premise
stringlengths 104
712
| smcdel_problem
stringlengths 72
285
| n_announcements
int64 0
4
| pbcheck
stringlengths 52
245
| hypothesis
stringlengths 37
94
| setup
stringclasses 4
values | hypothesis_depth
int64 0
1
| n_agents
int64 2
4
| label
stringclasses 2
values | names
sequencelengths 2
4
| index
int64 1
67.7k
| s-l
stringclasses 8
values | deberta_pred
int64 0
1
| deberta_confidence
float64 0.5
1
| difficulty
float64 0
2
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether John is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] Agentb knows that (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) ] [ ! ~(Agentc knows whether 1) ] 0 | Brian can now know that William can know that everyone is thirsty. | internal | 1 | 3 | not_entailment | [
"John",
"Brian",
"William"
] | 49,746 | internal-0 | 0 | 0.998338 | 0.001662 |
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 Susan knows whether Curtis's forehead is muddy. It is publicly announced that David'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) ] [ ! (Agentc knows whether 4) ] [ ! ~(2) ] (Agentd knows that (~(1|2|3|4))) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] [ ! ~(2) ] 0 | Curtis can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Janet",
"David",
"Susan",
"Curtis"
] | 56,979 | forehead_mirror-0 | 0 | 0.998415 | 0.001585 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sara's card is shown to Sara. Dianna's card is shown to Dianna. Sulema's card is shown to Bonnie. Bonnie's card is shown to Bonnie. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,4 VALID? [ ! (1|2|3|4) ] (Agentc knows that (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,4 VALID? [ ! (1|2|3|4) ] 0 | Dianna can now know that someone picked a red card. | explicit | 0 | 4 | entailment | [
"Sulema",
"Sara",
"Dianna",
"Bonnie"
] | 67,651 | explicit-1 | 1 | 0.999771 | 0.000229 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Abraham's forehead is not muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(1) ] (Agentb knows that (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(1) ] 0 | Shirley can now know that nobody's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Abraham",
"Shirley"
] | 48,754 | forehead-0 | 0 | 0.998386 | 0.001614 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Christina does not know whether or not everyone's forehead is muddy. It is publicly announced that Christina 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) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] (Agentb knows that 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)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0 | Mary can now know that Nellie's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Jane",
"Mary",
"Christina",
"Nellie"
] | 5,602 | forehead-1 | 1 | 0.623547 | 0.376453 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Billy does not know whether Billy'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) ] Agentb knows that (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 3) ] 0 | Mary can now know that Jose can know that Mary's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Jose",
"Mary",
"Billy"
] | 1,593 | forehead-0 | 0 | 0.997962 | 0.002038 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ethel does not know whether or not everyone is thirsty. It is publicly announced that Ethel knows whether someone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] Agenta knows that (Agentb knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] 0 | Melba can now know that Ethel can know whether someone is thirsty. | internal | 1 | 2 | entailment | [
"Melba",
"Ethel"
] | 56,344 | internal-1 | 1 | 0.999782 | 0.000218 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Carl is thirsty. It is publicly announced that Carl does not know whether or not everyone is thirsty. It is publicly announced that Carl does not know whether Marcus is thirsty. It is publicly announced that Carl does not know whether Marcus is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether 3) ] Agentb knows whether (Agentc knows that 3) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether 3) ] 0 | Carl can now know whether Marcus can know that Marcus is thirsty. | internal | 1 | 3 | not_entailment | [
"John",
"Carl",
"Marcus"
] | 3,869 | internal-0 | 1 | 0.953209 | 1.953209 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kirk does not know whether or not everyone's forehead is muddy. It is publicly announced that Frances's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! 2 ] (Agenta knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! 2 ] 0 | Kirk can now know whether Frances's forehead is muddy. | forehead | 0 | 2 | entailment | [
"Kirk",
"Frances"
] | 6,757 | forehead-1 | 1 | 0.999469 | 0.000531 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Grace does not know whether Karl is thirsty. It is publicly announced that Grace does not know whether Karl is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 1) ] (Agentb knows whether 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 1) ] 0 | Grace can now know whether Karl is thirsty. | internal | 0 | 2 | not_entailment | [
"Karl",
"Grace"
] | 66,057 | internal-0 | 0 | 0.939012 | 0.060988 |
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 does not know whether Gary's forehead is muddy. It is publicly announced that Norman's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! 3 ] (Agenta knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! 3 ] 0 | Kathleen can now know whether Gary's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Kathleen",
"Albert",
"Norman",
"Gary"
] | 34,124 | forehead-1 | 1 | 0.999567 | 0.000433 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dorothy does not know whether Davis 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) ] (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) ] [ ! ~(Agentd knows whether 3) ] 0 | Frank can now know that nobody is thirsty. | internal | 0 | 4 | not_entailment | [
"Marjorie",
"Frank",
"Davis",
"Dorothy"
] | 7,191 | internal-0 | 0 | 0.998255 | 0.001745 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] (Agentc knows that 1) | 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 | Nathaniel can now know that Robert's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Robert",
"Nancy",
"Nathaniel"
] | 66,851 | forehead-1 | 1 | 0.998211 | 0.001789 |
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 Karen knows whether Dacia'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) ] (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) ] [ ! (Agentd knows whether 1) ] 0 | David can now know whether or not everyone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Dacia",
"David",
"Grace",
"Karen"
] | 39,506 | forehead_mirror-1 | 1 | 0.999605 | 0.000395 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Patrick's card is shown to Patrick. Michael's card is shown to Patrick. Patrick's card is shown to Suzanne. Suzanne's card is shown to Suzanne. Patrick's card is shown to Michael. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] (Agentc knows whether (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Michael can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"Patrick",
"Suzanne",
"Michael"
] | 58,458 | explicit-1 | 1 | 0.999727 | 0.000273 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Victoria does not know whether Victoria's forehead is muddy. It is publicly announced that Donn does not know whether Donn'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 (Agenta 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 | Donn can now know that Victoria can know whether Victoria's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Victoria",
"Carolyn",
"Donn"
] | 37,876 | forehead-0 | 0 | 0.830679 | 0.169321 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Roy is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] Agentb knows whether (Agentd 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) ] [ ! 3 ] 0 | Dan can now know whether Marina can know that everyone is thirsty. | internal | 1 | 4 | entailment | [
"Amanda",
"Dan",
"Roy",
"Marina"
] | 15,294 | internal-1 | 1 | 0.997317 | 0.002683 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeffrey's card is shown to Jeffrey. It is publicly announced that someone picked a red card. It is publicly announced that Jeffrey knows whether Jeffrey picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] (Agenta knows whether (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] 0 | Jeffrey can now know whether or not everyone picked a red card. | explicit | 0 | 2 | not_entailment | [
"Jeffrey",
"Larry"
] | 22,080 | explicit-0 | 0 | 0.906413 | 0.093587 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Gail does not know whether Gail's forehead is muddy. It is publicly announced that Gail does not know whether Gail's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether 2) ] Agenta knows that (Agentb knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether 2) ] 0 | Ronald can now know that Gail can know that everyone's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Ronald",
"Gail"
] | 10,445 | forehead-0 | 0 | 0.99825 | 0.00175 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Frank's card is shown to Frank. Patricia's card is shown to Patricia. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] (Agentb knows whether (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] 0 | Patricia can now know whether someone picked a red card. | explicit | 0 | 3 | entailment | [
"Frank",
"Patricia",
"Chris"
] | 61,651 | explicit-1 | 1 | 0.99977 | 0.00023 |
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 Tiffany knows whether Terry'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) ] (Agenta knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] 0 | Max can now know that Max's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Max",
"Herbert",
"Tiffany",
"Terry"
] | 11,730 | forehead_mirror-0 | 0 | 0.998017 | 0.001983 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Derrick does not know whether or not everyone is thirsty. It is publicly announced that Derrick does not know whether Angela 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 2) ] Agentb knows that (Agentc knows that (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 2) ] 0 | Angela can now know that Roberta can know that everyone is thirsty. | internal | 1 | 3 | not_entailment | [
"Derrick",
"Angela",
"Roberta"
] | 63,298 | internal-0 | 0 | 0.993383 | 0.006617 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charles's card is shown to Charles. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (1&2) ] (Agenta knows whether 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (1&2) ] 0 | Charles can now know whether Charles picked a red card. | explicit | 0 | 2 | entailment | [
"Charles",
"Robert"
] | 35,471 | explicit-1 | 1 | 0.997169 | 0.002831 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Alan's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! (~(1&2&3)) ] Agenta knows that (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&2&3)) ] 0 | Patricia can now know that Carolyn can know that everyone's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Patricia",
"Alan",
"Carolyn"
] | 67,537 | forehead-0 | 0 | 0.998314 | 0.001686 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Cheryl does not know whether Cheryl's forehead is muddy. It is publicly announced that Cheryl 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 3) ] [ ! ~(Agentc knows whether (1&2&3)) ] (Agentc knows whether (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Cheryl can now know whether someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Sue",
"Maria",
"Cheryl"
] | 6,528 | forehead-1 | 1 | 0.99978 | 0.00022 |
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 Pearl knows whether Joshua'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) ] 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 3) ] 0 | Joshua can now know that Daisy can know that everyone's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Paul",
"Pearl",
"Joshua",
"Daisy"
] | 14,819 | forehead_mirror-0 | 0 | 0.998443 | 0.001557 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Catherine knows whether or not nobody is thirsty. It is publicly announced that Catherine 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 (1&2&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) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Catherine can now know that nobody is thirsty. | internal | 0 | 3 | not_entailment | [
"Catherine",
"Linda",
"Derrick"
] | 8,672 | internal-0 | 0 | 0.998185 | 0.001815 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria does not know whether Kimberly is thirsty. It is publicly announced that Kimberly does not know whether Burton is thirsty. It is publicly announced that Maria does not know whether Kimberly is thirsty. It is publicly announced that Maria does not know whether Patricia 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) ] Agentb knows whether (Agentd knows that 4) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 1) ] 0 | Kimberly can now know whether Maria can know that Maria is thirsty. | internal | 1 | 4 | not_entailment | [
"Patricia",
"Kimberly",
"Burton",
"Maria"
] | 61,613 | internal-0 | 1 | 0.987154 | 1.987154 |
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 Veronica knows whether Scott'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 2) ] (Agenta knows that 2) | 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 2) ] 0 | Ernestina can now know that Scott's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Ernestina",
"Scott",
"Veronica"
] | 7,610 | forehead_mirror-0 | 0 | 0.997899 | 0.002101 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barry 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)) ] (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) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0 | Barry can now know that everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Marc",
"Geraldine",
"Barry"
] | 67,255 | internal-0 | 0 | 0.996288 | 0.003712 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joan's card is shown to Joan. Margaret's card is shown to Joan. Jason's card is shown to Jason. Jason's card is shown to Margaret. It is publicly announced that someone picked a red card. It is publicly announced that Jason does not know whether Joan picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] Agentc knows that (Agenta knows whether 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] 0 | Margaret can now know that Joan can know whether Margaret picked a red card. | explicit | 1 | 3 | entailment | [
"Joan",
"Jason",
"Margaret"
] | 37,704 | explicit-1 | 0 | 0.939396 | 1.939396 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mary does not know whether or not everyone's forehead is muddy. It is publicly announced that Mary does not know whether Mary's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 1) ] Agentb knows that (Agenta knows whether 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 1) ] 0 | Ada can now know that Mary can know whether Mary's forehead is muddy. | forehead | 1 | 2 | not_entailment | [
"Mary",
"Ada"
] | 7,047 | forehead-0 | 1 | 0.872332 | 1.872332 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dixie's card is shown to Mark. Randall's card is shown to Mark. Randall's card is shown to Randall. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:3 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows that 3) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:3 VALID? [ ! (1|2|3) ] 0 | Dixie can now know whether Mark can know that Randall picked a red card. | explicit | 1 | 3 | entailment | [
"Dixie",
"Mark",
"Randall"
] | 16,668 | explicit-1 | 1 | 0.9383 | 0.0617 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Harry knows whether Harry's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] (Agentd knows that 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) ] [ ! (Agenta knows whether 1) ] 0 | Larry can now know that Jane's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Harry",
"Jane",
"Catherine",
"Larry"
] | 46,115 | forehead-0 | 0 | 0.998365 | 0.001635 |
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 Maria knows whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] Agentb knows that (Agentc knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0 | Connie can now know that Maria can know that Maria's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Lee",
"Connie",
"Maria",
"Tameka"
] | 55,538 | forehead_mirror-0 | 0 | 0.732276 | 0.267724 |
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 Renata'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 ] 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) ] [ ! 2 ] 0 | Derek can now know that Renata can know that Derek's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Lloyd",
"Renata",
"Derek",
"Austin"
] | 20,084 | forehead_mirror-0 | 0 | 0.974352 | 0.025648 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ruth's card is shown to Diane. Joseph's card is shown to Ruth. Richard's card is shown to Ruth. Diane's card is shown to Joseph. Ruth's card is shown to Joseph. Ruth's card is shown to Richard. Joseph's card is shown to Richard. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3,4 Agentc:1,2 Agentd:2,3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows that 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3,4 Agentc:1,2 Agentd:2,3 VALID? [ ! (1|2|3|4) ] 0 | Diane can now know whether Ruth can know that Ruth picked a red card. | explicit | 1 | 4 | entailment | [
"Diane",
"Ruth",
"Joseph",
"Richard"
] | 18,576 | explicit-1 | 1 | 0.881725 | 0.118275 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jewel's card is shown to Beverly. Don's card is shown to Don. Beverly's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Don picked a red card. It is publicly announced that Jewel knows whether someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (Agenta knows whether (1|2|3|4)) ] (Agenta knows whether 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (Agenta knows whether (1|2|3|4)) ] 0 | Jewel can now know whether Beverly picked a red card. | explicit | 0 | 4 | not_entailment | [
"Jewel",
"Beverly",
"Don",
"Mary"
] | 49,646 | explicit-0 | 1 | 0.644272 | 1.644272 |
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 Susan's forehead is muddy. It is publicly announced that James knows whether Dorothea's forehead is muddy. It is publicly announced that Jacqueline knows whether James's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! (Agentc knows whether 4) ] [ ! (Agentb knows whether 3) ] Agenta knows whether (Agentb knows that 3) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! (Agentc knows whether 4) ] [ ! (Agentb knows whether 3) ] 0 | Susan can now know whether Jacqueline can know that James's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Susan",
"Jacqueline",
"James",
"Dorothea"
] | 59,044 | forehead_mirror-1 | 1 | 0.999672 | 0.000328 |
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 Erin is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] (Agentc knows that (1|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 2) ] 0 | Dionne can now know that someone is thirsty. | internal | 0 | 4 | entailment | [
"Cathy",
"Erin",
"Dionne",
"Brian"
] | 20,159 | internal-1 | 1 | 0.999768 | 0.000232 |
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. Dorris's card is shown to Angela. Darryl's card is shown to Dorris. Darryl's card is shown to Darryl. Darryl's card is shown to Violet. It is publicly announced that someone picked a red card. It is publicly announced that Darryl picked a red card. It is publicly announced that Angela picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! ~(1) ] (Agenta knows that 1) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! ~(1) ] 0 | Angela can now know that Angela picked a red card. | explicit | 0 | 4 | not_entailment | [
"Angela",
"Dorris",
"Darryl",
"Violet"
] | 50,142 | explicit-0 | 0 | 0.539066 | 0.460934 |
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 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&2&3&4) ] 0 | Darren can now know that Patricia's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Darren",
"Patricia",
"Kellie",
"Kelli"
] | 49,996 | forehead_mirror-1 | 1 | 0.998078 | 0.001922 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Della knows whether Della'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) ] (Agentb 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) ] [ ! (Agenta knows whether 1) ] 0 | Charles can now know that Charles's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Della",
"Charles",
"Dolores",
"Gloria"
] | 61,113 | forehead-0 | 0 | 0.99827 | 0.00173 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Justin knows whether Rosalie'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 1) | 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 | Ronnie can now know that Justin's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Justin",
"Rosalie",
"Ronnie"
] | 67,267 | forehead-0 | 0 | 0.998338 | 0.001662 |
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 Leola 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)) ] (Agentb knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0 | Nancy can now know whether Nancy's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Leola",
"Nancy",
"Daniel",
"Arnoldo"
] | 30,083 | forehead_mirror-1 | 1 | 0.99886 | 0.00114 |
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) ] (Agentd knows that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] 0 | Terrie can now know that Sherry's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Jill",
"Micah",
"Sherry",
"Terrie"
] | 42,252 | forehead_mirror-0 | 0 | 0.998635 | 0.001365 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Frances's forehead is muddy. It is publicly announced that Frances's forehead is muddy. It is publicly announced that Frances'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 ] [ ! 1 ] [ ! 1 ] Agentc knows whether (Agentb knows whether 1) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! 1 ] [ ! 1 ] 0 | Laila can now know whether Paola can know whether Frances's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Frances",
"Paola",
"Laila",
"Sally"
] | 13,187 | forehead-1 | 1 | 0.999393 | 0.000607 |
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 Christopher knows whether Kim'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) ] (Agentb knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 4) ] 0 | Christopher can now know whether Kim's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Susan",
"Christopher",
"Edwin",
"Kim"
] | 20,473 | forehead_mirror-1 | 1 | 0.999754 | 0.000246 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Aaron's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] Agenta knows whether (Agentb knows that (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 2 ] 0 | Dudley can now know whether Aaron can know that everyone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Dudley",
"Aaron"
] | 53,198 | forehead_mirror-1 | 1 | 0.999553 | 0.000447 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mary's card is shown to Tonya. Tonya's card is shown to Glen. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agenta knows whether (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3|4) ] 0 | Mary can now know whether Tonya can know whether or not everyone picked a red card. | explicit | 1 | 4 | not_entailment | [
"Tonya",
"Mary",
"Jonathan",
"Glen"
] | 65,934 | explicit-0 | 0 | 0.944766 | 0.055234 |
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 Joseph knows whether Robert's forehead is muddy. It is publicly announced that Madelyn'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) ] [ ! (Agentb knows whether 3) ] [ ! ~(1) ] Agentb knows whether (Agentd 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) ] [ ! ~(1) ] 0 | Joseph can now know whether Thomas can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Madelyn",
"Joseph",
"Robert",
"Thomas"
] | 35,093 | forehead_mirror-1 | 1 | 0.999598 | 0.000402 |
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 Donald 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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentd knows that (Agentb knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Margaret can now know that Nadine can know whether Margaret's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Donald",
"Nadine",
"Bessie",
"Margaret"
] | 51,082 | forehead-1 | 1 | 0.999065 | 0.000935 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that James's forehead is not muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] (Agentd knows whether (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] 0 | Brandon can now know whether or not nobody's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Robert",
"Roger",
"James",
"Brandon"
] | 53,257 | forehead-1 | 1 | 0.999738 | 0.000262 |
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 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 | Gregorio can now know that Jarrett's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Danilo",
"Jarrett",
"Gregorio",
"Paul"
] | 32,408 | forehead_mirror-0 | 0 | 0.998437 | 0.001563 |
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 Pearl knows whether Ed'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) ] (Agentc knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] 0 | Ralph can now know that Ralph's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Pearl",
"Ed",
"Ralph"
] | 18,580 | forehead_mirror-0 | 0 | 0.998015 | 0.001985 |
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 Roy knows whether or not nobody's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] Agentb knows whether (Agenta knows whether (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] 0 | John can now know whether Roy can know whether or not nobody's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Roy",
"John"
] | 56,348 | forehead_mirror-1 | 1 | 0.99975 | 0.00025 |
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 Alma knows whether William's forehead is muddy. It is publicly announced that Alma 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))) ] (Agentc 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 | William can now know whether William's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Betty",
"David",
"William",
"Alma"
] | 48,883 | forehead_mirror-1 | 1 | 0.999444 | 0.000556 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether Karen is thirsty. It is publicly announced that Tyson is thirsty. It is publicly announced that Karen is thirsty. It is publicly announced that Tyson is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! 1 ] [ ! 2 ] [ ! 1 ] Agentb knows that (Agenta knows whether (~(1|2|3))) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! 1 ] [ ! 2 ] [ ! 1 ] 0 | Karen can now know that Tyson can know whether or not nobody is thirsty. | internal | 1 | 3 | entailment | [
"Tyson",
"Karen",
"William"
] | 30,292 | internal-1 | 1 | 0.999717 | 0.000283 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rick's card is shown to Tyrone. Lydia's card is shown to Tyrone. Tyrone's card is shown to Leon. Lydia's card is shown to Leon. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,3 VALID? [ ! (1|2|3|4) ] (Agenta knows that 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,3 VALID? [ ! (1|2|3|4) ] 0 | Tyrone can now know that Rick picked a red card. | explicit | 0 | 4 | not_entailment | [
"Tyrone",
"Rick",
"Lydia",
"Leon"
] | 30,724 | explicit-0 | 0 | 0.998233 | 0.001767 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Mary does not know whether Mary's forehead is muddy. It is publicly announced that Mary does not know whether Mary's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agentc knows whether 3) ] Agentd knows whether (Agentc knows whether 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 3) ] [ ! ~(Agentc knows whether 3) ] 0 | Tom can now know whether Mary can know whether Tom's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Serena",
"Janet",
"Mary",
"Tom"
] | 59,954 | forehead-1 | 1 | 0.996136 | 0.003864 |
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 James's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 1 ] Agentb knows that (Agenta knows that 3) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 1 ] 0 | Dennis can now know that James can know that Terry's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"James",
"Dennis",
"Terry"
] | 38,872 | forehead_mirror-0 | 0 | 0.97049 | 0.02951 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agenta knows whether (Agentb knows whether (1|2|3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0 | Dorinda can now know whether Clara can know whether someone is thirsty. | internal | 1 | 3 | entailment | [
"Dorinda",
"Clara",
"John"
] | 18,822 | internal-1 | 1 | 0.99978 | 0.00022 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bernardo does not know whether Timothy 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) ] [ ! ~(Agenta knows whether 2) ] [ ! (1&2&3) ] Agentb knows whether (Agentc knows that 1) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (1&2&3) ] 0 | Timothy can now know whether Clarice can know that Bernardo is thirsty. | internal | 1 | 3 | entailment | [
"Bernardo",
"Timothy",
"Clarice"
] | 26,893 | internal-1 | 1 | 0.996304 | 0.003696 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Diana does not know whether Alyssa is thirsty. It is publicly announced that Alyssa does not know whether Alice 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) ] [ ! ~(Agenta knows whether 4) ] Agentb knows that (Agentc 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) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 4) ] 0 | Geoffrey can now know that Diana can know whether someone is thirsty. | internal | 1 | 4 | entailment | [
"Alyssa",
"Geoffrey",
"Diana",
"Alice"
] | 21,112 | internal-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 Jasmine does not know whether or not everyone is thirsty. It is publicly announced that Jeremy does not know whether Virginia is thirsty. It is publicly announced that Jeremy does not know whether Virginia is thirsty. It is publicly announced that Jeremy does not know whether Peter is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentb knows whether 1) ] Agentd knows that (Agentc knows whether (1|2|3|4)) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentb knows whether 1) ] 0 | Virginia can now know that Jasmine can know whether someone is thirsty. | internal | 1 | 4 | entailment | [
"Peter",
"Jeremy",
"Jasmine",
"Virginia"
] | 25,662 | internal-1 | 1 | 0.999779 | 0.000221 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elizabeth's card is shown to Regina. Janice's card is shown to Janice. Harvey's card is shown to Janice. Elizabeth's card is shown to Harvey. Janice'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:2,3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] (Agentd knows that (1|2|3|4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] 0 | Elizabeth can now know that someone picked a red card. | explicit | 0 | 4 | entailment | [
"Regina",
"Janice",
"Harvey",
"Elizabeth"
] | 19,051 | explicit-1 | 1 | 0.999771 | 0.000229 |
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 Jeannine is thirsty. It is publicly announced that Donna does not know whether Robert is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] Agentd knows that (Agenta 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) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] 0 | Robert can now know that Michael can know that Robert is thirsty. | internal | 1 | 4 | not_entailment | [
"Michael",
"Jeannine",
"Donna",
"Robert"
] | 54,341 | internal-0 | 0 | 0.993468 | 0.006532 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sandy's card is shown to Sandy. Curtis's card is shown to Lauren. It is publicly announced that someone picked a red card. It is publicly announced that Sandy picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! 2 ] (Agenta knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! 2 ] 0 | Curtis can now know that Sandy picked a red card. | explicit | 0 | 3 | entailment | [
"Curtis",
"Sandy",
"Lauren"
] | 14,704 | explicit-1 | 1 | 0.663376 | 0.336624 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Michael. Michael's card is shown to Paul. It is publicly announced that someone picked a red card. It is publicly announced that Paul does not know whether Paul picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] (Agenta knows that (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] 0 | Michael can now know that someone picked a red card. | explicit | 0 | 2 | entailment | [
"Michael",
"Paul"
] | 9,464 | explicit-1 | 1 | 0.999773 | 0.000227 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Larry 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)) ] (Agentd knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Vicki can now know whether Richard's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Jack",
"Richard",
"Larry",
"Vicki"
] | 8,117 | forehead-1 | 1 | 0.999465 | 0.000535 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Sharon does not know whether Sharon's forehead is muddy. It is publicly announced that Joey's forehead is muddy. It is publicly announced that Leonard 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 4) ] [ ! 1 ] [ ! (Agentb knows whether (1&2&3&4)) ] (Agentc knows that (~(1|2|3|4))) | 3 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! 1 ] [ ! (Agentb knows whether (1&2&3&4)) ] 0 | Billy can now know that nobody's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Joey",
"Leonard",
"Billy",
"Sharon"
] | 31,458 | forehead-0 | 0 | 0.998169 | 0.001831 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Erika's card is shown to Erika. Bessie's card is shown to Erika. Erika's card is shown to Michael. Michael's card is shown to Michael. Thomas's card is shown to Thomas. Bessie's card is shown to Thomas. Erika's card is shown to Bessie. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,2 Agentc:3,4 Agentd:1 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:1,4 Agentb:1,2 Agentc:3,4 Agentd:1 VALID? [ ! (1|2|3|4) ] 0 | Erika can now know that Michael can know whether or not nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Erika",
"Michael",
"Thomas",
"Bessie"
] | 3,255 | explicit-1 | 1 | 0.999716 | 0.000284 |
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 Timothy's forehead is not muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! (1|2) ] Agenta knows that (Agentb knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! (1|2) ] 0 | Gertrude can now know that Timothy can know whether Timothy's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Gertrude",
"Timothy"
] | 30,488 | forehead_mirror-1 | 1 | 0.999693 | 0.000307 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Arthur knows whether Judy'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 4) ] Agentd knows that (Agentb knows that 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 4) ] 0 | Judy can now know that Dewayne can know that Mildred's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Mildred",
"Dewayne",
"Arthur",
"Judy"
] | 36,874 | forehead-0 | 0 | 0.998534 | 0.001466 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. It is publicly announced that Regina knows whether Kim's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether 2) ] [ ! (1&2) ] Agenta knows that (Agentb knows whether (1|2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether 2) ] [ ! (1&2) ] 0 | Regina can now know that Kim can know whether someone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Regina",
"Kim"
] | 15,819 | forehead_mirror-1 | 1 | 0.999778 | 0.000222 |
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 (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) ] [ ! (~(1&2&3)) ] 0 | Stella can now know that Donna can know that Donna's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Stella",
"Todd",
"Donna"
] | 57,816 | forehead-0 | 0 | 0.996295 | 0.003705 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentd knows that (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Glenn can now know that Lessie can know that everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Diane",
"Glenn",
"Derek",
"Lessie"
] | 33,368 | internal-0 | 0 | 0.998342 | 0.001658 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jimmie's card is shown to Jimmie. Larry's card is shown to Larry. It is publicly announced that someone picked a red card. It is publicly announced that Larry does not know whether or not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] Agentb knows whether (Agenta knows that (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] 0 | Larry can now know whether Jimmie can know that someone picked a red card. | explicit | 1 | 2 | entailment | [
"Jimmie",
"Larry"
] | 9,169 | explicit-1 | 1 | 0.999771 | 0.000229 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joan's card is shown to Joan. Barbara's card is shown to Barbara. It is publicly announced that someone picked a red card. It is publicly announced that Barbara does not know whether Joan picked a red card. It is publicly announced that Joan picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! 1 ] (Agenta knows whether 2) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! 1 ] 0 | Joan can now know whether Barbara picked a red card. | explicit | 0 | 2 | entailment | [
"Joan",
"Barbara"
] | 49,794 | explicit-1 | 0 | 0.631708 | 1.631708 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Audrey's card is shown to Audrey. Charlotte's card is shown to Howard. Earl's card is shown to Earl. It is publicly announced that someone picked a red card. It is publicly announced that Charlotte does not know whether or not everyone picked a red card. It is publicly announced that Earl picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! 4 ] (Agenta knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! 4 ] 0 | Audrey can now know that Charlotte picked a red card. | explicit | 0 | 4 | entailment | [
"Audrey",
"Charlotte",
"Howard",
"Earl"
] | 9,930 | explicit-1 | 0 | 0.602855 | 1.602855 |
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 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 | Charles can now know that someone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"Charles",
"Stephanie",
"Margaret",
"Mattie"
] | 29,108 | forehead_mirror-1 | 1 | 0.999771 | 0.000229 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Judith's card is shown to Ronald. Anthony's card is shown to Ronald. Ronald's card is shown to Judith. Anthony's card is shown to Judith. Ronald's card is shown to Anthony. It is publicly announced that someone picked a red card. It is publicly announced that Anthony knows whether or not everyone picked a red card. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! (1|2|3) ] Agentb knows that (Agentc knows whether 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! (1|2|3) ] 0 | Judith can now know that Anthony can know whether Judith picked a red card. | explicit | 1 | 3 | not_entailment | [
"Ronald",
"Judith",
"Anthony"
] | 51,751 | explicit-0 | 1 | 0.850596 | 1.850596 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary does not know whether Courtney 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) ] Agentb knows that (Agentd knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0 | Mary can now know that Courtney can know whether or not everyone is thirsty. | internal | 1 | 4 | not_entailment | [
"Joseph",
"Mary",
"Daniel",
"Courtney"
] | 39,718 | internal-0 | 0 | 0.985254 | 0.014746 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Robert. Robert's card is shown to Elaine. It is publicly announced that someone picked a red card. It is publicly announced that Elaine does not know whether Elaine picked a red card. It is publicly announced that Elaine knows whether or not nobody picked a red card. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (1|2) ] Agentb knows that (Agenta knows whether (1&2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (1|2) ] 0 | Elaine can now know that Robert can know whether or not everyone picked a red card. | explicit | 1 | 2 | not_entailment | [
"Robert",
"Elaine"
] | 15,844 | explicit-0 | 0 | 0.887214 | 0.112786 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda does not know whether Jessie 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 (Agentb knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0 | Linda can now know that Charles can know whether Linda is thirsty. | internal | 1 | 3 | not_entailment | [
"Linda",
"Charles",
"Jessie"
] | 31,811 | internal-0 | 0 | 0.948555 | 0.051445 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] Agentb knows whether (Agentc knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Steven can now know whether Daniel can know whether Glenn's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Glenn",
"Steven",
"Daniel"
] | 59,989 | forehead_mirror-1 | 1 | 0.999717 | 0.000283 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Helen does not know whether Jerry is thirsty. It is publicly announced that Helen 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 3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows that (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Thomas can now know that everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Helen",
"Thomas",
"Jerry"
] | 47,759 | internal-0 | 0 | 0.996108 | 0.003892 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Daniel's card is shown to Daniel. Cecil's card is shown to Therese. Daniel's card is shown to Cecil. It is publicly announced that someone picked a red card. It is publicly announced that Daniel does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentb knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Therese can now know that Elizabeth picked a red card. | explicit | 0 | 4 | not_entailment | [
"Daniel",
"Therese",
"Cecil",
"Elizabeth"
] | 24,613 | explicit-0 | 0 | 0.79798 | 0.20202 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kenny's card is shown to Anna. Kenny's card is shown to Kenny. It is publicly announced that someone picked a red card. It is publicly announced that Anna does not know whether or not everyone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] Agentb knows whether (Agenta knows whether (1&2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0 | Kenny can now know whether Anna can know whether or not everyone picked a red card. | explicit | 1 | 2 | entailment | [
"Anna",
"Kenny"
] | 9,344 | explicit-1 | 1 | 0.975032 | 0.024968 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joan's card is shown to Joan. Steven's card is shown to Steven. Joan's card is shown to Neal. Steven's card is shown to Neal. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] (Agentb knows that 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Steven can now know that Joan picked a red card. | explicit | 0 | 3 | not_entailment | [
"Joan",
"Steven",
"Neal"
] | 36,445 | explicit-0 | 0 | 0.998001 | 0.001999 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Susan does not know whether Anna 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 whether 1) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0 | Claudia can now know whether Paul can know whether Anna is thirsty. | internal | 1 | 4 | entailment | [
"Anna",
"Claudia",
"Susan",
"Paul"
] | 8,235 | internal-1 | 1 | 0.999157 | 0.000843 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda knows whether someone is thirsty. It is publicly announced that Nicole is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! 3 ] Agenta knows that (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) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! 3 ] 0 | Marc can now know that Linda can know that nobody is thirsty. | internal | 1 | 3 | not_entailment | [
"Marc",
"Linda",
"Nicole"
] | 58,068 | internal-0 | 0 | 0.998437 | 0.001563 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kathleen'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 ] (Agentc knows whether 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] 0 | Tina can now know whether Michael's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Kathleen",
"Michael",
"Tina",
"Alice"
] | 29,964 | forehead-1 | 1 | 0.999524 | 0.000476 |
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 Jason knows whether or not nobody's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] (Agenta knows whether 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0 | Larry can now know whether Larry's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Larry",
"Jason"
] | 51,248 | forehead_mirror-1 | 1 | 0.998917 | 0.001083 |
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)) ] Agenta knows that (Agentb knows whether (~(1|2))) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0 | William can now know that Betty can know whether or not nobody's forehead is muddy. | forehead | 1 | 2 | entailment | [
"William",
"Betty"
] | 30,260 | forehead-1 | 1 | 0.99973 | 0.00027 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Janice 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)) ] Agenta knows that (Agentb knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] 0 | Hipolito can now know that Estelle can know whether Claire is thirsty. | internal | 1 | 4 | not_entailment | [
"Hipolito",
"Estelle",
"Claire",
"Janice"
] | 67,612 | internal-0 | 0 | 0.997525 | 0.002475 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Richard's card is shown to Richard. Abigail's card is shown to Abigail. Julie's card is shown to Julie. It is publicly announced that someone picked a red card. It is publicly announced that Julie picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 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) ] [ ! 3 ] 0 | Abigail can now know whether Julie can know whether someone picked a red card. | explicit | 1 | 3 | entailment | [
"Richard",
"Abigail",
"Julie"
] | 29,766 | explicit-1 | 1 | 0.999777 | 0.000223 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Leonard is not thirsty. It is publicly announced that Leonard does not know whether Haywood is thirsty. It is publicly announced that Dennis does not know whether Cody is thirsty. It is publicly announced that Dennis does not know whether Cody is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] Agentb knows whether (Agentd knows whether 3) | 4 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] 0 | Haywood can now know whether Cody can know whether Leonard is thirsty. | internal | 1 | 4 | entailment | [
"Dennis",
"Haywood",
"Leonard",
"Cody"
] | 55,535 | internal-1 | 1 | 0.998249 | 0.001751 |
There are four persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that James'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) ] Agentd knows whether (Agenta knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0 | James can now know whether Helen can know that nobody's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Helen",
"Betty",
"Robt",
"James"
] | 12,382 | forehead_mirror-1 | 1 | 0.999723 | 0.000277 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] Agenta knows whether (Agentb knows whether (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0 | Blanca can now know whether Michael can know whether someone's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"Blanca",
"Michael"
] | 33,393 | forehead_mirror-1 | 1 | 0.99976 | 0.00024 |