premise
stringlengths 104
712
| smcdel_problem
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| n_announcements
int64 0
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| pbcheck
stringlengths 52
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| hypothesis
stringlengths 37
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stringclasses 4
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| index
int64 1
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int64 0
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float64 0.5
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ramona does not know whether or not everyone is thirsty. It is publicly announced that Patricia knows whether Ramona is thirsty. It is publicly announced that John does not know whether Patricia is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentc knows whether 1) ] Agenta knows that (Agentb knows that 3) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentc knows whether 1) ] 0 | Patricia can now know that Ramona can know that John is thirsty. | internal | 1 | 3 | not_entailment | [
"Patricia",
"Ramona",
"John"
] | 35,451 | internal-0 | 0 | 0.976257 | 0.023743 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Michael. Ronald's card is shown to Michael. Peter's card is shown to Ronald. Ronald's card is shown to Alison. Alison's card is shown to Peter. Peter's card is shown to Peter. It is publicly announced that someone picked a red card. It is publicly announced that Ronald does not know whether Alison picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] Agenta knows that (Agentb knows whether (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0 | Michael can now know that Ronald can know whether or not nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Michael",
"Ronald",
"Alison",
"Peter"
] | 32,163 | explicit-1 | 1 | 0.999342 | 0.000658 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ellen does not know whether Miguel is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agenta knows that (Agentb knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0 | Brandy can now know that Ellen can know whether Miguel is thirsty. | internal | 1 | 3 | not_entailment | [
"Brandy",
"Ellen",
"Miguel"
] | 9,435 | internal-0 | 0 | 0.994191 | 0.005809 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Christopher knows whether John's forehead is muddy. It is publicly announced that Elizabeth's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] [ ! 1 ] (Agenta knows that 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] [ ! 1 ] 0 | Elizabeth can now know that John's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Elizabeth",
"Janet",
"Christopher",
"John"
] | 30,438 | forehead-0 | 0 | 0.847886 | 0.152114 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Janice's card is shown to Michael. Michael's card is shown to Janice. Janice's card is shown to Janice. It is publicly announced that someone picked a red card. It is publicly announced that Michael picked a red card. It is publicly announced that Nellie does not know whether Nellie picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! ~(Agenta knows whether 1) ] (Agenta knows whether (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! ~(Agenta knows whether 1) ] 0 | Nellie can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"Nellie",
"Michael",
"Janice"
] | 42,724 | explicit-1 | 1 | 0.999461 | 0.000539 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Thomas's card is shown to Daniel. Harry's card is shown to Thomas. Daniel's card is shown to Shellie. Harry's card is shown to Shellie. Thomas's card is shown to Harry. Harry's card is shown to Harry. It is publicly announced that someone picked a red card. It is publicly announced that Harry picked a red card. It is publicly announced that Daniel does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:1,4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agenta knows that (Agentb knows whether 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:1,4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Daniel can now know that Thomas can know whether Shellie picked a red card. | explicit | 1 | 4 | not_entailment | [
"Daniel",
"Thomas",
"Shellie",
"Harry"
] | 24,424 | explicit-0 | 0 | 0.738524 | 0.261476 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Michael knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] (Agentc knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | David can now know whether someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Ronald",
"Michael",
"David"
] | 59,029 | forehead-1 | 1 | 0.999496 | 0.000504 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anthony's card is shown to Anthony. Robert's card is shown to Anthony. Robert's card is shown to Stephanie. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2|3) ] (Agentb knows whether 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2|3) ] 0 | Robert can now know whether Stephanie picked a red card. | explicit | 0 | 3 | not_entailment | [
"Anthony",
"Robert",
"Stephanie"
] | 53,566 | explicit-0 | 0 | 0.989602 | 0.010398 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Annie knows whether Annie is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 1) ] (Agentb knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 1) ] 0 | Anthony can now know whether someone is thirsty. | internal | 0 | 2 | entailment | [
"Annie",
"Anthony"
] | 65,910 | internal-1 | 1 | 0.999392 | 0.000608 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robyn does not know whether Jean is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Amos does not know whether Jean 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) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] (Agenta knows that 3) | 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&3&4)) ] [ ! ~(Agentd knows whether 1) ] 0 | Jean can now know that Ryan is thirsty. | internal | 0 | 4 | not_entailment | [
"Jean",
"Robyn",
"Ryan",
"Amos"
] | 12,933 | internal-0 | 0 | 0.997795 | 0.002205 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Michelle knows whether Michelle's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] (Agentb knows that 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] 0 | Michelle can now know that Michelle's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Maryam",
"Michelle"
] | 11,136 | forehead-1 | 0 | 0.950054 | 1.950054 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Steve's card is shown to Lynne. Lynne's card is shown to Caitlyn. Caitlyn's card is shown to Caitlyn. Steve's card is shown to Caitlyn. Caitlyn's card is shown to Steve. 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 someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (1|2|3) ] (Agenta knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (1|2|3) ] 0 | Lynne can now know that Steve picked a red card. | explicit | 0 | 3 | not_entailment | [
"Lynne",
"Caitlyn",
"Steve"
] | 16,888 | explicit-0 | 0 | 0.963422 | 0.036578 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Teresa does not know whether John is thirsty. It is publicly announced that Teresa is not 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 4) ] [ ! ~(3) ] [ ! (~(1&2&3&4)) ] Agenta knows whether (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) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(3) ] [ ! (~(1&2&3&4)) ] 0 | Kellie can now know whether Gladys can know that Kellie is thirsty. | internal | 1 | 4 | entailment | [
"Kellie",
"Gladys",
"Teresa",
"John"
] | 20,218 | internal-1 | 1 | 0.892042 | 0.107958 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mark does not know whether Mark's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (~(1&2)) ] Agentb knows that (Agenta knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (~(1&2)) ] 0 | Mark can now know that Jason can know that everyone's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Jason",
"Mark"
] | 17,896 | forehead-0 | 0 | 0.996127 | 0.003873 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alonzo does not know whether or not everyone is thirsty. It is publicly announced that Alonzo knows whether Alonzo is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 2) ] Agenta knows whether (Agentb knows whether (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 2) ] 0 | Lonnie can now know whether Alonzo can know whether or not nobody is thirsty. | internal | 1 | 2 | entailment | [
"Lonnie",
"Alonzo"
] | 44,671 | internal-1 | 1 | 0.999464 | 0.000536 |
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 Jonathan 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)) ] (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) ] [ ! (Agentc knows whether (1|2|3)) ] 0 | Jonathan can now know whether or not nobody's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Tanya",
"Jerry",
"Jonathan"
] | 18,836 | forehead_mirror-1 | 1 | 0.999184 | 0.000816 |
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 Alfred knows whether someone is thirsty. It is publicly announced that Kevin does not know whether Alfred is thirsty. It is publicly announced that Kevin knows whether or not nobody is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agentb knows that 3) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | Kevin can now know that Alfred is thirsty. | internal | 0 | 3 | not_entailment | [
"April",
"Kevin",
"Alfred"
] | 46,753 | internal-0 | 0 | 0.994472 | 0.005528 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Gary knows whether 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) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (~(1&2&3&4)) ] Agenta knows whether (Agentb knows whether 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (~(1&2&3&4)) ] 0 | Brandon can now know whether Victoria can know whether Mary's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Brandon",
"Victoria",
"Mary",
"Gary"
] | 58,897 | forehead-1 | 1 | 0.998718 | 0.001282 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joan knows whether Joan is thirsty. It is publicly announced that Harold does not know whether Shanika is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb 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) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether 3) ] 0 | Harold can now know whether Joan is thirsty. | internal | 0 | 3 | not_entailment | [
"Joan",
"Harold",
"Shanika"
] | 28,699 | internal-0 | 0 | 0.986692 | 0.013308 |
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 2) | 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 | Wesley can now know whether Marty's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Wesley",
"Marty",
"Courtney"
] | 8,147 | forehead_mirror-1 | 1 | 0.999417 | 0.000583 |
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 Grant knows whether or not everyone's forehead is muddy. It is publicly announced that Alice 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)) ] [ ! (Agentd knows whether (1&2&3&4)) ] Agentd knows whether (Agentb knows that 3) | 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 (1&2&3&4)) ] [ ! (Agentd knows whether (1&2&3&4)) ] 0 | Alice can now know whether Grant can know that James's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Harriet",
"Grant",
"James",
"Alice"
] | 17,324 | forehead_mirror-1 | 1 | 0.999465 | 0.000535 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Judy knows whether someone's forehead is muddy. It is publicly announced that Eva knows whether or not nobody's forehead is muddy. It is publicly announced that Eva knows whether Judy's forehead is muddy. It is publicly announced that Rosetta knows whether Rosetta'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 whether (~(1|2|3))) ] [ ! (Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] Agenta knows whether (Agentb knows whether (~(1|2|3))) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! (Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] 0 | Judy can now know whether Rosetta can know whether or not nobody's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Judy",
"Rosetta",
"Eva"
] | 66,728 | forehead_mirror-1 | 1 | 0.999288 | 0.000712 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Alexander knows whether Brian's forehead is muddy. It is publicly announced that Preston knows whether Mary'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 3) ] [ ! (Agentd knows whether 1) ] (Agentd knows whether 1) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 3) ] [ ! (Agentd knows whether 1) ] 0 | Preston can now know whether Mary's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Mary",
"Alexander",
"Brian",
"Preston"
] | 16,861 | forehead-1 | 1 | 0.999394 | 0.000606 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Elena knows whether or not nobody's forehead is muddy. It is publicly announced that Elena does not know whether Elena's forehead is muddy. It is publicly announced that Elena knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] (Agenta knows that (1&2&3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | Cathy can now know that everyone's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Cathy",
"Elena",
"Donald"
] | 34,678 | forehead-0 | 0 | 0.998246 | 0.001754 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that George does not know whether Trey is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] [ ! (1|2|3|4) ] (Agenta 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) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] [ ! (1|2|3|4) ] 0 | Lucille can now know that Lucille is thirsty. | internal | 0 | 4 | not_entailment | [
"Lucille",
"Joe",
"Trey",
"George"
] | 44,675 | internal-0 | 0 | 0.995911 | 0.004089 |
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 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 | Theresa can now know that Jason's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Tammy",
"Theresa",
"Jason",
"Mike"
] | 37,003 | forehead_mirror-0 | 0 | 0.99704 | 0.00296 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kim's card is shown to Kim. Pamela's card is shown to Kim. Rita's card is shown to Kelly. Rita's card is shown to Rita. It is publicly announced that someone picked a red card. It is publicly announced that Kim picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] (Agentc knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] 0 | Kelly can now know whether or not everyone picked a red card. | explicit | 0 | 4 | not_entailment | [
"Kim",
"Pamela",
"Kelly",
"Rita"
] | 6,611 | explicit-0 | 1 | 0.838605 | 1.838605 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elizabeth does not know whether David is thirsty. It is publicly announced that Frances does not know whether Julie 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 2) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] Agentc knows that (Agentd knows whether 4) | 3 | 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 2) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] 0 | Elizabeth can now know that Julie can know whether Julie is thirsty. | internal | 1 | 4 | entailment | [
"Frances",
"David",
"Elizabeth",
"Julie"
] | 15,455 | internal-1 | 1 | 0.96904 | 0.03096 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Benjamin is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] Agentb knows whether (Agenta knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0 | Darryl can now know whether Alberto can know whether or not everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Alberto",
"Darryl",
"Augusta",
"Benjamin"
] | 38,969 | internal-0 | 1 | 0.819784 | 1.819784 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kevin's card is shown to Kevin. Sandra's card is shown to Sandra. Stephanie's card is shown to Sandra. Kevin's card is shown to Stephanie. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows whether 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Sandra can now know that Kevin can know whether Kevin picked a red card. | explicit | 1 | 3 | entailment | [
"Kevin",
"Sandra",
"Stephanie"
] | 48,747 | explicit-1 | 1 | 0.852322 | 0.147678 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Filiberto's card is shown to Filiberto. Filiberto's card is shown to Virginia. Virginia's card is shown to Virginia. Virginia's card is shown to Joyce. It is publicly announced that someone picked a red card. It is publicly announced that Joyce knows whether or not nobody picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agentb knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0 | Virginia can now know that Virginia picked a red card. | explicit | 0 | 3 | not_entailment | [
"Filiberto",
"Virginia",
"Joyce"
] | 67,310 | explicit-0 | 0 | 0.990897 | 0.009103 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Susan does not know whether Derek is thirsty. It is publicly announced that Susan is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(3) ] Agenta knows whether (Agentc 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) ] [ ! ~(3) ] 0 | Derek can now know whether Susan can know that Derek is thirsty. | internal | 1 | 3 | entailment | [
"Derek",
"Latoya",
"Susan"
] | 3,421 | internal-1 | 1 | 0.965827 | 0.034173 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph does not know whether Darrin is thirsty. It is publicly announced that Michelle is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! 2 ] Agenta knows that (Agentd knows that 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! 2 ] 0 | Barbara can now know that Darrin can know that Darrin is thirsty. | internal | 1 | 4 | not_entailment | [
"Barbara",
"Michelle",
"Joseph",
"Darrin"
] | 40,764 | internal-0 | 0 | 0.959486 | 0.040514 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gordon's card is shown to Carol. Gordon's card is shown to Gordon. It is publicly announced that someone picked a red card. It is publicly announced that Carol picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] Agenta knows that (Agentb knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] 0 | Carol can now know that Gordon can know whether Gordon picked a red card. | explicit | 1 | 2 | entailment | [
"Carol",
"Gordon"
] | 55,822 | explicit-1 | 1 | 0.895379 | 0.104621 |
There are two 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 Shawn knows whether Rufus's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 2) ] (Agenta knows that (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 2) ] 0 | Shawn can now know that someone's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Shawn",
"Rufus"
] | 58,044 | forehead-1 | 1 | 0.999298 | 0.000702 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Delia's card is shown to Haywood. Haywood's card is shown to Freddie. Freddie's card is shown to Freddie. Haywood's card is shown to Delia. Freddie's card is shown to Delia. It is publicly announced that someone picked a red card. It is publicly announced that Freddie knows whether Freddie picked a red card. It is publicly announced that Haywood does not know whether Freddie picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agenta knows whether 2) ] (Agentc knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agenta knows whether 2) ] 0 | Delia can now know that nobody picked a red card. | explicit | 0 | 3 | not_entailment | [
"Haywood",
"Freddie",
"Delia"
] | 19,611 | explicit-0 | 0 | 0.999039 | 0.000961 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Amelia does not know whether Amelia's forehead is muddy. It is publicly announced that Jesus knows whether or not everyone's forehead is muddy. It is publicly announced that Jesus knows whether someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] (Agentb knows that 2) | 3 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] 0 | Jesus can now know that Jesus's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Amelia",
"Jesus"
] | 57,070 | forehead-1 | 0 | 0.964275 | 1.964275 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to David. Katherine's card is shown to David. David's card is shown to Robert. Robert's card is shown to Robert. Katherine's card is shown to Robert. David's card is shown to Katherine. Christopher's card is shown to Katherine. Christopher's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that Christopher does not know whether Katherine picked a red card. It is publicly announced that Christopher does not know whether Robert picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,2,3 Agentc:1,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether 2) ] (Agenta knows that 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,2,3 Agentc:1,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether 2) ] 0 | David can now know that Christopher picked a red card. | explicit | 0 | 4 | not_entailment | [
"David",
"Robert",
"Katherine",
"Christopher"
] | 38,859 | explicit-0 | 0 | 0.982292 | 0.017708 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Susan knows whether or not nobody's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] (Agenta knows whether (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Jason can now know whether or not nobody's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Jason",
"Susan"
] | 24,121 | forehead-1 | 1 | 0.999358 | 0.000642 |
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 Tera's forehead is not muddy. It is publicly announced that Christopher's forehead is muddy. It is publicly announced that Christopher'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) ] [ ! 2 ] [ ! 2 ] (Agenta knows that 3) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] [ ! 2 ] [ ! 2 ] 0 | Fred can now know that Tera's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Fred",
"Christopher",
"Tera"
] | 23,517 | forehead_mirror-0 | 0 | 0.92071 | 0.07929 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kayla's card is shown to Kayla. Edward's card is shown to Kayla. Kayla's card is shown to Edward. Edward's card is shown to Edward. Edward's card is shown to Noreen. Noreen's card is shown to Noreen. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows that (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] 0 | Kayla can now know whether Edward can know that someone picked a red card. | explicit | 1 | 3 | entailment | [
"Kayla",
"Edward",
"Noreen"
] | 34,816 | explicit-1 | 1 | 0.999416 | 0.000584 |
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 Janice knows whether Janice's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 4) ] Agentc knows that (Agenta knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 4) ] 0 | Michael can now know that Deanna can know whether Michael's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Deanna",
"Casey",
"Michael",
"Janice"
] | 55,272 | forehead_mirror-1 | 1 | 0.999362 | 0.000638 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Larry's card is shown to John. John's card is shown to Larry. Larry's card is shown to Larry. It is publicly announced that someone picked a red card. It is publicly announced that John knows whether Larry picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] Agenta knows whether (Agentb knows that (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0 | John can now know whether Larry can know that someone picked a red card. | explicit | 1 | 2 | entailment | [
"John",
"Larry"
] | 67,155 | explicit-1 | 1 | 0.999432 | 0.000568 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Christina knows whether or not nobody's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agentb knows that 2) | 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 | Kristine can now know that Kristine's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Marisela",
"Kristine",
"Christina"
] | 22,412 | forehead_mirror-0 | 0 | 0.998092 | 0.001908 |
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 that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Bonnie can now know whether Anthony can know that Anthony's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Bonnie",
"Glenn",
"Anthony"
] | 21,784 | forehead_mirror-1 | 1 | 0.999401 | 0.000599 |
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 Evelyn knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1&2&3)) ] (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) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1&2&3)) ] 0 | Evelyn can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Ethel",
"Murray",
"Evelyn"
] | 21,181 | forehead_mirror-0 | 0 | 0.998931 | 0.001069 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Vanessa. Lawrence's card is shown to Thomas. Vanessa's card is shown to James. Vanessa's card is shown to Lawrence. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows that 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] 0 | Vanessa can now know that Thomas can know that Lawrence picked a red card. | explicit | 1 | 4 | not_entailment | [
"Vanessa",
"Thomas",
"James",
"Lawrence"
] | 64,924 | explicit-0 | 0 | 0.998394 | 0.001606 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Richard does not know whether Jean is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] Agenta knows whether (Agentb knows that (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] 0 | Monty can now know whether Jean can know that someone is thirsty. | internal | 1 | 3 | entailment | [
"Monty",
"Jean",
"Richard"
] | 38,885 | internal-1 | 1 | 0.99944 | 0.00056 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tonya is not thirsty. It is publicly announced that Tonya does not know whether David is thirsty. It is publicly announced that Jeffrey does not know whether Hazel is thirsty. It is publicly announced that Jeffrey does not know whether Hazel is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] Agentc knows that (Agentb knows that 3) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] 0 | Tonya can now know that David can know that Tonya is thirsty. | internal | 1 | 4 | not_entailment | [
"Jeffrey",
"David",
"Tonya",
"Hazel"
] | 43,159 | internal-0 | 0 | 0.996495 | 0.003505 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Violette does not know whether Tonya 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) ] Agentc knows whether (Agentd knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0 | Tonya can now know whether David can know that Violette is thirsty. | internal | 1 | 4 | entailment | [
"Violette",
"Jeanne",
"Tonya",
"David"
] | 22,720 | internal-1 | 1 | 0.990416 | 0.009584 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barbara does not know whether John is thirsty. It is publicly announced that Candice does not know whether John is thirsty. It is publicly announced that Candice does not know whether John is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 2) ] (Agenta knows that 2) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 2) ] 0 | Barbara can now know that John is thirsty. | internal | 0 | 3 | not_entailment | [
"Barbara",
"John",
"Candice"
] | 42,396 | internal-0 | 0 | 0.994015 | 0.005985 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (Agentd knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0 | Martha can now know that Russell is thirsty. | internal | 0 | 4 | not_entailment | [
"Carson",
"Travis",
"Russell",
"Martha"
] | 29,097 | internal-0 | 0 | 0.994126 | 0.005874 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nancy's card is shown to Nancy. Tamara's card is shown to Nancy. Nancy's card is shown to Melissa. Melissa's card is shown to Melissa. Nancy's card is shown to Tamara. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows whether 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Nancy can now know whether Tamara picked a red card. | explicit | 0 | 3 | entailment | [
"Nancy",
"Melissa",
"Tamara"
] | 34,548 | explicit-1 | 0 | 0.984871 | 1.984871 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ernest does not know whether Ernest's forehead is muddy. It is publicly announced that Harold's forehead is not muddy. It is publicly announced that Ernest'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) ] [ ! ~(3) ] [ ! 1 ] Agenta knows whether (Agentc 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) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(3) ] [ ! 1 ] 0 | Ernest can now know whether Harold can know whether or not everyone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Ernest",
"Thomas",
"Harold"
] | 6,512 | forehead-1 | 1 | 0.964028 | 0.035972 |
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 Anna knows whether Nicholas's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] (Agenta 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) ] [ ! (Agentc knows whether 2) ] 0 | Lola can now know that Anna's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Lola",
"Nicholas",
"Anna"
] | 40,789 | forehead_mirror-0 | 0 | 0.99809 | 0.00191 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] Agenta knows whether (Agentb knows that 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0 | Diane can now know whether Deon can know that Diane's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Diane",
"Deon"
] | 19,696 | forehead_mirror-1 | 1 | 0.999426 | 0.000574 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Burton's card is shown to Marc. Burton's card is shown to Burton. Joel's card is shown to Burton. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows whether (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] 0 | Marc can now know that Burton can know whether or not everyone picked a red card. | explicit | 1 | 3 | not_entailment | [
"Marc",
"Burton",
"Joel"
] | 51,809 | explicit-0 | 0 | 0.985977 | 0.014023 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Keisha knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] (Agentc knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] 0 | Keisha can now know that Keisha's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Jane",
"Alvin",
"Keisha"
] | 43,278 | forehead_mirror-0 | 0 | 0.995774 | 0.004226 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Donna does not know whether William is thirsty. It is publicly announced that Cleo 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) ] [ ! 3 ] Agentd knows whether (Agentb knows whether (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! 3 ] 0 | Abe can now know whether Donna can know whether someone is thirsty. | internal | 1 | 4 | entailment | [
"William",
"Donna",
"Cleo",
"Abe"
] | 58,900 | internal-1 | 1 | 0.999486 | 0.000514 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Edwin does not know whether Darlene 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) ] Agentd knows whether (Agenta knows whether (1|2|3|4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0 | Darlene can now know whether Edwin can know whether someone is thirsty. | internal | 1 | 4 | entailment | [
"Edwin",
"Kristen",
"Michele",
"Darlene"
] | 52,456 | internal-1 | 1 | 0.999401 | 0.000599 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James 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) ] [ ! 3 ] [ ! (~(1&2&3&4)) ] Agentc knows that (Agentb knows whether (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (~(1&2&3&4)) ] 0 | James can now know that Lottie can know whether or not nobody is thirsty. | internal | 1 | 4 | entailment | [
"Robert",
"Lottie",
"James",
"Mark"
] | 44,920 | internal-1 | 1 | 0.999337 | 0.000663 |
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)) ] Agentc knows that (Agenta knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0 | Mary can now know that Wendy can know that everyone's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Wendy",
"Darby",
"Mary",
"Sara"
] | 29,832 | forehead-0 | 0 | 0.993289 | 0.006711 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Neal knows whether 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) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (~(1&2&3&4)) ] Agentb knows whether (Agenta 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) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (~(1&2&3&4)) ] 0 | Edward can now know whether Kathleen can know whether someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Kathleen",
"Edward",
"Leslie",
"Neal"
] | 63,603 | forehead-1 | 1 | 0.99928 | 0.00072 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Carmen does not know whether Carmen'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 2) ] Agentb knows that (Agentd knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] 0 | Carmen can now know that Evelyn can know whether or not everyone's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Gregory",
"Carmen",
"Helen",
"Evelyn"
] | 12,723 | forehead-0 | 0 | 0.989738 | 0.010262 |
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 Alice knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] Agentc knows that (Agentb knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0 | Paula can now know that Wilfred can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Joanna",
"Wilfred",
"Paula",
"Alice"
] | 38,147 | forehead_mirror-0 | 0 | 0.998932 | 0.001068 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Doris does not know whether Doris's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Thomas knows whether or not everyone's forehead is muddy. It is publicly announced that Thomas's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! (~(1&2&3&4)) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! 2 ] Agentb knows whether (Agentd knows whether 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) ] [ ! ~(Agentc knows whether 3) ] [ ! (~(1&2&3&4)) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! 2 ] 0 | Thomas can now know whether Matthew can know whether Matthew's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Jane",
"Thomas",
"Doris",
"Matthew"
] | 62,406 | forehead-1 | 0 | 0.845331 | 1.845331 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jeannie knows whether someone's forehead is muddy. It is publicly announced that May does not know whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows that (Agentc knows whether (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Jeannie can now know that May can know whether or not everyone's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Jeannie",
"Rafael",
"May"
] | 57,232 | forehead-0 | 0 | 0.678923 | 0.321077 |
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 Patricia knows whether or not nobody's forehead is muddy. It is publicly announced that Billy'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) ] Agentb knows whether (Agenta knows whether 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 | Patricia can now know whether Billy can know whether Patricia's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Billy",
"Patricia"
] | 24,930 | forehead_mirror-1 | 1 | 0.999451 | 0.000549 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Edward knows whether Edward's forehead is muddy. It is publicly announced that Edward knows whether Edward's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether 3) ] [ ! (1|2|3|4) ] Agentb knows whether (Agentd 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) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether 3) ] [ ! (1|2|3|4) ] 0 | Williams can now know whether Refugio can know that Refugio's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Ruby",
"Williams",
"Edward",
"Refugio"
] | 30,155 | forehead-1 | 0 | 0.589338 | 1.589338 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Craig does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agenta knows whether (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Craig can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"Craig",
"Robert",
"Misty",
"Richard"
] | 56,483 | internal-1 | 1 | 0.99947 | 0.00053 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Debra is thirsty. It is publicly announced that James 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) ] [ ! 2 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentc knows that (Agentb knows whether (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | Shaunna can now know that Debra can know whether or not nobody is thirsty. | internal | 1 | 4 | entailment | [
"Terry",
"Debra",
"Shaunna",
"James"
] | 11,407 | internal-1 | 1 | 0.999481 | 0.000519 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to James. Lela's card is shown to James. James's card is shown to Erin. Erin's card is shown to Lela. Lela's card is shown to Lela. It is publicly announced that someone picked a red card. It is publicly announced that James picked a black card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] (Agentb knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] 0 | Erin can now know whether Erin picked a red card. | explicit | 0 | 3 | not_entailment | [
"James",
"Erin",
"Lela"
] | 30,891 | explicit-0 | 1 | 0.8353 | 1.8353 |
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 Dorothea's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(1) ] Agentb knows that (Agenta knows that (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(1) ] 0 | Barbara can now know that Dorothea can know that nobody's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Dorothea",
"Barbara"
] | 38,125 | forehead_mirror-0 | 0 | 0.998949 | 0.001051 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Keith knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 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) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | Keith can now know that Sherlyn can know that everyone's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Sherlyn",
"Keith",
"Thomas"
] | 20,359 | forehead_mirror-0 | 0 | 0.998727 | 0.001273 |
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 Alicia's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] Agentd knows whether (Agentb knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] 0 | Brian can now know whether Gloria can know that everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Alejandro",
"Gloria",
"Alicia",
"Brian"
] | 51,047 | forehead_mirror-1 | 1 | 0.999414 | 0.000586 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether Andrew is thirsty. It is publicly announced that David does not know whether Andrew is thirsty. It is publicly announced that David 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) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agentb knows that 2) | 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 2) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | Andrew can now know that Andrew is thirsty. | internal | 0 | 4 | not_entailment | [
"William",
"Andrew",
"Margaret",
"David"
] | 16,013 | internal-0 | 0 | 0.672589 | 0.327411 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that John'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 ] Agenta knows that (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) ] [ ! 3 ] 0 | Gary can now know that John can know that Gary's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Gary",
"Philip",
"John"
] | 17,505 | forehead_mirror-0 | 0 | 0.995475 | 0.004525 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Yvonne knows whether someone's forehead is muddy. It is publicly announced that Doris knows whether Yvonne's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (Agentb knows whether 4) ] (Agentd 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) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (Agentb knows whether 4) ] 0 | Yvonne can now know that Helen's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Juan",
"Doris",
"Helen",
"Yvonne"
] | 28,309 | forehead-0 | 0 | 0.997959 | 0.002041 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lee does not know whether Alexander is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Jeffrey is thirsty. It is publicly announced that Lee knows whether Jeffrey 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) ] [ ! (~(1&2&3&4)) ] [ ! 2 ] [ ! (Agentc knows whether 2) ] (Agentd knows that 3) | 4 | 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) ] [ ! (~(1&2&3&4)) ] [ ! 2 ] [ ! (Agentc knows whether 2) ] 0 | Alexander can now know that Lee is thirsty. | internal | 0 | 4 | not_entailment | [
"Ruben",
"Jeffrey",
"Lee",
"Alexander"
] | 6,430 | internal-0 | 0 | 0.9508 | 0.0492 |
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 Ashley'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) ] [ ! ~(4) ] (Agentb knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0 | Elva can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Michael",
"Elva",
"Justin",
"Ashley"
] | 15,207 | forehead_mirror-0 | 0 | 0.998933 | 0.001067 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gerry does not know whether or not everyone is thirsty. It is publicly announced that Patricia 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)) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Edyth can now know that nobody is thirsty. | internal | 0 | 3 | not_entailment | [
"Patricia",
"Edyth",
"Gerry"
] | 35,886 | internal-0 | 0 | 0.999045 | 0.000955 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rose does not know whether Rose's forehead is muddy. It is publicly announced that Agnes's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(2) ] (Agenta knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(2) ] 0 | Michael can now know whether Charlyn's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Michael",
"Agnes",
"Rose",
"Charlyn"
] | 25,118 | forehead-1 | 1 | 0.999359 | 0.000641 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Virginia'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) ] [ ! 2 ] [ ! (1|2) ] Agenta knows whether (Agentb knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! 2 ] [ ! (1|2) ] 0 | Linda can now know whether Virginia can know whether someone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Linda",
"Virginia"
] | 59,495 | forehead-1 | 1 | 0.999477 | 0.000523 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Nick's forehead is muddy. It is publicly announced that Claudine's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(1) ] (Agentc 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) ] [ ! 4 ] [ ! ~(1) ] 0 | Robert can now know whether or not everyone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Claudine",
"Mark",
"Robert",
"Nick"
] | 34,106 | forehead-1 | 1 | 0.982689 | 0.017311 |
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 George knows whether Dexter's forehead is muddy. It is publicly announced that George knows whether Dexter'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 2) ] [ ! (Agenta knows whether 2) ] Agentb knows that (Agentd 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) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] 0 | Dexter can now know that Jeremiah can know whether Jeremiah's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"George",
"Dexter",
"Robert",
"Jeremiah"
] | 60,038 | forehead_mirror-1 | 1 | 0.999271 | 0.000729 |
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 whether (Agentd 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 | Charles can now know whether Kathy can know whether someone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Peter",
"Charles",
"William",
"Kathy"
] | 60,832 | forehead_mirror-1 | 1 | 0.999335 | 0.000665 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Alfonso knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] Agenta knows whether (Agentc knows whether (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] 0 | Dustin can now know whether Raymond can know whether or not nobody's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Dustin",
"Alfonso",
"Raymond"
] | 33,478 | forehead-1 | 1 | 0.999306 | 0.000694 |
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 Serena 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) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentc knows whether (Agenta knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Bobbie can now know whether Serena can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Serena",
"Kathy",
"Bobbie",
"Don"
] | 2,011 | forehead_mirror-1 | 1 | 0.999351 | 0.000649 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Angie does not know whether Shanna is thirsty. It is publicly announced that Shanna does not know whether Herbert is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentc knows whether 1) ] (Agentc knows whether 1) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentc knows whether 1) ] 0 | Shanna can now know whether Herbert is thirsty. | internal | 0 | 4 | not_entailment | [
"Herbert",
"Roger",
"Shanna",
"Angie"
] | 50,128 | internal-0 | 0 | 0.99738 | 0.00262 |
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 Erin knows whether Evelyn's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] [ ! (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) ] [ ! (Agentb knows whether 1) ] [ ! (1&2) ] 0 | Evelyn can now know whether Erin can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Evelyn",
"Erin"
] | 54,532 | forehead_mirror-1 | 1 | 0.999199 | 0.000801 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jose knows whether Jose is thirsty. It is publicly announced that Van does not know whether Jose is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] (Agenta knows that (~(1|2))) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] 0 | Jose can now know that nobody is thirsty. | internal | 0 | 2 | not_entailment | [
"Jose",
"Van"
] | 57,681 | internal-0 | 0 | 0.999002 | 0.000998 |
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 Paul's forehead is not muddy. It is publicly announced that Donna knows whether or not nobody's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agenta knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Donna can now know that Catherine's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Donna",
"Paul",
"Catherine"
] | 16,942 | forehead_mirror-0 | 0 | 0.998254 | 0.001746 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Richard's card is shown to Richard. It is publicly announced that someone picked a red card. It is publicly announced that Richard knows whether or not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] (Agenta knows that (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] 0 | Richard can now know that nobody picked a red card. | explicit | 0 | 2 | not_entailment | [
"Richard",
"Rosemary"
] | 10,329 | explicit-0 | 0 | 0.999058 | 0.000942 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Barbara knows whether Mamie's forehead is muddy. It is publicly announced that David's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] [ ! 1 ] (Agentb knows that (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] [ ! 1 ] 0 | Michael can now know that nobody's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"David",
"Michael",
"Barbara",
"Mamie"
] | 25,269 | forehead-0 | 0 | 0.998951 | 0.001049 |
There are two 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 Frank knows whether Frank's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 1) ] (Agentb knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 1) ] 0 | Brandon can now know that everyone's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Frank",
"Brandon"
] | 6,376 | forehead-0 | 0 | 0.995353 | 0.004647 |
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 | Laura can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Dave",
"William",
"Laura"
] | 17,330 | forehead_mirror-0 | 0 | 0.984256 | 0.015744 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jerome's card is shown to Jerome. Dennis's card is shown to Jerome. Jerome's card is shown to Henry. Dennis's card is shown to Dennis. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows whether (Agentb knows that (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Dennis can now know whether Henry can know that nobody picked a red card. | explicit | 1 | 3 | entailment | [
"Jerome",
"Henry",
"Dennis"
] | 60,621 | explicit-1 | 1 | 0.999093 | 0.000907 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Hector's forehead is muddy. It is publicly announced that Hector knows whether David's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! 1 ] [ ! (Agenta knows whether 2) ] (Agentb knows whether (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! 1 ] [ ! (Agenta knows whether 2) ] 0 | David can now know whether or not everyone's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Hector",
"David"
] | 46,349 | forehead-0 | 0 | 0.502768 | 0.497232 |
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 Ken'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) ] (Agentd knows whether 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) ] 0 | Jay can now know whether James's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Ken",
"Michael",
"James",
"Jay"
] | 54,703 | forehead_mirror-1 | 1 | 0.999388 | 0.000612 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charisse's card is shown to Charles. Charles's card is shown to Charisse. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] (Agenta knows that (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] 0 | Charles can now know that nobody picked a red card. | explicit | 0 | 3 | not_entailment | [
"Charles",
"Charisse",
"Crystal"
] | 38,046 | explicit-0 | 0 | 0.998893 | 0.001107 |