premise
stringlengths 104
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| smcdel_problem
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stringlengths 37
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int64 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 Frances does not know whether Manuel is thirsty. It is publicly announced that Manuel does not know whether Lila 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) ] [ ! ~(Agentd knows whether 3) ] Agenta knows whether (Agentb knows that (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 3) ] 0 | Kathryn can now know whether Frances can know that nobody is thirsty. | internal | 1 | 4 | entailment | [
"Kathryn",
"Frances",
"Lila",
"Manuel"
] | 5,323 | internal-1 | 1 | 0.999447 | 0.000553 |
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 Judy. Judy's card is shown to Louis. Judy's card is shown to James. Louis's card is shown to James. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] (Agentc knows whether 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | James can now know whether Louis picked a red card. | explicit | 0 | 3 | entailment | [
"Judy",
"Louis",
"James"
] | 21,935 | explicit-1 | 0 | 0.602414 | 1.602414 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Angelo's card is shown to Joe. Joe's card is shown to Timothy. Angelo's card is shown to Timothy. Joe's card is shown to Carlos. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentb knows that 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3|4) ] 0 | Timothy can now know that Carlos picked a red card. | explicit | 0 | 4 | not_entailment | [
"Joe",
"Timothy",
"Angelo",
"Carlos"
] | 17,663 | explicit-0 | 0 | 0.998462 | 0.001538 |
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 Ethel's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] (Agentd 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) ] [ ! ~(1) ] 0 | Lucille can now know that Anne's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Ethel",
"Anne",
"Alan",
"Lucille"
] | 55,495 | forehead_mirror-0 | 0 | 0.996559 | 0.003441 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Paul 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)) ] (Agenta knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Paul can now know that everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Paul",
"Gertrude",
"Ruth",
"Sally"
] | 50,815 | forehead-0 | 0 | 0.993886 | 0.006114 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Angela's card is shown to Angela. Kennith's card is shown to Kennith. Louis's card is shown to Kennith. Edward's card is shown to Edward. It is publicly announced that someone picked a red card. It is publicly announced that Kennith does not know whether Angela picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agentb knows that (Agentc knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0 | Kennith can now know that Louis can know that nobody picked a red card. | explicit | 1 | 4 | not_entailment | [
"Angela",
"Kennith",
"Louis",
"Edward"
] | 42,775 | explicit-0 | 0 | 0.998542 | 0.001458 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael does not know whether Bertha is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agentc knows that (Agentb knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0 | Bertha can now know that Michael can know that Bertha is thirsty. | internal | 1 | 3 | not_entailment | [
"Alayna",
"Michael",
"Bertha"
] | 64,281 | internal-0 | 0 | 0.997354 | 0.002646 |
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 Sadie does not know whether Sharon is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] (Agentc knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0 | Sharon can now know that Sharon is thirsty. | internal | 0 | 3 | not_entailment | [
"Timothy",
"Sadie",
"Sharon"
] | 4,033 | internal-0 | 0 | 0.992503 | 0.007497 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Viola's forehead is muddy. It is publicly announced that Rhonda's forehead is not muddy. It is publicly announced that Viola knows whether Rhonda's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! ~(1) ] [ ! (Agentb knows whether 1) ] (Agenta 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) ] [ ! 2 ] [ ! ~(1) ] [ ! (Agentb knows whether 1) ] 0 | Rhonda can now know that someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Rhonda",
"Viola",
"Angela"
] | 61,161 | forehead-1 | 1 | 0.999775 | 0.000225 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Michele 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 (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) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Thomas can now know that Michele can know whether Michele's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Emily",
"Michele",
"Thomas"
] | 9,748 | forehead-0 | 0 | 0.594959 | 0.405041 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Joe knows whether or not everyone's forehead is muddy. It is publicly announced that Joe does not know whether Joe'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 1) ] Agentc knows that (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) ] [ ! (Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 1) ] 0 | Johnna can now know that Joe can know that Johnna's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Joe",
"Estela",
"Johnna"
] | 20,803 | forehead-0 | 0 | 0.797879 | 0.202121 |
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 (Agentb knows that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] 0 | Sammie can now know that Daniel can know that Ernest's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Sammie",
"Daniel",
"Ernest",
"Michael"
] | 38,477 | forehead-0 | 0 | 0.998632 | 0.001368 |
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 Margaret's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] (Agenta knows 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) ] [ ! ~(Agentb knows whether 2) ] 0 | Nora can now know that everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Nora",
"Margaret",
"Thomas",
"Sarah"
] | 44,845 | forehead-0 | 0 | 0.998621 | 0.001379 |
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 Travis knows whether Toi'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 4) ] Agentc knows that (Agentd knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 4) ] 0 | Belinda can now know that Toi can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Dan",
"Travis",
"Belinda",
"Toi"
] | 42,244 | forehead_mirror-0 | 0 | 0.998299 | 0.001701 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Robert. 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 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 VALID? [ ! (1|2|3) ] 0 | Robert can now know that Louis picked a red card. | explicit | 0 | 3 | not_entailment | [
"Robert",
"Johnny",
"Louis"
] | 21,011 | explicit-0 | 0 | 0.998625 | 0.001375 |
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) ] Agentc knows whether (Agenta knows that 2) | 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 | Gary can now know whether Mike can know that Daniel's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Mike",
"Daniel",
"Gary",
"Anne"
] | 53,205 | forehead_mirror-1 | 1 | 0.999686 | 0.000314 |
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 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))) ] Agentb knows that (Agenta 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) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Frank can now know that Thomas can know whether Thomas's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Thomas",
"Frank",
"Zachary"
] | 6,035 | forehead_mirror-1 | 1 | 0.99947 | 0.00053 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Arlene's card is shown to Bryan. It is publicly announced that someone picked a red card. It is publicly announced that John picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 VALID? [ ! (1|2|3|4) ] [ ! 1 ] (Agenta knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 VALID? [ ! (1|2|3|4) ] [ ! 1 ] 0 | John can now know whether Frank picked a red card. | explicit | 0 | 4 | not_entailment | [
"John",
"Arlene",
"Frank",
"Bryan"
] | 2,858 | explicit-0 | 0 | 0.887877 | 0.112123 |
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 whether (Agentd knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0 | Candice can now know whether Marvin can know whether Candice's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Cody",
"Candice",
"Roy",
"Marvin"
] | 20,358 | forehead_mirror-1 | 1 | 0.999696 | 0.000304 |
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 Mary knows whether or not everyone's forehead is muddy. It is publicly announced that Mary knows whether Wendy's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (Agentb knows whether 1) ] [ ! (1|2|3) ] Agenta knows whether (Agentc knows that 3) | 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) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (Agentb knows whether 1) ] [ ! (1|2|3) ] 0 | Wendy can now know whether Todd can know that Todd's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Wendy",
"Mary",
"Todd"
] | 53,023 | forehead_mirror-1 | 1 | 0.999579 | 0.000421 |
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 Charles's forehead is not muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] Agenta knows that (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) ] [ ! ~(1) ] 0 | Charles can now know that John can know that Charles's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Charles",
"John",
"Bill"
] | 66,201 | forehead_mirror-0 | 0 | 0.98024 | 0.01976 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Donna does not know whether Karen is thirsty. It is publicly announced that Karen does not know whether Carrie is thirsty. It is publicly announced that Donna does not know whether Karen is thirsty. It is publicly announced that Donna does not know whether Katrina 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) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 1) ] Agentc knows that (Agenta knows whether 4) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 1) ] 0 | Carrie can now know that Katrina can know whether Donna is thirsty. | internal | 1 | 4 | not_entailment | [
"Katrina",
"Karen",
"Carrie",
"Donna"
] | 42,692 | internal-0 | 0 | 0.98204 | 0.01796 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alex knows whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] (Agentb knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0 | Alex can now know that everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"Brenda",
"Alex",
"Maynard",
"Barbara"
] | 53,524 | internal-0 | 0 | 0.998084 | 0.001916 |
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 Rose knows whether Rose's forehead is muddy. It is publicly announced that John knows whether Joyce'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) ] (Agentc knows whether 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 | Melanie can now know whether John's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Joyce",
"Rose",
"Melanie",
"John"
] | 47,259 | forehead_mirror-1 | 1 | 0.999736 | 0.000264 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Chris's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! 2 ] Agenta knows whether (Agentb knows whether (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! 2 ] 0 | Diane can now know whether Chris can know whether or not everyone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Diane",
"Chris",
"Sheena"
] | 26,676 | forehead-1 | 1 | 0.606619 | 0.393381 |
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 Pablo 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) ] [ ! (Agenta knows whether (1|2|3|4)) ] (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) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0 | Tracy can now know that Pablo's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Pablo",
"Reva",
"Tracy",
"Elvis"
] | 22,816 | forehead_mirror-0 | 0 | 0.998438 | 0.001562 |
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 Derrick knows whether Larry's forehead is muddy. It is publicly announced that Larry knows whether Larry's forehead is muddy. It is publicly announced that Derrick knows whether Derrick's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agentb knows whether 2) ] [ ! (Agenta knows whether 1) ] (Agenta knows that (~(1|2))) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agentb knows whether 2) ] [ ! (Agenta knows whether 1) ] 0 | Derrick can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 2 | not_entailment | [
"Derrick",
"Larry"
] | 9,019 | forehead_mirror-0 | 0 | 0.998358 | 0.001642 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tabitha knows whether Tabitha 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 (Agentc knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] 0 | Jamie can now know whether Tabitha can know whether Francisco is thirsty. | internal | 1 | 3 | entailment | [
"Jamie",
"Francisco",
"Tabitha"
] | 54,436 | internal-1 | 1 | 0.998854 | 0.001146 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christopher does not know whether or not everyone is thirsty. It is publicly announced that Christopher does not know whether Norma is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] Agentc knows that (Agentb knows whether (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 (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] 0 | Christopher can now know that Kenneth can know whether or not everyone is thirsty. | internal | 1 | 3 | not_entailment | [
"Norma",
"Kenneth",
"Christopher"
] | 61,609 | internal-0 | 1 | 0.550365 | 1.550365 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Juan knows whether Chong's forehead is muddy. It is publicly announced that Chong does not know whether or not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2)) ] Agenta knows that (Agentb knows that (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Juan can now know that Chong can know that someone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Juan",
"Chong"
] | 20,513 | forehead-1 | 1 | 0.999778 | 0.000222 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Shelia 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) ] [ ! (Agentd knows whether 2) ] Agentc knows that (Agentb knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 2) ] 0 | Ethel can now know that Scott can know whether Ethel's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Carrie",
"Scott",
"Ethel",
"Shelia"
] | 66,115 | forehead-1 | 1 | 0.996401 | 0.003599 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kurt knows whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1&2&3&4)) ] Agentc knows that (Agentb knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1&2&3&4)) ] 0 | Jeffrey can now know that Eric can know that nobody's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Edith",
"Eric",
"Jeffrey",
"Kurt"
] | 61,326 | forehead-0 | 0 | 0.998296 | 0.001704 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Michael. Don's card is shown to Leann. Michael's card is shown to Daryl. Leann's card is shown to Don. It is publicly announced that someone picked a red card. It is publicly announced that Michael does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta 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 Agentb:4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Don can now know that someone picked a red card. | explicit | 0 | 4 | entailment | [
"Michael",
"Leann",
"Daryl",
"Don"
] | 46,818 | explicit-1 | 1 | 0.999766 | 0.000234 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mary's card is shown to Mary. Margaret's card is shown to Margaret. Margaret's card is shown to Janice. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] (Agenta knows that 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] 0 | Mary can now know that Mary picked a red card. | explicit | 0 | 3 | not_entailment | [
"Mary",
"Margaret",
"Janice"
] | 59,018 | explicit-0 | 0 | 0.997903 | 0.002097 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charlotte is not thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] (Agentd knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0 | Cynthia can now know whether Richard is thirsty. | internal | 0 | 4 | not_entailment | [
"Charlotte",
"Richard",
"Joshua",
"Cynthia"
] | 60,830 | internal-0 | 0 | 0.995172 | 0.004828 |
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 Jose 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 | 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 | Jose can now know that Vanessa's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Vanessa",
"Jose",
"Timothy"
] | 11,861 | forehead-0 | 0 | 0.641148 | 0.358852 |
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 Sara'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 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 4) ] 0 | Sara can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Anita",
"William",
"Frances",
"Sara"
] | 62,040 | forehead_mirror-0 | 0 | 0.998494 | 0.001506 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Theresa knows whether or not everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] Agentb knows whether (Agenta knows whether (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] 0 | Theresa can now know whether Caroline can know whether someone is thirsty. | internal | 1 | 2 | entailment | [
"Caroline",
"Theresa"
] | 49,973 | internal-1 | 1 | 0.999774 | 0.000226 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Manuel's card is shown to Margaret. Manuel's card is shown to Manuel. Herman's card is shown to Herman. It is publicly announced that someone picked a red card. It is publicly announced that Manuel picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Manuel does not know whether Margaret picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 1) ] Agentb knows whether (Agentc knows that (1|2|3)) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 1) ] 0 | Manuel can now know whether Herman can know that someone picked a red card. | explicit | 1 | 3 | entailment | [
"Margaret",
"Manuel",
"Herman"
] | 52,885 | explicit-1 | 1 | 0.999776 | 0.000224 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Thomas's card is shown to Thomas. Michael's card is shown to Thomas. Clarence's card is shown to Thomas. Thomas's card is shown to Michael. Michael's card is shown to Michael. Clarence's card is shown to Clarence. 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:4 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows whether (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:2,3 Agentc:4 VALID? [ ! (1|2|3|4) ] 0 | Michael can now know whether Carl can know whether or not nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Carl",
"Thomas",
"Michael",
"Clarence"
] | 7,362 | explicit-1 | 1 | 0.999713 | 0.000287 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Julie does not know whether Julie's forehead is muddy. It is publicly announced that Debra 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 2) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agenta knows whether 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) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Debra can now know whether Debra's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Debra",
"Julie",
"Maria",
"Lenora"
] | 58,550 | forehead-0 | 0 | 0.738731 | 0.261269 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Vicki knows whether or not everyone's forehead is muddy. It is publicly announced that Edwin knows 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)) ] [ ! (Agenta knows whether (1&2)) ] Agentb knows whether (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)) ] [ ! (Agenta knows whether (1&2)) ] 0 | Vicki can now know whether Edwin can know whether or not nobody's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Edwin",
"Vicki"
] | 48,299 | forehead-1 | 1 | 0.999704 | 0.000296 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sheila's card is shown to Sheila. Conrad's card is shown to Sheila. Sheila's card is shown to Conrad. It is publicly announced that someone picked a red card. It is publicly announced that Conrad does not know whether Conrad picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] Agenta knows that (Agentb knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] 0 | Sheila can now know that Conrad can know whether Conrad picked a red card. | explicit | 1 | 2 | not_entailment | [
"Sheila",
"Conrad"
] | 15,463 | explicit-0 | 1 | 0.825025 | 1.825025 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brian does not know whether or not everyone is thirsty. It is publicly announced that Brian does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agenta knows that (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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Brian can now know that Scott can know that nobody is thirsty. | internal | 1 | 4 | not_entailment | [
"Brian",
"Edith",
"Scott",
"Damon"
] | 40,792 | internal-0 | 0 | 0.997723 | 0.002277 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mattie is not thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] (Agenta knows whether (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0 | Kevin can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"Kevin",
"Mattie",
"Mark",
"James"
] | 38,922 | internal-1 | 1 | 0.99974 | 0.00026 |
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 Kimberly knows whether Amanda's forehead is muddy. It is publicly announced that Amanda's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! 2 ] (Agenta knows that 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! 2 ] 0 | Kimberly can now know that Amanda's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Kimberly",
"Amanda"
] | 22,350 | forehead_mirror-1 | 1 | 0.847309 | 0.152691 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Faye's card is shown to Claire. Karen's card is shown to Claire. Laurence's card is shown to Karen. Karen's card is shown to Laurence. It is publicly announced that someone picked a red card. It is publicly announced that Claire does not know whether Claire picked a red card. It is publicly announced that Claire picked a black card. It is publicly announced that Faye does not know whether Faye picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(1) ] [ ! ~(Agentb knows whether 2) ] (Agentc knows whether (1|2|3|4)) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(1) ] [ ! ~(Agentb knows whether 2) ] 0 | Karen can now know whether someone picked a red card. | explicit | 0 | 4 | entailment | [
"Claire",
"Faye",
"Karen",
"Laurence"
] | 11,382 | explicit-1 | 1 | 0.999782 | 0.000218 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Harold 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 3) ] Agenta knows whether (Agentd knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0 | Tina can now know whether Harold can know that James is thirsty. | internal | 1 | 4 | entailment | [
"Tina",
"Charlie",
"James",
"Harold"
] | 7,404 | internal-1 | 1 | 0.990763 | 0.009237 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Patricia 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) ] [ ! ~(Agentc knows whether (1&2&3)) ] (Agenta knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Helen can now know that Georgia's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Helen",
"Georgia",
"Patricia"
] | 11,522 | forehead-1 | 1 | 0.569043 | 0.430957 |
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)) ] Agentb knows whether (Agentc knows whether (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0 | Sandra can now know whether Mary can know whether or not everyone is thirsty. | internal | 1 | 3 | entailment | [
"Troy",
"Sandra",
"Mary"
] | 26,781 | internal-1 | 1 | 0.925249 | 0.074751 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Donald does not know whether or not everyone's forehead is muddy. It is publicly announced that Donald's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! 1 ] (Agentb knows whether (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! 1 ] 0 | Richard can now know whether or not nobody's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Donald",
"Richard"
] | 25,171 | forehead-1 | 1 | 0.99973 | 0.00027 |
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 Linda knows whether Linda's forehead is muddy. It is publicly announced that Diane 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) ] [ ! (Agenta knows whether 1) ] [ ! (Agentc knows whether (1&2&3&4)) ] (Agentc knows that 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0 | Diane can now know that Diane's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Linda",
"Jose",
"Diane",
"Carlos"
] | 61,900 | forehead_mirror-0 | 0 | 0.876513 | 0.123487 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kenneth's card is shown to Morgan. Kenneth's card is shown to Kenneth. Morgan's card is shown to Leroy. Kenneth's card is shown to Leroy. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows that (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] 0 | Minda can now know whether Morgan can know that someone picked a red card. | explicit | 1 | 4 | entailment | [
"Morgan",
"Kenneth",
"Minda",
"Leroy"
] | 44,827 | explicit-1 | 1 | 0.999778 | 0.000222 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anna's card is shown to Anna. Anna's card is shown to Miguel. Chris's card is shown to Miguel. Dorothy's card is shown to Dorothy. Chris'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:1 Agentb:1,4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows that (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] 0 | Dorothy can now know that Miguel can know that nobody picked a red card. | explicit | 1 | 4 | not_entailment | [
"Anna",
"Miguel",
"Dorothy",
"Chris"
] | 3,735 | explicit-0 | 0 | 0.998438 | 0.001562 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Robert does not know whether Robert's forehead is muddy. It is publicly announced that John knows whether 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) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agentc knows whether 3) ] Agenta knows that (Agentb knows whether 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 4) ] [ ! (Agentc knows whether 3) ] 0 | Vivian can now know that David can know whether Vivian's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Vivian",
"David",
"John",
"Robert"
] | 126 | forehead-1 | 1 | 0.999585 | 0.000415 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bobby knows whether or not nobody is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agentb knows that (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 (~(1|2|3))) ] 0 | Dollie can now know that someone is thirsty. | internal | 0 | 3 | entailment | [
"Bobby",
"Dollie",
"Delmar"
] | 36,532 | internal-1 | 1 | 0.999762 | 0.000238 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Carlos does not know whether Carlos's forehead is muddy. It is publicly announced that Richard does not know 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 1) ] [ ! ~(Agentc knows whether 3) ] Agentc knows that (Agentb 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) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentc knows whether 3) ] 0 | Richard can now know that Wilbert can know whether Carlos's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Carlos",
"Wilbert",
"Richard"
] | 6,966 | forehead-1 | 1 | 0.999549 | 0.000451 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elizabeth's card is shown to Mary. Elizabeth's card is shown to Genaro. Rodney's card is shown to Elizabeth. Genaro's card is shown to Elizabeth. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:2,3 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:2,3 VALID? [ ! (1|2|3|4) ] 0 | Genaro can now know whether Elizabeth picked a red card. | explicit | 0 | 4 | not_entailment | [
"Mary",
"Rodney",
"Genaro",
"Elizabeth"
] | 14,470 | explicit-0 | 1 | 0.932098 | 1.932098 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Alicia knows whether Guadalupe's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] (Agenta knows whether 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0 | Alicia can now know whether Alicia's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Alicia",
"Guadalupe"
] | 33,591 | forehead-0 | 0 | 0.992324 | 0.007676 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tricia's card is shown to Charmaine. Charmaine's card is shown to Charmaine. Charmaine's card is shown to Zachary. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows whether 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2|3|4) ] 0 | Tricia can now know whether Charmaine can know whether Zachary picked a red card. | explicit | 1 | 4 | entailment | [
"Tricia",
"Charmaine",
"Zachary",
"Mary"
] | 39,884 | explicit-1 | 1 | 0.998534 | 0.001466 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Julian does not know whether or not everyone is thirsty. It is publicly announced that Glen does not know whether Charles 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) ] Agenta knows that (Agentb knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] 0 | Julian can now know that Charles can know that nobody is thirsty. | internal | 1 | 3 | not_entailment | [
"Julian",
"Charles",
"Glen"
] | 7,136 | internal-0 | 0 | 0.998005 | 0.001995 |
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 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) ] [ ! (Agentc knows whether 3) ] Agentc knows that (Agenta 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) ] [ ! (Agentc knows whether 3) ] 0 | Melissa can now know that Troy can know whether Melissa's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Troy",
"Edward",
"Melissa"
] | 20,008 | forehead-1 | 1 | 0.999533 | 0.000467 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Beau's card is shown to Donna. Laura's card is shown to Donna. Beau's card is shown to Beau. Natalie's card is shown to Beau. Laura's card is shown to Beau. Beau's card is shown to Natalie. Beau's card is shown to Laura. It is publicly announced that someone picked a red card. It is publicly announced that Natalie knows whether Beau picked a red card. It is publicly announced that Laura does not know whether Donna picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,3,4 Agentc:2 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 2) ] [ ! ~(Agentd knows whether 1) ] Agentd knows whether (Agentc knows whether (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,3,4 Agentc:2 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 2) ] [ ! ~(Agentd knows whether 1) ] 0 | Laura can now know whether Natalie can know whether someone picked a red card. | explicit | 1 | 4 | entailment | [
"Donna",
"Beau",
"Natalie",
"Laura"
] | 39,787 | explicit-1 | 1 | 0.999772 | 0.000228 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joseph's card is shown to George. George's card is shown to George. Joseph's card is shown to Andrew. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2|3) ] (Agenta knows that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2|3) ] 0 | Joseph can now know that George picked a red card. | explicit | 0 | 3 | not_entailment | [
"Joseph",
"George",
"Andrew"
] | 14,509 | explicit-0 | 0 | 0.998235 | 0.001765 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Anton'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 (Agentc knows whether (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! 1 ] 0 | Anton can now know whether Gail can know whether or not nobody's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Anton",
"David",
"Gail"
] | 37,000 | forehead-1 | 1 | 0.999718 | 0.000282 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Betty knows 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)) ] (Agentb knows whether 2) | 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 | Tamika can now know whether Tamika is thirsty. | internal | 0 | 3 | entailment | [
"Mark",
"Tamika",
"Betty"
] | 64,096 | internal-1 | 1 | 0.996563 | 0.003437 |
There are two 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 Fernando does not know whether or not everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] (Agenta knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0 | Fernando can now know whether Jerry is thirsty. | internal | 0 | 2 | not_entailment | [
"Fernando",
"Jerry"
] | 26,360 | internal-0 | 0 | 0.500451 | 0.499549 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Michael's forehead is not muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(3) ] (Agentb knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(3) ] 0 | Robert can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Bobbi",
"Robert",
"Michael"
] | 51,359 | forehead_mirror-0 | 0 | 0.998375 | 0.001625 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Renee's card is shown to Renee. Renee's card is shown to Nicholas. Nicholas's card is shown to Nicholas. It is publicly announced that someone picked a red card. It is publicly announced that Nicholas knows whether Nicholas picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] Agentb knows that (Agenta knows that (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] 0 | Nicholas can now know that Renee can know that someone picked a red card. | explicit | 1 | 2 | entailment | [
"Renee",
"Nicholas"
] | 5,302 | explicit-1 | 1 | 0.999774 | 0.000226 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] (Agentd knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0 | Earl can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Arthur",
"Nancy",
"Alan",
"Earl"
] | 26,876 | forehead_mirror-0 | 0 | 0.993793 | 0.006207 |
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 Shannon's forehead is muddy. It is publicly announced that Shannon knows whether James's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agentc knows whether 1) ] [ ! (~(1&2&3)) ] Agentb knows whether (Agenta knows that (~(1|2|3))) | 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 ] [ ! (Agentc knows whether 1) ] [ ! (~(1&2&3)) ] 0 | Douglas can now know whether James can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"James",
"Douglas",
"Shannon"
] | 40,544 | forehead_mirror-1 | 1 | 0.999685 | 0.000315 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ernest's card is shown to William. William's card is shown to Ernest. It is publicly announced that someone picked a red card. It is publicly announced that Ernest does not know whether or not everyone picked a red card. It is publicly announced that Ernest does not know whether Ernest picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 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 2) ] 0 | Ernest can now know that nobody picked a red card. | explicit | 0 | 2 | not_entailment | [
"William",
"Ernest"
] | 55,069 | explicit-0 | 0 | 0.998177 | 0.001823 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charles does not know whether or not everyone is thirsty. It is publicly announced that Charles does not know whether or not everyone is thirsty. It is publicly announced that Charles knows whether or not nobody is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (1|2) ] Agentb knows whether (Agenta knows whether 1) | 4 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (1|2) ] 0 | Carolyn can now know whether Charles can know whether Charles is thirsty. | internal | 1 | 2 | entailment | [
"Charles",
"Carolyn"
] | 48,806 | internal-1 | 1 | 0.998632 | 0.001368 |
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 Linda's forehead is not muddy. It is publicly announced that Amy knows whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agenta knows that (Agentb knows that 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Amy can now know that Letha can know that Deloris's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Amy",
"Letha",
"Linda",
"Deloris"
] | 60,143 | forehead_mirror-0 | 0 | 0.906612 | 0.093388 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Berniece 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)) ] Agentb knows that (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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Todd can now know that Patricia can know whether Willie's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Berniece",
"Todd",
"Willie",
"Patricia"
] | 43,114 | forehead-1 | 1 | 0.999508 | 0.000492 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Latonya knows whether 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) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! (1&2&3&4) ] (Agenta knows whether (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! (1&2&3&4) ] 0 | Latonya can now know whether someone is thirsty. | internal | 0 | 4 | entailment | [
"Latonya",
"Charles",
"Michael",
"Louis"
] | 31,460 | internal-1 | 1 | 0.999781 | 0.000219 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Catherine 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)) ] (Agenta knows that (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Kenneth can now know that everyone's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Kenneth",
"Catherine"
] | 29,346 | forehead-0 | 0 | 0.993487 | 0.006513 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anthony's card is shown to Anthony. Amanda's card is shown to Amanda. Robyn's card is shown to Robyn. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows that (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Amanda can now know whether Anthony can know that nobody picked a red card. | explicit | 1 | 3 | entailment | [
"Anthony",
"Amanda",
"Robyn"
] | 27,752 | explicit-1 | 1 | 0.999552 | 0.000448 |
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 Dulce knows whether Ruby's forehead is muddy. It is publicly announced that Dulce'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 ] (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) ] [ ! (Agentb knows whether 3) ] [ ! 2 ] 0 | Ruby can now know whether or not everyone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Daniel",
"Dulce",
"Ruby",
"Michael"
] | 49,515 | forehead_mirror-1 | 1 | 0.999616 | 0.000384 |
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 Albert knows whether Yvonne's forehead is muddy. It is publicly announced that Albert 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) ] [ ! (Agentd knows whether 3) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] (Agentb knows whether 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 3) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0 | Kelly can now know whether Yvonne's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Joseph",
"Kelly",
"Yvonne",
"Albert"
] | 33,684 | forehead_mirror-1 | 1 | 0.999749 | 0.000251 |
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 Raymond knows whether Raymond'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) ] [ ! (Agenta knows whether 1) ] [ ! (1&2&3&4) ] Agenta knows that (Agentc knows whether 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! (1&2&3&4) ] 0 | Raymond can now know that Jose can know whether John's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Raymond",
"John",
"Jose",
"Winifred"
] | 26,271 | forehead_mirror-1 | 1 | 0.999717 | 0.000283 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Aida is not thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] (Agentc knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0 | Belinda can now know that Belinda is thirsty. | internal | 0 | 4 | not_entailment | [
"David",
"Aida",
"Belinda",
"Carolyn"
] | 36,771 | internal-0 | 0 | 0.994125 | 0.005875 |
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 Grace does not know whether Scott 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 2) ] 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) ] [ ! (~(1&2&3)) ] [ ! ~(Agenta knows whether 2) ] 0 | Erica can now know that Grace can know that everyone is thirsty. | internal | 1 | 3 | not_entailment | [
"Grace",
"Scott",
"Erica"
] | 22,898 | internal-0 | 0 | 0.998449 | 0.001551 |
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 Daniel 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 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)) ] [ ! (Agentb knows whether (1&2&3)) ] 0 | Daniel can now know whether someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Randy",
"Daniel",
"Vernon"
] | 36,657 | forehead-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 Christopher knows whether or not nobody is thirsty. It is publicly announced that Christopher does not know whether Mark is thirsty. It is publicly announced that Tina does not know whether or not everyone is thirsty. It is publicly announced that Christopher does not know whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agenta knows that (Agentc knows that 3) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Mark can now know that Tina can know that Tina is thirsty. | internal | 1 | 3 | entailment | [
"Mark",
"Christopher",
"Tina"
] | 51,240 | internal-1 | 1 | 0.96743 | 0.03257 |
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 Catherine knows whether Adrian'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) ] Agenta knows whether (Agentc knows whether (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] 0 | Catherine can now know whether Shelley can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Catherine",
"Adrian",
"Shelley"
] | 47,456 | forehead_mirror-1 | 1 | 0.999526 | 0.000474 |
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 Augustine knows whether Augustine's forehead is muddy. It is publicly announced that Steve knows whether Eva's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] [ ! (Agentc knows whether 1) ] (Agenta knows whether 3) | 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) ] [ ! (Agentc knows whether 1) ] 0 | Eva can now know whether Steve's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Eva",
"Augustine",
"Steve",
"Casandra"
] | 42,828 | forehead_mirror-1 | 1 | 0.999736 | 0.000264 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elizabeth's card is shown to Virginia. Mary's card is shown to Virginia. Virginia's card is shown to Elizabeth. Virginia's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Elizabeth does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agentc knows that (Agentb knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Elizabeth can now know that Virginia can know whether Mary picked a red card. | explicit | 1 | 4 | not_entailment | [
"Soon",
"Virginia",
"Elizabeth",
"Mary"
] | 37,660 | explicit-0 | 1 | 0.73086 | 1.73086 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eugene's card is shown to Eugene. Eugene's card is shown to Daniel. Warren's card is shown to Daniel. Warren's card is shown to Warren. Daniel's card is shown to Dorothy. Dorothy's card is shown to Dorothy. It is publicly announced that someone picked a red card. It is publicly announced that Dorothy does not know whether Warren picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:3 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] Agentd knows that (Agenta knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:3 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0 | Dorothy can now know that Eugene can know that Dorothy picked a red card. | explicit | 1 | 4 | not_entailment | [
"Eugene",
"Daniel",
"Warren",
"Dorothy"
] | 61,107 | explicit-0 | 0 | 0.993386 | 0.006614 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Susan's card is shown to Susan. Susan's card is shown to Alice. Alice's card is shown to Tara. Tara's card is shown to Tara. Susan's card is shown to Cynthia. Cynthia's card is shown to Cynthia. It is publicly announced that someone picked a red card. It is publicly announced that Susan does not know whether or not everyone picked a red card. It is publicly announced that Susan picked a red card. It is publicly announced that Susan does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2,3 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! 1 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agenta knows whether (Agentd knows whether 2) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2,3 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! 1 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Susan can now know whether Cynthia can know whether Alice picked a red card. | explicit | 1 | 4 | entailment | [
"Susan",
"Alice",
"Tara",
"Cynthia"
] | 3,069 | explicit-1 | 1 | 0.998076 | 0.001924 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Corrine 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 that (Agentc knows whether 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 | Gary can now know that Stacey can know whether Gary is thirsty. | internal | 1 | 3 | not_entailment | [
"Gary",
"Corrine",
"Stacey"
] | 20,132 | internal-0 | 0 | 0.991936 | 0.008064 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Matthew does not know whether Randy is thirsty. It is publicly announced that Matthew knows whether Matthew is thirsty. It is publicly announced that Randy does not know whether Matthew is thirsty. It is publicly announced that Bridgett does not know whether Matthew is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether 2) ] Agenta knows whether (Agentc knows that 2) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether 2) ] 0 | Randy can now know whether Bridgett can know that Matthew is thirsty. | internal | 1 | 3 | entailment | [
"Randy",
"Matthew",
"Bridgett"
] | 45,953 | internal-1 | 1 | 0.988495 | 0.011505 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sonya does not know whether Sonya's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] (Agenta knows 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) ] [ ! ~(Agentc knows whether 3) ] 0 | Diana can now know that everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Diana",
"Joan",
"Sonya",
"Scott"
] | 2,672 | forehead-0 | 0 | 0.998567 | 0.001433 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentc knows 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) ] [ ! (1|2|3|4) ] 0 | Johnny can now know that Bradley can know that Johnny's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Fred",
"Bradley",
"Johnny",
"Alfonso"
] | 2,202 | forehead_mirror-0 | 0 | 0.998103 | 0.001897 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Julie does not know whether or not everyone's forehead is muddy. It is publicly announced that Julie'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 (Agenta 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 | Tamara can now know that Margaret can know whether someone's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Margaret",
"Tamara",
"Julie",
"James"
] | 36,689 | forehead-1 | 1 | 0.999777 | 0.000223 |
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 Bertha knows whether Jamie'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 4) ] Agentc knows that (Agenta knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 4) ] 0 | Earline can now know that Jeffrey can know whether Earline's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Jeffrey",
"Bertha",
"Earline",
"Jamie"
] | 6,794 | forehead_mirror-1 | 1 | 0.999736 | 0.000264 |
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 Michelle knows whether Michelle'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) ] (Agenta knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] 0 | Samuel can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Samuel",
"Michelle",
"Kenneth",
"Isabel"
] | 2,954 | forehead_mirror-0 | 0 | 0.998581 | 0.001419 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lasonya's card is shown to Lasonya. Lasonya's card is shown to Stuart. Stuart's card is shown to Stuart. Lasonya's card is shown to Darlene. Stuart's card is shown to Darlene. Darlene's card is shown to Darlene. 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:1 Agentb:1,2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] (Agenta knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0 | Lasonya can now know that nobody picked a red card. | explicit | 0 | 3 | not_entailment | [
"Lasonya",
"Stuart",
"Darlene"
] | 33,688 | explicit-0 | 0 | 0.998288 | 0.001712 |
There are four 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 1,2,3,4 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) ] Agenta 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 1) ] 0 | Michael can now know that Liliana can know that Michael's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Michael",
"Liliana",
"Louis",
"Ella"
] | 52,392 | forehead-0 | 0 | 0.993685 | 0.006315 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kim does not know whether Madison 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) ] (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) ] [ ! ~(Agenta knows whether 4) ] 0 | Angela can now know whether or not nobody is thirsty. | internal | 0 | 4 | entailment | [
"Kim",
"Gerard",
"Angela",
"Madison"
] | 37,573 | internal-1 | 1 | 0.999717 | 0.000283 |