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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| hypothesis
stringlengths 37
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sequencelengths 2
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int64 1
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int64 0
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Helene's card is shown to Helene. Michael's card is shown to Michael. Michael's card is shown to Amanda. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agentc knows whether (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:3 VALID? [ ! (1|2|3|4) ] 0 | Michael can now know whether or not nobody picked a red card. | explicit | 0 | 4 | entailment | [
"Helene",
"Tanya",
"Michael",
"Amanda"
] | 27,864 | explicit-1 | 1 | 0.999721 | 0.000279 |
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'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) ] [ ! ~(3) ] (Agentc 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) ] [ ! ~(3) ] 0 | William can now know that James's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Marvin",
"James",
"William",
"Stephen"
] | 52,080 | forehead-0 | 0 | 0.991604 | 0.008396 |
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 Ann knows whether Marvin's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] (Agenta knows 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) ] [ ! (Agentc knows whether 4) ] 0 | Jean can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Jean",
"Alexander",
"Ann",
"Marvin"
] | 6,156 | forehead_mirror-0 | 0 | 0.998507 | 0.001493 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joseph's card is shown to Joseph. Brian's card is shown to Mary. Joseph's card is shown to Mary. Mary's card is shown to Tracy. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentc knows that (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3|4) ] 0 | Joseph can now know whether Mary can know that nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Brian",
"Joseph",
"Mary",
"Tracy"
] | 67,247 | explicit-1 | 1 | 0.999589 | 0.000411 |
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 Rachel knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] (Agentd knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0 | James can now know that Sylvia's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Sylvia",
"Rachel",
"Alton",
"James"
] | 32,911 | forehead_mirror-0 | 0 | 0.998037 | 0.001963 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joyce does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agentd knows whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | Joyce can now know whether Amanda is thirsty. | internal | 0 | 4 | not_entailment | [
"Amanda",
"Brendan",
"Todd",
"Joyce"
] | 34,189 | internal-0 | 0 | 0.864436 | 0.135564 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Danny's card is shown to Esther. Kathy's card is shown to Esther. Sadie's card is shown to Sadie. Kathy's card is shown to Sadie. Esther's card is shown to Danny. Sadie's card is shown to Kathy. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentd knows whether 1) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] 0 | Sadie can now know that Kathy can know whether Esther picked a red card. | explicit | 1 | 4 | not_entailment | [
"Esther",
"Sadie",
"Danny",
"Kathy"
] | 21,872 | explicit-0 | 0 | 0.675605 | 0.324395 |
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 Micheal. Jesse's card is shown to Robert. Jesse's card is shown to Jesse. It is publicly announced that someone picked a red card. It is publicly announced that Jesse does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows that (Agentb knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Micheal can now know that Robert can know that nobody picked a red card. | explicit | 1 | 3 | not_entailment | [
"Micheal",
"Robert",
"Jesse"
] | 17,850 | explicit-0 | 0 | 0.997882 | 0.002118 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Gary knows whether or not everyone'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) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 2) ] (Agentd knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 2) ] 0 | Salvador can now know whether Salvador's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Brett",
"Gary",
"Hazel",
"Salvador"
] | 43,526 | forehead-0 | 0 | 0.771053 | 0.228947 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agentc knows that (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) ] [ ! (1|2|3) ] 0 | Terri can now know that David can know that everyone's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"David",
"John",
"Terri"
] | 15,955 | forehead_mirror-0 | 0 | 0.998406 | 0.001594 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Pauline does not know whether Jerry 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) ] (Agentd 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) ] [ ! ~(Agentd knows whether 1) ] 0 | Pauline can now know that nobody is thirsty. | internal | 0 | 4 | not_entailment | [
"Jerry",
"Jacqueline",
"Rebecca",
"Pauline"
] | 65,627 | internal-0 | 0 | 0.998229 | 0.001771 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agentb knows that (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] 0 | Almeda can now know whether Brendan can know that someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Dena",
"Brendan",
"Tammy",
"Almeda"
] | 48,474 | forehead-1 | 1 | 0.999761 | 0.000239 |
There are three 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. | 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 (Agentb knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Larry can now know whether Barbara can know whether someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Larry",
"Barbara",
"Karyn"
] | 19,338 | forehead-1 | 1 | 0.99978 | 0.00022 |
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 Ronald's forehead is not muddy. It is publicly announced that Loreta 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)) ] 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) ] [ ! ~(3) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Vicky can now know that Ronald can know that Vicky's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Loreta",
"Michael",
"Ronald",
"Vicky"
] | 47,187 | forehead_mirror-0 | 0 | 0.895638 | 0.104362 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Glenn's card is shown to Glenn. Inga's card is shown to Glenn. Inga's card is shown to Mable. Inga's card is shown to Inga. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] (Agentc knows that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Inga can now know that Mable picked a red card. | explicit | 0 | 3 | not_entailment | [
"Glenn",
"Mable",
"Inga"
] | 60,112 | explicit-0 | 0 | 0.998263 | 0.001737 |
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 Alfred knows whether Joshua's forehead is muddy. It is publicly announced that Alfred knows whether Joshua's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] Agenta knows whether (Agentc knows whether 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] 0 | Alfred can now know whether Denise can know whether Joshua's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Alfred",
"Joshua",
"Denise",
"Frances"
] | 1,815 | forehead_mirror-1 | 1 | 0.999732 | 0.000268 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jody's card is shown to Jody. William's card is shown to William. It is publicly announced that someone picked a red card. It is publicly announced that William does not know whether Jody picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2)) ] Agentb knows whether (Agenta knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2)) ] 0 | William can now know whether Jody can know that everyone picked a red card. | explicit | 1 | 2 | entailment | [
"Jody",
"William"
] | 52,726 | explicit-1 | 1 | 0.994215 | 0.005785 |
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 Dora knows whether someone's forehead is muddy. It is publicly announced that Clarence knows whether or not nobody's forehead is muddy. It is publicly announced that Clarence knows whether Dora's forehead is muddy. It is publicly announced that Joseph knows whether Joseph's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! (Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] Agentc knows that (Agentb knows that 3) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! (Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] 0 | Clarence can now know that Joseph can know that Clarence's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Dora",
"Joseph",
"Clarence"
] | 43,253 | forehead_mirror-0 | 0 | 0.997066 | 0.002934 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ali's card is shown to Patricia. Ronnie's card is shown to Mary. Ali's card is shown to Mary. Ali's card is shown to Ronnie. Ronnie's card is shown to Ali. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] (Agenta knows that (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] 0 | Patricia can now know that everyone picked a red card. | explicit | 0 | 4 | not_entailment | [
"Patricia",
"Mary",
"Ronnie",
"Ali"
] | 30,856 | explicit-0 | 0 | 0.998519 | 0.001481 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jonathan's card is shown to Laura. Laura's card is shown to Jonathan. Jonathan's card is shown to Jonathan. It is publicly announced that someone picked a red card. It is publicly announced that Jonathan knows whether Jonathan picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] (Agentb knows that 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] 0 | Jonathan can now know that Laura picked a red card. | explicit | 0 | 2 | not_entailment | [
"Laura",
"Jonathan"
] | 64,639 | explicit-0 | 0 | 0.995904 | 0.004096 |
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 Victor is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(2) ] (Agentb knows that 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(2) ] 0 | Victor can now know that Victor is thirsty. | internal | 0 | 3 | not_entailment | [
"Sophie",
"Victor",
"Mark"
] | 6,878 | internal-0 | 1 | 0.786627 | 1.786627 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lula's card is shown to Elsy. Janet's card is shown to Elsy. Lula's card is shown to Lula. Harold's card is shown to Lula. Janet's card is shown to Harold. Harold's card is shown to Janet. It is publicly announced that someone picked a red card. It is publicly announced that Janet does not know whether Lula picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,3 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] Agenta knows that (Agentd knows whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,3 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] 0 | Elsy can now know that Janet can know whether Elsy picked a red card. | explicit | 1 | 4 | not_entailment | [
"Elsy",
"Lula",
"Harold",
"Janet"
] | 61,512 | explicit-0 | 0 | 0.918209 | 0.081791 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elizabeth is not thirsty. It is publicly announced that Virginia knows whether Elizabeth is thirsty. It is publicly announced that Elizabeth does not know whether Armando is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! (Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] (Agentb knows that 1) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! (Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] 0 | Lee can now know that Virginia is thirsty. | internal | 0 | 4 | not_entailment | [
"Virginia",
"Lee",
"Armando",
"Elizabeth"
] | 20,881 | internal-0 | 0 | 0.990364 | 0.009636 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Shirley knows whether someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] Agentc knows whether (Agentd knows whether 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) ] [ ! (Agentd knows whether (1|2|3|4)) ] 0 | Joe can now know whether Shirley can know whether Joe's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Christopher",
"James",
"Joe",
"Shirley"
] | 66,807 | forehead-1 | 1 | 0.99176 | 0.00824 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentd knows whether (Agentc knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0 | Jess can now know whether Lisa can know that Lisa's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Sheridan",
"Michael",
"Lisa",
"Jess"
] | 42,878 | forehead_mirror-1 | 1 | 0.999574 | 0.000426 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paul's card is shown to Paul. Paul's card is shown to Ruth. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows whether (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] 0 | Paul can now know that Ruth can know whether someone picked a red card. | explicit | 1 | 3 | entailment | [
"Paul",
"Ruth",
"Dessie"
] | 28,016 | explicit-1 | 1 | 0.99977 | 0.00023 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Billy does not know whether Wayne is thirsty. It is publicly announced that Teresita does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentc knows that (Agenta knows whether (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | William can now know that Wayne can know whether or not everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Wayne",
"Teresita",
"William",
"Billy"
] | 49,874 | internal-0 | 0 | 0.679303 | 0.320697 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Audra is thirsty. It is publicly announced that John does not know whether or not everyone is thirsty. It is publicly announced that John does not know whether Michelle is thirsty. It is publicly announced that Audra does not know whether Michelle 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 (1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 1) ] Agentd knows that (Agentc knows that (1|2|3|4)) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 1) ] 0 | John can now know that Audra can know that someone is thirsty. | internal | 1 | 4 | entailment | [
"Michelle",
"Patricia",
"Audra",
"John"
] | 11,837 | internal-1 | 1 | 0.999781 | 0.000219 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Albert's card is shown to Charles. Albert's card is shown to Albert. Albert's card is shown to Joseph. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] Agentc knows whether (Agenta knows that 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] 0 | Joseph can now know whether Charles can know that Charles picked a red card. | explicit | 1 | 3 | entailment | [
"Charles",
"Albert",
"Joseph"
] | 48,837 | explicit-1 | 0 | 0.645927 | 1.645927 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brett's card is shown to Robin. Regina's card is shown to Robin. Robin's card is shown to Brett. Regina's card is shown to Brett. Regina's card is shown to Homer. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows whether 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] 0 | Robin can now know whether Regina can know whether Homer picked a red card. | explicit | 1 | 4 | entailment | [
"Robin",
"Brett",
"Regina",
"Homer"
] | 40,121 | explicit-1 | 1 | 0.998552 | 0.001448 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mindy's card is shown to Mindy. William's card is shown to William. Eric's card is shown to William. Eric's card is shown to Eric. Mindy's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (Agentd knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0 | Robert can now know whether Eric picked a red card. | explicit | 0 | 4 | not_entailment | [
"Mindy",
"William",
"Eric",
"Robert"
] | 6,163 | explicit-0 | 1 | 0.731491 | 1.731491 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to David. David's card is shown to Michael. Michael's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that Michael knows whether Michael picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] (Agenta knows that 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] 0 | David can now know that David picked a red card. | explicit | 0 | 2 | not_entailment | [
"David",
"Michael"
] | 45,664 | explicit-0 | 0 | 0.995272 | 0.004728 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jesus's card is shown to Ben. Andrew's card is shown to Ben. Cheryl's card is shown to Cheryl. Cheryl's card is shown to Jesus. Jesus's card is shown to Jesus. Andrew's card is shown to Andrew. It is publicly announced that someone picked a red card. It is publicly announced that Jesus knows whether Jesus picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:2,3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] (Agenta knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:2,3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] 0 | Ben can now know that Jesus picked a red card. | explicit | 0 | 4 | not_entailment | [
"Ben",
"Cheryl",
"Jesus",
"Andrew"
] | 47,901 | explicit-0 | 0 | 0.992623 | 0.007377 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Benjamin does not know whether or not everyone's forehead is muddy. It is publicly announced that Beatrice knows whether or not nobody's forehead is muddy. It is publicly announced that Benjamin 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) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc 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 (1&2&3)) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Beatrice can now know whether Beatrice's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Alyce",
"Benjamin",
"Beatrice"
] | 47,982 | forehead-1 | 1 | 0.517958 | 0.482042 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Tracy does not know whether Tracy's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] Agentd knows that (Agentb 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) ] [ ! ~(Agentd knows whether 4) ] 0 | Tracy can now know that Elsie can know whether Elsie's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Edith",
"Elsie",
"Dianna",
"Tracy"
] | 67,283 | forehead-0 | 0 | 0.976369 | 0.023631 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kristi's card is shown to Jackie. Gary's card is shown to Jackie. Jackie's card is shown to Kristi. Kristi's card is shown to Kristi. Gary's card is shown to Kristi. Jackie's card is shown to Gary. Raymond's card is shown to Gary. Raymond's card is shown to Raymond. It is publicly announced that someone picked a red card. It is publicly announced that Raymond does not know whether Gary picked a red card. It is publicly announced that Raymond does not know whether Kristi picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,2,3 Agentc:1,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether 2) ] (Agentc knows that (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,2,3 Agentc:1,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether 2) ] 0 | Gary can now know that someone picked a red card. | explicit | 0 | 4 | entailment | [
"Jackie",
"Kristi",
"Gary",
"Raymond"
] | 63,897 | explicit-1 | 1 | 0.999779 | 0.000221 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Bruce's card is shown to Pamela. Jefferson's card is shown to Pamela. Vito's card is shown to Pamela. Pamela's card is shown to Jefferson. Jefferson's card is shown to Jefferson. Jefferson's card is shown to Vito. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agentb knows that 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] 0 | Bruce can now know that Bruce picked a red card. | explicit | 0 | 4 | not_entailment | [
"Pamela",
"Bruce",
"Jefferson",
"Vito"
] | 37,796 | explicit-0 | 0 | 0.997493 | 0.002507 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joanna's card is shown to Joanna. Donald's card is shown to Joanna. Donald's card is shown to Donald. It is publicly announced that someone picked a red card. It is publicly announced that Donald does not know whether Joanna picked a red card. It is publicly announced that Donald does not know whether or not everyone picked a red card. It is publicly announced that Donald does not know whether or not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] (Agentb knows that (1|2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Donald can now know that someone picked a red card. | explicit | 0 | 2 | entailment | [
"Joanna",
"Donald"
] | 34,365 | explicit-1 | 1 | 0.999774 | 0.000226 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John does not know whether or not everyone's forehead is muddy. It is publicly announced that John's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! 1 ] (Agentb knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! 1 ] 0 | Jose can now know whether Jose's forehead is muddy. | forehead | 0 | 2 | entailment | [
"John",
"Jose"
] | 65,026 | forehead-1 | 0 | 0.615077 | 1.615077 |
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 Isabel'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) ] (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) ] [ ! ~(4) ] 0 | Isabel can now know that someone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Glennis",
"Jane",
"Gretchen",
"Isabel"
] | 57,604 | forehead_mirror-1 | 1 | 0.999775 | 0.000225 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Terry knows whether someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agenta 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) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0 | Irene can now know whether Bonnie's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Irene",
"Bonnie",
"Terry",
"Cheryl"
] | 3,947 | forehead-1 | 1 | 0.999573 | 0.000427 |
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 (Agentc knows whether 3) | 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 | Isreal can now know whether Glenda can know whether Glenda's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Isreal",
"Sergio",
"Glenda",
"Amanda"
] | 58,050 | forehead-0 | 0 | 0.989453 | 0.010547 |
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 Warren 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) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] (Agenta knows whether 2) | 2 | 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)) ] 0 | Warren can now know whether Charles's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Warren",
"Charles",
"Robert"
] | 36,547 | forehead-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). Delilah's card is shown to Carole. Carole's card is shown to Delilah. Richard's card is shown to Delilah. Howard's card is shown to Howard. Richard's card is shown to Howard. Carole's card is shown to Richard. Howard's card is shown to Richard. Richard's card is shown to Richard. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:3,4 Agentd:1,3,4 VALID? [ ! (1|2|3|4) ] (Agentc knows whether (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:3,4 Agentd:1,3,4 VALID? [ ! (1|2|3|4) ] 0 | Howard can now know whether or not everyone picked a red card. | explicit | 0 | 4 | not_entailment | [
"Carole",
"Delilah",
"Howard",
"Richard"
] | 45,967 | explicit-0 | 0 | 0.985965 | 0.014035 |
There are two 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. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] Agentb knows that (Agenta knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] 0 | Debra can now know that Kevin can know whether Debra's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Kevin",
"Debra"
] | 55,259 | forehead-1 | 1 | 0.998906 | 0.001094 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Elizebeth knows whether Kevin'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) ] [ ! (~(1&2&3&4)) ] [ ! (Agentc knows whether 1) ] Agentb knows that (Agenta 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) ] [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (Agentc knows whether 1) ] 0 | Boris can now know that Kevin can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Kevin",
"Boris",
"Elizebeth",
"William"
] | 24,370 | forehead_mirror-0 | 0 | 0.998482 | 0.001518 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Wendy knows whether someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 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)) ] [ ! (~(1&2&3&4)) ] [ ! (~(1&2&3&4)) ] (Agentd knows that (~(1|2|3|4))) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! (~(1&2&3&4)) ] [ ! (~(1&2&3&4)) ] 0 | Norma can now know that nobody's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Joshua",
"Wendy",
"Elizabeth",
"Norma"
] | 10,162 | forehead-0 | 0 | 0.998356 | 0.001644 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Teresa does not know whether Teresa's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] (Agentb knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] 0 | Teresa can now know whether someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Sherri",
"Teresa",
"Kevin"
] | 3,712 | forehead-1 | 1 | 0.999756 | 0.000244 |
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 Suzanne knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] (Agenta knows whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0 | Kent can now know whether Kent's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Kent",
"Suzanne",
"Walter",
"Sara"
] | 18,719 | forehead_mirror-1 | 1 | 0.999474 | 0.000526 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria is thirsty. It is publicly announced that Maria knows whether Maria is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] [ ! (Agenta knows whether 1) ] (Agentb knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] [ ! (Agenta knows whether 1) ] 0 | Orlando can now know that Maria is thirsty. | internal | 0 | 2 | entailment | [
"Maria",
"Orlando"
] | 11,946 | internal-1 | 1 | 0.967968 | 0.032032 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to Vincent. It is publicly announced that someone picked a red card. It is publicly announced that Vincent picked a black card. | VARS 1,2 LAW Top OBS Agenta:2 VALID? [ ! (1|2) ] [ ! ~(1) ] (Agenta knows whether (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 VALID? [ ! (1|2) ] [ ! ~(1) ] 0 | Vincent can now know whether or not everyone picked a red card. | explicit | 0 | 2 | entailment | [
"Vincent",
"John"
] | 14,106 | explicit-1 | 0 | 0.637346 | 1.637346 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Bobby knows whether Charles's forehead is muddy. It is publicly announced that Bobby 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 2) ] [ ! ~(Agenta knows whether (1&2)) ] Agentb knows whether (Agenta knows that (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] 0 | Charles can now know whether Bobby can know that someone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Bobby",
"Charles"
] | 22,008 | forehead-1 | 1 | 0.999781 | 0.000219 |
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 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) ] Agentd knows that (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) ] [ ! (1&2&3&4) ] 0 | Carlos can now know that Robert can know that Carlos's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Robert",
"Anna",
"Roberto",
"Carlos"
] | 21,651 | forehead_mirror-1 | 1 | 0.996405 | 0.003595 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lowell's card is shown to Anna. Anna's card is shown to Lowell. Joseph's card is shown to Lowell. Joseph's card is shown to Joseph. It is publicly announced that someone picked a red card. It is publicly announced that Joseph does not know whether Anna picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] Agentb knows whether (Agentc knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] 0 | Lowell can now know whether Joseph can know that everyone picked a red card. | explicit | 1 | 3 | entailment | [
"Anna",
"Lowell",
"Joseph"
] | 12,755 | explicit-1 | 1 | 0.996009 | 0.003991 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Andrew knows whether Andrew is thirsty. It is publicly announced that Andrew is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! ~(3) ] (Agentc knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! ~(3) ] 0 | Andrew can now know that Clifford is thirsty. | internal | 0 | 3 | not_entailment | [
"Clifford",
"Eric",
"Andrew"
] | 6,179 | internal-0 | 0 | 0.98542 | 0.01458 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amy's card is shown to Amy. Amy's card is shown to Robert. Amy's card is shown to Alfonso. Robert's card is shown to Donovan. It is publicly announced that someone picked a red card. It is publicly announced that Alfonso does not know whether Alfonso picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] Agentd knows whether (Agenta knows whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] 0 | Donovan can now know whether Amy can know whether Amy picked a red card. | explicit | 1 | 4 | entailment | [
"Amy",
"Robert",
"Alfonso",
"Donovan"
] | 49,847 | explicit-1 | 1 | 0.994768 | 0.005232 |
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 Eddie knows whether or not everyone's forehead is muddy. It is publicly announced that Eddie knows whether someone's forehead is muddy. It is publicly announced that Eddie knows whether Eddie'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 (1|2)) ] [ ! (Agenta knows whether 1) ] (Agenta 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 (1|2)) ] [ ! (Agenta knows whether 1) ] 0 | Eddie can now know that someone's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Eddie",
"Rebecca"
] | 7,647 | forehead_mirror-1 | 1 | 0.999778 | 0.000222 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that James's forehead is not muddy. It is publicly announced that James knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2|3)) ] (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) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2|3)) ] 0 | James can now know that everyone's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Natasha",
"James",
"Linda"
] | 60,100 | forehead-0 | 0 | 0.998679 | 0.001321 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Chanda's card is shown to Robert. Jose's card is shown to Karl. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 VALID? [ ! (1|2|3|4) ] (Agenta knows that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 VALID? [ ! (1|2|3|4) ] 0 | Robert can now know that Karl picked a red card. | explicit | 0 | 4 | not_entailment | [
"Robert",
"Jose",
"Karl",
"Chanda"
] | 2,050 | explicit-0 | 0 | 0.998513 | 0.001487 |
There are four 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. | 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 that (Agentc 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 | Timothy can now know that Trinidad can know that someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Jeffrey",
"Jaime",
"Trinidad",
"Timothy"
] | 34,015 | forehead-1 | 1 | 0.999777 | 0.000223 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Louis's card is shown to Clara. John's card is shown to Clara. Cory's card is shown to Cory. Clara's card is shown to John. Louis's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that Cory picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] (Agentb knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0 | Cory can now know whether Louis picked a red card. | explicit | 0 | 4 | not_entailment | [
"Clara",
"Cory",
"Louis",
"John"
] | 55,492 | explicit-0 | 1 | 0.724759 | 1.724759 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christopher's card is shown to Pamela. Pamela's card is shown to Christopher. Irma's card is shown to Christopher. Christopher's card is shown to Irma. It is publicly announced that someone picked a red card. It is publicly announced that Christopher does not know whether Christopher picked a red card. It is publicly announced that Irma does not know whether Pamela picked a red card. It is publicly announced that Pamela does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentc knows that 1) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Irma can now know that Pamela picked a red card. | explicit | 0 | 3 | not_entailment | [
"Pamela",
"Christopher",
"Irma"
] | 36,808 | explicit-0 | 0 | 0.610395 | 0.389605 |
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 Barbara knows whether Barbara's forehead is muddy. It is publicly announced that Jennifer knows whether Martha's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! (Agentc knows whether 1) ] Agentb knows that (Agenta 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) ] [ ! (Agentb knows whether 2) ] [ ! (Agentc knows whether 1) ] 0 | Barbara can now know that Martha can know whether Barbara's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Martha",
"Barbara",
"Jennifer"
] | 6,170 | forehead_mirror-1 | 1 | 0.999742 | 0.000258 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jose does not know whether Robert is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] Agenta knows whether (Agentc knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0 | Elizabeth can now know whether Robert can know that John is thirsty. | internal | 1 | 4 | entailment | [
"Elizabeth",
"Jose",
"Robert",
"John"
] | 41,960 | internal-1 | 1 | 0.992856 | 0.007144 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carl's card is shown to Percy. Ola's card is shown to Carl. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (Agentb knows that 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0 | Carl can now know that Carl picked a red card. | explicit | 0 | 4 | not_entailment | [
"Percy",
"Carl",
"Charles",
"Ola"
] | 8,743 | explicit-0 | 0 | 0.862554 | 0.137446 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ann does not know whether Lisa is thirsty. It is publicly announced that Ann does not know whether or not everyone is thirsty. It is publicly announced that Chung knows whether Ann is thirsty. It is publicly announced that Lisa 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) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentb knows whether (Agenta knows whether (~(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) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Ann can now know whether Chung can know whether or not nobody is thirsty. | internal | 1 | 3 | entailment | [
"Chung",
"Ann",
"Lisa"
] | 41,761 | internal-1 | 1 | 0.999684 | 0.000316 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Tomasa does not know whether Tomasa's forehead is muddy. It is publicly announced that Helen does not know whether Helen's forehead is muddy. It is publicly announced that Tomasa 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 3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] Agentd knows whether (Agenta knows that (1&2&3&4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0 | Stella can now know whether Helen can know that everyone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Helen",
"Roger",
"Tomasa",
"Stella"
] | 50,075 | forehead-1 | 1 | 0.996233 | 0.003767 |
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) ] Agenta knows that (Agentc knows whether 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Alfonzo can now know that Edward can know whether Edward's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Alfonzo",
"Jayne",
"Edward"
] | 51,165 | forehead-0 | 0 | 0.994161 | 0.005839 |
There are three 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. | 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 that (Agentc 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) ] [ ! (1&2&3) ] 0 | Jean can now know that Joshua can know that nobody's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Jean",
"James",
"Joshua"
] | 34,430 | forehead-0 | 0 | 0.994037 | 0.005963 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Maria knows whether Maria's forehead is muddy. It is publicly announced that Matthew 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) ] [ ! (Agentc knows whether (1&2&3)) ] Agentb knows that (Agenta knows whether 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! (Agentc knows whether (1&2&3)) ] 0 | Jerry can now know that Maria can know whether Matthew's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Maria",
"Jerry",
"Matthew"
] | 41,012 | forehead-1 | 1 | 0.999424 | 0.000576 |
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 Colin knows whether someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agentc knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Sherry can now know whether Sherry's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Tina",
"Colin",
"Sherry",
"Jessica"
] | 30,371 | forehead_mirror-1 | 1 | 0.998365 | 0.001635 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mac knows whether Mac'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) ] Agentd knows that (Agentc 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) ] [ ! (Agenta knows whether 1) ] 0 | Beverly can now know that Michael can know that nobody's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Mac",
"Melissa",
"Michael",
"Beverly"
] | 56,275 | forehead-0 | 0 | 0.998308 | 0.001692 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph knows whether or not nobody is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] Agentb knows that (Agenta 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) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0 | Billy can now know that Joseph can know that everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Joseph",
"Billy",
"Judy",
"Rose"
] | 66,314 | internal-0 | 0 | 0.998422 | 0.001578 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Maxine's card is shown to Lacy. Lacy's card is shown to Wilma. Maxine's card is shown to Paula. It is publicly announced that someone picked a red card. It is publicly announced that Lacy picked a red card. It is publicly announced that Lacy does not know whether Wilma picked a red card. It is publicly announced that Wilma does not know whether Paula picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 4) ] Agentc knows whether (Agentb knows that (1|2|3|4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 4) ] 0 | Wilma can now know whether Lacy can know that someone picked a red card. | explicit | 1 | 4 | entailment | [
"Maxine",
"Lacy",
"Wilma",
"Paula"
] | 50,410 | explicit-1 | 1 | 0.999772 | 0.000228 |
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 Tyler knows whether or not nobody's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether (~(1|2))) ] Agentb knows whether (Agenta knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether (~(1|2))) ] 0 | Wilma can now know whether Tyler can know whether Wilma's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Tyler",
"Wilma"
] | 54,070 | forehead-1 | 1 | 0.998919 | 0.001081 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria does not know whether Jose is thirsty. It is publicly announced that Carrie does not know whether Jose is thirsty. It is publicly announced that Carrie does not know whether Jose is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows whether 1) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 2) ] 0 | Carrie can now know whether Maria is thirsty. | internal | 0 | 3 | not_entailment | [
"Maria",
"Jose",
"Carrie"
] | 9,064 | internal-0 | 0 | 0.947706 | 0.052294 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Greg does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentb knows that (Agentc knows whether (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | John can now know that Thomas can know whether or not nobody is thirsty. | internal | 1 | 4 | entailment | [
"Crystal",
"John",
"Thomas",
"Greg"
] | 20,945 | internal-1 | 1 | 0.999718 | 0.000282 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rachel's card is shown to Kendall. Rachel's card is shown to Rachel. Robert's card is shown to Rachel. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (1|2|3) ] (Agentb knows that (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (1|2|3) ] 0 | Rachel can now know that everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Kendall",
"Rachel",
"Robert"
] | 30,087 | explicit-0 | 0 | 0.998577 | 0.001423 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tina's card is shown to Carlene. Scott's card is shown to Scott. Tina's card is shown to Scott. Scott's card is shown to Tina. Tina's card is shown to Tina. It is publicly announced that someone picked a red card. It is publicly announced that Tina picked a red card. It is publicly announced that Tina does not know whether Carlene picked a red card. It is publicly announced that Tina knows whether someone picked a red card. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (1|2|3) ] (Agentc knows that 2) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (1|2|3) ] 0 | Tina can now know that Scott picked a red card. | explicit | 0 | 3 | not_entailment | [
"Carlene",
"Scott",
"Tina"
] | 59,279 | explicit-0 | 0 | 0.573721 | 0.426279 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Michelle 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))) ] Agentb knows whether (Agenta 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) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0 | Lucinda can now know whether James can know whether William's forehead is muddy. | forehead | 1 | 4 | entailment | [
"James",
"Lucinda",
"Michelle",
"William"
] | 51,179 | forehead-1 | 1 | 0.999478 | 0.000522 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lynette's card is shown to Alma. Christopher's card is shown to Alma. Alma's card is shown to Lynette. Alma's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that Christopher does not know whether Lynette picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] 0 | Christopher can now know whether Lynette picked a red card. | explicit | 0 | 3 | not_entailment | [
"Alma",
"Lynette",
"Christopher"
] | 13,352 | explicit-0 | 0 | 0.802827 | 0.197173 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Yvonne's card is shown to Michael. Michael's card is shown to Yvonne. Elizabeth's card is shown to Elizabeth. It is publicly announced that someone picked a red card. It is publicly announced that Elizabeth does not know whether Nellie picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] Agentb knows that (Agenta knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] 0 | Yvonne can now know that Michael can know that everyone picked a red card. | explicit | 1 | 4 | not_entailment | [
"Michael",
"Yvonne",
"Elizabeth",
"Nellie"
] | 15,433 | explicit-0 | 0 | 0.998208 | 0.001792 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Pei knows whether Pei's forehead is muddy. It is publicly announced that Billy knows whether or not everyone's forehead is muddy. It is publicly announced that Dalila knows whether Pei's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether 2) ] Agentc knows whether (Agenta knows whether (~(1|2|3|4))) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether 2) ] 0 | Dalila can now know whether Billy can know whether or not nobody's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Billy",
"Pei",
"Dalila",
"Miles"
] | 62,253 | forehead-1 | 1 | 0.9997 | 0.0003 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jane does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agenta knows whether (Agentc knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Jane can now know whether Carol can know that Jane is thirsty. | internal | 1 | 4 | entailment | [
"Jane",
"Anthony",
"Carol",
"William"
] | 66,434 | internal-1 | 1 | 0.995714 | 0.004286 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Andrew knows whether someone 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 that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] 0 | Andrew can now know that nobody is thirsty. | internal | 0 | 3 | not_entailment | [
"Debra",
"Thomas",
"Andrew"
] | 53,511 | internal-0 | 0 | 0.99814 | 0.00186 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carl does not know whether Christopher is thirsty. It is publicly announced that Carl is not thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(3) ] [ ! (~(1&2&3&4)) ] Agentb knows whether (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) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(3) ] [ ! (~(1&2&3&4)) ] 0 | Erin can now know whether Olivia can know whether someone is thirsty. | internal | 1 | 4 | entailment | [
"Olivia",
"Erin",
"Carl",
"Christopher"
] | 29,702 | internal-1 | 1 | 0.99978 | 0.00022 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John knows whether Christopher's forehead is muddy. It is publicly announced that Christopher 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) ] [ ! (Agentb knows whether 3) ] [ ! ~(Agentc knows whether (1&2&3)) ] (Agenta knows that (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Patricia can now know that someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Patricia",
"John",
"Christopher"
] | 34,329 | forehead-1 | 1 | 0.999774 | 0.000226 |
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 Peter does not know whether Andres 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) ] Agenta knows that (Agentb knows that (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 2) ] 0 | James can now know that Andres can know that everyone is thirsty. | internal | 1 | 3 | not_entailment | [
"James",
"Andres",
"Peter"
] | 63,030 | internal-0 | 0 | 0.998482 | 0.001518 |
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 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 ] (Agentb knows whether 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) ] [ ! 2 ] 0 | Mary can now know whether Michael's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Michael",
"Mary",
"Walter",
"Lisa"
] | 15,309 | forehead-1 | 1 | 0.999495 | 0.000505 |
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 Nathaniel knows whether someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agenta knows whether (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0 | Alta can now know whether someone is thirsty. | internal | 0 | 4 | entailment | [
"Alta",
"Rachel",
"Nathaniel",
"James"
] | 9,525 | internal-1 | 1 | 0.999784 | 0.000216 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ruth knows whether or not everyone is thirsty. It is publicly announced that Miranda knows whether Miranda 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 that 2) | 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 | Miranda can now know that Ruth is thirsty. | internal | 0 | 2 | not_entailment | [
"Miranda",
"Ruth"
] | 4,334 | internal-0 | 0 | 0.968884 | 0.031116 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Wayne is thirsty. It is publicly announced that John does not know whether Amanda is thirsty. It is publicly announced that Wayne is thirsty. It is publicly announced that Amanda does not know whether John is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] [ ! 1 ] [ ! ~(Agentb knows whether 3) ] Agentc knows that (Agenta 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) ] [ ! ~(Agentc knows whether 2) ] [ ! 1 ] [ ! ~(Agentb knows whether 3) ] 0 | John can now know that Wayne can know that Wayne is thirsty. | internal | 1 | 3 | entailment | [
"Wayne",
"Amanda",
"John"
] | 11,083 | internal-1 | 1 | 0.852426 | 0.147574 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Greg's card is shown to Greg. Shirley's card is shown to Greg. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2) ] (Agenta knows whether (~(1|2))) | 0 | VARS 0,1,2 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2) ] 0 | Greg can now know whether or not nobody picked a red card. | explicit | 0 | 2 | entailment | [
"Greg",
"Shirley"
] | 67,684 | explicit-1 | 1 | 0.999721 | 0.000279 |
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) ] Agentc knows that (Agenta knows that (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] 0 | Robert can now know that Bradley can know that everyone's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Bradley",
"William",
"Robert",
"Laura"
] | 9,948 | forehead-0 | 0 | 0.99841 | 0.00159 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ashley's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 3 ] Agenta knows that (Agentc 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) ] [ ! 3 ] 0 | Alease can now know that Ashley can know that nobody's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Alease",
"Luke",
"Ashley",
"Tina"
] | 67,098 | forehead-0 | 0 | 0.998495 | 0.001505 |
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 David knows whether someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] (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) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Albert can now know that Eric's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Veronica",
"David",
"Albert",
"Eric"
] | 48,543 | forehead_mirror-0 | 0 | 0.998488 | 0.001512 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rick does not know whether Rick's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] (Agentb knows whether 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) ] [ ! ~(Agentb knows whether 2) ] 0 | Rick can now know whether David's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Betty",
"Rick",
"David",
"Veronica"
] | 33,784 | forehead-1 | 1 | 0.999432 | 0.000568 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether Shawnda is thirsty. It is publicly announced that Shawnda does not know whether Robert is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] (Agentc knows that (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] 0 | William can now know that everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Robert",
"Shawnda",
"William"
] | 26,424 | internal-0 | 0 | 0.998615 | 0.001385 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agentb knows that (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) ] [ ! (1|2|3) ] 0 | Jacqueline can now know that Kenneth can know that Jacqueline's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"William",
"Jacqueline",
"Kenneth"
] | 53,900 | forehead-0 | 0 | 0.997437 | 0.002563 |
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 Rena'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) ] [ ! 2 ] Agentc knows that (Agentb knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] 0 | Richard can now know that Rena can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Torri",
"Rena",
"Richard",
"Velma"
] | 52,210 | forehead_mirror-0 | 0 | 0.998432 | 0.001568 |