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int64 0
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Timothy does not know whether or not everyone's forehead is muddy. It is publicly announced that Timothy does not know whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] (Agentb knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Timothy can now know that everyone's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Samuel",
"Timothy"
] | 51,897 | forehead-0 | 0 | 0.998522 | 0.001478 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gregory 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 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) ] [ ! 4 ] 0 | Kevin can now know that Kevin is thirsty. | internal | 0 | 4 | not_entailment | [
"Kevin",
"Sophie",
"Ann",
"Gregory"
] | 11,443 | internal-0 | 0 | 0.535752 | 0.464248 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Erica does not know whether Stacy 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) ] Agenta knows whether (Agentb 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) ] [ ! ~(Agenta knows whether 3) ] 0 | Erica can now know whether Nicki can know that Brian is thirsty. | internal | 1 | 4 | entailment | [
"Erica",
"Nicki",
"Stacy",
"Brian"
] | 26,391 | internal-1 | 1 | 0.996253 | 0.003747 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mollie does not know whether Mollie'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) ] [ ! ~(Agentb knows whether 2) ] [ ! (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) ] [ ! ~(Agentb knows whether 2) ] [ ! (1|2|3) ] 0 | Mollie can now know that someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Elizabeth",
"Mollie",
"Caleb"
] | 20,562 | forehead-1 | 1 | 0.999405 | 0.000595 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] (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 | Henry can now know that someone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Wm",
"John",
"Henry",
"Valda"
] | 36,386 | forehead-1 | 1 | 0.999324 | 0.000676 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Laura's card is shown to Jason. Nancy's card is shown to Jason. Laura's card is shown to Laura. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3) ] 0 | Laura can now know whether Jason can know whether Laura picked a red card. | explicit | 1 | 3 | entailment | [
"Jason",
"Laura",
"Nancy"
] | 45,888 | explicit-1 | 1 | 0.99883 | 0.00117 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jennifer knows whether Jennifer is thirsty. It is publicly announced that Wade 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 3) ] [ ! (Agenta knows whether (~(1|2|3))) ] (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) ] [ ! (Agentc knows whether 3) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Jennifer can now know that someone is thirsty. | internal | 0 | 3 | entailment | [
"Wade",
"Donny",
"Jennifer"
] | 55,231 | internal-1 | 1 | 0.999483 | 0.000517 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Christopher. Christopher's card is shown to Cheryl. Cheryl's card is shown to James. It is publicly announced that someone picked a red card. It is publicly announced that James does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:2 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:3 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | James can now know that everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Christopher",
"Cheryl",
"James"
] | 35,390 | explicit-0 | 0 | 0.998403 | 0.001597 |
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 Mitchell 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) ] [ ! (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) ] [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | Mitchell can now know that everyone's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Sherry",
"Mitchell",
"Lonnie"
] | 33,169 | forehead-0 | 0 | 0.998386 | 0.001614 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lisa's card is shown to Grace. Thomas's card is shown to Grace. Grace's card is shown to Lisa. Thomas's card is shown to Thomas. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] Agentb knows that (Agentc knows whether 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Lisa can now know that Thomas can know whether Thomas picked a red card. | explicit | 1 | 3 | entailment | [
"Grace",
"Lisa",
"Thomas"
] | 48,012 | explicit-1 | 1 | 0.757462 | 0.242538 |
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 Janet knows whether Janet's forehead is muddy. It is publicly announced that Stephen knows whether Timothy'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) ] [ ! (Agentd knows whether 1) ] (Agentb 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) ] [ ! (Agentb knows whether 2) ] [ ! (Agentd knows whether 1) ] 0 | Janet can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Timothy",
"Janet",
"John",
"Stephen"
] | 30,553 | forehead_mirror-0 | 0 | 0.99872 | 0.00128 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that George knows whether George'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 4) ] Agentd knows that (Agentb 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) ] [ ! (Agentd knows whether 4) ] 0 | George can now know that Brittany can know whether Simone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Simone",
"Brittany",
"Luanne",
"George"
] | 32,140 | forehead_mirror-1 | 1 | 0.999333 | 0.000667 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Charles knows whether someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agentb knows that 1) | 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 | Charles can now know that Kevin's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Kevin",
"Charles",
"Cory",
"Raymond"
] | 20,180 | forehead_mirror-0 | 0 | 0.998438 | 0.001562 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nancy does not know whether Stanley is thirsty. It is publicly announced that Robbie is not 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) ] [ ! ~(2) ] Agentb knows whether (Agentd knows that 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 3) ] [ ! ~(2) ] 0 | Robbie can now know whether John can know that John is thirsty. | internal | 1 | 4 | not_entailment | [
"Nancy",
"Robbie",
"Stanley",
"John"
] | 54,680 | internal-0 | 0 | 0.92439 | 0.07561 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Daniel knows whether Scott's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 3) ] Agentd knows that (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) ] [ ! (Agenta knows whether 3) ] 0 | Todd can now know that Jill can know that Daniel's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Daniel",
"Jill",
"Scott",
"Todd"
] | 1,578 | forehead-0 | 0 | 0.997911 | 0.002089 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ann 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 (Agenta knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | George can now know whether Sarah can know whether Ann's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Sarah",
"Ann",
"George"
] | 11,595 | forehead-1 | 1 | 0.998982 | 0.001018 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lynn's card is shown to Lynn. Ruby's card is shown to Ruby. Lynn's card is shown to Robert. Ruby's card is shown to Robert. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] Agentc knows whether (Agenta knows whether (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Robert can now know whether Lynn can know whether or not everyone picked a red card. | explicit | 1 | 3 | entailment | [
"Lynn",
"Ruby",
"Robert"
] | 24,319 | explicit-1 | 0 | 0.744328 | 1.744328 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jesse 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)) ] (Agentc knows whether 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 | Shirley can now know whether Jesse is thirsty. | internal | 0 | 4 | entailment | [
"Kathryn",
"Philip",
"Shirley",
"Jesse"
] | 51,356 | internal-1 | 1 | 0.956843 | 0.043157 |
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 Julie knows whether Kathleen'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 that (Agentb knows that (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0 | Julie can now know that Kathleen can know that someone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Julie",
"Kathleen"
] | 45,940 | forehead_mirror-1 | 1 | 0.999359 | 0.000641 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Louis's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(2) ] (Agentb knows whether (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(2) ] 0 | Louis can now know whether or not nobody's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Barbara",
"Louis"
] | 31,928 | forehead-1 | 1 | 0.999459 | 0.000541 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Matthew knows whether someone is thirsty. It is publicly announced that James does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! (1&2) ] Agenta knows that (Agentb knows whether (~(1|2))) | 4 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! (1&2) ] 0 | Matthew can now know that James can know whether or not nobody is thirsty. | internal | 1 | 2 | entailment | [
"Matthew",
"James"
] | 37,288 | internal-1 | 1 | 0.999459 | 0.000541 |
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 Shelby knows whether or not nobody's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agenta knows that 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0 | Sharon can now know that Sharon's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Sharon",
"Erica",
"Shelby"
] | 44,285 | forehead_mirror-0 | 0 | 0.998215 | 0.001785 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kelly knows whether someone is thirsty. It is publicly announced that Jay does not know whether Gerald 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 whether 3) ] (Agentb knows whether 2) | 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)) ] [ ! ~(Agentb knows whether 3) ] 0 | Jay can now know whether Jay is thirsty. | internal | 0 | 3 | entailment | [
"Kelly",
"Jay",
"Gerald"
] | 4,384 | internal-1 | 1 | 0.99567 | 0.00433 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sara's card is shown to Sara. Joanne's card is shown to Tim. Latanya's card is shown to Tim. Tim's card is shown to Joanne. Tim's card is shown to Latanya. Joanne's card is shown to Latanya. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:2 Agentd:2,3 VALID? [ ! (1|2|3|4) ] (Agentd knows that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:2 Agentd:2,3 VALID? [ ! (1|2|3|4) ] 0 | Latanya can now know that Joanne picked a red card. | explicit | 0 | 4 | not_entailment | [
"Sara",
"Tim",
"Joanne",
"Latanya"
] | 45,760 | explicit-0 | 0 | 0.995314 | 0.004686 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Margaret does not know whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentd knows that (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) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | Margaret can now know that William can know whether Claudio's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Claudio",
"William",
"Irene",
"Margaret"
] | 24,440 | forehead-1 | 1 | 0.999317 | 0.000683 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] Agentb knows that (Agenta knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Daphne can now know that Christopher can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Christopher",
"Daphne",
"Jesse"
] | 18,246 | forehead_mirror-0 | 0 | 0.977366 | 0.022634 |
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. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0 | Ed can now know whether Zoe can know whether or not nobody is thirsty. | internal | 1 | 3 | entailment | [
"Ed",
"Zoe",
"Stephen"
] | 64,585 | internal-1 | 1 | 0.999337 | 0.000663 |
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 Michael knows whether Michael is thirsty. It is publicly announced that Michael knows whether someone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] (Agentb knows whether (1&2&3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] 0 | Sherman can now know whether or not everyone is thirsty. | internal | 0 | 3 | entailment | [
"Mary",
"Sherman",
"Michael"
] | 20,013 | internal-1 | 1 | 0.988608 | 0.011392 |
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 Frank 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)) ] (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 (1|2|3|4)) ] 0 | Kayla can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Gloria",
"Frank",
"Pearl",
"Kayla"
] | 46,151 | forehead_mirror-0 | 0 | 0.998599 | 0.001401 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Betty's card is shown to Betty. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 VALID? [ ! (1|2|3) ] (Agenta knows that (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 VALID? [ ! (1|2|3) ] 0 | Betty can now know that nobody picked a red card. | explicit | 0 | 3 | not_entailment | [
"Betty",
"Milagros",
"Jorge"
] | 17,165 | explicit-0 | 0 | 0.998893 | 0.001107 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Stanley can now know whether Franklin is thirsty. | internal | 0 | 4 | not_entailment | [
"Paz",
"Stanley",
"Franklin",
"Michael"
] | 49,733 | internal-0 | 0 | 0.996418 | 0.003582 |
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)) ] (Agenta 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) ] [ ! (~(1&2&3&4)) ] 0 | Sidney can now know that Sidney's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Sidney",
"Dorothy",
"Derek",
"William"
] | 42,965 | forehead_mirror-0 | 0 | 0.992699 | 0.007301 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dolores is thirsty. It is publicly announced that Marilyn does not know whether Mark is thirsty. It is publicly announced that Nellie knows whether or not nobody is thirsty. It is publicly announced that Nellie is not thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! ~(3) ] Agentb knows that (Agentc knows that 3) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! ~(3) ] 0 | Marilyn can now know that Nellie can know that Nellie is thirsty. | internal | 1 | 4 | not_entailment | [
"Mark",
"Marilyn",
"Nellie",
"Dolores"
] | 21,425 | internal-0 | 0 | 0.976166 | 0.023834 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joann's card is shown to Rick. Howard's card is shown to Rick. Howard's card is shown to Joann. Rick's card is shown to Howard. Howard's card is shown to Howard. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] (Agentc knows whether (1&2&3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0 | Howard can now know whether or not everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Rick",
"Joann",
"Howard"
] | 53,522 | explicit-0 | 0 | 0.994706 | 0.005294 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Hazel does not know whether Adam is thirsty. It is publicly announced that Adam is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! 1 ] (Agentb knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! 1 ] 0 | Hazel can now know whether someone is thirsty. | internal | 0 | 2 | entailment | [
"Adam",
"Hazel"
] | 19,893 | internal-1 | 1 | 0.999512 | 0.000488 |
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 (Agentc 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) ] [ ! (1&2&3&4) ] 0 | James can now know that Irving can know whether William's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Elliott",
"James",
"Irving",
"William"
] | 66,615 | forehead_mirror-1 | 1 | 0.999435 | 0.000565 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Magda's card is shown to Magda. James's card is shown to Magda. Patrick's card is shown to Magda. Patrick's card is shown to Sharon. Magda's card is shown to Patrick. James's card is shown to Patrick. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:4 Agentc:1,2 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows that (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:4 Agentc:1,2 VALID? [ ! (1|2|3|4) ] 0 | Magda can now know whether James can know that everyone picked a red card. | explicit | 1 | 4 | entailment | [
"Magda",
"James",
"Sharon",
"Patrick"
] | 61,570 | explicit-1 | 1 | 0.98536 | 0.01464 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Melissa does not know whether Melissa's forehead is muddy. It is publicly announced that Ronald knows whether someone's forehead is muddy. It is publicly announced that Ronald knows whether Carol's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! (Agentb knows whether 3) ] Agenta knows that (Agentc 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) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! (Agentb knows whether 3) ] 0 | Melissa can now know that Carol can know that everyone's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Melissa",
"Ronald",
"Carol"
] | 18,380 | forehead-0 | 0 | 0.998941 | 0.001059 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] (Agentc knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Vanessa can now know that Vanessa is thirsty. | internal | 0 | 3 | entailment | [
"Aileen",
"Jeffrey",
"Vanessa"
] | 18,536 | internal-1 | 1 | 0.993532 | 0.006468 |
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 Young's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] (Agentb knows whether (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] 0 | Jennie can now know whether or not nobody's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Jimmy",
"Jennie",
"Young"
] | 21,198 | forehead_mirror-1 | 1 | 0.999384 | 0.000616 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Melissa's card is shown to Melissa. Melissa's card is shown to Alberto. It is publicly announced that someone picked a red card. It is publicly announced that Alberto does not know whether or not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] Agentb knows whether (Agenta knows that (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Alberto can now know whether Melissa can know that everyone picked a red card. | explicit | 1 | 2 | entailment | [
"Melissa",
"Alberto"
] | 27,206 | explicit-1 | 1 | 0.974814 | 0.025186 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jill does not know whether Timothy 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 (Agentb knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0 | William can now know whether Jill can know whether Timothy is thirsty. | internal | 1 | 4 | entailment | [
"William",
"Jill",
"Timothy",
"Mark"
] | 23,389 | internal-1 | 1 | 0.999202 | 0.000798 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Annette knows whether Richard'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) ] Agentb knows whether (Agentc knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] 0 | Richard can now know whether Janice can know whether Janice's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Annette",
"Richard",
"Janice"
] | 64,749 | forehead-0 | 0 | 0.990042 | 0.009958 |
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 Gabrielle's forehead is muddy. It is publicly announced that Christian 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) ] [ ! 3 ] [ ! (Agentd knows whether (1|2|3|4)) ] Agentb knows whether (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) ] [ ! 3 ] [ ! (Agentd knows whether (1|2|3|4)) ] 0 | Mary can now know whether Gabrielle can know whether someone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Jeanne",
"Mary",
"Gabrielle",
"Christian"
] | 38,287 | forehead_mirror-1 | 1 | 0.999424 | 0.000576 |
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) ] Agentc knows whether (Agentb knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0 | Donald can now know whether Lawrence can know whether Donald's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Laura",
"Lawrence",
"Donald"
] | 826 | forehead-1 | 1 | 0.991614 | 0.008386 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jesse is not thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (~(1&2&3)) ] Agentc 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) ] [ ! (~(1&2&3)) ] 0 | Edward can now know that Thomas can know that someone is thirsty. | internal | 1 | 3 | entailment | [
"Jesse",
"Thomas",
"Edward"
] | 25,978 | internal-1 | 1 | 0.999404 | 0.000596 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Dorene's forehead is not muddy. It is publicly announced that Richard knows whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! (Agentd knows whether (1&2&3&4)) ] (Agenta 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) ] [ ! ~(3) ] [ ! (Agentd knows whether (1&2&3&4)) ] 0 | Donna can now know that Donna's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Donna",
"Travis",
"Dorene",
"Richard"
] | 11,789 | forehead-0 | 0 | 0.993993 | 0.006007 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Chrissy's card is shown to Chrissy. Sophie's card is shown to Chrissy. Sophie's card is shown to Sophie. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] Agentb knows that (Agenta knows whether (1|2)) | 0 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] 0 | Sophie can now know that Chrissy can know whether someone picked a red card. | explicit | 1 | 2 | entailment | [
"Chrissy",
"Sophie"
] | 31,187 | explicit-1 | 1 | 0.9994 | 0.0006 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Eric does not know whether Eric's forehead is muddy. It is publicly announced that Betty'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) ] [ ! 3 ] (Agenta knows that (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! 3 ] 0 | Leo can now know that someone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Leo",
"Tamara",
"Betty",
"Eric"
] | 27,982 | forehead-1 | 1 | 0.9995 | 0.0005 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Roberto knows 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 (1&2&3)) ] Agentb knows that (Agenta 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 | Roberto can now know that Ronald can know that Ronald is thirsty. | internal | 1 | 3 | not_entailment | [
"Ronald",
"Roberto",
"Matthew"
] | 31,068 | internal-0 | 0 | 0.96791 | 0.03209 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ivan does not know whether Carole is thirsty. It is publicly announced that Kathryn does not know whether Joseph is thirsty. It is publicly announced that Ivan does not know whether Kathryn 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 2) ] [ ! ~(Agentd knows whether 1) ] Agenta knows that (Agentc knows that 3) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd knows whether 1) ] 0 | Kathryn can now know that Carole can know that Carole is thirsty. | internal | 1 | 4 | not_entailment | [
"Kathryn",
"Joseph",
"Carole",
"Ivan"
] | 61,782 | internal-0 | 0 | 0.995633 | 0.004367 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Anna 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))) ] Agenta knows whether (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) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | Lawrence can now know whether Justin can know that nobody is thirsty. | internal | 1 | 3 | entailment | [
"Lawrence",
"Anna",
"Justin"
] | 12,663 | internal-1 | 1 | 0.999245 | 0.000755 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Julienne 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) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agenta knows whether (Agentb 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) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Julienne can now know whether Jimmy can know that Wilbert's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Julienne",
"Jimmy",
"Wilbert"
] | 51,875 | forehead-1 | 1 | 0.966034 | 0.033966 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to William. Harlan's card is shown to William. Joyce's card is shown to Harlan. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1 VALID? [ ! (1|2|3|4) ] (Agentb knows whether (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1 VALID? [ ! (1|2|3|4) ] 0 | William can now know whether or not nobody picked a red card. | explicit | 0 | 4 | entailment | [
"Joyce",
"William",
"Dorothy",
"Harlan"
] | 58,298 | explicit-1 | 1 | 0.999321 | 0.000679 |
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 Karin'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 ] (Agentc knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] 0 | Anthony can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Karin",
"Drew",
"Anthony",
"David"
] | 4,861 | forehead_mirror-0 | 0 | 0.998827 | 0.001173 |
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 James knows whether someone is thirsty. It is publicly announced that Pamela does not know whether James is thirsty. It is publicly announced that Pamela knows whether or not nobody is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (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) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0 | William can now know whether someone is thirsty. | internal | 0 | 3 | entailment | [
"William",
"Pamela",
"James"
] | 59,874 | internal-1 | 1 | 0.999328 | 0.000672 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Richard's card is shown to Wayne. Richard's card is shown to Richard. Tom's card is shown to Richard. David's card is shown to Richard. Richard's card is shown to David. David's card is shown to David. It is publicly announced that someone picked a red card. It is publicly announced that Wayne does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,3,4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentc knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,3,4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Tom can now know that Wayne picked a red card. | explicit | 0 | 4 | not_entailment | [
"Wayne",
"Richard",
"Tom",
"David"
] | 37,608 | explicit-0 | 0 | 0.919626 | 0.080374 |
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 Amy's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] (Agentc knows that 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 | Amy can now know that Pete's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Kendra",
"Pete",
"Amy",
"Troy"
] | 32,680 | forehead_mirror-0 | 0 | 0.994513 | 0.005487 |
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 David knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] (Agentb knows that 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] 0 | David can now know that Eli's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Eli",
"David",
"Eugene"
] | 22,232 | forehead_mirror-0 | 0 | 0.998104 | 0.001896 |
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 Janelle'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 ] (Agentd knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] 0 | Linda can now know that Linda's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Jose",
"Janelle",
"Michael",
"Linda"
] | 51,570 | forehead_mirror-0 | 0 | 0.993435 | 0.006565 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agenta knows whether (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Walter can now know whether or not everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"Walter",
"Willard",
"Rebecca",
"Frank"
] | 22,389 | internal-0 | 0 | 0.992521 | 0.007479 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Janet knows whether someone is thirsty. It is publicly announced that Paula does not know whether or not everyone is thirsty. It is publicly announced that Paula does not know whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentb knows whether (Agentc knows that 1) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Monica can now know whether Janet can know that Paula is thirsty. | internal | 1 | 3 | entailment | [
"Paula",
"Monica",
"Janet"
] | 6,458 | internal-1 | 1 | 0.981558 | 0.018442 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Guadalupe's forehead is muddy. It is publicly announced that Guadalupe's forehead is muddy. It is publicly announced that William'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 ] [ ! 3 ] [ ! 2 ] (Agentb 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) ] [ ! 3 ] [ ! 3 ] [ ! 2 ] 0 | William can now know that Tara's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Tara",
"William",
"Guadalupe",
"Madeline"
] | 52,154 | forehead-0 | 0 | 0.937017 | 0.062983 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jacob knows whether Tracey's forehead is muddy. It is publicly announced that Seth 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) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentb knows whether (Agenta knows whether (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Jacob can now know whether Tracey can know whether or not everyone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Tracey",
"Jacob",
"Seth"
] | 66,168 | forehead-1 | 1 | 0.938452 | 0.061548 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentb knows that (Agenta 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) ] [ ! (1|2|3|4) ] 0 | Teresa can now know that Nikki can know that Jamie's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Nikki",
"Teresa",
"Jamie",
"Eric"
] | 1,189 | forehead-0 | 0 | 0.996157 | 0.003843 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Phillip is not thirsty. It is publicly announced that John is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! 1 ] Agentb knows whether (Agentd knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! 1 ] 0 | Catherine can now know whether Phillip can know that Catherine is thirsty. | internal | 1 | 4 | entailment | [
"John",
"Catherine",
"Susan",
"Phillip"
] | 56,099 | internal-1 | 1 | 0.969258 | 0.030742 |
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 Lois knows whether someone's forehead is muddy. It is publicly announced that Aida knows whether someone's forehead is muddy. It is publicly announced that Michael knows whether Aida's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (Agenta knows whether 4) ] (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) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (Agenta knows whether 4) ] 0 | Michael can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Michael",
"Micheal",
"Lois",
"Aida"
] | 46,078 | forehead_mirror-0 | 0 | 0.998998 | 0.001002 |
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 David knows whether David's forehead is muddy. It is publicly announced that David's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! 1 ] Agenta knows that (Agentb knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! 1 ] 0 | David can now know that Scott can know that everyone's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"David",
"Scott"
] | 63,495 | forehead_mirror-0 | 0 | 0.998217 | 0.001783 |
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 David knows whether or not nobody's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (1|2) ] (Agenta knows that (~(1|2))) | 3 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (1|2) ] 0 | David can now know that nobody's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"David",
"Maria"
] | 33,226 | forehead-0 | 0 | 0.990164 | 0.009836 |
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 Rocky knows whether Rocky's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] Agenta knows that (Agentc knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] 0 | Eddie can now know that Rocky can know whether Eddie's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Eddie",
"Frank",
"Rocky"
] | 32,477 | forehead_mirror-1 | 1 | 0.999387 | 0.000613 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Doris does not know whether Merry is thirsty. It is publicly announced that Doris knows whether or not nobody is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (~(1|2))) ] (Agentb knows whether 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Doris can now know whether Merry is thirsty. | internal | 0 | 2 | not_entailment | [
"Merry",
"Doris"
] | 48,439 | internal-0 | 0 | 0.996104 | 0.003896 |
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 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 | Joanna can now know that nobody's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Joanna",
"George",
"Kristen",
"Brian"
] | 31,109 | forehead-0 | 0 | 0.998351 | 0.001649 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Lena does not know whether or not everyone's forehead is muddy. It is publicly announced that Lena does not know whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] (Agenta knows whether (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Jose can now know whether or not everyone's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Jose",
"Lena"
] | 26,769 | forehead-1 | 1 | 0.898075 | 0.101925 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ellen does not know whether or not everyone's forehead is muddy. It is publicly announced that Ellen'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) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(3) ] Agentb knows that (Agentc knows whether (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(3) ] 0 | Matthew can now know that Ellen can know whether or not everyone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Dwayne",
"Matthew",
"Ellen",
"Howard"
] | 7,380 | forehead-1 | 1 | 0.938323 | 0.061677 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Eric does not know whether Frances is thirsty. It is publicly announced that Gloria does not know whether Eric is thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether 3) ] [ ! (~(1&2&3)) ] Agentc knows whether (Agentb knows that 3) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether 3) ] [ ! (~(1&2&3)) ] 0 | Eric can now know whether Gloria can know that Eric is thirsty. | internal | 1 | 3 | entailment | [
"Frances",
"Gloria",
"Eric"
] | 1,864 | internal-1 | 1 | 0.970825 | 0.029175 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kimberly's card is shown to Karen. Karen's card is shown to Kimberly. Kimberly's card is shown to Kimberly. Karen's card is shown to Richard. It is publicly announced that someone picked a red card. It is publicly announced that Karen does not know whether Karen picked a red card. It is publicly announced that everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (1&2&3) ] (Agenta knows whether 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (1&2&3) ] 0 | Karen can now know whether Richard picked a red card. | explicit | 0 | 3 | entailment | [
"Karen",
"Kimberly",
"Richard"
] | 14,753 | explicit-1 | 1 | 0.98431 | 0.01569 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kelvin's card is shown to Melissa. Melissa's card is shown to Melissa. It is publicly announced that someone picked a red card. It is publicly announced that Kelvin knows whether someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] (Agenta knows whether (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] 0 | Kelvin can now know whether someone picked a red card. | explicit | 0 | 2 | entailment | [
"Kelvin",
"Melissa"
] | 62,091 | explicit-1 | 1 | 0.999383 | 0.000617 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Roberto does not know whether Beverly is thirsty. It is publicly announced that Mauricio does not know whether Ira is thirsty. It is publicly announced that Ira does not know whether Roberto is thirsty. It is publicly announced that Roberto 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) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentb knows that 4) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0 | Beverly can now know that Ira is thirsty. | internal | 0 | 4 | not_entailment | [
"Mauricio",
"Beverly",
"Roberto",
"Ira"
] | 30,036 | internal-0 | 0 | 0.994978 | 0.005022 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Manuel does not know whether or not everyone is thirsty. It is publicly announced that Manuel does not know whether or not everyone is thirsty. It is publicly announced that Manuel does not know whether Colleen is thirsty. It is publicly announced that Manuel knows whether or not nobody is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (~(1|2))) ] (Agenta knows that (~(1|2))) | 4 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Colleen can now know that nobody is thirsty. | internal | 0 | 2 | not_entailment | [
"Colleen",
"Manuel"
] | 28,253 | internal-0 | 0 | 0.999071 | 0.000929 |
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 Paul's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] Agentb knows that (Agentd 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) ] [ ! 4 ] 0 | Stanley can now know that Paul can know whether Roger's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Beverley",
"Stanley",
"Roger",
"Paul"
] | 64,894 | forehead_mirror-1 | 1 | 0.99945 | 0.00055 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brent's card is shown to Janie. Janie's card is shown to Barbara. Barbara's card is shown to Barbara. Barbara's card is shown to Brent. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] (Agenta knows that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] 0 | Janie can now know that Barbara picked a red card. | explicit | 0 | 3 | not_entailment | [
"Janie",
"Barbara",
"Brent"
] | 522 | explicit-0 | 0 | 0.996812 | 0.003188 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Monica does not know whether Monica'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)) ] [ ! ~(Agentc knows whether 3) ] (Agentb 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) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 3) ] 0 | Candace can now know whether or not everyone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"James",
"Candace",
"Monica"
] | 57,354 | forehead-1 | 1 | 0.991684 | 0.008316 |
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 Adrienne knows whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] (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) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0 | Robert can now know whether Robert's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Donald",
"Robert",
"Adrienne",
"Karen"
] | 50,037 | forehead_mirror-1 | 1 | 0.999438 | 0.000562 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brandon is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] (Agentc knows that (1|2|3|4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0 | Renato can now know that someone is thirsty. | internal | 0 | 4 | entailment | [
"Jim",
"Kimberly",
"Renato",
"Brandon"
] | 55,150 | internal-1 | 1 | 0.999539 | 0.000461 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Darryl's card is shown to Darryl. Darryl's card is shown to Mary. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] Agentb knows whether (Agenta knows that 2) | 0 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] 0 | Mary can now know whether Darryl can know that Mary picked a red card. | explicit | 1 | 2 | entailment | [
"Darryl",
"Mary"
] | 25,032 | explicit-1 | 0 | 0.549423 | 1.549423 |
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. | 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 that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0 | Gail can now know that Robert's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Gail",
"Robert",
"June"
] | 40,898 | forehead_mirror-0 | 0 | 0.997593 | 0.002407 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Bernice knows whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agentb knows whether (1&2)) ] Agentb knows whether (Agenta knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agentb knows whether (1&2)) ] 0 | Bernice can now know whether Adrienne can know that everyone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Adrienne",
"Bernice"
] | 21,779 | forehead-1 | 1 | 0.994864 | 0.005136 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Hilda's card is shown to Hilda. Ernestine's card is shown to Hilda. Margaret's card is shown to Ernestine. Marilyn's card is shown to Ernestine. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3,4 VALID? [ ! (1|2|3|4) ] (Agenta knows whether (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3,4 VALID? [ ! (1|2|3|4) ] 0 | Hilda can now know whether someone picked a red card. | explicit | 0 | 4 | entailment | [
"Hilda",
"Ernestine",
"Margaret",
"Marilyn"
] | 33,903 | explicit-1 | 1 | 0.999429 | 0.000571 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Luis does not know whether Luis's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] (Agentb knows that 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] 0 | Dean can now know that Luis's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Luis",
"Dean"
] | 59,319 | forehead-0 | 0 | 0.990738 | 0.009262 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Miranda does not know whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agenta 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) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0 | Jake can now know whether Jonathan can know whether Steve's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Jake",
"Miranda",
"Steve",
"Jonathan"
] | 18,274 | forehead-1 | 1 | 0.999151 | 0.000849 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jayne's card is shown to Jayne. Ruby's card is shown to Jayne. Jayne's card is shown to Christopher. Christopher's card is shown to Christopher. Ruby's card is shown to Christopher. Christopher's card is shown to Ruby. It is publicly announced that someone picked a red card. It is publicly announced that Ruby knows whether someone picked a red card. It is publicly announced that Christopher picked a black card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(2) ] Agentb knows whether (Agentc knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(2) ] 0 | Christopher can now know whether Ruby can know that nobody picked a red card. | explicit | 1 | 3 | entailment | [
"Jayne",
"Christopher",
"Ruby"
] | 54,819 | explicit-1 | 1 | 0.99932 | 0.00068 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Caroline's card is shown to Caroline. Charles's card is shown to Caroline. Jay's card is shown to Caroline. Caroline's card is shown to Charles. Charles's card is shown to Charles. Caroline's card is shown to Jay. Charles's card is shown to Jay. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3) ] Agentc knows whether (Agenta knows whether 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Jay can now know whether Caroline can know whether Caroline picked a red card. | explicit | 1 | 3 | entailment | [
"Caroline",
"Charles",
"Jay"
] | 56,697 | explicit-1 | 1 | 0.997417 | 0.002583 |
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 Melissa knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] Agentd knows whether (Agentc knows whether (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 (~(1|2|3|4))) ] 0 | Brent can now know whether Melissa can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Eileen",
"George",
"Melissa",
"Brent"
] | 23,270 | forehead_mirror-1 | 1 | 0.999201 | 0.000799 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Virginia's card is shown to Hildegard. John's card is shown to John. Virginia's card is shown to John. Virginia's card is shown to Richard. Richard's card is shown to Virginia. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,4 Agentc:4 Agentd: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:4 Agentb:2,4 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] 0 | Richard can now know that Hildegard can know that someone picked a red card. | explicit | 1 | 4 | entailment | [
"Hildegard",
"John",
"Richard",
"Virginia"
] | 21,772 | explicit-1 | 1 | 0.999387 | 0.000613 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Theresa does not know whether Robert is thirsty. It is publicly announced that Kurt 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 4) ] [ ! ~(Agentc knows whether 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) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentc knows whether 4) ] 0 | Thomas can now know whether or not everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"Thomas",
"Theresa",
"Kurt",
"Robert"
] | 46,768 | internal-0 | 0 | 0.996716 | 0.003284 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Yvonne does not know whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentb knows whether (Agentd knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | Joseph can now know whether Yvonne can know whether or not everyone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Mildred",
"Joseph",
"Sarah",
"Yvonne"
] | 34,749 | forehead-1 | 1 | 0.850346 | 0.149654 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michelle 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) ] [ ! ~(Agentb knows whether 3) ] Agentd 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) ] [ ! ~(Agentb knows whether 3) ] 0 | James can now know that Carol can know that nobody is thirsty. | internal | 1 | 4 | not_entailment | [
"Carol",
"Michelle",
"Mary",
"James"
] | 49,932 | internal-0 | 0 | 0.99895 | 0.00105 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Thomas knows whether Miriam'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 2) ] Agentb knows that (Agenta knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] 0 | Miriam can now know that Thomas can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Thomas",
"Miriam",
"Carolina"
] | 40,404 | forehead_mirror-0 | 0 | 0.998969 | 0.001031 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Claude does not know whether Claude's forehead is muddy. It is publicly announced that Dean does not know whether Dean's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agenta knows whether 1) ] Agentb knows whether (Agentc knows whether 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 3) ] [ ! ~(Agenta knows whether 1) ] 0 | Kay can now know whether Claude can know whether Dean's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Dean",
"Kay",
"Claude"
] | 90 | forehead-1 | 1 | 0.999129 | 0.000871 |
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 Mario knows whether Alan'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) ] Agentc 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) ] [ ! (Agentd knows whether 1) ] 0 | James can now know that Michael can know whether Michael's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Alan",
"Michael",
"James",
"Mario"
] | 10,880 | forehead_mirror-1 | 1 | 0.999388 | 0.000612 |