premise
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| smcdel_problem
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Nancy knows whether someone's forehead is muddy. It is publicly announced that Angel knows whether Nancy's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (Agentb knows whether 3) ] (Agentc knows whether (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (Agentb knows whether 3) ] 0 | Nancy can now know whether or not nobody's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Jillian",
"Angel",
"Nancy"
] | 30,175 | forehead-1 | 1 | 0.999686 | 0.000314 |
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 or not everyone's forehead is muddy. It is publicly announced that Danielle does not know whether Danielle's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 3) ] (Agentb knows that 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 3) ] 0 | Carrie can now know that Carrie's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Richard",
"Carrie",
"Danielle"
] | 4,555 | forehead-0 | 0 | 0.847983 | 0.152017 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christina knows whether someone is thirsty. It is publicly announced that Daniel does not know whether Terry 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 whether 4) ] (Agenta knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 4) ] 0 | Christina can now know whether Terry is thirsty. | internal | 0 | 4 | not_entailment | [
"Christina",
"Daniel",
"Michael",
"Terry"
] | 55,696 | internal-0 | 0 | 0.993097 | 0.006903 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Samantha's card is shown to Dan. John's card is shown to Janet. Samantha's card is shown to Samantha. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentc knows that 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] 0 | Dan can now know that Samantha can know that John picked a red card. | explicit | 1 | 4 | not_entailment | [
"Dan",
"Janet",
"Samantha",
"John"
] | 23,424 | explicit-0 | 0 | 0.998091 | 0.001909 |
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)) ] Agentd knows that (Agentb knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0 | Harold can now know that Leslie can know whether Leslie's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Tanya",
"Leslie",
"Simone",
"Harold"
] | 7,808 | forehead_mirror-1 | 1 | 0.999613 | 0.000387 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Nicole knows whether someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Clinton does not know whether Clinton's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] (Agentb knows that (1|2|3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] 0 | Clifford can now know that someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Clinton",
"Clifford",
"Nicole"
] | 48,631 | forehead-1 | 1 | 0.99976 | 0.00024 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jana'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) ] [ ! ~(3) ] Agentb knows that (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) ] [ ! ~(3) ] 0 | Linda can now know that Christina can know that Jana's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Christina",
"Linda",
"Jana"
] | 25,144 | forehead-0 | 0 | 0.969553 | 0.030447 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agenta knows that (Agentb 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) ] [ ! (~(1&2&3&4)) ] 0 | Jorge can now know that Rosa can know that Katherine's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Jorge",
"Rosa",
"Eldon",
"Katherine"
] | 28,255 | forehead-0 | 0 | 0.99662 | 0.00338 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Simone knows whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1&2&3&4)) ] (Agenta 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) ] [ ! (Agentd knows whether (1&2&3&4)) ] 0 | Rosa can now know that Rosa is thirsty. | internal | 0 | 4 | not_entailment | [
"Rosa",
"Sharon",
"Lori",
"Simone"
] | 9,421 | internal-0 | 0 | 0.952785 | 0.047215 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Lawrence's forehead is not muddy. It is publicly announced that Timothy 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) ] [ ! ~(2) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] (Agentd knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0 | Teresita can now know that Lawrence's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Todd",
"Lawrence",
"Timothy",
"Teresita"
] | 7,612 | forehead-0 | 0 | 0.986113 | 0.013887 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Taylor'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)) ] [ ! 3 ] Agenta knows whether (Agentb knows whether 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! 3 ] 0 | Elsie can now know whether David can know whether David's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Elsie",
"David",
"Taylor"
] | 51,467 | forehead_mirror-1 | 1 | 0.999692 | 0.000308 |
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 Geraldine knows whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] Agentd knows that (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) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0 | Debbi can now know that Noelle can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Noelle",
"Geraldine",
"David",
"Debbi"
] | 21,785 | forehead_mirror-0 | 0 | 0.998466 | 0.001534 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dante does not know whether or not everyone is thirsty. It is publicly announced that Dante does not know whether Barbara is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Eula knows whether Eula is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] [ ! (~(1&2&3)) ] [ ! (Agenta knows whether 1) ] Agentc knows whether (Agentb knows that 2) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] [ ! (~(1&2&3)) ] [ ! (Agenta knows whether 1) ] 0 | Dante can now know whether Barbara can know that Barbara is thirsty. | internal | 1 | 3 | not_entailment | [
"Eula",
"Barbara",
"Dante"
] | 53,381 | internal-0 | 1 | 0.905225 | 1.905225 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Imelda's card is shown to Jacques. Imelda's card is shown to Imelda. Jesus's card is shown to Imelda. Imelda's card is shown to Jesus. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agenta knows that (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:3 VALID? [ ! (1|2|3|4) ] 0 | Jacques can now know that someone picked a red card. | explicit | 0 | 4 | entailment | [
"Jacques",
"Frank",
"Imelda",
"Jesus"
] | 18,465 | explicit-1 | 1 | 0.999771 | 0.000229 |
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 Paulette's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] (Agenta knows that (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] 0 | Barry can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 2 | not_entailment | [
"Barry",
"Paulette"
] | 39,551 | forehead_mirror-0 | 0 | 0.998579 | 0.001421 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Aaron knows whether Aaron is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] (Agenta knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0 | Mai can now know that Aaron is thirsty. | internal | 0 | 3 | not_entailment | [
"Mai",
"Aaron",
"Logan"
] | 59,446 | internal-0 | 0 | 0.997611 | 0.002389 |
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 Juliette. Juliette's card is shown to Marie. Marie's card is shown to William. Joseph's card is shown to William. William's card is shown to Joseph. It is publicly announced that someone picked a red card. It is publicly announced that Marie knows whether Juliette picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:2,4 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 1) ] (Agenta knows that 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:2,4 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 1) ] 0 | Juliette can now know that Marie picked a red card. | explicit | 0 | 4 | not_entailment | [
"Juliette",
"Marie",
"William",
"Joseph"
] | 7,452 | explicit-0 | 0 | 0.996931 | 0.003069 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Dian knows whether Dian's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] (Agentc knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] 0 | Dian can now know that Dian's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Michael",
"John",
"Dian",
"Julia"
] | 5,235 | forehead-1 | 0 | 0.997101 | 1.997101 |
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 Irene knows whether Irene's forehead is muddy. It is publicly announced that Irene's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(1) ] Agenta knows that (Agentc knows that (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(1) ] 0 | Irene can now know that Thomas can know that everyone's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Irene",
"Brenda",
"Thomas",
"Tanya"
] | 50,932 | forehead_mirror-0 | 0 | 0.998393 | 0.001607 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Connie's card is shown to Connie. Barbara's card is shown to Connie. Connie's card is shown to Barbara. Barbara's card is shown to Barbara. It is publicly announced that someone picked a red card. It is publicly announced that Connie knows whether or not nobody picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] Agenta knows that (Agentb knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | Irvin can now know that Connie can know that nobody picked a red card. | explicit | 1 | 3 | not_entailment | [
"Irvin",
"Connie",
"Barbara"
] | 52,109 | explicit-0 | 0 | 0.998611 | 0.001389 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kim's card is shown to Kim. Renee's card is shown to Kim. Kim's card is shown to Renee. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] Agentb knows that (Agenta knows whether 2) | 0 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] 0 | Renee can now know that Kim can know whether Renee picked a red card. | explicit | 1 | 2 | entailment | [
"Kim",
"Renee"
] | 16,212 | explicit-1 | 0 | 0.836602 | 1.836602 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether Hue is thirsty. It is publicly announced that Hue knows whether someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentb knows that 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0 | Charles can now know that Hue is thirsty. | internal | 0 | 4 | not_entailment | [
"Beatrice",
"Charles",
"Hue",
"William"
] | 3,688 | internal-0 | 0 | 0.997332 | 0.002668 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Andrea does not know whether or not everyone 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&2&3&4)) ] [ ! (1|2|3|4) ] (Agentc knows whether 2) | 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)) ] [ ! (1|2|3|4) ] 0 | Andrea can now know whether Charlene is thirsty. | internal | 0 | 4 | not_entailment | [
"Reginald",
"Charlene",
"Andrea",
"Shona"
] | 62,493 | internal-0 | 0 | 0.672141 | 0.327859 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Melvin does not know whether Galen is thirsty. It is publicly announced that Alan does not know whether Melvin is thirsty. It is publicly announced that Alan knows whether or not nobody is thirsty. It is publicly announced that Galen does not know whether Donald 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 4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! ~(Agenta knows whether 3) ] (Agentb knows whether 1) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! ~(Agenta knows whether 3) ] 0 | Alan can now know whether Galen is thirsty. | internal | 0 | 4 | not_entailment | [
"Galen",
"Alan",
"Donald",
"Melvin"
] | 29,864 | internal-0 | 0 | 0.985363 | 0.014637 |
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) ] Agentb knows that (Agenta knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0 | Todd can now know that Charles can know whether Christopher's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Charles",
"Todd",
"Christopher",
"Bernie"
] | 35,370 | forehead_mirror-1 | 1 | 0.999725 | 0.000275 |
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 Leslie's forehead is not muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] Agentb knows that (Agentc knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0 | Marion can now know that Leslie can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Simone",
"Marion",
"Leslie"
] | 16,336 | forehead_mirror-0 | 0 | 0.998441 | 0.001559 |
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 Micheline knows whether or not everyone'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) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (1&2&3) ] (Agenta 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) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (1&2&3) ] 0 | Imelda can now know that someone's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Imelda",
"Micheline",
"Wendell"
] | 20,528 | forehead_mirror-1 | 1 | 0.999776 | 0.000224 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brooke's card is shown to Brooke. Robert's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Brooke picked a black card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(1) ] Agentb knows that (Agenta knows whether 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(1) ] 0 | Robert can now know that Brooke can know whether Brooke picked a red card. | explicit | 1 | 2 | entailment | [
"Brooke",
"Robert"
] | 59,646 | explicit-1 | 1 | 0.992715 | 0.007285 |
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 Heidi knows whether or not nobody's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] Agenta knows that (Agentb knows that (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Chris can now know that Heidi can know that everyone's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Chris",
"Heidi"
] | 1,115 | forehead_mirror-0 | 0 | 0.99837 | 0.00163 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sammie's card is shown to David. Tracy's card is shown to Sammie. John's card is shown to Sammie. Sammie's card is shown to Tracy. John's card is shown to John. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3,4 Agentc:2 Agentd:4 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows whether 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3,4 Agentc:2 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Tracy can now know whether David can know whether Sammie picked a red card. | explicit | 1 | 4 | entailment | [
"David",
"Sammie",
"Tracy",
"John"
] | 60,874 | explicit-1 | 1 | 0.998914 | 0.001086 |
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 Colleen knows whether or not everyone's forehead is muddy. It is publicly announced that Colleen knows whether someone's forehead is muddy. It is publicly announced that Colleen knows whether Colleen'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) ] (Agentb knows whether 1) | 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 | Stacy can now know whether Colleen's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Colleen",
"Stacy"
] | 22,960 | forehead_mirror-1 | 1 | 0.999731 | 0.000269 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ronald's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(1) ] Agenta knows that (Agentb knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(1) ] 0 | Ronald can now know that Barbara can know whether Barbara's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Ronald",
"Barbara"
] | 21,517 | forehead-1 | 0 | 0.965438 | 1.965438 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that James'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) ] [ ! 4 ] (Agentb 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) ] [ ! 4 ] 0 | Jamie can now know that Edna's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Edna",
"Jamie",
"Pierre",
"James"
] | 6,468 | forehead-0 | 0 | 0.945895 | 0.054105 |
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 Elizabeth knows whether Candy's forehead is muddy. It is publicly announced that Elizabeth knows whether Candy's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] Agentb knows that (Agenta knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] 0 | Candy can now know that Elizabeth can know that Elizabeth's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Elizabeth",
"Candy"
] | 14,606 | forehead_mirror-0 | 0 | 0.996634 | 0.003366 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Johnetta's card is shown to Tammy. Lisa's card is shown to Tammy. Johnetta's card is shown to Johnetta. Lisa's card is shown to Johnetta. Lisa's card is shown to Lisa. Anna's card is shown to Lisa. Anna's card is shown to Anna. 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 everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:3,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (1&2&3&4) ] (Agentb knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:3,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (1&2&3&4) ] 0 | Johnetta can now know whether Anna picked a red card. | explicit | 0 | 4 | entailment | [
"Tammy",
"Johnetta",
"Lisa",
"Anna"
] | 29,035 | explicit-1 | 1 | 0.978386 | 0.021614 |
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 Cora knows whether or not nobody's forehead is muddy. It is publicly announced that Katherine knows whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agenta knows whether (1&2)) ] Agentb knows that (Agenta knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agenta knows whether (1&2)) ] 0 | Cora can now know that Katherine can know that everyone's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Katherine",
"Cora"
] | 63,796 | forehead_mirror-0 | 0 | 0.997386 | 0.002614 |
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 John. Christopher's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] Agentb knows whether (Agenta knows whether (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0 | Christopher can now know whether John can know whether or not everyone picked a red card. | explicit | 1 | 2 | not_entailment | [
"John",
"Christopher"
] | 61,709 | explicit-0 | 0 | 0.8779 | 0.1221 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Anna knows whether Helen'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 3) ] (Agentc knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 3) ] 0 | Helen can now know that Helen's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Bobby",
"Anna",
"Helen"
] | 36,239 | forehead_mirror-0 | 0 | 0.997135 | 0.002865 |
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. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1&2) ] Agentb knows that (Agenta knows that 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1&2) ] 0 | Edna can now know that Michael can know that Edna's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Michael",
"Edna"
] | 46,136 | forehead-1 | 1 | 0.997022 | 0.002978 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Herbert does not know whether Arthur is thirsty. It is publicly announced that Christine does not know whether Theodore is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] Agenta knows that (Agentc 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) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] 0 | Christine can now know that Herbert can know that nobody is thirsty. | internal | 1 | 4 | not_entailment | [
"Christine",
"Arthur",
"Herbert",
"Theodore"
] | 66,793 | internal-0 | 0 | 0.998441 | 0.001559 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Yetta does not know whether Yetta's forehead is muddy. It is publicly announced that Isidro'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) ] [ ! 4 ] Agentc knows that (Agentb knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] [ ! 4 ] 0 | Anthony can now know that Yetta can know that Yetta's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Jeffrey",
"Yetta",
"Anthony",
"Isidro"
] | 29,685 | forehead-0 | 0 | 0.896585 | 0.103415 |
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 Kimberly's forehead is muddy. It is publicly announced that Vickie knows whether Kimberly'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 ] [ ! (Agentd knows whether 3) ] Agentd knows that (Agenta 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) ] [ ! 3 ] [ ! (Agentd knows whether 3) ] 0 | Vickie can now know that Geraldine can know whether someone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Geraldine",
"Vanessa",
"Kimberly",
"Vickie"
] | 5,861 | forehead_mirror-1 | 1 | 0.999785 | 0.000215 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Francisco knows whether or not nobody is thirsty. It is publicly announced that Rose does not know whether Damon 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 whether 3) ] Agentb knows that (Agentc knows whether 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] [ ! ~(Agentb knows whether 3) ] 0 | Rose can now know that Damon can know whether Rose is thirsty. | internal | 1 | 4 | not_entailment | [
"Leonard",
"Rose",
"Damon",
"Francisco"
] | 246 | internal-0 | 0 | 0.991496 | 0.008504 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph does not know whether Terra is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] (Agenta knows whether (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 | Erik can now know whether or not everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"Erik",
"Terra",
"Joseph",
"Theresa"
] | 49,363 | internal-0 | 0 | 0.995184 | 0.004816 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Keith 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)) ] Agenta knows whether (Agentc knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Otha can now know whether Mary can know whether someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Otha",
"Keith",
"Mary"
] | 22,222 | forehead-1 | 1 | 0.999776 | 0.000224 |
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 Lonnie knows whether Michael's forehead is muddy. It is publicly announced that Michael knows whether Michael's forehead is muddy. It is publicly announced that Lonnie knows whether Lonnie's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agentb knows whether 2) ] [ ! (Agenta knows whether 1) ] (Agenta knows whether (1&2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agentb knows whether 2) ] [ ! (Agenta knows whether 1) ] 0 | Lonnie can now know whether or not everyone's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Lonnie",
"Michael"
] | 54,214 | forehead_mirror-1 | 1 | 0.999623 | 0.000377 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jean knows whether Mary's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 1) ] Agentb knows that (Agentc 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) ] [ ! (Agentc knows whether 1) ] 0 | Brian can now know that Jean can know that Mary's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Mary",
"Brian",
"Jean",
"George"
] | 13,856 | forehead-0 | 0 | 0.997586 | 0.002414 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Valorie does not know whether Lorraine is thirsty. It is publicly announced that Lorraine does not know whether Fernando is thirsty. It is publicly announced that Lester knows whether Lester is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 4) ] [ ! (Agentc knows whether 3) ] (Agentc knows whether 4) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 4) ] [ ! (Agentc knows whether 3) ] 0 | Lester can now know whether Fernando is thirsty. | internal | 0 | 4 | not_entailment | [
"Lorraine",
"Valorie",
"Lester",
"Fernando"
] | 21,162 | internal-0 | 0 | 0.988565 | 0.011435 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gary's card is shown to Gary. Gary's card is shown to Valerie. Melvin's card is shown to Helen. Gary's card is shown to Melvin. Helen's card is shown to Melvin. It is publicly announced that someone picked a red card. It is publicly announced that Helen does not know whether or not everyone picked a red card. It is publicly announced that Gary picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(1) ] (Agentc knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(1) ] 0 | Helen can now know that Valerie picked a red card. | explicit | 0 | 4 | not_entailment | [
"Gary",
"Valerie",
"Helen",
"Melvin"
] | 46,288 | explicit-0 | 0 | 0.787234 | 0.212766 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Shalon's forehead is not muddy. It is publicly announced that Kenneth does not know whether Kenneth's forehead is muddy. It is publicly announced that Kenneth 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) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] Agentb knows that (Agenta knows whether (1&2&3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | Kenneth can now know that Shalon can know whether or not everyone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Shalon",
"Kenneth",
"Lori"
] | 55,873 | forehead-1 | 1 | 0.903243 | 0.096757 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Anthony's forehead is muddy. It is publicly announced that Robert 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) ] [ ! 4 ] [ ! (Agenta knows whether (~(1|2|3|4))) ] (Agentd knows that 1) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0 | Anthony can now know that Robert's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Robert",
"Gayle",
"Ronald",
"Anthony"
] | 914 | forehead-0 | 0 | 0.98148 | 0.01852 |
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 Ethel's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(1) ] Agentb knows that (Agenta knows that (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(1) ] 0 | Diane can now know that Ethel can know that everyone's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Ethel",
"Diane"
] | 40,515 | forehead_mirror-0 | 0 | 0.998355 | 0.001645 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that James's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] Agenta knows that (Agentc 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) ] [ ! 1 ] 0 | James can now know that George can know whether someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"James",
"David",
"George",
"Wanda"
] | 4,095 | forehead-1 | 1 | 0.999783 | 0.000217 |
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 someone's forehead is muddy. It is publicly announced that Eva knows whether Eva'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 1) ] (Agentb 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) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! (Agenta knows whether 1) ] 0 | Travis can now know that Danny's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Eva",
"Travis",
"Robert",
"Danny"
] | 36,562 | forehead_mirror-0 | 0 | 0.998268 | 0.001732 |
There are two 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 Ruth knows whether Donald's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether 2) ] Agenta knows that (Agentb knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0 | Ruth can now know that Donald can know whether Donald's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Ruth",
"Donald"
] | 3,786 | forehead-0 | 0 | 0.95899 | 0.04101 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Wilma does not know whether Wilma'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 (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 | Gertie can now know that everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Wilma",
"Francisco",
"Ronald",
"Gertie"
] | 19,264 | forehead-0 | 0 | 0.998618 | 0.001382 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Frances does not know whether Carmel is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agentc knows that (Agentd knows whether (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0 | Carmel can now know that Lori can know whether or not nobody is thirsty. | internal | 1 | 4 | entailment | [
"Frances",
"John",
"Carmel",
"Lori"
] | 12,626 | internal-1 | 1 | 0.999713 | 0.000287 |
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 Sandra knows whether Sandra's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] Agentb knows that (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) ] [ ! (Agentb knows whether 2) ] 0 | Sandra can now know that Colleen can know that everyone's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Joseph",
"Sandra",
"Minnie",
"Colleen"
] | 44,839 | forehead_mirror-0 | 0 | 0.99847 | 0.00153 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Alana 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 (Agenta 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) ] [ ! (Agentd knows whether (1|2|3|4)) ] 0 | Rosemary can now know whether Samuel can know whether Samuel's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Samuel",
"Gloria",
"Rosemary",
"Alana"
] | 61,818 | forehead-0 | 0 | 0.98984 | 0.01016 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Bruce's card is shown to Bruce. Bruce's card is shown to Paul. Paul's card is shown to Paul. 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:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] (Agenta knows that (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0 | Bruce can now know that nobody picked a red card. | explicit | 0 | 2 | not_entailment | [
"Bruce",
"Paul"
] | 13,278 | explicit-0 | 0 | 0.998493 | 0.001507 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dan knows whether or not nobody is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] Agentb knows whether (Agentc knows that 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | Dan can now know whether Kenneth can know that Marvin is thirsty. | internal | 1 | 3 | entailment | [
"Marvin",
"Dan",
"Kenneth"
] | 44,165 | internal-1 | 1 | 0.989883 | 0.010117 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dale's card is shown to Dale. Pablo's card is shown to Douglas. Dale's card is shown to Pablo. Pablo's card is shown to Pablo. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] Agentb knows whether (Agentc knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Douglas can now know whether Pablo can know whether Dale picked a red card. | explicit | 1 | 3 | entailment | [
"Dale",
"Douglas",
"Pablo"
] | 49,685 | explicit-1 | 1 | 0.998228 | 0.001772 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Frances's card is shown to Veronica. Frances's card is shown to Norman. Norman's card is shown to Len. Veronica's card is shown to Frances. 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:1 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] 0 | Veronica can now know whether Len picked a red card. | explicit | 0 | 4 | not_entailment | [
"Veronica",
"Norman",
"Len",
"Frances"
] | 18,456 | explicit-0 | 0 | 0.941441 | 0.058559 |
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 Ginger 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) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] Agentd knows that (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) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0 | Diane can now know that Ginger can know whether Diane's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Ginger",
"Deborah",
"Latoya",
"Diane"
] | 40,134 | forehead_mirror-1 | 1 | 0.999743 | 0.000257 |
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. It is publicly announced that Arthur knows whether Patricia's forehead is muddy. It is publicly announced that Ivette'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) ] [ ! (Agenta knows whether 3) ] [ ! 2 ] (Agenta knows that 1) | 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) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 3) ] [ ! 2 ] 0 | Arthur can now know that Arthur's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Arthur",
"Ivette",
"Patricia",
"Samantha"
] | 3,176 | forehead-1 | 1 | 0.988313 | 0.011687 |
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) ] Agenta knows whether (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 | Eric can now know whether Anthony can know that someone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Eric",
"Anthony",
"Dwight"
] | 39,956 | forehead_mirror-1 | 1 | 0.999759 | 0.000241 |
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 Daniel'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 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) ] [ ! (Agentc knows whether 4) ] 0 | Gerald can now know that James's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Sherry",
"Gerald",
"James",
"Daniel"
] | 55,485 | forehead_mirror-0 | 0 | 0.998313 | 0.001687 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anthony's card is shown to Anthony. John's card is shown to Anthony. Gregory's card is shown to Anthony. John's card is shown to Jose. Gregory's card is shown to Jose. John's card is shown to John. Gregory's card is shown to John. Anthony's card is shown to Gregory. It is publicly announced that someone picked a red card. It is publicly announced that Jose knows whether or not everyone picked a red card. It is publicly announced that Gregory picked a black card. It is publicly announced that Anthony picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:3,4 Agentc:3,4 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! ~(4) ] [ ! 1 ] Agenta knows that (Agentc knows whether (1&2&3&4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:3,4 Agentc:3,4 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! ~(4) ] [ ! 1 ] 0 | Anthony can now know that John can know whether or not everyone picked a red card. | explicit | 1 | 4 | entailment | [
"Anthony",
"Jose",
"John",
"Gregory"
] | 15,928 | explicit-1 | 1 | 0.803183 | 0.196817 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Levi is not thirsty. It is publicly announced that Regina does not know whether Katherine is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agenta knows whether 2) ] Agentb knows that (Agenta knows that (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agenta knows whether 2) ] 0 | Katherine can now know that Regina can know that everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Regina",
"Katherine",
"Levi",
"Margaret"
] | 34,432 | internal-0 | 0 | 0.998321 | 0.001679 |
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 Chad knows whether someone's forehead is muddy. It is publicly announced that Jeannette knows whether Greta's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (Agentc knows whether 2) ] (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|2|3|4)) ] [ ! (Agentc knows whether 2) ] 0 | Jeannette can now know whether someone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Thomas",
"Greta",
"Jeannette",
"Chad"
] | 31,466 | forehead_mirror-1 | 1 | 0.999755 | 0.000245 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Thomas's card is shown to Thomas. Thomas's card is shown to Joseph. It is publicly announced that someone picked a red card. It is publicly announced that Thomas knows whether someone picked a red card. It is publicly announced that Joseph does not know whether or not everyone picked a red card. It is publicly announced that Thomas does not know whether or not everyone picked a red card. It is publicly announced that not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (~(1&2)) ] (Agentb knows that 1) | 4 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (~(1&2)) ] 0 | Joseph can now know that Thomas picked a red card. | explicit | 0 | 2 | entailment | [
"Thomas",
"Joseph"
] | 42,430 | explicit-1 | 1 | 0.779854 | 0.220146 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dolores knows whether someone is thirsty. It is publicly announced that Gregg knows whether Dolores is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! (Agentb knows whether 1) ] (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) ] 0 | Dolores can now know that Gregg is thirsty. | internal | 0 | 2 | not_entailment | [
"Dolores",
"Gregg"
] | 8,246 | internal-0 | 0 | 0.99731 | 0.00269 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Colleen does not know whether Lila is thirsty. It is publicly announced that Colleen does not know whether Lila is thirsty. It is publicly announced that Colleen knows whether or not nobody is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agentb knows whether 2) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0 | Lila can now know whether Lila is thirsty. | internal | 0 | 3 | entailment | [
"Nancy",
"Lila",
"Colleen"
] | 51,107 | internal-1 | 1 | 0.998811 | 0.001189 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows 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 | Phillip can now know whether Catherine can know that everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Catherine",
"Linda",
"Phillip",
"Francis"
] | 27,244 | forehead_mirror-1 | 1 | 0.999576 | 0.000424 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Frances's card is shown to Royal. Royal's card is shown to Frances. It is publicly announced that someone picked a red card. It is publicly announced that Royal does not know whether or not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] Agentb knows whether (Agenta knows that (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0 | Frances can now know whether Royal can know that everyone picked a red card. | explicit | 1 | 2 | entailment | [
"Royal",
"Frances"
] | 18,389 | explicit-1 | 1 | 0.994099 | 0.005901 |
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 Orlando. Orlando's card is shown to Glen. Glen's card is shown to Glen. Jesus's card is shown to Glen. Thomas's card is shown to Glen. Glen's card is shown to Jesus. Orlando's card is shown to Thomas. It is publicly announced that someone picked a red card. It is publicly announced that Jesus does not know whether Orlando picked a red card. It is publicly announced that Orlando knows whether someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2,3,4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agenta knows whether (1|2|3|4)) ] Agenta knows whether (Agentb knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2,3,4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0 | Orlando can now know whether Glen can know that Glen picked a red card. | explicit | 1 | 4 | not_entailment | [
"Orlando",
"Glen",
"Jesus",
"Thomas"
] | 51,006 | explicit-0 | 1 | 0.891811 | 1.891811 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kylie does not know whether or not everyone'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) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (1|2|3) ] Agentc knows that (Agenta knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (1|2|3) ] 0 | Kylie can now know that Matthew can know that Matthew's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Matthew",
"Thomas",
"Kylie"
] | 44,651 | forehead-1 | 0 | 0.522843 | 1.522843 |
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 Dallas 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 2) ] Agentd knows whether (Agentb knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 2) ] 0 | Joesph can now know whether Michael can know that everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Arthur",
"Michael",
"Dallas",
"Joesph"
] | 20,344 | forehead_mirror-1 | 1 | 0.999605 | 0.000395 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mark knows whether someone is thirsty. It is publicly announced that Tricia is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! 3 ] Agenta knows that (Agentc knows whether 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! 3 ] 0 | Shana can now know that Tricia can know whether Shana is thirsty. | internal | 1 | 3 | not_entailment | [
"Shana",
"Mark",
"Tricia"
] | 3,817 | internal-0 | 0 | 0.9771 | 0.0229 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary does not know whether Colleen is thirsty. It is publicly announced that Mark does not know whether Mary 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) ] [ ! ~(Agenta knows whether 4) ] Agentd knows that (Agentb knows whether (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 4) ] 0 | Mary can now know that Susan can know whether or not everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Mark",
"Susan",
"Colleen",
"Mary"
] | 30,646 | internal-0 | 0 | 0.966114 | 0.033886 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Harry knows whether or not nobody's forehead is muddy. It is publicly announced that Melanie's forehead is not muddy. It is publicly announced that Wm does not know whether Wm's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(2) ] [ ! ~(Agenta knows whether 1) ] Agentc knows whether (Agenta knows that 1) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(2) ] [ ! ~(Agenta knows whether 1) ] 0 | Harry can now know whether Wm can know that Wm's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Wm",
"Melanie",
"Harry"
] | 62,550 | forehead-1 | 1 | 0.852362 | 0.147638 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gertrude does not know whether Joaquina is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows whether (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0 | Gertrude can now know whether or not everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Gertrude",
"Joaquina",
"Donald"
] | 35,382 | internal-0 | 0 | 0.995739 | 0.004261 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paula knows whether or not nobody is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! (1|2|3) ] (Agentb knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! (1|2|3) ] 0 | Tim can now know that James is thirsty. | internal | 0 | 3 | not_entailment | [
"Paula",
"Tim",
"James"
] | 22,649 | internal-0 | 0 | 0.998331 | 0.001669 |
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 Martin'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 ] 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 ] 0 | Martin can now know that Jill can know that everyone's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Martin",
"Jill",
"Wayne"
] | 66,125 | forehead_mirror-0 | 0 | 0.997661 | 0.002339 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Michael does not know whether Michael's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] Agentb knows whether (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) ] [ ! ~(Agenta knows whether 1) ] 0 | Thomas can now know whether Shelly can know that Thomas's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Michael",
"Thomas",
"Shelly"
] | 59,602 | forehead-0 | 0 | 0.939838 | 0.060162 |
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 Sophia knows whether Jill'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) ] Agentd knows that (Agenta 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) ] [ ! (Agenta knows whether 2) ] 0 | Terrence can now know that Sophia can know that Jill's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Sophia",
"Jill",
"Tristan",
"Terrence"
] | 41,474 | forehead_mirror-0 | 0 | 0.998006 | 0.001994 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mary's card is shown to Michael. Michael's card is shown to Edith. Barbara's card is shown to Mary. Michael's card is shown to Barbara. Edith's card is shown to Barbara. Barbara's card is shown to Barbara. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:4 Agentd:1,2,4 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:4 Agentd:1,2,4 VALID? [ ! (1|2|3|4) ] 0 | Michael can now know whether Edith picked a red card. | explicit | 0 | 4 | not_entailment | [
"Michael",
"Edith",
"Mary",
"Barbara"
] | 50,511 | explicit-0 | 0 | 0.762913 | 0.237087 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Erica does not know whether Vincent is thirsty. It is publicly announced that Selene does not know whether Erica is thirsty. It is publicly announced that Selene does not know whether Vincent is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] Agenta knows whether (Agentb 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 3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] 0 | Erica can now know whether Selene can know whether Erica is thirsty. | internal | 1 | 3 | entailment | [
"Erica",
"Selene",
"Vincent"
] | 12,465 | internal-1 | 1 | 0.998045 | 0.001955 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elizabeth does not know whether or not everyone is thirsty. It is publicly announced that Lisa does not know whether or not everyone is thirsty. It is publicly announced that John knows whether John is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentb knows whether 2) ] (Agentb knows whether 1) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentb knows whether 2) ] 0 | John can now know whether Salvador is thirsty. | internal | 0 | 4 | not_entailment | [
"Salvador",
"John",
"Lisa",
"Elizabeth"
] | 803 | internal-0 | 0 | 0.635701 | 0.364299 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David knows whether 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 (Agenta knows that 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 | Georgia can now know that David can know that Georgia is thirsty. | internal | 1 | 3 | not_entailment | [
"David",
"Georgia",
"Linda"
] | 7,222 | internal-0 | 0 | 0.925486 | 0.074514 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Robert knows whether Charles's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] Agentc knows whether (Agenta 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) ] [ ! (Agenta knows whether 2) ] 0 | Janice can now know whether Robert can know whether someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Robert",
"Charles",
"Janice"
] | 35,902 | forehead-1 | 1 | 0.999755 | 0.000245 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows whether 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] 0 | Clare can now know that George can know whether Flossie's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Clare",
"George",
"Edwin",
"Flossie"
] | 21,637 | forehead_mirror-1 | 1 | 0.999741 | 0.000259 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Tina is not thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(2) ] Agentb knows that (Agentd knows that 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(2) ] 0 | Tina can now know that Gerald can know that John is thirsty. | internal | 1 | 4 | not_entailment | [
"Martha",
"Tina",
"John",
"Gerald"
] | 8,741 | internal-0 | 0 | 0.994167 | 0.005833 |
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 Sherry'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 ] (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) ] [ ! 3 ] 0 | Chester can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Melissa",
"Paul",
"Sherry",
"Chester"
] | 22,964 | forehead_mirror-0 | 0 | 0.998388 | 0.001612 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Patricia knows whether or not nobody's forehead is muddy. It is publicly announced that David knows whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agenta knows whether (1&2)) ] Agenta knows whether (Agentb knows that 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agenta knows whether (1&2)) ] 0 | David can now know whether Patricia can know that Patricia's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"David",
"Patricia"
] | 7,870 | forehead_mirror-1 | 1 | 0.999631 | 0.000369 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Debra's card is shown to Christopher. Debra's card is shown to Debra. Richard's card is shown to Richard. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] (Agentb knows that 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Debra can now know that Christopher picked a red card. | explicit | 0 | 3 | not_entailment | [
"Christopher",
"Debra",
"Richard"
] | 67,079 | explicit-0 | 0 | 0.998307 | 0.001693 |
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 Van'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 ] Agentd knows that (Agenta 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) ] [ ! 3 ] 0 | Donald can now know that Tyler can know that Robert's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Tyler",
"Robert",
"Van",
"Donald"
] | 17,862 | forehead_mirror-0 | 0 | 0.975267 | 0.024733 |
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. It is publicly announced that Larry knows whether Dale's forehead is muddy. It is publicly announced that Larry knows whether someone's forehead is muddy. It is publicly announced that Larry'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) ] [ ! (Agentb knows whether 4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! 2 ] Agentd knows that (Agentb knows whether 3) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agentb knows whether 4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! 2 ] 0 | Dale can now know that Larry can know whether Charlotte's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Tad",
"Larry",
"Charlotte",
"Dale"
] | 48,874 | forehead-1 | 1 | 0.999447 | 0.000553 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Matthew's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! (~(1&2&3)) ] Agenta knows that (Agentb knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! (~(1&2&3)) ] 0 | Jessica can now know that Matthew can know that Jessica's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Jessica",
"Matthew",
"Dean"
] | 30,992 | forehead-0 | 0 | 0.960088 | 0.039912 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Priscilla knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] (Agentc knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] 0 | Priscilla can now know that Steven's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Steven",
"Dana",
"Priscilla"
] | 6,381 | forehead_mirror-0 | 0 | 0.890747 | 0.109253 |