premise
stringlengths 104
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| smcdel_problem
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int64 0
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sonia does not know whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentc knows whether (Agenta knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Debbie can now know whether Jeffrey can know that Jeffrey's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Jeffrey",
"Sonia",
"Debbie",
"Rosemary"
] | 17,450 | forehead-1 | 1 | 0.5227 | 0.4773 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Nancy 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|2|3))) ] Agentb knows that (Agenta knows that 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Larry can now know that Nancy can know that Nancy's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Nancy",
"Larry",
"Teresa"
] | 21,862 | forehead-0 | 0 | 0.995343 | 0.004657 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Art does not know whether David is thirsty. It is publicly announced that Santiago knows whether Santiago is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] (Agenta knows whether (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] 0 | David can now know whether or not everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"David",
"Santiago",
"Art",
"Mercedes"
] | 937 | internal-0 | 0 | 0.990237 | 0.009763 |
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 Ricardo knows whether Tim's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] (Agenta knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] 0 | Tim can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Tim",
"Ricardo",
"Ronald"
] | 60,636 | forehead_mirror-0 | 0 | 0.998696 | 0.001304 |
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 Edgar knows whether Manuel's forehead is muddy. It is publicly announced that Edgar knows whether Manuel'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) ] Agentd knows that (Agentc knows that 1) | 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 | Stephen can now know that Thomas can know that Edgar's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Edgar",
"Manuel",
"Thomas",
"Stephen"
] | 45,239 | forehead_mirror-0 | 0 | 0.998418 | 0.001582 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ira does not know whether Mary is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] Agentc 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 | Ira can now know whether Mary can know that nobody is thirsty. | internal | 1 | 3 | entailment | [
"Melanie",
"Mary",
"Ira"
] | 4,093 | internal-1 | 1 | 0.999251 | 0.000749 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David knows whether David is thirsty. It is publicly announced that Robert does not know whether David is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agentb knows whether 3) ] Agenta knows that (Agentb knows whether (~(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 3) ] [ ! ~(Agentb knows whether 3) ] 0 | Eddie can now know that Robert can know whether or not nobody is thirsty. | internal | 1 | 3 | entailment | [
"Eddie",
"Robert",
"David"
] | 5,187 | internal-1 | 1 | 0.999406 | 0.000594 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joseph's card is shown to Joan. Betty's card is shown to Robert. Joseph's card is shown to Betty. It is publicly announced that someone picked a red card. It is publicly announced that Robert knows whether or not nobody picked a red card. It is publicly announced that Joseph knows whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! (Agentb knows whether (1&2&3&4)) ] (Agenta knows that (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0 | Joan can now know that everyone picked a red card. | explicit | 0 | 4 | not_entailment | [
"Joan",
"Joseph",
"Robert",
"Betty"
] | 52,386 | explicit-0 | 0 | 0.998745 | 0.001255 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kristi's card is shown to Kristi. Donna's card is shown to Kristi. Kristi's card is shown to Donna. Donna's card is shown to Donna. Zachary's card is shown to Donna. Kristi's card is shown to Zachary. Zachary's card is shown to Zachary. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2,3 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows that (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2,3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0 | Donna can now know whether Kristi can know that nobody picked a red card. | explicit | 1 | 3 | entailment | [
"Kristi",
"Donna",
"Zachary"
] | 57,481 | explicit-1 | 1 | 0.999262 | 0.000738 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Margaret's card is shown to Stacey. Margaret's card is shown to Margaret. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] Agentb knows whether (Agenta knows that 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0 | Margaret can now know whether Stacey can know that Stacey picked a red card. | explicit | 1 | 2 | entailment | [
"Stacey",
"Margaret"
] | 25,429 | explicit-1 | 0 | 0.90655 | 1.90655 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Linda's card is shown to Angela. Maria's card is shown to Angela. Angela's card is shown to Linda. It is publicly announced that someone picked a red card. It is publicly announced that Angela does not know whether or not everyone picked a red card. It is publicly announced that Angela knows whether or not nobody picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agenta knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Angela can now know that Maria picked a red card. | explicit | 0 | 3 | entailment | [
"Angela",
"Linda",
"Maria"
] | 63,474 | explicit-1 | 0 | 0.936295 | 1.936295 |
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 Horace knows whether Horace's forehead is muddy. It is publicly announced that Horace's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! 1 ] Agenta knows that (Agentb knows that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! 1 ] 0 | Horace can now know that Mark can know that nobody's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Horace",
"Mark"
] | 27,621 | forehead_mirror-0 | 0 | 0.999025 | 0.000975 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marlon does not know whether William is thirsty. It is publicly announced that William knows whether someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentc knows that 1) | 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 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0 | William can now know that Marlon is thirsty. | internal | 0 | 4 | not_entailment | [
"Marlon",
"Frank",
"William",
"James"
] | 54,539 | internal-0 | 0 | 0.997481 | 0.002519 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Raymond does not know whether or not everyone is thirsty. It is publicly announced that Dayna knows whether Raymond is thirsty. It is publicly announced that Cecil does not know whether Dayna 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) ] Agentb knows that (Agenta knows that (~(1|2|3))) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentc knows whether 1) ] 0 | Raymond can now know that Dayna can know that nobody is thirsty. | internal | 1 | 3 | not_entailment | [
"Dayna",
"Raymond",
"Cecil"
] | 30,693 | internal-0 | 0 | 0.998996 | 0.001004 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Erma knows whether James's forehead is muddy. It is publicly announced that James knows whether Erma'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) ] [ ! (Agentc knows whether 2) ] Agentc knows whether (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) ] [ ! (Agentb knows whether 3) ] [ ! (Agentc knows whether 2) ] 0 | James can now know whether Erma can know that someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Ellen",
"Erma",
"James",
"Kayla"
] | 4,363 | forehead-1 | 1 | 0.999445 | 0.000555 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Victoria's card is shown to Victoria. Lourdes's card is shown to Barbara. Victoria's card is shown to Jenny. Jenny's card is shown to Jenny. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] (Agenta knows whether (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0 | Victoria can now know whether or not everyone picked a red card. | explicit | 0 | 4 | not_entailment | [
"Victoria",
"Barbara",
"Jenny",
"Lourdes"
] | 13,093 | explicit-0 | 0 | 0.995496 | 0.004504 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Clarence 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 (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] 0 | Clarence can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"Tomeka",
"Warren",
"Clarence",
"Julian"
] | 30,664 | internal-1 | 1 | 0.999503 | 0.000497 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Teddy's card is shown to Ronald. John's card is shown to Evelyn. Ronald's card is shown to John. Evelyn's card is shown to John. John's card is shown to John. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2,3,4 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentc knows that 1) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2,3,4 VALID? [ ! (1|2|3|4) ] 0 | Teddy can now know that Evelyn can know that Teddy picked a red card. | explicit | 1 | 4 | not_entailment | [
"Teddy",
"Ronald",
"Evelyn",
"John"
] | 58,491 | explicit-0 | 0 | 0.998298 | 0.001702 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kenneth knows whether someone's forehead is muddy. It is publicly announced that Phyllis'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)) ] [ ! 2 ] (Agentc knows that 1) | 2 | 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)) ] [ ! 2 ] 0 | Kenneth can now know that Annette's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Annette",
"Phyllis",
"Kenneth"
] | 65,890 | forehead-0 | 0 | 0.978101 | 0.021899 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Robert knows whether 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 that (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] 0 | Robert can now know that someone's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Sharon",
"Robert"
] | 49,091 | forehead-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 Irvin knows whether someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] (Agentc knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] 0 | Adam can now know that Irvin is thirsty. | internal | 0 | 4 | not_entailment | [
"Geri",
"Leonard",
"Adam",
"Irvin"
] | 56,753 | internal-0 | 0 | 0.990717 | 0.009283 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Donna's card is shown to Teresa. Donna's card is shown to Donna. Betty's card is shown to Betty. It is publicly announced that someone picked a red card. It is publicly announced that Betty knows whether Betty picked a red card. It is publicly announced that Donna picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! 2 ] (Agentb knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! 2 ] 0 | Donna can now know that nobody picked a red card. | explicit | 0 | 3 | not_entailment | [
"Teresa",
"Donna",
"Betty"
] | 12,297 | explicit-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 Cedric does not know whether Cedric's forehead is muddy. It is publicly announced that Karen does not know whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agenta knows whether (Agentd knows 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) ] [ ! ~(Agentd knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Eric can now know whether Cedric can know whether Cedric's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Eric",
"Joshua",
"Karen",
"Cedric"
] | 54,197 | forehead-1 | 1 | 0.863758 | 0.136242 |
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 Vito knows whether Gwendolyn's forehead is muddy. It is publicly announced that Vito 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) ] [ ! (Agentb knows whether 1) ] [ ! (Agentb knows whether (~(1|2|3))) ] Agentc knows that (Agenta knows that 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | Jason can now know that Gwendolyn can know that Vito's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Gwendolyn",
"Vito",
"Jason"
] | 35,818 | forehead_mirror-0 | 0 | 0.998185 | 0.001815 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ronnie knows whether or not nobody is thirsty. It is publicly announced that Helen does not know whether Ronnie is thirsty. It is publicly announced that Ronnie is thirsty. It is publicly announced that Jake 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 (~(1|2|3|4))) ] [ ! ~(Agenta knows whether 4) ] [ ! 4 ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agentd knows that (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) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] [ ! ~(Agenta knows whether 4) ] [ ! 4 ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Ronnie can now know that Helen can know that someone is thirsty. | internal | 1 | 4 | entailment | [
"Helen",
"Lee",
"Jake",
"Ronnie"
] | 30,813 | internal-1 | 1 | 0.999504 | 0.000496 |
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 Ada knows whether Ada'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) ] Agenta knows that (Agentb knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] 0 | Ada can now know that Jonathan can know that Sherry's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Ada",
"Jonathan",
"Sherry"
] | 35,116 | forehead_mirror-0 | 0 | 0.998007 | 0.001993 |
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 Lorene'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) ] (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) ] [ ! (Agentd knows whether 1) ] 0 | Jonathan can now know that Christina's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Lorene",
"Jonathan",
"Christina",
"George"
] | 24,256 | forehead_mirror-0 | 0 | 0.99805 | 0.00195 |
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) ] Agentc knows whether (Agenta knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0 | Charles can now know whether Alfredo can know whether John's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Alfredo",
"John",
"Charles",
"Cassandra"
] | 49,520 | forehead_mirror-1 | 1 | 0.99939 | 0.00061 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Barbara's card is shown to Barbara. Paula's card is shown to Barbara. Barbara's card is shown to Tameka. Paula's card is shown to Tameka. Barbara's card is shown to Paula. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows that (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Barbara can now know that everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Barbara",
"Tameka",
"Paula"
] | 24,918 | explicit-0 | 0 | 0.998988 | 0.001012 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Janet knows whether or not nobody is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agentc 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 | Raymond can now know that Raymond is thirsty. | internal | 0 | 3 | not_entailment | [
"Janet",
"Earl",
"Raymond"
] | 18,623 | internal-0 | 0 | 0.982523 | 0.017477 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ruth knows whether or not everyone's forehead is muddy. It is publicly announced that Scott does not know whether Scott'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)) ] [ ! ~(Agentc knows whether 3) ] Agentb knows whether (Agentd 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)) ] [ ! ~(Agentc knows whether 3) ] 0 | Ivory can now know whether Ruth can know whether or not everyone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Michael",
"Ivory",
"Scott",
"Ruth"
] | 66,801 | forehead-1 | 1 | 0.952165 | 0.047835 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Alice's card is shown to Alice. Kim's card is shown to Alice. Ashley's card is shown to Alice. Alice's card is shown to Kim. Ashley's card is shown to Ashley. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentc knows whether 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Alice can now know that Ashley can know whether Kim picked a red card. | explicit | 1 | 3 | not_entailment | [
"Alice",
"Kim",
"Ashley"
] | 33,682 | explicit-0 | 0 | 0.992065 | 0.007935 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Daren does not know whether Timothy is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Shanell knows whether or not nobody is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (~(1|2|3))) ] Agentb knows whether (Agenta knows that 3) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0 | Daren can now know whether Timothy can know that Shanell is thirsty. | internal | 1 | 3 | entailment | [
"Timothy",
"Daren",
"Shanell"
] | 51,996 | internal-1 | 1 | 0.980193 | 0.019807 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Emerson does not know whether Emerson's forehead is muddy. It is publicly announced that Ryan knows whether Ryan's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 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) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agenta knows whether 1) ] 0 | Emerson can now know that nobody's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Ryan",
"Emerson"
] | 40,242 | forehead-0 | 0 | 0.998993 | 0.001007 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dorothy does not know whether Darla 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) ] (Agentc knows whether 1) | 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 1) ] 0 | Robert can now know whether Darla is thirsty. | internal | 0 | 4 | not_entailment | [
"Darla",
"Leonard",
"Robert",
"Dorothy"
] | 29,730 | internal-0 | 0 | 0.995822 | 0.004178 |
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 Nancy 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))) ] Agentd knows whether (Agenta knows whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0 | Karen can now know whether Ernest can know whether Ernest's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Ernest",
"Mark",
"Nancy",
"Karen"
] | 41,509 | forehead_mirror-1 | 1 | 0.999391 | 0.000609 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that James knows whether James 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 3) ] Agentc knows whether (Agenta knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] [ ! (Agentc knows whether 3) ] 0 | James can now know whether Christopher can know that Christopher is thirsty. | internal | 1 | 3 | entailment | [
"Christopher",
"Thomas",
"James"
] | 20,773 | internal-1 | 1 | 0.97643 | 0.02357 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carol's card is shown to Calvin. Mary's card is shown to Charles. Carol's card is shown to Mary. Mary's card is shown to Carol. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:4 Agentd:3 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:4 Agentb:3 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] 0 | Charles can now know whether Carol can know whether or not nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Calvin",
"Charles",
"Mary",
"Carol"
] | 31,374 | explicit-1 | 1 | 0.999365 | 0.000635 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Gerald knows whether or not nobody's forehead is muddy. It is publicly announced that Mary's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! 2 ] (Agentc knows that 3) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! 2 ] 0 | Ruth can now know that Ruth's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Gerald",
"Mary",
"Ruth"
] | 32,001 | forehead-0 | 0 | 0.993177 | 0.006823 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ian's card is shown to Ian. Gloria's card is shown to Ian. Gloria's card is shown to Gloria. 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 Gloria does not know whether or not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] Agentb knows that (Agenta knows that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Gloria can now know that Ian can know that nobody picked a red card. | explicit | 1 | 2 | not_entailment | [
"Ian",
"Gloria"
] | 35,003 | explicit-0 | 0 | 0.998909 | 0.001091 |
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 Kelly knows whether Ada'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 2) ] Agentd knows that (Agentc knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 2) ] 0 | Richard can now know that Kelly can know that Eric's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Eric",
"Ada",
"Kelly",
"Richard"
] | 65,327 | forehead_mirror-0 | 0 | 0.998198 | 0.001802 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paul's card is shown to Robert. Robert's card is shown to Elijah. Paul's card is shown to Marian. It is publicly announced that someone picked a red card. It is publicly announced that Robert picked a red card. It is publicly announced that Robert does not know whether Elijah picked a red card. It is publicly announced that Elijah does not know whether Marian picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 4) ] Agentc knows that (Agentb knows that (1|2|3|4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 4) ] 0 | Elijah can now know that Robert can know that someone picked a red card. | explicit | 1 | 4 | entailment | [
"Paul",
"Robert",
"Elijah",
"Marian"
] | 15,353 | explicit-1 | 1 | 0.999456 | 0.000544 |
There are four 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. | 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) ] [ ! ~(2) ] (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) ] [ ! ~(2) ] 0 | Autumn can now know that someone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Autumn",
"George",
"Kristen",
"Mary"
] | 52 | forehead-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 someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] Agenta knows that (Agentc 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) ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] 0 | Daniel can now know that Vernon can know that Vernon's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Daniel",
"Susan",
"Vernon"
] | 17,432 | forehead_mirror-0 | 0 | 0.995216 | 0.004784 |
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 Mary knows whether or not everyone's forehead is muddy. It is publicly announced that Mary knows whether Betty's forehead is muddy. It is publicly announced that Mary's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! ~(1) ] Agenta knows that (Agentb knows that (1|2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! ~(1) ] 0 | Mary can now know that Betty can know that someone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Mary",
"Betty"
] | 62,046 | forehead_mirror-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 Jose is not thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] (Agentc knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] 0 | Jose can now know that Jose is thirsty. | internal | 0 | 4 | not_entailment | [
"Jennifer",
"Melissa",
"Jose",
"Mary"
] | 11,210 | internal-0 | 0 | 0.87874 | 0.12126 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] (Agentc knows that 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 | Douglas can now know that Sara's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Barbara",
"Trina",
"Douglas",
"Sara"
] | 40,263 | forehead_mirror-0 | 0 | 0.997311 | 0.002689 |
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 Joshua's forehead is muddy. It is publicly announced that Germaine knows whether someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! (Agenta knows whether (1|2)) ] Agentb knows that (Agenta knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! (Agenta knows whether (1|2)) ] 0 | Joshua can now know that Germaine can know that Germaine's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Germaine",
"Joshua"
] | 36,281 | forehead_mirror-0 | 0 | 0.990919 | 0.009081 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Andrea's card is shown to Carmen. Andrea's card is shown to Andrea. Melanie's card is shown to Andrea. John's card is shown to Andrea. Andrea's card is shown to Melanie. It is publicly announced that someone picked a red card. It is publicly announced that Carmen does not know whether Melanie picked a red card. It is publicly announced that Andrea picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,3,4 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! 2 ] (Agenta knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,3,4 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! 2 ] 0 | Carmen can now know whether John picked a red card. | explicit | 0 | 4 | not_entailment | [
"Carmen",
"Andrea",
"Melanie",
"John"
] | 3,274 | explicit-0 | 0 | 0.86986 | 0.13014 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jeffrey'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) ] [ ! 4 ] (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) ] [ ! 4 ] 0 | Danny can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Michael",
"Cindy",
"Danny",
"Jeffrey"
] | 40,740 | forehead_mirror-0 | 0 | 0.998844 | 0.001156 |
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 Cheryl 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 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] 0 | Cheryl can now know that Cheryl's forehead is muddy. | forehead_mirror | 0 | 2 | not_entailment | [
"Tara",
"Cheryl"
] | 48,760 | forehead_mirror-0 | 0 | 0.996647 | 0.003353 |
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 Valerie knows whether Valerie's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] (Agentb knows that 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] 0 | Candy can now know that Valerie's forehead is muddy. | forehead_mirror | 0 | 2 | not_entailment | [
"Valerie",
"Candy"
] | 16,134 | forehead_mirror-0 | 0 | 0.995693 | 0.004307 |
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 Joshua 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) ] [ ! (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 | Joshua can now know that Debra can know that everyone's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Debra",
"Joshua",
"Melissa"
] | 50,247 | forehead_mirror-0 | 0 | 0.998967 | 0.001033 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Carlos knows whether or not nobody's forehead is muddy. It is publicly announced that Carlos 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) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! (Agentc knows whether (1&2&3)) ] Agentc knows that (Agenta knows that 3) | 2 | 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&2&3)) ] 0 | Carlos can now know that Tony can know that Carlos's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Tony",
"Jill",
"Carlos"
] | 32,332 | forehead-0 | 0 | 0.984127 | 0.015873 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Chad is not thirsty. It is publicly announced that Ernesto knows whether Chad is thirsty. It is publicly announced that Chad does not know whether Eric 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 4) ] [ ! ~(Agentd knows whether 3) ] (Agentd knows that (1|2|3|4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! (Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] 0 | Chad can now know that someone is thirsty. | internal | 0 | 4 | entailment | [
"Ernesto",
"Mark",
"Eric",
"Chad"
] | 29,140 | internal-1 | 1 | 0.999527 | 0.000473 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ron's card is shown to Ron. Edgar's card is shown to Ron. Edgar's card is shown to Edgar. Ron's card is shown to Brenda. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Edgar can now know that Ron can know that Edgar picked a red card. | explicit | 1 | 3 | not_entailment | [
"Ron",
"Edgar",
"Brenda"
] | 28,642 | explicit-0 | 0 | 0.997086 | 0.002914 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jacob knows whether Susan's forehead is muddy. It is publicly announced that Patricia does not know whether Patricia's forehead is muddy. It is publicly announced that Teresa knows whether Susan'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) ] Agenta knows whether (Agentc knows whether 3) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 1) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agentb knows whether 1) ] 0 | Susan can now know whether Jacob can know whether Jacob's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Susan",
"Teresa",
"Jacob",
"Patricia"
] | 25,726 | forehead-0 | 1 | 0.864223 | 1.864223 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cecil does not know whether Marion is thirsty. It is publicly announced that Marion does not know whether or not everyone is thirsty. It is publicly announced that Marion does not know whether Shannon is thirsty. It is publicly announced that Marion does not know whether Shannon is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether 3) ] Agentc knows whether (Agentb knows that 1) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether 3) ] 0 | Shannon can now know whether Marion can know that Cecil is thirsty. | internal | 1 | 3 | entailment | [
"Cecil",
"Marion",
"Shannon"
] | 7,638 | internal-1 | 1 | 0.977979 | 0.022021 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rodney is thirsty. It is publicly announced that Martha 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) ] [ ! 1 ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agentd 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) ] [ ! 1 ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Barbara can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"Rodney",
"Martha",
"Jill",
"Barbara"
] | 17,230 | internal-1 | 1 | 0.99948 | 0.00052 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Randy's card is shown to Marie. Danita's card is shown to Marie. Randy's card is shown to Randy. Randy's card is shown to Danita. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] 0 | Randy can now know whether Marie can know that Danita picked a red card. | explicit | 1 | 3 | not_entailment | [
"Marie",
"Randy",
"Danita"
] | 64,164 | explicit-0 | 1 | 0.945614 | 1.945614 |
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 knows whether or not nobody's forehead is muddy. It is publicly announced that Monika'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) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! ~(4) ] (Agentd 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) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! ~(4) ] 0 | Monika can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Eric",
"Violet",
"Dorothy",
"Monika"
] | 21,993 | forehead_mirror-0 | 0 | 0.998438 | 0.001562 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether Nicholas is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Brenda is not thirsty. It is publicly announced that Nicholas knows whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! (Agentc knows whether (1&2&3&4)) ] (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 3) ] [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0 | James can now know that nobody is thirsty. | internal | 0 | 4 | not_entailment | [
"James",
"Brenda",
"Nicholas",
"Helen"
] | 2,637 | internal-0 | 0 | 0.999034 | 0.000966 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Deanna does not know whether or not everyone's forehead is muddy. It is publicly announced that Deanna knows whether Matthew'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)) ] [ ! (Agenta knows whether 4) ] Agentc knows whether (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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agenta knows whether 4) ] 0 | Nathan can now know whether Matthew can know that Nathan's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Deanna",
"Johnnie",
"Nathan",
"Matthew"
] | 28,512 | forehead-1 | 1 | 0.63266 | 0.36734 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to Lou. Lou's card is shown to William. It is publicly announced that someone picked a red card. It is publicly announced that William knows whether or not nobody picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] (Agenta knows that (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Lou can now know that nobody picked a red card. | explicit | 0 | 2 | not_entailment | [
"Lou",
"William"
] | 17,508 | explicit-0 | 0 | 0.999049 | 0.000951 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Roy's card is shown to Sarah. Sarah's card is shown to Karen. Roy's card is shown to Karen. Karen's card is shown to Roy. Roy's card is shown to Roy. It is publicly announced that someone picked a red card. It is publicly announced that Sarah does not know whether or not everyone picked a red card. It is publicly announced that Roy picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! 4 ] Agentc knows that (Agenta knows whether (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! 4 ] 0 | Karen can now know that Sarah can know whether or not everyone picked a red card. | explicit | 1 | 4 | not_entailment | [
"Sarah",
"Robert",
"Karen",
"Roy"
] | 45,344 | explicit-0 | 1 | 0.731507 | 1.731507 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Richard does not know whether Richard's forehead is muddy. It is publicly announced that Leandra'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) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(4) ] (Agentd knows whether (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(4) ] 0 | Leandra can now know whether or not nobody's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Richard",
"Carrie",
"Gary",
"Leandra"
] | 65,404 | forehead-1 | 1 | 0.999444 | 0.000556 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Lindsey knows whether Thelma's forehead is muddy. It is publicly announced that Edith's forehead is not muddy. It is publicly announced that Lindsey knows whether Lindsey'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) ] [ ! ~(4) ] [ ! (Agenta knows whether 1) ] Agentc knows whether (Agenta knows that (~(1|2|3|4))) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 3) ] [ ! ~(4) ] [ ! (Agenta knows whether 1) ] 0 | Thelma can now know whether Lindsey can know that nobody's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Lindsey",
"Brenda",
"Thelma",
"Edith"
] | 20,246 | forehead-1 | 1 | 0.999344 | 0.000656 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that William's forehead is not muddy. It is publicly announced that Elizabeth'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) ] [ ! ~(2) ] [ ! ~(1) ] Agenta knows that (Agentc knows whether 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! ~(1) ] 0 | Elizabeth can now know that Ruby can know whether William's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Elizabeth",
"William",
"Ruby"
] | 21,124 | forehead_mirror-1 | 1 | 0.999438 | 0.000562 |
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 Michelle knows whether Michelle'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 3) ] (Agentb knows that 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] 0 | John can now know that Mimi's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Mimi",
"John",
"Michelle"
] | 56,321 | forehead_mirror-0 | 0 | 0.998012 | 0.001988 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Tabatha does not know whether or not everyone's forehead is muddy. It is publicly announced that Tabatha 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) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agentb knows whether (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Tabatha can now know whether someone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Hector",
"Tabatha",
"Darren",
"Carlos"
] | 8,356 | forehead-1 | 1 | 0.99946 | 0.00054 |
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 Lou. Thomas's card is shown to Thomas. Jennifer's card is shown to William. Lou's card is shown to Jennifer. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:4 Agentd:1 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows that (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:4 Agentd:1 VALID? [ ! (1|2|3|4) ] 0 | William can now know that Thomas can know that someone picked a red card. | explicit | 1 | 4 | entailment | [
"Lou",
"Thomas",
"William",
"Jennifer"
] | 13,736 | explicit-1 | 1 | 0.999361 | 0.000639 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Tamika does not know whether or not everyone's forehead is muddy. It is publicly announced that Christine knows whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (1&2)) ] Agentb knows that (Agenta knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (1&2)) ] 0 | Christine can now know that Tamika can know that Tamika's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Tamika",
"Christine"
] | 65,881 | forehead-0 | 0 | 0.576462 | 0.423538 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Enola is thirsty. It is publicly announced that Juan knows whether Juan is thirsty. It is publicly announced that Enola 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 ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agentb knows whether (1|2|3|4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Enola can now know whether someone is thirsty. | internal | 0 | 4 | entailment | [
"Juan",
"Enola",
"Sean",
"Albert"
] | 21,172 | internal-1 | 1 | 0.999501 | 0.000499 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Val does not know whether Val's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] [ ! (~(1&2&3)) ] 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) ] [ ! ~(Agentb knows whether 2) ] [ ! (~(1&2&3)) ] 0 | David can now know that Rhonda can know that someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Rhonda",
"Val",
"David"
] | 49,937 | forehead-1 | 1 | 0.999305 | 0.000695 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Luke's card is shown to Luke. Carolyn's card is shown to Luke. Gary's card is shown to Luke. Karen's card is shown to Karen. Carolyn's card is shown to Carolyn. Karen's card is shown to Gary. It is publicly announced that someone picked a red card. It is publicly announced that Karen does not know whether Gary picked a red card. It is publicly announced that Luke knows whether Carolyn picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:2 Agentc:3 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agenta knows whether 3) ] Agentc knows whether (Agentb knows whether 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:2 Agentc:3 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agenta knows whether 3) ] 0 | Carolyn can now know whether Karen can know whether Carolyn picked a red card. | explicit | 1 | 4 | entailment | [
"Luke",
"Karen",
"Carolyn",
"Gary"
] | 28,567 | explicit-1 | 1 | 0.99855 | 0.00145 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kathleen does not know whether or not everyone's forehead is muddy. 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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (~(1&2&3&4)) ] (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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (~(1&2&3&4)) ] 0 | Kathleen can now know whether or not nobody's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Kathleen",
"Stephen",
"Olivia",
"Charles"
] | 31,652 | forehead-1 | 1 | 0.999331 | 0.000669 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Patricia's forehead is not muddy. It is publicly announced that Patricia knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2|3)) ] (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) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2|3)) ] 0 | Peter can now know whether or not nobody's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Becky",
"Patricia",
"Peter"
] | 25,709 | forehead-1 | 1 | 0.999455 | 0.000545 |
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 Vanessa knows whether or not nobody's forehead is muddy. It is publicly announced that Thomas'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) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! ~(3) ] (Agenta 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) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! ~(3) ] 0 | Vanessa can now know whether Thomas's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Vanessa",
"Tammy",
"Thomas"
] | 35,515 | forehead_mirror-1 | 1 | 0.999462 | 0.000538 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] Agentd knows that (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) ] [ ! (1&2&3&4) ] 0 | Karen can now know that Jeffrey can know whether Latisha is thirsty. | internal | 1 | 4 | entailment | [
"Jeffrey",
"Thomas",
"Latisha",
"Karen"
] | 52,202 | internal-1 | 1 | 0.996414 | 0.003586 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Teresa does not know whether or not everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sarah knows whether Jeff'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 3) ] (Agenta knows whether 4) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] [ ! (Agentb knows whether 3) ] 0 | Vincent can now know whether Teresa's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Vincent",
"Sarah",
"Jeff",
"Teresa"
] | 22,961 | forehead-1 | 1 | 0.999216 | 0.000784 |
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 Cynthia knows whether someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] (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) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Cynthia can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Dwayne",
"Cynthia",
"Robert",
"Thomas"
] | 42,134 | forehead_mirror-0 | 0 | 0.998985 | 0.001015 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rachel does not know whether Rachel's forehead is muddy. It is publicly announced that Aaron knows whether or not everyone'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)) ] Agenta knows that (Agentb knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (1&2)) ] 0 | Rachel can now know that Aaron can know that Rachel's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Rachel",
"Aaron"
] | 37,794 | forehead-0 | 0 | 0.918344 | 0.081656 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Samuel's card is shown to Elizabeth. Samuel's card is shown to John. Elizabeth's card is shown to Robert. John's card is shown to Robert. Samuel's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Elizabeth does not know whether Robert picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] (Agenta knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0 | Elizabeth can now know that Elizabeth picked a red card. | explicit | 0 | 4 | not_entailment | [
"Elizabeth",
"John",
"Samuel",
"Robert"
] | 2,414 | explicit-0 | 0 | 0.993016 | 0.006984 |
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)) ] (Agenta knows whether 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 | Antonio can now know whether Anthony's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Antonio",
"Michael",
"Anthony"
] | 63,621 | forehead-1 | 1 | 0.999271 | 0.000729 |
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 Tamara 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) ] [ ! (Agentc knows whether (1&2&3)) ] Agenta knows that (Agentb knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] 0 | Sylvester can now know that Patricia can know that everyone's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Sylvester",
"Patricia",
"Tamara"
] | 17,150 | forehead_mirror-0 | 0 | 0.998767 | 0.001233 |
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 Iris knows whether Iris's forehead is muddy. It is publicly announced that Edward knows whether Carmelo's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! (Agentc knows whether 1) ] Agentc knows whether (Agentb knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! (Agentc knows whether 1) ] 0 | Edward can now know whether Iris can know that Carmelo's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Carmelo",
"Iris",
"Edward"
] | 6,991 | forehead_mirror-1 | 1 | 0.999465 | 0.000535 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kathleen does not know whether Kathleen'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 that (Agentb knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] 0 | Kathleen can now know that Keisha can know that June's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Kathleen",
"Keisha",
"June",
"Della"
] | 21,123 | forehead-0 | 0 | 0.99762 | 0.00238 |
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 Kathy does not know whether Daniel 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) ] (Agentd 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) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] [ ! (1|2|3|4) ] 0 | Kathy can now know that Daniel is thirsty. | internal | 0 | 4 | not_entailment | [
"James",
"Anna",
"Daniel",
"Kathy"
] | 30,100 | internal-0 | 0 | 0.997722 | 0.002278 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kristin's card is shown to Suzanne. Ralph's card is shown to Isaac. Suzanne's card is shown to Isaac. Isaac's card is shown to Isaac. Kristin's card is shown to Isaac. Suzanne's card is shown to Kristin. Kristin's card is shown to Kristin. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2,3,4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentc knows that 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2,3,4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] 0 | Suzanne can now know whether Isaac can know that Kristin picked a red card. | explicit | 1 | 4 | entailment | [
"Ralph",
"Suzanne",
"Isaac",
"Kristin"
] | 42,507 | explicit-1 | 1 | 0.916986 | 0.083014 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sybil's card is shown to Sybil. Audrey's card is shown to Crystal. Crystal's card is shown to Audrey. It is publicly announced that someone picked a red card. It is publicly announced that Sybil does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentc knows whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Franklin can now know whether Sybil picked a red card. | explicit | 0 | 4 | entailment | [
"Sybil",
"Crystal",
"Franklin",
"Audrey"
] | 60,661 | explicit-1 | 1 | 0.947405 | 0.052595 |
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 Aimee knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] (Agenta knows 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 (1|2|3)) ] 0 | William can now know that Aimee's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"William",
"Elsa",
"Aimee"
] | 13,871 | forehead_mirror-0 | 0 | 0.997804 | 0.002196 |
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 not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] Agentc knows that (Agenta knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] 0 | Kendra can now know that Steven can know that Kendra's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Steven",
"Catherine",
"Kendra"
] | 12,945 | forehead_mirror-0 | 0 | 0.993901 | 0.006099 |
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 Jesus's forehead is muddy. It is publicly announced that Sandra 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 4) ] [ ! (Agenta knows whether (1&2&3&4)) ] (Agentc knows whether (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Michael can now know whether or not nobody's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Sandra",
"Janette",
"Michael",
"Jesus"
] | 49,574 | forehead_mirror-1 | 1 | 0.999266 | 0.000734 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Betty knows whether Betty is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] Agentc knows whether (Agenta knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] 0 | Doreen can now know whether Betty can know whether Doreen is thirsty. | internal | 1 | 3 | entailment | [
"Betty",
"Kerry",
"Doreen"
] | 64,789 | internal-1 | 1 | 0.998652 | 0.001348 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John knows whether 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) ] [ ! (Agentb knows whether 2) ] (Agenta 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 | Gwendolyn can now know whether or not nobody's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Gwendolyn",
"John",
"Hazel",
"Donald"
] | 51,507 | forehead-1 | 1 | 0.999413 | 0.000587 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anna's card is shown to Dallas. Robert's card is shown to Dallas. Dallas's card is shown to Anna. Dallas's card is shown to Robert. Anna's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that Anna does not know whether Anna picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] (Agentb knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] 0 | Anna can now know whether or not everyone picked a red card. | explicit | 0 | 4 | not_entailment | [
"Dallas",
"Anna",
"Robert",
"Christopher"
] | 30,250 | explicit-0 | 0 | 0.991558 | 0.008442 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] (Agenta knows that (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 | Coleen can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Coleen",
"Jonathan",
"Joseph",
"Wesley"
] | 17,520 | forehead_mirror-0 | 0 | 0.998935 | 0.001065 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). George's card is shown to George. Glen's card is shown to Glen. George's card is shown to Hilton. Glen's card is shown to Hilton. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] (Agentc knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Hilton can now know that Hilton picked a red card. | explicit | 0 | 3 | not_entailment | [
"George",
"Glen",
"Hilton"
] | 41,197 | explicit-0 | 0 | 0.993839 | 0.006161 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rebecca knows whether Henriette'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) ] Agentd knows whether (Agentc knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] 0 | Henriette can now know whether Rebecca can know that Rebecca's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"David",
"Juan",
"Rebecca",
"Henriette"
] | 61,638 | forehead-0 | 0 | 0.98768 | 0.01232 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Gregory's forehead is not muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] Agentc knows whether (Agenta knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] 0 | Amy can now know whether Ronald can know whether Amy's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Ronald",
"Gregory",
"Amy"
] | 44,672 | forehead-1 | 1 | 0.998569 | 0.001431 |