premise
stringlengths 104
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| smcdel_problem
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| n_announcements
int64 0
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| pbcheck
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stringlengths 37
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int64 0
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float64 0.5
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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 Charles knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] Agentb knows whether (Agentc knows whether 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) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0 | Charles can now know whether William can know whether Charles's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Ellen",
"Charles",
"William",
"Douglas"
] | 5,732 | forehead-1 | 1 | 0.964826 | 0.035174 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mary knows whether 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 (1&2&3&4)) ] Agenta knows that (Agentc knows that 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) ] [ ! (Agentd knows whether (1&2&3&4)) ] 0 | Nathan can now know that James can know that Mary's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Nathan",
"Hugh",
"James",
"Mary"
] | 12,602 | forehead-0 | 0 | 0.982068 | 0.017932 |
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 Christopher knows whether or not everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] (Agenta knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] 0 | Christopher can now know that Christopher's forehead is muddy. | forehead_mirror | 0 | 2 | not_entailment | [
"Christopher",
"Larry"
] | 40,030 | forehead_mirror-0 | 0 | 0.995671 | 0.004329 |
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 not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (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) ] [ ! (~(1&2&3&4)) ] 0 | Sandra can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Jean",
"Sandra",
"Marc",
"Ellis"
] | 47,692 | forehead_mirror-0 | 0 | 0.990988 | 0.009012 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary does not know whether Brian is thirsty. It is publicly announced that Russell 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 2) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agenta knows whether (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0 | Mary can now know whether or not everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Mary",
"Brian",
"Russell"
] | 7,344 | internal-0 | 0 | 0.996573 | 0.003427 |
There are four persons. Everyone is visible to others. 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) ] Agentd knows that (Agentb knows that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Mary can now know that Jo can know that Michael is thirsty. | internal | 1 | 4 | not_entailment | [
"Oscar",
"Jo",
"Michael",
"Mary"
] | 62,763 | internal-0 | 0 | 0.996631 | 0.003369 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brenda's card is shown to Brenda. Angela's card is shown to David. Angela's card is shown to Angela. It is publicly announced that someone picked a red card. It is publicly announced that Emely does not know whether David picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Brenda does not know whether Brenda picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 2) ] (Agentb knows whether (1&2&3&4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 2) ] 0 | Brenda can now know whether or not everyone picked a red card. | explicit | 0 | 4 | entailment | [
"Emely",
"Brenda",
"David",
"Angela"
] | 67,139 | explicit-1 | 1 | 0.978592 | 0.021408 |
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 Brenda knows whether or not nobody'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) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! (1&2&3) ] (Agentc knows that (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! (1&2&3) ] 0 | Brenda can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Rosalind",
"Richard",
"Brenda"
] | 34,575 | forehead_mirror-1 | 1 | 0.998259 | 0.001741 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Catherine's card is shown to Catherine. Catherine's card is shown to Evelyn. Evelyn's card is shown to Evelyn. It is publicly announced that someone picked a red card. It is publicly announced that Evelyn picked a red card. It is publicly announced that Evelyn knows whether someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! (Agentb knows whether (1|2)) ] (Agentb knows that (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! (Agentb knows whether (1|2)) ] 0 | Evelyn can now know that someone picked a red card. | explicit | 0 | 2 | entailment | [
"Catherine",
"Evelyn"
] | 31,006 | explicit-1 | 1 | 0.999467 | 0.000533 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Frank's card is shown to Britany. Britany's card is shown to Frank. Deann's card is shown to Deann. Deann's card is shown to Lauren. It is publicly announced that someone picked a red card. It is publicly announced that Lauren does not know whether Frank picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] Agentb knows whether (Agenta knows that (1|2|3|4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] 0 | Frank can now know whether Britany can know that someone picked a red card. | explicit | 1 | 4 | entailment | [
"Britany",
"Frank",
"Deann",
"Lauren"
] | 5,419 | explicit-1 | 1 | 0.999421 | 0.000579 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Maxwell's card is shown to Gerald. Gerald's card is shown to Maxwell. Maxwell's card is shown to Maxwell. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] Agenta knows that (Agentb knows that 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0 | Gerald can now know that Maxwell can know that Gerald picked a red card. | explicit | 1 | 2 | not_entailment | [
"Gerald",
"Maxwell"
] | 11,216 | explicit-0 | 0 | 0.996111 | 0.003889 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to William. John's card is shown to William. Florence's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that John does not know whether John picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] (Agentb knows whether (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] 0 | John can now know whether or not everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"William",
"John",
"Florence"
] | 14,238 | explicit-0 | 0 | 0.992349 | 0.007651 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that David does not know whether or not everyone's forehead is muddy. It is publicly announced that David does not know whether David's forehead is muddy. It is publicly announced that David does not know 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)) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2)) ] Agentb knows that (Agenta knows whether 1) | 3 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2)) ] 0 | Maria can now know that David can know whether David's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"David",
"Maria"
] | 37,822 | forehead-0 | 1 | 0.644051 | 1.644051 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mary's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] (Agentb knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0 | Eneida can now know that everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Carol",
"Eneida",
"Anne",
"Mary"
] | 63,662 | forehead-0 | 0 | 0.998795 | 0.001205 |
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 Thomas knows whether Raymond's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] (Agenta knows that (~(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 2) ] 0 | Jesse can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Jesse",
"Raymond",
"Thomas"
] | 53,748 | forehead_mirror-0 | 0 | 0.998666 | 0.001334 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kathleen is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] Agenta knows that (Agentc knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] 0 | Sharyn can now know that Andrew can know that Andrew is thirsty. | internal | 1 | 3 | not_entailment | [
"Sharyn",
"Kathleen",
"Andrew"
] | 55,534 | internal-0 | 0 | 0.94973 | 0.05027 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Danielle knows whether someone's forehead is muddy. It is publicly announced that Ruth'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) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(3) ] Agentb knows whether (Agenta knows whether (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(3) ] 0 | Danielle can now know whether Ava can know whether someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Ava",
"Danielle",
"Ruth"
] | 18,542 | forehead-1 | 1 | 0.999448 | 0.000552 |
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 Barbra knows whether or not everyone's forehead is muddy. It is publicly announced that Susan'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) ] [ ! (Agentd knows whether (1&2&3&4)) ] [ ! ~(3) ] (Agenta knows that 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1&2&3&4)) ] [ ! ~(3) ] 0 | Leann can now know that Barbra's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Leann",
"Wanda",
"Susan",
"Barbra"
] | 60,298 | forehead_mirror-0 | 0 | 0.997594 | 0.002406 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Raul does not know whether Viola is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] Agentd knows whether (Agentb knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] 0 | Shane can now know whether Viola can know that everyone is thirsty. | internal | 1 | 4 | entailment | [
"Daryl",
"Viola",
"Raul",
"Shane"
] | 4,070 | internal-1 | 1 | 0.994455 | 0.005545 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Erick does not know whether Edna is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agentb knows that (Agentc knows whether (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0 | Erick can now know that Edna can know whether or not everyone is thirsty. | internal | 1 | 3 | not_entailment | [
"Kathy",
"Erick",
"Edna"
] | 48,129 | internal-0 | 0 | 0.997057 | 0.002943 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robin's card is shown to Robin. Elizabeth's card is shown to Robin. Graciela's card is shown to Elizabeth. Robin's card is shown to Graciela. Robin's card is shown to Rudolph. Elizabeth's card is shown to Rudolph. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] 0 | Graciela can now know whether Graciela picked a red card. | explicit | 0 | 4 | not_entailment | [
"Robin",
"Elizabeth",
"Graciela",
"Rudolph"
] | 39,790 | explicit-0 | 0 | 0.674101 | 0.325899 |
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 Lowell's forehead is muddy. It is publicly announced that Lowell's forehead is muddy. It is publicly announced that Carlos's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! 4 ] [ ! ~(3) ] (Agentc knows that (1&2&3&4)) | 3 | 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 ] [ ! 4 ] [ ! ~(3) ] 0 | Carlos can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Nicole",
"Cynthia",
"Carlos",
"Lowell"
] | 11,570 | forehead_mirror-0 | 0 | 0.998585 | 0.001415 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carl's card is shown to Dwight. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 VALID? [ ! (1|2|3) ] (Agenta knows that (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 VALID? [ ! (1|2|3) ] 0 | Dwight can now know that everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Dwight",
"Carl",
"Kathleen"
] | 50,460 | explicit-0 | 0 | 0.99898 | 0.00102 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mauricio's card is shown to Lora. Lora's card is shown to Mauricio. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] (Agenta knows whether (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0 | Lora can now know whether or not everyone picked a red card. | explicit | 0 | 2 | entailment | [
"Lora",
"Mauricio"
] | 42,486 | explicit-1 | 1 | 0.988319 | 0.011681 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michelle does not know whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentb knows that (Agentc knows whether 2) | 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 | Robert can now know that Heidi can know whether Robert is thirsty. | internal | 1 | 3 | not_entailment | [
"Michelle",
"Robert",
"Heidi"
] | 14,320 | internal-0 | 1 | 0.546748 | 1.546748 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda knows whether Linda is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] (Agentb knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0 | Linda can now know whether someone is thirsty. | internal | 0 | 3 | entailment | [
"Howard",
"Linda",
"Brett"
] | 30,996 | internal-1 | 1 | 0.999463 | 0.000537 |
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. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agenta knows 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) ] [ ! (~(1&2&3)) ] 0 | Michel can now know that Callie can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Michel",
"Callie",
"Debra"
] | 40,652 | forehead_mirror-0 | 0 | 0.99887 | 0.00113 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kareem's card is shown to Kareem. Patricia's card is shown to Patricia. Joyce's card is shown to Steven. Kareem's card is shown to Steven. Patricia's card is shown to Steven. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,2,3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows whether 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,2,3 VALID? [ ! (1|2|3|4) ] 0 | Joyce can now know that Kareem can know whether Kareem picked a red card. | explicit | 1 | 4 | not_entailment | [
"Joyce",
"Kareem",
"Patricia",
"Steven"
] | 4,320 | explicit-0 | 1 | 0.641346 | 1.641346 |
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 Leo's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] Agentb knows 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) ] [ ! 3 ] 0 | Jean can now know that Sue can know that someone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Sue",
"Jean",
"Leo"
] | 34,366 | forehead_mirror-1 | 1 | 0.999435 | 0.000565 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Shirley's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! 1 ] (Agentb knows that 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! 1 ] 0 | Joe can now know that Joe's forehead is muddy. | forehead_mirror | 0 | 2 | not_entailment | [
"Shirley",
"Joe"
] | 5,484 | forehead_mirror-0 | 0 | 0.992459 | 0.007541 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Daniel knows whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] (Agentd knows whether (1|2|3|4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Marlin can now know whether someone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Daniel",
"Valarie",
"Mamie",
"Marlin"
] | 7,446 | forehead-1 | 1 | 0.999495 | 0.000505 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elnora is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] Agenta knows that (Agentc knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] 0 | Louis can now know that Michale can know whether Elnora is thirsty. | internal | 1 | 3 | entailment | [
"Louis",
"Elnora",
"Michale"
] | 17,078 | internal-1 | 1 | 0.952824 | 0.047176 |
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 Robert. Dean's card is shown to Robert. Jason's card is shown to Jason. Dean's card is shown to Dean. It is publicly announced that someone picked a red card. It is publicly announced that Dean does not know whether Robert picked a red card. It is publicly announced that Jason does not know whether Raul picked a red card. It is publicly announced that Dean knows whether someone picked a red card. It is publicly announced that Dean does not know whether Raul picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 4) ] Agentc knows whether (Agenta knows that 4) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 4) ] 0 | Dean can now know whether Robert can know that Raul picked a red card. | explicit | 1 | 4 | entailment | [
"Robert",
"Jason",
"Dean",
"Raul"
] | 45,973 | explicit-1 | 1 | 0.86481 | 0.13519 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jason's card is shown to Clay. Jason's card is shown to Adela. Adela's card is shown to Joshua. Adela's card is shown to Jason. Jason's card is shown to Jason. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:2 Agentd:2,4 VALID? [ ! (1|2|3|4) ] (Agenta knows that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:2 Agentd:2,4 VALID? [ ! (1|2|3|4) ] 0 | Clay can now know that Joshua picked a red card. | explicit | 0 | 4 | not_entailment | [
"Clay",
"Adela",
"Joshua",
"Jason"
] | 32,279 | explicit-0 | 0 | 0.998383 | 0.001617 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Judy's card is shown to Mark. Mark's card is shown to Kathleen. Judy's card is shown to Kathleen. It is publicly announced that someone picked a red card. It is publicly announced that Kathleen does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentb knows that (Agenta knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Kathleen can now know that Mark can know whether Mark picked a red card. | explicit | 1 | 3 | entailment | [
"Mark",
"Kathleen",
"Judy"
] | 29,074 | explicit-1 | 1 | 0.5493 | 0.4507 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to William. William's card is shown to Susan. Ethan's card is shown to Susan. Ethan's card is shown to Ethan. Ethan's card is shown to Ann. Ann's card is shown to Ann. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:3 Agentd:3,4 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 1) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:3 Agentd:3,4 VALID? [ ! (1|2|3|4) ] 0 | Susan can now know whether William picked a red card. | explicit | 0 | 4 | entailment | [
"William",
"Susan",
"Ethan",
"Ann"
] | 62,521 | explicit-1 | 0 | 0.894171 | 1.894171 |
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 Carlos knows whether Robert's forehead is muddy. It is publicly announced that Robert'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 3) ] [ ! 3 ] Agenta knows whether (Agentc 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) ] [ ! (Agentd knows whether 3) ] [ ! 3 ] 0 | Katie can now know whether Robert can know that someone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Katie",
"Donald",
"Robert",
"Carlos"
] | 12,677 | forehead_mirror-1 | 1 | 0.99946 | 0.00054 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Latoya 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 that (Agentb 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) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | Alberta can now know that Latoya can know that Alberta's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Alberta",
"Latoya",
"Ashley"
] | 13,828 | forehead-0 | 0 | 0.966178 | 0.033822 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Amber is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] (Agentb knows whether (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0 | Julie can now know whether or not nobody is thirsty. | internal | 0 | 3 | entailment | [
"Don",
"Julie",
"Amber"
] | 49,963 | internal-1 | 1 | 0.999509 | 0.000491 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ethel's card is shown to David. Ethel's card is shown to Ethel. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] Agenta knows that (Agentb knows that (1|2)) | 0 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] 0 | David can now know that Ethel can know that someone picked a red card. | explicit | 1 | 2 | entailment | [
"David",
"Ethel"
] | 21,863 | explicit-1 | 1 | 0.999401 | 0.000599 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria does not know whether Renee is thirsty. It is publicly announced that Linda knows whether someone is thirsty. It is publicly announced that Linda does not know whether Maria is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 1) ] Agentd knows that (Agentb 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) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 1) ] 0 | Jonathan can now know that Linda can know that everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Maria",
"Linda",
"Renee",
"Jonathan"
] | 27,578 | internal-0 | 0 | 0.998973 | 0.001027 |
There are two persons. Everyone is visible to others. 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 Jason knows whether or not nobody's forehead is muddy. It is publicly announced that Jason knows whether Carolyn's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agentb knows whether 1) ] Agentb knows that (Agenta knows that 1) | 3 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agentb knows whether 1) ] 0 | Jason can now know that Carolyn can know that Carolyn's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Carolyn",
"Jason"
] | 44,487 | forehead-1 | 1 | 0.995212 | 0.004788 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ann's card is shown to Joshua. Ann's card is shown to Francisco. Joshua's card is shown to Ann. Ann's card is shown to Ann. It is publicly announced that someone picked a red card. It is publicly announced that Ann picked a red card. It is publicly announced that everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (1&2&3) ] Agentc knows whether (Agenta knows whether 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (1&2&3) ] 0 | Ann can now know whether Joshua can know whether Francisco picked a red card. | explicit | 1 | 3 | entailment | [
"Joshua",
"Francisco",
"Ann"
] | 65,879 | explicit-1 | 1 | 0.998946 | 0.001054 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kevin does not know whether Kevin's forehead is muddy. It is publicly announced that Eddy knows whether someone's forehead is muddy. It is publicly announced that Eddy knows whether John'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 3) ] Agentb knows whether (Agentc knows whether 1) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! (Agentb knows whether 3) ] 0 | Eddy can now know whether John can know whether Kevin's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Kevin",
"Eddy",
"John"
] | 64,488 | forehead-1 | 1 | 0.998969 | 0.001031 |
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 Lois. Gwendolyn's card is shown to Gwendolyn. It is publicly announced that someone picked a red card. It is publicly announced that Lois does not know whether or not everyone picked a red card. It is publicly announced that Gwendolyn knows whether someone 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 (1|2)) ] Agentb knows whether (Agenta knows that 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] 0 | Gwendolyn can now know whether Lois can know that Gwendolyn picked a red card. | explicit | 1 | 2 | entailment | [
"Lois",
"Gwendolyn"
] | 42,821 | explicit-1 | 1 | 0.834961 | 0.165039 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Antonia knows whether someone's forehead is muddy. It is publicly announced that Antonia knows whether someone's forehead is muddy. It is publicly announced that Dave knows whether or not everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] (Agentb knows whether (~(1|2))) | 4 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] 0 | Antonia can now know whether or not nobody's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Dave",
"Antonia"
] | 9,621 | forehead-1 | 1 | 0.999456 | 0.000544 |
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 Georgann'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 ] (Agentc knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] 0 | Georgann can now know that Leif's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Gary",
"Gordon",
"Georgann",
"Leif"
] | 6,531 | forehead_mirror-0 | 0 | 0.994398 | 0.005602 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Javier's forehead is 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 that (Agenta knows that (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] 0 | Denise can now know that Michael can know that someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Michael",
"Javier",
"Denise"
] | 39,556 | forehead-1 | 1 | 0.999433 | 0.000567 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Dianne knows whether Alexander'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 that (Agentd knows that 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 1) ] 0 | Dianne can now know that Brian can know that Judson's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Alexander",
"Judson",
"Dianne",
"Brian"
] | 32,165 | forehead-0 | 0 | 0.997398 | 0.002602 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carolyn does not know whether or not everyone is thirsty. It is publicly announced that Carolyn does not know whether or not everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] 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&2)) ] 0 | Barry can now know that Carolyn can know that someone is thirsty. | internal | 1 | 2 | entailment | [
"Barry",
"Carolyn"
] | 41,711 | internal-1 | 1 | 0.999494 | 0.000506 |
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 Drew'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 ] (Agentb knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0 | Dolores can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Joyce",
"Dolores",
"Linda",
"Drew"
] | 4,670 | forehead_mirror-0 | 0 | 0.998863 | 0.001137 |
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 Thomas. Rebecca's card is shown to Lynn. Kendra's card is shown to Kendra. Thomas's card is shown to Rebecca. It is publicly announced that someone picked a red card. It is publicly announced that Lynn does not know whether Thomas picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Thomas picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(1) ] Agenta knows whether (Agentb knows whether 1) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(1) ] 0 | Thomas can now know whether Lynn can know whether Thomas picked a red card. | explicit | 1 | 4 | entailment | [
"Thomas",
"Lynn",
"Kendra",
"Rebecca"
] | 57,696 | explicit-1 | 1 | 0.998743 | 0.001257 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agentb knows whether (Agenta knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0 | Letha can now know whether Billy can know that Robert's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Billy",
"Letha",
"Robert"
] | 14,487 | forehead-1 | 1 | 0.977871 | 0.022129 |
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 or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] Agenta knows whether (Agentd 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) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0 | Ruth can now know whether Phillip can know whether Jessica's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Ruth",
"Jessica",
"James",
"Phillip"
] | 22,381 | forehead_mirror-1 | 1 | 0.999408 | 0.000592 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ira knows whether Paula'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 2) ] (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) ] [ ! (Agenta knows whether 2) ] 0 | Ira can now know that Ira's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Ira",
"Paula",
"Deborah",
"Teresa"
] | 27,036 | forehead-0 | 0 | 0.995513 | 0.004487 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dave does not know whether Gerald is thirsty. It is publicly announced that Gerald 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 1) ] [ ! ~(Agenta knows whether 2) ] (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) ] [ ! ~(Agenta knows whether 2) ] 0 | Gerald can now know that Gerald is thirsty. | internal | 0 | 3 | not_entailment | [
"Gerald",
"Mary",
"Dave"
] | 3,676 | internal-0 | 0 | 0.975173 | 0.024827 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentd knows whether (Agenta knows that (1|2|3|4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0 | Mark can now know whether Christopher can know that someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Christopher",
"Lindsay",
"Emily",
"Mark"
] | 41,542 | forehead-1 | 1 | 0.999404 | 0.000596 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Betty's card is shown to Betty. Clayton's card is shown to Betty. Betty's card is shown to Clayton. Barbara's card is shown to Clayton. William's card is shown to Clayton. Barbara's card is shown to Barbara. William's card is shown to Barbara. Betty's card is shown to William. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card. It is publicly announced that Barbara knows whether someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,3,4 Agentc:3,4 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentc knows that (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,3,4 Agentc:3,4 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0 | Barbara can now know that nobody picked a red card. | explicit | 0 | 4 | not_entailment | [
"Betty",
"Clayton",
"Barbara",
"William"
] | 29,996 | explicit-0 | 0 | 0.994207 | 0.005793 |
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 Teresa knows whether or not nobody's forehead is muddy. It is publicly announced that Christopher'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) ] Agentc knows that (Agentd 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 (~(1|2|3|4))) ] [ ! ~(2) ] 0 | Teresa can now know that Robert can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Kristie",
"Christopher",
"Teresa",
"Robert"
] | 62,886 | forehead_mirror-1 | 1 | 0.999302 | 0.000698 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Patricia knows whether Patricia 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 3) ] (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) ] [ ! (Agentc knows whether 3) ] 0 | Robyn can now know that Jonathan is thirsty. | internal | 0 | 4 | not_entailment | [
"Robyn",
"Jonathan",
"Patricia",
"James"
] | 24,099 | internal-0 | 0 | 0.9975 | 0.0025 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Heather does not know whether Roberto is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] Agentd knows whether (Agentb knows whether (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0 | Heather can now know whether Jason can know whether or not nobody is thirsty. | internal | 1 | 4 | entailment | [
"Rachel",
"Jason",
"Roberto",
"Heather"
] | 7,285 | internal-1 | 1 | 0.999304 | 0.000696 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Doris's card is shown to Jeffrey. Christina's card is shown to Jeffrey. Doris's card is shown to Mary. Mary's card is shown to Mary. Mary's card is shown to Christina. Christina's card is shown to Christina. It is publicly announced that someone picked a red card. It is publicly announced that Doris does not know whether or not everyone picked a red card. It is publicly announced that everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1&2&3&4) ] (Agentb knows that 1) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1&2&3&4) ] 0 | Doris can now know that Jeffrey picked a red card. | explicit | 0 | 4 | entailment | [
"Jeffrey",
"Doris",
"Mary",
"Christina"
] | 18,999 | explicit-1 | 1 | 0.991284 | 0.008716 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Anita does not know whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentc knows that (Agenta knows whether 2) | 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 | Dorathy can now know that Anita can know whether Ashley is thirsty. | internal | 1 | 3 | not_entailment | [
"Anita",
"Ashley",
"Dorathy"
] | 35,361 | internal-0 | 0 | 0.979011 | 0.020989 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agentc knows that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Ryan can now know that Ryan is thirsty. | internal | 0 | 4 | not_entailment | [
"Shelley",
"Larry",
"Ryan",
"George"
] | 39,982 | internal-0 | 0 | 0.949045 | 0.050955 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jean's card is shown to Jean. Jean's card is shown to Joey. Jean's card is shown to Robert. Joey's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Jean knows whether Jean picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] (Agenta knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] 0 | Jean can now know whether Jean picked a red card. | explicit | 0 | 3 | entailment | [
"Jean",
"Joey",
"Robert"
] | 63,017 | explicit-1 | 1 | 0.973906 | 0.026094 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Angela's card is shown to Angela. Lacie's card is shown to Angela. Cheryl's card is shown to Angela. Chassidy's card is shown to Cheryl. It is publicly announced that someone 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 that (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1 VALID? [ ! (1|2|3|4) ] 0 | Angela can now know that nobody picked a red card. | explicit | 0 | 4 | not_entailment | [
"Chassidy",
"Angela",
"Lacie",
"Cheryl"
] | 18,921 | explicit-0 | 0 | 0.998913 | 0.001087 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael is thirsty. It is publicly announced that Ralph does not know whether or not everyone is thirsty. It is publicly announced that Ralph does not know whether Christopher is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 2) ] (Agenta 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) ] [ ! 3 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 2) ] 0 | Daniel can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"Daniel",
"Christopher",
"Michael",
"Ralph"
] | 15,198 | internal-1 | 1 | 0.999473 | 0.000527 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joel is not thirsty. It is publicly announced that Theodore does not know whether Louis is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agentd knows whether 1) ] Agentd knows whether (Agentc knows whether (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agentd knows whether 1) ] 0 | Theodore can now know whether Joel can know whether someone is thirsty. | internal | 1 | 4 | entailment | [
"Louis",
"Angela",
"Joel",
"Theodore"
] | 39,788 | internal-1 | 1 | 0.999495 | 0.000505 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Donald's card is shown to Donald. Walter's card is shown to Walter. It is publicly announced that someone picked a red card. It is publicly announced that Walter knows whether or not nobody picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] Agentb knows that (Agenta knows whether 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Walter can now know that Donald can know whether Donald picked a red card. | explicit | 1 | 2 | entailment | [
"Donald",
"Walter"
] | 55,877 | explicit-1 | 0 | 0.906148 | 1.906148 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Matthew does not know whether Maryalice is thirsty. It is publicly announced that Tyson does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agentb knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | Maryalice can now know that Maryalice is thirsty. | internal | 0 | 4 | not_entailment | [
"Matthew",
"Maryalice",
"Rosemary",
"Tyson"
] | 27,208 | internal-0 | 0 | 0.772463 | 0.227537 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tonia does not know whether Charles is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3|4) ] (Agentc knows 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) ] [ ! (1|2|3|4) ] 0 | Tonia can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"Charles",
"Ada",
"Tonia",
"Kenneth"
] | 6,039 | internal-1 | 1 | 0.999385 | 0.000615 |
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 not everyone's forehead is muddy. It is publicly announced that Ervin knows whether or not nobody's forehead is muddy. It is publicly announced that Herbert knows whether James's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! (Agentd knows whether 3) ] Agentb knows whether (Agentd knows whether 2) | 3 | 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)) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! (Agentd knows whether 3) ] 0 | Ervin can now know whether Herbert can know whether Ervin's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Michael",
"Ervin",
"James",
"Herbert"
] | 561 | forehead_mirror-1 | 1 | 0.999267 | 0.000733 |
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 Heather'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) ] (Agenta knows that 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 | Karen can now know that David's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Karen",
"Heather",
"Melinda",
"David"
] | 13,163 | forehead_mirror-0 | 0 | 0.998159 | 0.001841 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Joyce's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] (Agentd knows whether 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 | Theresa can now know whether Theresa's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Joyce",
"Kenneth",
"Jody",
"Theresa"
] | 49,714 | forehead-0 | 0 | 0.97655 | 0.02345 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kendra's card is shown to Philip. Sidney's card is shown to Philip. Micheal's card is shown to Kendra. Philip's card is shown to Sidney. Sidney's card is shown to Micheal. 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) ] Agentd knows whether (Agentc knows that 1) | 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 | Micheal can now know whether Sidney can know that Philip picked a red card. | explicit | 1 | 4 | not_entailment | [
"Philip",
"Kendra",
"Sidney",
"Micheal"
] | 14,262 | explicit-0 | 1 | 0.931517 | 1.931517 |
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 Francisca'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) ] (Agenta knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0 | Lynda can now know whether Edward's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Lynda",
"Francisca",
"James",
"Edward"
] | 43,737 | forehead_mirror-1 | 1 | 0.999443 | 0.000557 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Adam's card is shown to Patricia. Patricia's card is shown to Nicole. Adam's card is shown to Adam. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows whether 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3|4) ] 0 | Patricia can now know that Nicole can know whether Adam picked a red card. | explicit | 1 | 4 | not_entailment | [
"Patricia",
"Nicole",
"Adam",
"Shawn"
] | 27,157 | explicit-0 | 1 | 0.763641 | 1.763641 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Juan knows whether or not nobody is thirsty. It is publicly announced that Juan does not know whether Sheldon is thirsty. It is publicly announced that Sheldon knows whether Juan 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 whether 2) ] Agenta knows whether (Agentb knows whether 1) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agenta knows whether 2) ] 0 | Sheldon can now know whether Juan can know whether Sheldon is thirsty. | internal | 1 | 2 | entailment | [
"Sheldon",
"Juan"
] | 5,743 | internal-1 | 1 | 0.998914 | 0.001086 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ronald's card is shown to Cassandra. Cassandra's card is shown to Cassandra. Jose's card is shown to Cassandra. Ronald's card is shown to Jose. Cassandra's card is shown to Jose. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2 VALID? [ ! (1|2|3) ] (Agentb knows that (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2 VALID? [ ! (1|2|3) ] 0 | Cassandra can now know that nobody picked a red card. | explicit | 0 | 3 | not_entailment | [
"Ronald",
"Cassandra",
"Jose"
] | 53,936 | explicit-0 | 0 | 0.998944 | 0.001056 |
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 Zina knows whether or not everyone's forehead is muddy. It is publicly announced that Alyssa'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)) ] [ ! 4 ] Agentd knows that (Agentb 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) ] [ ! (Agentc knows whether (1&2&3&4)) ] [ ! 4 ] 0 | Alyssa can now know that Daniel can know that Teresa's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Teresa",
"Daniel",
"Zina",
"Alyssa"
] | 36,253 | forehead_mirror-0 | 0 | 0.991371 | 0.008629 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Magdalena does not know whether Ida is thirsty. It is publicly announced that Wayne does not know whether Magdalena is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agenta knows whether 3) ] [ ! (~(1&2&3&4)) ] [ ! (~(1&2&3&4)) ] (Agentb knows whether 4) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agenta knows whether 3) ] [ ! (~(1&2&3&4)) ] [ ! (~(1&2&3&4)) ] 0 | Patrick can now know whether Ida is thirsty. | internal | 0 | 4 | not_entailment | [
"Wayne",
"Patrick",
"Magdalena",
"Ida"
] | 1,729 | internal-0 | 0 | 0.996878 | 0.003122 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Russell does not know whether or not everyone's forehead is muddy. It is publicly announced that Russell does not know whether Russell'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)) ] [ ! ~(Agentd knows whether 4) ] (Agentc knows that 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 4) ] 0 | Pearlie can now know that Russell's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Mary",
"John",
"Pearlie",
"Russell"
] | 25,514 | forehead-0 | 0 | 0.705892 | 0.294108 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jessica's card is shown to Jessica. Kerry's card is shown to Kimberly. It is publicly announced that someone picked a red card. It is publicly announced that Jessica picked a black card. It is publicly announced that Jessica does not know whether Kimberly picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! ~(Agentb knows whether 3) ] (Agentb knows whether (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! ~(Agentb knows whether 3) ] 0 | Jessica can now know whether someone picked a red card. | explicit | 0 | 3 | entailment | [
"Kerry",
"Jessica",
"Kimberly"
] | 21,723 | explicit-1 | 1 | 0.999463 | 0.000537 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Curtis's card is shown to Curtis. Clifford's card is shown to Clifford. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3|4) ] (Agentb knows whether (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3|4) ] 0 | Clifford can now know whether or not everyone picked a red card. | explicit | 0 | 4 | not_entailment | [
"Curtis",
"Clifford",
"Michael",
"Martha"
] | 734 | explicit-0 | 0 | 0.992931 | 0.007069 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Edward's card is shown to Minerva. Minerva's card is shown to Edward. Minerva's card is shown to Anna. Edward's card is shown to Anna. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] Agentc knows whether (Agentb knows that (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Anna can now know whether Edward can know that someone picked a red card. | explicit | 1 | 3 | entailment | [
"Minerva",
"Edward",
"Anna"
] | 37,061 | explicit-1 | 1 | 0.999403 | 0.000597 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sarah 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) ] [ ! (Agenta knows whether (1&2&3)) ] Agentb knows whether (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 | Margaret can now know whether Sarah can know that Sarah's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Sarah",
"Margaret",
"John"
] | 14,712 | forehead-0 | 1 | 0.937605 | 1.937605 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that John knows whether Ashley'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) ] Agenta knows whether (Agentc knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] 0 | Ashley can now know whether John can know whether someone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Ashley",
"Annabelle",
"John"
] | 777 | forehead_mirror-1 | 1 | 0.999359 | 0.000641 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Daniel does not know whether or not everyone's forehead is muddy. It is publicly announced that Daniel does not know whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] Agenta knows that (Agentb knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Jeffery can now know that Daniel can know that everyone's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Jeffery",
"Daniel"
] | 48,962 | forehead-0 | 0 | 0.998237 | 0.001763 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Alan's card is shown to James. James's card is shown to John. John's card is shown to John. Ida's card is shown to John. James's card is shown to Alan. Ida's card is shown to Alan. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2,3 Agentc:1,3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows whether (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2,3 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0 | James can now know whether John can know whether or not nobody picked a red card. | explicit | 1 | 4 | entailment | [
"James",
"John",
"Ida",
"Alan"
] | 34,943 | explicit-1 | 1 | 0.99931 | 0.00069 |
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 Charles knows whether Virginia'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 2) ] (Agentd knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 2) ] 0 | Charles can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Wayne",
"Virginia",
"Doreen",
"Charles"
] | 31,583 | forehead_mirror-0 | 0 | 0.999011 | 0.000989 |
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 Donna's forehead is not 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) ] [ ! ~(2) ] [ ! (1|2) ] Agenta knows whether (Agentb knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! (1|2) ] 0 | Judy can now know whether Donna can know that Judy's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Judy",
"Donna"
] | 10,952 | forehead_mirror-1 | 1 | 0.999387 | 0.000613 |
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. Corrine's card is shown to Robert. Tammy's card is shown to Robert. Robert's card is shown to Corrine. Robert's card is shown to Tammy. It is publicly announced that someone picked a red card. It is publicly announced that Tammy picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! 3 ] (Agentb knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! 3 ] 0 | Corrine can now know that nobody picked a red card. | explicit | 0 | 3 | not_entailment | [
"Robert",
"Corrine",
"Tammy"
] | 33,789 | explicit-0 | 0 | 0.999045 | 0.000955 |
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 Robert knows whether Oscar's forehead is muddy. It is publicly announced that Audrey's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 1) ] [ ! 3 ] (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) ] [ ! (Agentd knows whether 1) ] [ ! 3 ] 0 | Audrey can now know whether or not everyone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Oscar",
"Kenneth",
"Audrey",
"Robert"
] | 18,295 | forehead_mirror-1 | 1 | 0.999289 | 0.000711 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Dorothy's forehead is not muddy. It is publicly announced that Dorothy's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! ~(2) ] (Agenta knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! ~(2) ] 0 | Stephanie can now know whether Dorothy's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Stephanie",
"Dorothy"
] | 13,214 | forehead-1 | 1 | 0.999193 | 0.000807 |
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 Mark knows whether Michael'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) ] (Agentb knows that 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) ] [ ! (Agentc knows whether 4) ] 0 | Ryan can now know that Ryan's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Joshua",
"Ryan",
"Mark",
"Michael"
] | 44,722 | forehead_mirror-0 | 0 | 0.998185 | 0.001815 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amber's card is shown to James. James's card is shown to Amber. Amber's card is shown to Amber. Nichol's card is shown to Amber. Amber's card is shown to Nichol. Joaquin's card is shown to Joaquin. It is publicly announced that someone picked a red card. It is publicly announced that Joaquin picked a red card. It is publicly announced that James picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:2 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(1) ] (Agenta knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:2 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(1) ] 0 | James can now know that Amber picked a red card. | explicit | 0 | 4 | not_entailment | [
"James",
"Amber",
"Nichol",
"Joaquin"
] | 38,963 | explicit-0 | 0 | 0.693037 | 0.306963 |
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 Lynne knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 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) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | John can now know that Lynne can know that Roberto's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"John",
"Lynne",
"Roberto"
] | 43,736 | forehead_mirror-0 | 0 | 0.997613 | 0.002387 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether or not everyone is thirsty. It is publicly announced that Dawn knows whether David is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 3) ] Agenta knows that (Agentb knows that (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 3) ] 0 | Kathleen can now know that James can know that everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Kathleen",
"James",
"David",
"Dawn"
] | 8,445 | internal-0 | 0 | 0.998418 | 0.001582 |
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 everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (1&2) ] Agentb knows whether (Agenta knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (1&2) ] 0 | Rachel can now know whether Christopher can know whether Rachel's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Christopher",
"Rachel"
] | 35,619 | forehead_mirror-1 | 1 | 0.999438 | 0.000562 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Barbara's card is shown to Barbara. Barbara's card is shown to Lola. Lola's card is shown to Lola. It is publicly announced that someone picked a red card. It is publicly announced that Barbara picked a black card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(1) ] Agenta knows that (Agentb knows whether (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(1) ] 0 | Barbara can now know that Lola can know whether or not everyone picked a red card. | explicit | 1 | 2 | entailment | [
"Barbara",
"Lola"
] | 26,597 | explicit-1 | 1 | 0.772322 | 0.227678 |