premise
stringlengths 104
712
| smcdel_problem
stringlengths 72
285
| n_announcements
int64 0
4
| pbcheck
stringlengths 52
245
| hypothesis
stringlengths 37
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| setup
stringclasses 4
values | hypothesis_depth
int64 0
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| n_agents
int64 2
4
| label
stringclasses 2
values | names
sequencelengths 2
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| 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's forehead is muddy. It is publicly announced that Bill knows whether someone's forehead is muddy. It is publicly announced that Kerri's forehead is muddy. It is publicly announced that Mindy knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! 3 ] [ ! (Agentb knows whether (1|2|3)) ] Agentb knows whether (Agenta knows whether 1) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! 3 ] [ ! (Agentb knows whether (1|2|3)) ] 0 | Mindy can now know whether Bill can know whether Bill's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Bill",
"Mindy",
"Kerri"
] | 8,319 | forehead-1 | 0 | 0.937003 | 1.937003 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Brett does not know whether or not everyone's forehead is muddy. It is publicly announced that Rosalyn'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 that (~(1|2))) | 2 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! 2 ] 0 | Brett can now know that nobody's forehead is muddy. | forehead | 0 | 2 | not_entailment | [
"Brett",
"Rosalyn"
] | 12,795 | forehead-0 | 0 | 0.999012 | 0.000988 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Kurt knows whether someone's forehead is muddy. It is publicly announced that Kurt'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) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(1) ] Agentc knows that (Agentb knows that (1|2|3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(1) ] 0 | Patrick can now know that Carolyn can know that someone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Kurt",
"Carolyn",
"Patrick"
] | 27,532 | forehead-1 | 1 | 0.999477 | 0.000523 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Andrew knows whether Andrew'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) ] (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 3) ] 0 | Gary can now know that Vera's forehead is muddy. | forehead | 0 | 4 | not_entailment | [
"Vera",
"Gary",
"Andrew",
"Joan"
] | 37,638 | forehead-0 | 0 | 0.99658 | 0.00342 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lawrence's card is shown to Linda. Linda's card is shown to Linda. Patricia's card is shown to Linda. Arnold's card is shown to Patricia. It is publicly announced that someone picked a red card. It is publicly announced that Arnold does not know whether Linda picked a red card. It is publicly announced that Patricia picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! 4 ] (Agentb knows that 1) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! 4 ] 0 | Arnold can now know that Lawrence picked a red card. | explicit | 0 | 4 | not_entailment | [
"Lawrence",
"Arnold",
"Linda",
"Patricia"
] | 3,108 | explicit-0 | 0 | 0.989856 | 0.010144 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Heidi knows whether someone is thirsty. It is publicly announced that Virginia does not know whether Kelly is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agenta knows whether 3) ] (Agentc knows that (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agenta knows whether 3) ] 0 | Kelly can now know that everyone is thirsty. | internal | 0 | 3 | not_entailment | [
"Virginia",
"Heidi",
"Kelly"
] | 60,744 | internal-0 | 0 | 0.999006 | 0.000994 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Brian knows whether Douglas's forehead is muddy. It is publicly announced that Brian's forehead is not muddy. It is publicly announced that Nancy knows whether 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 2) ] [ ! ~(4) ] [ ! (Agenta knows whether (1|2|3|4)) ] Agentb knows that (Agenta 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 2) ] [ ! ~(4) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0 | Douglas can now know that Nancy can know that everyone's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Nancy",
"Douglas",
"Rickie",
"Brian"
] | 63,349 | forehead-0 | 0 | 0.998817 | 0.001183 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jessica's card is shown to Jessica. Florence's card is shown to Jessica. Jessica's card is shown to Olga. Jessica's card is shown to Florence. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] Agentc knows whether (Agentb knows whether 1) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0 | Florence can now know whether Olga can know whether Jessica picked a red card. | explicit | 1 | 3 | entailment | [
"Jessica",
"Olga",
"Florence"
] | 27,296 | explicit-1 | 1 | 0.998914 | 0.001086 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ivette's card is shown to Howard. Jeanne's card is shown to Howard. Howard's card is shown to Ivette. Ivette's card is shown to Ivette. Steven's card is shown to Jeanne. It is publicly announced that someone picked a red card. It is publicly announced that Ivette does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agentc knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0 | Ivette can now know whether Ivette picked a red card. | explicit | 0 | 4 | not_entailment | [
"Howard",
"Steven",
"Ivette",
"Jeanne"
] | 52,908 | explicit-0 | 1 | 0.935625 | 1.935625 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Timothy's card is shown to Juanita. Timothy's card is shown to Timothy. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] Agentb knows whether (Agenta knows that (1&2)) | 0 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] 0 | Timothy can now know whether Juanita can know that everyone picked a red card. | explicit | 1 | 2 | entailment | [
"Juanita",
"Timothy"
] | 41,895 | explicit-1 | 1 | 0.995251 | 0.004749 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Juana's card is shown to Linda. Linda's card is shown to Juana. Juana's card is shown to Juana. Juana's card is shown to Beatrice. It is publicly announced that someone picked a red card. It is publicly announced that Linda does not know whether Beatrice picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Beatrice knows whether someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1|2|3)) ] Agentc knows whether (Agentb knows that (1&2&3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether (1|2|3)) ] 0 | Beatrice can now know whether Juana can know that everyone picked a red card. | explicit | 1 | 3 | entailment | [
"Linda",
"Juana",
"Beatrice"
] | 35,332 | explicit-1 | 1 | 0.993984 | 0.006016 |
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 Martin knows whether or not nobody's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (~(1&2)) ] Agenta knows that (Agentb knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (~(1&2)) ] 0 | Martin can now know that Kenneth can know that Martin's forehead is muddy. | forehead_mirror | 1 | 2 | not_entailment | [
"Martin",
"Kenneth"
] | 26,159 | forehead_mirror-0 | 0 | 0.991967 | 0.008033 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Irving knows whether Irving is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! (1|2) ] [ ! (1|2) ] (Agenta knows whether (1|2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! (1|2) ] [ ! (1|2) ] 0 | Harry can now know whether someone is thirsty. | internal | 0 | 2 | entailment | [
"Harry",
"Irving"
] | 5,980 | internal-1 | 1 | 0.99948 | 0.00052 |
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 Cammie's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (~(1&2&3&4)) ] Agenta knows whether (Agentd knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (~(1&2&3&4)) ] 0 | Jane can now know whether Ashley can know that Kimberly's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Jane",
"Kimberly",
"Cammie",
"Ashley"
] | 41,347 | forehead_mirror-1 | 1 | 0.999326 | 0.000674 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mildred does not know whether Deborah is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] Agentc knows whether (Agenta knows that 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] 0 | Christopher can now know whether Deborah can know that Deborah is thirsty. | internal | 1 | 3 | not_entailment | [
"Deborah",
"Mildred",
"Christopher"
] | 30,924 | internal-0 | 1 | 0.946533 | 1.946533 |
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 John'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 ] (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 ] 0 | John can now know that someone's forehead is muddy. | forehead_mirror | 0 | 4 | entailment | [
"John",
"Kevin",
"Leslie",
"Katherine"
] | 66,122 | forehead_mirror-1 | 1 | 0.999449 | 0.000551 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Alice knows whether Jason'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 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 3) ] 0 | Jason can now know that Jason's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Alice",
"Victoria",
"Jason"
] | 36,886 | forehead-0 | 0 | 0.97004 | 0.02996 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carrol's card is shown to Carly. Carly's card is shown to Carrol. Carrol's card is shown to Carrol. Glenn's card is shown to Carrol. Glenn's card is shown to Glenn. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows whether (Agenta knows that (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] 0 | Glenn can now know whether Carly can know that nobody picked a red card. | explicit | 1 | 3 | entailment | [
"Carly",
"Carrol",
"Glenn"
] | 60,533 | explicit-1 | 1 | 0.999128 | 0.000872 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John knows whether or not nobody's forehead is muddy. It is publicly announced that Melissa does not know whether or not everyone's forehead is muddy. It is publicly announced that Melissa's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 2 ] Agentb knows that (Agenta knows whether (1&2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 2 ] 0 | Melissa can now know that John can know whether or not everyone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"John",
"Melissa"
] | 66,274 | forehead-1 | 1 | 0.91916 | 0.08084 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Enrique's card is shown to Enrique. Alexandra's card is shown to Enrique. Enrique's card is shown to Alexandra. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3|4) ] (Agenta knows that (1&2&3&4)) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3|4) ] 0 | Stewart can now know that everyone picked a red card. | explicit | 0 | 4 | not_entailment | [
"Stewart",
"Enrique",
"Alexandra",
"Chris"
] | 39,892 | explicit-0 | 0 | 0.998995 | 0.001005 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Evelyn does not know whether Joseph is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] Agentc knows whether (Agentb knows that 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 | Evelyn can now know whether Mary can know that Evelyn is thirsty. | internal | 1 | 3 | entailment | [
"Joseph",
"Mary",
"Evelyn"
] | 13,737 | internal-1 | 1 | 0.955007 | 0.044993 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marlene's card is shown to Bernie. Stacie's card is shown to Stacie. Bernie's card is shown to Craig. Marlene's card is shown to Marlene. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agentb knows that 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 Agentd:4 VALID? [ ! (1|2|3|4) ] 0 | Stacie can now know that Stacie picked a red card. | explicit | 0 | 4 | not_entailment | [
"Bernie",
"Stacie",
"Craig",
"Marlene"
] | 13,048 | explicit-0 | 0 | 0.993674 | 0.006326 |
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 Thomas. Thomas's card is shown to Thomas. It is publicly announced that someone picked a red card. It is publicly announced that Thomas knows whether someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] Agenta knows whether (Agentb knows that 1) | 1 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] 0 | Gary can now know whether Thomas can know that Gary picked a red card. | explicit | 1 | 2 | entailment | [
"Gary",
"Thomas"
] | 23,567 | explicit-1 | 1 | 0.936922 | 0.063078 |
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 Violet's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] (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) ] [ ! 3 ] 0 | Joyce can now know that Richard's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Joyce",
"Richard",
"Violet"
] | 43,929 | forehead_mirror-0 | 0 | 0.996025 | 0.003975 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kevin's card is shown to Rodney. Rodney's card is shown to Kevin. It is publicly announced that someone picked a red card. It is publicly announced that Richard does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentb knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Richard can now know that everyone picked a red card. | explicit | 0 | 3 | not_entailment | [
"Rodney",
"Richard",
"Kevin"
] | 63,070 | explicit-0 | 0 | 0.998386 | 0.001614 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kenneth's card is shown to Kevin. Kenneth's card is shown to Meredith. Meredith's card is shown to Meredith. Dolores's card is shown to Meredith. Dolores's card is shown to Dolores. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,3,4 Agentc:4 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:2 Agentb:2,3,4 Agentc:4 VALID? [ ! (1|2|3|4) ] 0 | Kevin can now know whether Meredith can know whether or not nobody picked a red card. | explicit | 1 | 4 | entailment | [
"Kevin",
"Kenneth",
"Meredith",
"Dolores"
] | 20,369 | explicit-1 | 1 | 0.999382 | 0.000618 |
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 Eva knows whether Beulah'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) ] Agentb knows whether (Agenta knows whether 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] 0 | Beulah can now know whether Michael can know whether Michael's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Michael",
"Beulah",
"Eva"
] | 31,349 | forehead_mirror-1 | 1 | 0.999381 | 0.000619 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sonya's card is shown to Frank. Frank's card is shown to Sonya. Timothy's card is shown to Sonya. Patricia's card is shown to Timothy. It is publicly announced that someone picked a red card. It is publicly announced that Patricia does not know whether Frank picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] (Agenta knows that (~(1|2|3|4))) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0 | Frank can now know that nobody picked a red card. | explicit | 0 | 4 | not_entailment | [
"Frank",
"Sonya",
"Patricia",
"Timothy"
] | 11,816 | explicit-0 | 0 | 0.998994 | 0.001006 |
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 Teresa'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 ] (Agenta knows whether 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 | Teresa can now know whether Krista's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Teresa",
"Richard",
"Krista"
] | 16,190 | forehead_mirror-1 | 1 | 0.999476 | 0.000524 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Leroy's forehead is not muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(3) ] (Agenta 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) ] [ ! (1|2|3) ] [ ! ~(3) ] 0 | Denise can now know that Leroy's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Denise",
"John",
"Leroy"
] | 41,734 | forehead_mirror-0 | 0 | 0.993672 | 0.006328 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Juan'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) ] Agentc knows that (Agentb knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0 | Frank can now know that Thomas can know that Frank's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Eula",
"Thomas",
"Frank",
"Juan"
] | 24,246 | forehead-0 | 0 | 0.998007 | 0.001993 |
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 Sara knows whether someone's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether (1|2)) ] (Agentb knows whether (1|2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether (1|2)) ] 0 | Virginia can now know whether someone's forehead is muddy. | forehead_mirror | 0 | 2 | entailment | [
"Sara",
"Virginia"
] | 630 | forehead_mirror-1 | 1 | 0.999424 | 0.000576 |
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 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) ] [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (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) ] [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0 | Gerald can now know whether Joseph is thirsty. | internal | 0 | 4 | not_entailment | [
"Joseph",
"Gerald",
"Pauline",
"Terrell"
] | 47,643 | internal-0 | 0 | 0.996936 | 0.003064 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Shante's card is shown to Oscar. Oscar's card is shown to Janice. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 VALID? [ ! (1|2|3|4) ] (Agentb knows that 1) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 VALID? [ ! (1|2|3|4) ] 0 | Oscar can now know that Earlene picked a red card. | explicit | 0 | 4 | not_entailment | [
"Earlene",
"Oscar",
"Janice",
"Shante"
] | 55,809 | explicit-0 | 0 | 0.998068 | 0.001932 |
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 Mildred knows whether someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] (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) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Julie can now know that Mildred's forehead is muddy. | forehead_mirror | 0 | 4 | not_entailment | [
"Maxine",
"Mildred",
"Julie",
"John"
] | 40,206 | forehead_mirror-0 | 0 | 0.998081 | 0.001919 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alfredo is thirsty. It is publicly announced that Edna 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) ] [ ! 2 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentc knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Toni can now know whether Ruth is thirsty. | internal | 0 | 4 | not_entailment | [
"Edna",
"Alfredo",
"Toni",
"Ruth"
] | 13,913 | internal-0 | 0 | 0.98764 | 0.01236 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Roy's card is shown to Rose. Rose's card is shown to Roy. Francis's card is shown to Francis. It is publicly announced that someone picked a red card. It is publicly announced that Francis picked a black card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] Agentc knows that (Agenta knows whether 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0 | Roy can now know that Rose can know whether Roy picked a red card. | explicit | 1 | 4 | entailment | [
"Rose",
"Michael",
"Roy",
"Francis"
] | 22,860 | explicit-1 | 0 | 0.793557 | 1.793557 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lacey's card is shown to Joseph. Lacey's card is shown to Roseanne. Keith's card is shown to Roseanne. Keith's card is shown to Lacey. Roseanne's card is shown to Keith. Keith's card is shown to Keith. It is publicly announced that someone picked a red card. It is publicly announced that Keith does not know whether Lacey picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] Agentc knows whether (Agentb knows that 3) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0 | Lacey can now know whether Roseanne can know that Lacey picked a red card. | explicit | 1 | 4 | not_entailment | [
"Joseph",
"Roseanne",
"Lacey",
"Keith"
] | 64,845 | explicit-0 | 1 | 0.805571 | 1.805571 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lloyd is thirsty. It is publicly announced that Edwin knows whether or not nobody is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (Agenta knows whether (~(1|2|3|4))) ] Agentd knows that (Agentb 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) ] [ ! 3 ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0 | Russell can now know that Raymond can know whether or not nobody is thirsty. | internal | 1 | 4 | entailment | [
"Edwin",
"Raymond",
"Lloyd",
"Russell"
] | 12,176 | internal-1 | 1 | 0.99941 | 0.00059 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that Thomas knows whether Lisa'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 3) ] (Agentb knows whether 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 3) ] 0 | Norine can now know whether Lisa's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Thomas",
"Norine",
"Lisa"
] | 57,032 | forehead_mirror-1 | 1 | 0.999445 | 0.000555 |
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 Lester knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] Agentc knows that (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) ] [ ! (Agenta knows whether (1&2&3)) ] 0 | Lynda can now know that Lester can know that Jay's forehead is muddy. | forehead_mirror | 1 | 3 | not_entailment | [
"Lester",
"Jay",
"Lynda"
] | 59,739 | forehead_mirror-0 | 0 | 0.997439 | 0.002561 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Crystal's card is shown to Erica. Aleida's card is shown to Crystal. Linda's card is shown to Linda. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows whether 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] 0 | Aleida can now know that Crystal can know whether Crystal picked a red card. | explicit | 1 | 4 | not_entailment | [
"Erica",
"Crystal",
"Aleida",
"Linda"
] | 21,745 | explicit-0 | 0 | 0.547936 | 0.452064 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Corinne does not know whether Corinne's forehead is muddy. It is publicly announced that Corinne knows whether or not everyone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agentc knows whether (1&2&3)) ] Agenta knows whether (Agentc knows whether 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 | Jennifer can now know whether Corinne can know whether Corinne's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Jennifer",
"Gretchen",
"Corinne"
] | 66,128 | forehead-1 | 1 | 0.972759 | 0.027241 |
There are three 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. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentb knows that (Agenta knows whether (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0 | Mary can now know that Christina can know whether or not everyone's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Christina",
"Mary",
"Andra"
] | 61,549 | forehead-1 | 1 | 0.528442 | 0.471558 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Hassan is not thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] (Agentc knows that 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0 | Hassan can now know that Cory is thirsty. | internal | 0 | 3 | not_entailment | [
"Cory",
"John",
"Hassan"
] | 3,489 | internal-0 | 0 | 0.99585 | 0.00415 |
There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tabitha's card is shown to Robert. Tabitha's card is shown to Tabitha. It is publicly announced that someone picked a red card. | VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] Agentb knows whether (Agenta knows that (1|2)) | 0 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] 0 | Tabitha can now know whether Robert can know that someone picked a red card. | explicit | 1 | 2 | entailment | [
"Robert",
"Tabitha"
] | 43,368 | explicit-1 | 1 | 0.999413 | 0.000587 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Tracey does not know whether or not everyone's forehead is muddy. It is publicly announced that Jeremy knows whether Tracey's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentb knows whether 1) ] Agenta knows that (Agentd 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) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentb knows whether 1) ] 0 | Tracey can now know that Maria can know that Maria's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Tracey",
"Jeremy",
"Karen",
"Maria"
] | 1,466 | forehead-1 | 1 | 0.639301 | 0.360699 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Jon does not know whether or not everyone's forehead is muddy. It is publicly announced that everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (1&2&3) ] [ ! (1|2|3) ] (Agentc knows that (1|2|3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (1&2&3) ] [ ! (1|2|3) ] 0 | Sharon can now know that someone's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Jon",
"Ashley",
"Sharon"
] | 53,252 | forehead-1 | 1 | 0.999481 | 0.000519 |
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'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) ] Agentc knows that (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 | Bernard can now know that Pearlie can know that someone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Pearlie",
"Malcolm",
"Bernard",
"Robert"
] | 4,069 | forehead_mirror-1 | 1 | 0.999379 | 0.000621 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lynette does not know whether Alicia 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 that (Agentc knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] 0 | Lynette can now know that Ronald can know whether James is thirsty. | internal | 1 | 4 | not_entailment | [
"Lynette",
"Alicia",
"Ronald",
"James"
] | 5,519 | internal-0 | 0 | 0.998359 | 0.001641 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Rose does not know whether Rose's forehead is muddy. It is publicly announced that Rose does not know whether Rose'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 (Agentb 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 | Rose can now know that Nick can know whether or not everyone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"Rose",
"Nick"
] | 11,810 | forehead-1 | 0 | 0.96579 | 1.96579 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Carrie does not know whether or not everyone is thirsty. It is publicly announced that not everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (~(1&2)) ] Agentb knows whether (Agenta knows whether (1|2)) | 3 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (~(1&2)) ] 0 | Martin can now know whether Carrie can know whether someone is thirsty. | internal | 1 | 2 | entailment | [
"Carrie",
"Martin"
] | 14,710 | internal-1 | 1 | 0.999438 | 0.000562 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elaine knows whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agenta knows that (Agentd knows whether 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Elaine can now know that Judith can know whether Judith is thirsty. | internal | 1 | 4 | entailment | [
"Elaine",
"Florence",
"Silvana",
"Judith"
] | 32,234 | internal-1 | 1 | 0.950676 | 0.049324 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Lizette's forehead is not muddy. It is publicly announced that Lee knows whether or not everyone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! (Agentd knows whether (1&2&3&4)) ] (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) ] [ ! ~(3) ] [ ! (Agentd knows whether (1&2&3&4)) ] 0 | Lee can now know whether someone's forehead is muddy. | forehead | 0 | 4 | entailment | [
"Sofia",
"David",
"Lizette",
"Lee"
] | 28,494 | forehead-1 | 1 | 0.999495 | 0.000505 |
There are four persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentd knows that 3) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,3,4 Agentc:1,2,4 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] 0 | Robert can now know that Edward can know that Brunilda's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Robert",
"William",
"Brunilda",
"Edward"
] | 5,583 | forehead-0 | 0 | 0.995679 | 0.004321 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lyda's card is shown to Craig. Lyda's card is shown to Lyda. Richard's card is shown to Lyda. Craig's card is shown to Bruce. Bruce's card is shown to Bruce. Craig'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:2,4 Agentc:1,3 Agentd:1 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,4 Agentc:1,3 Agentd:1 VALID? [ ! (1|2|3|4) ] 0 | Bruce can now know whether Richard picked a red card. | explicit | 0 | 4 | not_entailment | [
"Craig",
"Lyda",
"Bruce",
"Richard"
] | 55,539 | explicit-0 | 0 | 0.90194 | 0.09806 |
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) ] Agentb knows that (Agentc knows whether 2) | 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 | Wilmer can now know that Jacob can know whether Wilmer's forehead is muddy. | forehead | 1 | 4 | entailment | [
"Clark",
"Wilmer",
"Jacob",
"Melissa"
] | 29,343 | forehead-1 | 1 | 0.882323 | 0.117677 |
There are three persons. Everyone is visible to others. 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) ] Agenta knows whether (Agentc knows whether 2) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Ron can now know whether Rita can know whether Gerard's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Ron",
"Gerard",
"Rita"
] | 65,746 | forehead-1 | 1 | 0.99921 | 0.00079 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rebecca's card is shown to Rebecca. Rebecca's card is shown to Thomas. Thomas's card is shown to Thomas. Casey's card is shown to Thomas. Thomas's card is shown to Casey. Thomas's card is shown to James. James's card is shown to James. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:2 Agentd:2,4 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agentb knows whether 2) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:2 Agentd:2,4 VALID? [ ! (1|2|3|4) ] 0 | James can now know that Thomas can know whether Thomas picked a red card. | explicit | 1 | 4 | entailment | [
"Rebecca",
"Thomas",
"Casey",
"James"
] | 18,237 | explicit-1 | 1 | 0.84632 | 0.15368 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anthony's card is shown to Lettie. George's card is shown to Louis. Lettie's card is shown to George. Louis's card is shown to George. George's card is shown to George. It is publicly announced that someone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2,3,4 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows whether 4) | 0 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2,3,4 VALID? [ ! (1|2|3|4) ] 0 | Louis can now know that Lettie can know whether George picked a red card. | explicit | 1 | 4 | entailment | [
"Anthony",
"Lettie",
"Louis",
"George"
] | 56,976 | explicit-1 | 1 | 0.921133 | 0.078867 |
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) ] Agentc knows that (Agentb knows that 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0 | Stephen can now know that Michael can know that Rosa's forehead is muddy. | forehead_mirror | 1 | 3 | entailment | [
"Rosa",
"Michael",
"Stephen"
] | 9,470 | forehead_mirror-1 | 1 | 0.996523 | 0.003477 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lakeisha's card is shown to Lakeisha. Betty's card is shown to Lakeisha. Frances's card is shown to Lakeisha. Lakeisha's card is shown to Betty. Betty's card is shown to Frances. Frances's card is shown to Debi. It is publicly announced that someone picked a red card. It is publicly announced that Betty does not know whether Betty picked a red card. It is publicly announced that Betty does not know whether Betty picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1 Agentc:2 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether 2) ] Agentb knows whether (Agentc knows whether 4) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1 Agentc:2 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether 2) ] 0 | Betty can now know whether Frances can know whether Debi picked a red card. | explicit | 1 | 4 | entailment | [
"Lakeisha",
"Betty",
"Frances",
"Debi"
] | 9,865 | explicit-1 | 1 | 0.998597 | 0.001403 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jacqueline does not know whether Lindsey is thirsty. It is publicly announced that Jacqueline does not know whether Barbara 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) ] [ ! ~(Agentd knows whether 3) ] Agenta knows whether (Agentc knows that 2) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentd knows whether 3) ] 0 | Lindsey can now know whether Barbara can know that James is thirsty. | internal | 1 | 4 | entailment | [
"Lindsey",
"James",
"Barbara",
"Jacqueline"
] | 50,960 | internal-1 | 1 | 0.994823 | 0.005177 |
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 Roger. Roger's card is shown to Roger. Melanie's card is shown to Roger. Mary's card is shown to Melanie. Roger's card is shown to Melanie. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] (Agentb knows whether (~(1|2|3))) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0 | Roger can now know whether or not nobody picked a red card. | explicit | 0 | 3 | entailment | [
"Mary",
"Roger",
"Melanie"
] | 25,593 | explicit-1 | 1 | 0.999318 | 0.000682 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eugene's card is shown to Eugene. Michael's card is shown to Eugene. Louis's card is shown to Eugene. Michael's card is shown to Michael. Louis's card is shown to Louis. It is publicly announced that someone picked a red card. It is publicly announced that Michael does not know whether Louis picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agentc knows whether (Agentb knows that 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0 | Louis can now know whether Michael can know that Michael picked a red card. | explicit | 1 | 3 | not_entailment | [
"Eugene",
"Michael",
"Louis"
] | 20,557 | explicit-0 | 1 | 0.873951 | 1.873951 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Judith does not know whether or not everyone's forehead is muddy. It is publicly announced that Ebony knows whether or not nobody'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 whether (~(1|2|3))) ] (Agentb knows that 3) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0 | Tom can now know that Ebony's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Judith",
"Tom",
"Ebony"
] | 46,186 | forehead-1 | 1 | 0.864871 | 0.135129 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Paul knows whether David's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] (Agentb knows that (1&2&3)) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] 0 | David can now know that everyone's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Paul",
"David",
"Joshua"
] | 10,277 | forehead-0 | 0 | 0.999004 | 0.000996 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Matthew does not know whether Rick is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] (Agentc knows 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) ] [ ! ~(Agentd knows whether 1) ] 0 | Patricia can now know that Lorie is thirsty. | internal | 0 | 4 | not_entailment | [
"Rick",
"Lorie",
"Patricia",
"Matthew"
] | 46,240 | internal-0 | 0 | 0.998261 | 0.001739 |
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 Margery knows whether or not everyone's forehead is muddy. It is publicly announced that Michelle's forehead is muddy. It is publicly announced that Max's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! 1 ] [ ! 3 ] (Agentb knows whether (1|2|3)) | 3 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! 1 ] [ ! 3 ] 0 | Margery can now know whether someone's forehead is muddy. | forehead_mirror | 0 | 3 | entailment | [
"Michelle",
"Margery",
"Max"
] | 63,592 | forehead_mirror-1 | 1 | 0.999449 | 0.000551 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jerry's card is shown to Jerry. Darlene's card is shown to Darlene. It is publicly announced that someone picked a red card. It is publicly announced that Jerry does not know whether or not everyone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentb knows that (Agenta knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0 | Darlene can now know that Jerry can know that nobody picked a red card. | explicit | 1 | 3 | not_entailment | [
"Jerry",
"Darlene",
"Frank"
] | 12,340 | explicit-0 | 0 | 0.998936 | 0.001064 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Steven does not know whether Morton is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] Agentb knows whether (Agenta 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 | Steven can now know whether Morton can know that nobody is thirsty. | internal | 1 | 3 | entailment | [
"Morton",
"Steven",
"Crystal"
] | 42,243 | internal-1 | 1 | 0.999258 | 0.000742 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Diana's card is shown to Deborah. Scott's card is shown to Scott. Deborah's card is shown to Diana. Scott's card is shown to Diana. It is publicly announced that someone picked a red card. It is publicly announced that Deborah does not know whether or not everyone picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentb knows that 2) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0 | Bryan can now know that Bryan picked a red card. | explicit | 0 | 4 | not_entailment | [
"Deborah",
"Bryan",
"Scott",
"Diana"
] | 25,242 | explicit-0 | 0 | 0.846608 | 0.153392 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Herbert is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] (Agentd knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] 0 | Leslie can now know that Leslie is thirsty. | internal | 0 | 4 | not_entailment | [
"Julio",
"Dallas",
"Herbert",
"Leslie"
] | 25,638 | internal-0 | 0 | 0.602435 | 0.397565 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Michael knows whether Elizabeth'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) ] (Agenta knows whether (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] 0 | Elizabeth can now know whether or not nobody's forehead is muddy. | forehead | 0 | 3 | entailment | [
"Elizabeth",
"Opal",
"Michael"
] | 39,088 | forehead-1 | 1 | 0.999394 | 0.000606 |
There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Booker knows whether someone is thirsty. It is publicly announced that Willard does not know whether Booker is thirsty. | VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] (Agenta knows whether 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] 0 | Booker can now know whether Willard is thirsty. | internal | 0 | 3 | not_entailment | [
"Booker",
"Willard",
"Matthew"
] | 50,182 | internal-0 | 0 | 0.995434 | 0.004566 |
There are two persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Anthony 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 that (Agenta knows whether (1|2)) | 1 | VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] 0 | Anthony can now know that James can know whether someone's forehead is muddy. | forehead | 1 | 2 | entailment | [
"James",
"Anthony"
] | 5,803 | forehead-1 | 1 | 0.999366 | 0.000634 |
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) ] Agentb knows whether (Agenta 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 | Sherri can now know whether Ronald can know whether Ronald's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"Ronald",
"Sherri",
"Gordon",
"Lula"
] | 26,984 | forehead-0 | 0 | 0.994245 | 0.005755 |
There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Suzanne's card is shown to Danielle. Danielle's card is shown to Suzanne. Suzanne's card is shown to Suzanne. Suzanne's card is shown to Karin. It is publicly announced that someone picked a red card. | VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] (Agenta knows that (1|2|3)) | 0 | VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] 0 | Danielle can now know that someone picked a red card. | explicit | 0 | 3 | entailment | [
"Danielle",
"Suzanne",
"Karin"
] | 40,933 | explicit-1 | 1 | 0.99942 | 0.00058 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that John knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] Agentc knows that (Agentb 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) ] [ ! (Agentc knows whether (1|2|3)) ] 0 | John can now know that Audrey can know that Gloria's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Gloria",
"Audrey",
"John"
] | 42,798 | forehead-0 | 0 | 0.996933 | 0.003067 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Suk does not know whether Delois is thirsty. It is publicly announced that Crystal does not know whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd 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) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | Keesha can now know that Keesha is thirsty. | internal | 0 | 4 | not_entailment | [
"Suk",
"Delois",
"Keesha",
"Crystal"
] | 48,315 | internal-0 | 0 | 0.869264 | 0.130736 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Andrew does not know whether Andrew's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] Agentb knows that (Agentc knows whether 2) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] 0 | Andrew can now know that Lloyd can know whether Andrew's forehead is muddy. | forehead | 1 | 3 | entailment | [
"Clarence",
"Andrew",
"Lloyd"
] | 24,458 | forehead-1 | 1 | 0.994479 | 0.005521 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. It is publicly announced that Heather's forehead is not muddy. It is publicly announced that James knows whether Heather's forehead is muddy. It is publicly announced that Heather knows whether James'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) ] [ ! ~(3) ] [ ! (Agenta knows whether 3) ] [ ! (Agentc knows whether 1) ] Agenta knows that (Agentc knows that 3) | 4 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(3) ] [ ! (Agenta knows whether 3) ] [ ! (Agentc knows whether 1) ] 0 | James can now know that Heather can know that Heather's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"James",
"Leticia",
"Heather"
] | 65,772 | forehead-0 | 0 | 0.970725 | 0.029275 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ronald does not know whether Tracy is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agentb knows that (Agentc 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 3) ] 0 | Bob can now know that Tracy can know whether Tracy is thirsty. | internal | 1 | 4 | entailment | [
"Ronald",
"Bob",
"Tracy",
"Vada"
] | 17,428 | internal-1 | 1 | 0.987759 | 0.012241 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Margaret knows whether or not everyone is thirsty. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentb knows whether (Agentc knows whether (1&2&3&4)) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0 | Karen can now know whether Shelia can know whether or not everyone is thirsty. | internal | 1 | 4 | entailment | [
"Margaret",
"Karen",
"Shelia",
"James"
] | 67,610 | internal-1 | 1 | 0.833634 | 0.166366 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary knows whether Mary is thirsty. It is publicly announced that Harry does not know whether or not everyone is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] (Agenta knows that (1&2)) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] 0 | Harry can now know that everyone is thirsty. | internal | 0 | 2 | not_entailment | [
"Harry",
"Mary"
] | 21,746 | internal-0 | 0 | 0.998532 | 0.001468 |
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 Leanne knows whether Barbara's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] (Agentb knows that (~(1|2|3))) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] 0 | Leanne can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Barbara",
"Leanne",
"Shane"
] | 45,907 | forehead_mirror-0 | 0 | 0.998672 | 0.001328 |
There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Stephen's card is shown to Stephen. Stephen's card is shown to Will. Bertha's card is shown to Will. Will's card is shown to Bertha. Adam's card is shown to Bertha. Will's card is shown to Adam. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Stephen knows whether Stephen picked a red card. | VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:2,4 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (Agenta knows whether 1) ] (Agentb knows that (1|2|3|4)) | 2 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:2,4 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (Agenta knows whether 1) ] 0 | Will can now know that someone picked a red card. | explicit | 0 | 4 | entailment | [
"Stephen",
"Will",
"Bertha",
"Adam"
] | 56,349 | explicit-1 | 1 | 0.999421 | 0.000579 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elsie does not know whether Jenna 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 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) ] [ ! ~(Agentb knows whether 4) ] 0 | Elsie can now know that Jenna can know that Elsie is thirsty. | internal | 1 | 4 | not_entailment | [
"Tracey",
"Elsie",
"Lakisha",
"Jenna"
] | 10,806 | internal-0 | 0 | 0.995472 | 0.004528 |
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 knows whether 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) ] [ ! (Agentb knows whether (1|2|3|4)) ] Agentb knows that (Agenta 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) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0 | Mary can now know that David can know whether David's forehead is muddy. | forehead | 1 | 4 | not_entailment | [
"David",
"Mary",
"William",
"Ana"
] | 56,097 | forehead-0 | 0 | 0.991284 | 0.008716 |
There are two persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that not everyone's forehead is muddy. It is publicly announced that April knows whether April's forehead is muddy. | VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 1) ] Agenta knows whether (Agentb knows that 1) | 2 | VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 1) ] 0 | April can now know whether Eric can know that April's forehead is muddy. | forehead_mirror | 1 | 2 | entailment | [
"April",
"Eric"
] | 54,753 | forehead_mirror-1 | 1 | 0.999311 | 0.000689 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Annie knows whether or not nobody is thirsty. | VARS 1,2 LAW Top OBS Agenta:1 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:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] 0 | Joseph can now know whether Annie can know whether or not everyone is thirsty. | internal | 1 | 2 | not_entailment | [
"Annie",
"Joseph"
] | 32,416 | internal-0 | 0 | 0.934803 | 0.065197 |
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 Mathilda knows whether John'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 2) ] Agentc 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) ] [ ! (Agenta knows whether 2) ] 0 | Ronald can now know that John can know whether or not everyone's forehead is muddy. | forehead_mirror | 1 | 4 | entailment | [
"Mathilda",
"John",
"Ronald",
"Bobby"
] | 41,350 | forehead_mirror-1 | 1 | 0.999114 | 0.000886 |
There are three persons. Everyone is visible to others. There is a mirror in the room. It is publicly announced that someone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | 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) ] (Agentc knows that 1) | 1 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0 | Robert can now know that Walter's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Walter",
"Christopher",
"Robert"
] | 62,093 | forehead_mirror-0 | 0 | 0.998062 | 0.001938 |
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 not everyone's forehead is muddy. It is publicly announced that someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (1|2|3) ] (Agenta knows that (~(1|2|3))) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (1|2|3) ] 0 | Dwayne can now know that nobody's forehead is muddy. | forehead_mirror | 0 | 3 | not_entailment | [
"Dwayne",
"Clara",
"Robert"
] | 59,860 | forehead_mirror-0 | 0 | 0.99892 | 0.00108 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Carline's forehead is not muddy. It is publicly announced that Carline knows whether someone's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2|3)) ] (Agenta knows that 2) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2|3)) ] 0 | Nicholas can now know that Carline's forehead is muddy. | forehead | 0 | 3 | not_entailment | [
"Nicholas",
"Carline",
"Steven"
] | 54,471 | forehead-0 | 0 | 0.994064 | 0.005936 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether Alta is thirsty. It is publicly announced that Duane knows whether someone is thirsty. It is publicly announced that James does not know whether or not everyone is thirsty. It is publicly announced that Joseph 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 3) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentd knows that (Agenta 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) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0 | Joseph can now know that Duane can know whether Alta is thirsty. | internal | 1 | 4 | not_entailment | [
"Duane",
"James",
"Alta",
"Joseph"
] | 66,006 | internal-0 | 0 | 0.993222 | 0.006778 |
There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paul does not know whether or not everyone is thirsty. It is publicly announced that Paul 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)) ] (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 | Paul can now know whether or not everyone is thirsty. | internal | 0 | 2 | not_entailment | [
"Robert",
"Paul"
] | 44,367 | internal-0 | 0 | 0.965812 | 0.034188 |
There are three persons. Everyone is visible to others. It is publicly announced that someone's forehead is muddy. It is publicly announced that Andrea does not know whether Andrea's forehead is muddy. It is publicly announced that Jennifer does not know whether Jennifer's forehead is muddy. | VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentb knows whether 2) ] Agenta knows that (Agentb knows whether (1&2&3)) | 2 | VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentb knows whether 2) ] 0 | Andrea can now know that Jennifer can know whether or not everyone's forehead is muddy. | forehead | 1 | 3 | not_entailment | [
"Andrea",
"Jennifer",
"Mae"
] | 67,634 | forehead-0 | 0 | 0.977289 | 0.022711 |
There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether Mitchell is thirsty. It is publicly announced that Mitchell does not know whether David is thirsty. It is publicly announced that David is thirsty. It is publicly announced that Theodore does not know whether Mitchell 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 1) ] [ ! 1 ] [ ! ~(Agentc knows whether 2) ] (Agentc knows that (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) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] [ ! 1 ] [ ! ~(Agentc knows whether 2) ] 0 | Theodore can now know that everyone is thirsty. | internal | 0 | 4 | not_entailment | [
"David",
"Mitchell",
"Theodore",
"James"
] | 60,935 | internal-0 | 0 | 0.998789 | 0.001211 |
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 Robin 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) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] Agentc knows that (Agenta knows that 4) | 1 | VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3,4 Agentb:1,2,3,4 Agentc:1,2,3,4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0 | Samuel can now know that Robin can know that Lisa's forehead is muddy. | forehead_mirror | 1 | 4 | not_entailment | [
"Robin",
"Cassandra",
"Samuel",
"Lisa"
] | 22,995 | forehead_mirror-0 | 0 | 0.997874 | 0.002126 |