premise
stringlengths 104
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| smcdel_problem
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int64 0
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stringlengths 37
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Savannah's card is shown to Savannah. William's card is shown to Marvin. It is publicly announced that someone picked a red card. It is publicly announced that Savannah picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! 2 ] (Agentb knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! 2 ] 0 | Savannah can now know whether Marvin picked a red card. | explicit | 0 | 3 | not_entailment | [
"William",
"Savannah",
"Marvin"
] | 62,359 | explicit-0 | 0 | 0.98375 | 0.01625 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Karen knows whether Karen 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) ] [ ! (Agenta knows whether 1) ] (Agenta knows whether (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] 0 | Karen can now know whether or not everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"Karen",
"John",
"Joe",
"Nancy"
] | 9,086 | internal-0 | 0 | 0.940337 | 0.059663 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gregory does not know whether Elena 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 2) ] (Agenta knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] 0 | Gregory can now know whether Rose is thirsty. | internal | 0 | 4 | not_entailment | [
"Gregory",
"Elena",
"Rose",
"Thomas"
] | 38,431 | internal-0 | 0 | 0.998129 | 0.001871 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Beverly's card is shown to Beverly. Rebecca's card is shown to Beverly. Rebecca's card is shown to Esther. Mary's card is shown to Esther. Rebecca's card is shown to Rebecca. Esther's card is shown to Mary. Mary's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Rebecca does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:3,4 Agentc:3 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agentd knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:3,4 Agentc:3 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Mary can now know whether Mary picked a red card. | explicit | 0 | 4 | entailment | [
"Beverly",
"Esther",
"Rebecca",
"Mary"
] | 1,984 | explicit-1 | 1 | 0.765965 | 0.234035 |
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 Larry'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) ] [ ! ~(2) ] Agentc knows that (Agentb 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) ] [ ! ~(2) ] 0 | Roger can now know that Larry can know that Roger's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Dennis",
"Larry",
"Roger"
] | 56,923 | forehead_mirror-0 | 0 | 0.998017 | 0.001983 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mark does not know whether or not everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (1|2|3) ] Agenta knows whether (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) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (1|2|3) ] 0 | Monica can now know whether Mark can know that someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Monica",
"Deana",
"Mark"
] | 46,917 | forehead-1 | 1 | 0.999461 | 0.000539 |
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 Ray knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] (Agenta knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0 | Gregory can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Gregory",
"Ray",
"Thomas",
"Kathryn"
] | 23,199 | forehead_mirror-0 | 0 | 0.998737 | 0.001263 |
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 knows whether or not everyone's forehead is muddy. It is publicly announced that Dudley does not know whether Dudley's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 4) ] (Agentd 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) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 4) ] 0 | Dudley can now know whether or not nobody's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Timothy",
"Paul",
"Mattie",
"Dudley"
] | 59,675 | forehead-1 | 1 | 0.999463 | 0.000537 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Greg knows whether Greg'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) ] (Agentc knows whether (1|2|3|4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] 0 | Fern can now know whether someone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Virginia",
"Greg",
"Fern",
"Sarah"
] | 8,579 | forehead-1 | 1 | 0.99947 | 0.00053 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Louise is not thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(2) ] Agentc knows whether (Agentd knows whether (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(2) ] 0 | Joshua can now know whether Linda can know whether someone is thirsty. | internal | 1 | 4 | entailment | [
"Jessie",
"Louise",
"Joshua",
"Linda"
] | 40,701 | internal-1 | 1 | 0.999488 | 0.000512 |
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 Peter knows whether Peter's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] (Agenta knows that 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 3) ] 0 | Matthew can now know that Peter's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Matthew",
"Jane",
"Peter"
] | 48,251 | forehead_mirror-0 | 0 | 0.994976 | 0.005024 |
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 Wanda knows whether Wanda'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) ] (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) ] [ ! (Agenta knows whether 1) ] 0 | Jennifer can now know that Corrie's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Wanda",
"Eric",
"Corrie",
"Jennifer"
] | 66,220 | forehead_mirror-0 | 0 | 0.99832 | 0.00168 |
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 Patricia. Carolyn's card is shown to Patricia. James's card is shown to George. George's card is shown to George. James's card is shown to Carolyn. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows whether (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3|4) ] 0 | James can now know whether George can know whether someone picked a red card. | explicit | 1 | 4 | entailment | [
"James",
"Patricia",
"George",
"Carolyn"
] | 43,216 | explicit-1 | 1 | 0.999381 | 0.000619 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Robert knows whether Aaron'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) ] Agentd knows whether (Agentc knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 3) ] 0 | Laura can now know whether Aaron can know that everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Sharon",
"Robert",
"Aaron",
"Laura"
] | 6,234 | forehead_mirror-1 | 1 | 0.999342 | 0.000658 |
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 Duane's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] (Agentb 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) ] [ ! ~(4) ] 0 | Mohamed can now know whether someone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"John",
"Mohamed",
"Leisa",
"Duane"
] | 50,051 | forehead_mirror-1 | 1 | 0.99943 | 0.00057 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Louise's card is shown to Debra. Debra's card is shown to Scott. Scott's card is shown to Scott. Scott's card is shown to Louise. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] 0 | Scott can now know that Debra can know that Scott picked a red card. | explicit | 1 | 3 | not_entailment | [
"Debra",
"Scott",
"Louise"
] | 35,191 | explicit-0 | 0 | 0.997492 | 0.002508 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Gary knows whether Rhonda's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 3) ] Agenta knows whether (Agentd knows whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 3) ] 0 | Gary can now know whether Angel can know whether Gary's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Gary",
"Elaine",
"Rhonda",
"Angel"
] | 28,201 | forehead-1 | 1 | 0.964164 | 0.035836 |
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 Judith 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 (~(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 | Frank can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Judith",
"Frank",
"Renae"
] | 11,295 | forehead_mirror-0 | 0 | 0.998776 | 0.001224 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tina does not know whether Corey is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] Agenta knows that (Agentc knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0 | Tina can now know that Corey can know whether Beverly is thirsty. | internal | 1 | 3 | not_entailment | [
"Tina",
"Beverly",
"Corey"
] | 21,355 | internal-0 | 0 | 0.998213 | 0.001787 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christine's card is shown to Lori. Lori's card is shown to Anna. Anna's card is shown to Anna. Christine's card is shown to Anna. Anna's card is shown to Christine. Anna's card is shown to Claire. Christine's card is shown to Claire. It is publicly announced that someone picked a red card. It is publicly announced that Lori picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:2 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] Agentc knows whether (Agentb knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:2 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0 | Christine can now know whether Anna can know that nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Lori",
"Anna",
"Christine",
"Claire"
] | 44,305 | explicit-1 | 1 | 0.999304 | 0.000696 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gary's card is shown to Gary. Gary's card is shown to Debra. Debra's card is shown to Debra. It is publicly announced that someone picked a red card. It is publicly announced that Debra picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] Agentb knows whether (Agenta knows whether (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] 0 | Debra can now know whether Gary can know whether someone picked a red card. | explicit | 1 | 2 | entailment | [
"Gary",
"Debra"
] | 48,192 | explicit-1 | 1 | 0.999454 | 0.000546 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] Agentb knows that (Agenta knows that 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0 | Jewel can now know that Audra can know that Audra's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Audra",
"Jewel"
] | 67,112 | forehead-0 | 0 | 0.992144 | 0.007856 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ashley does not know whether or not everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 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)) ] [ ! (1|2|3|4) ] Agentb knows that (Agenta knows that (1&2&3&4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] 0 | Diane can now know that Michael can know that everyone's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Michael",
"Diane",
"Ashley",
"Adela"
] | 28,551 | forehead-0 | 0 | 0.945495 | 0.054505 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gertrude knows whether Gertrude is thirsty. It is publicly announced that Gertrude is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! ~(3) ] (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) ] [ ! (Agentc knows whether 3) ] [ ! ~(3) ] 0 | Michael can now know that nobody is thirsty. | internal | 0 | 3 | not_entailment | [
"Michael",
"Ian",
"Gertrude"
] | 3,759 | internal-0 | 0 | 0.999 | 0.001 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentc knows whether (Agentb knows that 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|2|3|4) ] 0 | Carl can now know whether Raymond can know that Raymond is thirsty. | internal | 1 | 4 | not_entailment | [
"John",
"Raymond",
"Carl",
"Luz"
] | 18,647 | internal-0 | 0 | 0.928056 | 0.071944 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ralph knows whether or not everyone's forehead is muddy. It is publicly announced that Ralph knows whether someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] Agentb knows that (Agenta knows that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] 0 | Ralph can now know that Jose can know that nobody's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Jose",
"Ralph"
] | 7,094 | forehead-0 | 0 | 0.999056 | 0.000944 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Genaro knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd 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) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0 | Marion can now know that nobody's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Marion",
"Juan",
"Ana",
"Genaro"
] | 37,082 | forehead-0 | 0 | 0.998808 | 0.001192 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brian's card is shown to Samuel. Kathy's card is shown to Brian. Kathy's card is shown to Kathy. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] (Agenta knows whether (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Samuel can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"Samuel",
"Brian",
"Kathy"
] | 42,439 | explicit-1 | 1 | 0.999323 | 0.000677 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. 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) ] (Agentb 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) ] [ ! (~(1&2&3&4)) ] [ ! (1|2|3|4) ] 0 | Lucia can now know that Lucia's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Richard",
"Lucia",
"George",
"Donald"
] | 33,481 | forehead_mirror-0 | 0 | 0.991506 | 0.008494 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ruth's card is shown to Ruth. Lorna's card is shown to Lorna. Ruth's card is shown to Bonnie. Lorna's card is shown to Bonnie. Bonnie's card is shown to Bonnie. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] (Agenta knows whether (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0 | Ruth can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"Ruth",
"Lorna",
"Bonnie"
] | 9,222 | explicit-1 | 1 | 0.999313 | 0.000687 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Curtis's card is shown to Christopher. Christopher's card is shown to Curtis. Trevor's card is shown to Trevor. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows whether (~(1|2|3|4))) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] 0 | Ivan can now know that Christopher can know whether or not nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Ivan",
"Christopher",
"Curtis",
"Trevor"
] | 37,157 | explicit-1 | 1 | 0.999321 | 0.000679 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ruth 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&2&3)) ] Agenta knows whether (Agentb knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Ruth can now know whether Danny can know whether Danny is thirsty. | internal | 1 | 3 | entailment | [
"Ruth",
"Danny",
"Dennis"
] | 49,942 | internal-1 | 1 | 0.983708 | 0.016292 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Barbara's card is shown to Tiffany. Elsie's card is shown to Tiffany. Elsie's card is shown to Barbara. Tiffany's card is shown to Elsie. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] Agentc knows whether (Agenta knows whether 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Elsie can now know whether Tiffany can know whether Elsie picked a red card. | explicit | 1 | 3 | entailment | [
"Tiffany",
"Barbara",
"Elsie"
] | 60,384 | explicit-1 | 1 | 0.998277 | 0.001723 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Freddie does not know whether Jeffrey is thirsty. It is publicly announced that Jeffrey does not know whether Joseph 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 2) ] [ ! ~(Agentb knows whether 3) ] (Agentb knows that 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 3) ] 0 | Jeffrey can now know that Vincent is thirsty. | internal | 0 | 4 | not_entailment | [
"Freddie",
"Jeffrey",
"Joseph",
"Vincent"
] | 15,075 | internal-0 | 0 | 0.998203 | 0.001797 |
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 Max's forehead is not muddy. It is publicly announced that Tony 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) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agentb knows whether (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) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Max can now know whether or not everyone's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Tony",
"Max",
"Adele"
] | 28,327 | forehead_mirror-1 | 1 | 0.999271 | 0.000729 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Nina does not know whether Nina's forehead is muddy. It is publicly announced that Nina's forehead is muddy. It is publicly announced that Latonia's forehead is muddy. It is publicly announced that Don'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) ] [ ! 1 ] [ ! 3 ] [ ! 2 ] (Agentc knows that 2) | 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) ] [ ! ~(Agenta knows whether 1) ] [ ! 1 ] [ ! 3 ] [ ! 2 ] 0 | Latonia can now know that Don's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Nina",
"Don",
"Latonia",
"Dana"
] | 7,018 | forehead-1 | 1 | 0.651437 | 0.348563 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paul's card is shown to Paul. George's card is shown to Paul. James's card is shown to Jeremy. Paul's card is shown to James. It is publicly announced that someone picked a red card. It is publicly announced that George does not know whether George picked a red card. It is publicly announced that Paul does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agenta knows whether (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Paul can now know whether someone picked a red card. | explicit | 0 | 4 | entailment | [
"Paul",
"George",
"Jeremy",
"James"
] | 58,981 | explicit-1 | 1 | 0.999448 | 0.000552 |
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)) ] (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) ] [ ! (~(1&2&3&4)) ] 0 | Joe can now know that nobody's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Travis",
"Joe",
"Bobby",
"Edith"
] | 59,504 | forehead-0 | 0 | 0.998943 | 0.001057 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Natalie's card is shown to Natalie. Lonny's card is shown to Natalie. Natalie's card is shown to Lonny. Lonny's card is shown to Lonny. It is publicly announced that someone picked a red card. It is publicly announced that Lonny knows whether or not nobody picked a red card. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] Agenta knows that (Agentb knows that 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Natalie can now know that Lonny can know that Lonny picked a red card. | explicit | 1 | 2 | not_entailment | [
"Natalie",
"Lonny"
] | 26,956 | explicit-0 | 0 | 0.98828 | 0.01172 |
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 Rosa knows whether Jean's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] (Agentb knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] 0 | Pam can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Ena",
"Pam",
"Rosa",
"Jean"
] | 598 | forehead_mirror-0 | 0 | 0.998992 | 0.001008 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (Agentc knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0 | Alfredo can now know that everyone's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Steven",
"Charles",
"Alfredo",
"William"
] | 16,792 | forehead_mirror-0 | 0 | 0.990707 | 0.009293 |
There are two 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 Tina is not thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! ~(2) ] (Agentb knows whether 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! ~(2) ] 0 | Tina can now know whether Sadie is thirsty. | internal | 0 | 2 | entailment | [
"Sadie",
"Tina"
] | 14,494 | internal-1 | 0 | 0.928637 | 1.928637 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ramon's card is shown to David. Robert's card is shown to Linda. David's card is shown to Ramon. Ramon's card is shown to Ramon. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:1,4 VALID? [ ! (1|2|3|4) ] (Agentb knows that 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:1,4 VALID? [ ! (1|2|3|4) ] 0 | Linda can now know that Linda picked a red card. | explicit | 0 | 4 | not_entailment | [
"David",
"Linda",
"Robert",
"Ramon"
] | 42,398 | explicit-0 | 0 | 0.994013 | 0.005987 |
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 Clarence's forehead is not muddy. It is publicly announced that Billy 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) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agentb knows that 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) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0 | Clarence can now know that Carol's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Billy",
"Clarence",
"Carol"
] | 61,665 | forehead_mirror-0 | 0 | 0.9981 | 0.0019 |
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 Christian's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] Agenta knows that (Agentb 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) ] [ ! 2 ] 0 | Charles can now know that Christian can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Charles",
"Christian",
"Eric",
"Deborah"
] | 66,702 | forehead_mirror-1 | 1 | 0.99932 | 0.00068 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary does not know whether or not everyone is thirsty. It is publicly announced that Mary 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)) ] [ ! 2 ] Agentc knows whether (Agenta knows whether 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! 2 ] 0 | Tristan can now know whether Sandra can know whether Sandra is thirsty. | internal | 1 | 3 | entailment | [
"Sandra",
"Mary",
"Tristan"
] | 57,485 | internal-1 | 1 | 0.996831 | 0.003169 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Delores knows whether someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] (Agentb knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] 0 | David can now know whether or not everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"Andrew",
"David",
"Amanda",
"Delores"
] | 3,293 | internal-0 | 0 | 0.995687 | 0.004313 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agenta knows whether 1) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Manuel can now know that Douglas can know whether Douglas is thirsty. | internal | 1 | 4 | entailment | [
"Douglas",
"Brooks",
"Amy",
"Manuel"
] | 27,893 | internal-1 | 0 | 0.560143 | 1.560143 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sarah's card is shown to Amber. Amber's card is shown to Nancy. Nancy's card is shown to Nancy. Sarah's card is shown to Nancy. Amber's card is shown to Sarah. It is publicly announced that someone picked a red card. It is publicly announced that Sarah does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows that (Agentb knows that (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Amber can now know that Nancy can know that someone picked a red card. | explicit | 1 | 3 | entailment | [
"Amber",
"Nancy",
"Sarah"
] | 57,630 | explicit-1 | 1 | 0.999431 | 0.000569 |
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. Mary's card is shown to Michele. Michele's card is shown to Cathy. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] (Agentc knows whether 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] 0 | Cathy can now know whether Mary picked a red card. | explicit | 0 | 3 | not_entailment | [
"Mary",
"Michele",
"Cathy"
] | 6,666 | explicit-0 | 1 | 0.8698 | 1.8698 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Lourdes knows whether Lourdes's forehead is muddy. It is publicly announced that Lourdes knows whether Lourdes's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether 1) ] (Agenta knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether 1) ] 0 | Lourdes can now know that Lourdes's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Lourdes",
"Ruth"
] | 20,215 | forehead-1 | 0 | 0.87716 | 1.87716 |
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 knows whether someone's forehead is muddy. It is publicly announced that Maxine knows whether Paul's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (Agentb knows whether 4) ] (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) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (Agentb knows whether 4) ] 0 | Ronald can now know whether or not everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Ronald",
"Maxine",
"Angela",
"Paul"
] | 65,889 | forehead-0 | 0 | 0.958574 | 0.041426 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brenda does not know whether Paula is thirsty. It is publicly announced that Maxie does not know whether Brenda is thirsty. It is publicly announced that Paula is not thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(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 3) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(3) ] 0 | Robert can now know whether Paula is thirsty. | internal | 0 | 4 | entailment | [
"Robert",
"Brenda",
"Paula",
"Maxie"
] | 45,568 | internal-1 | 1 | 0.754561 | 0.245439 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Shirley does not know whether William is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] Agenta knows that (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) ] [ ! ~(Agentb knows whether 1) ] 0 | William can now know that Shirley can know that someone is thirsty. | internal | 1 | 3 | entailment | [
"William",
"Shirley",
"George"
] | 45,080 | internal-1 | 1 | 0.999432 | 0.000568 |
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 Jonathan knows whether Thelma'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) ] Agenta knows that (Agentc knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] 0 | Thelma can now know that Jonathan can know that nobody's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Thelma",
"Duane",
"Jonathan"
] | 37,854 | forehead_mirror-0 | 0 | 0.998989 | 0.001011 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Anthony does not know whether Donna is thirsty. It is publicly announced that Donna does not know whether Anthony is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 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 1) ] [ ! ~(Agenta knows whether 3) ] 0 | Chris can now know that nobody is thirsty. | internal | 0 | 3 | not_entailment | [
"Donna",
"Chris",
"Anthony"
] | 5,057 | internal-0 | 0 | 0.998877 | 0.001123 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Ronald knows whether Nelda's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] Agentc knows 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) ] [ ! (Agenta knows whether 2) ] 0 | Joyce can now know that Nelda can know whether Nelda's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Ronald",
"Nelda",
"Joyce"
] | 28,381 | forehead-0 | 1 | 0.874837 | 1.874837 |
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 Bari. Mary's card is shown to Lisa. It is publicly announced that someone picked a red card. It is publicly announced that Mary does not know whether or not everyone picked a red card. It is publicly announced that Mary does not know whether Bari picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 2) ] Agentb knows that (Agenta knows that 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 2) ] 0 | Bari can now know that Mary can know that Bari picked a red card. | explicit | 1 | 3 | not_entailment | [
"Mary",
"Bari",
"Lisa"
] | 60,947 | explicit-0 | 0 | 0.885901 | 0.114099 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). June's card is shown to Ramona. Ramona's card is shown to Lauren. Lauren's card is shown to Lauren. June's card is shown to Lauren. June's card is shown to June. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] (Agentb knows whether (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Lauren can now know whether someone picked a red card. | explicit | 0 | 3 | entailment | [
"Ramona",
"Lauren",
"June"
] | 46,801 | explicit-1 | 1 | 0.99941 | 0.00059 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Benny's forehead is muddy. It is publicly announced that Stacey'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) ] [ ! 4 ] [ ! ~(1) ] (Agentc knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(1) ] 0 | Kelly can now know that Arline's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Stacey",
"Arline",
"Kelly",
"Benny"
] | 65,794 | forehead-0 | 0 | 0.99606 | 0.00394 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Georgia knows whether or not nobody is thirsty. It is publicly announced that Edward 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) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentc 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) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | David can now know that David is thirsty. | internal | 0 | 4 | not_entailment | [
"Edward",
"Georgia",
"David",
"Julie"
] | 1,071 | internal-0 | 0 | 0.82923 | 0.17077 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Debbie knows whether or not nobody's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] (Agentd knows that (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0 | Debbie can now know that everyone's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Marie",
"Tena",
"Kristen",
"Debbie"
] | 51,745 | forehead-0 | 0 | 0.998997 | 0.001003 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Donald does not know whether Lisa is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] Agentb knows whether (Agentd knows that 2) | 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 1) ] 0 | Margaret can now know whether Sarah can know that Margaret is thirsty. | internal | 1 | 4 | entailment | [
"Lisa",
"Margaret",
"Donald",
"Sarah"
] | 30,953 | internal-1 | 1 | 0.955677 | 0.044323 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ronald's card is shown to Eva. Patricia's card is shown to Eva. Dora's card is shown to Dora. Eva's card is shown to Ronald. Dora's card is shown to Ronald. Eva's card is shown to Patricia. It is publicly announced that someone picked a red card. It is publicly announced that Ronald does not know whether Ronald picked a red card. It is publicly announced that Ronald does not know whether Ronald picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:1,2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agentc knows whether 3) ] Agenta knows whether (Agentc knows that (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:1,2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agentc knows whether 3) ] 0 | Eva can now know whether Ronald can know that nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Eva",
"Dora",
"Ronald",
"Patricia"
] | 54,985 | explicit-1 | 1 | 0.999214 | 0.000786 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Carie does not know whether Carie'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) ] 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) ] [ ! ~(Agenta knows whether 1) ] 0 | Clay can now know that Joshua can know that nobody's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Carie",
"Joshua",
"Clay",
"Tabatha"
] | 33,035 | forehead-0 | 0 | 0.998992 | 0.001008 |
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. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agenta knows that (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) ] [ ! (~(1&2&3)) ] 0 | Antonio can now know that Christopher can know whether Christopher's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Antonio",
"Christopher",
"Michael"
] | 607 | forehead-0 | 0 | 0.985045 | 0.014955 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dorothy's card is shown to John. Dorothy's card is shown to Dorothy. Dorothy's card is shown to Randy. Randy's card is shown to Randy. Randy's card is shown to William. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] 0 | John can now know whether Randy picked a red card. | explicit | 0 | 4 | not_entailment | [
"John",
"Dorothy",
"Randy",
"William"
] | 62,874 | explicit-0 | 1 | 0.910447 | 1.910447 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Stacia does not know whether Mary is thirsty. It is publicly announced that Aurora 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) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agenta knows whether (Agentb 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) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | Mary can now know whether Kenneth can know whether Mary is thirsty. | internal | 1 | 4 | entailment | [
"Mary",
"Kenneth",
"Stacia",
"Aurora"
] | 57,260 | internal-1 | 1 | 0.998974 | 0.001026 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Antonia knows whether Alexis is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] (Agentb knows whether 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0 | Alexis can now know whether Alexis is thirsty. | internal | 0 | 2 | entailment | [
"Antonia",
"Alexis"
] | 8,223 | internal-1 | 1 | 0.997396 | 0.002604 |
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 Marcia knows whether Marcia's forehead is muddy. It is publicly announced that Lisa knows whether Lisa's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 1) ] [ ! (Agentb knows whether 2) ] (Agentd knows whether (~(1|2|3|4))) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 1) ] [ ! (Agentb knows whether 2) ] 0 | Sheri can now know whether or not nobody's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Marcia",
"Lisa",
"Earl",
"Sheri"
] | 33,312 | forehead_mirror-1 | 1 | 0.999364 | 0.000636 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agentb knows whether 1) | 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 | Donna can now know whether John can know whether Rosemary's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Rosemary",
"John",
"Maryjo",
"Donna"
] | 24,490 | forehead-1 | 1 | 0.99929 | 0.00071 |
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 Miranda knows whether Ruby's forehead is muddy. It is publicly announced that Miranda knows whether Miranda'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) ] [ ! (Agentd knows whether 4) ] Agentb knows that (Agentd knows that 1) | 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) ] [ ! (Agentd knows whether 4) ] 0 | Kyle can now know that Miranda can know that Ruby's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Ruby",
"Kyle",
"Charlotte",
"Miranda"
] | 65,653 | forehead_mirror-0 | 0 | 0.997102 | 0.002898 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to John. Gerald's card is shown to Beatrice. Joseph's card is shown to Beatrice. John's card is shown to Gerald. John's card is shown to Joseph. It is publicly announced that someone picked a red card. It is publicly announced that Joseph does not know whether Joseph picked a red card. It is publicly announced that Gerald knows whether someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agenta knows that (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0 | John can now know that nobody picked a red card. | explicit | 0 | 4 | not_entailment | [
"John",
"Beatrice",
"Gerald",
"Joseph"
] | 31,785 | explicit-0 | 0 | 0.998973 | 0.001027 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rachel's forehead is muddy. It is publicly announced that Betty does not know whether Betty'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 ] [ ! ~(Agentc knows whether 3) ] Agentb knows that (Agenta knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! ~(Agentc knows whether 3) ] 0 | Rachel can now know that Timothy can know that nobody's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Timothy",
"Rachel",
"Betty"
] | 56,809 | forehead-0 | 0 | 0.999027 | 0.000973 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Manuel's card is shown to Leonard. Allyson's card is shown to Leonard. Manuel's card is shown to Louise. Leonard's card is shown to Manuel. Allyson's card is shown to Manuel. Leonard's card is shown to Allyson. Allyson's card is shown to Allyson. It is publicly announced that someone picked a red card. It is publicly announced that Louise does not know whether Allyson picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 Agentc:1,4 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] (Agentc knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 Agentc:1,4 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0 | Manuel can now know that Allyson picked a red card. | explicit | 0 | 4 | not_entailment | [
"Leonard",
"Louise",
"Manuel",
"Allyson"
] | 8,981 | explicit-0 | 0 | 0.992916 | 0.007084 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Patty. Benjamin's card is shown to Patty. Robert's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Patty does not know whether Billy picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] (Agenta knows whether (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0 | Patty can now know whether or not nobody picked a red card. | explicit | 0 | 4 | entailment | [
"Patty",
"Robert",
"Benjamin",
"Billy"
] | 43,404 | explicit-1 | 1 | 0.999389 | 0.000611 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elizabeth's card is shown to Elizabeth. Leigh's card is shown to Elizabeth. Elizabeth's card is shown to Leigh. It is publicly announced that someone picked a red card. It is publicly announced that Leigh knows 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 whether (Agenta knows that 2) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] 0 | Leigh can now know whether Elizabeth can know that Leigh picked a red card. | explicit | 1 | 2 | entailment | [
"Elizabeth",
"Leigh"
] | 43,922 | explicit-1 | 1 | 0.950731 | 0.049269 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joan's card is shown to Joan. Sarah's card is shown to Avril. Avril's card is shown to Edward. Joan's card is shown to Sarah. Edward's card is shown to Sarah. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2 Agentd:1,3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agenta knows that (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0 | Avril can now know whether Joan can know that everyone picked a red card. | explicit | 1 | 4 | entailment | [
"Joan",
"Avril",
"Edward",
"Sarah"
] | 64,709 | explicit-1 | 1 | 0.981171 | 0.018829 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Edward knows whether or not everyone's forehead is muddy. It is publicly announced that Charles'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) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! ~(1) ] (Agentc knows whether (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! ~(1) ] 0 | Edgar can now know whether or not nobody's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Charles",
"Edward",
"Edgar"
] | 1,571 | forehead-1 | 1 | 0.999466 | 0.000534 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Donald knows whether Isaac's forehead is muddy. It is publicly announced that Isaac knows whether Donald'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 3) ] [ ! (Agentc knows whether 2) ] Agenta knows whether (Agentd 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) ] [ ! (Agentb knows whether 3) ] [ ! (Agentc knows whether 2) ] 0 | Joel can now know whether Sherman can know whether or not everyone's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Joel",
"Donald",
"Isaac",
"Sherman"
] | 44,293 | forehead-0 | 0 | 0.96426 | 0.03574 |
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 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) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agentc knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Robert can now know whether Charles's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Richard",
"Aaron",
"Robert",
"Charles"
] | 43,664 | forehead-1 | 1 | 0.999207 | 0.000793 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Isreal is not thirsty. It is publicly announced that Amanda knows whether or not everyone is thirsty. It is publicly announced that Robert is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (Agenta knows whether (1&2&3)) ] [ ! ~(3) ] Agentb knows whether (Agentc knows that (1|2|3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (Agenta knows whether (1&2&3)) ] [ ! ~(3) ] 0 | Isreal can now know whether Robert can know that someone is thirsty. | internal | 1 | 3 | entailment | [
"Amanda",
"Isreal",
"Robert"
] | 45,805 | internal-1 | 1 | 0.999482 | 0.000518 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charles's card is shown to John. Sarah's card is shown to John. Charles's card is shown to Sarah. John's card is shown to Janet. Sarah's card is shown to Janet. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows whether 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0 | John can now know whether Charles can know whether Sarah picked a red card. | explicit | 1 | 4 | entailment | [
"John",
"Charles",
"Sarah",
"Janet"
] | 2,009 | explicit-1 | 1 | 0.998869 | 0.001131 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dwain's card is shown to Dwain. Cindy's card is shown to Cindy. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] (Agentb knows whether (1&2)) | 0 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] 0 | Cindy can now know whether or not everyone picked a red card. | explicit | 0 | 2 | not_entailment | [
"Dwain",
"Cindy"
] | 16,304 | explicit-0 | 0 | 0.992801 | 0.007199 |
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 William. Katharine's card is shown to William. William's card is shown to Katharine. Katharine's card is shown to Katharine. Katharine's card is shown to Deloris. Deloris's card is shown to Deloris. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows whether 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] 0 | Deloris can now know that Katharine can know whether Deloris picked a red card. | explicit | 1 | 3 | not_entailment | [
"William",
"Katharine",
"Deloris"
] | 60,926 | explicit-0 | 1 | 0.575345 | 1.575345 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Tina's forehead is not muddy. It is publicly announced that Timothy'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 that (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) ] [ ! ~(2) ] [ ! 1 ] 0 | Tina can now know that Calvin can know that everyone's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Timothy",
"Tina",
"Calvin"
] | 58,896 | forehead-0 | 0 | 0.998713 | 0.001287 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Nicholas does not know whether Nicholas's forehead is muddy. It is publicly announced that Nicholas does not know whether Nicholas's forehead is muddy. It is publicly announced that Kristin knows whether or not nobody's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (~(1|2))) ] (Agentb knows whether (~(1|2))) | 3 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Kristin can now know whether or not nobody's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Nicholas",
"Kristin"
] | 67,520 | forehead-1 | 1 | 0.999418 | 0.000582 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] (Agentc knows that (~(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 | Frederick can now know that nobody is thirsty. | internal | 0 | 3 | not_entailment | [
"Sandra",
"Kenneth",
"Frederick"
] | 53,801 | internal-0 | 0 | 0.991812 | 0.008188 |
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. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (1&2) ] Agenta knows whether (Agentb knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (1&2) ] 0 | Jamie can now know whether Susan can know that Jamie is thirsty. | internal | 1 | 2 | entailment | [
"Jamie",
"Susan"
] | 66,010 | internal-1 | 1 | 0.9847 | 0.0153 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Stephanie does not know whether Angelica is thirsty. It is publicly announced that Lan is not 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) ] [ ! ~(1) ] Agenta knows that (Agentd knows that 3) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(1) ] 0 | Lan can now know that Angelica can know that William is thirsty. | internal | 1 | 4 | not_entailment | [
"Lan",
"Stephanie",
"William",
"Angelica"
] | 48,900 | internal-0 | 0 | 0.997705 | 0.002295 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dean's card is shown to Vivian. Rosa's card is shown to Phil. Dean's card is shown to Dean. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentc knows that 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] 0 | Phil can now know whether Dean can know that Phil picked a red card. | explicit | 1 | 4 | entailment | [
"Vivian",
"Phil",
"Dean",
"Rosa"
] | 49,126 | explicit-1 | 0 | 0.640698 | 1.640698 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Eric knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] (Agentc knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] 0 | Alana can now know that Alana's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Eric",
"Helen",
"Alana"
] | 40,213 | forehead-0 | 0 | 0.970354 | 0.029646 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Richard does not know whether or not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows whether (Agentb knows whether 1) | 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 | Kimberly can now know whether Matthew can know whether Kimberly is thirsty. | internal | 1 | 3 | entailment | [
"Kimberly",
"Matthew",
"Richard"
] | 46,762 | internal-1 | 1 | 0.999017 | 0.000983 |
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) ] Agenta knows whether (Agentd knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0 | Tamara can now know whether Sarah can know that Tamara's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Tamara",
"Alice",
"Helen",
"Sarah"
] | 37,171 | forehead_mirror-1 | 1 | 0.999383 | 0.000617 |
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 Madaline 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) ] [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentb knows whether (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) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | Terri can now know whether John can know whether John's forehead is muddy. | forehead | 1 | 4 | entailment | [
"William",
"Terri",
"John",
"Madaline"
] | 63,093 | forehead-1 | 1 | 0.755989 | 0.244011 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Luke's card is shown to Luke. Amber's card is shown to Luke. Luke's card is shown to Bernice. Bernice's card is shown to Bernice. Bernice's card is shown to Amber. Amber's card is shown to Amber. It is publicly announced that someone picked a red card. It is publicly announced that Amber does not know whether Luke picked a red card. It is publicly announced that Bernice does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentb knows whether (Agentc knows whether (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Bernice can now know whether Amber can know whether or not everyone picked a red card. | explicit | 1 | 3 | entailment | [
"Luke",
"Bernice",
"Amber"
] | 59,200 | explicit-1 | 1 | 0.604195 | 0.395805 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Virginia does not know whether Steven is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] (Agenta 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 | Jill can now know that Steven is thirsty. | internal | 0 | 3 | not_entailment | [
"Jill",
"Virginia",
"Steven"
] | 45,409 | internal-0 | 0 | 0.991802 | 0.008198 |
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 Paul'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 (Agentd knows that 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] 0 | Marie can now know that Jolyn can know that Paul's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Marie",
"Paul",
"Christine",
"Jolyn"
] | 27,258 | forehead-0 | 0 | 0.995138 | 0.004862 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Janna does not know whether Janna's forehead is muddy. It is publicly announced that Janna does not know whether Janna's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether 1) ] Agentb knows that (Agenta knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether 1) ] 0 | Joel can now know that Janna can know whether someone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Janna",
"Joel"
] | 16,509 | forehead-1 | 1 | 0.999445 | 0.000555 |
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 Crystal knows whether or not everyone's forehead is muddy. It is publicly announced that Crystal knows whether Jamie's forehead is muddy. It is publicly announced that Crystal knows whether someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether (1|2)) ] Agenta knows whether (Agentb 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) ] [ ! (Agenta knows whether (1|2)) ] 0 | Crystal can now know whether Jamie can know that nobody's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Crystal",
"Jamie"
] | 17,295 | forehead_mirror-1 | 1 | 0.999416 | 0.000584 |