingo's forehead is muddy. It is publicly announced that Roberto'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 3) ] [ ! 2 ] (Agentb 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) ] [ ! (Agentb knows whether 3) ] [ ! 2 ] 0 | Roberto can now know that someone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Mark",
"Roberto",
"Domingo",
"Terry"
] | 36,685 | forehead_mirror-1 | 1 | 0.999775 | 0.000225 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kimberly does not know whether James is thirsty. It is publicly announced that Kimberly does not know whether or not everyone is thirsty. It is publicly announced that Kimberly is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 2 ] [ ! (1|2) ] (Agentb knows that (1|2)) | 4 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 2 ] [ ! (1|2) ] 0 | Kimberly can now know that someone is thirsty. | internal | 0 | 2 | entailment | [
"James",
"Kimberly"
] | 38,485 | internal-1 | 1 | 0.99978 | 0.00022 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Christa knows whether Robert's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] Agentb knows whether (Agenta knows whether (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] 0 | Christa can now know whether Robert can know whether or not everyone's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Robert",
"Christa"
] | 49,798 | forehead-0 | 0 | 0.975453 | 0.024547 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jack knows whether Ashley's forehead is muddy. It is publicly announced that Debra does not know whether Debra's forehead is muddy. It is publicly announced that Donald knows whether Ashley'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) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agentb knows whether 1) ] Agentc knows that (Agentd knows that 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) ] [ ! (Agentc knows whether 1) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agentb knows whether 1) ] 0 | Jack can now know that Debra can know that Jack's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Ashley",
"Donald",
"Jack",
"Debra"
] | 42,932 | forehead-0 | 0 | 0.993239 | 0.006761 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that James knows whether Luis's forehead is muddy. It is publicly announced that Wayne 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) ] [ ! (~(1&2&3&4)) ] [ ! (Agenta knows whether 3) ] [ ! (Agentd knows whether (1|2|3|4)) ] (Agentc knows that 4) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (Agenta knows whether 3) ] [ ! (Agentd knows whether (1|2|3|4)) ] 0 | Luis can now know that Wayne's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"James",
"Kevin",
"Luis",
"Wayne"
] | 62,315 | forehead-0 | 0 | 0.996605 | 0.003395 |
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 Anita 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) ] [ ! (Agentc knows whether (1&2&3&4)) ] Agentd 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) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0 | John can now know that Ronald can know that Anita's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Johnnie",
"Ronald",
"Anita",
"John"
] | 41,126 | forehead_mirror-0 | 0 | 0.917747 | 0.082253 |
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. It is publicly announced that Melissa 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) ] [ ! (1&2&3) ] [ ! (Agentb knows whether (1|2|3)) ] (Agentc 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) ] [ ! (Agentb knows whether (1|2|3)) ] 0 | William can now know that Melissa's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Roberta",
"Melissa",
"William"
] | 6,832 | forehead_mirror-1 | 1 | 0.996882 | 0.003118 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cliff's card is shown to Brian. Brian's card is shown to Cliff. It is publicly announced that someone picked a red card. It is publicly announced that Brian knows whether someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] (Agenta knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] 0 | Brian can now know whether Cliff picked a red card. | explicit | 0 | 2 | entailment | [
"Brian",
"Cliff"
] | 61,027 | explicit-1 | 0 | 0.910188 | 1.910188 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Josephine does not know whether Audrey is thirsty. It is publicly announced that John does not know whether Audrey 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) ] [ ! ~(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) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentb knows whether 1) ] 0 | John can now know that nobody is thirsty. | internal | 0 | 4 | not_entailment | [
"Audrey",
"John",
"Moises",
"Josephine"
] | 8,458 | internal-0 | 0 | 0.998373 | 0.001627 |
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 Douglas 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 (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) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Rose can now know whether Irma can know whether or not nobody's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Douglas",
"Rose",
"Irma"
] | 57,987 | forehead_mirror-1 | 1 | 0.99975 | 0.00025 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentb knows that (Agentc knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0 | Lester can now know that Tammie can know that Tammie's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Beryl",
"Lester",
"Tammie",
"Amanda"
] | 13,518 | forehead_mirror-0 | 0 | 0.998187 | 0.001813 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robin does not know whether Kelvin is thirsty. It is publicly announced that Bryon does not know whether Robin is thirsty. It is publicly announced that Kelvin does not know whether or not everyone is thirsty. It is publicly announced that Jared does not know whether Robin is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether 1) ] Agentc knows whether (Agenta knows that (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) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether 1) ] 0 | Jared can now know whether Robin can know that someone is thirsty. | internal | 1 | 4 | entailment | [
"Robin",
"Bryon",
"Jared",
"Kelvin"
] | 8,550 | internal-1 | 1 | 0.999772 | 0.000228 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nicholas is thirsty. It is publicly announced that Nicholas knows whether someone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] [ ! (Agenta knows whether (1|2)) ] (Agenta knows that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] [ ! (Agenta knows whether (1|2)) ] 0 | Nicholas can now know that nobody is thirsty. | internal | 0 | 2 | not_entailment | [
"Nicholas",
"Ricky"
] | 20,462 | internal-0 | 0 | 0.998539 | 0.001461 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Barbara knows whether someone's forehead is muddy. It is publicly announced that Barbara's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! 1 ] (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)) ] [ ! 1 ] 0 | Barbara can now know that someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Barbara",
"Keith",
"Michael"
] | 33,220 | forehead-1 | 1 | 0.999777 | 0.000223 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Teresa'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) ] [ ! ~(1) ] Agentc knows that (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) ] [ ! ~(1) ] 0 | Curtis can now know that Teresa can know whether or not nobody's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Teresa",
"Lani",
"Curtis"
] | 20,003 | forehead-1 | 1 | 0.999726 | 0.000274 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Patricia 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)) ] Agentd knows that (Agentb 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) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Dudley can now know that Patricia can know that Peter's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Peter",
"Patricia",
"Guy",
"Dudley"
] | 37,184 | forehead-1 | 1 | 0.646564 | 0.353436 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Donald's card is shown to Roger. John's card is shown to Donald. John's card is shown to John. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] (Agentc knows whether 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] 0 | John can now know whether Roger picked a red card. | explicit | 0 | 3 | not_entailment | [
"Roger",
"Donald",
"John"
] | 13,555 | explicit-0 | 0 | 0.925054 | 0.074946 |
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 Michael knows whether or not everyone'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 that (Agenta knows whether 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] 0 | Michael can now know that William can know whether William's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"William",
"Michael"
] | 32,737 | forehead_mirror-1 | 1 | 0.999615 | 0.000385 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Robin does not know whether or not everyone's forehead is muddy. It is publicly announced that Karen 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&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] (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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0 | Cora can now know that Robin's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Robin",
"Mary",
"Karen",
"Cora"
] | 2,218 | forehead-0 | 1 | 0.615663 | 1.615663 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ray's forehead is muddy. It is publicly announced that Patricia knows whether Annette's forehead is muddy. It is publicly announced that Annette does not know whether or not everyone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! (Agentd knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (~(1&2&3&4)) ] (Agentc knows whether 3) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! (Agentd knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (~(1&2&3&4)) ] 0 | Harold can now know whether Harold's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Ray",
"Annette",
"Harold",
"Patricia"
] | 39,757 | forehead-1 | 0 | 0.733775 | 1.733775 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Grace is not thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(1) ] Agentb knows whether (Agenta knows that (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(1) ] 0 | Paul can now know whether Grace can know that nobody is thirsty. | internal | 1 | 2 | entailment | [
"Grace",
"Paul"
] | 10,017 | internal-1 | 1 | 0.99935 | 0.00065 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dorthy 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 (Agenta knows that 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 | Juan can now know that Dorthy can know that June is thirsty. | internal | 1 | 3 | not_entailment | [
"Dorthy",
"Juan",
"June"
] | 64,889 | internal-0 | 0 | 0.902838 | 0.097162 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lois's card is shown to Peter. Catherine's card is shown to Lois. Nadine's card is shown to Nadine. Catherine's card is shown to Nadine. 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) ] Agentc knows whether (Agentb knows whether (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] 0 | Nadine can now know whether Lois can know whether or not everyone picked a red card. | explicit | 1 | 4 | entailment | [
"Peter",
"Lois",
"Nadine",
"Catherine"
] | 19,878 | explicit-1 | 0 | 0.916447 | 1.916447 |
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 Norma'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) ] 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) ] [ ! ~(3) ] 0 | Norma can now know that Jutta can know that Kelly's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Kelly",
"James",
"Norma",
"Jutta"
] | 60,601 | forehead_mirror-0 | 0 | 0.994459 | 0.005541 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeff's card is shown to Joy. Patrick's card is shown to Patrick. Patrick's card is shown to Jeff. It is publicly announced that someone picked a red card. It is publicly announced that Patrick picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! 2 ] (Agenta knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! 2 ] 0 | Joy can now know that nobody picked a red card. | explicit | 0 | 3 | not_entailment | [
"Joy",
"Patrick",
"Jeff"
] | 12,063 | explicit-0 | 0 | 0.9985 | 0.0015 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Holly's card is shown to Kristal. Carlota's card is shown to Carlota. Carlota's card is shown to Holly. It is publicly announced that someone picked a red card. It is publicly announced that Kristal does not know whether Kristal picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] Agenta knows that (Agentc knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] 0 | Kristal can now know that Holly can know that everyone picked a red card. | explicit | 1 | 3 | not_entailment | [
"Kristal",
"Carlota",
"Holly"
] | 54,457 | explicit-0 | 0 | 0.9981 | 0.0019 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barbara is thirsty. It is publicly announced that Steven does not know whether Sasha is thirsty. It is publicly announced that Steven does not know whether Janie is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 2) ] Agentb knows that (Agentc knows whether 1) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 2) ] 0 | Janie can now know that Sasha can know whether Steven is thirsty. | internal | 1 | 4 | not_entailment | [
"Steven",
"Janie",
"Sasha",
"Barbara"
] | 3,671 | internal-0 | 0 | 0.982211 | 0.017789 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Crystal's card is shown to Michael. Marlene's card is shown to Marlene. It is publicly announced that someone picked a red card. It is publicly announced that Marlene picked a red card. It is publicly announced that Michael does not know whether Michael 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 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agentb knows whether 2) ] [ ! (1&2&3) ] [ ! (1&2&3) ] Agentb knows that (Agenta knows that (~(1|2|3))) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agentb knows whether 2) ] [ ! (1&2&3) ] [ ! (1&2&3) ] 0 | Michael can now know that Crystal can know that nobody picked a red card. | explicit | 1 | 3 | not_entailment | [
"Crystal",
"Michael",
"Marlene"
] | 1,995 | explicit-0 | 0 | 0.990799 | 0.009201 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agentb knows that (Agenta 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) ] [ ! (1|2|3) ] 0 | Jose can now know that Barbara can know that Harold's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Barbara",
"Jose",
"Harold"
] | 49,509 | forehead-0 | 0 | 0.998268 | 0.001732 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Larry's card is shown to Larry. Mark's card is shown to Barbara. Barbara's card is shown to Mark. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] Agenta knows that (Agentc knows that (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] 0 | Larry can now know that Mark can know that everyone picked a red card. | explicit | 1 | 3 | not_entailment | [
"Larry",
"Barbara",
"Mark"
] | 54,034 | explicit-0 | 0 | 0.998306 | 0.001694 |
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 Judith knows whether or not everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] (Agenta knows that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] 0 | Judith can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 2 | not_entailment | [
"Judith",
"Robert"
] | 58,403 | forehead_mirror-0 | 0 | 0.998487 | 0.001513 |
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 Martha 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) ] [ ! (Agenta knows whether (1|2|3|4)) ] Agenta knows whether (Agentc 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) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0 | Martha can now know whether Jennifer can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Martha",
"Helen",
"Jennifer",
"Laura"
] | 62,210 | forehead_mirror-1 | 1 | 0.999399 | 0.000601 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Michael. Paul's card is shown to Michael. Denise's card is shown to Michael. Denise's card is shown to Denise. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 VALID? [ ! (1|2|3) ] (Agentb knows whether 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 VALID? [ ! (1|2|3) ] 0 | Paul can now know whether Michael picked a red card. | explicit | 0 | 3 | not_entailment | [
"Michael",
"Paul",
"Denise"
] | 5,267 | explicit-0 | 0 | 0.595053 | 0.404947 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charlotte's card is shown to Charlotte. Dennis's card is shown to Dennis. Yajaira's card is shown to Dennis. Dennis's card is shown to Yajaira. Dennis's card is shown to Debora. It is publicly announced that someone picked a red card. It is publicly announced that Charlotte does not know whether Dennis picked a red card. It is publicly announced that Dennis picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(2) ] (Agenta knows that 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(2) ] 0 | Charlotte can now know that Debora picked a red card. | explicit | 0 | 4 | not_entailment | [
"Charlotte",
"Dennis",
"Yajaira",
"Debora"
] | 11,041 | explicit-0 | 0 | 0.949453 | 0.050547 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Henry's card is shown to Pamela. Geraldine's card is shown to Geraldine. Geraldine's card is shown to Henry. It is publicly announced that someone picked a red card. It is publicly announced that Geraldine does not know whether Henry picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agentb knows whether (Agentc knows that (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0 | Geraldine can now know whether Henry can know that someone picked a red card. | explicit | 1 | 3 | entailment | [
"Pamela",
"Geraldine",
"Henry"
] | 9,105 | explicit-1 | 1 | 0.999778 | 0.000222 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Kevin knows whether Kevin'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) ] Agenta knows whether (Agentb knows whether 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 1) ] 0 | Kevin can now know whether Rafael can know whether Kevin's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Kevin",
"Rafael"
] | 52,226 | forehead_mirror-1 | 1 | 0.999722 | 0.000278 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Martin's forehead is muddy. It is publicly announced that John does not know 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) ] [ ! 1 ] [ ! ~(Agentc knows whether 3) ] Agentb knows that (Agentd 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 ] [ ! ~(Agentc knows whether 3) ] 0 | Roger can now know that David can know whether Roger's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Martin",
"Roger",
"John",
"David"
] | 21,156 | forehead-1 | 1 | 0.999522 | 0.000478 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gertrude's card is shown to Robert. David's card is shown to Robert. Gertrude's card is shown to Gertrude. David's card is shown to David. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] (Agenta knows that 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Robert can now know that Robert picked a red card. | explicit | 0 | 3 | not_entailment | [
"Robert",
"Gertrude",
"David"
] | 49,864 | explicit-0 | 0 | 0.998136 | 0.001864 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Valeria does not know whether Valeria's forehead is muddy. It is publicly announced that Valeria does not know whether Valeria'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 2) ] [ ! ~(Agentb knows whether 2) ] Agenta knows that (Agentb 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 2) ] [ ! ~(Agentb knows whether 2) ] 0 | Dorothy can now know that Valeria can know that everyone's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Dorothy",
"Valeria",
"Joseph"
] | 37,634 | forehead-0 | 0 | 0.99835 | 0.00165 |
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) ] Agenta knows that (Agentb knows that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0 | Erik can now know that Jennifer can know that Jennifer's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Erik",
"Jennifer",
"Marcia"
] | 42,493 | forehead_mirror-0 | 0 | 0.998432 | 0.001568 |
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 Dorathy. Dorathy's card is shown to Wade. Bobby's card is shown to Wade. Wade's card is shown to Bobby. It is publicly announced that someone picked a red card. It is publicly announced that Dorathy does not know whether Dorathy picked a red card. It is publicly announced that Dorathy knows whether Bobby picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agenta knows whether 3) ] (Agenta knows whether 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agenta knows whether 3) ] 0 | Dorathy can now know whether Bobby picked a red card. | explicit | 0 | 3 | entailment | [
"Dorathy",
"Wade",
"Bobby"
] | 19,962 | explicit-1 | 0 | 0.509167 | 1.509167 |
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 everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (1&2) ] Agenta knows that (Agentb knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (1&2) ] 0 | Frances can now know that Thomas can know that everyone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Frances",
"Thomas"
] | 42 | forehead-1 | 1 | 0.995654 | 0.004346 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mike is not thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(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) ] [ ! ~(4) ] 0 | Henry can now know whether Mike is thirsty. | internal | 0 | 4 | entailment | [
"Henry",
"Francisco",
"Beatrice",
"Mike"
] | 66,420 | internal-1 | 1 | 0.847766 | 0.152234 |
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 Douglas 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 | Zoila can now know whether someone's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Douglas",
"Zoila",
"David"
] | 24,677 | forehead_mirror-1 | 1 | 0.99977 | 0.00023 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Helen knows whether Cyndy'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) ] (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) ] [ ! (Agentb knows whether 1) ] 0 | Robert can now know that someone's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Cyndy",
"Helen",
"Robert"
] | 52,472 | forehead_mirror-1 | 1 | 0.999752 | 0.000248 |
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 Alfonso 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))) ] Agenta knows whether (Agentc 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) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Alfonso can now know whether Theresa can know that Alfonso's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Alfonso",
"Jeanette",
"Theresa"
] | 55,692 | forehead_mirror-1 | 1 | 0.999368 | 0.000632 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Samuel does not know whether Nicholas 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) ] (Agentb 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) ] [ ! ~(Agentd knows whether 2) ] 0 | Nicholas can now know that John is thirsty. | internal | 0 | 4 | not_entailment | [
"Chrystal",
"Nicholas",
"John",
"Samuel"
] | 12,549 | internal-0 | 0 | 0.998367 | 0.001633 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mary knows whether Stephen'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 4) ] (Agentb knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 4) ] 0 | Mary can now know that everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Alfredo",
"Mary",
"Andrew",
"Stephen"
] | 62,726 | forehead-0 | 0 | 0.998416 | 0.001584 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Myra knows whether Mark'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 3) ] Agentb knows that (Agentd knows that 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 3) ] 0 | Tammy can now know that Michael can know that Tammy's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Myra",
"Tammy",
"Mark",
"Michael"
] | 46,283 | forehead-0 | 0 | 0.998062 | 0.001938 |