premise
stringlengths 104
712
| smcdel_problem
stringlengths 72
285
| n_announcements
int64 0
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| pbcheck
stringlengths 52
245
| hypothesis
stringlengths 37
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stringclasses 4
values | hypothesis_depth
int64 0
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int64 2
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| label
stringclasses 2
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sequencelengths 2
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| index
int64 1
67.7k
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values | deberta_pred
int64 0
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float64 0.5
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float64 0
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Joseph knows whether or not everyone's forehead is muddy. It is publicly announced that Joseph knows whether Frankie's forehead is muddy. It is publicly announced that Joseph'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) ] Agentb knows whether (Agenta knows whether (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 | Frankie can now know whether Joseph can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Joseph",
"Frankie"
] | 44,358 | forehead_mirror-1 | 1 | 0.999638 | 0.000362 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kellie knows whether someone is thirsty. It is publicly announced that Kellie does not know whether Larry is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! ~(Agentb knows whether 1) ] Agenta knows that (Agentb knows that (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 1) ] 0 | Larry can now know that Kellie can know that someone is thirsty. | internal | 1 | 2 | entailment | [
"Larry",
"Kellie"
] | 67,092 | internal-1 | 1 | 0.999784 | 0.000216 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Patricia's card is shown to Amber. Amber's card is shown to Brenda. Brenda's card is shown to Brenda. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] (Agentb knows that (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] 0 | Brenda can now know that someone picked a red card. | explicit | 0 | 3 | entailment | [
"Amber",
"Brenda",
"Patricia"
] | 67,213 | explicit-1 | 1 | 0.999774 | 0.000226 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jennifer does not know whether Patricia 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) ] [ ! ~(Agentd knows whether 1) ] [ ! 2 ] (Agentb knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! 2 ] 0 | Benjamin can now know whether Jennifer is thirsty. | internal | 0 | 4 | not_entailment | [
"Patricia",
"Benjamin",
"Daniel",
"Jennifer"
] | 11,829 | internal-0 | 0 | 0.969954 | 0.030046 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Thomas does not know whether William is thirsty. It is publicly announced that Doris is thirsty. It is publicly announced that William is thirsty. It is publicly announced that Doris is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! 1 ] [ ! 2 ] [ ! 1 ] Agenta knows whether (Agentc knows whether (1|2|3)) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! 1 ] [ ! 2 ] [ ! 1 ] 0 | Doris can now know whether Thomas can know whether someone is thirsty. | internal | 1 | 3 | entailment | [
"Doris",
"William",
"Thomas"
] | 51,654 | internal-1 | 1 | 0.999775 | 0.000225 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tricia does not know whether Mildred is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] Agentb knows that (Agentd 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) ] [ ! ~(Agenta knows whether 4) ] 0 | Harry can now know that Mildred can know whether Virginia is thirsty. | internal | 1 | 4 | not_entailment | [
"Tricia",
"Harry",
"Virginia",
"Mildred"
] | 22,722 | internal-0 | 0 | 0.996952 | 0.003048 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. David's card is shown to Richard. Richard's card is shown to Richard. Richard's card is shown to Susie. Catherine's card is shown to Susie. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentc knows whether 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3|4) ] 0 | Richard can now know whether Catherine can know whether Richard picked a red card. | explicit | 1 | 4 | entailment | [
"David",
"Richard",
"Catherine",
"Susie"
] | 27,344 | explicit-1 | 1 | 0.997863 | 0.002137 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cara's card is shown to Vasiliki. Cara's card is shown to Conrad. Jennifer's card is shown to Conrad. Vasiliki's card is shown to Cara. It is publicly announced that someone picked a red card. It is publicly announced that Vasiliki knows whether someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] (Agentc knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0 | Cara can now know whether Conrad picked a red card. | explicit | 0 | 4 | not_entailment | [
"Vasiliki",
"Conrad",
"Cara",
"Jennifer"
] | 40,244 | explicit-0 | 0 | 0.966237 | 0.033763 |
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 Lester. Lester's card is shown to Nathan. Robert's card is shown to Nathan. Nathan's card is shown to Karen. Lester's card is shown to Robert. Karen's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Robert does not know whether Robert picked a red card. It is publicly announced that Lester knows whether or not nobody picked a red card. It is publicly announced that Karen picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 Agentc:2 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] [ ! ~(3) ] Agentc knows that (Agenta knows whether (1&2&3&4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 Agentc:2 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] [ ! ~(3) ] 0 | Karen can now know that Lester can know whether or not everyone picked a red card. | explicit | 1 | 4 | entailment | [
"Lester",
"Nathan",
"Karen",
"Robert"
] | 51,097 | explicit-1 | 0 | 0.661168 | 1.661168 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rachel's card is shown to Rachel. Patrica's card is shown to Stephen. Rachel's card is shown to Larry. Stephen's card is shown to Patrica. It is publicly announced that someone picked a red card. It is publicly announced that Rachel does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:1 Agentd:2 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:4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Rachel can now know whether or not nobody picked a red card. | explicit | 0 | 4 | entailment | [
"Rachel",
"Stephen",
"Larry",
"Patrica"
] | 53,867 | explicit-1 | 1 | 0.999701 | 0.000299 |
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 Justin knows whether Justin'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 whether (Agenta 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 | Jim can now know whether Justin can know that Justin's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Justin",
"Jim"
] | 1,946 | forehead_mirror-1 | 1 | 0.999698 | 0.000302 |
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 Christopher knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] Agentb knows whether (Agentc knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] 0 | Ruth can now know whether Jenna can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Christopher",
"Ruth",
"Jenna"
] | 56,539 | forehead_mirror-1 | 1 | 0.999705 | 0.000295 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Laura does not know whether James is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] Agentc knows that (Agenta knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] 0 | Laura can now know that James can know whether James is thirsty. | internal | 1 | 3 | entailment | [
"James",
"Robin",
"Laura"
] | 24,568 | internal-1 | 1 | 0.996456 | 0.003544 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to Nathaniel. Robert's card is shown to Nathaniel. Nathaniel's card is shown to John. Nathaniel's card is shown to Robert. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] (Agentb knows whether (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0 | John can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"Nathaniel",
"John",
"Robert"
] | 29,032 | explicit-1 | 1 | 0.999726 | 0.000274 |
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 Carolyn knows whether or not nobody's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (1|2) ] Agenta knows that (Agentb knows that 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (1|2) ] 0 | Freda can now know that Carolyn can know that Carolyn's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Freda",
"Carolyn"
] | 24,972 | forehead_mirror-0 | 0 | 0.997274 | 0.002726 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentd knows that 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] 0 | Shannon can now know whether Jason can know that Jason's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Shannon",
"Thomas",
"Martin",
"Jason"
] | 52,251 | forehead-0 | 0 | 0.864453 | 0.135547 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dorothy's card is shown to Dorothy. Salvatore's card is shown to Salvatore. It is publicly announced that someone picked a red card. It is publicly announced that Dorothy does not know whether or not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] Agentb knows whether (Agenta knows whether (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0 | Salvatore can now know whether Dorothy can know whether or not everyone picked a red card. | explicit | 1 | 2 | entailment | [
"Dorothy",
"Salvatore"
] | 2,077 | explicit-1 | 1 | 0.968916 | 0.031084 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Angel's card is shown to Angel. Warren's card is shown to Angel. Warren's card is shown to Warren. Angel's card is shown to Alexandria. Warren's card is shown to Alexandria. Alexandria's card is shown to Alexandria. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] (Agentb knows whether (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0 | Warren can now know whether or not everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Angel",
"Warren",
"Alexandria"
] | 43,096 | explicit-0 | 0 | 0.987903 | 0.012097 |
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 James knows whether James's forehead is muddy. It is publicly announced that James'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) ] [ ! (Agenta knows whether 1) ] [ ! ~(1) ] Agenta knows that (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) ] [ ! (Agenta knows whether 1) ] [ ! ~(1) ] 0 | James can now know that Nilda can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"James",
"Victor",
"Nilda",
"Ronald"
] | 24,614 | forehead_mirror-1 | 1 | 0.999644 | 0.000356 |
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 Carole 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|2|3))) ] Agenta knows whether (Agentc 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) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | Karen can now know whether Andrew can know whether Carole's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Karen",
"Carole",
"Andrew"
] | 42,968 | forehead_mirror-1 | 1 | 0.999721 | 0.000279 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mark knows whether someone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] (Agentb knows that 1) | 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 | Margaret can now know that Mark is thirsty. | internal | 0 | 3 | not_entailment | [
"Mark",
"Margaret",
"Eduardo"
] | 18,327 | internal-0 | 0 | 0.998531 | 0.001469 |
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 (Agentb 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 | Lori can now know that Marie can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Petra",
"Marie",
"Lori",
"Maria"
] | 54,900 | forehead_mirror-0 | 0 | 0.998343 | 0.001657 |
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 does not know whether Gary's forehead is muddy. It is publicly announced that Irving knows whether Jolanda's forehead is muddy. It is publicly announced that Gary does not know whether Gary'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) ] [ ! (Agentb knows whether 4) ] [ ! ~(Agenta knows whether 1) ] Agentd knows that (Agentb knows whether 2) | 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 1) ] [ ! (Agentb knows whether 4) ] [ ! ~(Agenta knows whether 1) ] 0 | Jolanda can now know that Irving can know whether Irving's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Gary",
"Irving",
"Tyrone",
"Jolanda"
] | 45,643 | forehead-0 | 0 | 0.938722 | 0.061278 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Junior's card is shown to Junior. Sharon's card is shown to Junior. Jacqueline's card is shown to Junior. Junior's card is shown to Sharon. Sharon's card is shown to Sharon. Jacqueline's card is shown to Jacqueline. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:2,3 Agentc:4 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agentb knows whether (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:2,3 Agentc:4 VALID? [ ! (1|2|3|4) ] 0 | Sharon can now know whether Junior can know whether or not nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Brenda",
"Junior",
"Sharon",
"Jacqueline"
] | 12,509 | explicit-1 | 1 | 0.999707 | 0.000293 |
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 Ruth. Randall's card is shown to Burton. It is publicly announced that someone picked a red card. It is publicly announced that Ruth does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentb knows whether (Agenta knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Burton can now know whether Ruth can know that Burton picked a red card. | explicit | 1 | 3 | entailment | [
"Ruth",
"Burton",
"Randall"
] | 35,597 | explicit-1 | 1 | 0.954188 | 0.045812 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Craig's card is shown to Angela. Craig's card is shown to Craig. Angela's card is shown to Clare. Clare's card is shown to Clare. It is publicly announced that someone picked a red card. It is publicly announced that Craig does not know whether Angela picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] Agentc knows that (Agenta knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] 0 | Clare can now know that Angela can know that everyone picked a red card. | explicit | 1 | 3 | not_entailment | [
"Angela",
"Craig",
"Clare"
] | 51,142 | explicit-0 | 0 | 0.998202 | 0.001798 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Elizabeth does not know whether or not everyone's forehead is muddy. It is publicly announced that Elizabeth knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|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) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0 | Evelyn can now know whether or not everyone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Bruce",
"Stefanie",
"Elizabeth",
"Evelyn"
] | 32,591 | forehead-1 | 1 | 0.968259 | 0.031741 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Robert. Kathy's card is shown to Robert. Monique's card is shown to Robert. Robert's card is shown to Kathy. Kathy's card is shown to Kathy. Monique's card is shown to Kathy. Kathy's card is shown to Monique. Monique's card is shown to Monique. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] (Agenta knows whether (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] 0 | Robert can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"Robert",
"Kathy",
"Monique"
] | 62,793 | explicit-1 | 1 | 0.999726 | 0.000274 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Louise does not know whether Louise's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] (Agentb knows that 2) | 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 2) ] 0 | Louise can now know that Louise's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Lorena",
"Louise",
"Kenneth"
] | 2,887 | forehead-0 | 0 | 0.993883 | 0.006117 |
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 Cynthia's forehead is muddy. It is publicly announced that Myrna knows whether Cynthia'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 2) ] [ ! (Agenta knows whether 2) ] Agentd knows that (Agentc knows that 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] [ ! (Agenta knows whether 2) ] 0 | Jack can now know that Elizabeth can know that Jack's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Myrna",
"Cynthia",
"Elizabeth",
"Jack"
] | 1,650 | forehead_mirror-0 | 0 | 0.998003 | 0.001997 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Nancy'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) ] Agentd 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) ] [ ! ~(2) ] 0 | Glennie can now know that Kirk can know that someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Kirk",
"Nancy",
"Timothy",
"Glennie"
] | 59,642 | forehead-1 | 1 | 0.99978 | 0.00022 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that William does not know whether William's forehead is muddy. It is publicly announced that Patricia'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) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(4) ] Agenta knows whether (Agentb knows whether 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(4) ] 0 | Gay can now know whether William can know whether William's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Gay",
"William",
"Alfred",
"Patricia"
] | 37,872 | forehead-1 | 1 | 0.930994 | 0.069006 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Aaron's card is shown to Cheryl. Cheryl's card is shown to Aaron. Todd's card is shown to Aaron. Todd's card is shown to Todd. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentc knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Cheryl can now know that Todd can know that Todd picked a red card. | explicit | 1 | 3 | not_entailment | [
"Cheryl",
"Aaron",
"Todd"
] | 43,098 | explicit-0 | 0 | 0.982048 | 0.017952 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elizabeth's card is shown to Elizabeth. Evan's card is shown to Evan. Evan's card is shown to Joy. It is publicly announced that someone picked a red card. It is publicly announced that Evan does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentb knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Evan can now know that nobody picked a red card. | explicit | 0 | 3 | not_entailment | [
"Elizabeth",
"Evan",
"Joy"
] | 9,838 | explicit-0 | 0 | 0.99797 | 0.00203 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charles's card is shown to Herman. Charles's card is shown to Charles. Judith's card is shown to Judith. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agentb knows whether (Agenta knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0 | Charles can now know whether Herman can know whether someone picked a red card. | explicit | 1 | 3 | entailment | [
"Herman",
"Charles",
"Judith"
] | 21,738 | explicit-1 | 1 | 0.999775 | 0.000225 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeffrey's card is shown to Jeffrey. Jessica's card is shown to Jeffrey. Jessica's card is shown to Spencer. Jessica's card is shown to Elizabeth. Elizabeth's card is shown to Jessica. Jessica's card is shown to Jessica. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 Agentc:4 Agentd:3,4 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agentc knows whether (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 Agentc:4 Agentd:3,4 VALID? [ ! (1|2|3|4) ] 0 | Jessica can now know whether Elizabeth can know whether or not everyone picked a red card. | explicit | 1 | 4 | entailment | [
"Jeffrey",
"Spencer",
"Elizabeth",
"Jessica"
] | 3,054 | explicit-1 | 0 | 0.838637 | 1.838637 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeffery's card is shown to Mary. Mary's card is shown to Jeffery. Jeffery's card is shown to Jeffery. Sheldon's card is shown to Jeffery. Mary's card is shown to Sheldon. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows whether (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Mary can now know whether someone picked a red card. | explicit | 0 | 3 | entailment | [
"Mary",
"Jeffery",
"Sheldon"
] | 19,160 | explicit-1 | 1 | 0.999774 | 0.000226 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to James. James's card is shown to Maria. Maria's card is shown to Maria. It is publicly announced that someone picked a red card. It is publicly announced that Maria knows whether or not nobody picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] Agentb knows that (Agenta knows whether (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Maria can now know that James can know whether or not nobody picked a red card. | explicit | 1 | 2 | entailment | [
"James",
"Maria"
] | 51,269 | explicit-1 | 1 | 0.999698 | 0.000302 |
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 Patty does not know whether Christopher is thirsty. It is publicly announced that Christopher 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 2) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agentb knows that 1) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | Christopher can now know that Michael is thirsty. | internal | 0 | 3 | not_entailment | [
"Michael",
"Christopher",
"Patty"
] | 37,229 | internal-0 | 0 | 0.996297 | 0.003703 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cindy's card is shown to Joshua. Joshua's card is shown to Joshua. Mitchell's card is shown to Mitchell. It is publicly announced that someone picked a red card. It is publicly announced that Joshua picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] [ ! 2 ] (Agentb knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] [ ! 2 ] 0 | Joshua can now know that Joshua picked a red card. | explicit | 0 | 3 | entailment | [
"Cindy",
"Joshua",
"Mitchell"
] | 15,778 | explicit-1 | 1 | 0.919547 | 0.080453 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lisa's card is shown to Shannon. Cody's card is shown to Shannon. Mariann's card is shown to Lisa. Shannon's card is shown to Cody. Cody's card is shown to Mariann. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:1 Agentd:3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agenta knows whether (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:1 Agentd:3 VALID? [ ! (1|2|3|4) ] 0 | Lisa can now know whether Shannon can know whether or not nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Shannon",
"Lisa",
"Cody",
"Mariann"
] | 18,373 | explicit-1 | 1 | 0.999711 | 0.000289 |
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 Vernon's forehead is not muddy. It is publicly announced that Anne 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) ] [ ! ~(3) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentc knows that (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) ] [ ! ~(3) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Vernon can now know that Douglas can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Anne",
"Judith",
"Vernon",
"Douglas"
] | 66,887 | forehead_mirror-0 | 0 | 0.998324 | 0.001676 |
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 Lauren knows whether Lauren's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! (~(1&2&3&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) ] [ ! (Agenta knows whether 1) ] [ ! (~(1&2&3&4)) ] 0 | Carl can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Lauren",
"Denise",
"Austin",
"Carl"
] | 57,196 | forehead_mirror-0 | 0 | 0.998326 | 0.001674 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that William does not know whether William'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) ] Agenta knows whether (Agentc 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 2) ] 0 | Dale can now know whether Ashley can know whether Ashley's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Dale",
"William",
"Ashley"
] | 9,324 | forehead-0 | 0 | 0.913892 | 0.086108 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Krista's card is shown to Gene. Krista's card is shown to Anna. Thomas's card is shown to Krista. Gene's card is shown to Thomas. Krista's card is shown to Thomas. It is publicly announced that someone picked a red card. It is publicly announced that Anna does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentd knows that (Agenta knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Thomas can now know that Gene can know whether Krista picked a red card. | explicit | 1 | 4 | entailment | [
"Gene",
"Anna",
"Krista",
"Thomas"
] | 17,010 | explicit-1 | 1 | 0.848894 | 0.151106 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marlene does not know whether Elizabeth is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] Agentb knows that (Agenta knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0 | Zaida can now know that Marlene can know whether Zaida is thirsty. | internal | 1 | 4 | not_entailment | [
"Marlene",
"Zaida",
"Mary",
"Elizabeth"
] | 42,614 | internal-0 | 0 | 0.997176 | 0.002824 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jonathan's card is shown to Sherry. Jonathan's card is shown to David. Alice's card is shown to David. David's card is shown to David. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2,4 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2,4 VALID? [ ! (1|2|3|4) ] 0 | Alice can now know whether Alice picked a red card. | explicit | 0 | 4 | entailment | [
"Jonathan",
"Alice",
"Sherry",
"David"
] | 10,648 | explicit-1 | 0 | 0.727694 | 1.727694 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows that (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Victor can now know that Jose can know that everyone's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Gary",
"Jose",
"Victor"
] | 11,378 | forehead-0 | 0 | 0.998389 | 0.001611 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mike knows whether someone is thirsty. It is publicly announced that Mike knows whether Mike 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)) ] [ ! (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) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (Agentc knows whether 3) ] 0 | Mike can now know whether Elizabeth can know that Elizabeth is thirsty. | internal | 1 | 3 | not_entailment | [
"Elizabeth",
"Bryan",
"Mike"
] | 18,581 | internal-0 | 1 | 0.576421 | 1.576421 |
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 whether (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Mary can now know whether or not nobody's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Vicki",
"George",
"Mary"
] | 11,408 | forehead_mirror-1 | 1 | 0.999762 | 0.000238 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that James does not know whether or not everyone's forehead is muddy. It is publicly announced that Lisa'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)) ] [ ! 4 ] (Agentc knows that 1) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! 4 ] 0 | Gerri can now know that Albert's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Albert",
"James",
"Gerri",
"Lisa"
] | 1,807 | forehead-1 | 1 | 0.720837 | 0.279163 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Olive's card is shown to Olive. Jospeh's card is shown to Olive. Olive's card is shown to Mattie. Jospeh's card is shown to Mattie. Jospeh's card is shown to Jospeh. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows that (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Jospeh can now know that Mattie can know that nobody picked a red card. | explicit | 1 | 3 | not_entailment | [
"Olive",
"Mattie",
"Jospeh"
] | 13,581 | explicit-0 | 0 | 0.998434 | 0.001566 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Stephen's card is shown to Stephen. Stephen's card is shown to Rachel. Rachel's card is shown to Rachel. It is publicly announced that someone picked a red card. It is publicly announced that Stephen does not know whether Rachel picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows that (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0 | Stephen can now know that someone picked a red card. | explicit | 0 | 3 | entailment | [
"Stephen",
"Rachel",
"Carolyn"
] | 13,603 | explicit-1 | 1 | 0.999776 | 0.000224 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kristine knows whether Michael'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 2) ] Agenta knows that (Agentc 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) ] [ ! (Agenta knows whether 2) ] 0 | Kristine can now know that Christopher can know whether Christopher's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Kristine",
"Michael",
"Christopher"
] | 35,007 | forehead-0 | 0 | 0.986265 | 0.013735 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Daniel knows whether or not everyone is thirsty. It is publicly announced that Kris knows whether Kris is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agenta knows whether 1) ] (Agenta knows whether 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agenta knows whether 1) ] 0 | Kris can now know whether Kris is thirsty. | internal | 0 | 2 | entailment | [
"Kris",
"Daniel"
] | 65,959 | internal-1 | 1 | 0.998995 | 0.001005 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] (Agenta knows that 2) | 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 | Nancy can now know that Walter is thirsty. | internal | 0 | 4 | entailment | [
"Nancy",
"Walter",
"Carol",
"Joel"
] | 22,248 | internal-1 | 1 | 0.997725 | 0.002275 |
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 Keith knows whether Keith'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) ] 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) ] [ ! (Agenta knows whether 1) ] 0 | Diana can now know whether Annette can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Keith",
"Annette",
"Madeline",
"Diana"
] | 65,897 | forehead_mirror-1 | 1 | 0.999705 | 0.000295 |
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 Steven's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! (~(1&2&3&4)) ] Agentd knows whether (Agentb 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) ] [ ! 1 ] [ ! (~(1&2&3&4)) ] 0 | Troy can now know whether Maria can know whether someone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Steven",
"Maria",
"Clifford",
"Troy"
] | 44,357 | forehead_mirror-1 | 1 | 0.999777 | 0.000223 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maggie does not know whether Lori is thirsty. It is publicly announced that Stephanie does not know whether Lori is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] Agentc knows whether (Agentb knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] 0 | Lori can now know whether Maggie can know whether Stephanie is thirsty. | internal | 1 | 4 | entailment | [
"Birdie",
"Maggie",
"Lori",
"Stephanie"
] | 36,518 | internal-1 | 1 | 0.998558 | 0.001442 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Manuel'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 ] Agenta knows whether (Agentc knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] 0 | Manuel can now know whether Tommie can know whether Joy's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Manuel",
"Wilma",
"Tommie",
"Joy"
] | 27,648 | forehead-1 | 1 | 0.99937 | 0.00063 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Francis does not know whether or not everyone's forehead is muddy. It is publicly announced that Jennifer knows whether Francis'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)) ] [ ! (Agentb knows whether 1) ] Agenta knows whether (Agentc knows that 2) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agentb knows whether 1) ] 0 | Francis can now know whether Jenny can know that Jennifer's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Francis",
"Jennifer",
"Jenny"
] | 46,643 | forehead-1 | 1 | 0.894206 | 0.105794 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anthony's card is shown to Yvonne. Yvonne's card is shown to Yvonne. Anthony's card is shown to Carl. Yvonne's card is shown to Carl. Yvonne's card is shown to Jim. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3|4) ] 0 | Anthony can now know whether Jim picked a red card. | explicit | 0 | 4 | not_entailment | [
"Anthony",
"Yvonne",
"Carl",
"Jim"
] | 39,282 | explicit-0 | 0 | 0.904367 | 0.095633 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Esther does not know whether Connie is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] Agentb knows whether (Agenta knows that 1) | 3 | 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)) ] 0 | Esther can now know whether Connie can know that Connie is thirsty. | internal | 1 | 3 | not_entailment | [
"Connie",
"Esther",
"Leonard"
] | 11,305 | internal-0 | 1 | 0.897576 | 1.897576 |
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 James. Jerry's card is shown to Jerry. James's card is shown to Robert. Jerry's card is shown to Charles. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows whether 1) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] 0 | James can now know that Jerry can know whether James picked a red card. | explicit | 1 | 4 | not_entailment | [
"James",
"Jerry",
"Robert",
"Charles"
] | 17,980 | explicit-0 | 0 | 0.843548 | 0.156452 |
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 Eva's forehead is muddy. It is publicly announced that Nancy 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))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! (Agenta knows whether (1|2)) ] 0 | Eva can now know that Nancy can know that nobody's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Nancy",
"Eva"
] | 55,640 | forehead_mirror-0 | 0 | 0.9984 | 0.0016 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christine's card is shown to Russell. Russell's card is shown to Christine. Russell's card is shown to Amy. It is publicly announced that someone picked a red card. It is publicly announced that Christine knows whether someone picked a red card. It is publicly announced that Russell does not know whether Travis picked a red card. It is publicly announced that Russell does not know whether Travis picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] (Agentb knows that 1) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] 0 | Christine can now know that Russell picked a red card. | explicit | 0 | 4 | not_entailment | [
"Russell",
"Christine",
"Amy",
"Travis"
] | 49,108 | explicit-0 | 0 | 0.978699 | 0.021301 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rodney's card is shown to David. Daniel's card is shown to David. Lillie's card is shown to David. David's card is shown to Rodney. It is publicly announced that someone picked a red card. It is publicly announced that Rodney does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agentb knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Rodney can now know whether Lillie picked a red card. | explicit | 0 | 4 | not_entailment | [
"David",
"Rodney",
"Daniel",
"Lillie"
] | 16,350 | explicit-0 | 0 | 0.531727 | 0.468273 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sandra's forehead is muddy. It is publicly announced that Ronald does not know whether Ronald's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! ~(Agentc knows whether 3) ] Agenta knows that (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) ] [ ! 1 ] [ ! ~(Agentc knows whether 3) ] 0 | Sandra can now know that Carmen can know whether or not everyone's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Sandra",
"Carmen",
"Ronald",
"Arthur"
] | 65,734 | forehead-0 | 0 | 0.806902 | 0.193098 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Edward does not know whether Lien is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Randy knows whether someone is thirsty. It is publicly announced that Lien does not know whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentc knows whether (1&2&3)) ] (Agentc knows that (1&2&3)) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Lien can now know that everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Randy",
"Edward",
"Lien"
] | 3,605 | internal-0 | 0 | 0.994852 | 0.005148 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brenda's card is shown to Shelia. Shelia's card is shown to Brenda. Paul's card is shown to Brenda. 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 Paul knows whether someone picked a red card. It is publicly announced that Paul picked a red card. It is publicly announced that Shelia knows whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! 2 ] [ ! (Agenta knows whether (1&2&3)) ] Agenta knows that (Agentb knows that 1) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! 2 ] [ ! (Agenta knows whether (1&2&3)) ] 0 | Shelia can now know that Paul can know that Shelia picked a red card. | explicit | 1 | 3 | not_entailment | [
"Shelia",
"Paul",
"Brenda"
] | 22,856 | explicit-0 | 1 | 0.644996 | 1.644996 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] Agentd knows whether (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 | Eula can now know whether Charles can know that everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Charles",
"Delores",
"Judith",
"Eula"
] | 3,971 | forehead_mirror-1 | 1 | 0.999596 | 0.000404 |
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 Kristen knows whether someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] Agenta knows whether (Agentb knows whether 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] 0 | Kristen can now know whether Kyle can know whether Kristen's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Kristen",
"Kyle"
] | 39,038 | forehead_mirror-1 | 1 | 0.999658 | 0.000342 |
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 Gregorio'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) ] [ ! ~(2) ] (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) ] [ ! ~(2) ] 0 | Gregorio can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"James",
"Gregorio",
"William",
"Russell"
] | 42,695 | forehead_mirror-0 | 0 | 0.998416 | 0.001584 |
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 does not know whether Kenneth's forehead is muddy. It is publicly announced that Kenneth 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) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agentc knows whether (1&2&3)) ] (Agentb knows that (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Mary can now know that someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Forest",
"Mary",
"Kenneth"
] | 24,278 | forehead-1 | 1 | 0.999778 | 0.000222 |
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 Heather knows whether Jerome'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) ] [ ! (Agentc knows whether 2) ] [ ! (~(1&2&3)) ] Agenta knows whether (Agentb 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) ] [ ! (Agentc knows whether 2) ] [ ! (~(1&2&3)) ] 0 | Thomas can now know whether Jerome can know whether Jerome's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Thomas",
"Jerome",
"Heather"
] | 7,499 | forehead_mirror-1 | 1 | 0.999673 | 0.000327 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Nancy does not know whether Nancy's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] Agentb knows whether (Agenta knows that (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] 0 | Lucy can now know whether Nancy can know that nobody's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Nancy",
"Lucy"
] | 11,009 | forehead-1 | 1 | 0.99951 | 0.00049 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cameron's card is shown to Cameron. Cameron's card is shown to Eleanor. Eleanor's card is shown to Eleanor. Paula'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 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3) ] (Agentb knows that 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Eleanor can now know that Cameron picked a red card. | explicit | 0 | 3 | not_entailment | [
"Cameron",
"Eleanor",
"Paula"
] | 23,368 | explicit-0 | 0 | 0.997903 | 0.002097 |
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 whether 3) | 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 | Robert can now know whether Ricky's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Robert",
"Mona",
"Ricky",
"Alfred"
] | 31,494 | forehead_mirror-1 | 1 | 0.999741 | 0.000259 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Judy does not know whether Judy's forehead is muddy. It is publicly announced that Gerald knows whether Gerald's forehead is muddy. It is publicly announced that Gerald knows whether Gerald'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) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether 3) ] Agentc knows that (Agenta knows whether 3) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether 3) ] 0 | Gerald can now know that Elise can know whether Gerald's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Elise",
"Judy",
"Gerald"
] | 61,557 | forehead-1 | 1 | 0.999586 | 0.000414 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Thomas knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] Agenta knows that (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 (~(1|2|3|4))) ] 0 | Shara can now know that Thomas can know that Thomas's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Shara",
"Denise",
"Thomas",
"Wayne"
] | 38,031 | forehead-0 | 0 | 0.997208 | 0.002792 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Judith does not know whether Judith's forehead is muddy. It is publicly announced that Judith's forehead is muddy. It is publicly announced that Crystal's forehead is muddy. It is publicly announced that Rutha'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) ] [ ! 1 ] [ ! 3 ] [ ! 2 ] (Agentd knows that 2) | 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) ] [ ! ~(Agenta knows whether 1) ] [ ! 1 ] [ ! 3 ] [ ! 2 ] 0 | Janet can now know that Rutha's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Judith",
"Rutha",
"Crystal",
"Janet"
] | 27,191 | forehead-1 | 1 | 0.585236 | 0.414764 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph knows whether Joseph is thirsty. It is publicly announced that Luann does not know whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentc knows that (Agentb knows whether 3) | 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 (1&2&3)) ] 0 | Beulah can now know that Luann can know whether Beulah is thirsty. | internal | 1 | 3 | not_entailment | [
"Joseph",
"Luann",
"Beulah"
] | 51,039 | internal-0 | 0 | 0.821493 | 0.178507 |
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 Marion'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) ] [ ! ~(1) ] (Agenta knows that (1|2|3|4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0 | Marion can now know that someone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Marion",
"Kenneth",
"Olga",
"Elva"
] | 7,585 | forehead_mirror-1 | 1 | 0.999773 | 0.000227 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Bill knows whether Andy'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 2) ] Agentb knows whether (Agentc 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) ] [ ! (Agentc knows whether 2) ] 0 | Andy can now know whether Bill can know whether Bill's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Pamela",
"Andy",
"Bill"
] | 20,023 | forehead-0 | 0 | 0.944662 | 0.055338 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carol does not know whether Dorothy is thirsty. It is publicly announced that Gertrude does not know whether Carol is thirsty. It is publicly announced that Dorothy does not know whether or not everyone is thirsty. It is publicly announced that Mary does not know whether Carol is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether 1) ] Agentd knows that (Agentb knows whether 1) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether 1) ] 0 | Dorothy can now know that Gertrude can know whether Carol is thirsty. | internal | 1 | 4 | not_entailment | [
"Carol",
"Gertrude",
"Mary",
"Dorothy"
] | 22,312 | internal-0 | 0 | 0.856005 | 0.143995 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dominick does not know whether or not everyone is thirsty. It is publicly announced that Teresa does not know whether Patrick is thirsty. It is publicly announced that Patrick does not know whether or not everyone is thirsty. It is publicly announced that Patrick 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 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc knows that 1) | 4 | 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 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Dominick can now know that Teresa is thirsty. | internal | 0 | 3 | not_entailment | [
"Teresa",
"Patrick",
"Dominick"
] | 19,006 | internal-0 | 0 | 0.743172 | 0.256828 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lois's card is shown to Enrique. Enrique's card is shown to Lois. It is publicly announced that someone picked a red card. It is publicly announced that Enrique does not know whether Enrique picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] Agentb knows whether (Agenta knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] 0 | Lois can now know whether Enrique can know whether Lois picked a red card. | explicit | 1 | 2 | entailment | [
"Enrique",
"Lois"
] | 35,204 | explicit-1 | 1 | 0.997078 | 0.002922 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Dennis knows whether David'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) ] (Agentc knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] 0 | Robert can now know that Dennis's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"David",
"Dennis",
"Robert"
] | 2,714 | forehead-0 | 0 | 0.998057 | 0.001943 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Richard 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 that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] 0 | Richard can now know that Richard's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Steve",
"Derek",
"Richard"
] | 58,718 | forehead-0 | 1 | 0.544814 | 1.544814 |
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 everyone's forehead is muddy. It is publicly announced that Nicholas knows whether 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 (1|2)) ] (Agenta knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether (1|2)) ] 0 | Nicholas can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Nicholas",
"Jose"
] | 47,767 | forehead_mirror-1 | 1 | 0.997456 | 0.002544 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Teri knows whether someone's forehead is muddy. It is publicly announced that Anna knows whether Teri's forehead is muddy. It is publicly announced that Phyllis does not know whether 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)) ] [ ! (Agenta knows whether 3) ] [ ! ~(Agentb knows whether 2) ] Agentb knows whether (Agenta knows that 2) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (Agenta knows whether 3) ] [ ! ~(Agentb knows whether 2) ] 0 | Phyllis can now know whether Anna can know that Phyllis's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Anna",
"Phyllis",
"Teri"
] | 48,307 | forehead-0 | 0 | 0.700919 | 0.299081 |
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 Jessica knows whether or not nobody'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) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] [ ! (1|2|3|4) ] Agenta knows that (Agentb 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) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] [ ! (1|2|3|4) ] 0 | Arletta can now know that Evelyn can know whether someone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Arletta",
"Evelyn",
"Shirley",
"Jessica"
] | 35,760 | forehead_mirror-1 | 1 | 0.999763 | 0.000237 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Isaias does not know whether Isaias's forehead is muddy. It is publicly announced that Rhonda knows whether or not nobody's forehead is muddy. It is publicly announced that Rhonda does not know whether Rhonda's forehead is muddy. It is publicly announced that Amy knows whether Isaias's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentc knows whether 1) ] (Agentc knows that 1) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentc knows whether 1) ] 0 | Amy can now know that Isaias's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Isaias",
"Rhonda",
"Amy"
] | 40,335 | forehead-0 | 0 | 0.976907 | 0.023093 |
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 Robin knows whether or not everyone's forehead is muddy. It is publicly announced that Robin knows whether Gladys's forehead is muddy. It is publicly announced that Robin'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 whether (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 | Robin can now know whether Gladys can know that someone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Robin",
"Gladys"
] | 56,271 | forehead_mirror-1 | 1 | 0.999784 | 0.000216 |
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 Richard knows whether or not nobody's forehead is muddy. It is publicly announced that Kerry'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))) ] [ ! ~(2) ] Agentb knows that (Agenta 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) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! ~(2) ] 0 | Kerry can now know that Paul can know that Richard's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Paul",
"Kerry",
"Richard",
"Arlene"
] | 65,422 | forehead_mirror-0 | 0 | 0.993606 | 0.006394 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Scott's card is shown to Scott. Kevin's card is shown to Scott. Scott's card is shown to Kevin. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] Agenta knows whether (Agentb knows whether 2) | 0 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] 0 | Scott can now know whether Kevin can know whether Kevin picked a red card. | explicit | 1 | 2 | entailment | [
"Scott",
"Kevin"
] | 31,046 | explicit-1 | 1 | 0.993591 | 0.006409 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marie's card is shown to Carl. Madison's card is shown to Madison. Marie's card is shown to Marie. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] (Agentb knows whether 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Madison can now know whether Carl picked a red card. | explicit | 0 | 3 | not_entailment | [
"Carl",
"Madison",
"Marie"
] | 37,804 | explicit-0 | 0 | 0.924641 | 0.075359 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Ollie 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) ] [ ! 2 ] (Agenta knows that (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! 2 ] 0 | Michael can now know that someone is thirsty. | internal | 0 | 4 | entailment | [
"Michael",
"Ollie",
"Thomas",
"Dorothy"
] | 13,409 | internal-1 | 1 | 0.999779 | 0.000221 |
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 Jackie'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) ] Agentc knows whether (Agentb knows that 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 1) ] 0 | Ruth can now know whether Mae can know that Mae's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Jackie",
"Mae",
"Ruth",
"Sandy"
] | 16,788 | forehead-0 | 0 | 0.911973 | 0.088027 |
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 June knows whether June's forehead is muddy. It is publicly announced that Amos knows whether Belinda'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 2) ] [ ! (Agentc knows whether 1) ] (Agenta knows whether 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) ] [ ! (Agentb knows whether 2) ] [ ! (Agentc knows whether 1) ] 0 | Belinda can now know whether Belinda's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Belinda",
"June",
"Amos",
"Raymond"
] | 54,758 | forehead_mirror-1 | 1 | 0.999396 | 0.000604 |