premise
stringlengths 104
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| smcdel_problem
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| n_announcements
int64 0
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| hypothesis
stringlengths 37
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stringclasses 2
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int64 1
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int64 0
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float64 0.5
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float64 0
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 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) ] [ ! (1&2&3&4) ] 0 | Fredrick can now know that Alfred can know that nobody is thirsty. | internal | 1 | 4 | not_entailment | [
"Alfred",
"Dana",
"Kathleen",
"Fredrick"
] | 33,085 | internal-0 | 0 | 0.99278 | 0.00722 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Virgie knows whether someone is thirsty. It is publicly announced that Kelly 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) ] Agentb knows that (Agenta knows that 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 | Kelly can now know that Virgie can know that Kelly is thirsty. | internal | 1 | 2 | entailment | [
"Virgie",
"Kelly"
] | 36,704 | internal-1 | 1 | 0.994449 | 0.005551 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Amy does not know whether Heather is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] Agentc knows that (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 | Angel can now know that Amy can know whether or not nobody is thirsty. | internal | 1 | 3 | entailment | [
"Amy",
"Heather",
"Angel"
] | 45,886 | internal-1 | 1 | 0.999709 | 0.000291 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Luz does not know whether or not everyone's forehead is muddy. It is publicly announced that Luz does not know whether Luz's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 4) ] (Agentb 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) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 4) ] 0 | Joe can now know that Margarita's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Margarita",
"Joe",
"George",
"Luz"
] | 6,235 | forehead-1 | 1 | 0.592879 | 0.407121 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lloyd knows whether Lloyd is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] Agentb knows whether (Agenta knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] 0 | Carl can now know whether Lloyd can know whether Carl is thirsty. | internal | 1 | 2 | not_entailment | [
"Lloyd",
"Carl"
] | 28,628 | internal-0 | 1 | 0.997173 | 1.997173 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christopher knows whether Laura is thirsty. It is publicly announced that Christopher knows whether Laura is thirsty. It is publicly announced that Laura knows whether Christopher is thirsty. It is publicly announced that Christopher knows whether someone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] [ ! (Agentb knows whether 1) ] [ ! (Agenta knows whether (1|2)) ] Agenta knows whether (Agentb knows that (~(1|2))) | 4 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] [ ! (Agentb knows whether 1) ] [ ! (Agenta knows whether (1|2)) ] 0 | Christopher can now know whether Laura can know that nobody is thirsty. | internal | 1 | 2 | entailment | [
"Christopher",
"Laura"
] | 38,236 | internal-1 | 1 | 0.999399 | 0.000601 |
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 Patrick knows whether or not nobody's forehead is muddy. It is publicly announced that Brenda knows whether someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agenta knows whether (1|2)) ] Agenta knows whether (Agentb knows whether 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 | Brenda can now know whether Patrick can know whether Patrick's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Brenda",
"Patrick"
] | 9,311 | forehead_mirror-1 | 1 | 0.999596 | 0.000404 |
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) ] Agentc knows whether (Agentb knows that (~(1|2|3))) | 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 | Leslie can now know whether Elizabeth can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Mary",
"Elizabeth",
"Leslie"
] | 65,736 | forehead_mirror-1 | 1 | 0.999718 | 0.000282 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kimberly does not know whether Johnnie 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 that (Agentd knows whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0 | Johnnie can now know that Thomas can know whether Johnnie is thirsty. | internal | 1 | 4 | not_entailment | [
"Johnnie",
"Kimberly",
"Emilie",
"Thomas"
] | 28,694 | internal-0 | 0 | 0.992618 | 0.007382 |
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 Eliza knows whether Eliza'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 3) ] Agenta knows that (Agentc 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) ] [ ! (Agentc knows whether 3) ] 0 | Patricia can now know that Eliza can know that Patricia's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Patricia",
"Ada",
"Eliza",
"Albert"
] | 13,276 | forehead_mirror-0 | 0 | 0.998268 | 0.001732 |
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 Nancy 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) ] [ ! (Agenta knows whether (1&2&3)) ] Agentb knows that (Agenta 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) ] [ ! (Agenta knows whether (1&2&3)) ] 0 | Melvin can now know that Nancy can know that Brenda's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Nancy",
"Melvin",
"Brenda"
] | 43,854 | forehead_mirror-0 | 0 | 0.915658 | 0.084342 |
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 Angel 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&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) ] [ ! (Agentb knows whether (1|2|3)) ] 0 | Angel can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Astrid",
"Angel",
"Joshua"
] | 2,575 | forehead_mirror-0 | 0 | 0.998489 | 0.001511 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rosalie's card is shown to Rosalie. Rosalie's card is shown to Patricia. Patricia's card is shown to Patricia. It is publicly announced that someone picked a red card. It is publicly announced that Patricia knows whether Patricia picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] Agenta knows that (Agentb knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] 0 | Rosalie can now know that Patricia can know whether Patricia picked a red card. | explicit | 1 | 2 | entailment | [
"Rosalie",
"Patricia"
] | 64,561 | explicit-1 | 1 | 0.754429 | 0.245571 |
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)) ] Agentd knows whether (Agenta 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&2&3&4)) ] 0 | Lloyd can now know whether Frank can know whether someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Frank",
"James",
"Joan",
"Lloyd"
] | 38,993 | forehead-1 | 1 | 0.999776 | 0.000224 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Dona does not know whether Dona's forehead is muddy. It is publicly announced that Frank does not know whether Frank's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentc knows whether 3) ] Agentb knows whether (Agentc knows whether 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentc knows whether 3) ] 0 | Lola can now know whether Frank can know whether Lola's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Dona",
"Lola",
"Frank"
] | 17,836 | forehead-1 | 1 | 0.997402 | 0.002598 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Eduardo does not know whether James 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) ] (Agentc knows whether (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] 0 | David can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"James",
"Donald",
"David",
"Eduardo"
] | 4,212 | internal-1 | 1 | 0.999716 | 0.000284 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Consuelo does not know whether Evelyn 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 2) ] (Agentc knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] 0 | Jennifer can now know that Mark is thirsty. | internal | 0 | 4 | not_entailment | [
"Mark",
"Evelyn",
"Jennifer",
"Consuelo"
] | 66,210 | internal-0 | 0 | 0.998347 | 0.001653 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to James. Liliana's card is shown to James. James's card is shown to Liliana. Liliana's card is shown to Liliana. Myron's card is shown to Liliana. Myron's card is shown to Lawrence. James's card is shown to Myron. Lawrence's card is shown to Myron. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,2,4 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,2,4 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0 | James can now know whether Lawrence can know that Lawrence picked a red card. | explicit | 1 | 4 | entailment | [
"James",
"Liliana",
"Lawrence",
"Myron"
] | 35,118 | explicit-1 | 1 | 0.606578 | 0.393422 |
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 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) ] [ ! (Agentd knows whether (1&2&3&4)) ] Agenta knows that (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) ] [ ! (Agentd knows whether (1&2&3&4)) ] 0 | Tracy can now know that Joy can know that David's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Tracy",
"Joy",
"David",
"Frank"
] | 29,919 | forehead_mirror-0 | 0 | 0.941577 | 0.058423 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Eva does not know whether or not everyone is thirsty. It is publicly announced that Eva does not know whether David is thirsty. It is publicly announced that Gregory does not know whether David is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows whether 3) | 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&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 3) ] 0 | Gregory can now know whether David is thirsty. | internal | 0 | 4 | not_entailment | [
"Gregory",
"Eva",
"David",
"Karen"
] | 66,678 | internal-0 | 0 | 0.857031 | 0.142969 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Betty knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] (Agentb knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] 0 | Betty can now know whether someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Jewell",
"Betty",
"Katrina"
] | 52,306 | forehead-1 | 1 | 0.999741 | 0.000259 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cinda's card is shown to Cinda. Elizabeth's card is shown to Cinda. Thomas's card is shown to Cinda. Cinda's card is shown to Elizabeth. Elizabeth's card is shown to Elizabeth. Cinda's card is shown to Thomas. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentc knows whether (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3|4) ] 0 | Cinda can now know that Elizabeth can know whether someone picked a red card. | explicit | 1 | 4 | entailment | [
"Betty",
"Cinda",
"Elizabeth",
"Thomas"
] | 38,301 | explicit-1 | 1 | 0.99978 | 0.00022 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Pearl's card is shown to Pearl. Pearl's card is shown to Joshua. Joshua's card is shown to Joshua. It is publicly announced that someone picked a red card. It is publicly announced that Pearl knows whether someone picked a red card. It is publicly announced that Pearl does not know whether Joshua picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! ~(Agenta knows whether 2) ] 0 | Pearl can now know whether someone picked a red card. | explicit | 0 | 2 | entailment | [
"Pearl",
"Joshua"
] | 901 | explicit-1 | 1 | 0.99978 | 0.00022 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Bonnie's card is shown to Franklin. Corey's card is shown to Bonnie. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3) ] (Agentb knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3) ] 0 | Bonnie can now know that Corey picked a red card. | explicit | 0 | 3 | not_entailment | [
"Franklin",
"Bonnie",
"Corey"
] | 28,989 | explicit-0 | 0 | 0.998405 | 0.001595 |
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 Willie knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] (Agentc 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) ] [ ! (Agenta knows whether (1&2&3)) ] 0 | Aaron can now know that nobody's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Willie",
"Timothy",
"Aaron"
] | 3,333 | forehead-0 | 0 | 0.998196 | 0.001804 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Thomas 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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentc 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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Constance can now know that Matthew can know that Jerry's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Thomas",
"Matthew",
"Constance",
"Jerry"
] | 12,034 | forehead-1 | 1 | 0.619216 | 0.380784 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Heather is not thirsty. It is publicly announced that Heather is not thirsty. It is publicly announced that Hazel does not know whether Cheri is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 1) ] Agentd knows whether (Agentc knows that 4) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 1) ] 0 | Heather can now know whether Viola can know that Heather is thirsty. | internal | 1 | 4 | entailment | [
"Cheri",
"Hazel",
"Viola",
"Heather"
] | 20,262 | internal-1 | 1 | 0.994933 | 0.005067 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brian 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) ] [ ! (Agentb knows whether (1|2|3|4)) ] Agenta knows whether (Agentd 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) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Thomas can now know whether Ernesto can know that Thomas is thirsty. | internal | 1 | 4 | entailment | [
"Thomas",
"Brian",
"Janice",
"Ernesto"
] | 24,197 | internal-1 | 1 | 0.970219 | 0.029781 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jean knows whether 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) ] [ ! (Agenta knows whether (1|2)) ] [ ! (1&2) ] (Agentb knows whether (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! (1&2) ] 0 | John can now know whether or not everyone's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Jean",
"John"
] | 47,891 | forehead-1 | 1 | 0.996386 | 0.003614 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Derrick knows whether or not everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] Agentb knows whether (Agenta knows that (1|2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] 0 | Marie can now know whether Derrick can know that someone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Derrick",
"Marie"
] | 7,185 | forehead_mirror-1 | 1 | 0.999779 | 0.000221 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Darrell's card is shown to Jeremy. Jeremy's card is shown to Darrell. Christina's card is shown to Darrell. Darrell's card is shown to Christina. Gonzalo's card is shown to Christina. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:2,4 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:2,4 VALID? [ ! (1|2|3|4) ] 0 | Darrell can now know whether Gonzalo picked a red card. | explicit | 0 | 4 | not_entailment | [
"Jeremy",
"Darrell",
"Christina",
"Gonzalo"
] | 7,356 | explicit-0 | 0 | 0.772299 | 0.227701 |
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 someone's forehead is muddy. It is publicly announced that Nancy knows whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] (Agenta knows that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] 0 | Nancy can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 2 | not_entailment | [
"Nancy",
"Lashanda"
] | 11,467 | forehead_mirror-0 | 0 | 0.998381 | 0.001619 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] (Agentd 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) ] [ ! (1&2&3&4) ] 0 | Donald can now know that Donald is thirsty. | internal | 0 | 4 | entailment | [
"Betty",
"Rosanne",
"Joshua",
"Donald"
] | 45,546 | internal-1 | 1 | 0.996147 | 0.003853 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bridget is thirsty. It is publicly announced that Ian does not know whether James is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] [ ! ~(Agentb knows whether 3) ] Agentc knows whether (Agenta knows whether (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] [ ! ~(Agentb knows whether 3) ] 0 | James can now know whether Bridget can know whether or not nobody is thirsty. | internal | 1 | 3 | entailment | [
"Bridget",
"Ian",
"James"
] | 38,340 | internal-1 | 1 | 0.999701 | 0.000299 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Troy does not know whether Leo is thirsty. It is publicly announced that Leo does not know whether Thelma 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) ] Agentd knows that (Agentc knows whether 1) | 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 1) ] [ ! ~(Agenta knows whether 4) ] 0 | Thelma can now know that Sara can know whether Leo is thirsty. | internal | 1 | 4 | not_entailment | [
"Leo",
"Troy",
"Sara",
"Thelma"
] | 58,611 | internal-0 | 0 | 0.991135 | 0.008865 |
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 Constance's forehead is not muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Bernadine knows whether Constance'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) ] [ ! (~(1&2&3)) ] [ ! (Agenta knows whether 3) ] Agentc knows that (Agentb knows that 1) | 3 | 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) ] [ ! (~(1&2&3)) ] [ ! (Agenta knows whether 3) ] 0 | Constance can now know that Margaret can know that Bernadine's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Bernadine",
"Margaret",
"Constance"
] | 51,847 | forehead_mirror-0 | 0 | 0.97412 | 0.02588 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ashley knows whether Frank's forehead is muddy. It is publicly announced that Frank 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) ] [ ! ~(Agenta knows whether (1&2)) ] (Agentb knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] [ ! ~(Agenta knows whether (1&2)) ] 0 | Ashley can now know whether Ashley's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Frank",
"Ashley"
] | 31,078 | forehead-1 | 0 | 0.589593 | 1.589593 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ralph knows whether Ralph is thirsty. It is publicly announced that Leon does not know whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentc knows that (Agenta knows that (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Donald can now know that Ralph can know that someone is thirsty. | internal | 1 | 3 | entailment | [
"Ralph",
"Leon",
"Donald"
] | 59,047 | internal-1 | 1 | 0.999782 | 0.000218 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Lisa 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 that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Darleen can now know that nobody's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Julie",
"Lisa",
"Darleen"
] | 36,449 | forehead-0 | 0 | 0.997785 | 0.002215 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Chelsea knows whether or not nobody's forehead is muddy. It is publicly announced that Ralph does not know whether or not everyone's forehead is muddy. It is publicly announced that Ralph's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 2 ] Agentb knows that (Agenta knows that (1&2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 2 ] 0 | Ralph can now know that Chelsea can know that everyone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Chelsea",
"Ralph"
] | 27,847 | forehead-1 | 0 | 0.991937 | 1.991937 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kristen is not thirsty. It is publicly announced that Clarence does not know whether Richard 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) ] Agentd knows that (Agentc knows whether 3) | 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 | Joseph can now know that Kristen can know whether Kristen is thirsty. | internal | 1 | 4 | entailment | [
"Clarence",
"Richard",
"Kristen",
"Joseph"
] | 23,864 | internal-1 | 1 | 0.999149 | 0.000851 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Valarie's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(2) ] Agenta knows that (Agentb knows that 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(2) ] 0 | Bianca can now know that Valarie can know that Valarie's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Bianca",
"Valarie"
] | 39,921 | forehead-0 | 0 | 0.953135 | 0.046865 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sherry's card is shown to Ora. Ora's card is shown to Cesar. Dorothy's card is shown to Cesar. Ora's card is shown to Dorothy. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:1 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentc knows whether (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:1 VALID? [ ! (1|2|3|4) ] 0 | Sherry can now know whether Cesar can know whether or not everyone picked a red card. | explicit | 1 | 4 | entailment | [
"Ora",
"Sherry",
"Cesar",
"Dorothy"
] | 33,792 | explicit-1 | 0 | 0.896684 | 1.896684 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dorothy 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) ] [ ! (Agentb knows whether (1|2|3|4)) ] Agentb knows that (Agentc knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Dorothy can now know that Timothy can know that Mark is thirsty. | internal | 1 | 4 | not_entailment | [
"Jill",
"Dorothy",
"Timothy",
"Mark"
] | 38,615 | internal-0 | 0 | 0.998577 | 0.001423 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Tessa knows whether or not nobody's forehead is muddy. It is publicly announced that Tessa knows whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (Agenta knows whether (1&2)) ] Agenta knows whether (Agentb knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (Agenta knows whether (1&2)) ] 0 | Tessa can now know whether Christine can know that Tessa's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Tessa",
"Christine"
] | 50,799 | forehead-1 | 1 | 0.669258 | 0.330742 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Christopher knows whether Melissa'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 (Agenta knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] 0 | Melissa can now know whether Christopher can know that everyone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Christopher",
"Melissa",
"Richard"
] | 17,963 | forehead-1 | 1 | 0.995296 | 0.004704 |
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. 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) ] [ ! (1|2|3|4) ] (Agentd 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) ] [ ! (1&2&3&4) ] [ ! (1|2|3|4) ] 0 | Chi can now know that Chi's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Wendy",
"George",
"Rose",
"Chi"
] | 67,361 | forehead_mirror-1 | 1 | 0.994983 | 0.005017 |
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) ] [ ! ~(Agentc knows whether 3) ] Agenta knows that (Agentb 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) ] [ ! ~(Agentc knows whether 3) ] 0 | James can now know that Bobbie can know whether Bobbie's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"James",
"Bobbie",
"Michael"
] | 8,012 | forehead-0 | 0 | 0.986068 | 0.013932 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Daniel does not know whether Monica 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) ] [ ! ~(Agentd knows whether 2) ] [ ! (1|2|3|4) ] Agentc knows that (Agenta 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 2) ] [ ! (1|2|3|4) ] 0 | Marcia can now know that Jennifer can know that Marcia is thirsty. | internal | 1 | 4 | not_entailment | [
"Jennifer",
"Monica",
"Marcia",
"Daniel"
] | 25,222 | internal-0 | 0 | 0.99713 | 0.00287 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James knows whether James is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] (Agenta knows that (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 3) ] 0 | Sherrie can now know that someone is thirsty. | internal | 0 | 4 | entailment | [
"Sherrie",
"Susan",
"James",
"Robyn"
] | 51,880 | internal-1 | 1 | 0.999754 | 0.000246 |
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 Francis knows whether James's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] [ ! (1|2) ] Agenta knows that (Agentb knows that 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] [ ! (1|2) ] 0 | James can now know that Francis can know that Francis's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"James",
"Francis"
] | 25,183 | forehead_mirror-0 | 0 | 0.997906 | 0.002094 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christie does not know whether Francis is thirsty. It is publicly announced that Christie is not thirsty. It is publicly announced that Ruth knows whether Christie is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(1) ] [ ! (Agentc knows whether 1) ] Agentd knows that (Agentb knows that (~(1|2|3|4))) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(1) ] [ ! (Agentc knows whether 1) ] 0 | Francis can now know that Sheena can know that nobody is thirsty. | internal | 1 | 4 | not_entailment | [
"Christie",
"Sheena",
"Ruth",
"Francis"
] | 48,388 | internal-0 | 0 | 0.998565 | 0.001435 |
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 Cari's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! (~(1&2&3&4)) ] Agentc knows that (Agentd knows whether 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! (~(1&2&3&4)) ] 0 | James can now know that Jacqui can know whether Charis's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Cari",
"Charis",
"James",
"Jacqui"
] | 54,222 | forehead_mirror-1 | 1 | 0.999706 | 0.000294 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. It is publicly announced that Robert knows whether someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether (1|2)) ] (Agentb knows that (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether (1|2)) ] 0 | Velma can now know that someone's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Robert",
"Velma"
] | 13,844 | forehead_mirror-1 | 1 | 0.999779 | 0.000221 |
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 Shirley's forehead is not muddy. It is publicly announced that Raymond's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! 1 ] (Agentb knows that 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! 1 ] 0 | Shirley can now know that Shirley's forehead is muddy. | forehead_mirror | 0 | 2 | not_entailment | [
"Raymond",
"Shirley"
] | 49,981 | forehead_mirror-0 | 0 | 0.696195 | 0.303805 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ward is not thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(2) ] Agentb knows that (Agenta knows whether (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(2) ] 0 | Ward can now know that Kent can know whether or not nobody is thirsty. | internal | 1 | 2 | entailment | [
"Kent",
"Ward"
] | 24,715 | internal-1 | 1 | 0.999728 | 0.000272 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Richard knows whether someone's forehead is muddy. It is publicly announced that Emily knows whether someone's forehead is muddy. It is publicly announced that James knows whether Emily'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) ] (Agentd knows that 3) | 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 | Emily can now know that Richard's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"James",
"Gabriella",
"Richard",
"Emily"
] | 21,642 | forehead_mirror-0 | 0 | 0.997933 | 0.002067 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Edward's forehead is muddy. It is publicly announced that Edward knows whether someone's forehead is muddy. It is publicly announced that Gerardo knows whether Conrad's forehead is muddy. It is publicly announced that Robert does not know whether Robert'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 ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (Agentb knows whether 1) ] [ ! ~(Agentc knows whether 3) ] Agenta knows that (Agentc knows that 1) | 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) ] [ ! 4 ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (Agentb knows whether 1) ] [ ! ~(Agentc knows whether 3) ] 0 | Conrad can now know that Robert can know that Conrad's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Conrad",
"Gerardo",
"Robert",
"Edward"
] | 66,123 | forehead-0 | 0 | 0.937657 | 0.062343 |
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) ] Agentb knows whether (Agentc knows that (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] 0 | David can now know whether Alan can know that everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Mark",
"David",
"Alan",
"Kathy"
] | 64,169 | forehead_mirror-1 | 1 | 0.999593 | 0.000407 |
There are three 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 Margaret knows whether Margaret 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 1) ] (Agentb knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] 0 | William can now know that nobody is thirsty. | internal | 0 | 3 | not_entailment | [
"Margaret",
"William",
"Clyde"
] | 3,969 | internal-0 | 0 | 0.998358 | 0.001642 |
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 Jason knows whether Michael'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) ] Agentc 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) ] [ ! (Agentc knows whether 1) ] 0 | Jason can now know that Helena can know that everyone's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Michael",
"Helena",
"Jason"
] | 36,713 | forehead_mirror-0 | 0 | 0.99846 | 0.00154 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to Sabina. Rene's card is shown to Rene. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows that (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3) ] 0 | William can now know whether Sabina can know that nobody picked a red card. | explicit | 1 | 3 | entailment | [
"Sabina",
"William",
"Rene"
] | 59,264 | explicit-1 | 1 | 0.999547 | 0.000453 |
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 Angela'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) ] [ ! 3 ] [ ! (~(1&2&3&4)) ] Agentb knows that (Agentd knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (~(1&2&3&4)) ] 0 | Casey can now know that Amanda can know that Casey's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Brian",
"Casey",
"Angela",
"Amanda"
] | 48,959 | forehead_mirror-0 | 0 | 0.976731 | 0.023269 |
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 Craig 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)) ] Agentc 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 (1&2&3&4)) ] 0 | Craig can now know whether Albert can know that someone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Glenn",
"Albert",
"Craig",
"Marie"
] | 62,863 | forehead_mirror-1 | 1 | 0.999781 | 0.000219 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jean's card is shown to Marjorie. Marjorie's card is shown to Jean. Jean's card is shown to Jean. Marjorie's card is shown to Elizabeth. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Jean can now know whether Marjorie can know whether Elizabeth picked a red card. | explicit | 1 | 3 | entailment | [
"Marjorie",
"Jean",
"Elizabeth"
] | 57,917 | explicit-1 | 1 | 0.998296 | 0.001704 |
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 Sara'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 ] Agentc knows whether (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 ] 0 | Mary can now know whether Sara can know that someone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Sara",
"Margaret",
"Mary"
] | 39,024 | forehead_mirror-1 | 1 | 0.999784 | 0.000216 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that William knows whether Earl's forehead is muddy. It is publicly announced that William'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 3) ] [ ! 2 ] (Agenta 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 3) ] [ ! 2 ] 0 | Willis can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Willis",
"William",
"Earl",
"Catrina"
] | 41,116 | forehead_mirror-0 | 0 | 0.997996 | 0.002004 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christopher's card is shown to Wendy. Jennifer's card is shown to Wendy. Mary's card is shown to Christopher. Christopher's card is shown to Mary. Jennifer's card is shown to Mary. Christopher's card is shown to Jennifer. It is publicly announced that someone picked a red card. It is publicly announced that Jennifer does not know whether Mary picked a red card. It is publicly announced that Christopher knows whether someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:3 Agentc:2,4 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agenta knows that (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:3 Agentc:2,4 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Wendy can now know that nobody picked a red card. | explicit | 0 | 4 | not_entailment | [
"Wendy",
"Christopher",
"Mary",
"Jennifer"
] | 21,964 | explicit-0 | 0 | 0.998473 | 0.001527 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dorothy's card is shown to Dorothy. Yvonne's card is shown to Dorothy. Dorothy's card is shown to Yvonne. It is publicly announced that someone picked a red card. It is publicly announced that Yvonne does not know whether or not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] Agentb knows that (Agenta knows whether (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Yvonne can now know that Dorothy can know whether someone picked a red card. | explicit | 1 | 2 | entailment | [
"Dorothy",
"Yvonne"
] | 41,195 | explicit-1 | 1 | 0.999778 | 0.000222 |
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) ] Agentb knows that (Agenta knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Germaine can now know that Stephen can know whether Germaine is thirsty. | internal | 1 | 3 | entailment | [
"Stephen",
"Germaine",
"Jimmy"
] | 49,134 | internal-1 | 1 | 0.989806 | 0.010194 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Denice'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 ] Agenta knows whether (Agentb knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! 1 ] 0 | Denice can now know whether Harold can know that nobody's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Denice",
"Harold",
"Regina"
] | 23,858 | forehead-1 | 1 | 0.999588 | 0.000412 |
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 Tina knows whether someone's forehead is muddy. It is publicly announced that Heriberto knows whether Joseph'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) ] (Agentd knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (Agentc knows whether 2) ] 0 | Tina can now know that Joseph's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Betty",
"Joseph",
"Heriberto",
"Tina"
] | 35,729 | forehead_mirror-0 | 0 | 0.997668 | 0.002332 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Craig's card is shown to Craig. Clifton's card is shown to Craig. Suzi's card is shown to Craig. Timothy's card is shown to Clifton. Timothy's card is shown to Suzi. Suzi's card is shown to Suzi. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] (Agentb knows that (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] 0 | Clifton can now know that someone picked a red card. | explicit | 0 | 4 | entailment | [
"Craig",
"Clifton",
"Timothy",
"Suzi"
] | 65,236 | explicit-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 Kenneth knows whether or not everyone's forehead is muddy. It is publicly announced that Kenneth knows whether Walter's forehead is muddy. It is publicly announced that Kenneth's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! ~(1) ] Agentb knows whether (Agenta knows that (1&2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! ~(1) ] 0 | Walter can now know whether Kenneth can know that everyone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Kenneth",
"Walter"
] | 34,686 | forehead_mirror-1 | 1 | 0.99958 | 0.00042 |
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 Nelson 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)) ] (Agenta 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) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Melissa can now know whether or not everyone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Melissa",
"Nelson",
"Rickey",
"John"
] | 228 | forehead_mirror-1 | 1 | 0.999432 | 0.000568 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John's forehead is muddy. It is publicly announced that Jamie does not know whether Jamie's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! ~(Agentd knows whether 4) ] (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) ] [ ! 1 ] [ ! ~(Agentd knows whether 4) ] 0 | Shirley can now know whether someone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"John",
"Jack",
"Shirley",
"Jamie"
] | 29,889 | forehead-1 | 1 | 0.99978 | 0.00022 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lillian's card is shown to Beatrice. Patsy's card is shown to Patsy. Beatrice's card is shown to Lillian. It is publicly announced that someone picked a red card. It is publicly announced that Lillian does not know whether Lillian picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] (Agenta knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] 0 | Beatrice can now know that Lillian picked a red card. | explicit | 0 | 3 | not_entailment | [
"Beatrice",
"Patsy",
"Lillian"
] | 56,825 | explicit-0 | 0 | 0.995457 | 0.004543 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jacob 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 (~(1|2|3))) ] Agenta knows whether (Agentc knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0 | Andrea can now know whether Jacob can know whether Jacob is thirsty. | internal | 1 | 3 | entailment | [
"Andrea",
"Mario",
"Jacob"
] | 48,240 | internal-1 | 1 | 0.998625 | 0.001375 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Claudia does not know whether Claudia's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] Agentc knows whether (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) ] [ ! ~(Agentb knows whether 2) ] 0 | Leonard can now know whether David can know whether or not nobody's forehead is muddy. | forehead | 1 | 3 | entailment | [
"David",
"Claudia",
"Leonard"
] | 51,563 | forehead-1 | 1 | 0.999715 | 0.000285 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Leo does not know whether Marie is thirsty. It is publicly announced that Leo does not know whether Katherine is thirsty. It is publicly announced that Marie is thirsty. It is publicly announced that Katherine does not know whether Leo is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] [ ! 1 ] [ ! ~(Agentb knows whether 3) ] Agentc knows 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) ] [ ! ~(Agentc knows whether 2) ] [ ! 1 ] [ ! ~(Agentb knows whether 3) ] 0 | Leo can now know whether Katherine can know that Katherine is thirsty. | internal | 1 | 3 | not_entailment | [
"Marie",
"Katherine",
"Leo"
] | 40,096 | internal-0 | 1 | 0.94416 | 1.94416 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Benito's card is shown to Anita. Joshua's card is shown to John. Joshua's card is shown to Joshua. Anita's card is shown to Benito. John's card is shown to Benito. It is publicly announced that someone picked a red card. It is publicly announced that Joshua does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agentd knows that (Agentc knows that (1|2|3|4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Benito can now know that Joshua can know that someone picked a red card. | explicit | 1 | 4 | entailment | [
"Anita",
"John",
"Joshua",
"Benito"
] | 49,612 | explicit-1 | 1 | 0.999771 | 0.000229 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Randall knows whether Randall is thirsty. It is publicly announced that Barbara 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))) ] (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) ] [ ! (Agentc knows whether 3) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Clare can now know that everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Barbara",
"Clare",
"Randall"
] | 5,700 | internal-0 | 0 | 0.998688 | 0.001312 |
There are four 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 Mary does not know whether Elwood is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 1) ] (Agentc knows that (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 1) ] 0 | Colin can now know that someone is thirsty. | internal | 0 | 4 | entailment | [
"Elwood",
"Mary",
"Colin",
"Harry"
] | 5,936 | internal-1 | 1 | 0.99978 | 0.00022 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Renee does not know whether Shannon is thirsty. It is publicly announced that Renee does not know whether Paul is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] Agentc knows that (Agenta knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0 | Renee can now know that Shannon can know that Shannon is thirsty. | internal | 1 | 3 | not_entailment | [
"Shannon",
"Paul",
"Renee"
] | 2,378 | internal-0 | 0 | 0.942491 | 0.057509 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Charles does not know whether Charles's forehead is muddy. It is publicly announced that Charles'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) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(1) ] Agentb knows that (Agentc 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) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(1) ] 0 | Rodney can now know that Gracie can know that nobody's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Charles",
"Rodney",
"Gracie",
"Hannah"
] | 45,680 | forehead-0 | 0 | 0.998563 | 0.001437 |
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 that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] 0 | Jefferson can now know that Carlos can know that Diane's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Jefferson",
"Carlos",
"Diane",
"Clark"
] | 14,000 | forehead_mirror-0 | 0 | 0.998654 | 0.001346 |
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 Mary. Mary's card is shown to Robert. Robert's card is shown to Shannon. It is publicly announced that someone picked a red card. It is publicly announced that Mary knows whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentb knows whether (Agentc knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Robert can now know whether Shannon can know whether or not everyone picked a red card. | explicit | 1 | 4 | entailment | [
"Mary",
"Robert",
"Shannon",
"Cynthia"
] | 43,579 | explicit-1 | 1 | 0.973051 | 0.026949 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Wendell knows whether Carlos is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (1&2) ] [ ! (Agentb knows whether 1) ] (Agentb knows that 1) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (1&2) ] [ ! (Agentb knows whether 1) ] 0 | Wendell can now know that Carlos is thirsty. | internal | 0 | 2 | entailment | [
"Carlos",
"Wendell"
] | 15,687 | internal-1 | 1 | 0.992794 | 0.007206 |
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. It is publicly announced that John'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) ] [ ! 1 ] (Agentc knows whether 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! 1 ] 0 | Noel can now know whether Noel's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"John",
"Sarah",
"Noel",
"Michelle"
] | 7,005 | forehead-0 | 0 | 0.966809 | 0.033191 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sheila's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] Agenta knows whether (Agentc knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] 0 | James can now know whether Sheila can know whether Martin's forehead is muddy. | forehead | 1 | 4 | entailment | [
"James",
"Martin",
"Sheila",
"Shari"
] | 38,233 | forehead-1 | 1 | 0.999352 | 0.000648 |
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 Katharine 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 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Catherine can now know that Terry's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Luis",
"Katharine",
"Terry",
"Catherine"
] | 28,151 | forehead_mirror-0 | 0 | 0.998439 | 0.001561 |
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 Robert 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) ] [ ! (Agenta knows whether (~(1|2|3))) ] Agentc knows that (Agenta 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) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Michael can now know that Robert can know whether someone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Robert",
"Alfred",
"Michael"
] | 33,328 | forehead_mirror-1 | 1 | 0.999768 | 0.000232 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Raymond's card is shown to Donald. Raymond's card is shown to Raymond. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] (Agenta knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0 | Donald can now know whether Alexis picked a red card. | explicit | 0 | 3 | not_entailment | [
"Donald",
"Raymond",
"Alexis"
] | 51,945 | explicit-0 | 0 | 0.894273 | 0.105727 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeffrey's card is shown to John. John's card is shown to Jeffrey. John's card is shown to Doris. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows that (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Doris can now know that Jeffrey can know that nobody picked a red card. | explicit | 1 | 3 | not_entailment | [
"John",
"Jeffrey",
"Doris"
] | 4,742 | explicit-0 | 0 | 0.998433 | 0.001567 |
There are three 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 Margaret's forehead is muddy. It is publicly announced that Leonora knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agenta knows whether (1&2&3)) ] (Agenta knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agenta knows whether (1&2&3)) ] 0 | Leonora can now know that Margaret's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Leonora",
"Robert",
"Margaret"
] | 61,778 | forehead-0 | 1 | 0.547174 | 1.547174 |
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 Arlene knows whether someone's forehead is muddy. It is publicly announced that Bryan knows whether Bryan's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that Arlene knows whether someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether 1) ] [ ! (~(1&2)) ] [ ! (Agentb knows whether (1|2)) ] (Agenta knows whether (~(1|2))) | 4 | 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) ] [ ! (~(1&2)) ] [ ! (Agentb knows whether (1|2)) ] 0 | Bryan can now know whether or not nobody's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Bryan",
"Arlene"
] | 28,163 | forehead_mirror-1 | 1 | 0.999757 | 0.000243 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Danny's card is shown to Danny. Janice's card is shown to Danny. Danny's card is shown to Carolyn. Carolyn's card is shown to Carolyn. Danny's card is shown to Mario. Danny's card is shown to Janice. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,2 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows whether 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,2 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] 0 | Mario can now know whether Danny can know whether Mario picked a red card. | explicit | 1 | 4 | entailment | [
"Danny",
"Carolyn",
"Mario",
"Janice"
] | 9,899 | explicit-1 | 1 | 0.997721 | 0.002279 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Teresa'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) ] (Agentc knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0 | Teresa can now know whether Debra's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Debra",
"Hwa",
"Teresa"
] | 63,771 | forehead-1 | 1 | 0.999527 | 0.000473 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cecilia does not know whether or not everyone is thirsty. It is publicly announced that Cecilia does not know whether or not everyone is thirsty. It is publicly announced that Cecilia does not know whether Marty is thirsty. It is publicly announced that Cecilia 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))) ] (Agentb knows that 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 | Cecilia can now know that Cecilia is thirsty. | internal | 0 | 2 | entailment | [
"Marty",
"Cecilia"
] | 28,033 | internal-1 | 1 | 0.992062 | 0.007938 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cecil does not know whether or not everyone is thirsty. It is publicly announced that Robert does not know whether Nancy is thirsty. It is publicly announced that Nancy 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)) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] (Agentb knows that 2) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | Nancy can now know that Nancy is thirsty. | internal | 0 | 3 | not_entailment | [
"Cecil",
"Nancy",
"Robert"
] | 51,078 | internal-0 | 1 | 0.928805 | 1.928805 |